LMFDB - Embedded newform 403.2.k.d.66.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [403,2,Mod(66,403)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(403, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 6]))

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

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

chi := DirichletCharacter("403.66");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 403 = 13 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	403.k (of order $5$, 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:	$3.21797120146$
Analytic rank:	$0$
Dimension:	$48$
Relative dimension:	$12$ over $\Q(\zeta_{5})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			66.7
Character	$\chi$	$=$	403.66
Dual form			403.2.k.d.287.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.00310087 - 0.00954350i) q^{2} +(-0.517074 + 1.59139i) q^{3} +(1.61795 - 1.17551i) q^{4} +1.33726 q^{5} +0.0167908 q^{6} +(-0.925697 + 0.672558i) q^{7} +(-0.0324719 - 0.0235922i) q^{8} +(0.161891 + 0.117620i) q^{9} +O(q^{10})$	\(q+(-0.00310087 - 0.00954350i) q^{2} +(-0.517074 + 1.59139i) q^{3} +(1.61795 - 1.17551i) q^{4} +1.33726 q^{5} +0.0167908 q^{6} +(-0.925697 + 0.672558i) q^{7} +(-0.0324719 - 0.0235922i) q^{8} +(0.161891 + 0.117620i) q^{9} +(-0.00414667 - 0.0127621i) q^{10} +(1.99994 - 1.45304i) q^{11} +(1.03410 + 3.18262i) q^{12} +(-0.309017 + 0.951057i) q^{13} +(0.00928903 + 0.00674887i) q^{14} +(-0.691462 + 2.12810i) q^{15} +(1.23588 - 3.80365i) q^{16} +(3.66312 + 2.66141i) q^{17} +(0.000620508 - 0.00190973i) q^{18} +(-0.291644 - 0.897589i) q^{19} +(2.16362 - 1.57196i) q^{20} +(-0.591649 - 1.82091i) q^{21} +(-0.0200687 - 0.0145807i) q^{22} +(-1.55851 - 1.13232i) q^{23} +(0.0543349 - 0.0394766i) q^{24} -3.21174 q^{25} +0.0100346 q^{26} +(-4.33204 + 3.14741i) q^{27} +(-0.707134 + 2.17633i) q^{28} +(0.766373 + 2.35865i) q^{29} +0.0224537 q^{30} +(3.37665 + 4.42699i) q^{31} -0.120407 q^{32} +(1.27824 + 3.93402i) q^{33} +(0.0140403 - 0.0432117i) q^{34} +(-1.23790 + 0.899385i) q^{35} +0.400195 q^{36} +8.90574 q^{37} +(-0.00766179 + 0.00556661i) q^{38} +(-1.35372 - 0.983534i) q^{39} +(-0.0434234 - 0.0315489i) q^{40} +(-3.17434 - 9.76960i) q^{41} +(-0.0155432 + 0.0112928i) q^{42} +(1.29983 + 4.00045i) q^{43} +(1.52774 - 4.70191i) q^{44} +(0.216490 + 0.157289i) q^{45} +(-0.00597359 + 0.0183848i) q^{46} +(-0.675245 + 2.07819i) q^{47} +(5.41406 + 3.93354i) q^{48} +(-1.75854 + 5.41223i) q^{49} +(0.00995919 + 0.0306512i) q^{50} +(-6.12945 + 4.45331i) q^{51} +(0.618003 + 1.90202i) q^{52} +(-7.85700 - 5.70845i) q^{53} +(0.0434705 + 0.0315831i) q^{54} +(2.67444 - 1.94309i) q^{55} +0.0459263 q^{56} +1.57922 q^{57} +(0.0201334 - 0.0146278i) q^{58} +(1.37229 - 4.22347i) q^{59} +(1.38286 + 4.25599i) q^{60} +5.99657 q^{61} +(0.0317784 - 0.0459526i) q^{62} -0.228968 q^{63} +(-2.47139 - 7.60615i) q^{64} +(-0.413236 + 1.27181i) q^{65} +(0.0335807 - 0.0243978i) q^{66} -8.82025 q^{67} +9.05527 q^{68} +(2.60783 - 1.89470i) q^{69} +(0.0124218 + 0.00902499i) q^{70} +(-12.3914 - 9.00288i) q^{71} +(-0.00248197 - 0.00763872i) q^{72} +(-7.08721 + 5.14916i) q^{73} +(-0.0276156 - 0.0849920i) q^{74} +(1.66071 - 5.11113i) q^{75} +(-1.52699 - 1.10942i) q^{76} +(-0.874084 + 2.69015i) q^{77} +(-0.00518865 + 0.0159690i) q^{78} +(-13.4299 - 9.75738i) q^{79} +(1.65269 - 5.08647i) q^{80} +(-2.58327 - 7.95048i) q^{81} +(-0.0833930 + 0.0605886i) q^{82} +(-3.15227 - 9.70170i) q^{83} +(-3.09776 - 2.25065i) q^{84} +(4.89854 + 3.55900i) q^{85} +(0.0341477 - 0.0248098i) q^{86} -4.14981 q^{87} -0.0992224 q^{88} +(9.01255 - 6.54800i) q^{89} +(0.000829780 - 0.00255380i) q^{90} +(-0.353585 - 1.08822i) q^{91} -3.85265 q^{92} +(-8.79105 + 3.08449i) q^{93} +0.0219270 q^{94} +(-0.390004 - 1.20031i) q^{95} +(0.0622596 - 0.191615i) q^{96} +(7.49985 - 5.44896i) q^{97} +0.0571046 q^{98} +0.494679 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q + 7 q^{2} - 2 q^{3} - 7 q^{4} - 12 q^{5} - 10 q^{6} + 25 q^{7} - 14 q^{8} - 8 q^{9}+O(q^{10}) $ 48 * q + 7 * q^2 - 2 * q^3 - 7 * q^4 - 12 * q^5 - 10 * q^6 + 25 * q^7 - 14 * q^8 - 8 * q^9	\( 48 q + 7 q^{2} - 2 q^{3} - 7 q^{4} - 12 q^{5} - 10 q^{6} + 25 q^{7} - 14 q^{8} - 8 q^{9} - 19 q^{10} - 9 q^{11} + 15 q^{12} + 12 q^{13} - 25 q^{14} - 30 q^{15} - 21 q^{16} + 11 q^{17} + 17 q^{18} + 36 q^{19} + 30 q^{20} + 11 q^{21} + 15 q^{22} - 7 q^{23} - 20 q^{24} - 16 q^{25} + 8 q^{26} - 5 q^{27} - 9 q^{28} + 12 q^{29} + 18 q^{30} + 22 q^{31} - 76 q^{32} - 49 q^{33} - 26 q^{34} + 8 q^{35} + 2 q^{36} + 64 q^{37} - 27 q^{38} - 3 q^{39} - 24 q^{40} + 46 q^{41} + 20 q^{42} - 28 q^{43} - 23 q^{45} + 34 q^{46} + 5 q^{47} - 20 q^{48} - 11 q^{49} + 9 q^{50} + 59 q^{51} + 17 q^{52} + 23 q^{53} + 41 q^{54} - 10 q^{55} - 60 q^{56} + 24 q^{57} - 37 q^{58} + 71 q^{59} - 72 q^{60} + 22 q^{61} + 43 q^{62} - 106 q^{63} - 52 q^{64} + 2 q^{65} - 21 q^{66} - 56 q^{67} - 104 q^{68} - 12 q^{69} - 32 q^{70} - 36 q^{71} + 147 q^{72} - 12 q^{73} + 10 q^{74} + 34 q^{75} - 49 q^{76} - 30 q^{77} + 5 q^{78} - 70 q^{79} + q^{81} + 130 q^{82} + 11 q^{83} + 77 q^{84} + 8 q^{85} + 11 q^{86} - 88 q^{87} + 96 q^{88} - 40 q^{89} - 48 q^{90} + 10 q^{91} + 112 q^{92} + 50 q^{93} + 78 q^{94} + 41 q^{95} - 75 q^{96} - 47 q^{97} - 46 q^{98} + 46 q^{99}+O(q^{100}) \) 48 * q + 7 * q^2 - 2 * q^3 - 7 * q^4 - 12 * q^5 - 10 * q^6 + 25 * q^7 - 14 * q^8 - 8 * q^9 - 19 * q^10 - 9 * q^11 + 15 * q^12 + 12 * q^13 - 25 * q^14 - 30 * q^15 - 21 * q^16 + 11 * q^17 + 17 * q^18 + 36 * q^19 + 30 * q^20 + 11 * q^21 + 15 * q^22 - 7 * q^23 - 20 * q^24 - 16 * q^25 + 8 * q^26 - 5 * q^27 - 9 * q^28 + 12 * q^29 + 18 * q^30 + 22 * q^31 - 76 * q^32 - 49 * q^33 - 26 * q^34 + 8 * q^35 + 2 * q^36 + 64 * q^37 - 27 * q^38 - 3 * q^39 - 24 * q^40 + 46 * q^41 + 20 * q^42 - 28 * q^43 - 23 * q^45 + 34 * q^46 + 5 * q^47 - 20 * q^48 - 11 * q^49 + 9 * q^50 + 59 * q^51 + 17 * q^52 + 23 * q^53 + 41 * q^54 - 10 * q^55 - 60 * q^56 + 24 * q^57 - 37 * q^58 + 71 * q^59 - 72 * q^60 + 22 * q^61 + 43 * q^62 - 106 * q^63 - 52 * q^64 + 2 * q^65 - 21 * q^66 - 56 * q^67 - 104 * q^68 - 12 * q^69 - 32 * q^70 - 36 * q^71 + 147 * q^72 - 12 * q^73 + 10 * q^74 + 34 * q^75 - 49 * q^76 - 30 * q^77 + 5 * q^78 - 70 * q^79 + q^81 + 130 * q^82 + 11 * q^83 + 77 * q^84 + 8 * q^85 + 11 * q^86 - 88 * q^87 + 96 * q^88 - 40 * q^89 - 48 * q^90 + 10 * q^91 + 112 * q^92 + 50 * q^93 + 78 * q^94 + 41 * q^95 - 75 * q^96 - 47 * q^97 - 46 * q^98 + 46 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/403\mathbb{Z}\right)^\times$.

$n$	$249$	$313$
$\chi(n)$	$1$	$e\left(\frac{3}{5}\right)$

Coefficient data

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

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

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

$2$	−0.00310087	−	0.00954350i	−0.00219265	−	0.00674827i	0.949954	−	0.312389i	$-0.101129\pi$
$2$	−0.00310087	−	0.00954350i	−0.00219265	−	0.00674827i	−0.952147	+	0.305641i	$0.901129\pi$
$3$	−0.517074	+	1.59139i	−0.298533	+	0.918790i	0.683479	+	0.729970i	$0.260466\pi$
$3$	−0.517074	+	1.59139i	−0.298533	+	0.918790i	−0.982012	+	0.188820i	$0.939534\pi$
$4$	1.61795	−	1.17551i	0.808976	−	0.587756i
$5$	1.33726			0.598040			0.299020	−	0.954247i	$-0.403340\pi$
$5$	1.33726			0.598040			0.299020	+	0.954247i	$0.403340\pi$
$6$	0.0167908			0.00685483
$7$	−0.925697	+	0.672558i	−0.349881	+	0.254203i	−0.748819	−	0.662775i	$-0.769379\pi$
$7$	−0.925697	+	0.672558i	−0.349881	+	0.254203i	0.398938	+	0.916978i	$0.369379\pi$
$8$	−0.0324719	−	0.0235922i	−0.0114806	−	0.00834112i
$9$	0.161891	+	0.117620i	0.0539635	+	0.0392068i
$10$	−0.00414667	−	0.0127621i	−0.00131129	−	0.00403574i
$11$	1.99994	−	1.45304i	0.603005	−	0.438109i	−0.243939	−	0.969790i	$-0.578440\pi$
$11$	1.99994	−	1.45304i	0.603005	−	0.438109i	0.846944	+	0.531682i	$0.178440\pi$
$12$	1.03410	+	3.18262i	0.298518	+	0.918744i
$13$	−0.309017	+	0.951057i	−0.0857059	+	0.263776i
$13$	−0.309017	+	0.951057i	−0.0857059	+	0.263776i
$14$	0.00928903	+	0.00674887i	0.00248260	+	0.00180371i
$15$	−0.691462	+	2.12810i	−0.178535	+	0.549474i
$16$	1.23588	−	3.80365i	0.308970	−	0.950913i
$17$	3.66312	+	2.66141i	0.888437	+	0.645487i	0.935470	−	0.353406i	$-0.114977\pi$
$17$	3.66312	+	2.66141i	0.888437	+	0.645487i	−0.0470331	+	0.998893i	$0.514977\pi$
$18$	0.000620508	−	0.00190973i	0.000146255	−	0.000450127i
$19$	−0.291644	−	0.897589i	−0.0669078	−	0.205921i	0.912013	−	0.410161i	$-0.134528\pi$
$19$	−0.291644	−	0.897589i	−0.0669078	−	0.205921i	−0.978921	+	0.204240i	$0.934528\pi$
$20$	2.16362	−	1.57196i	0.483801	−	0.351502i
$21$	−0.591649	−	1.82091i	−0.129108	−	0.397355i
$22$	−0.0200687	−	0.0145807i	−0.00427865	−	0.00310862i
$23$	−1.55851	−	1.13232i	−0.324971	−	0.236106i	0.413322	−	0.910585i	$-0.364368\pi$
$23$	−1.55851	−	1.13232i	−0.324971	−	0.236106i	−0.738294	+	0.674479i	$0.764368\pi$
$24$	0.0543349	−	0.0394766i	0.0110911	−	0.00805813i
$25$	−3.21174			−0.642348
$26$	0.0100346			0.00196795
$27$	−4.33204	+	3.14741i	−0.833702	+	0.605720i
$28$	−0.707134	+	2.17633i	−0.133636	+	0.411289i
$29$	0.766373	+	2.35865i	0.142312	+	0.437991i	0.996656	−	0.0817175i	$-0.0260405\pi$
$29$	0.766373	+	2.35865i	0.142312	+	0.437991i	−0.854344	+	0.519709i	$0.826041\pi$
$30$	0.0224537			0.00409946
$31$	3.37665	+	4.42699i	0.606464	+	0.795111i
$31$	3.37665	+	4.42699i	0.606464	+	0.795111i
$32$	−0.120407			−0.0212852
$33$	1.27824	+	3.93402i	0.222513	+	0.684825i
$34$	0.0140403	−	0.0432117i	0.00240790	−	0.00741074i
$35$	−1.23790	+	0.899385i	−0.209243	+	0.152024i
$36$	0.400195			0.0666992
$37$	8.90574			1.46410			0.732048	−	0.681253i	$-0.238565\pi$
$37$	8.90574			1.46410			0.732048	+	0.681253i	$0.238565\pi$
$38$	−0.00766179	+	0.00556661i	−0.00124291	+	0.000903024i
$39$	−1.35372	−	0.983534i	−0.216768	−	0.157491i
$40$	−0.0434234	−	0.0315489i	−0.00686584	−	0.00498832i
