LMFDB - Embedded newform 819.2.fk.a.31.13

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [819,2,Mod(31,819)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(819, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([4, 2, 9]))

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

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

chi := DirichletCharacter("819.31");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 819 = 3^{2} \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	819.fk (of order $12$, 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:	$6.53974792554$
Analytic rank:	$0$
Dimension:	$432$
Relative dimension:	$108$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			31.13
Character	$\chi$	$=$	819.31
Dual form			819.2.fk.a.502.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.587129 - 2.19119i) q^{2} +(-0.935526 + 1.45767i) q^{3} +(-2.72456 + 1.57302i) q^{4} +(-1.74171 - 1.74171i) q^{5} +(3.74330 + 1.19408i) q^{6} +(2.45423 + 0.988320i) q^{7} +(1.83834 + 1.83834i) q^{8} +(-1.24958 - 2.72737i) q^{9} +O(q^{10})$	\(q+(-0.587129 - 2.19119i) q^{2} +(-0.935526 + 1.45767i) q^{3} +(-2.72456 + 1.57302i) q^{4} +(-1.74171 - 1.74171i) q^{5} +(3.74330 + 1.19408i) q^{6} +(2.45423 + 0.988320i) q^{7} +(1.83834 + 1.83834i) q^{8} +(-1.24958 - 2.72737i) q^{9} +(-2.79381 + 4.83902i) q^{10} +(-0.148260 - 0.148260i) q^{11} +(0.255952 - 5.44310i) q^{12} +(-3.35062 + 1.33168i) q^{13} +(0.724655 - 5.95795i) q^{14} +(4.16824 - 0.909414i) q^{15} +(-0.197235 + 0.341621i) q^{16} +(-1.30624 + 2.26248i) q^{17} +(-5.24253 + 4.33939i) q^{18} +(0.123595 - 0.461262i) q^{19} +(7.48513 + 2.00563i) q^{20} +(-3.73663 + 2.65284i) q^{21} +(-0.237819 + 0.411914i) q^{22} -3.31759i q^{23} +(-4.39950 + 0.959870i) q^{24} +1.06708i q^{25} +(4.88521 + 6.55998i) q^{26} +(5.14461 + 0.730055i) q^{27} +(-8.24134 + 1.16782i) q^{28} +(3.48198 + 6.03096i) q^{29} +(-4.43999 - 8.59947i) q^{30} +(-1.77141 + 6.61101i) q^{31} +(5.88679 + 1.57736i) q^{32} +(0.354815 - 0.0774125i) q^{33} +(5.72446 + 1.53386i) q^{34} +(-2.55318 - 5.99590i) q^{35} +(7.69478 + 5.46526i) q^{36} +(-2.81539 + 10.5072i) q^{37} -1.08328 q^{38} +(1.19344 - 6.12990i) q^{39} -6.40369i q^{40} +(3.88691 - 1.04149i) q^{41} +(8.00678 + 6.63013i) q^{42} +(6.49650 - 3.75075i) q^{43} +(0.637160 + 0.170727i) q^{44} +(-2.57387 + 6.92668i) q^{45} +(-7.26949 + 1.94785i) q^{46} +(0.245784 + 0.917279i) q^{47} +(-0.313451 - 0.607098i) q^{48} +(5.04645 + 4.85112i) q^{49} +(2.33818 - 0.626514i) q^{50} +(-2.07591 - 4.02067i) q^{51} +(7.03418 - 8.89885i) q^{52} +(4.32791 - 7.49617i) q^{53} +(-1.42086 - 11.7015i) q^{54} +0.516451i q^{55} +(2.69483 + 6.32857i) q^{56} +(0.556739 + 0.611682i) q^{57} +(11.1706 - 11.1706i) q^{58} +(-2.20411 - 0.590589i) q^{59} +(-9.92608 + 9.03450i) q^{60} +(10.1708 + 5.87212i) q^{61} +15.5260 q^{62} +(-0.371239 - 7.92857i) q^{63} -13.0363i q^{64} +(8.15519 + 3.51639i) q^{65} +(-0.377948 - 0.732017i) q^{66} +(4.70352 + 1.26030i) q^{67} -8.21901i q^{68} +(4.83594 + 3.10370i) q^{69} +(-11.6391 + 9.11487i) q^{70} +(-2.65094 + 2.65094i) q^{71} +(2.71668 - 7.31098i) q^{72} +(0.192693 + 0.719141i) q^{73} +24.6763 q^{74} +(-1.55545 - 0.998283i) q^{75} +(0.388835 + 1.45115i) q^{76} +(-0.217335 - 0.510392i) q^{77} +(-14.1325 + 0.983978i) q^{78} +(-1.76612 + 3.05900i) q^{79} +(0.938528 - 0.251478i) q^{80} +(-5.87709 + 6.81614i) q^{81} +(-4.56423 - 7.90548i) q^{82} +(-3.94250 + 14.7136i) q^{83} +(6.00769 - 13.1056i) q^{84} +(6.21566 - 1.66548i) q^{85} +(-12.0329 - 12.0329i) q^{86} +(-12.0486 - 0.566563i) q^{87} -0.545105i q^{88} +(5.03329 + 1.34867i) q^{89} +(16.6889 + 1.57301i) q^{90} +(-9.53929 - 0.0432337i) q^{91} +(5.21866 + 9.03898i) q^{92} +(-7.97944 - 8.76690i) q^{93} +(1.86563 - 1.07712i) q^{94} +(-1.01865 + 0.588117i) q^{95} +(-7.80652 + 7.10532i) q^{96} +(-4.08091 + 15.2302i) q^{97} +(7.66683 - 13.9060i) q^{98} +(-0.219097 + 0.589623i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 432 q + 2 q^{2} - 12 q^{3} + 12 q^{6} - 8 q^{8} - 4 q^{9}+O(q^{10}) $ 432 * q + 2 * q^2 - 12 * q^3 + 12 * q^6 - 8 * q^8 - 4 * q^9	$ 432 q + 2 q^{2} - 12 q^{3} + 12 q^{6} - 8 q^{8} - 4 q^{9} - 12 q^{11} - 4 q^{14} - 14 q^{15} + 196 q^{16} + 14 q^{18} - 12 q^{19} - 60 q^{20} - 8 q^{22} - 24 q^{24} - 12 q^{26} - 36 q^{27} + 4 q^{28} - 24 q^{29} - 30 q^{31} + 10 q^{32} - 60 q^{33} - 12 q^{34} - 60 q^{35} - 2 q^{37} - 22 q^{39} - 100 q^{42} + 32 q^{44} - 6 q^{45} + 4 q^{46} + 30 q^{47} - 12 q^{48} + 22 q^{50} + 8 q^{53} + 30 q^{54} - 44 q^{57} + 12 q^{58} - 6 q^{59} - 64 q^{60} - 12 q^{61} + 14 q^{63} + 16 q^{65} - 12 q^{66} + 16 q^{67} + 32 q^{70} + 48 q^{71} + 34 q^{72} - 12 q^{73} + 104 q^{74} - 48 q^{76} + 2 q^{78} + 28 q^{79} - 6 q^{80} - 44 q^{81} + 84 q^{83} - 38 q^{84} - 6 q^{85} + 84 q^{86} + 24 q^{87} + 18 q^{89} + 52 q^{92} - 108 q^{93} - 12 q^{94} + 42 q^{96} + 6 q^{97} - 112 q^{98} - 50 q^{99}+O(q^{100}) $ 432 * q + 2 * q^2 - 12 * q^3 + 12 * q^6 - 8 * q^8 - 4 * q^9 - 12 * q^11 - 4 * q^14 - 14 * q^15 + 196 * q^16 + 14 * q^18 - 12 * q^19 - 60 * q^20 - 8 * q^22 - 24 * q^24 - 12 * q^26 - 36 * q^27 + 4 * q^28 - 24 * q^29 - 30 * q^31 + 10 * q^32 - 60 * q^33 - 12 * q^34 - 60 * q^35 - 2 * q^37 - 22 * q^39 - 100 * q^42 + 32 * q^44 - 6 * q^45 + 4 * q^46 + 30 * q^47 - 12 * q^48 + 22 * q^50 + 8 * q^53 + 30 * q^54 - 44 * q^57 + 12 * q^58 - 6 * q^59 - 64 * q^60 - 12 * q^61 + 14 * q^63 + 16 * q^65 - 12 * q^66 + 16 * q^67 + 32 * q^70 + 48 * q^71 + 34 * q^72 - 12 * q^73 + 104 * q^74 - 48 * q^76 + 2 * q^78 + 28 * q^79 - 6 * q^80 - 44 * q^81 + 84 * q^83 - 38 * q^84 - 6 * q^85 + 84 * q^86 + 24 * q^87 + 18 * q^89 + 52 * q^92 - 108 * q^93 - 12 * q^94 + 42 * q^96 + 6 * q^97 - 112 * q^98 - 50 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/819\mathbb{Z}\right)^\times$.

$n$	$92$	$379$	$703$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{1}{6}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.587129	−	2.19119i	−0.415163	−	1.54941i	−0.784510	−	0.620116i	$-0.787085\pi$
$2$	−0.587129	−	2.19119i	−0.415163	−	1.54941i	0.369347	−	0.929291i	$-0.379581\pi$
$3$	−0.935526	+	1.45767i	−0.540126	+	0.841584i
$3$	−0.935526	+	1.45767i	−0.540126	+	0.841584i
$4$	−2.72456	+	1.57302i	−1.36228	+	0.786512i
$5$	−1.74171	−	1.74171i	−0.778915	−	0.778915i	0.200732	−	0.979646i	$-0.435668\pi$
$5$	−1.74171	−	1.74171i	−0.778915	−	0.778915i	−0.979646	+	0.200732i	$0.935668\pi$
$6$	3.74330	+	1.19408i	1.52820	+	0.487482i
$7$	2.45423	+	0.988320i	0.927610	+	0.373550i
$7$	2.45423	+	0.988320i	0.927610	+	0.373550i
$8$	1.83834	+	1.83834i	0.649951	+	0.649951i
$9$	−1.24958	−	2.72737i	−0.416527	−	0.909123i
$10$	−2.79381	+	4.83902i	−0.883480	+	1.53023i
$11$	−0.148260	−	0.148260i	−0.0447021	−	0.0447021i	0.684402	−	0.729104i	$-0.260063\pi$
$11$	−0.148260	−	0.148260i	−0.0447021	−	0.0447021i	−0.729104	+	0.684402i	$0.760063\pi$
$12$	0.255952	−	5.44310i	0.0738869	−	1.57129i
$13$	−3.35062	+	1.33168i	−0.929294	+	0.369342i
$13$	−3.35062	+	1.33168i	−0.929294	+	0.369342i
$14$	0.724655	−	5.95795i	0.193672	−	1.59233i
$15$	4.16824	−	0.909414i	1.07623	−	0.234810i
$16$	−0.197235	+	0.341621i	−0.0493087	+	0.0854052i
$17$	−1.30624	+	2.26248i	−0.316810	+	0.548732i	−0.979821	−	0.199879i	$-0.935945\pi$
$17$	−1.30624	+	2.26248i	−0.316810	+	0.548732i	0.663010	+	0.748610i	$0.269279\pi$
$18$	−5.24253	+	4.33939i	−1.23568	+	1.02280i
$19$	0.123595	−	0.461262i	0.0283546	−	0.105821i	−0.950298	−	0.311341i	$-0.899222\pi$
$19$	0.123595	−	0.461262i	0.0283546	−	0.105821i	0.978653	+	0.205520i	$0.0658886\pi$
$20$	7.48513	+	2.00563i	1.67373	+	0.448473i
$21$	−3.73663	+	2.65284i	−0.815400	+	0.578898i
$22$	−0.237819	+	0.411914i	−0.0507032	+	0.0878205i
$23$		−	3.31759i		−	0.691766i	−0.938278	−	0.345883i	$-0.887579\pi$
$23$		−	3.31759i		−	0.691766i	0.938278	−	0.345883i	$-0.112421\pi$
$24$	−4.39950	+	0.959870i	−0.898044	+	0.195933i
$25$			1.06708i			0.213416i
$26$	4.88521	+	6.55998i	0.958069	+	1.28652i
$27$	5.14461	+	0.730055i	0.990081	+	0.140499i
$28$	−8.24134	+	1.16782i	−1.55747	+	0.220698i
$29$	3.48198	+	6.03096i	0.646587	+	1.11992i	0.983933	+	0.178541i	$0.0571376\pi$
$29$	3.48198	+	6.03096i	0.646587	+	1.11992i	−0.337346	+	0.941381i	$0.609529\pi$
$30$	−4.43999	−	8.59947i	−0.810628	−	1.57004i
$31$	−1.77141	+	6.61101i	−0.318155	+	1.18737i	0.602861	+	0.797847i	$0.294028\pi$
$31$	−1.77141	+	6.61101i	−0.318155	+	1.18737i	−0.921016	+	0.389525i	$0.872639\pi$
$32$	5.88679	+	1.57736i	1.04065	+	0.278841i
$33$	0.354815	−	0.0774125i	0.0617654	−	0.0134758i
$34$	5.72446	+	1.53386i	0.981737	+	0.263056i
$35$	−2.55318	−	5.99590i	−0.431566	−	1.01349i
$36$	7.69478	+	5.46526i	1.28246	+	0.910877i
$37$	−2.81539	+	10.5072i	−0.462848	+	1.72737i	0.201080	+	0.979575i	$0.435555\pi$
$37$	−2.81539	+	10.5072i	−0.462848	+	1.72737i	−0.663928	+	0.747797i	$0.731112\pi$
$38$	−1.08328			−0.175731
$39$	1.19344	−	6.12990i	0.191104	−	0.981570i
$40$		−	6.40369i		−	1.01251i
$41$	3.88691	−	1.04149i	0.607033	−	0.162654i	0.0578070	−	0.998328i	$-0.481589\pi$
$41$	3.88691	−	1.04149i	0.607033	−	0.162654i	0.549226	+	0.835674i	$0.314923\pi$
$42$	8.00678	+	6.63013i	1.23547	+	1.02305i
$43$	6.49650	−	3.75075i	0.990706	−	0.571985i	0.0852209	−	0.996362i	$-0.472840\pi$
$43$	6.49650	−	3.75075i	0.990706	−	0.571985i	0.905485	+	0.424378i	$0.139507\pi$
$44$	0.637160	+	0.170727i	0.0960555	+	0.0257380i
$45$	−2.57387	+	6.92668i	−0.383691	+	1.03257i
$46$	−7.26949	+	1.94785i	−1.07183	+	0.287195i
$47$	0.245784	+	0.917279i	0.0358513	+	0.133799i	0.981532	−	0.191298i	$-0.0612697\pi$
$47$	0.245784	+	0.917279i	0.0358513	+	0.133799i	−0.945681	+	0.325097i	$0.894603\pi$
$48$	−0.313451	−	0.607098i	−0.0452427	−	0.0876270i
$49$	5.04645	+	4.85112i	0.720921	+	0.693017i
