LMFDB - Embedded newform 462.2.w.a.281.8

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			281.8
Character	$\chi$	$=$	462.281
Dual form			462.2.w.a.365.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.309017 + 0.951057i) q^{2} +(0.391739 - 1.68717i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-0.599576 - 0.194814i) q^{5} +(1.72565 - 0.148798i) q^{6} +(-0.587785 - 0.809017i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(-2.69308 - 1.32186i) q^{9} +O(q^{10})$	\(q+(0.309017 + 0.951057i) q^{2} +(0.391739 - 1.68717i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-0.599576 - 0.194814i) q^{5} +(1.72565 - 0.148798i) q^{6} +(-0.587785 - 0.809017i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(-2.69308 - 1.32186i) q^{9} -0.630432i q^{10} +(2.44475 - 2.24125i) q^{11} +(0.674769 + 1.59521i) q^{12} +(2.41247 - 0.783858i) q^{13} +(0.587785 - 0.809017i) q^{14} +(-0.563562 + 0.935270i) q^{15} +(0.309017 - 0.951057i) q^{16} +(1.70538 - 5.24863i) q^{17} +(0.424957 - 2.96975i) q^{18} +(-0.782917 + 1.07759i) q^{19} +(0.599576 - 0.194814i) q^{20} +(-1.59521 + 0.674769i) q^{21} +(2.88702 + 1.63251i) q^{22} -8.39152i q^{23} +(-1.30862 + 1.13469i) q^{24} +(-3.72355 - 2.70531i) q^{25} +(1.49099 + 2.05217i) q^{26} +(-3.28519 + 4.02586i) q^{27} +(0.951057 + 0.309017i) q^{28} +(0.707415 - 0.513967i) q^{29} +(-1.06364 - 0.246965i) q^{30} +(2.94421 + 9.06135i) q^{31} +1.00000 q^{32} +(-2.82366 - 5.00269i) q^{33} +5.51874 q^{34} +(0.194814 + 0.599576i) q^{35} +(2.95572 - 0.513545i) q^{36} +(-1.24996 + 0.908150i) q^{37} +(-1.26679 - 0.411604i) q^{38} +(-0.377443 - 4.37731i) q^{39} +(0.370558 + 0.510030i) q^{40} +(-3.18826 - 2.31641i) q^{41} +(-1.13469 - 1.30862i) q^{42} +3.14116i q^{43} +(-0.660472 + 3.25020i) q^{44} +(1.35719 + 1.31721i) q^{45} +(7.98081 - 2.59312i) q^{46} +(-1.24469 + 1.71316i) q^{47} +(-1.48354 - 0.893930i) q^{48} +(-0.309017 + 0.951057i) q^{49} +(1.42227 - 4.37729i) q^{50} +(-8.18726 - 4.93337i) q^{51} +(-1.49099 + 2.05217i) q^{52} +(2.81686 - 0.915255i) q^{53} +(-4.84400 - 1.88034i) q^{54} +(-1.90244 + 0.867527i) q^{55} +1.00000i q^{56} +(1.51138 + 1.74305i) q^{57} +(0.707415 + 0.513967i) q^{58} +(4.03171 + 5.54917i) q^{59} +(-0.0938068 - 1.08790i) q^{60} +(11.4880 + 3.73266i) q^{61} +(-7.70804 + 5.60022i) q^{62} +(0.513545 + 2.95572i) q^{63} +(0.309017 + 0.951057i) q^{64} -1.59916 q^{65} +(3.88529 - 4.23138i) q^{66} +2.01926 q^{67} +(1.70538 + 5.24863i) q^{68} +(-14.1579 - 3.28729i) q^{69} +(-0.510030 + 0.370558i) q^{70} +(13.8818 + 4.51048i) q^{71} +(1.40178 + 2.65236i) q^{72} +(1.66168 + 2.28710i) q^{73} +(-1.24996 - 0.908150i) q^{74} +(-6.02298 + 5.22247i) q^{75} -1.33198i q^{76} +(-3.25020 - 0.660472i) q^{77} +(4.04643 - 1.71163i) q^{78} +(-9.35570 + 3.03985i) q^{79} +(-0.370558 + 0.510030i) q^{80} +(5.50537 + 7.11976i) q^{81} +(1.21781 - 3.74802i) q^{82} +(-3.56305 + 10.9659i) q^{83} +(0.893930 - 1.48354i) q^{84} +(-2.04501 + 2.81472i) q^{85} +(-2.98742 + 0.970672i) q^{86} +(-0.590028 - 1.39487i) q^{87} +(-3.29522 + 0.376220i) q^{88} +11.3022i q^{89} +(-0.833343 + 1.69780i) q^{90} +(-2.05217 - 1.49099i) q^{91} +(4.93241 + 6.78888i) q^{92} +(16.4414 - 1.41769i) q^{93} +(-2.01394 - 0.654370i) q^{94} +(0.679348 - 0.493575i) q^{95} +(0.391739 - 1.68717i) q^{96} +(1.98790 + 6.11813i) q^{97} -1.00000 q^{98} +(-9.54653 + 2.80424i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q - 12 q^{2} - 4 q^{3} - 12 q^{4} + 6 q^{6} - 12 q^{8} + 10 q^{9}+O(q^{10}) $ 48 * q - 12 * q^2 - 4 * q^3 - 12 * q^4 + 6 * q^6 - 12 * q^8 + 10 * q^9	$ 48 q - 12 q^{2} - 4 q^{3} - 12 q^{4} + 6 q^{6} - 12 q^{8} + 10 q^{9} - 8 q^{11} + 6 q^{12} + 36 q^{15} - 12 q^{16} - 24 q^{17} + 30 q^{19} - 8 q^{22} - 4 q^{24} + 18 q^{25} - 20 q^{26} - 22 q^{27} + 8 q^{29} - 24 q^{30} - 32 q^{31} + 48 q^{32} - 14 q^{33} - 4 q^{34} + 6 q^{35} - 10 q^{36} - 20 q^{37} + 20 q^{38} - 6 q^{39} + 22 q^{44} + 12 q^{45} + 20 q^{46} + 20 q^{47} - 4 q^{48} + 12 q^{49} + 28 q^{50} + 8 q^{51} + 20 q^{52} + 20 q^{53} + 18 q^{54} + 16 q^{55} - 2 q^{57} + 8 q^{58} + 30 q^{59} - 4 q^{60} - 20 q^{61} + 8 q^{62} + 4 q^{63} - 12 q^{64} - 14 q^{66} + 36 q^{67} - 24 q^{68} - 70 q^{69} - 4 q^{70} + 10 q^{72} - 20 q^{73} - 20 q^{74} - 30 q^{75} - 16 q^{77} - 16 q^{78} - 20 q^{79} + 26 q^{81} - 10 q^{82} - 46 q^{83} - 10 q^{84} + 10 q^{85} - 30 q^{86} + 8 q^{87} - 8 q^{88} - 38 q^{90} - 36 q^{91} + 10 q^{92} - 36 q^{93} + 50 q^{95} - 4 q^{96} - 2 q^{97} - 48 q^{98} + 70 q^{99}+O(q^{100}) $ 48 * q - 12 * q^2 - 4 * q^3 - 12 * q^4 + 6 * q^6 - 12 * q^8 + 10 * q^9 - 8 * q^11 + 6 * q^12 + 36 * q^15 - 12 * q^16 - 24 * q^17 + 30 * q^19 - 8 * q^22 - 4 * q^24 + 18 * q^25 - 20 * q^26 - 22 * q^27 + 8 * q^29 - 24 * q^30 - 32 * q^31 + 48 * q^32 - 14 * q^33 - 4 * q^34 + 6 * q^35 - 10 * q^36 - 20 * q^37 + 20 * q^38 - 6 * q^39 + 22 * q^44 + 12 * q^45 + 20 * q^46 + 20 * q^47 - 4 * q^48 + 12 * q^49 + 28 * q^50 + 8 * q^51 + 20 * q^52 + 20 * q^53 + 18 * q^54 + 16 * q^55 - 2 * q^57 + 8 * q^58 + 30 * q^59 - 4 * q^60 - 20 * q^61 + 8 * q^62 + 4 * q^63 - 12 * q^64 - 14 * q^66 + 36 * q^67 - 24 * q^68 - 70 * q^69 - 4 * q^70 + 10 * q^72 - 20 * q^73 - 20 * q^74 - 30 * q^75 - 16 * q^77 - 16 * q^78 - 20 * q^79 + 26 * q^81 - 10 * q^82 - 46 * q^83 - 10 * q^84 + 10 * q^85 - 30 * q^86 + 8 * q^87 - 8 * q^88 - 38 * q^90 - 36 * q^91 + 10 * q^92 - 36 * q^93 + 50 * q^95 - 4 * q^96 - 2 * q^97 - 48 * q^98 + 70 * 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
$3$	0.391739	−	1.68717i	0.226171	−	0.974088i
$3$	0.391739	−	1.68717i	0.226171	−	0.974088i
$4$	−0.809017	+	0.587785i	−0.404508	+	0.293893i
$5$	−0.599576	−	0.194814i	−0.268139	−	0.0871235i	0.171862	−	0.985121i	$-0.445022\pi$
$5$	−0.599576	−	0.194814i	−0.268139	−	0.0871235i	−0.440000	+	0.897998i	$0.645022\pi$
$6$	1.72565	−	0.148798i	0.704493	−	0.0607464i
$7$	−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
$9$	−2.69308	−	1.32186i	−0.897693	−	0.440620i
$10$		−	0.630432i		−	0.199360i
$11$	2.44475	−	2.24125i	0.737120	−	0.675762i
$11$	2.44475	−	2.24125i	0.737120	−	0.675762i
$12$	0.674769	+	1.59521i	0.194789	+	0.460497i
$13$	2.41247	−	0.783858i	0.669098	−	0.217403i	0.0452817	−	0.998974i	$-0.485581\pi$
$13$	2.41247	−	0.783858i	0.669098	−	0.217403i	0.623816	+	0.781571i	$0.285581\pi$
$14$	0.587785	−	0.809017i	0.157092	−	0.216219i
$15$	−0.563562	+	0.935270i	−0.145511	+	0.241486i
$16$	0.309017	−	0.951057i	0.0772542	−	0.237764i
$17$	1.70538	−	5.24863i	0.413616	−	1.27298i	−0.499866	−	0.866103i	$-0.666618\pi$
$17$	1.70538	−	5.24863i	0.413616	−	1.27298i	0.913483	−	0.406878i	$-0.133382\pi$
$18$	0.424957	−	2.96975i	0.100163	−	0.699977i
$19$	−0.782917	+	1.07759i	−0.179613	+	0.247217i	−0.889325	−	0.457276i	$-0.848825\pi$
$19$	−0.782917	+	1.07759i	−0.179613	+	0.247217i	0.709712	+	0.704492i	$0.248825\pi$
$20$	0.599576	−	0.194814i	0.134069	−	0.0435618i
$21$	−1.59521	+	0.674769i	−0.348103	+	0.147247i
$22$	2.88702	+	1.63251i	0.615515	+	0.348053i
$23$		−	8.39152i		−	1.74975i	−0.484346	−	0.874877i	$-0.660942\pi$
$23$		−	8.39152i		−	1.74975i	0.484346	−	0.874877i	$-0.339058\pi$
$24$	−1.30862	+	1.13469i	−0.267120	+	0.231618i
$25$	−3.72355	−	2.70531i	−0.744709	−	0.541063i
$26$	1.49099	+	2.05217i	0.292406	+	0.402463i
$27$	−3.28519	+	4.02586i	−0.632235	+	0.774777i
$28$	0.951057	+	0.309017i	0.179733	+	0.0583987i
$29$	0.707415	−	0.513967i	0.131364	−	0.0954413i	−0.520163	−	0.854067i	$-0.674129\pi$
$29$	0.707415	−	0.513967i	0.131364	−	0.0954413i	0.651527	+	0.758626i	$0.274129\pi$
$30$	−1.06364	−	0.246965i	−0.194194	−	0.0450894i
$31$	2.94421	+	9.06135i	0.528796	+	1.62747i	0.756685	+	0.653779i	$0.226818\pi$
$31$	2.94421	+	9.06135i	0.528796	+	1.62747i	−0.227889	+	0.973687i	$0.573182\pi$
$32$	1.00000			0.176777
$33$	−2.82366	−	5.00269i	−0.491536	−	0.870857i
$34$	5.51874			0.946456
$35$	0.194814	+	0.599576i	0.0329296	+	0.101347i
$36$	2.95572	−	0.513545i	0.492620	−	0.0855908i
$37$	−1.24996	+	0.908150i	−0.205492	+	0.149299i	−0.685772	−	0.727817i	$-0.740535\pi$
$37$	−1.24996	+	0.908150i	−0.205492	+	0.149299i	0.480279	+	0.877116i	$0.340535\pi$
$38$	−1.26679	−	0.411604i	−0.205500	−	0.0667709i
$39$	−0.377443	−	4.37731i	−0.0604392	−	0.700930i
$40$	0.370558	+	0.510030i	0.0585904	+	0.0806428i
$41$	−3.18826	−	2.31641i	−0.497923	−	0.361762i	0.310300	−	0.950639i	$-0.399570\pi$
$41$	−3.18826	−	2.31641i	−0.497923	−	0.361762i	−0.808223	+	0.588877i	$0.799570\pi$
$42$	−1.13469	−	1.30862i	−0.175086	−	0.201924i
$43$			3.14116i			0.479023i	0.970894	+	0.239511i	$0.0769872\pi$
$43$			3.14116i			0.479023i	−0.970894	+	0.239511i	$0.923013\pi$
$44$	−0.660472	+	3.25020i	−0.0995699	+	0.489986i
$45$	1.35719	+	1.31721i	0.202318	+	0.196358i
$46$	7.98081	−	2.59312i	1.17671	−	0.382335i
$47$	−1.24469	+	1.71316i	−0.181556	+	0.249890i	−0.890088	−	0.455788i	$-0.849358\pi$
$47$	−1.24469	+	1.71316i	−0.181556	+	0.249890i	0.708532	+	0.705678i	$0.249358\pi$
$48$	−1.48354	−	0.893930i	−0.214130	−	0.129028i
$49$	−0.309017	+	0.951057i	−0.0441453	+	0.135865i
$50$	1.42227	−	4.37729i	0.201139	−	0.619042i
$51$	−8.18726	−	4.93337i	−1.14645	−	0.690810i
$52$	−1.49099	+	2.05217i	−0.206763	+	0.284584i
$53$	2.81686	−	0.915255i	0.386926	−	0.125720i	−0.109093	−	0.994032i	$-0.534795\pi$
$53$	2.81686	−	0.915255i	0.386926	−	0.125720i	0.496019	+	0.868312i	$0.334795\pi$
$54$	−4.84400	−	1.88034i	−0.659185	−	0.255882i
$55$	−1.90244	+	0.867527i	−0.256525	+	0.116977i
$56$			1.00000i			0.133631i
$57$	1.51138	+	1.74305i	0.200187	+	0.230872i
$58$	0.707415	+	0.513967i	0.0928882	+	0.0674872i
$59$	4.03171	+	5.54917i	0.524884	+	0.722441i	0.986340	−	0.164722i	$-0.0526728\pi$
