LMFDB - Embedded newform 462.2.w.b.365.6

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			365.6
Character	$\chi$	$=$	462.365
Dual form			462.2.w.b.281.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.309017 + 0.951057i) q^{2} +(-0.777671 - 1.54765i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-1.20361 + 0.391077i) q^{5} +(1.71222 - 0.261358i) q^{6} +(0.587785 - 0.809017i) q^{7} +(0.809017 - 0.587785i) q^{8} +(-1.79046 + 2.40713i) q^{9} +O(q^{10})$	\(q+(-0.309017 + 0.951057i) q^{2} +(-0.777671 - 1.54765i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-1.20361 + 0.391077i) q^{5} +(1.71222 - 0.261358i) q^{6} +(0.587785 - 0.809017i) q^{7} +(0.809017 - 0.587785i) q^{8} +(-1.79046 + 2.40713i) q^{9} -1.26555i q^{10} +(-3.11275 + 1.14489i) q^{11} +(-0.280538 + 1.70918i) q^{12} +(-0.142725 - 0.0463742i) q^{13} +(0.587785 + 0.809017i) q^{14} +(1.54126 + 1.55864i) q^{15} +(0.309017 + 0.951057i) q^{16} +(0.379364 + 1.16756i) q^{17} +(-1.73603 - 2.44667i) q^{18} +(2.43237 + 3.34788i) q^{19} +(1.20361 + 0.391077i) q^{20} +(-1.70918 - 0.280538i) q^{21} +(-0.126956 - 3.31419i) q^{22} +7.98930i q^{23} +(-1.53884 - 0.794973i) q^{24} +(-2.74935 + 1.99752i) q^{25} +(0.0882090 - 0.121409i) q^{26} +(5.11778 + 0.899048i) q^{27} +(-0.951057 + 0.309017i) q^{28} +(-4.28495 - 3.11320i) q^{29} +(-1.95863 + 0.984183i) q^{30} +(-1.38692 + 4.26849i) q^{31} -1.00000 q^{32} +(4.19258 + 3.92712i) q^{33} -1.22765 q^{34} +(-0.391077 + 1.20361i) q^{35} +(2.86338 - 0.895005i) q^{36} +(-6.04544 - 4.39227i) q^{37} +(-3.93566 + 1.27878i) q^{38} +(0.0392221 + 0.256953i) q^{39} +(-0.743872 + 1.02385i) q^{40} +(-7.89214 + 5.73398i) q^{41} +(0.794973 - 1.53884i) q^{42} +4.38794i q^{43} +(3.19122 + 0.903399i) q^{44} +(1.21364 - 3.59745i) q^{45} +(-7.59828 - 2.46883i) q^{46} +(1.64278 + 2.26109i) q^{47} +(1.23159 - 1.21786i) q^{48} +(-0.309017 - 0.951057i) q^{49} +(-1.05016 - 3.23205i) q^{50} +(1.51196 - 1.49510i) q^{51} +(0.0882090 + 0.121409i) q^{52} +(5.52399 + 1.79485i) q^{53} +(-2.43653 + 4.58948i) q^{54} +(3.29881 - 2.59532i) q^{55} -1.00000i q^{56} +(3.28976 - 6.36802i) q^{57} +(4.28495 - 3.11320i) q^{58} +(8.64390 - 11.8973i) q^{59} +(-0.330762 - 2.16690i) q^{60} +(-2.40987 + 0.783013i) q^{61} +(-3.63099 - 2.63807i) q^{62} +(0.895005 + 2.86338i) q^{63} +(0.309017 - 0.951057i) q^{64} +0.189921 q^{65} +(-5.03049 + 2.77384i) q^{66} -12.1494 q^{67} +(0.379364 - 1.16756i) q^{68} +(12.3647 - 6.21305i) q^{69} +(-1.02385 - 0.743872i) q^{70} +(5.97482 - 1.94134i) q^{71} +(-0.0336340 + 2.99981i) q^{72} +(6.32399 - 8.70422i) q^{73} +(6.04544 - 4.39227i) q^{74} +(5.22955 + 2.70162i) q^{75} -4.13820i q^{76} +(-0.903399 + 3.19122i) q^{77} +(-0.256497 - 0.0421004i) q^{78} +(-10.3548 - 3.36448i) q^{79} +(-0.743872 - 1.02385i) q^{80} +(-2.58854 - 8.61971i) q^{81} +(-3.01453 - 9.27777i) q^{82} +(3.01551 + 9.28079i) q^{83} +(1.21786 + 1.23159i) q^{84} +(-0.913213 - 1.25693i) q^{85} +(-4.17318 - 1.35595i) q^{86} +(-1.48587 + 9.05266i) q^{87} +(-1.84532 + 2.75586i) q^{88} +1.07013i q^{89} +(3.04635 + 2.26591i) q^{90} +(-0.121409 + 0.0882090i) q^{91} +(4.69599 - 6.46348i) q^{92} +(7.68470 - 1.17302i) q^{93} +(-2.65807 + 0.863658i) q^{94} +(-4.23691 - 3.07830i) q^{95} +(0.777671 + 1.54765i) q^{96} +(-3.06249 + 9.42539i) q^{97} +1.00000 q^{98} +(2.81736 - 9.54267i) 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 $\left(\mathbb{Z}/462\mathbb{Z}\right)^\times$.

