LMFDB - Embedded newform 680.2.bz.a.587.69

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			587.69
Character	$\chi$	$=$	680.587
Dual form			680.2.bz.a.563.70

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.728189 - 1.21233i) q^{2} +(-0.0327956 + 0.0135844i) q^{3} +(-0.939481 - 1.76561i) q^{4} +(-1.39213 + 1.74985i) q^{5} +(-0.00741267 + 0.0496510i) q^{6} +(4.83165 + 2.00134i) q^{7} +(-2.82462 - 0.146738i) q^{8} +(-2.12043 + 2.12043i) q^{9} +O(q^{10})$	\(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} +(-0.00741267 + 0.0496510i) q^{6} +(4.83165 + 2.00134i) q^{7} +(-2.82462 - 0.146738i) q^{8} +(-2.12043 + 2.12043i) q^{9} +(1.10765 + 2.96194i) q^{10} +(-3.58180 + 1.48363i) q^{11} +(0.0547955 + 0.0451419i) q^{12} +(-3.78984 + 3.78984i) q^{13} +(5.94463 - 4.40020i) q^{14} +(0.0218853 - 0.0762985i) q^{15} +(-2.23475 + 3.31751i) q^{16} +(-1.80346 + 3.70777i) q^{17} +(1.02658 + 4.11473i) q^{18} +(-2.63383 - 2.63383i) q^{19} +(4.39743 + 0.814017i) q^{20} -0.185644 q^{21} +(-0.809580 + 5.42267i) q^{22} +(3.18338 + 1.31860i) q^{23} +(0.0946283 - 0.0335583i) q^{24} +(-1.12393 - 4.87204i) q^{25} +(1.83481 + 7.35425i) q^{26} +(0.0814891 - 0.196732i) q^{27} +(-1.00567 - 10.4110i) q^{28} +(1.42107 - 3.43077i) q^{29} +(-0.0765622 - 0.0820919i) q^{30} +(0.729663 - 1.76156i) q^{31} +(2.39459 + 5.12503i) q^{32} +(0.0973129 - 0.0973129i) q^{33} +(3.18177 + 4.88634i) q^{34} +(-10.2283 + 5.66852i) q^{35} +(5.73595 + 1.75175i) q^{36} +(1.38946 - 0.575535i) q^{37} +(-5.11099 + 1.27514i) q^{38} +(0.0728074 - 0.175773i) q^{39} +(4.18902 - 4.73837i) q^{40} +(-0.414729 - 1.00125i) q^{41} +(-0.135184 + 0.225061i) q^{42} +5.12864 q^{43} +(5.98454 + 4.93021i) q^{44} +(-0.758505 - 6.66235i) q^{45} +(3.91668 - 2.89912i) q^{46} +(0.519612 + 0.519612i) q^{47} +(0.0282237 - 0.139157i) q^{48} +(14.3898 + 14.3898i) q^{49} +(-6.72495 - 2.18520i) q^{50} +(0.00877787 - 0.146097i) q^{51} +(10.2519 + 3.13090i) q^{52} +3.61147 q^{53} +(-0.179164 - 0.242050i) q^{54} +(2.39022 - 8.33300i) q^{55} +(-13.3539 - 6.36200i) q^{56} +(0.122157 + 0.0505990i) q^{57} +(-3.12441 - 4.22105i) q^{58} +(-0.780898 + 0.780898i) q^{59} +(-0.155274 + 0.0330402i) q^{60} +(7.86852 - 3.25925i) q^{61} +(-1.60426 - 2.16734i) q^{62} +(-14.4889 + 6.00148i) q^{63} +(7.95694 + 0.828960i) q^{64} +(-1.35568 - 11.9076i) q^{65} +(-0.0471130 - 0.188837i) q^{66} +(5.89290 + 5.89290i) q^{67} +(8.24078 - 0.299168i) q^{68} -0.122313 q^{69} +(-0.576052 + 16.5279i) q^{70} +(-5.69563 + 13.7505i) q^{71} +(6.30055 - 5.67825i) q^{72} +(-3.74741 - 9.04705i) q^{73} +(0.314056 - 2.10359i) q^{74} +(0.103043 + 0.144514i) q^{75} +(-2.17588 + 7.12474i) q^{76} -20.2752 q^{77} +(-0.160077 - 0.216262i) q^{78} +(2.69275 - 1.11537i) q^{79} +(-2.69406 - 8.52889i) q^{80} -8.98866i q^{81} +(-1.51584 - 0.226308i) 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} +(10.3349 - 3.66510i) q^{88} -13.0061 q^{89} +(-8.62929 - 3.93189i) q^{90} +(-25.8959 + 10.7264i) q^{91} +(-0.662594 - 6.85941i) q^{92} +0.0676834i q^{93} +(1.00832 - 0.251565i) q^{94} +(8.27543 - 0.942154i) q^{95} +(-0.148152 - 0.135549i) q^{96} +(10.1835 - 4.21813i) q^{97} +(27.9236 - 6.96664i) 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 $\left(\mathbb{Z}/680\mathbb{Z}\right)^\times$.

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

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	−0.392131	−	0.919910i	$-0.628262\pi$
$3$	−0.0327956	+	0.0135844i	−0.0189345	+	0.00784294i	0.373196	+	0.927752i	$0.378262\pi$
$4$	−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
$6$	−0.00741267	+	0.0496510i	−0.00302621	+	0.0202699i
$7$	4.83165	+	2.00134i	1.82619	+	0.756434i	0.971394	+	0.237472i	$0.0763189\pi$
$7$	4.83165	+	2.00134i	1.82619	+	0.756434i	0.854798	+	0.518961i	$0.173681\pi$
$8$	−2.82462	−	0.146738i	−0.998653	−	0.0518799i
$9$	−2.12043	+	2.12043i	−0.706810	+	0.706810i
$10$	1.10765	+	2.96194i	0.350270	+	0.936649i
$11$	−3.58180	+	1.48363i	−1.07995	+	0.447331i	−0.850492	−	0.525987i	$-0.823696\pi$
$11$	−3.58180	+	1.48363i	−1.07995	+	0.447331i	−0.229460	+	0.973318i	$0.573696\pi$
$12$	0.0547955	+	0.0451419i	0.0158181	+	0.0130313i
$13$	−3.78984	+	3.78984i	−1.05111	+	1.05111i	−0.0524914	+	0.998621i	$0.516716\pi$
$13$	−3.78984	+	3.78984i	−1.05111	+	1.05111i	−0.998621	+	0.0524914i	$0.983284\pi$
$14$	5.94463	−	4.40020i	1.58877	−	1.17600i
$15$	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
$18$	1.02658	+	4.11473i	0.241968	+	0.969851i
$19$	−2.63383	−	2.63383i	−0.604241	−	0.604241i	0.337194	−	0.941435i	$-0.390522\pi$
$19$	−2.63383	−	2.63383i	−0.604241	−	0.604241i	−0.941435	+	0.337194i	$0.890522\pi$
$20$	4.39743	+	0.814017i	0.983295	+	0.182020i
$21$	−0.185644			−0.0405108
$22$	−0.809580	+	5.42267i	−0.172603	+	1.15612i
$23$	3.18338	+	1.31860i	0.663782	+	0.274947i	0.689029	−	0.724734i	$-0.258037\pi$
$23$	3.18338	+	1.31860i	0.663782	+	0.274947i	−0.0252473	+	0.999681i	$0.508037\pi$
$24$	0.0946283	−	0.0335583i	0.0193159	−	0.00685006i
$25$	−1.12393	−	4.87204i	−0.224786	−	0.974408i
$26$	1.83481	+	7.35425i	0.359836	+	1.44229i
$27$	0.0814891	−	0.196732i	0.0156826	−	0.0378611i
$28$	−1.00567	−	10.4110i	−0.190053	−	1.96750i
$29$	1.42107	−	3.43077i	0.263886	−	0.637078i	−0.735286	−	0.677757i	$-0.762952\pi$
$29$	1.42107	−	3.43077i	0.263886	−	0.637078i	0.999172	+	0.0406793i	$0.0129522\pi$
$30$	−0.0765622	−	0.0820919i	−0.0139783	−	0.0149879i
$31$	0.729663	−	1.76156i	0.131051	−	0.316386i	−0.844710	−	0.535225i	$-0.820227\pi$
$31$	0.729663	−	1.76156i	0.131051	−	0.316386i	0.975761	+	0.218839i	$0.0702269\pi$
$32$	2.39459	+	5.12503i	0.423308	+	0.905986i
$33$	0.0973129	−	0.0973129i	0.0169400	−	0.0169400i
$34$	3.18177	+	4.88634i	0.545669	+	0.838001i
$35$	−10.2283	+	5.66852i	−1.72890	+	0.958155i
$36$	5.73595	+	1.75175i	0.955992	+	0.291958i
$37$	1.38946	−	0.575535i	0.228426	−	0.0946173i	−0.265535	−	0.964101i	$-0.585548\pi$
$37$	1.38946	−	0.575535i	0.228426	−	0.0946173i	0.493961	+	0.869484i	$0.335548\pi$
$38$	−5.11099	+	1.27514i	−0.829112	+	0.206855i
$39$	0.0728074	−	0.175773i	0.0116585	−	0.0281462i
$40$	4.18902	−	4.73837i	0.662342	−	0.749202i
$41$	−0.414729	−	1.00125i	−0.0647698	−	0.156368i	0.888180	−	0.459495i	$-0.151970\pi$
$41$	−0.414729	−	1.00125i	−0.0647698	−	0.156368i	−0.952950	+	0.303127i	$0.901970\pi$
$42$	−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	$0.372110\pi$
$44$	5.98454	+	4.93021i	0.902203	+	0.743257i
$45$	−0.758505	−	6.66235i	−0.113071	−	0.993164i
$46$	3.91668	−	2.89912i	0.577484	−	0.427451i
$47$	0.519612	+	0.519612i	0.0757932	+	0.0757932i	0.743987	−	0.668194i	$-0.232932\pi$
$47$	0.519612	+	0.519612i	0.0757932	+	0.0757932i	−0.668194	+	0.743987i	$0.732932\pi$
$48$	0.0282237	−	0.139157i	0.00407373	−	0.0200856i
$49$	14.3898	+	14.3898i	2.05568	+	2.05568i
$50$	−6.72495	−	2.18520i	−0.951051	−	0.309034i
$51$	0.00877787	−	0.146097i	0.00122915	−	0.0204577i
$52$	10.2519	+	3.13090i	1.42168	+	0.434177i
$53$	3.61147			0.496074			0.248037	−	0.968751i	$-0.420215\pi$
$53$	3.61147			0.496074			0.248037	+	0.968751i	$0.420215\pi$
$54$	−0.179164	−	0.242050i	−0.0243812	−	0.0329388i
$55$	2.39022	−	8.33300i	0.322297	−	1.12362i
$56$	−13.3539	−	6.36200i	−1.78449	−	0.850157i
$57$	0.122157	+	0.0505990i	0.0161801	+	0.00670200i
$58$	−3.12441	−	4.22105i	−0.410255	−	0.554251i
$59$	−0.780898	+	0.780898i	−0.101664	+	0.101664i	−0.756109	−	0.654445i	$-0.772902\pi$
$59$	−0.780898	+	0.780898i	−0.101664	+	0.101664i	0.654445	+	0.756109i	$0.272902\pi$
$60$	−0.155274	+	0.0330402i	−0.0200458	+	0.00426547i
$61$	7.86852	−	3.25925i	1.00746	−	0.417304i	0.182933	−	0.983125i	$-0.441441\pi$
$61$	7.86852	−	3.25925i	1.00746	−	0.417304i	0.824528	+	0.565822i	$0.191441\pi$
$62$	−1.60426	−	2.16734i	−0.203741	−	0.275253i
$63$	−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
$66$	−0.0471130	−	0.188837i	−0.00579921	−	0.0232443i
$67$	5.89290	+	5.89290i	0.719933	+	0.719933i	0.968591	−	0.248658i	$-0.0799896\pi$
$67$	5.89290	+	5.89290i	0.719933	+	0.719933i	−0.248658	+	0.968591i	$0.579990\pi$
$68$	8.24078	−	0.299168i	0.999342	−	0.0362794i
$69$	−0.122313			−0.0147248
$70$	−0.576052	+	16.5279i	−0.0688514	+	1.97546i
$71$	−5.69563	+	13.7505i	−0.675946	+	1.63188i	0.0953814	+	0.995441i	$0.469593\pi$
$71$	−5.69563	+	13.7505i	−0.675946	+	1.63188i	−0.771328	+	0.636438i	$0.780407\pi$
$72$	6.30055	−	5.67825i	0.742527	−	0.669189i
$73$	−3.74741	−	9.04705i	−0.438601	−	1.05888i	−0.976432	−	0.215824i	$-0.930756\pi$
$73$	−3.74741	−	9.04705i	−0.438601	−	1.05888i	0.537831	−	0.843053i	$-0.319244\pi$
