LMFDB - Embedded newform 462.2.w.b.281.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [462,2,Mod(29,462)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(462, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 0, 7]))

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

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

chi := DirichletCharacter("462.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 462 = 2 \cdot 3 \cdot 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	462.w (of order $10$, degree $4$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$3.68908857338$
Analytic rank:	$0$
Dimension:	$48$
Relative dimension:	$12$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			281.4
Character	$\chi$	$=$	462.281
Dual form			462.2.w.b.365.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.309017 - 0.951057i) q^{2} +(-1.15119 - 1.29413i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(1.45024 + 0.471210i) q^{5} +(-0.875051 + 1.49475i) q^{6} +(0.587785 + 0.809017i) q^{7} +(0.809017 + 0.587785i) q^{8} +(-0.349530 + 2.97957i) q^{9} +O(q^{10})$	\(q+(-0.309017 - 0.951057i) q^{2} +(-1.15119 - 1.29413i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(1.45024 + 0.471210i) q^{5} +(-0.875051 + 1.49475i) q^{6} +(0.587785 + 0.809017i) q^{7} +(0.809017 + 0.587785i) q^{8} +(-0.349530 + 2.97957i) q^{9} -1.52487i q^{10} +(3.21462 + 0.816229i) q^{11} +(1.69200 + 0.370319i) q^{12} +(3.83706 - 1.24674i) q^{13} +(0.587785 - 0.809017i) q^{14} +(-1.05969 - 2.41924i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-1.92685 + 5.93024i) q^{17} +(2.94175 - 0.588315i) q^{18} +(4.38777 - 6.03924i) q^{19} +(-1.45024 + 0.471210i) q^{20} +(0.370319 - 1.69200i) q^{21} +(-0.217092 - 3.30951i) q^{22} +0.184469i q^{23} +(-0.170662 - 1.72362i) q^{24} +(-2.16394 - 1.57219i) q^{25} +(-2.37143 - 3.26400i) q^{26} +(4.25832 - 2.97771i) q^{27} +(-0.951057 - 0.309017i) q^{28} +(-2.12085 + 1.54089i) q^{29} +(-1.97337 + 1.75541i) q^{30} +(0.712142 + 2.19175i) q^{31} -1.00000 q^{32} +(-2.64433 - 5.09976i) q^{33} +6.23543 q^{34} +(0.471210 + 1.45024i) q^{35} +(-1.46857 - 2.61597i) q^{36} +(3.41434 - 2.48066i) q^{37} +(-7.09956 - 2.30679i) q^{38} +(-6.03061 - 3.53041i) q^{39} +(0.896295 + 1.23364i) q^{40} +(-2.03409 - 1.47785i) q^{41} +(-1.72362 + 0.170662i) q^{42} -3.14871i q^{43} +(-3.08045 + 1.22916i) q^{44} +(-1.91090 + 4.15638i) q^{45} +(0.175441 - 0.0570041i) q^{46} +(6.08281 - 8.37227i) q^{47} +(-1.58652 + 0.694938i) q^{48} +(-0.309017 + 0.951057i) q^{49} +(-0.826551 + 2.54386i) q^{50} +(9.89266 - 4.33324i) q^{51} +(-2.37143 + 3.26400i) q^{52} +(-1.46825 + 0.477064i) q^{53} +(-4.14786 - 3.12974i) q^{54} +(4.27734 + 2.69849i) q^{55} +1.00000i q^{56} +(-12.8667 + 1.27398i) q^{57} +(2.12085 + 1.54089i) q^{58} +(3.34729 + 4.60715i) q^{59} +(2.27930 + 1.33434i) q^{60} +(6.79228 + 2.20694i) q^{61} +(1.86441 - 1.35457i) q^{62} +(-2.61597 + 1.46857i) q^{63} +(0.309017 + 0.951057i) q^{64} +6.15211 q^{65} +(-4.03302 + 4.09082i) q^{66} -0.875948 q^{67} +(-1.92685 - 5.93024i) q^{68} +(0.238727 - 0.212359i) q^{69} +(1.23364 - 0.896295i) q^{70} +(5.30866 + 1.72489i) q^{71} +(-2.03412 + 2.20507i) q^{72} +(-4.87284 - 6.70690i) q^{73} +(-3.41434 - 2.48066i) q^{74} +(0.456483 + 4.61030i) q^{75} +7.46492i q^{76} +(1.22916 + 3.08045i) q^{77} +(-1.49406 + 6.82641i) q^{78} +(-9.19500 + 2.98764i) q^{79} +(0.896295 - 1.23364i) q^{80} +(-8.75566 - 2.08290i) q^{81} +(-0.776953 + 2.39122i) q^{82} +(-1.95684 + 6.02252i) q^{83} +(0.694938 + 1.58652i) q^{84} +(-5.58878 + 7.69230i) q^{85} +(-2.99460 + 0.973006i) q^{86} +(4.43560 + 0.970797i) q^{87} +(2.12091 + 2.54985i) q^{88} +17.2905i q^{89} +(4.54345 + 0.532987i) q^{90} +(3.26400 + 2.37143i) q^{91} +(-0.108428 - 0.149239i) q^{92} +(2.01659 - 3.44472i) q^{93} +(-9.84219 - 3.19792i) q^{94} +(9.20905 - 6.69077i) q^{95} +(1.15119 + 1.29413i) q^{96} +(4.34513 + 13.3729i) q^{97} +1.00000 q^{98} +(-3.55561 + 9.29288i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9}+O(q^{10}) $ 48 * q + 12 * q^2 - 4 * q^3 - 12 * q^4 + 4 * q^6 + 12 * q^8 + 10 * q^9	$ 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9} + 8 q^{11} + 6 q^{12} - 24 q^{15} - 12 q^{16} + 24 q^{17} + 10 q^{18} + 30 q^{19} - 8 q^{22} - 6 q^{24} + 18 q^{25} + 20 q^{26} + 38 q^{27} - 8 q^{29} - 36 q^{30} - 32 q^{31} - 48 q^{32} + 24 q^{33} - 4 q^{34} - 6 q^{35} - 20 q^{37} - 20 q^{38} - 34 q^{39} - 22 q^{44} + 12 q^{45} + 20 q^{46} - 20 q^{47} - 4 q^{48} + 12 q^{49} - 28 q^{50} + 2 q^{51} + 20 q^{52} - 20 q^{53} - 18 q^{54} + 16 q^{55} + 12 q^{57} + 8 q^{58} - 30 q^{59} - 4 q^{60} - 20 q^{61} - 8 q^{62} - 4 q^{63} - 12 q^{64} + 46 q^{66} + 36 q^{67} + 24 q^{68} + 30 q^{69} - 4 q^{70} - 10 q^{72} - 20 q^{73} + 20 q^{74} + 40 q^{75} + 16 q^{77} - 16 q^{78} - 20 q^{79} - 54 q^{81} - 10 q^{82} + 46 q^{83} - 10 q^{84} + 10 q^{85} + 30 q^{86} - 8 q^{87} - 8 q^{88} - 62 q^{90} - 36 q^{91} - 10 q^{92} + 44 q^{93} - 50 q^{95} + 4 q^{96} - 2 q^{97} + 48 q^{98} - 26 q^{99}+O(q^{100}) $ 48 * q + 12 * q^2 - 4 * q^3 - 12 * q^4 + 4 * q^6 + 12 * q^8 + 10 * q^9 + 8 * q^11 + 6 * q^12 - 24 * q^15 - 12 * q^16 + 24 * q^17 + 10 * q^18 + 30 * q^19 - 8 * q^22 - 6 * q^24 + 18 * q^25 + 20 * q^26 + 38 * q^27 - 8 * q^29 - 36 * q^30 - 32 * q^31 - 48 * q^32 + 24 * q^33 - 4 * q^34 - 6 * q^35 - 20 * q^37 - 20 * q^38 - 34 * q^39 - 22 * q^44 + 12 * q^45 + 20 * q^46 - 20 * q^47 - 4 * q^48 + 12 * q^49 - 28 * q^50 + 2 * q^51 + 20 * q^52 - 20 * q^53 - 18 * q^54 + 16 * q^55 + 12 * q^57 + 8 * q^58 - 30 * q^59 - 4 * q^60 - 20 * q^61 - 8 * q^62 - 4 * q^63 - 12 * q^64 + 46 * q^66 + 36 * q^67 + 24 * q^68 + 30 * q^69 - 4 * q^70 - 10 * q^72 - 20 * q^73 + 20 * q^74 + 40 * q^75 + 16 * q^77 - 16 * q^78 - 20 * q^79 - 54 * q^81 - 10 * q^82 + 46 * q^83 - 10 * q^84 + 10 * q^85 + 30 * q^86 - 8 * q^87 - 8 * q^88 - 62 * q^90 - 36 * q^91 - 10 * q^92 + 44 * q^93 - 50 * q^95 + 4 * q^96 - 2 * q^97 + 48 * q^98 - 26 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/462\mathbb{Z}\right)^\times$.

$n$	$155$	$199$	$211$
$\chi(n)$	$-1$	$1$	$e\left(\frac{9}{10}\right)$

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 $

$2$	−0.309017	−	0.951057i	−0.218508	−	0.672499i
$2$	−0.309017	−	0.951057i	−0.218508	−	0.672499i
$3$	−1.15119	−	1.29413i	−0.664639	−	0.747165i
$3$	−1.15119	−	1.29413i	−0.664639	−	0.747165i
$4$	−0.809017	+	0.587785i	−0.404508	+	0.293893i
$5$	1.45024	+	0.471210i	0.648565	+	0.210732i	0.614781	−	0.788697i	$-0.289244\pi$
$5$	1.45024	+	0.471210i	0.648565	+	0.210732i	0.0337839	+	0.999429i	$0.489244\pi$
$6$	−0.875051	+	1.49475i	−0.357238	+	0.610230i
$7$	0.587785	+	0.809017i	0.222162	+	0.305780i
$7$	0.587785	+	0.809017i	0.222162	+	0.305780i
$8$	0.809017	+	0.587785i	0.286031	+	0.207813i
$9$	−0.349530	+	2.97957i	−0.116510	+	0.993190i
$10$		−	1.52487i		−	0.482206i
$11$	3.21462	+	0.816229i	0.969244	+	0.246102i
$11$	3.21462	+	0.816229i	0.969244	+	0.246102i
$12$	1.69200	+	0.370319i	0.488438	+	0.106902i
$13$	3.83706	−	1.24674i	1.06421	−	0.345782i	0.275979	−	0.961164i	$-0.410998\pi$
$13$	3.83706	−	1.24674i	1.06421	−	0.345782i	0.788229	+	0.615382i	$0.210998\pi$
$14$	0.587785	−	0.809017i	0.157092	−	0.216219i
$15$	−1.05969	−	2.41924i	−0.273611	−	0.624646i
$16$	0.309017	−	0.951057i	0.0772542	−	0.237764i
$17$	−1.92685	+	5.93024i	−0.467330	+	1.43830i	0.388697	+	0.921366i	$0.372925\pi$
$17$	−1.92685	+	5.93024i	−0.467330	+	1.43830i	−0.856028	+	0.516930i	$0.827075\pi$
$18$	2.94175	−	0.588315i	0.693377	−	0.138667i
$19$	4.38777	−	6.03924i	1.00662	−	1.38550i	0.0854505	−	0.996342i	$-0.472767\pi$
$19$	4.38777	−	6.03924i	1.00662	−	1.38550i	0.921172	−	0.389155i	$-0.127233\pi$
$20$	−1.45024	+	0.471210i	−0.324283	+	0.105366i
$21$	0.370319	−	1.69200i	0.0808103	−	0.369225i
$22$	−0.217092	−	3.30951i	−0.0462842	−	0.705590i
$23$			0.184469i			0.0384645i	0.999815	+	0.0192322i	$0.00612219\pi$
$23$			0.184469i			0.0384645i	−0.999815	+	0.0192322i	$0.993878\pi$
$24$	−0.170662	−	1.72362i	−0.0348363	−	0.351833i
$25$	−2.16394	−	1.57219i	−0.432788	−	0.314439i
$26$	−2.37143	−	3.26400i	−0.465076	−	0.640122i
$27$	4.25832	−	2.97771i	0.819513	−	0.573060i
$28$	−0.951057	−	0.309017i	−0.179733	−	0.0583987i
$29$	−2.12085	+	1.54089i	−0.393832	+	0.286135i	−0.767024	−	0.641619i	$-0.778263\pi$
$29$	−2.12085	+	1.54089i	−0.393832	+	0.286135i	0.373192	+	0.927754i	$0.378263\pi$
$30$	−1.97337	+	1.75541i	−0.360287	+	0.320493i
$31$	0.712142	+	2.19175i	0.127904	+	0.393649i	0.994419	−	0.105502i	$-0.0336450\pi$
$31$	0.712142	+	2.19175i	0.127904	+	0.393649i	−0.866515	+	0.499152i	$0.833645\pi$
$32$	−1.00000			−0.176777
$33$	−2.64433	−	5.09976i	−0.460318	−	0.887754i
$34$	6.23543			1.06937
$35$	0.471210	+	1.45024i	0.0796491	+	0.245135i
$36$	−1.46857	−	2.61597i	−0.244762	−	0.435995i
$37$	3.41434	−	2.48066i	0.561314	−	0.407819i	−0.270626	−	0.962685i	$-0.587231\pi$
$37$	3.41434	−	2.48066i	0.561314	−	0.407819i	0.831940	+	0.554866i	$0.187231\pi$
$38$	−7.09956	−	2.30679i	−1.15170	−	0.374210i
$39$	−6.03061	−	3.53041i	−0.965670	−	0.565318i
$40$	0.896295	+	1.23364i	0.141717	+	0.195056i
$41$	−2.03409	−	1.47785i	−0.317672	−	0.230802i	0.417510	−	0.908672i	$-0.362903\pi$
$41$	−2.03409	−	1.47785i	−0.317672	−	0.230802i	−0.735181	+	0.677871i	$0.762903\pi$
$42$	−1.72362	+	0.170662i	−0.265961	+	0.0263338i
$43$		−	3.14871i		−	0.480174i	−0.970751	−	0.240087i	$-0.922824\pi$
$43$		−	3.14871i		−	0.480174i	0.970751	−	0.240087i	$-0.0771760\pi$
$44$	−3.08045	+	1.22916i	−0.464395	+	0.185303i
$45$	−1.91090	+	4.15638i	−0.284861	+	0.619596i
$46$	0.175441	−	0.0570041i	0.0258673	−	0.00840480i
$47$	6.08281	−	8.37227i	0.887269	−	1.22122i	−0.0870857	−	0.996201i	$-0.527755\pi$
