LMFDB - Embedded newform 43.2.e.b.35.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [43,2,Mod(4,43)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(43, base_ring=CyclotomicField(14))

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

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

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

chi := DirichletCharacter("43.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 43 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	43.e (of order $7$, degree $6$, 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:	$0.343356728692$
Analytic rank:	$0$
Dimension:	$6$
Coefficient field:	$\Q(\zeta_{14})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 $ x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
Coefficient ring:	$\Z[a_1, a_2]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			35.1
Root			$0.900969 - 0.433884i$ of defining polynomial
Character	$\chi$	$=$	43.35
Dual form			43.2.e.b.16.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.500000 - 2.19064i) q^{2} +(0.346011 + 1.51597i) q^{3} +(-2.74698 - 1.32288i) q^{4} +(-1.24698 + 1.56366i) q^{5} +3.49396 q^{6} -4.24698 q^{7} +(-1.46950 + 1.84270i) q^{8} +(0.524459 - 0.252566i) q^{9} +O(q^{10})$	\(q+(0.500000 - 2.19064i) q^{2} +(0.346011 + 1.51597i) q^{3} +(-2.74698 - 1.32288i) q^{4} +(-1.24698 + 1.56366i) q^{5} +3.49396 q^{6} -4.24698 q^{7} +(-1.46950 + 1.84270i) q^{8} +(0.524459 - 0.252566i) q^{9} +(2.80194 + 3.51352i) q^{10} +(3.96950 - 1.91161i) q^{11} +(1.05496 - 4.62207i) q^{12} +(0.192021 - 0.240787i) q^{13} +(-2.12349 + 9.30362i) q^{14} +(-2.80194 - 1.34934i) q^{15} +(-0.500000 - 0.626980i) q^{16} +(2.80194 + 3.51352i) q^{17} +(-0.291053 - 1.27518i) q^{18} +(-5.12833 - 2.46968i) q^{19} +(5.49396 - 2.64575i) q^{20} +(-1.46950 - 6.43830i) q^{21} +(-2.20291 - 9.65156i) q^{22} +(-1.98039 + 0.953703i) q^{23} +(-3.30194 - 1.59013i) q^{24} +(0.222521 + 0.974928i) q^{25} +(-0.431468 - 0.541044i) q^{26} +(3.47285 + 4.35482i) q^{27} +(11.6664 + 5.61823i) q^{28} +(0.653989 - 2.86531i) q^{29} +(-4.35690 + 5.46337i) q^{30} +(-0.797093 + 3.49229i) q^{31} +(-5.87047 + 2.82707i) q^{32} +(4.27144 + 5.35621i) q^{33} +(9.09783 - 4.38129i) q^{34} +(5.29590 - 6.64084i) q^{35} -1.77479 q^{36} +4.87263 q^{37} +(-7.97434 + 9.99951i) q^{38} +(0.431468 + 0.207784i) q^{39} +(-1.04892 - 4.59561i) q^{40} +(0.896125 - 3.92618i) q^{41} -14.8388 q^{42} +(-6.46950 - 1.07031i) q^{43} -13.4330 q^{44} +(-0.259061 + 1.13502i) q^{45} +(1.09903 + 4.81517i) q^{46} +(0.900969 + 0.433884i) q^{47} +(0.777479 - 0.974928i) q^{48} +11.0368 q^{49} +2.24698 q^{50} +(-4.35690 + 5.46337i) q^{51} +(-0.846011 + 0.407417i) q^{52} +(-0.876510 - 1.09911i) q^{53} +(11.2763 - 5.43037i) q^{54} +(-1.96077 + 8.59070i) q^{55} +(6.24094 - 7.82589i) q^{56} +(1.96950 - 8.62895i) q^{57} +(-5.94989 - 2.86531i) q^{58} +(-2.03199 - 2.54804i) q^{59} +(5.91185 + 7.41323i) q^{60} +(-0.504844 - 2.21187i) q^{61} +(7.25182 + 3.49229i) q^{62} +(-2.22737 + 1.07264i) q^{63} +(2.90097 + 12.7100i) q^{64} +(0.137063 + 0.600514i) q^{65} +(13.8693 - 6.67909i) q^{66} +(-3.77144 - 1.81623i) q^{67} +(-3.04892 - 13.3582i) q^{68} +(-2.13102 - 2.67222i) q^{69} +(-11.8998 - 14.9218i) q^{70} +(7.93900 + 3.82322i) q^{71} +(-0.305290 + 1.33756i) q^{72} +(2.65399 - 3.32800i) q^{73} +(2.43631 - 10.6742i) q^{74} +(-1.40097 + 0.674671i) q^{75} +(10.8204 + 13.5683i) q^{76} +(-16.8584 + 8.11857i) q^{77} +(0.670915 - 0.841301i) q^{78} +3.71379 q^{79} +1.60388 q^{80} +(-4.31133 + 5.40624i) q^{81} +(-8.15279 - 3.92618i) q^{82} +(-2.26175 - 9.90937i) q^{83} +(-4.48039 + 19.6299i) q^{84} -8.98792 q^{85} +(-5.57942 + 13.6372i) q^{86} +4.57002 q^{87} +(-2.31067 + 10.1237i) q^{88} +(-1.11207 - 4.87231i) q^{89} +(2.35690 + 1.13502i) q^{90} +(-0.815511 + 1.02262i) q^{91} +6.70171 q^{92} -5.57002 q^{93} +(1.40097 - 1.75676i) q^{94} +(10.2567 - 4.93935i) q^{95} +(-6.31700 - 7.92127i) q^{96} +(-16.4400 + 7.91707i) q^{97} +(5.51842 - 24.1778i) q^{98} +(1.59903 - 2.00512i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 6 q + 3 q^{2} - 3 q^{3} - 7 q^{4} + 2 q^{5} + 2 q^{6} - 16 q^{7} + q^{8} - 6 q^{9}+O(q^{10}) $ 6 * q + 3 * q^2 - 3 * q^3 - 7 * q^4 + 2 * q^5 + 2 * q^6 - 16 * q^7 + q^8 - 6 * q^9	\( 6 q + 3 q^{2} - 3 q^{3} - 7 q^{4} + 2 q^{5} + 2 q^{6} - 16 q^{7} + q^{8} - 6 q^{9} + 8 q^{10} + 14 q^{11} + 7 q^{12} - 9 q^{13} - 8 q^{14} - 8 q^{15} - 3 q^{16} + 8 q^{17} + 4 q^{18} - 4 q^{19} + 14 q^{20} + q^{21} + q^{23} - 11 q^{24} + q^{25} - 8 q^{26} + 33 q^{27} + 28 q^{28} + 9 q^{29} - 18 q^{30} - 18 q^{31} - 21 q^{32} + 7 q^{33} + 18 q^{34} + 4 q^{35} - 14 q^{36} - 4 q^{37} - 16 q^{38} + 8 q^{39} + 12 q^{40} + 23 q^{41} - 24 q^{42} - 29 q^{43} - 42 q^{44} - 30 q^{45} + 11 q^{46} + q^{47} + 5 q^{48} + 10 q^{49} + 4 q^{50} - 18 q^{51} - 10 q^{53} + 27 q^{54} + 14 q^{55} + 9 q^{56} + 2 q^{57} - 13 q^{58} + 22 q^{59} + 28 q^{60} + 19 q^{61} + 12 q^{62} + 9 q^{63} + 13 q^{64} - 10 q^{65} + 28 q^{66} - 4 q^{67} + 17 q^{69} - 26 q^{70} + 28 q^{71} - 15 q^{72} + 21 q^{73} - 2 q^{74} - 4 q^{75} + 28 q^{76} - 49 q^{77} + 25 q^{78} + 6 q^{79} - 8 q^{80} - 58 q^{81} - 13 q^{82} - 39 q^{83} - 14 q^{84} - 16 q^{85} - 25 q^{86} - 22 q^{87} - 21 q^{88} + 11 q^{89} + 6 q^{90} + 10 q^{91} - 14 q^{92} + 16 q^{93} + 4 q^{94} + 8 q^{95} + 21 q^{96} - 19 q^{97} + 5 q^{98} + 14 q^{99}+O(q^{100}) \) 6 * q + 3 * q^2 - 3 * q^3 - 7 * q^4 + 2 * q^5 + 2 * q^6 - 16 * q^7 + q^8 - 6 * q^9 + 8 * q^10 + 14 * q^11 + 7 * q^12 - 9 * q^13 - 8 * q^14 - 8 * q^15 - 3 * q^16 + 8 * q^17 + 4 * q^18 - 4 * q^19 + 14 * q^20 + q^21 + q^23 - 11 * q^24 + q^25 - 8 * q^26 + 33 * q^27 + 28 * q^28 + 9 * q^29 - 18 * q^30 - 18 * q^31 - 21 * q^32 + 7 * q^33 + 18 * q^34 + 4 * q^35 - 14 * q^36 - 4 * q^37 - 16 * q^38 + 8 * q^39 + 12 * q^40 + 23 * q^41 - 24 * q^42 - 29 * q^43 - 42 * q^44 - 30 * q^45 + 11 * q^46 + q^47 + 5 * q^48 + 10 * q^49 + 4 * q^50 - 18 * q^51 - 10 * q^53 + 27 * q^54 + 14 * q^55 + 9 * q^56 + 2 * q^57 - 13 * q^58 + 22 * q^59 + 28 * q^60 + 19 * q^61 + 12 * q^62 + 9 * q^63 + 13 * q^64 - 10 * q^65 + 28 * q^66 - 4 * q^67 + 17 * q^69 - 26 * q^70 + 28 * q^71 - 15 * q^72 + 21 * q^73 - 2 * q^74 - 4 * q^75 + 28 * q^76 - 49 * q^77 + 25 * q^78 + 6 * q^79 - 8 * q^80 - 58 * q^81 - 13 * q^82 - 39 * q^83 - 14 * q^84 - 16 * q^85 - 25 * q^86 - 22 * q^87 - 21 * q^88 + 11 * q^89 + 6 * q^90 + 10 * q^91 - 14 * q^92 + 16 * q^93 + 4 * q^94 + 8 * q^95 + 21 * q^96 - 19 * q^97 + 5 * q^98 + 14 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/43\mathbb{Z}\right)^\times$.

$n$	$3$
$\chi(n)$	$e\left(\frac{3}{7}\right)$

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 $

$2$	0.500000	−	2.19064i	0.353553	−	1.54902i	−0.415355	−	0.909659i	$-0.636343\pi$
$2$	0.500000	−	2.19064i	0.353553	−	1.54902i	0.768908	−	0.639359i	$-0.220800\pi$
$3$	0.346011	+	1.51597i	0.199769	+	0.875247i	0.971074	+	0.238780i	$0.0767476\pi$
$3$	0.346011	+	1.51597i	0.199769	+	0.875247i	−0.771304	+	0.636467i	$0.780395\pi$
$4$	−2.74698	−	1.32288i	−1.37349	−	0.661438i
$5$	−1.24698	+	1.56366i	−0.557666	+	0.699291i	−0.978124	−	0.208021i	$-0.933298\pi$
$5$	−1.24698	+	1.56366i	−0.557666	+	0.699291i	0.420458	+	0.907312i	$0.361869\pi$
$6$	3.49396			1.42640
$7$	−4.24698			−1.60521			−0.802604	−	0.596513i	$-0.796553\pi$
$7$	−4.24698			−1.60521			−0.802604	+	0.596513i	$0.796553\pi$
$8$	−1.46950	+	1.84270i	−0.519547	+	0.651491i
$9$	0.524459	−	0.252566i	0.174820	−	0.0841887i
$10$	2.80194	+	3.51352i	0.886051	+	1.11107i
$11$	3.96950	−	1.91161i	1.19685	−	0.576372i	0.274073	−	0.961709i	$-0.411629\pi$
$11$	3.96950	−	1.91161i	1.19685	−	0.576372i	0.922776	+	0.385336i	$0.125915\pi$
$12$	1.05496	−	4.62207i	0.304540	−	1.33428i
$13$	0.192021	−	0.240787i	0.0532572	−	0.0667824i	−0.754490	−	0.656312i	$-0.772115\pi$
$13$	0.192021	−	0.240787i	0.0532572	−	0.0667824i	0.807747	+	0.589530i	$0.200687\pi$
$14$	−2.12349	+	9.30362i	−0.567527	+	2.48650i
$15$	−2.80194	−	1.34934i	−0.723457	−	0.348399i
$16$	−0.500000	−	0.626980i	−0.125000	−	0.156745i
$17$	2.80194	+	3.51352i	0.679570	+	0.852153i	0.995314	−	0.0966907i	$-0.0308258\pi$
$17$	2.80194	+	3.51352i	0.679570	+	0.852153i	−0.315745	+	0.948844i	$0.602254\pi$
$18$	−0.291053	−	1.27518i	−0.0686018	−	0.300564i
$19$	−5.12833	−	2.46968i	−1.17652	−	0.566582i	−0.259625	−	0.965710i	$-0.583599\pi$
$19$	−5.12833	−	2.46968i	−1.17652	−	0.566582i	−0.916896	+	0.399127i	$0.869313\pi$
$20$	5.49396	−	2.64575i	1.22849	−	0.591608i
$21$	−1.46950	−	6.43830i	−0.320671	−	1.40495i
$22$	−2.20291	−	9.65156i	−0.469661	−	2.05772i
$23$	−1.98039	+	0.953703i	−0.412939	+	0.198861i	−0.628807	−	0.777562i	$-0.716456\pi$
$23$	−1.98039	+	0.953703i	−0.412939	+	0.198861i	0.215868	+	0.976423i	$0.430742\pi$
$24$	−3.30194	−	1.59013i	−0.674005	−	0.324584i
$25$	0.222521	+	0.974928i	0.0445042	+	0.194986i
$26$	−0.431468	−	0.541044i	−0.0846179	−	0.106107i
$27$	3.47285	+	4.35482i	0.668351	+	0.838085i
$28$	11.6664	+	5.61823i	2.20474	+	1.06174i
$29$	0.653989	−	2.86531i	0.121443	−	0.532075i	−0.877206	−	0.480114i	$-0.840595\pi$
$29$	0.653989	−	2.86531i	0.121443	−	0.532075i	0.998649	−	0.0519619i	$-0.0165474\pi$
$30$	−4.35690	+	5.46337i	−0.795457	+	0.997471i
$31$	−0.797093	+	3.49229i	−0.143162	+	0.627235i	0.851527	+	0.524311i	$0.175677\pi$
$31$	−0.797093	+	3.49229i	−0.143162	+	0.627235i	−0.994689	+	0.102924i	$0.967180\pi$
$32$	−5.87047	+	2.82707i	−1.03776	+	0.499760i
$33$	4.27144	+	5.35621i	0.743562	+	0.932397i
$34$	9.09783	−	4.38129i	1.56027	−	0.751384i
$35$	5.29590	−	6.64084i	0.895170	−	1.12251i
$36$	−1.77479			−0.295798
$37$	4.87263			0.801055			0.400527	−	0.916285i	$-0.368827\pi$
$37$	4.87263			0.801055			0.400527	+	0.916285i	$0.368827\pi$