$74$	0.314056	−	2.10359i	0.0365082	−	0.244537i
$75$	0.103043	+	0.144514i	0.0118984	+	0.0166870i
$76$	−2.17588	+	7.12474i	−0.249590	+	0.817264i
$77$	−20.2752			−2.31058
$78$	−0.160077	−	0.216262i	−0.0181251	−	0.0244869i
$79$	2.69275	−	1.11537i	0.302958	−	0.125489i	−0.226025	−	0.974121i	$-0.572573\pi$
$79$	2.69275	−	1.11537i	0.302958	−	0.125489i	0.528984	+	0.848632i	$0.322573\pi$
$80$	−2.69406	−	8.52889i	−0.301206	−	0.953559i
$81$		−	8.98866i		−	0.998740i
$82$	−1.51584	−	0.226308i	−0.167396	−	0.0249915i
$83$			1.01502i			0.111413i	0.998447	+	0.0557063i	$0.0177410\pi$
$83$			1.01502i			0.111413i	−0.998447	+	0.0557063i	$0.982259\pi$
$84$	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
$88$	10.3349	−	3.66510i	1.10171	−	0.390701i
$89$	−13.0061			−1.37864			−0.689321	−	0.724456i	$-0.742091\pi$
$89$	−13.0061			−1.37864			−0.689321	+	0.724456i	$0.742091\pi$
$90$	−8.62929	−	3.93189i	−0.909607	−	0.414458i
$91$	−25.8959	+	10.7264i	−2.71463	+	1.12444i
$92$	−0.662594	−	6.85941i	−0.0690802	−	0.715143i
$93$			0.0676834i			0.00701845i
$94$	1.00832	−	0.251565i	0.104000	−	0.0259469i
$95$	8.27543	−	0.942154i	0.849041	−	0.0966630i
$96$	−0.148152	−	0.135549i	−0.0151207	−	0.0138344i
$97$	10.1835	−	4.21813i	1.03398	−	0.428287i	0.199830	−	0.979831i	$-0.435961\pi$
$97$	10.1835	−	4.21813i	1.03398	−	0.428287i	0.834146	+	0.551544i	$0.185961\pi$
$98$	27.9236	−	6.96664i	2.82071	−	0.703737i
$99$	4.44902	−	10.7409i	0.447143	−	1.07950i
$100$	−7.54621	+	6.56161i	−0.754621	+	0.656161i
$101$		−	14.3933i		−	1.43218i	−0.698007	−	0.716091i	$-0.745929\pi$
$101$		−	14.3933i		−	1.43218i	0.698007	−	0.716091i	$-0.254071\pi$
$102$	−0.170726	−	0.117028i	−0.0169044	−	0.0115875i
$103$	−5.94890	−	5.94890i	−0.586162	−	0.586162i	0.350428	−	0.936590i	$-0.386036\pi$
$103$	−5.94890	−	5.94890i	−0.586162	−	0.586162i	−0.936590	+	0.350428i	$0.886036\pi$
$104$	11.2610	−	10.1487i	1.10423	−	0.995166i
$105$	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	−0.479929	−	0.877307i	$-0.659338\pi$
$107$	−2.05786	+	0.852394i	−0.198941	+	0.0824040i	0.280988	+	0.959711i	$0.409338\pi$
$108$	−0.423910	+	0.0409481i	−0.0407907	+	0.00394023i
$109$	5.24541	+	12.6635i	0.502419	+	1.21295i	0.948162	+	0.317787i	$0.102940\pi$
$109$	5.24541	+	12.6635i	0.502419	+	1.21295i	−0.445743	+	0.895161i	$0.647060\pi$
$110$	−8.36181	−	8.96573i	−0.797267	−	0.854849i
$111$	−0.0377500	+	0.0377500i	−0.00358307	+	0.00358307i
$112$	−17.4370	+	11.5566i	−1.64764	+	1.09199i
$113$	−3.95762	+	9.55454i	−0.372302	+	0.898815i	0.621058	+	0.783765i	$0.286703\pi$
$113$	−3.95762	+	9.55454i	−0.372302	+	0.898815i	−0.993360	+	0.115051i	$0.963297\pi$
$114$	0.150296	−	0.111248i	0.0140765	−	0.0104194i
$115$	−6.73905	+	3.73477i	−0.628419	+	0.348269i
$116$	−7.39246	+	0.714085i	−0.686373	+	0.0663011i
$117$		−	16.0722i		−	1.48587i
$118$	0.378063	+	1.51535i	0.0348036	+	0.139499i
$119$	−16.1342	+	14.3053i	−1.47902	+	1.31136i
$120$	−0.0730134	+	0.212303i	−0.00666518	+	0.0193805i
$121$	2.84993	−	2.84993i	0.259085	−	0.259085i
$122$	1.77849	−	11.9126i	0.161017	−	1.07851i
$123$	0.0272026	+	0.0272026i	0.00245277	+	0.00245277i
$124$	−3.79573	+	0.366654i	−0.340867	+	0.0329265i
$125$	10.0900	+	4.81583i	0.902476	+	0.430741i
$126$	−3.27486	+	21.9355i	−0.291748	+	1.95417i
$127$	−4.40218			−0.390630			−0.195315	−	0.980741i	$-0.562573\pi$
$127$	−4.40218			−0.390630			−0.195315	+	0.980741i	$0.562573\pi$
$128$	6.79913	−	9.04278i	0.600964	−	0.799276i
$129$	−0.168197	+	0.0696694i	−0.0148089	+	0.00613405i
$130$	−15.4231	−	7.02747i	−1.35270	−	0.616350i
$131$	−5.56650	+	13.4387i	−0.486347	+	1.17415i	0.470198	+	0.882561i	$0.344183\pi$
$131$	−5.56650	+	13.4387i	−0.486347	+	1.17415i	−0.956545	+	0.291585i	$0.905817\pi$
$132$	−0.263240	−	0.0803930i	−0.0229121	−	0.00699731i
$133$	−7.45456	−	17.9969i	−0.646392	−	1.56053i
$134$	11.4353	−	2.85299i	0.987858	−	0.246460i
$135$	0.230807	+	0.416471i	0.0198647	+	0.0358441i
$136$	5.63816	−	10.2084i	0.483468	−	0.875362i
$137$	9.54788	+	9.54788i	0.815731	+	0.815731i	0.985486	−	0.169755i	$-0.0542978\pi$
$137$	9.54788	+	9.54788i	0.815731	+	0.815731i	−0.169755	+	0.985486i	$0.554298\pi$
$138$	−0.0890672	+	0.148284i	−0.00758191	+	0.0126228i
$139$	−3.09083	+	7.46193i	−0.262161	+	0.632912i	−0.999072	−	0.0430775i	$-0.986284\pi$
$139$	−3.09083	+	7.46193i	−0.262161	+	0.632912i	0.736911	+	0.675990i	$0.236284\pi$
$140$	19.6177	+	12.7338i	1.65800	+	1.07620i
$141$	−0.0240996	−	0.00998237i	−0.00202955	−	0.000840667i
$142$	12.5226	+	16.9179i	1.05087	+	1.41972i
$143$	7.95172	−	19.1972i	0.664956	−	1.60535i
$144$	−2.29592	−	11.7732i	−0.191326	−	0.981099i
$145$	4.02500	+	7.26274i	0.334258	+	0.603138i
$146$	−13.6968	−	2.04487i	−1.13356	−	0.169235i
$147$	−0.667396	−	0.276445i	−0.0550459	−	0.0228008i
$148$	−2.32154	−	1.91255i	−0.190830	−	0.157210i
$149$			10.2517i			0.839851i	0.907559	+	0.419925i	$0.137944\pi$
$149$			10.2517i			0.839851i	−0.907559	+	0.419925i	$0.862056\pi$
$150$	0.250233	−	0.0196893i	0.0204314	−	0.00160763i
$151$	17.1167	+	17.1167i	1.39294	+	1.39294i	0.818663	+	0.574274i	$0.194716\pi$
$151$	17.1167	+	17.1167i	1.39294	+	1.39294i	0.574274	+	0.818663i	$0.305284\pi$
$152$	7.05307	+	7.82604i	0.572080	+	0.634776i
$153$	−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
$156$	−0.378747	+	0.0365856i	−0.0303240	+	0.00292919i
$157$	−0.0419974	−	0.0419974i	−0.00335176	−	0.00335176i	0.705429	−	0.708781i	$-0.250754\pi$
$157$	−0.0419974	−	0.0419974i	−0.00335176	−	0.00335176i	−0.708781	+	0.705429i	$0.750754\pi$
$158$	0.608633	−	4.07670i	0.0484202	−	0.324325i
$159$	−0.118440	+	0.0490596i	−0.00939293	+	0.00389068i
$160$	−12.3016	−	2.94456i	−0.972528	−	0.232788i
$161$	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	−0.188362	−	0.982100i	$-0.560318\pi$
$163$	−12.9715	−	5.37295i	−1.01600	−	0.420842i	−0.827641	+	0.561257i	$0.810318\pi$
$164$	−1.37818	+	1.67290i	−0.107618	+	0.130632i
$165$	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	$-0.564466\pi$
$167$	4.51368	−	1.86963i	0.349279	−	0.144676i	0.550424	+	0.834885i	$0.314466\pi$
$168$	0.524372	+	0.0272411i	0.0404562	+	0.00210169i
$169$		−	15.7258i		−	1.20968i
$170$	−12.9798	−	1.23483i	−0.995505	−	0.0947074i
$171$	11.1697			0.854167
$172$	−4.81826	−	9.05518i	−0.367389	−	0.690451i
$173$	4.74045	+	11.4445i	0.360410	+	0.870106i	0.995240	+	0.0974547i	$0.0310701\pi$
$173$	4.74045	+	11.4445i	0.360410	+	0.870106i	−0.634830	+	0.772652i	$0.718930\pi$
$174$	0.159807	+	0.0959887i	0.0121150	+	0.00727689i
$175$	4.32016	−	25.7894i	0.326574	−	1.94949i
$176$	3.08247	−	15.1982i	0.232350	−	1.14561i
$177$	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	−0.902100	−	0.431528i	$-0.857975\pi$
$179$	−6.29582	+	6.29582i	−0.470572	+	0.470572i	0.431528	+	0.902100i	$0.357975\pi$
$180$	−11.0505	+	7.59837i	−0.823656	+	0.566349i
$181$	7.76237	+	18.7400i	0.576972	+	1.39293i	0.895517	+	0.445027i	$0.146806\pi$
$181$	7.76237	+	18.7400i	0.576972	+	1.39293i	−0.318545	+	0.947908i	$0.603194\pi$
$182$	−5.85316	+	39.2053i	−0.433865	+	2.90609i
$183$	−0.213778	+	0.213778i	−0.0158029	+	0.0158029i
$184$	−8.79836	−	4.19167i	−0.648623	−	0.309014i
$185$	−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
$188$	0.429266	−	1.40560i	0.0313075	−	0.102514i
$189$	0.787454	−	0.787454i	0.0572788	−	0.0572788i
$190$	4.88388	−	10.7186i	0.354314	−	0.777610i
$191$	13.1658			0.952647			0.476323	−	0.879270i	$-0.341969\pi$
$191$	13.1658			0.952647			0.476323	+	0.879270i	$0.341969\pi$
$192$	−0.272213	+	0.0809038i	−0.0196453	+	0.00583873i
$193$	4.43576	−	10.7089i	0.319293	−	0.770842i	−0.679999	−	0.733213i	$-0.738020\pi$
$193$	4.43576	−	10.7089i	0.319293	−	0.770842i	0.999292	−	0.0376285i	$-0.0119804\pi$
$194$	2.30173	−	15.4173i	0.165255	−	1.10690i
$195$	0.206218	+	0.372101i	0.0147675	+	0.0266467i
$196$	11.8878	−	38.9256i	0.849128	−	2.78040i
$197$	−5.67996	−	2.35271i	−0.404680	−	0.167624i	0.171053	−	0.985262i	$-0.445283\pi$
$197$	−5.67996	−	2.35271i	−0.404680	−	0.167624i	−0.575733	+	0.817638i	$0.695283\pi$
$198$	−9.78174	−	13.2151i	−0.695158	−	0.939153i
$199$	5.62116	−	13.5707i	0.398473	−	0.962000i	−0.589555	−	0.807728i	$-0.700697\pi$
$199$	5.62116	−	13.5707i	0.398473	−	0.962000i	0.988028	−	0.154272i	$-0.0493031\pi$
$200$	2.45975	+	13.9266i	0.173931	+	0.984758i
$201$	−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
$204$	−0.266197	+	0.121757i	−0.0186375	+	0.00852471i
$205$	2.32938	+	0.668154i	0.162691	+	0.0466659i
$206$	−11.5439	+	2.88009i	−0.804304	+	0.200666i
$207$	−9.54614	+	3.95414i	−0.663503	+	0.274832i
$208$	−4.10349	−	21.0422i	−0.284526	−	1.45901i
