LMFDB - Embedded newform 429.2.bj.a.112.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [429,2,Mod(73,429)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(429, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 14, 5]))

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

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

chi := DirichletCharacter("429.73");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 429 = 3 \cdot 11 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	429.bj (of order $20$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.42558224671$
Analytic rank:	$0$
Dimension:	$112$
Relative dimension:	$14$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			112.4
Character	$\chi$	$=$	429.112
Dual form			429.2.bj.a.226.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.661175 - 1.29763i) q^{2} +(-0.809017 + 0.587785i) q^{3} +(-0.0711199 + 0.0978882i) q^{4} +(-1.28004 + 2.51223i) q^{5} +(1.29763 + 0.661175i) q^{6} +(-0.219997 - 1.38901i) q^{7} +(-2.70282 - 0.428085i) q^{8} +(0.309017 - 0.951057i) q^{9} +O(q^{10})$	\(q+(-0.661175 - 1.29763i) q^{2} +(-0.809017 + 0.587785i) q^{3} +(-0.0711199 + 0.0978882i) q^{4} +(-1.28004 + 2.51223i) q^{5} +(1.29763 + 0.661175i) q^{6} +(-0.219997 - 1.38901i) q^{7} +(-2.70282 - 0.428085i) q^{8} +(0.309017 - 0.951057i) q^{9} +4.10627 q^{10} +(-0.489367 - 3.28032i) q^{11} -0.120996i q^{12} +(2.20725 + 2.85097i) q^{13} +(-1.65696 + 1.20385i) q^{14} +(-0.441073 - 2.78482i) q^{15} +(1.30632 + 4.02045i) q^{16} +(2.23351 + 6.87403i) q^{17} +(-1.43843 + 0.227826i) q^{18} +(-0.782368 + 4.93968i) q^{19} +(-0.154881 - 0.303970i) q^{20} +(0.994418 + 0.994418i) q^{21} +(-3.93309 + 2.80389i) q^{22} +3.97874i q^{23} +(2.43825 - 1.24235i) q^{24} +(-1.73384 - 2.38643i) q^{25} +(2.24013 - 4.74919i) q^{26} +(0.309017 + 0.951057i) q^{27} +(0.151613 + 0.0772509i) q^{28} +(-4.73073 + 6.51129i) q^{29} +(-3.32204 + 2.41361i) q^{30} +(0.498808 - 0.254155i) q^{31} +(0.483335 - 0.483335i) q^{32} +(2.32403 + 2.36619i) q^{33} +(7.44321 - 7.44321i) q^{34} +(3.77110 + 1.22530i) q^{35} +(0.0711199 + 0.0978882i) q^{36} +(9.28134 - 1.47002i) q^{37} +(6.92715 - 2.25077i) q^{38} +(-3.46146 - 1.00910i) q^{39} +(4.53517 - 6.24213i) q^{40} +(0.319791 - 2.01908i) q^{41} +(0.632902 - 1.94787i) q^{42} -10.3965 q^{43} +(0.355909 + 0.185393i) q^{44} +(1.99371 + 1.99371i) q^{45} +(5.16294 - 2.63065i) q^{46} +(0.282586 - 1.78418i) q^{47} +(-3.42000 - 2.48478i) q^{48} +(4.77646 - 1.55197i) q^{49} +(-1.95033 + 3.82773i) q^{50} +(-5.84740 - 4.24839i) q^{51} +(-0.436056 + 0.0133029i) q^{52} +(-1.77984 + 5.47779i) q^{53} +(1.02980 - 1.02980i) q^{54} +(8.86732 + 2.96955i) q^{55} +3.84841i q^{56} +(-2.27052 - 4.45615i) q^{57} +(11.5771 + 1.83363i) q^{58} +(-8.32120 + 1.31795i) q^{59} +(0.303970 + 0.154881i) q^{60} +(-1.51434 + 0.492038i) q^{61} +(-0.659599 - 0.479227i) q^{62} +(-1.38901 - 0.219997i) q^{63} +(7.09414 + 2.30503i) q^{64} +(-9.98766 + 1.89575i) q^{65} +(1.53385 - 4.58020i) q^{66} +(-4.59554 - 4.59554i) q^{67} +(-0.831734 - 0.270247i) q^{68} +(-2.33865 - 3.21887i) q^{69} +(-0.903367 - 5.70363i) q^{70} +(5.71298 - 11.2124i) q^{71} +(-1.24235 + 2.43825i) q^{72} +(0.752869 + 4.75342i) q^{73} +(-8.04413 - 11.0718i) q^{74} +(2.80541 + 0.911534i) q^{75} +(-0.427894 - 0.427894i) q^{76} +(-4.44873 + 1.40139i) q^{77} +(0.979202 + 5.15889i) q^{78} +(-7.52994 - 2.44663i) q^{79} +(-11.7724 - 1.86457i) q^{80} +(-0.809017 - 0.587785i) q^{81} +(-2.83146 + 0.919996i) q^{82} +(12.1354 + 6.18332i) q^{83} +(-0.168065 + 0.0266188i) q^{84} +(-20.1281 - 3.18798i) q^{85} +(6.87391 + 13.4908i) q^{86} -8.04839i q^{87} +(-0.0815847 + 9.07562i) q^{88} +(-3.70227 + 3.70227i) q^{89} +(1.26891 - 3.90530i) q^{90} +(3.47443 - 3.69309i) q^{91} +(-0.389472 - 0.282968i) q^{92} +(-0.254155 + 0.498808i) q^{93} +(-2.50204 + 0.812962i) q^{94} +(-11.4081 - 8.28848i) q^{95} +(-0.106929 + 0.675123i) q^{96} +(-5.37269 + 2.73752i) q^{97} +(-5.17195 - 5.17195i) q^{98} +(-3.27100 - 0.548260i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 112 q - 28 q^{3} - 6 q^{5} - 28 q^{9}+O(q^{10}) $ 112 * q - 28 * q^3 - 6 * q^5 - 28 * q^9	$ 112 q - 28 q^{3} - 6 q^{5} - 28 q^{9} - 10 q^{11} + 10 q^{13} - 60 q^{14} + 4 q^{15} + 80 q^{16} - 74 q^{20} + 8 q^{22} + 30 q^{24} + 38 q^{26} - 28 q^{27} - 20 q^{29} - 8 q^{31} + 20 q^{33} - 48 q^{34} + 20 q^{35} + 12 q^{37} - 10 q^{39} + 40 q^{40} - 110 q^{41} + 20 q^{42} - 36 q^{44} + 4 q^{45} - 20 q^{46} - 30 q^{47} - 20 q^{48} + 90 q^{50} - 10 q^{52} + 52 q^{53} - 64 q^{55} + 30 q^{57} + 24 q^{58} - 36 q^{59} - 74 q^{60} - 60 q^{61} + 48 q^{66} + 60 q^{67} + 60 q^{68} + 116 q^{70} + 20 q^{71} - 30 q^{72} + 70 q^{73} + 120 q^{74} - 52 q^{78} - 120 q^{79} + 8 q^{80} - 28 q^{81} + 30 q^{83} + 30 q^{84} - 40 q^{85} + 62 q^{86} + 48 q^{89} - 4 q^{91} - 144 q^{92} - 8 q^{93} - 20 q^{94} + 82 q^{97} - 10 q^{99}+O(q^{100}) $ 112 * q - 28 * q^3 - 6 * q^5 - 28 * q^9 - 10 * q^11 + 10 * q^13 - 60 * q^14 + 4 * q^15 + 80 * q^16 - 74 * q^20 + 8 * q^22 + 30 * q^24 + 38 * q^26 - 28 * q^27 - 20 * q^29 - 8 * q^31 + 20 * q^33 - 48 * q^34 + 20 * q^35 + 12 * q^37 - 10 * q^39 + 40 * q^40 - 110 * q^41 + 20 * q^42 - 36 * q^44 + 4 * q^45 - 20 * q^46 - 30 * q^47 - 20 * q^48 + 90 * q^50 - 10 * q^52 + 52 * q^53 - 64 * q^55 + 30 * q^57 + 24 * q^58 - 36 * q^59 - 74 * q^60 - 60 * q^61 + 48 * q^66 + 60 * q^67 + 60 * q^68 + 116 * q^70 + 20 * q^71 - 30 * q^72 + 70 * q^73 + 120 * q^74 - 52 * q^78 - 120 * q^79 + 8 * q^80 - 28 * q^81 + 30 * q^83 + 30 * q^84 - 40 * q^85 + 62 * q^86 + 48 * q^89 - 4 * q^91 - 144 * q^92 - 8 * q^93 - 20 * q^94 + 82 * q^97 - 10 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/429\mathbb{Z}\right)^\times$.

$n$	$67$	$79$	$287$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{1}{10}\right)$	$1$

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 $

$2$	−0.661175	−	1.29763i	−0.467522	−	0.917563i	−0.997575	−	0.0695987i	$-0.977828\pi$
$2$	−0.661175	−	1.29763i	−0.467522	−	0.917563i	0.530053	−	0.847964i	$-0.322172\pi$
$3$	−0.809017	+	0.587785i	−0.467086	+	0.339358i
$3$	−0.809017	+	0.587785i	−0.467086	+	0.339358i
$4$	−0.0711199	+	0.0978882i	−0.0355600	+	0.0489441i
$5$	−1.28004	+	2.51223i	−0.572453	+	1.12350i	0.405387	+	0.914145i	$0.367137\pi$
$5$	−1.28004	+	2.51223i	−0.572453	+	1.12350i	−0.977839	+	0.209356i	$0.932863\pi$
$6$	1.29763	+	0.661175i	0.529755	+	0.269924i
$7$	−0.219997	−	1.38901i	−0.0831510	−	0.524995i	−0.993743	−	0.111689i	$-0.964374\pi$
$7$	−0.219997	−	1.38901i	−0.0831510	−	0.524995i	0.910592	−	0.413306i	$-0.135626\pi$
$8$	−2.70282	−	0.428085i	−0.955592	−	0.151351i
$9$	0.309017	−	0.951057i	0.103006	−	0.317019i
$10$	4.10627			1.29852
$11$	−0.489367	−	3.28032i	−0.147550	−	0.989055i
$11$	−0.489367	−	3.28032i	−0.147550	−	0.989055i
$12$		−	0.120996i		−	0.0349287i
$13$	2.20725	+	2.85097i	0.612181	+	0.790717i
$13$	2.20725	+	2.85097i	0.612181	+	0.790717i
$14$	−1.65696	+	1.20385i	−0.442841	+	0.321743i
$15$	−0.441073	−	2.78482i	−0.113884	−	0.719038i
$16$	1.30632	+	4.02045i	0.326581	+	1.00511i
$17$	2.23351	+	6.87403i	0.541705	+	1.66720i	0.728697	+	0.684836i	$0.240126\pi$
$17$	2.23351	+	6.87403i	0.541705	+	1.66720i	−0.186991	+	0.982362i	$0.559874\pi$
$18$	−1.43843	+	0.227826i	−0.339042	+	0.0536990i
$19$	−0.782368	+	4.93968i	−0.179488	+	1.13324i	0.719250	+	0.694752i	$0.244486\pi$
$19$	−0.782368	+	4.93968i	−0.179488	+	1.13324i	−0.898737	+	0.438488i	$0.855514\pi$
$20$	−0.154881	−	0.303970i	−0.0346324	−	0.0679699i
$21$	0.994418	+	0.994418i	0.217000	+	0.217000i
$22$	−3.93309	+	2.80389i	−0.838537	+	0.597791i
$23$			3.97874i			0.829626i	0.909907	+	0.414813i	$0.136153\pi$
$23$			3.97874i			0.829626i	−0.909907	+	0.414813i	$0.863847\pi$
$24$	2.43825	−	1.24235i	0.497706	−	0.253594i
$25$	−1.73384	−	2.38643i	−0.346768	−	0.477286i
$26$	2.24013	−	4.74919i	0.439325	−	0.931392i
$27$	0.309017	+	0.951057i	0.0594703	+	0.183031i
$28$	0.151613	+	0.0772509i	0.0286522	+	0.0145990i
$29$	−4.73073	+	6.51129i	−0.878474	+	1.20912i	0.0983676	+	0.995150i	$0.468638\pi$
$29$	−4.73073	+	6.51129i	−0.878474	+	1.20912i	−0.976841	+	0.213965i	$0.931362\pi$
$30$	−3.32204	+	2.41361i	−0.606519	+	0.440662i
$31$	0.498808	−	0.254155i	0.0895885	−	0.0456476i	−0.408622	−	0.912704i	$-0.633991\pi$
$31$	0.498808	−	0.254155i	0.0895885	−	0.0456476i	0.498211	+	0.867056i	$0.333991\pi$
$32$	0.483335	−	0.483335i	0.0854423	−	0.0854423i
$33$	2.32403	+	2.36619i	0.404562	+	0.411902i
$34$	7.44321	−	7.44321i	1.27650	−	1.27650i
$35$	3.77110	+	1.22530i	0.637432	+	0.207114i
$36$	0.0711199	+	0.0978882i	0.0118533	+	0.0163147i
$37$	9.28134	−	1.47002i	1.52584	−	0.241670i	0.663570	−	0.748114i	$-0.269041\pi$
$37$	9.28134	−	1.47002i	1.52584	−	0.241670i	0.862273	+	0.506445i	$0.169041\pi$
$38$	6.92715	−	2.25077i	1.12373	−	0.365123i
$39$	−3.46146	−	1.00910i	−0.554278	−	0.161585i
$40$	4.53517	−	6.24213i	0.717074	−	0.986968i
$41$	0.319791	−	2.01908i	0.0499430	−	0.315327i	−0.950052	−	0.312092i	$-0.898970\pi$
$41$	0.319791	−	2.01908i	0.0499430	−	0.315327i	0.999995	−	0.00323518i	$-0.00102979\pi$
$42$	0.632902	−	1.94787i	0.0976589	−	0.300563i
$43$	−10.3965			−1.58545			−0.792725	−	0.609579i	$-0.791339\pi$
$43$	−10.3965			−1.58545			−0.792725	+	0.609579i	$0.791339\pi$
$44$	0.355909	+	0.185393i	0.0536553	+	0.0279491i
$45$	1.99371	+	1.99371i	0.297205	+	0.297205i
$46$	5.16294	−	2.63065i	0.761234	−	0.387868i
$47$	0.282586	−	1.78418i	0.0412194	−	0.260249i	−0.958469	−	0.285195i	$-0.907942\pi$
$47$	0.282586	−	1.78418i	0.0412194	−	0.260249i	0.999689	+	0.0249464i	$0.00794153\pi$
$48$	−3.42000	−	2.48478i	−0.493635	−	0.358646i
$49$	4.77646	−	1.55197i	0.682351	−	0.221709i
$50$	−1.95033	+	3.82773i	−0.275818	+	0.541323i
$51$	−5.84740	−	4.24839i	−0.818800	−	0.594893i