$47$	6.08281	−	8.37227i	0.887269	−	1.22122i	0.974354	−	0.225020i	$-0.0722446\pi$
$48$	−1.58652	+	0.694938i	−0.228995	+	0.100306i
$49$	−0.309017	+	0.951057i	−0.0441453	+	0.135865i
$50$	−0.826551	+	2.54386i	−0.116892	+	0.359757i
$51$	9.89266	−	4.33324i	1.38525	−	0.606774i
$52$	−2.37143	+	3.26400i	−0.328858	+	0.452635i
$53$	−1.46825	+	0.477064i	−0.201680	+	0.0655298i	−0.408115	−	0.912931i	$-0.633814\pi$
$53$	−1.46825	+	0.477064i	−0.201680	+	0.0655298i	0.206435	+	0.978460i	$0.433814\pi$
$54$	−4.14786	−	3.12974i	−0.564452	−	0.425903i
$55$	4.27734	+	2.69849i	0.576757	+	0.363864i
$56$			1.00000i			0.133631i
$57$	−12.8667	+	1.27398i	−1.70424	+	0.168743i
$58$	2.12085	+	1.54089i	0.278481	+	0.202328i
$59$	3.34729	+	4.60715i	0.435780	+	0.599799i	0.969268	−	0.246008i	$-0.0791190\pi$
$59$	3.34729	+	4.60715i	0.435780	+	0.599799i	−0.533488	+	0.845808i	$0.679119\pi$
$60$	2.27930	+	1.33434i	0.294257	+	0.172262i
$61$	6.79228	+	2.20694i	0.869662	+	0.282570i	0.709658	−	0.704546i	$-0.248849\pi$
$61$	6.79228	+	2.20694i	0.869662	+	0.282570i	0.160004	+	0.987116i	$0.448849\pi$
$62$	1.86441	−	1.35457i	0.236781	−	0.172031i
$63$	−2.61597	+	1.46857i	−0.329581	+	0.185023i
$64$	0.309017	+	0.951057i	0.0386271	+	0.118882i
$65$	6.15211			0.763076
$66$	−4.03302	+	4.09082i	−0.496430	+	0.503545i
$67$	−0.875948			−0.107014			−0.0535070	−	0.998567i	$-0.517040\pi$
$67$	−0.875948			−0.107014			−0.0535070	+	0.998567i	$0.517040\pi$
$68$	−1.92685	−	5.93024i	−0.233665	−	0.719148i
$69$	0.238727	−	0.212359i	0.0287393	−	0.0255650i
$70$	1.23364	−	0.896295i	0.147449	−	0.107128i
$71$	5.30866	+	1.72489i	0.630022	+	0.204707i	0.606585	−	0.795019i	$-0.292539\pi$
$71$	5.30866	+	1.72489i	0.630022	+	0.204707i	0.0234371	+	0.999725i	$0.492539\pi$
$72$	−2.03412	+	2.20507i	−0.239724	+	0.259870i
$73$	−4.87284	−	6.70690i	−0.570323	−	0.784983i	0.422270	−	0.906470i	$-0.361234\pi$
$73$	−4.87284	−	6.70690i	−0.570323	−	0.784983i	−0.992593	+	0.121488i	$0.961234\pi$
$74$	−3.41434	−	2.48066i	−0.396909	−	0.288371i
$75$	0.456483	+	4.61030i	0.0527101	+	0.532352i
$76$			7.46492i			0.856285i
$77$	1.22916	+	3.08045i	0.140076	+	0.351050i
$78$	−1.49406	+	6.82641i	−0.169169	+	0.772938i
$79$	−9.19500	+	2.98764i	−1.03452	+	0.336135i	−0.776575	−	0.630025i	$-0.783045\pi$
$79$	−9.19500	+	2.98764i	−1.03452	+	0.336135i	−0.257943	+	0.966160i	$0.583045\pi$
$80$	0.896295	−	1.23364i	0.100209	−	0.137926i
$81$	−8.75566	−	2.08290i	−0.972851	−	0.231433i
$82$	−0.776953	+	2.39122i	−0.0858001	+	0.264066i
$83$	−1.95684	+	6.02252i	−0.214791	+	0.661058i	0.784378	+	0.620284i	$0.212982\pi$
$83$	−1.95684	+	6.02252i	−0.214791	+	0.661058i	−0.999168	+	0.0407743i	$0.987018\pi$
$84$	0.694938	+	1.58652i	0.0758240	+	0.173104i
$85$	−5.58878	+	7.69230i	−0.606189	+	0.834347i
$86$	−2.99460	+	0.973006i	−0.322916	+	0.104922i
$87$	4.43560	+	0.970797i	0.475546	+	0.104080i
$88$	2.12091	+	2.54985i	0.226090	+	0.271815i
$89$			17.2905i			1.83279i	0.400273	+	0.916396i	$0.368915\pi$
$89$			17.2905i			1.83279i	−0.400273	+	0.916396i	$0.631085\pi$
$90$	4.54345	+	0.532987i	0.478922	+	0.0561818i
$91$	3.26400	+	2.37143i	0.342160	+	0.248594i
$92$	−0.108428	−	0.149239i	−0.0113044	−	0.0155592i
$93$	2.01659	−	3.44472i	0.209111	−	0.357201i
$94$	−9.84219	−	3.19792i	−1.01514	−	0.329840i
$95$	9.20905	−	6.69077i	0.944829	−	0.686458i
$96$	1.15119	+	1.29413i	0.117493	+	0.132081i
$97$	4.34513	+	13.3729i	0.441181	+	1.35782i	0.886618	+	0.462503i	$0.153048\pi$
$97$	4.34513	+	13.3729i	0.441181	+	1.35782i	−0.445437	+	0.895313i	$0.646952\pi$
$98$	1.00000			0.101015
$99$	−3.55561	+	9.29288i	−0.357353	+	0.933970i
$100$	2.67478			0.267478
$101$	3.07084	+	9.45108i	0.305560	+	0.940417i	0.979468	+	0.201602i	$0.0646146\pi$
$101$	3.07084	+	9.45108i	0.305560	+	0.940417i	−0.673908	+	0.738816i	$0.735385\pi$
$102$	−7.17815	−	8.06944i	−0.710743	−	0.798993i
$103$	14.3323	−	10.4130i	1.41221	−	1.02603i	0.419209	−	0.907890i	$-0.362308\pi$
$103$	14.3323	−	10.4130i	1.41221	−	1.02603i	0.992997	−	0.118138i	$-0.0376924\pi$
$104$	3.83706	+	1.24674i	0.376254	+	0.122252i
$105$	1.33434	−	2.27930i	0.130218	−	0.222437i
$106$	0.907430	+	1.24897i	0.0881374	+	0.121311i
$107$	−14.1345	−	10.2693i	−1.36643	−	0.992769i	−0.998007	−	0.0631112i	$-0.979898\pi$
$107$	−14.1345	−	10.2693i	−1.36643	−	0.992769i	−0.368423	−	0.929658i	$-0.620102\pi$
$108$	−1.69480	+	4.91199i	−0.163082	+	0.472657i
$109$			3.56182i			0.341161i	0.985344	+	0.170580i	$0.0545643\pi$
$109$			3.56182i			0.341161i	−0.985344	+	0.170580i	$0.945436\pi$
$110$	1.24464	−	4.90187i	0.118672	−	0.467375i
$111$	−7.14084	−	1.56288i	−0.677779	−	0.148342i
$112$	0.951057	−	0.309017i	0.0898664	−	0.0291994i
$113$	3.62336	−	4.98713i	0.340857	−	0.469149i	−0.603835	−	0.797110i	$-0.706361\pi$
$113$	3.62336	−	4.98713i	0.340857	−	0.469149i	0.944691	+	0.327960i	$0.106361\pi$
$114$	5.18765	+	11.8433i	0.485868	+	1.10922i
$115$	−0.0869238	+	0.267524i	−0.00810568	+	0.0249467i
$116$	0.810092	−	2.49321i	0.0752152	−	0.231488i
$117$	2.37357	+	11.8685i	0.219436	+	1.09725i
$118$	3.34729	−	4.60715i	0.308143	−	0.424122i
$119$	−5.93024	+	1.92685i	−0.543625	+	0.176634i
$120$	0.564688	−	2.58008i	0.0515487	−	0.235528i
$121$	9.66754	+	5.24773i	0.878867	+	0.477066i
$122$		−	7.14182i		−	0.646590i
$123$	0.429092	+	4.33366i	0.0386899	+	0.390753i
$124$	−1.86441	−	1.35457i	−0.167429	−	0.121644i
$125$	−6.87887	−	9.46795i	−0.615264	−	0.846839i
$126$	2.20507	+	2.03412i	0.196444	+	0.181214i
$127$	−14.6755	−	4.76835i	−1.30224	−	0.423123i	−0.425879	−	0.904780i	$-0.640035\pi$
$127$	−14.6755	−	4.76835i	−1.30224	−	0.423123i	−0.876360	+	0.481657i	$0.840035\pi$
$128$	0.809017	−	0.587785i	0.0715077	−	0.0519534i
$129$	−4.07483	+	3.62476i	−0.358769	+	0.319143i
$130$	−1.90111	−	5.85101i	−0.166738	−	0.513167i
$131$	16.0159			1.39932			0.699658	−	0.714478i	$-0.253336\pi$
$131$	16.0159			1.39932			0.699658	+	0.714478i	$0.253336\pi$
$132$	5.13687	+	2.57149i	0.447107	+	0.223820i
$133$	7.46492			0.647290
$134$	0.270683	+	0.833076i	0.0233834	+	0.0719668i
$135$	7.57869	−	2.31182i	0.652270	−	0.198970i
$136$	−5.04457	+	3.66509i	−0.432568	+	0.314279i
$137$	−11.1211	−	3.61347i	−0.950140	−	0.308719i	−0.207368	−	0.978263i	$-0.566490\pi$
$137$	−11.1211	−	3.61347i	−0.950140	−	0.308719i	−0.742773	+	0.669544i	$0.766490\pi$
$138$	−0.275736	−	0.161420i	−0.0234722	−	0.0137410i
$139$	−4.58433	−	6.30979i	−0.388838	−	0.535190i	0.569061	−	0.822295i	$-0.307307\pi$
$139$	−4.58433	−	6.30979i	−0.388838	−	0.535190i	−0.957899	+	0.287106i	$0.907307\pi$
$140$	−1.23364	−	0.896295i	−0.104262	−	0.0757508i
$141$	−17.8372	+	1.76613i	−1.50217	+	0.148735i
$142$		−	5.58185i		−	0.468419i
$143$	13.3523	−	0.875862i	1.11657	−	0.0732433i
$144$	2.72573	+	1.25316i	0.227144	+	0.104430i
$145$	−3.80181	+	1.23528i	−0.315723	+	0.102585i
$146$	−4.87284	+	6.70690i	−0.403279	+	0.555067i
$147$	1.58652	−	0.694938i	0.130854	−	0.0573175i
$148$	−1.30416	+	4.01380i	−0.107201	+	0.329932i
$149$	−4.31939	+	13.2937i	−0.353858	+	1.08906i	0.602811	+	0.797884i	$0.294047\pi$
$149$	−4.31939	+	13.2937i	−0.353858	+	1.08906i	−0.956669	+	0.291178i	$0.905953\pi$
$150$	4.24360	−	1.85880i	0.346488	−	0.151771i
$151$	−6.72868	+	9.26124i	−0.547572	+	0.753669i	−0.989680	−	0.143293i	$-0.954231\pi$
$151$	−6.72868	+	9.26124i	−0.547572	+	0.753669i	0.442108	+	0.896962i	$0.354231\pi$
$152$	7.09956	−	2.30679i	0.575850	−	0.187105i
$153$	−16.9961	−	7.81399i	−1.37405	−	0.631723i
$154$	2.54985	−	2.12091i	0.205473	−	0.170908i
$155$			3.51412i			0.282261i
$156$	6.95399	−	0.688540i	0.556765	−	0.0551273i
$157$	−17.4390	−	12.6701i	−1.39178	−	1.01119i	−0.995667	−	0.0929864i	$-0.970359\pi$
$157$	−17.4390	−	12.6701i	−1.39178	−	1.01119i	−0.396113	−	0.918202i	$-0.629641\pi$
$158$	5.68282	+	7.82174i	0.452101	+	0.622264i
$159$	2.30762	+	1.35091i	0.183006	+	0.107134i
$160$	−1.45024	−	0.471210i	−0.114651	−	0.0372524i
$161$	−0.149239	+	0.108428i	−0.0117617	+	0.00854534i
$162$	0.724695	+	8.97078i	0.0569374	+	0.704811i
$163$	−2.03692	−	6.26901i	−0.159544	−	0.491027i	0.839049	−	0.544056i	$-0.183112\pi$
$163$	−2.03692	−	6.26901i	−0.159544	−	0.491027i	−0.998593	+	0.0530297i	$0.983112\pi$
$164$	2.51427			0.196332
$165$	−1.43184	−	8.64189i	−0.111469	−	0.672770i
$166$	6.33246			0.491494
$167$	−2.08933	−	6.43029i	−0.161677	−	0.497591i	0.837099	−	0.547051i	$-0.184250\pi$
$167$	−2.08933	−	6.43029i	−0.161677	−	0.497591i	−0.998776	+	0.0494607i	$0.984250\pi$
$168$	1.29413	−	1.15119i	0.0998441	−	0.0888161i
$169$	2.65143	−	1.92638i	0.203956	−	0.148183i
$170$	9.04284	+	2.93820i	0.693554	+	0.225349i
$171$	16.4607	+	15.1845i	1.25878	+	1.16119i
$172$	1.85077	+	2.54736i	0.141120	+	0.194235i
$173$	−15.4639	−	11.2352i	−1.17570	−	0.854196i	−0.184020	−	0.982923i	$-0.558911\pi$
$173$	−15.4639	−	11.2352i	−1.17570	−	0.854196i	−0.991680	+	0.128727i	$0.958911\pi$
$174$	−0.447393	−	4.51850i	−0.0339168	−	0.342547i
$175$		−	2.67478i		−	0.202194i
$176$	1.76965	−	2.80506i	0.133392	−	0.211439i
$177$	2.10887	−	9.63551i	0.158513	−	0.724249i
$178$	16.4443	−	5.34307i	1.23255	−	0.400480i
$179$	−0.182104	+	0.250644i	−0.0136111	+	0.0187340i	−0.815768	−	0.578379i	$-0.803686\pi$
$179$	−0.182104	+	0.250644i	−0.0136111	+	0.0187340i	0.802157	+	0.597113i	$0.203686\pi$
$180$	−0.897103	−	4.48578i	−0.0668661	−	0.334350i
$181$	2.27242	−	6.99378i	0.168907	−	0.519844i	−0.830396	−	0.557174i	$-0.811886\pi$
$181$	2.27242	−	6.99378i	0.168907	−	0.519844i	0.999303	+	0.0373308i	$0.0118855\pi$
$182$	1.24674	−	3.83706i	0.0924142	−	0.284422i
$183$	−4.96312	−	11.3307i	−0.366885	−	0.837588i
$184$	−0.108428	+	0.149239i	−0.00799344	+	0.0110020i
$185$	6.12051	−	1.98868i	0.449989	−	0.146210i
$186$	−3.89928	−	0.853415i	−0.285909	−	0.0625754i
$187$	−11.0345	+	17.4907i	−0.806925	+	1.27905i