$59$	4.03171	+	5.54917i	0.524884	+	0.722441i	−0.461456	+	0.887163i	$0.652673\pi$
$60$	−0.0938068	−	1.08790i	−0.0121104	−	0.140448i
$61$	11.4880	+	3.73266i	1.47088	+	0.477918i	0.931374	−	0.364063i	$-0.118611\pi$
$61$	11.4880	+	3.73266i	1.47088	+	0.477918i	0.539507	+	0.841981i	$0.318611\pi$
$62$	−7.70804	+	5.60022i	−0.978923	+	0.711229i
$63$	0.513545	+	2.95572i	0.0647005	+	0.372386i
$64$	0.309017	+	0.951057i	0.0386271	+	0.118882i
$65$	−1.59916			−0.198352
$66$	3.88529	−	4.23138i	0.478246	−	0.520847i
$67$	2.01926			0.246691			0.123346	−	0.992364i	$-0.460638\pi$
$67$	2.01926			0.246691			0.123346	+	0.992364i	$0.460638\pi$
$68$	1.70538	+	5.24863i	0.206808	+	0.636490i
$69$	−14.1579	−	3.28729i	−1.70441	−	0.395743i
$70$	−0.510030	+	0.370558i	−0.0609602	+	0.0442902i
$71$	13.8818	+	4.51048i	1.64747	+	0.535295i	0.978190	−	0.207714i	$-0.0666024\pi$
$71$	13.8818	+	4.51048i	1.64747	+	0.535295i	0.669281	+	0.743010i	$0.266602\pi$
$72$	1.40178	+	2.65236i	0.165201	+	0.312584i
$73$	1.66168	+	2.28710i	0.194485	+	0.267685i	0.895111	−	0.445843i	$-0.147096\pi$
$73$	1.66168	+	2.28710i	0.194485	+	0.267685i	−0.700626	+	0.713528i	$0.747096\pi$
$74$	−1.24996	−	0.908150i	−0.145305	−	0.105570i
$75$	−6.02298	+	5.22247i	−0.695474	+	0.603039i
$76$		−	1.33198i		−	0.152788i
$77$	−3.25020	−	0.660472i	−0.370394	−	0.0752678i
$78$	4.04643	−	1.71163i	0.458168	−	0.193804i
$79$	−9.35570	+	3.03985i	−1.05260	+	0.342010i	−0.783687	−	0.621155i	$-0.786664\pi$
$79$	−9.35570	+	3.03985i	−1.05260	+	0.342010i	−0.268911	+	0.963165i	$0.586664\pi$
$80$	−0.370558	+	0.510030i	−0.0414297	+	0.0570231i
$81$	5.50537	+	7.11976i	0.611707	+	0.791084i
$82$	1.21781	−	3.74802i	0.134484	−	0.413900i
$83$	−3.56305	+	10.9659i	−0.391096	+	1.20367i	0.540865	+	0.841109i	$0.318097\pi$
$83$	−3.56305	+	10.9659i	−0.391096	+	1.20367i	−0.931961	+	0.362559i	$0.881903\pi$
$84$	0.893930	−	1.48354i	0.0975358	−	0.161867i
$85$	−2.04501	+	2.81472i	−0.221813	+	0.305299i
$86$	−2.98742	+	0.970672i	−0.322142	+	0.104670i
$87$	−0.590028	−	1.39487i	−0.0632576	−	0.149546i
$88$	−3.29522	+	0.376220i	−0.351271	+	0.0401052i
$89$			11.3022i			1.19803i	0.800736	+	0.599017i	$0.204442\pi$
$89$			11.3022i			1.19803i	−0.800736	+	0.599017i	$0.795558\pi$
$90$	−0.833343	+	1.69780i	−0.0878421	+	0.178964i
$91$	−2.05217	−	1.49099i	−0.215125	−	0.156298i
$92$	4.93241	+	6.78888i	0.514240	+	0.707790i
$93$	16.4414	−	1.41769i	1.70489	−	0.147008i
$94$	−2.01394	−	0.654370i	−0.207722	−	0.0674931i
$95$	0.679348	−	0.493575i	0.0696997	−	0.0506398i
$96$	0.391739	−	1.68717i	0.0399817	−	0.172196i
$97$	1.98790	+	6.11813i	0.201841	+	0.621202i	0.999828	+	0.0185283i	$0.00589809\pi$
$97$	1.98790	+	6.11813i	0.201841	+	0.621202i	−0.797987	+	0.602674i	$0.794102\pi$
$98$	−1.00000			−0.101015
$99$	−9.54653	+	2.80424i	−0.959462	+	0.281837i
$100$	4.60256			0.460256
$101$	−3.56987	−	10.9869i	−0.355215	−	1.09324i	−0.955884	−	0.293743i	$-0.905099\pi$
$101$	−3.56987	−	10.9869i	−0.355215	−	1.09324i	0.600669	−	0.799498i	$-0.294901\pi$
$102$	2.16191	−	9.31104i	0.214061	−	0.921931i
$103$	−3.40723	+	2.47550i	−0.335725	+	0.243918i	−0.742856	−	0.669452i	$-0.766529\pi$
$103$	−3.40723	+	2.47550i	−0.335725	+	0.243918i	0.407131	+	0.913370i	$0.366529\pi$
$104$	−2.41247	−	0.783858i	−0.236562	−	0.0768636i
$105$	1.08790	−	0.0938068i	0.106168	−	0.00915460i
$106$	1.74092	+	2.39617i	0.169093	+	0.232736i
$107$	−10.7603	−	7.81783i	−1.04024	−	0.755778i	−0.0699071	−	0.997554i	$-0.522270\pi$
$107$	−10.7603	−	7.81783i	−1.04024	−	0.755778i	−0.970332	+	0.241775i	$0.922270\pi$
$108$	0.291435	−	5.18797i	0.0280433	−	0.499213i
$109$		−	18.7342i		−	1.79441i	−0.441615	−	0.897205i	$-0.645594\pi$
$109$		−	18.7342i		−	1.79441i	0.441615	−	0.897205i	$-0.354406\pi$
$110$	−1.41295	−	1.54125i	−0.134720	−	0.146952i
$111$	1.04254	+	2.46466i	0.0989539	+	0.233935i
$112$	−0.951057	+	0.309017i	−0.0898664	+	0.0291994i
$113$	9.42189	−	12.9681i	0.886337	−	1.21994i	−0.0882877	−	0.996095i	$-0.528139\pi$
$113$	9.42189	−	12.9681i	0.886337	−	1.21994i	0.974625	−	0.223844i	$-0.0718605\pi$
$114$	−1.19070	+	1.97604i	−0.111519	+	0.185073i
$115$	−1.63479	+	5.03136i	−0.152445	+	0.469176i
$116$	−0.270209	+	0.831617i	−0.0250882	+	0.0772137i
$117$	−7.53312	−	1.07795i	−0.696437	−	0.0996569i
$118$	−4.03171	+	5.54917i	−0.371149	+	0.510843i
$119$	−5.24863	+	1.70538i	−0.481141	+	0.156332i
$120$	1.00567	−	0.425396i	0.0918046	−	0.0388332i
$121$	0.953611	−	10.9586i	0.0866919	−	0.996235i
$122$			12.0791i			1.09359i
$123$	−5.15714	+	4.47171i	−0.465003	+	0.403200i
$124$	−7.70804	−	5.60022i	−0.692203	−	0.502915i
$125$	3.55831	+	4.89759i	0.318265	+	0.438054i
$126$	−2.65236	+	1.40178i	−0.236291	+	0.124880i
$127$	8.81861	+	2.86534i	0.782525	+	0.254258i	0.672918	−	0.739717i	$-0.265041\pi$
$127$	8.81861	+	2.86534i	0.782525	+	0.254258i	0.109607	+	0.993975i	$0.465041\pi$
$128$	−0.809017	+	0.587785i	−0.0715077	+	0.0519534i
$129$	5.29967	+	1.23052i	0.466610	+	0.108341i
$130$	−0.494169	−	1.52090i	−0.0433415	−	0.133391i
$131$	−6.41687			−0.560645			−0.280322	−	0.959906i	$-0.590441\pi$
$131$	−6.41687			−0.560645			−0.280322	+	0.959906i	$0.590441\pi$
$132$	5.22490	+	2.38756i	0.454769	+	0.207810i
$133$	1.33198			0.115497
$134$	0.623984	+	1.92043i	0.0539040	+	0.165900i
$135$	2.75402	−	1.77381i	0.237028	−	0.152665i
$136$	−4.46475	+	3.24383i	−0.382849	+	0.278156i
$137$	0.648083	+	0.210575i	0.0553694	+	0.0179906i	0.336571	−	0.941658i	$-0.390733\pi$
$137$	0.648083	+	0.210575i	0.0553694	+	0.0179906i	−0.281201	+	0.959649i	$0.590733\pi$
$138$	−1.24864	−	14.4808i	−0.106291	−	1.23269i
$139$	−7.79784	−	10.7328i	−0.661405	−	0.910345i	0.338122	−	0.941102i	$-0.390208\pi$
$139$	−7.79784	−	10.7328i	−0.661405	−	0.910345i	−0.999527	+	0.0307569i	$0.990208\pi$
$140$	−0.510030	−	0.370558i	−0.0431054	−	0.0313179i
$141$	2.40280	+	2.77111i	0.202353	+	0.233369i
$142$			14.5962i			1.22489i
$143$	4.14106	−	7.32327i	0.346293	−	0.612403i
$144$	−2.08937	+	2.15279i	−0.174114	+	0.179400i
$145$	−0.524277	+	0.170348i	−0.0435389	+	0.0141466i
$146$	−1.66168	+	2.28710i	−0.137521	+	0.189282i
$147$	1.48354	+	0.893930i	0.122360	+	0.0737301i
$148$	0.477443	−	1.46942i	0.0392456	−	0.120785i
$149$	−4.00287	+	12.3196i	−0.327928	+	1.00926i	0.642174	+	0.766559i	$0.278033\pi$
$149$	−4.00287	+	12.3196i	−0.327928	+	1.00926i	−0.970102	+	0.242699i	$0.921967\pi$
$150$	−6.82807	−	4.11436i	−0.557510	−	0.335936i
$151$	−8.58790	+	11.8202i	−0.698874	+	0.961917i	0.301092	+	0.953595i	$0.402649\pi$
$151$	−8.58790	+	11.8202i	−0.698874	+	0.961917i	−0.999965	+	0.00832193i	$0.997351\pi$
$152$	1.26679	−	0.411604i	0.102750	−	0.0333855i
$153$	−11.5307	+	11.8807i	−0.932202	+	0.960498i
$154$	−0.376220	−	3.29522i	−0.0303167	−	0.265536i
$155$		−	6.00654i		−	0.482457i
$156$	2.87827	+	3.31946i	0.230446	+	0.265770i
$157$	10.1071	+	7.34326i	0.806636	+	0.586056i	0.912853	−	0.408287i	$-0.133874\pi$
$157$	10.1071	+	7.34326i	0.806636	+	0.586056i	−0.106217	+	0.994343i	$0.533874\pi$
$158$	−5.78214	−	7.95843i	−0.460002	−	0.633139i
$159$	−0.440713	−	5.11107i	−0.0349508	−	0.405334i
$160$	−0.599576	−	0.194814i	−0.0474007	−	0.0154014i
$161$	−6.78888	+	4.93241i	−0.535039	+	0.388729i
$162$	−5.07004	+	7.43604i	−0.398340	+	0.584230i
$163$	−0.453419	−	1.39548i	−0.0355145	−	0.109303i	0.931728	−	0.363158i	$-0.118301\pi$
$163$	−0.453419	−	1.39548i	−0.0355145	−	0.109303i	−0.967242	+	0.253855i	$0.918301\pi$
$164$	3.94091			0.307733
$165$	0.718404	+	3.54958i	0.0559277	+	0.276335i
$166$	−11.5303			−0.894923
$167$	−4.39597	−	13.5294i	−0.340171	−	1.04694i	−0.964119	−	0.265472i	$-0.914472\pi$
$167$	−4.39597	−	13.5294i	−0.340171	−	1.04694i	0.623948	−	0.781466i	$-0.285528\pi$
$168$	1.68717	+	0.391739i	0.130168	+	0.0302234i
$169$	−5.31166	+	3.85915i	−0.408589	+	0.296857i
$170$	−3.30890	−	1.07513i	−0.253781	−	0.0824585i
$171$	3.53289	−	1.86714i	0.270167	−	0.142783i
$172$	−1.84633	−	2.54125i	−0.140781	−	0.193769i
$173$	−1.47145	−	1.06907i	−0.111872	−	0.0812798i	0.530443	−	0.847721i	$-0.322026\pi$
$173$	−1.47145	−	1.06907i	−0.111872	−	0.0812798i	−0.642315	+	0.766441i	$0.722026\pi$
$174$	1.14427	−	0.992188i	0.0867471	−	0.0752176i
$175$			4.60256i			0.347921i
$176$	−1.37608	−	3.01768i	−0.103726	−	0.227466i
$177$	10.9418	−	4.62835i	0.822434	−	0.347888i
$178$	−10.7491	+	3.49258i	−0.805676	+	0.261780i
$179$	−7.46316	+	10.2722i	−0.557823	+	0.767777i	−0.991048	−	0.133509i	$-0.957376\pi$
$179$	−7.46316	+	10.2722i	−0.557823	+	0.767777i	0.433225	+	0.901286i	$0.357376\pi$
$180$	−1.87222	−	0.267906i	−0.139547	−	0.0199686i
$181$	7.77978	−	23.9437i	0.578267	−	1.77972i	−0.0465090	−	0.998918i	$-0.514810\pi$
$181$	7.77978	−	23.9437i	0.578267	−	1.77972i	0.624776	−	0.780804i	$-0.285190\pi$
$182$	0.783858	−	2.41247i	0.0581034	−	0.178824i
$183$	10.7979	−	17.9199i	0.798205	−	1.32468i
$184$	−4.93241	+	6.78888i	−0.363622	+	0.500483i
$185$	0.926368	−	0.300995i	0.0681079	−	0.0221296i
$186$	6.42898	+	15.1986i	0.471396	+	1.11442i
$187$	−7.59425	−	16.6538i	−0.555347	−	1.21785i
$188$		−	2.11759i		−	0.154441i
$189$	5.18797	+	0.291435i	0.377370	+	0.0211987i
$190$	0.679348	+	0.493575i	0.0492851	+	0.0358077i
$191$	12.8084	+	17.6292i	0.926780	+	1.27560i	0.961102	+	0.276192i	$0.0890726\pi$
$191$	12.8084	+	17.6292i	0.926780	+	1.27560i	−0.0343227	+	0.999411i	$0.510927\pi$
$192$	1.72565	−	0.148798i	0.124538	−	0.0107385i
$193$	17.8519	+	5.80045i	1.28501	+	0.417525i	0.870342	−	0.492447i	$-0.163897\pi$
$193$	17.8519	+	5.80045i	1.28501	+	0.417525i	0.414669	+	0.909972i	$0.363897\pi$
$194$	−5.20440	+	3.78122i	−0.373654	+	0.271475i
$195$	−0.626455	+	2.69806i	−0.0448614	+	0.193212i