$52$	−0.436056	+	0.0133029i	−0.0604701	+	0.00184478i
$53$	−1.77984	+	5.47779i	−0.244480	+	0.752432i	0.751241	+	0.660027i	$0.229455\pi$
$53$	−1.77984	+	5.47779i	−0.244480	+	0.752432i	−0.995722	+	0.0924048i	$0.970545\pi$
$54$	1.02980	−	1.02980i	0.140139	−	0.140139i
$55$	8.86732	+	2.96955i	1.19567	+	0.400415i
$56$			3.84841i			0.514266i
$57$	−2.27052	−	4.45615i	−0.300738	−	0.590231i
$58$	11.5771	+	1.83363i	1.52014	+	0.240767i
$59$	−8.32120	+	1.31795i	−1.08333	+	0.171582i	−0.672476	−	0.740119i	$-0.734769\pi$
$59$	−8.32120	+	1.31795i	−1.08333	+	0.171582i	−0.410853	+	0.911702i	$0.634769\pi$
$60$	0.303970	+	0.154881i	0.0392424	+	0.0199950i
$61$	−1.51434	+	0.492038i	−0.193891	+	0.0629991i	−0.404353	−	0.914603i	$-0.632503\pi$
$61$	−1.51434	+	0.492038i	−0.193891	+	0.0629991i	0.210462	+	0.977602i	$0.432503\pi$
$62$	−0.659599	−	0.479227i	−0.0837692	−	0.0608619i
$63$	−1.38901	−	0.219997i	−0.174998	−	0.0277170i
$64$	7.09414	+	2.30503i	0.886768	+	0.288128i
$65$	−9.98766	+	1.89575i	−1.23882	+	0.235138i
$66$	1.53385	−	4.58020i	0.188804	−	0.563784i
$67$	−4.59554	−	4.59554i	−0.561435	−	0.561435i	0.368280	−	0.929715i	$-0.379947\pi$
$67$	−4.59554	−	4.59554i	−0.561435	−	0.561435i	−0.929715	+	0.368280i	$0.879947\pi$
$68$	−0.831734	−	0.270247i	−0.100863	−	0.0327722i
$69$	−2.33865	−	3.21887i	−0.281540	−	0.387507i
$70$	−0.903367	−	5.70363i	−0.107973	−	0.681715i
$71$	5.71298	−	11.2124i	0.678006	−	1.33066i	−0.253641	−	0.967298i	$-0.581628\pi$
$71$	5.71298	−	11.2124i	0.678006	−	1.33066i	0.931647	−	0.363364i	$-0.118372\pi$
$72$	−1.24235	+	2.43825i	−0.146412	+	0.287351i
$73$	0.752869	+	4.75342i	0.0881166	+	0.556346i	0.991765	+	0.128071i	$0.0408786\pi$
$73$	0.752869	+	4.75342i	0.0881166	+	0.556346i	−0.903648	+	0.428275i	$0.859121\pi$
$74$	−8.04413	−	11.0718i	−0.935112	−	1.28707i
$75$	2.80541	+	0.911534i	0.323941	+	0.105255i
$76$	−0.427894	−	0.427894i	−0.0490828	−	0.0490828i
$77$	−4.44873	+	1.40139i	−0.506979	+	0.159704i
$78$	0.979202	+	5.15889i	0.110873	+	0.584129i
$79$	−7.52994	−	2.44663i	−0.847184	−	0.275267i	−0.146918	−	0.989149i	$-0.546935\pi$
$79$	−7.52994	−	2.44663i	−0.847184	−	0.275267i	−0.700266	+	0.713882i	$0.746935\pi$
$80$	−11.7724	−	1.86457i	−1.31620	−	0.208465i
$81$	−0.809017	−	0.587785i	−0.0898908	−	0.0653095i
$82$	−2.83146	+	0.919996i	−0.312682	+	0.101597i
$83$	12.1354	+	6.18332i	1.33204	+	0.678707i	0.967592	−	0.252517i	$-0.0812584\pi$
$83$	12.1354	+	6.18332i	1.33204	+	0.678707i	0.364446	+	0.931225i	$0.381258\pi$
$84$	−0.168065	+	0.0266188i	−0.0183374	+	0.00290435i
$85$	−20.1281	−	3.18798i	−2.18320	−	0.345785i
$86$	6.87391	+	13.4908i	0.741233	+	1.45475i
$87$		−	8.04839i		−	0.862878i
$88$	−0.0815847	+	9.07562i	−0.00869696	+	0.967464i
$89$	−3.70227	+	3.70227i	−0.392440	+	0.392440i	−0.875556	−	0.483116i	$-0.839505\pi$
$89$	−3.70227	+	3.70227i	−0.392440	+	0.392440i	0.483116	+	0.875556i	$0.339505\pi$
$90$	1.26891	−	3.90530i	0.133755	−	0.411654i
$91$	3.47443	−	3.69309i	0.364219	−	0.387141i
$92$	−0.389472	−	0.282968i	−0.0406053	−	0.0295015i
$93$	−0.254155	+	0.498808i	−0.0263547	+	0.0517240i
$94$	−2.50204	+	0.812962i	−0.258066	+	0.0838506i
$95$	−11.4081	−	8.28848i	−1.17045	−	0.850380i
$96$	−0.106929	+	0.675123i	−0.0109134	+	0.0689044i
$97$	−5.37269	+	2.73752i	−0.545514	+	0.277953i	−0.704952	−	0.709255i	$-0.749032\pi$
$97$	−5.37269	+	2.73752i	−0.545514	+	0.277953i	0.159438	+	0.987208i	$0.449032\pi$
$98$	−5.17195	−	5.17195i	−0.522446	−	0.522446i
$99$	−3.27100	−	0.548260i	−0.328747	−	0.0551022i
$100$	0.356914			0.0356914
$101$	5.65657	−	17.4091i	0.562849	−	1.73227i	−0.111407	−	0.993775i	$-0.535536\pi$
$101$	5.65657	−	17.4091i	0.562849	−	1.73227i	0.674257	−	0.738497i	$-0.264464\pi$
$102$	−1.64667	+	10.3967i	−0.163045	+	1.02943i
$103$	0.957346	−	1.31767i	0.0943301	−	0.129834i	−0.759243	−	0.650807i	$-0.774431\pi$
$103$	0.957346	−	1.31767i	0.0943301	−	0.129834i	0.853573	+	0.520973i	$0.174431\pi$
$104$	−4.74535	−	8.65056i	−0.465320	−	0.848257i
$105$	−3.77110	+	1.22530i	−0.368022	+	0.119577i
$106$	8.28493	−	1.31220i	0.804704	−	0.127453i
$107$	5.04090	+	6.93820i	0.487322	+	0.670741i	0.979891	−	0.199532i	$-0.0639422\pi$
$107$	5.04090	+	6.93820i	0.487322	+	0.670741i	−0.492569	+	0.870273i	$0.663942\pi$
$108$	−0.115074	−	0.0373900i	−0.0110730	−	0.00359785i
$109$	−6.49883	+	6.49883i	−0.622475	+	0.622475i	−0.946164	−	0.323688i	$-0.895077\pi$
$109$	−6.49883	+	6.49883i	−0.622475	+	0.622475i	0.323688	+	0.946164i	$0.395077\pi$
$110$	−2.00947	−	13.4699i	−0.191596	−	1.28430i
$111$	−6.64470	+	6.64470i	−0.630687	+	0.630687i
$112$	5.29704	−	2.69898i	0.500523	−	0.255029i
$113$	7.29279	−	5.29852i	0.686048	−	0.498443i	−0.189310	−	0.981917i	$-0.560625\pi$
$113$	7.29279	−	5.29852i	0.686048	−	0.498443i	0.875359	+	0.483474i	$0.160625\pi$
$114$	−4.28122	+	5.89259i	−0.400973	+	0.551892i
$115$	−9.99550	−	5.09296i	−0.932086	−	0.474921i
$116$	−0.300929	−	0.926164i	−0.0279406	−	0.0859922i
$117$	3.39351	−	1.21822i	0.313730	−	0.112625i
$118$	7.21199	+	9.92645i	0.663917	+	0.913804i
$119$	9.05670	−	4.61462i	0.830227	−	0.423022i
$120$			7.71570i			0.704344i
$121$	−10.5210	+	3.21056i	−0.956458	+	0.291870i
$122$	1.63973	+	1.63973i	0.148454	+	0.148454i
$123$	0.928069	+	1.82144i	0.0836812	+	0.164234i
$124$	−0.0105964	+	0.0669029i	−0.000951583	+	0.00600806i
$125$	−5.70948	+	0.904293i	−0.510671	+	0.0808824i
$126$	0.632902	+	1.94787i	0.0563834	+	0.173530i
$127$	5.52453	+	17.0028i	0.490223	+	1.50875i	0.824272	+	0.566195i	$0.191585\pi$
$127$	5.52453	+	17.0028i	0.490223	+	1.50875i	−0.334049	+	0.942556i	$0.608415\pi$
$128$	−1.91326	−	12.0798i	−0.169110	−	1.06772i
$129$	8.41094	−	6.11091i	0.740542	−	0.538035i
$130$	9.06357	+	11.7069i	0.794928	+	1.02676i
$131$			6.13780i			0.536262i	0.963382	+	0.268131i	$0.0864061\pi$
$131$			6.13780i			0.536262i	−0.963382	+	0.268131i	$0.913594\pi$
$132$	−0.396908	+	0.0592117i	−0.0345464	+	0.00515372i
$133$	7.03335			0.609869
$134$	−2.92485	+	9.00177i	−0.252669	+	0.777635i
$135$	−2.78482	−	0.441073i	−0.239679	−	0.0379615i
$136$	−3.09411	−	19.5354i	−0.265317	−	1.67515i
$137$	3.22378	+	1.64260i	0.275426	+	0.140337i	0.586248	−	0.810131i	$-0.300604\pi$
$137$	3.22378	+	1.64260i	0.275426	+	0.140337i	−0.310822	+	0.950468i	$0.600604\pi$
$138$	−2.63065	+	5.16294i	−0.223936	+	0.439498i
$139$	0.746681	−	1.02772i	0.0633327	−	0.0871699i	−0.776176	−	0.630517i	$-0.782843\pi$
$139$	0.746681	−	1.02772i	0.0633327	−	0.0871699i	0.839508	+	0.543347i	$0.182843\pi$
$140$	−0.388143	+	0.282003i	−0.0328041	+	0.0238336i
$141$	0.820096	+	1.60953i	0.0690645	+	0.135547i
$142$	−18.3268			−1.53795
$143$	8.27195	−	8.63567i	0.691736	−	0.722151i
$144$	4.22735			0.352279
$145$	−10.3023	−	20.2194i	−0.855558	−	1.67913i
$146$	5.67041	−	4.11979i	0.469286	−	0.340956i
$147$	−2.95201	+	4.06310i	−0.243478	+	0.335119i
$148$	−0.516191	+	1.01308i	−0.0424306	+	0.0832748i
$149$	−14.1994	−	7.23493i	−1.16326	−	0.592709i	−0.237708	−	0.971337i	$-0.576396\pi$
$149$	−14.1994	−	7.23493i	−1.16326	−	0.592709i	−0.925549	+	0.378628i	$0.876396\pi$
$150$	−0.672037	−	4.24307i	−0.0548716	−	0.346446i
$151$	−7.07500	−	1.12057i	−0.575755	−	0.0911906i	−0.138235	−	0.990399i	$-0.544143\pi$
$151$	−7.07500	−	1.12057i	−0.575755	−	0.0911906i	−0.437520	+	0.899209i	$0.644143\pi$
$152$	4.22920	−	13.0161i	0.343034	−	1.05575i
$153$	7.22779			0.584332
$154$	4.75988	+	4.84623i	0.383562	+	0.390521i
$155$			1.57845i			0.126784i
$156$	0.344958	−	0.267070i	0.0276187	−	0.0213827i
$157$	−5.96663	+	4.33501i	−0.476189	+	0.345972i	−0.799848	−	0.600202i	$-0.795087\pi$
$157$	−5.96663	+	4.33501i	−0.476189	+	0.345972i	0.323659	+	0.946174i	$0.395087\pi$
$158$	1.80380	+	11.3887i	0.143502	+	0.906038i
$159$	−1.77984	−	5.47779i	−0.141151	−	0.434417i
$160$	0.595557	+	1.83293i	0.0470829	+	0.144906i
$161$	5.52650	−	0.875311i	0.435549	−	0.0689842i
$162$	−0.227826	+	1.43843i	−0.0178997	+	0.113014i
$163$	7.16225	+	14.0567i	0.560991	+	1.10101i	0.981094	+	0.193530i	$0.0619936\pi$
$163$	7.16225	+	14.0567i	0.560991	+	1.10101i	−0.420104	+	0.907476i	$0.638006\pi$
$164$	0.174901	+	0.174901i	0.0136574	+	0.0136574i
$165$	−8.91927	+	2.80966i	−0.694365	+	0.218732i
$166$		−	19.8356i		−	1.53954i
$167$	11.7607	−	5.99235i	0.910066	−	0.463702i	0.0647097	−	0.997904i	$-0.479388\pi$
$167$	11.7607	−	5.99235i	0.910066	−	0.463702i	0.845357	+	0.534202i	$0.179388\pi$
$168$	−2.26204	−	3.11343i	−0.174520	−	0.240206i
$169$	−3.25608	+	12.5856i	−0.250468	+	0.968125i
$170$	9.17139	+	28.2267i	0.703414	+	2.16489i
$171$	4.45615	+	2.27052i	0.340770	+	0.173631i
$172$	0.739398	−	1.01769i	0.0563786	−	0.0775985i
$173$	−13.2771	+	9.64638i	−1.00944	+	0.733401i	−0.964091	−	0.265571i	$-0.914440\pi$
$173$	−13.2771	+	9.64638i	−1.00944	+	0.733401i	−0.0453478	+	0.998971i	$0.514440\pi$
$174$	−10.4438	+	5.32140i	−0.791745	+	0.403414i
$175$	−2.93332	+	2.93332i	−0.221738	+	0.221738i
$176$	12.5491	−	6.25264i	0.945925	−	0.471311i
$177$	5.95732	−	5.95732i	0.447780	−	0.447780i
$178$	7.25204	+	2.35633i	0.543563	+	0.176614i
$179$	−9.45828	−	13.0182i	−0.706945	−	0.973027i	−0.999857	−	0.0168875i	$-0.994624\pi$
$179$	−9.45828	−	13.0182i	−0.706945	−	0.973027i	0.292912	−	0.956139i	$-0.405376\pi$
$180$	−0.336954	+	0.0533682i	−0.0251151	+	0.00397783i
$181$	9.35255	−	3.03883i	0.695170	−	0.225874i	0.0599449	−	0.998202i	$-0.480908\pi$
$181$	9.35255	−	3.03883i	0.695170	−	0.225874i	0.635225	+	0.772327i	$0.280908\pi$
$182$	−7.08947	−	2.06674i	−0.525506	−	0.153197i
$183$	0.935913	−	1.28817i	0.0691846	−	0.0952245i
$184$	1.70324	−	10.7538i	0.125565	−	0.792784i
$185$	−8.18749	+	25.1985i	−0.601956	+	1.85263i
$186$	0.815309			0.0597814
$187$	21.4560	−	10.6906i	1.56902	−	0.781771i
$188$	0.154552	+	0.154552i	0.0112719	+	0.0112719i
$189$	1.25304	−	0.638456i	0.0911452	−	0.0464408i
$190$	−3.21262	+	20.2837i	−0.233068	+	1.47153i
