LMFDB - Embedded newform 430.2.k.d.121.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [430,2,Mod(11,430)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(430, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([0, 10]))

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

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

chi := DirichletCharacter("430.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 430 = 2 \cdot 5 \cdot 43 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	430.k (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:	$3.43356728692$
Analytic rank:	$0$
Dimension:	$24$
Relative dimension:	$4$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			121.3
Character	$\chi$	$=$	430.121
Dual form			430.2.k.d.231.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.222521 - 0.974928i) q^{2} +(0.187922 + 0.823340i) q^{3} +(-0.900969 - 0.433884i) q^{4} +(-0.623490 + 0.781831i) q^{5} +0.844514 q^{6} +0.703699 q^{7} +(-0.623490 + 0.781831i) q^{8} +(2.06033 - 0.992204i) q^{9} +O(q^{10})$	\(q+(0.222521 - 0.974928i) q^{2} +(0.187922 + 0.823340i) q^{3} +(-0.900969 - 0.433884i) q^{4} +(-0.623490 + 0.781831i) q^{5} +0.844514 q^{6} +0.703699 q^{7} +(-0.623490 + 0.781831i) q^{8} +(2.06033 - 0.992204i) q^{9} +(0.623490 + 0.781831i) q^{10} +(-1.48834 + 0.716746i) q^{11} +(0.187922 - 0.823340i) q^{12} +(3.92365 - 4.92011i) q^{13} +(0.156588 - 0.686056i) q^{14} +(-0.760881 - 0.366421i) q^{15} +(0.623490 + 0.781831i) q^{16} +(4.70455 + 5.89932i) q^{17} +(-0.508860 - 2.22946i) q^{18} +(6.26493 + 3.01703i) q^{19} +(0.900969 - 0.433884i) q^{20} +(0.132241 + 0.579384i) q^{21} +(0.367589 + 1.61051i) q^{22} +(-2.46750 + 1.18828i) q^{23} +(-0.760881 - 0.366421i) q^{24} +(-0.222521 - 0.974928i) q^{25} +(-3.92365 - 4.92011i) q^{26} +(2.78374 + 3.49070i) q^{27} +(-0.634011 - 0.305324i) q^{28} +(1.34026 - 5.87206i) q^{29} +(-0.526546 + 0.660268i) q^{30} +(0.654605 - 2.86801i) q^{31} +(0.900969 - 0.433884i) q^{32} +(-0.869817 - 1.09072i) q^{33} +(6.79827 - 3.27387i) q^{34} +(-0.438749 + 0.550174i) q^{35} -2.28680 q^{36} -5.65810 q^{37} +(4.33547 - 5.43650i) q^{38} +(4.78826 + 2.30591i) q^{39} +(-0.222521 - 0.974928i) q^{40} +(-0.950229 + 4.16323i) q^{41} +0.594284 q^{42} +(-6.16285 - 2.24038i) q^{43} +1.65193 q^{44} +(-0.508860 + 2.22946i) q^{45} +(0.609422 + 2.67005i) q^{46} +(-2.54111 - 1.22373i) q^{47} +(-0.526546 + 0.660268i) q^{48} -6.50481 q^{49} -1.00000 q^{50} +(-3.97306 + 4.98206i) q^{51} +(-5.66984 + 2.73045i) q^{52} +(5.84709 + 7.33201i) q^{53} +(4.02262 - 1.93719i) q^{54} +(0.367589 - 1.61051i) q^{55} +(-0.438749 + 0.550174i) q^{56} +(-1.30673 + 5.72514i) q^{57} +(-5.42660 - 2.61331i) q^{58} +(-6.87523 - 8.62126i) q^{59} +(0.526546 + 0.660268i) q^{60} +(-1.85685 - 8.13541i) q^{61} +(-2.65044 - 1.27638i) q^{62} +(1.44985 - 0.698213i) q^{63} +(-0.222521 - 0.974928i) q^{64} +(1.40034 + 6.13527i) q^{65} +(-1.25692 + 0.605302i) q^{66} +(5.87598 + 2.82972i) q^{67} +(-1.67903 - 7.35633i) q^{68} +(-1.44206 - 1.80829i) q^{69} +(0.438749 + 0.550174i) q^{70} +(-2.14016 - 1.03065i) q^{71} +(-0.508860 + 2.22946i) q^{72} +(3.99422 - 5.00860i) q^{73} +(-1.25905 + 5.51624i) q^{74} +(0.760881 - 0.366421i) q^{75} +(-4.33547 - 5.43650i) q^{76} +(-1.04734 + 0.504373i) q^{77} +(3.31358 - 4.15510i) q^{78} -13.5496 q^{79} -1.00000 q^{80} +(1.92647 - 2.41572i) q^{81} +(3.84740 + 1.85281i) q^{82} +(3.87664 + 16.9847i) q^{83} +(0.132241 - 0.579384i) q^{84} -7.54551 q^{85} +(-3.55557 + 5.50980i) q^{86} +5.08657 q^{87} +(0.367589 - 1.61051i) q^{88} +(-1.37335 - 6.01702i) q^{89} +(2.06033 + 0.992204i) q^{90} +(2.76107 - 3.46227i) q^{91} +2.73872 q^{92} +2.48436 q^{93} +(-1.75850 + 2.20509i) q^{94} +(-6.26493 + 3.01703i) q^{95} +(0.526546 + 0.660268i) q^{96} +(-13.5857 + 6.54254i) q^{97} +(-1.44746 + 6.34172i) q^{98} +(-2.35531 + 2.95347i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q + 4 q^{2} + 2 q^{3} - 4 q^{4} + 4 q^{5} + 12 q^{6} - 2 q^{7} + 4 q^{8} - 4 q^{9}+O(q^{10}) $ 24 * q + 4 * q^2 + 2 * q^3 - 4 * q^4 + 4 * q^5 + 12 * q^6 - 2 * q^7 + 4 * q^8 - 4 * q^9	\( 24 q + 4 q^{2} + 2 q^{3} - 4 q^{4} + 4 q^{5} + 12 q^{6} - 2 q^{7} + 4 q^{8} - 4 q^{9} - 4 q^{10} - 9 q^{11} + 2 q^{12} - 2 q^{13} - 5 q^{14} - 2 q^{15} - 4 q^{16} + 13 q^{17} - 10 q^{18} - 3 q^{19} + 4 q^{20} - 14 q^{21} - 5 q^{22} + 11 q^{23} - 2 q^{24} - 4 q^{25} + 2 q^{26} - 13 q^{27} + 5 q^{28} + 20 q^{29} + 2 q^{30} - 5 q^{31} + 4 q^{32} + 15 q^{33} + q^{34} + 9 q^{35} + 24 q^{36} - 38 q^{37} - 18 q^{38} + 5 q^{39} - 4 q^{40} - 2 q^{41} - 14 q^{42} - 2 q^{43} - 2 q^{44} - 10 q^{45} - 4 q^{46} + 10 q^{47} + 2 q^{48} + 50 q^{49} - 24 q^{50} - 42 q^{51} - 2 q^{52} + 22 q^{53} - 29 q^{54} - 5 q^{55} + 9 q^{56} - 67 q^{57} + 22 q^{58} - 44 q^{59} - 2 q^{60} - 26 q^{61} - 2 q^{62} + 37 q^{63} - 4 q^{64} + 2 q^{65} - 8 q^{66} + 37 q^{67} - 15 q^{68} + 88 q^{69} - 9 q^{70} + 19 q^{71} - 10 q^{72} + 22 q^{73} - 4 q^{74} + 2 q^{75} + 18 q^{76} + 28 q^{77} + 23 q^{78} + 30 q^{79} - 24 q^{80} - 26 q^{81} + 37 q^{82} - 11 q^{83} - 14 q^{84} - 6 q^{85} + 16 q^{86} - 26 q^{87} - 5 q^{88} + 30 q^{89} - 4 q^{90} + 36 q^{91} - 10 q^{92} - 98 q^{93} + 4 q^{94} + 3 q^{95} - 2 q^{96} - 39 q^{97} + 41 q^{98} - 31 q^{99}+O(q^{100}) \) 24 * q + 4 * q^2 + 2 * q^3 - 4 * q^4 + 4 * q^5 + 12 * q^6 - 2 * q^7 + 4 * q^8 - 4 * q^9 - 4 * q^10 - 9 * q^11 + 2 * q^12 - 2 * q^13 - 5 * q^14 - 2 * q^15 - 4 * q^16 + 13 * q^17 - 10 * q^18 - 3 * q^19 + 4 * q^20 - 14 * q^21 - 5 * q^22 + 11 * q^23 - 2 * q^24 - 4 * q^25 + 2 * q^26 - 13 * q^27 + 5 * q^28 + 20 * q^29 + 2 * q^30 - 5 * q^31 + 4 * q^32 + 15 * q^33 + q^34 + 9 * q^35 + 24 * q^36 - 38 * q^37 - 18 * q^38 + 5 * q^39 - 4 * q^40 - 2 * q^41 - 14 * q^42 - 2 * q^43 - 2 * q^44 - 10 * q^45 - 4 * q^46 + 10 * q^47 + 2 * q^48 + 50 * q^49 - 24 * q^50 - 42 * q^51 - 2 * q^52 + 22 * q^53 - 29 * q^54 - 5 * q^55 + 9 * q^56 - 67 * q^57 + 22 * q^58 - 44 * q^59 - 2 * q^60 - 26 * q^61 - 2 * q^62 + 37 * q^63 - 4 * q^64 + 2 * q^65 - 8 * q^66 + 37 * q^67 - 15 * q^68 + 88 * q^69 - 9 * q^70 + 19 * q^71 - 10 * q^72 + 22 * q^73 - 4 * q^74 + 2 * q^75 + 18 * q^76 + 28 * q^77 + 23 * q^78 + 30 * q^79 - 24 * q^80 - 26 * q^81 + 37 * q^82 - 11 * q^83 - 14 * q^84 - 6 * q^85 + 16 * q^86 - 26 * q^87 - 5 * q^88 + 30 * q^89 - 4 * q^90 + 36 * q^91 - 10 * q^92 - 98 * q^93 + 4 * q^94 + 3 * q^95 - 2 * q^96 - 39 * q^97 + 41 * q^98 - 31 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/430\mathbb{Z}\right)^\times$.

$n$	$87$	$261$
$\chi(n)$	$1$	$e\left(\frac{3}{7}\right)$

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 $

$2$	0.222521	−	0.974928i	0.157346	−	0.689378i
$2$	0.222521	−	0.974928i	0.157346	−	0.689378i
$3$	0.187922	+	0.823340i	0.108497	+	0.475356i	0.999761	+	0.0218708i	$0.00696226\pi$
$3$	0.187922	+	0.823340i	0.108497	+	0.475356i	−0.891264	+	0.453485i	$0.850181\pi$
$4$	−0.900969	−	0.433884i	−0.450484	−	0.216942i
$5$	−0.623490	+	0.781831i	−0.278833	+	0.349646i
$5$	−0.623490	+	0.781831i	−0.278833	+	0.349646i
$6$	0.844514			0.344771
$7$	0.703699			0.265973			0.132987	−	0.991118i	$-0.457543\pi$
$7$	0.703699			0.265973			0.132987	+	0.991118i	$0.457543\pi$
$8$	−0.623490	+	0.781831i	−0.220437	+	0.276419i
$9$	2.06033	−	0.992204i	0.686777	−	0.330735i
$10$	0.623490	+	0.781831i	0.197165	+	0.247237i
$11$	−1.48834	+	0.716746i	−0.448751	+	0.216107i	−0.644589	−	0.764529i	$-0.722972\pi$
$11$	−1.48834	+	0.716746i	−0.448751	+	0.216107i	0.195838	+	0.980636i	$0.437257\pi$
$12$	0.187922	−	0.823340i	0.0542484	−	0.237678i
$13$	3.92365	−	4.92011i	1.08823	−	1.36459i	0.162363	−	0.986731i	$-0.448088\pi$
$13$	3.92365	−	4.92011i	1.08823	−	1.36459i	0.925862	−	0.377861i	$-0.123340\pi$
$14$	0.156588	−	0.686056i	0.0418499	−	0.183356i
$15$	−0.760881	−	0.366421i	−0.196459	−	0.0946095i
$16$	0.623490	+	0.781831i	0.155872	+	0.195458i
$17$	4.70455	+	5.89932i	1.14102	+	1.43079i	0.885894	+	0.463887i	$0.153546\pi$
$17$	4.70455	+	5.89932i	1.14102	+	1.43079i	0.255126	+	0.966908i	$0.417883\pi$
$18$	−0.508860	−	2.22946i	−0.119939	−	0.525489i
$19$	6.26493	+	3.01703i	1.43727	+	0.692155i	0.980335	−	0.197343i	$-0.0632313\pi$
$19$	6.26493	+	3.01703i	1.43727	+	0.692155i	0.456940	+	0.889498i	$0.348946\pi$
$20$	0.900969	−	0.433884i	0.201463	−	0.0970194i
$21$	0.132241	+	0.579384i	0.0288573	+	0.126432i
$22$	0.367589	+	1.61051i	0.0783703	+	0.343363i
$23$	−2.46750	+	1.18828i	−0.514509	+	0.247774i	−0.673075	−	0.739574i	$-0.735027\pi$
$23$	−2.46750	+	1.18828i	−0.514509	+	0.247774i	0.158566	+	0.987348i	$0.449313\pi$
$24$	−0.760881	−	0.366421i	−0.155314	−	0.0747954i
$25$	−0.222521	−	0.974928i	−0.0445042	−	0.194986i
$26$	−3.92365	−	4.92011i	−0.769492	−	0.964912i
$27$	2.78374	+	3.49070i	0.535731	+	0.671786i
$28$	−0.634011	−	0.305324i	−0.119817	−	0.0577007i
$29$	1.34026	−	5.87206i	0.248880	−	1.09041i	−0.683789	−	0.729680i	$-0.739669\pi$
$29$	1.34026	−	5.87206i	0.248880	−	1.09041i	0.932669	−	0.360734i	$-0.117474\pi$
$30$	−0.526546	+	0.660268i	−0.0961337	+	0.120548i
$31$	0.654605	−	2.86801i	0.117570	−	0.515110i	−0.881507	−	0.472171i	$-0.843471\pi$
$31$	0.654605	−	2.86801i	0.117570	−	0.515110i	0.999078	−	0.0429394i	$-0.0136722\pi$
$32$	0.900969	−	0.433884i	0.159270	−	0.0767005i
$33$	−0.869817	−	1.09072i	−0.151416	−	0.189869i
$34$	6.79827	−	3.27387i	1.16589	−	0.561465i
$35$	−0.438749	+	0.550174i	−0.0741622	+	0.0929964i
$36$	−2.28680			−0.381133
$37$	−5.65810			−0.930186			−0.465093	−	0.885262i	$-0.653979\pi$
$37$	−5.65810			−0.930186			−0.465093	+	0.885262i	$0.653979\pi$
$38$	4.33547	−	5.43650i	0.703306	−	0.881918i
$39$	4.78826	+	2.30591i	0.766736	+	0.369240i
$40$	−0.222521	−	0.974928i	−0.0351836	−	0.154150i
$41$	−0.950229	+	4.16323i	−0.148401	+	0.650187i	0.844929	+	0.534879i	$0.179643\pi$