$41$	−3.17434	−	9.76960i	−0.495748	−	1.52576i	−0.815788	−	0.578351i	$-0.803696\pi$
$41$	−3.17434	−	9.76960i	−0.495748	−	1.52576i	0.320040	−	0.947404i	$-0.396304\pi$
$42$	−0.0155432	+	0.0112928i	−0.00239837	+	0.00174252i
$43$	1.29983	+	4.00045i	0.198222	+	0.610063i	0.999924	+	0.0123398i	$0.00392799\pi$
$43$	1.29983	+	4.00045i	0.198222	+	0.610063i	−0.801702	+	0.597724i	$0.796072\pi$
$44$	1.52774	−	4.70191i	0.230316	−	0.708839i
$45$	0.216490	+	0.157289i	0.0322724	+	0.0234472i
$46$	−0.00597359	+	0.0183848i	−0.000880757	+	0.00271069i
$47$	−0.675245	+	2.07819i	−0.0984945	+	0.303135i	−0.988149	−	0.153500i	$-0.950945\pi$
$47$	−0.675245	+	2.07819i	−0.0984945	+	0.303135i	0.889654	+	0.456635i	$0.150945\pi$
$48$	5.41406	+	3.93354i	0.781452	+	0.567758i
$49$	−1.75854	+	5.41223i	−0.251220	+	0.773175i
$50$	0.00995919	+	0.0306512i	0.00140844	+	0.00433474i
$51$	−6.12945	+	4.45331i	−0.858295	+	0.623588i
$52$	0.618003	+	1.90202i	0.0857016	+	0.263762i
$53$	−7.85700	−	5.70845i	−1.07924	−	0.784115i	−0.101691	−	0.994816i	$-0.532425\pi$
$53$	−7.85700	−	5.70845i	−1.07924	−	0.784115i	−0.977551	+	0.210701i	$0.932425\pi$
$54$	0.0434705	+	0.0315831i	0.00591558	+	0.00429792i
$55$	2.67444	−	1.94309i	0.360621	−	0.262007i
$56$	0.0459263			0.00613716
$57$	1.57922			0.209172
$58$	0.0201334	−	0.0146278i	0.00264364	−	0.00192072i
$59$	1.37229	−	4.22347i	0.178657	−	0.549849i	−0.821125	−	0.570748i	$-0.806653\pi$
$59$	1.37229	−	4.22347i	0.178657	−	0.549849i	0.999782	+	0.0208999i	$0.00665313\pi$
$60$	1.38286	+	4.25599i	0.178526	+	0.549446i
$61$	5.99657			0.767782			0.383891	−	0.923378i	$-0.374584\pi$
$61$	5.99657			0.767782			0.383891	+	0.923378i	$0.374584\pi$
$62$	0.0317784	−	0.0459526i	0.00403586	−	0.00583598i
$63$	−0.228968			−0.0288473
$64$	−2.47139	−	7.60615i	−0.308924	−	0.950769i
$65$	−0.413236	+	1.27181i	−0.0512556	+	0.157748i
$66$	0.0335807	−	0.0243978i	0.00413349	−	0.00300316i
$67$	−8.82025			−1.07757			−0.538783	−	0.842445i	$-0.681116\pi$
$67$	−8.82025			−1.07757			−0.538783	+	0.842445i	$0.681116\pi$
$68$	9.05527			1.09811
$69$	2.60783	−	1.89470i	0.313946	−	0.228095i
$70$	0.0124218	+	0.00902499i	0.00148469	+	0.00107869i
$71$	−12.3914	−	9.00288i	−1.47059	−	1.06845i	−0.980442	−	0.196806i	$-0.936943\pi$
$71$	−12.3914	−	9.00288i	−1.47059	−	1.06845i	−0.490147	−	0.871640i	$-0.663057\pi$
$72$	−0.00248197	−	0.00763872i	−0.000292503	−	0.000900232i
$73$	−7.08721	+	5.14916i	−0.829495	+	0.602664i	−0.919416	−	0.393285i	$-0.871338\pi$
$73$	−7.08721	+	5.14916i	−0.829495	+	0.602664i	0.0899213	+	0.995949i	$0.471338\pi$
$74$	−0.0276156	−	0.0849920i	−0.00321024	−	0.00988012i
$75$	1.66071	−	5.11113i	0.191762	−	0.590183i
$76$	−1.52699	−	1.10942i	−0.175158	−	0.127260i
$77$	−0.874084	+	2.69015i	−0.0996111	+	0.306571i
$78$	−0.00518865	+	0.0159690i	−0.000587499	+	0.00180814i
$79$	−13.4299	−	9.75738i	−1.51098	−	1.09779i	−0.965740	−	0.259512i	$-0.916438\pi$
$79$	−13.4299	−	9.75738i	−1.51098	−	1.09779i	−0.545240	−	0.838280i	$-0.683562\pi$
$80$	1.65269	−	5.08647i	0.184777	−	0.568684i
$81$	−2.58327	−	7.95048i	−0.287030	−	0.883387i
$82$	−0.0833930	+	0.0605886i	−0.00920922	+	0.00669089i
$83$	−3.15227	−	9.70170i	−0.346007	−	1.06490i	−0.961043	−	0.276401i	$-0.910858\pi$
$83$	−3.15227	−	9.70170i	−0.346007	−	1.06490i	0.615036	−	0.788499i	$-0.289142\pi$
$84$	−3.09776	−	2.25065i	−0.337993	−	0.245566i
$85$	4.89854	+	3.55900i	0.531321	+	0.386027i
$86$	0.0341477	−	0.0248098i	0.00368225	−	0.00267531i
$87$	−4.14981			−0.444907
$88$	−0.0992224			−0.0105771
$89$	9.01255	−	6.54800i	0.955328	−	0.694086i	0.00326701	−	0.999995i	$-0.498960\pi$
$89$	9.01255	−	6.54800i	0.955328	−	0.694086i	0.952061	+	0.305908i	$0.0989601\pi$
$90$	0.000829780	−	0.00255380i	8.74665e−5	−	0.000269194i
$91$	−0.353585	−	1.08822i	−0.0370658	−	0.114077i
$92$	−3.85265			−0.401667
$93$	−8.79105	+	3.08449i	−0.911590	+	0.319847i
$94$	0.0219270			0.00226160
$95$	−0.390004	−	1.20031i	−0.0400136	−	0.123149i
$96$	0.0622596	−	0.191615i	0.00635435	−	0.0195567i
$97$	7.49985	−	5.44896i	0.761494	−	0.553258i	−0.137874	−	0.990450i	$-0.544027\pi$
$97$	7.49985	−	5.44896i	0.761494	−	0.553258i	0.899368	+	0.437192i	$0.144027\pi$
$98$	0.0571046			0.00576843
$99$	0.494679			0.0497171
$100$	−5.19644	+	3.77543i	−0.519644	+	0.377543i
$101$	−0.183052	−	0.132995i	−0.0182144	−	0.0132335i	0.578641	−	0.815582i	$-0.303583\pi$
$101$	−0.183052	−	0.132995i	−0.0182144	−	0.0132335i	−0.596855	+	0.802349i	$0.703583\pi$
$102$	0.0615068	+	0.0446873i	0.00609008	+	0.00442470i
$103$	−0.234655	−	0.722193i	−0.0231212	−	0.0711598i	0.938830	−	0.344381i	$-0.111911\pi$
$103$	−0.234655	−	0.722193i	−0.0231212	−	0.0711598i	−0.961951	+	0.273221i	$0.911911\pi$
$104$	0.0324719	−	0.0235922i	0.00318413	−	0.00231341i
$105$	−0.791188	−	2.43503i	−0.0772121	−	0.237634i
$106$	−0.0301150	+	0.0926845i	−0.00292503	+	0.00900231i
$107$	−6.14994	−	4.46819i	−0.594537	−	0.431957i	0.249398	−	0.968401i	$-0.419767\pi$
$107$	−6.14994	−	4.46819i	−0.594537	−	0.431957i	−0.843936	+	0.536444i	$0.819767\pi$
$108$	−3.30922	+	10.1847i	−0.318430	+	0.980027i
$109$	0.888618	−	2.73489i	0.0851142	−	0.261955i	−0.899437	−	0.437050i	$-0.856023\pi$
$109$	0.888618	−	2.73489i	0.0851142	−	0.261955i	0.984551	+	0.175095i	$0.0560233\pi$
$110$	−0.0268370	−	0.0194982i	−0.00255881	−	0.00185908i
$111$	−4.60493	+	14.1725i	−0.437081	+	1.34520i
$112$	1.41413	+	4.35223i	0.133622	+	0.411247i
$113$	13.0383	−	9.47287i	1.22654	−	0.891133i	0.229913	−	0.973211i	$-0.426156\pi$
$113$	13.0383	−	9.47287i	1.22654	−	0.891133i	0.996626	+	0.0820781i	$0.0261557\pi$
$114$	−0.00489695	−	0.0150713i	−0.000458641	−	0.00141155i
$115$	−2.08413	−	1.51421i	−0.194346	−	0.141201i
$116$	4.01258	+	2.91531i	0.372559	+	0.270680i
$117$	−0.161891	+	0.117620i	−0.0149668	+	0.0108740i
$118$	−0.0445620			−0.00410226
$119$	−5.18089			−0.474932
$120$	0.0726598	−	0.0527905i	0.00663290	−	0.00481909i
$121$	−1.51076	+	4.64963i	−0.137341	+	0.422693i
$122$	−0.0185946	−	0.0572283i	−0.00168348	−	0.00518120i
$123$	17.1886			1.54985
$124$	10.6672	+	3.19337i	0.957946	+	0.286773i
$125$	−10.9812			−0.982190
$126$	0.000710001		0.00218516i	6.32519e−5		0.000194669i
$127$	−5.01248	+	15.4268i	−0.444785	+	1.36891i	0.437934	+	0.899007i	$0.355710\pi$
$127$	−5.01248	+	15.4268i	−0.444785	+	1.36891i	−0.882719	+	0.469901i	$0.844290\pi$
$128$	−0.259749	+	0.188719i	−0.0229588	+	0.0166806i
$129$	−7.03839			−0.619696
$130$	0.0134189			0.00117692
$131$	−13.3348	+	9.68831i	−1.16507	+	0.846471i	−0.990410	−	0.138158i	$-0.955882\pi$
$131$	−13.3348	+	9.68831i	−1.16507	+	0.846471i	−0.174658	+	0.984629i	$0.555882\pi$
$132$	6.69262	+	4.86247i	0.582517	+	0.423224i
$133$	0.873655	+	0.634747i	0.0757555	+	0.0550396i
$134$	0.0273505	+	0.0841761i	0.00236272	+	0.00727171i
$135$	−5.79307	+	4.20891i	−0.498588	+	0.362245i
$136$	−0.0561599	−	0.172842i	−0.00481567	−	0.0148211i
$137$	2.15121	−	6.62075i	0.183790	−	0.565648i	−0.816135	−	0.577861i	$-0.803888\pi$
$137$	2.15121	−	6.62075i	0.183790	−	0.565648i	0.999925	+	0.0122127i	$0.00388751\pi$
$138$	−0.0261686	−	0.0190126i	−0.00222762	−	0.00161846i
$139$	−1.28827	+	3.96489i	−0.109270	+	0.336297i	−0.990709	−	0.136000i	$-0.956575\pi$
$139$	−1.28827	+	3.96489i	−0.109270	+	0.336297i	0.881439	+	0.472297i	$0.156575\pi$
$140$	−0.945621	+	2.91032i	−0.0799196	+	0.245967i
$141$	−2.95806	−	2.14916i	−0.249114	−	0.180992i
$142$	−0.0474949	+	0.146174i	−0.00398568	+	0.0122667i
$143$	0.763909	+	2.35107i	0.0638813	+	0.196606i
$144$	0.647464	−	0.470410i	0.0539554	−	0.0392009i
$145$	1.02484	+	3.15413i	0.0851083	+	0.261936i
$146$	0.0711175	+	0.0516699i	0.00588573	+	0.00427623i
$147$	−7.70367	−	5.59705i	−0.635388	−	0.461637i
$148$	14.4091	−	10.4688i	1.18442	−	0.860530i
$149$	12.6005			1.03227			0.516135	−	0.856507i	$-0.327370\pi$
$149$	12.6005			1.03227			0.516135	+	0.856507i	$0.327370\pi$
$150$	−0.0539277			−0.00440318
$151$	−0.570758	+	0.414680i	−0.0464476	+	0.0337462i	−0.610767	−	0.791811i	$-0.709139\pi$
$151$	−0.570758	+	0.414680i	−0.0464476	+	0.0337462i	0.564319	+	0.825557i	$0.309139\pi$
$152$	−0.0117059	+	0.0360270i	−0.000949472	+	0.00292217i
$153$	0.279988	+	0.861715i	0.0226357	+	0.0696655i
$154$	0.0283839			0.00228724
$155$	4.51546	+	5.92003i	0.362690	+	0.475508i
$156$	−3.34641			−0.267927
$157$	5.60229	+	17.2421i	0.447111	+	1.37607i	0.880152	+	0.474693i	$0.157441\pi$
$157$	5.60229	+	17.2421i	0.447111	+	1.37607i	−0.433040	+	0.901375i	$0.642559\pi$
$158$	−0.0514753	+	0.158425i	−0.00409515	+	0.0126036i
$159$	13.1470	−	9.55187i	1.04263	−	0.757513i
$160$	−0.161016			−0.0127294
$161$	2.20426			0.173720
$162$	−0.0678651	+	0.0493069i	−0.00533198	+	0.00387391i
$163$	−7.57428	−	5.50304i	−0.593264	−	0.431031i	0.250218	−	0.968190i	$-0.419498\pi$
$163$	−7.57428	−	5.50304i	−0.593264	−	0.431031i	−0.843481	+	0.537158i	$0.819498\pi$
$164$	−16.6202	−	12.0753i	−1.29782	−	0.942921i
$165$	1.70934	+	5.26080i	0.133072	+	0.409553i
$166$	−0.0828134	+	0.0601675i	−0.00642757	+	0.00466990i
$167$	2.01604	+	6.20472i	0.156006	+	0.480136i	0.998261	−	0.0589423i	$-0.0187728\pi$
$167$	2.01604	+	6.20472i	0.156006	+	0.480136i	−0.842256	+	0.539078i	$0.818773\pi$
$168$	−0.0237473	+	0.0730867i	−0.00183215	+	0.00563877i
$169$	−0.809017	−	0.587785i	−0.0622321	−	0.0452143i
$170$	0.0187756	−	0.0577852i	0.00144002	−	0.00443192i
$171$	0.0583603	−	0.179614i	0.00446292	−	0.0137355i
$172$	6.80564	+	4.94458i	0.518925	+	0.377021i
$173$	0.0849446	−	0.261433i	0.00645822	−	0.0198764i	−0.947775	−	0.318938i	$-0.896674\pi$
$173$	0.0849446	−	0.261433i	0.00645822	−	0.0198764i	0.954234	+	0.299062i	$0.0966737\pi$
$174$	0.0128680	+	0.0396037i	0.000975523	+	0.00300235i
$175$	2.97310	−	2.16008i	0.224745	−	0.163287i
$176$	−3.05518	−	9.40286i	−0.230293	−	0.708768i
$177$	6.01161	+	4.36769i	0.451861	+	0.328296i
$178$	−0.0904376	−	0.0657067i	−0.00677858	−	0.00492493i
$179$	8.54467	−	6.20807i	0.638659	−	0.464013i	−0.220730	−	0.975335i	$-0.570844\pi$