$209$	13.3414	+	5.52621i	0.922847	+	0.382256i
$210$	−0.205629	−	0.549866i	−0.0141897	−	0.0379444i
$211$	6.15039	+	14.8484i	0.423410	+	1.02220i	0.981334	+	0.192311i	$0.0615981\pi$
$211$	6.15039	+	14.8484i	0.423410	+	1.02220i	−0.557924	+	0.829892i	$0.688402\pi$
$212$	−3.39291	−	6.37645i	−0.233026	−	0.437936i
$213$		−	0.528326i		−	0.0362003i
$214$	−0.465131	+	3.11551i	−0.0317957	+	0.212972i
$215$	−7.13975	+	8.97434i	−0.486927	+	0.612045i
$216$	−0.259044	+	0.543736i	−0.0176257	+	0.0369965i
$217$	7.05095	−	7.05095i	0.478650	−	0.478650i
$218$	19.1720	+	2.86230i	1.29849	+	0.193859i
$219$	0.245797	+	0.245797i	0.0166094	+	0.0166094i
$220$	−16.9584	+	3.60851i	−1.14333	+	0.243286i
$221$	−7.21701	−	20.8867i	−0.485469	−	1.40499i
$222$	0.0182763	+	0.0732545i	0.00122662	+	0.00491652i
$223$	−13.0756			−0.875608			−0.437804	−	0.899070i	$-0.644244\pi$
$223$	−13.0756			−0.875608			−0.437804	+	0.899070i	$0.644244\pi$
$224$	1.31293	+	29.5547i	0.0877237	+	1.97471i
$225$	12.7140	+	7.94761i	0.847602	+	0.529841i
$226$	8.70134	+	11.7554i	0.578805	+	0.781961i
$227$	−7.32678	−	3.03485i	−0.486295	−	0.201430i	0.126045	−	0.992025i	$-0.459772\pi$
$227$	−7.32678	−	3.03485i	−0.486295	−	0.201430i	−0.612340	+	0.790594i	$0.709772\pi$
$228$	−0.0254259	−	0.263218i	−0.00168387	−	0.0174320i
$229$	9.79726	+	9.79726i	0.647421	+	0.647421i	0.952369	−	0.304948i	$-0.0986391\pi$
$229$	9.79726	+	9.79726i	0.647421	+	0.647421i	−0.304948	+	0.952369i	$0.598639\pi$
$230$	−0.379538	+	10.8896i	−0.0250260	+	0.718036i
$231$	0.664938	−	0.275426i	0.0437497	−	0.0181217i
$232$	−4.51741	+	9.48208i	−0.296582	+	0.622529i
$233$	−7.24951	−	17.5019i	−0.474931	−	1.14659i	−0.961958	−	0.273198i	$-0.911918\pi$
$233$	−7.24951	−	17.5019i	−0.474931	−	1.14659i	0.487026	−	0.873387i	$-0.338082\pi$
$234$	−19.4848	−	11.7036i	−1.27376	−	0.765088i
$235$	−1.63261	+	0.185872i	−0.106500	+	0.0121250i
$236$	2.11240	+	0.645122i	0.137506	+	0.0419939i
$237$	−0.0731587	+	0.0731587i	−0.00475217	+	0.00475217i
$238$	5.59399	+	29.9769i	0.362604	+	1.94311i
$239$	2.74482			0.177548			0.0887739	−	0.996052i	$-0.471705\pi$
$239$	2.74482			0.177548			0.0887739	+	0.996052i	$0.471705\pi$
$240$	0.204213	+	0.243113i	0.0131819	+	0.0156929i
$241$	−16.5587	−	6.85884i	−1.06664	−	0.441817i	−0.220836	−	0.975311i	$-0.570879\pi$
$241$	−16.5587	−	6.85884i	−1.06664	−	0.441817i	−0.845804	+	0.533494i	$0.820879\pi$
$242$	−1.37976	−	5.53034i	−0.0886945	−	0.355504i
$243$	0.366573	+	0.884985i	0.0235156	+	0.0567718i
$244$	−13.1469	−	10.8307i	−0.841643	−	0.693366i
$245$	−45.2123	+	5.14740i	−2.88851	+	0.328856i
$246$	0.0527871	−	0.0131698i	0.00336558	−	0.000839678i
$247$	19.9636			1.27025
$248$	−2.31951	+	4.86867i	−0.147289	+	0.309161i
$249$	−0.0137884	−	0.0332881i	−0.000873802	−	0.00210955i
$250$	13.1858	−	8.72554i	0.833942	−	0.551851i
$251$		−	17.9374i		−	1.13220i	−0.824337	−	0.566100i	$-0.808452\pi$
$251$		−	17.9374i		−	1.13220i	0.824337	−	0.566100i	$-0.191548\pi$
$252$	24.2083	+	19.9434i	1.52498	+	1.25632i
$253$	−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	$0.437991\pi$
$258$	−0.0380169	+	0.254642i	−0.00236683	+	0.0158533i
$259$	7.86524			0.488722
$260$	−19.7505	+	13.5806i	−1.22488	+	0.842231i
$261$	4.26142	+	10.2880i	0.263775	+	0.636810i
$262$	12.2387	+	16.5344i	0.756108	+	1.02150i
$263$			27.0986i			1.67097i	0.549512	+	0.835486i	$0.314814\pi$
$263$			27.0986i			1.67097i	−0.549512	+	0.835486i	$0.685186\pi$
$264$	−0.289151	+	0.260592i	−0.0177960	+	0.0160383i
$265$	−5.02765	+	6.31952i	−0.308846	+	0.388205i
$266$	−27.2465	−	4.06777i	−1.67059	−	0.249411i
$267$	0.426542	−	0.176679i	0.0261039	−	0.0108126i
$268$	4.86830	−	15.9408i	0.297379	−	0.973742i
$269$	−18.7038	−	7.74736i	−1.14039	−	0.472365i	−0.269089	−	0.963115i	$-0.586723\pi$
$269$	−18.7038	−	7.74736i	−1.14039	−	0.472365i	−0.871300	+	0.490751i	$0.836723\pi$
$270$	0.672971	+	0.0234553i	0.0409557	+	0.00142745i
$271$			0.635539i			0.0386063i	0.999814	+	0.0193031i	$0.00614476\pi$
$271$			0.635539i			0.0386063i	−0.999814	+	0.0193031i	$0.993855\pi$
$272$	−8.27027	−	14.2689i	−0.501459	−	0.865182i
$273$	0.703560	−	0.703560i	0.0425814	−	0.0425814i
$274$	18.5278	−	4.62251i	1.11931	−	0.279256i
$275$	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	$-0.0199172\pi$
$277$	4.12927	+	9.96895i	0.248104	+	0.598976i	−0.749939	+	0.661507i	$0.769917\pi$
$278$	6.79560	+	9.18080i	0.407573	+	0.550628i
$279$	2.18807	+	5.28246i	0.130996	+	0.316253i
$280$	29.7229	−	14.5105i	1.77628	−	0.867169i
$281$	16.0075	+	16.0075i	0.954930	+	0.954930i	0.999027	−	0.0440975i	$-0.0140412\pi$
$281$	16.0075	+	16.0075i	0.954930	+	0.954930i	−0.0440975	+	0.999027i	$0.514041\pi$
$282$	−0.0296510	+	0.0219475i	−0.00176569	+	0.00130696i
$283$	4.95909	−	11.9723i	0.294787	−	0.711680i	−0.705209	−	0.708999i	$-0.749147\pi$
$283$	4.95909	−	11.9723i	0.294787	−	0.711680i	0.999996	−	0.00268022i	$-0.000853140\pi$
$284$	29.6289	−	2.86204i	1.75815	−	0.169831i
$285$	−0.258599	+	0.143315i	−0.0153181	+	0.00848925i
$286$	−17.4829	−	23.6193i	−1.03379	−	1.39664i
$287$		−	5.66768i		−	0.334553i
$288$	−15.9448	−	5.78970i	−0.939558	−	0.341161i
$289$	−10.4951	−	13.3736i	−0.617356	−	0.786684i
$290$	11.7358	+	0.409032i	0.689149	+	0.0240192i
$291$	−0.276672	+	0.276672i	−0.0162188	+	0.0162188i
$292$	−12.4529	+	15.1160i	−0.728753	+	0.884596i
$293$	6.63836	−	6.63836i	0.387817	−	0.387817i	−0.486091	−	0.873908i	$-0.661578\pi$
$293$	6.63836	−	6.63836i	0.387817	−	0.387817i	0.873908	+	0.486091i	$0.161578\pi$
$294$	−0.821132	+	0.607799i	−0.0478894	+	0.0354476i
$295$	−0.279338	−	2.45357i	−0.0162637	−	0.142852i
$296$	−4.00916	+	1.42178i	−0.233028	+	0.0826392i
$297$			0.825554i			0.0479035i
$298$	12.4284	+	7.46517i	0.719958	+	0.432445i
$299$	−17.0618	+	7.06723i	−0.986710	+	0.408709i
$300$	0.158347	−	0.317702i	0.00914217	−	0.0183425i
$301$	24.7798	+	10.2641i	1.42828	+	0.591615i
$302$	33.2153	−	8.28687i	1.91132	−	0.476856i
$303$	0.195523	+	0.472035i	0.0112325	+	0.0271177i
$304$	14.6237	−	2.85180i	0.838727	−	0.163562i
$305$	−5.25085	+	18.3060i	−0.300663	+	1.04820i
$306$	−17.1079	−	3.61443i	−0.977991	−	0.206623i
$307$	−4.28651	−	4.28651i	−0.244644	−	0.244644i	0.574124	−	0.818768i	$-0.305343\pi$
$307$	−4.28651	−	4.28651i	−0.244644	−	0.244644i	−0.818768	+	0.574124i	$0.805343\pi$
$308$	19.0482	+	35.7981i	1.08537	+	2.03979i
$309$	0.275910	+	0.114285i	0.0156959	+	0.00650147i
$310$	6.02586	+	0.210022i	0.342246	+	0.0119284i
$311$	−9.49060	−	3.93114i	−0.538163	−	0.222914i	0.0970114	−	0.995283i	$-0.469072\pi$
$311$	−9.49060	−	3.93114i	−0.538163	−	0.222914i	−0.635174	+	0.772369i	$0.719072\pi$
$312$	−0.231446	+	0.485807i	−0.0131030	+	0.0275034i
$313$	13.8540	+	5.73853i	0.783077	+	0.324361i	0.738156	−	0.674630i	$-0.235697\pi$
$313$	13.8540	+	5.73853i	0.783077	+	0.324361i	0.0449203	+	0.998991i	$0.485697\pi$
$314$	−0.0814967	+	0.0203326i	−0.00459913	+	0.00114743i
$315$	9.66876	−	33.7082i	0.544773	−	1.89924i
$316$	−4.49910	−	3.70647i	−0.253094	−	0.208505i
$317$	9.26650	−	22.3713i	0.520459	−	1.25650i	−0.417160	−	0.908833i	$-0.636975\pi$
$317$	9.26650	−	22.3713i	0.520459	−	1.25650i	0.937619	−	0.347665i	$-0.113025\pi$
$318$	−0.0267706	+	0.179313i	−0.00150122	+	0.0100554i
$319$			14.3967i			0.806058i
$320$	−12.5277	+	12.7694i	−0.700318	+	0.713831i
$321$	0.0559095	−	0.0559095i	0.00312056	−	0.00312056i
$322$	24.7262	−	6.16892i	1.37793	−	0.343780i
$323$	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
$326$	−15.9595	+	11.8131i	−0.883913	+	0.654269i
$327$	−0.344053	−	0.344053i	−0.0190262	−	0.0190262i
$328$	1.02453	+	2.88899i	0.0565703	+	0.159518i
$329$	1.47067	+	3.55050i	0.0810804	+	0.195745i
$330$	0.396024	+	0.180446i	0.0218004	+	0.00993325i
$331$	13.4516	+	13.4516i	0.739365	+	0.739365i	0.972455	−	0.233090i	$-0.0748837\pi$
$331$	13.4516	+	13.4516i	0.739365	+	0.739365i	−0.233090	+	0.972455i	$0.574884\pi$
$332$	1.79212	−	0.953589i	0.0983555	−	0.0523350i
$333$	−1.72588	+	4.16664i	−0.0945776	+	0.228331i
$334$	1.02021	−	6.83350i	0.0558234	−	0.373913i
$335$	−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	0.839555	−	0.543275i	$-0.182816\pi$
$337$	−2.53800	−	6.12728i	−0.138254	−	0.333774i	−0.977808	+	0.209501i	$0.932816\pi$
$338$	−19.0648	−	11.4514i	−1.03699	−	0.622872i
$339$		−	0.367108i		−	0.0199386i
$340$	−10.9488	+	14.8366i	−0.593781	+	0.804627i
$341$			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
$346$	17.3264	+	2.58675i	0.931473	+	0.139065i
$347$	10.9428	−	26.4182i	0.587438	−	1.41820i	−0.298505	−	0.954408i	$-0.596488\pi$
$347$	10.9428	−	26.4182i	0.587438	−	1.41820i	0.885943	−	0.463794i	$-0.153512\pi$