$41$	−0.950229	+	4.16323i	−0.148401	+	0.650187i	−0.993330	+	0.115308i	$0.963214\pi$
$42$	0.594284			0.0917000
$43$	−6.16285	−	2.24038i	−0.939826	−	0.341654i
$43$	−6.16285	−	2.24038i	−0.939826	−	0.341654i
$44$	1.65193			0.249038
$45$	−0.508860	+	2.22946i	−0.0758564	+	0.332348i
$46$	0.609422	+	2.67005i	0.0898543	+	0.393678i
$47$	−2.54111	−	1.22373i	−0.370659	−	0.178500i	0.239276	−	0.970952i	$-0.423090\pi$
$47$	−2.54111	−	1.22373i	−0.370659	−	0.178500i	−0.609934	+	0.792452i	$0.708804\pi$
$48$	−0.526546	+	0.660268i	−0.0760004	+	0.0953014i
$49$	−6.50481			−0.929258
$50$	−1.00000			−0.141421
$51$	−3.97306	+	4.98206i	−0.556339	+	0.697627i
$52$	−5.66984	+	2.73045i	−0.786266	+	0.378646i
$53$	5.84709	+	7.33201i	0.803159	+	1.00713i	0.999646	+	0.0266231i	$0.00847541\pi$
$53$	5.84709	+	7.33201i	0.803159	+	1.00713i	−0.196486	+	0.980507i	$0.562953\pi$
$54$	4.02262	−	1.93719i	0.547410	−	0.263619i
$55$	0.367589	−	1.61051i	0.0495657	−	0.217162i
$56$	−0.438749	+	0.550174i	−0.0586303	+	0.0735201i
$57$	−1.30673	+	5.72514i	−0.173080	+	0.758313i
$58$	−5.42660	−	2.61331i	−0.712548	−	0.343145i
$59$	−6.87523	−	8.62126i	−0.895078	−	1.12239i	−0.991891	−	0.127090i	$-0.959436\pi$
$59$	−6.87523	−	8.62126i	−0.895078	−	1.12239i	0.0968131	−	0.995303i	$-0.469135\pi$
$60$	0.526546	+	0.660268i	0.0679768	+	0.0852402i
$61$	−1.85685	−	8.13541i	−0.237746	−	1.04163i	−0.943030	−	0.332708i	$-0.892038\pi$
$61$	−1.85685	−	8.13541i	−0.237746	−	1.04163i	0.705284	−	0.708925i	$-0.250819\pi$
$62$	−2.65044	−	1.27638i	−0.336606	−	0.162101i
$63$	1.44985	−	0.698213i	0.182664	−	0.0879666i
$64$	−0.222521	−	0.974928i	−0.0278151	−	0.121866i
$65$	1.40034	+	6.13527i	0.173690	+	0.760987i
$66$	−1.25692	+	0.605302i	−0.154716	+	0.0745075i
$67$	5.87598	+	2.82972i	0.717866	+	0.345706i	0.756899	−	0.653532i	$-0.226714\pi$
$67$	5.87598	+	2.82972i	0.717866	+	0.345706i	−0.0390333	+	0.999238i	$0.512428\pi$
$68$	−1.67903	−	7.35633i	−0.203613	−	0.892086i
$69$	−1.44206	−	1.80829i	−0.173604	−	0.217692i
$70$	0.438749	+	0.550174i	0.0524406	+	0.0657584i
$71$	−2.14016	−	1.03065i	−0.253991	−	0.122315i	0.302557	−	0.953131i	$-0.402160\pi$
$71$	−2.14016	−	1.03065i	−0.253991	−	0.122315i	−0.556547	+	0.830816i	$0.687874\pi$
$72$	−0.508860	+	2.22946i	−0.0599697	+	0.262745i
$73$	3.99422	−	5.00860i	0.467488	−	0.586212i	−0.491066	−	0.871123i	$-0.663392\pi$
$73$	3.99422	−	5.00860i	0.467488	−	0.586212i	0.958554	+	0.284911i	$0.0919639\pi$
$74$	−1.25905	+	5.51624i	−0.146361	+	0.641250i
$75$	0.760881	−	0.366421i	0.0878590	−	0.0423106i
$76$	−4.33547	−	5.43650i	−0.497312	−	0.623610i
$77$	−1.04734	+	0.504373i	−0.119356	+	0.0574787i
$78$	3.31358	−	4.15510i	0.375189	−	0.470472i
$79$	−13.5496			−1.52445			−0.762227	−	0.647309i	$-0.775894\pi$
$79$	−13.5496			−1.52445			−0.762227	+	0.647309i	$0.775894\pi$
$80$	−1.00000			−0.111803
$81$	1.92647	−	2.41572i	0.214053	−	0.268414i
$82$	3.84740	+	1.85281i	0.424874	+	0.204609i
$83$	3.87664	+	16.9847i	0.425517	+	1.86431i	0.498366	+	0.866967i	$0.333934\pi$
$83$	3.87664	+	16.9847i	0.425517	+	1.86431i	−0.0728490	+	0.997343i	$0.523209\pi$
$84$	0.132241	−	0.579384i	0.0144286	−	0.0632160i
$85$	−7.54551			−0.818426
$86$	−3.55557	+	5.50980i	−0.383407	+	0.594137i
$87$	5.08657			0.545338
$88$	0.367589	−	1.61051i	0.0391851	−	0.171681i
$89$	−1.37335	−	6.01702i	−0.145574	−	0.637803i	−0.994083	−	0.108622i	$-0.965356\pi$
$89$	−1.37335	−	6.01702i	−0.145574	−	0.637803i	0.848509	−	0.529181i	$-0.177501\pi$
$90$	2.06033	+	0.992204i	0.217178	+	0.104587i
$91$	2.76107	−	3.46227i	0.289439	−	0.362945i
$92$	2.73872			0.285531
$93$	2.48436			0.257617
$94$	−1.75850	+	2.20509i	−0.181376	+	0.227438i
$95$	−6.26493	+	3.01703i	−0.642769	+	0.309541i
$96$	0.526546	+	0.660268i	0.0537404	+	0.0673883i
$97$	−13.5857	+	6.54254i	−1.37942	+	0.664295i	−0.968876	−	0.247545i	$-0.920376\pi$
$97$	−13.5857	+	6.54254i	−1.37942	+	0.664295i	−0.410546	+	0.911840i	$0.634662\pi$
$98$	−1.44746	+	6.34172i	−0.146215	+	0.640610i
$99$	−2.35531	+	2.95347i	−0.236718	+	0.296835i
$100$	−0.222521	+	0.974928i	−0.0222521	+	0.0974928i
$101$	5.87583	+	2.82965i	0.584667	+	0.281561i	0.702743	−	0.711444i	$-0.251958\pi$
$101$	5.87583	+	2.82965i	0.584667	+	0.281561i	−0.118076	+	0.993005i	$0.537673\pi$
$102$	3.97306	+	4.98206i	0.393391	+	0.493297i
$103$	3.37080	+	4.22685i	0.332135	+	0.416484i	0.919656	−	0.392725i	$-0.128467\pi$
$103$	3.37080	+	4.22685i	0.332135	+	0.416484i	−0.587521	+	0.809209i	$0.699896\pi$
$104$	1.40034	+	6.13527i	0.137314	+	0.601613i
$105$	−0.535431	−	0.257850i	−0.0522527	−	0.0251636i
$106$	8.44929	−	4.06896i	0.820667	−	0.395212i
$107$	1.54475	+	6.76801i	0.149337	+	0.654288i	0.993070	+	0.117525i	$0.0374960\pi$
$107$	1.54475	+	6.76801i	0.149337	+	0.654288i	−0.843733	+	0.536763i	$0.819647\pi$
$108$	−0.993506	−	4.35283i	−0.0956001	−	0.418851i
$109$	13.6810	−	6.58840i	1.31040	−	0.631055i	0.357378	−	0.933960i	$-0.383671\pi$
$109$	13.6810	−	6.58840i	1.31040	−	0.631055i	0.953021	+	0.302905i	$0.0979566\pi$
$110$	−1.48834	−	0.716746i	−0.141907	−	0.0683390i
$111$	−1.06328	−	4.65854i	−0.100922	−	0.442169i
$112$	0.438749	+	0.550174i	0.0414579	+	0.0519866i
$113$	−10.8519	−	13.6079i	−1.02086	−	1.28012i	−0.959411	−	0.282011i	$-0.908999\pi$
$113$	−10.8519	−	13.6079i	−1.02086	−	1.28012i	−0.0614509	−	0.998110i	$-0.519573\pi$
$114$	5.29082	+	2.54793i	0.495531	+	0.238635i
$115$	0.609422	−	2.67005i	0.0568289	−	0.248984i
$116$	−3.75533	+	4.70903i	−0.348673	+	0.437222i
$117$	3.20228	−	14.0301i	0.296051	−	1.29708i
$118$	−9.93499	+	4.78444i	−0.914590	+	0.440443i
$119$	3.31059	+	4.15135i	0.303481	+	0.380553i
$120$	0.760881	−	0.366421i	0.0694586	−	0.0334495i
$121$	−5.15696	+	6.46663i	−0.468815	+	0.587875i
$122$	−8.34463			−0.755487
$123$	−3.60632			−0.325171
$124$	−1.83416	+	2.29997i	−0.164713	+	0.206543i
$125$	0.900969	+	0.433884i	0.0805851	+	0.0388077i
$126$	−0.358084	−	1.56887i	−0.0319007	−	0.139766i
$127$	−4.36438	+	19.1216i	−0.387277	+	1.69677i	0.286703	+	0.958019i	$0.407441\pi$
$127$	−4.36438	+	19.1216i	−0.387277	+	1.69677i	−0.673980	+	0.738750i	$0.735417\pi$
$128$	−1.00000			−0.0883883
$129$	0.686456	−	5.49514i	0.0604391	−	0.483820i
$130$	6.29305			0.551937
$131$	−0.398979	+	1.74804i	−0.0348590	+	0.152727i	−0.989362	−	0.145474i	$-0.953529\pi$
$131$	−0.398979	+	1.74804i	−0.0348590	+	0.152727i	0.954503	+	0.298201i	$0.0963865\pi$
$132$	0.310434	+	1.36010i	0.0270198	+	0.118382i
$133$	4.40863	+	2.12308i	0.382277	+	0.184095i
$134$	4.06631	−	5.09899i	0.351275	−	0.440485i
$135$	−4.46477			−0.384267
$136$	−7.54551			−0.647022
$137$	1.26328	−	1.58410i	0.107929	−	0.135339i	−0.724933	−	0.688819i	$-0.758129\pi$
$137$	1.26328	−	1.58410i	0.107929	−	0.135339i	0.832862	+	0.553481i	$0.186701\pi$
$138$	−2.08384	+	1.00352i	−0.177388	+	0.0854256i
$139$	−11.7721	−	14.7618i	−0.998498	−	1.25208i	−0.967583	−	0.252555i	$-0.918729\pi$
$139$	−11.7721	−	14.7618i	−0.998498	−	1.25208i	−0.0309156	−	0.999522i	$-0.509842\pi$
$140$	0.634011	−	0.305324i	0.0535837	−	0.0258046i
$141$	0.530018	−	2.32216i	0.0446356	−	0.195561i
$142$	−1.48104	+	1.85716i	−0.124286	+	0.155850i
$143$	−2.31326	+	10.1350i	−0.193444	+	0.847535i
$144$	2.06033	+	0.992204i	0.171694	+	0.0826836i
$145$	3.75533	+	4.70903i	0.311863	+	0.391064i
$146$	−3.99422	−	5.00860i	−0.330564	−	0.414514i
$147$	−1.22240	−	5.35567i	−0.100822	−	0.441728i
$148$	5.09777	+	2.45496i	0.419034	+	0.201796i
$149$	6.52505	−	3.14230i	0.534553	−	0.257427i	−0.147076	−	0.989125i	$-0.546986\pi$
$149$	6.52505	−	3.14230i	0.534553	−	0.257427i	0.681629	+	0.731698i	$0.261272\pi$
$150$	−0.187922	−	0.823340i	−0.0153438	−	0.0672255i
$151$	1.77017	+	7.75562i	0.144054	+	0.631143i	0.994469	+	0.105030i	$0.0334940\pi$
$151$	1.77017	+	7.75562i	0.144054	+	0.631143i	−0.850415	+	0.526113i	$0.823649\pi$
$152$	−6.26493	+	3.01703i	−0.508153	+	0.244714i
$153$	15.5463	+	7.48668i	1.25684	+	0.605262i
$154$	0.258672	+	1.13332i	0.0208444	+	0.0913253i
$155$	1.83416	+	2.29997i	0.147323	+	0.184738i
$156$	−3.31358	−	4.15510i	−0.265299	−	0.332674i
$157$	5.45395	+	2.62649i	0.435273	+	0.209616i	0.638671	−	0.769480i	$-0.279484\pi$
$157$	5.45395	+	2.62649i	0.435273	+	0.209616i	−0.203398	+	0.979096i	$0.565199\pi$
$158$	−3.01508	+	13.2099i	−0.239867	+	1.05093i
$159$	−4.93795	+	6.19199i	−0.391605	+	0.491057i
$160$	−0.222521	+	0.974928i	−0.0175918	+	0.0770748i
$161$	−1.73638	+	0.836195i	−0.136846	+	0.0659014i
$162$	−1.92647	−	2.41572i	−0.151358	−	0.189797i
$163$	9.27715	−	4.46764i	0.726643	−	0.349933i	−0.0337202	−	0.999431i	$-0.510735\pi$
$163$	9.27715	−	4.46764i	0.726643	−	0.349933i	0.760363	+	0.649499i	$0.225021\pi$
$164$	2.66248	−	3.33865i	0.207905	−	0.260705i
$165$	1.39508			0.108607
$166$	17.4215			1.35217
$167$	−11.1895	+	14.0312i	−0.865872	+	1.08577i	0.129680	+	0.991556i	$0.458605\pi$
$167$	−11.1895	+	14.0312i	−0.865872	+	1.08577i	−0.995552	+	0.0942134i	$0.969966\pi$
$168$	−0.535431	−	0.257850i	−0.0413094	−	0.0198936i
$169$	−5.91961	−	25.9355i	−0.455355	−	1.99504i
$170$	−1.67903	+	7.35633i	−0.128776	+	0.564205i
$171$	15.9014			1.21601
$172$	4.58047	+	4.69247i	0.349258	+	0.357797i
$173$	−10.6612			−0.810558			−0.405279	−	0.914193i	$-0.632826\pi$
$173$	−10.6612			−0.810558			−0.405279	+	0.914193i	$0.632826\pi$
$174$	1.13187	−	4.95904i	0.0858067	−	0.375944i
$175$	−0.156588	−	0.686056i	−0.0118369	−	0.0518610i
$176$	−1.48834	−	0.716746i	−0.112188	−	0.0540267i
$177$	5.80622	−	7.28077i	0.436423	−	0.547257i
$178$	−6.17176			−0.462593
$179$	2.90945			0.217462			0.108731	−	0.994071i	$-0.465321\pi$
$179$	2.90945			0.217462			0.108731	+	0.994071i	$0.465321\pi$
$180$	1.42579	−	1.78789i	0.106272	−	0.133261i
$181$	10.7762	−	5.18954i	0.800988	−	0.385736i	0.0118335	−	0.999930i	$-0.496233\pi$
$181$	10.7762	−	5.18954i	0.800988	−	0.385736i	0.789155	+	0.614194i	$0.210519\pi$
