LMFDB - Embedded newform 819.2.ev.a.590.104

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			590.104
Character	$\chi$	$=$	819.590
Dual form			819.2.ev.a.515.104

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.84767 + 1.84767i) q^{2} +(0.853624 + 1.50709i) q^{3} +4.82773i q^{4} +(-0.223439 + 0.833887i) q^{5} +(-1.20739 + 4.36181i) q^{6} +(-1.27743 - 2.31693i) q^{7} +(-5.22471 + 5.22471i) q^{8} +(-1.54265 + 2.57298i) q^{9} +O(q^{10})$	\(q+(1.84767 + 1.84767i) q^{2} +(0.853624 + 1.50709i) q^{3} +4.82773i q^{4} +(-0.223439 + 0.833887i) q^{5} +(-1.20739 + 4.36181i) q^{6} +(-1.27743 - 2.31693i) q^{7} +(-5.22471 + 5.22471i) q^{8} +(-1.54265 + 2.57298i) q^{9} +(-1.95358 + 1.12790i) q^{10} +(-0.0965769 - 0.360430i) q^{11} +(-7.27584 + 4.12107i) q^{12} +(3.57275 - 0.485246i) q^{13} +(1.92064 - 6.64118i) q^{14} +(-1.44748 + 0.375082i) q^{15} -9.65155 q^{16} +(0.674430 + 1.16815i) q^{17} +(-7.60431 + 1.90370i) q^{18} +(0.597425 + 2.22962i) q^{19} +(-4.02578 - 1.07871i) q^{20} +(2.40138 - 3.90300i) q^{21} +(0.487512 - 0.844395i) q^{22} +(-3.50044 - 6.06294i) q^{23} +(-12.3340 - 3.41418i) q^{24} +(3.68468 + 2.12735i) q^{25} +(7.49782 + 5.70467i) q^{26} +(-5.19456 - 0.128560i) q^{27} +(11.1855 - 6.16711i) 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} +(0.460760 - 0.453222i) q^{33} +(-0.912223 + 3.40446i) q^{34} +(2.21749 - 0.547542i) q^{35} +(-12.4217 - 7.44751i) q^{36} +(8.02454 - 2.15017i) q^{37} +(-3.01575 + 5.22343i) q^{38} +(3.78110 + 4.97024i) q^{39} +(-3.18941 - 5.52422i) q^{40} +(-2.23523 + 0.598927i) q^{41} +(11.6484 - 2.77449i) q^{42} +(-6.36292 + 3.67363i) q^{43} +(1.74006 - 0.466247i) q^{44} +(-1.80089 - 1.86130i) q^{45} +(4.73464 - 17.6699i) q^{46} +(-0.509649 + 0.509649i) q^{47} +(-8.23880 - 14.5458i) q^{48} +(-3.73632 + 5.91945i) q^{49} +(2.87743 + 10.7387i) q^{50} +(-1.18479 + 2.01359i) q^{51} +(2.34264 + 17.2483i) q^{52} +(8.86913 - 5.12060i) q^{53} +(-9.36028 - 9.83535i) q^{54} +0.322137 q^{55} +(18.7795 + 5.43106i) q^{56} +(-2.85027 + 2.80363i) q^{57} +(15.6401 + 4.19075i) q^{58} +(7.09004 - 7.09004i) q^{59} +(-1.81080 - 6.98804i) q^{60} +0.717993 q^{61} -14.9732 q^{62} +(7.93205 + 0.287403i) 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} +(5.10885 + 3.08550i) q^{70} +(8.47218 + 8.47218i) q^{71} +(-5.38316 - 21.5030i) q^{72} +(-2.23563 + 8.34347i) q^{73} +(18.7995 + 10.8539i) q^{74} +(-0.0607817 + 7.36912i) q^{75} +(-10.7640 + 2.88421i) q^{76} +(-0.711720 + 0.684187i) q^{77} +(-2.19715 + 16.1695i) q^{78} -9.28477 q^{79} +(2.15654 - 8.04830i) q^{80} +(-4.24045 - 7.93842i) q^{81} +(-5.23657 - 3.02333i) q^{82} +(0.796885 - 2.97402i) q^{83} +(18.8426 + 11.5932i) q^{84} +(-1.12480 + 0.301388i) q^{85} +(-18.5442 - 4.96890i) q^{86} +(9.25040 + 5.44294i) q^{87} +(2.38773 + 1.37855i) q^{88} +(-2.79903 - 10.4461i) q^{89} +(0.111630 - 6.76650i) q^{90} +(-5.68823 - 7.65794i) q^{91} +(29.2703 - 16.8992i) q^{92} +(-9.56545 - 2.64780i) q^{93} -1.88332 q^{94} -1.99274 q^{95} +(4.82483 - 17.4302i) q^{96} +(-10.7033 - 2.86794i) q^{97} +(-17.8406 + 4.03368i) q^{98} +(1.07636 + 0.307527i) 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 $\left(\mathbb{Z}/819\mathbb{Z}\right)^\times$.

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

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	0.923926	+	0.382570i	$0.124961\pi$
$2$	1.84767	+	1.84767i	1.30650	+	1.30650i	0.382570	+	0.923926i	$0.375039\pi$
$3$	0.853624	+	1.50709i	0.492840	+	0.870120i
$3$	0.853624	+	1.50709i	0.492840	+	0.870120i
$4$			4.82773i			2.41387i
$5$	−0.223439	+	0.833887i	−0.0999251	+	0.372926i	−0.997720	−	0.0674881i	$-0.978502\pi$
$5$	−0.223439	+	0.833887i	−0.0999251	+	0.372926i	0.897795	+	0.440414i	$0.145168\pi$
$6$	−1.20739	+	4.36181i	−0.492915	+	1.78070i
$7$	−1.27743	−	2.31693i	−0.482825	−	0.875717i
$7$	−1.27743	−	2.31693i	−0.482825	−	0.875717i
$8$	−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
$11$	−0.0965769	−	0.360430i	−0.0291190	−	0.108674i	0.949837	−	0.312746i	$-0.101249\pi$
$11$	−0.0965769	−	0.360430i	−0.0291190	−	0.108674i	−0.978956	+	0.204072i	$0.934582\pi$
$12$	−7.27584	+	4.12107i	−2.10035	+	1.18965i
$13$	3.57275	−	0.485246i	0.990902	−	0.134583i
$13$	3.57275	−	0.485246i	0.990902	−	0.134583i
$14$	1.92064	−	6.64118i	0.513313	−	1.77493i
$15$	−1.44748	+	0.375082i	−0.373737	+	0.0968458i
$16$	−9.65155			−2.41289
$17$	0.674430	+	1.16815i	0.163573	+	0.283317i	0.936148	−	0.351607i	$-0.114365\pi$
$17$	0.674430	+	1.16815i	0.163573	+	0.283317i	−0.772574	+	0.634924i	$0.781031\pi$
$18$	−7.60431	+	1.90370i	−1.79235	+	0.448707i
$19$	0.597425	+	2.22962i	0.137059	+	0.511510i	0.999981	+	0.00617322i	$0.00196501\pi$
$19$	0.597425	+	2.22962i	0.137059	+	0.511510i	−0.862922	+	0.505337i	$0.831368\pi$
$20$	−4.02578	−	1.07871i	−0.900193	−	0.241206i
$21$	2.40138	−	3.90300i	0.524023	−	0.851704i
$22$	0.487512	−	0.844395i	0.103938	−	0.180026i
$23$	−3.50044	−	6.06294i	−0.729892	−	1.26421i	−0.956928	−	0.290324i	$-0.906237\pi$
$23$	−3.50044	−	6.06294i	−0.729892	−	1.26421i	0.227036	−	0.973886i	$-0.427097\pi$
$24$	−12.3340	−	3.41418i	−2.51768	−	0.696916i
$25$	3.68468	+	2.12735i	0.736937	+	0.425471i
$26$	7.49782	+	5.70467i	1.47044	+	1.11878i
$27$	−5.19456	−	0.128560i	−0.999694	−	0.0247414i
$28$	11.1855	−	6.16711i	2.11386	−	1.16547i
$29$	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	−0.970171	−	0.242423i	$-0.922058\pi$
$31$	−4.05193	+	4.05193i	−0.727747	+	0.727747i	0.242423	+	0.970171i	$0.422058\pi$
$32$	−7.38342	−	7.38342i	−1.30522	−	1.30522i
$33$	0.460760	−	0.453222i	0.0802081	−	0.0788958i
$34$	−0.912223	+	3.40446i	−0.156445	+	0.583861i
$35$	2.21749	−	0.547542i	0.374824	−	0.0925515i
$36$	−12.4217	−	7.44751i	−2.07028	−	1.24125i
$37$	8.02454	−	2.15017i	1.31923	−	0.353486i	0.470539	−	0.882379i	$-0.344060\pi$
$37$	8.02454	−	2.15017i	1.31923	−	0.353486i	0.848688	+	0.528894i	$0.177393\pi$
$38$	−3.01575	+	5.22343i	−0.489219	+	0.847353i
$39$	3.78110	+	4.97024i	0.605460	+	0.795876i
$40$	−3.18941	−	5.52422i	−0.504290	−	0.873456i
$41$	−2.23523	+	0.598927i	−0.349084	+	0.0935367i	−0.429100	−	0.903257i	$-0.641169\pi$
$41$	−2.23523	+	0.598927i	−0.349084	+	0.0935367i	0.0800166	+	0.996794i	$0.474503\pi$
$42$	11.6484	−	2.77449i	1.79738	−	0.428113i
$43$	−6.36292	+	3.67363i	−0.970336	+	0.560223i	−0.899339	−	0.437253i	$-0.855951\pi$
$43$	−6.36292	+	3.67363i	−0.970336	+	0.560223i	−0.0709970	+	0.997477i	$0.522618\pi$
$44$	1.74006	−	0.466247i	0.262324	−	0.0702894i
$45$	−1.80089	−	1.86130i	−0.268460	−	0.277466i
$46$	4.73464	−	17.6699i	0.698085	−	2.60529i
$47$	−0.509649	+	0.509649i	−0.0743399	+	0.0743399i	−0.743299	−	0.668959i	$-0.766740\pi$
$47$	−0.509649	+	0.509649i	−0.0743399	+	0.0743399i	0.668959	+	0.743299i	$0.266740\pi$
$48$	−8.23880	−	14.5458i	−1.18917	−	2.09950i
$49$	−3.73632	+	5.91945i	−0.533761	+	0.845636i
$50$	2.87743	+	10.7387i	0.406930	+	1.51868i
$51$	−1.18479	+	2.01359i	−0.165904	+	0.281958i
$52$	2.34264	+	17.2483i	0.324866	+	2.39191i
$53$	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	$0.0850120\pi$
$54$	−9.36028	−	9.83535i	−1.27377	−	1.33842i
$55$	0.322137			0.0434369
$56$	18.7795	+	5.43106i	2.50952	+	0.725756i
$57$	−2.85027	+	2.80363i	−0.377527	+	0.371350i
$58$	15.6401	+	4.19075i	2.05364	+	0.550272i
$59$	7.09004	−	7.09004i	0.923045	−	0.923045i	−0.0741983	−	0.997244i	$-0.523640\pi$
$59$	7.09004	−	7.09004i	0.923045	−	0.923045i	0.997244	+	0.0741983i	$0.0236398\pi$
$60$	−1.81080	−	6.98804i	−0.233773	−	0.902152i
$61$	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
$63$	7.93205	+	0.287403i	0.999344	+	0.0362094i
$64$		−	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	−0.187930	−	0.982182i	$-0.560178\pi$
$67$	6.50123	−	6.50123i	0.794252	−	0.794252i	0.982182	+	0.187930i	$0.0601780\pi$
$68$	−5.63950	+	3.25597i	−0.683890	+	0.394844i
$69$	6.14935	−	10.4510i	0.740295	−	1.25815i
$70$	5.10885	+	3.08550i	0.610624	+	0.368787i