$179$	8.54467	−	6.20807i	0.638659	−	0.464013i	0.859389	+	0.511322i	$0.170844\pi$
$180$	0.535165			0.0398888
$181$	−0.139896			−0.0103984			−0.00519921	−	0.999986i	$-0.501655\pi$
$181$	−0.139896			−0.0103984			−0.00519921	+	0.999986i	$0.501655\pi$
$182$	−0.00928903	+	0.00674887i	−0.000688549	+	0.000500260i
$183$	−3.10067	+	9.54289i	−0.229208	+	0.705431i
$184$	0.0238937	+	0.0735374i	0.00176147	+	0.00542125i
$185$	11.9093			0.875588
$186$	0.0566967	+	0.0743328i	0.00415721	+	0.00545035i
$187$	11.1932			0.818525
$188$	1.35042	+	4.15617i	0.0984896	+	0.303120i
$189$	1.89334	−	5.82710i	0.137720	−	0.423859i
$190$	−0.0102458	+	0.00744401i	−0.000743308	+	0.000540045i
$191$	−10.4679			−0.757433			−0.378717	−	0.925513i	$-0.623635\pi$
$191$	−10.4679			−0.757433			−0.378717	+	0.925513i	$0.623635\pi$
$192$	13.3823			0.965781
$193$	−2.56718	+	1.86516i	−0.184789	+	0.134257i	−0.676334	−	0.736595i	$-0.736432\pi$
$193$	−2.56718	+	1.86516i	−0.184789	+	0.134257i	0.491545	+	0.870852i	$0.336432\pi$
$194$	−0.0752582	−	0.0546783i	−0.00540322	−	0.00392567i
$195$	−1.81027	−	1.31524i	−0.129636	−	0.0941863i
$196$	3.51690	+	10.8239i	0.251207	+	0.773136i
$197$	−5.86636	+	4.26216i	−0.417961	+	0.303666i	−0.776817	−	0.629727i	$-0.783167\pi$
$197$	−5.86636	+	4.26216i	−0.417961	+	0.303666i	0.358856	+	0.933393i	$0.383167\pi$
$198$	−0.00153394	−	0.00472097i	−0.000109012	−	0.000335505i
$199$	1.14814	−	3.53362i	0.0813896	−	0.250492i	−0.902079	−	0.431571i	$-0.857959\pi$
$199$	1.14814	−	3.53362i	0.0813896	−	0.250492i	0.983468	+	0.181080i	$0.0579593\pi$
$200$	0.104291	+	0.0757721i	0.00737451	+	0.00535790i
$201$	4.56073	−	14.0365i	0.321689	−	0.990057i
$202$	−0.000701619		0.00215936i	−4.93658e−5		0.000151932i
$203$	−2.29576	−	1.66797i	−0.161131	−	0.117068i
$204$	−4.68225	+	14.4105i	−0.327823	+	1.00894i
$205$	−4.24491	−	13.0645i	−0.296477	−	0.912464i
$206$	−0.00616461	+	0.00447885i	−0.000429509	+	0.000312057i
$207$	−0.119124	−	0.366625i	−0.00827966	−	0.0254822i
$208$	3.23558	+	2.35079i	0.224347	+	0.162998i
$209$	−1.88750	−	1.37135i	−0.130561	−	0.0948584i
$210$	−0.0207853	+	0.0151014i	−0.00143432	+	0.00104210i
$211$	−1.70626			−0.117464			−0.0587320	−	0.998274i	$-0.518706\pi$
$211$	−1.70626			−0.117464			−0.0587320	+	0.998274i	$0.518706\pi$
$212$	−19.4226			−1.33395
$213$	20.7344	−	15.0644i	1.42070	−	1.03220i
$214$	−0.0235720	+	0.0725473i	−0.00161135	+	0.00495923i
$215$	1.73820	+	5.34964i	0.118545	+	0.364843i
$216$	0.214924			0.0146238
$217$	−6.10316	−	1.82706i	−0.414310	−	0.124029i
$218$	−0.0288559			−0.00195437
$219$	−4.52971	−	13.9410i	−0.306090	−	0.942047i
$220$	2.04299	−	6.28767i	0.137738	−	0.423914i
$221$	−3.66312	+	2.66141i	−0.246408	+	0.179026i
$222$	0.149535			0.0100361
$223$	25.8045			1.72800			0.863998	−	0.503495i	$-0.167953\pi$
$223$	25.8045			1.72800			0.863998	+	0.503495i	$0.167953\pi$
$224$	0.111461	−	0.0809810i	0.00744729	−	0.00541077i
$225$	−0.519950	−	0.377766i	−0.0346633	−	0.0251844i
$226$	−0.130834	−	0.0950568i	−0.00870298	−	0.00632308i
$227$	−1.41746	−	4.36248i	−0.0940799	−	0.289548i	0.892933	−	0.450190i	$-0.148644\pi$
$227$	−1.41746	−	4.36248i	−0.0940799	−	0.289548i	−0.987013	+	0.160642i	$0.948644\pi$
$228$	2.55510	−	1.85639i	0.169215	−	0.122942i
$229$	4.30571	+	13.2516i	0.284529	+	0.875692i	0.986539	+	0.163524i	$0.0522862\pi$
$229$	4.30571	+	13.2516i	0.284529	+	0.875692i	−0.702010	+	0.712167i	$0.747714\pi$
$230$	−0.00798823	+	0.0245853i	−0.000526729	+	0.00162110i
$231$	−3.82912	−	2.78202i	−0.251938	−	0.183043i
$232$	0.0307603	−	0.0946705i	0.00201951	−	0.00621542i
$233$	−6.51362	+	20.0469i	−0.426721	+	1.31331i	0.474615	+	0.880194i	$0.342587\pi$
$233$	−6.51362	+	20.0469i	−0.426721	+	1.31331i	−0.901336	+	0.433120i	$0.857413\pi$
$234$	0.00162451	+	0.00118028i	0.000106198	+	7.71571e-5i
$235$	−0.902977	+	2.77908i	−0.0589037	+	0.181287i
$236$	−2.74444	−	8.44651i	−0.178648	−	0.549821i
$237$	22.4721	−	16.3269i	1.45972	−	1.06055i
$238$	0.0160653	+	0.0494439i	0.00104136	+	0.00320497i
$239$	17.0065	+	12.3560i	1.10006	+	0.799241i	0.981070	−	0.193654i	$-0.0620339\pi$
$239$	17.0065	+	12.3560i	1.10006	+	0.799241i	0.118991	+	0.992895i	$0.462034\pi$
$240$	7.23999	+	5.26016i	0.467340	+	0.339542i
$241$	3.45332	−	2.50898i	0.222448	−	0.161618i	−0.470980	−	0.882144i	$-0.656100\pi$
$241$	3.45332	−	2.50898i	0.222448	−	0.161618i	0.693428	+	0.720526i	$0.256100\pi$
$242$	0.0490584			0.00315359
$243$	−2.07603			−0.133177
$244$	9.70217	−	7.04904i	0.621118	−	0.451268i
$245$	−2.35162	+	7.23755i	−0.150240	+	0.462390i
$246$	−0.0532997	−	0.164040i	−0.00339827	−	0.0104588i
$247$	0.943781			0.0600513
$248$	−0.00520377	−	0.223416i	−0.000330439	−	0.0141869i
$249$	17.0692			1.08171
$250$	0.0340514	+	0.104799i	0.00215360	+	0.00662809i
$251$	−5.97227	+	18.3808i	−0.376966	+	1.16018i	0.565176	+	0.824970i	$0.308808\pi$
$251$	−5.97227	+	18.3808i	−0.376966	+	1.16018i	−0.942142	+	0.335213i	$0.891192\pi$
$252$	−0.370460	+	0.269155i	−0.0233368	+	0.0169551i
$253$	−4.76224			−0.299399
$254$	0.162769			0.0102130
$255$	−8.19667	+	5.95523i	−0.513295	+	0.372931i
$256$	−12.9378	−	9.39983i	−0.808610	−	0.587489i
$257$	4.61742	+	3.35475i	0.288027	+	0.209264i	0.722411	−	0.691464i	$-0.243034\pi$
$257$	4.61742	+	3.35475i	0.288027	+	0.209264i	−0.434384	+	0.900728i	$0.643034\pi$
$258$	0.0218252	+	0.0671709i	0.00135877	+	0.00418188i
$259$	−8.24402	+	5.98963i	−0.512259	+	0.372178i
$260$	0.826430	+	2.54349i	0.0512530	+	0.157741i
$261$	−0.153357	+	0.471985i	−0.00949257	+	0.0292151i
$262$	0.133810	+	0.0972186i	0.00826681	+	0.00600619i
$263$	3.20575	−	9.86630i	0.197675	−	0.608382i	−0.802260	−	0.596975i	$-0.796369\pi$
$263$	3.20575	−	9.86630i	0.197675	−	0.608382i	0.999935	−	0.0114067i	$-0.00363095\pi$
$264$	0.0513054	−	0.157902i	0.00315763	−	0.00971818i
$265$	−10.5068	−	7.63367i	−0.645430	−	0.468933i
$266$	0.00334862	−	0.0103060i	0.000205317	−	0.000631901i
$267$	5.76027	+	17.7283i	0.352523	+	1.08495i
$268$	−14.2708	+	10.3683i	−0.871725	+	0.633345i
$269$	0.758931	+	2.33575i	0.0462728	+	0.142413i	0.971524	−	0.236943i	$-0.0761455\pi$
$269$	0.758931	+	2.33575i	0.0462728	+	0.142413i	−0.925251	+	0.379356i	$0.876146\pi$
$270$	0.0581313	+	0.0422348i	0.00353776	+	0.00257033i
$271$	9.95535	+	7.23298i	0.604744	+	0.439373i	0.847560	−	0.530700i	$-0.178071\pi$
$271$	9.95535	+	7.23298i	0.604744	+	0.439373i	−0.242815	+	0.970073i	$0.578071\pi$
$272$	14.6503	−	10.6440i	0.888303	−	0.645390i
$273$	1.91462			0.115878
$274$	−0.0698557			−0.00422014
$275$	−6.42329	+	4.66679i	−0.387339	+	0.281418i
$276$	1.99211	−	6.13107i	0.119911	−	0.369047i
$277$	5.58968	+	17.2033i	0.335851	+	1.03364i	0.966301	+	0.257414i	$0.0828704\pi$
$277$	5.58968	+	17.2033i	0.335851	+	1.03364i	−0.630450	+	0.776230i	$0.717130\pi$
$278$	0.0418337			0.00250902
$279$	0.0259436	+	1.11385i	0.00155321	+	0.0666845i
$280$	0.0614154			0.00367027
$281$	−1.58811	−	4.88771i	−0.0947388	−	0.291576i	0.892447	−	0.451153i	$-0.148987\pi$
$281$	−1.58811	−	4.88771i	−0.0947388	−	0.291576i	−0.987186	+	0.159577i	$0.948987\pi$
$282$	−0.0113379	+	0.0348945i	−0.000675163	+	0.00207794i
$283$	−9.70852	+	7.05365i	−0.577111	+	0.419296i	−0.837682	−	0.546159i	$-0.816089\pi$
$283$	−9.70852	+	7.05365i	−0.577111	+	0.419296i	0.260570	+	0.965455i	$0.416089\pi$
$284$	−30.6317			−1.81766
$285$	2.11182			0.125094
$286$	0.0200687	−	0.0145807i	0.00118669	−	0.000862177i
$287$	9.50910	+	6.90877i	0.561304	+	0.407812i
$288$	−0.0194928	−	0.0141624i	−0.00114863	−	0.000834526i
$289$	1.08204	+	3.33018i	0.0636494	+	0.195893i
$290$	0.0269236	−	0.0195611i	0.00158101	−	0.00114867i
$291$	4.79345	+	14.7527i	0.280997	+	0.864819i
$292$	−5.41387	+	16.6622i	−0.316823	+	0.975081i
$293$	−23.9808	−	17.4231i	−1.40097	−	1.01787i	−0.994559	−	0.104176i	$-0.966779\pi$
$293$	−23.9808	−	17.4231i	−1.40097	−	1.01787i	−0.406413	−	0.913690i	$-0.633221\pi$
$294$	−0.0295273	+	0.0908757i	−0.00172207	+	0.00529998i
$295$	1.83510	−	5.64787i	0.106844	−	0.328832i
$296$	−0.289187	−	0.210106i	−0.0168086	−	0.0122122i
$297$	−4.09051	+	12.5893i	−0.237355	+	0.730504i
$298$	−0.0390724	−	0.120253i	−0.00226341	−	0.00696605i
$299$	1.55851	−	1.13232i	0.0901309	−	0.0654839i
$300$	−3.32125	−	10.2218i	−0.191752	−	0.590153i
$301$	−3.89378	−	2.82900i	−0.224434	−	0.163061i
$302$	0.00572734	+	0.00416116i	0.000329572	+	0.000239448i
$303$	0.306299	−	0.222539i	0.0175964	−	0.0127846i
$304$	−3.77455			−0.216485
$305$	8.01897			0.459165
$306$	0.00735557	−	0.00534413i	0.000420490	−	0.000305504i
$307$	−0.461958	+	1.42176i	−0.0263653	+	0.0811441i	−0.963373	−	0.268164i	$-0.913583\pi$
$307$	−0.461958	+	1.42176i	−0.0263653	+	0.0811441i	0.937008	+	0.349308i	$0.113583\pi$
$308$	1.74808	+	5.38003i	0.0996061	+	0.306556i
$309$	1.27063			0.0722833
$310$	0.0424960	−	0.0614505i	0.00241361	−	0.00349015i
$311$	15.5000			0.878924			0.439462	−	0.898261i	$-0.355169\pi$
$311$	15.5000			0.878924			0.439462	+	0.898261i	$0.355169\pi$
$312$	0.0207541	+	0.0638745i	0.00117497	+	0.00361618i
$313$	0.790679	−	2.43346i	0.0446918	−	0.137547i	−0.926221	−	0.376982i	$-0.876962\pi$
$313$	0.790679	−	2.43346i	0.0446918	−	0.137547i	0.970913	+	0.239434i	$0.0769620\pi$
$314$	0.147178	−	0.106931i	0.00830572	−	0.00603446i
$315$	−0.306190			−0.0172518
$316$	−33.1988			−1.86758
$317$	5.09060	−	3.69854i	0.285917	−	0.207731i	−0.435577	−	0.900151i	$-0.643456\pi$
$317$	5.09060	−	3.69854i	0.285917	−	0.207731i	0.721494	+	0.692421i	$0.243456\pi$
$318$	−0.131926	−	0.0958495i	−0.00739802	−	0.00537497i
$319$	4.95992	+	3.60359i	0.277702	+	0.201763i
$320$	−3.30489	−	10.1714i	−0.184749	−	0.568598i
$321$	10.2906	−	7.47658i	0.574367	−	0.417302i
$322$	−0.00683512	−	0.0210363i	−0.000380907	−	0.00117231i
$323$	1.32053	−	4.06416i	0.0734760	−	0.226136i
$324$	−13.5255	−	9.82684i	−0.751416	−	0.545936i
$325$	0.992482	−	3.05454i	0.0550530	−	0.169436i
$326$	−0.0290314	+	0.0893494i	−0.00160790	+	0.00494861i