$348$	0.232740	−	0.123841i	0.0124762	−	0.00663857i
$349$	−11.3173	−	11.3173i	−0.605801	−	0.605801i	0.336045	−	0.941846i	$-0.390911\pi$
$349$	−11.3173	−	11.3173i	−0.605801	−	0.605801i	−0.941846	+	0.336045i	$0.890911\pi$
$350$	−28.1193	−	24.0170i	−1.50304	−	1.28376i
$351$	0.436753	+	1.05441i	0.0233121	+	0.0562805i
$352$	−16.1806	−	14.8041i	−0.862428	−	0.789062i
$353$	−3.74286	−	3.74286i	−0.199213	−	0.199213i	0.600450	−	0.799662i	$-0.294988\pi$
$353$	−3.74286	−	3.74286i	−0.199213	−	0.199213i	−0.799662	+	0.600450i	$0.794988\pi$
$354$	−0.0329839	−	0.0445609i	−0.00175307	−	0.00236839i
$355$	−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
$358$	3.04805	+	12.2172i	0.161095	+	0.645697i
$359$	10.8900	−	10.8900i	0.574751	−	0.574751i	−0.358701	−	0.933452i	$-0.616780\pi$
$359$	10.8900	−	10.8900i	0.574751	−	0.574751i	0.933452	+	0.358701i	$0.116780\pi$
$360$	1.16487	+	18.9299i	0.0613938	+	0.997693i
$361$		−	5.12591i		−	0.269785i
$362$	28.3715	+	4.23574i	1.49117	+	0.222625i
$363$	−0.0547506	+	0.132180i	−0.00287366	+	0.00693763i
$364$	43.2674	+	35.6448i	2.26783	+	1.86830i
$365$	21.0478	+	6.03731i	1.10169	+	0.316007i
$366$	0.103498	+	0.414840i	0.00540994	+	0.0216840i
$367$	20.7069	+	8.57708i	1.08089	+	0.447720i	0.850822	−	0.525454i	$-0.176105\pi$
$367$	20.7069	+	8.57708i	1.08089	+	0.447720i	0.230070	+	0.973174i	$0.426105\pi$
$368$	−11.4885	+	7.61417i	−0.598882	+	0.396916i
$369$	3.00247	+	1.24367i	0.156303	+	0.0647426i
$370$	3.24374	+	3.47802i	0.168634	+	0.180814i
$371$	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	$-0.387313\pi$
$373$	−11.4203	−	11.4203i	−0.591319	−	0.591319i	−0.937988	+	0.346669i	$0.887313\pi$
$374$	−18.6460	−	12.7813i	−0.964160	−	0.660906i
$375$	−0.396327	−	0.0208719i	−0.0204662	−	0.00107782i
$376$	−1.39146	−	1.54395i	−0.0717590	−	0.0796233i
$377$	7.61643	+	18.3877i	0.392266	+	0.947015i
$378$	−0.381237	−	1.52807i	−0.0196087	−	0.0785954i
$379$	14.5914	+	6.04396i	0.749510	+	0.310457i	0.724542	−	0.689231i	$-0.242051\pi$
$379$	14.5914	+	6.04396i	0.749510	+	0.310457i	0.0249686	+	0.999688i	$0.492051\pi$
$380$	−9.43809	−	13.7260i	−0.484164	−	0.704131i
$381$	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	$-0.0549639\pi$
$384$	−0.100141	+	0.388925i	−0.00511029	+	0.0198473i
$385$	28.2258	−	35.4785i	1.43852	−	1.80815i
$386$	−9.75260	−	13.1757i	−0.496394	−	0.670625i
$387$	−10.8749	+	10.8749i	−0.552803	+	0.552803i
$388$	−17.0148	−	14.0172i	−0.863794	−	0.711615i
$389$	5.32951	−	5.32951i	0.270217	−	0.270217i	−0.558971	−	0.829187i	$-0.688804\pi$
$389$	5.32951	−	5.32951i	0.270217	−	0.270217i	0.829187	+	0.558971i	$0.188804\pi$
$390$	0.601274	+	0.0209564i	0.0304467	+	0.00106117i
$391$	−10.6302	+	9.42520i	−0.537591	+	0.476653i
$392$	−38.5340	−	42.7571i	−1.94626	−	2.15956i
$393$		−	0.516348i		−	0.0260463i
$394$	−6.98835	+	5.17275i	−0.352068	+	0.260599i
$395$	−1.79694	+	6.26465i	−0.0904137	+	0.315209i
$396$	−23.1439	+	2.23562i	−1.16303	+	0.112344i
$397$	−0.408176	+	0.985424i	−0.0204858	+	0.0494570i	−0.933791	−	0.357818i	$-0.883521\pi$
$397$	−0.408176	+	0.985424i	−0.0204858	+	0.0494570i	0.913306	+	0.407275i	$0.133521\pi$
$398$	−12.3589	−	16.6967i	−0.619493	−	0.836931i
$399$	0.488953	+	0.488953i	0.0244783	+	0.0244783i
$400$	18.6748	+	7.15916i	0.933738	+	0.357958i
$401$	−5.38206	−	12.9934i	−0.268767	−	0.648862i	0.730658	−	0.682743i	$-0.239213\pi$
$401$	−5.38206	−	12.9934i	−0.268767	−	0.648862i	−0.999426	+	0.0338813i	$0.989213\pi$
$402$	−0.336271	+	0.248907i	−0.0167717	+	0.0124143i
$403$	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
$406$	−6.64831	−	26.6476i	−0.329950	−	1.32250i
$407$	−4.12290	+	4.12290i	−0.204364	+	0.204364i
$408$	−0.0462322	+	0.411381i	−0.00228883	+	0.0203664i
$409$		−	20.9865i		−	1.03772i	−0.854860	−	0.518858i	$-0.826357\pi$
$409$		−	20.9865i		−	1.03772i	0.854860	−	0.518858i	$-0.173643\pi$
$410$	2.50626	−	2.33744i	0.123775	−	0.115438i
$411$	−0.442830	−	0.183426i	−0.0218432	−	0.00904776i
$412$	−4.91455	+	16.0923i	−0.242123	+	0.792811i
$413$	−5.33587	+	2.21019i	−0.262561	+	0.108756i
$414$	−2.15768	+	14.4524i	−0.106044	+	0.710298i
$415$	−1.77612	−	1.41304i	−0.0871865	−	0.0693634i
$416$	−28.4982	−	10.3479i	−1.39724	−	0.507349i
$417$		−	0.286705i		−	0.0140400i
$418$	16.4147	−	12.1501i	0.802868	−	0.594280i
$419$	7.05984	+	17.0440i	0.344896	+	0.832652i	0.997206	+	0.0747001i	$0.0237999\pi$
$419$	7.05984	+	17.0440i	0.344896	+	0.832652i	−0.652310	+	0.757952i	$0.726200\pi$
$420$	−0.816355	−	0.151117i	−0.0398340	−	0.00737376i
$421$	21.0532			1.02607			0.513035	−	0.858368i	$-0.328521\pi$
$421$	21.0532			1.02607			0.513035	+	0.858368i	$0.328521\pi$
$422$	22.4797	+	3.35612i	1.09430	+	0.163373i
$423$	−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
$428$	3.43831	+	2.83257i	0.166197	+	0.136917i
$429$			0.737601i			0.0356117i
$430$	5.68075	+	15.1907i	0.273950	+	0.732563i
$431$	−10.4544	−	25.2391i	−0.503570	−	1.21573i	−0.947527	−	0.319677i	$-0.896426\pi$
$431$	−10.4544	−	25.2391i	−0.503570	−	1.21573i	0.443957	−	0.896048i	$-0.353574\pi$
$432$	0.470553	+	0.709989i	0.0226395	+	0.0341593i
$433$	10.3594			0.497843			0.248921	−	0.968524i	$-0.419924\pi$
$433$	10.3594			0.497843			0.248921	+	0.968524i	$0.419924\pi$
$434$	−3.41364	−	13.6825i	−0.163860	−	0.656781i
$435$	−0.230662	−	0.183509i	−0.0110594	−	0.00879857i
$436$	17.4309	−	21.1585i	0.834789	−	1.01331i
$437$	−4.91152	−	11.8575i	−0.234950	−	0.567219i
$438$	0.476973	−	0.119000i	0.0227907	−	0.00568604i
$439$	−16.5053	−	6.83673i	−0.787756	−	0.326299i	−0.0477150	−	0.998861i	$-0.515194\pi$
$439$	−16.5053	−	6.83673i	−0.787756	−	0.326299i	−0.740041	+	0.672562i	$0.765194\pi$
$440$	−7.97422	+	23.1868i	−0.380156	+	1.10539i
$441$	−61.0249			−2.90595
$442$	−30.5769	−	6.46006i	−1.45439	−	0.307274i
$443$	−12.3296	+	12.3296i	−0.585796	+	0.585796i	−0.936490	−	0.350694i	$-0.885946\pi$
$443$	−12.3296	+	12.3296i	−0.585796	+	0.585796i	0.350694	+	0.936490i	$0.385946\pi$
$444$	0.102117	+	0.0311863i	0.00484627	+	0.00148004i
$445$	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
$448$	36.7861	+	19.9297i	1.73798	+	0.941592i
$449$	−9.69145	+	4.01433i	−0.457368	+	0.189448i	−0.599459	−	0.800406i	$-0.704617\pi$
$449$	−9.69145	+	4.01433i	−0.457368	+	0.189448i	0.142091	+	0.989854i	$0.454617\pi$
$450$	18.8933	−	9.62621i	0.890640	−	0.453784i
$451$	2.97095	+	2.97095i	0.139897	+	0.139897i
$452$	20.5877	−	1.98870i	0.968363	−	0.0935404i
$453$	−0.793872	−	0.328832i	−0.0372993	−	0.0154499i
$454$	−9.01451	+	6.67251i	−0.423072	+	0.313157i
$455$	17.2810	−	60.2466i	0.810144	−	2.82440i
$456$	−0.337621	−	0.160848i	−0.0158106	−	0.00753239i
$457$	−22.4971			−1.05237			−0.526184	−	0.850371i	$-0.676378\pi$
$457$	−22.4971			−1.05237			−0.526184	+	0.850371i	$0.676378\pi$
$458$	19.0118	−	4.74324i	0.888361	−	0.221637i
$459$	0.582474	+	0.656941i	0.0271876	+	0.0306634i
$460$	12.9253	+	8.38978i	0.602647	+	0.391176i
$461$	23.8882	+	23.8882i	1.11259	+	1.11259i	0.992800	+	0.119787i	$0.0382211\pi$
$461$	23.8882	+	23.8882i	1.11259	+	1.11259i	0.119787	+	0.992800i	$0.461779\pi$
$462$	0.150293	−	1.00669i	0.00699228	−	0.0468352i
$463$	−14.5492	+	14.5492i	−0.676157	+	0.676157i	−0.959128	−	0.282971i	$-0.908680\pi$
$463$	−14.5492	+	14.5492i	−0.676157	+	0.676157i	0.282971	+	0.959128i	$0.408680\pi$
$464$	8.20587	+	12.3813i	0.380948	+	0.574789i
$465$	−0.118436	−	0.0942244i	−0.00549232	−	0.00436955i
$466$	−26.4970	−	3.95588i	−1.22745	−	0.183253i
$467$			26.8827i			1.24398i	0.783024	+	0.621992i	$0.213676\pi$
$467$			26.8827i			1.24398i	−0.783024	+	0.621992i	$0.786324\pi$
$468$	−28.3772	+	15.0995i	−1.31174	+	0.697975i
$469$	16.6788	+	40.2661i	0.770154	+	1.85932i
$470$	−0.963512	+	2.11461i	−0.0444435	+	0.0975397i
$471$	0.00194784		0.000806821i	8.97516e−5		3.71763e-5i
$472$	2.32033	−	2.09115i	0.106802	−	0.0962531i
$473$	−18.3697	+	7.60900i	−0.844642	+	0.349862i
$474$	0.0354190	+	0.141966i	0.00162685	+	0.00652070i
$475$	−9.87188	+	15.7923i	−0.452953	+	0.724602i
$476$	40.4153	+	15.0471i	1.85243	+	0.689682i
$477$	−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	$-0.599493\pi$
$479$	−26.2147	−	10.8585i	−1.19778	−	0.496138i	−0.890282	+	0.455410i	$0.849493\pi$
$480$	0.443438	−	0.0705412i	0.0202401	−	0.00321975i
$481$	−3.08466	+	7.44703i	−0.140648	+	0.339556i
$482$	−20.3730	+	15.0801i	−0.927967	+	0.686878i
$483$	−0.590975	−	0.244790i	−0.0268903	−	0.0111383i
$484$	−7.70932	−	2.35441i	−0.350424	−	0.107019i
$485$	−6.79567	+	23.6917i	−0.308576	+	1.07579i
$486$	1.33983	+	0.200030i	0.0607758	+	0.00907354i
