LMFDB - Embedded newform 819.2.ev.a.86.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [819,2,Mod(86,819)]

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([10, 4, 3]))

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

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

chi := DirichletCharacter("819.86");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 819 = 3^{2} \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	819.ev (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			86.5
Character	$\chi$	$=$	819.86
Dual form			819.2.ev.a.200.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.84767 + 1.84767i) q^{2} +(0.853624 + 1.50709i) q^{3} -4.82773i q^{4} +(-0.833887 - 0.223439i) q^{5} +(-4.36181 - 1.20739i) q^{6} +(-2.31693 + 1.27743i) q^{7} +(5.22471 + 5.22471i) q^{8} +(-1.54265 + 2.57298i) q^{9} +O(q^{10})$	\(q+(-1.84767 + 1.84767i) q^{2} +(0.853624 + 1.50709i) q^{3} -4.82773i q^{4} +(-0.833887 - 0.223439i) q^{5} +(-4.36181 - 1.20739i) q^{6} +(-2.31693 + 1.27743i) q^{7} +(5.22471 + 5.22471i) q^{8} +(-1.54265 + 2.57298i) q^{9} +(1.95358 - 1.12790i) q^{10} +(-0.360430 + 0.0965769i) q^{11} +(7.27584 - 4.12107i) q^{12} +(-1.36614 - 3.33671i) q^{13} +(1.92064 - 6.64118i) q^{14} +(-0.375082 - 1.44748i) q^{15} -9.65155 q^{16} +(-0.674430 - 1.16815i) q^{17} +(-1.90370 - 7.60431i) q^{18} +(-2.22962 + 0.597425i) q^{19} +(-1.07871 + 4.02578i) q^{20} +(-3.90300 - 2.40138i) q^{21} +(0.487512 - 0.844395i) q^{22} +(3.50044 + 6.06294i) q^{23} +(-3.41418 + 12.3340i) q^{24} +(-3.68468 - 2.12735i) q^{25} +(8.68930 + 3.64096i) q^{26} +(-5.19456 - 0.128560i) q^{27} +(6.16711 + 11.1855i) q^{28} +(5.36646 - 3.09832i) q^{29} +(3.36748 + 1.98143i) q^{30} +(-4.05193 - 4.05193i) q^{31} +(7.38342 - 7.38342i) q^{32} +(-0.453222 - 0.460760i) q^{33} +(3.40446 + 0.912223i) q^{34} +(2.21749 - 0.547542i) q^{35} +(12.4217 + 7.44751i) q^{36} +(-2.15017 - 8.02454i) q^{37} +(3.01575 - 5.22343i) q^{38} +(3.86257 - 4.90720i) q^{39} +(-3.18941 - 5.52422i) q^{40} +(-0.598927 - 2.23523i) q^{41} +(11.6484 - 2.77449i) q^{42} +(6.36292 - 3.67363i) q^{43} +(0.466247 + 1.74006i) q^{44} +(1.86130 - 1.80089i) q^{45} +(-17.6699 - 4.73464i) q^{46} +(0.509649 + 0.509649i) q^{47} +(-8.23880 - 14.5458i) q^{48} +(3.73632 - 5.91945i) q^{49} +(10.7387 - 2.87743i) q^{50} +(1.18479 - 2.01359i) q^{51} +(-16.1088 + 6.59536i) q^{52} +(8.86913 - 5.12060i) q^{53} +(9.83535 - 9.36028i) q^{54} +0.322137 q^{55} +(-18.7795 - 5.43106i) q^{56} +(-2.80363 - 2.85027i) q^{57} +(-4.19075 + 15.6401i) q^{58} +(-7.09004 - 7.09004i) q^{59} +(-6.98804 + 1.81080i) q^{60} +0.717993 q^{61} +14.9732 q^{62} +(0.287403 - 7.93205i) q^{63} +7.98108i q^{64} +(0.393652 + 3.08769i) q^{65} +(1.68873 + 0.0139289i) q^{66} +(6.50123 + 6.50123i) q^{67} +(-5.63950 + 3.25597i) q^{68} +(-6.14935 + 10.4510i) q^{69} +(-3.08550 + 5.10885i) q^{70} +(-8.47218 + 8.47218i) q^{71} +(-21.5030 + 5.38316i) q^{72} +(8.34347 + 2.23563i) q^{73} +(18.7995 + 10.8539i) q^{74} +(0.0607817 - 7.36912i) q^{75} +(2.88421 + 10.7640i) q^{76} +(0.711720 - 0.684187i) q^{77} +(1.93013 + 16.2036i) q^{78} -9.28477 q^{79} +(8.04830 + 2.15654i) q^{80} +(-4.24045 - 7.93842i) q^{81} +(5.23657 + 3.02333i) q^{82} +(2.97402 + 0.796885i) q^{83} +(-11.5932 + 18.8426i) q^{84} +(0.301388 + 1.12480i) q^{85} +(-4.96890 + 18.5442i) q^{86} +(9.25040 + 5.44294i) q^{87} +(-2.38773 - 1.37855i) q^{88} +(-10.4461 + 2.79903i) q^{89} +(-0.111630 + 6.76650i) q^{90} +(7.42768 + 5.98578i) q^{91} +(29.2703 - 16.8992i) q^{92} +(2.64780 - 9.56545i) q^{93} -1.88332 q^{94} +1.99274 q^{95} +(17.4302 + 4.82483i) q^{96} +(2.86794 - 10.7033i) q^{97} +(4.03368 + 17.8406i) q^{98} +(0.307527 - 1.07636i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 432 q - 4 q^{3} - 6 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{9}+O(q^{10}) $ 432 * q - 4 * q^3 - 6 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^9	$ 432 q - 4 q^{3} - 6 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{9} + 6 q^{11} - 4 q^{13} - 12 q^{14} + 18 q^{15} - 392 q^{16} + 22 q^{18} - 8 q^{19} - 24 q^{20} - 6 q^{21} - 8 q^{22} - 4 q^{24} - 4 q^{27} + 12 q^{28} - 24 q^{29} + 12 q^{31} - 10 q^{33} - 60 q^{35} - 6 q^{37} - 8 q^{39} + 36 q^{40} - 12 q^{41} + 92 q^{42} + 12 q^{44} - 62 q^{45} - 12 q^{46} - 52 q^{48} - 18 q^{50} + 10 q^{52} + 48 q^{53} + 14 q^{54} - 32 q^{55} + 28 q^{57} + 10 q^{58} + 74 q^{60} - 8 q^{61} - 58 q^{63} - 4 q^{66} - 32 q^{67} + 84 q^{68} - 46 q^{70} + 94 q^{72} - 32 q^{73} - 180 q^{74} - 36 q^{76} - 74 q^{78} + 40 q^{79} + 102 q^{80} + 36 q^{81} - 12 q^{83} + 64 q^{84} + 18 q^{85} - 162 q^{86} - 92 q^{87} - 30 q^{89} - 16 q^{91} - 228 q^{92} + 10 q^{93} - 8 q^{94} - 42 q^{96} - 6 q^{97} + 36 q^{98} + 2 q^{99}+O(q^{100}) $ 432 * q - 4 * q^3 - 6 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^9 + 6 * q^11 - 4 * q^13 - 12 * q^14 + 18 * q^15 - 392 * q^16 + 22 * q^18 - 8 * q^19 - 24 * q^20 - 6 * q^21 - 8 * q^22 - 4 * q^24 - 4 * q^27 + 12 * q^28 - 24 * q^29 + 12 * q^31 - 10 * q^33 - 60 * q^35 - 6 * q^37 - 8 * q^39 + 36 * q^40 - 12 * q^41 + 92 * q^42 + 12 * q^44 - 62 * q^45 - 12 * q^46 - 52 * q^48 - 18 * q^50 + 10 * q^52 + 48 * q^53 + 14 * q^54 - 32 * q^55 + 28 * q^57 + 10 * q^58 + 74 * q^60 - 8 * q^61 - 58 * q^63 - 4 * q^66 - 32 * q^67 + 84 * q^68 - 46 * q^70 + 94 * q^72 - 32 * q^73 - 180 * q^74 - 36 * q^76 - 74 * q^78 + 40 * q^79 + 102 * q^80 + 36 * q^81 - 12 * q^83 + 64 * q^84 + 18 * q^85 - 162 * q^86 - 92 * q^87 - 30 * q^89 - 16 * q^91 - 228 * q^92 + 10 * q^93 - 8 * q^94 - 42 * q^96 - 6 * q^97 + 36 * q^98 + 2 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$92$	$379$	$703$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{1}{3}\right)$

Coefficient data

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

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

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

$2$	−1.84767	+	1.84767i	−1.30650	+	1.30650i	−0.382570	+	0.923926i	$0.624961\pi$
$2$	−1.84767	+	1.84767i	−1.30650	+	1.30650i	−0.923926	+	0.382570i	$0.875039\pi$
$3$	0.853624	+	1.50709i	0.492840	+	0.870120i
$3$	0.853624	+	1.50709i	0.492840	+	0.870120i
$4$		−	4.82773i		−	2.41387i
$5$	−0.833887	−	0.223439i	−0.372926	−	0.0999251i	0.0674881	−	0.997720i	$-0.478502\pi$
$5$	−0.833887	−	0.223439i	−0.372926	−	0.0999251i	−0.440414	+	0.897795i	$0.645168\pi$
$6$	−4.36181	−	1.20739i	−1.78070	−	0.492915i
$7$	−2.31693	+	1.27743i	−0.875717	+	0.482825i
$7$	−2.31693	+	1.27743i	−0.875717	+	0.482825i
$8$	5.22471	+	5.22471i	1.84721	+	1.84721i
$9$	−1.54265	+	2.57298i	−0.514217	+	0.857660i
$10$	1.95358	−	1.12790i	0.617778	−	0.356674i
$11$	−0.360430	+	0.0965769i	−0.108674	+	0.0291190i	−0.312746	−	0.949837i	$-0.601249\pi$
$11$	−0.360430	+	0.0965769i	−0.108674	+	0.0291190i	0.204072	+	0.978956i	$0.434582\pi$
$12$	7.27584	−	4.12107i	2.10035	−	1.18965i
$13$	−1.36614	−	3.33671i	−0.378899	−	0.925438i
$13$	−1.36614	−	3.33671i	−0.378899	−	0.925438i
$14$	1.92064	−	6.64118i	0.513313	−	1.77493i
$15$	−0.375082	−	1.44748i	−0.0968458	−	0.373737i
$16$	−9.65155			−2.41289
$17$	−0.674430	−	1.16815i	−0.163573	−	0.283317i	0.772574	−	0.634924i	$-0.218969\pi$
$17$	−0.674430	−	1.16815i	−0.163573	−	0.283317i	−0.936148	+	0.351607i	$0.885635\pi$
$18$	−1.90370	−	7.60431i	−0.448707	−	1.79235i
$19$	−2.22962	+	0.597425i	−0.511510	+	0.137059i	−0.505337	−	0.862922i	$-0.668632\pi$
$19$	−2.22962	+	0.597425i	−0.511510	+	0.137059i	−0.00617322	+	0.999981i	$0.501965\pi$
$20$	−1.07871	+	4.02578i	−0.241206	+	0.900193i
$21$	−3.90300	−	2.40138i	−0.851704	−	0.524023i
$22$	0.487512	−	0.844395i	0.103938	−	0.180026i
$23$	3.50044	+	6.06294i	0.729892	+	1.26421i	0.956928	+	0.290324i	$0.0937632\pi$
$23$	3.50044	+	6.06294i	0.729892	+	1.26421i	−0.227036	+	0.973886i	$0.572903\pi$
$24$	−3.41418	+	12.3340i	−0.696916	+	2.51768i
$25$	−3.68468	−	2.12735i	−0.736937	−	0.425471i
$26$	8.68930	+	3.64096i	1.70411	+	0.714052i
$27$	−5.19456	−	0.128560i	−0.999694	−	0.0247414i
$28$	6.16711	+	11.1855i	1.16547	+	2.11386i
$29$	5.36646	−	3.09832i	0.996526	−	0.575344i	0.0893074	−	0.996004i	$-0.471535\pi$
$29$	5.36646	−	3.09832i	0.996526	−	0.575344i	0.907219	+	0.420660i	$0.138201\pi$
$30$	3.36748	+	1.98143i	0.614815	+	0.361757i
$31$	−4.05193	−	4.05193i	−0.727747	−	0.727747i	0.242423	−	0.970171i	$-0.422058\pi$
$31$	−4.05193	−	4.05193i	−0.727747	−	0.727747i	−0.970171	+	0.242423i	$0.922058\pi$
$32$	7.38342	−	7.38342i	1.30522	−	1.30522i
$33$	−0.453222	−	0.460760i	−0.0788958	−	0.0802081i
$34$	3.40446	+	0.912223i	0.583861	+	0.156445i
$35$	2.21749	−	0.547542i	0.374824	−	0.0925515i
$36$	12.4217	+	7.44751i	2.07028	+	1.24125i
$37$	−2.15017	−	8.02454i	−0.353486	−	1.31923i	−0.882379	−	0.470539i	$-0.844060\pi$
$37$	−2.15017	−	8.02454i	−0.353486	−	1.31923i	0.528894	−	0.848688i	$-0.322607\pi$
$38$	3.01575	−	5.22343i	0.489219	−	0.847353i
$39$	3.86257	−	4.90720i	0.618506	−	0.785780i
$40$	−3.18941	−	5.52422i	−0.504290	−	0.873456i
$41$	−0.598927	−	2.23523i	−0.0935367	−	0.349084i	0.903257	−	0.429100i	$-0.141169\pi$
$41$	−0.598927	−	2.23523i	−0.0935367	−	0.349084i	−0.996794	+	0.0800166i	$0.974503\pi$
$42$	11.6484	−	2.77449i	1.79738	−	0.428113i
$43$	6.36292	−	3.67363i	0.970336	−	0.560223i	0.0709970	−	0.997477i	$-0.477382\pi$
$43$	6.36292	−	3.67363i	0.970336	−	0.560223i	0.899339	+	0.437253i	$0.144049\pi$
$44$	0.466247	+	1.74006i	0.0702894	+	0.262324i
$45$	1.86130	−	1.80089i	0.277466	−	0.268460i
$46$	−17.6699	−	4.73464i	−2.60529	−	0.698085i
$47$	0.509649	+	0.509649i	0.0743399	+	0.0743399i	0.743299	−	0.668959i	$-0.233260\pi$
$47$	0.509649	+	0.509649i	0.0743399	+	0.0743399i	−0.668959	+	0.743299i	$0.733260\pi$
$48$	−8.23880	−	14.5458i	−1.18917	−	2.09950i