$191$	8.68033	+	6.30663i	0.628087	+	0.456332i	0.855737	−	0.517411i	$-0.173104\pi$
$191$	8.68033	+	6.30663i	0.628087	+	0.456332i	−0.227650	+	0.973743i	$0.573104\pi$
$192$	−7.09414	+	2.30503i	−0.511976	+	0.166351i
$193$	−0.926615	+	1.81858i	−0.0666992	+	0.130905i	−0.921949	−	0.387312i	$-0.873404\pi$
$193$	−0.926615	+	1.81858i	−0.0666992	+	0.130905i	0.855250	+	0.518216i	$0.173404\pi$
$194$	7.10458	+	5.16178i	0.510079	+	0.370594i
$195$	6.96590	−	7.40429i	0.498838	−	0.530232i
$196$	−0.187782	+	0.577935i	−0.0134130	+	0.0412810i
$197$	15.9158	−	15.9158i	1.13395	−	1.13395i	0.144440	−	0.989514i	$-0.453862\pi$
$197$	15.9158	−	15.9158i	1.13395	−	1.13395i	0.989514	−	0.144440i	$-0.0461379\pi$
$198$	1.45126	+	4.60704i	0.103137	+	0.327408i
$199$		−	6.52532i		−	0.462568i	−0.972886	−	0.231284i	$-0.925707\pi$
$199$		−	6.52532i		−	0.462568i	0.972886	−	0.231284i	$-0.0742926\pi$
$200$	3.66467	+	7.19232i	0.259131	+	0.508574i
$201$	6.41906	+	1.01668i	0.452766	+	0.0717111i
$202$	−26.3306	+	4.17035i	−1.85261	+	0.293425i
$203$	10.0850	+	5.13854i	0.707825	+	0.360655i
$204$	0.831734	−	0.270247i	0.0582330	−	0.0189211i
$205$	4.66304	+	3.38790i	0.325681	+	0.236621i
$206$	−2.34283	−	0.371067i	−0.163232	−	0.0258535i
$207$	3.78401	+	1.22950i	0.263007	+	0.0854561i
$208$	−8.57881	+	12.5984i	−0.594833	+	0.873545i
$209$	16.5866	+	0.149104i	1.14732	+	0.0103138i
$210$	4.08335	+	4.08335i	0.281778	+	0.281778i
$211$	22.8141	+	7.41276i	1.57059	+	0.510315i	0.959610	−	0.281332i	$-0.0907762\pi$
$211$	22.8141	+	7.41276i	1.57059	+	0.510315i	0.610978	+	0.791647i	$0.290776\pi$
$212$	−0.409629	−	0.563806i	−0.0281334	−	0.0387223i
$213$	1.96856	+	12.4290i	0.134883	+	0.851621i
$214$	5.67030	−	11.1286i	0.387614	−	0.760735i
$215$	13.3080	−	26.1183i	0.907595	−	1.78126i
$216$	−0.428085	−	2.70282i	−0.0291275	−	0.183904i
$217$	−0.462759	−	0.636933i	−0.0314141	−	0.0432379i
$218$	12.7299	+	4.13621i	0.862181	+	0.280140i
$219$	−3.40308	−	3.40308i	−0.229959	−	0.229959i
$220$	−0.921328	+	0.656812i	−0.0621159	+	0.0442822i
$221$	−14.6678	+	21.5404i	−0.986660	+	1.44896i
$222$	13.0157	+	4.22905i	0.873555	+	0.283835i
$223$	3.83490	+	0.607389i	0.256804	+	0.0406738i	0.283509	−	0.958970i	$-0.408501\pi$
$223$	3.83490	+	0.607389i	0.256804	+	0.0406738i	−0.0267049	+	0.999643i	$0.508501\pi$
$224$	−0.777686	−	0.565022i	−0.0519614	−	0.0377521i
$225$	−2.80541	+	0.911534i	−0.187028	+	0.0607690i
$226$	−11.6973	−	5.96009i	−0.778095	−	0.396459i
$227$	−17.5587	+	2.78102i	−1.16541	+	0.184583i	−0.709014	−	0.705195i	$-0.750860\pi$
$227$	−17.5587	+	2.78102i	−1.16541	+	0.184583i	−0.456395	+	0.889777i	$0.650860\pi$
$228$	0.597683	+	0.0946638i	0.0395826	+	0.00626926i
$229$	4.29117	+	8.42190i	0.283569	+	0.556535i	0.988224	−	0.153015i	$-0.0488983\pi$
$229$	4.29117	+	8.42190i	0.283569	+	0.556535i	−0.704655	+	0.709550i	$0.748898\pi$
$230$			16.3378i			1.07728i
$231$	2.77538	−	3.74865i	0.182606	−	0.246643i
$232$	15.5737	−	15.5737i	1.02246	−	1.02246i
$233$	−3.26436	+	10.0467i	−0.213855	+	0.658179i	0.785377	+	0.619017i	$0.212469\pi$
$233$	−3.26436	+	10.0467i	−0.213855	+	0.658179i	−0.999233	+	0.0391621i	$0.987531\pi$
$234$	−3.82451	−	3.59807i	−0.250016	−	0.235213i
$235$	4.12053	+	2.99374i	0.268794	+	0.195290i
$236$	0.462792	−	0.908280i	0.0301252	−	0.0591240i
$237$	7.52994	−	2.44663i	0.489122	−	0.158925i
$238$	−11.9761	−	8.70117i	−0.776298	−	0.564013i
$239$	3.56279	−	22.4946i	0.230458	−	1.45505i	−0.552777	−	0.833329i	$-0.686432\pi$
$239$	3.56279	−	22.4946i	0.230458	−	1.45505i	0.783235	−	0.621726i	$-0.213568\pi$
$240$	10.6201	−	5.41119i	0.685522	−	0.349291i
$241$	−8.11947	−	8.11947i	−0.523021	−	0.523021i	0.395461	−	0.918483i	$-0.370585\pi$
$241$	−8.11947	−	8.11947i	−0.523021	−	0.523021i	−0.918483	+	0.395461i	$0.870585\pi$
$242$	11.1224	+	11.5297i	0.714974	+	0.741155i
$243$	1.00000			0.0641500
$244$	0.0595349	−	0.183230i	0.00381133	−	0.0117301i
$245$	−2.21518	+	13.9861i	−0.141523	+	0.893541i
$246$	1.74994	−	2.40858i	0.111572	−	0.153566i
$247$	−15.8098	+	8.67260i	−1.00595	+	0.551824i
$248$	−1.45699	+	0.473404i	−0.0925189	+	0.0300612i
$249$	−13.4522	+	2.13063i	−0.852501	+	0.135023i
$250$	4.94841	+	6.81090i	0.312965	+	0.430759i
$251$	14.2504	+	4.63023i	0.899477	+	0.292258i	0.722021	−	0.691871i	$-0.243213\pi$
$251$	14.2504	+	4.63023i	0.899477	+	0.292258i	0.177456	+	0.984129i	$0.443213\pi$
$252$	0.120321	−	0.120321i	0.00757951	−	0.00757951i
$253$	13.0516	−	1.94707i	0.820545	−	0.122411i
$254$	18.4106	−	18.4106i	1.15518	−	1.15518i
$255$	18.1578	−	9.25188i	1.13709	−	0.579375i
$256$	−2.34089	+	1.70076i	−0.146306	+	0.106297i
$257$	15.1187	−	20.8090i	0.943076	−	1.29803i	−0.0114593	−	0.999934i	$-0.503648\pi$
$257$	15.1187	−	20.8090i	0.943076	−	1.29803i	0.954535	−	0.298098i	$-0.0963523\pi$
$258$	−13.4908	−	6.87391i	−0.839901	−	0.427951i
$259$	−4.08373	−	12.5684i	−0.253751	−	0.780964i
$260$	0.524751	−	1.11250i	0.0325437	−	0.0689943i
$261$	4.73073	+	6.51129i	0.292825	+	0.403038i
$262$	7.96460	−	4.05817i	0.492055	−	0.250714i
$263$		−	25.8739i		−	1.59545i	−0.603021	−	0.797725i	$-0.706037\pi$
$263$		−	25.8739i		−	1.59545i	0.603021	−	0.797725i	$-0.293963\pi$
$264$	−5.26851	−	7.39029i	−0.324255	−	0.454841i
$265$	−11.4832	−	11.4832i	−0.705405	−	0.705405i
$266$	−4.65028	−	9.12669i	−0.285127	−	0.559593i
$267$	0.819061	−	5.17135i	0.0501257	−	0.316481i
$268$	0.776684	−	0.123015i	0.0474435	−	0.00751432i
$269$	3.78834	+	11.6593i	0.230979	+	0.710880i	0.997629	+	0.0688154i	$0.0219219\pi$
$269$	3.78834	+	11.6593i	0.230979	+	0.710880i	−0.766650	+	0.642065i	$0.778078\pi$
$270$	1.26891	+	3.90530i	0.0772233	+	0.237669i
$271$	0.0601291	+	0.379640i	0.00365258	+	0.0230615i	0.989447	−	0.144893i	$-0.0462838\pi$
$271$	0.0601291	+	0.379640i	0.00365258	+	0.0230615i	−0.985795	+	0.167955i	$0.946284\pi$
$272$	−24.7190	+	17.9594i	−1.49881	+	1.08895i
$273$	−0.640128	+	5.02999i	−0.0387423	+	0.304429i
$274$		−	5.26933i		−	0.318332i
$275$	−6.97977	+	6.85540i	−0.420896	+	0.413396i
$276$	0.481414			0.0289777
$277$	−1.70600	+	5.25052i	−0.102503	+	0.315473i	−0.989136	−	0.147001i	$-0.953038\pi$
$277$	−1.70600	+	5.25052i	−0.102503	+	0.315473i	0.886633	+	0.462474i	$0.153038\pi$
$278$	−1.82729	−	0.289414i	−0.109593	−	0.0173579i
$279$	−0.0875759	−	0.552933i	−0.00524303	−	0.0331032i
$280$	−9.66808	−	4.92613i	−0.577778	−	0.294393i
$281$	1.33169	−	2.61359i	0.0794421	−	0.155914i	−0.847869	−	0.530206i	$-0.822114\pi$
$281$	1.33169	−	2.61359i	0.0794421	−	0.155914i	0.927311	+	0.374293i	$0.122114\pi$
$282$	1.54635	−	2.12836i	0.0920835	−	0.126742i
$283$	−17.0072	+	12.3564i	−1.01097	+	0.734514i	−0.964413	−	0.264401i	$-0.914826\pi$
$283$	−17.0072	+	12.3564i	−1.01097	+	0.734514i	−0.0465594	+	0.998916i	$0.514826\pi$
$284$	0.691251	+	1.35666i	0.0410182	+	0.0805027i
$285$	14.1012			0.835284
$286$	−16.6751	−	5.02424i	−0.986020	−	0.297090i
$287$	−2.87487			−0.169698
$288$	−0.310320	−	0.609037i	−0.0182858	−	0.0358879i
$289$	−28.5105	+	20.7141i	−1.67709	+	1.21848i
$290$	−19.4256	+	26.7371i	−1.14071	+	1.57006i
$291$	2.73752	−	5.37269i	0.160476	−	0.314953i
$292$	−0.518848	−	0.264366i	−0.0303633	−	0.0154709i
$293$	4.79201	+	30.2556i	0.279952	+	1.76755i	0.580964	+	0.813930i	$0.302676\pi$
$293$	4.79201	+	30.2556i	0.279952	+	1.76755i	−0.301011	+	0.953621i	$0.597324\pi$
$294$	7.22420	+	1.14420i	0.421324	+	0.0667311i
$295$	7.34051	−	22.5918i	0.427381	−	1.31534i
$296$	−25.7151			−1.49466
$297$	2.96855	−	1.47909i	0.172253	−	0.0858256i
$298$			23.2091i			1.34447i
$299$	−11.3433	+	8.78209i	−0.655999	+	0.507881i
$300$	−0.288749	+	0.209789i	−0.0166710	+	0.0121122i
$301$	2.28720	+	14.4408i	0.131832	+	0.832353i
$302$	3.22373	+	9.92162i	0.185505	+	0.570925i
$303$	5.65657	+	17.4091i	0.324961	+	1.00013i
$304$	−20.8818	+	3.30735i	−1.19765	+	0.189689i
$305$	0.702307	−	4.43419i	0.0402140	−	0.253901i
$306$	−4.77883	−	9.37899i	−0.273188	−	0.536161i
$307$	−0.177086	−	0.177086i	−0.0101068	−	0.0101068i	0.702035	−	0.712142i	$-0.252275\pi$
$307$	−0.177086	−	0.177086i	−0.0101068	−	0.0101068i	−0.712142	+	0.702035i	$0.752275\pi$
$308$	0.179213	−	0.535145i	0.0102116	−	0.0304927i
$309$			1.62873i			0.0926554i
$310$	2.04824	−	1.04363i	0.116332	−	0.0592742i
$311$	6.59953	+	9.08347i	0.374225	+	0.515076i	0.954043	−	0.299670i	$-0.0968764\pi$
$311$	6.59953	+	9.08347i	0.374225	+	0.515076i	−0.579818	+	0.814746i	$0.696876\pi$
$312$	8.92374	+	4.20921i	0.505207	+	0.238299i
$313$	−5.76298	−	17.7366i	−0.325743	−	1.00253i	−0.971104	−	0.238656i	$-0.923293\pi$
$313$	−5.76298	−	17.7366i	−0.325743	−	1.00253i	0.645361	−	0.763878i	$-0.276707\pi$
$314$	9.57023	+	4.87628i	0.540079	+	0.275184i
$315$	2.33067	−	3.20789i	0.131318	−	0.180744i
$316$	0.775025	−	0.563088i	0.0435985	−	0.0316762i
$317$	1.07377	−	0.547115i	0.0603091	−	0.0307290i	−0.423576	−	0.905861i	$-0.639225\pi$
$317$	1.07377	−	0.547115i	0.0603091	−	0.0307290i	0.483885	+	0.875132i	$0.339225\pi$
$318$	−5.93136	+	5.93136i	−0.332614	+	0.332614i
$319$	23.6742	+	12.3319i	1.32550	+	0.690454i
$320$	−14.8716	+	14.8716i	−0.831345	+	0.831345i
$321$	−8.15634	−	2.65016i	−0.455243	−	0.147917i
$322$	−4.78981	−	6.59261i	−0.266926	−	0.367392i
$323$	−35.7029	+	5.65479i	−1.98656	+	0.314641i
$324$	0.115074	−	0.0373900i	0.00639303	−	0.00207722i
$325$	2.97662	−	10.2106i	0.165113	−	0.566381i
$326$	13.5049	−	18.5879i	0.747967	−	1.02949i
$327$	1.43775	−	9.07758i	0.0795077	−	0.501992i
$328$	−1.72868	+	5.32032i	−0.0954502	+	0.293765i
$329$	−2.54040			−0.140057
$330$	9.54311	+	9.71624i	0.525331	+	0.534861i
$331$	−16.4505	−	16.4505i	−0.904201	−	0.904201i	0.0915954	−	0.995796i	$-0.470803\pi$
$331$	−16.4505	−	16.4505i	−0.904201	−	0.904201i	−0.995796	+	0.0915954i	$0.970803\pi$
$332$	−1.46835	+	0.748160i	−0.0805860	+	0.0410606i
$333$	1.47002	−	9.28134i	0.0805566	−	0.508614i
$334$	−15.5517	−	11.2990i	−0.850952	−	0.618253i
$335$	17.4275	−	5.66255i	0.952167	−	0.309378i