$38$	−7.97434	+	9.99951i	−1.29361	+	1.62214i
$39$	0.431468	+	0.207784i	0.0690902	+	0.0332721i
$40$	−1.04892	−	4.59561i	−0.165848	−	0.726629i
$41$	0.896125	−	3.92618i	0.139951	−	0.613166i	−0.855493	−	0.517815i	$-0.826746\pi$
$41$	0.896125	−	3.92618i	0.139951	−	0.613166i	0.995444	−	0.0953509i	$-0.0303973\pi$
$42$	−14.8388			−2.28967
$43$	−6.46950	−	1.07031i	−0.986590	−	0.163221i
$43$	−6.46950	−	1.07031i	−0.986590	−	0.163221i
$44$	−13.4330			−2.02509
$45$	−0.259061	+	1.13502i	−0.0386186	+	0.169199i
$46$	1.09903	+	4.81517i	0.162043	+	0.709958i
$47$	0.900969	+	0.433884i	0.131420	+	0.0632884i	0.498438	−	0.866925i	$-0.333907\pi$
$47$	0.900969	+	0.433884i	0.131420	+	0.0632884i	−0.367018	+	0.930214i	$0.619621\pi$
$48$	0.777479	−	0.974928i	0.112219	−	0.140719i
$49$	11.0368			1.57669
$50$	2.24698			0.317771
$51$	−4.35690	+	5.46337i	−0.610087	+	0.765025i
$52$	−0.846011	+	0.407417i	−0.117321	+	0.0564986i
$53$	−0.876510	−	1.09911i	−0.120398	−	0.150974i	0.717980	−	0.696064i	$-0.245067\pi$
$53$	−0.876510	−	1.09911i	−0.120398	−	0.150974i	−0.838378	+	0.545090i	$0.816496\pi$
$54$	11.2763	−	5.43037i	1.53451	−	0.738980i
$55$	−1.96077	+	8.59070i	−0.264390	+	1.15837i
$56$	6.24094	−	7.82589i	0.833981	−	1.04578i
$57$	1.96950	−	8.62895i	0.260867	−	1.14293i
$58$	−5.94989	−	2.86531i	−0.781258	−	0.376234i
$59$	−2.03199	−	2.54804i	−0.264543	−	0.331726i	0.631764	−	0.775161i	$-0.282331\pi$
$59$	−2.03199	−	2.54804i	−0.264543	−	0.331726i	−0.896307	+	0.443435i	$0.853760\pi$
$60$	5.91185	+	7.41323i	0.763217	+	0.957044i
$61$	−0.504844	−	2.21187i	−0.0646387	−	0.283201i	0.932271	−	0.361762i	$-0.117825\pi$
$61$	−0.504844	−	2.21187i	−0.0646387	−	0.283201i	−0.996909	+	0.0785611i	$0.974967\pi$
$62$	7.25182	+	3.49229i	0.920983	+	0.443522i
$63$	−2.22737	+	1.07264i	−0.280622	+	0.135140i
$64$	2.90097	+	12.7100i	0.362621	+	1.58875i
$65$	0.137063	+	0.600514i	0.0170006	+	0.0744846i
$66$	13.8693	−	6.67909i	1.70719	−	0.822139i
$67$	−3.77144	−	1.81623i	−0.460755	−	0.221888i	0.189083	−	0.981961i	$-0.439449\pi$
$67$	−3.77144	−	1.81623i	−0.460755	−	0.221888i	−0.649837	+	0.760074i	$0.725163\pi$
$68$	−3.04892	−	13.3582i	−0.369736	−	1.61992i
$69$	−2.13102	−	2.67222i	−0.256545	−	0.321697i
$70$	−11.8998	−	14.9218i	−1.42229	−	1.78350i
$71$	7.93900	+	3.82322i	0.942186	+	0.453733i	0.840940	−	0.541128i	$-0.182003\pi$
$71$	7.93900	+	3.82322i	0.942186	+	0.453733i	0.101246	+	0.994861i	$0.467717\pi$
$72$	−0.305290	+	1.33756i	−0.0359788	+	0.157633i
$73$	2.65399	−	3.32800i	0.310626	−	0.389513i	−0.601873	−	0.798592i	$-0.705579\pi$
$73$	2.65399	−	3.32800i	0.310626	−	0.389513i	0.912499	+	0.409079i	$0.134150\pi$
$74$	2.43631	−	10.6742i	0.283216	−	1.24085i
$75$	−1.40097	+	0.674671i	−0.161770	+	0.0779043i
$76$	10.8204	+	13.5683i	1.24118	+	1.55639i
$77$	−16.8584	+	8.11857i	−1.92119	+	0.925197i
$78$	0.670915	−	0.841301i	0.0759662	−	0.0952586i
$79$	3.71379			0.417834			0.208917	−	0.977933i	$-0.433006\pi$
$79$	3.71379			0.417834			0.208917	+	0.977933i	$0.433006\pi$
$80$	1.60388			0.179319
$81$	−4.31133	+	5.40624i	−0.479037	+	0.600693i
$82$	−8.15279	−	3.92618i	−0.900325	−	0.433574i
$83$	−2.26175	−	9.90937i	−0.248259	−	1.08769i	−0.933274	−	0.359166i	$-0.883061\pi$
$83$	−2.26175	−	9.90937i	−0.248259	−	1.08769i	0.685015	−	0.728529i	$-0.259796\pi$
$84$	−4.48039	+	19.6299i	−0.488850	+	2.14179i
$85$	−8.98792			−0.974877
$86$	−5.57942	+	13.6372i	−0.601644	+	1.47054i
$87$	4.57002			0.489958
$88$	−2.31067	+	10.1237i	−0.246318	+	1.07919i
$89$	−1.11207	−	4.87231i	−0.117879	−	0.516463i	−0.999047	−	0.0436585i	$-0.986099\pi$
$89$	−1.11207	−	4.87231i	−0.117879	−	0.516463i	0.881167	−	0.472805i	$-0.156758\pi$
$90$	2.35690	+	1.13502i	0.248439	+	0.119642i
$91$	−0.815511	+	1.02262i	−0.0854888	+	0.107200i
$92$	6.70171			0.698702
$93$	−5.57002			−0.577585
$94$	1.40097	−	1.75676i	0.144499	−	0.181196i
$95$	10.2567	−	4.93935i	1.05231	−	0.506767i
$96$	−6.31700	−	7.92127i	−0.644726	−	0.808461i
$97$	−16.4400	+	7.91707i	−1.66923	+	0.803856i	−0.671184	+	0.741291i	$0.734214\pi$
$97$	−16.4400	+	7.91707i	−1.66923	+	0.803856i	−0.998041	+	0.0625659i	$0.980072\pi$
$98$	5.51842	−	24.1778i	0.557444	−	2.44232i
$99$	1.59903	−	2.00512i	0.160709	−	0.201522i
$100$	0.678448	−	2.97247i	0.0678448	−	0.297247i
$101$	8.30678	+	4.00034i	0.826556	+	0.398048i	0.798822	−	0.601567i	$-0.205457\pi$
$101$	8.30678	+	4.00034i	0.826556	+	0.398048i	0.0277334	+	0.999615i	$0.491171\pi$
$102$	9.78986	+	12.2761i	0.969340	+	1.21551i
$103$	−0.725873	−	0.910216i	−0.0715224	−	0.0896863i	0.744783	−	0.667307i	$-0.232553\pi$
$103$	−0.725873	−	0.910216i	−0.0715224	−	0.0896863i	−0.816306	+	0.577620i	$0.803981\pi$
$104$	0.161522	+	0.707674i	0.0158385	+	0.0693932i
$105$	11.8998	+	5.73063i	1.16130	+	0.559252i
$106$	−2.84601	+	1.37057i	−0.276429	+	0.133121i
$107$	3.48039	+	15.2486i	0.336462	+	1.47413i	0.806366	+	0.591417i	$0.201431\pi$
$107$	3.48039	+	15.2486i	0.336462	+	1.47413i	−0.469904	+	0.882717i	$0.655712\pi$
$108$	−3.77897	−	16.5568i	−0.363632	−	1.59317i
$109$	−8.06249	+	3.88269i	−0.772247	+	0.371894i	−0.778142	−	0.628088i	$-0.783838\pi$
$109$	−8.06249	+	3.88269i	−0.772247	+	0.371894i	0.00589553	+	0.999983i	$0.498123\pi$
$110$	17.8388	+	8.59070i	1.70086	+	0.819091i
$111$	1.68598	+	7.38676i	0.160026	+	0.701121i
$112$	2.12349	+	2.66277i	0.200651	+	0.251608i
$113$	5.82640	+	7.30607i	0.548101	+	0.687297i	0.976308	−	0.216383i	$-0.0694261\pi$
$113$	5.82640	+	7.30607i	0.548101	+	0.687297i	−0.428207	+	0.903681i	$0.640855\pi$
$114$	−17.9182	−	8.62895i	−1.67819	−	0.808175i
$115$	0.978230	−	4.28590i	0.0912204	−	0.399663i
$116$	−5.58695	+	7.00581i	−0.518735	+	0.650473i
$117$	0.0398926	−	0.174781i	0.00368808	−	0.0161585i
$118$	−6.59783	+	3.17735i	−0.607380	+	0.292499i
$119$	−11.8998	−	14.9218i	−1.09085	−	1.36788i
$120$	6.60388	−	3.18026i	0.602849	−	0.290317i
$121$	5.24429	−	6.57613i	0.476754	−	0.597830i
$122$	−5.09783			−0.461536
$123$	6.26205			0.564630
$124$	6.80947	−	8.53881i	0.611509	−	0.766807i
$125$	−10.8116	−	5.20660i	−0.967021	−	0.465693i
$126$	1.23609	+	5.41568i	0.110120	+	0.482467i
$127$	3.25786	−	14.2736i	0.289089	−	1.26658i	−0.596690	−	0.802472i	$-0.703518\pi$
$127$	3.25786	−	14.2736i	0.289089	−	1.26658i	0.885778	−	0.464108i	$-0.153625\pi$
$128$	16.2620			1.43738
$129$	−0.615957	−	10.1779i	−0.0542320	−	0.896116i
$130$	1.38404			0.121389
$131$	2.33513	−	10.2309i	0.204021	−	0.893874i	−0.764437	−	0.644698i	$-0.776983\pi$
$131$	2.33513	−	10.2309i	0.204021	−	0.893874i	0.968458	−	0.249176i	$-0.0801597\pi$
$132$	−4.64795	−	20.3640i	−0.404552	−	1.77246i
$133$	21.7799	+	10.4887i	1.88856	+	0.909482i
$134$	−5.86443	+	7.35376i	−0.506609	+	0.635268i
$135$	−11.1400			−0.958783
$136$	−10.5918			−0.908239
$137$	−5.57942	+	6.99637i	−0.476682	+	0.597740i	−0.960793	−	0.277266i	$-0.910572\pi$
$137$	−5.57942	+	6.99637i	−0.476682	+	0.597740i	0.484111	+	0.875006i	$0.339143\pi$
$138$	−6.91939	+	3.33220i	−0.589017	+	0.283656i
$139$	5.24847	+	6.58138i	0.445170	+	0.558225i	0.952898	−	0.303292i	$-0.0980859\pi$
$139$	5.24847	+	6.58138i	0.445170	+	0.558225i	−0.507728	+	0.861517i	$0.669514\pi$
$140$	−23.3327	+	11.2365i	−1.97198	+	0.949654i
$141$	−0.346011	+	1.51597i	−0.0291394	+	0.127668i
$142$	12.3448	−	15.4799i	1.03595	−	1.29904i
$143$	0.301938	−	1.32288i	0.0252493	−	0.110624i
$144$	−0.420583	−	0.202542i	−0.0350486	−	0.0168785i
$145$	3.66487	+	4.59561i	0.304351	+	0.381644i
$146$	−5.96346	−	7.47794i	−0.493539	−	0.618879i
$147$	3.81886	+	16.7315i	0.314975	+	1.37999i
$148$	−13.3850	−	6.44588i	−1.10024	−	0.529848i
$149$	5.61745	−	2.70522i	0.460199	−	0.221620i	−0.189396	−	0.981901i	$-0.560653\pi$
$149$	5.61745	−	2.70522i	0.460199	−	0.221620i	0.649595	+	0.760281i	$0.274939\pi$
$150$	0.777479	+	3.40636i	0.0634809	+	0.278128i
$151$	1.24698	+	5.46337i	0.101478	+	0.444603i	0.999984	+	0.00564254i	$0.00179609\pi$
$151$	1.24698	+	5.46337i	0.101478	+	0.444603i	−0.898506	+	0.438961i	$0.855347\pi$
$152$	12.0869	−	5.82077i	0.980381	−	0.472127i
$153$	2.35690	+	1.13502i	0.190544	+	0.0917610i
$154$	9.35570	+	40.9900i	0.753904	+	3.30307i
$155$	−4.46681	−	5.60121i	−0.358783	−	0.449900i
$156$	−0.910362	−	1.14156i	−0.0728873	−	0.0913978i
$157$	−9.54892	−	4.59852i	−0.762087	−	0.367002i	0.0121266	−	0.999926i	$-0.496140\pi$
$157$	−9.54892	−	4.59852i	−0.762087	−	0.367002i	−0.774213	+	0.632925i	$0.781854\pi$
$158$	1.85690	−	8.13559i	0.147727	−	0.647233i
$159$	1.36294	−	1.70907i	0.108088	−	0.135538i
$160$	2.89977	−	12.7047i	0.229247	−	1.00440i
$161$	8.41066	−	4.05036i	0.662853	−	0.319213i
$162$	9.68747	+	12.1477i	0.761120	+	0.954414i
$163$	21.0966	−	10.1596i	1.65242	−	0.795762i	0.653159	−	0.757221i	$-0.273443\pi$
$163$	21.0966	−	10.1596i	1.65242	−	0.795762i	0.999257	−	0.0385411i	$-0.0122711\pi$
$164$	−7.65548	+	9.59967i	−0.597793	+	0.749608i
$165$	−13.7017			−1.06668
$166$	−22.8388			−1.77263
$167$	6.18180	−	7.75173i	0.478362	−	0.599847i	−0.482834	−	0.875712i	$-0.660393\pi$
$167$	6.18180	−	7.75173i	0.478362	−	0.599847i	0.961197	+	0.275865i	$0.0889641\pi$
$168$	14.0233	+	6.75325i	1.08192	+	0.521024i
$169$	2.87167	+	12.5816i	0.220897	+	0.967815i
$170$	−4.49396	+	19.6893i	−0.344671	+	1.51010i
$171$	−3.31336			−0.253379
$172$	16.3557	+	11.4985i	1.24711	+	0.876750i
$173$	−1.53319			−0.116566			−0.0582831	−	0.998300i	$-0.518563\pi$
$173$	−1.53319			−0.116566			−0.0582831	+	0.998300i	$0.518563\pi$
$174$	2.28501	−	10.0113i	0.173226	−	0.758954i
$175$	−0.945042	−	4.14050i	−0.0714385	−	0.312992i
$176$	−3.18329	−	1.53299i	−0.239950	−	0.115554i
$177$	3.15966	−	3.96209i	0.237495	−	0.297809i
$178$	−11.2295			−0.841688
$179$	−17.2228			−1.28729			−0.643647	−	0.765323i	$-0.722579\pi$
$179$	−17.2228			−1.28729			−0.643647	+	0.765323i	$0.722579\pi$
$180$	2.21313	−	2.77517i	0.164957	−	0.206849i