$327$	3.89279	+	2.82828i	0.215272	+	0.156404i
$328$	−0.127410	+	0.392128i	−0.00703504	+	0.0216516i
$329$	−0.772631	−	2.37791i	−0.0425965	−	0.131099i
$330$	0.0449060	−	0.0326261i	0.00247200	−	0.00179601i
$331$	−6.44300	−	19.8295i	−0.354140	−	1.08993i	−0.956507	−	0.291710i	$-0.905776\pi$
$331$	−6.44300	−	19.8295i	−0.354140	−	1.08993i	0.602367	−	0.798219i	$-0.294224\pi$
$332$	−16.5047	−	11.9914i	−0.905812	−	0.658111i
$333$	1.44176	+	1.04750i	0.0790077	+	0.0574025i
$334$	0.0529633	−	0.0384801i	0.00289802	−	0.00210554i
$335$	−11.7950			−0.644428
$336$	−7.65731			−0.417741
$337$	−22.5078	+	16.3529i	−1.22608	+	0.890799i	−0.996590	−	0.0825118i	$-0.973706\pi$
$337$	−22.5078	+	16.3529i	−1.22608	+	0.890799i	−0.229490	+	0.973311i	$0.573706\pi$
$338$	−0.00310087	+	0.00954350i	−0.000168665	+	0.000519098i
$339$	8.33328	+	25.6472i	0.452602	+	1.39296i
$340$	12.1092			0.656716
$341$	13.1857	+	3.94730i	0.714046	+	0.213758i
$342$	−0.00189512			−0.000102476
$343$	−4.48726	−	13.8104i	−0.242289	−	0.745689i
$344$	0.0521718	−	0.160568i	0.00281291	−	0.00865726i
$345$	3.48735	−	2.53371i	0.187753	−	0.136410i
$346$	−0.00275838			−0.000148292
$347$	14.8222			0.795699			0.397850	−	0.917451i	$-0.369757\pi$
$347$	14.8222			0.795699			0.397850	+	0.917451i	$0.369757\pi$
$348$	−6.71420	+	4.87815i	−0.359919	+	0.261496i
$349$	12.9427	+	9.40342i	0.692807	+	0.503354i	0.877582	−	0.479427i	$-0.159156\pi$
$349$	12.9427	+	9.40342i	0.692807	+	0.503354i	−0.184775	+	0.982781i	$0.559156\pi$
$350$	−0.0298339	−	0.0216756i	−0.00159469	−	0.00115861i
$351$	−1.65469	−	5.09262i	−0.0883210	−	0.271824i
$352$	−0.240808	+	0.174957i	−0.0128351	+	0.00932525i
$353$	−0.257006	−	0.790985i	−0.0136791	−	0.0420999i	0.943984	−	0.329991i	$-0.107046\pi$
$353$	−0.257006	−	0.790985i	−0.0136791	−	0.0420999i	−0.957663	+	0.287891i	$0.907046\pi$
$354$	0.0230418	−	0.0709155i	0.00122466	−	0.00376912i
$355$	−16.5705	−	12.0392i	−0.879472	−	0.638974i
$356$	6.88463	−	21.1887i	0.364884	−	1.12300i
$357$	2.67891	−	8.24483i	0.141783	−	0.436363i
$358$	−0.0857426	−	0.0622957i	−0.00453164	−	0.00329243i
$359$	−2.22720	+	6.85463i	−0.117547	+	0.361773i	−0.992470	−	0.122490i	$-0.960912\pi$
$359$	−2.22720	+	6.85463i	−0.117547	+	0.361773i	0.874922	+	0.484263i	$0.160912\pi$
$360$	−0.00331904	−	0.0102149i	−0.000174929	−	0.000538375i
$361$	14.6507	−	10.6444i	0.771090	−	0.560230i
$362$	0.000433801		0.00133510i	2.28001e−5		7.01714e-5i
$363$	−6.61820	−	4.80841i	−0.347366	−	0.252376i
$364$	−1.85130	−	1.34505i	−0.0970345	−	0.0704997i
$365$	−9.47744	+	6.88576i	−0.496072	+	0.360417i
$366$	0.100687			0.00526301
$367$	15.4816			0.808133			0.404066	−	0.914730i	$-0.367597\pi$
$367$	15.4816			0.808133			0.404066	+	0.914730i	$0.367597\pi$
$368$	−6.23309	+	4.52861i	−0.324922	+	0.236070i
$369$	0.635209	−	1.95497i	0.0330677	−	0.101772i
$370$	−0.0369292	−	0.113656i	−0.00191986	−	0.00590871i
$371$	11.1125			0.576930
$372$	−10.5977	+	15.3245i	−0.549463	+	0.794540i
$373$	−35.3531			−1.83051			−0.915257	−	0.402870i	$-0.868013\pi$
$373$	−35.3531			−1.83051			−0.915257	+	0.402870i	$0.868013\pi$
$374$	−0.0347086	−	0.106822i	−0.00179474	−	0.00552363i
$375$	5.67811	−	17.4754i	0.293216	−	0.902427i
$376$	0.0709556	−	0.0515523i	0.00365926	−	0.00265861i
$377$	−2.48004			−0.127728
$378$	−0.0614820			−0.00316229
$379$	4.69532	−	3.41135i	0.241182	−	0.175229i	−0.460628	−	0.887593i	$-0.652376\pi$
$379$	4.69532	−	3.41135i	0.241182	−	0.175229i	0.701810	+	0.712364i	$0.252376\pi$
$380$	−2.04198	−	1.48359i	−0.104752	−	0.0761065i
$381$	−21.9583	−	15.9536i	−1.12496	−	0.817329i
$382$	0.0324597	+	0.0999008i	0.00166078	+	0.00511137i
$383$	2.66850	−	1.93878i	0.136354	−	0.0990669i	−0.517517	−	0.855673i	$-0.673144\pi$
$383$	2.66850	−	1.93878i	0.136354	−	0.0990669i	0.653871	+	0.756606i	$0.273144\pi$
$384$	−0.166016	−	0.510944i	−0.00847196	−	0.0260740i
$385$	−1.16888	+	3.59743i	−0.0595714	+	0.183342i
$386$	0.0257607	+	0.0187162i	0.00131118	+	0.000952630i
$387$	−0.260105	+	0.800522i	−0.0132219	+	0.0406928i
$388$	5.72908	−	17.6323i	0.290850	−	0.895145i
$389$	7.57201	+	5.50139i	0.383916	+	0.278932i	0.762958	−	0.646448i	$-0.223746\pi$
$389$	7.57201	+	5.50139i	0.383916	+	0.278932i	−0.379042	+	0.925380i	$0.623746\pi$
$390$	−0.00693857	+	0.0213547i	−0.000351348	+	0.00108134i
$391$	−2.69542	−	8.29566i	−0.136313	−	0.419530i
$392$	0.184790	−	0.134258i	0.00933329	−	0.00678103i
$393$	−8.52280	−	26.2305i	−0.429918	−	1.32315i
$394$	0.0588667	+	0.0427692i	0.00296566	+	0.00215468i
$395$	−17.9592	−	13.0481i	−0.903627	−	0.656524i
$396$	0.800367	−	0.581500i	0.0402199	−	0.0292215i
$397$	−15.2404			−0.764892			−0.382446	−	0.923978i	$-0.624918\pi$
$397$	−15.2404			−0.764892			−0.382446	+	0.923978i	$0.624918\pi$
$398$	−0.0372833			−0.00186884
$399$	−1.46188	+	1.06212i	−0.0731853	+	0.0531723i
$400$	−3.96933	+	12.2163i	−0.198466	+	0.610817i
$401$	−2.68415	−	8.26097i	−0.134040	−	0.412533i	0.861399	−	0.507928i	$-0.169589\pi$
$401$	−2.68415	−	8.26097i	−0.134040	−	0.412533i	−0.995439	+	0.0953951i	$0.969589\pi$
$402$	−0.148099			−0.00738652
$403$	−5.25376	+	1.84337i	−0.261708	+	0.0918248i
$404$	−0.452508			−0.0225131
$405$	−3.45450	−	10.6319i	−0.171655	−	0.528301i
$406$	−0.00879940	+	0.0270818i	−0.000436707	+	0.00134404i
$407$	17.8110	−	12.9404i	0.882856	−	0.641433i
$408$	0.304099			0.0150551
$409$	32.5034			1.60719			0.803596	−	0.595175i	$-0.202917\pi$
$409$	32.5034			1.60719			0.803596	+	0.595175i	$0.202917\pi$
$410$	−0.111518	+	0.0810226i	−0.00550748	+	0.00400142i
$411$	9.42386	+	6.84684i	0.464845	+	0.337730i
$412$	−1.22861	−	0.892634i	−0.0605291	−	0.0439769i
$413$	1.57020	+	4.83259i	0.0772647	+	0.237796i
$414$	−0.00312950	+	0.00227371i	−0.000153806	+	0.000111747i
$415$	−4.21541	−	12.9737i	−0.206926	−	0.636853i
$416$	0.0372080	−	0.114514i	0.00182427	−	0.00561453i
$417$	−5.64355	−	4.10028i	−0.276366	−	0.200792i
$418$	−0.00723460	+	0.0222658i	−0.000353856	+	0.00108906i
$419$	3.04037	−	9.35730i	0.148532	−	0.457134i	−0.848916	−	0.528527i	$-0.822744\pi$
$419$	3.04037	−	9.35730i	0.148532	−	0.457134i	0.997448	+	0.0713930i	$0.0227445\pi$
$420$	−4.14251	−	3.00971i	−0.202134	−	0.146859i
$421$	9.57465	−	29.4678i	0.466640	−	1.43617i	−0.390268	−	0.920701i	$-0.627618\pi$
$421$	9.57465	−	29.4678i	0.466640	−	1.43617i	0.856908	−	0.515469i	$-0.172382\pi$
$422$	0.00529090	+	0.0162837i	0.000257557	+	0.000792679i
$423$	−0.353753	+	0.257017i	−0.0172001	+	0.0124966i
$424$	0.120457	+	0.370728i	0.00584991	+	0.0180042i
$425$	−11.7650	−	8.54776i	−0.570685	−	0.414627i
$426$	−0.208062	−	0.151166i	−0.0100806	−	0.00732401i
$427$	−5.55101	+	4.03304i	−0.268632	+	0.195173i
$428$	−15.2027			−0.734852
$429$	−4.13647			−0.199711
$430$	0.0456644	−	0.0331771i	0.00220213	−	0.00159994i
$431$	−5.51036	+	16.9591i	−0.265425	+	0.816893i	0.726171	+	0.687514i	$0.241298\pi$
$431$	−5.51036	+	16.9591i	−0.265425	+	0.816893i	−0.991595	+	0.129378i	$0.958702\pi$
$432$	6.61778	+	20.3674i	0.318398	+	0.979928i
$433$	11.0270			0.529925			0.264963	−	0.964259i	$-0.414640\pi$
$433$	11.0270			0.529925			0.264963	+	0.964259i	$0.414640\pi$
$434$	0.00148861	+	0.0639110i	7.14554e−5	+	0.00306783i
$435$	−5.54937			−0.266072
$436$	−1.77715	−	5.46950i	−0.0851099	−	0.261941i
$437$	−0.561830	+	1.72913i	−0.0268760	+	0.0827157i
$438$	−0.119000	+	0.0864586i	−0.00568605	+	0.00413115i
$439$	−1.14825			−0.0548031			−0.0274015	−	0.999625i	$-0.508723\pi$
$439$	−1.14825			−0.0548031			−0.0274015	+	0.999625i	$0.508723\pi$
$440$	−0.132686			−0.00632556
$441$	−0.921279	+	0.669348i	−0.0438704	+	0.0318737i
$442$	0.0367581	+	0.0267063i	0.00174840	+	0.00127029i
$443$	12.1237	+	8.80840i	0.576016	+	0.418500i	0.837285	−	0.546766i	$-0.184141\pi$
$443$	12.1237	+	8.80840i	0.576016	+	0.418500i	−0.261270	+	0.965266i	$0.584141\pi$
$444$	9.20940	+	28.3436i	0.437059	+	1.34513i
$445$	12.0521	−	8.75637i	0.571325	−	0.415092i
$446$	−0.0800164	−	0.246265i	−0.00378889	−	0.0116610i
$447$	−6.51538	+	20.0523i	−0.308167	+	0.948440i
$448$	7.40334	+	5.37884i	0.349775	+	0.254126i
$449$	2.93624	−	9.03683i	0.138570	−	0.426474i	−0.857558	−	0.514387i	$-0.828020\pi$
$449$	2.93624	−	9.03683i	0.138570	−	0.426474i	0.996128	+	0.0879125i	$0.0280196\pi$
$450$	−0.00199291	+	0.00613355i	−9.39467e−5	+	0.000289138i
$451$	−20.5441	−	14.9262i	−0.967385	−	0.702846i
$452$	9.95987	−	30.6533i	0.468473	−	1.44181i
$453$	−0.364794	−	1.12272i	−0.0171395	−	0.0527499i
$454$	−0.0372380	+	0.0270550i	−0.00174767	+	0.00126975i
$455$	−0.472834	−	1.45523i	−0.0221668	−	0.0682225i
$456$	−0.0512802	−	0.0372573i	−0.00240142	−	0.00174473i
$457$	6.17713	+	4.48795i	0.288954	+	0.209937i	0.722813	−	0.691043i	$-0.242849\pi$
$457$	6.17713	+	4.48795i	0.288954	+	0.209937i	−0.433860	+	0.900981i	$0.642849\pi$
$458$	0.113115	−	0.0821831i	0.00528553	−	0.00384017i
$459$	−24.2454			−1.13168
$460$	−5.15199			−0.240213
$461$	−11.0521	+	8.02984i	−0.514749	+	0.373987i	−0.814622	−	0.579992i	$-0.803056\pi$
$461$	−11.0521	+	8.02984i	−0.514749	+	0.373987i	0.299873	+	0.953979i	$0.403056\pi$
$462$	−0.0146766	+	0.0451699i	−0.000682817	+	0.00210149i
$463$	−1.52564	−	4.69543i	−0.0709023	−	0.218215i	0.909326	−	0.416084i	$-0.136598\pi$
$463$	−1.52564	−	4.69543i	−0.0709023	−	0.218215i	−0.980228	+	0.197869i	$0.936598\pi$
$464$	9.91864			0.460461
$465$	−11.7559	+	4.12476i	−0.545167	+	0.191281i
$466$	0.211515			0.00979825
$467$	−2.36331	−	7.27352i	−0.109361	−	0.336578i	0.881368	−	0.472430i	$-0.156623\pi$
$467$	−2.36331	−	7.27352i	−0.109361	−	0.336578i	−0.990729	+	0.135852i	$0.956623\pi$
$468$	−0.123667	+	0.380608i	−0.00571652	+	0.0175936i
$469$	8.16488	−	5.93213i	0.377019	−	0.273920i
$470$	0.0293221			0.00135253
$471$	−30.3357			−1.39779
$472$	−0.144202	+	0.104769i	−0.00663743	+	0.00482237i
$473$	8.41240	+	6.11197i	0.386803	+	0.281029i
$474$	−0.225499	−	0.163835i	−0.0103575	−	0.00752517i
$475$	0.936685	+	2.88282i	0.0429781	+	0.132273i
$476$	−8.38244	+	6.09020i	−0.384208	+	0.279144i