$188$			10.3487i			0.754756i
$189$	4.91199	+	1.69480i	0.357295	+	0.123278i
$190$	−9.20905	−	6.69077i	−0.668095	−	0.485399i
$191$	−1.23181	−	1.69544i	−0.0891306	−	0.122678i	0.762123	−	0.647432i	$-0.224157\pi$
$191$	−1.23181	−	1.69544i	−0.0891306	−	0.122678i	−0.851254	+	0.524754i	$0.824157\pi$
$192$	0.875051	−	1.49475i	0.0631514	−	0.107874i
$193$	19.4787	+	6.32900i	1.40210	+	0.455571i	0.909871	−	0.414892i	$-0.136181\pi$
$193$	19.4787	+	6.32900i	1.40210	+	0.455571i	0.492233	+	0.870463i	$0.336181\pi$
$194$	11.3757	−	8.26493i	0.816728	−	0.593387i
$195$	−7.08224	−	7.96162i	−0.507170	−	0.570143i
$196$	−0.309017	−	0.951057i	−0.0220726	−	0.0679326i
$197$	−19.6124			−1.39732			−0.698662	−	0.715452i	$-0.746221\pi$
$197$	−19.6124			−1.39732			−0.698662	+	0.715452i	$0.746221\pi$
$198$	9.93680	+	0.509933i	0.706178	+	0.0362393i
$199$	−9.42211			−0.667916			−0.333958	−	0.942588i	$-0.608384\pi$
$199$	−9.42211			−0.667916			−0.333958	+	0.942588i	$0.608384\pi$
$200$	−0.826551	−	2.54386i	−0.0584460	−	0.179878i
$201$	1.00838	+	1.13359i	0.0711257	+	0.0799571i
$202$	8.03957	−	5.84109i	0.565662	−	0.410977i
$203$	−2.49321	−	0.810092i	−0.174989	−	0.0568573i
$204$	−5.45632	+	9.32042i	−0.382019	+	0.652560i
$205$	−2.25353	−	3.10172i	−0.157393	−	0.216634i
$206$	−14.3323	−	10.4130i	−0.998580	−	0.725511i
$207$	−0.549639	−	0.0644775i	−0.0382025	−	0.00448150i
$208$		−	4.03452i		−	0.279744i
$209$	19.0344	−	15.8324i	1.31664	−	1.09515i
$210$	−2.58008	−	0.564688i	−0.178042	−	0.0389672i
$211$	−23.1994	+	7.53794i	−1.59711	+	0.518933i	−0.966391	−	0.257076i	$-0.917241\pi$
$211$	−23.1994	+	7.53794i	−1.59711	+	0.518933i	−0.630721	+	0.776010i	$0.717241\pi$
$212$	0.907430	−	1.24897i	0.0623225	−	0.0857796i
$213$	−3.87904	−	8.85575i	−0.265788	−	0.606786i
$214$	−5.39888	+	16.6161i	−0.369060	+	1.13585i
$215$	1.48371	−	4.56638i	0.101188	−	0.311424i
$216$	5.19530	+	0.0939576i	0.353496	+	0.00639300i
$217$	−1.35457	+	1.86441i	−0.0919545	+	0.126565i
$218$	3.38749	−	1.10066i	0.229430	−	0.0745464i
$219$	−3.07001	+	14.0270i	−0.207452	+	0.947856i
$220$	−5.04657	+	0.331037i	−0.340240	+	0.0223185i
$221$			25.1570i			1.69224i
$222$	0.720256	+	7.27430i	0.0483404	+	0.488219i
$223$	22.5635	+	16.3933i	1.51096	+	1.09778i	0.965748	+	0.259483i	$0.0835520\pi$
$223$	22.5635	+	16.3933i	1.51096	+	1.09778i	0.545215	+	0.838296i	$0.316448\pi$
$224$	−0.587785	−	0.809017i	−0.0392731	−	0.0540547i
$225$	5.44082	−	5.89808i	0.362721	−	0.393205i
$226$	−5.86272	−	1.90491i	−0.389982	−	0.126713i
$227$	−15.3391	+	11.1445i	−1.01809	+	0.739686i	−0.965891	−	0.258950i	$-0.916623\pi$
$227$	−15.3391	+	11.1445i	−1.01809	+	0.739686i	−0.0522002	+	0.998637i	$0.516623\pi$
$228$	9.66055	−	8.59353i	0.639785	−	0.569120i
$229$	0.807903	+	2.48647i	0.0533877	+	0.164311i	0.974195	−	0.225707i	$-0.0724691\pi$
$229$	0.807903	+	2.48647i	0.0533877	+	0.164311i	−0.920808	+	0.390017i	$0.872469\pi$
$230$	0.281291			0.0185478
$231$	2.57149	−	5.13687i	0.169192	−	0.337981i
$232$	−2.62151			−0.172111
$233$	−8.46310	−	26.0467i	−0.554436	−	1.70638i	−0.697428	−	0.716655i	$-0.745672\pi$
$233$	−8.46310	−	26.0467i	−0.554436	−	1.70638i	0.142992	−	0.989724i	$-0.454328\pi$
$234$	10.5542	−	5.92498i	0.689949	−	0.387328i
$235$	12.7666	−	9.27548i	0.832801	−	0.605066i
$236$	−5.41603	−	1.75977i	−0.352553	−	0.114552i
$237$	14.4516	+	8.46017i	0.938730	+	0.549547i
$238$	3.66509	+	5.04457i	0.237573	+	0.326991i
$239$	−5.45911	−	3.96628i	−0.353121	−	0.256557i	0.397056	−	0.917794i	$-0.370032\pi$
$239$	−5.45911	−	3.96628i	−0.353121	−	0.256557i	−0.750177	+	0.661237i	$0.770032\pi$
$240$	−2.62830	+	0.260238i	−0.169656	+	0.0167983i
$241$		−	2.28135i		−	0.146955i	−0.997297	−	0.0734774i	$-0.976590\pi$
$241$		−	2.28135i		−	0.146955i	0.997297	−	0.0734774i	$-0.0234097\pi$
$242$	2.00345	−	10.8160i	0.128787	−	0.695280i
$243$	7.38388	+	13.7287i	0.473676	+	0.880699i
$244$	−6.79228	+	2.20694i	−0.434831	+	0.141285i
$245$	−0.896295	+	1.23364i	−0.0572622	+	0.0788147i
$246$	3.98896	−	1.74726i	0.254327	−	0.111402i
$247$	9.30677	−	28.6433i	0.592176	−	1.82253i
$248$	−0.712142	+	2.19175i	−0.0452211	+	0.139176i
$249$	10.0466	−	4.40066i	0.636677	−	0.278881i
$250$	−6.87887	+	9.46795i	−0.435058	+	0.598805i
$251$	11.4926	−	3.73416i	0.725405	−	0.235698i	0.0770399	−	0.997028i	$-0.475453\pi$
$251$	11.4926	−	3.73416i	0.725405	−	0.235698i	0.648365	+	0.761330i	$0.275453\pi$
$252$	1.25316	−	2.72573i	0.0789417	−	0.171705i
$253$	−0.150569	+	0.592998i	−0.00946619	+	0.0372815i
$254$			15.4307i			0.968209i
$255$	16.3886	−	1.62269i	1.02629	−	0.101617i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	12.9257	+	17.7908i	0.806285	+	1.10976i	0.991886	+	0.127131i	$0.0405770\pi$
$257$	12.9257	+	17.7908i	0.806285	+	1.10976i	−0.185600	+	0.982625i	$0.559423\pi$
$258$	4.70655	+	2.75528i	0.293017	+	0.171537i
$259$	4.01380	+	1.30416i	0.249405	+	0.0810367i
$260$	−4.97716	+	3.61612i	−0.308671	+	0.224262i
$261$	−3.84988	−	6.85780i	−0.238301	−	0.424487i
$262$	−4.94918	−	15.2320i	−0.305762	−	0.941038i
$263$	−28.5645			−1.76136			−0.880681	−	0.473709i	$-0.842915\pi$
$263$	−28.5645			−1.76136			−0.880681	+	0.473709i	$0.842915\pi$
$264$	0.858256	−	5.68009i	0.0528220	−	0.349585i
$265$	−2.35411			−0.144612
$266$	−2.30679	−	7.09956i	−0.141438	−	0.435302i
$267$	22.3761	−	19.9047i	1.36940	−	1.21815i
$268$	0.708657	−	0.514869i	0.0432881	−	0.0314506i
$269$	−7.00090	−	2.27473i	−0.426852	−	0.138693i	0.0877093	−	0.996146i	$-0.472045\pi$
$269$	−7.00090	−	2.27473i	−0.426852	−	0.138693i	−0.514562	+	0.857453i	$0.672045\pi$
$270$	−4.54062	−	6.49337i	−0.276333	−	0.395174i
$271$	−9.93835	−	13.6790i	−0.603712	−	0.830938i	0.392330	−	0.919825i	$-0.371669\pi$
$271$	−9.93835	−	13.6790i	−0.603712	−	0.830938i	−0.996042	+	0.0888864i	$0.971669\pi$
$272$	5.04457	+	3.66509i	0.305872	+	0.222229i
$273$	−0.688540	−	6.95399i	−0.0416724	−	0.420875i
$274$			11.6934i			0.706426i
$275$	−5.67297	−	6.82027i	−0.342093	−	0.411278i
$276$	−0.0683125	+	0.312122i	−0.00411193	+	0.0187875i
$277$	0.580681	−	0.188675i	0.0348897	−	0.0113364i	−0.291520	−	0.956565i	$-0.594161\pi$
$277$	0.580681	−	0.188675i	0.0348897	−	0.0113364i	0.326410	+	0.945228i	$0.394161\pi$
$278$	−4.58433	+	6.30979i	−0.274950	+	0.378436i
$279$	−6.77938	+	1.35579i	−0.405871	+	0.0811693i
$280$	−0.471210	+	1.45024i	−0.0281602	+	0.0866682i
$281$	3.08823	−	9.50461i	0.184229	−	0.566997i	−0.815706	−	0.578467i	$-0.803651\pi$
$281$	3.08823	−	9.50461i	0.184229	−	0.566997i	0.999934	+	0.0114699i	$0.00365106\pi$
$282$	7.19170	+	16.4185i	0.428259	+	0.977705i
$283$	0.406618	−	0.559662i	0.0241710	−	0.0332685i	−0.796760	−	0.604295i	$-0.793455\pi$
$283$	0.406618	−	0.559662i	0.0241710	−	0.0332685i	0.820931	+	0.571027i	$0.193455\pi$
$284$	−5.30866	+	1.72489i	−0.315011	+	0.102353i
$285$	−19.2601	−	4.21535i	−1.14087	−	0.249696i
$286$	−4.95908	−	12.4281i	−0.293237	−	0.734891i
$287$		−	2.51427i		−	0.148413i
$288$	0.349530	−	2.97957i	0.0205962	−	0.175573i
$289$	−17.7017	−	12.8611i	−1.04128	−	0.756533i
$290$	2.34965	+	3.23402i	0.137976	+	0.189908i
$291$	12.3042	−	21.0179i	0.721286	−	1.23209i
$292$	7.88443	+	2.56181i	0.461401	+	0.149918i
$293$	9.45298	−	6.86799i	0.552249	−	0.401232i	−0.276365	−	0.961053i	$-0.589130\pi$
$293$	9.45298	−	6.86799i	0.552249	−	0.401232i	0.828614	+	0.559820i	$0.189130\pi$
$294$	−1.15119	−	1.29413i	−0.0671387	−	0.0754750i
$295$	2.68342	+	8.25873i	0.156235	+	0.480842i
$296$	4.22036			0.245303
$297$	16.1193	−	6.09644i	0.935340	−	0.353751i
$298$	13.9778			0.809714
$299$	0.229984	+	0.707819i	0.0133003	+	0.0409342i
$300$	−3.07917	−	3.46150i	−0.177776	−	0.199850i
$301$	2.54736	−	1.85077i	0.146828	−	0.106676i
$302$	10.8872	+	3.53748i	0.626490	+	0.203559i
$303$	8.69578	−	14.8540i	0.499559	−	0.853342i
$304$	−4.38777	−	6.03924i	−0.251656	−	0.346374i
$305$	8.81047	+	6.40118i	0.504486	+	0.366531i
$306$	−2.17947	+	18.5789i	−0.124592	+	1.06208i
$307$			6.13997i			0.350427i	0.984530	+	0.175213i	$0.0560615\pi$
$307$			6.13997i			0.350427i	−0.984530	+	0.175213i	$0.943938\pi$
$308$	−2.80506	−	1.76965i	−0.159833	−	0.100835i
$309$	−29.9750	−	6.56047i	−1.70522	−	0.373212i
$310$	3.34213	−	1.08592i	0.189820	−	0.0616763i
$311$	−0.496600	+	0.683511i	−0.0281596	+	0.0387584i	−0.822865	−	0.568237i	$-0.807626\pi$
$311$	−0.496600	+	0.683511i	−0.0281596	+	0.0387584i	0.794705	+	0.606996i	$0.207626\pi$
$312$	−2.80374	−	6.40087i	−0.158731	−	0.362378i
$313$	0.717070	−	2.20691i	0.0405312	−	0.124742i	−0.928744	−	0.370723i	$-0.879110\pi$
$313$	0.717070	−	2.20691i	0.0405312	−	0.124742i	0.969275	+	0.245981i	$0.0791100\pi$
$314$	−6.66109	+	20.5007i	−0.375907	+	1.15692i
$315$	−4.48578	+	0.897103i	−0.252745	+	0.0505460i
$316$	5.68282	−	7.82174i	0.319684	−	0.440007i
$317$	14.7494	−	4.79238i	0.828410	−	0.269167i	0.136035	−	0.990704i	$-0.456564\pi$
$317$	14.7494	−	4.79238i	0.828410	−	0.269167i	0.692376	+	0.721537i	$0.256564\pi$
$318$	0.571703	−	2.61213i	0.0320595	−	0.146481i
$319$	−8.07544	+	3.22227i	−0.452138	+	0.180412i
$320$			1.52487i			0.0852428i
$321$	2.98167	+	30.1137i	0.166420	+	1.68078i
$322$	0.149239	+	0.108428i	0.00831675	+	0.00604247i
$323$	27.3596	+	37.6573i	1.52233	+	2.09531i
$324$	8.30777	−	3.46135i	0.461543	−	0.192297i
$325$	−10.2633	−	3.33474i	−0.569303	−	0.184978i
$326$	−5.33274	+	3.87446i	−0.295353	+	0.214586i
$327$	4.60945	−	4.10033i	0.254903	−	0.226749i
$328$	−0.776953	−	2.39122i	−0.0429001	−	0.132033i
$329$	10.3487			0.570542
$330$	−7.77646	+	4.03225i	−0.428080	+	0.221968i
$331$	13.2575			0.728698			0.364349	−	0.931262i	$-0.381292\pi$
$331$	13.2575			0.728698			0.364349	+	0.931262i	$0.381292\pi$
$332$	−1.95684	−	6.02252i	−0.107395	−	0.330529i
$333$	6.19789	+	11.0403i	0.339642	+	0.605006i
$334$	−5.46993	+	3.97414i	−0.299301	+	0.217455i