$50$	2.33818	−	0.626514i	0.330669	−	0.0886025i
$51$	−2.07591	−	4.02067i	−0.290686	−	0.563007i
$52$	7.03418	−	8.89885i	0.975466	−	1.23405i
$53$	4.32791	−	7.49617i	0.594485	−	1.02968i	−0.399135	−	0.916892i	$-0.630689\pi$
$53$	4.32791	−	7.49617i	0.594485	−	1.02968i	0.993619	−	0.112785i	$-0.0359773\pi$
$54$	−1.42086	−	11.7015i	−0.193354	−	1.59237i
$55$			0.516451i			0.0696383i
$56$	2.69483	+	6.32857i	0.360112	+	0.845690i
$57$	0.556739	+	0.611682i	0.0737419	+	0.0810193i
$58$	11.1706	−	11.1706i	1.46678	−	1.46678i
$59$	−2.20411	−	0.590589i	−0.286950	−	0.0768881i	0.112473	−	0.993655i	$-0.464123\pi$
$59$	−2.20411	−	0.590589i	−0.286950	−	0.0768881i	−0.399423	+	0.916767i	$0.630790\pi$
$60$	−9.92608	+	9.03450i	−1.28145	+	1.16635i
$61$	10.1708	+	5.87212i	1.30224	+	0.751849i	0.980788	−	0.195077i	$-0.0624958\pi$
$61$	10.1708	+	5.87212i	1.30224	+	0.751849i	0.321452	+	0.946926i	$0.395829\pi$
$62$	15.5260			1.97181
$63$	−0.371239	−	7.92857i	−0.0467717	−	0.998906i
$64$		−	13.0363i		−	1.62954i
$65$	8.15519	+	3.51639i	1.01153	+	0.436155i
$66$	−0.377948	−	0.732017i	−0.0465222	−	0.0901051i
$67$	4.70352	+	1.26030i	0.574626	+	0.153971i	0.534417	−	0.845221i	$-0.320531\pi$
$67$	4.70352	+	1.26030i	0.574626	+	0.153971i	0.0402086	+	0.999191i	$0.487198\pi$
$68$		−	8.21901i		−	0.996701i
$69$	4.83594	+	3.10370i	0.582179	+	0.373641i
$70$	−11.6391	+	9.11487i	−1.39114	+	1.08944i
$71$	−2.65094	+	2.65094i	−0.314609	+	0.314609i	−0.846692	−	0.532083i	$-0.821409\pi$
$71$	−2.65094	+	2.65094i	−0.314609	+	0.314609i	0.532083	+	0.846692i	$0.321409\pi$
$72$	2.71668	−	7.31098i	0.320163	−	0.861608i
$73$	0.192693	+	0.719141i	0.0225530	+	0.0841691i	0.976285	−	0.216489i	$-0.0694605\pi$
$73$	0.192693	+	0.719141i	0.0225530	+	0.0841691i	−0.953732	+	0.300658i	$0.902794\pi$
$74$	24.6763			2.86856
$75$	−1.55545	−	0.998283i	−0.179608	−	0.115272i
$76$	0.388835	+	1.45115i	0.0446024	+	0.166459i
$77$	−0.217335	−	0.510392i	−0.0247677	−	0.0581646i
$78$	−14.1325	+	0.983978i	−1.60019	+	0.111414i
$79$	−1.76612	+	3.05900i	−0.198704	+	0.344165i	−0.948108	−	0.317947i	$-0.897006\pi$
$79$	−1.76612	+	3.05900i	−0.198704	+	0.344165i	0.749405	+	0.662112i	$0.230340\pi$
$80$	0.938528	−	0.251478i	0.104931	−	0.0281161i
$81$	−5.87709	+	6.81614i	−0.653011	+	0.757349i
$82$	−4.56423	−	7.90548i	−0.504035	−	0.873014i
$83$	−3.94250	+	14.7136i	−0.432746	+	1.61503i	0.313657	+	0.949536i	$0.398446\pi$
$83$	−3.94250	+	14.7136i	−0.432746	+	1.61503i	−0.746403	+	0.665494i	$0.768221\pi$
$84$	6.00769	−	13.1056i	0.655493	−	1.42994i
$85$	6.21566	−	1.66548i	0.674183	−	0.180647i
$86$	−12.0329	−	12.0329i	−1.29754	−	1.29754i
$87$	−12.0486	−	0.566563i	−1.29175	−	0.0607419i
$88$		−	0.545105i		−	0.0581084i
$89$	5.03329	+	1.34867i	0.533528	+	0.142958i	0.515517	−	0.856880i	$-0.327600\pi$
$89$	5.03329	+	1.34867i	0.533528	+	0.142958i	0.0180108	+	0.999838i	$0.494267\pi$
$90$	16.6889	+	1.57301i	1.75916	+	0.165809i
$91$	−9.53929	−	0.0432337i	−0.999990	−	0.00453212i
$92$	5.21866	+	9.03898i	0.544083	+	0.942379i
$93$	−7.97944	−	8.76690i	−0.827429	−	0.909085i
$94$	1.86563	−	1.07712i	0.192425	−	0.111097i
$95$	−1.01865	+	0.588117i	−0.104511	+	0.0603395i
$96$	−7.80652	+	7.10532i	−0.796749	+	0.725183i
$97$	−4.08091	+	15.2302i	−0.414354	+	1.54639i	0.371772	+	0.928324i	$0.378750\pi$
$97$	−4.08091	+	15.2302i	−0.414354	+	1.54639i	−0.786126	+	0.618066i	$0.787916\pi$
$98$	7.66683	−	13.9060i	0.774467	−	1.40472i
$99$	−0.219097	+	0.589623i	−0.0220201	+	0.0592594i
$100$	−1.67855	−	2.90733i	−0.167855	−	0.290733i
$101$	−3.24237			−0.322628			−0.161314	−	0.986903i	$-0.551573\pi$
$101$	−3.24237			−0.322628			−0.161314	+	0.986903i	$0.551573\pi$
$102$	−7.59125	+	6.90938i	−0.751645	+	0.684131i
$103$	−6.17190			−0.608135			−0.304068	−	0.952650i	$-0.598345\pi$
$103$	−6.17190			−0.608135			−0.304068	+	0.952650i	$0.598345\pi$
$104$	−8.60765	−	3.71148i	−0.844049	−	0.363941i
$105$	11.1286	+	1.88765i	1.08604	+	0.184215i
$106$	−18.9666	−	5.08208i	−1.84220	−	0.493616i
$107$	1.23525	+	2.13951i	0.119416	+	0.206834i	0.919536	−	0.393005i	$-0.128565\pi$
$107$	1.23525	+	2.13951i	0.119416	+	0.206834i	−0.800120	+	0.599839i	$0.795231\pi$
$108$	−15.1652	+	6.10352i	−1.45927	+	0.587312i
$109$	0.894237	+	3.33734i	0.0856524	+	0.319659i	0.995437	−	0.0954217i	$-0.0304200\pi$
$109$	0.894237	+	3.33734i	0.0856524	+	0.319659i	−0.909785	+	0.415081i	$0.863753\pi$
$110$	1.13164	−	0.303223i	0.107898	−	0.0289112i
$111$	−12.6821	−	13.9337i	−1.20373	−	1.32252i
$112$	−0.821689	+	0.643483i	−0.0776423	+	0.0608034i
$113$	4.96518	−	8.59995i	0.467085	−	0.809015i	−0.532208	−	0.846614i	$-0.678638\pi$
$113$	4.96518	−	8.59995i	0.467085	−	0.809015i	0.999293	+	0.0375988i	$0.0119709\pi$
$114$	1.01344	−	1.57906i	0.0949170	−	0.147893i
$115$	−5.77827	+	5.77827i	−0.538827	+	0.538827i
$116$	−18.9737	−	10.9545i	−1.76166	−	1.01710i
$117$	7.81885	+	7.47432i	0.722853	+	0.691002i
$118$			5.17638i			0.476524i
$119$	−5.44187	+	4.26165i	−0.498855	+	0.390665i
$120$	9.33445	+	5.99082i	0.852114	+	0.546885i
$121$		−	10.9560i		−	0.996003i
$122$	6.89538	−	25.7339i	0.624279	−	2.32984i
$123$	−2.11816	+	6.64016i	−0.190988	+	0.598723i
$124$	−5.57296	−	20.7986i	−0.500466	−	1.86777i
$125$	−6.84999	+	6.84999i	−0.612682	+	0.612682i
$126$	−17.1551	+	5.46855i	−1.52829	+	0.487177i
$127$		−	12.2283i		−	1.08508i	−0.840029	−	0.542542i	$-0.817462\pi$
$127$		−	12.2283i		−	1.08508i	0.840029	−	0.542542i	$-0.182538\pi$
$128$	−16.7914	+	4.49925i	−1.48417	+	0.397681i
$129$	−0.610296	+	12.9786i	−0.0537336	+	1.14271i
$130$	2.91695	−	19.9342i	0.255833	−	1.74834i
$131$			11.2286i			0.981044i	0.871429	+	0.490522i	$0.163194\pi$
$131$			11.2286i			0.981044i	−0.871429	+	0.490522i	$0.836806\pi$
$132$	−0.844943	+	0.769048i	−0.0735428	+	0.0669370i
$133$	0.759203	−	1.00989i	0.0658313	−	0.0875685i
$134$		−	11.0463i		−	0.954253i
$135$	−7.68886	−	10.2319i	−0.661752	−	0.880625i
$136$	−6.56052	+	1.75789i	−0.562560	+	0.150737i
$137$	−9.87595	−	9.87595i	−0.843759	−	0.843759i	0.145587	−	0.989346i	$-0.453493\pi$
$137$	−9.87595	−	9.87595i	−0.843759	−	0.843759i	−0.989346	+	0.145587i	$0.953493\pi$
$138$	3.96148	−	12.4188i	0.337223	−	1.05715i
$139$	−9.34183	−	5.39351i	−0.792364	−	0.457471i	0.0484303	−	0.998827i	$-0.484578\pi$
$139$	−9.34183	−	5.39351i	−0.792364	−	0.457471i	−0.840794	+	0.541355i	$0.817911\pi$
$140$	16.3880	+	12.3200i	1.38504	+	1.04123i
$141$	−1.56702	−	0.499868i	−0.131967	−	0.0420964i
$142$	7.36517	+	4.25228i	0.618071	+	0.356844i
$143$	0.694198	+	0.299327i	0.0580517	+	0.0250310i
$144$	1.17819	+	0.111050i	0.0981822	+	0.00925413i
$145$	4.43958	−	16.5687i	0.368687	−	1.37596i
$146$	1.46264	−	0.844456i	0.121049	−	0.0698877i
$147$	−11.7924	+	2.81768i	−0.972621	+	0.232399i
$148$	−8.85737	−	33.0561i	−0.728071	−	2.71720i
$149$	−13.5404	+	13.5404i	−1.10927	+	1.10927i	−0.116024	+	0.993246i	$0.537015\pi$
$149$	−13.5404	+	13.5404i	−1.10927	+	1.10927i	−0.993246	+	0.116024i	$0.962985\pi$
$150$	−1.27418	+	3.99441i	−0.104037	+	0.326142i
$151$	12.8339	+	12.8339i	1.04441	+	1.04441i	0.998967	+	0.0454379i	$0.0144683\pi$
$151$	12.8339	+	12.8339i	1.04441	+	1.04441i	0.0454379	+	0.998967i	$0.485532\pi$
$152$	1.07516	−	0.620746i	0.0872073	−	0.0503492i
$153$	7.80287	+	0.735457i	0.630825	+	0.0594581i
$154$	−0.990765	+	0.775890i	−0.0798381	+	0.0625230i
$155$	14.5997	−	8.42915i	1.17268	−	0.677046i
$156$	6.39089	+	18.5786i	0.511680	+	1.48748i
$157$	−10.5118	+	6.06899i	−0.838933	+	0.484358i	−0.856901	−	0.515480i	$-0.827614\pi$
$157$	−10.5118	+	6.06899i	−0.838933	+	0.484358i	0.0179682	+	0.999839i	$0.494280\pi$
$158$	7.73981	+	2.07388i	0.615746	+	0.164989i
$159$	6.87803	+	13.3215i	0.545463	+	1.05646i
$160$	−7.50577	−	13.0004i	−0.593383	−	1.02777i
$161$	3.27884	−	8.14212i	0.258409	−	0.641689i
$162$	18.3861	+	8.87590i	1.44455	+	0.697357i
$163$	−2.86911	+	10.7077i	−0.224726	+	0.838690i	0.757788	+	0.652501i	$0.226280\pi$
$163$	−2.86911	+	10.7077i	−0.224726	+	0.838690i	−0.982514	+	0.186189i	$0.940386\pi$
$164$	−8.95182	+	8.95182i	−0.699020	+	0.699020i
$165$	−0.752813	−	0.483154i	−0.0586064	−	0.0376135i
$166$	34.5552			2.68200
$167$	2.19569	+	8.19443i	0.169908	+	0.634104i	0.997363	+	0.0725728i	$0.0231210\pi$
$167$	2.19569	+	8.19443i	0.169908	+	0.634104i	−0.827455	+	0.561531i	$0.810212\pi$
$168$	−11.7460	−	1.99238i	−0.906225	−	0.153715i
$169$	9.45325	−	8.92391i	0.727173	−	0.686454i
$170$	−7.29879	−	12.6419i	−0.559791	−	0.969587i
$171$	−1.41247	+	0.239295i	−0.108014	+	0.0182994i
$172$	−11.8001	+	20.4383i	−0.899746	+	1.55841i
$173$	−9.07831	+	15.7241i	−0.690211	+	1.19548i	0.281557	+	0.959544i	$0.409149\pi$
$173$	−9.07831	+	15.7241i	−0.690211	+	1.19548i	−0.971769	+	0.235936i	$0.924184\pi$
$174$	5.83263	+	26.7335i	0.442171	+	2.02666i
$175$	−1.05462	+	2.61886i	−0.0797217	+	0.197967i
$176$	0.0798908	−	0.0214067i	0.00602199	−	0.00161359i
$177$	2.92288	−	2.66034i	0.219697	−	0.199964i
$178$		−	11.8208i		−	0.886003i
$179$	1.35594	+	0.782854i	0.101348	+	0.0585133i	0.549817	−	0.835285i	$-0.314697\pi$
$179$	1.35594	+	0.782854i	0.101348	+	0.0585133i	−0.448469	+	0.893798i	$0.648031\pi$
$180$	−3.88317	−	22.9209i	−0.289434	−	1.70842i
$181$	7.63912			0.567811			0.283906	−	0.958852i	$-0.408370\pi$
$181$	7.63912			0.567811			0.283906	+	0.958852i	$0.408370\pi$
$182$	5.50606	+	20.9278i	0.408136	+	1.55127i
$183$	−18.0747	+	9.33213i	−1.33612	+	0.689851i
$184$	6.09886	−	6.09886i	0.449614	−	0.449614i
$185$	23.2040	−	13.3969i	1.70599	−	0.984956i
$186$	−14.5250	+	22.6318i	−1.06503	+	1.65944i
$187$	0.529099	−	0.141772i	0.0386916	−	0.0103674i
$188$	−2.11256	−	2.11256i	−0.154074	−	0.154074i
$189$	11.9045	+	6.87624i	0.865926	+	0.500173i
$190$	1.88676	+	1.88676i	0.136880	+	0.136880i
$191$	−0.316906	+	0.548897i	−0.0229305	+	0.0397168i	−0.877263	−	0.480010i	$-0.840633\pi$