$71$	8.47218	+	8.47218i	1.00546	+	1.00546i	0.999985	+	0.00547776i	$0.00174363\pi$
$71$	8.47218	+	8.47218i	1.00546	+	1.00546i	0.00547776	+	0.999985i	$0.498256\pi$
$72$	−5.38316	−	21.5030i	−0.634412	−	2.53415i
$73$	−2.23563	+	8.34347i	−0.261660	+	0.976529i	0.702603	+	0.711582i	$0.252021\pi$
$73$	−2.23563	+	8.34347i	−0.261660	+	0.976529i	−0.964263	+	0.264947i	$0.914646\pi$
$74$	18.7995	+	10.8539i	2.18539	+	1.26174i
$75$	−0.0607817	+	7.36912i	−0.00701847	+	0.850913i
$76$	−10.7640	+	2.88421i	−1.23472	+	0.330841i
$77$	−0.711720	+	0.684187i	−0.0811080	+	0.0779703i
$78$	−2.19715	+	16.1695i	−0.248778	+	1.83084i
$79$	−9.28477			−1.04462			−0.522309	−	0.852756i	$-0.674929\pi$
$79$	−9.28477			−1.04462			−0.522309	+	0.852756i	$0.674929\pi$
$80$	2.15654	−	8.04830i	0.241108	−	0.899827i
$81$	−4.24045	−	7.93842i	−0.471161	−	0.882047i
$82$	−5.23657	−	3.02333i	−0.578282	−	0.333871i
$83$	0.796885	−	2.97402i	0.0874695	−	0.326441i	−0.908301	−	0.418318i	$-0.862620\pi$
$83$	0.796885	−	2.97402i	0.0874695	−	0.326441i	0.995770	+	0.0918768i	$0.0292866\pi$
$84$	18.8426	+	11.5932i	2.05590	+	1.26492i
$85$	−1.12480	+	0.301388i	−0.122001	+	0.0326901i
$86$	−18.5442	−	4.96890i	−1.99967	−	0.535810i
$87$	9.25040	+	5.44294i	0.991747	+	0.583544i
$88$	2.38773	+	1.37855i	0.254532	+	0.146954i
$89$	−2.79903	−	10.4461i	−0.296697	−	1.10729i	−0.939861	−	0.341558i	$-0.889045\pi$
$89$	−2.79903	−	10.4461i	−0.296697	−	1.10729i	0.643164	−	0.765729i	$-0.277621\pi$
$90$	0.111630	−	6.76650i	0.0117668	−	0.713251i
$91$	−5.68823	−	7.65794i	−0.596289	−	0.802770i
$92$	29.2703	−	16.8992i	3.05164	−	1.76186i
$93$	−9.56545	−	2.64780i	−0.991891	−	0.274564i
$94$	−1.88332			−0.194250
$95$	−1.99274			−0.204451
$96$	4.82483	−	17.4302i	0.492432	−	1.77896i
$97$	−10.7033	−	2.86794i	−1.08675	−	0.291195i	−0.329394	−	0.944192i	$-0.606845\pi$
$97$	−10.7033	−	2.86794i	−1.08675	−	0.291195i	−0.757360	+	0.652997i	$0.773511\pi$
$98$	−17.8406	+	4.03368i	−1.80218	+	0.407464i
$99$	1.07636	+	0.307527i	0.108179	+	0.0309076i
$100$	−10.2703	+	17.7887i	−1.02703	+	1.77887i
$101$	−1.80971	+	3.13451i	−0.180073	+	0.311896i	−0.941905	−	0.335879i	$-0.890967\pi$
$101$	−1.80971	+	3.13451i	−0.180073	+	0.311896i	0.761832	+	0.647774i	$0.224300\pi$
$102$	−5.90954	+	1.53133i	−0.585131	+	0.151624i
$103$	−3.88720	+	2.24427i	−0.383017	+	0.221135i	−0.679130	−	0.734018i	$-0.737643\pi$
$103$	−3.88720	+	2.24427i	−0.383017	+	0.221135i	0.296113	+	0.955153i	$0.404309\pi$
$104$	−16.1313	+	21.2018i	−1.58180	+	2.07901i
$105$	2.71810	+	2.87456i	0.265259	+	0.280528i
$106$	25.8483	+	6.92604i	2.51061	+	0.672717i
$107$	−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
$109$	12.1267	+	3.24934i	1.16153	+	0.311230i	0.787576	−	0.616218i	$-0.211336\pi$
$109$	12.1267	+	3.24934i	1.16153	+	0.311230i	0.373952	+	0.927448i	$0.378003\pi$
$110$	0.595201	+	0.595201i	0.0567502	+	0.0567502i
$111$	10.0904	+	10.2583i	0.957743	+	0.973673i
$112$	12.3292	+	22.3620i	1.16500	+	2.11301i
$113$	−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
$115$	5.83794	−	1.56427i	0.544391	−	0.145869i
$116$	14.9579	+	25.9078i	1.38881	+	2.40548i
$117$	−4.26298	+	9.94118i	−0.394113	+	0.919062i
$118$	26.2001			2.41191
$119$	1.84497	−	3.05484i	0.169128	−	0.280036i
$120$	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
$123$	−2.81068	−	2.85743i	−0.253431	−	0.257646i
$124$	−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	$0.0586580\pi$
$127$			4.12998i			0.366476i	−0.983069	+	0.183238i	$0.941342\pi$
$128$	−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	$0.488290\pi$
$132$	2.18803	+	2.22443i	0.190444	+	0.193612i
$133$	4.40270	−	4.23238i	0.381763	−	0.366994i
$134$	24.0242			2.07537
$135$	1.26787	−	4.30295i	0.109121	−	0.370339i
$136$	−9.62692	−	2.57953i	−0.825502	−	0.221192i
$137$	−1.58037	−	5.89803i	−0.135020	−	0.503903i	−0.999998	−	0.00209203i	$-0.999334\pi$
$137$	−1.58037	−	5.89803i	−0.135020	−	0.503903i	0.864977	−	0.501811i	$-0.167333\pi$
$138$	30.6718	−	7.94794i	2.61096	−	0.676573i
$139$	−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
$141$	−1.20314	−	0.333039i	−0.101322	−	0.0280470i
$142$			31.3075i			2.62727i
$143$	−0.519942	−	1.24086i	−0.0434797	−	0.103766i
$144$	14.8890	−	24.8332i	1.24075	−	2.06944i
$145$	1.38458	+	5.16730i	0.114983	+	0.429121i
$146$	−19.5466	+	11.2852i	−1.61769	+	0.933974i
$147$	−12.1106	−	0.577999i	−0.998863	−	0.0476726i
$148$	10.3804	+	38.7404i	0.853268	+	3.18444i
$149$	4.40461	−	16.4382i	0.360840	−	1.34667i	−0.512133	−	0.858906i	$-0.671145\pi$
$149$	4.40461	−	16.4382i	0.360840	−	1.34667i	0.872973	−	0.487768i	$-0.162189\pi$
$150$	−13.7280	+	13.5034i	−1.12088	+	1.10254i
$151$	18.2385	−	4.88699i	1.48423	−	0.397697i	0.576443	−	0.817137i	$-0.304440\pi$
$151$	18.2385	−	4.88699i	1.48423	−	0.397697i	0.907783	+	0.419440i	$0.137774\pi$
$152$	−14.7705	−	8.52774i	−1.19804	−	0.691691i
$153$	−4.04603	−	0.0667491i	−0.327102	−	0.00539635i
$154$	−2.57917	−	0.0508713i	−0.207835	−	0.00409932i
$155$	−2.47349	−	4.28421i	−0.198675	−	0.344116i
$156$	−23.9950	+	18.2541i	−1.92114	+	1.46150i
$157$	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
$161$	−9.57583	+	15.8553i	−0.754681	+	1.24957i
$162$	6.83262	−	22.5025i	0.536821	−	1.76796i
$163$	8.69846	−	2.33074i	0.681316	−	0.182558i	0.0984691	−	0.995140i	$-0.468605\pi$
$163$	8.69846	−	2.33074i	0.681316	−	0.182558i	0.582847	+	0.812582i	$0.301939\pi$
$164$	−2.89146	−	10.7911i	−0.225785	−	0.842642i
$165$	0.274984	+	0.485490i	0.0214074	+	0.0377953i
$166$	6.96736	−	4.02261i	0.540772	−	0.312215i
$167$	−4.71580	−	17.5996i	−0.364919	−	1.36190i	−0.867530	−	0.497384i	$-0.834294\pi$
$167$	−4.71580	−	17.5996i	−0.364919	−	1.36190i	0.502611	−	0.864513i	$-0.332373\pi$
$168$	7.84553	+	32.9385i	0.605295	+	2.54126i
$169$	12.5291	−	3.46732i	0.963775	−	0.266717i
$170$	−2.63511	−	1.52138i	−0.202104	−	0.116685i
$171$	−6.65839	−	1.90236i	−0.509179	−	0.145477i
$172$	−17.7353	−	30.7185i	−1.35231	−	2.34226i
$173$	3.31926			0.252359			0.126180	−	0.992007i	$-0.459728\pi$
$173$	3.31926			0.252359			0.126180	+	0.992007i	$0.459728\pi$
$174$	7.03491	+	27.1484i	0.533315	+	2.05811i
$175$	0.221987	−	11.2547i	0.0167806	−	0.850776i
$176$	0.932116	+	3.47871i	0.0702609	+	0.262217i
$177$	16.7376	+	4.63312i	1.25807	+	0.348246i
$178$	14.1293	−	24.4726i	1.05903	−	1.83430i
$179$	−4.00862	−	6.94313i	−0.299618	−	0.518954i	0.676430	−	0.736507i	$-0.263526\pi$
$179$	−4.00862	−	6.94313i	−0.299618	−	0.518954i	−0.976049	+	0.217553i	$0.930193\pi$
$180$	8.98587	−	8.69419i	0.669767	−	0.648027i
$181$			21.2682i			1.58085i	0.612559	+	0.790425i	$0.290140\pi$
$181$			21.2682i			1.58085i	−0.612559	+	0.790425i	$0.709860\pi$
$182$	3.63936	−	24.6593i	0.269767	−	1.82787i
$183$	0.612896	+	1.08208i	0.0453066	+	0.0799897i
$184$	49.9659	+	13.3883i	3.68353	+	0.987000i
$185$			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
$189$	6.33785	+	12.1997i	0.461010	+	0.887395i
$190$	−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	0.389970	−	0.920828i	$-0.372486\pi$
$193$	−7.37492	−	7.37492i	−0.530858	−	0.530858i	−0.920828	+	0.389970i	$0.872486\pi$
$194$	−14.4771	−	25.0751i	−1.03940	−	1.80029i
$195$	−4.98947	+	2.04246i	−0.357303	+	0.146263i
$196$	−28.5775	−	18.0380i	−2.04125	−	1.28843i
$197$	−10.0485	−	10.0485i	−0.715927	−	0.715927i	0.251842	−	0.967768i	$-0.418964\pi$
$197$	−10.0485	−	10.0485i	−0.715927	−	0.715927i	−0.967768	+	0.251842i	$0.918964\pi$
$198$	1.42055	+	2.55697i	0.100954	+	0.181716i
$199$	−19.0890	+	11.0211i	−1.35319	+	0.781262i	−0.988694	−	0.149945i	$-0.952090\pi$
$199$	−19.0890	+	11.0211i	−1.35319	+	0.781262i	−0.364491	+	0.931207i	$0.618757\pi$
$200$	−30.3662	+	8.13660i	−2.14721	+	0.575344i
$201$	15.3476	+	4.24835i	1.08253	+	0.299655i
$202$	−9.13527	+	2.44779i	−0.642755	+	0.172226i
$203$	−14.0339	−	8.47579i	−0.984986	−	0.594884i
$204$	−9.72106	−	5.71987i	−0.680610	−	0.400471i
$205$		−	1.99775i		−	0.139529i