$49$	3.73632	−	5.91945i	0.533761	−	0.845636i
$50$	10.7387	−	2.87743i	1.51868	−	0.406930i
$51$	1.18479	−	2.01359i	0.165904	−	0.281958i
$52$	−16.1088	+	6.59536i	−2.23388	+	0.914611i
$53$	8.86913	−	5.12060i	1.21827	−	0.703368i	0.253722	−	0.967277i	$-0.418345\pi$
$53$	8.86913	−	5.12060i	1.21827	−	0.703368i	0.964547	+	0.263909i	$0.0850120\pi$
$54$	9.83535	−	9.36028i	1.33842	−	1.27377i
$55$	0.322137			0.0434369
$56$	−18.7795	−	5.43106i	−2.50952	−	0.725756i
$57$	−2.80363	−	2.85027i	−0.371350	−	0.377527i
$58$	−4.19075	+	15.6401i	−0.550272	+	2.05364i
$59$	−7.09004	−	7.09004i	−0.923045	−	0.923045i	0.0741983	−	0.997244i	$-0.476360\pi$
$59$	−7.09004	−	7.09004i	−0.923045	−	0.923045i	−0.997244	+	0.0741983i	$0.976360\pi$
$60$	−6.98804	+	1.81080i	−0.902152	+	0.233773i
$61$	0.717993			0.0919296			0.0459648	−	0.998943i	$-0.485364\pi$
$61$	0.717993			0.0919296			0.0459648	+	0.998943i	$0.485364\pi$
$62$	14.9732			1.90160
$63$	0.287403	−	7.93205i	0.0362094	−	0.999344i
$64$			7.98108i			0.997635i
$65$	0.393652	+	3.08769i	0.0488266	+	0.382981i
$66$	1.68873	+	0.0139289i	0.207869	+	0.00171453i
$67$	6.50123	+	6.50123i	0.794252	+	0.794252i	0.982182	−	0.187930i	$-0.0601780\pi$
$67$	6.50123	+	6.50123i	0.794252	+	0.794252i	−0.187930	+	0.982182i	$0.560178\pi$
$68$	−5.63950	+	3.25597i	−0.683890	+	0.394844i
$69$	−6.14935	+	10.4510i	−0.740295	+	1.25815i
$70$	−3.08550	+	5.10885i	−0.368787	+	0.610624i
$71$	−8.47218	+	8.47218i	−1.00546	+	1.00546i	−0.00547776	+	0.999985i	$0.501744\pi$
$71$	−8.47218	+	8.47218i	−1.00546	+	1.00546i	−0.999985	+	0.00547776i	$0.998256\pi$
$72$	−21.5030	+	5.38316i	−2.53415	+	0.634412i
$73$	8.34347	+	2.23563i	0.976529	+	0.261660i	0.711582	−	0.702603i	$-0.247979\pi$
$73$	8.34347	+	2.23563i	0.976529	+	0.261660i	0.264947	+	0.964263i	$0.414646\pi$
$74$	18.7995	+	10.8539i	2.18539	+	1.26174i
$75$	0.0607817	−	7.36912i	0.00701847	−	0.850913i
$76$	2.88421	+	10.7640i	0.330841	+	1.23472i
$77$	0.711720	−	0.684187i	0.0811080	−	0.0779703i
$78$	1.93013	+	16.2036i	0.218544	+	1.83469i
$79$	−9.28477			−1.04462			−0.522309	−	0.852756i	$-0.674929\pi$
$79$	−9.28477			−1.04462			−0.522309	+	0.852756i	$0.674929\pi$
$80$	8.04830	+	2.15654i	0.899827	+	0.241108i
$81$	−4.24045	−	7.93842i	−0.471161	−	0.882047i
$82$	5.23657	+	3.02333i	0.578282	+	0.333871i
$83$	2.97402	+	0.796885i	0.326441	+	0.0874695i	0.418318	−	0.908301i	$-0.362620\pi$
$83$	2.97402	+	0.796885i	0.326441	+	0.0874695i	−0.0918768	+	0.995770i	$0.529287\pi$
$84$	−11.5932	+	18.8426i	−1.26492	+	2.05590i
$85$	0.301388	+	1.12480i	0.0326901	+	0.122001i
$86$	−4.96890	+	18.5442i	−0.535810	+	1.99967i
$87$	9.25040	+	5.44294i	0.991747	+	0.583544i
$88$	−2.38773	−	1.37855i	−0.254532	−	0.146954i
$89$	−10.4461	+	2.79903i	−1.10729	+	0.296697i	−0.765729	−	0.643164i	$-0.777621\pi$
$89$	−10.4461	+	2.79903i	−1.10729	+	0.296697i	−0.341558	+	0.939861i	$0.610955\pi$
$90$	−0.111630	+	6.76650i	−0.0117668	+	0.713251i
$91$	7.42768	+	5.98578i	0.778633	+	0.627480i
$92$	29.2703	−	16.8992i	3.05164	−	1.76186i
$93$	2.64780	−	9.56545i	0.274564	−	0.991891i
$94$	−1.88332			−0.194250
$95$	1.99274			0.204451
$96$	17.4302	+	4.82483i	1.77896	+	0.492432i
$97$	2.86794	−	10.7033i	0.291195	−	1.08675i	−0.652997	−	0.757360i	$-0.726489\pi$
$97$	2.86794	−	10.7033i	0.291195	−	1.08675i	0.944192	−	0.329394i	$-0.106845\pi$
$98$	4.03368	+	17.8406i	0.407464	+	1.80218i
$99$	0.307527	−	1.07636i	0.0309076	−	0.108179i
$100$	−10.2703	+	17.7887i	−1.02703	+	1.77887i
$101$	1.80971	−	3.13451i	0.180073	−	0.311896i	−0.761832	−	0.647774i	$-0.775700\pi$
$101$	1.80971	−	3.13451i	0.180073	−	0.311896i	0.941905	+	0.335879i	$0.109033\pi$
$102$	1.53133	+	5.90954i	0.151624	+	0.585131i
$103$	3.88720	−	2.24427i	0.383017	−	0.221135i	−0.296113	−	0.955153i	$-0.595691\pi$
$103$	3.88720	−	2.24427i	0.383017	−	0.221135i	0.679130	+	0.734018i	$0.262357\pi$
$104$	10.2957	−	24.5710i	1.00957	−	2.40939i
$105$	2.71810	+	2.87456i	0.265259	+	0.280528i
$106$	−6.92604	+	25.8483i	−0.672717	+	2.51061i
$107$	−7.48104	−	4.31918i	−0.723219	−	0.417551i	0.0927173	−	0.995692i	$-0.470445\pi$
$107$	−7.48104	−	4.31918i	−0.723219	−	0.417551i	−0.815936	+	0.578142i	$0.803778\pi$
$108$	−0.620654	+	25.0780i	−0.0597225	+	2.41313i
$109$	−3.24934	+	12.1267i	−0.311230	+	1.16153i	0.616218	+	0.787576i	$0.288664\pi$
$109$	−3.24934	+	12.1267i	−0.311230	+	1.16153i	−0.927448	+	0.373952i	$0.878003\pi$
$110$	−0.595201	+	0.595201i	−0.0567502	+	0.0567502i
$111$	10.2583	−	10.0904i	0.973673	−	0.957743i
$112$	22.3620	−	12.3292i	2.11301	−	1.16500i
$113$	−15.3224	−	8.84636i	−1.44141	−	0.832196i	−0.443462	−	0.896293i	$-0.646250\pi$
$113$	−15.3224	−	8.84636i	−1.44141	−	0.832196i	−0.997944	+	0.0640972i	$0.979583\pi$
$114$	10.4465	+	0.0861645i	0.978405	+	0.00807005i
$115$	−1.56427	−	5.83794i	−0.145869	−	0.544391i
$116$	−14.9579	−	25.9078i	−1.38881	−	2.40548i
$117$	10.6928	+	1.63234i	0.988548	+	0.150910i
$118$	26.2001			2.41191
$119$	3.05484	+	1.84497i	0.280036	+	0.169128i
$120$	5.60295	−	9.52234i	0.511477	−	0.869267i
$121$	−9.40570	+	5.43038i	−0.855063	+	0.493671i
$122$	−1.32661	+	1.32661i	−0.120106	+	0.120106i
$123$	2.85743	−	2.81068i	0.257646	−	0.253431i
$124$	−19.5616	+	19.5616i	−1.75669	+	1.75669i
$125$	5.64951	+	5.64951i	0.505308	+	0.505308i
$126$	14.1247	+	15.1868i	1.25833	+	1.35295i
$127$		−	4.12998i		−	0.366476i	−0.983069	−	0.183238i	$-0.941342\pi$
$127$		−	4.12998i		−	0.366476i	0.983069	−	0.183238i	$-0.0586580\pi$
$128$	0.0204719	+	0.0204719i	0.00180948	+	0.00180948i
$129$	10.9680	+	6.45360i	0.965682	+	0.568208i
$130$	−6.43236	−	4.97768i	−0.564155	−	0.436572i
$131$	−9.27395	+	5.35431i	−0.810268	+	0.467809i	−0.847049	−	0.531515i	$-0.821623\pi$
$131$	−9.27395	+	5.35431i	−0.810268	+	0.467809i	0.0367807	+	0.999323i	$0.488290\pi$
$132$	−2.22443	+	2.18803i	−0.193612	+	0.190444i
$133$	4.40270	−	4.23238i	0.381763	−	0.366994i
$134$	−24.0242			−2.07537
$135$	4.30295	+	1.26787i	0.370339	+	0.109121i
$136$	2.57953	−	9.62692i	0.221192	−	0.825502i
$137$	−5.89803	+	1.58037i	−0.503903	+	0.135020i	−0.501811	−	0.864977i	$-0.667333\pi$
$137$	−5.89803	+	1.58037i	−0.503903	+	0.135020i	−0.00209203	+	0.999998i	$0.500666\pi$
$138$	−7.94794	−	30.6718i	−0.676573	−	2.61096i
$139$	−0.750434	+	1.29979i	−0.0636510	+	0.110247i	−0.896095	−	0.443863i	$-0.853608\pi$
$139$	−0.750434	+	1.29979i	−0.0636510	+	0.110247i	0.832444	+	0.554110i	$0.186941\pi$
$140$	−2.64339	−	10.7054i	−0.223407	−	0.904774i
$141$	−0.333039	+	1.20314i	−0.0280470	+	0.101322i
$142$		−	31.3075i		−	2.62727i
$143$	0.814647	+	1.07071i	0.0681242	+	0.0895376i
$144$	14.8890	−	24.8332i	1.24075	−	2.06944i
$145$	−5.16730	+	1.38458i	−0.429121	+	0.114983i
$146$	−19.5466	+	11.2852i	−1.61769	+	0.933974i
$147$	12.1106	+	0.577999i	0.998863	+	0.0476726i
$148$	−38.7404	+	10.3804i	−3.18444	+	0.853268i
$149$	16.4382	+	4.40461i	1.34667	+	0.360840i	0.858906	−	0.512133i	$-0.171145\pi$
$149$	16.4382	+	4.40461i	1.34667	+	0.360840i	0.487768	+	0.872973i	$0.337811\pi$
$150$	13.5034	+	13.7280i	1.10254	+	1.12088i
$151$	−4.88699	−	18.2385i	−0.397697	−	1.48423i	−0.817137	−	0.576443i	$-0.804440\pi$
$151$	−4.88699	−	18.2385i	−0.397697	−	1.48423i	0.419440	−	0.907783i	$-0.362226\pi$
$152$	−14.7705	−	8.52774i	−1.19804	−	0.691691i
$153$	4.04603	+	0.0667491i	0.327102	+	0.00539635i
$154$	−0.0508713	+	2.57917i	−0.00409932	+	0.207835i
$155$	2.47349	+	4.28421i	0.198675	+	0.344116i
$156$	−23.6906	−	18.6474i	−1.89677	−	1.49299i
$157$	0.378910			0.0302403			0.0151201	−	0.999886i	$-0.495187\pi$
$157$	0.378910			0.0302403			0.0151201	+	0.999886i	$0.495187\pi$
$158$	17.1552	−	17.1552i	1.36479	−	1.36479i
$159$	15.2881	+	8.99553i	1.21243	+	0.713392i
$160$	−7.80668	+	4.50719i	−0.617173	+	0.356325i
$161$	−15.8553	−	9.57583i	−1.24957	−	0.754681i
$162$	22.5025	+	6.83262i	1.76796	+	0.536821i
$163$	−2.33074	−	8.69846i	−0.182558	−	0.681316i	−0.995140	−	0.0984691i	$-0.968605\pi$
$163$	−2.33074	−	8.69846i	−0.182558	−	0.681316i	0.812582	−	0.582847i	$-0.198061\pi$
$164$	−10.7911	+	2.89146i	−0.842642	+	0.225785i
$165$	0.274984	+	0.485490i	0.0214074	+	0.0377953i
$166$	−6.96736	+	4.02261i	−0.540772	+	0.312215i
$167$	−17.5996	+	4.71580i	−1.36190	+	0.364919i	−0.864513	−	0.502611i	$-0.832373\pi$
$167$	−17.5996	+	4.71580i	−1.36190	+	0.364919i	−0.497384	+	0.867530i	$0.665706\pi$
$168$	−7.84553	−	32.9385i	−0.605295	−	2.54126i
$169$	−9.26733	+	9.11683i	−0.712871	+	0.701295i
$170$	−2.63511	−	1.52138i	−0.202104	−	0.116685i
$171$	1.90236	−	6.65839i	0.145477	−	0.509179i
$172$	−17.7353	−	30.7185i	−1.35231	−	2.34226i
$173$	−3.31926			−0.252359			−0.126180	−	0.992007i	$-0.540272\pi$
$173$	−3.31926			−0.252359			−0.126180	+	0.992007i	$0.540272\pi$
$174$	−27.1484	+	7.03491i	−2.05811	+	0.533315i
$175$	11.2547	+	0.221987i	0.850776	+	0.0167806i
$176$	3.47871	−	0.932116i	0.262217	−	0.0702609i
$177$	4.63312	−	16.7376i	0.348246	−	1.25807i
$178$	14.1293	−	24.4726i	1.05903	−	1.83430i
$179$	4.00862	+	6.94313i	0.299618	+	0.518954i	0.976049	−	0.217553i	$-0.0698074\pi$
$179$	4.00862	+	6.94313i	0.299618	+	0.518954i	−0.676430	+	0.736507i	$0.736474\pi$
$180$	−8.69419	−	8.98587i	−0.648027	−	0.669767i
$181$		−	21.2682i		−	1.58085i	−0.612559	−	0.790425i	$-0.709860\pi$
$181$		−	21.2682i		−	1.58085i	0.612559	−	0.790425i	$-0.290140\pi$
$182$	−24.7836	+	2.66415i	−1.83708	+	0.197480i
$183$	0.612896	+	1.08208i	0.0453066	+	0.0799897i
$184$	−13.3883	+	49.9659i	−0.987000	+	3.68353i
$185$			7.17199i			0.527295i
$186$	12.7815	+	22.5660i	0.937184	+	1.65462i
$187$	0.355900	+	0.355900i	0.0260260	+	0.0260260i
$188$	2.46045	−	2.46045i	0.179447	−	0.179447i
$189$	12.1997	−	6.33785i	0.887395	−	0.461010i
$190$	−3.68191	+	3.68191i	−0.267114	+	0.267114i
$191$			2.68207i			0.194068i	0.995281	+	0.0970339i	$0.0309355\pi$