$181$	−10.9330	+	5.26504i	−0.812641	+	0.391347i	−0.793576	−	0.608471i	$-0.791783\pi$
$181$	−10.9330	+	5.26504i	−0.812641	+	0.391347i	−0.0190646	+	0.999818i	$0.506069\pi$
$182$	1.83244	+	2.29780i	0.135829	+	0.170325i
$183$	3.17845	−	1.53066i	0.234958	−	0.113150i
$184$	1.15279	−	5.05072i	0.0849850	−	0.372344i
$185$	−6.07606	+	7.61914i	−0.446721	+	0.560171i
$186$	−2.78501	+	12.2019i	−0.204207	+	0.894689i
$187$	17.8388	+	8.59070i	1.30450	+	0.628214i
$188$	−1.90097	−	2.38374i	−0.138642	−	0.173852i
$189$	−14.7491	−	18.4948i	−1.07284	−	1.34530i
$190$	−5.69202	−	24.9384i	−0.412943	−	1.80922i
$191$	14.4351	+	6.95159i	1.04449	+	0.502999i	0.875802	−	0.482671i	$-0.160333\pi$
$191$	14.4351	+	6.95159i	1.04449	+	0.502999i	0.168686	+	0.985670i	$0.446047\pi$
$192$	−18.2642	+	8.79558i	−1.31811	+	0.634766i
$193$	−5.29321	−	23.1911i	−0.381013	−	1.66933i	−0.694312	−	0.719674i	$-0.744291\pi$
$193$	−5.29321	−	23.1911i	−0.381013	−	1.66933i	0.313298	−	0.949655i	$-0.398566\pi$
$194$	9.12349	+	39.9726i	0.655028	+	2.86987i
$195$	−0.862937	+	0.415568i	−0.0617962	+	0.0297595i
$196$	−30.3180	−	14.6004i	−2.16557	−	1.04288i
$197$	−3.52811	−	15.4576i	−0.251367	−	1.10131i	−0.930210	−	0.367028i	$-0.880375\pi$
$197$	−3.52811	−	15.4576i	−0.251367	−	1.10131i	0.678843	−	0.734284i	$-0.262482\pi$
$198$	−3.59299	−	4.50547i	−0.255343	−	0.320190i
$199$	5.46077	+	6.84759i	0.387104	+	0.485413i	0.936757	−	0.349980i	$-0.113812\pi$
$199$	5.46077	+	6.84759i	0.387104	+	0.485413i	−0.549653	+	0.835393i	$0.685240\pi$
$200$	−2.12349	−	1.02262i	−0.150153	−	0.0723101i
$201$	1.44839	−	6.34583i	0.102162	−	0.447600i
$202$	12.9167	−	16.1970i	0.908816	−	1.13962i
$203$	−2.77748	+	12.1689i	−0.194941	+	0.854092i
$204$	19.1957	−	9.24415i	1.34397	−	0.647220i
$205$	5.02177	+	6.29710i	0.350736	+	0.439809i
$206$	−2.35690	+	1.13502i	−0.164213	+	0.0790807i
$207$	−0.797757	+	1.00036i	−0.0554480	+	0.0695296i
$208$	−0.246980			−0.0171250
$209$	−25.0780			−1.73468
$210$	18.5036	−	23.2028i	1.27687	−	1.60115i
$211$	−7.73609	−	3.72551i	−0.532575	−	0.256474i	0.148213	−	0.988956i	$-0.452648\pi$
$211$	−7.73609	−	3.72551i	−0.532575	−	0.256474i	−0.680787	+	0.732481i	$0.738362\pi$
$212$	0.953771	+	4.17874i	0.0655053	+	0.286997i
$213$	−3.04892	+	13.3582i	−0.208908	+	0.915287i
$214$	35.1444			2.40242
$215$	9.74094	−	8.78146i	0.664327	−	0.598891i
$216$	−13.1280			−0.893245
$217$	3.38524	−	14.8317i	0.229805	−	1.00684i
$218$	4.47434	+	19.6034i	0.303041	+	1.32771i
$219$	5.96346	+	2.87185i	0.402973	+	0.194062i
$220$	16.7506	−	21.0046i	1.12933	−	1.41613i
$221$	1.38404			0.0931008
$222$	17.0248			1.14263
$223$	−4.74094	+	5.94495i	−0.317477	+	0.398103i	−0.914806	−	0.403893i	$-0.867657\pi$
$223$	−4.74094	+	5.94495i	−0.317477	+	0.398103i	0.597330	+	0.801996i	$0.296228\pi$
$224$	24.9318	−	12.0065i	1.66582	−	0.802218i
$225$	0.362937	+	0.455108i	0.0241958	+	0.0303405i
$226$	18.9182	−	9.11052i	1.25842	−	0.606023i
$227$	−3.45204	+	15.1244i	−0.229120	+	1.00384i	0.721239	+	0.692686i	$0.243573\pi$
$227$	−3.45204	+	15.1244i	−0.229120	+	1.00384i	−0.950359	+	0.311155i	$0.899284\pi$
$228$	−16.8252	+	21.0981i	−1.11428	+	1.39726i
$229$	5.25936	−	23.0427i	0.347548	−	1.52271i	−0.435180	−	0.900344i	$-0.643315\pi$
$229$	5.25936	−	23.0427i	0.347548	−	1.52271i	0.782728	−	0.622364i	$-0.213828\pi$
$230$	−8.89977	−	4.28590i	−0.586834	−	0.282604i
$231$	−18.1407	−	22.7477i	−1.19357	−	1.49669i
$232$	4.31886	+	5.41568i	0.283547	+	0.355557i
$233$	4.82036	+	21.1194i	0.315792	+	1.38358i	0.844856	+	0.534993i	$0.179686\pi$
$233$	4.82036	+	21.1194i	0.315792	+	1.38358i	−0.529064	+	0.848582i	$0.677457\pi$
$234$	−0.362937	−	0.174781i	−0.0237259	−	0.0114258i
$235$	−1.80194	+	0.867767i	−0.117545	+	0.0566069i
$236$	2.21110	+	9.68748i	0.143931	+	0.630601i
$237$	1.28501	+	5.63000i	0.0834705	+	0.365708i
$238$	−38.6383	+	18.6072i	−2.50455	+	1.20613i
$239$	15.4976	+	7.46325i	1.00246	+	0.482758i	0.861772	−	0.507297i	$-0.169355\pi$
$239$	15.4976	+	7.46325i	1.00246	+	0.482758i	0.140685	+	0.990054i	$0.455069\pi$
$240$	0.554958	+	2.43143i	0.0358224	+	0.156948i
$241$	15.7676	+	19.7719i	1.01568	+	1.27362i	0.961418	+	0.275092i	$0.0887084\pi$
$241$	15.7676	+	19.7719i	1.01568	+	1.27362i	0.0542596	+	0.998527i	$0.482720\pi$
$242$	−11.7838	−	14.7764i	−0.757492	−	0.949865i
$243$	5.36778	+	2.58499i	0.344343	+	0.165827i
$244$	−1.53923	+	6.74380i	−0.0985390	+	0.431728i
$245$	−13.7627	+	17.2579i	−0.879267	+	1.10257i
$246$	3.13102	−	13.7179i	0.199627	−	0.874622i
$247$	−1.57942	+	0.760607i	−0.100496	+	0.0483963i
$248$	−5.26391	−	6.60073i	−0.334258	−	0.419147i
$249$	14.2397	−	6.85750i	0.902407	−	0.434576i
$250$	−16.8116	+	21.0811i	−1.06326	+	1.33329i
$251$	−1.94139			−0.122540			−0.0612699	−	0.998121i	$-0.519515\pi$
$251$	−1.94139			−0.122540			−0.0612699	+	0.998121i	$0.519515\pi$
$252$	7.53750			0.474818
$253$	−6.03803	+	7.57145i	−0.379608	+	0.476013i
$254$	−29.6395	−	14.2736i	−1.85975	−	0.895608i
$255$	−3.10992	−	13.6254i	−0.194751	−	0.853258i
$256$	2.32908	−	10.2044i	0.145568	−	0.637774i
$257$	15.7168			0.980386			0.490193	−	0.871614i	$-0.336926\pi$
$257$	15.7168			0.980386			0.490193	+	0.871614i	$0.336926\pi$
$258$	−22.6042	−	3.73962i	−1.40727	−	0.232818i
$259$	−20.6939			−1.28586
$260$	0.417895	−	1.83092i	0.0259167	−	0.113549i
$261$	−0.380691	−	1.66791i	−0.0235642	−	0.103241i
$262$	−21.2446	−	10.2309i	−1.31249	−	0.632064i
$263$	−9.15093	+	11.4749i	−0.564271	+	0.707573i	−0.979341	−	0.202216i	$-0.935186\pi$
$263$	−9.15093	+	11.4749i	−0.564271	+	0.707573i	0.415070	+	0.909789i	$0.363757\pi$
$264$	−16.1468			−0.993764
$265$	2.81163			0.172717
$266$	33.8669	−	42.4677i	2.07651	−	2.60386i
$267$	7.00149	−	3.37174i	0.428484	−	0.206347i
$268$	7.95742	+	9.97829i	0.486077	+	0.609521i
$269$	13.5831	−	6.54126i	0.828174	−	0.398828i	0.0287440	−	0.999587i	$-0.490849\pi$
$269$	13.5831	−	6.54126i	0.828174	−	0.398828i	0.799430	+	0.600759i	$0.205135\pi$
$270$	−5.57002	+	24.4039i	−0.338981	+	1.48517i
$271$	−14.4242	+	18.0874i	−0.876210	+	1.09873i	0.118184	+	0.992992i	$0.462293\pi$
$271$	−14.4242	+	18.0874i	−0.876210	+	1.09873i	−0.994394	+	0.105740i	$0.966279\pi$
$272$	0.801938	−	3.51352i	0.0486246	−	0.213038i
$273$	−1.83244	−	0.882455i	−0.110904	−	0.0534086i
$274$	12.5368	+	15.7207i	0.757378	+	0.949722i
$275$	2.74698	+	3.44460i	0.165649	+	0.207717i
$276$	2.31886	+	10.1596i	0.139579	+	0.611536i
$277$	−18.7240	−	9.01701i	−1.12502	−	0.541780i	−0.223578	−	0.974686i	$-0.571774\pi$
$277$	−18.7240	−	9.01701i	−1.12502	−	0.541780i	−0.901439	+	0.432906i	$0.857488\pi$
$278$	17.0417	−	8.20684i	1.02209	−	0.492214i
$279$	0.463992	+	2.03288i	0.0277785	+	0.121706i
$280$	4.45473	+	19.5174i	0.266221	+	1.16639i
$281$	−16.9710	+	8.17280i	−1.01240	+	0.487548i	−0.865130	−	0.501547i	$-0.832764\pi$
$281$	−16.9710	+	8.17280i	−1.01240	+	0.487548i	−0.147274	+	0.989096i	$0.547050\pi$
$282$	3.14795	+	1.51597i	0.187458	+	0.0902748i
$283$	2.90246	+	12.7165i	0.172533	+	0.755918i	0.984950	+	0.172841i	$0.0552945\pi$
$283$	2.90246	+	12.7165i	0.172533	+	0.755918i	−0.812416	+	0.583078i	$0.801848\pi$
$284$	−16.7506	−	21.0046i	−0.993967	−	1.24640i
$285$	11.0368	+	13.8398i	0.653766	+	0.819796i
$286$	−2.74698	−	1.32288i	−0.162432	−	0.0782233i
$287$	−3.80582	+	16.6744i	−0.224651	+	0.984259i
$288$	−2.36480	+	2.96536i	−0.139347	+	0.174736i
$289$	−0.711103	+	3.11555i	−0.0418296	+	0.183267i
$290$	11.8998	−	5.73063i	0.698779	−	0.336514i
$291$	−17.6905	−	22.1831i	−1.03703	−	1.30040i
$292$	−11.6930	+	5.63104i	−0.684280	+	0.329532i
$293$	16.5410	−	20.7418i	0.966336	−	1.21175i	−0.0109749	−	0.999940i	$-0.503493\pi$
$293$	16.5410	−	20.7418i	0.966336	−	1.21175i	0.977311	−	0.211808i	$-0.0679351\pi$
$294$	38.5623			2.24900
$295$	6.51812			0.379500
$296$	−7.16033	+	8.97876i	−0.416185	+	0.521880i
$297$	22.1102	+	10.6477i	1.28296	+	0.617843i
$298$	−3.11745	−	13.6584i	−0.180589	−	0.791212i
$299$	−0.150637	+	0.659983i	−0.00871156	+	0.0381678i
$300$	4.74094			0.273718
$301$	27.4758	+	4.54558i	1.58368	+	0.262003i
$302$	12.5918			0.724576
$303$	−3.19016	+	13.9770i	−0.183270	+	0.802958i
$304$	1.01573	+	4.45020i	0.0582561	+	0.255237i
$305$	4.08815	+	1.96875i	0.234087	+	0.112730i
$306$	3.66487	−	4.59561i	0.209507	−	0.262713i
$307$	−7.08277			−0.404235			−0.202117	−	0.979361i	$-0.564782\pi$
$307$	−7.08277			−0.404235			−0.202117	+	0.979361i	$0.564782\pi$
$308$	57.0495			3.25070
$309$	1.12870	−	1.41535i	0.0642096	−	0.0805164i
$310$	−14.5036	+	6.98459i	−0.823752	+	0.396698i
$311$	−11.7947	−	14.7901i	−0.668816	−	0.838669i	0.325455	−	0.945558i	$-0.394483\pi$
$311$	−11.7947	−	14.7901i	−0.668816	−	0.838669i	−0.994271	+	0.106889i	$0.965911\pi$
$312$	−1.01693	+	0.489726i	−0.0575721	+	0.0277253i
$313$	4.14071	−	18.1416i	0.234047	−	1.02543i	−0.712199	−	0.701978i	$-0.752301\pi$
$313$	4.14071	−	18.1416i	0.234047	−	1.02543i	0.946246	−	0.323449i	$-0.104842\pi$
$314$	−14.8482	+	18.6190i	−0.837931	+	1.05073i
$315$	1.10023	−	4.82041i	0.0619908	−	0.271599i
$316$	−10.2017	−	4.91288i	−0.573891	−	0.276371i
$317$	−8.92274	−	11.1888i	−0.501151	−	0.628423i	0.465338	−	0.885133i	$-0.345933\pi$
$317$	−8.92274	−	11.1888i	−0.501151	−	0.628423i	−0.966489	+	0.256710i	$0.917362\pi$
$318$	−3.06249	−	3.84024i	−0.171736	−	0.215350i
$319$	−2.88135	−	12.6240i	−0.161325	−	0.706810i
$320$	−23.4916	−	11.3129i	−1.31322	−	0.632413i
$321$	−21.9121	+	10.5523i	−1.22302	+	0.588974i
$322$	−4.66756	−	20.4499i	−0.260113	−	1.13963i
$323$	−5.69202	−	24.9384i	−0.316713	−	1.38761i
$324$	18.9949	−	9.14747i	1.05527	−	0.508193i
$325$	0.277479	+	0.133627i	0.0153918	+	0.00741229i
$326$	−11.7078	−	51.2950i	−0.648432	−	2.84097i
$327$	−8.67576	−	10.8791i	−0.479771	−	0.601613i
$328$	5.91789	+	7.42081i	0.326761	+	0.409745i