$206$	−11.3289	−	3.03557i	−0.789322	−	0.211498i
$207$	20.9998	+	0.346443i	1.45959	+	0.0240794i
$208$	−34.4826	+	4.68338i	−2.39094	+	0.324734i
$209$	0.745924	−	0.430659i	0.0515966	−	0.0297893i
$210$	−0.289092	+	10.3334i	−0.0199493	+	0.713069i
$211$	−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
$213$	−5.53630	+	20.0004i	−0.379341	+	1.37041i
$214$	−5.84205	−	21.8028i	−0.399355	−	1.49041i
$215$	−1.64167	−	6.12678i	−0.111961	−	0.417843i
$216$	27.8118	−	26.4684i	1.89235	−	1.80094i
$217$	14.5641	+	4.21196i	0.988675	+	0.285926i
$218$	16.4024	+	28.4098i	1.11091	+	1.92415i
$219$	−14.4828	+	3.75289i	−0.978654	+	0.253597i
$220$			1.55519i			0.104851i
$221$	2.97641	+	3.84623i	0.200215	+	0.258725i
$222$	−0.310111	+	37.5976i	−0.0208133	+	2.52339i
$223$	9.59425	+	2.57077i	0.642478	+	0.172152i	0.565326	−	0.824868i	$-0.308750\pi$
$223$	9.59425	+	2.57077i	0.642478	+	0.172152i	0.0771527	+	0.997019i	$0.475417\pi$
$224$	−7.67503	+	26.5387i	−0.512810	+	1.77319i
$225$	−11.1578	+	6.19885i	−0.743855	+	0.413257i
$226$	−11.9655	−	44.6557i	−0.795930	−	2.97045i
$227$	−9.29944	+	2.49178i	−0.617225	+	0.165385i	−0.553866	−	0.832606i	$-0.686848\pi$
$227$	−9.29944	+	2.49178i	−0.617225	+	0.165385i	−0.0633593	+	0.997991i	$0.520181\pi$
$228$	−13.5352	−	13.7603i	−0.896390	−	0.911300i
$229$	7.06602	−	26.3708i	0.466936	−	1.74263i	−0.183455	−	0.983028i	$-0.558728\pi$
$229$	7.06602	−	26.3708i	0.466936	−	1.74263i	0.650390	−	0.759600i	$-0.274605\pi$
$230$	13.6768	+	7.89631i	0.901823	+	0.520667i
$231$	−1.63867	−	0.488588i	−0.107817	−	0.0321468i
$232$	−11.8503	+	44.2260i	−0.778012	+	2.90358i
$233$	−0.168738	+	0.292262i	−0.0110544	+	0.0191467i	−0.871500	−	0.490396i	$-0.836852\pi$
$233$	−0.168738	+	0.292262i	−0.0110544	+	0.0191467i	0.860445	+	0.509543i	$0.170185\pi$
$234$	−26.2445	+	10.4914i	−1.71566	+	0.685845i
$235$	−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
$239$	3.77602	−	1.01178i	0.244251	−	0.0654468i	−0.134617	−	0.990898i	$-0.542980\pi$
$239$	3.77602	−	1.01178i	0.244251	−	0.0654468i	0.378867	+	0.925451i	$0.376314\pi$
$240$	13.9704	−	3.62013i	0.901785	−	0.233678i
$241$	24.6054	−	6.59300i	1.58497	−	0.424692i	0.644513	−	0.764594i	$-0.277060\pi$
$241$	24.6054	−	6.59300i	1.58497	−	0.424692i	0.940461	+	0.339901i	$0.110394\pi$
$242$	27.4121	+	7.34505i	1.76212	+	0.472158i
$243$	8.34418	−	13.1672i	0.535280	−	0.844675i
$244$			3.46628i			0.221906i
$245$	−4.10131	−	4.43831i	−0.262023	−	0.283553i
$246$	0.0863812	−	10.4728i	0.00550746	−	0.667720i
$247$	3.21636	+	7.67597i	0.204652	+	0.488411i
$248$		−	42.3402i		−	2.68861i
$249$	5.16236	−	1.33771i	0.327151	−	0.0847741i
$250$	−20.8768			−1.32037
$251$	28.9588			1.82787			0.913933	−	0.405866i	$-0.133030\pi$
$251$	28.9588			1.82787			0.913933	+	0.405866i	$0.133030\pi$
$252$	−1.38751	+	38.2938i	−0.0874046	+	2.41228i
$253$	−1.84720	+	1.84720i	−0.116133	+	0.116133i
$254$	−7.63082	+	7.63082i	−0.478800	+	0.478800i
$255$	−1.41437	−	1.43790i	−0.0885715	−	0.0900447i
$256$	−16.0378			−1.00236
$257$	7.60611	+	13.1742i	0.474456	+	0.821782i	0.999572	−	0.0292484i	$-0.00931139\pi$
$257$	7.60611	+	13.1742i	0.474456	+	0.821782i	−0.525116	+	0.851031i	$0.675978\pi$
$258$	−8.34117	−	32.1894i	−0.519299	−	2.00402i
$259$	−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
$262$	−27.0281	−	7.24217i	−1.66980	−	0.447422i
$263$	−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
$265$	2.28828	+	8.53999i	0.140568	+	0.524608i
$266$	15.9547	+	0.314690i	0.978248	+	0.0192949i
$267$	13.3540	−	13.1355i	0.817248	−	0.803877i
$268$	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
$271$	−7.27712	+	1.94990i	−0.442053	+	0.118448i	−0.472979	−	0.881074i	$-0.656821\pi$
$271$	−7.27712	+	1.94990i	−0.442053	+	0.118448i	0.0309253	+	0.999522i	$0.490155\pi$
$272$	−6.50929	−	11.2744i	−0.394684	−	0.683612i
$273$	6.68560	−	15.1097i	0.404631	−	0.914480i
$274$	7.97759	−	13.8176i	0.481944	−	0.834751i
$275$	0.410906	−	1.53352i	0.0247786	−	0.0924749i
$276$	50.4545	+	29.6874i	3.03700	+	1.78697i
$277$	−9.20313	−	5.31343i	−0.552963	−	0.319253i	0.197353	−	0.980332i	$-0.436765\pi$
$277$	−9.20313	−	5.31343i	−0.552963	−	0.319253i	−0.750316	+	0.661079i	$0.770099\pi$
$278$	−3.78813	+	1.01503i	−0.227197	+	0.0608772i
$279$	−4.17481	−	16.6762i	−0.249940	−	0.998380i
$280$	−8.72497	+	14.4465i	−0.521416	+	0.863341i
$281$	12.9483	+	3.46949i	0.772432	+	0.206972i	0.623446	−	0.781867i	$-0.285732\pi$
$281$	12.9483	+	3.46949i	0.772432	+	0.206972i	0.148986	+	0.988839i	$0.452399\pi$
$282$	−1.60765	−	2.83834i	−0.0957341	−	0.169021i
$283$		−	22.9333i		−	1.36324i	−0.731704	−	0.681622i	$-0.761275\pi$
$283$		−	22.9333i		−	1.36324i	0.731704	−	0.681622i	$-0.238725\pi$
$284$	−40.9014	+	40.9014i	−2.42705	+	2.42705i
$285$	−1.70105	−	3.00324i	−0.100761	−	0.177897i
$286$	1.33202	−	3.25338i	0.0787639	−	0.192376i
$287$	4.24303	+	4.41377i	0.250458	+	0.260537i
$288$	30.3874	−	7.60735i	1.79060	−	0.448267i
$289$	7.59029	−	13.1468i	0.446488	−	0.773339i
$290$	−6.98922	+	12.1057i	−0.410421	+	0.710870i
$291$	−4.81434	−	18.5790i	−0.282222	−	1.08912i
$292$	−40.2800	−	10.7930i	−2.35721	−	0.631613i
$293$	1.59620	+	5.95708i	0.0932507	+	0.348016i	0.996748	−	0.0805765i	$-0.0256761\pi$
$293$	1.59620	+	5.95708i	0.0932507	+	0.348016i	−0.903498	+	0.428593i	$0.859009\pi$
$294$	−21.3083	−	23.4442i	−1.24273	−	1.36730i
$295$	4.32810	+	7.49649i	0.251992	+	0.436462i
$296$	−30.6919	+	53.1599i	−1.78393	+	3.08986i
$297$	0.455338	+	1.88469i	0.0264214	+	0.109361i
$298$	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
$301$	16.6397	+	10.0496i	0.959099	+	0.579250i
$302$	42.7281	+	24.6691i	2.45873	+	1.41955i
$303$	−6.26881	−	0.0517062i	−0.360134	−	0.00297044i
$304$	−5.76608	−	21.5193i	−0.330707	−	1.23422i
$305$	−0.160428	+	0.598725i	−0.00918607	+	0.0342829i
$306$	−7.35237	−	7.59903i	−0.420307	−	0.434408i
$307$	20.5593	+	20.5593i	1.17338	+	1.17338i	0.981398	+	0.191984i	$0.0614921\pi$
$307$	20.5593	+	20.5593i	1.17338	+	1.17338i	0.191984	+	0.981398i	$0.438508\pi$
$308$	−3.30307	−	3.43599i	−0.188210	−	0.195784i
$309$	−6.70053	−	3.94260i	−0.381180	−	0.224287i
$310$	3.34560	−	12.4860i	0.190017	−	0.709155i
$311$	−22.6547			−1.28463			−0.642314	−	0.766441i	$-0.722026\pi$
$311$	−22.6547			−1.28463			−0.642314	+	0.766441i	$0.722026\pi$
$312$	−45.7232	−	6.21295i	−2.58857	−	0.351739i
$313$	−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	$-0.172111\pi$
$317$	6.09998	+	6.09998i	0.342609	+	0.342609i	−0.514738	+	0.857347i	$0.672111\pi$
$318$	11.6266	+	44.8681i	0.651986	+	2.51608i
$319$	−1.63500	−	1.63500i	−0.0915426	−	0.0915426i
$320$	6.65532	+	1.78329i	0.372044	+	0.0996888i
$321$	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
$325$	14.1967	+	5.81252i	0.787494	+	0.322421i
$326$	20.3783	+	11.7654i	1.12865	+	0.651625i
$327$	5.45459	+	21.0498i	0.301640	+	1.16406i
$328$	8.54919	−	14.8076i	0.472050	−	0.817614i
$329$	1.83186	+	0.529778i	0.100994	+	0.0292076i
$330$	−0.388944	+	1.40510i	−0.0214107	+	0.0773482i
$331$	−17.5811	+	17.5811i	−0.966345	+	0.966345i	−0.999452	−	0.0331071i	$-0.989460\pi$
$331$	−17.5811	+	17.5811i	−0.966345	+	0.966345i	0.0331071	+	0.999452i	$0.489460\pi$
$332$	14.3578	+	3.84715i	0.787985	+	0.211140i
$333$	−6.84673	+	23.9639i	−0.375199	+	1.31322i
$334$	23.8049	−	41.2314i	1.30255	−	2.25608i
$335$	3.96866	+	6.87392i	0.216831	+	0.375562i
$336$	−23.1770	+	37.6700i	−1.26441	+	2.05507i
$337$	−9.53788	−	5.50670i	−0.519561	−	0.299969i	0.217194	−	0.976128i	$-0.430310\pi$
$337$	−9.53788	−	5.50670i	−0.519561	−	0.299969i	−0.736755	+	0.676160i	$0.763643\pi$
$338$	29.5560	+	16.7431i	1.60763	+	0.910703i
$339$	0.252754	−	30.6437i	0.0137277	−	1.66434i
$340$	−1.45502	−	5.43022i	−0.0789097	−	0.294495i
$341$	1.85176	+	1.06911i	0.100278	+	0.0578957i
$342$	−8.78753	−	15.8174i	−0.475175	−	0.855307i
$343$	18.4879	+	1.09509i	0.998250	+	0.0591295i
$344$	14.0507	−	52.4380i	0.757564	−	2.82727i
$345$	7.34091	+	7.46302i	0.395221	+	0.401795i