$477$	−0.600545	−	1.84829i	−0.0274971	−	0.0846272i
$478$	0.0651841	−	0.200616i	0.00298145	−	0.00917597i
$479$	19.8383	+	14.4134i	0.906435	+	0.658564i	0.940111	−	0.340869i	$-0.110721\pi$
$479$	19.8383	+	14.4134i	0.906435	+	0.658564i	−0.0336757	+	0.999433i	$0.510721\pi$
$480$	0.0832573	−	0.256239i	0.00380016	−	0.0116957i
$481$	−2.75203	+	8.46987i	−0.125482	+	0.386193i
$482$	−0.0346528	−	0.0251767i	−0.00157839	−	0.00114677i
$483$	−1.13977	+	3.50784i	−0.0518611	+	0.159612i
$484$	3.02136	+	9.29879i	0.137335	+	0.422672i
$485$	10.0292	−	7.28667i	0.455404	−	0.330871i
$486$	0.00643750	+	0.0198126i	0.000292011	+	0.000898718i
$487$	28.1037	+	20.4185i	1.27350	+	0.925251i	0.999336	−	0.0364317i	$-0.0115991\pi$
$487$	28.1037	+	20.4185i	1.27350	+	0.925251i	0.274163	+	0.961683i	$0.411599\pi$
$488$	−0.194720	−	0.141473i	−0.00881457	−	0.00640416i
$489$	12.6740	−	9.20817i	0.573136	−	0.416408i
$490$	0.0763636			0.00344976
$491$	−40.3196			−1.81960			−0.909798	−	0.415052i	$-0.863764\pi$
$491$	−40.3196			−1.81960			−0.909798	+	0.415052i	$0.863764\pi$
$492$	27.8104	−	20.2054i	1.25379	−	0.910931i
$493$	−3.47003	+	10.6797i	−0.156282	+	0.480988i
$494$	−0.00292654	−	0.00900697i	−0.000131671	−	0.000405243i
$495$	0.661514			0.0297328
$496$	21.0119	−	7.37237i	0.943460	−	0.331029i
$497$	17.5256			0.786133
$498$	−0.0529293	−	0.162900i	−0.00237182	−	0.00729970i
$499$	−13.6889	+	42.1300i	−0.612798	+	1.88600i	−0.182867	+	0.983138i	$0.558538\pi$
$499$	−13.6889	+	42.1300i	−0.612798	+	1.88600i	−0.429931	+	0.902862i	$0.641462\pi$
$500$	−17.7671	+	12.9085i	−0.794569	+	0.577288i
$501$	−10.9166			−0.487717
$502$	0.193936			0.00865579
$503$	33.1105	−	24.0562i	1.47633	−	1.07261i	0.497608	−	0.867402i	$-0.334212\pi$
$503$	33.1105	−	24.0562i	1.47633	−	1.07261i	0.978718	−	0.205211i	$-0.0657880\pi$
$504$	0.00743504	+	0.00540187i	0.000331183	+	0.000240618i
$505$	−0.244788	−	0.177849i	−0.0108929	−	0.00791419i
$506$	0.0147671	+	0.0454484i	0.000656477	+	0.00202043i
$507$	1.35372	−	0.983534i	0.0601207	−	0.0436803i
$508$	10.0244	+	30.8521i	0.444763	+	1.36884i
$509$	−5.43574	+	16.7295i	−0.240935	+	0.741521i	0.755344	+	0.655329i	$0.227470\pi$
$509$	−5.43574	+	16.7295i	−0.240935	+	0.741521i	−0.996279	+	0.0861922i	$0.972530\pi$
$510$	0.0822505	+	0.0597585i	0.00364211	+	0.00264615i
$511$	3.09750	−	9.53312i	0.137025	−	0.421720i
$512$	−0.248020	+	0.763326i	−0.0109610	+	0.0337346i
$513$	4.08850	+	2.97047i	0.180512	+	0.131149i
$514$	0.0176981	−	0.0544690i	0.000780628	−	0.00240253i
$515$	−0.313794	−	0.965759i	−0.0138274	−	0.0425564i
$516$	−11.3878	+	8.27371i	−0.501319	+	0.364230i
$517$	1.66925	+	5.13741i	0.0734134	+	0.225943i
$518$	0.0827257	+	0.0601037i	0.00363476	+	0.00264081i
$519$	0.372119	+	0.270360i	0.0163342	+	0.0118675i
$520$	0.0434234	−	0.0315489i	0.00190424	−	0.00138351i
$521$	−13.4422			−0.588914			−0.294457	−	0.955665i	$-0.595139\pi$
$521$	−13.4422			−0.588914			−0.294457	+	0.955665i	$0.595139\pi$
$522$	0.00497993			0.000217966
$523$	−29.7095	+	21.5852i	−1.29911	+	0.943856i	−0.999946	−	0.0103463i	$-0.996707\pi$
$523$	−29.7095	+	21.5852i	−1.29911	+	0.943856i	−0.299161	+	0.954203i	$0.596707\pi$
$524$	−10.1864	+	31.3504i	−0.444994	+	1.36955i
$525$	1.90022	+	5.84828i	0.0829325	+	0.255240i
$526$	−0.104100			−0.00453896
$527$	0.587031	+	25.2032i	0.0255715	+	1.09787i
$528$	16.5434			0.719959
$529$	−5.96060	−	18.3448i	−0.259156	−	0.797601i
$530$	−0.0402716	+	0.123943i	−0.00174928	+	0.00538375i
$531$	0.718926	−	0.522330i	0.0311987	−	0.0226672i
$532$	2.15968			0.0936342
$533$	10.2724			0.444946
$534$	0.151328	−	0.109946i	0.00654861	−	0.00475784i
$535$	−8.22407	−	5.97513i	−0.355557	−	0.258328i
$536$	0.286411	+	0.208090i	0.0123711	+	0.00898810i
$537$	5.46123	+	16.8079i	0.235670	+	0.725316i
$538$	0.0199379	−	0.0144857i	0.000859583	−	0.000624523i
$539$	4.34722	+	13.3794i	0.187248	+	0.576290i
$540$	−4.42529	+	13.6196i	−0.190434	+	0.586095i
$541$	−9.58479	−	6.96376i	−0.412082	−	0.299395i	0.362362	−	0.932037i	$-0.381970\pi$
$541$	−9.58479	−	6.96376i	−0.412082	−	0.299395i	−0.774444	+	0.632642i	$0.781970\pi$
$542$	0.0381577	−	0.117437i	0.00163902	−	0.00504437i
$543$	0.0723369	−	0.222630i	0.00310427	−	0.00955397i
$544$	−0.441067	−	0.320454i	−0.0189106	−	0.0137393i
$545$	1.18831	−	3.65725i	0.0509017	−	0.156659i
$546$	−0.00593698	−	0.0182721i	−0.000254079	−	0.000781976i
$547$	22.6299	−	16.4416i	0.967585	−	0.702991i	0.0126849	−	0.999920i	$-0.495962\pi$
$547$	22.6299	−	16.4416i	0.967585	−	0.702991i	0.954900	+	0.296928i	$0.0959622\pi$
$548$	−4.30220	−	13.2408i	−0.183781	−	0.565620i
$549$	0.970788	+	0.705319i	0.0414322	+	0.0301023i
$550$	0.0644553	+	0.0468295i	0.00274838	+	0.00199682i
$551$	1.89359	−	1.37578i	0.0806698	−	0.0586100i
$552$	−0.129382			−0.00550685
$553$	18.9944			0.807725
$554$	0.146846	−	0.106690i	0.00623891	−	0.00453283i
$555$	−6.15799	+	18.9523i	−0.261392	+	0.804482i
$556$	2.57641	+	7.92937i	0.109264	+	0.336280i
$557$	28.4719			1.20639			0.603196	−	0.797593i	$-0.293894\pi$
$557$	28.4719			1.20639			0.603196	+	0.797593i	$0.293894\pi$
$558$	0.0105496	−	0.00370150i	0.000446600	−	0.000156697i
$559$	−4.20633			−0.177909
$560$	1.89105	+	5.82006i	0.0799115	+	0.245942i
$561$	−5.78770	+	17.8127i	−0.244357	+	0.752053i
$562$	−0.0417213	+	0.0303123i	−0.00175991	+	0.00127865i
$563$	42.4496			1.78904			0.894519	−	0.447030i	$-0.147518\pi$
$563$	42.4496			1.78904			0.894519	+	0.447030i	$0.147518\pi$
$564$	−7.31236			−0.307906
$565$	17.4356	−	12.6677i	0.733520	−	0.532934i
$566$	0.0974214	+	0.0707808i	0.00409493	+	0.00297514i
$567$	7.73849	+	5.62234i	0.324986	+	0.236116i
$568$	0.189975	+	0.584682i	0.00797116	+	0.0245327i
$569$	−12.3280	+	8.95679i	−0.516815	+	0.375488i	−0.815403	−	0.578894i	$-0.803484\pi$
$569$	−12.3280	+	8.95679i	−0.516815	+	0.375488i	0.298588	+	0.954382i	$0.403484\pi$
$570$	−0.00654849	−	0.0201542i	−0.000274286	−	0.000844165i
$571$	−8.96149	+	27.5806i	−0.375027	+	1.15421i	0.568434	+	0.822729i	$0.307549\pi$
$571$	−8.96149	+	27.5806i	−0.375027	+	1.15421i	−0.943461	+	0.331485i	$0.892451\pi$
$572$	3.99968	+	2.90594i	0.167235	+	0.121503i
$573$	5.41270	−	16.6586i	0.226119	−	0.695922i
$574$	0.0364473	−	0.112173i	0.00152128	−	0.00468202i
$575$	5.00552	+	3.63672i	0.208745	+	0.151662i
$576$	0.494544	−	1.52205i	0.0206060	−	0.0634187i
$577$	−8.84775	−	27.2306i	−0.368337	−	1.13362i	−0.947865	−	0.318672i	$-0.896763\pi$
$577$	−8.84775	−	27.2306i	−0.368337	−	1.13362i	0.579528	−	0.814952i	$-0.303237\pi$
$578$	0.0284263	−	0.0206529i	0.00118238	−	0.000859048i
$579$	−1.64078	−	5.04981i	−0.0681886	−	0.209863i
$580$	5.36586	+	3.89852i	0.222805	+	0.161877i
$581$	9.44301	+	6.86075i	0.391762	+	0.284632i
$582$	0.125929	−	0.0914925i	0.00521991	−	0.00379249i
$583$	−24.0081			−0.994316
$584$	0.351616			0.0145500
$585$	−0.216490	+	0.157289i	−0.00895074	+	0.00650310i
$586$	−0.0919156	+	0.282887i	−0.00379700	+	0.0116860i
$587$	−7.86896	−	24.2182i	−0.324787	−	0.999590i	−0.971537	−	0.236888i	$-0.923872\pi$
$587$	−7.86896	−	24.2182i	−0.324787	−	0.999590i	0.646750	−	0.762702i	$-0.276128\pi$
$588$	−19.0436			−0.785344
$589$	2.98883	−	4.32195i	0.123153	−	0.178083i
$590$	−0.0595909			−0.00245332
$591$	−3.74942	−	11.5395i	−0.154230	−	0.474673i
$592$	11.0064	−	33.8743i	0.452362	−	1.39223i
$593$	−18.7923	+	13.6534i	−0.771707	+	0.560678i	−0.902479	−	0.430734i	$-0.858255\pi$
$593$	−18.7923	+	13.6534i	−0.771707	+	0.560678i	0.130772	+	0.991413i	$0.458255\pi$
$594$	0.132830			0.00545008
$595$	−6.92820			−0.284028
$596$	20.3870	−	14.8120i	0.835082	−	0.606723i
$597$	5.02969	+	3.65429i	0.205852	+	0.149560i
$598$	−0.0156391	−	0.0113624i	−0.000639529	−	0.000464645i
$599$	2.89753	+	8.91767i	0.118390	+	0.364366i	0.992639	−	0.121111i	$-0.0386458\pi$
$599$	2.89753	+	8.91767i	0.118390	+	0.364366i	−0.874249	+	0.485477i	$0.838646\pi$
$600$	−0.174509	+	0.126789i	−0.00712432	+	0.00517612i
$601$	−12.5333	−	38.5734i	−0.511242	−	1.57344i	−0.790017	−	0.613085i	$-0.789928\pi$
$601$	−12.5333	−	38.5734i	−0.511242	−	1.57344i	0.278774	−	0.960357i	$-0.410072\pi$
$602$	−0.0149244	+	0.0459327i	−0.000608275	+	0.00187208i
$603$	−1.42792	−	1.03744i	−0.0581492	−	0.0422479i
$604$	−0.435998	+	1.34186i	−0.0177405	+	0.0545997i
$605$	−2.02027	+	6.21776i	−0.0821357	+	0.252788i
$606$	−0.00307360	−	0.00223310i	−0.000124856	−	9.07135e-5i
$607$	−4.18681	+	12.8857i	−0.169937	+	0.523013i	−0.999366	−	0.0355993i	$-0.988666\pi$
$607$	−4.18681	+	12.8857i	−0.169937	+	0.523013i	0.829429	+	0.558612i	$0.188666\pi$
$608$	0.0351162	+	0.108076i	0.00142415	+	0.00438308i
$609$	3.84147	−	2.79099i	0.155664	−	0.113097i
$610$	−0.0248658	−	0.0765290i	−0.00100679	−	0.00309857i
$611$	−1.76781	−	1.28439i	−0.0715181	−	0.0519609i
$612$	1.46596	+	1.06508i	0.0592580	+	0.0430535i
$613$	17.0306	−	12.3734i	0.687858	−	0.499758i	−0.188097	−	0.982150i	$-0.560232\pi$
$613$	17.0306	−	12.3734i	0.687858	−	0.499758i	0.875955	+	0.482392i	$0.160232\pi$
$614$	0.0150010			0.000605393
$615$	22.9856			0.926871
$616$	0.0918499	−	0.0667329i	0.00370074	−	0.00268874i
$617$	7.35402	−	22.6333i	0.296062	−	0.911184i	−0.686801	−	0.726845i	$-0.740986\pi$
$617$	7.35402	−	22.6333i	0.296062	−	0.911184i	0.982863	−	0.184339i	$-0.0590143\pi$
$618$	−0.00394005	−	0.0121262i	−0.000158492	−	0.000487788i
$619$	20.2024			0.812005			0.406002	−	0.913872i	$-0.366922\pi$
$619$	20.2024			0.812005			0.406002	+	0.913872i	$0.366922\pi$
$620$	14.2649	+	4.27036i	0.572890	+	0.171502i
$621$	10.3154			0.413943
$622$	−0.0480635	−	0.147924i	−0.00192717	−	0.00593122i
$623$	−3.93898	+	12.1229i	−0.157812	+	0.485695i
$624$	−5.41406	+	3.93354i	−0.216736	+	0.157468i
$625$	1.37395			0.0549581
$626$	−0.0256755			−0.00102620
$627$	3.15834	−	2.29467i	0.126132	−	0.0916402i
$628$	29.3325	+	21.3113i	1.17049	+	0.850413i
$629$	32.6228	+	23.7019i	1.30076	+	0.945055i
$630$	0.000949455		0.00292212i	3.78272e−5		0.000116420i