$191$			2.68207i			0.194068i	−0.995281	+	0.0970339i	$0.969064\pi$
$192$	−12.0282	+	6.81285i	−0.868062	+	0.491675i
$193$	−7.37492	+	7.37492i	−0.530858	+	0.530858i	−0.920828	−	0.389970i	$-0.872486\pi$
$193$	−7.37492	+	7.37492i	−0.530858	+	0.530858i	0.389970	+	0.920828i	$0.372486\pi$
$194$	14.4771	+	25.0751i	1.03940	+	1.80029i
$195$	−4.31740	+	3.22900i	−0.309176	+	0.231233i
$196$	−28.5775	−	18.0380i	−2.04125	−	1.28843i
$197$	10.0485	−	10.0485i	0.715927	−	0.715927i	−0.251842	−	0.967768i	$-0.581036\pi$
$197$	10.0485	−	10.0485i	0.715927	−	0.715927i	0.967768	+	0.251842i	$0.0810362\pi$
$198$	1.42055	+	2.55697i	0.100954	+	0.181716i
$199$	19.0890	−	11.0211i	1.35319	−	0.781262i	0.364491	−	0.931207i	$-0.381243\pi$
$199$	19.0890	−	11.0211i	1.35319	−	0.781262i	0.988694	+	0.149945i	$0.0479095\pi$
$200$	−8.13660	−	30.3662i	−0.575344	−	2.14721i
$201$	−4.24835	+	15.3476i	−0.299655	+	1.08253i
$202$	2.44779	+	9.13527i	0.172226	+	0.642755i
$203$	−8.47579	+	14.0339i	−0.594884	+	0.984986i
$204$	−9.72106	−	5.71987i	−0.680610	−	0.400471i
$205$			1.99775i			0.139529i
$206$	−3.03557	+	11.3289i	−0.211498	+	0.789322i
$207$	−20.9998	−	0.346443i	−1.45959	−	0.0240794i
$208$	13.1854	+	32.2045i	0.914240	+	2.23298i
$209$	0.745924	−	0.430659i	0.0515966	−	0.0297893i
$210$	−10.3334	−	0.289092i	−0.713069	−	0.0199493i
$211$	−2.61645	+	4.53183i	−0.180124	+	0.311984i	−0.941923	−	0.335830i	$-0.890983\pi$
$211$	−2.61645	+	4.53183i	−0.180124	+	0.311984i	0.761799	+	0.647814i	$0.224317\pi$
$212$	−24.7209	−	42.8178i	−1.69784	−	2.94074i
$213$	−20.0004	−	5.53630i	−1.37041	−	0.379341i
$214$	21.8028	−	5.84205i	1.49041	−	0.399355i
$215$	−6.12678	+	1.64167i	−0.417843	+	0.111961i
$216$	−26.4684	−	27.8118i	−1.80094	−	1.89235i
$217$	14.5641	+	4.21196i	0.988675	+	0.285926i
$218$	−16.4024	−	28.4098i	−1.11091	−	1.92415i
$219$	3.75289	+	14.4828i	0.253597	+	0.978654i
$220$		−	1.55519i		−	0.104851i
$221$	−2.97641	+	3.84623i	−0.200215	+	0.258725i
$222$	−0.310111	+	37.5976i	−0.0208133	+	2.52339i
$223$	−2.57077	+	9.59425i	−0.172152	+	0.642478i	0.824868	+	0.565326i	$0.191250\pi$
$223$	−2.57077	+	9.59425i	−0.172152	+	0.642478i	−0.997019	+	0.0771527i	$0.975417\pi$
$224$	−7.67503	+	26.5387i	−0.512810	+	1.77319i
$225$	11.1578	−	6.19885i	0.743855	−	0.413257i
$226$	44.6557	−	11.9655i	2.97045	−	0.795930i
$227$	−2.49178	−	9.29944i	−0.165385	−	0.617225i	−0.997991	−	0.0633593i	$-0.979819\pi$
$227$	−2.49178	−	9.29944i	−0.165385	−	0.617225i	0.832606	−	0.553866i	$-0.186848\pi$
$228$	−13.7603	+	13.5352i	−0.911300	+	0.896390i
$229$	−26.3708	−	7.06602i	−1.74263	−	0.466936i	−0.759600	−	0.650390i	$-0.774605\pi$
$229$	−26.3708	−	7.06602i	−1.74263	−	0.466936i	−0.983028	+	0.183455i	$0.941272\pi$
$230$	13.6768	+	7.89631i	0.901823	+	0.520667i
$231$	1.63867	+	0.488588i	0.107817	+	0.0321468i
$232$	44.2260	+	11.8503i	2.90358	+	0.778012i
$233$	0.168738	−	0.292262i	0.0110544	−	0.0191467i	−0.860445	−	0.509543i	$-0.829815\pi$
$233$	0.168738	−	0.292262i	0.0110544	−	0.0191467i	0.871500	+	0.490396i	$0.163148\pi$
$234$	−22.7727	+	16.7407i	−1.48870	+	1.09437i
$235$	−0.311114	−	0.538865i	−0.0202948	−	0.0351517i
$236$	−34.2289	+	34.2289i	−2.22811	+	2.22811i
$237$	−7.92571	−	13.9930i	−0.514830	−	0.908944i
$238$	−9.05321	+	2.23542i	−0.586832	+	0.144901i
$239$	1.01178	+	3.77602i	0.0654468	+	0.244251i	0.990898	−	0.134617i	$-0.0429803\pi$
$239$	1.01178	+	3.77602i	0.0654468	+	0.244251i	−0.925451	+	0.378867i	$0.876314\pi$
$240$	3.62013	+	13.9704i	0.233678	+	0.901785i
$241$	−6.59300	−	24.6054i	−0.424692	−	1.58497i	−0.764594	−	0.644513i	$-0.777060\pi$
$241$	−6.59300	−	24.6054i	−0.424692	−	1.58497i	0.339901	−	0.940461i	$-0.389606\pi$
$242$	7.34505	−	27.4121i	0.472158	−	1.76212i
$243$	8.34418	−	13.1672i	0.535280	−	0.844675i
$244$		−	3.46628i		−	0.221906i
$245$	−4.43831	+	4.10131i	−0.283553	+	0.262023i
$246$	−0.0863812	+	10.4728i	−0.00550746	+	0.667720i
$247$	5.03941	+	6.62344i	0.320650	+	0.421439i
$248$		−	42.3402i		−	2.68861i
$249$	1.33771	+	5.16236i	0.0847741	+	0.327151i
$250$	−20.8768			−1.32037
$251$	−28.9588			−1.82787			−0.913933	−	0.405866i	$-0.866970\pi$
$251$	−28.9588			−1.82787			−0.913933	+	0.405866i	$0.866970\pi$
$252$	−38.2938	−	1.38751i	−2.41228	−	0.0874046i
$253$	−1.84720	−	1.84720i	−0.116133	−	0.116133i
$254$	7.63082	+	7.63082i	0.478800	+	0.478800i
$255$	−1.43790	+	1.41437i	−0.0900447	+	0.0885715i
$256$	−16.0378			−1.00236
$257$	−7.60611	−	13.1742i	−0.474456	−	0.821782i	0.525116	−	0.851031i	$-0.324022\pi$
$257$	−7.60611	−	13.1742i	−0.474456	−	0.821782i	−0.999572	+	0.0292484i	$0.990689\pi$
$258$	−32.1894	+	8.34117i	−2.00402	+	0.519299i
$259$	15.2326	+	15.8456i	0.946509	+	0.984598i
$260$	14.9066	−	1.90045i	0.924465	−	0.117861i
$261$	−0.306645	+	18.5874i	−0.0189808	+	1.15053i
$262$	7.24217	−	27.0281i	0.447422	−	1.66980i
$263$	−12.0930	−	6.98190i	−0.745687	−	0.430522i	0.0784467	−	0.996918i	$-0.475004\pi$
$263$	−12.0930	−	6.98190i	−0.745687	−	0.430522i	−0.824133	+	0.566396i	$0.808337\pi$
$264$	0.0393874	−	4.77529i	0.00242412	−	0.293899i
$265$	−8.53999	+	2.28828i	−0.524608	+	0.140568i
$266$	−0.314690	+	15.9547i	−0.0192949	+	0.978248i
$267$	−13.1355	−	13.3540i	−0.803877	−	0.817248i
$268$	31.3862	−	31.3862i	1.91722	−	1.91722i
$269$	−10.9375	+	6.31477i	−0.666872	+	0.385019i	−0.794890	−	0.606753i	$-0.792472\pi$
$269$	−10.9375	+	6.31477i	−0.666872	+	0.385019i	0.128019	+	0.991772i	$0.459138\pi$
$270$	−10.2930	+	5.60781i	−0.626413	+	0.341280i
$271$	1.94990	+	7.27712i	0.118448	+	0.442053i	0.999522	−	0.0309253i	$-0.00984539\pi$
$271$	1.94990	+	7.27712i	0.118448	+	0.442053i	−0.881074	+	0.472979i	$0.843179\pi$
$272$	6.50929	+	11.2744i	0.394684	+	0.683612i
$273$	−2.68067	+	16.3038i	−0.162242	+	0.986751i
$274$	7.97759	−	13.8176i	0.481944	−	0.834751i
$275$	1.53352	+	0.410906i	0.0924749	+	0.0247786i
$276$	50.4545	+	29.6874i	3.03700	+	1.78697i
$277$	9.20313	+	5.31343i	0.552963	+	0.319253i	0.750316	−	0.661079i	$-0.229901\pi$
$277$	9.20313	+	5.31343i	0.552963	+	0.319253i	−0.197353	+	0.980332i	$0.563235\pi$
$278$	−1.01503	−	3.78813i	−0.0608772	−	0.227197i
$279$	16.6762	−	4.17481i	0.998380	−	0.249940i
$280$	14.4465	+	8.72497i	0.863341	+	0.521416i
$281$	3.46949	−	12.9483i	0.206972	−	0.772432i	−0.781867	−	0.623446i	$-0.785732\pi$
$281$	3.46949	−	12.9483i	0.206972	−	0.772432i	0.988839	−	0.148986i	$-0.0476010\pi$
$282$	−1.60765	−	2.83834i	−0.0957341	−	0.169021i
$283$			22.9333i			1.36324i	0.731704	+	0.681622i	$0.238725\pi$
$283$			22.9333i			1.36324i	−0.731704	+	0.681622i	$0.761275\pi$
$284$	40.9014	+	40.9014i	2.42705	+	2.42705i
$285$	1.70105	+	3.00324i	0.100761	+	0.177897i
$286$	−3.48351	−	0.473126i	−0.205985	−	0.0279765i
$287$	4.24303	+	4.41377i	0.250458	+	0.260537i
$288$	7.60735	+	30.3874i	0.448267	+	1.79060i
$289$	7.59029	−	13.1468i	0.446488	−	0.773339i
$290$	6.98922	−	12.1057i	0.410421	−	0.710870i
$291$	18.5790	−	4.81434i	1.08912	−	0.282222i
$292$	10.7930	−	40.2800i	0.631613	−	2.35721i
$293$	5.95708	−	1.59620i	0.348016	−	0.0932507i	−0.0805765	−	0.996748i	$-0.525676\pi$
$293$	5.95708	−	1.59620i	0.348016	−	0.0932507i	0.428593	+	0.903498i	$0.359009\pi$
$294$	−23.4442	+	21.3083i	−1.36730	+	1.24273i
$295$	4.32810	+	7.49649i	0.251992	+	0.436462i
$296$	30.6919	−	53.1599i	1.78393	−	3.08986i
$297$	1.88469	−	0.455338i	0.109361	−	0.0264214i
$298$	−38.5106	+	22.2341i	−2.23086	+	1.28799i
$299$	15.4482	−	19.9628i	0.893393	−	1.15448i
$300$	−35.5761	−	0.293438i	−2.05399	−	0.0169416i
$301$	−10.0496	+	16.6397i	−0.579250	+	0.959099i
$302$	42.7281	+	24.6691i	2.45873	+	1.41955i
$303$	6.26881	+	0.0517062i	0.360134	+	0.00297044i
$304$	21.5193	−	5.76608i	1.23422	−	0.330707i
$305$	−0.598725	−	0.160428i	−0.0342829	−	0.00918607i
$306$	−7.59903	+	7.35237i	−0.434408	+	0.420307i
$307$	20.5593	−	20.5593i	1.17338	−	1.17338i	0.191984	−	0.981398i	$-0.438508\pi$
$307$	20.5593	−	20.5593i	1.17338	−	1.17338i	0.981398	−	0.191984i	$-0.0614921\pi$
$308$	−3.30307	−	3.43599i	−0.188210	−	0.195784i
$309$	6.70053	+	3.94260i	0.381180	+	0.224287i
$310$	−12.4860	−	3.34560i	−0.709155	−	0.190017i
$311$	22.6547			1.28463			0.642314	−	0.766441i	$-0.277974\pi$
$311$	22.6547			1.28463			0.642314	+	0.766441i	$0.277974\pi$
$312$	45.8194	−	5.45789i	2.59402	−	0.308992i
$313$	−28.9858			−1.63838			−0.819188	−	0.573525i	$-0.805576\pi$
$313$	−28.9858			−1.63838			−0.819188	+	0.573525i	$0.805576\pi$
$314$	−0.700098	+	0.700098i	−0.0395088	+	0.0395088i
$315$	−2.01199	+	6.55021i	−0.113363	+	0.369063i
$316$			44.8244i			2.52157i
$317$	−6.09998	+	6.09998i	−0.342609	+	0.342609i	−0.857347	−	0.514738i	$-0.827889\pi$
$317$	−6.09998	+	6.09998i	−0.342609	+	0.342609i	0.514738	+	0.857347i	$0.327889\pi$
$318$	−44.8681	+	11.6266i	−2.51608	+	0.651986i
$319$	−1.63500	+	1.63500i	−0.0915426	+	0.0915426i
$320$	1.78329	−	6.65532i	0.0996888	−	0.372044i
$321$	0.123405	−	14.9616i	0.00688782	−	0.835073i
$322$	46.9882	−	11.6023i	2.61855	−	0.646573i
$323$	2.20160	+	2.20160i	0.122500	+	0.122500i
$324$	−38.3246	+	20.4718i	−2.12914	+	1.13732i
$325$	−2.06458	+	15.2010i	−0.114522	+	0.843200i
$326$	20.3783	+	11.7654i	1.12865	+	0.651625i
$327$	−21.0498	+	5.45459i	−1.16406	+	0.301640i
$328$	8.54919	−	14.8076i	0.472050	−	0.817614i
$329$	−1.83186	−	0.529778i	−0.100994	−	0.0292076i
$330$	−1.40510	−	0.388944i	−0.0773482	−	0.0214107i
$331$	−17.5811	−	17.5811i	−0.966345	−	0.966345i	0.0331071	−	0.999452i	$-0.489460\pi$
$331$	−17.5811	−	17.5811i	−0.966345	−	0.966345i	−0.999452	+	0.0331071i	$0.989460\pi$
$332$	3.84715	−	14.3578i	0.211140	−	0.787985i
$333$	23.9639	+	6.84673i	1.31322	+	0.375199i
$334$	23.8049	−	41.2314i	1.30255	−	2.25608i
$335$	−3.96866	−	6.87392i	−0.216831	−	0.375562i
$336$	37.6700	+	23.1770i	2.05507	+	1.26441i
$337$	9.53788	+	5.50670i	0.519561	+	0.299969i	0.736755	−	0.676160i	$-0.236357\pi$