$182$	−2.76107	−	3.46227i	−0.204664	−	0.256641i
$183$	6.34927	−	3.05765i	0.469351	−	0.226028i
$184$	0.609422	−	2.67005i	0.0449272	−	0.196839i
$185$	3.52777	−	4.42368i	0.259367	−	0.325235i
$186$	0.552823	−	2.42208i	0.0405349	−	0.177595i
$187$	−11.2303	−	5.40821i	−0.821239	−	0.395488i
$188$	1.75850	+	2.20509i	0.128252	+	0.160823i
$189$	1.95892	+	2.45640i	0.142490	+	0.178677i
$190$	1.54731	+	6.77921i	0.112254	+	0.491816i
$191$	−16.0974	−	7.75211i	−1.16477	−	0.560923i	−0.251331	−	0.967901i	$-0.580868\pi$
$191$	−16.0974	−	7.75211i	−1.16477	−	0.560923i	−0.913438	+	0.406978i	$0.866583\pi$
$192$	0.760881	−	0.366421i	0.0549118	−	0.0264442i
$193$	−5.52015	−	24.1854i	−0.397349	−	1.74090i	−0.637766	−	0.770230i	$-0.720141\pi$
$193$	−5.52015	−	24.1854i	−0.397349	−	1.74090i	0.240417	−	0.970670i	$-0.422716\pi$
$194$	3.35540	+	14.7010i	0.240904	+	1.05547i
$195$	−4.78826	+	2.30591i	−0.342895	+	0.165129i
$196$	5.86063	+	2.82233i	0.418616	+	0.201595i
$197$	−1.22813	−	5.38080i	−0.0875009	−	0.383366i	0.912148	−	0.409861i	$-0.134423\pi$
$197$	−1.22813	−	5.38080i	−0.0875009	−	0.383366i	−0.999649	+	0.0264944i	$0.991566\pi$
$198$	2.35531	+	2.95347i	0.167385	+	0.209894i
$199$	−14.2908	−	17.9201i	−1.01305	−	1.27032i	−0.962409	−	0.271605i	$-0.912446\pi$
$199$	−14.2908	−	17.9201i	−1.01305	−	1.27032i	−0.0506390	−	0.998717i	$-0.516126\pi$
$200$	0.900969	+	0.433884i	0.0637081	+	0.0306802i
$201$	−1.22560	+	5.36970i	−0.0864471	+	0.378749i
$202$	4.06620	−	5.09885i	0.286097	−	0.358754i
$203$	0.943140	−	4.13217i	0.0661954	−	0.290021i
$204$	5.74123	−	2.76483i	0.401967	−	0.193577i
$205$	−2.66248	−	3.33865i	−0.185956	−	0.233181i
$206$	4.87095	−	2.34573i	0.339375	−	0.163434i
$207$	−3.90485	+	4.89652i	−0.271406	+	0.340332i
$208$	6.29305			0.436345
$209$	−11.4868			−0.794557
$210$	−0.370530	+	0.464630i	−0.0255690	+	0.0320625i
$211$	5.37396	+	2.58796i	0.369959	+	0.178163i	0.609620	−	0.792694i	$-0.291322\pi$
$211$	5.37396	+	2.58796i	0.369959	+	0.178163i	−0.239661	+	0.970857i	$0.577036\pi$
$212$	−2.08680	−	9.14287i	−0.143322	−	0.627935i
$213$	0.446390	−	1.95576i	0.0305862	−	0.134007i
$214$	6.94206			0.474550
$215$	5.59407	−	3.42146i	0.381512	−	0.233342i
$216$	−4.46477			−0.303789
$217$	0.460645	−	2.01822i	0.0312706	−	0.137005i
$218$	−3.37892	−	14.8040i	−0.228849	−	1.00265i
$219$	4.87438	+	2.34738i	0.329380	+	0.158621i
$220$	−1.02996	+	1.29153i	−0.0694400	+	0.0870750i
$221$	47.4843			3.19414
$222$	−4.77834			−0.320701
$223$	16.2676	−	20.3989i	1.08936	−	1.36601i	0.164200	−	0.986427i	$-0.447496\pi$
$223$	16.2676	−	20.3989i	1.08936	−	1.36601i	0.925158	−	0.379583i	$-0.123933\pi$
$224$	0.634011	−	0.305324i	0.0423616	−	0.0204003i
$225$	−1.42579	−	1.78789i	−0.0950529	−	0.119193i
$226$	−15.6815	+	7.55180i	−1.04312	+	0.502338i
$227$	−3.93993	+	17.2620i	−0.261503	+	1.14572i	0.658119	+	0.752914i	$0.271352\pi$
$227$	−3.93993	+	17.2620i	−0.261503	+	1.14572i	−0.919622	+	0.392804i	$0.871505\pi$
$228$	3.66136	−	4.59120i	0.242480	−	0.304060i
$229$	0.369155	−	1.61737i	0.0243944	−	0.106879i	−0.961265	−	0.275626i	$-0.911115\pi$
$229$	0.369155	−	1.61737i	0.0243944	−	0.106879i	0.985659	+	0.168747i	$0.0539720\pi$
$230$	−2.46750	−	1.18828i	−0.162702	−	0.0783532i
$231$	−0.612090	−	0.767536i	−0.0402725	−	0.0505002i
$232$	3.75533	+	4.70903i	0.246549	+	0.309163i
$233$	−0.251242	−	1.10077i	−0.0164594	−	0.0721135i	0.966031	−	0.258425i	$-0.0832036\pi$
$233$	−0.251242	−	1.10077i	−0.0164594	−	0.0721135i	−0.982491	+	0.186312i	$0.940346\pi$
$234$	−12.9658	−	6.24399i	−0.847599	−	0.408182i
$235$	2.54111	−	1.22373i	0.165764	−	0.0798275i
$236$	2.45374	+	10.7505i	0.159725	+	0.699800i
$237$	−2.54628	−	11.1560i	−0.165399	−	0.724658i
$238$	4.78394	−	2.30382i	0.310097	−	0.149335i
$239$	8.13449	+	3.91736i	0.526176	+	0.253393i	0.678062	−	0.735005i	$-0.262820\pi$
$239$	8.13449	+	3.91736i	0.526176	+	0.253393i	−0.151885	+	0.988398i	$0.548534\pi$
$240$	−0.187922	−	0.823340i	−0.0121303	−	0.0531464i
$241$	4.62927	+	5.80492i	0.298198	+	0.373928i	0.908246	−	0.418436i	$-0.137422\pi$
$241$	4.62927	+	5.80492i	0.298198	+	0.373928i	−0.610049	+	0.792364i	$0.708850\pi$
$242$	5.15696	+	6.46663i	0.331502	+	0.415690i
$243$	14.4189	+	6.94375i	0.924970	+	0.445442i
$244$	−1.85685	+	8.13541i	−0.118873	+	0.520816i
$245$	4.05568	−	5.08566i	0.259108	−	0.324911i
$246$	−0.802482	+	3.51590i	−0.0511644	+	0.224166i
$247$	39.4255	−	18.9863i	2.50859	−	1.20807i
$248$	1.83416	+	2.29997i	0.116469	+	0.146048i
$249$	−13.2557	+	6.38359i	−0.840043	+	0.404544i
$250$	0.623490	−	0.781831i	0.0394330	−	0.0494474i
$251$	−5.72859			−0.361586			−0.180793	−	0.983521i	$-0.557866\pi$
$251$	−5.72859			−0.361586			−0.180793	+	0.983521i	$0.557866\pi$
$252$	−1.60922			−0.101371
$253$	2.82077	−	3.53714i	0.177341	−	0.222378i
$254$	17.6710	+	8.50992i	1.10878	+	0.533960i
$255$	−1.41797	−	6.21252i	−0.0887966	−	0.389043i
$256$	−0.222521	+	0.974928i	−0.0139076	+	0.0609330i
$257$	−21.7897			−1.35921			−0.679603	−	0.733580i	$-0.737848\pi$
$257$	−21.7897			−1.35921			−0.679603	+	0.733580i	$0.737848\pi$
$258$	−5.20461	−	1.89203i	−0.324025	−	0.117793i
$259$	−3.98160			−0.247405
$260$	1.40034	−	6.13527i	0.0868451	−	0.380493i
$261$	−3.06490	−	13.4282i	−0.189713	−	0.831185i
$262$	1.61543	+	0.777952i	0.0998018	+	0.0480620i
$263$	0.355434	−	0.445701i	0.0219170	−	0.0274831i	−0.770752	−	0.637135i	$-0.780119\pi$
$263$	0.355434	−	0.445701i	0.0219170	−	0.0274831i	0.792669	+	0.609652i	$0.208691\pi$
$264$	1.39508			0.0858611
$265$	−9.37800			−0.576086
$266$	3.05087	−	3.82566i	0.187061	−	0.234567i
$267$	4.69597	−	2.26146i	0.287389	−	0.138399i
$268$	−4.06631	−	5.09899i	−0.248389	−	0.311470i
$269$	−5.85641	+	2.82030i	−0.357072	+	0.171957i	−0.603816	−	0.797124i	$-0.706354\pi$
$269$	−5.85641	+	2.82030i	−0.357072	+	0.171957i	0.246744	+	0.969081i	$0.420639\pi$
$270$	−0.993506	+	4.35283i	−0.0604628	+	0.264905i
$271$	1.10588	−	1.38672i	0.0671772	−	0.0842375i	−0.747108	−	0.664703i	$-0.768558\pi$
$271$	1.10588	−	1.38672i	0.0671772	−	0.0842375i	0.814285	+	0.580466i	$0.197129\pi$
$272$	−1.67903	+	7.35633i	−0.101806	+	0.446043i
$273$	3.36950	+	1.62266i	0.203931	+	0.0982081i
$274$	−1.26328	−	1.58410i	−0.0763173	−	0.0956988i
$275$	1.02996	+	1.29153i	0.0621090	+	0.0778823i
$276$	0.514665	+	2.25490i	0.0309792	+	0.135729i
$277$	−6.71317	−	3.23289i	−0.403355	−	0.194246i	0.221196	−	0.975229i	$-0.429004\pi$
$277$	−6.71317	−	3.23289i	−0.403355	−	0.194246i	−0.624552	+	0.780984i	$0.714718\pi$
$278$	−17.0112	+	8.19216i	−1.02026	+	0.491333i
$279$	−1.49695	−	6.55856i	−0.0896199	−	0.392650i
$280$	−0.156588	−	0.686056i	−0.00935791	−	0.0409997i
$281$	−8.97460	+	4.32194i	−0.535380	+	0.257825i	−0.681980	−	0.731371i	$-0.738881\pi$
$281$	−8.97460	+	4.32194i	−0.535380	+	0.257825i	0.146601	+	0.989196i	$0.453167\pi$
$282$	−2.14600	−	1.03346i	−0.127792	−	0.0615416i
$283$	−1.12070	−	4.91010i	−0.0666186	−	0.291875i	0.930634	−	0.365951i	$-0.119256\pi$
$283$	−1.12070	−	4.91010i	−0.0666186	−	0.291875i	−0.997253	+	0.0740761i	$0.976399\pi$
$284$	1.48104	+	1.85716i	0.0878834	+	0.110202i
$285$	−3.66136	−	4.59120i	−0.216880	−	0.271959i
$286$	9.36619	+	4.51052i	0.553834	+	0.266713i
$287$	−0.668676	+	2.92966i	−0.0394707	+	0.172932i
$288$	1.42579	−	1.78789i	0.0840157	−	0.105352i
$289$	−8.88631	+	38.9335i	−0.522724	+	2.29020i
$290$	5.42660	−	2.61331i	0.318661	−	0.153459i
$291$	−7.93980	−	9.95619i	−0.465439	−	0.583642i
$292$	−5.77182	+	2.77956i	−0.337770	+	0.162662i
$293$	−2.89767	+	3.63356i	−0.169284	+	0.212275i	−0.859235	−	0.511580i	$-0.829060\pi$
$293$	−2.89767	+	3.63356i	−0.169284	+	0.212275i	0.689952	+	0.723855i	$0.257632\pi$
$294$	−5.49340			−0.320382
$295$	11.0270			0.642017
$296$	3.52777	−	4.42368i	0.205047	−	0.257121i
$297$	−6.64509	−	3.20011i	−0.385587	−	0.185689i
$298$	−1.61155	−	7.06068i	−0.0933548	−	0.409014i
$299$	−3.83512	+	16.8028i	−0.221791	+	0.971729i
$300$	−0.844514			−0.0487580
$301$	−4.33679	−	1.57655i	−0.249969	−	0.0908709i
$302$	7.95507			0.457763
$303$	−1.22557	+	5.36956i	−0.0704070	+	0.308473i
$304$	1.54731	+	6.77921i	0.0887443	+	0.388814i
$305$	7.51825	+	3.62060i	0.430494	+	0.207315i
$306$	10.7583	−	13.4905i	0.615014	−	0.771203i
$307$	7.08562			0.404398			0.202199	−	0.979344i	$-0.435191\pi$
$307$	7.08562			0.404398			0.202199	+	0.979344i	$0.435191\pi$
$308$	1.16246			0.0662374
$309$	−2.84669	+	3.56964i	−0.161943	+	0.203069i
$310$	2.65044	−	1.27638i	0.150535	−	0.0724938i
$311$	−9.94781	−	12.4742i	−0.564088	−	0.707344i	0.415219	−	0.909721i	$-0.363705\pi$
$311$	−9.94781	−	12.4742i	−0.564088	−	0.707344i	−0.979308	+	0.202377i	$0.935133\pi$
$312$	−4.78826	+	2.30591i	−0.271082	+	0.130546i
$313$	−1.99658	+	8.74758i	−0.112853	+	0.494443i	0.886635	+	0.462469i	$0.153036\pi$
$313$	−1.99658	+	8.74758i	−0.112853	+	0.494443i	−0.999489	+	0.0319736i	$0.989821\pi$
$314$	3.77425	−	4.73276i	0.212993	−	0.267085i
$315$	−0.358084	+	1.56887i	−0.0201758	+	0.0883958i
$316$	12.2078	+	5.87897i	0.686743	+	0.330718i
$317$	1.60020	+	2.00658i	0.0898761	+	0.112701i	0.824736	−	0.565518i	$-0.191324\pi$
$317$	1.60020	+	2.00658i	0.0898761	+	0.112701i	−0.734860	+	0.678219i	$0.762752\pi$
$318$	4.93795	+	6.19199i	0.276906	+	0.347230i
$319$	2.21402	+	9.70024i	0.123961	+	0.543109i
$320$	0.900969	+	0.433884i	0.0503657	+	0.0242548i
$321$	−5.28208	+	2.54372i	−0.294817	+	0.141976i
$322$	0.428850	+	1.87891i	0.0238989	+	0.104708i
$323$	11.6752	+	51.1526i	0.649628	+	2.84621i
$324$	−2.78384	+	1.34062i	−0.154658	+	0.0744791i
$325$	−5.66984	−	2.73045i	−0.314506	−	0.151458i
$326$	−2.29127	−	10.0387i	−0.126902	−	0.555992i
$327$	7.99545	+	10.0260i	0.442150	+	0.554438i
$328$	−2.66248	−	3.33865i	−0.147011	−	0.184346i
$329$	−1.78818	−	0.861140i	−0.0985853	−	0.0474762i
$330$	0.310434	−	1.36010i	0.0170888	−	0.0748711i