$196$	−0.309017	−	0.951057i	−0.0220726	−	0.0679326i
$197$	10.1234			0.721262			0.360631	−	0.932709i	$-0.382561\pi$
$197$	10.1234			0.721262			0.360631	+	0.932709i	$0.382561\pi$
$198$	−5.61703	−	8.21273i	−0.399185	−	0.583653i
$199$	23.3180			1.65297			0.826484	−	0.562960i	$-0.190338\pi$
$199$	23.3180			1.65297			0.826484	+	0.562960i	$0.190338\pi$
$200$	1.42227	+	4.37729i	0.100570	+	0.309521i
$201$	0.791022	−	3.40683i	0.0557944	−	0.240299i
$202$	9.34604	−	6.79030i	0.657585	−	0.477764i
$203$	−0.831617	−	0.270209i	−0.0583681	−	0.0189649i
$204$	9.52340	−	0.821175i	0.666771	−	0.0574938i
$205$	1.46034	+	2.00998i	0.101994	+	0.140383i
$206$	−3.40723	−	2.47550i	−0.237393	−	0.172476i
$207$	−11.0924	+	22.5990i	−0.770977	+	1.57074i
$208$		−	2.53662i		−	0.175883i
$209$	0.501116	+	4.38916i	0.0346629	+	0.303604i
$210$	0.425396	+	1.00567i	0.0293551	+	0.0693978i
$211$	11.1060	−	3.60856i	0.764570	−	0.248424i	0.0993310	−	0.995054i	$-0.468330\pi$
$211$	11.1060	−	3.60856i	0.764570	−	0.248424i	0.665239	+	0.746631i	$0.268330\pi$
$212$	−1.74092	+	2.39617i	−0.119567	+	0.164569i
$213$	13.0480	−	21.6541i	0.894034	−	1.48371i
$214$	4.11008	−	12.6495i	0.280959	−	0.864703i
$215$	0.611942	−	1.88337i	0.0417341	−	0.128444i
$216$	5.02411	−	1.32600i	0.341848	−	0.0902229i
$217$	5.60022	−	7.70804i	0.380168	−	0.523256i
$218$	17.8173	−	5.78918i	1.20674	−	0.392093i
$219$	4.50967	−	1.90758i	0.304736	−	0.128903i
$220$	1.02919	−	1.82007i	0.0693878	−	0.122709i
$221$		−	13.9989i		−	0.941670i
$222$	−2.02186	+	1.75314i	−0.135699	+	0.117663i
$223$	−6.49078	−	4.71583i	−0.434655	−	0.315795i	0.348853	−	0.937178i	$-0.386571\pi$
$223$	−6.49078	−	4.71583i	−0.434655	−	0.315795i	−0.783507	+	0.621382i	$0.786571\pi$
$224$	−0.587785	−	0.809017i	−0.0392731	−	0.0540547i
$225$	6.45176	+	12.2076i	0.430117	+	0.813843i
$226$	15.2449	+	4.95338i	1.01408	+	0.329494i
$227$	−0.597813	+	0.434336i	−0.0396782	+	0.0288279i	−0.607448	−	0.794360i	$-0.707807\pi$
$227$	−0.597813	+	0.434336i	−0.0396782	+	0.0288279i	0.567769	+	0.823188i	$0.307807\pi$
$228$	−2.24727	−	0.521788i	−0.148829	−	0.0345563i
$229$	1.91931	+	5.90703i	0.126832	+	0.390348i	0.994230	−	0.107266i	$-0.0342097\pi$
$229$	1.91931	+	5.90703i	0.126832	+	0.390348i	−0.867399	+	0.497614i	$0.834210\pi$
$230$	−5.29028			−0.348831
$231$	−2.38756	+	5.22490i	−0.157090	+	0.343773i
$232$	−0.874414			−0.0574081
$233$	−6.49607	−	19.9929i	−0.425572	−	1.30978i	−0.902446	−	0.430804i	$-0.858230\pi$
$233$	−6.49607	−	19.9929i	−0.425572	−	1.30978i	0.476874	−	0.878972i	$-0.341770\pi$
$234$	−1.30267	−	7.49753i	−0.0851580	−	0.490129i
$235$	1.08003	−	0.784689i	0.0704535	−	0.0511875i
$236$	−6.52344	−	2.11959i	−0.424640	−	0.137974i
$237$	1.46375	+	16.9755i	0.0950806	+	1.10268i
$238$	−3.24383	−	4.46475i	−0.210266	−	0.289407i
$239$	−8.06794	−	5.86170i	−0.521872	−	0.379162i	0.295437	−	0.955362i	$-0.404535\pi$
$239$	−8.06794	−	5.86170i	−0.521872	−	0.379162i	−0.817308	+	0.576200i	$0.804535\pi$
$240$	0.715344	+	0.824994i	0.0461753	+	0.0532531i
$241$			15.9382i			1.02667i	0.858188	+	0.513336i	$0.171591\pi$
$241$			15.9382i			1.02667i	−0.858188	+	0.513336i	$0.828409\pi$
$242$	10.7169	−	2.47945i	0.688910	−	0.159385i
$243$	14.1689	−	6.49939i	0.908936	−	0.416936i
$244$	−11.4880	+	3.73266i	−0.735441	+	0.238959i
$245$	0.370558	−	0.510030i	0.0236741	−	0.0325846i
$246$	−5.84649	−	3.52290i	−0.372758	−	0.224612i
$247$	−1.04408	+	3.21335i	−0.0664333	+	0.204461i
$248$	2.94421	−	9.06135i	0.186958	−	0.575396i
$249$	17.1056	+	10.3073i	1.08402	+	0.653196i
$250$	−3.55831	+	4.89759i	−0.225047	+	0.309751i
$251$	17.3036	−	5.62229i	1.09220	−	0.354876i	0.293101	−	0.956081i	$-0.405313\pi$
$251$	17.3036	−	5.62229i	1.09220	−	0.354876i	0.799094	+	0.601206i	$0.205313\pi$
$252$	−2.15279	−	2.08937i	−0.135613	−	0.131618i
$253$	−18.8075	−	20.5152i	−1.18242	−	1.28978i
$254$			9.27244i			0.581804i
$255$	3.94780	+	4.55292i	0.247221	+	0.285115i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	4.68279	+	6.44531i	0.292104	+	0.402047i	0.929696	−	0.368327i	$-0.120069\pi$
$257$	4.68279	+	6.44531i	0.292104	+	0.402047i	−0.637592	+	0.770374i	$0.720069\pi$
$258$	0.467397	+	5.42054i	0.0290989	+	0.337468i
$259$	1.46942	+	0.477443i	0.0913052	+	0.0296669i
$260$	1.29375	−	0.939965i	0.0802350	−	0.0582941i
$261$	−2.58452	+	0.449050i	−0.159978	+	0.0277955i
$262$	−1.98292	−	6.10281i	−0.122505	−	0.377033i
$263$	6.20966			0.382904			0.191452	−	0.981502i	$-0.438680\pi$
$263$	6.20966			0.382904			0.191452	+	0.981502i	$0.438680\pi$
$264$	−0.656120	+	5.70697i	−0.0403814	+	0.351240i
$265$	−1.86723			−0.114703
$266$	0.411604	+	1.26679i	0.0252370	+	0.0776716i
$267$	19.0688	+	4.42753i	1.16699	+	0.270960i
$268$	−1.63361	+	1.18689i	−0.0997887	+	0.0725007i
$269$	3.05925	+	0.994012i	0.186526	+	0.0606060i	0.400791	−	0.916170i	$-0.368735\pi$
$269$	3.05925	+	0.994012i	0.186526	+	0.0606060i	−0.214265	+	0.976776i	$0.568735\pi$
$270$	2.53803	+	2.07109i	0.154459	+	0.126042i
$271$	3.91340	+	5.38634i	0.237722	+	0.327197i	0.911164	−	0.412044i	$-0.135185\pi$
$271$	3.91340	+	5.38634i	0.237722	+	0.327197i	−0.673442	+	0.739240i	$0.735185\pi$
$272$	−4.46475	−	3.24383i	−0.270715	−	0.196686i
$273$	−3.31946	+	2.87827i	−0.200903	+	0.174201i
$274$			0.681434i			0.0411670i
$275$	−15.1664	+	1.73157i	−0.914570	+	0.104418i
$276$	13.3862	−	5.66234i	0.805756	−	0.340833i
$277$	12.2294	−	3.97356i	0.734792	−	0.238748i	0.0823673	−	0.996602i	$-0.473752\pi$
$277$	12.2294	−	3.97356i	0.734792	−	0.238748i	0.652425	+	0.757854i	$0.273752\pi$
$278$	7.79784	−	10.7328i	0.467684	−	0.643711i
$279$	4.04885	−	28.2948i	0.242398	−	1.69396i
$280$	0.194814	−	0.599576i	0.0116424	−	0.0358315i
$281$	−0.201056	+	0.618785i	−0.0119940	+	0.0369136i	−0.956874	−	0.290502i	$-0.906178\pi$
$281$	−0.201056	+	0.618785i	−0.0119940	+	0.0369136i	0.944880	+	0.327416i	$0.106178\pi$
$282$	−1.89297	+	3.14152i	−0.112725	+	0.187075i
$283$	−17.5012	+	24.0884i	−1.04034	+	1.43190i	−0.143445	+	0.989658i	$0.545818\pi$
$283$	−17.5012	+	24.0884i	−1.04034	+	1.43190i	−0.896894	+	0.442246i	$0.854182\pi$
$284$	−13.8818	+	4.51048i	−0.823735	+	0.267648i
$285$	−0.566618	−	1.33953i	−0.0335635	−	0.0793468i
$286$	8.24450	+	1.67536i	0.487508	+	0.0990664i
$287$			3.94091i			0.232624i
$288$	−2.69308	−	1.32186i	−0.158691	−	0.0778914i
$289$	−10.8865	−	7.90951i	−0.640383	−	0.465265i
$290$	−0.324021	−	0.445977i	−0.0190272	−	0.0261887i
$291$	11.1011	−	0.957214i	0.650756	−	0.0561129i
$292$	−2.68865	−	0.873596i	−0.157341	−	0.0511233i
$293$	25.9493	−	18.8533i	1.51598	−	1.10142i	0.552538	−	0.833488i	$-0.313659\pi$
$293$	25.9493	−	18.8533i	1.51598	−	1.10142i	0.963438	−	0.267933i	$-0.0863406\pi$
$294$	−0.391739	+	1.68717i	−0.0228467	+	0.0983977i
$295$	−1.33626	−	4.11258i	−0.0778000	−	0.239444i
$296$	1.54504			0.0898035
$297$	0.991478	+	17.2051i	0.0575314	+	0.998344i
$298$	−12.9536			−0.750380
$299$	−6.57776	−	20.2443i	−0.380402	−	1.17076i
$300$	1.80300	−	7.76529i	0.104096	−	0.448329i
$301$	2.54125	−	1.84633i	0.146475	−	0.106421i
$302$	−13.8955	−	4.51493i	−0.799597	−	0.259805i
$303$	−19.9353	+	1.71896i	−1.14525	+	0.0987518i
$304$	0.782917	+	1.07759i	0.0449034	+	0.0618042i
$305$	−6.16073	−	4.47603i	−0.352762	−	0.256297i
$306$	−14.8624	−	7.29501i	−0.849627	−	0.417028i
$307$		−	5.81483i		−	0.331870i	−0.986137	−	0.165935i	$-0.946936\pi$
$307$		−	5.81483i		−	0.331870i	0.986137	−	0.165935i	$-0.0530642\pi$
$308$	3.01768	−	1.37608i	0.171948	−	0.0784097i
$309$	2.84184	+	6.71833i	0.161667	+	0.382192i
$310$	5.71256	−	1.85612i	0.324452	−	0.105421i
$311$	−9.86263	+	13.5748i	−0.559259	+	0.769754i	−0.991232	−	0.132133i	$-0.957817\pi$
$311$	−9.86263	+	13.5748i	−0.559259	+	0.769754i	0.431973	+	0.901886i	$0.357817\pi$
$312$	−2.26756	+	3.76317i	−0.128375	+	0.213048i
$313$	−6.18641	+	19.0398i	−0.349677	+	1.07619i	0.609355	+	0.792897i	$0.291428\pi$
$313$	−6.18641	+	19.0398i	−0.349677	+	1.07619i	−0.959032	+	0.283297i	$0.908572\pi$
$314$	−3.86058	+	11.8816i	−0.217865	+	0.670520i
$315$	0.267906	−	1.87222i	0.0150948	−	0.105488i
$316$	5.78214	−	7.95843i	0.325271	−	0.447697i
$317$	15.0841	−	4.90111i	0.847205	−	0.275273i	0.146930	−	0.989147i	$-0.453061\pi$
$317$	15.0841	−	4.90111i	0.847205	−	0.275273i	0.700275	+	0.713873i	$0.253061\pi$
$318$	4.72473	−	1.99855i	0.264950	−	0.112073i
$319$	0.577526	−	2.84202i	0.0323352	−	0.159122i
$320$		−	0.630432i		−	0.0352422i
$321$	−17.4052	+	15.0919i	−0.971466	+	0.842349i
$322$	−6.78888	−	4.93241i	−0.378330	−	0.274873i
$323$	4.32071	+	5.94695i	0.240411	+	0.330897i
$324$	−8.63882	−	2.52403i	−0.479935	−	0.140224i
$325$	−11.1035	−	3.60775i	−0.615912	−	0.200122i
$326$	1.18707	−	0.862455i	0.0657456	−	0.0477670i
$327$	−31.6077	−	7.33892i	−1.74791	−	0.405843i
$328$	1.21781	+	3.74802i	0.0672421	+	0.206950i
$329$	2.11759			0.116746
$330$	−3.15386	+	1.78012i	−0.173614	+	0.0979927i
$331$	−23.9417			−1.31595			−0.657977	−	0.753038i	$-0.728587\pi$
$331$	−23.9417			−1.31595			−0.657977	+	0.753038i	$0.728587\pi$
$332$	−3.56305	−	10.9659i	−0.195548	−	0.601834i
$333$	4.56670	−	0.793446i	0.250253	−	0.0434806i
$334$	11.5088	−	8.36164i	0.629734	−	0.457528i
$335$	−1.21070	−	0.393379i	−0.0661474	−	0.0214926i
$336$	0.148798	+	1.72565i	0.00811758	+	0.0941418i
$337$	−14.9753	−	20.6117i	−0.815755	−	1.12279i	−0.990410	−	0.138161i	$-0.955881\pi$
$337$	−14.9753	−	20.6117i	−0.815755	−	1.12279i	0.174654	−	0.984630i	$-0.444119\pi$
$338$	−5.31166	−	3.85915i	−0.288916	−	0.209910i
$339$	−18.1885	−	20.9765i	−0.987864	−	1.13928i
$340$		−	3.47919i		−	0.188685i
$341$	27.5066	+	15.5540i	1.48957	+	0.842298i
$342$	2.86747	+	2.78300i	0.155055	+	0.150487i