$337$	9.53788	+	5.50670i	0.519561	+	0.299969i	−0.217194	+	0.976128i	$0.569690\pi$
$338$	0.278064	−	33.9678i	0.0151247	−	1.84760i
$339$	0.252754	−	30.6437i	0.0137277	−	1.66434i
$340$	5.43022	−	1.45502i	0.294495	−	0.0789097i
$341$	1.85176	+	1.06911i	0.100278	+	0.0578957i
$342$	8.78753	+	15.8174i	0.475175	+	0.855307i
$343$	−1.09509	+	18.4879i	−0.0591295	+	0.998250i
$344$	52.4380	+	14.0507i	2.82727	+	0.757564i
$345$	7.46302	−	7.34091i	0.401795	−	0.395221i
$346$	6.13289	−	6.13289i	0.329706	−	0.329706i
$347$			31.3120i			1.68092i	0.541877	+	0.840458i	$0.317714\pi$
$347$			31.3120i			1.68092i	−0.541877	+	0.840458i	$0.682286\pi$
$348$	26.2771	−	44.6585i	1.40860	−	2.39394i
$349$	−7.41144	−	1.98589i	−0.396725	−	0.106302i	0.0549400	−	0.998490i	$-0.482503\pi$
$349$	−7.41144	−	1.98589i	−0.396725	−	0.106302i	−0.451665	+	0.892187i	$0.649170\pi$
$350$	−21.2051	+	20.3848i	−1.13346	+	1.08961i
$351$	6.66753	+	17.5084i	0.355886	+	0.934529i
$352$	−1.94814	+	3.37427i	−0.103836	+	0.179849i
$353$	−1.86065	−	6.94403i	−0.0990323	−	0.369594i	0.898568	−	0.438835i	$-0.144609\pi$
$353$	−1.86065	−	6.94403i	−0.0990323	−	0.369594i	−0.997600	+	0.0692415i	$0.977942\pi$
$354$	22.3650	+	39.4859i	1.18869	+	2.09865i
$355$	8.95786	−	5.17182i	0.475434	−	0.274492i
$356$	13.5130	+	50.4311i	0.716186	+	2.67284i
$357$	−0.172863	+	6.17883i	−0.00914887	+	0.327018i
$358$	−20.2352	−	5.42200i	−1.06946	−	0.286561i
$359$	−3.14768	+	0.843417i	−0.166128	+	0.0445138i	−0.340924	−	0.940091i	$-0.610740\pi$
$359$	−3.14768	+	0.843417i	−0.166128	+	0.0445138i	0.174796	+	0.984605i	$0.444073\pi$
$360$	19.1339	+	0.315660i	1.00844	+	0.0166367i
$361$	−11.8402	+	6.83594i	−0.623168	+	0.359786i
$362$	39.2964	+	39.2964i	2.06538	+	2.06538i
$363$	−16.2130	−	9.53974i	−0.850963	−	0.500707i
$364$	28.8978	−	35.8589i	1.51465	−	1.87952i
$365$	−6.45798	−	3.72852i	−0.338026	−	0.195160i
$366$	−3.13175	−	0.866897i	−0.163699	−	0.0453134i
$367$	−4.75604	+	8.23771i	−0.248263	+	0.430005i	−0.963044	−	0.269344i	$-0.913193\pi$
$367$	−4.75604	+	8.23771i	−0.248263	+	0.430005i	0.714781	+	0.699349i	$0.246527\pi$
$368$	−33.7847	−	58.5168i	−1.76115	−	3.05040i
$369$	6.67513	+	1.90715i	0.347493	+	0.0992822i
$370$	−13.2514	−	13.2514i	−0.688910	−	0.688910i
$371$	−14.0079	+	23.1938i	−0.727256	+	1.20416i
$372$	−46.1794	−	12.7829i	−2.39429	−	0.662762i
$373$	3.47277	+	6.01502i	0.179813	+	0.311446i	0.941817	−	0.336127i	$-0.109117\pi$
$373$	3.47277	+	6.01502i	0.179813	+	0.311446i	−0.762003	+	0.647573i	$0.775784\pi$
$374$	−1.31517			−0.0680058
$375$	−3.69177	+	13.3369i	−0.190642	+	0.688714i
$376$			5.32553i			0.274643i
$377$	−17.6696	−	13.6736i	−0.910028	−	0.704226i
$378$	−10.8307	+	34.2511i	−0.557070	+	1.76169i
$379$	−2.00980	−	2.00980i	−0.103237	−	0.103237i	0.653602	−	0.756839i	$-0.273257\pi$
$379$	−2.00980	−	2.00980i	−0.103237	−	0.103237i	−0.756839	+	0.653602i	$0.773257\pi$
$380$		−	9.62041i		−	0.493517i
$381$	6.22426	−	3.52545i	0.318878	−	0.180614i
$382$	−4.95557	−	4.95557i	−0.253549	−	0.253549i
$383$	16.1703	+	4.33282i	0.826264	+	0.221397i	0.647083	−	0.762419i	$-0.275989\pi$
$383$	16.1703	+	4.33282i	0.826264	+	0.221397i	0.179181	+	0.983816i	$0.442655\pi$
$384$	−0.0133777	+	0.0483284i	−0.000682680	+	0.00246625i
$385$	−0.746368	+	0.411508i	−0.0380384	+	0.0209724i
$386$		−	27.2528i		−	1.38713i
$387$	−0.363584	+	22.0388i	−0.0184820	+	1.12029i
$388$	−51.6726	−	13.8456i	−2.62328	−	0.702906i
$389$	−5.76171	+	9.97957i	−0.292130	+	0.505984i	−0.974313	−	0.225197i	$-0.927697\pi$
$389$	−5.76171	+	9.97957i	−0.292130	+	0.505984i	0.682183	+	0.731181i	$0.261031\pi$
$390$	2.01101	−	13.9432i	0.101831	−	0.706043i
$391$	4.72160	−	8.17806i	0.238782	−	0.413582i
$392$	50.4486	−	11.4062i	2.54804	−	0.576099i
$393$	−15.9859	−	9.40612i	−0.806382	−	0.474476i
$394$			37.1326i			1.87071i
$395$	7.74245	+	2.07458i	0.389565	+	0.104384i
$396$	−5.19639	−	1.48466i	−0.261129	−	0.0746070i
$397$	0.777098	+	2.90017i	0.0390014	+	0.145555i	0.982681	−	0.185306i	$-0.0593275\pi$
$397$	0.777098	+	2.90017i	0.0390014	+	0.145555i	−0.943679	+	0.330861i	$0.892661\pi$
$398$	−14.9069	+	55.6334i	−0.747216	+	2.78865i
$399$	10.1368	+	3.02241i	0.507477	+	0.151310i
$400$	35.5629	+	20.5323i	1.77815	+	1.02661i
$401$	−1.87785	+	7.00823i	−0.0937753	+	0.349974i	−0.996831	−	0.0795494i	$-0.974652\pi$
$401$	−1.87785	+	7.00823i	−0.0937753	+	0.349974i	0.903056	+	0.429524i	$0.141319\pi$
$402$	−20.5076	−	36.2067i	−1.02283	−	1.80582i
$403$	−7.98463	+	19.0556i	−0.397743	+	0.949228i
$404$	−15.1326	−	8.73681i	−0.752875	−	0.434672i
$405$	1.76230	+	7.56723i	0.0875694	+	0.376019i
$406$	−10.2695	−	41.5904i	−0.509667	−	2.06410i
$407$	1.54997	+	2.68463i	0.0768292	+	0.133072i
$408$	16.7106	−	4.33019i	0.827298	−	0.214376i
$409$	−9.78266	−	9.78266i	−0.483721	−	0.483721i	0.422597	−	0.906318i	$-0.361119\pi$
$409$	−9.78266	−	9.78266i	−0.483721	−	0.483721i	−0.906318	+	0.422597i	$0.861119\pi$
$410$	−3.69117	−	3.69117i	−0.182294	−	0.182294i
$411$	−7.41647	−	7.53983i	−0.365827	−	0.371912i
$412$	−10.8348	−	18.7664i	−0.533790	−	0.924552i
$413$	25.4842	+	7.37007i	1.25400	+	0.362657i
$414$	39.4407	−	38.1605i	1.93840	−	1.87548i
$415$	−2.30194	−	1.32902i	−0.112998	−	0.0652392i
$416$	−34.7232	−	14.5496i	−1.70244	−	0.713352i
$417$	−2.59949	−	0.0214410i	−0.127298	−	0.00104997i
$418$	−0.582503	+	2.17393i	−0.0284912	+	0.106330i
$419$	−9.57810	−	5.52992i	−0.467921	−	0.270154i	0.247448	−	0.968901i	$-0.420408\pi$
$419$	−9.57810	−	5.52992i	−0.467921	−	0.270154i	−0.715369	+	0.698747i	$0.753741\pi$
$420$	13.8776	−	13.1222i	0.677158	−	0.640300i
$421$	−0.543024	+	2.02659i	−0.0264654	+	0.0987701i	−0.977895	−	0.209095i	$-0.932948\pi$
$421$	−0.543024	+	2.02659i	−0.0264654	+	0.0987701i	0.951430	+	0.307866i	$0.0996147\pi$
$422$	−3.53897	−	13.2076i	−0.172275	−	0.642937i
$423$	−2.09753	+	0.525106i	−0.101985	+	0.0255315i
$424$	73.0922	+	19.5850i	3.54967	+	0.951132i
$425$			5.73900i			0.278382i
$426$	47.1833	−	26.7248i	2.28604	−	1.29482i
$427$	−1.66354	+	0.917189i	−0.0805043	+	0.0443859i
$428$	−20.8518	+	36.1165i	−1.00791	+	1.74575i
$429$	−0.918262	+	2.14173i	−0.0443341	+	0.103404i
$430$	8.28700	−	14.3535i	0.399634	−	0.692187i
$431$	7.66083	+	2.05271i	0.369009	+	0.0988757i	0.438558	−	0.898703i	$-0.355489\pi$
$431$	7.66083	+	2.05271i	0.369009	+	0.0988757i	−0.0695490	+	0.997579i	$0.522156\pi$
$432$	50.1356	+	1.24080i	2.41215	+	0.0596982i
$433$		−	34.2932i		−	1.64803i	−0.566570	−	0.824014i	$-0.691730\pi$
$433$		−	34.2932i		−	1.64803i	0.566570	−	0.824014i	$-0.308270\pi$
$434$	−34.6919	+	19.1273i	−1.66526	+	0.918139i
$435$	−6.49762	−	6.60570i	−0.311537	−	0.316719i
$436$	58.5445	+	15.6870i	2.80377	+	0.751269i
$437$	−11.4268	−	11.4268i	−0.546618	−	0.546618i
$438$	−33.6934	−	19.8252i	−1.60993	−	0.947285i
$439$			35.1037i			1.67541i	0.546124	+	0.837704i	$0.316103\pi$
$439$			35.1037i			1.67541i	−0.546124	+	0.837704i	$0.683897\pi$
$440$	1.68307	+	1.68307i	0.0802372	+	0.0802372i
$441$	9.46678	+	18.7451i	0.450799	+	0.892626i
$442$	−1.60714	−	12.6059i	−0.0764440	−	0.599604i
$443$		−	40.4007i		−	1.91949i	−0.280867	−	0.959747i	$-0.590622\pi$
$443$		−	40.4007i		−	1.91949i	0.280867	−	0.959747i	$-0.409378\pi$
$444$	−48.7140	−	49.5243i	−2.31186	−	2.35032i
$445$	9.33630			0.442583
$446$	−12.9770	−	22.4769i	−0.614481	−	1.06431i
$447$	7.39392	+	28.5338i	0.349721	+	1.34960i
$448$	−10.1953	−	18.4916i	−0.481683	−	0.873646i
$449$	23.4059	+	23.4059i	1.10459	+	1.10459i	0.993849	+	0.110744i	$0.0353234\pi$
$449$	23.4059	+	23.4059i	1.10459	+	1.10459i	0.110744	+	0.993849i	$0.464677\pi$
$450$	−9.16252	+	32.0693i	−0.431925	+	1.51176i
$451$	0.431742	+	0.747800i	0.0203300	+	0.0352125i
$452$	−42.7079	+	73.9722i	−2.00881	+	3.47936i
$453$	23.3154	−	22.9339i	1.09545	−	1.07753i
$454$	21.7862	+	12.5783i	1.02248	+	0.590328i
$455$	−4.85639	−	6.65110i	−0.227671	−	0.311808i
$456$	0.243650	−	29.5400i	0.0114100	−	1.38334i
$457$	4.40808	+	4.40808i	0.206201	+	0.206201i	0.802651	−	0.596449i	$-0.203422\pi$
$457$	4.40808	+	4.40808i	0.206201	+	0.206201i	−0.596449	+	0.802651i	$0.703422\pi$
$458$	61.7800	−	35.6687i	2.88679	−	1.66669i
$459$	3.35319	+	6.15471i	0.156513	+	0.287277i
$460$	−28.1840	+	7.55189i	−1.31409	+	0.352109i
$461$	0.416478	+	0.111595i	0.0193973	+	0.00519750i	0.268505	−	0.963278i	$-0.413471\pi$
$461$	0.416478	+	0.111595i	0.0193973	+	0.00519750i	−0.249107	+	0.968476i	$0.580137\pi$
$462$	−3.93047	+	2.12497i	−0.182862	+	0.0988627i
$463$	5.50147	+	20.5318i	0.255675	+	0.954193i	0.967714	+	0.252052i	$0.0811055\pi$
$463$	5.50147	+	20.5318i	0.255675	+	0.954193i	−0.712038	+	0.702140i	$0.752228\pi$
$464$	−51.7946	+	29.9036i	−2.40450	+	1.38824i
$465$	−4.34526	+	7.38488i	−0.201507	+	0.342465i
$466$	0.228232	+	0.851774i	0.0105726	+	0.0394577i
$467$	−16.1985	+	28.0566i	−0.749576	+	1.29830i	0.198450	+	0.980111i	$0.436409\pi$
$467$	−16.1985	+	28.0566i	−0.749576	+	1.29830i	−0.948026	+	0.318193i	$0.896924\pi$
$468$	7.88050	−	51.6219i	0.364276	−	2.38622i
$469$	−23.3678	−	6.75800i	−1.07902	−	0.312055i
$470$	1.57048	+	0.420808i	0.0724407	+	0.0194104i
$471$	0.323447	+	0.571052i	0.0149036	+	0.0263127i
$472$		−	74.0868i		−	3.41012i
$473$	−1.93860	+	1.93860i	−0.0891367	+	0.0891367i
$474$	40.4985	+	11.2103i	1.86016	+	0.514908i
$475$	9.48638	+	2.54187i	0.435265	+	0.116629i
$476$	8.90704	−	14.7479i	0.408254	−	0.675971i
$477$	−0.506792	+	30.7194i	−0.0232044	+	1.40654i
$478$	−8.84626	−	5.10739i	−0.404619	−	0.233607i
$479$	−3.50578	+	0.939371i	−0.160183	+	0.0429210i	−0.338019	−	0.941139i	$-0.609757\pi$
$479$	−3.50578	+	0.939371i	−0.160183	+	0.0429210i	0.177836	+	0.984060i	$0.443090\pi$
$480$	−13.4567	−	7.91794i	−0.614213	−	0.361403i
$481$	−23.8382	+	18.1371i	−1.08693	+	0.826983i