$331$	−20.8228	+	26.1109i	−1.14452	+	1.43519i	−0.261907	+	0.965093i	$0.584351\pi$
$331$	−20.8228	+	26.1109i	−1.14452	+	1.43519i	−0.882616	+	0.470094i	$0.844220\pi$
$332$	3.87664	−	16.9847i	0.212758	−	0.932155i
$333$	−11.6576	+	5.61399i	−0.638830	+	0.307645i
$334$	11.1895	+	14.0312i	0.612264	+	0.767755i
$335$	−5.87598	+	2.82972i	−0.321039	+	0.154604i
$336$	−0.370530	+	0.464630i	−0.0202141	+	0.0253476i
$337$	26.5878			1.44833			0.724165	−	0.689627i	$-0.242225\pi$
$337$	26.5878			1.44833			0.724165	+	0.689627i	$0.242225\pi$
$338$	−26.6025			−1.44699
$339$	9.16459	−	11.4920i	0.497752	−	0.624162i
$340$	6.79827	+	3.27387i	0.368688	+	0.177551i
$341$	1.08136	+	4.73775i	0.0585590	+	0.256564i
$342$	3.53838	−	15.5027i	0.191334	−	0.838288i
$343$	−9.50332			−0.513131
$344$	5.59407	−	3.42146i	0.301612	−	0.184473i
$345$	2.31288			0.124522
$346$	−2.37235	+	10.3939i	−0.127538	+	0.558781i
$347$	−2.92048	−	12.7955i	−0.156779	−	0.686896i	−0.990819	−	0.135192i	$-0.956835\pi$
$347$	−2.92048	−	12.7955i	−0.156779	−	0.686896i	0.834040	−	0.551704i	$-0.186022\pi$
$348$	−4.58284	−	2.20698i	−0.245666	−	0.118307i
$349$	20.9472	−	26.2669i	1.12128	−	1.40604i	0.218548	−	0.975826i	$-0.429868\pi$
$349$	20.9472	−	26.2669i	1.12128	−	1.40604i	0.902729	−	0.430210i	$-0.141561\pi$
$350$	−0.703699			−0.0376143
$351$	28.0971			1.49971
$352$	−1.02996	+	1.29153i	−0.0548972	+	0.0688388i
$353$	7.36817	−	3.54833i	0.392168	−	0.188858i	−0.227399	−	0.973802i	$-0.573022\pi$
$353$	7.36817	−	3.54833i	0.392168	−	0.188858i	0.619568	+	0.784943i	$0.287308\pi$
$354$	−5.80622	−	7.28077i	−0.308597	−	0.386969i
$355$	2.14016	−	1.03065i	0.113588	−	0.0547011i
$356$	−1.37335	+	6.01702i	−0.0727872	+	0.318901i
$357$	−2.79584	+	3.50587i	−0.147971	+	0.185550i
$358$	0.647413	−	2.83650i	0.0342168	−	0.149914i
$359$	13.5313	+	6.51631i	0.714153	+	0.343918i	0.755429	−	0.655230i	$-0.227428\pi$
$359$	13.5313	+	6.51631i	0.714153	+	0.343918i	−0.0412768	+	0.999148i	$0.513143\pi$
$360$	−1.42579	−	1.78789i	−0.0751459	−	0.0942300i
$361$	18.3006	+	22.9482i	0.963189	+	1.20780i
$362$	−2.66150	−	11.6608i	−0.139885	−	0.612878i
$363$	−6.29334	−	3.03071i	−0.330315	−	0.159071i
$364$	−3.98986	+	1.92142i	−0.209126	+	0.100710i
$365$	1.42552	+	6.24562i	0.0746152	+	0.326911i
$366$	−1.56814	−	6.87047i	−0.0819680	−	0.359125i
$367$	−6.88613	+	3.31619i	−0.359453	+	0.173104i	−0.604890	−	0.796309i	$-0.706783\pi$
$367$	−6.88613	+	3.31619i	−0.359453	+	0.173104i	0.245437	+	0.969413i	$0.421069\pi$
$368$	−2.46750	−	1.18828i	−0.128627	−	0.0619436i
$369$	2.17298	+	9.52045i	0.113121	+	0.495615i
$370$	−3.52777	−	4.42368i	−0.183400	−	0.229976i
$371$	4.11459	+	5.15953i	0.213619	+	0.267870i
$372$	−2.23833	−	1.07792i	−0.116052	−	0.0558878i
$373$	−7.42379	+	32.5258i	−0.384389	+	1.68412i	0.299150	+	0.954206i	$0.403297\pi$
$373$	−7.42379	+	32.5258i	−0.384389	+	1.68412i	−0.683539	+	0.729914i	$0.739560\pi$
$374$	−7.77159	+	9.74526i	−0.401859	+	0.503916i
$375$	−0.187922	+	0.823340i	−0.00970425	+	0.0425171i
$376$	2.54111	−	1.22373i	0.131048	−	0.0631092i
$377$	−23.6325	−	29.6342i	−1.21713	−	1.52624i
$378$	2.83072	−	1.36320i	0.145596	−	0.0701155i
$379$	−8.96937	+	11.2472i	−0.460726	+	0.577732i	−0.956873	−	0.290507i	$-0.906176\pi$
$379$	−8.96937	+	11.2472i	−0.460726	+	0.577732i	0.496147	+	0.868238i	$0.334748\pi$
$380$	6.95355			0.356710
$381$	−16.5638			−0.848587
$382$	−11.1398	+	13.9688i	−0.569960	+	0.714707i
$383$	−17.3940	−	8.37651i	−0.888792	−	0.428020i	−0.0669638	−	0.997755i	$-0.521331\pi$
$383$	−17.3940	−	8.37651i	−0.888792	−	0.428020i	−0.821828	+	0.569736i	$0.807045\pi$
$384$	−0.187922	−	0.823340i	−0.00958986	−	0.0420159i
$385$	0.258672	−	1.13332i	0.0131832	−	0.0577592i
$386$	−24.8073			−1.26266
$387$	−14.9204	+	1.49888i	−0.758448	+	0.0761925i
$388$	15.0790			0.765521
$389$	0.688066	−	3.01461i	0.0348863	−	0.152847i	−0.954485	−	0.298260i	$-0.903594\pi$
$389$	0.688066	−	3.01461i	0.0348863	−	0.152847i	0.989371	+	0.145413i	$0.0464510\pi$
$390$	1.18260	+	5.18132i	0.0598834	+	0.262367i
$391$	−18.6185	−	8.96621i	−0.941580	−	0.453441i
$392$	4.05568	−	5.08566i	0.204843	−	0.256865i
$393$	−1.51421			−0.0763818
$394$	−5.51918			−0.278052
$395$	8.44807	−	10.5935i	0.425068	−	0.533019i
$396$	3.40353	−	1.63905i	0.171034	−	0.0823654i
$397$	−11.4903	−	14.4084i	−0.576682	−	0.723136i	0.404861	−	0.914378i	$-0.367320\pi$
$397$	−11.4903	−	14.4084i	−0.576682	−	0.723136i	−0.981543	+	0.191242i	$0.938748\pi$
$398$	−20.6508	+	9.94490i	−1.03513	+	0.498493i
$399$	−0.919542	+	4.02878i	−0.0460347	+	0.201691i
$400$	0.623490	−	0.781831i	0.0311745	−	0.0390916i
$401$	−3.89332	+	17.0577i	−0.194423	+	0.851823i	0.779763	+	0.626075i	$0.215340\pi$
$401$	−3.89332	+	17.0577i	−0.194423	+	0.851823i	−0.974186	+	0.225748i	$0.927518\pi$
$402$	4.96235	+	2.38974i	0.247500	+	0.119189i
$403$	−11.5425	−	14.4738i	−0.574972	−	0.720992i
$404$	−4.06620	−	5.09885i	−0.202301	−	0.253677i
$405$	0.687551	+	3.01236i	0.0341647	+	0.149685i
$406$	−3.81870	−	1.83899i	−0.189519	−	0.0912674i
$407$	8.42116	−	4.05542i	0.417422	−	0.201020i
$408$	−1.41797	−	6.21252i	−0.0701999	−	0.307566i
$409$	0.382796	+	1.67714i	0.0189281	+	0.0829292i	0.983510	−	0.180855i	$-0.0578865\pi$
$409$	0.382796	+	1.67714i	0.0189281	+	0.0829292i	−0.964582	+	0.263784i	$0.915029\pi$
$410$	−3.84740	+	1.85281i	−0.190010	+	0.0915038i
$411$	1.54165	+	0.742419i	0.0760439	+	0.0366208i
$412$	−1.20303	−	5.27080i	−0.0592688	−	0.259674i
$413$	−4.83809	−	6.06677i	−0.238067	−	0.298526i
$414$	3.90485	+	4.89652i	0.191913	+	0.240651i
$415$	−15.6962	−	7.55889i	−0.770496	−	0.371051i
$416$	1.40034	−	6.13527i	0.0686571	−	0.300806i
$417$	9.94172	−	12.4665i	0.486848	−	0.610488i
$418$	−2.55605	+	11.1988i	−0.125020	+	0.547750i
$419$	−18.7240	+	9.01702i	−0.914729	+	0.440510i	−0.831186	−	0.555994i	$-0.812338\pi$
$419$	−18.7240	+	9.01702i	−0.914729	+	0.440510i	−0.0835428	+	0.996504i	$0.526624\pi$
$420$	0.370530	+	0.464630i	0.0180800	+	0.0226716i
$421$	24.0298	−	11.5721i	1.17114	−	0.563992i	0.255823	−	0.966724i	$-0.417654\pi$
$421$	24.0298	−	11.5721i	1.17114	−	0.563992i	0.915318	+	0.402732i	$0.131939\pi$
$422$	3.71890	−	4.66335i	0.181033	−	0.227008i
$423$	−6.44972			−0.313596
$424$	−9.37800			−0.455436
$425$	4.70455	−	5.89932i	0.228204	−	0.286159i
$426$	−1.80740	−	0.870397i	−0.0875687	−	0.0421708i
$427$	−1.30667	−	5.72488i	−0.0632340	−	0.277046i
$428$	1.54475	−	6.76801i	0.0746685	−	0.327144i
$429$	−8.77930			−0.423869
$430$	−2.09088	−	6.21516i	−0.100831	−	0.299722i
$431$	−4.39211			−0.211560			−0.105780	−	0.994390i	$-0.533734\pi$
$431$	−4.39211			−0.211560			−0.105780	+	0.994390i	$0.533734\pi$
$432$	−0.993506	+	4.35283i	−0.0478001	+	0.209426i
$433$	3.70899	+	16.2502i	0.178243	+	0.780933i	0.982441	+	0.186572i	$0.0597377\pi$
$433$	3.70899	+	16.2502i	0.178243	+	0.780933i	−0.804199	+	0.594361i	$0.797405\pi$
$434$	−1.86511	−	0.898191i	−0.0895283	−	0.0431145i
$435$	−3.17142	+	3.97684i	−0.152058	+	0.190675i
$436$	−15.1847			−0.727216
$437$	−19.0438			−0.910989
$438$	3.37318	−	4.22983i	0.161177	−	0.202109i
$439$	−3.16617	+	1.52475i	−0.151113	+	0.0727723i	−0.507912	−	0.861409i	$-0.669582\pi$
$439$	−3.16617	+	1.52475i	−0.151113	+	0.0727723i	0.356799	+	0.934181i	$0.383868\pi$
$440$	1.02996	+	1.29153i	0.0491015	+	0.0615713i
$441$	−13.4021	+	6.45409i	−0.638193	+	0.307338i
$442$	10.5662	−	46.2938i	0.502585	−	2.20197i
$443$	18.1537	−	22.7640i	0.862508	−	1.08155i	−0.133389	−	0.991064i	$-0.542586\pi$
$443$	18.1537	−	22.7640i	0.862508	−	1.08155i	0.995898	−	0.0904873i	$-0.0288424\pi$
$444$	−1.06328	+	4.65854i	−0.0504611	+	0.221085i
$445$	5.56056	+	2.67783i	0.263596	+	0.126941i
$446$	−16.2676	−	20.3989i	−0.770292	−	0.965915i
$447$	3.81338	+	4.78183i	0.180367	+	0.226173i
$448$	−0.156588	−	0.686056i	−0.00739808	−	0.0324131i
$449$	−0.181576	−	0.0874425i	−0.00856911	−	0.00412667i	0.429594	−	0.903022i	$-0.358657\pi$
$449$	−0.181576	−	0.0874425i	−0.00856911	−	0.00412667i	−0.438163	+	0.898895i	$0.644371\pi$
$450$	−2.06033	+	0.992204i	−0.0971250	+	0.0467729i
$451$	−1.56971	−	6.87736i	−0.0739149	−	0.323842i
$452$	3.87300	+	16.9687i	0.182171	+	0.798142i
$453$	−6.05286	+	2.91490i	−0.284388	+	0.136954i
$454$	15.9525	+	7.68231i	0.748687	+	0.360548i
$455$	0.985415	+	4.31739i	0.0461970	+	0.202402i
$456$	−3.66136	−	4.59120i	−0.171459	−	0.215003i
$457$	6.19616	+	7.76974i	0.289844	+	0.363453i	0.905340	−	0.424687i	$-0.139616\pi$
$457$	6.19616	+	7.76974i	0.289844	+	0.363453i	−0.615496	+	0.788140i	$0.711044\pi$
$458$	−1.49468	−	0.719799i	−0.0698417	−	0.0336340i
$459$	−7.49651	+	32.8443i	−0.349907	+	1.53304i
$460$	−1.70756	+	2.14122i	−0.0796155	+	0.0998347i
$461$	−0.937723	+	4.10843i	−0.0436741	+	0.191349i	−0.992059	−	0.125772i	$-0.959859\pi$
$461$	−0.937723	+	4.10843i	−0.0436741	+	0.191349i	0.948385	+	0.317121i	$0.102716\pi$
$462$	−0.884495	+	0.425950i	−0.0411504	+	0.0198170i
$463$	−17.2062	−	21.5759i	−0.799642	−	1.00272i	−0.999737	−	0.0229428i	$-0.992696\pi$
$463$	−17.2062	−	21.5759i	−0.799642	−	1.00272i	0.200095	−	0.979777i	$-0.435875\pi$
$464$	5.42660	−	2.61331i	0.251924	−	0.121320i
$465$	−1.54898	+	1.94235i	−0.0718320	+	0.0900745i
$466$	−1.12907			−0.0523033
$467$	−4.14604			−0.191856			−0.0959280	−	0.995388i	$-0.530582\pi$
$467$	−4.14604			−0.191856			−0.0959280	+	0.995388i	$0.530582\pi$
$468$	−8.97260	+	11.2513i	−0.414758	+	0.520091i
$469$	4.13492	+	1.99127i	0.190933	+	0.0919485i
$470$	−0.627602	−	2.74970i	−0.0289491	−	0.126834i
$471$	−1.13757	+	4.98403i	−0.0524166	+	0.229652i
$472$	11.0270			0.507559
$473$	10.7782	−	1.08276i	0.495581	−	0.0497854i
$474$	−11.4429			−0.525588
$475$	1.54731	−	6.77921i	0.0709955	−	0.311052i
$476$	−1.18153	−	5.17664i	−0.0541556	−	0.237271i
$477$	19.3218	+	9.30488i	0.884684	+	0.426041i
$478$	5.62924	−	7.05884i	0.257475	−	0.322864i