$346$	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
$349$	1.98589	−	7.41144i	0.106302	−	0.396725i	−0.892187	−	0.451665i	$-0.850830\pi$
$349$	1.98589	−	7.41144i	0.106302	−	0.396725i	0.998490	+	0.0549400i	$0.0174967\pi$
$350$	21.2051	−	20.3848i	1.13346	−	1.08961i
$351$	−18.6212	+	2.06133i	−0.993929	+	0.110026i
$352$	−1.94814	+	3.37427i	−0.103836	+	0.179849i
$353$	−6.94403	+	1.86065i	−0.369594	+	0.0990323i	−0.438835	−	0.898568i	$-0.644609\pi$
$353$	−6.94403	+	1.86065i	−0.369594	+	0.0990323i	0.0692415	+	0.997600i	$0.477942\pi$
$354$	22.3650	+	39.4859i	1.18869	+	2.09865i
$355$	−8.95786	+	5.17182i	−0.475434	+	0.274492i
$356$	50.4311	−	13.5130i	2.67284	−	0.716186i
$357$	6.17883	+	0.172863i	0.327018	+	0.00914887i
$358$	5.42200	−	20.2352i	0.286561	−	1.06946i
$359$	−0.843417	−	3.14768i	−0.0445138	−	0.166128i	0.940091	−	0.340924i	$-0.110740\pi$
$359$	−0.843417	−	3.14768i	−0.0445138	−	0.166128i	−0.984605	+	0.174796i	$0.944073\pi$
$360$	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
$364$	36.9705	−	27.4613i	1.93778	−	1.43936i
$365$	−6.45798	−	3.72852i	−0.338026	−	0.195160i
$366$	−0.866897	+	3.13175i	−0.0453134	+	0.163699i
$367$	−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
$369$	1.90715	−	6.67513i	0.0992822	−	0.347493i
$370$	−13.2514	+	13.2514i	−0.688910	+	0.688910i
$371$	−23.1938	−	14.0079i	−1.20416	−	0.727256i
$372$	12.7829	−	46.1794i	0.662762	−	2.39429i
$373$	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
$375$	−13.3369	−	3.69177i	−0.688714	−	0.190642i
$376$		−	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	−0.756839	−	0.653602i	$-0.773257\pi$
$379$	−2.00980	+	2.00980i	−0.103237	+	0.103237i	0.653602	+	0.756839i	$0.273257\pi$
$380$		−	9.62041i		−	0.493517i
$381$	−6.22426	+	3.52545i	−0.318878	+	0.180614i
$382$	−4.95557	+	4.95557i	−0.253549	+	0.253549i
$383$	4.33282	−	16.1703i	0.221397	−	0.826264i	−0.762419	−	0.647083i	$-0.775989\pi$
$383$	4.33282	−	16.1703i	0.221397	−	0.826264i	0.983816	−	0.179181i	$-0.0573447\pi$
$384$	−0.0483284	−	0.0133777i	−0.00246625	−	0.000682680i
$385$	−0.411508	−	0.746368i	−0.0209724	−	0.0380384i
$386$		−	27.2528i		−	1.38713i
$387$	0.363584	−	22.0388i	0.0184820	−	1.12029i
$388$	13.8456	−	51.6726i	0.702906	−	2.62328i
$389$	5.76171	−	9.97957i	0.292130	−	0.505984i	−0.682183	−	0.731181i	$-0.738969\pi$
$389$	5.76171	−	9.97957i	0.292130	−	0.505984i	0.974313	+	0.225197i	$0.0723026\pi$
$390$	−12.9926	−	5.44508i	−0.657908	−	0.275723i
$391$	4.72160	−	8.17806i	0.238782	−	0.413582i
$392$	−11.4062	−	50.4486i	−0.576099	−	2.54804i
$393$	−15.9859	−	9.40612i	−0.806382	−	0.474476i
$394$		−	37.1326i		−	1.87071i
$395$	2.07458	−	7.74245i	0.104384	−	0.389565i
$396$	−1.48466	+	5.19639i	−0.0746070	+	0.261129i
$397$	−2.90017	+	0.777098i	−0.145555	+	0.0390014i	−0.330861	−	0.943679i	$-0.607339\pi$
$397$	−2.90017	+	0.777098i	−0.145555	+	0.0390014i	0.185306	+	0.982681i	$0.440672\pi$
$398$	−55.6334	−	14.9069i	−2.78865	−	0.747216i
$399$	10.1368	+	3.02241i	0.507477	+	0.151310i
$400$	−35.5629	−	20.5323i	−1.77815	−	1.02661i
$401$	−7.00823	−	1.87785i	−0.349974	−	0.0937753i	0.0795494	−	0.996831i	$-0.474652\pi$
$401$	−7.00823	−	1.87785i	−0.349974	−	0.0937753i	−0.429524	+	0.903056i	$0.641319\pi$
$402$	20.5076	+	36.2067i	1.02283	+	1.80582i
$403$	−12.5103	+	16.4427i	−0.623184	+	0.819069i
$404$	−15.1326	−	8.73681i	−0.752875	−	0.434672i
$405$	7.56723	−	1.76230i	0.376019	−	0.0875694i
$406$	−10.2695	−	41.5904i	−0.509667	−	2.06410i
$407$	−1.54997	−	2.68463i	−0.0768292	−	0.133072i
$408$	−4.33019	−	16.7106i	−0.214376	−	0.827298i
$409$	−9.78266	+	9.78266i	−0.483721	+	0.483721i	−0.906318	−	0.422597i	$-0.861119\pi$
$409$	−9.78266	+	9.78266i	−0.483721	+	0.483721i	0.422597	+	0.906318i	$0.361119\pi$
$410$	3.69117	−	3.69117i	0.182294	−	0.182294i
$411$	7.53983	−	7.41647i	0.371912	−	0.365827i
$412$	−10.8348	−	18.7664i	−0.533790	−	0.924552i
$413$	−25.4842	−	7.37007i	−1.25400	−	0.362657i
$414$	38.1605	+	39.4407i	1.87548	+	1.93840i
$415$	2.30194	+	1.32902i	0.112998	+	0.0652392i
$416$	−29.9619	−	22.7963i	−1.46900	−	1.11768i
$417$	−2.59949	−	0.0214410i	−0.127298	−	0.00104997i
$418$	2.17393	+	0.582503i	0.106330	+	0.0284912i
$419$	−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
$421$	2.02659	+	0.543024i	0.0987701	+	0.0264654i	0.307866	−	0.951430i	$-0.400385\pi$
$421$	2.02659	+	0.543024i	0.0987701	+	0.0264654i	−0.209095	+	0.977895i	$0.567052\pi$
$422$	−13.2076	+	3.53897i	−0.642937	+	0.172275i
$423$	−0.525106	−	2.09753i	−0.0255315	−	0.101985i
$424$	−19.5850	+	73.0922i	−0.951132	+	3.54967i
$425$			5.73900i			0.278382i
$426$	−47.1833	+	26.7248i	−2.28604	+	1.29482i
$427$	−0.917189	−	1.66354i	−0.0443859	−	0.0805043i
$428$	20.8518	−	36.1165i	1.00791	−	1.74575i
$429$	1.42626	−	1.84283i	0.0688603	−	0.0889726i
$430$	8.28700	−	14.3535i	0.399634	−	0.692187i
$431$	2.05271	−	7.66083i	0.0988757	−	0.369009i	−0.898703	−	0.438558i	$-0.855489\pi$
$431$	2.05271	−	7.66083i	0.0988757	−	0.369009i	0.997579	+	0.0695490i	$0.0221560\pi$
$432$	50.1356	+	1.24080i	2.41215	+	0.0596982i
$433$			34.2932i			1.64803i	0.566570	+	0.824014i	$0.308270\pi$
$433$			34.2932i			1.64803i	−0.566570	+	0.824014i	$0.691730\pi$
$434$	19.1273	+	34.6919i	0.918139	+	1.66526i
$435$	−6.60570	+	6.49762i	−0.316719	+	0.311537i
$436$	−15.6870	+	58.5445i	−0.751269	+	2.80377i
$437$	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	$-0.683897\pi$
$439$		−	35.1037i		−	1.67541i	0.546124	−	0.837704i	$-0.316103\pi$
$440$	−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	$-0.409378\pi$
$444$	−49.5243	+	48.7140i	−2.35032	+	2.31186i
$445$	9.33630			0.442583
$446$	12.9770	+	22.4769i	0.614481	+	1.06431i
$447$	28.5338	−	7.39392i	1.34960	−	0.349721i
$448$	−18.4916	+	10.1953i	−0.873646	+	0.481683i
$449$	−23.4059	+	23.4059i	−1.10459	+	1.10459i	−0.110744	+	0.993849i	$0.535323\pi$
$449$	−23.4059	+	23.4059i	−1.10459	+	1.10459i	−0.993849	+	0.110744i	$0.964677\pi$
$450$	−32.0693	−	9.16252i	−1.51176	−	0.431925i
$451$	0.431742	+	0.747800i	0.0203300	+	0.0352125i
$452$	42.7079	−	73.9722i	2.00881	−	3.47936i
$453$	22.9339	+	23.3154i	1.07753	+	1.09545i
$454$	−21.7862	−	12.5783i	−1.02248	−	0.590328i
$455$	7.65683	−	3.03226i	0.358958	−	0.142154i
$456$	0.243650	−	29.5400i	0.0114100	−	1.38334i
$457$	4.40808	−	4.40808i	0.206201	−	0.206201i	−0.596449	−	0.802651i	$-0.703422\pi$
$457$	4.40808	−	4.40808i	0.206201	−	0.206201i	0.802651	+	0.596449i	$0.203422\pi$
$458$	61.7800	−	35.6687i	2.88679	−	1.66669i
$459$	−3.35319	−	6.15471i	−0.156513	−	0.287277i
$460$	7.55189	+	28.1840i	0.352109	+	1.31409i
$461$	0.111595	−	0.416478i	0.00519750	−	0.0193973i	−0.963278	−	0.268505i	$-0.913471\pi$
$461$	0.111595	−	0.416478i	0.00519750	−	0.0193973i	0.968476	+	0.249107i	$0.0801372\pi$
$462$	−2.12497	−	3.93047i	−0.0988627	−	0.182862i
$463$	−20.5318	+	5.50147i	−0.954193	+	0.255675i	−0.702140	−	0.712038i	$-0.747772\pi$
$463$	−20.5318	+	5.50147i	−0.954193	+	0.255675i	−0.252052	+	0.967714i	$0.581105\pi$
$464$	−51.7946	+	29.9036i	−2.40450	+	1.38824i
$465$	4.34526	−	7.38488i	0.201507	−	0.342465i
$466$	−0.851774	+	0.228232i	−0.0394577	+	0.0105726i
$467$	16.1985	−	28.0566i	0.749576	−	1.29830i	−0.198450	−	0.980111i	$-0.563591\pi$
$467$	16.1985	−	28.0566i	0.749576	−	1.29830i	0.948026	−	0.318193i	$-0.103076\pi$
$468$	−47.9934	−	20.5805i	−2.21849	−	0.951335i
$469$	−23.3678	−	6.75800i	−1.07902	−	0.312055i
$470$	0.420808	−	1.57048i	0.0194104	−	0.0724407i
$471$	0.323447	+	0.571052i	0.0149036	+	0.0263127i
$472$			74.0868i			3.41012i
$473$	1.93860	+	1.93860i	0.0891367	+	0.0891367i
$474$	11.2103	−	40.4985i	0.514908	−	1.86016i
$475$	−2.54187	+	9.48638i	−0.116629	+	0.435265i
$476$	14.7479	+	8.90704i	0.675971	+	0.408254i
$477$	−0.506792	+	30.7194i	−0.0232044	+	1.40654i
$478$	8.84626	+	5.10739i	0.404619	+	0.233607i
$479$	−0.939371	−	3.50578i	−0.0429210	−	0.160183i	0.941139	−	0.338019i	$-0.109757\pi$