$343$	0.951057	−	0.309017i	0.0513522	−	0.0166853i
$344$	1.84633	−	2.54125i	0.0995473	−	0.137015i
$345$	7.84834	+	4.72914i	0.422540	+	0.254608i
$346$	0.562043	−	1.72979i	0.0302156	−	0.0929941i
$347$	−3.05031	+	9.38790i	−0.163749	+	0.503969i	−0.998942	−	0.0459888i	$-0.985356\pi$
$347$	−3.05031	+	9.38790i	−0.163749	+	0.503969i	0.835193	+	0.549958i	$0.185356\pi$
$348$	1.29723	+	0.781665i	0.0695387	+	0.0419016i
$349$	−2.19985	+	3.02783i	−0.117755	+	0.162076i	−0.863826	−	0.503791i	$-0.831938\pi$
$349$	−2.19985	+	3.02783i	−0.117755	+	0.162076i	0.746070	+	0.665867i	$0.231938\pi$
$350$	−4.37729	+	1.42227i	−0.233976	+	0.0760234i
$351$	−4.76971	+	12.2874i	−0.254588	+	0.655851i
$352$	2.44475	−	2.24125i	0.130306	−	0.119459i
$353$			11.9930i			0.638324i	0.947700	+	0.319162i	$0.103401\pi$
$353$			11.9930i			0.638324i	−0.947700	+	0.319162i	$0.896599\pi$
$354$	7.78301	+	8.97600i	0.413662	+	0.477069i
$355$	−7.44451	−	5.40875i	−0.395114	−	0.287067i
$356$	−6.64328	−	9.14369i	−0.352093	−	0.484615i
$357$	0.821175	+	9.52340i	0.0434612	+	0.504032i
$358$	−12.0756	−	3.92361i	−0.638217	−	0.207369i
$359$	0.346004	−	0.251387i	0.0182614	−	0.0132677i	−0.578617	−	0.815599i	$-0.696407\pi$
$359$	0.346004	−	0.251387i	0.0182614	−	0.0132677i	0.596879	+	0.802332i	$0.296407\pi$
$360$	−0.323755	−	1.86338i	−0.0170634	−	0.0982087i
$361$	5.32308	+	16.3827i	0.280162	+	0.862250i
$362$	25.1759			1.32322
$363$	−18.1154	−	5.90181i	−0.950813	−	0.309765i
$364$	2.53662			0.132955
$365$	−0.550742	−	1.69501i	−0.0288272	−	0.0887209i
$366$	20.3796	+	4.73188i	1.06526	+	0.247339i
$367$	−1.45752	+	1.05895i	−0.0760820	+	0.0552768i	−0.625176	−	0.780484i	$-0.714973\pi$
$367$	−1.45752	+	1.05895i	−0.0760820	+	0.0552768i	0.549094	+	0.835761i	$0.314973\pi$
$368$	−7.98081	−	2.59312i	−0.416029	−	0.135176i
$369$	5.52427	+	10.4527i	0.287582	+	0.544146i
$370$	0.572527	+	0.788015i	0.0297642	+	0.0409670i
$371$	−2.39617	−	1.74092i	−0.124403	−	0.0903839i
$372$	−12.4681	+	10.8109i	−0.646439	+	0.560522i
$373$			1.26194i			0.0653405i	0.999466	+	0.0326703i	$0.0104011\pi$
$373$			1.26194i			0.0653405i	−0.999466	+	0.0326703i	$0.989599\pi$
$374$	13.4919	−	12.3689i	0.697651	−	0.639579i
$375$	9.65699	−	4.08489i	0.498685	−	0.210943i
$376$	2.01394	−	0.654370i	0.103861	−	0.0337466i
$377$	1.30374	−	1.79444i	0.0671460	−	0.0924185i
$378$	1.32600	+	5.02411i	0.0682021	+	0.258413i
$379$	7.75359	−	23.8631i	0.398275	−	1.22576i	−0.528107	−	0.849178i	$-0.677098\pi$
$379$	7.75359	−	23.8631i	0.398275	−	1.22576i	0.926382	−	0.376586i	$-0.122902\pi$
$380$	−0.259488	+	0.798622i	−0.0133115	+	0.0409684i
$381$	8.28891	−	13.7560i	0.424654	−	0.704742i
$382$	−12.8084	+	17.6292i	−0.655332	+	0.901987i
$383$	−5.66339	+	1.84015i	−0.289386	+	0.0940271i	−0.450113	−	0.892972i	$-0.648616\pi$
$383$	−5.66339	+	1.84015i	−0.289386	+	0.0940271i	0.160727	+	0.986999i	$0.448616\pi$
$384$	0.674769	+	1.59521i	0.0344342	+	0.0814051i
$385$	1.82007	+	1.02919i	0.0927594	+	0.0524522i
$386$			18.7706i			0.955401i
$387$	4.15218	−	8.45940i	0.211067	−	0.430015i
$388$	−5.20440	−	3.78122i	−0.264213	−	0.191962i
$389$	−15.3281	−	21.0973i	−0.777166	−	1.06968i	−0.995589	−	0.0938231i	$-0.970091\pi$
$389$	−15.3281	−	21.0973i	−0.777166	−	1.06968i	0.218423	−	0.975854i	$-0.429909\pi$
$390$	−2.75959	+	0.237952i	−0.139737	+	0.0120492i
$391$	−44.0440	−	14.3108i	−2.22740	−	0.723727i
$392$	0.809017	−	0.587785i	0.0408615	−	0.0296876i
$393$	−2.51374	+	10.8264i	−0.126802	+	0.546117i
$394$	3.12830	+	9.62792i	0.157602	+	0.485048i
$395$	6.20166			0.312039
$396$	6.07501	−	7.87999i	0.305281	−	0.395984i
$397$	−12.3838			−0.621526			−0.310763	−	0.950487i	$-0.600585\pi$
$397$	−12.3838			−0.621526			−0.310763	+	0.950487i	$0.600585\pi$
$398$	7.20565	+	22.1767i	0.361187	+	1.11162i
$399$	0.521788	−	2.24727i	0.0261221	−	0.112504i
$400$	−3.72355	+	2.70531i	−0.186177	+	0.135266i
$401$	−25.7508	−	8.36694i	−1.28593	−	0.417825i	−0.415267	−	0.909700i	$-0.636312\pi$
$401$	−25.7508	−	8.36694i	−1.28593	−	0.417825i	−0.870666	+	0.491875i	$0.836312\pi$
$402$	3.48452	−	0.300460i	0.173792	−	0.0149856i
$403$	14.2056	+	19.5524i	0.707632	+	0.973972i
$404$	9.34604	+	6.79030i	0.464983	+	0.337830i
$405$	−1.91386	−	5.34136i	−0.0951003	−	0.265414i
$406$		−	0.874414i		−	0.0433964i
$407$	−1.02045	+	5.02168i	−0.0505820	+	0.248915i
$408$	3.72388	+	8.80353i	0.184359	+	0.435840i
$409$	−4.21983	+	1.37110i	−0.208657	+	0.0677968i	−0.411481	−	0.911419i	$-0.634988\pi$
$409$	−4.21983	+	1.37110i	−0.208657	+	0.0677968i	0.202824	+	0.979215i	$0.434988\pi$
$410$	−1.46034	+	2.00998i	−0.0721208	+	0.0992658i
$411$	0.609155	−	1.01093i	0.0300474	−	0.0498657i
$412$	1.30145	−	4.00544i	0.0641177	−	0.197334i
$413$	2.11959	−	6.52344i	0.104298	−	0.320998i
$414$	−24.9207	−	3.56604i	−1.22479	−	0.175261i
$415$	4.27264	−	5.88079i	0.209736	−	0.288676i
$416$	2.41247	−	0.783858i	0.118281	−	0.0384318i
$417$	−21.1628	+	8.95182i	−1.03635	+	0.438372i
$418$	−4.01948	+	1.83291i	−0.196599	+	0.0896507i
$419$			19.3186i			0.943775i	0.881659	+	0.471888i	$0.156427\pi$
$419$			19.3186i			0.943775i	−0.881659	+	0.471888i	$0.843573\pi$
$420$	−0.824994	+	0.715344i	−0.0402556	+	0.0349052i
$421$	−8.58284	−	6.23580i	−0.418302	−	0.303914i	0.358652	−	0.933471i	$-0.383236\pi$
$421$	−8.58284	−	6.23580i	−0.418302	−	0.303914i	−0.776954	+	0.629557i	$0.783236\pi$
$422$	6.86390	+	9.44734i	0.334129	+	0.459889i
$423$	5.61660	−	2.96838i	0.273089	−	0.144328i
$424$	−2.81686	−	0.915255i	−0.136799	−	0.0444487i
$425$	−20.5493	+	14.9299i	−0.996786	+	0.724208i
$426$	24.6263	+	5.71791i	1.19315	+	0.277034i
$427$	−3.73266	−	11.4880i	−0.180636	−	0.555941i
$428$	13.3005			0.642903
$429$	−10.7334	−	9.85548i	−0.518213	−	0.475827i
$430$	1.98029			0.0954979
$431$	2.66569	+	8.20414i	0.128402	+	0.395180i	0.994505	−	0.104684i	$-0.0333833\pi$
$431$	2.66569	+	8.20414i	0.128402	+	0.395180i	−0.866104	+	0.499864i	$0.833383\pi$
$432$	2.81364	+	4.36846i	0.135371	+	0.210178i
$433$	28.1535	−	20.4547i	1.35297	−	0.982991i	0.354113	−	0.935203i	$-0.384783\pi$
$433$	28.1535	−	20.4547i	1.35297	−	0.982991i	0.998858	−	0.0477878i	$-0.0152171\pi$
$434$	9.06135	+	2.94421i	0.434959	+	0.141327i
$435$	0.0820259	+	0.951277i	0.00393284	+	0.0456102i
$436$	11.0117	+	15.1563i	0.527364	+	0.725854i
$437$	9.04264	+	6.56986i	0.432568	+	0.314279i
$438$	3.20779	+	3.69948i	0.153274	+	0.176768i
$439$			18.2973i			0.873282i	0.899636	+	0.436641i	$0.143832\pi$
$439$			18.2973i			0.873282i	−0.899636	+	0.436641i	$0.856168\pi$
$440$	2.04903	+	0.416382i	0.0976835	+	0.0198503i
$441$	2.08937	−	2.15279i	0.0994939	−	0.102514i
$442$	13.3138	−	4.32591i	0.633271	−	0.205762i
$443$	−11.0429	+	15.1993i	−0.524666	+	0.722141i	−0.986306	−	0.164926i	$-0.947261\pi$
$443$	−11.0429	+	15.1993i	−0.524666	+	0.722141i	0.461640	+	0.887068i	$0.347261\pi$
$444$	−2.29212	−	1.38116i	−0.108779	−	0.0655468i
$445$	2.20183	−	6.77655i	0.104377	−	0.321239i
$446$	2.47926	−	7.63037i	0.117396	−	0.361309i
$447$	19.2171	+	11.5796i	0.908938	+	0.547695i
$448$	0.587785	−	0.809017i	0.0277702	−	0.0382225i
$449$	−4.70915	+	1.53010i	−0.222238	+	0.0722097i	−0.418020	−	0.908438i	$-0.637276\pi$
$449$	−4.70915	+	1.53010i	−0.222238	+	0.0722097i	0.195781	+	0.980648i	$0.437276\pi$
$450$	−9.61645	+	9.90836i	−0.453324	+	0.467084i
$451$	−12.9861	+	1.48265i	−0.611494	+	0.0698151i
$452$			16.0295i			0.753964i
$453$	16.5785	+	19.1197i	0.778927	+	0.898322i
$454$	−0.597813	−	0.434336i	−0.0280567	−	0.0203844i
$455$	0.939965	+	1.29375i	0.0440662	+	0.0606520i
$456$	−0.198195	−	2.29852i	−0.00928134	−	0.107638i
$457$	13.7015	+	4.45188i	0.640927	+	0.208250i	0.611410	−	0.791314i	$-0.290603\pi$
$457$	13.7015	+	4.45188i	0.640927	+	0.208250i	0.0295179	+	0.999564i	$0.490603\pi$
$458$	−5.02482	+	3.65075i	−0.234795	+	0.170588i
$459$	15.5277	+	24.1084i	0.724773	+	1.12528i
$460$	−1.63479	−	5.03136i	−0.0762223	−	0.234588i
$461$	−15.7347			−0.732840			−0.366420	−	0.930450i	$-0.619417\pi$
$461$	−15.7347			−0.732840			−0.366420	+	0.930450i	$0.619417\pi$
$462$	−5.70697	−	0.656120i	−0.265512	−	0.0305255i
$463$	39.4648			1.83409			0.917043	−	0.398789i	$-0.130570\pi$
$463$	39.4648			1.83409			0.917043	+	0.398789i	$0.130570\pi$
$464$	−0.270209	−	0.831617i	−0.0125441	−	0.0386068i
$465$	−10.1341	−	2.35300i	−0.469956	−	0.109118i
$466$	17.0069	−	12.3563i	0.787831	−	0.572393i
$467$	16.1579	+	5.25002i	0.747699	+	0.242942i	0.657991	−	0.753026i	$-0.271407\pi$
$467$	16.1579	+	5.25002i	0.747699	+	0.242942i	0.0897082	+	0.995968i	$0.471407\pi$
$468$	6.72803	−	3.55577i	0.311003	−	0.164366i
$469$	−1.18689	−	1.63361i	−0.0548054	−	0.0754332i
$470$	1.08003	+	0.784689i	0.0498182	+	0.0361950i
$471$	16.3487	−	14.1758i	0.753307	−	0.653186i
$472$		−	6.85915i		−	0.315718i
$473$	7.04012	+	7.67935i	0.323705	+	0.353097i
$474$	−15.6923	+	6.63782i	−0.720772	+	0.304885i
$475$	5.83045	−	1.89443i	0.267520	−	0.0869224i
$476$	3.24383	−	4.46475i	0.148681	−	0.204642i
$477$	−8.79588	−	1.25865i	−0.402736	−	0.0576296i
$478$	3.08168	−	9.48443i	0.140953	−	0.433808i
$479$	−7.29830	+	22.4619i	−0.333468	+	1.02631i	0.634004	+	0.773330i	$0.281410\pi$
$479$	−7.29830	+	22.4619i	−0.333468	+	1.02631i	−0.967472	+	0.252979i	$0.918590\pi$
$480$	−0.563562	+	0.935270i	−0.0257230	+	0.0426890i
$481$	−2.30363	+	3.17067i	−0.105036	+	0.144570i
$482$	−15.1582	+	4.92519i	−0.690436	+	0.224336i
$483$	5.66234	+	13.3862i	0.257646	+	0.609094i
$484$	5.66981	+	9.42620i	0.257719	+	0.428464i
$485$		−	4.05556i		−	0.184153i
$486$	10.5597	+	11.4670i	0.478999	+	0.520154i
$487$	−18.1924	−	13.2175i	−0.824374	−	0.598943i	0.0935878	−	0.995611i	$-0.470166\pi$
$487$	−18.1924	−	13.2175i	−0.824374	−	0.598943i	−0.917962	+	0.396668i	$0.870166\pi$