$479$	31.4813			1.43842			0.719208	−	0.694794i	$-0.244505\pi$
$479$	31.4813			1.43842			0.719208	+	0.694794i	$0.244505\pi$
$480$	−0.844514			−0.0385466
$481$	−22.2004	+	27.8384i	−1.01225	+	1.26932i
$482$	6.68949	−	3.22149i	0.304698	−	0.146735i
$483$	−1.01478	−	1.27249i	−0.0461739	−	0.0579003i
$484$	7.45203	−	3.58871i	0.338728	−	0.163123i
$485$	3.35540	−	14.7010i	0.152361	−	0.667536i
$486$	9.97816	−	12.5122i	0.452618	−	0.567565i
$487$	−4.34659	+	19.0436i	−0.196963	+	0.862950i	0.775769	+	0.631017i	$0.217362\pi$
$487$	−4.34659	+	19.0436i	−0.196963	+	0.862950i	−0.972732	+	0.231933i	$0.925495\pi$
$488$	7.51825	+	3.62060i	0.340335	+	0.163897i
$489$	5.42177	+	6.79868i	0.245181	+	0.307447i
$490$	−4.05568	−	5.08566i	−0.183217	−	0.229747i
$491$	−2.40425	−	10.5337i	−0.108502	−	0.475379i	−0.999761	−	0.0218833i	$-0.993034\pi$
$491$	−2.40425	−	10.5337i	−0.108502	−	0.475379i	0.891258	−	0.453496i	$-0.149823\pi$
$492$	3.24918	+	1.56472i	0.146484	+	0.0705432i
$493$	40.9465	−	19.7188i	1.84414	−	0.888089i
$494$	−9.73731	−	42.6619i	−0.438102	−	1.91945i
$495$	−0.840601	−	3.68292i	−0.0377822	−	0.165535i
$496$	2.65044	−	1.27638i	0.119008	−	0.0573114i
$497$	−1.50603	−	0.725266i	−0.0675547	−	0.0325326i
$498$	3.27388	+	14.3438i	0.146706	+	0.642761i
$499$	14.5949	+	18.3014i	0.653355	+	0.819282i	0.992602	−	0.121416i	$-0.0387434\pi$
$499$	14.5949	+	18.3014i	0.653355	+	0.819282i	−0.339246	+	0.940698i	$0.610172\pi$
$500$	−0.623490	−	0.781831i	−0.0278833	−	0.0349646i
$501$	−13.6552	−	6.57602i	−0.610071	−	0.293795i
$502$	−1.27473	+	5.58497i	−0.0568941	+	0.249269i
$503$	−16.5284	+	20.7259i	−0.736963	+	0.924122i	−0.999164	−	0.0408910i	$-0.986980\pi$
$503$	−16.5284	+	20.7259i	−0.736963	+	0.924122i	0.262201	+	0.965013i	$0.415552\pi$
$504$	−0.358084	+	1.56887i	−0.0159503	+	0.0698830i
$505$	−5.87583	+	2.82965i	−0.261471	+	0.125918i
$506$	−2.82077	−	3.53714i	−0.125399	−	0.157245i
$507$	20.2413	−	9.74771i	0.898949	−	0.432911i
$508$	12.2287	−	15.3343i	0.542562	−	0.680352i
$509$	−43.7793			−1.94048			−0.970241	−	0.242142i	$-0.922150\pi$
$509$	−43.7793			−1.94048			−0.970241	+	0.242142i	$0.922150\pi$
$510$	−6.37229			−0.282170
$511$	2.81073	−	3.52455i	0.124339	−	0.155917i
$512$	0.900969	+	0.433884i	0.0398176	+	0.0191751i
$513$	6.90839	+	30.2676i	0.305013	+	1.33635i
$514$	−4.84867	+	21.2434i	−0.213866	+	0.937006i
$515$	−5.40635			−0.238232
$516$	−3.00273	+	4.65311i	−0.132188	+	0.204842i
$517$	4.65913			0.204908
$518$	−0.885989	+	3.88177i	−0.0389281	+	0.170555i
$519$	−2.00348	−	8.77782i	−0.0879430	−	0.385304i
$520$	−5.66984	−	2.73045i	−0.248639	−	0.119738i
$521$	−5.91103	+	7.41220i	−0.258967	+	0.324734i	−0.894269	−	0.447529i	$-0.852304\pi$
$521$	−5.91103	+	7.41220i	−0.258967	+	0.324734i	0.635302	+	0.772264i	$0.280876\pi$
$522$	−13.7735			−0.602852
$523$	−17.9773			−0.786092			−0.393046	−	0.919519i	$-0.628579\pi$
$523$	−17.9773			−0.786092			−0.393046	+	0.919519i	$0.628579\pi$
$524$	1.11791	−	1.40182i	0.0488363	−	0.0612388i
$525$	0.535431	−	0.257850i	0.0233681	−	0.0112535i
$526$	−0.355434	−	0.445701i	−0.0154977	−	0.0194335i
$527$	19.9989	−	9.63098i	0.871167	−	0.419532i
$528$	0.310434	−	1.36010i	0.0135099	−	0.0591908i
$529$	−9.66374	+	12.1179i	−0.420162	+	0.526867i
$530$	−2.08680	+	9.14287i	−0.0906448	+	0.397141i
$531$	−22.7193	−	10.9410i	−0.985933	−	0.474800i
$532$	−3.05087	−	3.82566i	−0.132272	−	0.165864i
$533$	16.7551	+	21.0103i	0.725746	+	0.910056i
$534$	−1.15981	−	5.08146i	−0.0501899	−	0.219896i
$535$	−6.25458	−	3.01205i	−0.270409	−	0.130222i
$536$	−5.87598	+	2.82972i	−0.253804	+	0.122225i
$537$	0.546749	+	2.39547i	0.0235940	+	0.103372i
$538$	1.44641	+	6.33715i	0.0623593	+	0.273214i
$539$	9.68135	−	4.66229i	0.417005	−	0.200819i
$540$	4.02262	+	1.93719i	0.173106	+	0.0833635i
$541$	5.77001	+	25.2801i	0.248072	+	1.08688i	0.933456	+	0.358693i	$0.116778\pi$
$541$	5.77001	+	25.2801i	0.248072	+	1.08688i	−0.685383	+	0.728183i	$0.740365\pi$
$542$	−1.10588	−	1.38672i	−0.0475014	−	0.0595649i
$543$	6.29784	+	7.89725i	0.270266	+	0.338903i
$544$	6.79827	+	3.27387i	0.291473	+	0.140366i
$545$	−3.37892	+	14.8040i	−0.144737	+	0.634134i
$546$	2.33176	−	2.92394i	0.0997903	−	0.125133i
$547$	6.17264	−	27.0441i	0.263923	−	1.15632i	−0.653031	−	0.757331i	$-0.726503\pi$
$547$	6.17264	−	27.0441i	0.263923	−	1.15632i	0.916955	−	0.398992i	$-0.130640\pi$
$548$	−1.82549	+	0.879108i	−0.0779809	+	0.0375536i
$549$	−11.8977	−	14.9193i	−0.507782	−	0.636739i
$550$	1.48834	−	0.716746i	0.0634629	−	0.0305621i
$551$	26.1128	−	32.7445i	1.11244	−	1.39496i
$552$	2.31288			0.0984429
$553$	−9.53488			−0.405464
$554$	−4.64566	+	5.82547i	−0.197375	+	0.247501i
$555$	4.30514	+	2.07325i	0.182743	+	0.0880044i
$556$	4.20142	+	18.4076i	0.178180	+	0.780657i
$557$	5.31629	−	23.2922i	0.225258	−	0.986921i	−0.728193	−	0.685372i	$-0.759639\pi$
$557$	5.31629	−	23.2922i	0.225258	−	0.986921i	0.953451	−	0.301548i	$-0.0975035\pi$
$558$	−6.72722			−0.284786
$559$	−35.2038	+	21.5314i	−1.48896	+	0.910682i
$560$	−0.703699			−0.0297367
$561$	2.34238	−	10.2627i	0.0988955	−	0.433290i
$562$	2.21654	+	9.71131i	0.0934992	+	0.409647i
$563$	−0.994811	−	0.479076i	−0.0419263	−	0.0201906i	0.412803	−	0.910820i	$-0.364550\pi$
$563$	−0.994811	−	0.479076i	−0.0419263	−	0.0201906i	−0.454729	+	0.890630i	$0.650264\pi$
$564$	−1.48508	+	1.86223i	−0.0625331	+	0.0784140i
$565$	17.4051			0.732239
$566$	−5.03637			−0.211695
$567$	1.35566	−	1.69994i	0.0569323	−	0.0713908i
$568$	2.14016	−	1.03065i	0.0897992	−	0.0432450i
$569$	7.41063	+	9.29264i	0.310670	+	0.389568i	0.912514	−	0.409046i	$-0.134138\pi$
$569$	7.41063	+	9.29264i	0.310670	+	0.389568i	−0.601844	+	0.798614i	$0.705567\pi$
$570$	−5.29082	+	2.54793i	−0.221608	+	0.106721i
$571$	3.49541	−	15.3144i	0.146278	−	0.640887i	−0.847622	−	0.530601i	$-0.821966\pi$
$571$	3.49541	−	15.3144i	0.146278	−	0.640887i	0.993900	−	0.110286i	$-0.0351767\pi$
$572$	6.48160	−	8.12767i	0.271009	−	0.339835i
$573$	3.35756	−	14.7105i	0.140264	−	0.614538i
$574$	2.70741	+	1.30382i	0.113005	+	0.0544204i
$575$	1.70756	+	2.14122i	0.0712103	+	0.0892948i
$576$	−1.42579	−	1.78789i	−0.0594081	−	0.0744954i
$577$	0.657205	+	2.87940i	0.0273598	+	0.119871i	0.986764	−	0.162164i	$-0.0518475\pi$
$577$	0.657205	+	2.87940i	0.0273598	+	0.119871i	−0.959404	+	0.282036i	$0.908990\pi$
$578$	35.9799	+	17.3270i	1.49657	+	0.720709i
$579$	18.8754	−	9.08992i	0.784436	−	0.377764i
$580$	−1.34026	−	5.87206i	−0.0556513	−	0.243824i
$581$	2.72799	+	11.9521i	0.113176	+	0.495857i
$582$	−11.4733	+	5.52527i	−0.475585	+	0.229030i
$583$	−13.9576	−	6.72164i	−0.578066	−	0.278382i
$584$	1.42552	+	6.24562i	0.0589885	+	0.258446i
$585$	8.97260	+	11.2513i	0.370971	+	0.465183i
$586$	2.89767	+	3.63356i	0.119702	+	0.150101i
$587$	30.9006	+	14.8810i	1.27541	+	0.614203i	0.944205	−	0.329357i	$-0.106832\pi$
$587$	30.9006	+	14.8810i	1.27541	+	0.614203i	0.331201	+	0.943560i	$0.392546\pi$
$588$	−1.22240	+	5.35567i	−0.0504108	+	0.220864i
$589$	12.7539	−	15.9929i	0.525517	−	0.658977i
$590$	2.45374	−	10.7505i	0.101019	−	0.442593i
$591$	4.19944	−	2.02234i	0.172742	−	0.0831881i
$592$	−3.52777	−	4.42368i	−0.144990	−	0.181812i
$593$	11.3675	−	5.47428i	0.466806	−	0.224802i	−0.185669	−	0.982612i	$-0.559445\pi$
$593$	11.3675	−	5.47428i	0.466806	−	0.224802i	0.652475	+	0.757810i	$0.273731\pi$
$594$	−4.59855	+	5.76639i	−0.188681	+	0.236598i
$595$	−5.30977			−0.217679
$596$	−7.24226			−0.296654
$597$	12.0688	−	15.1338i	0.493942	−	0.619384i
$598$	15.5281	+	7.47794i	0.634991	+	0.305796i
$599$	9.77891	+	42.8442i	0.399555	+	1.75057i	0.629154	+	0.777281i	$0.283402\pi$
$599$	9.77891	+	42.8442i	0.399555	+	1.75057i	−0.229598	+	0.973286i	$0.573741\pi$
$600$	−0.187922	+	0.823340i	−0.00767189	+	0.0336127i
$601$	−4.06571			−0.165844			−0.0829218	−	0.996556i	$-0.526425\pi$
$601$	−4.06571			−0.165844			−0.0829218	+	0.996556i	$0.526425\pi$
$602$	−2.50205	+	3.87724i	−0.101976	+	0.158025i
$603$	14.9141			0.607351
$604$	1.77017	−	7.75562i	0.0720272	−	0.315572i
$605$	−1.84050	−	8.06375i	−0.0748269	−	0.327838i
$606$	4.96222	+	2.38968i	0.201576	+	0.0970741i
$607$	20.2553	−	25.3993i	0.822136	−	1.03093i	−0.176774	−	0.984252i	$-0.556566\pi$
$607$	20.2553	−	25.3993i	0.822136	−	1.03093i	0.998910	−	0.0466749i	$-0.0148625\pi$
$608$	6.95355			0.282004
$609$	3.57942			0.145045
$610$	5.20279	−	6.52409i	0.210655	−	0.264153i
$611$	−15.9913	+	7.70101i	−0.646940	+	0.311550i
$612$	−10.7583	−	13.4905i	−0.434880	−	0.545323i
$613$	−6.33201	+	3.04933i	−0.255747	+	0.123161i	−0.557365	−	0.830268i	$-0.688188\pi$
$613$	−6.33201	+	3.04933i	−0.255747	+	0.123161i	0.301618	+	0.953429i	$0.402473\pi$
$614$	1.57670	−	6.90797i	0.0636304	−	0.278783i
$615$	2.24850	−	2.81954i	0.0906684	−	0.113695i
$616$	0.258672	−	1.13332i	0.0104222	−	0.0456626i
$617$	5.19892	+	2.50367i	0.209301	+	0.100794i	0.535597	−	0.844474i	$-0.320087\pi$
$617$	5.19892	+	2.50367i	0.209301	+	0.100794i	−0.326297	+	0.945267i	$0.605801\pi$
$618$	2.84669	+	3.56964i	0.114511	+	0.143592i
$619$	21.3974	+	26.8315i	0.860035	+	1.07845i	0.996142	+	0.0877556i	$0.0279695\pi$
$619$	21.3974	+	26.8315i	0.860035	+	1.07845i	−0.136107	+	0.990694i	$0.543459\pi$
$620$	−0.654605	−	2.86801i	−0.0262896	−	0.115182i
$621$	−11.0168	−	5.30542i	−0.442090	−	0.212899i
$622$	−14.3750	+	6.92263i	−0.576385	+	0.277572i
$623$	−0.966422	−	4.23417i	−0.0387189	−	0.169639i
$624$	1.18260	+	5.18132i	0.0473420	+	0.207419i
$625$	−0.900969	+	0.433884i	−0.0360388	+	0.0173553i
$626$	8.08398	+	3.89304i	0.323101	+	0.155597i
$627$	−2.15862	−	9.45753i	−0.0862070	−	0.377697i
$628$	−3.77425	−	4.73276i	−0.150609	−	0.188858i
$629$	−26.6188	−	33.3789i	−1.06136	−	1.33090i
$630$	1.44985	+	0.698213i	0.0577636	+	0.0278175i
$631$	−2.18113	+	9.55614i	−0.0868293	+	0.380424i	−0.999607	−	0.0280326i	$-0.991076\pi$