$482$	57.6442	+	33.2809i	2.62562	+	1.51590i
$483$	0.897197	−	32.0695i	0.0408239	−	1.45921i
$484$	26.2164	+	45.4082i	1.19166	+	2.06401i
$485$	−4.78307	+	8.28452i	−0.217188	+	0.376181i
$486$	8.91129	+	39.7458i	0.404224	+	1.80291i
$487$	6.38935	−	23.8454i	0.289529	−	1.08054i	−0.655937	−	0.754816i	$-0.727726\pi$
$487$	6.38935	−	23.8454i	0.289529	−	1.08054i	0.945466	−	0.325722i	$-0.105607\pi$
$488$	3.75130	+	3.75130i	0.169813	+	0.169813i
$489$	11.1198	−	10.9379i	0.502855	−	0.494627i
$490$	0.622664	−	15.7784i	0.0281291	−	0.712794i
$491$	−0.891459	+	1.54405i	−0.0402310	+	0.0696821i	−0.885440	−	0.464754i	$-0.846143\pi$
$491$	−0.891459	+	1.54405i	−0.0402310	+	0.0696821i	0.845209	+	0.534436i	$0.179476\pi$
$492$	−13.5692	−	13.7949i	−0.611748	−	0.621923i
$493$	−7.23859	−	4.17920i	−0.326010	−	0.188222i
$494$	−21.5490	−	2.92676i	−0.969537	−	0.131681i
$495$	−0.496945	+	0.828851i	−0.0223360	+	0.0372541i
$496$	39.1074	+	39.1074i	1.75597	+	1.75597i
$497$	8.80679	−	30.4521i	0.395039	−	1.36596i
$498$	−12.0100	−	7.06666i	−0.538179	−	0.316665i
$499$	10.8596	−	40.5287i	0.486144	−	1.81432i	−0.0887076	−	0.996058i	$-0.528274\pi$
$499$	10.8596	−	40.5287i	0.486144	−	1.81432i	0.574852	−	0.818257i	$-0.305060\pi$
$500$	27.2743	−	27.2743i	1.21975	−	1.21975i
$501$	−22.1306	−	22.4987i	−0.988721	−	1.00517i
$502$	53.5062	−	53.5062i	2.38810	−	2.38810i
$503$			3.73352i			0.166469i	0.996530	+	0.0832346i	$0.0265251\pi$
$503$			3.73352i			0.166469i	−0.996530	+	0.0832346i	$0.973475\pi$
$504$	42.9442	−	39.9410i	1.91289	−	1.77912i
$505$	−2.20947	+	2.20947i	−0.0983200	+	0.0983200i
$506$	6.82602			0.303454
$507$	−21.6507	−	6.18437i	−0.961542	−	0.274657i
$508$	−19.9384			−0.884625
$509$	−33.5793	−	8.99754i	−1.48838	−	0.398809i	−0.579187	−	0.815194i	$-0.696630\pi$
$509$	−33.5793	−	8.99754i	−1.48838	−	0.398809i	−0.909188	+	0.416385i	$0.863297\pi$
$510$	0.0434682	−	5.27004i	0.00192480	−	0.233361i
$511$	−22.1871	+	5.47844i	−0.981499	+	0.242352i
$512$	29.5916	−	29.5916i	1.30778	−	1.30778i
$513$	11.6587	−	2.81672i	0.514744	−	0.124361i
$514$	38.3950	+	10.2879i	1.69353	+	0.453780i
$515$	−3.74294	+	1.00292i	−0.164934	+	0.0441939i
$516$	31.1563	−	52.9508i	1.37158	−	2.33103i
$517$	−0.232913	−	0.134472i	−0.0102435	−	0.00591409i
$518$	−57.4221	−	1.13259i	−2.52298	−	0.0497631i
$519$	−2.83340	−	5.00244i	−0.124373	−	0.219583i
$520$	−14.0756	+	18.1890i	−0.617254	+	0.797640i
$521$	−35.8753	+	20.7126i	−1.57173	+	0.907436i	−0.575768	+	0.817613i	$0.695297\pi$
$521$	−35.8753	+	20.7126i	−1.57173	+	0.907436i	−0.995958	+	0.0898230i	$0.971370\pi$
$522$	−33.7768	−	34.9099i	−1.47837	−	1.52797i
$523$	8.96555	−	15.5288i	0.392036	−	0.679027i	−0.600682	−	0.799488i	$-0.705104\pi$
$523$	8.96555	−	15.5288i	0.392036	−	0.679027i	0.992718	+	0.120461i	$0.0384374\pi$
$524$	25.8492	+	44.7721i	1.12923	+	1.95588i
$525$	9.27274	+	17.1514i	0.404695	+	0.748547i
$526$	35.2440	−	9.44361i	1.53671	−	0.411761i
$527$	−2.00050	+	7.46598i	−0.0871433	+	0.325223i
$528$	4.37429	+	4.44705i	0.190367	+	0.193533i
$529$	−13.0062	+	22.5274i	−0.565486	+	0.979450i
$530$	11.5511	−	20.0070i	0.501746	−	0.869050i
$531$	29.1800	−	7.30507i	1.26630	−	0.317013i
$532$	−20.4328	−	21.2551i	−0.885875	−	0.921524i
$533$	−6.64010	+	5.05208i	−0.287614	+	0.218830i
$534$	48.9436	+	0.403694i	2.11800	+	0.0174696i
$535$	5.27326	+	5.27326i	0.227983	+	0.227983i
$536$			67.9341i			2.93430i
$537$	−7.04208	+	11.9682i	−0.303888	+	0.516465i
$538$	8.54127	−	31.8764i	0.368240	−	1.37429i
$539$	−0.775001	+	2.49439i	−0.0333816	+	0.107441i
$540$	6.12096	−	20.7735i	0.263404	−	0.893949i
$541$	6.79639	+	25.3645i	0.292200	+	1.09050i	0.943416	+	0.331612i	$0.107592\pi$
$541$	6.79639	+	25.3645i	0.292200	+	1.09050i	−0.651216	+	0.758892i	$0.725741\pi$
$542$	−17.0484	−	9.84292i	−0.732293	−	0.422790i
$543$	32.0531	−	18.1550i	1.37553	−	0.779106i
$544$	−13.6045	−	3.64532i	−0.583289	−	0.156292i
$545$	5.41916	−	9.38627i	0.232131	−	0.402064i
$546$	−25.1710	−	35.0770i	−1.07722	−	1.50116i
$547$	−1.38916	−	2.40609i	−0.0593961	−	0.102877i	0.834798	−	0.550556i	$-0.185584\pi$
$547$	−1.38916	−	2.40609i	−0.0593961	−	0.102877i	−0.894195	+	0.447679i	$0.852251\pi$
$548$	7.62962	+	28.4741i	0.325921	+	1.21635i
$549$	−1.10761	+	1.84738i	−0.0472718	+	0.0788443i
$550$	−3.59265	+	2.07422i	−0.153191	+	0.0884450i
$551$	−10.1141	+	10.1141i	−0.430877	+	0.430877i
$552$	−86.7317	+	22.4747i	−3.69155	+	0.956585i
$553$	21.5122	−	11.8607i	0.914790	−	0.504368i
$554$	−26.8218	+	7.18687i	−1.13955	+	0.305341i
$555$	−10.8089	+	6.12219i	−0.458810	+	0.259872i
$556$	6.27504	+	3.62290i	0.266121	+	0.153645i
$557$	−5.06458	+	18.9013i	−0.214593	+	0.800872i	0.771716	+	0.635967i	$0.219399\pi$
$557$	−5.06458	+	18.9013i	−0.214593	+	0.800872i	−0.986309	+	0.164905i	$0.947268\pi$
$558$	−23.0984	+	38.5258i	−0.977835	+	1.63093i
$559$	−20.9505	−	16.2125i	−0.886111	−	0.685717i
$560$	−21.4022	+	5.28463i	−0.904407	+	0.223316i
$561$	−0.232569	+	0.840180i	−0.00981909	+	0.0354724i
$562$	17.5137	+	30.3346i	0.738771	+	1.27959i
$563$	31.3794			1.32249			0.661243	−	0.750172i	$-0.270029\pi$
$563$	31.3794			1.32249			0.661243	+	0.750172i	$0.270029\pi$
$564$	5.80842	+	1.60782i	0.244579	+	0.0677016i
$565$	10.8005	+	10.8005i	0.454380	+	0.454380i
$566$	−42.3731	−	42.3731i	−1.78107	−	1.78107i
$567$	19.9656	+	12.9759i	0.838478	+	0.544935i
$568$	−88.5293			−3.71461
$569$	25.7916			1.08124			0.540620	−	0.841267i	$-0.318190\pi$
$569$	25.7916			1.08124			0.540620	+	0.841267i	$0.318190\pi$
$570$	−8.69195	−	2.40601i	−0.364066	−	0.100777i
$571$		−	9.45861i		−	0.395831i	−0.980219	−	0.197915i	$-0.936583\pi$
$571$		−	9.45861i		−	0.395831i	0.980219	−	0.197915i	$-0.0634171\pi$
$572$	5.16912	−	3.93290i	0.216132	−	0.164443i
$573$	−4.04213	+	2.28948i	−0.168862	+	0.0956444i
$574$	−15.9949	−	0.315481i	−0.667613	−	0.0131679i
$575$		−	29.7867i		−	1.24219i
$576$	−20.5352	−	12.3120i	−0.855632	−	0.513001i
$577$	−9.22740	+	34.4371i	−0.384142	+	1.43364i	0.455373	+	0.890301i	$0.349506\pi$
$577$	−9.22740	+	34.4371i	−0.384142	+	1.43364i	−0.839515	+	0.543336i	$0.817161\pi$
$578$	10.2665	+	38.3151i	0.427031	+	1.59370i
$579$	−17.4101	−	4.81927i	−0.723539	−	0.200282i
$580$	6.68436	+	24.9464i	0.277553	+	1.03584i
$581$	−7.90856	+	1.95278i	−0.328102	+	0.0810151i
$582$	−25.4325	+	43.2230i	−1.05421	+	1.79165i
$583$	−2.70217	+	2.70217i	−0.111912	+	0.111912i
$584$	31.9117	+	55.2727i	1.32051	+	2.28720i
$585$	−8.55184	−	3.75037i	−0.353575	−	0.155059i
$586$	−8.05746	+	13.9559i	−0.332851	+	0.576514i
$587$	−20.8370	−	5.58326i	−0.860035	−	0.230446i	−0.198261	−	0.980149i	$-0.563529\pi$
$587$	−20.8370	−	5.58326i	−0.860035	−	0.230446i	−0.661774	+	0.749704i	$0.730196\pi$
$588$	2.79043	−	58.4666i	0.115075	−	2.41112i
$589$	11.4550	+	6.61353i	0.471994	+	0.272506i
$590$	−21.8479	−	5.85412i	−0.899463	−	0.241010i
$591$	23.7217	+	6.56638i	0.975780	+	0.270105i
$592$	20.7525	+	77.4493i	0.852921	+	3.18315i
$593$	19.7146	−	5.28252i	0.809582	−	0.216927i	0.169795	−	0.985479i	$-0.445689\pi$
$593$	19.7146	−	5.28252i	0.809582	−	0.216927i	0.639787	+	0.768552i	$0.279023\pi$
$594$	−2.64097	+	4.32359i	−0.108360	+	0.177399i
$595$	−2.13515	−	2.22107i	−0.0875325	−	0.0910550i
$596$	21.2643	−	79.3595i	0.871020	−	3.25069i
$597$	32.9046	+	19.3611i	1.34670	+	0.792397i
$598$	8.34143	+	65.4277i	0.341106	+	2.67554i
$599$			21.3744i			0.873334i	0.899623	+	0.436667i	$0.143841\pi$
$599$			21.3744i			0.873334i	−0.899623	+	0.436667i	$0.856159\pi$
$600$	38.8191	−	38.1839i	1.58478	−	1.55885i
$601$	5.44082	+	9.42377i	0.221936	+	0.384404i	0.955396	−	0.295329i	$-0.0954292\pi$
$601$	5.44082	+	9.42377i	0.221936	+	0.384404i	−0.733460	+	0.679732i	$0.762096\pi$
$602$	−12.1764	−	49.3130i	−0.496272	−	2.00985i
$603$	−26.7567	+	6.69840i	−1.08962	+	0.272780i
$604$	−88.0505	+	23.5931i	−3.58273	+	0.959988i
$605$	9.05665	−	2.42672i	0.368205	−	0.0986603i
$606$	−11.6782	+	11.4871i	−0.474395	+	0.466633i
$607$	6.26317	+	10.8481i	0.254214	+	0.440312i	0.964682	−	0.263418i	$-0.0848499\pi$
$607$	6.26317	+	10.8481i	0.254214	+	0.440312i	−0.710468	+	0.703730i	$0.751517\pi$
$608$	−12.0512	+	20.8733i	−0.488740	+	0.846523i
$609$	−28.3855	−	0.794131i	−1.15024	−	0.0321798i
$610$	1.40266	−	0.809826i	0.0567920	−	0.0327889i
$611$	1.00430	−	2.39680i	0.0406297	−	0.0969643i
$612$	0.322247	−	19.5331i	0.0130261	−	0.789581i
$613$	−11.5745	+	43.1965i	−0.467488	+	1.74469i	0.181018	+	0.983480i	$0.442061\pi$
$613$	−11.5745	+	43.1965i	−0.467488	+	1.74469i	−0.648506	+	0.761209i	$0.724606\pi$
$614$			75.9734i			3.06604i
$615$	−3.01079	+	1.70533i	−0.121407	+	0.0687654i
$616$	7.29320	+	0.143850i	0.293852	+	0.00579590i
$617$	−0.817118	−	3.04953i	−0.0328959	−	0.122769i	0.947525	−	0.319681i	$-0.103576\pi$
$617$	−0.817118	−	3.04953i	−0.0328959	−	0.122769i	−0.980421	+	0.196911i	$0.936909\pi$
$618$	−19.6649	+	5.09574i	−0.791040	+	0.204981i
$619$	1.92722	+	7.19248i	0.0774615	+	0.289090i	0.993780	−	0.111360i	$-0.0355205\pi$
$619$	1.92722	+	7.19248i	0.0774615	+	0.289090i	−0.916319	+	0.400450i	$0.868854\pi$
$620$	20.6830	−	11.9413i	0.830650	−	0.479576i
$621$	−17.4038	−	31.9443i	−0.698391	−	1.28188i
$622$	−41.8582	+	41.8582i	−1.67836	+	1.67836i
$623$	20.6274	−	19.8294i	0.826418	−	0.794448i
$624$	−37.2797	+	47.3621i	−1.49238	+	1.89600i
$625$	7.18804	+	12.4500i	0.287522	+	0.498002i
$626$	53.5561	−	53.5561i	2.14053	−	2.14053i
$627$	1.28578	+	0.756555i	0.0513492	+	0.0302139i
$628$		−	1.82928i		−	0.0729961i
$629$	−7.92370	+	7.92370i	−0.315939	+	0.315939i
$630$	−8.38511	−	15.8201i	−0.334071	−	0.630288i
$631$	26.6733	−	26.6733i	1.06185	−	1.06185i	0.0638888	−	0.997957i	$-0.479650\pi$
$631$	26.6733	−	26.6733i	1.06185	−	1.06185i	0.997957	−	0.0638888i	$-0.0203503\pi$
$632$	−48.5102	−	48.5102i	−1.92963	−	1.92963i
$633$	−9.06335	−	0.0747560i	−0.360236	−	0.00297128i