$488$	−7.09995	−	9.77224i	−0.321399	−	0.442368i
$489$	−2.53204	+	0.218330i	−0.114503	+	0.00987323i
$490$	0.599576	+	0.194814i	0.0270861	+	0.00880080i
$491$	−11.7331	+	8.52463i	−0.529510	+	0.384711i	−0.820174	−	0.572114i	$-0.806124\pi$
$491$	−11.7331	+	8.52463i	−0.529510	+	0.384711i	0.290665	+	0.956825i	$0.406124\pi$
$492$	1.54381	−	6.64898i	0.0696002	−	0.299759i
$493$	−1.49121	−	4.58947i	−0.0671608	−	0.206700i
$494$	−3.37872			−0.152016
$495$	6.27018	+	0.178443i	0.281824	+	0.00802039i
$496$	9.52767			0.427805
$497$	−4.51048	−	13.8818i	−0.202323	−	0.622685i
$498$	−4.51686	+	19.4535i	−0.202405	+	0.871733i
$499$	−28.8722	+	20.9769i	−1.29250	+	0.939054i	−0.999853	−	0.0171678i	$-0.994535\pi$
$499$	−28.8722	+	20.9769i	−1.29250	+	0.939054i	−0.292644	+	0.956221i	$0.594535\pi$
$500$	−5.75746	−	1.87071i	−0.257482	−	0.0836608i
$501$	−24.5485	+	2.11675i	−1.09675	+	0.0945692i
$502$	10.6942	+	14.7193i	0.477307	+	0.656957i
$503$	17.0623	+	12.3965i	0.760769	+	0.552731i	0.899146	−	0.437649i	$-0.144189\pi$
$503$	17.0623	+	12.3965i	0.760769	+	0.552731i	−0.138377	+	0.990380i	$0.544189\pi$
$504$	1.32186	−	2.69308i	0.0588804	−	0.119959i
$505$			7.28297i			0.324088i
$506$	13.6993	−	24.2265i	0.609006	−	1.07700i
$507$	4.43025	+	10.4734i	0.196754	+	0.465142i
$508$	−8.81861	+	2.86534i	−0.391263	+	0.127129i
$509$	0.518631	−	0.713835i	0.0229879	−	0.0316402i	−0.797368	−	0.603493i	$-0.793775\pi$
$509$	0.518631	−	0.713835i	0.0229879	−	0.0316402i	0.820356	+	0.571853i	$0.193775\pi$
$510$	−3.11015	+	5.16151i	−0.137720	+	0.228556i
$511$	0.873596	−	2.68865i	0.0386456	−	0.118939i
$512$	0.309017	−	0.951057i	0.0136568	−	0.0420312i
$513$	−1.76620	−	6.69201i	−0.0779798	−	0.295459i
$514$	−4.68279	+	6.44531i	−0.206549	+	0.284290i
$515$	2.52516	−	0.820473i	0.111272	−	0.0361544i
$516$	−5.01080	+	2.11956i	−0.220588	+	0.0933084i
$517$	0.796678	+	6.97790i	0.0350378	+	0.306888i
$518$			1.54504i			0.0678851i
$519$	−2.38012	+	2.06378i	−0.104476	+	0.0905900i
$520$	1.29375	+	0.939965i	0.0567347	+	0.0412202i
$521$	−14.3316	−	19.7257i	−0.627878	−	0.864200i	0.370018	−	0.929024i	$-0.379351\pi$
$521$	−14.3316	−	19.7257i	−0.627878	−	0.864200i	−0.997897	+	0.0648241i	$0.979351\pi$
$522$	−1.22573	−	2.31926i	−0.0536489	−	0.101511i
$523$	37.6294	+	12.2265i	1.64542	+	0.534629i	0.977740	−	0.209821i	$-0.0672880\pi$
$523$	37.6294	+	12.2265i	1.64542	+	0.534629i	0.667679	+	0.744450i	$0.267288\pi$
$524$	5.19136	−	3.77174i	0.226786	−	0.164769i
$525$	7.76529	+	1.80300i	0.338905	+	0.0786895i
$526$	1.91889	+	5.90574i	0.0836676	+	0.257502i
$527$	52.5807			2.29045
$528$	−5.63040	+	1.13954i	−0.245032	+	0.0495923i
$529$	−47.4177			−2.06164
$530$	−0.577006	−	1.77584i	−0.0250635	−	0.0771376i
$531$	−3.52248	−	20.2737i	−0.152863	−	0.879805i
$532$	−1.07759	+	0.782917i	−0.0467196	+	0.0339437i
$533$	−9.50730	−	3.08911i	−0.411807	−	0.133804i
$534$	1.68175	+	19.5037i	0.0727762	+	0.844006i
$535$	4.92861	+	6.78365i	0.213082	+	0.293283i
$536$	−1.63361	−	1.18689i	−0.0705613	−	0.0512658i
$537$	14.4072	+	16.6156i	0.621719	+	0.717017i
$538$			3.21669i			0.138681i
$539$	1.37608	+	3.01768i	0.0592722	+	0.129981i
$540$	−1.18543	+	3.05381i	−0.0510127	+	0.131415i
$541$	−0.990011	+	0.321674i	−0.0425639	+	0.0138298i	−0.330222	−	0.943903i	$-0.607123\pi$
$541$	−0.990011	+	0.321674i	−0.0425639	+	0.0138298i	0.287658	+	0.957733i	$0.407123\pi$
$542$	−3.91340	+	5.38634i	−0.168095	+	0.231363i
$543$	−37.3494	−	22.5055i	−1.60282	−	0.965804i
$544$	1.70538	−	5.24863i	0.0731177	−	0.225033i
$545$	−3.64968	+	11.2326i	−0.156335	+	0.481150i
$546$	−3.76317	−	2.26756i	−0.161049	−	0.0970426i
$547$	3.89861	−	5.36598i	0.166693	−	0.229433i	−0.717496	−	0.696562i	$-0.754712\pi$
$547$	3.89861	−	5.36598i	0.166693	−	0.229433i	0.884189	+	0.467130i	$0.154712\pi$
$548$	−0.648083	+	0.210575i	−0.0276847	+	0.00899531i
$549$	−26.0039	−	25.2378i	−1.10982	−	1.07712i
$550$	−6.33351	−	13.8890i	−0.270062	−	0.592231i
$551$			1.16470i			0.0496179i
$552$	9.52178	+	10.9813i	0.405274	+	0.467395i
$553$	7.95843	+	5.78214i	0.338427	+	0.245882i
$554$	7.55817	+	10.4029i	0.321116	+	0.441978i
$555$	−0.144935	−	1.68085i	−0.00615215	−	0.0713481i
$556$	12.6172	+	4.09957i	0.535088	+	0.173860i
$557$	−6.90709	+	5.01829i	−0.292663	+	0.212632i	−0.724422	−	0.689357i	$-0.757893\pi$
$557$	−6.90709	+	5.01829i	−0.292663	+	0.212632i	0.431759	+	0.901989i	$0.357893\pi$
$558$	28.1611	−	4.89288i	1.19215	−	0.207132i
$559$	2.46222	+	7.57794i	0.104141	+	0.320513i
$560$	0.630432			0.0266406
$561$	−31.0727	+	6.28884i	−1.31189	+	0.265515i
$562$	−0.650629			−0.0274451
$563$	−6.72338	−	20.6924i	−0.283357	−	0.872082i	−0.986886	−	0.161416i	$-0.948394\pi$
$563$	−6.72338	−	20.6924i	−0.283357	−	0.872082i	0.703530	−	0.710666i	$-0.251606\pi$
$564$	−3.57273	−	0.829542i	−0.150439	−	0.0349300i
$565$	−8.17552	+	5.93986i	−0.343947	+	0.249892i
$566$	−28.3176	−	9.20093i	−1.19028	−	0.386744i
$567$	2.52403	−	8.63882i	0.105999	−	0.362796i
$568$	−8.57944	−	11.8086i	−0.359985	−	0.495477i
$569$	−16.9747	−	12.3328i	−0.711617	−	0.517020i	0.172078	−	0.985083i	$-0.444952\pi$
$569$	−16.9747	−	12.3328i	−0.711617	−	0.517020i	−0.883695	+	0.468064i	$0.844952\pi$
$570$	1.09887	−	0.952823i	0.0460267	−	0.0399094i
$571$		−	42.7095i		−	1.78734i	−0.448726	−	0.893669i	$-0.648122\pi$
$571$		−	42.7095i		−	1.78734i	0.448726	−	0.893669i	$-0.351878\pi$
$572$	0.954326	+	8.35871i	0.0399024	+	0.349495i
$573$	34.7610	−	14.7038i	1.45216	−	0.614261i
$574$	−3.74802	+	1.21781i	−0.156440	+	0.0508303i
$575$	−22.7017	+	31.2462i	−0.946727	+	1.30306i
$576$	0.424957	−	2.96975i	0.0177066	−	0.123740i
$577$	−11.8863	+	36.5823i	−0.494833	+	1.52294i	0.322383	+	0.946609i	$0.395516\pi$
$577$	−11.8863	+	36.5823i	−0.494833	+	1.52294i	−0.817216	+	0.576331i	$0.804484\pi$
$578$	4.15828	−	12.7979i	0.172962	−	0.532321i
$579$	16.7796	−	27.8470i	0.697338	−	1.15728i
$580$	0.324021	−	0.445977i	0.0134543	−	0.0185182i
$581$	10.9659	−	3.56305i	0.454944	−	0.147820i
$582$	4.34078	+	10.2619i	0.179931	+	0.425371i
$583$	4.83522	−	8.55086i	0.200254	−	0.354141i
$584$		−	2.82701i		−	0.116983i
$585$	4.30668	+	2.11387i	0.178059	+	0.0873979i
$586$	25.9493	+	18.8533i	1.07196	+	0.778822i
$587$	−15.0522	−	20.7175i	−0.621270	−	0.855104i	0.376175	−	0.926549i	$-0.377239\pi$
$587$	−15.0522	−	20.7175i	−0.621270	−	0.855104i	−0.997445	+	0.0714444i	$0.977239\pi$
$588$	−1.72565	+	0.148798i	−0.0711645	+	0.00613631i
$589$	−12.0695	−	3.92162i	−0.497316	−	0.161588i
$590$	3.49837	−	2.54172i	0.144026	−	0.104641i
$591$	3.96573	−	17.0799i	0.163128	−	0.702573i
$592$	0.477443	+	1.46942i	0.0196228	+	0.0603927i
$593$	−29.3628			−1.20579			−0.602893	−	0.797822i	$-0.705985\pi$
$593$	−29.3628			−1.20579			−0.602893	+	0.797822i	$0.705985\pi$
$594$	−16.0567	+	6.25963i	−0.658814	+	0.256836i
$595$	3.47919			0.142633
$596$	−4.00287	−	12.3196i	−0.163964	−	0.504629i
$597$	9.13457	−	39.3414i	0.373853	−	1.61014i
$598$	17.2208	−	12.5116i	0.704211	−	0.511639i
$599$	19.8325	+	6.44398i	0.810336	+	0.263294i	0.684740	−	0.728788i	$-0.259916\pi$
$599$	19.8325	+	6.44398i	0.810336	+	0.263294i	0.125596	+	0.992082i	$0.459916\pi$
$600$	7.94239	−	0.684850i	0.324247	−	0.0279589i
$601$	0.292687	+	0.402849i	0.0119390	+	0.0164326i	0.814945	−	0.579539i	$-0.196767\pi$
$601$	0.292687	+	0.402849i	0.0119390	+	0.0164326i	−0.803006	+	0.595971i	$0.796767\pi$
$602$	2.54125	+	1.84633i	0.103574	+	0.0752507i
$603$	−5.43802	−	2.66918i	−0.221453	−	0.108697i
$604$		−	14.6106i		−	0.594497i
$605$	−2.70665	+	6.38473i	−0.110041	+	0.259576i
$606$	−7.79517	−	18.4284i	−0.316657	−	0.748602i
$607$	18.1219	−	5.88815i	0.735544	−	0.238993i	0.0827947	−	0.996567i	$-0.473615\pi$
$607$	18.1219	−	5.88815i	0.735544	−	0.238993i	0.652749	+	0.757574i	$0.273615\pi$
$608$	−0.782917	+	1.07759i	−0.0317515	+	0.0437021i
$609$	−0.781665	+	1.29723i	−0.0316747	+	0.0525663i
$610$	2.35319	−	7.24237i	0.0952778	−	0.293235i
$611$	−1.65989	+	5.10860i	−0.0671518	+	0.206672i
$612$	2.34523	−	16.3893i	0.0948002	−	0.662497i
$613$	3.97925	−	5.47697i	0.160720	−	0.221213i	−0.721060	−	0.692872i	$-0.756345\pi$
$613$	3.97925	−	5.47697i	0.160720	−	0.221213i	0.881781	+	0.471660i	$0.156345\pi$
$614$	5.53023	−	1.79688i	0.223182	−	0.0725162i
$615$	3.96325	−	1.67645i	0.159814	−	0.0676008i
$616$	2.24125	+	2.44475i	0.0903025	+	0.0985018i
$617$			3.45216i			0.138979i	0.997583	+	0.0694893i	$0.0221370\pi$
$617$			3.45216i			0.138979i	−0.997583	+	0.0694893i	$0.977863\pi$
$618$	−5.51133	+	4.77883i	−0.221698	+	0.192233i
$619$	11.9591	+	8.68880i	0.480677	+	0.349232i	0.801588	−	0.597877i	$-0.203989\pi$
$619$	11.9591	+	8.68880i	0.480677	+	0.349232i	−0.320911	+	0.947109i	$0.603989\pi$
$620$	3.53056	+	4.85940i	0.141791	+	0.195158i
$621$	33.7831	+	27.5677i	1.35567	+	1.10626i
$622$	−15.9581	−	5.18509i	−0.639861	−	0.207903i
$623$	9.14369	−	6.64328i	0.366334	−	0.266157i
$624$	−4.27970	−	0.993693i	−0.171325	−	0.0397796i
$625$	5.93198	+	18.2568i	0.237279	+	0.730271i
$626$	−20.0197			−0.800146
$627$	7.60156	+	0.873937i	0.303577	+	0.0349017i
$628$	−12.4931			−0.498529
$629$	2.63488	+	8.10933i	0.105060	+	0.323340i
$630$	1.86338	−	0.323755i	0.0742388	−	0.0128987i
$631$	6.83413	−	4.96529i	0.272063	−	0.197665i	−0.443385	−	0.896331i	$-0.646223\pi$
$631$	6.83413	−	4.96529i	0.272063	−	0.197665i	0.715448	+	0.698666i	$0.246223\pi$
$632$	9.35570	+	3.03985i	0.372150	+	0.120919i
$633$	−1.73759	−	20.1513i	−0.0690631	−	0.800944i
$634$	9.32246	+	12.8313i	0.370242	+	0.509594i
$635$	−4.72922	−	3.43598i	−0.187673	−	0.136353i
$636$	3.36075	+	3.87590i	0.133263	+	0.153689i
$637$			2.53662i			0.100504i