$329$	−3.82640	−	1.84270i	−0.210956	−	0.101591i
$330$	−6.85086	+	30.0156i	−0.377127	+	1.65230i
$331$	12.1374	−	15.2198i	0.667130	−	0.836554i	−0.326969	−	0.945035i	$-0.606027\pi$
$331$	12.1374	−	15.2198i	0.667130	−	0.836554i	0.994099	+	0.108481i	$0.0345987\pi$
$332$	−6.89589	+	30.2129i	−0.378461	+	1.65815i
$333$	2.55549	−	1.23066i	0.140040	−	0.0674397i
$334$	−13.8904	−	17.4180i	−0.760048	−	0.953070i
$335$	7.54288	−	3.63246i	0.412111	−	0.198462i
$336$	−3.30194	+	4.14050i	−0.180135	+	0.225883i
$337$	−7.66786			−0.417695			−0.208847	−	0.977948i	$-0.566971\pi$
$337$	−7.66786			−0.417695			−0.208847	+	0.977948i	$0.566971\pi$
$338$	28.9976			1.57726
$339$	−9.05980	+	11.3606i	−0.492061	+	0.617025i
$340$	24.6896	+	11.8899i	1.33898	+	0.644820i
$341$	3.51184	+	15.3864i	0.190177	+	0.833220i
$342$	−1.65668	+	7.25838i	−0.0895829	+	0.392488i
$343$	−17.1444			−0.925708
$344$	11.4792	−	10.3485i	0.618916	−	0.557954i
$345$	6.83579			0.368027
$346$	−0.766594	+	3.35867i	−0.0412123	+	0.180563i
$347$	−1.22976	−	5.38792i	−0.0660169	−	0.289239i	0.931133	−	0.364679i	$-0.118821\pi$
$347$	−1.22976	−	5.38792i	−0.0660169	−	0.289239i	−0.997150	+	0.0754397i	$0.975964\pi$
$348$	−12.5538	−	6.04557i	−0.672952	−	0.324077i
$349$	−1.60656	+	2.01457i	−0.0859974	+	0.107837i	−0.822969	−	0.568087i	$-0.807684\pi$
$349$	−1.60656	+	2.01457i	−0.0859974	+	0.107837i	0.736971	+	0.675924i	$0.236255\pi$
$350$	−9.54288			−0.510088
$351$	1.71545			0.0915638
$352$	−17.8986	+	22.4441i	−0.953997	+	1.19627i
$353$	−21.6015	+	10.4027i	−1.14973	+	0.553681i	−0.908953	−	0.416899i	$-0.863117\pi$
$353$	−21.6015	+	10.4027i	−1.14973	+	0.553681i	−0.240778	+	0.970580i	$0.577403\pi$
$354$	−7.09970	−	8.90274i	−0.377345	−	0.473175i
$355$	−15.8780	+	7.64644i	−0.842717	+	0.405831i
$356$	−3.39062	+	14.8553i	−0.179702	+	0.787327i
$357$	18.5036	−	23.2028i	0.979317	−	1.22802i
$358$	−8.61141	+	37.7290i	−0.455127	+	1.99404i
$359$	2.45204	+	1.18084i	0.129414	+	0.0623224i	0.497470	−	0.867481i	$-0.334262\pi$
$359$	2.45204	+	1.18084i	0.129414	+	0.0623224i	−0.368056	+	0.929803i	$0.619977\pi$
$360$	−1.71081	−	2.14529i	−0.0901675	−	0.113066i
$361$	8.35421	+	10.4758i	0.439695	+	0.551360i
$362$	6.06734	+	26.5827i	0.318892	+	1.39716i
$363$	11.7838	+	5.67479i	0.618490	+	0.297849i
$364$	3.59299	−	1.73029i	0.188324	−	0.0906920i
$365$	1.89440	+	8.29989i	0.0991572	+	0.434436i
$366$	−1.76391	−	7.72818i	−0.0922008	−	0.403958i
$367$	17.5260	−	8.44005i	0.914847	−	0.440567i	0.0836185	−	0.996498i	$-0.473352\pi$
$367$	17.5260	−	8.44005i	0.914847	−	0.440567i	0.831229	+	0.555931i	$0.187638\pi$
$368$	1.58815	+	0.764811i	0.0827878	+	0.0398685i
$369$	−0.521639	−	2.28545i	−0.0271554	−	0.118976i
$370$	13.6528	+	17.1201i	0.709775	+	0.890030i
$371$	3.72252	+	4.66789i	0.193264	+	0.242345i
$372$	15.3007	+	7.36845i	0.793306	+	0.382036i
$373$	3.98158	−	17.4445i	0.206159	−	0.903239i	−0.760937	−	0.648826i	$-0.775260\pi$
$373$	3.98158	−	17.4445i	0.206159	−	0.903239i	0.967095	−	0.254414i	$-0.0818825\pi$
$374$	27.7385	−	34.7830i	1.43433	−	1.79859i
$375$	4.15213	−	18.1917i	0.214415	−	0.939414i
$376$	−2.12349	+	1.02262i	−0.109511	+	0.0527375i
$377$	−0.564351	−	0.707674i	−0.0290656	−	0.0364471i
$378$	−47.8901	+	23.0627i	−2.46320	+	1.18622i
$379$	3.01693	−	3.78311i	0.154969	−	0.194325i	−0.698286	−	0.715819i	$-0.746054\pi$
$379$	3.01693	−	3.78311i	0.154969	−	0.194325i	0.853255	+	0.521494i	$0.174625\pi$
$380$	−34.7090			−1.78053
$381$	22.7657			1.16632
$382$	22.4460	−	28.1464i	1.14844	−	1.44009i
$383$	3.89708	+	1.87674i	0.199132	+	0.0958968i	0.530792	−	0.847502i	$-0.321895\pi$
$383$	3.89708	+	1.87674i	0.199132	+	0.0958968i	−0.331660	+	0.943399i	$0.607609\pi$
$384$	5.62684	+	24.6528i	0.287144	+	1.25806i
$385$	8.32736	−	36.4845i	0.424401	−	1.85942i
$386$	−53.4499			−2.72053
$387$	−3.66331	+	1.07264i	−0.186216	+	0.0545255i
$388$	55.6335			2.82436
$389$	−6.60872	+	28.9547i	−0.335075	+	1.46806i	0.474088	+	0.880477i	$0.342778\pi$
$389$	−6.60872	+	28.9547i	−0.335075	+	1.46806i	−0.809163	+	0.587584i	$0.800079\pi$
$390$	0.478894	+	2.09817i	0.0242497	+	0.106245i
$391$	−8.89977	−	4.28590i	−0.450081	−	0.216748i
$392$	−16.2186	+	20.3375i	−0.819165	+	1.02720i
$393$	16.3177			0.823117
$394$	−35.6262			−1.79482
$395$	−4.63102	+	5.80712i	−0.233012	+	0.292188i
$396$	−7.04503	+	3.39271i	−0.354026	+	0.170490i
$397$	5.17510	+	6.48936i	0.259731	+	0.325692i	0.894549	−	0.446969i	$-0.147497\pi$
$397$	5.17510	+	6.48936i	0.259731	+	0.325692i	−0.634819	+	0.772661i	$0.718925\pi$
$398$	17.7310	−	8.53881i	0.888775	−	0.428012i
$399$	−8.36443	+	36.6470i	−0.418745	+	1.83464i
$400$	0.500000	−	0.626980i	0.0250000	−	0.0313490i
$401$	0.208283	−	0.912549i	0.0104012	−	0.0455705i	−0.969461	−	0.245245i	$-0.921131\pi$
$401$	0.208283	−	0.912549i	0.0104012	−	0.0455705i	0.979862	+	0.199675i	$0.0639886\pi$
$402$	−13.1773	−	6.34583i	−0.657222	−	0.316501i
$403$	0.687841	+	0.862525i	0.0342638	+	0.0429655i
$404$	−17.5266	−	21.9777i	−0.871982	−	1.09343i
$405$	−3.07739	−	13.4829i	−0.152917	−	0.669973i
$406$	25.2690	+	12.1689i	1.25408	+	0.603934i
$407$	19.3419	−	9.31456i	0.958742	−	0.461706i
$408$	−3.66487	−	16.0569i	−0.181438	−	0.794933i
$409$	−0.761750	−	3.33744i	−0.0376661	−	0.165026i	0.952597	−	0.304236i	$-0.0984010\pi$
$409$	−0.761750	−	3.33744i	−0.0376661	−	0.165026i	−0.990263	+	0.139210i	$0.955544\pi$
$410$	16.3056	−	7.85236i	0.805275	−	0.387800i
$411$	−12.5368	−	6.03742i	−0.618397	−	0.297804i
$412$	0.789856	+	3.46059i	0.0389134	+	0.170491i
$413$	8.62983	+	10.8215i	0.424646	+	0.532489i
$414$	1.79254	+	2.24778i	0.0880988	+	0.110472i
$415$	18.3153	+	8.82017i	0.899061	+	0.432965i
$416$	−0.446534	+	1.95639i	−0.0218931	+	0.0959200i
$417$	−8.16115	+	10.2338i	−0.399653	+	0.501150i
$418$	−12.5390	+	54.9369i	−0.613302	+	2.68705i
$419$	−2.83997	+	1.36766i	−0.138742	+	0.0668144i	−0.501967	−	0.864887i	$-0.667390\pi$
$419$	−2.83997	+	1.36766i	−0.138742	+	0.0668144i	0.363225	+	0.931701i	$0.381676\pi$
$420$	−25.1075	−	31.4838i	−1.22512	−	1.53625i
$421$	−29.2494	+	14.0858i	−1.42553	+	0.686499i	−0.978161	−	0.207850i	$-0.933353\pi$
$421$	−29.2494	+	14.0858i	−1.42553	+	0.686499i	−0.447369	+	0.894349i	$0.647639\pi$
$422$	−12.0293	+	15.0843i	−0.585577	+	0.734291i
$423$	0.582105			0.0283029
$424$	3.31336			0.160911
$425$	−2.80194	+	3.51352i	−0.135914	+	0.170431i
$426$	27.7385	+	13.3582i	1.34394	+	0.647206i
$427$	2.14406	+	9.39376i	0.103759	+	0.454596i
$428$	10.6114	−	46.4916i	0.512922	−	2.24726i
$429$	2.10992			0.101868
$430$	−14.3666	−	25.7297i	−0.692818	−	1.24079i
$431$	35.9148			1.72996			0.864978	−	0.501809i	$-0.167332\pi$
$431$	35.9148			1.72996			0.864978	+	0.501809i	$0.167332\pi$
$432$	0.993959	−	4.35482i	0.0478219	−	0.209521i
$433$	−5.91119	−	25.8986i	−0.284074	−	1.24461i	−0.892518	−	0.451012i	$-0.851063\pi$
$433$	−5.91119	−	25.8986i	−0.284074	−	1.24461i	0.608444	−	0.793596i	$-0.291794\pi$
$434$	−30.7983	−	14.8317i	−1.47837	−	0.711945i
$435$	−5.69873	+	7.14598i	−0.273233	+	0.342623i
$436$	27.2838			1.30666
$437$	12.5114			0.598502
$438$	9.27293	−	11.6279i	0.443078	−	0.555602i
$439$	−36.0393	+	17.3556i	−1.72006	+	0.828338i	−0.730728	+	0.682669i	$0.760819\pi$
$439$	−36.0393	+	17.3556i	−1.72006	+	0.828338i	−0.989333	+	0.145669i	$0.953467\pi$
$440$	−12.9487	−	16.2371i	−0.617305	−	0.774075i
$441$	5.78836	−	2.78753i	0.275636	−	0.132739i
$442$	0.692021	−	3.03194i	0.0329161	−	0.144215i
$443$	9.85152	−	12.3534i	0.468060	−	0.586928i	−0.490635	−	0.871365i	$-0.663235\pi$
$443$	9.85152	−	12.3534i	0.468060	−	0.586928i	0.958695	+	0.284437i	$0.0918066\pi$
$444$	5.14042	−	22.5216i	0.243953	−	1.06883i
$445$	9.00538	+	4.33676i	0.426896	+	0.205582i
$446$	10.6528	+	13.3582i	0.504424	+	0.632528i
$447$	6.04474	+	7.57986i	0.285906	+	0.358515i
$448$	−12.3204	−	53.9790i	−0.582082	−	2.55027i
$449$	11.7310	+	5.64936i	0.553621	+	0.266610i	0.689709	−	0.724087i	$-0.257739\pi$
$449$	11.7310	+	5.64936i	0.553621	+	0.266610i	−0.136088	+	0.990697i	$0.543453\pi$
$450$	1.17845	−	0.567511i	0.0555526	−	0.0267527i
$451$	−3.94816	−	17.2980i	−0.185911	−	0.814531i
$452$	−6.33997	−	27.7772i	−0.298207	−	1.30653i
$453$	−7.85086	+	3.78077i	−0.368865	+	0.177636i
$454$	31.4061	+	15.1244i	1.47396	+	0.709823i
$455$	−0.582105	−	2.55037i	−0.0272895	−	0.119563i
$456$	13.0063	+	16.3094i	0.609078	+	0.763759i
$457$	−15.3787	−	19.2842i	−0.719384	−	0.902079i	0.278919	−	0.960315i	$-0.410024\pi$
$457$	−15.3787	−	19.2842i	−0.719384	−	0.902079i	−0.998303	+	0.0582360i	$0.981452\pi$
$458$	−47.8488	−	23.0427i	−2.23583	−	1.07672i
$459$	−5.57002	+	24.4039i	−0.259986	+	1.13908i
$460$	−8.35690	+	10.4792i	−0.389642	+	0.488596i
$461$	−2.26218	+	9.91124i	−0.105360	+	0.461613i	0.894533	+	0.447002i	$0.147508\pi$
$461$	−2.26218	+	9.91124i	−0.105360	+	0.461613i	−0.999893	+	0.0146111i	$0.995349\pi$
$462$	−58.9025	+	28.3660i	−2.74039	+	1.31970i
$463$	9.08426	+	11.3913i	0.422181	+	0.529399i	0.946750	−	0.321969i	$-0.104345\pi$
$463$	9.08426	+	11.3913i	0.422181	+	0.529399i	−0.524569	+	0.851368i	$0.675773\pi$
$464$	−2.12349	+	1.02262i	−0.0985805	+	0.0474739i
$465$	6.94571	−	8.70964i	0.322099	−	0.403900i
$466$	48.6752			2.25483
$467$	9.56704			0.442710			0.221355	−	0.975193i	$-0.428952\pi$
$467$	9.56704			0.442710			0.221355	+	0.975193i	$0.428952\pi$
$468$	−0.340798	+	0.427347i	−0.0157534	+	0.0197541i
$469$	16.0172	+	7.71349i	0.739607	+	0.356176i
$470$	1.00000	+	4.38129i	0.0461266	+	0.202094i
$471$	3.66719	−	16.0670i	0.168975	−	0.740330i
$472$	7.68127			0.353559
$473$	−27.7267	+	8.11857i	−1.27488	+	0.373292i
$474$	12.9758			0.596000
$475$	1.26659	−	5.54931i	0.0581153	−	0.254620i
$476$	12.9487	+	56.7319i	0.593502	+	2.60030i
$477$	−0.737291	−	0.355061i	−0.0337582	−	0.0162571i
$478$	24.0981	−	30.2181i	1.10222	−	1.38214i