$191$	−0.316906	+	0.548897i	−0.0229305	+	0.0397168i	0.854332	+	0.519727i	$0.173966\pi$
$192$	19.0025	+	12.1958i	1.37139	+	0.880155i
$193$	5.39730	−	20.1430i	0.388506	−	1.44992i	−0.444059	−	0.895997i	$-0.646462\pi$
$193$	5.39730	−	20.1430i	0.388506	−	1.44992i	0.832565	−	0.553927i	$-0.186871\pi$
$194$	35.7683			2.56801
$195$	−12.7551	+	8.59786i	−0.913413	+	0.615706i
$196$	−21.3803	−	5.27898i	−1.52716	−	0.377070i
$197$	−9.75420	+	9.75420i	−0.694958	+	0.694958i	−0.963319	−	0.268361i	$-0.913518\pi$
$197$	−9.75420	+	9.75420i	−0.694958	+	0.694958i	0.268361	+	0.963319i	$0.413518\pi$
$198$	1.42062	+	0.133900i	0.100959	+	0.00951584i
$199$	6.29110	−	10.8965i	0.445965	−	0.772433i	−0.552154	−	0.833742i	$-0.686194\pi$
$199$	6.29110	−	10.8965i	0.445965	−	0.772433i	0.998119	+	0.0613086i	$0.0195274\pi$
$200$	−1.96166	+	1.96166i	−0.138710	+	0.138710i
$201$	−6.23736	+	5.67711i	−0.439950	+	0.400432i
$202$	1.90369	+	7.10466i	0.133943	+	0.499882i
$203$	2.58504	+	18.2426i	0.181434	+	1.28038i
$204$	11.9806	+	7.68910i	0.838808	+	0.538345i
$205$	−8.58383	−	4.95588i	−0.599521	−	0.346134i
$206$	3.62370	+	13.5238i	0.252475	+	0.942249i
$207$	−9.04830	+	4.14560i	−0.628901	+	0.288139i
$208$	0.205928	−	1.40729i	0.0142785	−	0.0975782i
$209$	−0.0867109	+	0.0500626i	−0.00599792	+	0.00346290i
$210$	−2.39772	−	25.4932i	−0.165458	−	1.75920i
$211$	−10.4851	+	18.1608i	−0.721826	+	1.25024i	0.238441	+	0.971157i	$0.423364\pi$
$211$	−10.4851	+	18.1608i	−0.721826	+	1.25024i	−0.960267	+	0.279082i	$0.909970\pi$
$212$			27.2317i			1.87028i
$213$	−1.38416	−	6.34421i	−0.0948412	−	0.434698i
$214$	3.96283	−	3.96283i	0.270894	−	0.270894i
$215$	−17.8477	−	4.78228i	−1.21720	−	0.326149i
$216$	8.11545	+	10.7996i	0.552186	+	0.734821i
$217$	−10.8812	+	14.4742i	−0.738667	+	0.982571i
$218$	6.78773	−	3.91890i	0.459723	−	0.265421i
$219$	−1.22854	−	0.391893i	−0.0830168	−	0.0264817i
$220$	−0.812391	−	1.40710i	−0.0547714	−	0.0948668i
$221$	1.36382	−	9.32019i	0.0917402	−	0.626944i
$222$	−23.0853	+	35.9698i	−1.54938	+	2.41413i
$223$	4.23951	−	15.8221i	0.283899	−	1.05952i	−0.665742	−	0.746182i	$-0.731885\pi$
$223$	4.23951	−	15.8221i	0.283899	−	1.05952i	0.949640	−	0.313342i	$-0.101449\pi$
$224$	12.8886	+	9.68924i	0.861155	+	0.647389i
$225$	2.91033	−	1.33341i	0.194022	−	0.0888937i
$226$	−21.7593	−	5.83040i	−1.44741	−	0.387832i
$227$	−12.2804	−	12.2804i	−0.815079	−	0.815079i	0.170311	−	0.985390i	$-0.445523\pi$
$227$	−12.2804	−	12.2804i	−0.815079	−	0.815079i	−0.985390	+	0.170311i	$0.945523\pi$
$228$	−2.47906	−	0.790799i	−0.164180	−	0.0523720i
$229$	13.1695	−	13.1695i	0.870267	−	0.870267i	−0.122235	−	0.992501i	$-0.539006\pi$
$229$	13.1695	−	13.1695i	0.870267	−	0.870267i	0.992501	+	0.122235i	$0.0390060\pi$
$230$	16.0539	+	9.26873i	1.05856	+	0.611162i
$231$	0.947304	+	0.160683i	0.0623281	+	0.0105722i
$232$	−4.68590	+	17.4880i	−0.307644	+	1.14814i
$233$	−18.9197	+	10.9233i	−1.23947	+	0.715608i	−0.968986	−	0.247117i	$-0.920517\pi$
$233$	−18.9197	+	10.9233i	−1.23947	+	0.715608i	−0.270483	+	0.962725i	$0.587183\pi$
$234$	11.7870	−	21.5210i	0.770542	−	1.40687i
$235$	1.16955	−	2.02572i	0.0762928	−	0.132143i
$236$	6.93423	−	1.85802i	0.451380	−	0.120947i
$237$	−2.80676	−	5.43619i	−0.182319	−	0.353118i
$238$	12.5332	+	9.42205i	0.812405	+	0.610741i
$239$	−7.68327	−	28.6743i	−0.496989	−	1.85479i	−0.518591	−	0.855022i	$-0.673543\pi$
$239$	−7.68327	−	28.6743i	−0.496989	−	1.85479i	0.0216018	−	0.999767i	$-0.493123\pi$
$240$	−0.511447	+	1.60332i	−0.0330138	+	0.103494i
$241$	3.91954	−	3.91954i	0.252480	−	0.252480i	−0.569507	−	0.821987i	$-0.692866\pi$
$241$	3.91954	−	3.91954i	0.252480	−	0.252480i	0.821987	+	0.569507i	$0.192866\pi$
$242$	−24.0068	+	6.43260i	−1.54322	+	0.413503i
$243$	−4.43748	−	14.9435i	−0.284664	−	0.958627i
$244$	−36.9480			−2.36535
$245$	−0.340201	−	17.2387i	−0.0217346	−	1.10134i
$246$	15.7935	+	0.742660i	1.00696	+	0.0473503i
$247$	0.200135	+	1.71010i	0.0127343	+	0.108811i
$248$	−15.4097	+	8.89681i	−0.978519	+	0.564948i
$249$	−17.7592	−	19.5118i	−1.12545	−	1.23651i
$250$	19.0315	+	10.9878i	1.20366	+	0.694931i
$251$	−8.28887			−0.523189			−0.261594	−	0.965178i	$-0.584248\pi$
$251$	−8.28887			−0.523189			−0.261594	+	0.965178i	$0.584248\pi$
$252$	13.4833	+	21.0179i	0.849368	+	1.32400i
$253$	−0.491867	+	0.491867i	−0.0309234	+	0.0309234i
$254$	−26.7945	+	7.17957i	−1.68124	+	0.450487i
$255$	−3.38720	+	10.6185i	−0.212115	+	0.664954i
$256$	6.68118	+	11.5721i	0.417573	+	0.723259i
$257$	7.72143			0.481650			0.240825	−	0.970569i	$-0.422582\pi$
$257$	7.72143			0.481650			0.240825	+	0.970569i	$0.422582\pi$
$258$	28.7971	−	6.28286i	1.79283	−	0.391154i
$259$	−17.2941	+	23.0045i	−1.07460	+	1.42943i
$260$	−27.7507	+	3.24770i	−1.72102	+	0.201414i
$261$	12.0977	−	17.0328i	0.748826	−	1.05430i
$262$	24.6039	−	6.59261i	1.52004	−	0.407293i
$263$	3.41269			0.210435			0.105218	−	0.994449i	$-0.466446\pi$
$263$	3.41269			0.210435			0.105218	+	0.994449i	$0.466446\pi$
$264$	0.794581	+	0.509960i	0.0489031	+	0.0313859i
$265$	−20.5941	+	5.51817i	−1.26508	+	0.338978i
$266$	−2.65861	−	1.07063i	−0.163010	−	0.0656444i
$267$	−6.67468	+	6.07514i	−0.408484	+	0.371793i
$268$	−14.7975	+	3.96498i	−0.903901	+	0.242200i
$269$	21.0264	+	12.1396i	1.28200	+	0.740164i	0.977214	−	0.212256i	$-0.0680811\pi$
$269$	21.0264	+	12.1396i	1.28200	+	0.740164i	0.304788	+	0.952420i	$0.401414\pi$
$270$	−17.9058	+	22.8552i	−1.08971	+	1.39093i
$271$	18.6499	+	4.99722i	1.13290	+	0.303560i	0.776093	−	0.630618i	$-0.217199\pi$
$271$	18.6499	+	4.99722i	1.13290	+	0.303560i	0.356807	+	0.934178i	$0.383865\pi$
$272$	−0.515273	−	0.892479i	−0.0312430	−	0.0541145i
$273$	8.98728	−	13.8647i	0.543935	−	0.839127i
$274$	−15.8417	+	27.4386i	−0.957030	+	1.65762i
$275$	0.158206	−	0.158206i	0.00954016	−	0.00954016i
$276$	−18.0580	−	0.849143i	−1.08696	−	0.0511124i
$277$			8.69403i			0.522374i	0.965288	+	0.261187i	$0.0841139\pi$
$277$			8.69403i			0.522374i	−0.965288	+	0.261187i	$0.915886\pi$
$278$	−6.33337	+	23.6364i	−0.379850	+	1.41762i
$279$	20.2442	−	3.42969i	1.21199	−	0.205330i
$280$	6.32890	−	15.7161i	0.378224	−	0.939217i
$281$	−5.73611	+	21.4074i	−0.342187	+	1.27706i	0.553676	+	0.832732i	$0.313224\pi$
$281$	−5.73611	+	21.4074i	−0.342187	+	1.27706i	−0.895864	+	0.444329i	$0.853442\pi$
$282$	−0.175262	+	3.72714i	−0.0104367	+	0.221948i
$283$	1.12579	+	1.94993i	0.0669213	+	0.115911i	0.897545	−	0.440924i	$-0.145349\pi$
$283$	1.12579	+	1.94993i	0.0669213	+	0.115911i	−0.830623	+	0.556835i	$0.812016\pi$
$284$	3.05265	−	11.3926i	0.181141	−	0.676029i
$285$	0.0956942	−	2.03505i	0.00566844	−	0.120546i
$286$	0.248301	−	1.69687i	0.0146823	−	0.100338i
$287$	10.5687	+	1.28545i	0.623850	+	0.0758776i
$288$	−3.05398	−	18.0265i	−0.179957	−	1.06222i
$289$	5.08746	+	8.81174i	0.299262	+	0.518338i
$290$	−38.9119			−2.28499
$291$	−18.3827	−	20.1968i	−1.07761	−	1.18396i
$292$	−1.65623	−	1.65623i	−0.0969236	−	0.0969236i
$293$	1.15706	+	4.31819i	0.0675959	+	0.252271i	0.991453	−	0.130467i	$-0.0416477\pi$
$293$	1.15706	+	4.31819i	0.0675959	+	0.252271i	−0.923857	+	0.382738i	$0.874981\pi$
$294$	13.0977	+	24.1851i	0.763876	+	1.41050i
$295$	2.81028	+	4.86754i	0.163621	+	0.283399i
$296$	−24.4914	+	14.1401i	−1.42353	+	0.821878i
$297$	−0.654503	−	0.870979i	−0.0379781	−	0.0505393i
$298$	37.6195	+	21.7196i	2.17924	+	1.25818i
$299$	4.41798	+	11.1160i	0.255498	+	0.642854i
$300$	5.80824	+	0.273121i	0.335339	+	0.0157687i
$301$	19.6508	−	2.78458i	1.13265	−	0.160500i
$302$	20.5864	−	35.6566i	1.18461	−	2.05181i
$303$	3.03332	−	4.72629i	0.174260	−	0.271518i
$304$	0.133199	+	0.133199i	0.00763951	+	0.00763951i
$305$	−7.48706	−	27.9421i	−0.428708	−	1.59996i
$306$	−2.96976	−	17.5294i	−0.169770	−	1.00209i
$307$	−8.59086	+	8.59086i	−0.490306	+	0.490306i	−0.908403	−	0.418096i	$-0.862697\pi$
$307$	−8.59086	+	8.59086i	−0.490306	+	0.490306i	0.418096	+	0.908403i	$0.362697\pi$
$308$	1.39500	+	1.04872i	0.0794877	+	0.0597564i
$309$	5.77397	−	8.99657i	0.328470	−	0.511797i
$310$	−27.0418	−	27.0418i	−1.53587	−	1.53587i
$311$	1.03544	+	1.79344i	0.0587145	+	0.101697i	0.893889	−	0.448289i	$-0.147966\pi$
$311$	1.03544	+	1.79344i	0.0587145	+	0.101697i	−0.835174	+	0.549986i	$0.814633\pi$
$312$	13.4628	−	9.07489i	0.762180	−	0.513764i
$313$	−22.0356	−	12.7222i	−1.24552	−	0.719104i	−0.275311	−	0.961355i	$-0.588781\pi$
$313$	−22.0356	−	12.7222i	−1.24552	−	0.719104i	−0.970214	+	0.242251i	$0.922114\pi$
$314$	19.4701	+	19.4701i	1.09876	+	1.09876i
$315$	−13.1626	+	14.4558i	−0.741631	+	0.814494i
$316$		−	11.1126i		−	0.625132i
$317$	−6.63114	−	24.7478i	−0.372442	−	1.38997i	−0.857047	−	0.515239i	$-0.827703\pi$
$317$	−6.63114	−	24.7478i	−0.372442	−	1.38997i	0.484605	−	0.874733i	$-0.338964\pi$
$318$	25.1517	−	22.8925i	1.41044	−	1.28375i
$319$	0.377913	−	1.41039i	0.0211591	−	0.0789667i
$320$	−22.7054	+	22.7054i	−1.26927	+	1.26927i
$321$	−4.27430	−	0.200991i	−0.238568	−	0.0112182i
$322$	−19.7661	−	2.40411i	−1.10152	−	0.133976i
$323$	0.882150	+	0.882150i	0.0490841	+	0.0490841i
$324$	5.29053	−	27.8158i	0.293919	−	1.54532i
$325$	−1.42101	−	3.57538i	−0.0788236	−	0.198326i
$326$	25.1471			1.39277
$327$	−5.70131	−	1.81867i	−0.315283	−	0.100573i
$328$	9.06008	+	5.23084i	0.500259	+	0.288825i
$329$	−0.303356	+	2.49412i	−0.0167245	+	0.137506i
$330$	−0.616685	+	1.93323i	−0.0339474	+	0.106421i
$331$	4.41339	+	16.4710i	0.242582	+	0.905328i	0.974583	+	0.224025i	$0.0719197\pi$
$331$	4.41339	+	16.4710i	0.242582	+	0.905328i	−0.732001	+	0.681303i	$0.761414\pi$
$332$	−12.4033	−	46.2898i	−0.680720	−	2.54048i
$333$	32.1751	−	5.45097i	1.76318	−	0.298711i
$334$	16.6664	−	9.62237i	0.911947	−	0.526513i
$335$	−5.99707	−	10.3872i	−0.327655	−	0.567515i
$336$	−0.169272	−	1.79974i	−0.00923452	−	0.0981841i