$479$	−0.939371	−	3.50578i	−0.0429210	−	0.160183i	−0.984060	+	0.177836i	$0.943090\pi$
$480$	13.4567	+	7.91794i	0.614213	+	0.361403i
$481$	27.6263	−	11.5759i	1.25965	−	0.527815i
$482$	57.6442	+	33.2809i	2.62562	+	1.51590i
$483$	−32.0695	−	0.897197i	−1.45921	−	0.0408239i
$484$	26.2164	+	45.4082i	1.19166	+	2.06401i
$485$	4.78307	−	8.28452i	0.217188	−	0.376181i
$486$	39.7458	−	8.91129i	1.80291	−	0.404224i
$487$	−23.8454	−	6.38935i	−1.08054	−	0.289529i	−0.325722	−	0.945466i	$-0.605607\pi$
$487$	−23.8454	−	6.38935i	−1.08054	−	0.289529i	−0.754816	+	0.655937i	$0.772274\pi$
$488$	−3.75130	+	3.75130i	−0.169813	+	0.169813i
$489$	10.9379	+	11.1198i	0.494627	+	0.502855i
$490$	0.622664	−	15.7784i	0.0281291	−	0.712794i
$491$	0.891459	−	1.54405i	0.0402310	−	0.0696821i	−0.845209	−	0.534436i	$-0.820524\pi$
$491$	0.891459	−	1.54405i	0.0402310	−	0.0696821i	0.885440	+	0.464754i	$0.153857\pi$
$492$	13.7949	−	13.5692i	0.621923	−	0.611748i
$493$	7.23859	+	4.17920i	0.326010	+	0.188222i
$494$	−8.23987	+	20.1254i	−0.370729	+	0.905484i
$495$	−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
$499$	−40.5287	−	10.8596i	−1.81432	−	0.486144i	−0.818257	−	0.574852i	$-0.805060\pi$
$499$	−40.5287	−	10.8596i	−1.81432	−	0.486144i	−0.996058	+	0.0887076i	$0.971726\pi$
$500$	−27.2743	−	27.2743i	−1.21975	−	1.21975i
$501$	22.4987	−	22.1306i	1.00517	−	0.988721i
$502$	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
$507$	15.9207	+	15.9227i	0.707063	+	0.707151i
$508$	−19.9384			−0.884625
$509$	−8.99754	+	33.5793i	−0.398809	+	1.48838i	0.416385	+	0.909188i	$0.363297\pi$
$509$	−8.99754	+	33.5793i	−0.398809	+	1.48838i	−0.815194	+	0.579187i	$0.803370\pi$
$510$	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
$513$	−2.81672	−	11.6587i	−0.124361	−	0.514744i
$514$	−10.2879	+	38.3950i	−0.453780	+	1.69353i
$515$	−1.00292	−	3.74294i	−0.0441939	−	0.164934i
$516$	31.1563	−	52.9508i	1.37158	−	2.33103i
$517$	0.232913	+	0.134472i	0.0102435	+	0.00591409i
$518$	1.13259	−	57.4221i	0.0497631	−	2.52298i
$519$	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	$0.971370\pi$
$522$	−34.9099	+	33.7768i	−1.52797	+	1.47837i
$523$	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
$525$	17.1514	−	9.27274i	0.748547	−	0.404695i
$526$	−9.44361	−	35.2440i	−0.411761	−	1.53671i
$527$	−7.46598	−	2.00050i	−0.325223	−	0.0871433i
$528$	−4.44705	+	4.37429i	−0.193533	+	0.190367i
$529$	−13.0062	+	22.5274i	−0.565486	+	0.979450i
$530$	−11.5511	+	20.0070i	−0.501746	+	0.869050i
$531$	7.30507	+	29.1800i	0.317013	+	1.26630i
$532$	20.4328	+	21.2551i	0.885875	+	0.921524i
$533$	−7.69528	+	3.22445i	−0.333319	+	0.139667i
$534$	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
$538$	−31.8764	−	8.54127i	−1.37429	−	0.368240i
$539$	2.49439	+	0.775001i	0.107441	+	0.0333816i
$540$	20.7735	+	6.12096i	0.893949	+	0.263404i
$541$	−25.3645	+	6.79639i	−1.09050	+	0.292200i	−0.758892	−	0.651216i	$-0.774259\pi$
$541$	−25.3645	+	6.79639i	−1.09050	+	0.292200i	−0.331612	+	0.943416i	$0.607592\pi$
$542$	−17.0484	−	9.84292i	−0.732293	−	0.422790i
$543$	−32.0531	+	18.1550i	−1.37553	+	0.779106i
$544$	3.64532	−	13.6045i	0.156292	−	0.583289i
$545$	−5.41916	+	9.38627i	−0.232131	+	0.402064i
$546$	40.2704	−	15.5649i	1.72341	−	0.666116i
$547$	−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	$0.852251\pi$
$548$	28.4741	−	7.62962i	1.21635	−	0.325921i
$549$	−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
$552$	22.4747	+	86.7317i	0.956585	+	3.69155i
$553$	11.8607	+	21.5122i	0.504368	+	0.914790i
$554$	−7.18687	−	26.8218i	−0.305341	−	1.13955i
$555$	−10.8089	+	6.12219i	−0.458810	+	0.259872i
$556$	−6.27504	−	3.62290i	−0.266121	−	0.153645i
$557$	−18.9013	−	5.06458i	−0.800872	−	0.214593i	−0.164905	−	0.986309i	$-0.552732\pi$
$557$	−18.9013	−	5.06458i	−0.800872	−	0.214593i	−0.635967	+	0.771716i	$0.719399\pi$
$558$	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
$561$	0.840180	+	0.232569i	0.0354724	+	0.00981909i
$562$	17.5137	+	30.3346i	0.738771	+	1.27959i
$563$	−31.3794			−1.32249			−0.661243	−	0.750172i	$-0.729971\pi$
$563$	−31.3794			−1.32249			−0.661243	+	0.750172i	$0.729971\pi$
$564$	1.60782	−	5.80842i	0.0677016	−	0.244579i
$565$	10.8005	−	10.8005i	0.454380	−	0.454380i
$566$	42.3731	−	42.3731i	1.78107	−	1.78107i
$567$	−12.9759	+	19.9656i	−0.544935	+	0.838478i
$568$	−88.5293			−3.71461
$569$	−25.7916			−1.08124			−0.540620	−	0.841267i	$-0.681810\pi$
$569$	−25.7916			−1.08124			−0.540620	+	0.841267i	$0.681810\pi$
$570$	2.40601	−	8.69195i	0.100777	−	0.364066i
$571$			9.45861i			0.395831i	0.980219	+	0.197915i	$0.0634171\pi$
$571$			9.45861i			0.395831i	−0.980219	+	0.197915i	$0.936583\pi$
$572$	5.99055	−	2.51014i	0.250477	−	0.104954i
$573$	−4.04213	+	2.28948i	−0.168862	+	0.0956444i
$574$	−0.315481	+	15.9949i	−0.0131679	+	0.667613i
$575$		−	29.7867i		−	1.24219i
$576$	20.5352	+	12.3120i	0.855632	+	0.513001i
$577$	34.4371	+	9.22740i	1.43364	+	0.384142i	0.890301	−	0.455373i	$-0.150494\pi$
$577$	34.4371	+	9.22740i	1.43364	+	0.384142i	0.543336	+	0.839515i	$0.317161\pi$
$578$	38.3151	−	10.2665i	1.59370	−	0.427031i
$579$	4.81927	−	17.4101i	0.200282	−	0.723539i
$580$	−24.9464	+	6.68436i	−1.03584	+	0.277553i
$581$	−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
$585$	−7.33730	−	5.77609i	−0.303360	−	0.238812i
$586$	−8.05746	+	13.9559i	−0.332851	+	0.576514i
$587$	−5.58326	+	20.8370i	−0.230446	+	0.860035i	0.749704	+	0.661774i	$0.230196\pi$
$587$	−5.58326	+	20.8370i	−0.230446	+	0.860035i	−0.980149	+	0.198261i	$0.936471\pi$
$588$	2.79043	−	58.4666i	0.115075	−	2.41112i
$589$	−11.4550	−	6.61353i	−0.471994	−	0.272506i
$590$	−5.85412	+	21.8479i	−0.241010	+	0.899463i
$591$	6.56638	−	23.7217i	0.270105	−	0.975780i
$592$	−77.4493	+	20.7525i	−3.18315	+	0.852921i
$593$	5.28252	+	19.7146i	0.216927	+	0.809582i	0.985479	+	0.169795i	$0.0543107\pi$
$593$	5.28252	+	19.7146i	0.216927	+	0.809582i	−0.768552	+	0.639787i	$0.779023\pi$
$594$	−2.64097	+	4.32359i	−0.108360	+	0.177399i
$595$	2.13515	+	2.22107i	0.0875325	+	0.0910550i
$596$	79.3595	+	21.2643i	3.25069	+	0.871020i
$597$	−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	$0.856159\pi$
$600$	−38.1839	−	38.8191i	−1.55885	−	1.58478i
$601$	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
$603$	6.69840	+	26.7567i	0.272780	+	1.08962i
$604$	23.5931	+	88.0505i	0.959988	+	3.58273i
$605$	2.42672	+	9.05665i	0.0986603	+	0.368205i
$606$	−11.4871	−	11.6782i	−0.466633	−	0.474395i
$607$	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
$609$	0.794131	−	28.3855i	0.0321798	−	1.15024i
$610$	−1.40266	+	0.809826i	−0.0567920	+	0.0327889i
$611$	−1.57354	+	2.06815i	−0.0636587	+	0.0836685i
$612$	0.322247	−	19.5331i	0.0130261	−	0.789581i
$613$	43.1965	+	11.5745i	1.74469	+	0.467488i	0.983480	−	0.181018i	$-0.0579392\pi$
$613$	43.1965	+	11.5745i	1.74469	+	0.467488i	0.761209	+	0.648506i	$0.224606\pi$
$614$			75.9734i			3.06604i
$615$	3.01079	−	1.70533i	0.121407	−	0.0687654i
$616$	0.143850	−	7.29320i	0.00579590	−	0.293852i
$617$	−3.04953	+	0.817118i	−0.122769	+	0.0328959i	−0.319681	−	0.947525i	$-0.603576\pi$
$617$	−3.04953	+	0.817118i	−0.122769	+	0.0328959i	0.196911	+	0.980421i	$0.436909\pi$
$618$	−5.09574	−	19.6649i	−0.204981	−	0.791040i
$619$	−7.19248	+	1.92722i	−0.289090	+	0.0774615i	−0.400450	−	0.916319i	$-0.631146\pi$
$619$	−7.19248	+	1.92722i	−0.289090	+	0.0774615i	0.111360	+	0.993780i	$0.464479\pi$
$620$	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
$624$	−36.4934	−	47.9706i	−1.46091	−	1.92036i
$625$	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
$630$	−15.8201	+	8.38511i	−0.630288	+	0.334071i
$631$	26.6733	+	26.6733i	1.06185	+	1.06185i	0.997957	+	0.0638888i	$0.0203503\pi$
$631$	26.6733	+	26.6733i	1.06185	+	1.06185i	0.0638888	+	0.997957i	$0.479650\pi$
$632$	48.5102	−	48.5102i	1.92963	−	1.92963i
$633$	−9.06335	−	0.0747560i	−0.360236	−	0.00297128i
$634$			22.5414i			0.895235i