$335$	−1.27033	−	0.412756i	−0.0694056	−	0.0225512i
$336$	−1.49475	−	0.875051i	−0.0815454	−	0.0477380i
$337$	6.27116	+	8.63151i	0.341612	+	0.470188i	0.944911	−	0.327326i	$-0.106148\pi$
$337$	6.27116	+	8.63151i	0.341612	+	0.470188i	−0.603300	+	0.797515i	$0.706148\pi$
$338$	−2.65143	−	1.92638i	−0.144219	−	0.104781i
$339$	−10.6251	+	1.05203i	−0.577079	+	0.0571387i
$340$		−	9.50821i		−	0.515655i
$341$	0.500297	+	7.62690i	0.0270926	+	0.413020i
$342$	9.35473	−	20.3473i	0.505846	−	1.10026i
$343$	−0.951057	+	0.309017i	−0.0513522	+	0.0166853i
$344$	1.85077	−	2.54736i	0.0997867	−	0.137345i
$345$	0.446276	−	0.195480i	0.0240267	−	0.0105243i
$346$	−5.90669	+	18.1789i	−0.317546	+	0.977305i
$347$	−5.58224	+	17.1804i	−0.299670	+	0.922291i	0.681942	+	0.731406i	$0.261136\pi$
$347$	−5.58224	+	17.1804i	−0.299670	+	0.922291i	−0.981612	+	0.190885i	$0.938864\pi$
$348$	−4.15910	+	1.82179i	−0.222951	+	0.0976582i
$349$	−4.77734	+	6.57544i	−0.255725	+	0.351975i	−0.917506	−	0.397722i	$-0.869801\pi$
$349$	−4.77734	+	6.57544i	−0.255725	+	0.351975i	0.661781	+	0.749697i	$0.269801\pi$
$350$	−2.54386	+	0.826551i	−0.135975	+	0.0441810i
$351$	12.6270	−	16.7346i	0.673978	−	0.893228i
$352$	−3.21462	−	0.816229i	−0.171340	−	0.0435051i
$353$		−	2.20750i		−	0.117493i	−0.998273	−	0.0587467i	$-0.981290\pi$
$353$		−	2.20750i		−	0.117493i	0.998273	−	0.0587467i	$-0.0187104\pi$
$354$	−9.81559	+	0.971878i	−0.521693	+	0.0516548i
$355$	6.88603	+	5.00299i	0.365472	+	0.265531i
$356$	−10.1631	−	13.9883i	−0.538644	−	0.741380i
$357$	9.32042	+	5.45632i	0.493289	+	0.288779i
$358$	0.294650	+	0.0957376i	0.0155727	+	0.00505989i
$359$	−27.3203	+	19.8494i	−1.44191	+	1.04761i	−0.454273	+	0.890863i	$0.650101\pi$
$359$	−27.3203	+	19.8494i	−1.44191	+	1.04761i	−0.987639	+	0.156747i	$0.949899\pi$
$360$	−3.98901	+	2.23938i	−0.210239	+	0.118026i
$361$	−11.3486	−	34.9275i	−0.597297	−	1.83829i
$362$	−7.35370			−0.386502
$363$	−4.33794	−	18.5522i	−0.227683	−	0.973735i
$364$	−4.03452			−0.211466
$365$	−3.90642	−	12.0227i	−0.204471	−	0.629298i
$366$	−9.24243	+	8.22158i	−0.483109	+	0.429749i
$367$	−7.02805	+	5.10617i	−0.366861	+	0.266540i	−0.755908	−	0.654678i	$-0.772804\pi$
$367$	−7.02805	+	5.10617i	−0.366861	+	0.266540i	0.389047	+	0.921218i	$0.372804\pi$
$368$	0.175441	+	0.0570041i	0.00914547	+	0.00297154i
$369$	5.11434	−	5.54416i	0.266242	−	0.288617i
$370$	−3.78269	−	5.20642i	−0.196652	−	0.270669i
$371$	−1.24897	−	0.907430i	−0.0648433	−	0.0471114i
$372$	0.393298	+	3.97216i	0.0203916	+	0.205947i
$373$			34.8438i			1.80414i	0.431587	+	0.902071i	$0.357954\pi$
$373$			34.8438i			1.80414i	−0.431587	+	0.902071i	$0.642046\pi$
$374$	20.0445	+	5.08953i	1.03648	+	0.263174i
$375$	−4.33385	+	19.8015i	−0.223799	+	1.02255i
$376$	9.84219	−	3.19792i	0.507572	−	0.164920i
$377$	−6.21674	+	8.55661i	−0.320178	+	0.440688i
$378$	0.0939576	−	5.19530i	0.00483266	−	0.267218i
$379$	−1.14996	+	3.53921i	−0.0590694	+	0.181797i	−0.976237	−	0.216704i	$-0.930469\pi$
$379$	−1.14996	+	3.53921i	−0.0590694	+	0.181797i	0.917168	+	0.398501i	$0.130469\pi$
$380$	−3.51755	+	10.8259i	−0.180446	+	0.555356i
$381$	10.7234	+	24.4812i	0.549376	+	1.25421i
$382$	−1.23181	+	1.69544i	−0.0630249	+	0.0867463i
$383$	−6.26211	+	2.03468i	−0.319979	+	0.103967i	−0.464603	−	0.885519i	$-0.653803\pi$
$383$	−6.26211	+	2.03468i	−0.319979	+	0.103967i	0.144624	+	0.989487i	$0.453803\pi$
$384$	−1.69200	−	0.370319i	−0.0863445	−	0.0188978i
$385$	0.331037	+	5.04657i	0.0168712	+	0.257197i
$386$		−	20.4811i		−	1.04246i
$387$	9.38181	+	1.10057i	0.476904	+	0.0559451i
$388$	−11.3757	−	8.26493i	−0.577514	−	0.419588i
$389$	10.3226	+	14.2078i	0.523375	+	0.720364i	0.986103	−	0.166137i	$-0.0531293\pi$
$389$	10.3226	+	14.2078i	0.523375	+	0.720364i	−0.462728	+	0.886500i	$0.653129\pi$
$390$	−5.38341	+	9.19589i	−0.272600	+	0.465652i
$391$	−1.09395	−	0.355445i	−0.0553233	−	0.0179756i
$392$	−0.809017	+	0.587785i	−0.0408615	+	0.0296876i
$393$	−18.4373	−	20.7266i	−0.930040	−	1.04552i
$394$	6.06056	+	18.6525i	0.305327	+	0.939698i
$395$	−14.7427			−0.741787
$396$	−2.58566	−	9.60804i	−0.129935	−	0.482822i
$397$	−34.8903			−1.75109			−0.875547	−	0.483133i	$-0.839499\pi$
$397$	−34.8903			−1.75109			−0.875547	+	0.483133i	$0.839499\pi$
$398$	2.91159	+	8.96096i	0.145945	+	0.449172i
$399$	−8.59353	−	9.66055i	−0.430214	−	0.483632i
$400$	−2.16394	+	1.57219i	−0.108197	+	0.0786097i
$401$	16.0240	+	5.20650i	0.800198	+	0.260000i	0.680441	−	0.732803i	$-0.261788\pi$
$401$	16.0240	+	5.20650i	0.800198	+	0.260000i	0.119757	+	0.992803i	$0.461788\pi$
$402$	0.766499	−	1.30933i	0.0382295	−	0.0653032i
$403$	5.46506	+	7.52201i	0.272234	+	0.374698i
$404$	−8.03957	−	5.84109i	−0.399983	−	0.290605i
$405$	−11.7163	−	7.14645i	−0.582187	−	0.355110i
$406$			2.62151i			0.130104i
$407$	13.0006	−	5.18750i	0.644415	−	0.257135i
$408$	10.5503	+	2.30910i	0.522320	+	0.114317i
$409$	−11.2903	+	3.66846i	−0.558272	+	0.181393i	−0.574543	−	0.818474i	$-0.694820\pi$
$409$	−11.2903	+	3.66846i	−0.558272	+	0.181393i	0.0162716	+	0.999868i	$0.494820\pi$
$410$	−2.25353	+	3.10172i	−0.111294	+	0.153183i
$411$	8.12621	+	18.5519i	0.400836	+	0.915098i
$412$	−5.47446	+	16.8487i	−0.269707	+	0.830074i
$413$	−1.75977	+	5.41603i	−0.0865928	+	0.266505i
$414$	0.108526	+	0.542662i	0.00533376	+	0.0266704i
$415$	−5.67575	+	7.81200i	−0.278612	+	0.383476i
$416$	−3.83706	+	1.24674i	−0.188127	+	0.0611262i
$417$	−2.88824	+	13.1965i	−0.141438	+	0.646234i
$418$	−20.9395	−	13.2103i	−1.02418	−	0.646137i
$419$		−	34.9941i		−	1.70957i	−0.518979	−	0.854787i	$-0.673688\pi$
$419$		−	34.9941i		−	1.70957i	0.518979	−	0.854787i	$-0.326312\pi$
$420$	0.260238	+	2.62830i	0.0126983	+	0.128248i
$421$	21.6029	+	15.6955i	1.05286	+	0.764950i	0.972755	−	0.231836i	$-0.0744734\pi$
$421$	21.6029	+	15.6955i	1.05286	+	0.764950i	0.0801082	+	0.996786i	$0.474473\pi$
$422$	14.3380	+	19.7346i	0.697964	+	0.960665i
$423$	22.8196	+	21.0505i	1.10953	+	1.02351i
$424$	−1.46825	−	0.477064i	−0.0713046	−	0.0231683i
$425$	13.4931	−	9.80330i	0.654511	−	0.475530i
$426$	−7.22363	+	6.42577i	−0.349986	+	0.311329i
$427$	2.20694	+	6.79228i	0.106802	+	0.328701i
$428$	17.4712			0.844500
$429$	−16.5045	−	16.2713i	−0.796844	−	0.785585i
$430$	−4.80137			−0.231543
$431$	−4.26718	−	13.1330i	−0.205543	−	0.632595i	−0.999691	−	0.0248708i	$-0.992083\pi$
$431$	−4.26718	−	13.1330i	−0.205543	−	0.632595i	0.794148	−	0.607724i	$-0.207917\pi$
$432$	−1.51608	−	4.97006i	−0.0729423	−	0.239122i
$433$	−16.2136	+	11.7798i	−0.779174	+	0.566103i	−0.904731	−	0.425983i	$-0.859928\pi$
$433$	−16.2136	+	11.7798i	−0.779174	+	0.566103i	0.125557	+	0.992086i	$0.459928\pi$
$434$	2.19175	+	0.712142i	0.105207	+	0.0341839i
$435$	5.97522	+	3.49798i	0.286490	+	0.167716i
$436$	−2.09359	−	2.88158i	−0.100265	−	0.138002i
$437$	1.11405	+	0.809408i	0.0532924	+	0.0387192i
$438$	14.2891	−	1.41482i	0.682761	−	0.0676027i
$439$			1.39439i			0.0665506i	0.999446	+	0.0332753i	$0.0105938\pi$
$439$			1.39439i			0.0665506i	−0.999446	+	0.0332753i	$0.989406\pi$
$440$	1.87431	+	4.69728i	0.0893543	+	0.223934i
$441$	−2.72573	−	1.25316i	−0.129797	−	0.0596743i
$442$	23.9257	−	7.77393i	1.13803	−	0.369768i
$443$	8.23948	−	11.3407i	0.391470	−	0.538812i	−0.567108	−	0.823643i	$-0.691938\pi$
$443$	8.23948	−	11.3407i	0.391470	−	0.538812i	0.958577	+	0.284832i	$0.0919378\pi$
$444$	6.69570	−	2.93289i	0.317764	−	0.139189i
$445$	−8.14747	+	25.0753i	−0.386227	+	1.18869i
$446$	8.61849	−	26.5250i	0.408097	−	1.25599i
$447$	22.1762	−	9.71372i	1.04890	−	0.459443i
$448$	−0.587785	+	0.809017i	−0.0277702	+	0.0382225i
$449$	−4.34122	+	1.41055i	−0.204875	+	0.0665679i	−0.409657	−	0.912240i	$-0.634352\pi$
$449$	−4.34122	+	1.41055i	−0.204875	+	0.0665679i	0.204782	+	0.978808i	$0.434352\pi$
$450$	−7.29071	−	3.35192i	−0.343687	−	0.158011i
$451$	−5.33256	−	6.41102i	−0.251100	−	0.301883i
$452$			6.16443i			0.289950i
$453$	19.7312	−	1.95366i	0.927053	−	0.0917909i
$454$	15.3391	+	11.1445i	0.719899	+	0.523037i
$455$	3.61612	+	4.97716i	0.169526	+	0.233333i
$456$	−11.1582	−	6.53218i	−0.522531	−	0.305897i
$457$	−35.0871	−	11.4005i	−1.64130	−	0.533292i	−0.664474	−	0.747311i	$-0.731344\pi$
$457$	−35.0871	−	11.4005i	−1.64130	−	0.533292i	−0.976829	+	0.214020i	$0.931344\pi$
$458$	2.11512	−	1.53672i	0.0988330	−	0.0718064i
$459$	9.45339	+	30.9905i	0.441247	+	1.44651i
$460$	−0.0869238	−	0.267524i	−0.00405284	−	0.0124734i
$461$	24.9114			1.16024			0.580121	−	0.814531i	$-0.303005\pi$
$461$	24.9114			1.16024			0.580121	+	0.814531i	$0.303005\pi$
$462$	−5.68009	−	0.858256i	−0.264262	−	0.0399297i
$463$	34.1704			1.58803			0.794017	−	0.607895i	$-0.207986\pi$
$463$	34.1704			1.58803			0.794017	+	0.607895i	$0.207986\pi$
$464$	0.810092	+	2.49321i	0.0376076	+	0.115744i
$465$	4.54772	−	4.04542i	0.210895	−	0.187602i
$466$	−22.1567	+	16.0978i	−1.02639	+	0.745715i
$467$	−2.16472	−	0.703359i	−0.100171	−	0.0325476i	0.258503	−	0.966011i	$-0.416771\pi$
$467$	−2.16472	−	0.703359i	−0.100171	−	0.0325476i	−0.358674	+	0.933463i	$0.616771\pi$
$468$	−8.89641	−	8.20671i	−0.411237	−	0.379355i
$469$	−0.514869	−	0.708657i	−0.0237744	−	0.0327227i
$470$	−12.7666	−	9.27548i	−0.588880	−	0.427846i
$471$	3.67875	+	37.1540i	0.169508	+	1.71196i
$472$			5.69475i			0.262122i
$473$	2.57007	−	10.1219i	0.118172	−	0.465406i
$474$	3.58032	−	16.3586i	0.164449	−	0.751375i
$475$	−18.9897	+	6.17013i	−0.871308	+	0.283105i
$476$	3.66509	−	5.04457i	0.167989	−	0.231217i
$477$	−0.908247	−	4.54151i	−0.0415858	−	0.207941i
$478$	−2.08519	+	6.41757i	−0.0953746	+	0.293533i
$479$	4.14321	−	12.7515i	0.189308	−	0.582630i	−0.810688	−	0.585478i	$-0.800907\pi$
$479$	4.14321	−	12.7515i	0.189308	−	0.582630i	0.999996	+	0.00284856i	$0.000906727\pi$