$638$	2.88138	−	0.328972i	0.114075	−	0.0130241i
$639$	−31.4227	−	30.4969i	−1.24306	−	1.20644i
$640$	0.599576	−	0.194814i	0.0237003	−	0.00770070i
$641$	−1.42345	+	1.95921i	−0.0562229	+	0.0773841i	−0.836203	−	0.548421i	$-0.815229\pi$
$641$	−1.42345	+	1.95921i	−0.0562229	+	0.0773841i	0.779980	+	0.625805i	$0.215229\pi$
$642$	−19.7318	−	11.8897i	−0.778752	−	0.469249i
$643$	−13.3203	+	40.9956i	−0.525300	+	1.61671i	0.238421	+	0.971162i	$0.423370\pi$
$643$	−13.3203	+	40.9956i	−0.525300	+	1.61671i	−0.763721	+	0.645546i	$0.776630\pi$
$644$	2.59312	−	7.98081i	0.102183	−	0.314488i
$645$	−2.93783	−	1.77024i	−0.115677	−	0.0697031i
$646$	−4.32071	+	5.94695i	−0.169996	+	0.233980i
$647$	−4.44343	+	1.44376i	−0.174689	+	0.0567599i	−0.395056	−	0.918657i	$-0.629275\pi$
$647$	−4.44343	+	1.44376i	−0.174689	+	0.0567599i	0.220366	+	0.975417i	$0.429275\pi$
$648$	−0.269045	−	8.99598i	−0.0105691	−	0.353395i
$649$	22.2936	+	4.53028i	0.875100	+	0.177829i
$650$		−	11.6749i		−	0.457928i
$651$	−10.8109	−	12.4681i	−0.423714	−	0.488662i
$652$	1.18707	+	0.862455i	0.0464891	+	0.0337763i
$653$	4.56110	+	6.27782i	0.178490	+	0.245670i	0.888882	−	0.458136i	$-0.151483\pi$
$653$	4.56110	+	6.27782i	0.178490	+	0.245670i	−0.710393	+	0.703806i	$0.751483\pi$
$654$	−2.78760	−	32.3286i	−0.109004	−	1.26415i
$655$	3.84740	+	1.25010i	0.150331	+	0.0488453i
$656$	−3.18826	+	2.31641i	−0.124481	+	0.0904405i
$657$	−1.45180	−	8.35586i	−0.0566400	−	0.325993i
$658$	0.654370	+	2.01394i	0.0255100	+	0.0785117i
$659$	−44.5440			−1.73519			−0.867594	−	0.497273i	$-0.834335\pi$
$659$	−44.5440			−1.73519			−0.867594	+	0.497273i	$0.834335\pi$
$660$	−2.66759	−	2.44941i	−0.103836	−	0.0953430i
$661$	−22.6199			−0.879812			−0.439906	−	0.898044i	$-0.644988\pi$
$661$	−22.6199			−0.879812			−0.439906	+	0.898044i	$0.644988\pi$
$662$	−7.39838	−	22.7699i	−0.287546	−	0.884977i
$663$	−23.6186	−	5.48393i	−0.917269	−	0.212978i
$664$	9.32819	−	6.77733i	0.362004	−	0.263011i
$665$	−0.798622	−	0.259488i	−0.0309692	−	0.0100625i
$666$	2.16580	+	4.09800i	0.0839230	+	0.158794i
$667$	−4.31297	−	5.93629i	−0.166999	−	0.229854i
$668$	11.5088	+	8.36164i	0.445289	+	0.323521i
$669$	−10.4991	+	9.10367i	−0.405919	+	0.351968i
$670$		−	1.27300i		−	0.0491804i
$671$	36.4510	−	16.6219i	1.40718	−	0.641682i
$672$	−1.59521	+	0.674769i	−0.0615365	+	0.0260298i
$673$	−16.5856	+	5.38899i	−0.639328	+	0.207730i	−0.610703	−	0.791860i	$-0.709113\pi$
$673$	−16.5856	+	5.38899i	−0.639328	+	0.207730i	−0.0286253	+	0.999590i	$0.509113\pi$
$674$	14.9753	−	20.6117i	0.576826	−	0.793933i
$675$	23.1238	−	6.10299i	0.890034	−	0.234904i
$676$	2.02887	−	6.24423i	0.0780336	−	0.240163i
$677$	2.42101	−	7.45110i	0.0930470	−	0.286369i	−0.893693	−	0.448679i	$-0.851895\pi$
$677$	2.42101	−	7.45110i	0.0930470	−	0.286369i	0.986740	+	0.162310i	$0.0518945\pi$
$678$	14.3292	−	23.7804i	0.550311	−	0.913280i
$679$	3.78122	−	5.20440i	0.145110	−	0.199726i
$680$	3.30890	−	1.07513i	0.126891	−	0.0412293i
$681$	0.498612	+	1.17876i	0.0191069	+	0.0451701i
$682$	−6.29276	+	30.9668i	−0.240962	+	1.18578i
$683$		−	12.7730i		−	0.488744i	−0.969682	−	0.244372i	$-0.921418\pi$
$683$		−	12.7730i		−	0.488744i	0.969682	−	0.244372i	$-0.0785817\pi$
$684$	−1.76069	+	3.58712i	−0.0673216	+	0.137157i
$685$	−0.347552	−	0.252511i	−0.0132793	−	0.00964796i
$686$	0.587785	+	0.809017i	0.0224417	+	0.0308884i
$687$	10.7180	−	0.924186i	0.408919	−	0.0352599i
$688$	2.98742	+	0.970672i	0.113894	+	0.0370065i
$689$	6.07816	−	4.41604i	0.231559	−	0.168238i
$690$	−2.07241	+	8.92560i	−0.0788954	+	0.339792i
$691$	1.20378	+	3.70486i	0.0457941	+	0.140940i	0.971339	−	0.237698i	$-0.0763928\pi$
$691$	1.20378	+	3.70486i	0.0457941	+	0.140940i	−0.925545	+	0.378637i	$0.876393\pi$
$692$	1.81881			0.0691407
$693$	7.87999	+	6.07501i	0.299336	+	0.230771i
$694$	−9.87102			−0.374699
$695$	2.58450	+	7.95427i	0.0980356	+	0.301723i
$696$	−0.342542	+	1.47528i	−0.0129840	+	0.0559205i
$697$	−17.5952	+	12.7836i	−0.666465	+	0.484215i
$698$	−3.55943	−	1.15653i	−0.134727	−	0.0437753i
$699$	−36.2761	+	3.12798i	−1.37209	+	0.118311i
$700$	−2.70531	−	3.72355i	−0.102251	−	0.140737i
$701$	−32.4724	−	23.5926i	−1.22647	−	0.891080i	−0.229847	−	0.973227i	$-0.573822\pi$
$701$	−32.4724	−	23.5926i	−1.22647	−	0.891080i	−0.996620	+	0.0821466i	$0.973822\pi$
$702$	−13.1599	−	0.739258i	−0.496688	−	0.0279015i
$703$		−	2.05796i		−	0.0776173i
$704$	2.88702	+	1.63251i	0.108809	+	0.0615276i
$705$	−0.900812	−	2.12959i	−0.0339266	−	0.0802050i
$706$	−11.4060	+	3.70605i	−0.429272	+	0.139479i
$707$	−6.79030	+	9.34604i	−0.255375	+	0.351494i
$708$	−6.13160	+	10.1758i	−0.230440	+	0.382431i
$709$	−0.860744	+	2.64910i	−0.0323259	+	0.0994890i	−0.965918	−	0.258850i	$-0.916657\pi$
$709$	−0.860744	+	2.64910i	−0.0323259	+	0.0994890i	0.933592	+	0.358339i	$0.116657\pi$
$710$	2.84355	−	8.75154i	0.106717	−	0.328440i
$711$	29.2139	+	4.18037i	1.09561	+	0.156776i
$712$	6.64328	−	9.14369i	0.248968	−	0.342674i
$713$	76.0385	−	24.7064i	2.84767	−	0.925262i
$714$	−8.80353	+	3.72388i	−0.329464	+	0.139363i
$715$	−3.90956	+	3.58412i	−0.146209	+	0.134039i
$716$		−	12.6971i		−	0.474512i
$717$	−13.0502	+	11.3157i	−0.487369	+	0.422593i
$718$	0.346004	+	0.251387i	0.0129128	+	0.00938168i
$719$	13.3890	+	18.4284i	0.499326	+	0.687264i	0.982074	−	0.188496i	$-0.0603611\pi$
$719$	13.3890	+	18.4284i	0.499326	+	0.687264i	−0.482748	+	0.875760i	$0.660361\pi$
$720$	1.67213	−	0.883725i	0.0623167	−	0.0329345i
$721$	4.00544	+	1.30145i	0.149170	+	0.0484684i
$722$	−13.9360	+	10.1251i	−0.518644	+	0.376817i
$723$	26.8905	+	6.24364i	1.00007	+	0.232203i
$724$	7.77978	+	23.9437i	0.289133	+	0.889861i
$725$	−4.02454			−0.149468
$726$	0.0149836	−	19.0526i	0.000556094	−	0.707107i
$727$	34.4923			1.27925			0.639624	−	0.768688i	$-0.279090\pi$
$727$	34.4923			1.27925			0.639624	+	0.768688i	$0.279090\pi$
$728$	0.783858	+	2.41247i	0.0290517	+	0.0894120i
$729$	−5.41506	−	26.4514i	−0.200558	−	0.979682i
$730$	1.44186	−	1.04757i	0.0533657	−	0.0387725i
$731$	16.4868	+	5.35688i	0.609786	+	0.198132i
$732$	1.79735	+	20.8444i	0.0664319	+	0.770429i
$733$	8.22700	+	11.3235i	0.303871	+	0.418243i	0.933458	−	0.358688i	$-0.116776\pi$
$733$	8.22700	+	11.3235i	0.303871	+	0.418243i	−0.629586	+	0.776930i	$0.716776\pi$
$734$	−1.45752	−	1.05895i	−0.0537981	−	0.0390866i
$735$	−0.715344	−	0.824994i	−0.0263859	−	0.0304303i
$736$		−	8.39152i		−	0.309316i
$737$	4.93657	−	4.52565i	0.181841	−	0.166705i
$738$	−8.23402	+	8.48396i	−0.303098	+	0.312299i
$739$	47.1724	−	15.3272i	1.73526	−	0.563821i	0.741070	−	0.671428i	$-0.234319\pi$
$739$	47.1724	−	15.3272i	1.73526	−	0.563821i	0.994194	+	0.107606i	$0.0343186\pi$
$740$	−0.572527	+	0.788015i	−0.0210465	+	0.0289680i
$741$	5.01246	+	3.02034i	0.184137	+	0.110955i
$742$	0.915255	−	2.81686i	0.0336001	−	0.103410i
$743$	−3.78938	+	11.6625i	−0.139019	+	0.427856i	−0.996193	−	0.0871698i	$-0.972218\pi$
$743$	−3.78938	+	11.6625i	−0.139019	+	0.427856i	0.857175	+	0.515026i	$0.172218\pi$
$744$	−14.1347	−	8.51707i	−0.518202	−	0.312251i
$745$	4.80005	−	6.60670i	0.175860	−	0.242051i
$746$	−1.20017	+	0.389960i	−0.0439414	+	0.0142774i
$747$	24.0910	−	24.8223i	0.881445	−	0.908201i
$748$	15.9327	+	9.00941i	0.582558	+	0.329417i
$749$			13.3005i			0.485989i
$750$	6.86914	+	7.92205i	0.250825	+	0.289272i
$751$	33.8547	+	24.5969i	1.23538	+	0.897554i	0.997281	−	0.0736882i	$-0.0234770\pi$
$751$	33.8547	+	24.5969i	1.23538	+	0.897554i	0.238095	+	0.971242i	$0.423477\pi$
$752$	1.24469	+	1.71316i	0.0453890	+	0.0624726i
$753$	−2.70724	−	31.3966i	−0.0986574	−	1.14416i
$754$	2.10949	+	0.685416i	0.0768232	+	0.0249614i
$755$	7.45185	−	5.41409i	0.271201	−	0.197039i
$756$	−4.36846	+	2.81364i	−0.158879	+	0.102331i
$757$	−10.5531	−	32.4791i	−0.383559	−	1.18047i	−0.937521	−	0.347930i	$-0.886885\pi$
$757$	−10.5531	−	32.4791i	−0.383559	−	1.18047i	0.553962	−	0.832542i	$-0.313115\pi$
$758$	25.0911			0.911351
$759$	−41.9802	+	23.6948i	−1.52379	+	0.860067i
$760$	−0.839721			−0.0304599
$761$	−14.6982	−	45.2365i	−0.532810	−	1.63982i	−0.748334	−	0.663322i	$-0.769146\pi$
$761$	−14.6982	−	45.2365i	−0.532810	−	1.63982i	0.215524	−	0.976498i	$-0.430854\pi$
$762$	15.6442	+	3.63238i	0.566729	+	0.131587i
$763$	−15.1563	+	11.0117i	−0.548694	+	0.398650i
$764$	−20.7243	−	6.73375i	−0.749781	−	0.243618i
$765$	9.22806	−	4.87705i	0.333641	−	0.176330i
$766$	−3.50017	−	4.81756i	−0.126466	−	0.174066i
$767$	14.0761	+	10.2269i	0.508259	+	0.369272i
$768$	−1.30862	+	1.13469i	−0.0472207	+	0.0409446i
$769$			53.6365i			1.93418i	0.254434	+	0.967090i	$0.418111\pi$
$769$			53.6365i			1.93418i	−0.254434	+	0.967090i	$0.581889\pi$
$770$	−0.416382	+	2.04903i	−0.0150054	+	0.0738418i
$771$	12.7088	−	5.37578i	0.457695	−	0.193604i
$772$	−17.8519	+	5.80045i	−0.642506	+	0.208763i
$773$	−22.4085	+	30.8427i	−0.805979	+	1.10934i	0.185952	+	0.982559i	$0.440463\pi$
$773$	−22.4085	+	30.8427i	−0.805979	+	1.10934i	−0.991931	+	0.126777i	$0.959537\pi$
$774$	9.32846	+	1.33486i	0.335305	+	0.0479805i
$775$	13.5509	−	41.7054i	0.486763	−	1.49810i
$776$	1.98790	−	6.11813i	0.0713615	−	0.219628i
$777$	1.38116	−	2.29212i	0.0495487	−	0.0822295i
$778$	15.3281	−	21.0973i	0.549539	−	0.756376i
$779$	4.99228	−	1.62209i	0.178867	−	0.0581175i
$780$	−1.07907	−	2.55100i	−0.0386368	−	0.0913404i
$781$	44.0467	−	20.0856i	1.57612	−	0.718720i
$782$		−	46.3106i		−	1.65606i
$783$	−0.254834	+	4.53643i	−0.00910704	+	0.162119i
$784$	0.809017	+	0.587785i	0.0288935	+	0.0209923i
$785$	−4.62942	−	6.37185i	−0.165231	−	0.227421i
$786$	−11.0733	+	0.954816i	−0.394970	+	0.0340572i
$787$	5.70183	+	1.85264i	0.203248	+	0.0660394i	0.408872	−	0.912592i	$-0.365922\pi$