$479$	−24.7851			−1.13246			−0.566229	−	0.824248i	$-0.691598\pi$
$479$	−24.7851			−1.13246			−0.566229	+	0.824248i	$0.691598\pi$
$480$	20.2634			0.924892
$481$	0.935649	−	1.17327i	0.0426619	−	0.0534963i
$482$	51.1969	−	24.6551i	2.33196	−	1.12301i
$483$	9.05041	+	11.3489i	0.411808	+	0.516391i
$484$	−23.1054	+	11.1270i	−1.05024	+	0.505771i
$485$	8.12067	−	35.5790i	0.368741	−	1.61556i
$486$	8.34667	−	10.4664i	0.378613	−	0.474766i
$487$	−5.76487	+	25.2575i	−0.261231	+	1.14453i	0.658687	+	0.752417i	$0.271112\pi$
$487$	−5.76487	+	25.2575i	−0.261231	+	1.14453i	−0.919918	+	0.392111i	$0.871745\pi$
$488$	4.81767	+	2.32007i	0.218086	+	0.105024i
$489$	22.7013	+	28.4666i	1.02659	+	1.28730i
$490$	30.9245	+	38.7781i	1.39703	+	1.75182i
$491$	−5.49731	−	24.0853i	−0.248090	−	1.08695i	−0.933438	−	0.358738i	$-0.883207\pi$
$491$	−5.49731	−	24.0853i	−0.248090	−	1.08695i	0.685348	−	0.728216i	$-0.259650\pi$
$492$	−17.2017	−	8.28391i	−0.775513	−	0.373467i
$493$	11.8998	−	5.73063i	0.535939	−	0.258095i
$494$	0.876510	+	3.84024i	0.0394361	+	0.172781i
$495$	1.14138	+	5.00069i	0.0513010	+	0.224764i
$496$	2.58815	−	1.24639i	0.116211	−	0.0559644i
$497$	−33.7168	−	16.2371i	−1.51240	−	0.728335i
$498$	−7.90246	−	34.6229i	−0.354118	−	1.55149i
$499$	−17.5082	−	21.9546i	−0.783775	−	0.982822i	−0.999979	−	0.00647407i	$-0.997939\pi$
$499$	−17.5082	−	21.9546i	−0.783775	−	0.982822i	0.216205	−	0.976348i	$-0.430632\pi$
$500$	22.8116	+	28.6049i	1.02017	+	1.27925i
$501$	13.8904	+	6.68925i	0.620576	+	0.298854i
$502$	−0.970697	+	4.25290i	−0.0433243	+	0.189816i
$503$	−18.0262	+	22.6042i	−0.803751	+	1.00787i	0.195878	+	0.980628i	$0.437244\pi$
$503$	−18.0262	+	22.6042i	−0.803751	+	1.00787i	−0.999629	+	0.0272431i	$0.991327\pi$
$504$	1.29656	−	5.68060i	0.0577534	−	0.253034i
$505$	−16.6136	+	8.00067i	−0.739294	+	0.356025i
$506$	13.5673	+	17.0129i	0.603142	+	0.756316i
$507$	−18.0797	+	8.70673i	−0.802948	+	0.386679i
$508$	−27.8315	+	34.8996i	−1.23482	+	1.54842i
$509$	3.65040			0.161801			0.0809006	−	0.996722i	$-0.474220\pi$
$509$	3.65040			0.161801			0.0809006	+	0.996722i	$0.474220\pi$
$510$	−31.4034			−1.39057
$511$	−11.2714	+	14.1339i	−0.498619	+	0.625249i
$512$	8.11356	+	3.90729i	0.358572	+	0.172679i
$513$	−7.05496	−	30.9098i	−0.311484	−	1.36470i
$514$	7.85839	−	34.4298i	0.346619	−	1.51864i
$515$	2.32842			0.102602
$516$	−11.7721	+	28.7734i	−0.518238	+	1.26668i
$517$	4.40581			0.193767
$518$	−10.3470	+	45.3330i	−0.454620	+	1.99182i
$519$	−0.530499	−	2.32427i	−0.0232863	−	0.102024i
$520$	−1.30798	−	0.629889i	−0.0573587	−	0.0276225i
$521$	−8.49545	+	10.6530i	−0.372192	+	0.466715i	−0.932290	−	0.361712i	$-0.882192\pi$
$521$	−8.49545	+	10.6530i	−0.372192	+	0.466715i	0.560097	+	0.828427i	$0.310764\pi$
$522$	−3.84415			−0.168254
$523$	4.45904			0.194980			0.0974902	−	0.995236i	$-0.468919\pi$
$523$	4.45904			0.194980			0.0974902	+	0.995236i	$0.468919\pi$
$524$	−19.9487	+	25.0149i	−0.871463	+	1.09278i
$525$	5.94989	−	2.86531i	0.259674	−	0.125053i
$526$	20.5620	+	25.7839i	0.896544	+	1.12423i
$527$	−14.5036	+	6.98459i	−0.631789	+	0.304253i
$528$	1.22252	−	5.35621i	0.0532034	−	0.233099i
$529$	−11.3279	+	14.2047i	−0.492517	+	0.617597i
$530$	1.40581	−	6.15927i	0.0610646	−	0.267542i
$531$	−1.70924	−	0.823128i	−0.0741748	−	0.0357207i
$532$	−45.9538	−	57.6243i	−1.99235	−	2.49833i
$533$	−0.773299	−	0.969686i	−0.0334953	−	0.0420018i
$534$	−3.88553	−	17.0236i	−0.168144	−	0.736685i
$535$	−28.1836	−	13.5725i	−1.21848	−	0.586790i
$536$	8.88889	−	4.28066i	0.383941	−	0.184896i
$537$	−5.95928	−	26.1093i	−0.257162	−	1.12670i
$538$	−7.53803	−	33.0263i	−0.324988	−	1.42386i
$539$	43.8107	−	21.0981i	1.88706	−	0.908761i
$540$	30.6015	+	14.7369i	1.31688	+	0.634175i
$541$	3.74482	+	16.4071i	0.161003	+	0.705398i	0.989395	+	0.145250i	$0.0463987\pi$
$541$	3.74482	+	16.4071i	0.161003	+	0.705398i	−0.828392	+	0.560148i	$0.810744\pi$
$542$	32.4110	+	40.6420i	1.39217	+	1.74573i
$543$	−11.7646	−	14.7523i	−0.504866	−	0.633082i
$544$	−26.3817	−	12.7047i	−1.13110	−	0.544711i
$545$	3.98254	−	17.4487i	0.170593	−	0.747418i
$546$	−2.84936	+	3.57299i	−0.121941	+	0.152910i
$547$	1.76606	−	7.73762i	0.0755113	−	0.330837i	−0.923036	−	0.384713i	$-0.874300\pi$
$547$	1.76606	−	7.73762i	0.0755113	−	0.330837i	0.998548	+	0.0538761i	$0.0171576\pi$
$548$	24.5819	−	11.8380i	1.05009	−	0.505694i
$549$	−0.823413	−	1.03253i	−0.0351424	−	0.0440672i
$550$	8.91939	−	4.29535i	0.380324	−	0.183154i
$551$	−10.4303	+	13.0791i	−0.444345	+	0.557190i
$552$	8.05562			0.342870
$553$	−15.7724			−0.670711
$554$	−29.1151	+	36.5091i	−1.23698	+	1.55112i
$555$	−13.6528	−	6.57484i	−0.579529	−	0.279086i
$556$	−5.71110	−	25.0220i	−0.242205	−	1.06117i
$557$	3.22318	−	14.1217i	0.136571	−	0.598355i	−0.859603	−	0.510962i	$-0.829289\pi$
$557$	3.22318	−	14.1217i	0.136571	−	0.598355i	0.996174	−	0.0873932i	$-0.0278537\pi$
$558$	4.68532			0.198345
$559$	−1.50000	+	1.35225i	−0.0634432	+	0.0571941i
$560$	−6.81163			−0.287844
$561$	−6.85086	+	30.0156i	−0.289243	+	1.26726i
$562$	9.41819	+	41.2638i	0.397282	+	1.74061i
$563$	6.05884	+	2.91779i	0.255350	+	0.122970i	0.557180	−	0.830392i	$-0.311883\pi$
$563$	6.05884	+	2.91779i	0.255350	+	0.122970i	−0.301830	+	0.953362i	$0.597598\pi$
$564$	2.95593	−	3.70662i	0.124467	−	0.156077i
$565$	−18.6896			−0.786279
$566$	29.3086			1.23193
$567$	18.3101	−	22.9602i	0.768953	−	0.964237i
$568$	−18.7114	+	9.01093i	−0.785113	+	0.378090i
$569$	−26.3357	−	33.0239i	−1.10405	−	1.38444i	−0.915474	−	0.402377i	$-0.868184\pi$
$569$	−26.3357	−	33.0239i	−1.10405	−	1.38444i	−0.188577	−	0.982058i	$-0.560387\pi$
$570$	35.8364	−	17.2579i	1.50102	−	0.722854i
$571$	−3.62551	+	15.8844i	−0.151723	+	0.664742i	0.840661	+	0.541561i	$0.182167\pi$
$571$	−3.62551	+	15.8844i	−0.151723	+	0.664742i	−0.992384	+	0.123181i	$0.960691\pi$
$572$	−2.57942	+	3.23449i	−0.107851	+	0.135241i
$573$	−5.54370	+	24.2886i	−0.231592	+	1.01467i
$574$	34.6247	+	16.6744i	1.44521	+	0.695976i
$575$	−1.37047	−	1.71851i	−0.0571525	−	0.0716670i
$576$	4.73155	+	5.93317i	0.197148	+	0.247215i
$577$	9.89858	+	43.3685i	0.412083	+	1.80545i	0.574238	+	0.818689i	$0.305299\pi$
$577$	9.89858	+	43.3685i	0.412083	+	1.80545i	−0.162155	+	0.986765i	$0.551844\pi$
$578$	6.46950	+	3.11555i	0.269096	+	0.129590i
$579$	33.3255	−	16.0487i	1.38496	−	0.666962i
$580$	−3.98792	−	17.4722i	−0.165589	−	0.725494i
$581$	9.60560	+	42.0849i	0.398508	+	1.74598i
$582$	−57.4406	+	27.6619i	−2.38099	+	1.14662i
$583$	−5.58038	−	2.68737i	−0.231116	−	0.111299i
$584$	2.23245	+	9.78099i	0.0923793	+	0.404740i
$585$	0.223553	+	0.280327i	0.00924280	+	0.0115901i
$586$	−37.1673	−	46.6064i	−1.53537	−	1.92529i
$587$	27.4034	+	13.1968i	1.13106	+	0.544690i	0.903292	−	0.429026i	$-0.141143\pi$
$587$	27.4034	+	13.1968i	1.13106	+	0.544690i	0.227768	+	0.973715i	$0.426857\pi$
$588$	11.6434	−	51.0131i	0.480166	−	2.10374i
$589$	12.7126	−	15.9411i	0.523813	−	0.656841i
$590$	3.25906	−	14.2789i	0.134173	−	0.587852i
$591$	22.2126	−	10.6970i	0.913704	−	0.440017i
$592$	−2.43631	−	3.05504i	−0.100132	−	0.125561i
$593$	2.05400	−	0.989154i	0.0843476	−	0.0406197i	−0.391234	−	0.920291i	$-0.627952\pi$
$593$	2.05400	−	0.989154i	0.0843476	−	0.0406197i	0.475582	+	0.879671i	$0.342238\pi$
$594$	34.3805	−	43.1117i	1.41065	−	1.76890i
$595$	38.1715			1.56488
$596$	−19.0097			−0.778667
$597$	−8.49127	+	10.6477i	−0.347525	+	0.435782i
$598$	1.37047	+	0.659983i	0.0560427	+	0.0269887i
$599$	4.87853	+	21.3743i	0.199332	+	0.873328i	0.971336	+	0.237711i	$0.0763972\pi$
$599$	4.87853	+	21.3743i	0.199332	+	0.873328i	−0.772004	+	0.635617i	$0.780746\pi$
$600$	0.815511	−	3.57299i	0.0332931	−	0.145867i
$601$	8.27173			0.337411			0.168706	−	0.985666i	$-0.446041\pi$
$601$	8.27173			0.337411			0.168706	+	0.985666i	$0.446041\pi$
$602$	23.6957	−	57.9170i	0.965763	−	2.36052i
$603$	−2.43668			−0.0992293
$604$	3.80194	−	16.6574i	0.154699	−	0.677779i
$605$	3.74333	+	16.4006i	0.152188	+	0.666780i
$606$	29.0236	+	13.9770i	1.17900	+	0.567777i
$607$	7.42543	−	9.31119i	0.301389	−	0.377930i	−0.607958	−	0.793970i	$-0.708011\pi$
$607$	7.42543	−	9.31119i	0.301389	−	0.377930i	0.909346	+	0.416040i	$0.136582\pi$
$608$	37.0877			1.50410
$609$	−19.4088			−0.786484
$610$	6.35690	−	7.97130i	0.257383	−	0.322748i
$611$	0.277479	−	0.133627i	0.0112256	−	0.00540596i
$612$	−4.97285	−	6.23576i	−0.201016	−	0.252066i
$613$	1.70948	−	0.823242i	0.0690452	−	0.0332504i	−0.399042	−	0.916932i	$-0.630657\pi$
$613$	1.70948	−	0.823242i	0.0690452	−	0.0332504i	0.468088	+	0.883682i	$0.344943\pi$
$614$	−3.54138	+	15.5158i	−0.142919	+	0.626168i
$615$	−7.80864	+	9.79173i	−0.314875	+	0.394841i
$616$	9.81336	−	42.9951i	0.395391	−	1.73232i
$617$	−43.7323	−	21.0604i	−1.76059	−	0.847858i	−0.972706	−	0.232040i	$-0.925460\pi$
$617$	−43.7323	−	21.0604i	−1.76059	−	0.847858i	−0.787889	−	0.615818i	$-0.788826\pi$
$618$	−2.53617	−	3.18026i	−0.102020	−	0.127929i
$619$	10.0420	+	12.5923i	0.403624	+	0.506129i	0.941554	−	0.336861i	$-0.109365\pi$
$619$	10.0420	+	12.5923i	0.403624	+	0.506129i	−0.537930	+	0.842989i	$0.680794\pi$
$620$	4.86054	+	21.2954i	0.195204	+	0.855245i
$621$	−11.0308	−	5.31215i	−0.442651	−	0.213169i
$622$	−38.2972	+	18.4429i	−1.53558	+	0.739494i
$623$	4.72295	+	20.6926i	0.189221	+	0.829031i
$624$	−0.0854576	−	0.374414i	−0.00342104	−	0.0149886i
$625$	17.1184	−	8.24379i	0.684736	−	0.329752i
$626$	−37.6715	−	18.1416i	−1.50566	−	0.725086i
$627$	−8.67725	−	38.0175i	−0.346536	−	1.51827i
$628$	20.1474	+	25.2641i	0.803969	+	1.00815i
$629$	13.6528	+	17.1201i	0.544372	+	0.682622i
$630$	−10.0097	−	4.82041i	−0.398796	−	0.192050i
$631$	6.84362	−	29.9838i	0.272440	−	1.19364i	−0.634683	−	0.772773i	$-0.718869\pi$
$631$	6.84362	−	29.9838i	0.272440	−	1.19364i	0.907123	−	0.420866i	$-0.138274\pi$