$480$	1.05969	+	2.41924i	0.0483680	+	0.110423i
$481$	10.0083	−	13.7752i	0.456339	−	0.628096i
$482$	−2.16969	+	0.704976i	−0.0988269	+	0.0321108i
$483$	0.312122	+	0.0683125i	0.0142020	+	0.00310832i
$484$	−10.9057	+	1.43694i	−0.495716	+	0.0653154i
$485$			21.4414i			0.973603i
$486$	10.7751	−	11.2649i	0.488767	−	0.510986i
$487$	8.78932	+	6.38581i	0.398282	+	0.289369i	0.768841	−	0.639440i	$-0.220834\pi$
$487$	8.78932	+	6.38581i	0.398282	+	0.289369i	−0.370559	+	0.928809i	$0.620834\pi$
$488$	4.19786	+	5.77786i	0.190028	+	0.261551i
$489$	−5.76801	+	9.85285i	−0.260838	+	0.445561i
$490$	1.45024	+	0.471210i	0.0655150	+	0.0212871i
$491$	−11.5096	+	8.36223i	−0.519422	+	0.377382i	−0.816386	−	0.577506i	$-0.804026\pi$
$491$	−11.5096	+	8.36223i	−0.519422	+	0.377382i	0.296964	+	0.954889i	$0.404026\pi$
$492$	−2.89440	−	3.25379i	−0.130490	−	0.146692i
$493$	−5.05127	−	15.5462i	−0.227498	−	0.700166i
$494$	−30.1173			−1.35504
$495$	−9.53538	+	11.8014i	−0.428584	+	0.530435i
$496$	2.30454			0.103477
$497$	1.72489	+	5.30866i	0.0773718	+	0.238126i
$498$	−7.28985	−	8.19500i	−0.326666	−	0.367227i
$499$	−27.6315	+	20.0755i	−1.23696	+	0.898702i	−0.997392	−	0.0721784i	$-0.977005\pi$
$499$	−27.6315	+	20.0755i	−1.23696	+	0.898702i	−0.239565	+	0.970880i	$0.577005\pi$
$500$	11.1302	+	3.61643i	0.497759	+	0.161732i
$501$	−5.91640	+	10.1063i	−0.264325	+	0.451518i
$502$	−7.10280	−	9.77617i	−0.317014	−	0.436332i
$503$	−17.5881	−	12.7785i	−0.784214	−	0.569765i	0.122027	−	0.992527i	$-0.461061\pi$
$503$	−17.5881	−	12.7785i	−0.784214	−	0.569765i	−0.906241	+	0.422762i	$0.861061\pi$
$504$	−2.97957	−	0.349530i	−0.132721	−	0.0155693i
$505$			15.1533i			0.674313i
$506$	0.610503	−	0.0400468i	0.0271402	−	0.00178030i
$507$	−5.54528	−	1.21367i	−0.246274	−	0.0539008i
$508$	14.6755	−	4.76835i	0.651119	−	0.211561i
$509$	−20.6539	+	28.4276i	−0.915467	+	1.26003i	0.0497984	+	0.998759i	$0.484142\pi$
$509$	−20.6539	+	28.4276i	−0.915467	+	1.26003i	−0.965265	+	0.261272i	$0.915858\pi$
$510$	−6.60762	−	15.0850i	−0.292590	−	0.667975i
$511$	2.56181	−	7.88443i	0.113328	−	0.348787i
$512$	−0.309017	+	0.951057i	−0.0136568	+	0.0420312i
$513$	0.701385	−	38.7825i	0.0309669	−	1.71229i
$514$	12.9257	−	17.7908i	0.570130	−	0.784717i
$515$	25.6920	−	8.34783i	1.13212	−	0.367849i
$516$	1.16603	−	5.32762i	0.0513315	−	0.234535i
$517$	26.3876	−	21.9487i	1.16052	−	0.965302i
$518$		−	4.22036i		−	0.185432i
$519$	3.26212	+	32.9461i	0.143191	+	1.44617i
$520$	4.97716	+	3.61612i	0.218263	+	0.158577i
$521$	−9.46550	−	13.0281i	−0.414691	−	0.570774i	0.549664	−	0.835386i	$-0.314756\pi$
$521$	−9.46550	−	13.0281i	−0.414691	−	0.570774i	−0.964355	+	0.264613i	$0.914756\pi$
$522$	−5.33248	+	5.78063i	−0.233396	+	0.253011i
$523$	7.07544	+	2.29895i	0.309387	+	0.100526i	0.459595	−	0.888128i	$-0.347994\pi$
$523$	7.07544	+	2.29895i	0.309387	+	0.100526i	−0.150208	+	0.988654i	$0.547994\pi$
$524$	−12.9571	+	9.41391i	−0.566035	+	0.411248i
$525$	−3.46150	+	3.07917i	−0.151072	+	0.134386i
$526$	8.82692	+	27.1665i	0.384872	+	1.18451i
$527$	−14.3698			−0.625958
$528$	−5.66730	+	0.938994i	−0.246638	+	0.0408645i
$529$	22.9660			0.998520
$530$	0.727460	+	2.23889i	0.0315988	+	0.0972512i
$531$	−14.8973	+	8.36314i	−0.646487	+	0.362929i
$532$	−6.03924	+	4.38777i	−0.261834	+	0.190234i
$533$	−9.64741	−	3.13463i	−0.417876	−	0.135776i
$534$	−25.8451	−	15.1301i	−1.11843	−	0.654743i
$535$	−15.6593	−	21.5532i	−0.677011	−	0.931826i
$536$	−0.708657	−	0.514869i	−0.0306093	−	0.0222390i
$537$	0.534001	−	0.0528734i	0.0230439	−	0.00228166i
$538$			7.36118i			0.317363i
$539$	−1.76965	+	2.80506i	−0.0762243	+	0.120822i
$540$	−4.77244	+	6.32494i	−0.205373	+	0.272182i
$541$	−1.02826	+	0.334101i	−0.0442083	+	0.0143641i	−0.331038	−	0.943618i	$-0.607399\pi$
$541$	−1.02826	+	0.334101i	−0.0442083	+	0.0143641i	0.286829	+	0.957982i	$0.407399\pi$
$542$	−9.93835	+	13.6790i	−0.426889	+	0.587562i
$543$	−11.6668	+	5.11036i	−0.500671	+	0.219307i
$544$	1.92685	−	5.93024i	0.0826131	−	0.254257i
$545$	−1.67837	+	5.16548i	−0.0718934	+	0.221265i
$546$	−6.40087	+	2.80374i	−0.273932	+	0.119989i
$547$	19.5352	−	26.8879i	0.835265	−	1.14964i	−0.151655	−	0.988433i	$-0.548460\pi$
$547$	19.5352	−	26.8879i	0.835265	−	1.14964i	0.986920	−	0.161210i	$-0.0515396\pi$
$548$	11.1211	−	3.61347i	0.475070	−	0.154360i
$549$	−8.94985	+	19.4667i	−0.381970	+	0.830817i
$550$	−4.73342	+	7.50289i	−0.201834	+	0.319924i
$551$			19.5694i			0.833683i
$552$	0.317955	−	0.0314819i	0.0135331	−	0.00133996i
$553$	−7.82174	−	5.68282i	−0.332614	−	0.241658i
$554$	−0.358881	−	0.493957i	−0.0152474	−	0.0209862i
$555$	−9.61947	−	5.63138i	−0.408324	−	0.239039i
$556$	7.41761	+	2.41013i	0.314577	+	0.102212i
$557$	32.9776	−	23.9596i	1.39730	−	1.01520i	0.402285	−	0.915514i	$-0.368216\pi$
$557$	32.9776	−	23.9596i	1.39730	−	1.01520i	0.995019	−	0.0996865i	$-0.0317840\pi$
$558$	3.38438	+	6.02861i	0.143272	+	0.255211i
$559$	−3.92561	−	12.0818i	−0.166036	−	0.511005i
$560$	1.52487			0.0644375
$561$	35.3380	−	5.85503i	1.49197	−	0.247199i
$562$	−9.99374			−0.421560
$563$	−10.0416	−	30.9050i	−0.423204	−	1.30249i	−0.904703	−	0.426042i	$-0.859907\pi$
$563$	−10.0416	−	30.9050i	−0.423204	−	1.30249i	0.481499	−	0.876447i	$-0.340093\pi$
$564$	13.3925	−	11.9133i	0.563927	−	0.501640i
$565$	7.60471	−	5.52515i	0.319933	−	0.232445i
$566$	−0.657922	−	0.213772i	−0.0276545	−	0.00898550i
$567$	−3.46135	−	8.30777i	−0.145363	−	0.348894i
$568$	3.28093	+	4.51582i	0.137665	+	0.189479i
$569$	14.5533	+	10.5736i	0.610106	+	0.443268i	0.849452	−	0.527666i	$-0.176933\pi$
$569$	14.5533	+	10.5736i	0.610106	+	0.443268i	−0.239345	+	0.970934i	$0.576933\pi$
$570$	1.94265	+	19.6200i	0.0813687	+	0.821792i
$571$			6.72894i			0.281597i	0.990038	+	0.140799i	$0.0449670\pi$
$571$			6.72894i			0.281597i	−0.990038	+	0.140799i	$0.955033\pi$
$572$	−10.2874	+	8.55687i	−0.430138	+	0.357781i
$573$	−0.776070	+	3.54589i	−0.0324208	+	0.148132i
$574$	−2.39122	+	0.776953i	−0.0998075	+	0.0324294i
$575$	0.290021	−	0.399180i	0.0120947	−	0.0166470i
$576$	−2.94175	+	0.588315i	−0.122573	+	0.0245131i
$577$	6.38508	−	19.6513i	0.265814	−	0.818093i	−0.725690	−	0.688022i	$-0.758479\pi$
$577$	6.38508	−	19.6513i	0.265814	−	0.818093i	0.991505	−	0.130071i	$-0.0415206\pi$
$578$	−6.76146	+	20.8096i	−0.281240	+	0.865567i
$579$	−14.2331	−	32.4937i	−0.591506	−	1.35039i
$580$	2.34965	−	3.23402i	0.0975639	−	0.134285i
$581$	−6.02252	+	1.95684i	−0.249856	+	0.0811833i
$582$	−23.7914	−	5.20711i	−0.986187	−	0.215842i
$583$	−5.10926	+	0.335149i	−0.211604	+	0.0138805i
$584$		−	8.29018i		−	0.343050i
$585$	−2.15035	+	18.3306i	−0.0889059	+	0.757879i
$586$	−9.45298	−	6.86799i	−0.390499	−	0.283714i
$587$	−25.0294	−	34.4500i	−1.03307	−	1.42191i	−0.902614	−	0.430452i	$-0.858354\pi$
$587$	−25.0294	−	34.4500i	−1.03307	−	1.42191i	−0.130461	−	0.991453i	$-0.541646\pi$
$588$	−0.875051	+	1.49475i	−0.0360865	+	0.0616426i
$589$	16.3612	+	5.31608i	0.674152	+	0.219045i
$590$	7.02529	−	5.10418i	0.289227	−	0.210136i
$591$	22.5775	+	25.3809i	0.928716	+	1.04403i
$592$	−1.30416	−	4.01380i	−0.0536007	−	0.164966i
$593$	10.9708			0.450516			0.225258	−	0.974299i	$-0.427677\pi$
$593$	10.9708			0.450516			0.225258	+	0.974299i	$0.427677\pi$
$594$	−10.7792	−	13.4465i	−0.442276	−	0.551717i
$595$	−9.50821			−0.389799
$596$	−4.31939	−	13.2937i	−0.176929	−	0.544531i
$597$	10.8466	+	12.1934i	0.443923	+	0.499043i
$598$	0.602106	−	0.437456i	0.0246220	−	0.0178889i
$599$	−36.4041	−	11.8284i	−1.48743	−	0.483296i	−0.551108	−	0.834434i	$-0.685795\pi$
$599$	−36.4041	−	11.8284i	−1.48743	−	0.483296i	−0.936324	+	0.351138i	$0.885795\pi$
$600$	−2.34057	+	3.99813i	−0.0955532	+	0.163223i
$601$	−7.91785	−	10.8980i	−0.322976	−	0.444538i	0.616397	−	0.787436i	$-0.288592\pi$
$601$	−7.91785	−	10.8980i	−0.322976	−	0.444538i	−0.939373	+	0.342897i	$0.888592\pi$
$602$	−2.54736	−	1.85077i	−0.103823	−	0.0754316i
$603$	0.306170	−	2.60995i	0.0124682	−	0.106285i
$604$		−	11.4475i		−	0.465793i
$605$	11.5474	+	12.1659i	0.469470	+	0.494614i
$606$	−16.8142	−	3.68003i	−0.683029	−	0.149491i
$607$	−9.78968	+	3.18086i	−0.397351	+	0.129107i	−0.500875	−	0.865520i	$-0.666988\pi$
$607$	−9.78968	+	3.18086i	−0.397351	+	0.129107i	0.103524	+	0.994627i	$0.466988\pi$
$608$	−4.38777	+	6.03924i	−0.177947	+	0.244924i
$609$	1.82179	+	4.15910i	0.0738226	+	0.168535i
$610$	3.36530	−	10.3573i	0.136257	−	0.419356i
$611$	12.9021	−	39.7085i	0.521962	−	1.60643i
$612$	18.3431	−	3.66839i	0.741474	−	0.148286i
$613$	−1.27126	+	1.74974i	−0.0513456	+	0.0706712i	−0.833918	−	0.551889i	$-0.813907\pi$
$613$	−1.27126	+	1.74974i	−0.0513456	+	0.0706712i	0.782572	+	0.622560i	$0.213907\pi$
$614$	5.83946	−	1.89736i	0.235661	−	0.0765711i
$615$	−1.41978	+	6.48702i	−0.0572511	+	0.261582i
$616$	−0.816229	+	3.21462i	−0.0328868	+	0.129521i
$617$		−	28.7891i		−	1.15900i	−0.814971	−	0.579502i	$-0.803247\pi$
$617$		−	28.7891i		−	1.15900i	0.814971	−	0.579502i	$-0.196753\pi$
$618$	3.02341	+	30.5352i	0.121619	+	1.22831i
$619$	17.8290	+	12.9535i	0.716607	+	0.520646i	0.885298	−	0.465023i	$-0.153954\pi$
$619$	17.8290	+	12.9535i	0.716607	+	0.520646i	−0.168691	+	0.985669i	$0.553954\pi$
$620$	−2.06555	−	2.84298i	−0.0829544	−	0.114177i
$621$	0.549296	+	0.785528i	0.0220425	+	0.0315221i
$622$	0.803516	+	0.261078i	0.0322180	+	0.0104683i
$623$	−13.9883	+	10.1631i	−0.560431	+	0.407177i
$624$	−5.22118	+	4.64449i	−0.209015	+	0.185929i
$625$	−1.38183	−	4.25284i	−0.0552732	−	0.170114i
$626$	−2.32049			−0.0927453
$627$	−42.4014	−	6.40681i	−1.69335	−	0.255863i
$628$	21.5557			0.860168
$629$	8.13201	+	25.0277i	0.324244	+	0.997922i
$630$	2.23938	+	3.98901i	0.0892189	+	0.158926i
$631$	28.0280	−	20.3635i	1.11578	−	0.810660i	0.132214	−	0.991221i	$-0.457791\pi$