$635$	−3.44393	−	0.922800i	−0.136668	−	0.0366202i
$636$	−43.4280	+	73.8070i	−1.72203	+	2.92664i
$637$	−10.4766	+	22.9617i	−0.415096	+	0.909777i
$638$		−	6.04188i		−	0.239200i
$639$	−34.8684	+	8.72913i	−1.37937	+	0.345319i
$640$	−0.0124970	−	0.0216455i	−0.000493988	−	0.000855613i
$641$	12.2881	−	21.2836i	0.485351	−	0.840652i	−0.514508	−	0.857486i	$-0.672025\pi$
$641$	12.2881	−	21.2836i	0.485351	−	0.840652i	0.999858	+	0.0168338i	$0.00535863\pi$
$642$	27.8720	−	27.4159i	1.10002	−	1.08202i
$643$	2.34274	+	8.74324i	0.0923888	+	0.344800i	0.996611	−	0.0822634i	$-0.0262149\pi$
$643$	2.34274	+	8.74324i	0.0923888	+	0.344800i	−0.904222	+	0.427063i	$0.859548\pi$
$644$	−76.5451	−	46.2295i	−3.01630	−	1.82170i
$645$	7.83226	−	7.70411i	0.308395	−	0.303349i
$646$	−8.13565			−0.320093
$647$	−9.68039	−	16.7669i	−0.380575	−	0.659176i	0.610569	−	0.791963i	$-0.290941\pi$
$647$	−9.68039	−	16.7669i	−0.380575	−	0.659176i	−0.991145	+	0.132787i	$0.957607\pi$
$648$	63.6311	+	19.3208i	2.49966	+	0.758994i
$649$	−3.24020	−	1.87073i	−0.127189	−	0.0734325i
$650$	15.4912	+	36.9704i	0.607616	+	1.45010i
$651$	6.08445	+	25.5449i	0.238469	+	1.00118i
$652$	11.2522	+	41.9938i	0.440671	+	1.64461i
$653$	−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
$655$	−2.39273	−	8.92979i	−0.0934916	−	0.348916i
$656$	21.5734	−	5.78058i	0.842300	−	0.225694i
$657$	−18.0188	−	18.6233i	−0.702980	−	0.726564i
$658$	2.40582	+	4.36352i	0.0937886	+	0.170108i
$659$	−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	0.225328	−	0.974283i	$-0.427655\pi$
$661$	−19.2556	−	19.2556i	−0.748955	−	0.748955i	−0.974283	+	0.225328i	$0.927655\pi$
$662$	−64.9680			−2.52505
$663$	−3.25589	+	7.76895i	−0.126448	+	0.301721i
$664$	11.3749	+	19.7019i	0.441431	+	0.764580i
$665$	2.54559	+	4.61704i	0.0987138	+	0.179041i
$666$	−56.9278	+	31.6269i	−2.20591	+	1.22552i
$667$	−37.5699	−	21.6910i	−1.45471	−	0.839879i
$668$	84.9661	−	22.7666i	3.28744	−	0.880866i
$669$	4.31549	+	16.6539i	0.166847	+	0.643877i
$670$	−5.36795	+	20.0335i	−0.207382	+	0.773960i
$671$	−0.0693415	−	0.258786i	−0.00267690	−	0.00999032i
$672$	−46.5479	+	11.0871i	−1.79562	+	0.427694i
$673$	24.4073	−	14.0916i	0.940832	−	0.543189i	0.0506108	−	0.998718i	$-0.483883\pi$
$673$	24.4073	−	14.0916i	0.940832	−	0.543189i	0.890221	+	0.455529i	$0.150550\pi$
$674$	−7.44827	−	27.7973i	−0.286897	−	1.07071i
$675$	−18.8668	−	11.5244i	−0.726185	−	0.443573i
$676$	16.7393	+	60.4870i	0.643820	+	2.32642i
$677$		−	0.751004i		−	0.0288634i	−0.999896	−	0.0144317i	$-0.995406\pi$
$677$		−	0.751004i		−	0.0288634i	0.999896	−	0.0144317i	$-0.00459392\pi$
$678$	57.0862	−	56.1522i	2.19238	−	2.15651i
$679$	7.02794	+	28.4624i	0.269707	+	1.09229i
$680$	4.30206	−	7.45139i	0.164977	−	0.285748i
$681$	−11.6936	−	11.8881i	−0.448098	−	0.455552i
$682$	1.44607	+	5.39679i	0.0553727	+	0.206654i
$683$	39.3309	+	10.5387i	1.50495	+	0.403251i	0.914756	−	0.404007i	$-0.132383\pi$
$683$	39.3309	+	10.5387i	1.50495	+	0.403251i	0.590199	+	0.807258i	$0.299049\pi$
$684$	9.18411	−	32.1449i	0.351163	−	1.22909i
$685$	5.27141			0.201410
$686$	32.1360	+	36.1827i	1.22696	+	1.38146i
$687$	45.7749	−	11.8616i	1.74642	−	0.452547i
$688$	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	−0.936315	−	0.351162i	$-0.885787\pi$
$691$	−15.3818	+	15.3818i	−0.585152	+	0.585152i	0.351162	+	0.936315i	$0.385787\pi$
$692$			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
$696$	−76.7684	+	19.8929i	−2.90990	+	0.754037i
$697$	−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
$700$	54.3347	+	1.07169i	2.05366	+	0.0405062i
$701$	1.89664			0.0716350			0.0358175	−	0.999358i	$-0.488597\pi$
$701$	1.89664			0.0716350			0.0358175	+	0.999358i	$0.488597\pi$
$702$	−38.2145	−	30.5972i	−1.44231	−	1.15482i
$703$	9.58812	+	16.6071i	0.361623	+	0.626349i
$704$	−2.87662	+	0.770788i	−0.108417	+	0.0290502i
$705$	0.546545	−	0.928866i	0.0205841	−	0.0349831i
$706$	−16.2681	−	9.39240i	−0.612258	−	0.353487i
$707$	9.57423	+	0.188841i	0.360076	+	0.00710211i
$708$	−22.3674	+	80.8046i	−0.840620	+	3.03682i
$709$	17.5735	+	17.5735i	0.659988	+	0.659988i	0.955377	−	0.295389i	$-0.0954494\pi$
$709$	17.5735	+	17.5735i	0.659988	+	0.659988i	−0.295389	+	0.955377i	$0.595449\pi$
$710$	−26.1069	−	6.99533i	−0.979775	−	0.262530i
$711$	14.3232	−	23.8895i	0.537161	−	0.895928i
$712$	69.2021	+	39.9538i	2.59346	+	1.49733i
$713$	38.7501	+	10.3831i	1.45120	+	0.388849i
$714$	11.0970	+	11.7358i	0.415296	+	0.439202i
$715$	1.15091	−	0.156316i	0.0430417	−	0.00584587i
$716$	33.5196	−	19.3525i	1.25269	−	0.723239i
$717$	4.74815	+	4.82713i	0.177323	+	0.180273i
$718$	4.25750	−	7.37420i	0.158888	−	0.275203i
$719$	−15.9590	+	27.6417i	−0.595168	+	1.03086i	0.398355	+	0.917231i	$0.369581\pi$
$719$	−15.9590	+	27.6417i	−0.595168	+	1.03086i	−0.993523	+	0.113630i	$0.963752\pi$
$720$	17.3813	+	17.9644i	0.647764	+	0.669495i
$721$	10.1655	+	6.13945i	0.378582	+	0.228645i
$722$	34.5072	+	9.24619i	1.28423	+	0.344108i
$723$	30.9400	+	31.4547i	1.15067	+	1.16981i
$724$	−102.677			−3.81596
$725$	26.3649			0.979169
$726$	12.3300	+	47.5825i	0.457608	+	1.76595i
$727$	−27.0064	+	15.5921i	−1.00161	+	0.578281i	−0.908725	−	0.417396i	$-0.862943\pi$
$727$	−27.0064	+	15.5921i	−1.00161	+	0.578281i	−0.0928866	+	0.995677i	$0.529609\pi$
$728$	69.7298	+	10.2911i	2.58436	+	0.381415i
$729$	26.9669	+	1.33563i	0.998776	+	0.0494677i
$730$	−5.04314	−	18.8212i	−0.186655	−	0.696605i
$731$	−8.58268	−	4.95521i	−0.317442	−	0.183275i
$732$	−5.22400	+	2.95890i	−0.193085	+	0.109364i
$733$	−14.0236	−	3.75760i	−0.517972	−	0.138790i	−0.00964344	−	0.999954i	$-0.503070\pi$
$733$	−14.0236	−	3.75760i	−0.517972	−	0.138790i	−0.508328	+	0.861163i	$0.669736\pi$
$734$	−24.0081	+	6.43295i	−0.886155	+	0.237445i
$735$	3.18796	−	9.96970i	0.117590	−	0.367738i
$736$	−18.9200	+	70.6105i	−0.697401	+	2.60274i
$737$	−2.97111	−	1.71537i	−0.109442	−	0.0631864i
$738$	15.8572	−	8.80963i	0.583711	−	0.324287i
$739$	−3.34230	+	12.4736i	−0.122948	+	0.458850i	−0.999758	−	0.0219876i	$-0.993001\pi$
$739$	−3.34230	+	12.4736i	−0.122948	+	0.458850i	0.876810	+	0.480837i	$0.159667\pi$
$740$	−34.6245			−1.27282
$741$	−8.82283	+	11.3998i	−0.324115	+	0.418780i
$742$	−16.9724	−	68.7363i	−0.623076	−	2.52339i
$743$	35.4821	−	9.50740i	1.30171	−	0.348793i	0.459615	−	0.888118i	$-0.347987\pi$
$743$	35.4821	−	9.50740i	1.30171	−	0.348793i	0.842097	+	0.539326i	$0.181321\pi$
$744$	63.8106	−	36.1427i	2.33941	−	1.32505i
$745$	12.7235	+	7.34590i	0.466152	+	0.269133i
$746$	−4.69722	+	17.5303i	−0.171978	+	0.641829i
$747$	6.42277	+	6.63824i	0.234997	+	0.242881i
$748$	1.71819	+	1.71819i	0.0628233	+	0.0628233i
$749$	−0.450701	+	22.8505i	−0.0164683	+	0.834939i
$750$	−17.8210	−	31.4633i	−0.650729	−	1.14888i
$751$	−31.1434	+	17.9806i	−1.13644	+	0.656122i	−0.945546	−	0.325489i	$-0.894471\pi$
$751$	−31.1434	+	17.9806i	−1.13644	+	0.656122i	−0.190891	+	0.981611i	$0.561138\pi$
$752$	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
$756$	−58.8967	+	30.5974i	−2.14205	+	1.11282i
$757$	−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
$759$	−4.36072	−	1.20709i	−0.158284	−	0.0438145i
$760$	10.4115	−	10.4115i	0.377664	−	0.377664i
$761$	47.5699	+	12.7463i	1.72441	+	0.462053i	0.978882	−	0.204425i	$-0.0655324\pi$
$761$	47.5699	+	12.7463i	1.72441	+	0.462053i	0.745524	+	0.666478i	$0.232199\pi$
$762$	−18.0142	−	4.98649i	−0.652585	−	0.180642i
$763$	−7.96257	−	32.2475i	−0.288264	−	1.16744i
$764$	−12.9483			−0.468454
$765$	0.959703	−	3.35901i	0.0346981	−	0.121445i
$766$	37.8829	−	21.8717i	1.36877	−	0.790257i
$767$	21.8905	−	28.7714i	0.790421	−	1.03887i
$768$	−13.6903	−	24.1705i	−0.494005	−	0.872177i
$769$	−6.59163	−	24.6003i	−0.237700	−	0.887109i	−0.976913	−	0.213637i	$-0.931469\pi$
$769$	−6.59163	−	24.6003i	−0.237700	−	0.887109i	0.739213	−	0.673472i	$-0.235198\pi$
$770$	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