$632$	−5.45742	+	6.84339i	−0.217084	+	0.272215i
$633$	2.97099	−	13.0168i	0.118086	−	0.517370i
$634$	−28.9720	+	13.9522i	−1.15062	+	0.554111i
$635$	18.2567	+	22.8931i	0.724494	+	0.908486i
$636$	−6.00484	+	2.89178i	−0.238108	+	0.114667i
$637$	2.11931	−	2.65753i	0.0839701	−	0.105295i
$638$	−29.0954			−1.15190
$639$	5.12929			0.202912
$640$	−20.2784	+	25.4284i	−0.801576	+	1.00514i
$641$	18.8436	+	9.07461i	0.744278	+	0.358425i	0.767282	−	0.641310i	$-0.221609\pi$
$641$	18.8436	+	9.07461i	0.744278	+	0.358425i	−0.0230038	+	0.999735i	$0.507323\pi$
$642$	12.1603	+	53.2779i	0.479930	+	2.10271i
$643$	−7.03146	+	30.8068i	−0.277294	+	1.21490i	0.623906	+	0.781499i	$0.285545\pi$
$643$	−7.03146	+	30.8068i	−0.277294	+	1.21490i	−0.901200	+	0.433404i	$0.857312\pi$
$644$	−28.4620			−1.12156
$645$	16.6829	+	11.7285i	0.656889	+	0.461810i
$646$	−57.4771			−2.26141
$647$	8.21744	−	36.0030i	0.323061	−	1.41542i	−0.509014	−	0.860758i	$-0.669990\pi$
$647$	8.21744	−	36.0030i	0.323061	−	1.41542i	0.832075	−	0.554664i	$-0.187153\pi$
$648$	−3.62655	−	15.8889i	−0.142464	−	0.624176i
$649$	−12.9368	−	6.23006i	−0.507816	−	0.244551i
$650$	0.431468	−	0.541044i	0.0169236	−	0.0212215i
$651$	23.6558			0.927143
$652$	−71.3919			−2.79592
$653$	−3.11679	+	3.90832i	−0.121969	+	0.152945i	−0.839067	−	0.544028i	$-0.816899\pi$
$653$	−3.11679	+	3.90832i	−0.121969	+	0.152945i	0.717098	+	0.696972i	$0.245470\pi$
$654$	−28.1700	+	13.5660i	−1.10153	+	0.530471i
$655$	13.0858	+	16.4090i	0.511303	+	0.641153i
$656$	−2.90970	+	1.40124i	−0.113605	+	0.0547091i
$657$	0.551369	−	2.41570i	0.0215109	−	0.0942456i
$658$	−5.94989	+	7.46092i	−0.231951	+	0.290857i
$659$	0.945469	−	4.14237i	0.0368302	−	0.161364i	−0.953169	−	0.302440i	$-0.902199\pi$
$659$	0.945469	−	4.14237i	0.0368302	−	0.161364i	0.989999	+	0.141076i	$0.0450561\pi$
$660$	37.6383	+	18.1257i	1.46507	+	0.705540i
$661$	−27.5221	−	34.5116i	−1.07048	−	1.34234i	−0.936226	−	0.351398i	$-0.885706\pi$
$661$	−27.5221	−	34.5116i	−1.07048	−	1.34234i	−0.134258	−	0.990946i	$-0.542865\pi$
$662$	−27.2724	−	34.1985i	−1.05997	−	1.32916i
$663$	0.478894	+	2.09817i	0.0185987	+	0.0814862i
$664$	21.5836	+	10.3941i	0.837606	+	0.403370i
$665$	−43.5599	+	20.9773i	−1.68918	+	0.813466i
$666$	−1.41819	−	6.21350i	−0.0549538	−	0.240768i
$667$	1.43751	+	6.29814i	0.0556606	+	0.243865i
$668$	−27.2359	+	13.1161i	−1.05379	+	0.507477i
$669$	−10.6528	−	5.13011i	−0.411861	−	0.198342i
$670$	−4.18598	−	18.3400i	−0.161719	−	0.708535i
$671$	−6.23221	−	7.81494i	−0.240592	−	0.301693i
$672$	26.8282	+	33.6415i	1.03492	+	1.29775i
$673$	10.7497	+	5.17677i	0.414369	+	0.199550i	0.629441	−	0.777049i	$-0.283284\pi$
$673$	10.7497	+	5.17677i	0.414369	+	0.199550i	−0.215071	+	0.976598i	$0.568998\pi$
$674$	−3.83393	+	16.7975i	−0.147677	+	0.647017i
$675$	−3.47285	+	4.35482i	−0.133670	+	0.167617i
$676$	8.75547	−	38.3602i	0.336749	−	1.47539i
$677$	32.4180	−	15.6117i	1.24592	−	0.600005i	0.309507	−	0.950897i	$-0.399836\pi$
$677$	32.4180	−	15.6117i	1.24592	−	0.600005i	0.936416	+	0.350892i	$0.114122\pi$
$678$	20.3572	+	25.5271i	0.781813	+	0.980363i
$679$	69.8202	−	33.6236i	2.67945	−	1.29036i
$680$	13.2078	−	16.5620i	0.506494	−	0.635124i
$681$	−24.1226			−0.924380
$682$	35.4620			1.35791
$683$	17.6645	−	22.1506i	0.675914	−	0.847569i	−0.319057	−	0.947735i	$-0.603366\pi$
$683$	17.6645	−	22.1506i	0.675914	−	0.847569i	0.994971	+	0.100167i	$0.0319376\pi$
$684$	9.10172	+	4.38316i	0.348013	+	0.167594i
$685$	−3.98254	−	17.4487i	−0.152165	−	0.666679i
$686$	−8.57218	+	37.5572i	−0.327287	+	1.43394i
$687$	36.7520			1.40217
$688$	2.56369	+	4.59140i	0.0977397	+	0.175046i
$689$	−0.432960			−0.0164945
$690$	3.41789	−	14.9748i	0.130117	−	0.570080i
$691$	1.45928	+	6.39352i	0.0555136	+	0.243221i	0.995070	−	0.0991725i	$-0.0316196\pi$
$691$	1.45928	+	6.39352i	0.0555136	+	0.243221i	−0.939557	+	0.342393i	$0.888762\pi$
$692$	4.21164	+	2.02822i	0.160102	+	0.0771012i
$693$	−6.79105	+	8.51571i	−0.257971	+	0.323485i
$694$	−12.4179			−0.471377
$695$	−16.8358			−0.638618
$696$	−6.71565	+	8.42116i	−0.254556	+	0.319203i
$697$	16.3056	−	7.85236i	0.617618	−	0.297429i
$698$	3.60992	+	4.52669i	0.136637	+	0.171338i
$699$	−30.3485	+	14.6150i	−1.14788	+	0.552792i
$700$	−2.88135	+	12.6240i	−0.108905	+	0.477144i
$701$	22.3869	−	28.0722i	0.845540	−	1.06027i	−0.151874	−	0.988400i	$-0.548531\pi$
$701$	22.3869	−	28.0722i	0.845540	−	1.06027i	0.997414	−	0.0718739i	$-0.0228979\pi$
$702$	0.857724	−	3.75793i	0.0323727	−	0.141834i
$703$	−24.9885	−	12.0338i	−0.942457	−	0.453864i
$704$	35.8119	+	44.9067i	1.34971	+	1.69249i
$705$	−1.93900	−	2.43143i	−0.0730270	−	0.0915730i
$706$	11.9879	+	52.5225i	0.451171	+	1.97671i
$707$	−35.2787	−	16.9893i	−1.32679	−	0.638950i
$708$	−13.9209	+	6.70394i	−0.523179	+	0.251950i
$709$	9.32185	+	40.8417i	0.350089	+	1.53384i	0.776972	+	0.629535i	$0.216754\pi$
$709$	9.32185	+	40.8417i	0.350089	+	1.53384i	−0.426883	+	0.904307i	$0.640388\pi$
$710$	8.81163	+	38.6063i	0.330694	+	1.44887i
$711$	1.94773	−	0.937977i	0.0730456	−	0.0351769i
$712$	10.6124	+	5.11065i	0.397715	+	0.191530i
$713$	−1.75206	−	7.67628i	−0.0656152	−	0.287479i
$714$	−41.5773	−	52.1363i	−1.55599	−	1.95115i
$715$	1.69202	+	2.12173i	0.0632780	+	0.0793481i
$716$	47.3107	+	22.7836i	1.76808	+	0.851465i
$717$	−5.95175	+	26.0763i	−0.222272	+	0.973837i
$718$	3.81282	−	4.78113i	0.142293	−	0.178430i
$719$	−7.37076	+	32.2934i	−0.274883	+	1.20434i	0.629288	+	0.777172i	$0.283346\pi$
$719$	−7.37076	+	32.2934i	−0.274883	+	1.20434i	−0.904171	+	0.427170i	$0.859511\pi$
$720$	0.841166	−	0.405084i	0.0313484	−	0.0150966i
$721$	3.08277	+	3.86567i	0.114808	+	0.143965i
$722$	27.1259	−	13.0632i	1.00952	−	0.486161i
$723$	−24.5179	+	30.7445i	−0.911830	+	1.14340i
$724$	36.9976			1.37501
$725$	2.93900			0.109152
$726$	18.3233	−	22.9767i	0.680043	−	0.852747i
$727$	6.27048	+	3.01970i	0.232559	+	0.111995i	0.546535	−	0.837437i	$-0.315947\pi$
$727$	6.27048	+	3.01970i	0.232559	+	0.111995i	−0.313975	+	0.949431i	$0.601661\pi$
$728$	−0.685981	−	3.00548i	−0.0254241	−	0.111390i
$729$	−6.67755	+	29.2562i	−0.247317	+	1.08356i
$730$	19.1293			0.708007
$731$	−14.3666	−	25.7297i	−0.531367	−	0.951646i
$732$	−10.7560			−0.397553
$733$	−8.59126	+	37.6408i	−0.317325	+	1.39029i	0.524898	+	0.851165i	$0.324103\pi$
$733$	−8.59126	+	37.6408i	−0.317325	+	1.39029i	−0.842223	+	0.539129i	$0.818754\pi$
$734$	−9.72617	−	42.6131i	−0.358999	−	1.57288i
$735$	−30.9245	−	14.8925i	−1.14067	−	0.549317i
$736$	8.92961	−	11.1974i	0.329150	−	0.412741i
$737$	−18.4426			−0.679344
$738$	−5.26742			−0.193896
$739$	21.4103	−	26.8477i	0.787590	−	0.987607i	−0.212356	−	0.977192i	$-0.568113\pi$
$739$	21.4103	−	26.8477i	0.787590	−	0.987607i	0.999946	−	0.0104144i	$-0.00331507\pi$
$740$	26.7700	−	12.8918i	0.984085	−	0.473910i
$741$	−1.69955	−	2.13117i	−0.0624347	−	0.0782906i
$742$	12.0869	−	5.82077i	0.443726	−	0.213687i
$743$	2.75475	−	12.0693i	0.101062	−	0.442781i	−0.898927	−	0.438098i	$-0.855652\pi$
$743$	2.75475	−	12.0693i	0.101062	−	0.442781i	0.999989	−	0.00468306i	$-0.00149067\pi$
$744$	8.18515	−	10.2639i	0.300082	−	0.376291i
$745$	−2.77479	+	12.1572i	−0.101660	+	0.445404i
$746$	−36.2238	−	17.4445i	−1.32625	−	0.638687i
$747$	−3.68896	−	4.62582i	−0.134972	−	0.169250i
$748$	−37.6383	−	47.1970i	−1.37619	−	1.72569i
$749$	−14.7811	−	64.7603i	−0.540091	−	2.36629i
$750$	−37.7754	−	18.1917i	−1.37936	−	0.664266i
$751$	16.5978	−	7.99310i	0.605664	−	0.291672i	−0.105809	−	0.994387i	$-0.533743\pi$
$751$	16.5978	−	7.99310i	0.605664	−	0.291672i	0.711472	+	0.702714i	$0.248029\pi$
$752$	−0.178448	−	0.781831i	−0.00650733	−	0.0285105i
$753$	−0.671743	−	2.94310i	−0.0244797	−	0.107252i
$754$	−1.83244	+	0.882455i	−0.0667334	+	0.0321371i
$755$	−10.0978	−	4.86286i	−0.367498	−	0.176978i
$756$	16.0492	+	70.3162i	0.583704	+	2.55738i
$757$	0.945870	+	1.18608i	0.0343782	+	0.0431089i	0.798723	−	0.601698i	$-0.205509\pi$
$757$	0.945870	+	1.18608i	0.0343782	+	0.0431089i	−0.764345	+	0.644807i	$0.776938\pi$
$758$	−6.77897	−	8.50056i	−0.246223	−	0.308754i
$759$	−13.5673	−	6.53368i	−0.492463	−	0.237158i
$760$	−5.97046	+	26.1583i	−0.216571	+	0.948861i
$761$	3.67174	−	4.60422i	0.133101	−	0.166903i	−0.710815	−	0.703379i	$-0.751674\pi$
$761$	3.67174	−	4.60422i	0.133101	−	0.166903i	0.843915	+	0.536476i	$0.180245\pi$
$762$	11.3828	−	49.8715i	0.412357	−	1.80665i
$763$	34.2412	−	16.4897i	1.23962	−	0.596968i
$764$	−30.4569	−	38.1917i	−1.10189	−	1.38173i
$765$	−4.71379	+	2.27004i	−0.170427	+	0.0820736i
$766$	6.05980	−	7.59875i	0.218950	−	0.274554i
$767$	−1.00372			−0.0362423
$768$	16.2755			0.587290
$769$	6.45175	−	8.09023i	0.232656	−	0.291741i	−0.651775	−	0.758412i	$-0.725975\pi$
$769$	6.45175	−	8.09023i	0.232656	−	0.291741i	0.884431	+	0.466671i	$0.154547\pi$
$770$	−75.7609	−	36.4845i	−2.73023	−	1.31481i
$771$	5.43817	+	23.8262i	0.195851	+	0.858079i
$772$	−16.1386	+	70.7076i	−0.580839	+	2.54482i
$773$	21.6601			0.779059			0.389530	−	0.921014i	$-0.372638\pi$
$773$	21.6601			0.779059			0.389530	+	0.921014i	$0.372638\pi$
$774$	0.518122	+	8.56133i	0.0186235	+	0.307730i
$775$	−3.58211			−0.128673
$776$	9.56979	−	41.9280i	0.343535	−	1.50513i
$777$	−7.16033	−	31.3714i	−0.256875	−	1.12544i
$778$	60.1250	+	28.9547i	2.15559	+	1.03808i
$779$	−14.2920	+	17.9216i	−0.512064	+	0.642109i
$780$	2.92021			0.104560
$781$	38.8224			1.38917
$782$	−13.8388	+	17.3533i	−0.494874	+	0.620552i
$783$	14.7491	−	7.10281i	0.527091	−	0.253834i
$784$	−5.51842	−	6.91988i	−0.197086	−	0.247138i
$785$	19.0978	−	9.19703i	0.681631	−	0.328256i
$786$	8.15883	−	35.7462i	0.291016	−	1.27502i
$787$	−20.7024	+	25.9600i	−0.737960	+	0.925372i	−0.999204	−	0.0399004i	$-0.987296\pi$