$631$	−0.601503	+	0.437018i	−0.0239455	+	0.0173974i	−0.599694	−	0.800230i	$-0.704711\pi$
$631$	−0.601503	+	0.437018i	−0.0239455	+	0.0173974i	0.575748	+	0.817627i	$0.304711\pi$
$632$	0.205896	+	0.633682i	0.00819010	+	0.0252065i
$633$	0.882265	−	2.71533i	0.0350669	−	0.107925i
$634$	−0.0510823	−	0.0371135i	−0.00202874	−	0.00147397i
$635$	−6.70298	+	20.6296i	−0.266000	+	0.818663i
$636$	10.0429	−	30.9090i	0.398228	−	1.22562i
$637$	−4.60391	−	3.34494i	−0.182414	−	0.132531i
$638$	0.0190108	−	0.0585093i	0.000752646	−	0.00231641i
$639$	−0.947129	−	2.91496i	−0.0374678	−	0.115314i
$640$	−0.347352	+	0.252366i	−0.0137303	+	0.00997564i
$641$	−13.5946	−	41.8399i	−0.536955	−	1.65258i	−0.739387	−	0.673281i	$-0.764884\pi$
$641$	−13.5946	−	41.8399i	−0.536955	−	1.65258i	0.202432	−	0.979296i	$-0.435116\pi$
$642$	−0.103263	−	0.0750247i	−0.00407545	−	0.00296099i
$643$	−18.0974	−	13.1486i	−0.713693	−	0.518528i	0.170670	−	0.985328i	$-0.445407\pi$
$643$	−18.0974	−	13.1486i	−0.713693	−	0.518528i	−0.884363	+	0.466800i	$0.845407\pi$
$644$	3.56639	−	2.59113i	0.140535	−	0.102105i
$645$	−9.41216			−0.370603
$646$	−0.0428811			−0.00168713
$647$	35.2365	−	25.6008i	1.38529	−	1.00647i	0.388925	−	0.921269i	$-0.372846\pi$
$647$	35.2365	−	25.6008i	1.38529	−	1.00647i	0.996364	−	0.0852018i	$-0.0271535\pi$
$648$	−0.103686	+	0.319113i	−0.00407317	+	0.0125359i
$649$	−3.39238	−	10.4407i	−0.133163	−	0.409832i
$650$	−0.0322286			−0.00126411
$651$	6.06335	−	8.76780i	0.237641	−	0.343637i
$652$	−18.7237			−0.733277
$653$	4.59650	+	14.1466i	0.179875	+	0.553598i	0.999823	−	0.0188406i	$-0.00599749\pi$
$653$	4.59650	+	14.1466i	0.179875	+	0.553598i	−0.819948	+	0.572439i	$0.805997\pi$
$654$	0.0149206	−	0.0459210i	0.000583443	−	0.00179565i
$655$	−17.8321	+	12.9558i	−0.696758	+	0.506224i
$656$	−41.0833			−1.60403
$657$	−1.75300			−0.0683910
$658$	−0.0202978	+	0.0147472i	−0.000791291	+	0.000574906i
$659$	38.0841	+	27.6697i	1.48355	+	1.07786i	0.976392	+	0.216005i	$0.0693028\pi$
$659$	38.0841	+	27.6697i	1.48355	+	1.07786i	0.507155	+	0.861855i	$0.330697\pi$
$660$	8.94976	+	6.50238i	0.348369	+	0.253105i
$661$	14.9105	+	45.8898i	0.579951	+	1.78491i	0.618663	+	0.785656i	$0.287674\pi$
$661$	14.9105	+	45.8898i	0.579951	+	1.78491i	−0.0387121	+	0.999250i	$0.512326\pi$
$662$	−0.169264	+	0.122978i	−0.00657864	+	0.00477966i
$663$	−2.34124	−	7.20560i	−0.0909263	−	0.279842i
$664$	−0.126524	+	0.389402i	−0.00491010	+	0.0151117i
$665$	1.16830	+	0.848822i	0.0453048	+	0.0329159i
$666$	0.00552609	−	0.0170076i	0.000214132	−	0.000659029i
$667$	1.47636	−	4.54376i	0.0571648	−	0.175935i
$668$	10.5556	+	7.66907i	0.408407	+	0.296725i
$669$	−13.3428	+	41.0650i	−0.515864	+	1.58767i
$670$	0.0365747	+	0.112565i	0.00141300	+	0.00434878i
$671$	11.9928	−	8.71327i	0.462976	−	0.336372i
$672$	0.0712390	+	0.219251i	0.00274810	+	0.00845779i
$673$	11.7815	+	8.55977i	0.454144	+	0.329955i	0.791230	−	0.611519i	$-0.209441\pi$
$673$	11.7815	+	8.55977i	0.454144	+	0.329955i	−0.337086	+	0.941474i	$0.609441\pi$
$674$	0.225858	+	0.164095i	0.00869972	+	0.00632072i
$675$	13.9134	−	10.1087i	0.535527	−	0.389083i
$676$	−1.99990			−0.0769192
$677$	−43.1924			−1.66002			−0.830009	−	0.557750i	$-0.811665\pi$
$677$	−43.1924			−1.66002			−0.830009	+	0.557750i	$0.811665\pi$
$678$	0.218924	−	0.159057i	0.00840771	−	0.00610856i
$679$	−3.27784	+	10.0882i	−0.125792	+	0.387148i
$680$	−0.0751003	−	0.231135i	−0.00287997	−	0.00886362i
$681$	7.67535			0.294120
$682$	−0.00321609	−	0.138078i	−0.000123150	−	0.00528727i
$683$	−10.4831			−0.401126			−0.200563	−	0.979681i	$-0.564277\pi$
$683$	−10.4831			−0.401126			−0.200563	+	0.979681i	$0.564277\pi$
$684$	−0.116715	−	0.359211i	−0.00446270	−	0.0137348i
$685$	2.87673	−	8.85365i	0.109914	−	0.338281i
$686$	−0.117885	+	0.0856483i	−0.00450086	+	0.00327007i
$687$	−23.3149			−0.889518
$688$	16.8228			0.641362
$689$	7.85700	−	5.70845i	0.299328	−	0.217474i
$690$	−0.0349943	−	0.0254248i	−0.00133221	−	0.000967906i
$691$	−17.5493	−	12.7503i	−0.667607	−	0.485045i	0.201616	−	0.979465i	$-0.435381\pi$
$691$	−17.5493	−	12.7503i	−0.667607	−	0.485045i	−0.869223	+	0.494420i	$0.835381\pi$
$692$	−0.169881	−	0.522839i	−0.00645789	−	0.0198754i
$693$	−0.457923	+	0.332700i	−0.0173950	+	0.0126382i
$694$	−0.0459618	−	0.141456i	−0.00174469	−	0.00536960i
$695$	−1.72275	+	5.30208i	−0.0653476	+	0.201119i
$696$	0.134752	+	0.0979034i	0.00510778	+	0.00371102i
$697$	14.3730	−	44.2354i	0.544415	−	1.67554i
$698$	0.0496079	−	0.152677i	0.00187769	−	0.00577893i
$699$	−28.5344	−	20.7314i	−1.07927	−	0.784135i
$700$	2.27113	−	6.98982i	0.0858406	−	0.264190i
$701$	16.0902	+	49.5207i	0.607720	+	1.87037i	0.476884	+	0.878966i	$0.341766\pi$
$701$	16.0902	+	49.5207i	0.607720	+	1.87037i	0.130836	+	0.991404i	$0.458234\pi$
$702$	−0.0434705	+	0.0315831i	−0.00164069	+	0.00119203i
$703$	−2.59731	−	7.99370i	−0.0979594	−	0.301488i
$704$	−15.9947	−	11.6208i	−0.602823	−	0.437976i
$705$	−3.95569	−	2.87398i	−0.148980	−	0.108240i
$706$	−0.00675182	+	0.00490548i	−0.000254108	+	0.000184620i
$707$	0.258898			0.00973687
$708$	14.8608			0.558502
$709$	−24.3240	+	17.6724i	−0.913507	+	0.663702i	−0.941899	−	0.335895i	$-0.890961\pi$
$709$	−24.3240	+	17.6724i	−0.913507	+	0.663702i	0.0283923	+	0.999597i	$0.490961\pi$
$710$	−0.0635129	+	0.195473i	−0.00238360	+	0.00733596i
$711$	−1.02650	−	3.15926i	−0.0384969	−	0.118481i
$712$	−0.447137			−0.0167572
$713$	−0.249758	−	10.7230i	−0.00935350	−	0.401578i
$714$	−0.0869915			−0.00325557
$715$	1.02154	+	3.14399i	0.0382036	+	0.117579i
$716$	6.52722	−	20.0887i	0.243934	−	0.750750i
$717$	−28.4568	+	20.6751i	−1.06274	+	0.772126i
$718$	0.0723234			0.00269909
$719$	28.1725			1.05066			0.525328	−	0.850900i	$-0.323943\pi$
$719$	28.1725			1.05066			0.525328	+	0.850900i	$0.323943\pi$
$720$	0.865828	−	0.629061i	0.0322675	−	0.0234437i
$721$	0.702936	+	0.510713i	0.0261787	+	0.0190199i
$722$	−0.147015	−	0.106812i	−0.00547131	−	0.00397514i
$723$	2.20715	+	6.79291i	0.0820848	+	0.252631i
$724$	−0.226346	+	0.164450i	−0.00841207	+	0.00611173i
$725$	−2.46139	−	7.57538i	−0.0914137	−	0.281342i
$726$	−0.0253668	+	0.0780711i	−0.000941452	+	0.00289749i
$727$	11.4216	+	8.29826i	0.423603	+	0.307766i	0.779086	−	0.626917i	$-0.215684\pi$
$727$	11.4216	+	8.29826i	0.423603	+	0.307766i	−0.355483	+	0.934683i	$0.615684\pi$
$728$	−0.0141920	+	0.0436785i	−0.000525991	+	0.00161883i
$729$	8.82327	−	27.1552i	0.326788	−	1.00575i
$730$	0.0951026	+	0.0690961i	0.00351990	+	0.00255736i
$731$	−5.88544	+	18.1135i	−0.217681	+	0.669952i
$732$	6.20103	+	19.0848i	0.229197	+	0.705395i
$733$	−3.95453	+	2.87314i	−0.146064	+	0.106122i	−0.658417	−	0.752653i	$-0.728774\pi$
$733$	−3.95453	+	2.87314i	−0.146064	+	0.106122i	0.512353	+	0.858775i	$0.328774\pi$
$734$	−0.0480064	−	0.147749i	−0.00177195	−	0.00545350i
$735$	−10.3018	−	7.48470i	−0.379988	−	0.276077i
$736$	0.187656	+	0.136340i	0.00691709	+	0.00502556i
$737$	−17.6400	+	12.8162i	−0.649777	+	0.472091i
$738$	−0.0206270			−0.000759290
$739$	−13.6455			−0.501959			−0.250979	−	0.967992i	$-0.580753\pi$
$739$	−13.6455			−0.501959			−0.250979	+	0.967992i	$0.580753\pi$
$740$	19.2687	−	13.9995i	0.708330	−	0.514632i
$741$	−0.488005	+	1.50192i	−0.0179273	+	0.0551746i
$742$	−0.0344583	−	0.106052i	−0.00126500	−	0.00389328i
$743$	−25.1553			−0.922860			−0.461430	−	0.887177i	$-0.652663\pi$
$743$	−25.1553			−0.922860			−0.461430	+	0.887177i	$0.652663\pi$
$744$	0.358232	+	0.107241i	0.0131334	+	0.00393166i
$745$	16.8501			0.617340
$746$	0.109625	+	0.337392i	0.00401367	+	0.0123528i
$747$	0.630794	−	1.94139i	0.0230796	−	0.0710316i
$748$	18.1100	−	13.1577i	0.662167	−	0.481093i
$749$	8.69810			0.317822
$750$	−0.184384			−0.00673274
$751$	34.2070	−	24.8528i	1.24823	−	0.906892i	0.250112	−	0.968217i	$-0.419532\pi$
$751$	34.2070	−	24.8528i	1.24823	−	0.906892i	0.998118	+	0.0613244i	$0.0195324\pi$
$752$	7.07018	+	5.13679i	0.257823	+	0.187319i
$753$	−26.1629	−	19.0084i	−0.953428	−	0.692706i
$754$	0.00769027	+	0.0236682i	0.000280063	+	0.000861946i
$755$	−0.763251	+	0.554534i	−0.0277775	+	0.0201816i
$756$	−3.78649	−	11.6536i	−0.137713	−	0.423838i
$757$	−8.28314	+	25.4929i	−0.301056	+	0.926554i	0.680064	+	0.733153i	$0.261952\pi$
$757$	−8.28314	+	25.4929i	−0.301056	+	0.926554i	−0.981120	+	0.193402i	$0.938048\pi$
$758$	−0.0471158	−	0.0342316i	−0.00171132	−	0.00124335i
$759$	2.46243	−	7.57858i	0.0893805	−	0.275085i
$760$	−0.0156538	+	0.0481774i	−0.000567823	+	0.00174758i
$761$	22.2965	+	16.1993i	0.808247	+	0.587226i	0.913322	−	0.407239i	$-0.133508\pi$
$761$	22.2965	+	16.1993i	0.808247	+	0.587226i	−0.105075	+	0.994464i	$0.533508\pi$
$762$	−0.0841636	+	0.259029i	−0.00304893	+	0.00938363i
$763$	1.01678	+	3.12932i	0.0368099	+	0.113289i
$764$	−16.9366	+	12.3052i	−0.612746	+	0.445186i
$765$	0.374417	+	1.15234i	0.0135371	+	0.0416628i
$766$	−0.0267774	−	0.0194549i	−0.000967507	−	0.000702935i
$767$	3.59270	+	2.61025i	0.129725	+	0.0942505i
$768$	21.6486	−	15.7286i	0.781176	−	0.567558i
$769$	−15.7743			−0.568837			−0.284419	−	0.958700i	$-0.591801\pi$
$769$	−15.7743			−0.568837			−0.284419	+	0.958700i	$0.591801\pi$
$770$	0.0379566			0.00136786
$771$	−7.72627	+	5.61347i	−0.278255	+	0.202164i
$772$	−1.96105	+	6.03549i	−0.0705797	+	0.217222i
$773$	−6.75985	−	20.8047i	−0.243135	−	0.748292i	−0.995938	−	0.0900458i	$-0.971299\pi$
$773$	−6.75985	−	20.8047i	−0.243135	−	0.748292i	0.752803	−	0.658246i	$-0.228701\pi$
$774$	0.00844633			0.000303597
$775$	−10.8449	−	14.2183i	−0.389561	−	0.510738i
$776$	−0.372088			−0.0133572
$777$	−5.26908	−	16.2165i	−0.189027	−	0.581765i
$778$	0.0290227	−	0.0893226i	0.00104051	−	0.00320237i
$779$	−7.84331	+	5.69850i	−0.281016	+	0.204170i
$780$	−4.47501			−0.160231
$781$	−37.8636			−1.35487
$782$	−0.0708115	+	0.0514476i	−0.00253221	+	0.00183976i
$783$	−10.7436	−	7.80570i	−0.383946	−	0.278953i
$784$	18.4129	+	13.3777i	0.657603	+	0.477776i
$785$	7.49171	+	23.0571i	0.267391	+	0.822944i