$336$	−2.69898	+	5.29704i	−0.147241	+	0.288977i
$337$	10.3083	+	7.48944i	0.561531	+	0.407976i	0.832019	−	0.554747i	$-0.187185\pi$
$337$	10.3083	+	7.48944i	0.561531	+	0.407976i	−0.270488	+	0.962723i	$0.587185\pi$
$338$	18.4843	−	4.09611i	1.00541	−	0.222799i
$339$	−2.78560	+	8.57319i	−0.151293	+	0.465632i
$340$	1.74358	−	1.74358i	0.0945587	−	0.0945587i
$341$	−1.07781	−	1.51188i	−0.0583668	−	0.0818727i
$342$		−	7.28364i		−	0.393854i
$343$	−7.67568	−	15.0644i	−0.414448	−	0.813400i
$344$	28.0999	+	4.45058i	1.51504	+	0.239959i
$345$	11.0801	−	1.75492i	0.596533	−	0.0944815i
$346$	21.2959	+	10.8508i	1.14488	+	0.583343i
$347$	−9.45628	+	3.07253i	−0.507640	+	0.164942i	−0.551628	−	0.834090i	$-0.685993\pi$
$347$	−9.45628	+	3.07253i	−0.507640	+	0.164942i	0.0439890	+	0.999032i	$0.485993\pi$
$348$	0.787843	+	0.572401i	0.0422328	+	0.0306839i
$349$	−20.7373	−	3.28446i	−1.11004	−	0.175813i	−0.425621	−	0.904902i	$-0.639944\pi$
$349$	−20.7373	−	3.28446i	−1.11004	−	0.175813i	−0.684419	+	0.729089i	$0.739944\pi$
$350$	5.74581	+	1.86693i	0.307126	+	0.0997914i
$351$	−2.02936	+	2.98022i	−0.108319	+	0.159072i
$352$	−1.82202	−	1.34897i	−0.0971141	−	0.0719001i
$353$	19.0416	+	19.0416i	1.01348	+	1.01348i	0.999908	+	0.0135739i	$0.00432084\pi$
$353$	19.0416	+	19.0416i	1.01348	+	1.01348i	0.0135739	+	0.999908i	$0.495679\pi$
$354$	−11.6692	−	3.79157i	−0.620213	−	0.201519i
$355$	20.8551	+	28.7046i	1.10687	+	1.52348i
$356$	−0.0991035	−	0.625715i	−0.00525247	−	0.0331628i
$357$	−4.61462	+	9.05670i	−0.244232	+	0.479332i
$358$	−10.6392	+	20.8807i	−0.562301	+	1.10358i
$359$	−1.27138	−	8.02720i	−0.0671011	−	0.423660i	−0.998256	−	0.0590355i	$-0.981197\pi$
$359$	−1.27138	−	8.02720i	−0.0671011	−	0.423660i	0.931155	−	0.364624i	$-0.118803\pi$
$360$	−4.53517	−	6.24213i	−0.239025	−	0.328989i
$361$	−5.71823	−	1.85797i	−0.300960	−	0.0977877i
$362$	−10.1270	−	10.1270i	−0.532261	−	0.532261i
$363$	6.62458	−	8.78151i	0.347700	−	0.460910i
$364$	0.114409	+	0.602758i	0.00599665	+	0.0315931i
$365$	−12.9054	−	4.19321i	−0.675498	−	0.219483i
$366$	−2.29037	−	0.362760i	−0.119720	−	0.0189618i
$367$	−1.66292	−	1.20818i	−0.0868036	−	0.0630665i	0.543537	−	0.839385i	$-0.317085\pi$
$367$	−1.66292	−	1.20818i	−0.0868036	−	0.0630665i	−0.630341	+	0.776319i	$0.717085\pi$
$368$	−15.9963	+	5.19753i	−0.833867	+	0.270940i
$369$	−1.82144	−	0.928069i	−0.0948203	−	0.0483134i
$370$	38.1117	−	6.03630i	1.98133	−	0.313812i
$371$	8.00024	+	1.26711i	0.415352	+	0.0657852i
$372$	−0.0307519	−	0.0603540i	−0.00159441	−	0.00312921i
$373$		−	25.2581i		−	1.30782i	−0.756574	−	0.653908i	$-0.773128\pi$
$373$		−	25.2581i		−	1.30782i	0.756574	−	0.653908i	$-0.226872\pi$
$374$	−28.0586	−	20.7737i	−1.45088	−	1.07418i
$375$	4.08754	−	4.08754i	0.211079	−	0.211079i
$376$	−1.52756	+	4.70134i	−0.0787778	+	0.242453i
$377$	−29.0054	+	0.884876i	−1.49385	+	0.0455734i
$378$	−1.65696	−	1.20385i	−0.0852247	−	0.0619194i
$379$	−2.08385	+	4.08979i	−0.107040	+	0.210078i	−0.938314	−	0.345786i	$-0.887612\pi$
$379$	−2.08385	+	4.08979i	−0.107040	+	0.210078i	0.831273	+	0.555864i	$0.187612\pi$
$380$	1.62269	−	0.527244i	0.0832422	−	0.0270470i
$381$	−14.4634	−	10.5083i	−0.740983	−	0.538355i
$382$	2.44445	−	15.4336i	0.125069	−	0.789654i
$383$	−7.50405	+	3.82350i	−0.383439	+	0.195372i	−0.635076	−	0.772450i	$-0.719031\pi$
$383$	−7.50405	+	3.82350i	−0.383439	+	0.195372i	0.251637	+	0.967822i	$0.419031\pi$
$384$	8.64822	+	8.64822i	0.441327	+	0.441327i
$385$	2.17394	−	12.9700i	0.110794	−	0.661015i
$386$	2.97250			0.151297
$387$	−3.21269	+	9.88766i	−0.163310	+	0.502618i
$388$	0.114134	−	0.720615i	0.00579429	−	0.0365837i
$389$	12.5994	−	17.3416i	0.638814	−	0.879252i	−0.359738	−	0.933053i	$-0.617134\pi$
$389$	12.5994	−	17.3416i	0.638814	−	0.879252i	0.998552	+	0.0538016i	$0.0171339\pi$
$390$	−14.2137	−	4.14362i	−0.719739	−	0.209820i
$391$	−27.3500	+	8.88656i	−1.38315	+	0.449413i
$392$	−13.5743	+	2.14996i	−0.685605	+	0.108589i
$393$	−3.60771	−	4.96559i	−0.181985	−	0.250481i
$394$	−31.1759	−	10.1297i	−1.57062	−	0.510326i
$395$	15.7851	−	15.7851i	0.794236	−	0.794236i
$396$	0.286301	−	0.281200i	0.0143872	−	0.0141308i
$397$	3.81208	−	3.81208i	0.191323	−	0.191323i	−0.604945	−	0.796268i	$-0.706805\pi$
$397$	3.81208	−	3.81208i	0.191323	−	0.191323i	0.796268	+	0.604945i	$0.206805\pi$
$398$	−8.46746	+	4.31438i	−0.424435	+	0.216261i
$399$	−5.69010	+	4.13410i	−0.284861	+	0.206964i
$400$	7.32956	−	10.0883i	0.366478	−	0.504414i
$401$	−10.2699	−	5.23280i	−0.512857	−	0.261313i	0.178355	−	0.983966i	$-0.442923\pi$
$401$	−10.2699	−	5.23280i	−0.512857	−	0.261313i	−0.691211	+	0.722653i	$0.742923\pi$
$402$	−2.92485	−	9.00177i	−0.145878	−	0.448968i
$403$	1.82558	+	0.861103i	0.0909388	+	0.0428946i
$404$	1.30185	+	1.79185i	0.0647696	+	0.0891477i
$405$	2.51223	−	1.28004i	0.124833	−	0.0636058i
$406$		−	16.4840i		−	0.818088i
$407$	−9.36412	−	29.7264i	−0.464162	−	1.47348i
$408$	13.9858	+	13.9858i	0.692401	+	0.692401i
$409$	6.33927	+	12.4415i	0.313457	+	0.615193i	0.992956	−	0.118483i	$-0.0378030\pi$
$409$	6.33927	+	12.4415i	0.313457	+	0.615193i	−0.679499	+	0.733676i	$0.737803\pi$
$410$	1.31315	−	8.29089i	0.0648518	−	0.409458i
$411$	−3.57359	+	0.566001i	−0.176272	+	0.0279188i
$412$	0.0608983	+	0.187426i	0.00300024	+	0.00923380i
$413$	3.66128	+	11.2683i	0.180160	+	0.554474i
$414$	−0.906460	−	5.72316i	−0.0445501	−	0.281278i
$415$	−31.0678	+	22.5721i	−1.52506	+	1.10802i
$416$	2.44481	+	0.311133i	0.119867	+	0.0152545i
$417$			1.27033i			0.0622083i
$418$	−10.7732	−	21.6219i	−0.526933	−	1.05756i
$419$	24.2193			1.18319			0.591596	−	0.806235i	$-0.298498\pi$
$419$	24.2193			1.18319			0.591596	+	0.806235i	$0.298498\pi$
$420$	0.148258	−	0.456290i	0.00723423	−	0.0222647i
$421$	11.9519	+	1.89299i	0.582500	+	0.0922589i	0.440728	−	0.897641i	$-0.354720\pi$
$421$	11.9519	+	1.89299i	0.582500	+	0.0922589i	0.141771	+	0.989899i	$0.454720\pi$
$422$	−5.46512	−	34.5054i	−0.266038	−	1.67970i
$423$	−1.60953	−	0.820096i	−0.0782580	−	0.0398744i
$424$	7.15555	−	14.0436i	0.347504	−	0.682016i
$425$	12.5318	−	17.2486i	0.607883	−	0.836680i
$426$	14.8267	−	10.7722i	0.718355	−	0.521915i
$427$	1.01659	+	1.99518i	0.0491964	+	0.0965534i
$428$	−1.03768			−0.0501580
$429$	−1.61623	+	11.8485i	−0.0780324	+	0.572053i
$430$	−42.6908			−2.05874
$431$	−3.10865	−	6.10107i	−0.149738	−	0.293878i	0.803938	−	0.594713i	$-0.202735\pi$
$431$	−3.10865	−	6.10107i	−0.149738	−	0.293878i	−0.953676	+	0.300835i	$0.902735\pi$
$432$	−3.42000	+	2.48478i	−0.164545	+	0.119549i
$433$	8.35710	−	11.5026i	0.401617	−	0.552778i	−0.559532	−	0.828809i	$-0.689019\pi$
$433$	8.35710	−	11.5026i	0.401617	−	0.552778i	0.961149	+	0.276031i	$0.0890191\pi$
$434$	−0.520539	+	1.02161i	−0.0249867	+	0.0490391i
$435$	20.2194	+	10.3023i	0.969445	+	0.493957i
$436$	−0.173962	−	1.09836i	−0.00833129	−	0.0526017i
$437$	−19.6537	−	3.11284i	−0.940164	−	0.148907i
$438$	−2.16590	+	6.66596i	−0.103491	+	0.318512i
$439$	27.2827			1.30213			0.651067	−	0.759021i	$-0.274322\pi$
$439$	27.2827			1.30213			0.651067	+	0.759021i	$0.274322\pi$
$440$	−22.6956	−	11.8221i	−1.08197	−	0.563599i
$441$		−	5.02227i		−	0.239156i
$442$	37.6494	+	4.79135i	1.79080	+	0.227901i
$443$	10.5337	−	7.65318i	0.500471	−	0.363614i	−0.308726	−	0.951151i	$-0.599903\pi$
$443$	10.5337	−	7.65318i	0.500471	−	0.363614i	0.809197	+	0.587538i	$0.199903\pi$
$444$	−0.177867	−	1.12301i	−0.00844120	−	0.0532957i
$445$	−4.56188	−	14.0400i	−0.216254	−	0.665561i
$446$	−1.74738	−	5.37788i	−0.0827407	−	0.254650i
$447$	15.7401	−	2.49299i	0.744482	−	0.117914i
$448$	1.64101	−	10.3609i	0.0775302	−	0.489507i
$449$	8.20660	+	16.1064i	0.387293	+	0.760106i	0.999533	−	0.0305665i	$-0.00973113\pi$
$449$	8.20660	+	16.1064i	0.387293	+	0.760106i	−0.612239	+	0.790672i	$0.709731\pi$
$450$	3.03771	+	3.03771i	0.143199	+	0.143199i
$451$	−6.77973	−	0.0609460i	−0.319245	−	0.00286983i
$452$			1.09071i			0.0513026i
$453$	6.38245	−	3.25202i	0.299873	−	0.152793i
$454$	15.2181	+	20.9459i	0.714220	+	0.983039i
$455$	4.83046	+	13.4559i	0.226455	+	0.630820i
$456$	4.22920	+	13.0161i	0.198051	+	0.609537i
$457$	5.32553	+	2.71349i	0.249118	+	0.126932i	0.574091	−	0.818791i	$-0.305355\pi$
$457$	5.32553	+	2.71349i	0.249118	+	0.126932i	−0.324974	+	0.945723i	$0.605355\pi$
$458$	8.09129	−	11.1367i	0.378081	−	0.520384i
$459$	−5.84740	+	4.24839i	−0.272933	+	0.198298i
$460$	1.20942	−	0.616231i	0.0563895	−	0.0287319i
$461$	1.37209	−	1.37209i	0.0639047	−	0.0639047i	−0.674432	−	0.738337i	$-0.735611\pi$
$461$	1.37209	−	1.37209i	0.0639047	−	0.0639047i	0.738337	+	0.674432i	$0.235611\pi$
$462$	−6.69937	−	1.12290i	−0.311683	−	0.0522419i
$463$	29.3571	−	29.3571i	1.36434	−	1.36434i	0.496043	−	0.868298i	$-0.334786\pi$
$463$	29.3571	−	29.3571i	1.36434	−	1.36434i	0.868298	−	0.496043i	$-0.165214\pi$
$464$	−32.3582	−	10.5138i	−1.50219	−	0.488091i
$465$	−0.927788	−	1.27699i	−0.0430251	−	0.0592190i
$466$	15.1952	−	2.40668i	0.703903	−	0.111487i
$467$	8.78700	−	2.85507i	0.406614	−	0.132117i	−0.0985668	−	0.995130i	$-0.531426\pi$
$467$	8.78700	−	2.85507i	0.406614	−	0.132117i	0.505181	+	0.863014i	$0.331426\pi$
$468$	−0.122097	+	0.418825i	−0.00564393	+	0.0193602i
$469$	−5.37223	+	7.39424i	−0.248066	+	0.341434i
$470$	1.16037	−	7.32631i	0.0535241	−	0.337938i
$471$	2.27905	−	7.01420i	0.105013	−	0.323197i
$472$	23.0549			1.06119
$473$	5.08770	+	34.1039i	0.233933	+	1.56810i
$474$	−8.15343	−	8.15343i	−0.374499	−	0.374499i
$475$	13.1447	−	6.69755i	0.603119	−	0.307305i
$476$	−0.192395	+	1.21474i	−0.00881842	+	0.0556773i
$477$	4.65969	+	3.38546i	0.213352	+	0.155010i
$478$	−31.5453	+	10.2497i	−1.44285	+	0.468810i
$479$	−1.47512	+	2.89508i	−0.0673999	+	0.132280i	−0.922248	−	0.386598i	$-0.873650\pi$
$479$	−1.47512	+	2.89508i	−0.0673999	+	0.132280i	0.854848	+	0.518878i	$0.173650\pi$