$487$	−3.55300	+	8.57770i	−0.161002	+	0.388693i	−0.983708	−	0.179774i	$-0.942463\pi$
$487$	−3.55300	+	8.57770i	−0.161002	+	0.388693i	0.822706	+	0.568467i	$0.192463\pi$
$488$	−22.7038	+	8.05151i	−1.02775	+	0.364475i
$489$	0.498395			0.0225382
$490$	−26.6828	+	58.5605i	−1.20541	+	2.64549i
$491$	23.0290	−	23.0290i	1.03929	−	1.03929i	0.0400892	−	0.999196i	$-0.487236\pi$
$491$	23.0290	−	23.0290i	1.03929	−	1.03929i	0.999196	−	0.0400892i	$-0.0127642\pi$
$492$	0.0224728	−	0.0735854i	0.00101315	−	0.00331749i
$493$	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
$496$	4.21339	+	6.35732i	0.189187	+	0.285452i
$497$	−55.0385	+	55.0385i	−2.46882	+	2.46882i
$498$	−0.0503966	−	0.00752398i	−0.00225833	−	0.000337158i
$499$	3.75111	+	9.05598i	0.167923	+	0.405401i	0.985330	−	0.170659i	$-0.0545895\pi$
$499$	3.75111	+	9.05598i	0.167923	+	0.405401i	−0.817408	+	0.576060i	$0.804590\pi$
$500$	−0.976469	−	22.3393i	−0.0436690	−	0.999046i
$501$	−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	$-0.833349\pi$
$503$	2.23968	−	5.40706i	0.0998624	−	0.241089i	0.965913	+	0.258867i	$0.0833493\pi$
$504$	41.8062	−	14.8258i	1.86219	−	0.660395i
$505$	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	$-0.617652\pi$
$509$	−16.3006			−0.722510			−0.361255	+	0.932467i	$0.617652\pi$
$510$	0.442454	−	0.135825i	0.0195922	−	0.00601445i
$511$		−	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
$516$	0.281027	+	0.231517i	0.0123715	+	0.0101920i
$517$	−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
$520$	2.08196	+	33.8334i	0.0913001	+	1.48369i
$521$	−1.82662	+	0.756612i	−0.0800258	+	0.0331478i	−0.422337	−	0.906439i	$-0.638790\pi$
$521$	−1.82662	+	0.756612i	−0.0800258	+	0.0331478i	0.342311	+	0.939587i	$0.388790\pi$
$522$	15.5755	+	2.32536i	0.681723	+	0.101778i
$523$	13.6333	+	13.6333i	0.596144	+	0.596144i	0.939284	−	0.343140i	$-0.111490\pi$
$523$	13.6333	+	13.6333i	0.596144	+	0.596144i	−0.343140	+	0.939284i	$0.611490\pi$
$524$	28.9571	−	2.79715i	1.26500	−	0.122194i
$525$	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
$528$	0.105367	+	0.540307i	0.00458549	+	0.0235138i
$529$	−7.86823	−	7.86823i	−0.342097	−	0.342097i
$530$	4.00025	+	10.6970i	0.173760	+	0.464647i
$531$		−	3.31168i		−	0.143715i
$532$	−24.7721	+	30.0696i	−1.07401	+	1.30368i
$533$	5.36632	+	2.22280i	0.232441	+	0.0962802i
$534$	0.0964097	−	0.645765i	0.00417205	−	0.0279450i
$535$	1.37326	−	4.78759i	0.0593711	−	0.206985i
$536$	−15.7805	−	17.5099i	−0.681613	−	0.756313i
$537$	0.120950	−	0.292000i	0.00521939	−	0.0126007i
$538$	−23.0122	+	17.0336i	−0.992128	+	0.734370i
$539$	−72.8902	−	30.1921i	−3.13960	−	1.30047i
$540$	0.518486	−	0.798782i	0.0223121	−	0.0343741i
$541$	2.62610	−	6.33997i	0.112905	−	0.272576i	−0.857319	−	0.514785i	$-0.827872\pi$
$541$	2.62610	−	6.33997i	0.112905	−	0.272576i	0.970224	+	0.242208i	$0.0778718\pi$
$542$	0.770482	+	0.462793i	0.0330950	+	0.0198787i
$543$	−0.509143	−	0.509143i	−0.0218494	−	0.0218494i
$544$	−23.3210	−	0.364205i	−0.999878	−	0.0156152i
$545$	−29.4616	−	8.45068i	−1.26200	−	0.361987i
$546$	−0.340621	−	1.36527i	−0.0145772	−	0.0584282i
$547$	−8.22001	−	19.8449i	−0.351462	−	0.848505i	−0.996440	−	0.0843035i	$-0.973133\pi$
$547$	−8.22001	−	19.8449i	−0.351462	−	0.848505i	0.644978	−	0.764201i	$-0.276867\pi$
$548$	7.88778	−	25.8279i	0.336949	−	1.10331i
$549$	−9.77363	+	23.5956i	−0.417129	+	1.00704i
$550$	27.3294	−	2.15039i	1.16533	−	0.0916928i
$551$	−12.7789	+	5.29320i	−0.544400	+	0.225498i
$552$	0.345488	+	0.0179481i	0.0147050	+	0.000763920i
$553$	15.2427			0.648184
$554$	15.0925	+	2.25324i	0.641220	+	0.0957312i
$555$	−0.0135037	−	0.118610i	−0.000573199	−	0.00503470i
$556$	16.0786	−	1.55314i	0.681886	−	0.0658677i
$557$	0.937247	+	0.937247i	0.0397124	+	0.0397124i	0.726684	−	0.686972i	$-0.241060\pi$
$557$	0.937247	+	0.937247i	0.0397124	+	0.0397124i	−0.686972	+	0.726684i	$0.741060\pi$
$558$	7.99741	+	1.19398i	0.338557	+	0.0505450i
$559$	−19.4367	+	19.4367i	−0.822086	+	0.822086i
$560$	4.05240	−	46.6004i	0.171245	−	1.96922i
$561$	0.185313	+	0.536313i	0.00782394	+	0.0226432i
$562$	31.0629	−	7.74988i	1.31031	−	0.326909i
$563$		−	11.7967i		−	0.497172i	−0.968610	−	0.248586i	$-0.920034\pi$
$563$		−	11.7967i		−	0.497172i	0.968610	−	0.248586i	$-0.0799659\pi$
$564$	0.00501612	+	0.0519287i	0.000211217	+	0.00218659i
$565$	−11.2094	−	20.2264i	−0.471585	−	0.850932i
$566$	−10.9032	−	14.7302i	−0.458296	−	0.619154i
$567$	17.9893	−	43.4301i	0.755481	−	1.82389i
$568$	18.1057	−	38.0040i	0.759698	−	1.59461i
$569$	1.96457	−	1.96457i	0.0823591	−	0.0823591i	−0.664727	−	0.747086i	$-0.731452\pi$
$569$	1.96457	−	1.96457i	0.0823591	−	0.0823591i	0.747086	+	0.664727i	$0.231452\pi$
$570$	−0.0145641	+	0.417867i	−0.000610023	+	0.0175025i
$571$	−4.06255	−	9.80786i	−0.170012	−	0.410446i	0.815792	−	0.578346i	$-0.196302\pi$
$571$	−4.06255	−	9.80786i	−0.170012	−	0.410446i	−0.985804	+	0.167900i	$0.946302\pi$
$572$	−41.3652	+	3.99572i	−1.72956	+	0.167070i
$573$	−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
$576$	−18.6299	+	15.1144i	−0.776245	+	0.629765i
$577$	−23.6219	−	23.6219i	−0.983392	−	0.983392i	0.0164720	−	0.999864i	$-0.494757\pi$
$577$	−23.6219	−	23.6219i	−0.983392	−	0.983392i	−0.999864	+	0.0164720i	$0.994757\pi$
$578$	−23.8556	+	2.98493i	−0.992263	+	0.124157i
$579$			0.411461i			0.0170997i
$580$	9.04176	−	13.9298i	0.375439	−	0.578403i
$581$	−2.03139	+	4.90421i	−0.0842762	+	0.203461i
$582$	0.133948	+	0.536888i	0.00555232	+	0.0222547i
$583$	−12.9356	+	5.35808i	−0.535736	+	0.221909i
$584$	9.25745	+	26.1043i	0.383076	+	1.08021i
$585$	28.1239	+	22.3746i	1.16278	+	0.925077i
$586$	−3.21389	−	12.8818i	−0.132765	−	0.532144i
$587$			13.4282i			0.554240i	0.960835	+	0.277120i	$0.0893799\pi$
$587$			13.4282i			0.554240i	−0.960835	+	0.277120i	$0.910620\pi$
$588$	0.138913	+	1.43808i	0.00572867	+	0.0593052i
$589$	−6.56145	+	2.71784i	−0.270360	+	0.111987i
$590$	−3.17794	−	1.44801i	−0.130834	−	0.0596137i
$591$	0.218238			0.00897710
$592$	−1.19576	+	5.89574i	−0.0491456	+	0.242313i
$593$			7.75557i			0.318483i	0.987240	+	0.159242i	$0.0509049\pi$
$593$			7.75557i			0.318483i	−0.987240	+	0.159242i	$0.949095\pi$
$594$	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
$598$	−3.85642	+	25.8308i	−0.157701	+	1.05630i
$599$		−	11.7777i		−	0.481224i	−0.970621	−	0.240612i	$-0.922652\pi$
$599$		−	11.7777i		−	0.481224i	0.970621	−	0.240612i	$-0.0773481\pi$
$600$	−0.269853	−	0.423316i	−0.0110167	−	0.0172818i
$601$	−34.4961	+	14.2888i	−1.40713	+	0.582850i	−0.951591	−	0.307368i	$-0.900552\pi$
$601$	−34.4961	+	14.2888i	−1.40713	+	0.582850i	−0.455535	+	0.890218i	$0.650552\pi$
$602$	30.4879	−	22.5670i	1.24259	−	0.919763i
$603$	−24.9910			−1.01771
$604$	14.1406	−	46.3022i	0.575373	−	1.88401i
$605$	1.01946	+	8.95443i	0.0414468	+	0.364049i
$606$	0.714640	+	0.106692i	0.0290302	+	0.00433408i
$607$	2.53779	+	6.12678i	0.103006	+	0.248678i	0.966977	−	0.254863i	$-0.0820303\pi$
$607$	2.53779	+	6.12678i	0.103006	+	0.248678i	−0.863971	+	0.503541i	$0.832030\pi$
$608$	7.19150	−	19.8054i	0.291654	−	0.803214i
$609$	−0.263813	+	0.636900i	−0.0106902	+	0.0258085i
$610$	18.3693	+	19.6960i	0.743751	+	0.797467i
$611$	−3.93849			−0.159334
$612$	−16.8396	+	18.1084i	−0.680702	+	0.731987i
$613$	−29.1967	−	29.1967i	−1.17924	−	1.17924i	−0.979937	−	0.199306i	$-0.936131\pi$
$613$	−29.1967	−	29.1967i	−1.17924	−	1.17924i	−0.199306	−	0.979937i	$-0.563869\pi$
$614$	−8.31805	+	2.07527i	−0.335689	+	0.0837510i
$615$	−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	−0.112291	−	0.993675i	$-0.535819\pi$
$617$	12.6915	−	5.25700i	0.510942	−	0.211639i	0.623233	+	0.782036i	$0.285819\pi$
$618$	0.339466	−	0.251272i	0.0136553	−	0.0101076i
$619$	−13.9224	+	5.76687i	−0.559590	+	0.231790i	−0.644507	−	0.764598i	$-0.722937\pi$
$619$	−13.9224	+	5.76687i	−0.559590	+	0.231790i	0.0849170	+	0.996388i	$0.472937\pi$
$620$	4.64258	−	7.15238i	0.186450	−	0.287247i
$621$	0.518822	−	0.518822i	0.0208196	−	0.0208196i
$622$	−11.6768	+	8.64312i	−0.468196	+	0.346557i
$623$	−62.8408	−	26.0295i	−2.51766	−	1.04285i
$624$	0.420421	+	0.634348i	0.0168303	+	0.0253942i
$625$	−22.4736	+	10.9516i	−0.898943	+	0.438066i
$626$	17.0453	−	12.6169i	0.681269	−	0.504273i
$627$	−0.512611			−0.0204717
$628$	−0.0346953	+	0.113607i	−0.00138449	+	0.00453340i
$629$	−0.371896	+	6.18976i	−0.0148284	+	0.246802i
$630$	−33.8247	−	36.2676i	−1.34761	−	1.44494i
$631$	26.2239	+	26.2239i	1.04396	+	1.04396i	0.998988	+	0.0449669i	$0.0143182\pi$
$631$	26.2239	+	26.2239i	1.04396	+	1.04396i	0.0449669	+	0.998988i	$0.485682\pi$