$786$	−0.223903	+	0.162675i	−0.00798634	+	0.00580242i
$787$	4.90663	+	15.1011i	0.174903	+	0.538295i	0.999629	−	0.0272372i	$-0.00867094\pi$
$787$	4.90663	+	15.1011i	0.174903	+	0.538295i	−0.824726	+	0.565532i	$0.808671\pi$
$788$	−4.48127	+	13.7919i	−0.159639	+	0.491317i
$789$	14.0435	+	10.2032i	0.499963	+	0.363244i
$790$	−0.0688357	+	0.211855i	−0.00244907	+	0.00753745i
$791$	−5.69845	+	17.5380i	−0.202613	+	0.623580i
$792$	−0.0160632	−	0.0116706i	−0.000570780	−	0.000414696i
$793$	−1.85304	+	5.70308i	−0.0658035	+	0.202522i
$794$	0.0472584	+	0.145447i	0.00167714	+	0.00516170i
$795$	17.5810	−	12.7733i	0.623533	−	0.453023i
$796$	−2.29617	−	7.06688i	−0.0813855	−	0.250479i
$797$	30.5581	+	22.2017i	1.08242	+	0.786425i	0.978104	−	0.208119i	$-0.0667340\pi$
$797$	30.5581	+	22.2017i	1.08242	+	0.786425i	0.104318	+	0.994544i	$0.466734\pi$
$798$	0.0146694	+	0.0106579i	0.000519291	+	0.000377287i
$799$	−8.00442	+	5.81555i	−0.283176	+	0.205739i
$800$	0.386717			0.0136725
$801$	2.22922			0.0787658
$802$	−0.0705154	+	0.0512324i	−0.00248999	+	0.00180908i
$803$	−6.69205	+	20.5960i	−0.236157	+	0.726818i
$804$	−9.12100	−	28.0715i	−0.321673	−	0.990007i
$805$	2.94767			0.103892
$806$	0.0338834	+	0.0444232i	0.00119349	+	0.00156474i
$807$	−4.10951			−0.144662
$808$	0.00280641	+	0.00863723i	9.87290e−5	+	0.000303857i
$809$	−6.61476	+	20.3581i	−0.232562	+	0.715753i	0.764873	+	0.644181i	$0.222802\pi$
$809$	−6.61476	+	20.3581i	−0.232562	+	0.715753i	−0.997435	+	0.0715724i	$0.977198\pi$
$810$	−0.0907532	+	0.0659360i	−0.00318874	+	0.00231676i
$811$	−1.29980			−0.0456420			−0.0228210	−	0.999740i	$-0.507265\pi$
$811$	−1.29980			−0.0456420			−0.0228210	+	0.999740i	$0.507265\pi$
$812$	−5.67515			−0.199159
$813$	−16.6582	+	12.1029i	−0.584227	+	0.424466i
$814$	−0.178726	−	0.129852i	−0.00626436	−	0.00455132i
$815$	−10.1288	−	7.35899i	−0.354796	−	0.257774i
$816$	9.36356	+	28.8181i	0.327790	+	1.00883i
$817$	3.21167	−	2.33342i	0.112362	−	0.0816360i
$818$	−0.100789	−	0.310197i	−0.00352401	−	0.0108458i
$819$	0.0707550	−	0.217762i	0.00247238	−	0.00760921i
$820$	−22.2255	−	16.1478i	−0.776149	−	0.563905i
$821$	−0.844901	+	2.60034i	−0.0294872	+	0.0907524i	−0.964717	−	0.263289i	$-0.915193\pi$
$821$	−0.844901	+	2.60034i	−0.0294872	+	0.0907524i	0.935230	+	0.354041i	$0.115193\pi$
$822$	0.0361206	−	0.111168i	0.00125985	−	0.00387742i
$823$	−16.8839	−	12.2669i	−0.588535	−	0.427596i	0.253256	−	0.967399i	$-0.418499\pi$
$823$	−16.8839	−	12.2669i	−0.588535	−	0.427596i	−0.841791	+	0.539803i	$0.818499\pi$
$824$	−0.00941845	+	0.0289870i	−0.000328107	+	0.00100981i
$825$	−4.10537	−	12.6350i	−0.142931	−	0.439896i
$826$	0.0412509	−	0.0299705i	0.00143530	−	0.00104281i
$827$	−4.77303	−	14.6899i	−0.165975	−	0.510817i	0.833132	−	0.553074i	$-0.186545\pi$
$827$	−4.77303	−	14.6899i	−0.165975	−	0.510817i	−0.999107	+	0.0422566i	$0.986545\pi$
$828$	−0.623708	−	0.453150i	−0.0216753	−	0.0157481i
$829$	9.67375	+	7.02839i	0.335983	+	0.244106i	0.742965	−	0.669330i	$-0.233419\pi$
$829$	9.67375	+	7.02839i	0.335983	+	0.244106i	−0.406982	+	0.913436i	$0.633419\pi$
$830$	−0.110743	+	0.0804595i	−0.00384394	+	0.00279279i
$831$	−30.2674			−1.04996
$832$	7.99758			0.277266
$833$	−20.8459	+	15.1454i	−0.722268	+	0.524758i
$834$	−0.0216311	+	0.0665737i	−0.000749024	+	0.00230526i
$835$	2.69596	+	8.29732i	0.0932976	+	0.287141i
$836$	−4.66593			−0.161375
$837$	−28.5614	−	8.55020i	−0.987225	−	0.295538i
$838$	−0.0987292			−0.00341055
$839$	16.3297	+	50.2577i	0.563765	+	1.73509i	0.671593	+	0.740921i	$0.265611\pi$
$839$	16.3297	+	50.2577i	0.563765	+	1.73509i	−0.107828	+	0.994170i	$0.534389\pi$
$840$	−0.0317563	+	0.0977359i	−0.00109570	+	0.00337221i
$841$	18.4856	−	13.4306i	0.637434	−	0.463123i
$842$	−0.310915			−0.0107149
$843$	8.59943			0.296180
$844$	−2.76065	+	2.00573i	−0.0950256	+	0.0690401i
$845$	−1.08187	−	0.786021i	−0.0372173	−	0.0270399i
$846$	0.00354978	+	0.00257907i	0.000122044	+	8.86702e-5i
$847$	−1.72864	−	5.32022i	−0.0593969	−	0.182805i
$848$	−31.4233	+	22.8303i	−1.07908	+	0.783997i
$849$	−6.20509	−	19.0973i	−0.212958	−	0.655418i
$850$	−0.0450939	+	0.138785i	−0.00154671	+	0.00476027i
$851$	−13.8797	−	10.0842i	−0.475789	−	0.345681i
$852$	15.8389	−	48.7470i	0.542631	−	1.67005i
$853$	−8.39772	+	25.8455i	−0.287532	+	0.884934i	0.698096	+	0.716004i	$0.254031\pi$
$853$	−8.39772	+	25.8455i	−0.287532	+	0.884934i	−0.985628	+	0.168929i	$0.945969\pi$
$854$	0.0557023	+	0.0404701i	0.00190609	+	0.00138486i
$855$	0.0780428	−	0.240191i	0.00266901	−	0.00821436i
$856$	0.0942858	+	0.290182i	0.00322262	+	0.00991821i
$857$	12.4094	−	9.01593i	0.423896	−	0.307978i	−0.355308	−	0.934749i	$-0.615624\pi$
$857$	12.4094	−	9.01593i	0.423896	−	0.307978i	0.779203	+	0.626771i	$0.215624\pi$
$858$	0.0128267	+	0.0394764i	0.000437895	+	0.00134770i
$859$	−8.54714	−	6.20986i	−0.291625	−	0.211878i	0.432347	−	0.901707i	$-0.357685\pi$
$859$	−8.54714	−	6.20986i	−0.291625	−	0.211878i	−0.723972	+	0.689830i	$0.757685\pi$
$860$	9.10090	+	6.61219i	0.310338	+	0.225474i
$861$	−15.9115	+	11.5604i	−0.542261	+	0.393976i
$862$	0.178936			0.00609460
$863$	−16.3052			−0.555035			−0.277517	−	0.960721i	$-0.589512\pi$
$863$	−16.3052			−0.555035			−0.277517	+	0.960721i	$0.589512\pi$
$864$	0.521611	−	0.378972i	0.0177456	−	0.0128929i
$865$	0.113593	−	0.349603i	0.00386228	−	0.0118869i
$866$	−0.0341934	−	0.105236i	−0.00116194	−	0.00357608i
$867$	−5.85911			−0.198986
$868$	−12.0224	+	4.21825i	−0.408065	+	0.143177i
$869$	−41.0369			−1.39208
$870$	0.0172079	+	0.0529605i	0.000583402	+	0.00179553i
$871$	2.72561	−	8.38856i	0.0923537	−	0.284235i
$872$	−0.0933772	+	0.0678425i	−0.00316215	+	0.00229744i
$873$	1.85506			0.0627844
$874$	0.0182442			0.000617118
$875$	10.1653	−	7.38551i	0.343649	−	0.249676i
$876$	−23.7167	−	17.2312i	−0.801313	−	0.582188i
$877$	−7.76379	−	5.64073i	−0.262165	−	0.190474i	0.448936	−	0.893564i	$-0.351803\pi$
$877$	−7.76379	−	5.64073i	−0.262165	−	0.190474i	−0.711101	+	0.703090i	$0.751803\pi$
$878$	0.00356058	+	0.0109583i	0.000120164	+	0.000369826i
$879$	40.1267	−	29.1538i	1.35344	−	0.983333i
$880$	−4.08556	−	12.5741i	−0.137724	−	0.423872i
$881$	−4.82486	+	14.8494i	−0.162554	+	0.500288i	−0.998848	−	0.0479926i	$-0.984718\pi$
$881$	−4.82486	+	14.8494i	−0.162554	+	0.500288i	0.836294	+	0.548281i	$0.184718\pi$
$882$	0.00924469	+	0.00671666i	0.000311285	+	0.000226162i
$883$	15.2899	−	47.0576i	0.514548	−	1.58362i	−0.269556	−	0.962985i	$-0.586877\pi$
$883$	15.2899	−	47.0576i	0.514548	−	1.58362i	0.784103	−	0.620630i	$-0.213123\pi$
$884$	−2.79823	+	8.61208i	−0.0941148	+	0.289655i
$885$	8.03909	+	5.84074i	0.270231	+	0.196334i
$886$	0.0464689	−	0.143017i	0.00156115	−	0.00480473i
$887$	−4.60700	−	14.1789i	−0.154688	−	0.476080i	0.843441	−	0.537221i	$-0.180526\pi$
$887$	−4.60700	−	14.1789i	−0.154688	−	0.476080i	−0.998129	+	0.0611411i	$0.980526\pi$
$888$	0.483893	−	0.351569i	0.0162384	−	0.0117979i
$889$	−5.73540	−	17.6517i	−0.192359	−	0.592020i
$890$	−0.120938	−	0.0878669i	−0.00405387	−	0.00294531i
$891$	−16.7188	−	12.1469i	−0.560100	−	0.406936i
$892$	41.7504	−	30.3335i	1.39791	−	1.01564i
$893$	2.06229			0.0690119
$894$	0.211572			0.00707604
$895$	11.4264	−	8.30179i	0.381944	−	0.277498i
$896$	0.113525	−	0.349393i	0.00379259	−	0.0116724i
$897$	0.996103	+	3.06569i	0.0332589	+	0.102360i
$898$	−0.0953479			−0.00318180
$899$	−7.85396	+	11.3571i	−0.261944	+	0.378780i
$900$	−1.28532			−0.0428441
$901$	−13.5886	−	41.8214i	−0.452702	−	1.39327i
$902$	−0.0787433	+	0.242347i	−0.00262187	+	0.00806927i
$903$	6.51542	−	4.73373i	0.216820	−	0.157529i
$904$	−0.646865			−0.0215144
$905$	−0.187078			−0.00621867
$906$	−0.00958349	+	0.00696282i	−0.000318390	+	0.000231324i
$907$	16.6243	+	12.0782i	0.551999	+	0.401051i	0.828522	−	0.559956i	$-0.189182\pi$
$907$	16.6243	+	12.0782i	0.551999	+	0.401051i	−0.276523	+	0.961007i	$0.589182\pi$
$908$	−7.42152	−	5.39205i	−0.246292	−	0.178942i
$909$	−0.0139915	−	0.0430614i	−0.000464068	−	0.00142826i
$910$	−0.0124218	+	0.00902499i	−0.000411780	+	0.000299176i
$911$	1.70031	+	5.23301i	0.0563337	+	0.173377i	0.975264	−	0.221042i	$-0.0709458\pi$
$911$	1.70031	+	5.23301i	0.0563337	+	0.173377i	−0.918931	+	0.394419i	$0.870946\pi$
$912$	1.95172	−	6.00679i	0.0646280	−	0.198905i
$913$	−20.4013	−	14.8224i	−0.675186	−	0.490551i
$914$	0.0236762	−	0.0728680i	0.000783140	−	0.00241026i
$915$	−4.14640	+	12.7613i	−0.137076	+	0.421876i
$916$	22.5439	+	16.3791i	0.744870	+	0.541180i
$917$	5.82804	−	17.9369i	0.192459	−	0.592328i
$918$	0.0751818	+	0.231386i	0.00248137	+	0.00763686i
$919$	26.4777	−	19.2372i	0.873418	−	0.634575i	−0.0580838	−	0.998312i	$-0.518499\pi$
$919$	26.4777	−	19.2372i	0.873418	−	0.634575i	0.931502	+	0.363736i	$0.118499\pi$
$920$	0.0319521	+	0.0983385i	0.00105343	+	0.00324213i
$921$	−2.02371	−	1.47031i	−0.0666835	−	0.0484484i
$922$	0.110904	+	0.0805765i	0.00365243	+	0.00265364i
$923$	12.3914	−	9.00288i	0.407868	−	0.296334i
$924$	−9.46563			−0.311396
$925$	−28.6029			−0.940458
$926$	−0.0400800	+	0.0291198i	−0.00131711	+	0.000956937i
$927$	0.0469562	−	0.144516i	0.00154224	−	0.00474654i
$928$	−0.0922771	−	0.284000i	−0.00302914	−	0.00932274i
$929$	−59.7256			−1.95953			−0.979767	−	0.200139i	$-0.935861\pi$
$929$	−59.7256			−1.95953			−0.979767	+	0.200139i	$0.935861\pi$
$930$	0.0758182	+	0.0994022i	0.00248618	+	0.00325953i
$931$	5.37082			0.176022
$932$	13.0266	+	40.0917i	0.426700	+	1.31325i
$933$	−8.01465	+	24.6666i	−0.262388	+	0.807547i
$934$	−0.0620865	+	0.0451085i	−0.00203153	+	0.00147599i
$935$	14.9682			0.489511
$936$	0.00803183			0.000262528
$937$	39.8250	−	28.9346i	1.30103	−	0.945251i	0.301062	−	0.953605i	$-0.402659\pi$
$937$	39.8250	−	28.9346i	1.30103	−	0.945251i	0.999965	+	0.00835343i	$0.00265901\pi$
$938$	−0.0819316	−	0.0595268i	−0.00267516	−	0.00194362i
$939$	3.46375	+	2.51656i	0.113035	+	0.0821248i
$940$	1.80586	+	5.55787i	0.0589008	+	0.181278i