$631$	−2.18113	+	9.55614i	−0.0868293	+	0.380424i	0.912778	+	0.408457i	$0.133933\pi$
$632$	8.44807	−	10.5935i	0.336046	−	0.421388i
$633$	−1.12089	+	4.91093i	−0.0445513	+	0.195192i
$634$	2.31235	−	1.11357i	0.0918353	−	0.0442255i
$635$	−12.2287	−	15.3343i	−0.485283	−	0.608525i
$636$	7.13554	−	3.43629i	0.282943	−	0.136258i
$637$	−25.5226	+	32.0043i	−1.01124	+	1.26806i
$638$	9.94970			0.393912
$639$	−5.43206			−0.214889
$640$	0.623490	−	0.781831i	0.0246456	−	0.0309046i
$641$	19.8031	+	9.53667i	0.782175	+	0.376676i	0.781964	−	0.623324i	$-0.214218\pi$
$641$	19.8031	+	9.53667i	0.782175	+	0.376676i	0.000211804		1.00000i	$0.499933\pi$
$642$	1.30457	+	5.71568i	0.0514871	+	0.225580i
$643$	3.70348	−	16.2260i	0.146051	−	0.639892i	−0.847908	−	0.530143i	$-0.822138\pi$
$643$	3.70348	−	16.2260i	0.146051	−	0.639892i	0.993959	−	0.109749i	$-0.0350046\pi$
$644$	1.92723			0.0759436
$645$	3.86827	+	3.96286i	0.152313	+	0.156037i
$646$	52.4681			2.06433
$647$	8.38392	−	36.7324i	0.329606	−	1.44410i	−0.490277	−	0.871567i	$-0.663104\pi$
$647$	8.38392	−	36.7324i	0.329606	−	1.44410i	0.819883	−	0.572531i	$-0.194038\pi$
$648$	0.687551	+	3.01236i	0.0270095	+	0.118337i
$649$	16.4119	+	7.90356i	0.644224	+	0.310242i
$650$	−3.92365	+	4.92011i	−0.153898	+	0.192982i
$651$	1.74824			0.0685191
$652$	−10.2969			−0.403256
$653$	−18.6139	+	23.3410i	−0.728416	+	0.913405i	−0.998781	−	0.0493526i	$-0.984284\pi$
$653$	−18.6139	+	23.3410i	−0.728416	+	0.913405i	0.270365	+	0.962758i	$0.412856\pi$
$654$	11.5538	−	5.56400i	0.451788	−	0.217570i
$655$	−1.11791	−	1.40182i	−0.0436805	−	0.0547737i
$656$	−3.84740	+	1.85281i	−0.150216	+	0.0723401i
$657$	3.25988	−	14.2825i	0.127180	−	0.557212i
$658$	−1.23746	+	1.55172i	−0.0482410	+	0.0604924i
$659$	9.41125	−	41.2334i	0.366610	−	1.60622i	−0.369411	−	0.929266i	$-0.620440\pi$
$659$	9.41125	−	41.2334i	0.366610	−	1.60622i	0.736021	−	0.676959i	$-0.236702\pi$
$660$	−1.25692	−	0.605302i	−0.0489256	−	0.0235613i
$661$	2.13754	+	2.68039i	0.0831406	+	0.104255i	0.821662	−	0.569975i	$-0.193047\pi$
$661$	2.13754	+	2.68039i	0.0831406	+	0.104255i	−0.738521	+	0.674230i	$0.764476\pi$
$662$	20.8228	+	26.1109i	0.809300	+	1.01483i
$663$	8.92334	+	39.0957i	0.346554	+	1.51835i
$664$	−15.6962	−	7.55889i	−0.609131	−	0.293342i
$665$	−4.40863	+	2.12308i	−0.170959	+	0.0823296i
$666$	2.87918	+	12.6145i	0.111566	+	0.488802i
$667$	3.67059	+	16.0819i	0.142126	+	0.622694i
$668$	16.1693	−	7.78675i	0.625611	−	0.301278i
$669$	19.8523	+	9.56035i	0.767533	+	0.369624i
$670$	1.45125	+	6.35833i	0.0560666	+	0.245644i
$671$	8.59465	+	10.7773i	0.331793	+	0.416055i
$672$	0.370530	+	0.464630i	0.0142935	+	0.0179235i
$673$	−9.62514	−	4.63522i	−0.371022	−	0.178675i	0.239076	−	0.971001i	$-0.423156\pi$
$673$	−9.62514	−	4.63522i	−0.371022	−	0.178675i	−0.610098	+	0.792326i	$0.708870\pi$
$674$	5.91634	−	25.9212i	0.227889	−	0.998447i
$675$	2.78374	−	3.49070i	0.107146	−	0.134357i
$676$	−5.91961	+	25.9355i	−0.227677	+	0.997520i
$677$	10.0644	−	4.84677i	0.386807	−	0.186276i	−0.230366	−	0.973104i	$-0.573992\pi$
$677$	10.0644	−	4.84677i	0.386807	−	0.186276i	0.617173	+	0.786828i	$0.288278\pi$
$678$	−9.16459	−	11.4920i	−0.351964	−	0.441349i
$679$	−9.56027	+	4.60398i	−0.366889	+	0.176685i
$680$	4.70455	−	5.89932i	0.180411	−	0.226229i
$681$	−14.9529			−0.572996
$682$	4.85959			0.186084
$683$	−2.06046	+	2.58374i	−0.0788415	+	0.0988641i	−0.819688	−	0.572810i	$-0.805853\pi$
$683$	−2.06046	+	2.58374i	−0.0788415	+	0.0988641i	0.740846	+	0.671674i	$0.234425\pi$
$684$	−14.3266	−	6.89934i	−0.547792	−	0.263803i
$685$	0.450858	+	1.97534i	0.0172264	+	0.0754738i
$686$	−2.11469	+	9.26505i	−0.0807392	+	0.353741i
$687$	1.40102			0.0534523
$688$	−2.09088	−	6.21516i	−0.0797140	−	0.236951i
$689$	59.0162			2.24834
$690$	0.514665	−	2.25490i	0.0195930	−	0.0858424i
$691$	−8.99245	−	39.3985i	−0.342089	−	1.49879i	−0.794657	−	0.607059i	$-0.792349\pi$
$691$	−8.99245	−	39.3985i	−0.342089	−	1.49879i	0.452568	−	0.891730i	$-0.350508\pi$
$692$	9.60544	+	4.62573i	0.365144	+	0.175844i
$693$	−1.65743	+	2.07835i	−0.0629606	+	0.0789501i
$694$	−13.1245			−0.498200
$695$	18.8810			0.716198
$696$	−3.17142	+	3.97684i	−0.120213	+	0.150742i
$697$	−29.0306	+	13.9804i	−1.09961	+	0.529545i
$698$	−20.9472	−	26.2669i	−0.792862	−	0.994218i
$699$	0.859090	−	0.413716i	0.0324938	−	0.0156482i
$700$	−0.156588	+	0.686056i	−0.00591846	+	0.0259305i
$701$	19.4693	−	24.4137i	0.735344	−	0.922092i	−0.263753	−	0.964590i	$-0.584960\pi$
$701$	19.4693	−	24.4137i	0.735344	−	0.922092i	0.999097	+	0.0424982i	$0.0135317\pi$
$702$	6.25218	−	27.3926i	0.235973	−	1.03387i
$703$	−35.4476	−	17.0707i	−1.33693	−	0.643832i
$704$	1.02996	+	1.29153i	0.0388181	+	0.0486764i
$705$	1.48508	+	1.86223i	0.0559313	+	0.0701356i
$706$	−1.81979	−	7.97302i	−0.0684887	−	0.300068i
$707$	4.13482	+	1.99122i	0.155506	+	0.0748876i
$708$	−8.39024	+	4.04053i	−0.315324	+	0.151852i
$709$	−0.784744	−	3.43819i	−0.0294717	−	0.129124i	0.958052	−	0.286594i	$-0.0925232\pi$
$709$	−0.784744	−	3.43819i	−0.0294717	−	0.129124i	−0.987524	+	0.157471i	$0.949666\pi$
$710$	−0.528576	−	2.31584i	−0.0198371	−	0.0869121i
$711$	−27.9168	+	13.4440i	−1.04696	+	0.504190i
$712$	5.56056	+	2.67783i	0.208391	+	0.100356i
$713$	1.79278	+	7.85467i	0.0671400	+	0.294160i
$714$	2.79584	+	3.50587i	0.104632	+	0.131204i
$715$	−6.48160	−	8.12767i	−0.242398	−	0.303958i
$716$	−2.62132	−	1.26236i	−0.0979634	−	0.0471767i
$717$	−1.69667	+	7.43361i	−0.0633634	+	0.277613i
$718$	9.36392	−	11.7420i	0.349459	−	0.438207i
$719$	7.15014	−	31.3268i	0.266655	−	1.16829i	−0.647222	−	0.762302i	$-0.724069\pi$
$719$	7.15014	−	31.3268i	0.266655	−	1.16829i	0.913877	−	0.405991i	$-0.133074\pi$
$720$	−2.06033	+	0.992204i	−0.0767840	+	0.0369772i
$721$	2.37203	+	2.97443i	0.0883390	+	0.110774i
$722$	26.4451	−	12.7353i	0.984185	−	0.473959i
$723$	−3.90948	+	4.90234i	−0.145395	+	0.182320i
$724$	−11.9607			−0.444515
$725$	−6.02307			−0.223691
$726$	−4.35513	+	5.46116i	−0.161634	+	0.202683i
$727$	24.6462	+	11.8690i	0.914076	+	0.440196i	0.830952	−	0.556343i	$-0.187796\pi$
$727$	24.6462	+	11.8690i	0.914076	+	0.440196i	0.0831235	+	0.996539i	$0.473510\pi$
$728$	0.985415	+	4.31739i	0.0365219	+	0.160013i
$729$	−0.944800	+	4.13944i	−0.0349926	+	0.153313i
$730$	6.40624			0.237105
$731$	−15.7767	−	46.8966i	−0.583524	−	1.73453i
$732$	−7.04715			−0.260470
$733$	4.67675	−	20.4902i	0.172740	−	0.756822i	−0.812123	−	0.583486i	$-0.801688\pi$
$733$	4.67675	−	20.4902i	0.172740	−	0.756822i	0.984863	−	0.173336i	$-0.0554547\pi$
$734$	1.70073	+	7.45140i	0.0627752	+	0.275036i
$735$	4.94938	+	2.38350i	0.182561	+	0.0879166i
$736$	−1.70756	+	2.14122i	−0.0629416	+	0.0789262i
$737$	−10.7736			−0.396852
$738$	9.76528			0.359465
$739$	14.5694	−	18.2695i	0.535944	−	0.672053i	−0.437965	−	0.898992i	$-0.644300\pi$
$739$	14.5694	−	18.2695i	0.535944	−	0.672053i	0.973909	+	0.226939i	$0.0728719\pi$
$740$	−5.09777	+	2.45496i	−0.187398	+	0.0902460i
$741$	23.0412	+	28.8927i	0.846438	+	1.06140i
$742$	5.94576	−	2.86332i	0.218276	−	0.105116i
$743$	2.66475	−	11.6750i	0.0977603	−	0.428316i	−0.902235	−	0.431244i	$-0.858075\pi$
$743$	2.66475	−	11.6750i	0.0977603	−	0.428316i	0.999996	+	0.00292803i	$0.000932023\pi$
$744$	−1.54898	+	1.94235i	−0.0567882	+	0.0712101i
$745$	−1.61155	+	7.06068i	−0.0590428	+	0.258683i
$746$	30.0583	+	14.4753i	1.10051	+	0.529979i
$747$	24.8394	+	31.1476i	0.908827	+	1.13963i
$748$	7.77159	+	9.74526i	0.284157	+	0.356322i
$749$	1.08704	+	4.76264i	0.0397197	+	0.174023i
$750$	0.760881	+	0.366421i	0.0277834	+	0.0133798i
$751$	−0.559445	+	0.269414i	−0.0204144	+	0.00983107i	−0.444063	−	0.895996i	$-0.646463\pi$
$751$	−0.559445	+	0.269414i	−0.0204144	+	0.00983107i	0.423649	+	0.905827i	$0.360749\pi$
$752$	−0.627602	−	2.74970i	−0.0228863	−	0.100271i
$753$	−1.07653	−	4.71658i	−0.0392309	−	0.171882i
$754$	−34.1499	+	16.4457i	−1.24367	+	0.598918i
$755$	−7.16727	−	3.45158i	−0.260844	−	0.125616i
$756$	−0.699129	−	3.06308i	−0.0254271	−	0.111403i
$757$	7.51601	+	9.42477i	0.273174	+	0.342549i	0.899427	−	0.437070i	$-0.143984\pi$
$757$	7.51601	+	9.42477i	0.273174	+	0.342549i	−0.626253	+	0.779620i	$0.715412\pi$
$758$	8.96937	+	11.2472i	0.325782	+	0.408518i
$759$	3.44235	+	1.65775i	0.124950	+	0.0601725i
$760$	1.54731	−	6.77921i	0.0561269	−	0.245908i
$761$	29.0305	−	36.4031i	1.05236	−	1.31961i	0.106755	−	0.994285i	$-0.465954\pi$
$761$	29.0305	−	36.4031i	1.05236	−	1.31961i	0.945601	−	0.325327i	$-0.105475\pi$
$762$	−3.68578	+	16.1485i	−0.133522	+	0.584998i
$763$	9.62728	−	4.63625i	0.348531	−	0.167844i
$764$	11.1398	+	13.9688i	0.403023	+	0.505374i
$765$	−15.5463	+	7.48668i	−0.562076	+	0.270682i
$766$	−12.0370	+	15.0939i	−0.434915	+	0.545366i
$767$	−69.3935			−2.50565
$768$	−0.844514			−0.0304738
$769$	−12.5658	+	15.7570i	−0.453134	+	0.568212i	−0.954952	−	0.296761i	$-0.904093\pi$
$769$	−12.5658	+	15.7570i	−0.453134	+	0.568212i	0.501818	+	0.864973i	$0.332665\pi$
$770$	−1.04734	−	0.504373i	−0.0377436	−	0.0181764i
$771$	−4.09477	−	17.9404i	−0.147469	−	0.646106i
$772$	−5.52015	+	24.1854i	−0.198675	+	0.870450i
$773$	20.0618			0.721573			0.360786	−	0.932648i	$-0.382508\pi$
$773$	20.0618			0.721573			0.360786	+	0.932648i	$0.382508\pi$
$774$	−1.85880	+	14.8799i	−0.0668133	+	0.534846i
$775$	−2.94177			−0.105671
$776$	3.35540	−	14.7010i	0.120452	−	0.527734i
$777$	−0.748230	−	3.27821i	−0.0268426	−	0.117605i
$778$	−2.78592	−	1.34163i	−0.0998801	−	0.0480997i
$779$	−18.5137	+	23.2155i	−0.663322	+	0.831780i
$780$	5.31457			0.190292
$781$	3.92400			0.140412
$782$	−12.8844	+	16.1566i	−0.460746	+	0.577757i
$783$	24.2285	−	11.6679i	0.865858	−	0.416975i
$784$	−4.05568	−	5.08566i	−0.144846	−	0.181631i
$785$	−5.45395	+	2.62649i	−0.194660	+	0.0937433i
$786$	−0.336944	+	1.47625i	−0.0120184	+	0.0526559i