$634$		−	22.5414i		−	0.895235i
$635$	−0.922800	+	3.44393i	−0.0366202	+	0.136668i
$636$	43.4280	−	73.8070i	1.72203	−	2.92664i
$637$	−24.8559	−	4.38026i	−0.984825	−	0.173552i
$638$		−	6.04188i		−	0.239200i
$639$	−8.72913	−	34.8684i	−0.345319	−	1.37937i
$640$	−0.0124970	−	0.0216455i	−0.000493988	−	0.000855613i
$641$	−12.2881	+	21.2836i	−0.485351	+	0.840652i	−0.999858	−	0.0168338i	$-0.994641\pi$
$641$	−12.2881	+	21.2836i	−0.485351	+	0.840652i	0.514508	+	0.857486i	$0.327975\pi$
$642$	27.4159	+	27.8720i	1.08202	+	1.10002i
$643$	−8.74324	+	2.34274i	−0.344800	+	0.0923888i	−0.427063	−	0.904222i	$-0.640452\pi$
$643$	−8.74324	+	2.34274i	−0.344800	+	0.0923888i	0.0822634	+	0.996611i	$0.473785\pi$
$644$	−46.2295	+	76.5451i	−1.82170	+	3.01630i
$645$	−7.70411	−	7.83226i	−0.303349	−	0.308395i
$646$	−8.13565			−0.320093
$647$	9.68039	+	16.7669i	0.380575	+	0.659176i	0.991145	−	0.132787i	$-0.0423926\pi$
$647$	9.68039	+	16.7669i	0.380575	+	0.659176i	−0.610569	+	0.791963i	$0.709059\pi$
$648$	19.3208	−	63.6311i	0.758994	−	2.49966i
$649$	3.24020	+	1.87073i	0.127189	+	0.0734325i
$650$	−24.2717	−	31.9010i	−0.952015	−	1.25126i
$651$	6.08445	+	25.5449i	0.238469	+	1.00118i
$652$	−41.9938	+	11.2522i	−1.64461	+	0.440671i
$653$	−1.77754	+	1.02627i	−0.0695607	+	0.0401609i	−0.534377	−	0.845246i	$-0.679454\pi$
$653$	−1.77754	+	1.02627i	−0.0695607	+	0.0401609i	0.464816	+	0.885407i	$0.346120\pi$
$654$	28.8147	−	48.9712i	1.12674	−	1.91493i
$655$	8.92979	−	2.39273i	0.348916	−	0.0934916i
$656$	5.78058	+	21.5734i	0.225694	+	0.842300i
$657$	−18.6233	+	18.0188i	−0.726564	+	0.702980i
$658$	4.36352	−	2.40582i	0.170108	−	0.0937886i
$659$	−29.9986	+	17.3197i	−1.16858	+	0.674679i	−0.953345	−	0.301883i	$-0.902385\pi$
$659$	−29.9986	+	17.3197i	−1.16858	+	0.674679i	−0.215234	+	0.976563i	$0.569051\pi$
$660$	2.34381	−	1.32755i	0.0912329	−	0.0516747i
$661$	−19.2556	+	19.2556i	−0.748955	+	0.748955i	−0.974283	−	0.225328i	$-0.927655\pi$
$661$	−19.2556	+	19.2556i	−0.748955	+	0.748955i	0.225328	+	0.974283i	$0.427655\pi$
$662$	64.9680			2.52505
$663$	−8.33735	−	1.20248i	−0.323796	−	0.0467006i
$664$	11.3749	+	19.7019i	0.441431	+	0.764580i
$665$	−4.61704	+	2.54559i	−0.179041	+	0.0987138i
$666$	−56.9278	+	31.6269i	−2.20591	+	1.22552i
$667$	37.5699	+	21.6910i	1.45471	+	0.839879i
$668$	22.7666	+	84.9661i	0.880866	+	3.28744i
$669$	−16.6539	+	4.31549i	−0.643877	+	0.166847i
$670$	20.0335	+	5.36795i	0.773960	+	0.207382i
$671$	−0.258786	+	0.0693415i	−0.00999032	+	0.00267690i
$672$	−46.5479	+	11.0871i	−1.79562	+	0.427694i
$673$	−24.4073	+	14.0916i	−0.940832	+	0.543189i	−0.890221	−	0.455529i	$-0.849450\pi$
$673$	−24.4073	+	14.0916i	−0.940832	+	0.543189i	−0.0506108	+	0.998718i	$0.516117\pi$
$674$	−27.7973	+	7.44827i	−1.07071	+	0.286897i
$675$	18.8668	+	11.5244i	0.726185	+	0.443573i
$676$	44.0136	+	44.7402i	1.69283	+	1.72078i
$677$		−	0.751004i		−	0.0288634i	−0.999896	−	0.0144317i	$-0.995406\pi$
$677$		−	0.751004i		−	0.0288634i	0.999896	−	0.0144317i	$-0.00459392\pi$
$678$	56.1522	+	57.0862i	2.15651	+	2.19238i
$679$	7.02794	+	28.4624i	0.269707	+	1.09229i
$680$	−4.30206	+	7.45139i	−0.164977	+	0.285748i
$681$	11.8881	−	11.6936i	0.455552	−	0.448098i
$682$	−5.39679	+	1.44607i	−0.206654	+	0.0553727i
$683$	10.5387	−	39.3309i	0.403251	−	1.50495i	−0.404007	−	0.914756i	$-0.632383\pi$
$683$	10.5387	−	39.3309i	0.403251	−	1.50495i	0.807258	−	0.590199i	$-0.200951\pi$
$684$	−32.1449	−	9.18411i	−1.22909	−	0.351163i
$685$	5.27141			0.201410
$686$	−32.1360	−	36.1827i	−1.22696	−	1.38146i
$687$	−11.8616	−	45.7749i	−0.452547	−	1.74642i
$688$	−61.4120	+	35.4562i	−2.34131	+	1.35176i
$689$	−29.2024	−	22.5983i	−1.11252	−	0.860927i
$690$	−0.225610	+	27.3527i	−0.00858881	+	1.04130i
$691$	−15.3818	−	15.3818i	−0.585152	−	0.585152i	0.351162	−	0.936315i	$-0.385787\pi$
$691$	−15.3818	−	15.3818i	−0.585152	−	0.585152i	−0.936315	+	0.351162i	$0.885787\pi$
$692$			16.0245i			0.609161i
$693$	0.662464	+	2.88670i	0.0251649	+	0.109657i
$694$	−57.8541	−	57.8541i	−2.19611	−	2.19611i
$695$	0.916202	−	0.916202i	0.0347535	−	0.0347535i
$696$	19.8929	+	76.7684i	0.754037	+	2.90990i
$697$	−2.20714	+	2.20714i	−0.0836013	+	0.0836013i
$698$	17.3631	−	10.0246i	0.657204	−	0.379437i
$699$	0.584505	+	0.00482109i	0.0221080	+	0.000182350i
$700$	1.07169	−	54.3347i	0.0405062	−	2.05366i
$701$	−1.89664			−0.0716350			−0.0358175	−	0.999358i	$-0.511403\pi$
$701$	−1.89664			−0.0716350			−0.0358175	+	0.999358i	$0.511403\pi$
$702$	−44.6690	−	20.0303i	−1.68592	−	0.755995i
$703$	9.58812	+	16.6071i	0.361623	+	0.626349i
$704$	−0.770788	−	2.87662i	−0.0290502	−	0.108417i
$705$	0.546545	−	0.928866i	0.0205841	−	0.0349831i
$706$	16.2681	+	9.39240i	0.612258	+	0.353487i
$707$	−0.188841	+	9.57423i	−0.00710211	+	0.360076i
$708$	−80.8046	−	22.3674i	−3.03682	−	0.840620i
$709$	17.5735	−	17.5735i	0.659988	−	0.659988i	−0.295389	−	0.955377i	$-0.595449\pi$
$709$	17.5735	−	17.5735i	0.659988	−	0.659988i	0.955377	+	0.295389i	$0.0954494\pi$
$710$	−6.99533	+	26.1069i	−0.262530	+	0.979775i
$711$	14.3232	−	23.8895i	0.537161	−	0.895928i
$712$	−69.2021	−	39.9538i	−2.59346	−	1.49733i
$713$	10.3831	−	38.7501i	0.388849	−	1.45120i
$714$	−11.0970	−	11.7358i	−0.415296	−	0.439202i
$715$	−0.440084	−	1.07488i	−0.0164582	−	0.0401982i
$716$	33.5196	−	19.3525i	1.25269	−	0.723239i
$717$	−4.82713	+	4.74815i	−0.180273	+	0.177323i
$718$	4.25750	−	7.37420i	0.158888	−	0.275203i
$719$	15.9590	−	27.6417i	0.595168	−	1.03086i	−0.398355	−	0.917231i	$-0.630419\pi$
$719$	15.9590	−	27.6417i	0.595168	−	1.03086i	0.993523	−	0.113630i	$-0.0362480\pi$
$720$	−17.9644	+	17.3813i	−0.669495	+	0.647764i
$721$	−6.13945	+	10.1655i	−0.228645	+	0.378582i
$722$	9.24619	−	34.5072i	0.344108	−	1.28423i
$723$	31.4547	−	30.9400i	1.16981	−	1.15067i
$724$	−102.677			−3.81596
$725$	−26.3649			−0.979169
$726$	47.5825	−	12.3300i	1.76595	−	0.457608i
$727$	27.0064	−	15.5921i	1.00161	−	0.578281i	0.0928866	−	0.995677i	$-0.470391\pi$
$727$	27.0064	−	15.5921i	1.00161	−	0.578281i	0.908725	+	0.417396i	$0.137057\pi$
$728$	7.53351	+	70.0814i	0.279211	+	2.59739i
$729$	26.9669	+	1.33563i	0.998776	+	0.0494677i
$730$	18.8212	−	5.04314i	0.696605	−	0.186655i
$731$	−8.58268	−	4.95521i	−0.317442	−	0.183275i
$732$	5.22400	−	2.95890i	0.193085	−	0.109364i
$733$	3.75760	−	14.0236i	0.138790	−	0.517972i	−0.861163	−	0.508328i	$-0.830264\pi$
$733$	3.75760	−	14.0236i	0.138790	−	0.517972i	0.999954	−	0.00964344i	$-0.00306965\pi$
$734$	−6.43295	−	24.0081i	−0.237445	−	0.886155i
$735$	−9.96970	−	3.18796i	−0.367738	−	0.117590i
$736$	70.6105	+	18.9200i	2.60274	+	0.697401i
$737$	−2.97111	−	1.71537i	−0.109442	−	0.0631864i
$738$	−15.8572	+	8.80963i	−0.583711	+	0.324287i
$739$	12.4736	+	3.34230i	0.458850	+	0.122948i	0.480837	−	0.876810i	$-0.340333\pi$
$739$	12.4736	+	3.34230i	0.458850	+	0.122948i	−0.0219876	+	0.999758i	$0.506999\pi$
$740$	34.6245			1.27282
$741$	−5.68037	+	13.2488i	−0.208674	+	0.486706i
$742$	−16.9724	−	68.7363i	−0.623076	−	2.52339i
$743$	9.50740	+	35.4821i	0.348793	+	1.30171i	0.888118	+	0.459615i	$0.152013\pi$
$743$	9.50740	+	35.4821i	0.348793	+	1.30171i	−0.539326	+	0.842097i	$0.681321\pi$
$744$	63.8106	−	36.1427i	2.33941	−	1.32505i
$745$	−12.7235	−	7.34590i	−0.466152	−	0.269133i
$746$	−17.5303	−	4.69722i	−0.641829	−	0.171978i
$747$	−6.63824	+	6.42277i	−0.242881	+	0.234997i
$748$	1.71819	−	1.71819i	0.0628233	−	0.0628233i
$749$	22.8505	+	0.450701i	0.834939	+	0.0164683i
$750$	−17.8210	−	31.4633i	−0.650729	−	1.14888i
$751$	31.1434	−	17.9806i	1.13644	−	0.656122i	0.190891	−	0.981611i	$-0.438862\pi$
$751$	31.1434	−	17.9806i	1.13644	−	0.656122i	0.945546	+	0.325489i	$0.105529\pi$
$752$	−4.91890	−	4.91890i	−0.179374	−	0.179374i
$753$	−24.7200	−	43.6436i	−0.900845	−	1.59046i
$754$	57.9116	−	7.38320i	2.10902	−	0.268880i
$755$			16.3008i			0.593246i
$756$	−30.5974	−	58.8967i	−1.11282	−	2.14205i
$757$	−12.9102			−0.469228			−0.234614	−	0.972089i	$-0.575383\pi$
$757$	−12.9102			−0.469228			−0.234614	+	0.972089i	$0.575383\pi$
$758$	7.42688			0.269756
$759$	1.20709	−	4.36072i	0.0438145	−	0.158284i
$760$	10.4115	+	10.4115i	0.377664	+	0.377664i
$761$	12.7463	−	47.5699i	0.462053	−	1.72441i	−0.204425	−	0.978882i	$-0.565532\pi$
$761$	12.7463	−	47.5699i	0.462053	−	1.72441i	0.666478	−	0.745524i	$-0.267801\pi$
$762$	−4.98649	+	18.0142i	−0.180642	+	0.652585i
$763$	−7.96257	−	32.2475i	−0.288264	−	1.16744i
$764$	12.9483			0.468454
$765$	−3.35901	−	0.959703i	−0.121445	−	0.0346981i
$766$	−37.8829	+	21.8717i	−1.36877	+	0.790257i
$767$	−13.9715	+	33.3434i	−0.504480	+	1.20396i
$768$	−13.6903	−	24.1705i	−0.494005	−	0.872177i
$769$	24.6003	−	6.59163i	0.887109	−	0.237700i	0.213637	−	0.976913i	$-0.431469\pi$
$769$	24.6003	−	6.59163i	0.887109	−	0.237700i	0.673472	+	0.739213i	$0.264802\pi$
$770$	0.618708	−	2.13937i	0.0222967	−	0.0770975i
$771$	13.3619	−	22.7089i	0.481218	−	0.817841i
$772$	35.6041	+	35.6041i	1.28142	+	1.28142i
$773$	23.2482	+	6.22933i	0.836179	+	0.224053i	0.651407	−	0.758728i	$-0.274179\pi$
$773$	23.2482	+	6.22933i	0.836179	+	0.224053i	0.184771	+	0.982782i	$0.440846\pi$
$774$	−40.0485	−	41.3921i	−1.43951	−	1.48781i
$775$	6.31019	+	23.5499i	0.226669	+	0.845939i
$776$	70.9057	−	40.9374i	2.54537	−	1.46957i
$777$	−10.8778	+	36.4831i	−0.390241	+	1.30883i
$778$	−7.79320	−	29.0846i	−0.279400	−	1.04273i
$779$	2.67076	+	4.62589i	0.0956899	+	0.165740i
$780$	15.5887	+	20.8433i	0.558167	+	0.746309i
$781$	2.23541	−	3.87184i	0.0799892	−	0.138545i
$782$	6.38637	+	23.8343i	0.228376	+	0.852311i
$783$	−28.2747	+	15.4045i	−1.01046	+	0.550513i
$784$	−36.0613	+	57.1319i	−1.28790	+	2.04042i
$785$	−0.315968	−	0.0846633i	−0.0112774	−	0.00302176i
$786$	46.9160	−	12.1573i	1.67344	−	0.433635i