$632$	−7.76966	+	2.75538i	−0.309061	+	0.109603i
$633$	−0.403411	−	0.403411i	−0.0160342	−	0.0160342i
$634$	−20.3736	−	27.5246i	−0.809140	−	1.09314i
$635$	6.12843	−	7.70314i	0.243199	−	0.305690i
$636$	0.197892	+	0.163029i	0.00784694	+	0.00646451i
$637$	−109.070			−4.32150
$638$	17.4535	+	10.4835i	0.690989	+	0.415045i
$639$	−17.0797	−	41.2340i	−0.675662	−	1.63119i
$640$	6.35819	+	24.4862i	0.251329	+	0.967902i
$641$	−4.18843	+	10.1118i	−0.165433	+	0.399390i	−0.984756	−	0.173942i	$-0.944350\pi$
$641$	−4.18843	+	10.1118i	−0.165433	+	0.399390i	0.819323	+	0.573332i	$0.194350\pi$
$642$	−0.0270680	−	0.108493i	−0.00106829	−	0.00428189i
$643$	−45.3588	+	18.7882i	−1.78878	+	0.740936i	−0.798471	+	0.602033i	$0.794357\pi$
$643$	−45.3588	+	18.7882i	−1.78878	+	0.740936i	−0.990306	+	0.138902i	$0.955643\pi$
$644$	10.5266	−	34.4684i	0.414805	−	1.35824i
$645$	0.112242	−	0.391308i	0.00441951	−	0.0154077i
$646$	4.48955	−	21.2500i	0.176639	−	0.836070i
$647$	4.24686	−	4.24686i	0.166961	−	0.166961i	−0.618681	−	0.785642i	$-0.712333\pi$
$647$	4.24686	−	4.24686i	0.166961	−	0.166961i	0.785642	+	0.618681i	$0.212333\pi$
$648$	−1.31898	+	25.3895i	−0.0518145	+	0.997395i
$649$	1.63846	−	3.95558i	0.0643150	−	0.155270i
$650$	33.7680	−	17.2049i	1.32449	−	0.674833i
$651$	−0.135457	+	0.327023i	−0.00530899	+	0.0128170i
$652$	2.69990	+	27.9503i	0.105736	+	1.09462i
$653$	−2.50234	+	6.04118i	−0.0979241	+	0.236410i	−0.965249	−	0.261333i	$-0.915838\pi$
$653$	−2.50234	+	6.04118i	−0.0979241	+	0.236410i	0.867324	+	0.497743i	$0.165838\pi$
$654$	−0.667640	+	0.166569i	−0.0261068	+	0.00651338i
$655$	−15.7664	−	28.4490i	−0.616044	−	1.11159i
$656$	4.24846	+	0.861665i	0.165874	+	0.0336424i
$657$	27.1297	+	11.2375i	1.05843	+	0.438417i
$658$	5.37530	+	0.802507i	0.209551	+	0.0312850i
$659$	41.3713			1.61160			0.805798	−	0.592190i	$-0.201737\pi$
$659$	41.3713			1.61160			0.805798	+	0.592190i	$0.201737\pi$
$660$	0.507141	−	0.348712i	0.0197404	−	0.0135736i
$661$	−2.07225	−	2.07225i	−0.0806012	−	0.0806012i	0.665657	−	0.746258i	$-0.268151\pi$
$661$	−2.07225	−	2.07225i	−0.0806012	−	0.0806012i	−0.746258	+	0.665657i	$0.768151\pi$
$662$	26.1030	−	6.51243i	1.01452	−	0.253113i
$663$	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
$666$	3.79457	+	5.12644i	0.147037	+	0.198645i
$667$	9.04763	−	9.04763i	0.350326	−	0.350326i
$668$	−7.54154	−	6.21291i	−0.291791	−	0.240385i
$669$	0.428822	−	0.177624i	0.0165792	−	0.00686734i
$670$	−10.9272	+	23.9817i	−0.422153	+	0.926495i
$671$	−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	0.242879	−	0.970057i	$-0.421908\pi$
$673$	−7.03847	−	2.91543i	−0.271313	−	0.112382i	−0.514192	+	0.857675i	$0.671908\pi$
$674$	−9.27642	−	1.38493i	−0.357314	−	0.0533454i
$675$	−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	$-0.554794\pi$
$677$	10.5181	−	4.35675i	0.404244	−	0.167443i	0.575535	+	0.817777i	$0.304794\pi$
$678$	−0.445056	−	0.267324i	−0.0170923	−	0.0102665i
$679$	57.6449			2.21221
$680$	10.0140	+	24.0774i	0.384021	+	0.923324i
$681$	0.281512			0.0107876
$682$	8.96165	+	5.38285i	0.343159	+	0.206120i
$683$	36.8960	−	15.2828i	1.41179	−	0.584781i	0.459003	−	0.888435i	$-0.348207\pi$
$683$	36.8960	−	15.2828i	1.41179	−	0.584781i	0.952782	+	0.303654i	$0.0982067\pi$
$684$	−10.4937	−	19.7213i	−0.401237	−	0.754063i
$685$	−29.9993	+	3.41540i	−1.14621	+	0.130496i
$686$	97.6552	+	14.5795i	3.72849	+	0.556647i
$687$	−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
$690$	−0.135481	−	0.362285i	−0.00515766	−	0.0137920i
$691$	34.5643	−	14.3170i	1.31489	−	0.544645i	0.388581	−	0.921414i	$-0.372965\pi$
$691$	34.5643	−	14.3170i	1.31489	−	0.544645i	0.926307	+	0.376770i	$0.122965\pi$
$692$	15.7529	−	19.1216i	0.598835	−	0.726896i
$693$	42.9922	−	42.9922i	1.63314	−	1.63314i
$694$	−24.0591	−	32.5037i	−0.913271	−	1.23382i
$695$	−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
$698$	−21.9614	+	5.47915i	−0.831252	+	0.207389i
$699$	0.475504	+	0.475504i	0.0179852	+	0.0179852i
$700$	−49.5926	+	16.6009i	−1.87443	+	0.627454i
$701$	50.4617			1.90591			0.952956	−	0.303109i	$-0.0980247\pi$
$701$	50.4617			1.90591			0.952956	+	0.303109i	$0.0980247\pi$
$702$	1.59634	+	0.238325i	0.0602498	+	0.00899502i
$703$	−5.17547	−	2.14375i	−0.195196	−	0.0808530i
$704$	−29.7300	+	8.83597i	−1.12049	+	0.333018i
$705$	0.0510175	−	0.0282738i	0.00192143	−	0.00106485i
$706$	−7.26309	+	1.81207i	−0.273350	+	0.0681980i
$707$	28.8057	−	69.5432i	1.08335	−	2.61544i
$708$	−0.0780410	+	0.00753847i	−0.00293296	+	0.000283313i
$709$	12.3012	−	29.6977i	0.461980	−	1.11532i	−0.505603	−	0.862766i	$-0.668730\pi$
$709$	12.3012	−	29.6977i	0.461980	−	1.11532i	0.967583	−	0.252553i	$-0.0812701\pi$
$710$	−47.0368	−	1.63939i	−1.76526	−	0.0615253i
$711$	−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
$714$	−0.590675	−	0.907118i	−0.0221055	−	0.0339481i
$715$	22.5222	+	40.6393i	0.842283	+	1.51982i
$716$	17.0308	+	5.20116i	0.636469	+	0.194376i
$717$	−0.0900181	+	0.0372867i	−0.00336179	+	0.00139250i
$718$	−5.27227	−	21.1322i	−0.196759	−	0.788647i
$719$	−1.17672	+	2.84086i	−0.0438843	+	0.105946i	−0.944302	−	0.329081i	$-0.893261\pi$
$719$	−1.17672	+	2.84086i	−0.0438843	+	0.105946i	0.900417	+	0.435027i	$0.143261\pi$
$720$	23.7975	+	12.3723i	0.886880	+	0.461090i
$721$	−16.8373	−	40.6487i	−0.627052	−	1.51384i
$722$	−6.21429	−	3.73263i	−0.231272	−	0.138914i
$723$	0.636226			0.0236615
$724$	25.7949	−	31.3112i	0.958662	−	1.16367i
$725$	−18.3120	−	3.06758i	−0.680092	−	0.113927i
$726$	0.120376	+	0.162628i	0.00446759	+	0.00603567i
$727$	25.3538	+	25.3538i	0.940319	+	0.940319i	0.998317	−	0.0579975i	$-0.0184715\pi$
$727$	25.3538	+	25.3538i	0.940319	+	0.940319i	−0.0579975	+	0.998317i	$0.518472\pi$
$728$	74.7201	−	26.4982i	2.76931	−	0.982088i
$729$	19.0438	+	19.0438i	0.705325	+	0.705325i
$730$	22.6460	−	21.1206i	0.838166	−	0.781708i
$731$	−9.24930	+	19.0158i	−0.342098	+	0.703325i
$732$	0.578288	+	0.176608i	0.0213741	+	0.00652762i
$733$	29.3446			1.08387			0.541934	−	0.840421i	$-0.317692\pi$
$733$	29.3446			1.08387			0.541934	+	0.840421i	$0.317692\pi$
$734$	25.4768	−	18.8578i	0.940365	−	0.696055i
$735$	1.41284	−	0.782993i	0.0521134	−	0.0288811i
$736$	0.865037	+	19.4725i	0.0318857	+	0.717764i
$737$	−29.8501	−	12.3643i	−1.09954	−	0.455445i
$738$	3.69410	−	2.73436i	0.135982	−	0.100653i
$739$	−31.7089	+	31.7089i	−1.16643	+	1.16643i	−0.183389	+	0.983040i	$0.558707\pi$
$739$	−31.7089	+	31.7089i	−1.16643	+	1.16643i	−0.983040	+	0.183389i	$0.941293\pi$
$740$	6.57856	−	1.39983i	0.241833	−	0.0514586i
$741$	−0.654717	+	0.271193i	−0.0240516	+	0.00996251i
$742$	21.4689	−	15.8912i	0.788147	−	0.583384i
$743$	27.2977	−	11.3071i	1.00146	−	0.414817i	0.179125	−	0.983826i	$-0.442673\pi$
$743$	27.2977	−	11.3071i	1.00146	−	0.414817i	0.822331	+	0.569010i	$0.192673\pi$
$744$	0.00993176	−	0.191180i	0.000364116	−	0.00700899i
$745$	−17.9389	−	14.2717i	−0.657230	−	0.522875i
$746$	−22.1612	+	5.52900i	−0.811380	+	0.202431i
$747$	−2.15227	−	2.15227i	−0.0787475	−	0.0787475i
$748$	−29.0729	+	13.2978i	−1.06301	+	0.486216i
$749$	−11.6488			−0.425637
$750$	−0.313905	+	0.465280i	−0.0114622	+	0.0169896i
$751$	10.8333	−	26.1540i	0.395314	−	0.954372i	−0.593448	−	0.804872i	$-0.702234\pi$
$751$	10.8333	−	26.1540i	0.395314	−	0.954372i	0.988762	−	0.149500i	$-0.0477663\pi$
$752$	−2.88502	+	0.562615i	−0.105206	+	0.0205165i
$753$	0.243669	+	0.588268i	0.00887978	+	0.0214377i
$754$	27.8381	+	4.15610i	1.01381	+	0.151356i
$755$	−53.7803	+	6.12287i	−1.95727	+	0.222834i
$756$	−2.13013	−	0.650538i	−0.0774722	−	0.0236598i
$757$	25.4847			0.926259			0.463129	−	0.886291i	$-0.346726\pi$
$757$	25.4847			0.926259			0.463129	+	0.886291i	$0.346726\pi$
$758$	17.9526	−	13.2884i	0.652067	−	0.482658i
$759$	0.438101	−	0.181467i	0.0159021	−	0.00658685i
$760$	−23.5132	+	1.44690i	−0.852913	+	0.0524847i
$761$			31.1534i			1.12931i	0.825328	+	0.564654i	$0.190990\pi$
$761$			31.1534i			1.12931i	−0.825328	+	0.564654i	$0.809010\pi$
$762$	0.0326319	−	0.218573i	0.00118213	−	0.00791806i
$763$			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
$768$	0.398584	+	0.404615i	0.0143826	+	0.0146003i
$769$	12.3580			0.445641			0.222820	−	0.974859i	$-0.428474\pi$
$769$	12.3580			0.445641			0.222820	+	0.974859i	$0.428474\pi$
$770$	−22.4579	−	60.0540i	−0.809326	−	2.16420i
$771$	−0.203548	+	0.0843121i	−0.00733059	+	0.00303643i
$772$	−23.0750	+	2.22896i	−0.830488	+	0.0802221i
$773$		−	15.7696i		−	0.567193i	−0.958944	−	0.283596i	$-0.908472\pi$
$773$		−	15.7696i		−	0.567193i	0.958944	−	0.283596i	$-0.0915276\pi$
$774$	5.26498	+	21.1030i	0.189246	+	0.758531i