$787$	1.84461	−	2.31307i	0.0657532	−	0.0824519i	−0.747867	−	0.663848i	$-0.768922\pi$
$787$	1.84461	−	2.31307i	0.0657532	−	0.0824519i	0.813620	+	0.581396i	$0.197493\pi$
$788$	−1.22813	+	5.38080i	−0.0437504	+	0.191683i
$789$	0.433757	+	0.208886i	0.0154422	+	0.00743655i
$790$	−8.44807	−	10.5935i	−0.300569	−	0.376901i
$791$	−7.63648	−	9.57585i	−0.271522	−	0.340478i
$792$	−0.840601	−	3.68292i	−0.0298695	−	0.130867i
$793$	−47.3127	−	22.7846i	−1.68012	−	0.809105i
$794$	−16.6040	+	7.99605i	−0.589253	+	0.283769i
$795$	−1.76233	−	7.72128i	−0.0625035	−	0.273846i
$796$	5.10033	+	22.3460i	0.180776	+	0.792033i
$797$	8.86247	−	4.26794i	0.313925	−	0.151178i	−0.270286	−	0.962780i	$-0.587118\pi$
$797$	8.86247	−	4.26794i	0.313925	−	0.151178i	0.584211	+	0.811602i	$0.301404\pi$
$798$	3.72315	+	1.79297i	0.131798	+	0.0634706i
$799$	−4.73558	−	20.7479i	−0.167533	−	0.734008i
$800$	−0.623490	−	0.781831i	−0.0220437	−	0.0276419i
$801$	−8.79966	−	11.0344i	−0.310921	−	0.389882i
$802$	15.7637	+	7.59141i	0.556636	+	0.268062i
$803$	−2.35486	+	10.3173i	−0.0831013	+	0.364091i
$804$	3.43405	−	4.30617i	0.121110	−	0.151867i
$805$	0.428850	−	1.87891i	0.0151150	−	0.0662230i
$806$	−16.6794	+	8.03236i	−0.587505	+	0.282928i
$807$	−3.42261	−	4.29182i	−0.120482	−	0.151079i
$808$	−5.87583	+	2.82965i	−0.206711	+	0.0995467i
$809$	−9.38219	+	11.7649i	−0.329860	+	0.413632i	−0.918911	−	0.394464i	$-0.870930\pi$
$809$	−9.38219	+	11.7649i	−0.329860	+	0.413632i	0.589051	+	0.808096i	$0.299502\pi$
$810$	3.08982			0.108565
$811$	−14.4434			−0.507177			−0.253588	−	0.967312i	$-0.581611\pi$
$811$	−14.4434			−0.507177			−0.253588	+	0.967312i	$0.581611\pi$
$812$	−2.64262	+	3.31374i	−0.0927378	+	0.116289i
$813$	1.34956	+	0.649916i	0.0473313	+	0.0227935i
$814$	−2.07986	−	9.11244i	−0.0728989	−	0.319391i
$815$	−2.29127	+	10.0387i	−0.0802596	+	0.351640i
$816$	−6.37229			−0.223075
$817$	−31.8506	−	32.6293i	−1.11431	−	1.14156i
$818$	1.72027			0.0601479
$819$	2.25344	−	9.87298i	0.0787417	−	0.344990i
$820$	0.950229	+	4.16323i	0.0331834	+	0.145386i
$821$	2.33757	+	1.12571i	0.0815818	+	0.0392877i	0.474230	−	0.880401i	$-0.342727\pi$
$821$	2.33757	+	1.12571i	0.0815818	+	0.0392877i	−0.392648	+	0.919689i	$0.628441\pi$
$822$	1.06685	−	1.33779i	0.0372108	−	0.0466609i
$823$	36.5875			1.27536			0.637680	−	0.770301i	$-0.279894\pi$
$823$	36.5875			1.27536			0.637680	+	0.770301i	$0.279894\pi$
$824$	−5.40635			−0.188339
$825$	−0.869817	+	1.09072i	−0.0302831	+	0.0379739i
$826$	−6.99124	+	3.36681i	−0.243256	+	0.117146i
$827$	12.8139	+	16.0682i	0.445584	+	0.558745i	0.953005	−	0.302953i	$-0.0979727\pi$
$827$	12.8139	+	16.0682i	0.445584	+	0.558745i	−0.507421	+	0.861698i	$0.669401\pi$
$828$	5.64267	−	2.71736i	0.196096	−	0.0944350i
$829$	−5.11411	+	22.4064i	−0.177621	+	0.778206i	0.805104	+	0.593133i	$0.202109\pi$
$829$	−5.11411	+	22.4064i	−0.177621	+	0.778206i	−0.982725	+	0.185073i	$0.940748\pi$
$830$	−10.8621	+	13.6206i	−0.377029	+	0.472780i
$831$	1.40022	−	6.13476i	0.0485730	−	0.212812i
$832$	−5.66984	−	2.73045i	−0.196566	−	0.0946614i
$833$	−30.6022	−	38.3739i	−1.06030	−	1.32958i
$834$	−9.94172	−	12.4665i	−0.344254	−	0.431680i
$835$	−3.99350	−	17.4967i	−0.138201	−	0.605497i
$836$	10.3492	+	4.98393i	0.357936	+	0.172373i
$837$	11.8336	−	5.69877i	0.409030	−	0.196978i
$838$	4.62446	+	20.2611i	0.159749	+	0.699907i
$839$	−7.64623	−	33.5003i	−0.263977	−	1.15656i	−0.916894	−	0.399131i	$-0.869312\pi$
$839$	−7.64623	−	33.5003i	−0.263977	−	1.15656i	0.652917	−	0.757430i	$-0.273545\pi$
$840$	0.535431	−	0.257850i	0.0184741	−	0.00889667i
$841$	−6.55673	−	3.15755i	−0.226094	−	0.108881i
$842$	−5.93487	−	26.0024i	−0.204529	−	0.896101i
$843$	−5.24495	−	6.57696i	−0.180646	−	0.226523i
$844$	−3.71890	−	4.66335i	−0.128010	−	0.160519i
$845$	23.9680	+	11.5424i	0.824525	+	0.397070i
$846$	−1.43520	+	6.28801i	−0.0493431	+	0.216186i
$847$	−3.62895	+	4.55056i	−0.124692	+	0.156359i
$848$	−2.08680	+	9.14287i	−0.0716610	+	0.313968i
$849$	3.83208	−	1.84543i	0.131517	−	0.0633351i
$850$	−4.70455	−	5.89932i	−0.161365	−	0.202345i
$851$	13.9614	−	6.72343i	0.478589	−	0.230476i
$852$	−1.25076	+	1.56840i	−0.0428502	+	0.0537325i
$853$	7.56444			0.259001			0.129501	−	0.991579i	$-0.458663\pi$
$853$	7.56444			0.259001			0.129501	+	0.991579i	$0.458663\pi$
$854$	−5.87211			−0.200939
$855$	−9.91433	+	12.4322i	−0.339063	+	0.425172i
$856$	−6.25458	−	3.01205i	−0.213777	−	0.102950i
$857$	4.36963	+	19.1446i	0.149264	+	0.653967i	0.993090	+	0.117351i	$0.0374404\pi$
$857$	4.36963	+	19.1446i	0.149264	+	0.653967i	−0.843827	+	0.536616i	$0.819703\pi$
$858$	−1.95358	+	8.55919i	−0.0666941	+	0.292206i
$859$	3.15765			0.107738			0.0538688	−	0.998548i	$-0.482845\pi$
$859$	3.15765			0.107738			0.0538688	+	0.998548i	$0.482845\pi$
$860$	−6.52460	+	0.655451i	−0.222487	+	0.0223507i
$861$	−2.53777			−0.0864868
$862$	−0.977335	+	4.28199i	−0.0332882	+	0.145845i
$863$	5.48341	+	24.0244i	0.186658	+	0.817800i	0.978363	+	0.206897i	$0.0663365\pi$
$863$	5.48341	+	24.0244i	0.186658	+	0.817800i	−0.791705	+	0.610903i	$0.790806\pi$
$864$	4.02262	+	1.93719i	0.136852	+	0.0659046i
$865$	6.64717	−	8.33529i	0.226011	−	0.283408i
$866$	16.6681			0.566404
$867$	−33.7254			−1.14538
$868$	−1.29070	+	1.61848i	−0.0438092	+	0.0549349i
$869$	20.1665	−	9.71165i	0.684100	−	0.329445i
$870$	3.17142	+	3.97684i	0.107521	+	0.134828i
$871$	36.9779	−	17.8076i	1.25295	−	0.603388i
$872$	−3.37892	+	14.8040i	−0.114425	+	0.501327i
$873$	−21.4996	+	26.9596i	−0.727651	+	0.912445i
$874$	−4.23765	+	18.5663i	−0.143341	+	0.628016i
$875$	0.634011	+	0.305324i	0.0214335	+	0.0103218i
$876$	−3.37318	−	4.22983i	−0.113969	−	0.142913i
$877$	−6.97592	−	8.74753i	−0.235560	−	0.295383i	0.649975	−	0.759956i	$-0.274779\pi$
$877$	−6.97592	−	8.74753i	−0.235560	−	0.295383i	−0.885535	+	0.464573i	$0.846208\pi$
$878$	0.781981	+	3.42608i	0.0263906	+	0.115625i
$879$	−3.53620	−	1.70294i	−0.119273	−	0.0574388i
$880$	1.48834	−	0.716746i	0.0501719	−	0.0241615i
$881$	9.61014	+	42.1048i	0.323774	+	1.41855i	0.830779	+	0.556602i	$0.187895\pi$
$881$	9.61014	+	42.1048i	0.323774	+	1.41855i	−0.507005	+	0.861943i	$0.669248\pi$
$882$	3.31004	+	14.5022i	0.111455	+	0.488315i
$883$	7.45085	−	3.58814i	0.250741	−	0.120751i	−0.304292	−	0.952579i	$-0.598420\pi$
$883$	7.45085	−	3.58814i	0.250741	−	0.120751i	0.555033	+	0.831828i	$0.312706\pi$
$884$	−42.7819	−	20.6027i	−1.43891	−	0.692942i
$885$	2.07222	+	9.07898i	0.0696568	+	0.305187i
$886$	−18.1537	−	22.7640i	−0.609885	−	0.764772i
$887$	−29.6272	−	37.1514i	−0.994786	−	1.24742i	−0.968822	−	0.247759i	$-0.920306\pi$
$887$	−29.6272	−	37.1514i	−0.994786	−	1.24742i	−0.0259639	−	0.999663i	$-0.508265\pi$
$888$	4.30514	+	2.07325i	0.144471	+	0.0695736i
$889$	−3.07121	+	13.4559i	−0.103005	+	0.451295i
$890$	3.84803	−	4.82528i	0.128986	−	0.161744i
$891$	−1.13579	+	4.97620i	−0.0380503	+	0.166709i
$892$	−23.5073	+	11.3205i	−0.787083	+	0.379039i
$893$	−12.2278	−	15.3332i	−0.409189	−	0.513106i
$894$	5.51049	−	2.65371i	0.184298	−	0.0887535i
$895$	−1.81401	+	2.27470i	−0.0606357	+	0.0760348i
$896$	−0.703699			−0.0235089
$897$	−14.5551			−0.485981
$898$	−0.125655	+	0.157566i	−0.00419315	+	0.00525804i
$899$	−15.9638	−	7.68776i	−0.532423	−	0.256401i
$900$	0.508860	+	2.22946i	0.0169620	+	0.0743154i
$901$	−15.7460	+	68.9876i	−0.524575	+	2.29831i
$902$	−7.05422			−0.234880
$903$	0.483059	−	3.86692i	0.0160752	−	0.128683i
$904$	17.4051			0.578886
$905$	−2.66150	+	11.6608i	−0.0884713	+	0.387618i
$906$	1.49493	+	6.54973i	0.0496658	+	0.217600i
$907$	9.47314	+	4.56202i	0.314550	+	0.151480i	0.584497	−	0.811396i	$-0.301292\pi$
$907$	9.47314	+	4.56202i	0.314550	+	0.151480i	−0.269947	+	0.962875i	$0.587006\pi$
$908$	11.0395	−	13.8430i	0.366357	−	0.459397i
$909$	14.9137			0.494658
$910$	4.42842			0.146801
$911$	12.9960	−	16.2964i	0.430575	−	0.539924i	−0.518457	−	0.855104i	$-0.673493\pi$
$911$	12.9960	−	16.2964i	0.430575	−	0.539924i	0.949032	+	0.315179i	$0.102065\pi$
$912$	−5.29082	+	2.54793i	−0.175197	+	0.0843703i
$913$	−17.9434	−	22.5004i	−0.593841	−	0.744653i
$914$	8.95371	−	4.31188i	0.296163	−	0.142624i
$915$	−1.56814	+	6.87047i	−0.0518411	+	0.227131i
$916$	−1.03435	+	1.29703i	−0.0341758	+	0.0428552i
$917$	−0.280761	+	1.23010i	−0.00927156	+	0.0406213i
$918$	30.3527	+	14.6171i	1.00179	+	0.482436i
$919$	−0.343487	−	0.430719i	−0.0113306	−	0.0142081i	0.776134	−	0.630568i	$-0.217178\pi$
$919$	−0.343487	−	0.430719i	−0.0113306	−	0.0142081i	−0.787464	+	0.616360i	$0.788607\pi$
$920$	1.70756	+	2.14122i	0.0562967	+	0.0705938i
$921$	1.33154	+	5.83388i	0.0438759	+	0.192233i
$922$	3.79676	+	1.82842i	0.125040	+	0.0602159i
$923$	−13.4682	+	6.48592i	−0.443310	+	0.213487i
$924$	0.218452	+	0.957102i	0.00718655	+	0.0314863i
$925$	1.25905	+	5.51624i	0.0413972	+	0.181373i
$926$	−24.8637	+	11.9737i	−0.817073	+	0.393482i
$927$	11.1389	+	5.36420i	0.365848	+	0.176183i
$928$	−1.34026	−	5.87206i	−0.0439962	−	0.192760i
$929$	6.62496	+	8.30744i	0.217358	+	0.272558i	0.878542	−	0.477666i	$-0.158517\pi$
$929$	6.62496	+	8.30744i	0.217358	+	0.272558i	−0.661184	+	0.750224i	$0.729946\pi$
$930$	1.54898	+	1.94235i	0.0507929	+	0.0636923i
$931$	−40.7522	−	19.6252i	−1.33560	−	0.643190i
$932$	−0.251242	+	1.10077i	−0.00822972	+	0.0360568i
$933$	8.40106	−	10.5346i	0.275038	−	0.344887i
$934$	−0.922582	+	4.04209i	−0.0301878	+	0.132261i
$935$	11.2303	−	5.40821i	0.367269	−	0.176867i
$936$	8.97260	+	11.2513i	0.293278	+	0.367760i
$937$	−15.7200	+	7.57033i	−0.513548	+	0.247312i	−0.672664	−	0.739948i	$-0.734850\pi$
$937$	−15.7200	+	7.57033i	−0.513548	+	0.247312i	0.159116	+	0.987260i	$0.449136\pi$
$938$	2.86146	−	3.58815i	0.0934299	−	0.117157i
$939$	−7.57744			−0.247280
$940$	−2.82042			−0.0919918
$941$	−32.3945	+	40.6215i	−1.05603	+	1.32422i	−0.112240	+	0.993681i	$0.535803\pi$