$787$	1.09832	−	1.09832i	0.0391510	−	0.0391510i	−0.687260	−	0.726411i	$-0.741187\pi$
$787$	1.09832	−	1.09832i	0.0391510	−	0.0391510i	0.726411	+	0.687260i	$0.241187\pi$
$788$	−48.5115	−	48.5115i	−1.72815	−	1.72815i
$789$	0.199483	−	24.1852i	0.00710179	−	0.861015i
$790$	−18.1386	+	10.4723i	−0.645342	+	0.372589i
$791$	46.8015	+	0.923107i	1.66407	+	0.0328219i
$792$	7.23042	−	4.01694i	0.256922	−	0.142736i
$793$	−0.980878	−	2.39574i	−0.0348320	−	0.0850751i
$794$	−6.79436	−	3.92273i	−0.241123	−	0.139212i
$795$	−10.7386	−	10.9172i	−0.380859	−	0.387194i
$796$	−53.2067	−	92.1568i	−1.88586	−	3.26641i
$797$	9.98352	−	17.2920i	0.353634	−	0.612513i	−0.633249	−	0.773948i	$-0.718279\pi$
$797$	9.98352	−	17.2920i	0.353634	−	0.612513i	0.986883	+	0.161435i	$0.0516124\pi$
$798$	−24.3139	+	13.1451i	−0.860703	+	0.465331i
$799$	0.251622	−	0.939067i	0.00890176	−	0.0332218i
$800$	−42.9127	+	11.4984i	−1.51719	+	0.406531i
$801$	8.91288	−	31.1956i	0.314921	−	1.10224i
$802$	−9.47922	−	16.4185i	−0.334723	−	0.579757i
$803$	−3.22314			−0.113742
$804$	74.0940	+	20.5099i	2.61309	+	0.723328i
$805$	11.0819	+	11.5278i	0.390585	+	0.406303i
$806$	−20.4555	−	49.9613i	−0.720514	−	1.75981i
$807$	−18.8535	−	11.0934i	−0.663674	−	0.390506i
$808$	25.8321	−	6.92170i	0.908771	−	0.243504i
$809$	6.24530	−	3.60573i	0.219573	−	0.126771i	−0.386180	−	0.922424i	$-0.626205\pi$
$809$	6.24530	−	3.60573i	0.219573	−	0.126771i	0.605753	+	0.795653i	$0.292872\pi$
$810$	−17.2379	−	10.7256i	−0.605676	−	0.376858i
$811$	−6.40799	−	6.40799i	−0.225015	−	0.225015i	0.585591	−	0.810606i	$-0.300862\pi$
$811$	−6.40799	−	6.40799i	−0.225015	−	0.225015i	−0.810606	+	0.585591i	$0.800862\pi$
$812$	67.7519	+	40.9189i	2.37763	+	1.43597i
$813$	−9.30281	+	9.15060i	−0.326264	+	0.320926i
$814$	−7.82412	−	2.09647i	−0.274235	−	0.0734811i
$815$			7.77431i			0.272322i
$816$	−11.4351	+	19.4342i	−0.400309	+	0.680334i
$817$	−11.9922	+	11.9922i	−0.419553	+	0.419553i
$818$	36.1502			1.26396
$819$	−26.8596	+	9.87730i	−0.938551	+	0.345141i
$820$	9.64461			0.336804
$821$	3.85252	−	3.85252i	0.134454	−	0.134454i	−0.636677	−	0.771131i	$-0.719691\pi$
$821$	3.85252	−	3.85252i	0.134454	−	0.134454i	0.771131	+	0.636677i	$0.219691\pi$
$822$	27.6342	+	0.227932i	0.963854	+	0.00795003i
$823$		−	18.7909i		−	0.655011i	−0.944849	−	0.327506i	$-0.893792\pi$
$823$		−	18.7909i		−	0.655011i	0.944849	−	0.327506i	$-0.106208\pi$
$824$	32.0351	+	8.58379i	1.11600	+	0.299031i
$825$	0.689779	+	2.66192i	0.0240150	+	0.0926761i
$826$	−60.7037	+	33.4688i	−2.11215	+	1.16453i
$827$	25.3536	+	25.3536i	0.881633	+	0.881633i	0.993701	−	0.112068i	$-0.0357474\pi$
$827$	25.3536	+	25.3536i	0.881633	+	0.881633i	−0.112068	+	0.993701i	$0.535747\pi$
$828$	−1.67253	+	101.381i	−0.0581246	+	3.52325i
$829$	36.1811	−	20.8892i	1.25662	−	0.725511i	0.284206	−	0.958763i	$-0.408270\pi$
$829$	36.1811	−	20.8892i	1.25662	−	0.725511i	0.972416	+	0.233252i	$0.0749367\pi$
$830$	6.70880	−	1.79762i	0.232866	−	0.0623962i
$831$	−0.151813	+	18.4056i	−0.00526633	+	0.638485i
$832$	26.6306	−	10.9033i	0.923250	−	0.378003i
$833$	−9.43467	−	0.372322i	−0.326892	−	0.0129002i
$834$	4.84261	−	4.76338i	0.167686	−	0.164942i
$835$	15.7298			0.544351
$836$	−2.07911	−	3.60112i	−0.0719075	−	0.124547i
$837$	20.5271	+	21.5689i	0.709519	+	0.745530i
$838$	27.9146	−	7.47968i	0.964292	−	0.258381i
$839$	14.7771	−	55.1488i	0.510161	−	1.90395i	0.0914998	−	0.995805i	$-0.470834\pi$
$839$	14.7771	−	55.1488i	0.510161	−	1.90395i	0.418661	−	0.908142i	$-0.362499\pi$
$840$	−0.817476	+	29.2200i	−0.0282056	+	1.00819i
$841$	4.69923	−	8.13931i	0.162043	−	0.280666i
$842$	−2.74114	−	4.74779i	−0.0944659	−	0.163620i
$843$	22.4759	−	5.82415i	0.774113	−	0.200595i
$844$	21.8785	+	12.6315i	0.753088	+	0.434795i
$845$	9.76496	−	5.53172i	0.335925	−	0.190297i
$846$	2.90531	−	4.84575i	0.0998866	−	0.166600i
$847$	14.8554	−	24.5970i	0.510437	−	0.845162i
$848$	−85.6009	+	49.4217i	−2.93955	+	1.69715i
$849$	−34.5626	+	19.5764i	−1.18619	+	0.671861i
$850$	−10.6038	−	10.6038i	−0.363706	−	0.363706i
$851$	41.1258	−	41.1258i	1.40977	−	1.40977i
$852$	−26.7278	+	96.5567i	−0.915678	+	3.30798i
$853$	−30.7251	−	8.23276i	−1.05201	−	0.281884i	−0.308926	−	0.951086i	$-0.599969\pi$
$853$	−30.7251	−	8.23276i	−1.05201	−	0.281884i	−0.743081	+	0.669202i	$0.766636\pi$
$854$	1.37901	−	4.76832i	0.0471886	−	0.163169i
$855$	−3.07410	+	5.12728i	−0.105132	+	0.175349i
$856$	−16.5198	−	61.6527i	−0.564634	−	2.10724i
$857$	−15.1236	+	26.1948i	−0.516612	+	0.894799i	0.483201	+	0.875509i	$0.339474\pi$
$857$	−15.1236	+	26.1948i	−0.516612	+	0.894799i	−0.999814	+	0.0192898i	$0.993859\pi$
$858$	−2.26057	−	5.65385i	−0.0771745	−	0.193019i
$859$	−11.0904	−	19.2092i	−0.378400	−	0.655408i	0.612430	−	0.790525i	$-0.290192\pi$
$859$	−11.0904	−	19.2092i	−0.378400	−	0.655408i	−0.990830	+	0.135117i	$0.956859\pi$
$860$	7.92553	+	29.5785i	0.270258	+	1.00862i
$861$	−3.03001	+	10.1623i	−0.103262	+	0.346331i
$862$	−17.9474	+	10.3619i	−0.611290	+	0.352928i
$863$	7.82826	+	29.2155i	0.266477	+	0.994506i	0.961340	+	0.275364i	$0.0887983\pi$
$863$	7.82826	+	29.2155i	0.266477	+	0.994506i	−0.694863	+	0.719142i	$0.744535\pi$
$864$	−39.3029	+	37.4044i	−1.33711	+	1.27252i
$865$	2.76789	+	0.741654i	0.0941111	+	0.0252170i
$866$	63.3624	+	63.3624i	2.15314	+	2.15314i
$867$	26.2926	+	0.216866i	0.892945	+	0.00736515i
$868$	20.3342	−	70.3116i	0.690188	−	2.38653i
$869$	3.34651	−	0.896694i	0.113523	−	0.0304183i
$870$	24.2105	+	0.199692i	0.820814	+	0.00677021i
$871$	12.8112	−	30.5743i	0.434090	−	1.03597i
$872$	−80.3353	+	46.3816i	−2.72050	+	1.57068i
$873$	23.1151	+	23.8906i	0.782328	+	0.808574i
$874$	42.2258			1.42831
$875$	−20.3064	−	5.87264i	−0.686482	−	0.198532i
$876$	69.9189	−	18.1180i	2.36234	−	0.612149i
$877$	−0.833179	+	3.10947i	−0.0281345	+	0.104999i	−0.978565	−	0.205937i	$-0.933976\pi$
$877$	−0.833179	+	3.10947i	−0.0281345	+	0.104999i	0.950431	+	0.310936i	$0.100643\pi$
$878$	−64.8599	−	64.8599i	−2.18892	−	2.18892i
$879$	7.49072	+	7.61532i	0.252656	+	0.256858i
$880$	−3.10912			−0.104808
$881$	−40.1970			−1.35427			−0.677135	−	0.735858i	$-0.736779\pi$
$881$	−40.1970			−1.35427			−0.677135	+	0.735858i	$0.736779\pi$
$882$	−52.1262	−	17.1433i	−1.75518	−	0.577245i
$883$			53.0517i			1.78533i	0.450719	+	0.892666i	$0.351168\pi$
$883$			53.0517i			1.78533i	−0.450719	+	0.892666i	$0.648832\pi$
$884$	18.5686	+	14.3693i	0.624529	+	0.483292i
$885$	−7.60333	+	12.9220i	−0.255583	+	0.434369i
$886$	74.6469	+	74.6469i	2.50781	+	2.50781i
$887$	30.1750	−	17.4215i	1.01318	−	0.584958i	0.101057	−	0.994881i	$-0.467777\pi$
$887$	30.1750	−	17.4215i	1.01318	−	0.584958i	0.912120	+	0.409922i	$0.134444\pi$
$888$	106.316	+	0.876913i	3.56774	+	0.0294273i
$889$	5.27578	+	9.56887i	0.176944	+	0.320930i
$890$	−17.2504	+	17.2504i	−0.578233	+	0.578233i
$891$	2.29505	+	2.45171i	0.0768872	+	0.0821355i
$892$	46.3185	+	12.4110i	1.55086	+	0.415551i
$893$	−1.44080	−	0.831846i	−0.0482145	−	0.0278367i
$894$	−66.3825	−	39.0595i	−2.22016	−	1.30634i
$895$	−1.79137	−	6.68547i	−0.0598788	−	0.223471i
$896$	−0.0735835	−	0.0212805i	−0.00245825	−	0.000710930i
$897$	43.2727	+	6.24116i	1.44483	+	0.208386i
$898$	−86.4926			−2.88629
$899$	−34.2987	−	9.19030i	−1.14392	−	0.306514i
$900$	−29.9264	−	53.8670i	−0.997547	−	1.79557i
$901$	−11.9632	−	6.90696i	−0.398552	−	0.230104i
$902$	−2.17940	−	0.583968i	−0.0725660	−	0.0194440i
$903$	−33.6562	−	0.941587i	−1.12001	−	0.0313341i
$904$	−33.8351	−	126.274i	−1.12534	−	4.19983i
$905$	−4.75214	+	17.7352i	−0.157967	+	0.589539i
$906$	−0.704833	+	85.4533i	−0.0234165	+	2.83900i
$907$	−48.2909	−	27.8808i	−1.60347	−	0.925765i	−0.990786	−	0.135440i	$-0.956755\pi$
$907$	−48.2909	−	27.8808i	−1.60347	−	0.925765i	−0.612687	−	0.790325i	$-0.709911\pi$
$908$	−44.8952	+	12.0296i	−1.48990	+	0.399218i
$909$	5.27328	+	9.49181i	0.174904	+	0.314824i
$910$	21.2620	+	3.31603i	0.704828	+	0.109925i
$911$	−27.7741	+	16.0354i	−0.920196	+	0.531275i	−0.883697	−	0.468059i	$-0.844954\pi$
$911$	−27.7741	+	16.0354i	−0.920196	+	0.531275i	−0.0364981	+	0.999334i	$0.511620\pi$
$912$	27.0594	+	27.5095i	0.896026	+	0.910930i
$913$	−1.14888			−0.0380225
$914$	−16.2893			−0.538802
$915$	−0.269306	−	1.03928i	−0.00890300	−	0.0343575i
$916$	−34.1129	+	127.311i	−1.12712	+	4.20647i
$917$	14.6473	−	24.2524i	0.483696	−	0.800886i
$918$	−17.5674	−	5.17628i	−0.579811	−	0.170843i
$919$	−7.35852	+	12.7453i	−0.242735	+	0.420429i	−0.961492	−	0.274832i	$-0.911378\pi$
$919$	−7.35852	+	12.7453i	−0.242735	+	0.420429i	0.718757	+	0.695261i	$0.244711\pi$
$920$	22.3287	−	38.6744i	0.736155	−	1.27506i
$921$	48.5347	+	13.4348i	1.59927	+	0.442693i
$922$	−0.975703	+	0.563322i	−0.0321331	+	0.0185520i
$923$	39.8434	+	16.6951i	1.31146	+	0.549525i
$924$	2.35878	−	7.91108i	0.0775980	−	0.260255i
$925$	−9.14834	+	34.1421i	−0.300796	+	1.12258i
$926$	−48.1007	−	27.7710i	−1.58069	−	0.912611i
$927$	−0.222119	+	13.4638i	−0.00729533	+	0.442210i
$928$	16.7466	−	62.4990i	0.549733	−	2.05163i
$929$	36.8995	−	36.8995i	1.21063	−	1.21063i	0.239816	−	0.970818i	$-0.422913\pi$
$929$	36.8995	−	36.8995i	1.21063	−	1.21063i	0.970818	−	0.239816i	$-0.0770872\pi$
$930$	−5.61619	−	21.6734i	−0.184162	−	0.710698i
$931$	−4.79416	+	15.4303i	−0.157122	+	0.505707i
$932$	−1.41096	−	0.814621i	−0.0462177	−	0.0266838i
$933$	19.3386	+	34.1427i	0.633116	+	1.11778i
$934$	−21.9098	−	81.7686i	−0.716911	−	2.67555i
$935$	−0.217259	−	0.376303i	−0.00710511	−	0.0123064i
$936$	47.3381	+	64.3951i	1.54730	+	2.10482i
$937$	2.65360			0.0866893			0.0433447	−	0.999060i	$-0.486199\pi$
$937$	2.65360			0.0866893			0.0433447	+	0.999060i	$0.486199\pi$
$938$	55.6624	−	30.6893i	1.81744	−	1.00204i
$939$	−24.7430	−	43.6843i	−0.807457	−	1.42558i
$940$	−2.60150	+	1.50198i	−0.0848515	+	0.0489890i