$337$	−17.6057	−	10.1647i	−0.959045	−	0.553705i	−0.0631658	−	0.998003i	$-0.520120\pi$
$337$	−17.6057	−	10.1647i	−0.959045	−	0.553705i	−0.895879	+	0.444298i	$0.853453\pi$
$338$	−25.1043	−	15.4744i	−1.36549	−	0.841697i
$339$	7.89079	+	15.2831i	0.428569	+	0.830061i
$340$	−14.3151	+	14.3151i	−0.776345	+	0.776345i
$341$	1.24278	−	0.717519i	0.0673002	−	0.0388558i
$342$	1.35365	+	2.95450i	0.0731968	+	0.159761i
$343$	7.59066	+	16.8932i	0.409857	+	0.912150i
$344$	18.8379	+	5.04760i	1.01567	+	0.272149i
$345$	−3.01707	−	13.8285i	−0.162433	−	0.744502i
$346$	39.7847	+	10.6603i	2.13884	+	0.573100i
$347$	−1.23911	−	2.14620i	−0.0665190	−	0.115214i	0.830848	−	0.556500i	$-0.187856\pi$
$347$	−1.23911	−	2.14620i	−0.0665190	−	0.115214i	−0.897367	+	0.441285i	$0.854523\pi$
$348$	33.7184	−	17.4091i	1.80749	−	0.933227i
$349$	26.8029	+	7.18182i	1.43473	+	0.384434i	0.890684	−	0.454624i	$-0.150226\pi$
$349$	26.8029	+	7.18182i	1.43473	+	0.384434i	0.544043	+	0.839057i	$0.316893\pi$
$350$	6.35763	+	0.773266i	0.339829	+	0.0413328i
$351$	−18.2098	+	4.40485i	−0.971968	+	0.235114i
$352$	−0.638917	−	1.10664i	−0.0340544	−	0.0589839i
$353$	−3.25539	−	3.25539i	−0.173267	−	0.173267i	0.615146	−	0.788413i	$-0.289097\pi$
$353$	−3.25539	−	3.25539i	−0.173267	−	0.173267i	−0.788413	+	0.615146i	$0.789097\pi$
$354$	−7.54543	−	4.84264i	−0.401035	−	0.257383i
$355$	9.23432			0.490107
$356$	−15.8350	+	4.24297i	−0.839252	+	0.224877i
$357$	−1.12105	−	11.9193i	−0.0593322	−	0.630837i
$358$	0.919272	−	3.43077i	0.0485850	−	0.181322i
$359$	7.63807	−	28.5057i	0.403122	−	1.50447i	−0.404371	−	0.914595i	$-0.632510\pi$
$359$	7.63807	−	28.5057i	0.403122	−	1.50447i	0.807493	−	0.589877i	$-0.200824\pi$
$360$	−17.4652	+	8.00193i	−0.920499	+	0.421739i
$361$	16.2570	+	9.38598i	0.855631	+	0.493999i
$362$	−4.48514	−	16.7388i	−0.235734	−	0.879771i
$363$	15.9702	+	10.2497i	0.838220	+	0.537968i
$364$	26.0584	−	14.8878i	1.36583	−	0.780330i
$365$	0.916917	−	1.58815i	0.0479936	−	0.0831274i
$366$	31.0607	+	34.1259i	1.62357	+	1.78379i
$367$			25.0310i			1.30661i	0.757097	+	0.653303i	$0.226617\pi$
$367$			25.0310i			1.30661i	−0.757097	+	0.653303i	$0.773383\pi$
$368$	1.13336	+	0.654345i	0.0590804	+	0.0341101i
$369$	−7.69755	−	9.29961i	−0.400718	−	0.484118i
$370$	−42.9788	−	42.9788i	−2.23436	−	2.23436i
$371$	18.0303	−	14.1199i	0.936086	−	0.733070i
$372$	35.5310	+	11.3341i	1.84220	+	0.587645i
$373$	−10.8410			−0.561327			−0.280664	−	0.959806i	$-0.590555\pi$
$373$	−10.8410			−0.561327			−0.280664	+	0.959806i	$0.590555\pi$
$374$	−0.621298	−	1.07612i	−0.0321266	−	0.0556449i
$375$	−3.57665	−	16.3933i	−0.184697	−	0.846548i
$376$	−1.23444	+	2.13810i	−0.0636611	+	0.110264i
$377$	−19.6981	−	15.5706i	−1.01450	−	0.801924i
$378$	8.07770	−	30.1223i	0.415472	−	1.54933i
$379$	−15.8038	+	15.8038i	−0.811789	+	0.811789i	−0.984902	−	0.173113i	$-0.944617\pi$
$379$	−15.8038	+	15.8038i	−0.811789	+	0.811789i	0.173113	+	0.984902i	$0.444617\pi$
$380$	1.85024	−	3.20472i	0.0949155	−	0.164399i
$381$	17.8248	+	11.4399i	0.913190	+	0.586083i
$382$	1.38880	+	0.372129i	0.0710573	+	0.0190398i
$383$	−6.82095	−	6.82095i	−0.348534	−	0.348534i	0.511029	−	0.859563i	$-0.329264\pi$
$383$	−6.82095	−	6.82095i	−0.348534	−	0.348534i	−0.859563	+	0.511029i	$0.829264\pi$
$384$	9.15042	−	28.6855i	0.466955	−	1.46385i
$385$	−0.510419	+	1.26749i	−0.0260134	+	0.0645972i
$386$	−47.3061			−2.40782
$387$	−18.3476	−	13.0315i	−0.932660	−	0.662427i
$388$	−12.8388	−	47.9149i	−0.651789	−	2.43251i
$389$		−	22.8527i		−	1.15868i	−0.815086	−	0.579339i	$-0.803311\pi$
$389$		−	22.8527i		−	1.15868i	0.815086	−	0.579339i	$-0.196689\pi$
$390$	26.3285	+	22.9009i	1.33319	+	1.15963i
$391$	7.50598	+	4.33358i	0.379594	+	0.219159i
$392$	0.359076	+	18.1951i	0.0181361	+	0.918990i
$393$	−16.3675	−	10.5046i	−0.825631	−	0.529888i
$394$	27.1003	+	15.6464i	1.36529	+	0.788253i
$395$	8.40395	−	2.25183i	0.422848	−	0.113302i
$396$	−0.330549	−	1.95111i	−0.0166107	−	0.0980469i
$397$	−17.6449	−	4.72794i	−0.885573	−	0.237289i	−0.212763	−	0.977104i	$-0.568246\pi$
$397$	−17.6449	−	4.72794i	−0.885573	−	0.237289i	−0.672810	+	0.739815i	$0.734913\pi$
$398$	−27.5701	−	7.38738i	−1.38196	−	0.370296i
$399$	0.761826	+	2.05144i	0.0381390	+	0.102701i
$400$	−0.364537	−	0.210466i	−0.0182269	−	0.0105233i
$401$	7.32440	+	7.32440i	0.365763	+	0.365763i	0.865929	−	0.500166i	$-0.166728\pi$
$401$	7.32440	+	7.32440i	0.365763	+	0.365763i	−0.500166	+	0.865929i	$0.666728\pi$
$402$	16.1018	+	10.3341i	0.803084	+	0.515417i
$403$	−2.86843	−	24.5099i	−0.142887	−	1.22093i
$404$	8.83403	−	5.10033i	0.439509	−	0.253751i
$405$	22.1079	−	1.63554i	1.09855	−	0.0812706i
$406$	38.4554	−	16.3751i	1.90851	−	0.812683i
$407$	1.97521	−	1.14039i	0.0979074	−	0.0565269i
$408$	3.57513	−	11.2076i	0.176995	−	0.554859i
$409$	5.12268	−	19.1181i	0.253300	−	0.945330i	−0.715728	−	0.698380i	$-0.753905\pi$
$409$	5.12268	−	19.1181i	0.253300	−	0.945330i	0.969028	−	0.246951i	$-0.0794286\pi$
$410$	−5.81948	+	21.7186i	−0.287403	+	1.07260i
$411$	23.6350	−	5.15662i	1.16583	−	0.254358i
$412$	16.8157	−	9.70855i	0.828450	−	0.478306i
$413$	−4.82569	−	3.62780i	−0.237457	−	0.178512i
$414$	14.3963	+	17.3926i	0.707541	+	0.854799i
$415$	32.4935	−	18.7601i	1.59504	−	0.920899i
$416$	−21.8249	+	2.55420i	−1.07006	+	0.125230i
$417$	16.6015	−	8.57150i	0.812977	−	0.419748i
$418$	0.160607	+	0.160607i	0.00785555	+	0.00785555i
$419$	−26.1346	−	15.0888i	−1.27676	−	0.737138i	−0.300509	−	0.953779i	$-0.597157\pi$
$419$	−26.1346	−	15.0888i	−1.27676	−	0.737138i	−0.976251	+	0.216641i	$0.930490\pi$
$420$	−33.2898	+	12.3625i	−1.62438	+	0.603231i
$421$	7.41783	+	1.98760i	0.361523	+	0.0968698i	0.435008	−	0.900426i	$-0.356745\pi$
$421$	7.41783	+	1.98760i	0.361523	+	0.0968698i	−0.0734851	+	0.997296i	$0.523412\pi$
$422$	45.9499	+	12.3122i	2.23681	+	0.599350i
$423$	2.19463	−	1.81656i	0.106707	−	0.0883241i
$424$	21.7367	−	5.82432i	1.05563	−	0.282854i
$425$	−2.41425	−	1.39387i	−0.117108	−	0.0676125i
$426$	−13.0887	+	6.75784i	−0.634151	+	0.327418i
$427$	19.1579	+	24.4635i	0.927118	+	1.18387i
$428$	−6.73101	−	3.88615i	−0.325355	−	0.187844i
$429$	−1.08576	+	0.731880i	−0.0524210	+	0.0353355i
$430$			41.9156i			2.02135i
$431$	9.38030	+	35.0078i	0.451833	+	1.68627i	0.697234	+	0.716843i	$0.254414\pi$
$431$	9.38030	+	35.0078i	0.451833	+	1.68627i	−0.245401	+	0.969422i	$0.578920\pi$
$432$	−1.26410	+	1.61351i	−0.0608189	+	0.0776302i
$433$	32.4764			1.56072			0.780358	−	0.625333i	$-0.215037\pi$
$433$	32.4764			1.56072			0.780358	+	0.625333i	$0.215037\pi$
$434$	38.1044	+	15.3447i	1.82907	+	0.736569i
$435$	19.9984	+	21.9719i	0.958848	+	1.05347i
$436$	−7.68612	−	7.68612i	−0.368098	−	0.368098i
$437$	−1.53028	−	0.410037i	−0.0732031	−	0.0196147i
$438$	−0.137404	+	2.92205i	−0.00656542	+	0.139621i
$439$	17.1158	−	29.6454i	0.816892	−	1.41490i	−0.0910689	−	0.995845i	$-0.529028\pi$
$439$	17.1158	−	29.6454i	0.816892	−	1.41490i	0.907961	−	0.419054i	$-0.137638\pi$
$440$	−0.949412	+	0.949412i	−0.0452615	+	0.0452615i
$441$	6.92486	−	19.8254i	0.329755	−	0.944067i
$442$	−21.2231	+	2.48377i	−1.00948	+	0.118141i
$443$	18.9842	−	32.8816i	0.901965	−	1.56225i	0.0770254	−	0.997029i	$-0.475458\pi$
$443$	18.9842	−	32.8816i	0.901965	−	1.56225i	0.824940	−	0.565221i	$-0.191209\pi$
$444$	56.4711	+	18.0138i	2.68000	+	0.854898i
$445$	−6.41753	−	11.1155i	−0.304220	−	0.526925i
$446$	−37.1584			−1.75950
$447$	−7.06996	−	32.4047i	−0.334398	−	1.53269i
$448$	12.8840	−	31.9940i	0.608713	−	1.51157i
$449$	2.15888	+	2.15888i	0.101884	+	0.101884i	0.756211	−	0.654327i	$-0.227048\pi$
$449$	2.15888	+	2.15888i	0.101884	+	0.101884i	−0.654327	+	0.756211i	$0.727048\pi$
$450$	−4.63049	−	5.59421i	−0.218283	−	0.263714i
$451$	−0.730686	−	0.421862i	−0.0344066	−	0.0198647i
$452$			31.2414i			1.46947i
$453$	−30.7139	+	6.70107i	−1.44307	+	0.314844i
$454$	−19.6986	+	34.1189i	−0.924500	+	1.60128i
$455$	16.5393	+	16.6899i	0.775377	+	0.782437i
$456$	−0.101004	+	2.14795i	−0.00472992	+	0.100587i
$457$	−3.16365	−	11.8069i	−0.147989	−	0.552303i	−0.999604	−	0.0281353i	$-0.991043\pi$
$457$	−3.16365	−	11.8069i	−0.147989	−	0.552303i	0.851615	−	0.524168i	$-0.175624\pi$
$458$	−36.5892	−	21.1248i	−1.70970	−	0.987096i
$459$	−8.37184	+	10.6859i	−0.390764	+	0.498777i
$460$	6.65388	−	24.8326i	0.310239	−	1.15783i
$461$	−9.02109	+	33.6672i	−0.420154	+	1.56804i	0.354129	+	0.935197i	$0.384777\pi$
$461$	−9.02109	+	33.6672i	−0.420154	+	1.56804i	−0.774283	+	0.632840i	$0.781889\pi$
$462$	−0.204102	−	2.17007i	−0.00949568	−	0.100961i
$463$	−28.0776	+	7.52337i	−1.30488	+	0.349641i	−0.843292	−	0.537455i	$-0.819386\pi$
$463$	−28.0776	+	7.52337i	−1.30488	+	0.349641i	−0.461585	+	0.887096i	$0.652719\pi$
$464$	−2.74707			−0.127529
$465$	−1.37153	+	29.1672i	−0.0636033	+	1.35260i
$466$	35.0433	+	35.0433i	1.62335	+	1.62335i
$467$	−11.8083	−	20.4526i	−0.546423	−	0.946432i	−0.998516	−	0.0544613i	$-0.982656\pi$
$467$	−11.8083	−	20.4526i	−0.546423	−	0.946432i	0.452093	−	0.891971i	$-0.350677\pi$
$468$	−33.0602	−	8.06499i	−1.52821	−	0.372804i
$469$	10.2979	+	7.74165i	0.475513	+	0.357476i
$470$	−5.12541	−	1.37335i	−0.236417	−	0.0633479i
$471$	0.987504	−	21.0004i	0.0455018	−	0.967647i
$472$	−2.96619	−	5.13760i	−0.136530	−	0.236477i
$473$	−1.51926	−	0.407084i	−0.0698556	−	0.0187177i
$474$	−10.2638	+	9.34189i	−0.471433	+	0.429087i
$475$	0.492204	+	0.131886i	0.0225839	+	0.00605133i
$476$	8.12301	−	20.1713i	0.372318	−	0.924550i
$477$	−25.8529	−	2.43676i	−1.18372	−	0.111571i
$478$	−58.3200	+	33.6711i	−2.66749	+	1.54008i
$479$	−3.93894	+	3.93894i	−0.179975	+	0.179975i	−0.791345	−	0.611370i	$-0.790619\pi$
$479$	−3.93894	+	3.93894i	−0.179975	+	0.179975i	0.611370	+	0.791345i	$0.290619\pi$
$480$	25.9720	+	1.22129i	1.18546	+	0.0557438i
$481$	−4.55893	−	38.9548i	−0.207869	−	1.77618i