$941$	−32.3945	+	40.6215i	−1.05603	+	1.32422i	−0.943792	+	0.330541i	$0.892769\pi$
$942$	4.60594	+	2.21810i	0.150070	+	0.0722697i
$943$	−2.60241	−	11.4019i	−0.0847461	−	0.371297i
$944$	2.45374	−	10.7505i	0.0798624	−	0.349900i
$945$	−3.14186			−0.102205
$946$	1.34276	−	10.7489i	0.0436568	−	0.349477i
$947$	−19.7231			−0.640914			−0.320457	−	0.947263i	$-0.603837\pi$
$947$	−19.7231			−0.640914			−0.320457	+	0.947263i	$0.603837\pi$
$948$	−2.54628	+	11.1560i	−0.0826993	+	0.362329i
$949$	−8.97088	−	39.3040i	−0.291207	−	1.27586i
$950$	−6.26493	−	3.01703i	−0.203261	−	0.0978855i
$951$	−1.35139	+	1.69459i	−0.0438218	+	0.0549508i
$952$	−5.30977			−0.172091
$953$	−46.5528			−1.50799			−0.753997	−	0.656877i	$-0.771877\pi$
$953$	−46.5528			−1.50799			−0.753997	+	0.656877i	$0.771877\pi$
$954$	13.3711	−	16.7668i	0.432905	−	0.542846i
$955$	16.0974	−	7.75211i	0.520900	−	0.250852i
$956$	−5.62924	−	7.05884i	−0.182063	−	0.228299i
$957$	−7.57054	+	3.64578i	−0.244721	+	0.117851i
$958$	7.00525	−	30.6920i	0.226329	−	0.991613i
$959$	0.888966	−	1.11473i	0.0287062	−	0.0359964i
$960$	−0.187922	+	0.823340i	−0.00606516	+	0.0265732i
$961$	20.1331	+	9.69557i	0.649453	+	0.312760i
$962$	22.2004	+	27.8384i	0.715770	+	0.897548i
$963$	9.89795	+	12.4116i	0.318957	+	0.399959i
$964$	−1.65217	−	7.23862i	−0.0532127	−	0.233140i
$965$	22.3506	+	10.7635i	0.719492	+	0.346489i
$966$	−1.46639	+	0.706178i	−0.0471805	+	0.0227209i
$967$	−1.03523	−	4.53566i	−0.0332909	−	0.145857i	0.955551	−	0.294826i	$-0.0952617\pi$
$967$	−1.03523	−	4.53566i	−0.0332909	−	0.145857i	−0.988842	+	0.148969i	$0.952405\pi$
$968$	−1.84050	−	8.06375i	−0.0591559	−	0.259179i
$969$	−39.9220	+	19.2254i	−1.28248	+	0.617609i
$970$	−13.5857	−	6.54254i	−0.436212	−	0.210068i
$971$	4.74813	+	20.8029i	0.152375	+	0.667597i	0.992191	+	0.124726i	$0.0398053\pi$
$971$	4.74813	+	20.8029i	0.152375	+	0.667597i	−0.839817	+	0.542870i	$0.817338\pi$
$972$	−9.97816	−	12.5122i	−0.320050	−	0.401329i
$973$	−8.28403	−	10.3878i	−0.265574	−	0.333019i
$974$	17.5990	+	8.47522i	0.563908	+	0.271564i
$975$	1.18260	−	5.18132i	0.0378736	−	0.165935i
$976$	5.20279	−	6.52409i	0.166537	−	0.208831i
$977$	−5.34890	+	23.4351i	−0.171126	+	0.749754i	0.814410	+	0.580290i	$0.197061\pi$
$977$	−5.34890	+	23.4351i	−0.171126	+	0.749754i	−0.985536	+	0.169464i	$0.945796\pi$
$978$	7.83468	−	3.77298i	0.250526	−	0.120647i
$979$	6.35668	+	7.97102i	0.203160	+	0.254755i
$980$	−5.86063	+	2.82233i	−0.187211	+	0.0901560i
$981$	21.6503	−	27.1486i	0.691240	−	0.866788i
$982$	−10.8046			−0.344789
$983$	−5.69002			−0.181484			−0.0907418	−	0.995874i	$-0.528924\pi$
$983$	−5.69002			−0.181484			−0.0907418	+	0.995874i	$0.528924\pi$
$984$	2.24850	−	2.81954i	0.0716797	−	0.0898835i
$985$	4.97261	+	2.39468i	0.158441	+	0.0763010i
$986$	−10.1129	−	44.3077i	−0.322062	−	1.41104i
$987$	0.372974	−	1.63410i	0.0118719	−	0.0520141i
$988$	−43.7591			−1.39216
$989$	17.8690	−	1.79510i	0.568202	−	0.0570807i
$990$	−3.77763			−0.120061
$991$	−8.53595	+	37.3984i	−0.271153	+	1.18800i	0.637500	+	0.770450i	$0.279968\pi$
$991$	−8.53595	+	37.3984i	−0.271153	+	1.18800i	−0.908654	+	0.417550i	$0.862889\pi$
$992$	−0.654605	−	2.86801i	−0.0207837	−	0.0910594i
$993$	−25.4112	−	12.2374i	−0.806402	−	0.388343i
$994$	−1.04221	+	1.30688i	−0.0330567	+	0.0414519i
$995$	22.9207			0.726634
$996$	14.7127			0.466189
$997$	−10.6065	+	13.3001i	−0.335911	+	0.421219i	−0.920886	−	0.389833i	$-0.872533\pi$
$997$	−10.6065	+	13.3001i	−0.335911	+	0.421219i	0.584975	+	0.811051i	$0.301104\pi$
$998$	21.0902	−	10.1565i	0.667598	−	0.321498i
$999$	−15.7507	−	19.7507i	−0.498329	−	0.624885i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	430.2.k.d.121.3	✓	24
43.16	even	7	inner	430.2.k.d.231.3	yes	24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
430.2.k.d.121.3	✓	24	1.1	even	1	trivial
430.2.k.d.231.3	yes	24	43.16	even	7	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:	\( N \)	\(=\)	\( 430 = 2 \cdot 5 \cdot 43 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	430.k (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.222521 - 0.974928i) q^{2} +(0.187922 + 0.823340i) q^{3} +(-0.900969 - 0.433884i) q^{4} +(-0.623490 + 0.781831i) q^{5} +0.844514 q^{6} +0.703699 q^{7} +(-0.623490 + 0.781831i) q^{8} +(2.06033 - 0.992204i) q^{9} +O(q^{10})\)	\(q+(0.222521 - 0.974928i) q^{2} +(0.187922 + 0.823340i) q^{3} +(-0.900969 - 0.433884i) q^{4} +(-0.623490 + 0.781831i) q^{5} +0.844514 q^{6} +0.703699 q^{7} +(-0.623490 + 0.781831i) q^{8} +(2.06033 - 0.992204i) q^{9} +(0.623490 + 0.781831i) q^{10} +(-1.48834 + 0.716746i) q^{11} +(0.187922 - 0.823340i) q^{12} +(3.92365 - 4.92011i) q^{13} +(0.156588 - 0.686056i) q^{14} +(-0.760881 - 0.366421i) q^{15} +(0.623490 + 0.781831i) q^{16} +(4.70455 + 5.89932i) q^{17} +(-0.508860 - 2.22946i) q^{18} +(6.26493 + 3.01703i) q^{19} +(0.900969 - 0.433884i) q^{20} +(0.132241 + 0.579384i) q^{21} +(0.367589 + 1.61051i) q^{22} +(-2.46750 + 1.18828i) q^{23} +(-0.760881 - 0.366421i) q^{24} +(-0.222521 - 0.974928i) q^{25} +(-3.92365 - 4.92011i) q^{26} +(2.78374 + 3.49070i) q^{27} +(-0.634011 - 0.305324i) q^{28} +(1.34026 - 5.87206i) q^{29} +(-0.526546 + 0.660268i) q^{30} +(0.654605 - 2.86801i) q^{31} +(0.900969 - 0.433884i) q^{32} +(-0.869817 - 1.09072i) q^{33} +(6.79827 - 3.27387i) q^{34} +(-0.438749 + 0.550174i) q^{35} -2.28680 q^{36} -5.65810 q^{37} +(4.33547 - 5.43650i) q^{38} +(4.78826 + 2.30591i) q^{39} +(-0.222521 - 0.974928i) q^{40} +(-0.950229 + 4.16323i) q^{41} +0.594284 q^{42} +(-6.16285 - 2.24038i) q^{43} +1.65193 q^{44} +(-0.508860 + 2.22946i) q^{45} +(0.609422 + 2.67005i) q^{46} +(-2.54111 - 1.22373i) q^{47} +(-0.526546 + 0.660268i) q^{48} -6.50481 q^{49} -1.00000 q^{50} +(-3.97306 + 4.98206i) q^{51} +(-5.66984 + 2.73045i) q^{52} +(5.84709 + 7.33201i) q^{53} +(4.02262 - 1.93719i) q^{54} +(0.367589 - 1.61051i) q^{55} +(-0.438749 + 0.550174i) q^{56} +(-1.30673 + 5.72514i) q^{57} +(-5.42660 - 2.61331i) q^{58} +(-6.87523 - 8.62126i) q^{59} +(0.526546 + 0.660268i) q^{60} +(-1.85685 - 8.13541i) q^{61} +(-2.65044 - 1.27638i) q^{62} +(1.44985 - 0.698213i) q^{63} +(-0.222521 - 0.974928i) q^{64} +(1.40034 + 6.13527i) q^{65} +(-1.25692 + 0.605302i) q^{66} +(5.87598 + 2.82972i) q^{67} +(-1.67903 - 7.35633i) q^{68} +(-1.44206 - 1.80829i) q^{69} +(0.438749 + 0.550174i) q^{70} +(-2.14016 - 1.03065i) q^{71} +(-0.508860 + 2.22946i) q^{72} +(3.99422 - 5.00860i) q^{73} +(-1.25905 + 5.51624i) q^{74} +(0.760881 - 0.366421i) q^{75} +(-4.33547 - 5.43650i) q^{76} +(-1.04734 + 0.504373i) q^{77} +(3.31358 - 4.15510i) q^{78} -13.5496 q^{79} -1.00000 q^{80} +(1.92647 - 2.41572i) q^{81} +(3.84740 + 1.85281i) q^{82} +(3.87664 + 16.9847i) q^{83} +(0.132241 - 0.579384i) q^{84} -7.54551 q^{85} +(-3.55557 + 5.50980i) q^{86} +5.08657 q^{87} +(0.367589 - 1.61051i) q^{88} +(-1.37335 - 6.01702i) q^{89} +(2.06033 + 0.992204i) q^{90} +(2.76107 - 3.46227i) q^{91} +2.73872 q^{92} +2.48436 q^{93} +(-1.75850 + 2.20509i) q^{94} +(-6.26493 + 3.01703i) q^{95} +(0.526546 + 0.660268i) q^{96} +(-13.5857 + 6.54254i) q^{97} +(-1.44746 + 6.34172i) q^{98} +(-2.35531 + 2.95347i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q + 4 q^{2} + 2 q^{3} - 4 q^{4} + 4 q^{5} + 12 q^{6} - 2 q^{7} + 4 q^{8} - 4 q^{9}+O(q^{10}) \) 24 * q + 4 * q^2 + 2 * q^3 - 4 * q^4 + 4 * q^5 + 12 * q^6 - 2 * q^7 + 4 * q^8 - 4 * q^9	\( 24 q + 4 q^{2} + 2 q^{3} - 4 q^{4} + 4 q^{5} + 12 q^{6} - 2 q^{7} + 4 q^{8} - 4 q^{9} - 4 q^{10} - 9 q^{11} + 2 q^{12} - 2 q^{13} - 5 q^{14} - 2 q^{15} - 4 q^{16} + 13 q^{17} - 10 q^{18} - 3 q^{19} + 4 q^{20} - 14 q^{21} - 5 q^{22} + 11 q^{23} - 2 q^{24} - 4 q^{25} + 2 q^{26} - 13 q^{27} + 5 q^{28} + 20 q^{29} + 2 q^{30} - 5 q^{31} + 4 q^{32} + 15 q^{33} + q^{34} + 9 q^{35} + 24 q^{36} - 38 q^{37} - 18 q^{38} + 5 q^{39} - 4 q^{40} - 2 q^{41} - 14 q^{42} - 2 q^{43} - 2 q^{44} - 10 q^{45} - 4 q^{46} + 10 q^{47} + 2 q^{48} + 50 q^{49} - 24 q^{50} - 42 q^{51} - 2 q^{52} + 22 q^{53} - 29 q^{54} - 5 q^{55} + 9 q^{56} - 67 q^{57} + 22 q^{58} - 44 q^{59} - 2 q^{60} - 26 q^{61} - 2 q^{62} + 37 q^{63} - 4 q^{64} + 2 q^{65} - 8 q^{66} + 37 q^{67} - 15 q^{68} + 88 q^{69} - 9 q^{70} + 19 q^{71} - 10 q^{72} + 22 q^{73} - 4 q^{74} + 2 q^{75} + 18 q^{76} + 28 q^{77} + 23 q^{78} + 30 q^{79} - 24 q^{80} - 26 q^{81} + 37 q^{82} - 11 q^{83} - 14 q^{84} - 6 q^{85} + 16 q^{86} - 26 q^{87} - 5 q^{88} + 30 q^{89} - 4 q^{90} + 36 q^{91} - 10 q^{92} - 98 q^{93} + 4 q^{94} + 3 q^{95} - 2 q^{96} - 39 q^{97} + 41 q^{98} - 31 q^{99}+O(q^{100}) \) 24 * q + 4 * q^2 + 2 * q^3 - 4 * q^4 + 4 * q^5 + 12 * q^6 - 2 * q^7 + 4 * q^8 - 4 * q^9 - 4 * q^10 - 9 * q^11 + 2 * q^12 - 2 * q^13 - 5 * q^14 - 2 * q^15 - 4 * q^16 + 13 * q^17 - 10 * q^18 - 3 * q^19 + 4 * q^20 - 14 * q^21 - 5 * q^22 + 11 * q^23 - 2 * q^24 - 4 * q^25 + 2 * q^26 - 13 * q^27 + 5 * q^28 + 20 * q^29 + 2 * q^30 - 5 * q^31 + 4 * q^32 + 15 * q^33 + q^34 + 9 * q^35 + 24 * q^36 - 38 * q^37 - 18 * q^38 + 5 * q^39 - 4 * q^40 - 2 * q^41 - 14 * q^42 - 2 * q^43 - 2 * q^44 - 10 * q^45 - 4 * q^46 + 10 * q^47 + 2 * q^48 + 50 * q^49 - 24 * q^50 - 42 * q^51 - 2 * q^52 + 22 * q^53 - 29 * q^54 - 5 * q^55 + 9 * q^56 - 67 * q^57 + 22 * q^58 - 44 * q^59 - 2 * q^60 - 26 * q^61 - 2 * q^62 + 37 * q^63 - 4 * q^64 + 2 * q^65 - 8 * q^66 + 37 * q^67 - 15 * q^68 + 88 * q^69 - 9 * q^70 + 19 * q^71 - 10 * q^72 + 22 * q^73 - 4 * q^74 + 2 * q^75 + 18 * q^76 + 28 * q^77 + 23 * q^78 + 30 * q^79 - 24 * q^80 - 26 * q^81 + 37 * q^82 - 11 * q^83 - 14 * q^84 - 6 * q^85 + 16 * q^86 - 26 * q^87 - 5 * q^88 + 30 * q^89 - 4 * q^90 + 36 * q^91 - 10 * q^92 - 98 * q^93 + 4 * q^94 + 3 * q^95 - 2 * q^96 - 39 * q^97 + 41 * q^98 - 31 * q^99

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