$941$	−40.4347	+	40.4347i	−1.31813	+	1.31813i	−0.402879	+	0.915253i	$0.631991\pi$
$941$	−40.4347	+	40.4347i	−1.31813	+	1.31813i	−0.915253	+	0.402879i	$0.868009\pi$
$942$	−1.65273	−	0.457492i	−0.0538490	−	0.0149059i
$943$	11.4555	−	11.4555i	0.373044	−	0.373044i
$944$	68.4299	+	68.4299i	2.22720	+	2.22720i
$945$	−11.5893	+	2.55916i	−0.376999	+	0.0832496i
$946$		−	7.16375i		−	0.232914i
$947$	5.12157	+	5.12157i	0.166429	+	0.166429i	0.785408	−	0.618979i	$-0.212453\pi$
$947$	5.12157	+	5.12157i	0.166429	+	0.166429i	−0.618979	+	0.785408i	$0.712453\pi$
$948$	−67.5545	+	38.2632i	−2.19407	+	1.24273i
$949$	−3.93869	−	30.8939i	−0.127855	−	1.00286i
$950$	−22.2242	+	12.8311i	−0.721048	+	0.416297i
$951$	−14.4003	−	3.98614i	−0.466962	−	0.129259i
$952$	6.32118	+	25.6001i	0.204871	+	0.829703i
$953$	22.9695			0.744056			0.372028	−	0.928221i	$-0.378663\pi$
$953$	22.9695			0.744056			0.372028	+	0.928221i	$0.378663\pi$
$954$	−55.8228	−	57.6955i	−1.80733	−	1.86796i
$955$	0.599280	−	2.23654i	0.0193922	−	0.0723728i
$956$	18.2296	−	4.88462i	0.589589	−	0.157980i
$957$	−3.85978	−	1.06842i	−0.124769	−	0.0345372i
$958$	4.74187	−	8.21315i	0.153203	−	0.265355i
$959$	11.6465	−	11.1960i	0.376085	−	0.361536i
$960$	11.5524	−	2.99356i	0.372853	−	0.0966169i
$961$			1.83621i			0.0592324i
$962$	10.5336	−	77.5563i	0.339617	−	2.50052i
$963$	22.6538	−	12.5856i	0.730008	−	0.405564i
$964$	−118.788	+	31.8293i	−3.82592	+	1.02515i
$965$	7.79769	−	4.50200i	0.251017	−	0.144925i
$966$	57.5960	+	60.9115i	1.85312	+	1.95979i
$967$	16.1929	−	4.33888i	0.520729	−	0.139529i	0.0111253	−	0.999938i	$-0.496459\pi$
$967$	16.1929	−	4.33888i	0.520729	−	0.139529i	0.509604	+	0.860409i	$0.329792\pi$
$968$	−77.5142	−	20.7699i	−2.49140	−	0.667568i
$969$	−1.43868	+	5.19736i	−0.0462169	+	0.166963i
$970$	−6.46951	−	24.1445i	−0.207723	−	0.775234i
$971$	30.1300	+	17.3956i	0.966918	+	0.558250i	0.898295	−	0.439393i	$-0.144806\pi$
$971$	30.1300	+	17.3956i	0.966918	+	0.558250i	0.0686224	+	0.997643i	$0.478140\pi$
$972$	−63.5676	−	40.2835i	−2.03893	−	1.29209i
$973$	0.0783069	−	3.97015i	0.00251040	−	0.127277i
$974$	32.2529	+	55.8637i	1.03345	+	1.78999i
$975$	−24.6717	+	9.86443i	−0.790126	+	0.315915i
$976$	−6.92974			−0.221816
$977$	11.5269	−	11.5269i	0.368778	−	0.368778i	−0.498253	−	0.867031i	$-0.666025\pi$
$977$	11.5269	−	11.5269i	0.368778	−	0.368778i	0.867031	+	0.498253i	$0.166025\pi$
$978$	−0.336155	+	40.7552i	−0.0107491	+	1.30321i
$979$	3.49477	−	2.01771i	0.111693	−	0.0644862i
$980$	19.8000	+	21.4270i	0.632489	+	0.684460i
$981$	−26.1892	−	27.0678i	−0.836156	−	0.864207i
$982$	−1.20577	−	4.50001i	−0.0384778	−	0.143601i
$983$	28.0647	−	7.51993i	0.895126	−	0.239848i	0.218204	−	0.975903i	$-0.429980\pi$
$983$	28.0647	−	7.51993i	0.895126	−	0.239848i	0.676922	+	0.736055i	$0.263313\pi$
$984$	29.6142	+	0.244263i	0.944068	+	0.00778682i
$985$	−10.6246	+	6.13409i	−0.338526	+	0.195448i
$986$	21.0963	−	5.65273i	0.671842	−	0.180020i
$987$	−0.765299	−	3.21302i	−0.0243597	−	0.102271i
$988$	31.9762	−	24.3289i	1.01730	−	0.774006i
$989$	44.5460	+	25.7187i	1.41648	+	0.817806i
$990$	−0.613252	−	2.44963i	−0.0194904	−	0.0778543i
$991$	19.9231	+	34.5078i	0.632878	+	1.09618i	0.986961	+	0.160962i	$0.0514598\pi$
$991$	19.9231	+	34.5078i	0.632878	+	1.09618i	−0.354083	+	0.935214i	$0.615207\pi$
$992$	−59.8342			−1.89974
$993$	11.4887	−	41.5040i	0.364582	−	1.31709i
$994$	39.9933	+	72.5373i	1.26851	+	2.30074i
$995$	−18.3806	+	4.92508i	−0.582705	+	0.156135i
$996$	24.9225	−	6.45812i	0.789699	−	0.204633i
$997$	−2.61993	+	4.53785i	−0.0829740	+	0.143715i	−0.904526	−	0.426418i	$-0.859775\pi$
$997$	−2.61993	+	4.53785i	−0.0829740	+	0.143715i	0.821552	+	0.570133i	$0.193109\pi$
$998$	54.8186	+	94.9485i	1.73525	+	3.00554i
$999$	10.1376	+	41.9604i	0.320738	+	1.32757i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	819.2.ev.a.86.5	✓	432
7.4	even	3		819.2.fx.a.788.5	yes	432
9.2	odd	6		819.2.fx.a.632.5	yes	432
13.5	odd	4	inner	819.2.ev.a.590.104	yes	432
63.11	odd	6	inner	819.2.ev.a.515.104	yes	432
91.18	odd	12		819.2.fx.a.473.5	yes	432
117.83	even	12		819.2.fx.a.317.5	yes	432
819.200	even	12	inner	819.2.ev.a.200.5	yes	432

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
819.2.ev.a.86.5	✓	432	1.1	even	1	trivial
819.2.ev.a.200.5	yes	432	819.200	even	12	inner
819.2.ev.a.515.104	yes	432	63.11	odd	6	inner
819.2.ev.a.590.104	yes	432	13.5	odd	4	inner
819.2.fx.a.317.5	yes	432	117.83	even	12
819.2.fx.a.473.5	yes	432	91.18	odd	12
819.2.fx.a.632.5	yes	432	9.2	odd	6
819.2.fx.a.788.5	yes	432	7.4	even	3

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.ev (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.84767 + 1.84767i) q^{2} +(0.853624 + 1.50709i) q^{3} -4.82773i q^{4} +(-0.833887 - 0.223439i) q^{5} +(-4.36181 - 1.20739i) q^{6} +(-2.31693 + 1.27743i) q^{7} +(5.22471 + 5.22471i) q^{8} +(-1.54265 + 2.57298i) q^{9} +O(q^{10})\)	\(q+(-1.84767 + 1.84767i) q^{2} +(0.853624 + 1.50709i) q^{3} -4.82773i q^{4} +(-0.833887 - 0.223439i) q^{5} +(-4.36181 - 1.20739i) q^{6} +(-2.31693 + 1.27743i) q^{7} +(5.22471 + 5.22471i) q^{8} +(-1.54265 + 2.57298i) q^{9} +(1.95358 - 1.12790i) q^{10} +(-0.360430 + 0.0965769i) q^{11} +(7.27584 - 4.12107i) q^{12} +(-1.36614 - 3.33671i) q^{13} +(1.92064 - 6.64118i) q^{14} +(-0.375082 - 1.44748i) q^{15} -9.65155 q^{16} +(-0.674430 - 1.16815i) q^{17} +(-1.90370 - 7.60431i) q^{18} +(-2.22962 + 0.597425i) q^{19} +(-1.07871 + 4.02578i) q^{20} +(-3.90300 - 2.40138i) q^{21} +(0.487512 - 0.844395i) q^{22} +(3.50044 + 6.06294i) q^{23} +(-3.41418 + 12.3340i) q^{24} +(-3.68468 - 2.12735i) q^{25} +(8.68930 + 3.64096i) q^{26} +(-5.19456 - 0.128560i) q^{27} +(6.16711 + 11.1855i) q^{28} +(5.36646 - 3.09832i) q^{29} +(3.36748 + 1.98143i) q^{30} +(-4.05193 - 4.05193i) q^{31} +(7.38342 - 7.38342i) q^{32} +(-0.453222 - 0.460760i) q^{33} +(3.40446 + 0.912223i) q^{34} +(2.21749 - 0.547542i) q^{35} +(12.4217 + 7.44751i) q^{36} +(-2.15017 - 8.02454i) q^{37} +(3.01575 - 5.22343i) q^{38} +(3.86257 - 4.90720i) q^{39} +(-3.18941 - 5.52422i) q^{40} +(-0.598927 - 2.23523i) q^{41} +(11.6484 - 2.77449i) q^{42} +(6.36292 - 3.67363i) q^{43} +(0.466247 + 1.74006i) q^{44} +(1.86130 - 1.80089i) q^{45} +(-17.6699 - 4.73464i) q^{46} +(0.509649 + 0.509649i) q^{47} +(-8.23880 - 14.5458i) q^{48} +(3.73632 - 5.91945i) q^{49} +(10.7387 - 2.87743i) q^{50} +(1.18479 - 2.01359i) q^{51} +(-16.1088 + 6.59536i) q^{52} +(8.86913 - 5.12060i) q^{53} +(9.83535 - 9.36028i) q^{54} +0.322137 q^{55} +(-18.7795 - 5.43106i) q^{56} +(-2.80363 - 2.85027i) q^{57} +(-4.19075 + 15.6401i) q^{58} +(-7.09004 - 7.09004i) q^{59} +(-6.98804 + 1.81080i) q^{60} +0.717993 q^{61} +14.9732 q^{62} +(0.287403 - 7.93205i) q^{63} +7.98108i q^{64} +(0.393652 + 3.08769i) q^{65} +(1.68873 + 0.0139289i) q^{66} +(6.50123 + 6.50123i) q^{67} +(-5.63950 + 3.25597i) q^{68} +(-6.14935 + 10.4510i) q^{69} +(-3.08550 + 5.10885i) q^{70} +(-8.47218 + 8.47218i) q^{71} +(-21.5030 + 5.38316i) q^{72} +(8.34347 + 2.23563i) q^{73} +(18.7995 + 10.8539i) q^{74} +(0.0607817 - 7.36912i) q^{75} +(2.88421 + 10.7640i) q^{76} +(0.711720 - 0.684187i) q^{77} +(1.93013 + 16.2036i) q^{78} -9.28477 q^{79} +(8.04830 + 2.15654i) q^{80} +(-4.24045 - 7.93842i) q^{81} +(5.23657 + 3.02333i) q^{82} +(2.97402 + 0.796885i) q^{83} +(-11.5932 + 18.8426i) q^{84} +(0.301388 + 1.12480i) q^{85} +(-4.96890 + 18.5442i) q^{86} +(9.25040 + 5.44294i) q^{87} +(-2.38773 - 1.37855i) q^{88} +(-10.4461 + 2.79903i) q^{89} +(-0.111630 + 6.76650i) q^{90} +(7.42768 + 5.98578i) q^{91} +(29.2703 - 16.8992i) q^{92} +(2.64780 - 9.56545i) q^{93} -1.88332 q^{94} +1.99274 q^{95} +(17.4302 + 4.82483i) q^{96} +(2.86794 - 10.7033i) q^{97} +(4.03368 + 17.8406i) q^{98} +(0.307527 - 1.07636i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 432 q - 4 q^{3} - 6 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{9}+O(q^{10}) \) 432 * q - 4 * q^3 - 6 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^9	\( 432 q - 4 q^{3} - 6 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{9} + 6 q^{11} - 4 q^{13} - 12 q^{14} + 18 q^{15} - 392 q^{16} + 22 q^{18} - 8 q^{19} - 24 q^{20} - 6 q^{21} - 8 q^{22} - 4 q^{24} - 4 q^{27} + 12 q^{28} - 24 q^{29} + 12 q^{31} - 10 q^{33} - 60 q^{35} - 6 q^{37} - 8 q^{39} + 36 q^{40} - 12 q^{41} + 92 q^{42} + 12 q^{44} - 62 q^{45} - 12 q^{46} - 52 q^{48} - 18 q^{50} + 10 q^{52} + 48 q^{53} + 14 q^{54} - 32 q^{55} + 28 q^{57} + 10 q^{58} + 74 q^{60} - 8 q^{61} - 58 q^{63} - 4 q^{66} - 32 q^{67} + 84 q^{68} - 46 q^{70} + 94 q^{72} - 32 q^{73} - 180 q^{74} - 36 q^{76} - 74 q^{78} + 40 q^{79} + 102 q^{80} + 36 q^{81} - 12 q^{83} + 64 q^{84} + 18 q^{85} - 162 q^{86} - 92 q^{87} - 30 q^{89} - 16 q^{91} - 228 q^{92} + 10 q^{93} - 8 q^{94} - 42 q^{96} - 6 q^{97} + 36 q^{98} + 2 q^{99}+O(q^{100}) \) 432 * q - 4 * q^3 - 6 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^9 + 6 * q^11 - 4 * q^13 - 12 * q^14 + 18 * q^15 - 392 * q^16 + 22 * q^18 - 8 * q^19 - 24 * q^20 - 6 * q^21 - 8 * q^22 - 4 * q^24 - 4 * q^27 + 12 * q^28 - 24 * q^29 + 12 * q^31 - 10 * q^33 - 60 * q^35 - 6 * q^37 - 8 * q^39 + 36 * q^40 - 12 * q^41 + 92 * q^42 + 12 * q^44 - 62 * q^45 - 12 * q^46 - 52 * q^48 - 18 * q^50 + 10 * q^52 + 48 * q^53 + 14 * q^54 - 32 * q^55 + 28 * q^57 + 10 * q^58 + 74 * q^60 - 8 * q^61 - 58 * q^63 - 4 * q^66 - 32 * q^67 + 84 * q^68 - 46 * q^70 + 94 * q^72 - 32 * q^73 - 180 * q^74 - 36 * q^76 - 74 * q^78 + 40 * q^79 + 102 * q^80 + 36 * q^81 - 12 * q^83 + 64 * q^84 + 18 * q^85 - 162 * q^86 - 92 * q^87 - 30 * q^89 - 16 * q^91 - 228 * q^92 + 10 * q^93 - 8 * q^94 - 42 * q^96 - 6 * q^97 + 36 * q^98 + 2 * q^99

Introduction

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