$631$	28.0280	−	20.3635i	1.11578	−	0.810660i	0.983564	+	0.180561i	$0.0577914\pi$
$632$	−9.19500	−	2.98764i	−0.365758	−	0.118842i
$633$	36.4619	+	21.3454i	1.44923	+	0.848403i
$634$	−9.11564	−	12.5466i	−0.362029	−	0.498289i
$635$	−19.0360	−	13.8305i	−0.755421	−	0.548846i
$636$	−2.66095	+	0.263470i	−0.105513	+	0.0104473i
$637$			4.03452i			0.159853i
$638$	5.56000	+	6.68446i	0.220123	+	0.264640i
$639$	−6.99496	+	15.2146i	−0.276716	+	0.601881i
$640$	1.45024	−	0.471210i	0.0573256	−	0.0186262i
$641$	1.91661	−	2.63799i	0.0757015	−	0.104194i	−0.769487	−	0.638662i	$-0.779488\pi$
$641$	1.91661	−	2.63799i	0.0757015	−	0.104194i	0.845189	+	0.534468i	$0.179488\pi$
$642$	27.7184	−	12.1414i	1.09396	−	0.479182i
$643$	8.35759	−	25.7220i	0.329591	−	1.01438i	−0.639734	−	0.768596i	$-0.720956\pi$
$643$	8.35759	−	25.7220i	0.329591	−	1.01438i	0.969325	−	0.245781i	$-0.0790445\pi$
$644$	0.0570041	−	0.175441i	0.00224628	−	0.00691333i
$645$	−7.61750	+	3.33666i	−0.299939	+	0.131381i
$646$	27.3596	−	37.6573i	1.07645	−	1.48161i
$647$	−4.27339	+	1.38851i	−0.168004	+	0.0545879i	−0.391811	−	0.920046i	$-0.628151\pi$
$647$	−4.27339	+	1.38851i	−0.168004	+	0.0545879i	0.223807	+	0.974633i	$0.428151\pi$
$648$	−5.85918	−	6.83155i	−0.230170	−	0.268368i
$649$	6.99977	+	17.5424i	0.274765	+	0.688598i
$650$			10.7914i			0.423275i
$651$	3.97216	−	0.393298i	0.155681	−	0.0154146i
$652$	5.33274	+	3.87446i	0.208846	+	0.151736i
$653$	16.6650	+	22.9374i	0.652151	+	0.897608i	0.999190	−	0.0402423i	$-0.0128130\pi$
$653$	16.6650	+	22.9374i	0.652151	+	0.897608i	−0.347039	+	0.937851i	$0.612813\pi$
$654$	−5.32404	−	3.11678i	−0.208187	−	0.121876i
$655$	23.2268	+	7.54686i	0.907548	+	0.294880i
$656$	−2.03409	+	1.47785i	−0.0794179	+	0.0577005i
$657$	21.6869	−	12.1747i	0.846085	−	0.474981i
$658$	−3.19792	−	9.84219i	−0.124668	−	0.383688i
$659$	28.1230			1.09552			0.547758	−	0.836637i	$-0.315482\pi$
$659$	28.1230			1.09552			0.547758	+	0.836637i	$0.315482\pi$
$660$	6.23796	+	6.14982i	0.242812	+	0.239381i
$661$	24.0207			0.934296			0.467148	−	0.884179i	$-0.345282\pi$
$661$	24.0207			0.934296			0.467148	+	0.884179i	$0.345282\pi$
$662$	−4.09679	−	12.6086i	−0.159226	−	0.490048i
$663$	32.5563	−	28.9604i	1.26438	−	1.12473i
$664$	−5.12306	+	3.72212i	−0.198813	+	0.144446i
$665$	10.8259	+	3.51755i	0.419810	+	0.136405i
$666$	8.58472	−	9.30620i	0.332651	−	0.360608i
$667$	−0.284246	−	0.391231i	−0.0110061	−	0.0151485i
$668$	5.46993	+	3.97414i	0.211638	+	0.153764i
$669$	−4.75977	−	48.0718i	−0.184023	−	1.85856i
$670$			1.33571i			0.0516028i
$671$	20.0332	+	12.6385i	0.773373	+	0.487905i
$672$	−0.370319	+	1.69200i	−0.0142854	+	0.0652703i
$673$	23.2388	−	7.55074i	0.895789	−	0.291060i	0.175291	−	0.984517i	$-0.443913\pi$
$673$	23.2388	−	7.55074i	0.895789	−	0.291060i	0.720498	+	0.693457i	$0.243913\pi$
$674$	6.27116	−	8.63151i	0.241556	−	0.332473i
$675$	−13.8963	−	0.251315i	−0.534868	−	0.00967314i
$676$	−1.01276	+	3.11694i	−0.0389522	+	0.119882i
$677$	1.05004	−	3.23170i	0.0403565	−	0.124204i	−0.928849	−	0.370460i	$-0.879200\pi$
$677$	1.05004	−	3.23170i	0.0403565	−	0.124204i	0.969205	+	0.246255i	$0.0792002\pi$
$678$	4.28389	+	9.78002i	0.164522	+	0.375599i
$679$	−8.26493	+	11.3757i	−0.317179	+	0.436559i
$680$	−9.04284	+	2.93820i	−0.346777	+	0.112675i
$681$	32.0806	+	7.02131i	1.22933	+	0.269057i
$682$	7.09901	−	2.83265i	0.271835	−	0.108468i
$683$			24.6752i			0.944171i	0.881553	+	0.472086i	$0.156499\pi$
$683$			24.6752i			0.944171i	−0.881553	+	0.472086i	$0.843501\pi$
$684$	−22.2422	−	2.60921i	−0.850453	−	0.0997657i
$685$	−14.4255	−	10.4808i	−0.551171	−	0.400449i
$686$	0.587785	+	0.809017i	0.0224417	+	0.0308884i
$687$	2.28776	−	3.90793i	0.0872835	−	0.149097i
$688$	−2.99460	−	0.973006i	−0.114168	−	0.0370955i
$689$	−5.03899	+	3.66104i	−0.191970	+	0.139475i
$690$	−0.323819	−	0.364027i	−0.0123276	−	0.0138583i
$691$	−7.15933	−	22.0342i	−0.272354	−	0.838219i	−0.989907	−	0.141716i	$-0.954738\pi$
$691$	−7.15933	−	22.0342i	−0.272354	−	0.838219i	0.717554	−	0.696503i	$-0.245262\pi$
$692$	19.1145			0.726622
$693$	−9.60804	+	2.58566i	−0.364979	+	0.0982213i
$694$	18.0645			0.685720
$695$	−3.67513	−	11.3109i	−0.139406	−	0.429046i
$696$	3.01786	+	3.39257i	0.114392	+	0.128595i
$697$	12.6834	−	9.21505i	0.480419	−	0.349045i
$698$	7.72989	+	2.51159i	0.292581	+	0.0950652i
$699$	−23.9652	+	40.9370i	−0.906446	+	1.54838i
$700$	1.57219	+	2.16394i	0.0594233	+	0.0817892i
$701$	−3.57409	−	2.59672i	−0.134991	−	0.0980769i	0.518240	−	0.855235i	$-0.326587\pi$
$701$	−3.57409	−	2.59672i	−0.134991	−	0.0980769i	−0.653232	+	0.757158i	$0.726587\pi$
$702$	−19.8175	−	6.83769i	−0.747964	−	0.258072i
$703$		−	31.5046i		−	1.18822i
$704$	0.217092	+	3.30951i	0.00818197	+	0.124732i
$705$	−26.7004	−	5.84378i	−1.00560	−	0.220090i
$706$	−2.09946	+	0.682155i	−0.0790141	+	0.0256732i
$707$	−5.84109	+	8.03957i	−0.219677	+	0.302359i
$708$	3.95750	+	9.03486i	0.148732	+	0.339551i
$709$	8.24757	−	25.3834i	0.309744	−	0.953294i	−0.668120	−	0.744053i	$-0.732901\pi$
$709$	8.24757	−	25.3834i	0.309744	−	0.953294i	0.977864	−	0.209241i	$-0.0670992\pi$
$710$	2.63023	−	8.09501i	0.0987107	−	0.303800i
$711$	−5.68794	−	28.4414i	−0.213315	−	1.06664i
$712$	−10.1631	+	13.9883i	−0.380879	+	0.524235i
$713$	−0.404310	+	0.131368i	−0.0151415	+	0.00491978i
$714$	2.30910	−	10.5503i	0.0864158	−	0.394837i
$715$	19.7767	+	5.02153i	0.739606	+	0.187795i
$716$		−	0.309813i		−	0.0115783i
$717$	1.15160	+	11.6307i	0.0430073	+	0.434357i
$718$	27.3203	+	19.8494i	1.01959	+	0.740772i
$719$	−16.9299	−	23.3020i	−0.631377	−	0.869017i	0.366742	−	0.930323i	$-0.380473\pi$
$719$	−16.9299	−	23.3020i	−0.631377	−	0.869017i	−0.998119	+	0.0613063i	$0.980473\pi$
$720$	3.36245	+	3.10177i	0.125311	+	0.115596i
$721$	16.8487	+	5.47446i	0.627477	+	0.203880i
$722$	−29.7111	+	21.5864i	−1.10573	+	0.803362i
$723$	−2.95236	+	2.62627i	−0.109799	+	0.0976719i
$724$	2.27242	+	6.99378i	0.0844537	+	0.259922i
$725$	7.01196			0.260418
$726$	−16.3036	+	9.85855i	−0.605085	+	0.365885i
$727$	−19.9572			−0.740170			−0.370085	−	0.928998i	$-0.620671\pi$
$727$	−19.9572			−0.740170			−0.370085	+	0.928998i	$0.620671\pi$
$728$	1.24674	+	3.83706i	0.0462071	+	0.142211i
$729$	9.26650	−	25.3600i	0.343204	−	0.939261i
$730$	−10.2271	+	7.43045i	−0.378523	+	0.275013i
$731$	18.6726	+	6.06711i	0.690632	+	0.224400i
$732$	10.6753	+	6.24946i	0.394569	+	0.230987i
$733$	19.9569	+	27.4684i	0.737126	+	1.01457i	0.998779	+	0.0494049i	$0.0157325\pi$
$733$	19.9569	+	27.4684i	0.737126	+	1.01457i	−0.261653	+	0.965162i	$0.584268\pi$
$734$	7.02805	+	5.10617i	0.259410	+	0.188472i
$735$	2.62830	−	0.260238i	0.0969462	−	0.00959901i
$736$		−	0.184469i		−	0.00679962i
$737$	−2.81584	−	0.714974i	−0.103723	−	0.0263364i
$738$	−6.85323	−	3.15079i	−0.252271	−	0.115982i
$739$	9.46131	−	3.07416i	0.348040	−	0.113085i	−0.129780	−	0.991543i	$-0.541427\pi$
$739$	9.46131	−	3.07416i	0.348040	−	0.113085i	0.477820	+	0.878458i	$0.341427\pi$
$740$	−3.78269	+	5.20642i	−0.139054	+	0.191392i
$741$	−47.7819	+	20.9297i	−1.75531	+	0.768871i
$742$	−0.477064	+	1.46825i	−0.0175136	+	0.0539012i
$743$	−5.16943	+	15.9099i	−0.189648	+	0.583677i	−0.999997	−	0.00227025i	$-0.999277\pi$
$743$	−5.16943	+	15.9099i	−0.189648	+	0.583677i	0.810349	+	0.585947i	$0.199277\pi$
$744$	3.65621	−	1.60151i	0.134043	−	0.0587143i
$745$	−12.5283	+	17.2437i	−0.459000	+	0.631759i
$746$	33.1384	−	10.7673i	1.21328	−	0.394220i
$747$	−17.2605	−	7.93558i	−0.631530	−	0.290348i
$748$	−1.35366	−	20.6362i	−0.0494948	−	0.754535i
$749$		−	17.4712i		−	0.638382i
$750$	20.1716	−	1.99726i	0.736563	−	0.0729298i
$751$	−7.85007	−	5.70341i	−0.286453	−	0.208120i	0.435274	−	0.900298i	$-0.356652\pi$
$751$	−7.85007	−	5.70341i	−0.286453	−	0.208120i	−0.721727	+	0.692178i	$0.756652\pi$
$752$	−6.08281	−	8.37227i	−0.221817	−	0.305305i
$753$	−18.0626	−	10.5741i	−0.658238	−	0.385343i
$754$	10.0589	+	3.26833i	0.366323	+	0.119026i
$755$	−14.1222	+	10.2604i	−0.513958	+	0.373413i
$756$	−4.97006	+	1.51608i	−0.180759	+	0.0551392i
$757$	−4.90838	−	15.1064i	−0.178398	−	0.549053i	0.821374	−	0.570390i	$-0.193208\pi$
$757$	−4.90838	−	15.1064i	−0.178398	−	0.549053i	−0.999772	+	0.0213369i	$0.993208\pi$
$758$	3.72134			0.135165
$759$	0.940748	−	0.487797i	0.0341470	−	0.0177059i
$760$	11.3830			0.412905
$761$	−10.0231	−	30.8479i	−0.363337	−	1.11824i	−0.951016	−	0.309141i	$-0.899958\pi$
$761$	−10.0231	−	30.8479i	−0.363337	−	1.11824i	0.587679	−	0.809094i	$-0.300042\pi$
$762$	19.9693	−	17.7637i	0.723412	−	0.643510i
$763$	−2.88158	+	2.09359i	−0.104320	+	0.0757929i
$764$	1.99311	+	0.647601i	0.0721082	+	0.0234294i
$765$	−20.9663	−	19.3409i	−0.758038	−	0.699270i
$766$	3.87020	+	5.32687i	0.139836	+	0.192468i
$767$	18.5876	+	13.5047i	0.671160	+	0.487626i
$768$	0.170662	+	1.72362i	0.00615824	+	0.0621959i
$769$			14.4909i			0.522554i	0.965264	+	0.261277i	$0.0841437\pi$
$769$			14.4909i			0.522554i	−0.965264	+	0.261277i	$0.915856\pi$
$770$	4.69728	−	1.87431i	0.169278	−	0.0675455i
$771$	8.14353	−	37.2081i	0.293282	−	1.34002i
$772$	−19.4787	+	6.32900i	−0.701052	+	0.227786i
$773$	−1.23867	+	1.70489i	−0.0445519	+	0.0613205i	−0.830712	−	0.556703i	$-0.812066\pi$
$773$	−1.23867	+	1.70489i	−0.0445519	+	0.0613205i	0.786160	+	0.618023i	$0.212066\pi$
$774$	−1.85243	−	9.26272i	−0.0665844	−	0.332942i
$775$	1.90482	−	5.86243i	0.0684231	−	0.210585i
$776$	−4.34513	+	13.3729i	−0.155981	+	0.480060i
$777$	−2.93289	−	6.69570i	−0.105217	−	0.240207i
$778$	10.3226	−	14.2078i	0.370082	−	0.509374i
$779$	−17.8502	+	5.79989i	−0.639551	+	0.207803i
$780$	10.4094	+	2.27825i	0.372715	+	0.0815743i
$781$	15.6574	+	9.87794i	0.560266	+	0.353460i
$782$			1.15024i			0.0411326i
$783$	−4.44293	+	12.8769i	−0.158777	+	0.460181i