$482$	−10.8897	−	6.28720i	−0.496014	−	0.286374i
$483$	8.80105	+	12.3966i	0.400462	+	0.564066i
$484$	17.2341	+	29.8504i	0.783369	+	1.35684i
$485$	33.6343	−	19.4187i	1.52725	−	0.881760i
$486$	−30.1388	+	18.4971i	−1.36712	+	0.839047i
$487$	4.90225	+	18.2954i	0.222142	+	0.829046i	0.983529	+	0.180748i	$0.0578520\pi$
$487$	4.90225	+	18.2954i	0.222142	+	0.829046i	−0.761387	+	0.648297i	$0.775481\pi$
$488$	7.90246	+	29.4924i	0.357727	+	1.33506i
$489$	−12.9241	−	14.1995i	−0.584447	−	0.642124i
$490$	−37.5735	+	10.8668i	−1.69740	+	0.490910i
$491$	8.74371	+	5.04818i	0.394598	+	0.227821i	0.684151	−	0.729341i	$-0.260173\pi$
$491$	8.74371	+	5.04818i	0.394598	+	0.227821i	−0.289552	+	0.957162i	$0.593506\pi$
$492$	−4.67410	−	21.4234i	−0.210725	−	0.965843i
$493$	−18.1932			−0.819382
$494$	3.62965	−	1.44258i	0.163306	−	0.0649049i
$495$	1.40855	−	0.645348i	0.0633098	−	0.0290062i
$496$	−1.90907	−	1.90907i	−0.0857199	−	0.0857199i
$497$	−9.12599	+	3.88603i	−0.409357	+	0.174312i
$498$	−32.3273	+	50.3699i	−1.44862	+	2.25713i
$499$	−10.2554	+	10.2554i	−0.459095	+	0.459095i	−0.898358	−	0.439264i	$-0.855239\pi$
$499$	−10.2554	+	10.2554i	−0.459095	+	0.459095i	0.439264	+	0.898358i	$0.355239\pi$
$500$	7.88800	−	29.4384i	0.352762	−	1.31653i
$501$	−13.9989	−	4.46552i	−0.625424	−	0.199505i
$502$	4.86663	+	18.1625i	0.217208	+	0.810632i
$503$			40.4517i			1.80365i	0.432099	+	0.901826i	$0.357773\pi$
$503$			40.4517i			1.80365i	−0.432099	+	0.901826i	$0.642227\pi$
$504$	13.8929	−	15.2579i	0.618840	−	0.679639i
$505$	5.64726	+	5.64726i	0.251300	+	0.251300i
$506$	1.36656	+	0.788986i	0.0607512	+	0.0350747i
$507$	4.16431	+	22.1282i	0.184944	+	0.982749i
$508$	19.2354	+	33.3167i	0.853433	+	1.47819i
$509$	4.32857	+	4.32857i	0.191860	+	0.191860i	0.796499	−	0.604639i	$-0.206683\pi$
$509$	4.32857	+	4.32857i	0.191860	+	0.191860i	−0.604639	+	0.796499i	$0.706683\pi$
$510$	25.2558	+	1.18761i	1.11835	+	0.0525882i
$511$	−0.237829	+	1.95538i	−0.0105209	+	0.0865008i
$512$	−3.15028	+	3.15028i	−0.139224	+	0.139224i
$513$	0.972593	−	2.28278i	0.0429410	−	0.100787i
$514$	−4.53347	−	16.9192i	−0.199963	−	0.746272i
$515$	10.7496	+	10.7496i	0.473685	+	0.473685i
$516$	−18.7530	−	36.3211i	−0.825553	−	1.59895i
$517$	0.0995559	−	0.172436i	0.00437847	−	0.00758372i
$518$	60.5612	+	24.3881i	2.66091	+	1.07155i
$519$	−14.4275	−	27.9434i	−0.633296	−	1.22658i
$520$	8.52768	+	21.4563i	0.373963	+	0.940922i
$521$	11.9848	+	6.91942i	0.525063	+	0.303145i	0.739004	−	0.673701i	$-0.235297\pi$
$521$	11.9848	+	6.91942i	0.525063	+	0.303145i	−0.213941	+	0.976847i	$0.568630\pi$
$522$	−44.4251	−	16.5078i	−1.94443	−	0.722529i
$523$	−2.08274	+	1.20247i	−0.0910718	+	0.0525804i	−0.544844	−	0.838537i	$-0.683411\pi$
$523$	−2.08274	+	1.20247i	−0.0910718	+	0.0525804i	0.453772	+	0.891118i	$0.350078\pi$
$524$	−17.6628	−	30.5929i	−0.771603	−	1.33646i
$525$	−2.83080	−	3.98729i	−0.123546	−	0.174020i
$526$	−2.00369	−	7.47786i	−0.0873648	−	0.326050i
$527$	−12.6434	−	12.6434i	−0.550754	−	0.550754i
$528$	−0.0435362	+	0.136481i	−0.00189467	+	0.00593956i
$529$	11.9936			0.521460
$530$	24.1827	+	41.8857i	1.05043	+	1.81940i
$531$	1.14346	+	6.74941i	0.0496218	+	0.292899i
$532$	−0.479914	+	3.94575i	−0.0208069	+	0.171070i
$533$	−11.6366	+	8.66577i	−0.504037	+	0.375356i
$534$	17.2307	+	11.0586i	0.745646	+	0.478553i
$535$	1.57496	−	5.87784i	0.0680915	−	0.254121i
$536$	6.32979	+	10.9635i	0.273405	+	0.473552i
$537$	−2.40966	+	1.24413i	−0.103985	+	0.0536882i
$538$	14.2550	−	53.2004i	0.614577	−	2.29363i
$539$	−0.0289591	−	1.46741i	−0.00124736	−	0.0632060i
$540$	37.0439	+	15.7828i	1.59411	+	0.679182i
$541$	−5.45558	+	20.3605i	−0.234554	+	0.875366i	0.743796	+	0.668407i	$0.233023\pi$
$541$	−5.45558	+	20.3605i	−0.234554	+	0.875366i	−0.978350	+	0.206959i	$0.933643\pi$
$542$		−	43.7996i		−	1.88135i
$543$	−7.14660	+	11.1353i	−0.306690	+	0.477861i
$544$	−11.2583	+	11.2583i	−0.482697	+	0.482697i
$545$	4.25517	−	7.37016i	0.182271	−	0.315703i
$546$	−35.6568	−	11.5525i	−1.52597	−	0.494403i
$547$	1.38303	+	2.39548i	0.0591341	+	0.102423i	0.894077	−	0.447913i	$-0.147833\pi$
$547$	1.38303	+	2.39548i	0.0591341	+	0.102423i	−0.834943	+	0.550337i	$0.814499\pi$
$548$	42.4427	+	11.3725i	1.81306	+	0.485809i
$549$	3.30620	−	35.0773i	0.141105	−	1.49706i
$550$	−0.439547	−	0.253772i	−0.0187423	−	0.0108209i
$551$	3.21221	−	0.860708i	0.136845	−	0.0366674i
$552$	3.18446	+	14.5957i	0.135540	+	0.621236i
$553$	−7.35773	+	5.76200i	−0.312882	+	0.245025i
$554$	19.0503	−	5.10451i	0.809370	−	0.216870i
$555$	−2.17984	+	46.3568i	−0.0925291	+	1.96774i
$556$	33.9365			1.43923
$557$	31.1007	−	8.33340i	1.31778	−	0.353098i	0.469633	−	0.882862i	$-0.344386\pi$
$557$	31.1007	−	8.33340i	1.31778	−	0.353098i	0.848145	+	0.529764i	$0.177719\pi$
$558$	−19.4010	−	42.3453i	−0.821312	−	1.79262i
$559$	−16.7724	+	21.2186i	−0.709399	+	0.897451i
$560$	2.55190	+	0.310383i	0.107837	+	0.0131161i
$561$	−0.288330	+	0.903881i	−0.0121733	+	0.0381619i
$562$	50.2757			2.12075
$563$	3.58943	+	6.21708i	0.151276	+	0.262019i	0.931697	−	0.363236i	$-0.118328\pi$
$563$	3.58943	+	6.21708i	0.151276	+	0.262019i	−0.780421	+	0.625255i	$0.784995\pi$
$564$	5.05576	−	1.10305i	0.212886	−	0.0464468i
$565$	−23.6265	+	6.33069i	−0.993973	+	0.266334i
$566$	3.61168	−	3.61168i	0.151810	−	0.151810i
$567$	−21.1602	+	10.9199i	−0.888647	+	0.458592i
$568$	−9.74666			−0.408961
$569$	22.2400	+	12.8403i	0.932349	+	0.538292i	0.887554	−	0.460704i	$-0.152403\pi$
$569$	22.2400	+	12.8403i	0.932349	+	0.538292i	0.0447951	+	0.998996i	$0.485737\pi$
$570$	−4.51537	+	0.985150i	−0.189128	+	0.0412634i
$571$	−21.2124	+	12.2470i	−0.887711	+	0.512520i	−0.873193	−	0.487374i	$-0.837955\pi$
$571$	−21.2124	+	12.2470i	−0.887711	+	0.512520i	−0.0145180	+	0.999895i	$0.504621\pi$
$572$	−2.36223	+	0.276455i	−0.0987699	+	0.0115592i
$573$	−0.503634	−	0.975450i	−0.0210396	−	0.0407500i
$574$	−3.38851	−	23.9128i	−0.141434	−	0.998099i
$575$	3.54014			0.147634
$576$	−35.5548	+	16.2899i	−1.48145	+	0.678745i
$577$	25.0902	−	6.72289i	1.04452	−	0.279878i	0.304533	−	0.952502i	$-0.401499\pi$
$577$	25.0902	−	6.72289i	1.04452	−	0.279878i	0.739984	+	0.672624i	$0.234833\pi$
$578$	16.3212	−	16.3212i	0.678874	−	0.678874i
$579$	24.3124	+	26.7118i	1.01039	+	1.11010i
$580$	13.9671	+	52.1261i	0.579954	+	2.16442i
$581$	−24.2176	+	32.2141i	−1.00471	+	1.33647i
$582$	−33.4622	+	52.1382i	−1.38705	+	2.16120i
$583$	−1.75304	+	0.469726i	−0.0726035	+	0.0194540i
$584$	−0.967789	+	1.67626i	−0.0400474	+	0.0693641i
$585$	−0.600068	−	26.6362i	−0.0248098	−	1.10127i
$586$	8.78265	−	5.07066i	0.362808	−	0.209467i
$587$	−4.11772	+	15.3675i	−0.169956	+	0.634286i	0.827400	+	0.561614i	$0.189819\pi$
$587$	−4.11772	+	15.3675i	−0.169956	+	0.634286i	−0.997356	+	0.0726721i	$0.976847\pi$
$588$	27.6968	−	26.2267i	1.14220	−	1.08157i
$589$	2.83047	+	1.63417i	0.116627	+	0.0673348i
$590$	9.01573	−	9.01573i	0.371172	−	0.371172i
$591$	−5.09306	−	23.3437i	−0.209500	−	0.960231i
$592$	−3.03418	−	3.03418i	−0.124704	−	0.124704i
$593$	−42.3837	−	11.3567i	−1.74049	−	0.466363i	−0.757935	−	0.652330i	$-0.773792\pi$
$593$	−42.3837	−	11.3567i	−1.74049	−	0.466363i	−0.982556	+	0.185966i	$0.940458\pi$
$594$	−1.52421	+	1.94552i	−0.0625389	+	0.0798256i
$595$	16.9007	+	2.05560i	0.692860	+	0.0842712i
$596$	15.5922	−	58.1909i	0.638681	−	2.38359i
$597$	9.99798	+	19.3643i	0.409190	+	0.792528i
$598$	21.7633	−	16.2072i	0.889969	−	0.662760i
$599$	−15.9003	−	27.5402i	−0.649670	−	1.12526i	−0.983202	−	0.182523i	$-0.941574\pi$
$599$	−15.9003	−	27.5402i	−0.649670	−	1.12526i	0.333531	−	0.942739i	$-0.391760\pi$
$600$	−1.02426	−	4.69463i	−0.0418152	−	0.191657i
$601$	5.58164	−	3.22256i	0.227680	−	0.131451i	−0.381821	−	0.924236i	$-0.624703\pi$
$601$	5.58164	−	3.22256i	0.227680	−	0.131451i	0.609501	+	0.792785i	$0.291370\pi$
$602$	−17.6391	−	41.4238i	−0.718916	−	1.68831i
$603$	−2.44011	−	14.4031i	−0.0993690	−	0.586539i
$604$	−55.1546	−	14.7786i	−2.24421	−	0.601334i
$605$	−19.0822	+	19.0822i	−0.775802	+	0.775802i
$606$	−12.1372	−	3.87166i	−0.493039	−	0.157275i
$607$			16.3251i			0.662613i	0.943523	+	0.331307i	$0.107489\pi$
$607$			16.3251i			0.662613i	−0.943523	+	0.331307i	$0.892511\pi$
$608$	1.45515	−	2.52040i	0.0590142	−	0.102216i
$609$	−29.0101	−	13.2984i	−1.17555	−	0.538877i
$610$	−56.8307	+	32.8112i	−2.30101	+	1.32849i
$611$	−2.04505	−	2.74614i	−0.0827340	−	0.111097i
$612$	−22.4163	+	10.2703i	−0.906124	+	0.415153i
$613$	4.36834	+	16.3029i	0.176436	+	0.658467i	0.996303	+	0.0859127i	$0.0273806\pi$
$613$	4.36834	+	16.3029i	0.176436	+	0.658467i	−0.819867	+	0.572554i	$0.805953\pi$
$614$	23.8682	+	13.7803i	0.963241	+	0.556128i
$615$	15.2544	−	7.87601i	0.615117	−	0.317591i
$616$	0.538738	−	1.33781i	0.0217064	−	0.0539019i
$617$	−0.768991	−	2.86991i	−0.0309584	−	0.115538i	0.948718	−	0.316125i	$-0.102382\pi$
$617$	−0.768991	−	2.86991i	−0.0309584	−	0.115538i	−0.979676	+	0.200587i	$0.935715\pi$
$618$	−23.1033	−	7.36975i	−0.929350	−	0.296455i
$619$	9.15802	−	9.15802i	0.368092	−	0.368092i	−0.498689	−	0.866781i	$-0.666185\pi$
$619$	9.15802	−	9.15802i	0.368092	−	0.368092i	0.866781	+	0.498689i	$0.166185\pi$
$620$	−26.5185	+	45.9314i	−1.06501	+	1.84465i
$621$	2.42202	−	17.0677i	0.0971925	−	0.684904i
$622$	3.32183	−	3.32183i	0.133193	−	0.133193i
$623$	11.0199	+	8.28443i	0.441504	+	0.331909i
$624$	1.85871	+	1.61673i	0.0744081	+	0.0647212i
$625$	29.1967			1.16787
$626$	−14.9392	+	55.7538i	−0.597090	+	2.22837i
$627$	0.00814583	−	0.173230i	0.000325313	−	0.00691815i
$628$	19.0934	−	33.0707i	0.761908	−	1.31966i
$629$	−20.0947	−	20.0947i	−0.801228	−	0.801228i
$630$	39.4037	+	20.3545i	1.56988	+	0.810942i
$631$	12.7439	+	12.7439i	0.507327	+	0.507327i	0.913705	−	0.406378i	$-0.133208\pi$