$941$	−42.2902	+	30.7256i	−1.37862	+	1.00163i	−0.381614	+	0.924322i	$0.624632\pi$
$941$	−42.2902	+	30.7256i	−1.37862	+	1.00163i	−0.997007	+	0.0773057i	$0.975368\pi$
$942$	0.0940671	+	0.289509i	0.00306487	+	0.00943270i
$943$	−6.11511	+	18.8204i	−0.199135	+	0.612876i
$944$	−14.3686	−	10.4394i	−0.467658	−	0.339774i
$945$	2.53189	−	7.79235i	0.0823623	−	0.253485i
$946$	0.0322438	−	0.0992362i	0.00104834	−	0.00322645i
$947$	−14.8486	−	10.7882i	−0.482516	−	0.350568i	0.319783	−	0.947491i	$-0.396390\pi$
$947$	−14.8486	−	10.7882i	−0.482516	−	0.350568i	−0.802299	+	0.596922i	$0.796390\pi$
$948$	17.1663	−	52.8323i	0.557534	−	1.71591i
$949$	−2.70707	−	8.33151i	−0.0878753	−	0.270452i
$950$	0.0246077	−	0.0178785i	0.000798378	−	0.000580055i
$951$	3.25360	+	10.0136i	0.105505	+	0.324712i
$952$	0.168234	+	0.122229i	0.00545248	+	0.00396146i
$953$	−19.0430	−	13.8356i	−0.616864	−	0.448178i	0.234961	−	0.972005i	$-0.424504\pi$
$953$	−19.0430	−	13.8356i	−0.616864	−	0.448178i	−0.851825	+	0.523827i	$0.824504\pi$
$954$	−0.0157769	+	0.0114626i	−0.000510796	+	0.000371115i
$955$	−13.9983			−0.452976
$956$	42.0403			1.35968
$957$	−8.29938	+	6.02985i	−0.268281	+	0.194917i
$958$	0.0760380	−	0.234021i	0.00245668	−	0.00756087i
$959$	2.46147	+	7.57562i	0.0794849	+	0.244629i
$960$	17.8955			0.577576
$961$	−8.19647	+	29.8968i	−0.264402	+	0.964413i
$962$	0.0893659			0.00288127
$963$	−0.470067	−	1.44672i	−0.0151477	−	0.0466198i
$964$	2.63797	−	8.11883i	0.0849632	−	0.261490i
$965$	−3.43298	+	2.49421i	−0.110512	+	0.0802913i
$966$	0.0370113			0.00119082
$967$	−54.3725			−1.74850			−0.874251	−	0.485474i	$-0.838647\pi$
$967$	−54.3725			−1.74850			−0.874251	+	0.485474i	$0.838647\pi$
$968$	0.158752	−	0.115340i	0.00510249	−	0.00370718i
$969$	5.78486	+	4.20295i	0.185836	+	0.135018i
$970$	−0.100640	−	0.0731190i	−0.00323135	−	0.00234771i
$971$	−1.80812	−	5.56481i	−0.0580253	−	0.178583i	0.917843	−	0.396944i	$-0.129929\pi$
$971$	−1.80812	−	5.56481i	−0.0580253	−	0.178583i	−0.975868	+	0.218360i	$0.929929\pi$
$972$	−3.35892	+	2.44040i	−0.107737	+	0.0782758i
$973$	−1.47407	−	4.53672i	−0.0472565	−	0.145441i
$974$	0.107718	−	0.331523i	0.00345152	−	0.0106227i
$975$	4.34779	+	3.15885i	0.139241	+	0.101164i
$976$	7.41105	−	22.8089i	0.237222	−	0.730094i
$977$	6.82781	−	21.0138i	0.218441	−	0.672292i	−0.780451	−	0.625218i	$-0.785010\pi$
$977$	6.82781	−	21.0138i	0.218441	−	0.672292i	0.998891	−	0.0470743i	$-0.0149897\pi$
$978$	−0.127178	−	0.0924006i	−0.00406672	−	0.00295464i
$979$	8.51004	−	26.1912i	0.271982	−	0.837075i
$980$	4.70301	+	14.4744i	0.150232	+	0.462367i
$981$	0.465537	−	0.338233i	0.0148635	−	0.0107989i
$982$	0.125026	+	0.384790i	0.00398973	+	0.0122791i
$983$	−4.99013	−	3.62554i	−0.159160	−	0.115637i	0.505355	−	0.862912i	$-0.331362\pi$
$983$	−4.99013	−	3.62554i	−0.159160	−	0.115637i	−0.664515	+	0.747275i	$0.731362\pi$
$984$	−0.558148	−	0.405518i	−0.0177931	−	0.0129274i
$985$	−7.84484	+	5.69961i	−0.249957	+	0.181605i
$986$	0.112682			0.00358851
$987$	4.18370			0.133169
$988$	1.52699	−	1.10942i	0.0485801	−	0.0352955i
$989$	2.50401	−	7.70656i	0.0796230	−	0.245054i
$990$	−0.00205127	−	0.00631316i	−6.51936e−5	−	0.000200645i
$991$	−44.2992			−1.40721			−0.703606	−	0.710591i	$-0.748428\pi$
$991$	−44.2992			−1.40721			−0.703606	+	0.710591i	$0.748428\pi$
$992$	−0.406574	−	0.533043i	−0.0129087	−	0.0169241i
$993$	34.8881			1.10714
$994$	−0.0543448	−	0.167256i	−0.00172371	−	0.00530504i
$995$	1.53536	−	4.72536i	0.0486743	−	0.149804i
$996$	27.6171	−	20.0650i	0.875081	−	0.635784i
$997$	−54.4513			−1.72449			−0.862245	−	0.506492i	$-0.830942\pi$
$997$	−54.4513			−1.72449			−0.862245	+	0.506492i	$0.830942\pi$
$998$	0.444515			0.0140709
$999$	−38.5801	+	28.0301i	−1.22062	+	0.886832i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	403.2.k.d.66.7	✓	48
31.8	even	5	inner	403.2.k.d.287.7	yes	48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
403.2.k.d.66.7	✓	48	1.1	even	1	trivial
403.2.k.d.287.7	yes	48	31.8	even	5	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 403 = 13 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	403.k (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.00310087 - 0.00954350i) q^{2} +(-0.517074 + 1.59139i) q^{3} +(1.61795 - 1.17551i) q^{4} +1.33726 q^{5} +0.0167908 q^{6} +(-0.925697 + 0.672558i) q^{7} +(-0.0324719 - 0.0235922i) q^{8} +(0.161891 + 0.117620i) q^{9} +O(q^{10})\)	\(q+(-0.00310087 - 0.00954350i) q^{2} +(-0.517074 + 1.59139i) q^{3} +(1.61795 - 1.17551i) q^{4} +1.33726 q^{5} +0.0167908 q^{6} +(-0.925697 + 0.672558i) q^{7} +(-0.0324719 - 0.0235922i) q^{8} +(0.161891 + 0.117620i) q^{9} +(-0.00414667 - 0.0127621i) q^{10} +(1.99994 - 1.45304i) q^{11} +(1.03410 + 3.18262i) q^{12} +(-0.309017 + 0.951057i) q^{13} +(0.00928903 + 0.00674887i) q^{14} +(-0.691462 + 2.12810i) q^{15} +(1.23588 - 3.80365i) q^{16} +(3.66312 + 2.66141i) q^{17} +(0.000620508 - 0.00190973i) q^{18} +(-0.291644 - 0.897589i) q^{19} +(2.16362 - 1.57196i) q^{20} +(-0.591649 - 1.82091i) q^{21} +(-0.0200687 - 0.0145807i) q^{22} +(-1.55851 - 1.13232i) q^{23} +(0.0543349 - 0.0394766i) q^{24} -3.21174 q^{25} +0.0100346 q^{26} +(-4.33204 + 3.14741i) q^{27} +(-0.707134 + 2.17633i) q^{28} +(0.766373 + 2.35865i) q^{29} +0.0224537 q^{30} +(3.37665 + 4.42699i) q^{31} -0.120407 q^{32} +(1.27824 + 3.93402i) q^{33} +(0.0140403 - 0.0432117i) q^{34} +(-1.23790 + 0.899385i) q^{35} +0.400195 q^{36} +8.90574 q^{37} +(-0.00766179 + 0.00556661i) q^{38} +(-1.35372 - 0.983534i) q^{39} +(-0.0434234 - 0.0315489i) q^{40} +(-3.17434 - 9.76960i) q^{41} +(-0.0155432 + 0.0112928i) q^{42} +(1.29983 + 4.00045i) q^{43} +(1.52774 - 4.70191i) q^{44} +(0.216490 + 0.157289i) q^{45} +(-0.00597359 + 0.0183848i) q^{46} +(-0.675245 + 2.07819i) q^{47} +(5.41406 + 3.93354i) q^{48} +(-1.75854 + 5.41223i) q^{49} +(0.00995919 + 0.0306512i) q^{50} +(-6.12945 + 4.45331i) q^{51} +(0.618003 + 1.90202i) q^{52} +(-7.85700 - 5.70845i) q^{53} +(0.0434705 + 0.0315831i) q^{54} +(2.67444 - 1.94309i) q^{55} +0.0459263 q^{56} +1.57922 q^{57} +(0.0201334 - 0.0146278i) q^{58} +(1.37229 - 4.22347i) q^{59} +(1.38286 + 4.25599i) q^{60} +5.99657 q^{61} +(0.0317784 - 0.0459526i) q^{62} -0.228968 q^{63} +(-2.47139 - 7.60615i) q^{64} +(-0.413236 + 1.27181i) q^{65} +(0.0335807 - 0.0243978i) q^{66} -8.82025 q^{67} +9.05527 q^{68} +(2.60783 - 1.89470i) q^{69} +(0.0124218 + 0.00902499i) q^{70} +(-12.3914 - 9.00288i) q^{71} +(-0.00248197 - 0.00763872i) q^{72} +(-7.08721 + 5.14916i) q^{73} +(-0.0276156 - 0.0849920i) q^{74} +(1.66071 - 5.11113i) q^{75} +(-1.52699 - 1.10942i) q^{76} +(-0.874084 + 2.69015i) q^{77} +(-0.00518865 + 0.0159690i) q^{78} +(-13.4299 - 9.75738i) q^{79} +(1.65269 - 5.08647i) q^{80} +(-2.58327 - 7.95048i) q^{81} +(-0.0833930 + 0.0605886i) q^{82} +(-3.15227 - 9.70170i) q^{83} +(-3.09776 - 2.25065i) q^{84} +(4.89854 + 3.55900i) q^{85} +(0.0341477 - 0.0248098i) q^{86} -4.14981 q^{87} -0.0992224 q^{88} +(9.01255 - 6.54800i) q^{89} +(0.000829780 - 0.00255380i) q^{90} +(-0.353585 - 1.08822i) q^{91} -3.85265 q^{92} +(-8.79105 + 3.08449i) q^{93} +0.0219270 q^{94} +(-0.390004 - 1.20031i) q^{95} +(0.0622596 - 0.191615i) q^{96} +(7.49985 - 5.44896i) q^{97} +0.0571046 q^{98} +0.494679 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q + 7 q^{2} - 2 q^{3} - 7 q^{4} - 12 q^{5} - 10 q^{6} + 25 q^{7} - 14 q^{8} - 8 q^{9}+O(q^{10}) \) 48 * q + 7 * q^2 - 2 * q^3 - 7 * q^4 - 12 * q^5 - 10 * q^6 + 25 * q^7 - 14 * q^8 - 8 * q^9	\( 48 q + 7 q^{2} - 2 q^{3} - 7 q^{4} - 12 q^{5} - 10 q^{6} + 25 q^{7} - 14 q^{8} - 8 q^{9} - 19 q^{10} - 9 q^{11} + 15 q^{12} + 12 q^{13} - 25 q^{14} - 30 q^{15} - 21 q^{16} + 11 q^{17} + 17 q^{18} + 36 q^{19} + 30 q^{20} + 11 q^{21} + 15 q^{22} - 7 q^{23} - 20 q^{24} - 16 q^{25} + 8 q^{26} - 5 q^{27} - 9 q^{28} + 12 q^{29} + 18 q^{30} + 22 q^{31} - 76 q^{32} - 49 q^{33} - 26 q^{34} + 8 q^{35} + 2 q^{36} + 64 q^{37} - 27 q^{38} - 3 q^{39} - 24 q^{40} + 46 q^{41} + 20 q^{42} - 28 q^{43} - 23 q^{45} + 34 q^{46} + 5 q^{47} - 20 q^{48} - 11 q^{49} + 9 q^{50} + 59 q^{51} + 17 q^{52} + 23 q^{53} + 41 q^{54} - 10 q^{55} - 60 q^{56} + 24 q^{57} - 37 q^{58} + 71 q^{59} - 72 q^{60} + 22 q^{61} + 43 q^{62} - 106 q^{63} - 52 q^{64} + 2 q^{65} - 21 q^{66} - 56 q^{67} - 104 q^{68} - 12 q^{69} - 32 q^{70} - 36 q^{71} + 147 q^{72} - 12 q^{73} + 10 q^{74} + 34 q^{75} - 49 q^{76} - 30 q^{77} + 5 q^{78} - 70 q^{79} + q^{81} + 130 q^{82} + 11 q^{83} + 77 q^{84} + 8 q^{85} + 11 q^{86} - 88 q^{87} + 96 q^{88} - 40 q^{89} - 48 q^{90} + 10 q^{91} + 112 q^{92} + 50 q^{93} + 78 q^{94} + 41 q^{95} - 75 q^{96} - 47 q^{97} - 46 q^{98} + 46 q^{99}+O(q^{100}) \) 48 * q + 7 * q^2 - 2 * q^3 - 7 * q^4 - 12 * q^5 - 10 * q^6 + 25 * q^7 - 14 * q^8 - 8 * q^9 - 19 * q^10 - 9 * q^11 + 15 * q^12 + 12 * q^13 - 25 * q^14 - 30 * q^15 - 21 * q^16 + 11 * q^17 + 17 * q^18 + 36 * q^19 + 30 * q^20 + 11 * q^21 + 15 * q^22 - 7 * q^23 - 20 * q^24 - 16 * q^25 + 8 * q^26 - 5 * q^27 - 9 * q^28 + 12 * q^29 + 18 * q^30 + 22 * q^31 - 76 * q^32 - 49 * q^33 - 26 * q^34 + 8 * q^35 + 2 * q^36 + 64 * q^37 - 27 * q^38 - 3 * q^39 - 24 * q^40 + 46 * q^41 + 20 * q^42 - 28 * q^43 - 23 * q^45 + 34 * q^46 + 5 * q^47 - 20 * q^48 - 11 * q^49 + 9 * q^50 + 59 * q^51 + 17 * q^52 + 23 * q^53 + 41 * q^54 - 10 * q^55 - 60 * q^56 + 24 * q^57 - 37 * q^58 + 71 * q^59 - 72 * q^60 + 22 * q^61 + 43 * q^62 - 106 * q^63 - 52 * q^64 + 2 * q^65 - 21 * q^66 - 56 * q^67 - 104 * q^68 - 12 * q^69 - 32 * q^70 - 36 * q^71 + 147 * q^72 - 12 * q^73 + 10 * q^74 + 34 * q^75 - 49 * q^76 - 30 * q^77 + 5 * q^78 - 70 * q^79 + q^81 + 130 * q^82 + 11 * q^83 + 77 * q^84 + 8 * q^85 + 11 * q^86 - 88 * q^87 + 96 * q^88 - 40 * q^89 - 48 * q^90 + 10 * q^91 + 112 * q^92 + 50 * q^93 + 78 * q^94 + 41 * q^95 - 75 * q^96 - 47 * q^97 - 46 * q^98 + 46 * q^99

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