$480$	−1.55919	−	1.13282i	−0.0711668	−	0.0517057i
$481$	24.6772	+	23.2161i	1.12518	+	1.05856i
$482$	−5.16768	+	15.9045i	−0.235381	+	0.724429i
$483$	−3.95653	+	3.95653i	−0.180029	+	0.180029i
$484$	0.433979	−	1.25822i	0.0197263	−	0.0571919i
$485$		−	17.0016i		−	0.772001i
$486$	−0.661175	−	1.29763i	−0.0299915	−	0.0588617i
$487$	−5.95230	−	0.942752i	−0.269725	−	0.0427202i	0.0201070	−	0.999798i	$-0.493599\pi$
$487$	−5.95230	−	0.942752i	−0.269725	−	0.0427202i	−0.289832	+	0.957078i	$0.593599\pi$
$488$	4.30362	−	0.681627i	0.194816	−	0.0308558i
$489$	−14.0567	−	7.16225i	−0.635666	−	0.323888i
$490$	19.6134	−	6.37279i	0.886045	−	0.287893i
$491$	35.5074	+	25.7977i	1.60243	+	1.16423i	0.882653	+	0.470024i	$0.155755\pi$
$491$	35.5074	+	25.7977i	1.60243	+	1.16423i	0.719775	+	0.694208i	$0.244245\pi$
$492$	−0.244302	−	0.0386936i	−0.0110140	−	0.00174444i
$493$	−55.3249	−	17.9762i	−2.49171	−	0.809605i
$494$	21.7069	+	14.7811i	0.976637	+	0.665034i
$495$	5.56437	−	7.51568i	0.250100	−	0.337805i
$496$	1.67342	+	1.67342i	0.0751389	+	0.0751389i
$497$	−16.8309	−	5.46868i	−0.754967	−	0.245304i
$498$	11.6591	+	16.0473i	0.522455	+	0.719098i
$499$	2.79280	+	17.6330i	0.125023	+	0.789362i	0.967915	+	0.251279i	$0.0808513\pi$
$499$	2.79280	+	17.6330i	0.125023	+	0.789362i	−0.842892	+	0.538083i	$0.819149\pi$
$500$	0.317538	−	0.623204i	0.0142007	−	0.0278705i
$501$	−5.99235	+	11.7607i	−0.267718	+	0.525427i
$502$	−3.41368	−	21.5531i	−0.152360	−	0.961963i
$503$	9.13171	+	12.5687i	0.407163	+	0.560412i	0.962524	−	0.271198i	$-0.0874198\pi$
$503$	9.13171	+	12.5687i	0.407163	+	0.560412i	−0.555361	+	0.831610i	$0.687420\pi$
$504$	3.66006	+	1.18922i	0.163032	+	0.0529723i
$505$	36.4950	+	36.4950i	1.62401	+	1.62401i
$506$	−11.1559	−	15.6488i	−0.495942	−	0.695672i
$507$	−4.76342	−	12.0959i	−0.211551	−	0.537196i
$508$	−2.05727	−	0.668449i	−0.0912767	−	0.0296576i
$509$	7.16998	+	1.13561i	0.317804	+	0.0503352i	0.313299	−	0.949655i	$-0.398566\pi$
$509$	7.16998	+	1.13561i	0.317804	+	0.0503352i	0.00450527	+	0.999990i	$0.498566\pi$
$510$	−24.0110	−	17.4450i	−1.06323	−	0.772479i
$511$	6.43690	−	2.09148i	0.284752	−	0.0925215i
$512$	−18.0401	−	9.19188i	−0.797267	−	0.406228i
$513$	−4.93968	+	0.782368i	−0.218092	+	0.0345424i
$514$	−36.9985	−	5.85999i	−1.63194	−	0.258473i
$515$	2.08485	+	4.09175i	0.0918694	+	0.180304i
$516$			1.25794i			0.0553777i
$517$	−5.99096	−	0.0538554i	−0.263482	−	0.00236856i
$518$	−13.6091	+	13.6091i	−0.597950	+	0.597950i
$519$	5.07140	−	15.6082i	0.222610	−	0.685122i
$520$	27.8064	−	0.848298i	1.21939	−	0.0372003i
$521$	12.3844	+	8.99780i	0.542571	+	0.394201i	0.825039	−	0.565076i	$-0.191153\pi$
$521$	12.3844	+	8.99780i	0.542571	+	0.394201i	−0.282468	+	0.959277i	$0.591153\pi$
$522$	5.32140	−	10.4438i	0.232911	−	0.457114i
$523$	−8.64491	+	2.80890i	−0.378016	+	0.122825i	−0.491861	−	0.870674i	$-0.663683\pi$
$523$	−8.64491	+	2.80890i	−0.378016	+	0.122825i	0.113845	+	0.993498i	$0.463683\pi$
$524$	−0.600819	−	0.436520i	−0.0262469	−	0.0190695i
$525$	0.648944	−	4.09727i	0.0283222	−	0.178820i
$526$	−33.5747	+	17.1072i	−1.46393	+	0.745908i
$527$	2.86116	+	2.86116i	0.124634	+	0.124634i
$528$	−6.47723	+	12.4347i	−0.281885	+	0.541150i
$529$	7.16959			0.311721
$530$	−7.30851	+	22.4933i	−0.317462	+	0.977046i
$531$	−1.31795	+	8.32120i	−0.0571941	+	0.361109i
$532$	−0.500212	+	0.688482i	−0.0216869	+	0.0298495i
$533$	6.46220	−	3.54490i	0.279909	−	0.153547i
$534$	−7.25204	+	2.35633i	−0.313826	+	0.101968i
$535$	−23.8829	+	3.78268i	−1.03255	+	0.163539i
$536$	10.4536	+	14.3882i	0.451529	+	0.621476i
$537$	15.3038	+	4.97251i	0.660409	+	0.214580i
$538$	12.6247	−	12.6247i	0.544290	−	0.544290i
$539$	−7.42839	−	14.9088i	−0.319963	−	0.642170i
$540$	0.241232	−	0.241232i	0.0103810	−	0.0103810i
$541$	−19.5530	+	9.96273i	−0.840648	+	0.428331i	−0.820624	−	0.571468i	$-0.806374\pi$
$541$	−19.5530	+	9.96273i	−0.840648	+	0.428331i	−0.0200233	+	0.999800i	$0.506374\pi$
$542$	0.452877	−	0.329034i	0.0194527	−	0.0141332i
$543$	−5.78019	+	7.95575i	−0.248052	+	0.341414i
$544$	4.40199	+	2.24293i	0.188734	+	0.0961647i
$545$	−8.00775	−	24.6453i	−0.343014	−	1.05569i
$546$	6.95030	−	2.49506i	0.297445	−	0.106779i
$547$	19.5800	+	26.9495i	0.837178	+	1.15228i	0.986544	+	0.163495i	$0.0522768\pi$
$547$	19.5800	+	26.9495i	0.837178	+	1.15228i	−0.149366	+	0.988782i	$0.547723\pi$
$548$	−0.390067	+	0.198749i	−0.0166628	+	0.00849013i
$549$			1.59227i			0.0679564i
$550$	13.5106	+	4.52454i	0.576095	+	0.192927i
$551$	−28.4625	−	28.4625i	−1.21254	−	1.21254i
$552$	4.94300	+	9.70118i	0.210388	+	0.412910i
$553$	−1.74181	+	10.9974i	−0.0740694	+	0.467656i
$554$	7.94119	−	1.25776i	0.337389	−	0.0534371i
$555$	−8.18749	−	25.1985i	−0.347540	−	1.06962i
$556$	0.0474976	+	0.146183i	0.00201435	+	0.00619952i
$557$	4.02830	+	25.4337i	0.170685	+	1.07766i	0.913105	+	0.407726i	$0.133678\pi$
$557$	4.02830	+	25.4337i	0.170685	+	1.07766i	−0.742420	+	0.669935i	$0.766322\pi$
$558$	−0.659599	+	0.479227i	−0.0279231	+	0.0202873i
$559$	−22.9477	−	29.6401i	−0.970584	−	1.25364i
$560$			16.7622i			0.708331i
$561$	−11.0746	+	21.2604i	−0.467568	+	0.897614i
$562$	−4.27196			−0.180202
$563$	−2.48909	+	7.66063i	−0.104903	+	0.322857i	−0.989708	−	0.143105i	$-0.954291\pi$
$563$	−2.48909	+	7.66063i	−0.104903	+	0.322857i	0.884805	+	0.465962i	$0.154291\pi$
$564$	−0.215879	−	0.0341919i	−0.00909015	−	0.00143974i
$565$	3.97600	+	25.1035i	0.167272	+	1.05611i
$566$	27.2788	+	13.8993i	1.14661	+	0.584229i
$567$	−0.638456	+	1.25304i	−0.0268126	+	0.0526227i
$568$	−20.2410	+	27.8594i	−0.849294	+	1.16895i
$569$	30.4361	−	22.1131i	1.27595	−	0.927031i	0.276526	−	0.961006i	$-0.410817\pi$
$569$	30.4361	−	22.1131i	1.27595	−	0.927031i	0.999423	+	0.0339755i	$0.0108168\pi$
$570$	−9.32337	−	18.2982i	−0.390513	−	0.766425i
$571$	6.98471			0.292301			0.146150	−	0.989262i	$-0.453312\pi$
$571$	6.98471			0.292301			0.146150	+	0.989262i	$0.453312\pi$
$572$	0.257029	+	1.42389i	0.0107469	+	0.0595360i
$573$	−10.7295			−0.448231
$574$	1.90079	+	3.73051i	0.0793375	+	0.155709i
$575$	9.49499	−	6.89851i	0.395968	−	0.287688i
$576$	4.38442	−	6.03464i	0.182684	−	0.251443i
$577$	15.4666	−	30.3549i	0.643882	−	1.26369i	−0.306283	−	0.951941i	$-0.599085\pi$
$577$	15.4666	−	30.3549i	0.643882	−	1.26369i	0.950165	−	0.311749i	$-0.100915\pi$
$578$	45.7296	+	23.3004i	1.90210	+	0.969169i
$579$	−0.319290	−	2.01592i	−0.0132692	−	0.0837786i
$580$	2.71194	+	0.429528i	0.112607	+	0.0178352i
$581$	5.91890	−	18.2165i	0.245557	−	0.755748i
$582$	−8.78175			−0.364015
$583$	18.8399	+	3.15781i	0.780270	+	0.130783i
$584$		−	13.1700i		−	0.544977i
$585$	−1.28339	+	10.0846i	−0.0530619	+	0.416949i
$586$	36.0922	−	26.2225i	1.49095	−	1.08324i
$587$	5.09910	+	32.1945i	0.210462	+	1.32881i	0.836050	+	0.548653i	$0.184859\pi$
$587$	5.09910	+	32.1945i	0.210462	+	1.32881i	−0.625587	+	0.780154i	$0.715141\pi$
$588$	−0.187782	−	0.577935i	−0.00774401	−	0.0238336i
$589$	0.865194	+	2.66279i	0.0356497	+	0.109718i
$590$	−34.1691	+	5.41186i	−1.40672	+	0.222803i
$591$	−3.52108	+	22.2312i	−0.144838	+	0.914470i
$592$	18.0346	+	35.3948i	0.741216	+	1.45472i
$593$	−2.66103	−	2.66103i	−0.109275	−	0.109275i	0.650355	−	0.759630i	$-0.274620\pi$
$593$	−2.66103	−	2.66103i	−0.109275	−	0.109275i	−0.759630	+	0.650355i	$0.774620\pi$
$594$	−3.88205	−	2.87414i	−0.159282	−	0.117927i
$595$			28.6594i			1.17492i
$596$	1.71807	−	0.875401i	0.0703750	−	0.0358578i
$597$	3.83549	+	5.27910i	0.156976	+	0.216059i
$598$	18.8958	+	8.91289i	0.772707	+	0.364475i
$599$	4.25220	+	13.0869i	0.173740	+	0.534717i	0.999574	−	0.0291969i	$-0.00929497\pi$
$599$	4.25220	+	13.0869i	0.173740	+	0.534717i	−0.825834	+	0.563914i	$0.809295\pi$
$600$	−7.19232	−	3.66467i	−0.293625	−	0.149610i
$601$	9.59975	−	13.2129i	0.391582	−	0.538966i	−0.567024	−	0.823701i	$-0.691905\pi$
$601$	9.59975	−	13.2129i	0.391582	−	0.538966i	0.958606	+	0.284735i	$0.0919055\pi$
$602$	17.2266	−	12.5158i	0.702102	−	0.510107i
$603$	−5.79072	+	2.95052i	−0.235816	+	0.120154i
$604$	0.612864	−	0.612864i	0.0249371	−	0.0249371i
$605$	5.40172	−	30.5409i	0.219611	−	1.24166i
$606$	18.8506	−	18.8506i	0.765754	−	0.765754i
$607$	−20.8861	−	6.78629i	−0.847739	−	0.275447i	−0.147240	−	0.989101i	$-0.547039\pi$
$607$	−20.8861	−	6.78629i	−0.847739	−	0.275447i	−0.700499	+	0.713654i	$0.747039\pi$
$608$	2.00937	+	2.76566i	0.0814908	+	0.112162i
$609$	−11.1793	+	1.77062i	−0.453006	+	0.0717492i
$610$	−6.21828	+	2.02044i	−0.251771	+	0.0818054i
$611$	5.71038	−	3.13248i	0.231017	−	0.126727i
$612$	−0.514040	+	0.707515i	−0.0207788	+	0.0285996i
$613$	−2.40097	+	15.1591i	−0.0969742	+	0.612271i	0.890560	+	0.454866i	$0.150313\pi$
$613$	−2.40097	+	15.1591i	−0.0969742	+	0.612271i	−0.987534	+	0.157405i	$0.949687\pi$
$614$	−0.112707	+	0.346877i	−0.00454850	+	0.0139988i
$615$	−5.76383			−0.232420
$616$	12.6240	−	1.88329i	0.508637	−	0.0758798i
$617$	−15.9508	−	15.9508i	−0.642154	−	0.642154i	0.308931	−	0.951085i	$-0.400029\pi$
$617$	−15.9508	−	15.9508i	−0.642154	−	0.642154i	−0.951085	+	0.308931i	$0.900029\pi$
$618$	2.11349	−	1.07688i	0.0850172	−	0.0433184i
$619$	−2.70712	+	17.0921i	−0.108808	+	0.686988i	0.871631	+	0.490163i	$0.163063\pi$
$619$	−2.70712	+	17.0921i	−0.108808	+	0.686988i	−0.980439	+	0.196824i	$0.936937\pi$
$620$	−0.154511	−	0.112259i	−0.00620533	−	0.00450843i
$621$	−3.78401	+	1.22950i	−0.151847	+	0.0493381i
$622$	7.42354	−	14.5695i	0.297657	−	0.584184i
$623$	5.95697	+	4.32799i	0.238661	+	0.173397i
$624$	−0.464774	−	15.2348i	−0.0186058	−	0.609882i
$625$	9.59426	−	29.5281i	0.383771	−	1.18112i
$626$	−19.2052	+	19.2052i	−0.767596	+	0.767596i
$627$	−13.5065	+	9.62873i	−0.539397	+	0.384534i
$628$		−	0.892369i		−	0.0356094i
$629$	30.8349	+	60.5169i	1.22947	+	2.41297i
$630$	−5.70363	−	0.903367i	−0.227238	−	0.0359910i
$631$	−34.3391	+	5.43879i	−1.36702	+	0.216515i	−0.796435	−	0.604724i	$-0.793283\pi$