$631$	12.7439	+	12.7439i	0.507327	+	0.507327i	−0.406378	+	0.913705i	$0.633208\pi$
$632$	−8.87021	+	2.37677i	−0.352838	+	0.0945427i
$633$	−16.6632	−	32.2737i	−0.662304	−	1.28276i
$634$	−50.3338	+	29.0602i	−1.99901	+	1.15413i
$635$	−21.2981	+	21.2981i	−0.845188	+	0.845188i
$636$	−39.6947	−	25.4759i	−1.57400	−	1.01019i
$637$	−23.3689	−	9.53398i	−0.925908	−	0.377750i
$638$	−3.31232			−0.131136
$639$	10.5427	+	3.91753i	0.417061	+	0.154975i
$640$	37.0821	+	21.4094i	1.46580	+	0.846280i
$641$			28.0964i			1.10974i	0.831937	+	0.554871i	$0.187232\pi$
$641$			28.0964i			1.10974i	−0.831937	+	0.554871i	$0.812768\pi$
$642$	2.06915	+	9.48382i	0.0816629	+	0.374297i
$643$	−38.8423	+	10.4078i	−1.53179	+	0.410442i	−0.923603	−	0.383351i	$-0.874770\pi$
$643$	−38.8423	+	10.4078i	−1.53179	+	0.410442i	−0.608188	+	0.793793i	$0.708103\pi$
$644$	3.87436	+	27.3414i	0.152671	+	1.07740i
$645$	23.6680	−	21.5420i	0.931925	−	0.848217i
$646$	1.41503	−	2.45090i	0.0556734	−	0.0964292i
$647$	−1.20123	+	2.08058i	−0.0472251	+	0.0817962i	−0.888672	−	0.458544i	$-0.848371\pi$
$647$	−1.20123	+	2.08058i	−0.0472251	+	0.0817962i	0.841447	+	0.540340i	$0.181704\pi$
$648$	−23.3345	+	1.72628i	−0.916664	+	0.0678148i
$649$	0.239220	+	0.414342i	0.00939023	+	0.0162643i
$650$	−7.00004	+	5.21292i	−0.274564	+	0.204468i
$651$	−10.9188	−	29.4022i	−0.427943	−	1.15236i
$652$	−9.02637	−	33.6869i	−0.353500	−	1.31928i
$653$	23.3953			0.915531			0.457765	−	0.889073i	$-0.348650\pi$
$653$	23.3953			0.915531			0.457765	+	0.889073i	$0.348650\pi$
$654$	−0.637655	+	13.5605i	−0.0249343	+	0.530256i
$655$	19.5568	−	19.5568i	0.764149	−	0.764149i
$656$	−0.410838	+	1.53327i	−0.0160405	+	0.0598640i
$657$	1.72058	−	1.42417i	0.0671261	−	0.0555622i
$658$	5.64322	−	0.799661i	0.219996	−	0.0311740i
$659$	10.0679	+	17.4382i	0.392191	+	0.679295i	0.992738	−	0.120294i	$-0.0383838\pi$
$659$	10.0679	+	17.4382i	0.392191	+	0.679295i	−0.600547	+	0.799589i	$0.705050\pi$
$660$	2.81110	+	0.132187i	0.109422	+	0.00514535i
$661$	17.2864	+	4.63189i	0.672365	+	0.180160i	0.578820	−	0.815456i	$-0.303513\pi$
$661$	17.2864	+	4.63189i	0.672365	+	0.180160i	0.0935448	+	0.995615i	$0.470180\pi$
$662$	33.4999	−	19.3412i	1.30201	−	0.751717i
$663$	12.3098	+	10.7073i	0.478075	+	0.415836i
$664$	−34.2963	+	19.8010i	−1.33095	+	0.768427i
$665$	−3.08124	+	0.436621i	−0.119485	+	0.0169314i
$666$	−30.8350	−	67.3014i	−1.19483	−	2.60787i
$667$	20.0083	−	11.5518i	0.774724	−	0.447287i
$668$	−18.8723	−	18.8723i	−0.730193	−	0.730193i
$669$	19.0971	+	20.9818i	0.738337	+	0.811201i
$670$	−19.2394	+	19.2394i	−0.743282	+	0.743282i
$671$	−0.637325	−	2.37853i	−0.0246037	−	0.0918221i
$672$	−26.1813	+	9.72271i	−1.00996	+	0.375062i
$673$	−0.0858892	+	0.0495882i	−0.00331079	+	0.00191148i	−0.501654	−	0.865068i	$-0.667275\pi$
$673$	−0.0858892	+	0.0495882i	−0.00331079	+	0.00191148i	0.498344	+	0.866980i	$0.333942\pi$
$674$	−11.9359	+	44.5455i	−0.459755	+	1.71583i
$675$	−0.779028	+	5.48972i	−0.0299848	+	0.211299i
$676$	−11.7184	+	39.1839i	−0.450708	+	1.50707i
$677$	−20.3047	−	11.7229i	−0.780372	−	0.450548i	0.0561902	−	0.998420i	$-0.482105\pi$
$677$	−20.3047	−	11.7229i	−0.780372	−	0.450548i	−0.836562	+	0.547872i	$0.815438\pi$
$678$	28.8552	−	26.2634i	1.10818	−	1.00864i
$679$	−25.0678	+	33.3451i	−0.962013	+	1.27967i
$680$	14.4882	+	8.36478i	0.555598	+	0.320774i
$681$	29.3894	−	6.41209i	1.12620	−	0.245712i
$682$	−2.30189	−	2.30189i	−0.0881440	−	0.0881440i
$683$	−15.3868	+	4.12287i	−0.588758	+	0.157757i	−0.540886	−	0.841096i	$-0.681911\pi$
$683$	−15.3868	+	4.12287i	−0.588758	+	0.157757i	−0.0478726	+	0.998853i	$0.515244\pi$
$684$	3.47195	−	2.87383i	0.132753	−	0.109884i
$685$			34.4020i			1.31443i
$686$	32.5597	−	26.5511i	1.24313	−	1.01373i
$687$	6.87633	+	31.5172i	0.262348	+	1.20246i
$688$			2.95912i			0.112815i
$689$	−4.51867	+	30.8802i	−0.172148	+	1.17644i
$690$	−28.5296	+	14.7301i	−1.08610	+	0.560765i
$691$	−34.5207	+	9.24980i	−1.31323	+	0.351879i	−0.846437	−	0.532488i	$-0.821257\pi$
$691$	−34.5207	+	9.24980i	−1.31323	+	0.351879i	−0.466792	+	0.884367i	$0.654590\pi$
$692$		−	57.1216i		−	2.17144i
$693$	−1.12045	+	1.23053i	−0.0425624	+	0.0467440i
$694$	−3.97523	+	3.97523i	−0.150898	+	0.150898i
$695$	6.87682	+	25.6646i	0.260853	+	0.973515i
$696$	−21.1079	−	23.1910i	−0.800093	−	0.879051i
$697$	−2.72089	+	10.1545i	−0.103061	+	0.384629i
$698$		−	62.9470i		−	2.38258i
$699$	1.77736	−	37.7976i	0.0672259	−	1.42964i
$700$	−1.24616	−	8.79418i	−0.0471005	−	0.332389i
$701$		−	7.71012i		−	0.291207i	−0.989343	−	0.145604i	$-0.953488\pi$
$701$		−	7.71012i		−	0.291207i	0.989343	−	0.145604i	$-0.0465124\pi$
$702$	20.3434	+	37.3150i	0.767812	+	1.40836i
$703$	4.49860	+	2.59727i	0.169668	+	0.0979577i
$704$	−1.93276	+	1.93276i	−0.0728437	+	0.0728437i
$705$	1.85867	+	3.59992i	0.0700017	+	0.135581i
$706$	−5.22185	+	9.04451i	−0.196527	+	0.340395i
$707$	−7.95751	−	3.20450i	−0.299273	−	0.120518i
$708$	−3.77878	+	11.8460i	−0.142015	+	0.445201i
$709$	49.8002	−	13.3439i	1.87029	−	0.501142i	0.870324	−	0.492480i	$-0.163910\pi$
$709$	49.8002	−	13.3439i	1.87029	−	0.501142i	0.999962	−	0.00866148i	$-0.00275707\pi$
$710$	−5.42174	−	20.2342i	−0.203474	−	0.759376i
$711$	10.5499	+	0.994381i	0.395654	+	0.0372922i
$712$	6.77359	+	11.7322i	0.253851	+	0.439683i
$713$	21.9326	+	5.87683i	0.821383	+	0.220089i
$714$	−25.4593	+	9.45460i	−0.952791	+	0.353830i
$715$	−0.687749	−	1.73043i	−0.0257203	−	0.0647144i
$716$	−4.92580			−0.184086
$717$	48.9855	+	15.6260i	1.82940	+	0.583562i
$718$	−66.9460			−2.49840
$719$	9.43607	+	16.3437i	0.351906	+	0.609519i	0.986583	−	0.163258i	$-0.0522004\pi$
$719$	9.43607	+	16.3437i	0.351906	+	0.609519i	−0.634678	+	0.772777i	$0.718867\pi$
$720$	−1.85864	−	2.24547i	−0.0692674	−	0.0836838i
$721$	−15.1472	−	6.09981i	−0.564112	−	0.227169i
$722$	11.0216	−	41.1330i	0.410180	−	1.53081i
$723$	2.04655	+	9.38022i	0.0761119	+	0.348854i
$724$	−20.8132	+	12.0165i	−0.773518	+	0.446591i
$725$	−6.43553	+	3.71556i	−0.239010	+	0.137992i
$726$	13.0824	−	41.0118i	0.485534	−	1.52209i
$727$	−12.6171	−	21.8534i	−0.467941	−	0.810498i	0.531388	−	0.847129i	$-0.321671\pi$
$727$	−12.6171	−	21.8534i	−0.467941	−	0.810498i	−0.999329	+	0.0366309i	$0.988337\pi$
$728$	−17.4570	−	17.6159i	−0.646999	−	0.652890i
$729$	25.9340	+	7.51169i	0.960520	+	0.278211i
$730$	−4.01829	−	1.07670i	−0.148723	−	0.0398503i
$731$			19.5976i			0.724842i
$732$	34.5658	−	53.8578i	1.27759	−	1.99064i
$733$	29.3573	+	29.3573i	1.08434	+	1.08434i	0.996100	+	0.0882371i	$0.0281233\pi$
$733$	29.3573	+	29.3573i	1.08434	+	1.08434i	0.0882371	+	0.996100i	$0.471877\pi$
$734$	54.8477	−	14.6964i	2.02446	−	0.542454i
$735$	25.4465	+	15.6313i	0.938607	+	0.576570i
$736$	5.23304	−	19.5300i	0.192893	−	0.719885i
$737$	−0.510491	−	0.884197i	−0.0188042	−	0.0325698i
$738$	−15.8578	+	22.3269i	−0.583733	+	0.821864i
$739$	16.6228	−	4.45407i	0.611481	−	0.163846i	0.0602287	−	0.998185i	$-0.480817\pi$
$739$	16.6228	−	4.45407i	0.611481	−	0.163846i	0.551252	+	0.834339i	$0.314150\pi$
$740$	−42.1472	+	73.0010i	−1.54936	+	2.68357i
$741$	−2.67999	−	1.30811i	−0.0984517	−	0.0480547i
$742$	−41.5256	−	31.2177i	−1.52445	−	1.14604i
$743$	10.9329	+	40.8022i	0.401089	+	1.49689i	0.811156	+	0.584831i	$0.198839\pi$
$743$	10.9329	+	40.8022i	0.401089	+	1.49689i	−0.410066	+	0.912056i	$0.634494\pi$
$744$	1.44763	−	30.7854i	0.0530726	−	1.12865i
$745$	47.1667			1.72805
$746$	6.36508	+	23.7548i	0.233042	+	0.869725i
$747$	45.0560	−	7.63320i	1.64851	−	0.279284i
$748$	−1.21855	+	1.21855i	−0.0445546	+	0.0445546i
$749$	0.917054	+	6.47166i	0.0335084	+	0.236469i
$750$	−33.8210	+	17.4621i	−1.23497	+	0.637627i
$751$		−	3.34004i		−	0.121880i	−0.998141	−	0.0609398i	$-0.980590\pi$
$751$		−	3.34004i		−	0.121880i	0.998141	−	0.0609398i	$-0.0194098\pi$
$752$	−0.361839	−	0.0969544i	−0.0131949	−	0.00353556i
$753$	7.75445	−	12.0824i	0.282588	−	0.440307i
$754$	−22.5528	+	52.3042i	−0.821324	+	1.90481i
$755$		−	44.7056i		−	1.62701i
$756$	−43.2510	−	0.00863650i	−1.57302	−	0.000314106i
$757$	51.0120			1.85406			0.927032	−	0.374983i	$-0.122351\pi$
$757$	51.0120			1.85406			0.927032	+	0.374983i	$0.122351\pi$
$758$	43.9082	+	25.3504i	1.59482	+	0.920768i
$759$	−0.256823	−	1.17713i	−0.00932209	−	0.0427272i
$760$	−2.95378	−	0.791462i	−0.107145	−	0.0287094i
$761$	0.557170	−	0.557170i	0.0201974	−	0.0201974i	−0.696936	−	0.717133i	$-0.745454\pi$
$761$	0.557170	−	0.557170i	0.0201974	−	0.0201974i	0.717133	+	0.696936i	$0.245454\pi$
$762$	14.6016	−	45.7742i	0.528959	−	1.65822i
$763$	−1.10370	+	9.07438i	−0.0399566	+	0.328515i
$764$		−	1.99400i		−	0.0721404i
$765$	−12.3094	−	14.8713i	−0.445046	−	0.537672i
$766$	−10.9412	+	18.9508i	−0.395323	+	0.684720i
$767$	8.17159	−	0.956333i	0.295059	−	0.0345312i
$768$	−23.1187	−	1.08711i	−0.834225	−	0.0392279i
$769$	21.2677	−	5.69867i	0.766934	−	0.205499i	0.145917	−	0.989297i	$-0.453387\pi$
$769$	21.2677	−	5.69867i	0.766934	−	0.205499i	0.621016	+	0.783798i	$0.286720\pi$
$770$	3.07699	+	0.374249i	0.110887	+	0.0134870i
$771$	−7.22360	+	11.2553i	−0.260152	+	0.405349i
$772$	16.9802	+	63.3708i	0.611130	+	2.28077i
$773$	18.6285	−	4.99149i	0.670021	−	0.179532i	0.0922566	−	0.995735i	$-0.470592\pi$
$773$	18.6285	−	4.99149i	0.670021	−	0.179532i	0.577764	+	0.816204i	$0.303925\pi$
$774$	−17.7821	+	47.8543i	−0.639164	+	1.72009i
$775$	−7.05449	−	1.89024i	−0.253405	−	0.0678996i
$776$	−35.5003	+	20.4961i	−1.27439	+	0.735768i
$777$	−17.3538	−	46.7303i	−0.622565	−	1.67644i
$778$	−50.0747	+	13.4175i	−1.79527	+	0.481040i
$779$		−	1.92161i		−	0.0688487i
$780$	21.2274	−	43.4895i	0.760063	−	1.55717i
$781$	0.786058			0.0281274
$782$	5.08874	−	18.9914i	0.181973	−	0.679132i
$783$	13.5105	+	33.5690i	0.482825	+	1.19966i
$784$	−2.65258	+	0.767161i	−0.0947349	+	0.0273986i
$785$	28.8789	+	7.73807i	1.03073	+	0.276184i