$775$	−9.40249	−	1.57508i	−0.337747	−	0.0565785i
$776$	−29.3834	+	10.4203i	−1.05480	+	0.374067i
$777$	−0.257945	+	0.106844i	−0.00925373	+	0.00383302i
$778$	−2.58022	−	10.3420i	−0.0925055	−	0.370779i
$779$	−1.54478	+	3.72943i	−0.0553475	+	0.133621i
$780$	0.463247	−	0.713681i	0.0165869	−	0.0255539i
$781$		−	57.7015i		−	2.06472i
$782$	3.68566	+	19.7506i	0.131799	+	0.706280i
$783$	−0.559141	−	0.559141i	−0.0199821	−	0.0199821i
$784$	−79.8957	+	15.5806i	−2.85342	+	0.556452i
$785$	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	−0.230483	−	0.973076i	$-0.574030\pi$
$787$	8.26486	−	3.42342i	0.294610	−	0.122032i	0.525093	+	0.851045i	$0.324030\pi$
$788$	1.18223	+	12.2389i	0.0421154	+	0.435993i
$789$	−0.368118	−	0.888715i	−0.0131053	−	0.0316391i
$790$	6.28631	+	6.74033i	0.223657	+	0.239810i
$791$	−38.2437	+	38.2437i	−1.35979	+	1.35979i
$792$	−14.1429	+	29.6860i	−0.502545	+	1.05485i
$793$	−17.4684	+	42.1725i	−0.620321	+	1.49759i
$794$	0.897428	+	1.21242i	0.0318485	+	0.0430271i
$795$	0.0790380	−	0.275550i	0.00280319	−	0.00977275i
$796$	−29.2415	+	2.82462i	−1.03644	+	0.100116i
$797$		−	6.71767i		−	0.237952i	−0.992897	−	0.118976i	$-0.962039\pi$
$797$		−	6.71767i		−	0.237952i	0.992897	−	0.118976i	$-0.0379611\pi$
$798$	0.948822	−	0.236721i	0.0335880	−	0.00837985i
$799$	−2.86370	+	0.989500i	−0.101310	+	0.0350060i
$800$	22.2780	−	17.4267i	0.787647	−	0.616127i
$801$	27.5785	−	27.5785i	0.974437	−	0.974437i
$802$	−19.6715	−	2.93686i	−0.694624	−	0.103704i
$803$	26.8449	+	26.8449i	0.947336	+	0.947336i
$804$	0.0568877	+	0.588922i	0.00200627	+	0.0207697i
$805$	−40.0352	+	4.55799i	−1.41106	+	0.160648i
$806$	14.2938	+	2.13399i	0.503476	+	0.0751667i
$807$	0.718644			0.0252975
$808$	−2.11204	+	40.6554i	−0.0743014	+	1.43025i
$809$	8.57280	−	3.55097i	0.301404	−	0.124845i	−0.226856	−	0.973928i	$-0.572845\pi$
$809$	8.57280	−	3.55097i	0.301404	−	0.124845i	0.528260	+	0.849083i	$0.322845\pi$
$810$	26.6239	−	9.95631i	0.935469	−	0.349829i
$811$	−19.1005	+	46.1128i	−0.670711	+	1.61924i	0.109695	+	0.993965i	$0.465013\pi$
$811$	−19.1005	+	46.1128i	−0.670711	+	1.61924i	−0.780406	+	0.625274i	$0.784987\pi$
$812$	−37.1469	−	11.3446i	−1.30360	−	0.398117i
$813$	−0.00863340	−	0.0208429i	−0.000302787	−	0.000730991i
$814$	1.99606	+	8.00055i	0.0699617	+	0.280419i
$815$	27.4598	−	15.2182i	0.961877	−	0.533070i
$816$	0.465063	+	0.355612i	0.0162805	+	0.0124489i
$817$	−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
$820$	−1.00871	−	4.74050i	−0.0352258	−	0.165545i
$821$	18.9882	+	7.86518i	0.662693	+	0.274497i	0.688571	−	0.725168i	$-0.258238\pi$
$821$	18.9882	+	7.86518i	0.662693	+	0.274497i	−0.0258780	+	0.999665i	$0.508238\pi$
$822$	−0.544837	+	0.403287i	−0.0190034	+	0.0140662i
$823$	2.54469	−	6.14343i	0.0887024	−	0.214147i	−0.873303	−	0.487178i	$-0.838026\pi$
$823$	2.54469	−	6.14343i	0.0887024	−	0.214147i	0.962005	+	0.273031i	$0.0880263\pi$
$824$	15.9304	+	17.6763i	0.554963	+	0.615783i
$825$	−0.583485	−	0.364740i	−0.0203143	−	0.0126986i
$826$	−1.20605	+	8.07826i	−0.0419637	+	0.281079i
$827$	−39.9962	−	16.5670i	−1.39080	−	0.576090i	−0.443456	−	0.896296i	$-0.646248\pi$
$827$	−39.9962	−	16.5670i	−1.39080	−	0.576090i	−0.947348	+	0.320207i	$0.896248\pi$
$828$	15.9499	+	13.1399i	0.554297	+	0.456644i
$829$		−	29.5524i		−	1.02640i	−0.858270	−	0.513198i	$-0.828461\pi$
$829$		−	29.5524i		−	1.02640i	0.858270	−	0.513198i	$-0.171539\pi$
$830$	−3.00642	+	1.12429i	−0.104354	+	0.0390245i
$831$	−0.270844	−	0.270844i	−0.00939547	−	0.00939547i
$832$	−33.2971	+	27.0139i	−1.15437	+	0.936538i
$833$	−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
$836$	−2.77691	−	28.7476i	−0.0960414	−	0.994255i
$837$	−0.287096	−	0.287096i	−0.00992350	−	0.00992350i
$838$	25.8038	+	3.85239i	0.891377	+	0.133078i
$839$	−15.3975	+	6.37787i	−0.531582	+	0.220188i	−0.632296	−	0.774727i	$-0.717887\pi$
$839$	−15.3975	+	6.37787i	−0.531582	+	0.220188i	0.100714	+	0.994915i	$0.467887\pi$
$840$	−0.777664	+	0.879648i	−0.0268320	+	0.0303507i
$841$	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
$844$	20.4382	−	24.8089i	0.703512	−	0.853958i
$845$	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
$850$	20.2304	−	20.9936i	0.693896	−	0.720075i
$851$	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	$-0.0468470\pi$
$853$	5.43335	+	13.1173i	0.186034	+	0.449126i	−0.803155	+	0.595770i	$0.796847\pi$
$854$	32.4341	−	53.9980i	1.10987	−	1.84778i
$855$	−15.5497	+	19.5452i	−0.531788	+	0.668433i
$856$	5.93775	−	2.10572i	0.202948	−	0.0719720i
$857$	−10.7028	+	25.8389i	−0.365601	+	0.882639i	0.628859	+	0.777520i	$0.283522\pi$
$857$	−10.7028	+	25.8389i	−0.365601	+	0.882639i	−0.994460	+	0.105119i	$0.966478\pi$
$858$	0.894215	+	0.537113i	0.0305280	+	0.0183367i
$859$	10.8606	−	10.8606i	0.370558	−	0.370558i	−0.497123	−	0.867680i	$-0.665610\pi$
$859$	10.8606	−	10.8606i	0.370558	−	0.370558i	0.867680	+	0.497123i	$0.165610\pi$
$860$	22.5528	+	4.17480i	0.769045	+	0.142359i
$861$	0.0769919	+	0.185875i	0.00262388	+	0.00633460i
$862$	−38.2109	−	5.70470i	−1.30147	−	0.194303i
$863$	−5.63029	+	5.63029i	−0.191657	+	0.191657i	−0.796412	−	0.604755i	$-0.793271\pi$
$863$	−5.63029	+	5.63029i	−0.191657	+	0.191657i	0.604755	+	0.796412i	$0.293271\pi$
$864$	1.20339	−	0.0534590i	0.0409402	−	0.00181871i
$865$	−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
$868$	−19.0735	−	5.82499i	−0.647395	−	0.197713i
$869$	−7.99008	+	7.99008i	−0.271045	+	0.271045i
$870$	−0.390439	+	0.146009i	−0.0132371	+	0.00495017i
$871$	−44.6663			−1.51346
$872$	−12.9581	−	36.5394i	−0.438815	−	1.23738i
$873$	−12.6491	+	30.5376i	−0.428107	+	1.03354i
$874$	−17.9516	−	2.68010i	−0.607223	−	0.0906556i
$875$	39.1132	+	43.4619i	1.32227	+	1.46928i
$876$	0.203060	−	0.664903i	0.00686076	−	0.0224650i
$877$	0.627655	+	0.259983i	0.0211944	+	0.00877901i	0.393255	−	0.919429i	$-0.371349\pi$
$877$	0.627655	+	0.259983i	0.0211944	+	0.00877901i	−0.372061	+	0.928208i	$0.621349\pi$
$878$	−20.3074	+	15.0314i	−0.685340	+	0.507286i
$879$	−0.127531	+	0.307887i	−0.00430151	+	0.0103848i
$880$	22.3033	+	26.5518i	0.751844	+	0.895060i
$881$	29.4959	+	12.2176i	0.993741	+	0.411621i	0.819498	−	0.573082i	$-0.194252\pi$
$881$	29.4959	+	12.2176i	0.993741	+	0.411621i	0.174243	+	0.984703i	$0.444252\pi$
$882$	−44.4377	+	73.9822i	−1.49629	+	2.49111i
$883$	1.43819	−	1.43819i	0.0483991	−	0.0483991i	−0.682493	−	0.730892i	$-0.739104\pi$
$883$	1.43819	−	1.43819i	0.0483991	−	0.0483991i	0.730892	+	0.682493i	$0.239104\pi$
$884$	−30.0975	+	32.3651i	−1.01229	+	1.08855i
$885$	0.0424912	+	0.0766715i	0.00142833	+	0.00257729i
$886$	5.96923	+	23.9258i	0.200540	+	0.803802i
$887$	−14.9485	+	6.19185i	−0.501920	+	0.207902i	−0.619254	−	0.785190i	$-0.712565\pi$
$887$	−14.9485	+	6.19185i	−0.501920	+	0.207902i	0.117334	+	0.993092i	$0.462565\pi$
$888$	0.112169	−	0.101090i	0.00376414	−	0.00339236i
$889$	−21.2698	−	8.81024i	−0.713366	−	0.295486i
$890$	−14.4062	−	38.5232i	−0.482897	−	1.29130i
$891$	13.3358	+	32.1955i	0.446767	+	1.07859i
$892$	12.2843	+	23.0864i	0.411308	+	0.772991i
$893$		−	2.73714i		−	0.0915947i
$894$	−0.509006	−	0.0759923i	−0.0170237	−	0.00254156i
$895$	−2.25210	−	19.7813i	−0.0752793	−	0.661217i
$896$	50.9486	−	30.0842i	1.70207	−	1.00504i
$897$	0.463548	−	0.463548i	0.0154774	−	0.0154774i
$898$	−2.19052	+	14.6724i	−0.0730987	+	0.489625i
$899$	−5.00661	−	5.00661i	−0.166980	−	0.166980i
$900$	2.08779	−	29.9146i	0.0695930	−	0.997154i
$901$	−6.51315	+	13.3905i	−0.216984	+	0.446102i
$902$	5.76518	−	1.43835i	0.191960	−	0.0478920i
$903$	−0.952100			−0.0316839
$904$	12.5808	−	26.4072i	0.418431	−	0.878290i
$905$	−43.5984	−	12.5057i	−1.44926	−	0.415702i
$906$	−0.976742	+	0.722981i	−0.0324501	+	0.0240194i
$907$	10.1100	+	4.18770i	0.335697	+	0.139050i	0.544163	−	0.838979i	$-0.316847\pi$
$907$	10.1100	+	4.18770i	0.335697	+	0.139050i	−0.208466	+	0.978030i	$0.566847\pi$
$908$	1.52501	+	15.7874i	0.0506091	+	0.523923i
$909$	30.5199	+	30.5199i	1.01228	+	1.01228i
$910$	−60.4548	−	64.8211i	−2.00406	−	2.14880i
$911$	−34.2135	+	14.1717i	−1.13354	+	0.469529i	−0.868984	−	0.494840i	$-0.835227\pi$
$911$	−34.2135	+	14.1717i	−1.13354	+	0.469529i	−0.264560	+	0.964369i	$0.585227\pi$
$912$	−0.440853	+	0.292180i	−0.0145981	+	0.00967506i
$913$	−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
$916$	8.09379	−	26.5025i	0.267427	−	0.875666i
$917$	−53.7907	+	53.7907i	−1.77633	+	1.77633i
$918$	1.22058	−	0.227773i	0.0402852	−	0.00751762i
$919$	32.5256			1.07292			0.536460	−	0.843926i	$-0.319761\pi$
$919$	32.5256			1.07292			0.536460	+	0.843926i	$0.319761\pi$