$784$	0.809017	+	0.587785i	0.0288935	+	0.0209923i
$785$	−19.3203	−	26.5921i	−0.689572	−	0.949114i
$786$	−14.0147	+	23.9398i	−0.499889	+	0.853905i
$787$	40.2401	+	13.0748i	1.43440	+	0.466066i	0.920148	−	0.391571i	$-0.128068\pi$
$787$	40.2401	+	13.0748i	1.43440	+	0.466066i	0.514256	+	0.857637i	$0.328068\pi$
$788$	15.8667	−	11.5279i	0.565230	−	0.410663i
$789$	32.8831	+	36.9661i	1.17067	+	1.31603i
$790$	4.55575	+	14.0212i	0.162086	+	0.498851i
$791$	6.16443			0.219182
$792$	−8.33877	+	5.42816i	−0.296305	+	0.192881i
$793$	28.8138			1.02321
$794$	10.7817	+	33.1826i	0.382628	+	1.17761i
$795$	2.71002	+	3.04652i	0.0961147	+	0.108049i
$796$	7.62265	−	5.53818i	0.270178	−	0.196296i
$797$	−12.4545	−	4.04671i	−0.441161	−	0.143342i	0.0800104	−	0.996794i	$-0.474505\pi$
$797$	−12.4545	−	4.04671i	−0.441161	−	0.143342i	−0.521171	+	0.853452i	$0.674505\pi$
$798$	−6.53218	+	11.1582i	−0.231237	+	0.394996i
$799$	37.9289	+	52.2047i	1.34183	+	1.84687i
$800$	2.16394	+	1.57219i	0.0765068	+	0.0555854i
$801$	−51.5183	−	6.04356i	−1.82031	−	0.213539i
$802$		−	16.8486i		−	0.594944i
$803$	−10.1900	−	25.5375i	−0.359596	−	0.901198i
$804$	−1.48210	−	0.324380i	−0.0522698	−	0.0114400i
$805$	−0.267524	+	0.0869238i	−0.00942898	+	0.00306366i
$806$	5.46506	−	7.52201i	0.192498	−	0.264951i
$807$	5.11557	+	11.6787i	0.180076	+	0.411110i
$808$	−3.07084	+	9.45108i	−0.108032	+	0.332488i
$809$	14.9643	−	46.0554i	0.526116	−	1.61922i	−0.235981	−	0.971758i	$-0.575830\pi$
$809$	14.9643	−	46.0554i	0.526116	−	1.61922i	0.762097	−	0.647462i	$-0.224170\pi$
$810$	−3.17614	+	13.3512i	−0.111598	+	0.469114i
$811$	4.50848	−	6.20540i	0.158314	−	0.217901i	−0.722490	−	0.691381i	$-0.757003\pi$
$811$	4.50848	−	6.20540i	0.158314	−	0.217901i	0.880804	+	0.473480i	$0.157003\pi$
$812$	2.49321	−	0.810092i	0.0874944	−	0.0284287i
$813$	−6.26141	+	28.6086i	−0.219597	+	1.00335i
$814$	−8.95101	−	10.7613i	−0.313733	−	0.377182i
$815$		−	10.0514i		−	0.352084i
$816$	−1.06415	−	10.7475i	−0.0372528	−	0.376239i
$817$	−19.0158	−	13.8158i	−0.665280	−	0.483354i
$818$	6.97782	+	9.60414i	0.243974	+	0.335801i
$819$	−8.20671	+	8.89641i	−0.286766	+	0.310866i
$820$	3.64629	+	1.18475i	0.127334	+	0.0413733i
$821$	−33.9229	+	24.6464i	−1.18392	+	0.860166i	−0.992608	−	0.121364i	$-0.961273\pi$
$821$	−33.9229	+	24.6464i	−1.18392	+	0.860166i	−0.191309	+	0.981530i	$0.561273\pi$
$822$	15.1328	−	13.4613i	0.527816	−	0.469518i
$823$	12.7744	+	39.3155i	0.445287	+	1.37045i	0.882168	+	0.470934i	$0.156083\pi$
$823$	12.7744	+	39.3155i	0.445287	+	1.37045i	−0.436881	+	0.899519i	$0.643917\pi$
$824$	17.7157			0.617157
$825$	−2.29564	+	15.1930i	−0.0799240	+	0.528951i
$826$	5.69475			0.198146
$827$	7.23021	+	22.2523i	0.251419	+	0.773788i	0.994514	+	0.104602i	$0.0333569\pi$
$827$	7.23021	+	22.2523i	0.251419	+	0.773788i	−0.743095	+	0.669186i	$0.766643\pi$
$828$	0.482566	−	0.270906i	0.0167703	−	0.00941464i
$829$	12.1533	−	8.82987i	0.422101	−	0.306674i	−0.356382	−	0.934340i	$-0.615990\pi$
$829$	12.1533	−	8.82987i	0.422101	−	0.306674i	0.778482	+	0.627666i	$0.215990\pi$
$830$	9.18356	+	2.98392i	0.318766	+	0.103573i
$831$	−0.912642	−	0.534275i	−0.0316592	−	0.0185338i
$832$	2.37143	+	3.26400i	0.0822146	+	0.113159i
$833$	−5.04457	−	3.66509i	−0.174784	−	0.126988i
$834$	13.4431	−	1.33105i	0.465497	−	0.0460906i
$835$		−	10.3100i		−	0.356791i
$836$	−6.09308	+	23.9969i	−0.210734	+	0.829949i
$837$	9.55891	+	7.21260i	0.330404	+	0.249304i
$838$	−33.2814	+	10.8138i	−1.14969	+	0.373556i
$839$	−14.8256	+	20.4057i	−0.511836	+	0.704482i	−0.984228	−	0.176907i	$-0.943391\pi$
$839$	−14.8256	+	20.4057i	−0.511836	+	0.704482i	0.472392	+	0.881389i	$0.343391\pi$
$840$	2.41924	−	1.05969i	0.0834718	−	0.0365628i
$841$	−6.83783	+	21.0447i	−0.235787	+	0.725678i
$842$	8.25159	−	25.3958i	0.284369	−	0.875196i
$843$	−15.8553	+	6.94503i	−0.546086	+	0.239199i
$844$	14.3380	−	19.7346i	0.493535	−	0.679292i
$845$	4.75293	−	1.54432i	0.163506	−	0.0531263i
$846$	12.9686	−	28.2077i	0.445868	−	0.969801i
$847$	1.43694	+	10.9057i	0.0493738	+	0.374726i
$848$			1.54381i			0.0530147i
$849$	−1.19237	+	0.118061i	−0.0409220	+	0.00405184i
$850$	−13.4931	−	9.80330i	−0.462809	−	0.336250i
$851$	0.457606	+	0.629841i	0.0156865	+	0.0215907i
$852$	8.34349	+	4.88441i	0.285843	+	0.167337i
$853$	−7.26973	−	2.36208i	−0.248911	−	0.0808761i	0.181904	−	0.983316i	$-0.441774\pi$
$853$	−7.26973	−	2.36208i	−0.248911	−	0.0808761i	−0.430815	+	0.902440i	$0.641774\pi$
$854$	5.77786	−	4.19786i	0.197714	−	0.143648i
$855$	16.7168	+	29.7776i	0.571701	+	1.01837i
$856$	−5.39888	−	16.6161i	−0.184530	−	0.567925i
$857$	35.8005			1.22292			0.611462	−	0.791274i	$-0.290582\pi$
$857$	35.8005			1.22292			0.611462	+	0.791274i	$0.290582\pi$
$858$	−10.3747	+	20.7248i	−0.354188	+	0.707533i
$859$	−33.9067			−1.15688			−0.578441	−	0.815724i	$-0.696339\pi$
$859$	−33.9067			−1.15688			−0.578441	+	0.815724i	$0.696339\pi$
$860$	1.48371	+	4.56638i	0.0505940	+	0.155712i
$861$	−3.25379	+	2.89440i	−0.110889	+	0.0986410i
$862$	−11.1716	+	8.11665i	−0.380507	+	0.276454i
$863$	−52.0489	−	16.9117i	−1.77177	−	0.575681i	−0.773458	−	0.633847i	$-0.781475\pi$
$863$	−52.0489	−	16.9117i	−1.77177	−	0.575681i	−0.998307	+	0.0581657i	$0.981475\pi$
$864$	−4.25832	+	2.97771i	−0.144871	+	0.101304i
$865$	−17.1322	−	23.5804i	−0.582512	−	0.801759i
$866$	16.2136	+	11.7798i	0.550959	+	0.400295i
$867$	3.73418	+	37.7138i	0.126820	+	1.28083i
$868$		−	2.30454i		−	0.0782212i
$869$	−31.9970	+	2.09889i	−1.08542	+	0.0711999i
$870$	1.48034	−	6.76371i	0.0501881	−	0.229311i
$871$	−3.36106	+	1.09207i	−0.113885	+	0.0370035i
$872$	−2.09359	+	2.88158i	−0.0708978	+	0.0975824i
$873$	−41.3643	+	8.27237i	−1.39997	+	0.279977i
$874$	0.425531	−	1.30965i	0.0143938	−	0.0442995i
$875$	3.61643	−	11.1302i	0.122258	−	0.376271i
$876$	−5.76116	−	13.1526i	−0.194652	−	0.444384i
$877$	−11.5993	+	15.9651i	−0.391681	+	0.539102i	−0.958632	−	0.284649i	$-0.908123\pi$
$877$	−11.5993	+	15.9651i	−0.391681	+	0.539102i	0.566951	+	0.823752i	$0.308123\pi$
$878$	1.32614	−	0.430890i	0.0447552	−	0.0145418i
$879$	−19.7702	−	4.32700i	−0.666833	−	0.145946i
$880$	3.88818	−	3.23411i	0.131071	−	0.109022i
$881$		−	21.3054i		−	0.717797i	−0.933377	−	0.358898i	$-0.883153\pi$
$881$		−	21.3054i		−	0.717797i	0.933377	−	0.358898i	$-0.116847\pi$
$882$	−0.349530	+	2.97957i	−0.0117693	+	0.100327i
$883$	−1.40301	−	1.01934i	−0.0472150	−	0.0343037i	0.563927	−	0.825824i	$-0.309290\pi$
$883$	−1.40301	−	1.01934i	−0.0472150	−	0.0343037i	−0.611142	+	0.791521i	$0.709290\pi$
$884$	−14.7869	−	20.3524i	−0.497337	−	0.684525i
$885$	7.59872	−	12.9800i	0.255428	−	0.436319i
$886$	−13.3318	−	4.33175i	−0.447889	−	0.145528i
$887$	−30.1725	+	21.9216i	−1.01309	+	0.736056i	−0.964856	−	0.262780i	$-0.915361\pi$
$887$	−30.1725	+	21.9216i	−1.01309	+	0.736056i	−0.0482387	+	0.998836i	$0.515361\pi$
$888$	−4.85843	−	5.46168i	−0.163038	−	0.183282i
$889$	−4.76835	−	14.6755i	−0.159925	−	0.492200i
$890$	26.3658			0.883783
$891$	−26.4460	−	13.8423i	−0.885974	−	0.463736i
$892$	−27.8900			−0.933826
$893$	−23.8722	−	73.4711i	−0.798853	−	2.45862i
$894$	−16.0911	−	18.0891i	−0.538167	−	0.604989i
$895$	−0.382200	+	0.277684i	−0.0127755	+	0.00928196i
$896$	0.951057	+	0.309017i	0.0317726	+	0.0103235i
$897$	0.651252	−	1.11246i	0.0217447	−	0.0371440i
$898$	2.68302	+	3.69287i	0.0895337	+	0.123233i
$899$	−4.88758	−	3.55103i	−0.163010	−	0.118434i
$900$	−0.934914	+	7.96968i	−0.0311638	+	0.265656i
$901$		−	9.62632i		−	0.320699i
$902$	−4.44939	+	7.05268i	−0.148148	+	0.234828i
$903$	−5.32762	−	1.16603i	−0.177292	−	0.0388030i
$904$	5.86272	−	1.90491i	0.194991	−	0.0633564i
$905$	6.59108	−	9.07185i	0.219095	−	0.301558i
$906$	−7.95532	−	18.1618i	−0.264298	−	0.603384i
$907$	−2.86116	+	8.80575i	−0.0950033	+	0.292390i	−0.987255	−	0.159149i	$-0.949125\pi$
$907$	−2.86116	+	8.80575i	−0.0950033	+	0.292390i	0.892251	+	0.451539i	$0.149125\pi$
$908$	5.85901	−	18.0322i	0.194438	−	0.598419i
$909$	−29.2335	+	5.84635i	−0.969613	+	0.193911i
$910$	3.61612	−	4.97716i	0.119873	−	0.164991i
$911$	−10.6251	+	3.45232i	−0.352026	+	0.114380i	−0.479692	−	0.877437i	$-0.659252\pi$
$911$	−10.6251	+	3.45232i	−0.352026	+	0.114380i	0.127666	+	0.991817i	$0.459252\pi$
$912$	−2.76440	+	12.6306i	−0.0915385	+	0.418242i
$913$	−11.2062	+	17.7629i	−0.370872	+	0.587866i
$914$			36.8927i			1.22030i
$915$	−1.85857	−	18.7708i	−0.0614424	−	0.620545i
$916$	−2.11512	−	1.53672i	−0.0698855	−	0.0507748i
$917$	9.41391	+	12.9571i	0.310875	+	0.427882i
$918$	26.5524	−	18.5673i	0.876360	−	0.612812i
$919$	−33.2516	−	10.8041i	−1.09687	−	0.356394i	−0.295971	−	0.955197i	$-0.595643\pi$
$919$	−33.2516	−	10.8041i	−1.09687	−	0.356394i	−0.800896	+	0.598803i	$0.795643\pi$
$920$	−0.227569	+	0.165339i	−0.00750274	+	0.00545106i
$921$	7.94591	−	7.06827i	0.261826	−	0.232907i
$922$	−7.69806	−	23.6922i	−0.253522	−	0.780260i
$923$	22.5201			0.741258
$924$	0.938994	+	5.66730i	0.0308906	+	0.186440i
$925$	−11.2885			−0.371164
$926$	−10.5592	−	32.4980i	−0.346998	−	1.06795i
$927$	26.0168	+	46.3438i	0.854504	+	1.52213i
$928$	2.12085	−	1.54089i	0.0696203	−	0.0505821i
$929$	50.7260	+	16.4819i	1.66426	+	0.540752i	0.981759	−	0.190128i	$-0.0608904\pi$
$929$	50.7260	+	16.4819i	1.66426	+	0.540752i	0.682505	+	0.730881i	$0.260890\pi$
$930$	−5.25274	−	3.07504i	−0.172244	−	0.100834i
$931$	4.38777	+	6.03924i	0.143803	+	0.197928i
$932$	22.1567	+	16.0978i	0.725766	+	0.527300i
$933$	1.45623	−	0.144187i	0.0476748	−	0.00472046i
$934$			2.27612i			0.0744768i
$935$	−24.2445	+	20.1661i	−0.792879	+	0.659502i
$936$	−5.05590	+	10.9970i	−0.165257	+	0.359448i
$937$	44.4359	−	14.4381i	1.45166	−	0.471673i	0.526148	−	0.850393i	$-0.323636\pi$
$937$	44.4359	−	14.4381i	1.45166	−	0.471673i	0.925511	+	0.378720i	$0.123636\pi$