$787$	5.70183	+	1.85264i	0.203248	+	0.0660394i	−0.205624	+	0.978631i	$0.565922\pi$
$788$	−8.19000	+	5.95038i	−0.291757	+	0.211974i
$789$	2.43257	−	10.4767i	0.0866017	−	0.372982i
$790$	1.91642	+	5.89813i	0.0681831	+	0.209846i
$791$	−16.0295			−0.569943
$792$	9.37160	+	3.34263i	0.333005	+	0.118775i
$793$	30.6402			1.08806
$794$	−3.82681	−	11.7777i	−0.135808	−	0.417975i
$795$	−0.731467	+	3.15033i	−0.0259425	+	0.111731i
$796$	−18.8646	+	13.7060i	−0.668639	+	0.485795i
$797$	−17.5693	−	5.70862i	−0.622337	−	0.202210i	−0.0191596	−	0.999816i	$-0.506099\pi$
$797$	−17.5693	−	5.70862i	−0.622337	−	0.202210i	−0.603178	+	0.797607i	$0.706099\pi$
$798$	2.29852	−	0.198195i	0.0813669	−	0.00701603i
$799$	6.86909	+	9.45450i	0.243011	+	0.334476i
$800$	−3.72355	−	2.70531i	−0.131647	−	0.0956473i
$801$	14.9400	−	30.4378i	0.527878	−	1.07547i
$802$		−	27.0760i		−	0.956086i
$803$	9.18835	+	1.86716i	0.324250	+	0.0658908i
$804$	1.36253	+	3.22113i	0.0480528	+	0.113601i
$805$	5.03136	−	1.63479i	0.177332	−	0.0576187i
$806$	−14.2056	+	19.5524i	−0.500372	+	0.688702i
$807$	2.87550	−	4.77208i	0.101222	−	0.167985i
$808$	−3.56987	+	10.9869i	−0.125588	+	0.386519i
$809$	5.66184	−	17.4254i	0.199060	−	0.612643i	−0.800845	−	0.598871i	$-0.795616\pi$
$809$	5.66184	−	17.4254i	0.199060	−	0.612643i	0.999905	−	0.0137719i	$-0.00438386\pi$
$810$	4.48852	−	3.47076i	0.157711	−	0.121950i
$811$	9.62759	−	13.2512i	0.338070	−	0.465314i	−0.605806	−	0.795612i	$-0.707149\pi$
$811$	9.62759	−	13.2512i	0.338070	−	0.465314i	0.943877	+	0.330298i	$0.107149\pi$
$812$	0.831617	−	0.270209i	0.0291840	−	0.00948246i
$813$	10.6207	−	4.49253i	0.372484	−	0.157560i
$814$	−5.09124	+	0.581274i	−0.178448	+	0.0203736i
$815$			0.925030i			0.0324024i
$816$	−7.22191	+	6.26206i	−0.252818	+	0.219216i
$817$	−3.38489	−	2.45927i	−0.118422	−	0.0860389i
$818$	−2.60800	−	3.58960i	−0.0911864	−	0.125507i
$819$	3.55577	+	6.72803i	0.124249	+	0.235096i
$820$	−2.36287	−	0.767744i	−0.0825151	−	0.0268108i
$821$	−28.3622	+	20.6064i	−0.989849	+	0.719167i	−0.959888	−	0.280384i	$-0.909538\pi$
$821$	−28.3622	+	20.6064i	−0.989849	+	0.719167i	−0.0299609	+	0.999551i	$0.509538\pi$
$822$	1.14970	+	0.266945i	0.0401002	+	0.00931076i
$823$	1.87525	+	5.77143i	0.0653671	+	0.201179i	0.978406	−	0.206694i	$-0.0662705\pi$
$823$	1.87525	+	5.77143i	0.0653671	+	0.201179i	−0.913039	+	0.407873i	$0.866270\pi$
$824$	4.21157			0.146717
$825$	−3.01983	+	26.2666i	−0.105137	+	0.914487i
$826$	6.85915			0.238660
$827$	8.65051	+	26.6235i	0.300808	+	0.925791i	0.981208	+	0.192951i	$0.0618058\pi$
$827$	8.65051	+	26.6235i	0.300808	+	0.925791i	−0.680401	+	0.732840i	$0.738194\pi$
$828$	−4.30942	−	24.8030i	−0.149763	−	0.861963i
$829$	6.28298	−	4.56485i	0.218217	−	0.158544i	−0.473307	−	0.880898i	$-0.656940\pi$
$829$	6.28298	−	4.56485i	0.218217	−	0.158544i	0.691524	+	0.722354i	$0.256940\pi$
$830$	6.91328	+	2.24626i	0.239963	+	0.0779688i
$831$	−1.91335	−	22.1896i	−0.0663733	−	0.769750i
$832$	1.49099	+	2.05217i	0.0516906	+	0.0711461i
$833$	4.46475	+	3.24383i	0.154695	+	0.112392i
$834$	−15.0533	−	17.3607i	−0.521255	−	0.601154i
$835$			8.96831i			0.310361i
$836$	−2.98529	−	3.25635i	−0.103248	−	0.112623i
$837$	−46.1520	−	17.9153i	−1.59525	−	0.619243i
$838$	−18.3731	+	5.96978i	−0.634688	+	0.206222i
$839$	−18.3419	+	25.2455i	−0.633233	+	0.871571i	−0.998232	−	0.0594374i	$-0.981069\pi$
$839$	−18.3419	+	25.2455i	−0.633233	+	0.871571i	0.364999	+	0.931008i	$0.381069\pi$
$840$	−0.935270	−	0.563562i	−0.0322699	−	0.0194447i
$841$	−8.72522	+	26.8535i	−0.300870	+	0.925981i
$842$	3.27835	−	10.0897i	0.112980	−	0.347715i
$843$	0.965234	+	0.581617i	0.0332444	+	0.0200320i
$844$	−6.86390	+	9.44734i	−0.236265	+	0.325191i
$845$	3.93656	−	1.27907i	0.135422	−	0.0440012i
$846$	4.55873	+	4.42442i	0.156732	+	0.152115i
$847$	−9.42620	+	5.66981i	−0.323888	+	0.194817i
$848$		−	2.96183i		−	0.101710i
$849$	33.7852	+	38.9639i	1.15951	+	1.33724i
$850$	−20.5493	−	14.9299i	−0.704834	−	0.512092i
$851$	7.62076	+	10.4891i	0.261236	+	0.359561i
$852$	2.17188	+	25.1879i	0.0744075	+	0.862924i
$853$	24.6729	+	8.01672i	0.844785	+	0.274487i	0.699260	−	0.714867i	$-0.253513\pi$
$853$	24.6729	+	8.01672i	0.844785	+	0.274487i	0.145525	+	0.989355i	$0.453513\pi$
$854$	9.77224	−	7.09995i	0.334399	−	0.242955i
$855$	−2.48198	+	0.431234i	−0.0848819	+	0.0147479i
$856$	4.11008	+	12.6495i	0.140480	+	0.432351i
$857$	−37.7086			−1.28810			−0.644051	−	0.764983i	$-0.722747\pi$
$857$	−37.7086			−1.28810			−0.644051	+	0.764983i	$0.722747\pi$
$858$	6.05632	−	13.2536i	0.206759	−	0.452469i
$859$	−29.0890			−0.992504			−0.496252	−	0.868178i	$-0.665291\pi$
$859$	−29.0890			−0.992504			−0.496252	+	0.868178i	$0.665291\pi$
$860$	0.611942	+	1.88337i	0.0208671	+	0.0642222i
$861$	6.64898	+	1.54381i	0.226596	+	0.0526128i
$862$	−6.97886	+	5.07044i	−0.237701	+	0.172700i
$863$	−9.67850	−	3.14473i	−0.329460	−	0.107048i	0.139616	−	0.990206i	$-0.455413\pi$
$863$	−9.67850	−	3.14473i	−0.329460	−	0.107048i	−0.469076	+	0.883158i	$0.655413\pi$
$864$	−3.28519	+	4.02586i	−0.111764	+	0.136962i
$865$	0.673975	+	0.927647i	0.0229158	+	0.0315409i
$866$	28.1535	+	20.4547i	0.956695	+	0.695079i
$867$	−17.6094	+	15.2689i	−0.598045	+	0.518560i
$868$			9.52767i			0.323390i
$869$	−16.0593	+	28.4001i	−0.544774	+	0.963408i
$870$	−0.879371	+	0.371972i	−0.0298135	+	0.0126110i
$871$	4.87138	−	1.58281i	0.165061	−	0.0536314i
$872$	−11.0117	+	15.1563i	−0.372902	+	0.513256i
$873$	2.73374	−	19.1044i	0.0925232	−	0.646585i
$874$	−3.45398	+	10.6303i	−0.116833	+	0.359574i
$875$	1.87071	−	5.75746i	0.0632417	−	0.194638i
$876$	−2.52715	+	4.19399i	−0.0853846	+	0.141702i
$877$	23.5954	−	32.4762i	0.796759	−	1.09664i	−0.196475	−	0.980509i	$-0.562949\pi$
$877$	23.5954	−	32.4762i	0.796759	−	1.09664i	0.993233	−	0.116135i	$-0.0370507\pi$
$878$	−17.4018	+	5.65418i	−0.587281	+	0.190819i
$879$	−21.6433	−	51.1665i	−0.730011	−	1.72580i
$880$	0.237181	+	2.07741i	0.00799536	+	0.0700295i
$881$		−	14.2236i		−	0.479206i	−0.970871	−	0.239603i	$-0.922983\pi$
$881$		−	14.2236i		−	0.479206i	0.970871	−	0.239603i	$-0.0770173\pi$
$882$	2.69308	+	1.32186i	0.0906807	+	0.0445094i
$883$	45.5057	+	33.0618i	1.53139	+	1.11262i	0.955460	+	0.295121i	$0.0953598\pi$
$883$	45.5057	+	33.0618i	1.53139	+	1.11262i	0.575930	+	0.817499i	$0.304640\pi$
$884$	8.22836	+	11.3254i	0.276750	+	0.380913i
$885$	−7.46209	+	0.643435i	−0.250835	+	0.0216288i
$886$	−17.8679	−	5.80562i	−0.600283	−	0.195044i
$887$	−3.15838	+	2.29469i	−0.106048	+	0.0770483i	−0.639545	−	0.768753i	$-0.720877\pi$
$887$	−3.15838	+	2.29469i	−0.106048	+	0.0770483i	0.533497	+	0.845802i	$0.320877\pi$
$888$	0.605252	−	2.60674i	0.0203109	−	0.0874765i
$889$	−2.86534	−	8.81861i	−0.0961004	−	0.295767i
$890$	7.12528			0.238840
$891$	29.4164	+	5.06714i	0.985486	+	0.169756i
$892$	8.02305			0.268632
$893$	−0.871606	−	2.68253i	−0.0291672	−	0.0897674i
$894$	−5.07442	+	21.8549i	−0.169714	+	0.730936i
$895$	6.47589	−	4.70501i	0.216465	−	0.157271i
$896$	0.951057	+	0.309017i	0.0317726	+	0.0103235i
$897$	−36.7323	+	3.16732i	−1.22645	+	0.105754i
$898$	−2.91041	−	4.00584i	−0.0971218	−	0.133677i
$899$	6.74002	+	4.89691i	0.224792	+	0.163321i
$900$	−12.3951	−	6.08394i	−0.413168	−	0.202798i
$901$		−	16.3455i		−	0.544549i
$902$	−5.42302	−	11.8924i	−0.180567	−	0.395973i
$903$	−2.11956	−	5.01080i	−0.0705345	−	0.166749i
$904$	−15.2449	+	4.95338i	−0.507039	+	0.164747i
$905$	−9.32915	+	12.8405i	−0.310111	+	0.426832i
$906$	−13.0609	+	21.6754i	−0.433918	+	0.720118i
$907$	3.13807	−	9.65798i	0.104198	−	0.320688i	−0.885344	−	0.464937i	$-0.846077\pi$
$907$	3.13807	−	9.65798i	0.104198	−	0.320688i	0.989541	+	0.144250i	$0.0460768\pi$
$908$	0.228344	−	0.702771i	0.00757786	−	0.0233223i
$909$	−4.90925	+	34.3076i	−0.162830	+	1.13791i
$910$	−0.939965	+	1.29375i	−0.0311595	+	0.0428874i
$911$	−34.4652	+	11.1984i	−1.14188	+	0.371020i	−0.818080	−	0.575104i	$-0.804962\pi$
$911$	−34.4652	+	11.1984i	−1.14188	+	0.371020i	−0.323803	+	0.946124i	$0.604962\pi$
$912$	2.12478	−	0.898778i	0.0703585	−	0.0297615i
$913$	15.8666	+	34.7947i	0.525109	+	1.15154i
$914$			14.4066i			0.476527i
$915$	−9.96522	+	8.64075i	−0.329440	+	0.285654i
$916$	−5.02482	−	3.65075i	−0.166025	−	0.120624i
$917$	3.77174	+	5.19136i	0.124554	+	0.171434i
$918$	−18.1301	+	22.2177i	−0.598382	+	0.733292i
$919$	−23.8053	−	7.73482i	−0.785265	−	0.255148i	−0.111179	−	0.993800i	$-0.535463\pi$
$919$	−23.8053	−	7.73482i	−0.785265	−	0.255148i	−0.674087	+	0.738652i	$0.735463\pi$
$920$	4.27993	−	3.10955i	0.141105	−	0.102519i
$921$	−9.81061	−	2.27790i	−0.323270	−	0.0750593i
$922$	−4.86230	−	14.9646i	−0.160131	−	0.492834i
$923$	37.0250			1.21869
$924$	−1.13954	−	5.63040i	−0.0374882	−	0.185227i
$925$	7.11112			0.233812
$926$	12.1953	+	37.5333i	0.400762	+	1.23342i
$927$	12.4482	−	2.16283i	0.408853	−	0.0710366i
$928$	0.707415	−	0.513967i	0.0232220	−	0.0168718i
$929$	12.0350	+	3.91040i	0.394855	+	0.128296i	0.499713	−	0.866191i	$-0.333439\pi$
$929$	12.0350	+	3.91040i	0.394855	+	0.128296i	−0.104858	+	0.994487i	$0.533439\pi$
$930$	−0.893760	−	10.3652i	−0.0293075	−	0.339888i
$931$	−0.782917	−	1.07759i	−0.0256591	−	0.0353167i
$932$	17.0069	+	12.3563i	0.557081	+	0.404743i
$933$	19.0393	+	21.9577i	0.623319	+	0.718863i
$934$			16.9894i			0.555911i
$935$	1.30894	+	11.4647i	0.0428069	+	0.374935i
$936$	5.46081	+	5.29994i	0.178492	+	0.173234i
$937$	−27.2419	+	8.85143i	−0.889954	+	0.289164i	−0.718084	−	0.695956i	$-0.754981\pi$
$937$	−27.2419	+	8.85143i	−0.889954	+	0.289164i	−0.171870	+	0.985120i	$0.554981\pi$
$938$	1.18689	−	1.63361i	0.0387533	−	0.0533393i
$939$	29.6999	+	17.8962i	0.969221	+	0.584020i