$631$	−34.3391	+	5.43879i	−1.36702	+	0.216515i	−0.570585	+	0.821239i	$0.693283\pi$
$632$	19.3047	+	9.83625i	0.767901	+	0.391265i
$633$	−22.8141	+	7.41276i	−0.906780	+	0.294631i
$634$	−1.41990	−	1.03162i	−0.0563916	−	0.0409709i
$635$	−49.7864	−	7.88539i	−1.97571	−	0.312922i
$636$	0.662793	+	0.215355i	0.0262815	+	0.00853936i
$637$	14.9675	+	10.1920i	0.593032	+	0.403821i
$638$	0.349454	−	38.8739i	0.0138350	−	1.53903i
$639$	−8.89818	−	8.89818i	−0.352007	−	0.352007i
$640$	32.7964	+	10.6562i	1.29639	+	0.421223i
$641$	−29.7407	−	40.9346i	−1.17469	−	1.61682i	−0.618689	−	0.785636i	$-0.712336\pi$
$641$	−29.7407	−	40.9346i	−1.17469	−	1.61682i	−0.555999	−	0.831183i	$-0.687664\pi$
$642$	1.95385	+	12.3361i	0.0771124	+	0.486868i
$643$	−2.04724	+	4.01794i	−0.0807353	+	0.158452i	−0.927845	−	0.372966i	$-0.878341\pi$
$643$	−2.04724	+	4.01794i	−0.0807353	+	0.158452i	0.847110	+	0.531418i	$0.178341\pi$
$644$	−0.307361	+	0.603231i	−0.0121117	+	0.0237706i
$645$	4.58561	+	28.9524i	0.180558	+	1.14000i
$646$	30.9437	+	42.5904i	1.21746	+	1.67570i
$647$	−30.7364	−	9.98688i	−1.20837	−	0.392625i	−0.365539	−	0.930796i	$-0.619115\pi$
$647$	−30.7364	−	9.98688i	−1.20837	−	0.392625i	−0.842835	+	0.538171i	$0.819115\pi$
$648$	1.93501	+	1.93501i	0.0760143	+	0.0760143i
$649$	8.39542	+	26.6513i	0.329549	+	1.04615i
$650$	−15.2176	+	2.88844i	−0.596884	+	0.113294i
$651$	0.748760	+	0.243287i	0.0293462	+	0.00953516i
$652$	−1.88536	−	0.298612i	−0.0738366	−	0.0116946i
$653$	−5.68280	−	4.12879i	−0.222385	−	0.161572i	0.471015	−	0.882125i	$-0.343888\pi$
$653$	−5.68280	−	4.12879i	−0.222385	−	0.161572i	−0.693400	+	0.720553i	$0.743888\pi$
$654$	−12.7299	+	4.13621i	−0.497780	+	0.161739i
$655$	−15.4195	−	7.85665i	−0.602492	−	0.306985i
$656$	8.53537	−	1.35187i	0.333250	−	0.0527816i
$657$	4.75342	+	0.752869i	0.185449	+	0.0293722i
$658$	1.67965	+	3.29650i	0.0654795	+	0.128511i
$659$		−	29.8247i		−	1.16180i	−0.813973	−	0.580902i	$-0.802700\pi$
$659$		−	29.8247i		−	1.16180i	0.813973	−	0.580902i	$-0.197300\pi$
$660$	0.359306	−	1.07291i	0.0139859	−	0.0417632i
$661$	20.6654	−	20.6654i	0.803791	−	0.803791i	−0.179895	−	0.983686i	$-0.557576\pi$
$661$	20.6654	−	20.6654i	0.803791	−	0.803791i	0.983686	+	0.179895i	$0.0575758\pi$
$662$	−10.4700	+	32.2233i	−0.406928	+	1.25239i
$663$	−0.794655	−	26.0480i	−0.0308618	−	1.01162i
$664$	−30.1530	−	21.9074i	−1.17016	−	0.850173i
$665$	−9.00300	+	17.6694i	−0.349121	+	0.685189i
$666$	−13.0157	+	4.22905i	−0.504347	+	0.163872i
$667$	−25.9067	−	18.8223i	−1.00311	−	0.728804i
$668$	−0.249836	+	1.57740i	−0.00966646	+	0.0610316i
$669$	−3.45952	+	1.76271i	−0.133753	+	0.0681504i
$670$	−18.8705	−	18.8705i	−0.729033	−	0.729033i
$671$	2.35511	+	4.72673i	0.0909181	+	0.182473i
$672$	0.961273			0.0370819
$673$	−7.47374	+	23.0018i	−0.288092	+	0.886655i	0.697363	+	0.716718i	$0.254356\pi$
$673$	−7.47374	+	23.0018i	−0.288092	+	0.886655i	−0.985455	+	0.169937i	$0.945644\pi$
$674$	2.90291	−	18.3282i	0.111816	−	0.705977i
$675$	1.73384	−	2.38643i	0.0667356	−	0.0918537i
$676$	−1.00041	−	1.21382i	−0.0384774	−	0.0466854i
$677$	13.4447	−	4.36845i	0.516723	−	0.167893i	−0.0390349	−	0.999238i	$-0.512428\pi$
$677$	13.4447	−	4.36845i	0.516723	−	0.167893i	0.555757	+	0.831345i	$0.312428\pi$
$678$	12.9666	−	2.05371i	0.497979	−	0.0788722i
$679$	4.98441	+	6.86045i	0.191284	+	0.263280i
$680$	53.0380	+	17.2331i	2.03391	+	0.660859i
$681$	12.5706	−	12.5706i	0.481707	−	0.481707i
$682$	−1.24923	+	2.39822i	−0.0478356	+	0.0918324i
$683$	−25.9605	+	25.9605i	−0.993352	+	0.993352i	−0.999978	−	0.00662583i	$-0.997891\pi$
$683$	−25.9605	+	25.9605i	−0.993352	+	0.993352i	0.00662583	+	0.999978i	$0.497891\pi$
$684$	−0.539178	+	0.274725i	−0.0206160	+	0.0105044i
$685$	−8.25316	+	5.99627i	−0.315337	+	0.229106i
$686$	−14.4730	+	19.9204i	−0.552582	+	0.760564i
$687$	−8.42190	−	4.29117i	−0.321315	−	0.163718i
$688$	−13.5812	−	41.7986i	−0.517778	−	1.59356i
$689$	−19.5456	+	7.01658i	−0.744627	+	0.267310i
$690$	−9.60312	−	13.2176i	−0.365585	−	0.503184i
$691$	23.8560	−	12.1552i	0.907524	−	0.462406i	0.0630542	−	0.998010i	$-0.479916\pi$
$691$	23.8560	−	12.1552i	0.907524	−	0.462406i	0.844469	+	0.535604i	$0.179916\pi$
$692$		−	1.98572i		−	0.0754858i
$693$	−0.0419271	+	4.66405i	−0.00159268	+	0.177172i
$694$	10.2393	+	10.2393i	0.388677	+	0.388677i
$695$	1.62608	+	3.19136i	0.0616806	+	0.121055i
$696$	−3.44540	+	21.7534i	−0.130597	+	0.824559i
$697$	14.5935	−	2.31138i	0.552768	−	0.0875498i
$698$	9.44895	+	29.0809i	0.357648	+	1.10073i
$699$	−3.26436	−	10.0467i	−0.123469	−	0.380000i
$700$	−0.0785199	−	0.495755i	−0.00296777	−	0.0187378i
$701$	23.5337	−	17.0982i	0.888855	−	0.645791i	−0.0467241	−	0.998908i	$-0.514878\pi$
$701$	23.5337	−	17.0982i	0.888855	−	0.645791i	0.935579	+	0.353117i	$0.114878\pi$
$702$	5.20898	+	0.662907i	0.196600	+	0.0250198i
$703$			46.9969i			1.77252i
$704$	4.08959	−	24.3991i	0.154132	−	0.919575i
$705$	−5.09326			−0.191823
$706$	12.1191	−	37.2988i	0.456109	−	1.40376i
$707$	−25.4258	−	4.02705i	−0.956235	−	0.151453i
$708$	0.159467	+	1.00684i	0.00599314	+	0.0378392i
$709$	30.0924	+	15.3328i	1.13014	+	0.575837i	0.916085	−	0.400984i	$-0.131332\pi$
$709$	30.0924	+	15.3328i	1.13014	+	0.575837i	0.214058	+	0.976821i	$0.431332\pi$
$710$	23.4591	−	46.0410i	0.880403	−	1.72789i
$711$	−4.65376	+	6.40535i	−0.174530	+	0.240219i
$712$	11.5915	−	8.42170i	0.434409	−	0.315617i
$713$	1.01122	+	1.98463i	0.0378704	+	0.0743249i
$714$	14.8033			0.554000
$715$	11.1063	+	31.8350i	0.415352	+	1.19056i
$716$	1.94700			0.0727629
$717$	10.3396	+	20.2927i	0.386141	+	0.757844i
$718$	−9.57573	+	6.95718i	−0.357363	+	0.259639i
$719$	5.08282	−	6.99591i	0.189557	−	0.260903i	−0.703652	−	0.710545i	$-0.748448\pi$
$719$	5.08282	−	6.99591i	0.189557	−	0.260903i	0.893209	+	0.449642i	$0.148448\pi$
$720$	−5.41119	+	10.6201i	−0.201663	+	0.395786i
$721$	−2.04087	−	1.03987i	−0.0760059	−	0.0387269i
$722$	1.36980	+	8.64859i	0.0509788	+	0.321867i
$723$	11.3413	+	1.79629i	0.421788	+	0.0668046i
$724$	−0.367687	+	1.13163i	−0.0136650	+	0.0420565i
$725$	23.7410			0.881720
$726$	−15.7752	−	2.79013i	−0.585471	−	0.103551i
$727$			32.4388i			1.20309i	0.798840	+	0.601544i	$0.205448\pi$
$727$			32.4388i			1.20309i	−0.798840	+	0.601544i	$0.794552\pi$
$728$	−10.9717	+	8.49441i	−0.406639	+	0.314824i
$729$	−0.809017	+	0.587785i	−0.0299636	+	0.0217698i
$730$	3.09148	+	19.5189i	0.114421	+	0.722425i
$731$	−23.2207	−	71.4659i	−0.858847	−	2.64326i
$732$	0.0595349	+	0.183230i	0.00220047	+	0.00677236i
$733$	12.5385	−	1.98590i	0.463119	−	0.0733508i	0.0794848	−	0.996836i	$-0.474672\pi$
$733$	12.5385	−	1.98590i	0.463119	−	0.0733508i	0.383634	+	0.923485i	$0.374672\pi$
$734$	−0.468291	+	2.95667i	−0.0172849	+	0.109133i
$735$	−6.42872	−	12.6171i	−0.237127	−	0.465387i
$736$	1.92306	+	1.92306i	0.0708851	+	0.0708851i
$737$	−12.8260	+	17.3238i	−0.472450	+	0.638129i
$738$			2.97717i			0.109591i
$739$	18.5880	−	9.47105i	0.683770	−	0.348398i	−0.0773547	−	0.997004i	$-0.524647\pi$
$739$	18.5880	−	9.47105i	0.683770	−	0.348398i	0.761125	+	0.648605i	$0.224647\pi$
$740$	−1.88434	−	2.59357i	−0.0692698	−	0.0953417i
$741$	7.69274	−	16.3090i	0.282600	−	0.599127i
$742$	−3.64532	−	11.2191i	−0.133824	−	0.411867i
$743$	−4.55335	−	2.32005i	−0.167046	−	0.0851143i	0.368468	−	0.929640i	$-0.379882\pi$
$743$	−4.55335	−	2.32005i	−0.167046	−	0.0851143i	−0.535515	+	0.844526i	$0.679882\pi$
$744$	0.900469	−	1.23939i	0.0330128	−	0.0454382i
$745$	36.3516	−	26.4110i	1.33182	−	0.967623i
$746$	−32.7757	+	16.7001i	−1.20000	+	0.611433i
$747$	9.63074	−	9.63074i	0.352371	−	0.352371i
$748$	−0.479473	+	2.86061i	−0.0175313	+	0.104594i
$749$	8.52821	−	8.52821i	0.311614	−	0.311614i
$750$	−8.00669	−	2.60153i	−0.292363	−	0.0949945i
$751$	−25.2649	−	34.7742i	−0.921930	−	1.26893i	−0.962925	−	0.269769i	$-0.913053\pi$
$751$	−25.2649	−	34.7742i	−0.921930	−	1.26893i	0.0409951	−	0.999159i	$-0.486947\pi$
$752$	7.54234	−	1.19459i	0.275041	−	0.0435622i
$753$	−14.2504	+	4.63023i	−0.519313	+	0.168735i
$754$	20.3259	+	37.0532i	0.740225	+	1.34940i
$755$	11.8714	−	16.3396i	0.432045	−	0.594659i
$756$	−0.0266188	+	0.168065i	−0.000968118	+	0.00611246i
$757$	6.98013	−	21.4826i	0.253697	−	0.780800i	−0.740386	−	0.672182i	$-0.765357\pi$
$757$	6.98013	−	21.4826i	0.253697	−	0.780800i	0.994084	−	0.108618i	$-0.0346426\pi$
$758$	6.68482			0.242804
$759$	−9.41448	+	9.24673i	−0.341724	+	0.335635i
$760$	27.2859	+	27.2859i	0.989765	+	0.989765i
$761$	8.59467	−	4.37920i	0.311556	−	0.158746i	−0.291220	−	0.956656i	$-0.594061\pi$
$761$	8.59467	−	4.37920i	0.311556	−	0.158746i	0.602776	+	0.797910i	$0.294061\pi$
$762$	−4.07301	+	25.7160i	−0.147550	+	0.931591i
$763$	10.4566	+	7.59719i	0.378556	+	0.275037i
$764$	−1.23469	+	0.401175i	−0.0446695	+	0.0145140i
$765$	−9.25188	+	18.1578i	−0.334502	+	0.656498i
$766$	9.92299	+	7.20947i	0.358532	+	0.260489i
$767$	−22.1244	−	20.8145i	−0.798867	−	0.751567i
$768$	0.894141	−	2.75188i	0.0322645	−	0.0993000i
$769$	7.78990	−	7.78990i	0.280911	−	0.280911i	−0.552561	−	0.833472i	$-0.686350\pi$
$769$	7.78990	−	7.78990i	0.280911	−	0.280911i	0.833472	+	0.552561i	$0.186350\pi$
$770$	−18.2677	+	5.75451i	−0.658322	+	0.207378i
$771$			25.7214i			0.926333i
$772$	−0.112117	−	0.220042i	−0.00403518	−	0.00791950i
$773$	−20.4208	−	3.23433i	−0.734483	−	0.116331i	−0.222023	−	0.975041i	$-0.571266\pi$
$773$	−20.4208	−	3.23433i	−0.734483	−	0.116331i	−0.512461	+	0.858711i	$0.671266\pi$
$774$	14.9547	−	2.36859i	0.537535	−	0.0851371i
$775$	−1.47138	−	0.749704i	−0.0528534	−	0.0269302i
$776$	15.6933	−	5.09907i	0.563357	−	0.183046i
$777$	10.6913	+	7.76771i	0.383550	+	0.278665i
$778$	−30.8333	−	4.88352i	−1.10543	−	0.175083i
$779$	9.72341	+	3.15933i	0.348377	+	0.113195i
$780$	0.229379	+	1.20847i	0.00821307	+	0.0432702i