$938$	−0.514869	+	0.708657i	−0.0168111	+	0.0231385i
$939$	−3.68151	+	1.61259i	−0.120142	+	0.0526250i
$940$	−4.87641	+	15.0080i	−0.159051	+	0.489508i
$941$	−1.45899	+	4.49030i	−0.0475616	+	0.146380i	−0.972017	−	0.234911i	$-0.924520\pi$
$941$	−1.45899	+	4.49030i	−0.0475616	+	0.146380i	0.924455	+	0.381290i	$0.124520\pi$
$942$	34.1987	−	14.9799i	1.11425	−	0.488072i
$943$	0.272618	−	0.375227i	0.00887767	−	0.0122191i
$944$	5.41603	−	1.75977i	0.176277	−	0.0572758i
$945$	6.32494	+	4.77244i	0.205750	+	0.155247i
$946$	−10.4207	+	0.683561i	−0.338806	+	0.0222245i
$947$		−	6.85710i		−	0.222826i	−0.993774	−	0.111413i	$-0.964462\pi$
$947$		−	6.85710i		−	0.222826i	0.993774	−	0.111413i	$-0.0355376\pi$
$948$	−16.6643	+	1.65000i	−0.541232	+	0.0535894i
$949$	−27.0591	−	19.6596i	−0.878376	−	0.638177i
$950$	11.7363	+	16.1536i	0.380776	+	0.524093i
$951$	−23.1813	−	13.5707i	−0.751706	−	0.440060i
$952$	−5.93024	−	1.92685i	−0.192200	−	0.0624497i
$953$	−9.34017	+	6.78603i	−0.302558	+	0.219821i	−0.728697	−	0.684837i	$-0.759874\pi$
$953$	−9.34017	+	6.78603i	−0.302558	+	0.219821i	0.426139	+	0.904658i	$0.359874\pi$
$954$	−4.03856	+	2.26720i	−0.130753	+	0.0734032i
$955$	−0.987506	−	3.03923i	−0.0319549	−	0.0983472i
$956$	6.74783			0.218241
$957$	13.4664	+	6.74120i	0.435306	+	0.217912i
$958$	−13.4077			−0.433183
$959$	−3.61347	−	11.1211i	−0.116685	−	0.359119i
$960$	1.97337	−	1.75541i	0.0636904	−	0.0566557i
$961$	20.7829	−	15.0997i	0.670417	−	0.487086i
$962$	−16.1937	−	5.26167i	−0.522107	−	0.169643i
$963$	35.5385	−	38.5252i	1.14521	−	1.24146i
$964$	1.34094	+	1.84565i	0.0431889	+	0.0594444i
$965$	25.2664	+	18.3571i	0.813353	+	0.590935i
$966$	−0.0314819	−	0.317955i	−0.00101291	−	0.0102300i
$967$		−	49.1133i		−	1.57938i	−0.613509	−	0.789688i	$-0.710242\pi$
$967$		−	49.1133i		−	1.57938i	0.613509	−	0.789688i	$-0.289758\pi$
$968$	4.73667	+	9.92794i	0.152242	+	0.319096i
$969$	17.2372	−	78.7574i	0.553739	−	2.53005i
$970$	20.3920	−	6.62575i	0.654747	−	0.212740i
$971$	−24.2466	+	33.3726i	−0.778111	+	1.07098i	0.217377	+	0.976088i	$0.430250\pi$
$971$	−24.2466	+	33.3726i	−0.778111	+	1.07098i	−0.995488	+	0.0948903i	$0.969750\pi$
$972$	−14.0432	−	6.76665i	−0.450437	−	0.217040i
$973$	2.41013	−	7.41761i	0.0772651	−	0.237798i
$974$	3.35722	−	10.3325i	0.107572	−	0.331073i
$975$	7.49938	+	17.1209i	0.240172	+	0.548307i
$976$	4.19786	−	5.77786i	0.134370	−	0.184945i
$977$	33.7443	−	10.9642i	1.07958	−	0.350776i	0.285367	−	0.958418i	$-0.407885\pi$
$977$	33.7443	−	10.9642i	1.07958	−	0.350776i	0.794211	+	0.607643i	$0.207885\pi$
$978$	11.1530	+	2.44101i	0.356635	+	0.0780547i
$979$	−14.1130	+	55.5824i	−0.451054	+	1.77642i
$980$		−	1.52487i		−	0.0487101i
$981$	−10.6127	−	1.24496i	−0.338837	−	0.0397486i
$982$	11.5096	+	8.36223i	0.367287	+	0.266850i
$983$	−17.9899	−	24.7610i	−0.573789	−	0.789753i	0.419208	−	0.907890i	$-0.362308\pi$
$983$	−17.9899	−	24.7610i	−0.573789	−	0.789753i	−0.992997	+	0.118137i	$0.962308\pi$
$984$	−2.20012	+	3.75822i	−0.0701372	+	0.119808i
$985$	−28.4426	−	9.24156i	−0.906256	−	0.294460i
$986$	−13.2244	+	9.60809i	−0.421151	+	0.305984i
$987$	−11.9133	−	13.3925i	−0.379204	−	0.426289i
$988$	9.30677	+	28.6433i	0.296088	+	0.911265i
$989$	0.580840			0.0184697
$990$	14.1704	+	5.42184i	0.450366	+	0.172318i
$991$	−22.0203			−0.699499			−0.349750	−	0.936843i	$-0.613733\pi$
$991$	−22.0203			−0.699499			−0.349750	+	0.936843i	$0.613733\pi$
$992$	−0.712142	−	2.19175i	−0.0226105	−	0.0695881i
$993$	−15.2619	−	17.1569i	−0.484321	−	0.544457i
$994$	4.51582	−	3.28093i	0.143233	−	0.104065i
$995$	−13.6643	−	4.43980i	−0.433187	−	0.140751i
$996$	−5.54122	+	9.46546i	−0.175580	+	0.299924i
$997$	21.3413	+	29.3738i	0.675887	+	0.930278i	0.999875	−	0.0157828i	$-0.00502401\pi$
$997$	21.3413	+	29.3738i	0.675887	+	0.930278i	−0.323989	+	0.946061i	$0.605024\pi$
$998$	27.6315	+	20.0755i	0.874661	+	0.635478i
$999$	7.15264	−	20.7304i	0.226300	−	0.655880i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	462.2.w.b.281.4	yes	48
3.2	odd	2		462.2.w.a.281.3	✓	48
11.2	odd	10		462.2.w.a.365.3	yes	48
33.2	even	10	inner	462.2.w.b.365.4	yes	48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
462.2.w.a.281.3	✓	48	3.2	odd	2
462.2.w.a.365.3	yes	48	11.2	odd	10
462.2.w.b.281.4	yes	48	1.1	even	1	trivial
462.2.w.b.365.4	yes	48	33.2	even	10	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:	\( N \)	\(=\)	\( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	462.w (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.309017 - 0.951057i) q^{2} +(-1.15119 - 1.29413i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(1.45024 + 0.471210i) q^{5} +(-0.875051 + 1.49475i) q^{6} +(0.587785 + 0.809017i) q^{7} +(0.809017 + 0.587785i) q^{8} +(-0.349530 + 2.97957i) q^{9} +O(q^{10})\)	\(q+(-0.309017 - 0.951057i) q^{2} +(-1.15119 - 1.29413i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(1.45024 + 0.471210i) q^{5} +(-0.875051 + 1.49475i) q^{6} +(0.587785 + 0.809017i) q^{7} +(0.809017 + 0.587785i) q^{8} +(-0.349530 + 2.97957i) q^{9} -1.52487i q^{10} +(3.21462 + 0.816229i) q^{11} +(1.69200 + 0.370319i) q^{12} +(3.83706 - 1.24674i) q^{13} +(0.587785 - 0.809017i) q^{14} +(-1.05969 - 2.41924i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-1.92685 + 5.93024i) q^{17} +(2.94175 - 0.588315i) q^{18} +(4.38777 - 6.03924i) q^{19} +(-1.45024 + 0.471210i) q^{20} +(0.370319 - 1.69200i) q^{21} +(-0.217092 - 3.30951i) q^{22} +0.184469i q^{23} +(-0.170662 - 1.72362i) q^{24} +(-2.16394 - 1.57219i) q^{25} +(-2.37143 - 3.26400i) q^{26} +(4.25832 - 2.97771i) q^{27} +(-0.951057 - 0.309017i) q^{28} +(-2.12085 + 1.54089i) q^{29} +(-1.97337 + 1.75541i) q^{30} +(0.712142 + 2.19175i) q^{31} -1.00000 q^{32} +(-2.64433 - 5.09976i) q^{33} +6.23543 q^{34} +(0.471210 + 1.45024i) q^{35} +(-1.46857 - 2.61597i) q^{36} +(3.41434 - 2.48066i) q^{37} +(-7.09956 - 2.30679i) q^{38} +(-6.03061 - 3.53041i) q^{39} +(0.896295 + 1.23364i) q^{40} +(-2.03409 - 1.47785i) q^{41} +(-1.72362 + 0.170662i) q^{42} -3.14871i q^{43} +(-3.08045 + 1.22916i) q^{44} +(-1.91090 + 4.15638i) q^{45} +(0.175441 - 0.0570041i) q^{46} +(6.08281 - 8.37227i) q^{47} +(-1.58652 + 0.694938i) q^{48} +(-0.309017 + 0.951057i) q^{49} +(-0.826551 + 2.54386i) q^{50} +(9.89266 - 4.33324i) q^{51} +(-2.37143 + 3.26400i) q^{52} +(-1.46825 + 0.477064i) q^{53} +(-4.14786 - 3.12974i) q^{54} +(4.27734 + 2.69849i) q^{55} +1.00000i q^{56} +(-12.8667 + 1.27398i) q^{57} +(2.12085 + 1.54089i) q^{58} +(3.34729 + 4.60715i) q^{59} +(2.27930 + 1.33434i) q^{60} +(6.79228 + 2.20694i) q^{61} +(1.86441 - 1.35457i) q^{62} +(-2.61597 + 1.46857i) q^{63} +(0.309017 + 0.951057i) q^{64} +6.15211 q^{65} +(-4.03302 + 4.09082i) q^{66} -0.875948 q^{67} +(-1.92685 - 5.93024i) q^{68} +(0.238727 - 0.212359i) q^{69} +(1.23364 - 0.896295i) q^{70} +(5.30866 + 1.72489i) q^{71} +(-2.03412 + 2.20507i) q^{72} +(-4.87284 - 6.70690i) q^{73} +(-3.41434 - 2.48066i) q^{74} +(0.456483 + 4.61030i) q^{75} +7.46492i q^{76} +(1.22916 + 3.08045i) q^{77} +(-1.49406 + 6.82641i) q^{78} +(-9.19500 + 2.98764i) q^{79} +(0.896295 - 1.23364i) q^{80} +(-8.75566 - 2.08290i) q^{81} +(-0.776953 + 2.39122i) q^{82} +(-1.95684 + 6.02252i) q^{83} +(0.694938 + 1.58652i) q^{84} +(-5.58878 + 7.69230i) q^{85} +(-2.99460 + 0.973006i) q^{86} +(4.43560 + 0.970797i) q^{87} +(2.12091 + 2.54985i) q^{88} +17.2905i q^{89} +(4.54345 + 0.532987i) q^{90} +(3.26400 + 2.37143i) q^{91} +(-0.108428 - 0.149239i) q^{92} +(2.01659 - 3.44472i) q^{93} +(-9.84219 - 3.19792i) q^{94} +(9.20905 - 6.69077i) q^{95} +(1.15119 + 1.29413i) q^{96} +(4.34513 + 13.3729i) q^{97} +1.00000 q^{98} +(-3.55561 + 9.29288i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9}+O(q^{10}) \) 48 * q + 12 * q^2 - 4 * q^3 - 12 * q^4 + 4 * q^6 + 12 * q^8 + 10 * q^9	\( 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9} + 8 q^{11} + 6 q^{12} - 24 q^{15} - 12 q^{16} + 24 q^{17} + 10 q^{18} + 30 q^{19} - 8 q^{22} - 6 q^{24} + 18 q^{25} + 20 q^{26} + 38 q^{27} - 8 q^{29} - 36 q^{30} - 32 q^{31} - 48 q^{32} + 24 q^{33} - 4 q^{34} - 6 q^{35} - 20 q^{37} - 20 q^{38} - 34 q^{39} - 22 q^{44} + 12 q^{45} + 20 q^{46} - 20 q^{47} - 4 q^{48} + 12 q^{49} - 28 q^{50} + 2 q^{51} + 20 q^{52} - 20 q^{53} - 18 q^{54} + 16 q^{55} + 12 q^{57} + 8 q^{58} - 30 q^{59} - 4 q^{60} - 20 q^{61} - 8 q^{62} - 4 q^{63} - 12 q^{64} + 46 q^{66} + 36 q^{67} + 24 q^{68} + 30 q^{69} - 4 q^{70} - 10 q^{72} - 20 q^{73} + 20 q^{74} + 40 q^{75} + 16 q^{77} - 16 q^{78} - 20 q^{79} - 54 q^{81} - 10 q^{82} + 46 q^{83} - 10 q^{84} + 10 q^{85} + 30 q^{86} - 8 q^{87} - 8 q^{88} - 62 q^{90} - 36 q^{91} - 10 q^{92} + 44 q^{93} - 50 q^{95} + 4 q^{96} - 2 q^{97} + 48 q^{98} - 26 q^{99}+O(q^{100}) \) 48 * q + 12 * q^2 - 4 * q^3 - 12 * q^4 + 4 * q^6 + 12 * q^8 + 10 * q^9 + 8 * q^11 + 6 * q^12 - 24 * q^15 - 12 * q^16 + 24 * q^17 + 10 * q^18 + 30 * q^19 - 8 * q^22 - 6 * q^24 + 18 * q^25 + 20 * q^26 + 38 * q^27 - 8 * q^29 - 36 * q^30 - 32 * q^31 - 48 * q^32 + 24 * q^33 - 4 * q^34 - 6 * q^35 - 20 * q^37 - 20 * q^38 - 34 * q^39 - 22 * q^44 + 12 * q^45 + 20 * q^46 - 20 * q^47 - 4 * q^48 + 12 * q^49 - 28 * q^50 + 2 * q^51 + 20 * q^52 - 20 * q^53 - 18 * q^54 + 16 * q^55 + 12 * q^57 + 8 * q^58 - 30 * q^59 - 4 * q^60 - 20 * q^61 - 8 * q^62 - 4 * q^63 - 12 * q^64 + 46 * q^66 + 36 * q^67 + 24 * q^68 + 30 * q^69 - 4 * q^70 - 10 * q^72 - 20 * q^73 + 20 * q^74 + 40 * q^75 + 16 * q^77 - 16 * q^78 - 20 * q^79 - 54 * q^81 - 10 * q^82 + 46 * q^83 - 10 * q^84 + 10 * q^85 + 30 * q^86 - 8 * q^87 - 8 * q^88 - 62 * q^90 - 36 * q^91 - 10 * q^92 + 44 * q^93 - 50 * q^95 + 4 * q^96 - 2 * q^97 + 48 * q^98 - 26 * q^99

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