$773$	6.22933	−	23.2482i	0.224053	−	0.836179i	−0.758728	−	0.651407i	$-0.774179\pi$
$773$	6.22933	−	23.2482i	0.224053	−	0.836179i	0.982782	−	0.184771i	$-0.0591544\pi$
$774$	41.3921	−	40.0485i	1.48781	−	1.43951i
$775$	−23.5499	+	6.31019i	−0.845939	+	0.226669i
$776$	70.9057	−	40.9374i	2.54537	−	1.46957i
$777$	10.8778	−	36.4831i	0.390241	−	1.30883i
$778$	29.0846	−	7.79320i	1.04273	−	0.279400i
$779$	−2.67076	−	4.62589i	−0.0956899	−	0.165740i
$780$	−9.86044	−	24.0878i	−0.353061	−	0.862482i
$781$	2.23541	−	3.87184i	0.0799892	−	0.138545i
$782$	23.8343	−	6.38637i	0.852311	−	0.228376i
$783$	−28.2747	+	15.4045i	−1.01046	+	0.550513i
$784$	36.0613	−	57.1319i	1.28790	−	2.04042i
$785$	−0.0846633	+	0.315968i	−0.00302176	+	0.0112774i
$786$	−12.1573	−	46.9160i	−0.433635	−	1.67344i
$787$	1.09832	+	1.09832i	0.0391510	+	0.0391510i	0.726411	−	0.687260i	$-0.241187\pi$
$787$	1.09832	+	1.09832i	0.0391510	+	0.0391510i	−0.687260	+	0.726411i	$0.741187\pi$
$788$	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
$791$	−0.923107	+	46.8015i	−0.0328219	+	1.66407i
$792$	−7.23042	+	4.01694i	−0.256922	+	0.142736i
$793$	2.56521	−	0.348403i	0.0910932	−	0.0123722i
$794$	−6.79436	−	3.92273i	−0.241123	−	0.139212i
$795$	−10.9172	+	10.7386i	−0.387194	+	0.380859i
$796$	−53.2067	−	92.1568i	−1.88586	−	3.26641i
$797$	−9.98352	+	17.2920i	−0.353634	+	0.612513i	−0.986883	−	0.161435i	$-0.948388\pi$
$797$	−9.98352	+	17.2920i	−0.353634	+	0.612513i	0.633249	+	0.773948i	$0.281721\pi$
$798$	13.1451	+	24.3139i	0.465331	+	0.860703i
$799$	−0.939067	−	0.251622i	−0.0332218	−	0.00890176i
$800$	−11.4984	−	42.9127i	−0.406531	−	1.51719i
$801$	31.1956	+	8.91288i	1.10224	+	0.314921i
$802$	−9.47922	−	16.4185i	−0.334723	−	0.579757i
$803$	3.22314			0.113742
$804$	−20.5099	+	74.0940i	−0.723328	+	2.61309i
$805$	−11.0819	−	11.5278i	−0.390585	−	0.406303i
$806$	−53.4955	+	7.26569i	−1.88430	+	0.255923i
$807$	−18.8535	−	11.0934i	−0.663674	−	0.390506i
$808$	−6.92170	−	25.8321i	−0.243504	−	0.908771i
$809$	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	−0.810606	−	0.585591i	$-0.800862\pi$
$811$	−6.40799	+	6.40799i	−0.225015	+	0.225015i	0.585591	+	0.810606i	$0.300862\pi$
$812$	40.9189	−	67.7519i	1.43597	−	2.37763i
$813$	−9.15060	−	9.30281i	−0.320926	−	0.326264i
$814$	2.09647	−	7.82412i	0.0734811	−	0.274235i
$815$			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
$819$	28.4787	−	2.82218i	0.995126	−	0.0986148i
$820$	9.64461			0.336804
$821$	−3.85252	−	3.85252i	−0.134454	−	0.134454i	0.636677	−	0.771131i	$-0.280309\pi$
$821$	−3.85252	−	3.85252i	−0.134454	−	0.134454i	−0.771131	+	0.636677i	$0.780309\pi$
$822$	27.6342	+	0.227932i	0.963854	+	0.00795003i
$823$			18.7909i			0.655011i	0.944849	+	0.327506i	$0.106208\pi$
$823$			18.7909i			0.655011i	−0.944849	+	0.327506i	$0.893792\pi$
$824$	8.58379	−	32.0351i	0.299031	−	1.11600i
$825$	2.66192	−	0.689779i	0.0926761	−	0.0240150i
$826$	−33.4688	−	60.7037i	−1.16453	−	2.11215i
$827$	−25.3536	+	25.3536i	−0.881633	+	0.881633i	−0.993701	−	0.112068i	$-0.964253\pi$
$827$	−25.3536	+	25.3536i	−0.881633	+	0.881633i	0.112068	+	0.993701i	$0.464253\pi$
$828$	−1.67253	+	101.381i	−0.0581246	+	3.52325i
$829$	−36.1811	+	20.8892i	−1.25662	+	0.725511i	−0.972416	−	0.233252i	$-0.925063\pi$
$829$	−36.1811	+	20.8892i	−1.25662	+	0.725511i	−0.284206	+	0.958763i	$0.591730\pi$
$830$	1.79762	+	6.70880i	0.0623962	+	0.232866i
$831$	0.151813	−	18.4056i	0.00526633	−	0.638485i
$832$	−3.87279	−	28.5144i	−0.134265	−	0.988559i
$833$	−9.43467	−	0.372322i	−0.326892	−	0.0129002i
$834$	−4.76338	−	4.84261i	−0.164942	−	0.167686i
$835$	15.7298			0.544351
$836$	2.07911	+	3.60112i	0.0719075	+	0.124547i
$837$	21.5689	−	20.5271i	0.745530	−	0.709519i
$838$	−7.47968	−	27.9146i	−0.258381	−	0.964292i
$839$	55.1488	+	14.7771i	1.90395	+	0.510161i	0.995805	+	0.0914998i	$0.0291661\pi$
$839$	55.1488	+	14.7771i	1.90395	+	0.510161i	0.908142	+	0.418661i	$0.137501\pi$
$840$	−29.2200	−	0.817476i	−1.00819	−	0.0282056i
$841$	4.69923	−	8.13931i	0.162043	−	0.280666i
$842$	2.74114	+	4.74779i	0.0944659	+	0.163620i
$843$	5.82415	+	22.4759i	0.200595	+	0.774113i
$844$	−21.8785	−	12.6315i	−0.753088	−	0.434795i
$845$	0.0918690	+	11.2226i	0.00316039	+	0.386068i
$846$	2.90531	−	4.84575i	0.0998866	−	0.166600i
$847$	−24.5970	−	14.8554i	−0.845162	−	0.510437i
$848$	−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
$852$	−96.5567	−	26.7278i	−3.30798	−	0.915678i
$853$	8.23276	−	30.7251i	0.281884	−	1.05201i	−0.669202	−	0.743081i	$-0.733364\pi$
$853$	8.23276	−	30.7251i	0.281884	−	1.05201i	0.951086	−	0.308926i	$-0.0999694\pi$
$854$	1.37901	−	4.76832i	0.0471886	−	0.163169i
$855$	3.07410	−	5.12728i	0.105132	−	0.175349i
$856$	61.6527	−	16.5198i	2.10724	−	0.564634i
$857$	15.1236	−	26.1948i	0.516612	−	0.894799i	−0.483201	−	0.875509i	$-0.660526\pi$
$857$	15.1236	−	26.1948i	0.516612	−	0.894799i	0.999814	−	0.0192898i	$-0.00614052\pi$
$858$	6.04018	−	0.769686i	0.206208	−	0.0262767i
$859$	−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	$0.956859\pi$
$860$	29.5785	−	7.92553i	1.00862	−	0.270258i
$861$	−3.03001	+	10.1623i	−0.103262	+	0.346331i
$862$	17.9474	−	10.3619i	0.611290	−	0.352928i
$863$	29.2155	−	7.82826i	0.994506	−	0.266477i	0.275364	−	0.961340i	$-0.411202\pi$
$863$	29.2155	−	7.82826i	0.994506	−	0.266477i	0.719142	+	0.694863i	$0.244535\pi$
$864$	37.4044	+	39.3029i	1.27252	+	1.33711i
$865$	−0.741654	+	2.76789i	−0.0252170	+	0.0941111i
$866$	−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
$869$	0.896694	+	3.34651i	0.0304183	+	0.113523i
$870$	−24.2105	−	0.199692i	−0.820814	−	0.00677021i
$871$	20.0726	−	26.3820i	0.680133	−	0.893919i
$872$	−80.3353	+	46.3816i	−2.72050	+	1.57068i
$873$	23.8906	−	23.1151i	0.808574	−	0.782328i
$874$	42.2258			1.42831
$875$	20.3064	+	5.87264i	0.686482	+	0.198532i
$876$	−18.1180	−	69.9189i	−0.612149	−	2.36234i
$877$	3.10947	+	0.833179i	0.104999	+	0.0281345i	0.310936	−	0.950431i	$-0.399357\pi$
$877$	3.10947	+	0.833179i	0.104999	+	0.0281345i	−0.205937	+	0.978565i	$0.566024\pi$
$878$	64.8599	−	64.8599i	2.18892	−	2.18892i
$879$	−7.61532	+	7.49072i	−0.256858	+	0.252656i
$880$	−3.10912			−0.104808
$881$	40.1970			1.35427			0.677135	−	0.735858i	$-0.263221\pi$
$881$	40.1970			1.35427			0.677135	+	0.735858i	$0.263221\pi$
$882$	17.1433	−	52.1262i	0.577245	−	1.75518i
$883$		−	53.0517i		−	1.78533i	−0.450719	−	0.892666i	$-0.648832\pi$
$883$		−	53.0517i		−	1.78533i	0.450719	−	0.892666i	$-0.351168\pi$
$884$	−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
$889$	9.56887	−	5.27578i	0.320930	−	0.176944i
$890$	17.2504	+	17.2504i	0.578233	+	0.578233i
$891$	−2.45171	+	2.29505i	−0.0821355	+	0.0768872i
$892$	−12.4110	+	46.3185i	−0.415551	+	1.55086i
$893$	−1.44080	−	0.831846i	−0.0482145	−	0.0278367i
$894$	66.3825	+	39.0595i	2.22016	+	1.30634i
$895$	6.68547	−	1.79137i	0.223471	−	0.0598788i
$896$	0.0735835	+	0.0212805i	0.00245825	+	0.000710930i
$897$	16.8988	−	40.3226i	0.564234	−	1.34633i
$898$	−86.4926			−2.88629
$899$	−9.19030	+	34.2987i	−0.306514	+	1.14392i
$900$	−29.9264	−	53.8670i	−0.997547	−	1.79557i
$901$	11.9632	+	6.90696i	0.398552	+	0.230104i
$902$	−0.583968	+	2.17940i	−0.0194440	+	0.0725660i
$903$	−0.941587	+	33.6562i	−0.0313341	+	1.12001i
$904$	126.274	−	33.8351i	4.19983	−	1.12534i
$905$	−17.7352	−	4.75214i	−0.589539	−	0.157967i
$906$	−0.704833	+	85.4533i	−0.0234165	+	2.83900i
$907$	48.2909	+	27.8808i	1.60347	+	0.925765i	0.990786	+	0.135440i	$0.0432448\pi$
$907$	48.2909	+	27.8808i	1.60347	+	0.925765i	0.612687	+	0.790325i	$0.290089\pi$
$908$	−12.0296	−	44.8952i	−0.399218	−	1.48990i
$909$	−5.27328	−	9.49181i	−0.174904	−	0.314824i
$910$	19.7499	+	8.54466i	0.654701	+	0.283253i
$911$	−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	$0.511620\pi$
$912$	27.5095	−	27.0594i	0.910930	−	0.896026i
$913$	−1.14888			−0.0380225
$914$	16.2893			0.538802
$915$	−1.03928	+	0.269306i	−0.0343575	+	0.00890300i
$916$	127.311	+	34.1129i	4.20647	+	1.12712i