$781$	−39.5759	−	13.2535i	−1.41614	−	0.474246i
$782$	29.6146	+	29.6146i	1.05902	+	1.05902i
$783$	−7.65447	−	2.48709i	−0.273549	−	0.0888813i
$784$	12.4792	+	17.1762i	0.445686	+	0.613434i
$785$	−3.25298	−	20.5385i	−0.116104	−	0.733051i
$786$	−4.05817	+	7.96460i	−0.144750	+	0.284088i
$787$	3.19085	−	6.26239i	0.113741	−	0.223230i	−0.827117	−	0.562029i	$-0.810021\pi$
$787$	3.19085	−	6.26239i	0.113741	−	0.223230i	0.940859	+	0.338799i	$0.110021\pi$
$788$	0.426038	+	2.68990i	0.0151770	+	0.0958237i
$789$	15.2083	+	20.9324i	0.541429	+	0.745213i
$790$	−30.9200	−	10.0465i	−1.10008	−	0.357439i
$791$	−8.96407	−	8.96407i	−0.318726	−	0.318726i
$792$	8.60622	+	2.88211i	0.305809	+	0.102411i
$793$	−4.74531	−	3.23128i	−0.168511	−	0.114746i
$794$	−7.46713	−	2.42622i	−0.264998	−	0.0861032i
$795$	16.0397	+	2.54044i	0.568870	+	0.0901002i
$796$	0.638752	+	0.464081i	0.0226400	+	0.0164489i
$797$	27.9616	−	9.08526i	0.990449	−	0.321816i	0.231406	−	0.972857i	$-0.425667\pi$
$797$	27.9616	−	9.08526i	0.990449	−	0.321816i	0.759043	+	0.651041i	$0.225667\pi$
$798$	9.12669	+	4.65028i	0.323081	+	0.164618i
$799$	12.8956	−	2.04247i	0.456215	−	0.0722574i
$800$	−1.99147	−	0.315418i	−0.0704091	−	0.0111517i
$801$	2.37701	+	4.66514i	0.0839874	+	0.164835i
$802$			16.7864i			0.592748i
$803$	15.2243	−	4.79582i	0.537255	−	0.169241i
$804$	−0.556044	+	0.556044i	−0.0196102	+	0.0196102i
$805$	−4.87517	+	15.0042i	−0.171827	+	0.528830i
$806$	−0.0896387	−	2.93827i	−0.00315739	−	0.103496i
$807$	−9.91799	−	7.20584i	−0.349130	−	0.253658i
$808$	−22.7413	+	44.6323i	−0.800035	+	1.57016i
$809$	−1.32557	+	0.430703i	−0.0466045	+	0.0151427i	−0.332226	−	0.943200i	$-0.607800\pi$
$809$	−1.32557	+	0.430703i	−0.0466045	+	0.0151427i	0.285622	+	0.958342i	$0.407800\pi$
$810$	−3.32204	−	2.41361i	−0.116725	−	0.0848055i
$811$	4.75916	−	30.0482i	0.167117	−	1.05513i	−0.751427	−	0.659816i	$-0.770634\pi$
$811$	4.75916	−	30.0482i	0.167117	−	1.05513i	0.918544	−	0.395318i	$-0.129366\pi$
$812$	−1.22024	+	0.621745i	−0.0428222	+	0.0218190i
$813$	−0.271792	−	0.271792i	−0.00953217	−	0.00953217i
$814$	−32.3825	+	31.8055i	−1.13501	+	1.11478i
$815$	−44.4816			−1.55812
$816$	9.44183	−	29.0590i	0.330530	−	1.01727i
$817$	8.13389	−	51.3553i	0.284569	−	1.79670i
$818$	11.9531	−	16.4521i	0.417931	−	0.575232i
$819$	−2.43868	−	4.44560i	−0.0852143	−	0.155342i
$820$	−0.663270	+	0.215510i	−0.0231624	+	0.00752592i
$821$	−27.3528	+	4.33225i	−0.954618	+	0.151197i	−0.614264	−	0.789101i	$-0.710547\pi$
$821$	−27.3528	+	4.33225i	−0.954618	+	0.151197i	−0.340354	+	0.940297i	$0.610547\pi$
$822$	3.09723	+	4.26297i	0.108028	+	0.148688i
$823$	39.3580	+	12.7882i	1.37193	+	0.445768i	0.900009	−	0.435871i	$-0.143560\pi$
$823$	39.3580	+	12.7882i	1.37193	+	0.445768i	0.471924	+	0.881639i	$0.343560\pi$
$824$	−3.15161	+	3.15161i	−0.109792	+	0.109792i
$825$	1.61725	−	9.64874i	0.0563054	−	0.335926i
$826$	12.2013	−	12.2013i	0.424537	−	0.424537i
$827$	−3.33622	+	1.69989i	−0.116012	+	0.0591110i	−0.511033	−	0.859561i	$-0.670737\pi$
$827$	−3.33622	+	1.69989i	−0.116012	+	0.0591110i	0.395021	+	0.918672i	$0.370737\pi$
$828$	−0.389472	+	0.282968i	−0.0135351	+	0.00983382i
$829$	14.8898	−	20.4941i	0.517145	−	0.711789i	−0.467959	−	0.883750i	$-0.655010\pi$
$829$	14.8898	−	20.4941i	0.517145	−	0.711789i	0.985104	+	0.171961i	$0.0550105\pi$
$830$	49.8314	+	25.3904i	1.72967	+	0.881313i
$831$	−1.70600	−	5.25052i	−0.0591803	−	0.182138i
$832$	9.08699	+	25.3130i	0.315035	+	0.877570i
$833$	21.3365	+	29.3672i	0.739267	+	1.01751i
$834$	1.64842	−	0.839911i	0.0570801	−	0.0290837i
$835$			37.2159i			1.28791i
$836$	−1.19423	+	1.61303i	−0.0413034	+	0.0557877i
$837$	0.395856	+	0.395856i	0.0136828	+	0.0136828i
$838$	−16.0132	−	31.4277i	−0.553168	−	1.08565i
$839$	2.99338	−	18.8994i	0.103343	−	0.652481i	−0.880581	−	0.473895i	$-0.842848\pi$
$839$	2.99338	−	18.8994i	0.103343	−	0.652481i	0.983924	−	0.178586i	$-0.0571524\pi$
$840$	10.7171	−	1.69743i	0.369777	−	0.0585669i
$841$	−11.0556	−	34.0256i	−0.381227	−	1.17330i
$842$	−5.44589	−	16.7607i	−0.187678	−	0.577613i
$843$	0.458870	+	2.89719i	0.0158043	+	0.0997845i
$844$	−2.34816	+	1.70604i	−0.0808270	+	0.0587243i
$845$	−27.4500	−	24.2902i	−0.944309	−	0.835607i
$846$			2.63080i			0.0904488i
$847$	6.77409	+	13.9075i	0.232760	+	0.477866i
$848$	−24.3482			−0.836122
$849$	6.49617	−	19.9931i	0.222948	−	0.686163i
$850$	−30.6680	−	4.85734i	−1.05190	−	0.166605i
$851$	5.84883	+	36.9281i	0.200495	+	1.26588i
$852$	−1.35666	−	0.691251i	−0.0464783	−	0.0236819i
$853$	7.32735	−	14.3807i	0.250884	−	0.492387i	−0.730877	−	0.682510i	$-0.760889\pi$
$853$	7.32735	−	14.3807i	0.250884	−	0.492387i	0.981760	+	0.190123i	$0.0608885\pi$
$854$	1.91685	−	2.63832i	0.0655934	−	0.0902816i
$855$	−11.4081	+	8.28848i	−0.390149	+	0.283460i
$856$	−10.6545	−	20.9107i	−0.364164	−	0.714711i
$857$	−30.8506			−1.05384			−0.526918	−	0.849916i	$-0.676653\pi$
$857$	−30.8506			−1.05384			−0.526918	+	0.849916i	$0.676653\pi$
$858$	16.4436	−	5.73669i	0.561376	−	0.195847i
$859$	31.6096			1.07851			0.539253	−	0.842144i	$-0.318707\pi$
$859$	31.6096			1.07851			0.539253	+	0.842144i	$0.318707\pi$
$860$	1.61022	+	3.16023i	0.0549079	+	0.107763i
$861$	2.32582	−	1.68980i	0.0792636	−	0.0575884i
$862$	−5.86156	+	8.06775i	−0.199646	+	0.274789i
$863$	4.09425	−	8.03541i	0.139370	−	0.273529i	−0.810763	−	0.585375i	$-0.800947\pi$
$863$	4.09425	−	8.03541i	0.139370	−	0.273529i	0.950133	+	0.311846i	$0.100947\pi$
$864$	0.609037	+	0.310320i	0.0207199	+	0.0105573i
$865$	−7.23862	−	45.7028i	−0.246120	−	1.55394i
$866$	−20.4516	−	3.23921i	−0.694973	−	0.110073i
$867$	10.8900	−	33.5161i	0.369845	−	1.13827i
$868$	0.0952597			0.00323332
$869$	−4.34082	+	25.8979i	−0.147252	+	0.878527i
$870$		−	33.0489i		−	1.12046i
$871$	2.95825	−	23.2453i	0.100236	−	0.787636i
$872$	20.3472	−	14.7831i	0.689045	−	0.500620i
$873$	0.943286	+	5.95567i	0.0319254	+	0.201569i
$874$	8.95523	+	27.5614i	0.302915	+	0.932278i
$875$	2.51214	+	7.73156i	0.0849257	+	0.261374i
$876$	0.575148	−	0.0910944i	0.0194324	−	0.00307780i
$877$	2.40767	−	15.2015i	0.0813014	−	0.513317i	−0.913108	−	0.407719i	$-0.866324\pi$
$877$	2.40767	−	15.2015i	0.0813014	−	0.513317i	0.994409	−	0.105598i	$-0.0336757\pi$
$878$	−18.0387	−	35.4029i	−0.608775	−	1.19479i
$879$	−21.6606	−	21.6606i	−0.730594	−	0.730594i
$880$	−0.355351	+	39.5298i	−0.0119789	+	1.33255i
$881$			28.2815i			0.952827i	0.879221	+	0.476413i	$0.158063\pi$
$881$			28.2815i			0.952827i	−0.879221	+	0.476413i	$0.841937\pi$
$882$	−6.51704	+	3.32060i	−0.219440	+	0.111810i
$883$	1.26060	+	1.73507i	0.0424225	+	0.0583896i	0.829701	−	0.558208i	$-0.188511\pi$
$883$	1.26060	+	1.73507i	0.0424225	+	0.0583896i	−0.787279	+	0.616597i	$0.788511\pi$
$884$	−1.06538	−	2.96775i	−0.0358326	−	0.0998163i
$885$	7.34051	+	22.5918i	0.246749	+	0.759414i
$886$	−16.8956	−	8.60875i	−0.567619	−	0.289217i
$887$	−0.229732	+	0.316199i	−0.00771365	+	0.0106169i	−0.812856	−	0.582464i	$-0.802089\pi$
$887$	−0.229732	+	0.316199i	−0.00771365	+	0.0106169i	0.805143	+	0.593081i	$0.202089\pi$
$888$	20.8040	−	15.1150i	0.698135	−	0.507225i
$889$	22.4015	−	11.4142i	0.751323	−	0.382818i
$890$	−15.2025	+	15.2025i	−0.509591	+	0.509591i
$891$	−1.53222	+	2.94148i	−0.0513313	+	0.0985433i
$892$	−0.332194	+	0.332194i	−0.0111227	+	0.0111227i
$893$	8.59217	+	2.79176i	0.287526	+	0.0934228i
$894$	−13.6419	−	18.7765i	−0.456255	−	0.627981i
$895$	44.8117	−	7.09748i	1.49789	−	0.237242i
$896$	−16.3581	+	5.31506i	−0.546484	+	0.177564i
$897$	4.01493	−	13.7723i	0.134055	−	0.459843i
$898$	15.4741	−	21.2983i	0.516377	−	0.710732i
$899$	−0.704845	+	4.45022i	−0.0235079	+	0.148423i
$900$	0.110292	−	0.339445i	0.00367641	−	0.0113148i
$901$	−41.6298			−1.38689
$902$	4.40351	+	8.83788i	0.146621	+	0.294269i
$903$	−10.3385	−	10.3385i	−0.344043	−	0.344043i
$904$	−21.9793	+	11.1990i	−0.731022	+	0.372474i
$905$	−4.33744	+	27.3855i	−0.144182	+	0.910326i
$906$	−8.43983	−	6.13190i	−0.280395	−	0.203719i
$907$	−6.15311	+	1.99927i	−0.204311	+	0.0663846i	−0.409385	−	0.912362i	$-0.634257\pi$
$907$	−6.15311	+	1.99927i	−0.204311	+	0.0663846i	0.205074	+	0.978747i	$0.434257\pi$
$908$	0.976541	−	1.91657i	0.0324077	−	0.0636036i
$909$	−14.8091	−	10.7594i	−0.491186	−	0.356868i
$910$	14.2669	−	15.1648i	0.472945	−	0.502709i
$911$	−5.41240	+	16.6577i	−0.179321	+	0.551893i	−0.999804	−	0.0197774i	$-0.993704\pi$
$911$	−5.41240	+	16.6577i	−0.179321	+	0.551893i	0.820484	+	0.571670i	$0.193704\pi$
$912$	14.9497	−	14.9497i	0.495034	−	0.495034i
$913$	14.3446	−	42.8341i	0.474737	−	1.41760i
$914$		−	8.70466i		−	0.287924i
$915$	2.03817	+	4.00014i	0.0673799	+	0.132241i
$916$	−1.12959	−	0.178910i	−0.0373228	−	0.00591135i
$917$	8.52544	−	1.35030i	0.281535	−	0.0445907i
$918$	9.37899	+	4.77883i	0.309553	+	0.157725i
$919$	19.8981	−	6.46530i	0.656379	−	0.213271i	0.0381544	−	0.999272i	$-0.487852\pi$
$919$	19.8981	−	6.46530i	0.656379	−	0.213271i	0.618225	+	0.786001i	$0.287852\pi$
$920$	24.8358	+	18.0443i	0.818814	+	0.594903i
$921$	0.247354	+	0.0391771i	0.00815060	+	0.00129093i
$922$	−2.68766	−	0.873274i	−0.0885134	−	0.0287598i
$923$	44.5761	−	8.46094i	1.46724	−	0.278495i
$924$	0.169564	+	0.538280i	0.00557824	+	0.0177081i
$925$	−19.6005	−	19.6005i	−0.644459	−	0.644459i
$926$	−57.5049	−	18.6845i	−1.88973	−	0.614010i
$927$	−0.957346	−	1.31767i	−0.0314434	−	0.0432781i
$928$	0.860606	+	5.43365i	0.0282508	+	0.178368i
$929$	−19.0900	+	37.4662i	−0.626322	+	1.22923i	0.331930	+	0.943304i	$0.392300\pi$
$929$	−19.0900	+	37.4662i	−0.626322	+	1.22923i	−0.958253	+	0.285923i	$0.907700\pi$
$930$	−1.04363	+	2.04824i	−0.0342220	+	0.0671645i
$931$	3.92926	+	24.8084i	0.128776	+	0.813061i
$932$	−0.751289	−	1.03406i	−0.0246093	−	0.0338718i
$933$	−10.6783	−	3.46958i	−0.349591	−	0.113589i
$934$	−9.51458	−	9.51458i	−0.311326	−	0.311326i