$786$	−13.4078	+	42.0319i	−0.478241	+	1.49923i
$787$	−45.0889	−	12.0815i	−1.60724	−	0.430660i	−0.660025	−	0.751244i	$-0.729454\pi$
$787$	−45.0889	−	12.0815i	−1.60724	−	0.430660i	−0.947220	+	0.320584i	$0.896121\pi$
$788$	11.2323	−	41.9195i	0.400134	−	1.49332i
$789$	−3.19266	+	4.97456i	−0.113662	+	0.177099i
$790$	−9.86839	−	17.0926i	−0.351102	−	0.608126i
$791$	20.6852	−	16.1990i	0.735480	−	0.575971i
$792$	−1.48670	+	0.681152i	−0.0528277	+	0.0242037i
$793$	−41.8983	−	6.13094i	−1.48785	−	0.217716i
$794$			41.4393i			1.47063i
$795$	11.2227	−	35.1817i	0.398027	−	1.24777i
$796$			39.5843i			1.40303i
$797$	11.1403	−	19.2956i	0.394610	−	0.683485i	−0.598441	−	0.801167i	$-0.704213\pi$
$797$	11.1403	−	19.2956i	0.394610	−	0.683485i	0.993051	+	0.117682i	$0.0375462\pi$
$798$	4.04782	−	2.87377i	0.143291	−	0.101730i
$799$	−2.39638	−	0.642108i	−0.0847778	−	0.0227161i
$800$	−1.68317	+	6.28169i	−0.0595092	+	0.222091i
$801$	−2.61119	−	15.4129i	−0.0922619	−	0.544588i
$802$	11.7488	−	20.3496i	0.414865	−	0.718568i
$803$	0.0780512	−	0.135189i	0.00275437	−	0.00477070i
$804$	8.06383	−	25.2791i	0.284389	−	0.891527i
$805$	−19.8920	+	8.47040i	−0.701100	+	0.298542i
$806$	−52.0218	+	20.6757i	−1.83239	+	0.728272i
$807$	−37.3662	+	19.2926i	−1.31535	+	0.679130i
$808$	−5.96058	−	5.96058i	−0.209692	−	0.209692i
$809$	−11.3644	+	19.6837i	−0.399550	+	0.692042i	−0.993670	−	0.112335i	$-0.964167\pi$
$809$	−11.3644	+	19.6837i	−0.399550	+	0.692042i	0.594120	+	0.804376i	$0.297500\pi$
$810$	−16.5640	−	47.4824i	−0.581998	−	1.66836i
$811$	−5.88698	−	5.88698i	−0.206720	−	0.206720i	0.596152	−	0.802872i	$-0.296696\pi$
$811$	−5.88698	−	5.88698i	−0.206720	−	0.206720i	−0.802872	+	0.596152i	$0.796696\pi$
$812$	−35.7392	−	45.6369i	−1.25420	−	1.60154i
$813$	−24.7318	+	22.5103i	−0.867381	+	0.789470i
$814$	−3.65851	−	3.65851i	−0.128231	−	0.128231i
$815$	23.6468	−	13.6525i	0.828310	−	0.478225i
$816$	1.78299	+	0.0838416i	0.0624170	+	0.00293504i
$817$	−0.927146	−	3.46016i	−0.0324367	−	0.121056i
$818$	−44.8992			−1.56986
$819$	11.8022	+	26.0712i	0.412402	+	0.911002i
$820$	31.1829			1.08895
$821$	−3.29837	−	12.3097i	−0.115114	−	0.429611i	0.884182	−	0.467143i	$-0.154717\pi$
$821$	−3.29837	−	12.3097i	−0.115114	−	0.429611i	−0.999295	+	0.0375328i	$0.988050\pi$
$822$	−25.1760	−	48.7613i	−0.878113	−	1.70075i
$823$	7.52394	−	4.34395i	0.262268	−	0.151421i	−0.363101	−	0.931750i	$-0.618282\pi$
$823$	7.52394	−	4.34395i	0.262268	−	0.151421i	0.625369	+	0.780329i	$0.284949\pi$
$824$	−11.3460	−	11.3460i	−0.395258	−	0.395258i
$825$	0.0826055	+	0.378617i	0.00287595	+	0.0131817i
$826$	−5.11592	+	12.7040i	−0.178006	+	0.442029i
$827$	29.4938	+	29.4938i	1.02560	+	1.02560i	0.999664	+	0.0259373i	$0.00825702\pi$
$827$	29.4938	+	29.4938i	1.02560	+	1.02560i	0.0259373	+	0.999664i	$0.491743\pi$
$828$	18.1315	−	25.5281i	0.630113	−	0.887164i
$829$	−4.40225	+	7.62492i	−0.152897	+	0.264825i	−0.932291	−	0.361709i	$-0.882193\pi$
$829$	−4.40225	+	7.62492i	−0.152897	+	0.264825i	0.779395	+	0.626533i	$0.215527\pi$
$830$	−60.1849	−	60.1849i	−2.08905	−	2.08905i
$831$	−12.6730	−	8.13349i	−0.439621	−	0.282148i
$832$	17.3602	+	43.6796i	0.601856	+	1.51432i
$833$	−17.5674	+	5.08074i	−0.608676	+	0.176037i
$834$	−28.5290	−	31.3444i	−0.987879	−	1.08537i
$835$	10.4480	−	18.0965i	0.361569	−	0.626257i
$836$	0.157499	−	0.272797i	0.00544723	−	0.00943487i
$837$	−13.9396	+	32.7178i	−0.481824	+	1.13089i
$838$	−17.7182	+	66.1251i	−0.612064	+	2.28425i
$839$	16.2972	+	4.36682i	0.562642	+	0.150759i	0.528920	−	0.848672i	$-0.322597\pi$
$839$	16.2972	+	4.36682i	0.562642	+	0.150759i	0.0337222	+	0.999431i	$0.489264\pi$
$840$	16.9880	+	23.9283i	0.586141	+	0.825603i
$841$	−9.74834	+	16.8846i	−0.336149	+	0.582228i
$842$		−	17.4209i		−	0.600364i
$843$	−25.8386	−	28.3885i	−0.889929	−	0.977754i
$844$		−	65.9735i		−	2.27090i
$845$	−32.0076	−	0.921961i	−1.10110	−	0.0317164i
$846$	−5.26897	−	3.74231i	−0.181151	−	0.128663i
$847$	10.8281	−	26.8886i	0.372057	−	0.923903i
$848$	1.70723	+	2.95701i	0.0586265	+	0.101544i
$849$	−3.89555	−	0.183181i	−0.133695	−	0.00628675i
$850$	−1.63676	+	6.10847i	−0.0561404	+	0.209519i
$851$	34.8586	+	9.34033i	1.19494	+	0.320182i
$852$	13.7508	+	15.1079i	0.471096	+	0.517587i
$853$	1.74512	+	0.467603i	0.0597516	+	0.0160104i	0.288571	−	0.957458i	$-0.406820\pi$
$853$	1.74512	+	0.467603i	0.0597516	+	0.0160104i	−0.228819	+	0.973469i	$0.573487\pi$
$854$	42.3562	−	56.3420i	1.44940	−	1.92798i
$855$	2.87690	+	2.04333i	0.0983877	+	0.0698804i
$856$	−1.66234	+	6.20395i	−0.0568177	+	0.212047i
$857$	−8.07968			−0.275997			−0.137998	−	0.990432i	$-0.544067\pi$
$857$	−8.07968			−0.275997			−0.137998	+	0.990432i	$0.544067\pi$
$858$	2.24117	+	1.94940i	0.0765123	+	0.0665515i
$859$		−	24.6063i		−	0.839557i	−0.907627	−	0.419778i	$-0.862108\pi$
$859$		−	24.6063i		−	0.839557i	0.907627	−	0.419778i	$-0.137892\pi$
$860$	56.1498	−	15.0453i	1.91469	−	0.513040i
$861$	−11.7610	+	14.2030i	−0.400815	+	0.484038i
$862$	71.2014	−	41.1081i	2.42513	−	1.40015i
$863$	−18.7188	−	5.01568i	−0.637195	−	0.170736i	−0.0742623	−	0.997239i	$-0.523660\pi$
$863$	−18.7188	−	5.01568i	−0.637195	−	0.170736i	−0.562932	+	0.826503i	$0.690327\pi$
$864$	29.1337	+	12.4126i	0.991149	+	0.422285i
$865$	43.1985	−	11.5750i	1.46879	−	0.393562i
$866$	−19.0678	−	71.1621i	−0.647951	−	2.41819i
$867$	−17.6040	−	0.827796i	−0.597864	−	0.0281134i
$868$	6.87834	−	56.5522i	0.233466	−	1.91951i
$869$	0.715373	−	0.191684i	0.0242674	−	0.00650242i
$870$	36.4031	−	56.7206i	1.23418	−	1.92301i
$871$	−17.4380	+	2.04079i	−0.590864	+	0.0691496i
$872$	−4.49125	+	7.77907i	−0.152093	+	0.263433i
$873$	46.6378	−	7.90118i	1.57845	−	0.267414i
$874$			3.59388i			0.121565i
$875$	−23.5814	+	10.0414i	−0.797197	+	0.339462i
$876$	3.96368	−	0.864784i	0.133920	−	0.0292183i
$877$	12.8512	−	12.8512i	0.433953	−	0.433953i	−0.456018	−	0.889971i	$-0.650725\pi$
$877$	12.8512	−	12.8512i	0.433953	−	0.433953i	0.889971	+	0.456018i	$0.150725\pi$
$878$	−75.0080	−	20.0983i	−2.53140	−	0.678286i
$879$	−7.37693	−	2.35318i	−0.248818	−	0.0793708i
$880$	−0.176430	−	0.101862i	−0.00594747	−	0.00343377i
$881$	−16.2485			−0.547425			−0.273712	−	0.961812i	$-0.588252\pi$
$881$	−16.2485			−0.547425			−0.273712	+	0.961812i	$0.588252\pi$
$882$	−47.5071	−	3.53365i	−1.59965	−	0.118984i
$883$		−	21.6065i		−	0.727117i	−0.931571	−	0.363558i	$-0.881562\pi$
$883$		−	21.6065i		−	0.727117i	0.931571	−	0.363558i	$-0.118438\pi$
$884$	10.9451	+	27.5387i	0.368124	+	0.926228i
$885$	−9.72434	−	0.457268i	−0.326880	−	0.0153709i
$886$	−83.1960	−	22.2923i	−2.79502	−	0.748925i
$887$		−	48.4650i		−	1.62730i	−0.581358	−	0.813648i	$-0.697478\pi$
$887$		−	48.4650i		−	1.62730i	0.581358	−	0.813648i	$-0.302522\pi$
$888$	2.30078	−	48.9288i	0.0772092	−	1.64194i
$889$	12.0855	−	30.0110i	0.405333	−	1.00654i
$890$	−20.5883	+	20.5883i	−0.690121	+	0.690121i
$891$	1.88190	−	0.139223i	0.0630460	−	0.00466414i
$892$	13.3377	+	49.7770i	0.446580	+	1.66666i
$893$	0.453483			0.0151752
$894$	−66.8540	+	34.5174i	−2.23593	+	1.15443i
$895$	−0.998153	−	3.72516i	−0.0333646	−	0.124518i
$896$	−45.6567	−	5.55313i	−1.52528	−	0.185517i
$897$	−20.3365	−	3.95936i	−0.679017	−	0.132199i
$898$	3.46299	−	5.99807i	0.115561	−	0.200158i
$899$	−46.0388	+	12.3360i	−1.53548	+	0.411430i
$900$	−5.83188	+	8.21096i	−0.194396	+	0.273699i
$901$	11.3066	+	19.5836i	0.376678	+	0.652425i
$902$	−0.495374	+	1.84876i	−0.0164942	+	0.0615570i
$903$	−14.3249	+	31.2494i	−0.476702	+	1.03991i
$904$	24.9373	−	6.68193i	0.829402	−	0.222238i
$905$	−13.3051	−	13.3051i	−0.442276	−	0.442276i
$906$	32.7164	+	63.3657i	1.08693	+	2.10519i
$907$			30.0184i			0.996745i	0.866963	+	0.498373i	$0.166069\pi$
$907$			30.0184i			0.996745i	−0.866963	+	0.498373i	$0.833931\pi$
$908$	52.7761	+	14.1413i	1.75144	+	0.469296i
$909$	4.05160	+	8.84314i	0.134383	+	0.293309i
$910$	26.8602	−	46.0401i	0.890407	−	1.52621i
$911$	−23.6741	−	41.0047i	−0.784356	−	1.35854i	−0.929383	−	0.369117i	$-0.879660\pi$
$911$	−23.6741	−	41.0047i	−0.784356	−	1.35854i	0.145027	−	0.989428i	$-0.453673\pi$
$912$	−0.318772	+	0.0695487i	−0.0105556	+	0.00230299i
$913$	2.76596	−	1.59693i	0.0915399	−	0.0528506i
$914$	−24.0137	+	13.8643i	−0.794304	+	0.458591i
$915$	47.7346	+	15.2269i	1.57806	+	0.503387i
$916$	−15.1652	+	56.5971i	−0.501071	+	1.87002i
$917$	−11.0974	+	27.5574i	−0.366469	+	0.910026i
$918$	28.3303	+	12.0703i	0.935040	+	0.398379i
$919$	−10.3721	−	17.9650i	−0.342144	−	0.592610i	0.642687	−	0.766129i	$-0.277820\pi$
$919$	−10.3721	−	17.9650i	−0.342144	−	0.592610i	−0.984831	+	0.173519i	$0.944486\pi$
$920$	−21.2448			−0.700422
$921$	−4.48563	−	20.5596i	−0.147806	−	0.677461i
$922$	79.0678			2.60396
$923$	5.35208	−	12.4125i	0.176166	−	0.408562i
$924$	−2.83375	+	1.05234i	−0.0932234	+	0.0346195i
$925$	−11.2120	−	3.00426i	−0.368649	−	0.0987793i
$926$	32.9703	+	57.1063i	1.08347	+	1.87663i
$927$	7.71229	+	16.8330i	0.253305	+	0.552870i
$928$	10.9847	+	40.9954i	0.360590	+	1.34574i
$929$	−41.5414	+	11.1310i	−1.36293	+	0.365195i	−0.864891	−	0.501960i	$-0.832612\pi$
$929$	−41.5414	+	11.1310i	−1.36293	+	0.365195i	−0.498037	+	0.867156i	$0.665946\pi$
$930$	64.7163	−	14.1196i	2.12213	−	0.463000i
$931$	2.86135	−	1.72816i	0.0937770	−	0.0566381i
$932$	34.3652	−	59.5222i	1.12567	−	1.94971i
$933$	−3.58292	−	0.168480i	−0.117299	−	0.00551578i
$934$	−37.8826	+	37.8826i	−1.23956	+	1.23956i
$935$	−1.16846	−	0.674611i	−0.0382127	−	0.0220621i
$936$	0.633361	+	28.1140i	0.0207021	+	0.918936i
$937$			7.89287i			0.257849i	0.991654	+	0.128924i	$0.0411525\pi$
$937$			7.89287i			0.257849i	−0.991654	+	0.128924i	$0.958848\pi$
$938$	10.9173	−	27.1100i	0.356461	−	0.885174i
$939$	39.1597	−	20.2185i	1.27793	−	0.659807i
$940$			7.35891i			0.240021i