$787$	−20.7024	+	25.9600i	−0.737960	+	0.925372i	0.261244	+	0.965273i	$0.415867\pi$
$788$	−10.7569	+	47.1291i	−0.383199	+	1.67890i
$789$	−20.5620	−	9.90212i	−0.732025	−	0.352525i
$790$	10.4058	+	13.0485i	0.370222	+	0.464244i
$791$	−24.7446	−	31.0287i	−0.879816	−	1.10325i
$792$	1.34505	+	5.89305i	0.0477943	+	0.209401i
$793$	−0.629531	−	0.303166i	−0.0223553	−	0.0107657i
$794$	16.8034	−	8.09211i	0.596331	−	0.287178i
$795$	0.972853	+	4.26235i	0.0345035	+	0.151170i
$796$	−5.94212	−	26.0341i	−0.210613	−	0.922755i
$797$	9.10872	−	4.38653i	0.322647	−	0.155379i	−0.265548	−	0.964098i	$-0.585553\pi$
$797$	9.10872	−	4.38653i	0.322647	−	0.155379i	0.588195	+	0.808719i	$0.299839\pi$
$798$	76.0982	+	36.6470i	2.69385	+	1.29729i
$799$	1.00000	+	4.38129i	0.0353775	+	0.154999i
$800$	−4.06249	−	5.09420i	−0.143631	−	0.180107i
$801$	−1.81381	−	2.27445i	−0.0640880	−	0.0803638i
$802$	−1.89493	−	0.912549i	−0.0669122	−	0.0322232i
$803$	4.17318	−	18.2839i	0.147268	−	0.645224i
$804$	−12.3735	+	15.5158i	−0.436378	+	0.547201i
$805$	−4.15452	+	18.2021i	−0.146428	+	0.641541i
$806$	2.23341	−	1.07555i	0.0786684	−	0.0378847i
$807$	14.6163	+	18.3282i	0.514516	+	0.645183i
$808$	−19.5782	+	9.42837i	−0.688759	+	0.331689i
$809$	−23.3210	+	29.2436i	−0.819923	+	1.02815i	0.179094	+	0.983832i	$0.442683\pi$
$809$	−23.3210	+	29.2436i	−0.819923	+	1.02815i	−0.999017	+	0.0443194i	$0.985888\pi$
$810$	−31.0750			−1.09186
$811$	−53.9245			−1.89355			−0.946773	−	0.321902i	$-0.895678\pi$
$811$	−53.9245			−1.89355			−0.946773	+	0.321902i	$0.895678\pi$
$812$	23.7277	−	29.7535i	0.832678	−	1.04414i
$813$	−32.4110	−	15.6083i	−1.13670	−	0.547407i
$814$	−10.7339	−	47.0285i	−0.376224	−	1.64835i
$815$	−10.4209	+	45.6569i	−0.365027	+	1.59929i
$816$	5.60388			0.196175
$817$	30.5344	+	21.4665i	1.06826	+	0.751017i
$818$	−7.69202			−0.268945
$819$	−0.169423	+	0.742292i	−0.00592013	+	0.0259378i
$820$	−5.46442	−	23.9412i	−0.190826	−	0.836062i
$821$	41.4146	+	19.9442i	1.44538	+	0.696058i	0.981786	−	0.189990i	$-0.0608455\pi$
$821$	41.4146	+	19.9442i	1.44538	+	0.696058i	0.463593	+	0.886048i	$0.346560\pi$
$822$	−19.4943	+	24.4450i	−0.679940	+	0.852618i
$823$	17.6420			0.614963			0.307481	−	0.951554i	$-0.400514\pi$
$823$	17.6420			0.614963			0.307481	+	0.951554i	$0.400514\pi$
$824$	2.74392			0.0955891
$825$	−4.27144	+	5.35621i	−0.148712	+	0.186479i
$826$	28.0209	−	13.4941i	0.974971	−	0.469521i
$827$	25.2611	+	31.6765i	0.878416	+	1.10150i	0.994127	+	0.108216i	$0.0345138\pi$
$827$	25.2611	+	31.6765i	0.878416	+	1.10150i	−0.115711	+	0.993283i	$0.536915\pi$
$828$	3.51477	−	1.69262i	0.122147	−	0.0588228i
$829$	10.3216	−	45.2217i	0.358482	−	1.57061i	−0.398494	−	0.917171i	$-0.630467\pi$
$829$	10.3216	−	45.2217i	0.358482	−	1.57061i	0.756976	−	0.653443i	$-0.226676\pi$
$830$	28.4795	−	35.7121i	0.988537	−	1.23959i
$831$	7.19083	−	31.5051i	0.249447	−	1.09290i
$832$	3.61745	+	1.74207i	0.125412	+	0.0603955i
$833$	30.9245	+	38.7781i	1.07147	+	1.34358i
$834$	18.3379	+	22.9951i	0.634991	+	0.796254i
$835$	4.41252	+	19.3325i	0.152701	+	0.669029i
$836$	68.8887	+	33.1751i	2.38257	+	1.14738i
$837$	−17.9765	+	8.65703i	−0.621359	+	0.299231i
$838$	1.57606	+	6.90519i	0.0544442	+	0.238536i
$839$	1.01411	+	4.44309i	0.0350108	+	0.153392i	0.989412	−	0.145135i	$-0.0463617\pi$
$839$	1.01411	+	4.44309i	0.0350108	+	0.153392i	−0.954401	+	0.298528i	$0.903505\pi$
$840$	−28.0465	+	13.5065i	−0.967697	+	0.466018i
$841$	18.3458	+	8.83486i	0.632613	+	0.304650i
$842$	16.2322	+	71.1180i	0.559399	+	2.45089i
$843$	−18.2619	−	22.8997i	−0.628973	−	0.788707i
$844$	16.3225	+	20.4678i	0.561844	+	0.704530i
$845$	−23.2543	−	11.1987i	−0.799971	−	0.385246i
$846$	0.291053	−	1.27518i	0.0100066	−	0.0438418i
$847$	−22.2724	+	27.9287i	−0.765289	+	0.959642i
$848$	−0.250864	+	1.09911i	−0.00861472	+	0.0377436i
$849$	−18.2736	+	8.80010i	−0.627148	+	0.302019i
$850$	6.29590	+	7.89481i	0.215947	+	0.270790i
$851$	−9.64968	+	4.64704i	−0.330787	+	0.159298i
$852$	26.0465	−	32.6613i	0.892339	−	1.11896i
$853$	−52.9197			−1.81194			−0.905969	−	0.423345i	$-0.860856\pi$
$853$	−52.9197			−1.81194			−0.905969	+	0.423345i	$0.860856\pi$
$854$	21.6504			0.740861
$855$	4.13169	−	5.18097i	0.141301	−	0.177185i
$856$	−33.2129	−	15.9945i	−1.13519	−	0.546680i
$857$	−3.84535	−	16.8476i	−0.131355	−	0.575502i	−0.997173	−	0.0751432i	$-0.976059\pi$
$857$	−3.84535	−	16.8476i	−0.131355	−	0.575502i	0.865818	−	0.500359i	$-0.166799\pi$
$858$	1.05496	−	4.62207i	0.0360157	−	0.157795i
$859$	−14.8616			−0.507072			−0.253536	−	0.967326i	$-0.581594\pi$
$859$	−14.8616			−0.507072			−0.253536	+	0.967326i	$0.581594\pi$
$860$	−38.3749	+	11.2365i	−1.30857	+	0.383160i
$861$	−26.5948			−0.906348
$862$	17.9574	−	78.6766i	0.611632	−	2.67974i
$863$	−7.38178	−	32.3417i	−0.251279	−	1.10092i	−0.930298	−	0.366804i	$-0.880452\pi$
$863$	−7.38178	−	32.3417i	−0.251279	−	1.10092i	0.679019	−	0.734120i	$-0.262405\pi$
$864$	−32.6987	−	15.7468i	−1.11243	−	0.535718i
$865$	1.91185	−	2.39739i	0.0650050	−	0.0815137i
$866$	−59.6902			−2.02836
$867$	−4.96913			−0.168761
$868$	−28.9197	+	36.2641i	−0.981598	+	1.23088i
$869$	14.7419	−	7.09932i	0.500085	−	0.240828i
$870$	12.8049	+	16.0569i	0.434128	+	0.544379i
$871$	−1.16152	+	0.559360i	−0.0393567	+	0.0189532i
$872$	4.69322	−	20.5623i	0.158932	−	0.696328i
$873$	−6.62250	+	8.30435i	−0.224138	+	0.281060i
$874$	6.25571	−	27.4081i	0.211603	−	0.927091i
$875$	45.9168	+	22.1123i	1.55227	+	0.747534i
$876$	−12.5824	−	15.7778i	−0.425120	−	0.533084i
$877$	13.7744	+	17.2726i	0.465129	+	0.583254i	0.957971	−	0.286865i	$-0.0926133\pi$
$877$	13.7744	+	17.2726i	0.465129	+	0.583254i	−0.492842	+	0.870119i	$0.664042\pi$
$878$	20.0003	+	87.6270i	0.674977	+	2.95727i
$879$	37.1673	+	17.8988i	1.25362	+	0.603713i
$880$	6.36658	−	3.06599i	0.214618	−	0.103354i
$881$	−8.01291	−	35.1069i	−0.269962	−	1.18278i	−0.910057	−	0.414484i	$-0.863962\pi$
$881$	−8.01291	−	35.1069i	−0.269962	−	1.18278i	0.640095	−	0.768296i	$-0.278895\pi$
$882$	−3.21230	−	14.0740i	−0.108164	−	0.473896i
$883$	−10.7235	+	5.16416i	−0.360874	+	0.173788i	−0.605531	−	0.795822i	$-0.707039\pi$
$883$	−10.7235	+	5.16416i	−0.360874	+	0.173788i	0.244657	+	0.969610i	$0.421325\pi$
$884$	−3.80194	−	1.83092i	−0.127873	−	0.0615804i
$885$	2.25534	+	9.88129i	0.0758124	+	0.332156i
$886$	−22.1362	−	27.7579i	−0.743679	−	0.932544i
$887$	−7.53833	−	9.45276i	−0.253112	−	0.317393i	0.639000	−	0.769207i	$-0.279348\pi$
$887$	−7.53833	−	9.45276i	−0.253112	−	0.317393i	−0.892112	+	0.451814i	$0.850777\pi$
$888$	−16.0891	−	7.74810i	−0.539915	−	0.260009i
$889$	−13.8361	+	60.6198i	−0.464047	+	2.03312i
$890$	14.0030	−	17.5592i	0.469381	−	0.588585i
$891$	−6.77921	+	29.7017i	−0.227112	+	0.995043i
$892$	20.8877	−	10.0590i	0.699372	−	0.336800i
$893$	−3.54892	−	4.45020i	−0.118760	−	0.148920i
$894$	19.6271	−	9.45193i	0.656430	−	0.316120i
$895$	21.4765	−	26.9307i	0.717880	−	0.900193i
$896$	−69.0646			−2.30729
$897$	−1.05264			−0.0351466
$898$	18.2412	−	22.8738i	0.608718	−	0.763308i
$899$	9.48523	+	4.56785i	0.316350	+	0.152346i
$900$	−0.394928	−	1.73029i	−0.0131643	−	0.0576764i
$901$	1.40581	−	6.15927i	0.0468344	−	0.205195i
$902$	−39.8678			−1.32745
$903$	2.61596	+	43.2254i	0.0870536	+	1.43845i
$904$	−22.0248			−0.732532
$905$	5.40044	−	23.6609i	0.179517	−	0.786514i
$906$	4.35690	+	19.0888i	0.144748	+	0.634183i
$907$	−11.4547	−	5.51631i	−0.380348	−	0.183166i	0.233934	−	0.972252i	$-0.424840\pi$
$907$	−11.4547	−	5.51631i	−0.380348	−	0.183166i	−0.614282	+	0.789086i	$0.710554\pi$
$908$	29.4904	−	36.9798i	0.978672	−	1.22722i
$909$	5.36691			0.178009
$910$	−5.87800			−0.194854
$911$	20.4556	−	25.6505i	0.677723	−	0.849838i	−0.317419	−	0.948285i	$-0.602816\pi$
$911$	20.4556	−	25.6505i	0.677723	−	0.849838i	0.995142	+	0.0984477i	$0.0313877\pi$
$912$	−6.39493	+	3.07964i	−0.211757	+	0.101977i
$913$	−27.9209	−	35.0117i	−0.924046	−	1.15872i
$914$	−49.9342	+	24.0471i	−1.65168	+	0.795406i
$915$	−1.57002	+	6.87872i	−0.0519034	+	0.227404i
$916$	−44.9300	+	56.3405i	−1.48453	+	1.86154i
$917$	−9.91723	+	43.4502i	−0.327496	+	1.43485i
$918$	50.6752	+	24.4039i	1.67253	+	0.805448i
$919$	5.43714	+	6.81796i	0.179355	+	0.224904i	0.863380	−	0.504555i	$-0.168343\pi$
$919$	5.43714	+	6.81796i	0.179355	+	0.224904i	−0.684025	+	0.729459i	$0.739772\pi$
$920$	6.46011	+	8.10072i	0.212983	+	0.267073i
$921$	−2.45071	−	10.7373i	−0.0807538	−	0.353805i
$922$	20.5809	+	9.91124i	0.677796	+	0.326409i
$923$	2.44504	−	1.17747i	0.0804795	−	0.0387569i
$924$	19.7397	+	86.4855i	0.649390	+	2.84516i
$925$	1.08426	+	4.75046i	0.0356503	+	0.156194i
$926$	29.4964	−	14.2047i	0.969312	−	0.466796i
$927$	−0.610580	−	0.294040i	−0.0200541	−	0.00965754i
$928$	4.26122	+	18.6696i	0.139881	+	0.612860i
$929$	−2.58844	−	3.24580i	−0.0849240	−	0.106491i	0.737554	−	0.675288i	$-0.235981\pi$
$929$	−2.58844	−	3.24580i	−0.0849240	−	0.106491i	−0.822478	+	0.568797i	$0.807409\pi$
$930$	−15.6069	−	19.5704i	−0.511769	−	0.641738i
$931$	−56.6006	−	27.2574i	−1.85501	−	0.893325i
$932$	14.6969	−	64.3912i	0.481412	−	2.10920i
$933$	18.3403	−	22.9980i	0.600433	−	0.752920i
$934$	4.78352	−	20.9580i	0.156522	−	0.685766i
$935$	−35.6775	+	17.1814i	−1.16678	+	0.561892i
$936$	0.263446	+	0.330351i	0.00861100	+	0.0107979i
$937$	−3.40581	+	1.64015i	−0.111263	+	0.0535815i	−0.488687	−	0.872459i	$-0.662524\pi$
$937$	−3.40581	+	1.64015i	−0.111263	+	0.0535815i	0.377424	+	0.926040i	$0.376810\pi$
$938$	24.9061	−	31.2313i	0.813213	−	1.01974i
$939$	28.9350			0.944256
$940$	6.09783			0.198889
$941$	36.2766	−	45.4894i	1.18258	−	1.48291i	0.343292	−	0.939229i	$-0.388458\pi$
$941$	36.2766	−	45.4894i	1.18258	−	1.48291i	0.839291	−	0.543683i	$-0.182971\pi$
$942$	−33.3635	−	16.0670i	−1.08704	−	0.523492i
$943$	1.96974	+	8.62998i	0.0641435	+	0.281031i