$935$	−0.607567	+	67.5868i	−0.0198696	+	2.21032i
$936$	−9.69357	+	1.83992i	−0.316844	+	0.0601398i
$937$	−50.7581	−	16.4923i	−1.65820	−	0.538780i	−0.677703	−	0.735336i	$-0.737024\pi$
$937$	−50.7581	−	16.4923i	−1.65820	−	0.538780i	−0.980493	+	0.196556i	$0.937024\pi$
$938$	13.1470	+	2.08227i	0.429264	+	0.0679887i
$939$	15.0877	+	10.9618i	0.492368	+	0.357726i
$940$	−0.586104	+	0.190437i	−0.0191166	+	0.00621136i
$941$	−21.1030	−	10.7525i	−0.687940	−	0.350523i	0.0748270	−	0.997197i	$-0.476160\pi$
$941$	−21.1030	−	10.7525i	−0.687940	−	0.350523i	−0.762767	+	0.646674i	$0.776160\pi$
$942$	−10.6087	+	1.68025i	−0.345650	+	0.0547455i
$943$	8.03341	+	1.27237i	0.261604	+	0.0414340i
$944$	−16.1689	−	31.7333i	−0.526254	−	1.03283i
$945$			3.96517i			0.128987i
$946$	40.8903	−	29.1506i	1.32946	−	0.947768i
$947$	−8.23227	+	8.23227i	−0.267513	+	0.267513i	−0.828097	−	0.560584i	$-0.810577\pi$
$947$	−8.23227	+	8.23227i	−0.267513	+	0.267513i	0.560584	+	0.828097i	$0.310577\pi$
$948$	−0.296033	+	0.911096i	−0.00961471	+	0.0295910i
$949$	−11.8901	+	12.6384i	−0.385969	+	0.410260i
$950$	−17.3819	−	12.6287i	−0.563943	−	0.409728i
$951$	−0.547115	+	1.07377i	−0.0177414	+	0.0348195i
$952$	−26.4541	+	8.59546i	−0.857383	+	0.278580i
$953$	32.1200	+	23.3365i	1.04047	+	0.755945i	0.970377	−	0.241596i	$-0.0776708\pi$
$953$	32.1200	+	23.3365i	1.04047	+	0.755945i	0.0700917	+	0.997541i	$0.477671\pi$
$954$	1.31220	−	8.28493i	0.0424842	−	0.268235i
$955$	−26.9549	+	13.7342i	−0.872239	+	0.444428i
$956$	1.94857	+	1.94857i	0.0630213	+	0.0630213i
$957$	−26.4013	+	3.93862i	−0.853434	+	0.127317i
$958$	4.73206			0.152886
$959$	1.57236	−	4.83922i	0.0507741	−	0.156267i
$960$	3.29006	−	20.7726i	0.106186	−	0.670434i
$961$	−18.0371	+	24.8260i	−0.581843	+	0.800838i
$962$	13.8100	−	47.3718i	0.445251	−	1.52733i
$963$	8.15634	−	2.65016i	0.262835	−	0.0854001i
$964$	1.37226	−	0.217344i	0.0441974	−	0.00700019i
$965$	−3.38259	−	4.65573i	−0.108889	−	0.149873i
$966$	7.75008	+	2.51815i	0.249355	+	0.0810203i
$967$	24.8983	−	24.8983i	0.800675	−	0.800675i	−0.182526	−	0.983201i	$-0.558427\pi$
$967$	24.8983	−	24.8983i	0.800675	−	0.800675i	0.983201	+	0.182526i	$0.0584273\pi$
$968$	29.8109	−	4.17369i	0.958158	−	0.134147i
$969$	25.5605	−	25.5605i	0.821121	−	0.821121i
$970$	−22.0617	+	11.2410i	−0.708359	+	0.360927i
$971$	3.68452	−	2.67696i	0.118242	−	0.0859076i	−0.527093	−	0.849808i	$-0.676718\pi$
$971$	3.68452	−	2.67696i	0.118242	−	0.0859076i	0.645335	+	0.763900i	$0.276718\pi$
$972$	−0.0711199	+	0.0978882i	−0.00228117	+	0.00313977i
$973$	−1.59177	−	0.811049i	−0.0510299	−	0.0260010i
$974$	2.71217	+	8.34721i	0.0869037	+	0.267462i
$975$	3.59350	+	10.0101i	0.115084	+	0.320581i
$976$	−3.95643	−	5.44556i	−0.126642	−	0.174308i
$977$	1.87517	−	0.955446i	0.0599919	−	0.0305674i	−0.423737	−	0.905785i	$-0.639282\pi$
$977$	1.87517	−	0.955446i	0.0599919	−	0.0305674i	0.483729	+	0.875218i	$0.339282\pi$
$978$			22.9759i			0.734688i
$979$	13.9564	+	10.3329i	0.446049	+	0.330240i
$980$	−1.21153	−	1.21153i	−0.0387010	−	0.0387010i
$981$	4.17251	+	8.18901i	0.133218	+	0.261455i
$982$	9.99917	−	63.1323i	0.319086	−	2.01463i
$983$	−55.4865	+	8.78820i	−1.76974	+	0.280300i	−0.954368	−	0.298632i	$-0.903470\pi$
$983$	−55.4865	+	8.78820i	−1.76974	+	0.280300i	−0.815376	+	0.578932i	$0.803470\pi$
$984$	−1.72868	−	5.32032i	−0.0551082	−	0.169606i
$985$	19.6112	+	60.3570i	0.624864	+	1.92313i
$986$	13.2531	+	83.6766i	0.422064	+	2.66481i
$987$	2.05523	−	1.49321i	0.0654185	−	0.0475294i
$988$	0.275444	−	2.16438i	0.00876305	−	0.0688582i
$989$		−	41.3650i		−	1.31533i
$990$	−13.4316	−	2.25130i	−0.426884	−	0.0715511i
$991$	−1.12992			−0.0358932			−0.0179466	−	0.999839i	$-0.505713\pi$
$991$	−1.12992			−0.0358932			−0.0179466	+	0.999839i	$0.505713\pi$
$992$	0.118249	−	0.363933i	0.00375441	−	0.0115549i
$993$	22.9781	+	3.63937i	0.729188	+	0.115492i
$994$	4.03183	+	25.4560i	0.127882	+	0.807415i
$995$	16.3931	+	8.35269i	0.519696	+	0.264798i
$996$	0.748160	−	1.46835i	0.0237063	−	0.0465263i
$997$	−7.55463	+	10.3981i	−0.239258	+	0.329310i	−0.911713	−	0.410828i	$-0.865240\pi$
$997$	−7.55463	+	10.3981i	−0.239258	+	0.329310i	0.672455	+	0.740138i	$0.265240\pi$
$998$	21.0346	−	15.2825i	0.665839	−	0.483760i
$999$	4.26616	+	8.37282i	0.134975	+	0.264904i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	429.2.bj.a.112.4	✓	112
11.6	odd	10	inner	429.2.bj.a.424.4	yes	112
13.5	odd	4	inner	429.2.bj.a.343.4	yes	112
143.83	even	20	inner	429.2.bj.a.226.4	yes	112

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
429.2.bj.a.112.4	✓	112	1.1	even	1	trivial
429.2.bj.a.226.4	yes	112	143.83	even	20	inner
429.2.bj.a.343.4	yes	112	13.5	odd	4	inner
429.2.bj.a.424.4	yes	112	11.6	odd	10	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:	\( N \)	\(=\)	\( 429 = 3 \cdot 11 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	429.bj (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.661175 - 1.29763i) q^{2} +(-0.809017 + 0.587785i) q^{3} +(-0.0711199 + 0.0978882i) q^{4} +(-1.28004 + 2.51223i) q^{5} +(1.29763 + 0.661175i) q^{6} +(-0.219997 - 1.38901i) q^{7} +(-2.70282 - 0.428085i) q^{8} +(0.309017 - 0.951057i) q^{9} +O(q^{10})\)	\(q+(-0.661175 - 1.29763i) q^{2} +(-0.809017 + 0.587785i) q^{3} +(-0.0711199 + 0.0978882i) q^{4} +(-1.28004 + 2.51223i) q^{5} +(1.29763 + 0.661175i) q^{6} +(-0.219997 - 1.38901i) q^{7} +(-2.70282 - 0.428085i) q^{8} +(0.309017 - 0.951057i) q^{9} +4.10627 q^{10} +(-0.489367 - 3.28032i) q^{11} -0.120996i q^{12} +(2.20725 + 2.85097i) q^{13} +(-1.65696 + 1.20385i) q^{14} +(-0.441073 - 2.78482i) q^{15} +(1.30632 + 4.02045i) q^{16} +(2.23351 + 6.87403i) q^{17} +(-1.43843 + 0.227826i) q^{18} +(-0.782368 + 4.93968i) q^{19} +(-0.154881 - 0.303970i) q^{20} +(0.994418 + 0.994418i) q^{21} +(-3.93309 + 2.80389i) q^{22} +3.97874i q^{23} +(2.43825 - 1.24235i) q^{24} +(-1.73384 - 2.38643i) q^{25} +(2.24013 - 4.74919i) q^{26} +(0.309017 + 0.951057i) q^{27} +(0.151613 + 0.0772509i) q^{28} +(-4.73073 + 6.51129i) q^{29} +(-3.32204 + 2.41361i) q^{30} +(0.498808 - 0.254155i) q^{31} +(0.483335 - 0.483335i) q^{32} +(2.32403 + 2.36619i) q^{33} +(7.44321 - 7.44321i) q^{34} +(3.77110 + 1.22530i) q^{35} +(0.0711199 + 0.0978882i) q^{36} +(9.28134 - 1.47002i) q^{37} +(6.92715 - 2.25077i) q^{38} +(-3.46146 - 1.00910i) q^{39} +(4.53517 - 6.24213i) q^{40} +(0.319791 - 2.01908i) q^{41} +(0.632902 - 1.94787i) q^{42} -10.3965 q^{43} +(0.355909 + 0.185393i) q^{44} +(1.99371 + 1.99371i) q^{45} +(5.16294 - 2.63065i) q^{46} +(0.282586 - 1.78418i) q^{47} +(-3.42000 - 2.48478i) q^{48} +(4.77646 - 1.55197i) q^{49} +(-1.95033 + 3.82773i) q^{50} +(-5.84740 - 4.24839i) q^{51} +(-0.436056 + 0.0133029i) q^{52} +(-1.77984 + 5.47779i) q^{53} +(1.02980 - 1.02980i) q^{54} +(8.86732 + 2.96955i) q^{55} +3.84841i q^{56} +(-2.27052 - 4.45615i) q^{57} +(11.5771 + 1.83363i) q^{58} +(-8.32120 + 1.31795i) q^{59} +(0.303970 + 0.154881i) q^{60} +(-1.51434 + 0.492038i) q^{61} +(-0.659599 - 0.479227i) q^{62} +(-1.38901 - 0.219997i) q^{63} +(7.09414 + 2.30503i) q^{64} +(-9.98766 + 1.89575i) q^{65} +(1.53385 - 4.58020i) q^{66} +(-4.59554 - 4.59554i) q^{67} +(-0.831734 - 0.270247i) q^{68} +(-2.33865 - 3.21887i) q^{69} +(-0.903367 - 5.70363i) q^{70} +(5.71298 - 11.2124i) q^{71} +(-1.24235 + 2.43825i) q^{72} +(0.752869 + 4.75342i) q^{73} +(-8.04413 - 11.0718i) q^{74} +(2.80541 + 0.911534i) q^{75} +(-0.427894 - 0.427894i) q^{76} +(-4.44873 + 1.40139i) q^{77} +(0.979202 + 5.15889i) q^{78} +(-7.52994 - 2.44663i) q^{79} +(-11.7724 - 1.86457i) q^{80} +(-0.809017 - 0.587785i) q^{81} +(-2.83146 + 0.919996i) q^{82} +(12.1354 + 6.18332i) q^{83} +(-0.168065 + 0.0266188i) q^{84} +(-20.1281 - 3.18798i) q^{85} +(6.87391 + 13.4908i) q^{86} -8.04839i q^{87} +(-0.0815847 + 9.07562i) q^{88} +(-3.70227 + 3.70227i) q^{89} +(1.26891 - 3.90530i) q^{90} +(3.47443 - 3.69309i) q^{91} +(-0.389472 - 0.282968i) q^{92} +(-0.254155 + 0.498808i) q^{93} +(-2.50204 + 0.812962i) q^{94} +(-11.4081 - 8.28848i) q^{95} +(-0.106929 + 0.675123i) q^{96} +(-5.37269 + 2.73752i) q^{97} +(-5.17195 - 5.17195i) q^{98} +(-3.27100 - 0.548260i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 112 q - 28 q^{3} - 6 q^{5} - 28 q^{9}+O(q^{10}) \) 112 * q - 28 * q^3 - 6 * q^5 - 28 * q^9	\( 112 q - 28 q^{3} - 6 q^{5} - 28 q^{9} - 10 q^{11} + 10 q^{13} - 60 q^{14} + 4 q^{15} + 80 q^{16} - 74 q^{20} + 8 q^{22} + 30 q^{24} + 38 q^{26} - 28 q^{27} - 20 q^{29} - 8 q^{31} + 20 q^{33} - 48 q^{34} + 20 q^{35} + 12 q^{37} - 10 q^{39} + 40 q^{40} - 110 q^{41} + 20 q^{42} - 36 q^{44} + 4 q^{45} - 20 q^{46} - 30 q^{47} - 20 q^{48} + 90 q^{50} - 10 q^{52} + 52 q^{53} - 64 q^{55} + 30 q^{57} + 24 q^{58} - 36 q^{59} - 74 q^{60} - 60 q^{61} + 48 q^{66} + 60 q^{67} + 60 q^{68} + 116 q^{70} + 20 q^{71} - 30 q^{72} + 70 q^{73} + 120 q^{74} - 52 q^{78} - 120 q^{79} + 8 q^{80} - 28 q^{81} + 30 q^{83} + 30 q^{84} - 40 q^{85} + 62 q^{86} + 48 q^{89} - 4 q^{91} - 144 q^{92} - 8 q^{93} - 20 q^{94} + 82 q^{97} - 10 q^{99}+O(q^{100}) \) 112 * q - 28 * q^3 - 6 * q^5 - 28 * q^9 - 10 * q^11 + 10 * q^13 - 60 * q^14 + 4 * q^15 + 80 * q^16 - 74 * q^20 + 8 * q^22 + 30 * q^24 + 38 * q^26 - 28 * q^27 - 20 * q^29 - 8 * q^31 + 20 * q^33 - 48 * q^34 + 20 * q^35 + 12 * q^37 - 10 * q^39 + 40 * q^40 - 110 * q^41 + 20 * q^42 - 36 * q^44 + 4 * q^45 - 20 * q^46 - 30 * q^47 - 20 * q^48 + 90 * q^50 - 10 * q^52 + 52 * q^53 - 64 * q^55 + 30 * q^57 + 24 * q^58 - 36 * q^59 - 74 * q^60 - 60 * q^61 + 48 * q^66 + 60 * q^67 + 60 * q^68 + 116 * q^70 + 20 * q^71 - 30 * q^72 + 70 * q^73 + 120 * q^74 - 52 * q^78 - 120 * q^79 + 8 * q^80 - 28 * q^81 + 30 * q^83 + 30 * q^84 - 40 * q^85 + 62 * q^86 + 48 * q^89 - 4 * q^91 - 144 * q^92 - 8 * q^93 - 20 * q^94 + 82 * q^97 - 10 * q^99

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