$941$	−1.25473	+	4.68271i	−0.0409030	+	0.152652i	−0.983357	−	0.181684i	$-0.941845\pi$
$941$	−1.25473	+	4.68271i	−0.0409030	+	0.152652i	0.942454	+	0.334336i	$0.108512\pi$
$942$	−46.5957	+	10.1661i	−1.51817	+	0.331230i
$943$	−3.45525	−	12.8952i	−0.112519	−	0.419925i
$944$	0.636484	−	0.636484i	0.0207158	−	0.0207158i
$945$	−8.75777	−	32.7105i	−0.284890	−	1.06407i
$946$			3.56800i			0.116006i
$947$	30.4686	−	8.16405i	0.990098	−	0.265296i	0.272806	−	0.962069i	$-0.412048\pi$
$947$	30.4686	−	8.16405i	0.990098	−	0.265296i	0.717292	+	0.696773i	$0.245382\pi$
$948$	16.1984	+	10.3961i	0.526101	+	0.337650i
$949$	−1.60331	−	2.15296i	−0.0520456	−	0.0698880i
$950$		−	1.15595i		−	0.0375039i
$951$	42.2776	+	13.4862i	1.37094	+	0.437320i
$952$	−17.8383	−	2.16964i	−0.578144	−	0.0703186i
$953$		−	24.7311i		−	0.801119i	−0.916271	−	0.400560i	$-0.868816\pi$
$953$		−	24.7311i		−	0.801119i	0.916271	−	0.400560i	$-0.131184\pi$
$954$	9.83957	+	58.0794i	0.318568	+	1.88039i
$955$	1.50797	−	0.404060i	0.0487969	−	0.0130751i
$956$	66.0390	+	66.0390i	2.13585	+	2.13585i
$957$	1.70233	+	1.87033i	0.0550285	+	0.0604591i
$958$	10.9436	+	6.31831i	0.353573	+	0.204135i
$959$	−14.4772	−	33.9984i	−0.467493	−	1.09787i
$960$	−11.8554	−	54.3383i	−0.382631	−	1.75376i
$961$	−13.7207	−	7.92166i	−0.442604	−	0.255537i
$962$	−82.6807	+	32.8610i	−2.66573	+	1.05948i
$963$	4.29170	−	6.04247i	0.138298	−	0.194716i
$964$	−4.51349	+	16.8446i	−0.145370	+	0.542527i
$965$	−44.4837	+	25.6827i	−1.43198	+	0.826754i
$966$	21.9961	−	26.5632i	0.707712	−	0.854658i
$967$	3.83347	+	14.3067i	0.123276	+	0.460072i	0.999772	−	0.0213361i	$-0.00679202\pi$
$967$	3.83347	+	14.3067i	0.123276	+	0.460072i	−0.876496	+	0.481409i	$0.840125\pi$
$968$	20.1409	−	20.1409i	0.647353	−	0.647353i
$969$	−2.11115	+	0.460606i	−0.0678201	+	0.0147968i
$970$	−62.2979	−	62.2979i	−2.00026	−	2.00026i
$971$	13.8617	−	8.00306i	0.444843	−	0.256830i	−0.260807	−	0.965391i	$-0.583988\pi$
$971$	13.8617	−	8.00306i	0.444843	−	0.256830i	0.705650	+	0.708561i	$0.250655\pi$
$972$	35.5967	+	33.7342i	1.14176	+	1.08203i
$973$	−17.5964	−	22.4696i	−0.564116	−	0.720342i
$974$	37.2106	−	21.4836i	1.19230	−	0.688378i
$975$	6.54111	+	1.27350i	0.209483	+	0.0407847i
$976$	−4.01208	+	2.31637i	−0.128424	+	0.0741453i
$977$	−1.19656	−	0.320618i	−0.0382815	−	0.0102575i	0.239627	−	0.970865i	$-0.422975\pi$
$977$	−1.19656	−	0.320618i	−0.0382815	−	0.0102575i	−0.277909	+	0.960607i	$0.589641\pi$
$978$	−23.5258	+	36.6561i	−0.752272	+	1.17213i
$979$	−0.546283	−	0.946189i	−0.0174593	−	0.0302403i
$980$	28.0437	+	46.4326i	0.895824	+	1.48323i
$981$	7.98474	−	6.60919i	0.254933	−	0.211015i
$982$	5.92787	−	22.1231i	0.189166	−	0.705976i
$983$	−16.5436	+	16.5436i	−0.527658	+	0.527658i	−0.919873	−	0.392216i	$-0.871709\pi$
$983$	−16.5436	+	16.5436i	−0.527658	+	0.527658i	0.392216	+	0.919873i	$0.371709\pi$
$984$	−16.1008	+	8.31298i	−0.513273	+	0.265008i
$985$	33.9779			1.08263
$986$	10.6818	+	39.8649i	0.340177	+	1.26956i
$987$	−3.35180	−	2.77551i	−0.106689	−	0.0883454i
$988$	−3.23531	−	4.34445i	−0.102929	−	0.138215i
$989$	−12.4435	−	21.5527i	−0.395679	−	0.685337i
$990$	−2.24108	−	2.70751i	−0.0712263	−	0.0860504i
$991$	18.5363	−	32.1058i	0.588825	−	1.01987i	−0.405562	−	0.914068i	$-0.632924\pi$
$991$	18.5363	−	32.1058i	0.588825	−	1.01987i	0.994387	−	0.105807i	$-0.0337426\pi$
$992$	−20.8559	+	36.1235i	−0.662175	+	1.14692i
$993$	−28.1381	−	8.97580i	−0.892934	−	0.284839i
$994$	13.8732	+	17.7152i	0.440030	+	0.561892i
$995$	−29.9358	+	8.02127i	−0.949028	+	0.254291i
$996$	79.0787	+	25.2254i	2.50570	+	0.799298i
$997$		−	50.6361i		−	1.60366i	−0.597551	−	0.801831i	$-0.703860\pi$
$997$		−	50.6361i		−	1.60366i	0.597551	−	0.801831i	$-0.296140\pi$
$998$	28.4928	+	16.4503i	0.901924	+	0.520726i
$999$	−22.1549	+	52.0000i	−0.700951	+	1.64521i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	819.2.fk.a.31.13	yes	432
7.5	odd	6		819.2.ep.a.733.13	yes	432
9.7	even	3		819.2.ep.a.304.13	yes	432
13.8	odd	4	inner	819.2.fk.a.346.96	yes	432
63.61	odd	6	inner	819.2.fk.a.187.96	yes	432
91.47	even	12		819.2.ep.a.229.13	✓	432
117.34	odd	12		819.2.ep.a.619.13	yes	432
819.502	even	12	inner	819.2.fk.a.502.13	yes	432

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
819.2.ep.a.229.13	✓	432	91.47	even	12
819.2.ep.a.304.13	yes	432	9.7	even	3
819.2.ep.a.619.13	yes	432	117.34	odd	12
819.2.ep.a.733.13	yes	432	7.5	odd	6
819.2.fk.a.31.13	yes	432	1.1	even	1	trivial
819.2.fk.a.187.96	yes	432	63.61	odd	6	inner
819.2.fk.a.346.96	yes	432	13.8	odd	4	inner
819.2.fk.a.502.13	yes	432	819.502	even	12	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:	\( N \)	\(=\)	\( 819 = 3^{2} \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	819.fk (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.587129 - 2.19119i) q^{2} +(-0.935526 + 1.45767i) q^{3} +(-2.72456 + 1.57302i) q^{4} +(-1.74171 - 1.74171i) q^{5} +(3.74330 + 1.19408i) q^{6} +(2.45423 + 0.988320i) q^{7} +(1.83834 + 1.83834i) q^{8} +(-1.24958 - 2.72737i) q^{9} +O(q^{10})\)	\(q+(-0.587129 - 2.19119i) q^{2} +(-0.935526 + 1.45767i) q^{3} +(-2.72456 + 1.57302i) q^{4} +(-1.74171 - 1.74171i) q^{5} +(3.74330 + 1.19408i) q^{6} +(2.45423 + 0.988320i) q^{7} +(1.83834 + 1.83834i) q^{8} +(-1.24958 - 2.72737i) q^{9} +(-2.79381 + 4.83902i) q^{10} +(-0.148260 - 0.148260i) q^{11} +(0.255952 - 5.44310i) q^{12} +(-3.35062 + 1.33168i) q^{13} +(0.724655 - 5.95795i) q^{14} +(4.16824 - 0.909414i) q^{15} +(-0.197235 + 0.341621i) q^{16} +(-1.30624 + 2.26248i) q^{17} +(-5.24253 + 4.33939i) q^{18} +(0.123595 - 0.461262i) q^{19} +(7.48513 + 2.00563i) q^{20} +(-3.73663 + 2.65284i) q^{21} +(-0.237819 + 0.411914i) q^{22} -3.31759i q^{23} +(-4.39950 + 0.959870i) q^{24} +1.06708i q^{25} +(4.88521 + 6.55998i) q^{26} +(5.14461 + 0.730055i) q^{27} +(-8.24134 + 1.16782i) q^{28} +(3.48198 + 6.03096i) q^{29} +(-4.43999 - 8.59947i) q^{30} +(-1.77141 + 6.61101i) q^{31} +(5.88679 + 1.57736i) q^{32} +(0.354815 - 0.0774125i) q^{33} +(5.72446 + 1.53386i) q^{34} +(-2.55318 - 5.99590i) q^{35} +(7.69478 + 5.46526i) q^{36} +(-2.81539 + 10.5072i) q^{37} -1.08328 q^{38} +(1.19344 - 6.12990i) q^{39} -6.40369i q^{40} +(3.88691 - 1.04149i) q^{41} +(8.00678 + 6.63013i) q^{42} +(6.49650 - 3.75075i) q^{43} +(0.637160 + 0.170727i) q^{44} +(-2.57387 + 6.92668i) q^{45} +(-7.26949 + 1.94785i) q^{46} +(0.245784 + 0.917279i) q^{47} +(-0.313451 - 0.607098i) q^{48} +(5.04645 + 4.85112i) q^{49} +(2.33818 - 0.626514i) q^{50} +(-2.07591 - 4.02067i) q^{51} +(7.03418 - 8.89885i) q^{52} +(4.32791 - 7.49617i) q^{53} +(-1.42086 - 11.7015i) q^{54} +0.516451i q^{55} +(2.69483 + 6.32857i) q^{56} +(0.556739 + 0.611682i) q^{57} +(11.1706 - 11.1706i) q^{58} +(-2.20411 - 0.590589i) q^{59} +(-9.92608 + 9.03450i) q^{60} +(10.1708 + 5.87212i) q^{61} +15.5260 q^{62} +(-0.371239 - 7.92857i) q^{63} -13.0363i q^{64} +(8.15519 + 3.51639i) q^{65} +(-0.377948 - 0.732017i) q^{66} +(4.70352 + 1.26030i) q^{67} -8.21901i q^{68} +(4.83594 + 3.10370i) q^{69} +(-11.6391 + 9.11487i) q^{70} +(-2.65094 + 2.65094i) q^{71} +(2.71668 - 7.31098i) q^{72} +(0.192693 + 0.719141i) q^{73} +24.6763 q^{74} +(-1.55545 - 0.998283i) q^{75} +(0.388835 + 1.45115i) q^{76} +(-0.217335 - 0.510392i) q^{77} +(-14.1325 + 0.983978i) q^{78} +(-1.76612 + 3.05900i) q^{79} +(0.938528 - 0.251478i) q^{80} +(-5.87709 + 6.81614i) q^{81} +(-4.56423 - 7.90548i) q^{82} +(-3.94250 + 14.7136i) q^{83} +(6.00769 - 13.1056i) q^{84} +(6.21566 - 1.66548i) q^{85} +(-12.0329 - 12.0329i) q^{86} +(-12.0486 - 0.566563i) q^{87} -0.545105i q^{88} +(5.03329 + 1.34867i) q^{89} +(16.6889 + 1.57301i) q^{90} +(-9.53929 - 0.0432337i) q^{91} +(5.21866 + 9.03898i) q^{92} +(-7.97944 - 8.76690i) q^{93} +(1.86563 - 1.07712i) q^{94} +(-1.01865 + 0.588117i) q^{95} +(-7.80652 + 7.10532i) q^{96} +(-4.08091 + 15.2302i) q^{97} +(7.66683 - 13.9060i) q^{98} +(-0.219097 + 0.589623i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 432 q + 2 q^{2} - 12 q^{3} + 12 q^{6} - 8 q^{8} - 4 q^{9}+O(q^{10}) \) 432 * q + 2 * q^2 - 12 * q^3 + 12 * q^6 - 8 * q^8 - 4 * q^9	\( 432 q + 2 q^{2} - 12 q^{3} + 12 q^{6} - 8 q^{8} - 4 q^{9} - 12 q^{11} - 4 q^{14} - 14 q^{15} + 196 q^{16} + 14 q^{18} - 12 q^{19} - 60 q^{20} - 8 q^{22} - 24 q^{24} - 12 q^{26} - 36 q^{27} + 4 q^{28} - 24 q^{29} - 30 q^{31} + 10 q^{32} - 60 q^{33} - 12 q^{34} - 60 q^{35} - 2 q^{37} - 22 q^{39} - 100 q^{42} + 32 q^{44} - 6 q^{45} + 4 q^{46} + 30 q^{47} - 12 q^{48} + 22 q^{50} + 8 q^{53} + 30 q^{54} - 44 q^{57} + 12 q^{58} - 6 q^{59} - 64 q^{60} - 12 q^{61} + 14 q^{63} + 16 q^{65} - 12 q^{66} + 16 q^{67} + 32 q^{70} + 48 q^{71} + 34 q^{72} - 12 q^{73} + 104 q^{74} - 48 q^{76} + 2 q^{78} + 28 q^{79} - 6 q^{80} - 44 q^{81} + 84 q^{83} - 38 q^{84} - 6 q^{85} + 84 q^{86} + 24 q^{87} + 18 q^{89} + 52 q^{92} - 108 q^{93} - 12 q^{94} + 42 q^{96} + 6 q^{97} - 112 q^{98} - 50 q^{99}+O(q^{100}) \) 432 * q + 2 * q^2 - 12 * q^3 + 12 * q^6 - 8 * q^8 - 4 * q^9 - 12 * q^11 - 4 * q^14 - 14 * q^15 + 196 * q^16 + 14 * q^18 - 12 * q^19 - 60 * q^20 - 8 * q^22 - 24 * q^24 - 12 * q^26 - 36 * q^27 + 4 * q^28 - 24 * q^29 - 30 * q^31 + 10 * q^32 - 60 * q^33 - 12 * q^34 - 60 * q^35 - 2 * q^37 - 22 * q^39 - 100 * q^42 + 32 * q^44 - 6 * q^45 + 4 * q^46 + 30 * q^47 - 12 * q^48 + 22 * q^50 + 8 * q^53 + 30 * q^54 - 44 * q^57 + 12 * q^58 - 6 * q^59 - 64 * q^60 - 12 * q^61 + 14 * q^63 + 16 * q^65 - 12 * q^66 + 16 * q^67 + 32 * q^70 + 48 * q^71 + 34 * q^72 - 12 * q^73 + 104 * q^74 - 48 * q^76 + 2 * q^78 + 28 * q^79 - 6 * q^80 - 44 * q^81 + 84 * q^83 - 38 * q^84 - 6 * q^85 + 84 * q^86 + 24 * q^87 + 18 * q^89 + 52 * q^92 - 108 * q^93 - 12 * q^94 + 42 * q^96 + 6 * q^97 - 112 * q^98 - 50 * q^99

Introduction

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