$920$	19.5833	−	9.56041i	0.645641	−	0.315197i
$921$	0.198808	+	0.0823491i	0.00655095	+	0.00271349i
$922$	46.3556	−	11.5652i	1.52664	−	0.380881i
$923$	−30.5265	−	73.6976i	−1.00479	−	2.42578i
$924$	−1.11099	−	0.915262i	−0.0365489	−	0.0301099i
$925$	−4.36569	−	6.12267i	−0.143543	−	0.201312i
$926$	7.04382	+	28.2329i	0.231474	+	0.927791i
$927$	25.2284			0.828610
$928$	20.9857	−	0.932260i	0.688888	−	0.0306029i
$929$	−17.3258	−	41.8282i	−0.568441	−	1.37234i	−0.902869	−	0.429916i	$-0.858543\pi$
$929$	−17.3258	−	41.8282i	−0.568441	−	1.37234i	0.334428	−	0.942421i	$-0.391457\pi$
$930$	−0.200474	+	0.0749697i	−0.00657382	+	0.00245835i
$931$		−	75.8002i		−	2.48425i
$932$	−24.0907	+	29.2425i	−0.789117	+	0.957869i
$933$	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	$0.638018\pi$
$938$	60.9611	+	9.10121i	1.99045	+	0.297165i
$939$	−0.532306			−0.0173711
$940$	1.86198	+	2.70793i	0.0607312	+	0.0883229i
$941$	−22.6193	−	54.6079i	−0.737370	−	1.78017i	−0.616281	−	0.787526i	$-0.711361\pi$
$941$	−22.6193	−	54.6079i	−0.737370	−	1.78017i	−0.121089	−	0.992642i	$-0.538639\pi$
$942$	0.00239653	−	0.00177390i	7.80830e−5	−	5.77968e-5i
$943$		−	3.73421i		−	0.121603i
$944$	−0.845525	−	4.33575i	−0.0275195	−	0.141117i
$945$	0.281683	+	2.47416i	0.00916314	+	0.0804846i
$946$	−4.15205	+	27.8110i	−0.134995	+	0.904212i
$947$	−3.00773	+	1.24584i	−0.0977381	+	0.0404845i	−0.431017	−	0.902344i	$-0.641845\pi$
$947$	−3.00773	+	1.24584i	−0.0977381	+	0.0404845i	0.333279	+	0.942828i	$0.391845\pi$
$948$	0.197901	+	0.0604385i	0.00642752	+	0.00196295i
$949$	48.4890	+	20.0848i	1.57402	+	0.651980i
$950$	11.9569	+	23.4678i	0.387933	+	0.761395i
$951$			0.859560i			0.0278731i
$952$	47.6720	−	38.0395i	1.54506	−	1.23287i
$953$	−9.06064	+	9.06064i	−0.293503	+	0.293503i	−0.838462	−	0.544960i	$-0.816545\pi$
$953$	−9.06064	+	9.06064i	−0.293503	+	0.293503i	0.544960	+	0.838462i	$0.316545\pi$
$954$	3.70747	+	14.8602i	0.120034	+	0.481118i
$955$	−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
$958$	−32.2534	+	23.8738i	−1.04206	+	0.771329i
$959$	27.0235	+	65.2406i	0.872635	+	2.10673i
$960$	0.237388	−	0.588960i	0.00766166	−	0.0190086i
$961$	19.3496	+	19.3496i	0.624181	+	0.624181i
$962$	6.78203	+	9.16247i	0.218662	+	0.295410i
$963$	2.55611	−	6.17099i	0.0823694	−	0.198857i
$964$	3.44655	+	35.6800i	0.111006	+	1.14917i
$965$	12.5637	+	22.6701i	0.404440	+	0.729776i
$966$	−0.727108	+	0.538203i	−0.0233943	+	0.0173164i
$967$			15.3723i			0.494339i	0.968972	+	0.247169i	$0.0795004\pi$
$967$			15.3723i			0.494339i	−0.968972	+	0.247169i	$0.920500\pi$
$968$	−8.46816	+	7.63177i	−0.272177	+	0.245294i
$969$	−0.407914	+	0.361675i	−0.0131041	+	0.0116187i
$970$	23.7736	+	25.4907i	0.763325	+	0.818456i
$971$	−4.97061	+	4.97061i	−0.159515	+	0.159515i	−0.782352	−	0.622837i	$-0.785980\pi$
$971$	−4.97061	+	4.97061i	−0.159515	+	0.159515i	0.622837	+	0.782352i	$0.285980\pi$
$972$	1.21815	−	1.47865i	0.0390722	−	0.0474277i
$973$	−29.8676	+	29.8676i	−0.957512	+	0.957512i
$974$	7.81173	+	10.5536i	0.250304	+	0.338159i
$975$	−0.938202	−	0.157165i	−0.0300465	−	0.00503331i
$976$	−6.77159	+	33.3875i	−0.216753	+	1.06871i
$977$		−	58.1732i		−	1.86112i	−0.366134	−	0.930562i	$-0.619319\pi$
$977$		−	58.1732i		−	1.86112i	0.366134	−	0.930562i	$-0.380681\pi$
$978$	0.362926	−	0.604218i	0.0116051	−	0.0193208i
$979$	46.5851	−	19.2962i	1.48887	−	0.616709i
$980$	51.5644	+	74.9914i	1.64716	+	2.39551i
$981$	−37.9747	−	15.7296i	−1.21244	−	0.502208i
$982$	−11.1493	−	44.6882i	−0.355787	−	1.42606i
$983$	−8.12327	−	19.6113i	−0.259092	−	0.625504i	0.739787	−	0.672841i	$-0.234926\pi$
$983$	−8.12327	−	19.6113i	−0.259092	−	0.625504i	−0.998879	+	0.0473375i	$0.984926\pi$
$984$	−0.0728452	−	0.0808286i	−0.00232222	−	0.00257672i
$985$	12.0241	−	6.66376i	0.383121	−	0.212325i
$986$	21.2854	−	3.97208i	0.677866	−	0.126497i
$987$	−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
$990$	36.7418	+	1.28058i	1.16773	+	0.0406994i
$991$	14.2178	+	5.88922i	0.451645	+	0.187077i	0.596898	−	0.802317i	$-0.296400\pi$
$991$	14.2178	+	5.88922i	0.451645	+	0.187077i	−0.145253	+	0.989394i	$0.546400\pi$
$992$	10.7753	−	0.478678i	0.342116	−	0.0151980i
$993$	−0.623883	−	0.258421i	−0.0197983	−	0.00820074i
$994$	26.6463	+	106.803i	0.845170	+	3.38759i
$995$	15.9212	+	28.7284i	0.504736	+	0.910750i
$996$	−0.0458198	+	0.0556184i	−0.00145186	+	0.00176234i
$997$	6.85806	−	16.5568i	0.217197	−	0.524360i	−0.777299	−	0.629131i	$-0.783411\pi$
$997$	6.85806	−	16.5568i	0.217197	−	0.524360i	0.994496	+	0.104771i	$0.0334110\pi$
$998$	13.7103	+	2.04689i	0.433993	+	0.0647932i
$999$		−	0.320252i		−	0.0101323i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	680.2.bz.a.587.69	yes	416
5.3	odd	4		680.2.bw.a.43.17	✓	416
8.3	odd	2	inner	680.2.bz.a.587.70	yes	416
17.2	even	8		680.2.bw.a.427.88	yes	416
40.3	even	4		680.2.bw.a.43.88	yes	416
85.53	odd	8	inner	680.2.bz.a.563.69	yes	416
136.19	odd	8		680.2.bw.a.427.17	yes	416
680.563	even	8	inner	680.2.bz.a.563.70	yes	416

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
680.2.bw.a.43.17	✓	416	5.3	odd	4
680.2.bw.a.43.88	yes	416	40.3	even	4
680.2.bw.a.427.17	yes	416	136.19	odd	8
680.2.bw.a.427.88	yes	416	17.2	even	8
680.2.bz.a.563.69	yes	416	85.53	odd	8	inner
680.2.bz.a.563.70	yes	416	680.563	even	8	inner
680.2.bz.a.587.69	yes	416	1.1	even	1	trivial
680.2.bz.a.587.70	yes	416	8.3	odd	2	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)

\(f(q)\)	\(=\)	\(q+(0.728189 - 1.21233i) q^{2} +(-0.0327956 + 0.0135844i) q^{3} +(-0.939481 - 1.76561i) q^{4} +(-1.39213 + 1.74985i) q^{5} +(-0.00741267 + 0.0496510i) q^{6} +(4.83165 + 2.00134i) q^{7} +(-2.82462 - 0.146738i) q^{8} +(-2.12043 + 2.12043i) q^{9} +O(q^{10})\)	\(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} +(-0.00741267 + 0.0496510i) q^{6} +(4.83165 + 2.00134i) q^{7} +(-2.82462 - 0.146738i) q^{8} +(-2.12043 + 2.12043i) q^{9} +(1.10765 + 2.96194i) q^{10} +(-3.58180 + 1.48363i) q^{11} +(0.0547955 + 0.0451419i) q^{12} +(-3.78984 + 3.78984i) q^{13} +(5.94463 - 4.40020i) q^{14} +(0.0218853 - 0.0762985i) q^{15} +(-2.23475 + 3.31751i) q^{16} +(-1.80346 + 3.70777i) q^{17} +(1.02658 + 4.11473i) q^{18} +(-2.63383 - 2.63383i) q^{19} +(4.39743 + 0.814017i) q^{20} -0.185644 q^{21} +(-0.809580 + 5.42267i) q^{22} +(3.18338 + 1.31860i) q^{23} +(0.0946283 - 0.0335583i) q^{24} +(-1.12393 - 4.87204i) q^{25} +(1.83481 + 7.35425i) q^{26} +(0.0814891 - 0.196732i) q^{27} +(-1.00567 - 10.4110i) q^{28} +(1.42107 - 3.43077i) q^{29} +(-0.0765622 - 0.0820919i) q^{30} +(0.729663 - 1.76156i) q^{31} +(2.39459 + 5.12503i) q^{32} +(0.0973129 - 0.0973129i) q^{33} +(3.18177 + 4.88634i) q^{34} +(-10.2283 + 5.66852i) q^{35} +(5.73595 + 1.75175i) q^{36} +(1.38946 - 0.575535i) q^{37} +(-5.11099 + 1.27514i) q^{38} +(0.0728074 - 0.175773i) q^{39} +(4.18902 - 4.73837i) q^{40} +(-0.414729 - 1.00125i) q^{41} +(-0.135184 + 0.225061i) q^{42} +5.12864 q^{43} +(5.98454 + 4.93021i) q^{44} +(-0.758505 - 6.66235i) q^{45} +(3.91668 - 2.89912i) q^{46} +(0.519612 + 0.519612i) q^{47} +(0.0282237 - 0.139157i) q^{48} +(14.3898 + 14.3898i) q^{49} +(-6.72495 - 2.18520i) q^{50} +(0.00877787 - 0.146097i) q^{51} +(10.2519 + 3.13090i) q^{52} +3.61147 q^{53} +(-0.179164 - 0.242050i) q^{54} +(2.39022 - 8.33300i) q^{55} +(-13.3539 - 6.36200i) q^{56} +(0.122157 + 0.0505990i) q^{57} +(-3.12441 - 4.22105i) q^{58} +(-0.780898 + 0.780898i) q^{59} +(-0.155274 + 0.0330402i) q^{60} +(7.86852 - 3.25925i) q^{61} +(-1.60426 - 2.16734i) q^{62} +(-14.4889 + 6.00148i) q^{63} +(7.95694 + 0.828960i) q^{64} +(-1.35568 - 11.9076i) q^{65} +(-0.0471130 - 0.188837i) q^{66} +(5.89290 + 5.89290i) q^{67} +(8.24078 - 0.299168i) q^{68} -0.122313 q^{69} +(-0.576052 + 16.5279i) q^{70} +(-5.69563 + 13.7505i) q^{71} +(6.30055 - 5.67825i) q^{72} +(-3.74741 - 9.04705i) q^{73} +(0.314056 - 2.10359i) q^{74} +(0.103043 + 0.144514i) q^{75} +(-2.17588 + 7.12474i) q^{76} -20.2752 q^{77} +(-0.160077 - 0.216262i) q^{78} +(2.69275 - 1.11537i) q^{79} +(-2.69406 - 8.52889i) q^{80} -8.98866i q^{81} +(-1.51584 - 0.226308i) 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} +(10.3349 - 3.66510i) q^{88} -13.0061 q^{89} +(-8.62929 - 3.93189i) q^{90} +(-25.8959 + 10.7264i) q^{91} +(-0.662594 - 6.85941i) q^{92} +0.0676834i q^{93} +(1.00832 - 0.251565i) q^{94} +(8.27543 - 0.942154i) q^{95} +(-0.148152 - 0.135549i) q^{96} +(10.1835 - 4.21813i) q^{97} +(27.9236 - 6.96664i) 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

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