$944$	−0.581573	+	2.54804i	−0.0189286	+	0.0829315i
$945$	47.3116			1.53904
$946$	3.92154	+	64.7986i	0.127500	+	2.10678i
$947$	−16.1105			−0.523521			−0.261761	−	0.965133i	$-0.584303\pi$
$947$	−16.1105			−0.523521			−0.261761	+	0.965133i	$0.584303\pi$
$948$	3.91789	−	17.1654i	0.127247	−	0.557507i
$949$	−0.291717	−	1.27809i	−0.00946952	−	0.0414887i
$950$	−11.5233	−	5.54931i	−0.373864	−	0.180043i
$951$	13.8745	−	17.3981i	0.449911	−	0.564171i
$952$	44.9831			1.45791
$953$	15.3381			0.496850			0.248425	−	0.968651i	$-0.420087\pi$
$953$	15.3381			0.496850			0.248425	+	0.968651i	$0.420087\pi$
$954$	−1.14646	+	1.43761i	−0.0371179	+	0.0465444i
$955$	−28.8702	+	13.9032i	−0.934219	+	0.449896i
$956$	−32.6987	−	41.0028i	−1.05755	−	1.32613i
$957$	18.1407	−	8.73611i	0.586406	−	0.282398i
$958$	−12.3925	+	54.2952i	−0.400385	+	1.75420i
$959$	23.6957	−	29.7134i	0.765173	−	0.959497i
$960$	9.02177	−	39.5270i	0.291176	−	1.27573i
$961$	16.3693	+	7.88303i	0.528041	+	0.254291i
$962$	−2.10238	−	2.63631i	−0.0677836	−	0.0849979i
$963$	5.67659	+	7.11822i	0.182925	+	0.229381i
$964$	−17.1574	−	75.1715i	−0.552603	−	2.42111i
$965$	42.8635	+	20.6420i	1.37983	+	0.664489i
$966$	29.3865	−	14.1518i	0.945495	−	0.455326i
$967$	11.7067	+	51.2902i	0.376461	+	1.64938i	0.708200	+	0.706012i	$0.249507\pi$
$967$	11.7067	+	51.2902i	0.376461	+	1.64938i	−0.331740	+	0.943371i	$0.607636\pi$
$968$	4.41132	+	19.3273i	0.141785	+	0.621202i
$969$	35.8364	−	17.2579i	1.15123	−	0.554403i
$970$	−73.8805	−	35.5790i	−2.37216	−	1.14237i
$971$	−2.03093	−	8.89807i	−0.0651755	−	0.285553i	0.931829	−	0.362898i	$-0.118213\pi$
$971$	−2.03093	−	8.89807i	−0.0651755	−	0.285553i	−0.997004	+	0.0773455i	$0.975356\pi$
$972$	−11.3256	−	14.2018i	−0.363268	−	0.455523i
$973$	−22.2902	−	27.9510i	−0.714589	−	0.896067i
$974$	52.4478	+	25.2575i	1.68054	+	0.809303i
$975$	−0.106564	+	0.466887i	−0.00341278	+	0.0149523i
$976$	−1.13437	+	1.42246i	−0.0363105	+	0.0455319i
$977$	9.04689	−	39.6370i	0.289436	−	1.26810i	−0.595866	−	0.803084i	$-0.703191\pi$
$977$	9.04689	−	39.6370i	0.289436	−	1.26810i	0.885302	−	0.465017i	$-0.153952\pi$
$978$	73.7108	−	35.4972i	2.35701	−	1.13508i
$979$	−13.7283	−	17.2148i	−0.438759	−	0.550187i
$980$	60.6359	−	29.2007i	1.93694	−	0.932783i
$981$	−3.24781	+	4.07262i	−0.103695	+	0.130029i
$982$	−55.5109			−1.77143
$983$	−46.1135			−1.47079			−0.735396	−	0.677638i	$-0.763004\pi$
$983$	−46.1135			−1.47079			−0.735396	+	0.677638i	$0.763004\pi$
$984$	−9.20208	+	11.5390i	−0.293352	+	0.367851i
$985$	28.5700	+	13.7586i	0.910317	+	0.438385i
$986$	−6.60388	−	28.9335i	−0.210310	−	0.921429i
$987$	1.46950	−	6.43830i	0.0467747	−	0.204933i
$988$	5.34481			0.170041
$989$	13.8329	−	4.05036i	0.439859	−	0.128794i
$990$	11.5254			0.366302
$991$	−8.03827	+	35.2180i	−0.255344	+	1.11874i	0.670822	+	0.741619i	$0.265942\pi$
$991$	−8.03827	+	35.2180i	−0.255344	+	1.11874i	−0.926166	+	0.377117i	$0.876916\pi$
$992$	−5.19364	−	22.7548i	−0.164898	−	0.722467i
$993$	27.2724	+	13.1337i	0.865463	+	0.416785i
$994$	−52.4282	+	65.7429i	−1.66292	+	2.08524i
$995$	−17.5168			−0.555320
$996$	−48.1879			−1.52689
$997$	−12.4936	+	15.6665i	−0.395676	+	0.496162i	−0.939267	−	0.343189i	$-0.888493\pi$
$997$	−12.4936	+	15.6665i	−0.395676	+	0.496162i	0.543591	+	0.839351i	$0.317064\pi$
$998$	−56.8488	+	27.3769i	−1.79952	+	0.866601i
$999$	16.9219	+	21.2194i	0.535386	+	0.671352i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	43.2.e.b.35.1	yes	6
3.2	odd	2		387.2.u.a.379.1		6
4.3	odd	2		688.2.u.c.465.1		6
43.4	even	7		1849.2.a.i.1.1		3
43.16	even	7	inner	43.2.e.b.16.1	✓	6
43.39	odd	14		1849.2.a.l.1.3		3
129.59	odd	14		387.2.u.a.145.1		6
172.59	odd	14		688.2.u.c.145.1		6

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
43.2.e.b.16.1	✓	6	43.16	even	7	inner
43.2.e.b.35.1	yes	6	1.1	even	1	trivial
387.2.u.a.145.1		6	129.59	odd	14
387.2.u.a.379.1		6	3.2	odd	2
688.2.u.c.145.1		6	172.59	odd	14
688.2.u.c.465.1		6	4.3	odd	2
1849.2.a.i.1.1		3	43.4	even	7
1849.2.a.l.1.3		3	43.39	odd	14

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:	\( N \)	\(=\)	\( 43 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	43.e (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.500000 - 2.19064i) q^{2} +(0.346011 + 1.51597i) q^{3} +(-2.74698 - 1.32288i) q^{4} +(-1.24698 + 1.56366i) q^{5} +3.49396 q^{6} -4.24698 q^{7} +(-1.46950 + 1.84270i) q^{8} +(0.524459 - 0.252566i) q^{9} +O(q^{10})\)	\(q+(0.500000 - 2.19064i) q^{2} +(0.346011 + 1.51597i) q^{3} +(-2.74698 - 1.32288i) q^{4} +(-1.24698 + 1.56366i) q^{5} +3.49396 q^{6} -4.24698 q^{7} +(-1.46950 + 1.84270i) q^{8} +(0.524459 - 0.252566i) q^{9} +(2.80194 + 3.51352i) q^{10} +(3.96950 - 1.91161i) q^{11} +(1.05496 - 4.62207i) q^{12} +(0.192021 - 0.240787i) q^{13} +(-2.12349 + 9.30362i) q^{14} +(-2.80194 - 1.34934i) q^{15} +(-0.500000 - 0.626980i) q^{16} +(2.80194 + 3.51352i) q^{17} +(-0.291053 - 1.27518i) q^{18} +(-5.12833 - 2.46968i) q^{19} +(5.49396 - 2.64575i) q^{20} +(-1.46950 - 6.43830i) q^{21} +(-2.20291 - 9.65156i) q^{22} +(-1.98039 + 0.953703i) q^{23} +(-3.30194 - 1.59013i) q^{24} +(0.222521 + 0.974928i) q^{25} +(-0.431468 - 0.541044i) q^{26} +(3.47285 + 4.35482i) q^{27} +(11.6664 + 5.61823i) q^{28} +(0.653989 - 2.86531i) q^{29} +(-4.35690 + 5.46337i) q^{30} +(-0.797093 + 3.49229i) q^{31} +(-5.87047 + 2.82707i) q^{32} +(4.27144 + 5.35621i) q^{33} +(9.09783 - 4.38129i) q^{34} +(5.29590 - 6.64084i) q^{35} -1.77479 q^{36} +4.87263 q^{37} +(-7.97434 + 9.99951i) q^{38} +(0.431468 + 0.207784i) q^{39} +(-1.04892 - 4.59561i) q^{40} +(0.896125 - 3.92618i) q^{41} -14.8388 q^{42} +(-6.46950 - 1.07031i) q^{43} -13.4330 q^{44} +(-0.259061 + 1.13502i) q^{45} +(1.09903 + 4.81517i) q^{46} +(0.900969 + 0.433884i) q^{47} +(0.777479 - 0.974928i) q^{48} +11.0368 q^{49} +2.24698 q^{50} +(-4.35690 + 5.46337i) q^{51} +(-0.846011 + 0.407417i) q^{52} +(-0.876510 - 1.09911i) q^{53} +(11.2763 - 5.43037i) q^{54} +(-1.96077 + 8.59070i) q^{55} +(6.24094 - 7.82589i) q^{56} +(1.96950 - 8.62895i) q^{57} +(-5.94989 - 2.86531i) q^{58} +(-2.03199 - 2.54804i) q^{59} +(5.91185 + 7.41323i) q^{60} +(-0.504844 - 2.21187i) q^{61} +(7.25182 + 3.49229i) q^{62} +(-2.22737 + 1.07264i) q^{63} +(2.90097 + 12.7100i) q^{64} +(0.137063 + 0.600514i) q^{65} +(13.8693 - 6.67909i) q^{66} +(-3.77144 - 1.81623i) q^{67} +(-3.04892 - 13.3582i) q^{68} +(-2.13102 - 2.67222i) q^{69} +(-11.8998 - 14.9218i) q^{70} +(7.93900 + 3.82322i) q^{71} +(-0.305290 + 1.33756i) q^{72} +(2.65399 - 3.32800i) q^{73} +(2.43631 - 10.6742i) q^{74} +(-1.40097 + 0.674671i) q^{75} +(10.8204 + 13.5683i) q^{76} +(-16.8584 + 8.11857i) q^{77} +(0.670915 - 0.841301i) q^{78} +3.71379 q^{79} +1.60388 q^{80} +(-4.31133 + 5.40624i) q^{81} +(-8.15279 - 3.92618i) q^{82} +(-2.26175 - 9.90937i) q^{83} +(-4.48039 + 19.6299i) q^{84} -8.98792 q^{85} +(-5.57942 + 13.6372i) q^{86} +4.57002 q^{87} +(-2.31067 + 10.1237i) q^{88} +(-1.11207 - 4.87231i) q^{89} +(2.35690 + 1.13502i) q^{90} +(-0.815511 + 1.02262i) q^{91} +6.70171 q^{92} -5.57002 q^{93} +(1.40097 - 1.75676i) q^{94} +(10.2567 - 4.93935i) q^{95} +(-6.31700 - 7.92127i) q^{96} +(-16.4400 + 7.91707i) q^{97} +(5.51842 - 24.1778i) q^{98} +(1.59903 - 2.00512i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 6 q + 3 q^{2} - 3 q^{3} - 7 q^{4} + 2 q^{5} + 2 q^{6} - 16 q^{7} + q^{8} - 6 q^{9}+O(q^{10}) \) 6 * q + 3 * q^2 - 3 * q^3 - 7 * q^4 + 2 * q^5 + 2 * q^6 - 16 * q^7 + q^8 - 6 * q^9	\( 6 q + 3 q^{2} - 3 q^{3} - 7 q^{4} + 2 q^{5} + 2 q^{6} - 16 q^{7} + q^{8} - 6 q^{9} + 8 q^{10} + 14 q^{11} + 7 q^{12} - 9 q^{13} - 8 q^{14} - 8 q^{15} - 3 q^{16} + 8 q^{17} + 4 q^{18} - 4 q^{19} + 14 q^{20} + q^{21} + q^{23} - 11 q^{24} + q^{25} - 8 q^{26} + 33 q^{27} + 28 q^{28} + 9 q^{29} - 18 q^{30} - 18 q^{31} - 21 q^{32} + 7 q^{33} + 18 q^{34} + 4 q^{35} - 14 q^{36} - 4 q^{37} - 16 q^{38} + 8 q^{39} + 12 q^{40} + 23 q^{41} - 24 q^{42} - 29 q^{43} - 42 q^{44} - 30 q^{45} + 11 q^{46} + q^{47} + 5 q^{48} + 10 q^{49} + 4 q^{50} - 18 q^{51} - 10 q^{53} + 27 q^{54} + 14 q^{55} + 9 q^{56} + 2 q^{57} - 13 q^{58} + 22 q^{59} + 28 q^{60} + 19 q^{61} + 12 q^{62} + 9 q^{63} + 13 q^{64} - 10 q^{65} + 28 q^{66} - 4 q^{67} + 17 q^{69} - 26 q^{70} + 28 q^{71} - 15 q^{72} + 21 q^{73} - 2 q^{74} - 4 q^{75} + 28 q^{76} - 49 q^{77} + 25 q^{78} + 6 q^{79} - 8 q^{80} - 58 q^{81} - 13 q^{82} - 39 q^{83} - 14 q^{84} - 16 q^{85} - 25 q^{86} - 22 q^{87} - 21 q^{88} + 11 q^{89} + 6 q^{90} + 10 q^{91} - 14 q^{92} + 16 q^{93} + 4 q^{94} + 8 q^{95} + 21 q^{96} - 19 q^{97} + 5 q^{98} + 14 q^{99}+O(q^{100}) \) 6 * q + 3 * q^2 - 3 * q^3 - 7 * q^4 + 2 * q^5 + 2 * q^6 - 16 * q^7 + q^8 - 6 * q^9 + 8 * q^10 + 14 * q^11 + 7 * q^12 - 9 * q^13 - 8 * q^14 - 8 * q^15 - 3 * q^16 + 8 * q^17 + 4 * q^18 - 4 * q^19 + 14 * q^20 + q^21 + q^23 - 11 * q^24 + q^25 - 8 * q^26 + 33 * q^27 + 28 * q^28 + 9 * q^29 - 18 * q^30 - 18 * q^31 - 21 * q^32 + 7 * q^33 + 18 * q^34 + 4 * q^35 - 14 * q^36 - 4 * q^37 - 16 * q^38 + 8 * q^39 + 12 * q^40 + 23 * q^41 - 24 * q^42 - 29 * q^43 - 42 * q^44 - 30 * q^45 + 11 * q^46 + q^47 + 5 * q^48 + 10 * q^49 + 4 * q^50 - 18 * q^51 - 10 * q^53 + 27 * q^54 + 14 * q^55 + 9 * q^56 + 2 * q^57 - 13 * q^58 + 22 * q^59 + 28 * q^60 + 19 * q^61 + 12 * q^62 + 9 * q^63 + 13 * q^64 - 10 * q^65 + 28 * q^66 - 4 * q^67 + 17 * q^69 - 26 * q^70 + 28 * q^71 - 15 * q^72 + 21 * q^73 - 2 * q^74 - 4 * q^75 + 28 * q^76 - 49 * q^77 + 25 * q^78 + 6 * q^79 - 8 * q^80 - 58 * q^81 - 13 * q^82 - 39 * q^83 - 14 * q^84 - 16 * q^85 - 25 * q^86 - 22 * q^87 - 21 * q^88 + 11 * q^89 + 6 * q^90 + 10 * q^91 - 14 * q^92 + 16 * q^93 + 4 * q^94 + 8 * q^95 + 21 * q^96 - 19 * q^97 + 5 * q^98 + 14 * q^99

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