$940$	−0.412536	+	1.26965i	−0.0134554	+	0.0414115i
$941$	4.97507	−	15.3117i	0.162183	−	0.499147i	−0.836635	−	0.547761i	$-0.815480\pi$
$941$	4.97507	−	15.3117i	0.162183	−	0.499147i	0.998818	+	0.0486139i	$0.0154804\pi$
$942$	18.5340	+	11.1680i	0.603870	+	0.363872i
$943$	−19.4382	+	26.7544i	−0.632994	+	0.871242i
$944$	6.52344	−	2.11959i	0.212320	−	0.0689869i
$945$	−3.05381	−	1.18543i	−0.0993404	−	0.0385620i
$946$	−5.12798	+	9.06860i	−0.166725	+	0.294846i
$947$		−	23.3650i		−	0.759259i	−0.925139	−	0.379630i	$-0.876051\pi$
$947$		−	23.3650i		−	0.759259i	0.925139	−	0.379630i	$-0.123949\pi$
$948$	−11.1621	−	12.8731i	−0.362529	−	0.418098i
$949$	5.80150	+	4.21504i	0.188325	+	0.136826i
$950$	3.60342	+	4.95968i	0.116910	+	0.160913i
$951$	−2.35998	−	27.3693i	−0.0765275	−	0.887510i
$952$	5.24863	+	1.70538i	0.170109	+	0.0552718i
$953$	−9.63244	+	6.99838i	−0.312025	+	0.226700i	−0.732765	−	0.680482i	$-0.761771\pi$
$953$	−9.63244	+	6.99838i	−0.312025	+	0.226700i	0.420740	+	0.907181i	$0.361771\pi$
$954$	−1.52103	−	8.75432i	−0.0492452	−	0.283432i
$955$	−4.24517	−	13.0653i	−0.137370	−	0.422783i
$956$	9.97252			0.322534
$957$	−4.56872	−	2.08771i	−0.147686	−	0.0674862i
$958$	−23.6178			−0.763056
$959$	−0.210575	−	0.648083i	−0.00679981	−	0.0209277i
$960$	−1.06364	−	0.246965i	−0.0343290	−	0.00797076i
$961$	−48.3602	+	35.1357i	−1.56001	+	1.13341i
$962$	−3.72735	−	1.21109i	−0.120175	−	0.0390471i
$963$	18.6443	+	35.2777i	0.600805	+	1.13681i
$964$	−9.36826	−	12.8943i	−0.301731	−	0.415298i
$965$	−9.57359	−	6.95562i	−0.308185	−	0.223909i
$966$	−10.9813	+	9.52178i	−0.353317	+	0.306358i
$967$		−	45.8950i		−	1.47588i	−0.674865	−	0.737941i	$-0.735798\pi$
$967$		−	45.8950i		−	1.47588i	0.674865	−	0.737941i	$-0.264202\pi$
$968$	−7.21278	+	8.30516i	−0.231828	+	0.266938i
$969$	11.7261	−	4.96012i	0.376697	−	0.159342i
$970$	3.85707	−	1.25324i	0.123843	−	0.0402390i
$971$	20.1910	−	27.7905i	0.647959	−	0.891839i	−0.351050	−	0.936357i	$-0.614175\pi$
$971$	20.1910	−	27.7905i	0.647959	−	0.891839i	0.999009	+	0.0445181i	$0.0141752\pi$
$972$	−7.64264	+	13.5864i	−0.245138	+	0.435784i
$973$	−4.09957	+	12.6172i	−0.131426	+	0.404488i
$974$	6.94886	−	21.3864i	0.222656	−	0.685264i
$975$	−10.4366	+	17.3202i	−0.334238	+	0.554691i
$976$	7.09995	−	9.77224i	0.227264	−	0.312802i
$977$	32.4211	−	10.5342i	1.03724	−	0.337020i	0.259592	−	0.965718i	$-0.416412\pi$
$977$	32.4211	−	10.5342i	1.03724	−	0.337020i	0.777649	+	0.628698i	$0.216412\pi$
$978$	−0.990086	−	2.34064i	−0.0316595	−	0.0748454i
$979$	25.3311	+	27.6311i	0.809585	+	0.883095i
$980$			0.630432i			0.0201384i
$981$	−24.7640	+	50.4527i	−0.790654	+	1.61083i
$982$	−11.7331	−	8.52463i	−0.374420	−	0.272032i
$983$	7.30892	+	10.0599i	0.233118	+	0.320860i	0.909510	−	0.415683i	$-0.136457\pi$
$983$	7.30892	+	10.0599i	0.233118	+	0.320860i	−0.676392	+	0.736542i	$0.736457\pi$
$984$	6.80061	−	0.586398i	0.216796	−	0.0186937i
$985$	−6.06975	−	1.97218i	−0.193398	−	0.0628389i
$986$	3.90404	−	2.83645i	0.124330	−	0.0903310i
$987$	0.829542	−	3.57273i	0.0264046	−	0.113721i
$988$	−1.04408	−	3.21335i	−0.0332166	−	0.102230i
$989$	26.3591			0.838171
$990$	1.76788	+	6.01843i	0.0561870	+	0.191278i
$991$	−62.8993			−1.99806			−0.999031	−	0.0440157i	$-0.985985\pi$
$991$	−62.8993			−1.99806			−0.999031	+	0.0440157i	$0.985985\pi$
$992$	2.94421	+	9.06135i	0.0934788	+	0.287698i
$993$	−9.37890	+	40.3936i	−0.297630	+	1.28185i
$994$	11.8086	−	8.57944i	0.374546	−	0.272123i
$995$	−13.9809	−	4.54267i	−0.443224	−	0.144012i
$996$	−19.8972	+	1.71568i	−0.630467	+	0.0543633i
$997$	−25.3494	−	34.8904i	−0.802823	−	1.10499i	−0.992391	−	0.123123i	$-0.960709\pi$
$997$	−25.3494	−	34.8904i	−0.802823	−	1.10499i	0.189569	−	0.981867i	$-0.439291\pi$
$998$	−28.8722	−	20.9769i	−0.913933	−	0.664011i
$999$	0.450277	−	8.01561i	0.0142461	−	0.253603i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	462.2.w.a.281.8	✓	48
3.2	odd	2		462.2.w.b.281.2	yes	48
11.2	odd	10		462.2.w.b.365.2	yes	48
33.2	even	10	inner	462.2.w.a.365.8	yes	48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
462.2.w.a.281.8	✓	48	1.1	even	1	trivial
462.2.w.a.365.8	yes	48	33.2	even	10	inner
462.2.w.b.281.2	yes	48	3.2	odd	2
462.2.w.b.365.2	yes	48	11.2	odd	10

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)

\(f(q)\)	\(=\)	\(q+(0.309017 + 0.951057i) q^{2} +(0.391739 - 1.68717i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-0.599576 - 0.194814i) q^{5} +(1.72565 - 0.148798i) q^{6} +(-0.587785 - 0.809017i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(-2.69308 - 1.32186i) q^{9} +O(q^{10})\)	\(q+(0.309017 + 0.951057i) q^{2} +(0.391739 - 1.68717i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-0.599576 - 0.194814i) q^{5} +(1.72565 - 0.148798i) q^{6} +(-0.587785 - 0.809017i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(-2.69308 - 1.32186i) q^{9} -0.630432i q^{10} +(2.44475 - 2.24125i) q^{11} +(0.674769 + 1.59521i) q^{12} +(2.41247 - 0.783858i) q^{13} +(0.587785 - 0.809017i) q^{14} +(-0.563562 + 0.935270i) q^{15} +(0.309017 - 0.951057i) q^{16} +(1.70538 - 5.24863i) q^{17} +(0.424957 - 2.96975i) q^{18} +(-0.782917 + 1.07759i) q^{19} +(0.599576 - 0.194814i) q^{20} +(-1.59521 + 0.674769i) q^{21} +(2.88702 + 1.63251i) q^{22} -8.39152i q^{23} +(-1.30862 + 1.13469i) q^{24} +(-3.72355 - 2.70531i) q^{25} +(1.49099 + 2.05217i) q^{26} +(-3.28519 + 4.02586i) q^{27} +(0.951057 + 0.309017i) q^{28} +(0.707415 - 0.513967i) q^{29} +(-1.06364 - 0.246965i) q^{30} +(2.94421 + 9.06135i) q^{31} +1.00000 q^{32} +(-2.82366 - 5.00269i) q^{33} +5.51874 q^{34} +(0.194814 + 0.599576i) q^{35} +(2.95572 - 0.513545i) q^{36} +(-1.24996 + 0.908150i) q^{37} +(-1.26679 - 0.411604i) q^{38} +(-0.377443 - 4.37731i) q^{39} +(0.370558 + 0.510030i) q^{40} +(-3.18826 - 2.31641i) q^{41} +(-1.13469 - 1.30862i) q^{42} +3.14116i q^{43} +(-0.660472 + 3.25020i) q^{44} +(1.35719 + 1.31721i) q^{45} +(7.98081 - 2.59312i) q^{46} +(-1.24469 + 1.71316i) q^{47} +(-1.48354 - 0.893930i) q^{48} +(-0.309017 + 0.951057i) q^{49} +(1.42227 - 4.37729i) q^{50} +(-8.18726 - 4.93337i) q^{51} +(-1.49099 + 2.05217i) q^{52} +(2.81686 - 0.915255i) q^{53} +(-4.84400 - 1.88034i) q^{54} +(-1.90244 + 0.867527i) q^{55} +1.00000i q^{56} +(1.51138 + 1.74305i) q^{57} +(0.707415 + 0.513967i) q^{58} +(4.03171 + 5.54917i) q^{59} +(-0.0938068 - 1.08790i) q^{60} +(11.4880 + 3.73266i) q^{61} +(-7.70804 + 5.60022i) q^{62} +(0.513545 + 2.95572i) q^{63} +(0.309017 + 0.951057i) q^{64} -1.59916 q^{65} +(3.88529 - 4.23138i) q^{66} +2.01926 q^{67} +(1.70538 + 5.24863i) q^{68} +(-14.1579 - 3.28729i) q^{69} +(-0.510030 + 0.370558i) q^{70} +(13.8818 + 4.51048i) q^{71} +(1.40178 + 2.65236i) q^{72} +(1.66168 + 2.28710i) q^{73} +(-1.24996 - 0.908150i) q^{74} +(-6.02298 + 5.22247i) q^{75} -1.33198i q^{76} +(-3.25020 - 0.660472i) q^{77} +(4.04643 - 1.71163i) q^{78} +(-9.35570 + 3.03985i) q^{79} +(-0.370558 + 0.510030i) q^{80} +(5.50537 + 7.11976i) q^{81} +(1.21781 - 3.74802i) q^{82} +(-3.56305 + 10.9659i) q^{83} +(0.893930 - 1.48354i) q^{84} +(-2.04501 + 2.81472i) q^{85} +(-2.98742 + 0.970672i) q^{86} +(-0.590028 - 1.39487i) q^{87} +(-3.29522 + 0.376220i) q^{88} +11.3022i q^{89} +(-0.833343 + 1.69780i) q^{90} +(-2.05217 - 1.49099i) q^{91} +(4.93241 + 6.78888i) q^{92} +(16.4414 - 1.41769i) q^{93} +(-2.01394 - 0.654370i) q^{94} +(0.679348 - 0.493575i) q^{95} +(0.391739 - 1.68717i) q^{96} +(1.98790 + 6.11813i) q^{97} -1.00000 q^{98} +(-9.54653 + 2.80424i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q - 12 q^{2} - 4 q^{3} - 12 q^{4} + 6 q^{6} - 12 q^{8} + 10 q^{9}+O(q^{10}) \) 48 * q - 12 * q^2 - 4 * q^3 - 12 * q^4 + 6 * q^6 - 12 * q^8 + 10 * q^9	\( 48 q - 12 q^{2} - 4 q^{3} - 12 q^{4} + 6 q^{6} - 12 q^{8} + 10 q^{9} - 8 q^{11} + 6 q^{12} + 36 q^{15} - 12 q^{16} - 24 q^{17} + 30 q^{19} - 8 q^{22} - 4 q^{24} + 18 q^{25} - 20 q^{26} - 22 q^{27} + 8 q^{29} - 24 q^{30} - 32 q^{31} + 48 q^{32} - 14 q^{33} - 4 q^{34} + 6 q^{35} - 10 q^{36} - 20 q^{37} + 20 q^{38} - 6 q^{39} + 22 q^{44} + 12 q^{45} + 20 q^{46} + 20 q^{47} - 4 q^{48} + 12 q^{49} + 28 q^{50} + 8 q^{51} + 20 q^{52} + 20 q^{53} + 18 q^{54} + 16 q^{55} - 2 q^{57} + 8 q^{58} + 30 q^{59} - 4 q^{60} - 20 q^{61} + 8 q^{62} + 4 q^{63} - 12 q^{64} - 14 q^{66} + 36 q^{67} - 24 q^{68} - 70 q^{69} - 4 q^{70} + 10 q^{72} - 20 q^{73} - 20 q^{74} - 30 q^{75} - 16 q^{77} - 16 q^{78} - 20 q^{79} + 26 q^{81} - 10 q^{82} - 46 q^{83} - 10 q^{84} + 10 q^{85} - 30 q^{86} + 8 q^{87} - 8 q^{88} - 38 q^{90} - 36 q^{91} + 10 q^{92} - 36 q^{93} + 50 q^{95} - 4 q^{96} - 2 q^{97} - 48 q^{98} + 70 q^{99}+O(q^{100}) \) 48 * q - 12 * q^2 - 4 * q^3 - 12 * q^4 + 6 * q^6 - 12 * q^8 + 10 * q^9 - 8 * q^11 + 6 * q^12 + 36 * q^15 - 12 * q^16 - 24 * q^17 + 30 * q^19 - 8 * q^22 - 4 * q^24 + 18 * q^25 - 20 * q^26 - 22 * q^27 + 8 * q^29 - 24 * q^30 - 32 * q^31 + 48 * q^32 - 14 * q^33 - 4 * q^34 + 6 * q^35 - 10 * q^36 - 20 * q^37 + 20 * q^38 - 6 * q^39 + 22 * q^44 + 12 * q^45 + 20 * q^46 + 20 * q^47 - 4 * q^48 + 12 * q^49 + 28 * q^50 + 8 * q^51 + 20 * q^52 + 20 * q^53 + 18 * q^54 + 16 * q^55 - 2 * q^57 + 8 * q^58 + 30 * q^59 - 4 * q^60 - 20 * q^61 + 8 * q^62 + 4 * q^63 - 12 * q^64 - 14 * q^66 + 36 * q^67 - 24 * q^68 - 70 * q^69 - 4 * q^70 + 10 * q^72 - 20 * q^73 - 20 * q^74 - 30 * q^75 - 16 * q^77 - 16 * q^78 - 20 * q^79 + 26 * q^81 - 10 * q^82 - 46 * q^83 - 10 * q^84 + 10 * q^85 - 30 * q^86 + 8 * q^87 - 8 * q^88 - 38 * q^90 - 36 * q^91 + 10 * q^92 - 36 * q^93 + 50 * q^95 - 4 * q^96 - 2 * q^97 - 48 * q^98 + 70 * q^99

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