$917$	24.2524	+	14.6473i	0.800886	+	0.483696i
$918$	5.17628	−	17.5674i	0.170843	−	0.579811i
$919$	−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
$921$	−13.4348	+	48.5347i	−0.442693	+	1.59927i
$922$	0.975703	−	0.563322i	0.0321331	−	0.0185520i
$923$	34.3801	+	26.1579i	1.13163	+	0.860997i
$924$	2.35878	−	7.91108i	0.0775980	−	0.260255i
$925$	34.1421	+	9.14834i	1.12258	+	0.300796i
$926$	−48.1007	−	27.7710i	−1.58069	−	0.912611i
$927$	0.222119	−	13.4638i	0.00729533	−	0.442210i
$928$	−62.4990	−	16.7466i	−2.05163	−	0.549733i
$929$	−36.8995	−	36.8995i	−1.21063	−	1.21063i	−0.970818	−	0.239816i	$-0.922913\pi$
$929$	−36.8995	−	36.8995i	−1.21063	−	1.21063i	−0.239816	−	0.970818i	$-0.577087\pi$
$930$	21.6734	−	5.61619i	0.710698	−	0.184162i
$931$	−15.4303	−	4.79416i	−0.505707	−	0.157122i
$932$	−1.41096	−	0.814621i	−0.0462177	−	0.0266838i
$933$	−19.3386	−	34.1427i	−0.633116	−	1.11778i
$934$	81.7686	−	21.9098i	2.67555	−	0.716911i
$935$	0.217259	+	0.376303i	0.00710511	+	0.0123064i
$936$	−29.6669	−	74.2126i	−0.969694	−	2.42571i
$937$	2.65360			0.0866893			0.0433447	−	0.999060i	$-0.486199\pi$
$937$	2.65360			0.0866893			0.0433447	+	0.999060i	$0.486199\pi$
$938$	−30.6893	−	55.6624i	−1.00204	−	1.81744i
$939$	−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	0.915253	+	0.402879i	$0.131991\pi$
$941$	40.4347	+	40.4347i	1.31813	+	1.31813i	0.402879	+	0.915253i	$0.368009\pi$
$942$	−0.457492	+	1.65273i	−0.0149059	+	0.0538490i
$943$	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	$-0.787547\pi$
$947$	−5.12157	+	5.12157i	−0.166429	+	0.166429i	0.618979	+	0.785408i	$0.287547\pi$
$948$	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
$951$	−3.98614	+	14.4003i	−0.129259	+	0.466962i
$952$	6.32118	+	25.6001i	0.204871	+	0.829703i
$953$	−22.9695			−0.744056			−0.372028	−	0.928221i	$-0.621337\pi$
$953$	−22.9695			−0.744056			−0.372028	+	0.928221i	$0.621337\pi$
$954$	−57.6955	+	55.8228i	−1.86796	+	1.80733i
$955$	−2.23654	−	0.599280i	−0.0723728	−	0.0193922i
$956$	4.88462	+	18.2296i	0.157980	+	0.589589i
$957$	1.06842	−	3.85978i	0.0345372	−	0.124769i
$958$	4.74187	−	8.21315i	0.153203	−	0.265355i
$959$	−11.6465	+	11.1960i	−0.376085	+	0.361536i
$960$	2.99356	+	11.5524i	0.0966169	+	0.372853i
$961$		−	1.83621i		−	0.0592324i
$962$	72.4326	+	29.6558i	2.33532	+	0.956142i
$963$	22.6538	−	12.5856i	0.730008	−	0.405564i
$964$	31.8293	+	118.788i	1.02515	+	3.82592i
$965$	7.79769	−	4.50200i	0.251017	−	0.144925i
$966$	−57.5960	−	60.9115i	−1.85312	−	1.95979i
$967$	−4.33888	−	16.1929i	−0.139529	−	0.520729i	−0.999938	−	0.0111253i	$-0.996459\pi$
$967$	−4.33888	−	16.1929i	−0.139529	−	0.520729i	0.860409	−	0.509604i	$-0.170208\pi$
$968$	−20.7699	+	77.5142i	−0.667568	+	2.49140i
$969$	−5.19736	−	1.43868i	−0.166963	−	0.0462169i
$970$	24.1445	−	6.46951i	0.775234	−	0.207723i
$971$	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
$973$	3.97015	+	0.0783069i	0.127277	+	0.00251040i
$974$	−32.2529	−	55.8637i	−1.03345	−	1.78999i
$975$	3.35868	+	26.3575i	0.107564	+	0.844116i
$976$	−6.92974			−0.221816
$977$	−11.5269	−	11.5269i	−0.368778	−	0.368778i	0.498253	−	0.867031i	$-0.333975\pi$
$977$	−11.5269	−	11.5269i	−0.368778	−	0.368778i	−0.867031	+	0.498253i	$0.833975\pi$
$978$	−0.336155	+	40.7552i	−0.0107491	+	1.30321i
$979$	−3.49477	+	2.01771i	−0.111693	+	0.0644862i
$980$	21.4270	−	19.8000i	0.684460	−	0.632489i
$981$	−27.0678	+	26.1892i	−0.864207	+	0.836156i
$982$	4.50001	−	1.20577i	0.143601	−	0.0384778i
$983$	7.51993	+	28.0647i	0.239848	+	0.895126i	0.975903	+	0.218204i	$0.0700199\pi$
$983$	7.51993	+	28.0647i	0.239848	+	0.895126i	−0.736055	+	0.676922i	$0.763313\pi$
$984$	29.6142	+	0.244263i	0.944068	+	0.00778682i
$985$	10.6246	−	6.13409i	0.338526	−	0.195448i
$986$	5.65273	+	21.0963i	0.180020	+	0.671842i
$987$	0.765299	+	3.21302i	0.0243597	+	0.102271i
$988$	−37.0576	+	15.5277i	−1.17896	+	0.494003i
$989$	44.5460	+	25.7187i	1.41648	+	0.817806i
$990$	−2.44963	+	0.613252i	−0.0778543	+	0.0194904i
$991$	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
$993$	−41.5040	−	11.4887i	−1.31709	−	0.364582i
$994$	72.5373	−	39.9933i	2.30074	−	1.26851i
$995$	−4.92508	−	18.3806i	−0.156135	−	0.582705i
$996$	6.45812	+	24.9225i	0.204633	+	0.789699i
$997$	−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
$999$	−41.9604	+	10.1376i	−1.32757	+	0.320738i

Twists

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

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
819.2.ev.a.86.5	✓	432	13.8	odd	4	inner
819.2.ev.a.200.5	yes	432	63.11	odd	6	inner
819.2.ev.a.515.104	yes	432	819.515	even	12	inner
819.2.ev.a.590.104	yes	432	1.1	even	1	trivial
819.2.fx.a.317.5	yes	432	9.2	odd	6
819.2.fx.a.473.5	yes	432	7.4	even	3
819.2.fx.a.632.5	yes	432	117.47	even	12
819.2.fx.a.788.5	yes	432	91.60	odd	12

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)

\(f(q)\)	\(=\)	\(q+(1.84767 + 1.84767i) q^{2} +(0.853624 + 1.50709i) q^{3} +4.82773i q^{4} +(-0.223439 + 0.833887i) q^{5} +(-1.20739 + 4.36181i) q^{6} +(-1.27743 - 2.31693i) q^{7} +(-5.22471 + 5.22471i) q^{8} +(-1.54265 + 2.57298i) q^{9} +O(q^{10})\)	\(q+(1.84767 + 1.84767i) q^{2} +(0.853624 + 1.50709i) q^{3} +4.82773i q^{4} +(-0.223439 + 0.833887i) q^{5} +(-1.20739 + 4.36181i) q^{6} +(-1.27743 - 2.31693i) q^{7} +(-5.22471 + 5.22471i) q^{8} +(-1.54265 + 2.57298i) q^{9} +(-1.95358 + 1.12790i) q^{10} +(-0.0965769 - 0.360430i) q^{11} +(-7.27584 + 4.12107i) q^{12} +(3.57275 - 0.485246i) q^{13} +(1.92064 - 6.64118i) q^{14} +(-1.44748 + 0.375082i) q^{15} -9.65155 q^{16} +(0.674430 + 1.16815i) q^{17} +(-7.60431 + 1.90370i) q^{18} +(0.597425 + 2.22962i) q^{19} +(-4.02578 - 1.07871i) q^{20} +(2.40138 - 3.90300i) q^{21} +(0.487512 - 0.844395i) q^{22} +(-3.50044 - 6.06294i) q^{23} +(-12.3340 - 3.41418i) q^{24} +(3.68468 + 2.12735i) q^{25} +(7.49782 + 5.70467i) q^{26} +(-5.19456 - 0.128560i) q^{27} +(11.1855 - 6.16711i) 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} +(0.460760 - 0.453222i) q^{33} +(-0.912223 + 3.40446i) q^{34} +(2.21749 - 0.547542i) q^{35} +(-12.4217 - 7.44751i) q^{36} +(8.02454 - 2.15017i) q^{37} +(-3.01575 + 5.22343i) q^{38} +(3.78110 + 4.97024i) q^{39} +(-3.18941 - 5.52422i) q^{40} +(-2.23523 + 0.598927i) q^{41} +(11.6484 - 2.77449i) q^{42} +(-6.36292 + 3.67363i) q^{43} +(1.74006 - 0.466247i) q^{44} +(-1.80089 - 1.86130i) q^{45} +(4.73464 - 17.6699i) q^{46} +(-0.509649 + 0.509649i) q^{47} +(-8.23880 - 14.5458i) q^{48} +(-3.73632 + 5.91945i) q^{49} +(2.87743 + 10.7387i) q^{50} +(-1.18479 + 2.01359i) q^{51} +(2.34264 + 17.2483i) q^{52} +(8.86913 - 5.12060i) q^{53} +(-9.36028 - 9.83535i) q^{54} +0.322137 q^{55} +(18.7795 + 5.43106i) q^{56} +(-2.85027 + 2.80363i) q^{57} +(15.6401 + 4.19075i) q^{58} +(7.09004 - 7.09004i) q^{59} +(-1.81080 - 6.98804i) q^{60} +0.717993 q^{61} -14.9732 q^{62} +(7.93205 + 0.287403i) 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} +(5.10885 + 3.08550i) q^{70} +(8.47218 + 8.47218i) q^{71} +(-5.38316 - 21.5030i) q^{72} +(-2.23563 + 8.34347i) q^{73} +(18.7995 + 10.8539i) q^{74} +(-0.0607817 + 7.36912i) q^{75} +(-10.7640 + 2.88421i) q^{76} +(-0.711720 + 0.684187i) q^{77} +(-2.19715 + 16.1695i) q^{78} -9.28477 q^{79} +(2.15654 - 8.04830i) q^{80} +(-4.24045 - 7.93842i) q^{81} +(-5.23657 - 3.02333i) q^{82} +(0.796885 - 2.97402i) q^{83} +(18.8426 + 11.5932i) q^{84} +(-1.12480 + 0.301388i) q^{85} +(-18.5442 - 4.96890i) q^{86} +(9.25040 + 5.44294i) q^{87} +(2.38773 + 1.37855i) q^{88} +(-2.79903 - 10.4461i) q^{89} +(0.111630 - 6.76650i) q^{90} +(-5.68823 - 7.65794i) q^{91} +(29.2703 - 16.8992i) q^{92} +(-9.56545 - 2.64780i) q^{93} -1.88332 q^{94} -1.99274 q^{95} +(4.82483 - 17.4302i) q^{96} +(-10.7033 - 2.86794i) q^{97} +(-17.8406 + 4.03368i) q^{98} +(1.07636 + 0.307527i) 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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