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

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
$3$	−0.777671	−	1.54765i	−0.448989	−	0.893537i
$3$	−0.777671	−	1.54765i	−0.448989	−	0.893537i
$4$	−0.809017	−	0.587785i	−0.404508	−	0.293893i
$5$	−1.20361	+	0.391077i	−0.538271	+	0.174895i	−0.565521	−	0.824734i	$-0.691325\pi$
$5$	−1.20361	+	0.391077i	−0.538271	+	0.174895i	0.0272501	+	0.999629i	$0.491325\pi$
$6$	1.71222	−	0.261358i	0.699010	−	0.106699i
$7$	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
$9$	−1.79046	+	2.40713i	−0.596818	+	0.802376i
$10$		−	1.26555i		−	0.400202i
$11$	−3.11275	+	1.14489i	−0.938531	+	0.345196i
$11$	−3.11275	+	1.14489i	−0.938531	+	0.345196i
$12$	−0.280538	+	1.70918i	−0.0809844	+	0.493398i
$13$	−0.142725	−	0.0463742i	−0.0395848	−	0.0128619i	0.289158	−	0.957281i	$-0.406625\pi$
$13$	−0.142725	−	0.0463742i	−0.0395848	−	0.0128619i	−0.328742	+	0.944420i	$0.606625\pi$
$14$	0.587785	+	0.809017i	0.157092	+	0.216219i
$15$	1.54126	+	1.55864i	0.397953	+	0.402440i
$16$	0.309017	+	0.951057i	0.0772542	+	0.237764i
$17$	0.379364	+	1.16756i	0.0920093	+	0.283176i	0.986463	−	0.163986i	$-0.0524351\pi$
$17$	0.379364	+	1.16756i	0.0920093	+	0.283176i	−0.894453	+	0.447161i	$0.852435\pi$
$18$	−1.73603	−	2.44667i	−0.409187	−	0.576685i
$19$	2.43237	+	3.34788i	0.558025	+	0.768056i	0.991074	−	0.133315i	$-0.0425622\pi$
$19$	2.43237	+	3.34788i	0.558025	+	0.768056i	−0.433049	+	0.901371i	$0.642562\pi$
$20$	1.20361	+	0.391077i	0.269136	+	0.0874475i
$21$	−1.70918	−	0.280538i	−0.372974	−	0.0612184i
$22$	−0.126956	−	3.31419i	−0.0270672	−	0.706589i
$23$			7.98930i			1.66588i	0.553360	+	0.832942i	$0.313345\pi$
$23$			7.98930i			1.66588i	−0.553360	+	0.832942i	$0.686655\pi$
$24$	−1.53884	−	0.794973i	−0.314114	−	0.162273i
$25$	−2.74935	+	1.99752i	−0.549869	+	0.399503i
$26$	0.0882090	−	0.121409i	0.0172992	−	0.0238103i
$27$	5.11778	+	0.899048i	0.984918	+	0.173022i
$28$	−0.951057	+	0.309017i	−0.179733	+	0.0583987i
$29$	−4.28495	−	3.11320i	−0.795695	−	0.578106i	0.113953	−	0.993486i	$-0.463649\pi$
$29$	−4.28495	−	3.11320i	−0.795695	−	0.578106i	−0.909648	+	0.415380i	$0.863649\pi$
$30$	−1.95863	+	0.984183i	−0.357596	+	0.179686i
$31$	−1.38692	+	4.26849i	−0.249097	+	0.766643i	0.745838	+	0.666127i	$0.232049\pi$
$31$	−1.38692	+	4.26849i	−0.249097	+	0.766643i	−0.994935	+	0.100516i	$0.967951\pi$
$32$	−1.00000			−0.176777
$33$	4.19258	+	3.92712i	0.729835	+	0.683623i
$34$	−1.22765			−0.210540
$35$	−0.391077	+	1.20361i	−0.0661041	+	0.203447i
$36$	2.86338	−	0.895005i	0.477231	−	0.149167i
$37$	−6.04544	−	4.39227i	−0.993864	−	0.722085i	−0.0331002	−	0.999452i	$-0.510538\pi$
$37$	−6.04544	−	4.39227i	−0.993864	−	0.722085i	−0.960764	+	0.277368i	$0.910538\pi$
$38$	−3.93566	+	1.27878i	−0.638449	+	0.207445i
$39$	0.0392221	+	0.256953i	0.00628056	+	0.0411454i
$40$	−0.743872	+	1.02385i	−0.117617	+	0.161885i
$41$	−7.89214	+	5.73398i	−1.23255	+	0.895496i	−0.997078	−	0.0763859i	$-0.975662\pi$
$41$	−7.89214	+	5.73398i	−1.23255	+	0.895496i	−0.235467	+	0.971882i	$0.575662\pi$
$42$	0.794973	−	1.53884i	0.122667	−	0.237448i
$43$			4.38794i			0.669154i	0.942368	+	0.334577i	$0.108593\pi$
$43$			4.38794i			0.669154i	−0.942368	+	0.334577i	$0.891407\pi$
$44$	3.19122	+	0.903399i	0.481094	+	0.136193i
$45$	1.21364	−	3.59745i	0.180919	−	0.536277i
$46$	−7.59828	−	2.46883i	−1.12030	−	0.364009i
$47$	1.64278	+	2.26109i	0.239623	+	0.329813i	0.911843	−	0.410538i	$-0.134659\pi$
$47$	1.64278	+	2.26109i	0.239623	+	0.329813i	−0.672220	+	0.740351i	$0.734659\pi$
$48$	1.23159	−	1.21786i	0.177765	−	0.175783i
$49$	−0.309017	−	0.951057i	−0.0441453	−	0.135865i
$50$	−1.05016	−	3.23205i	−0.148515	−	0.457081i
$51$	1.51196	−	1.49510i	0.211717	−	0.209356i
$52$	0.0882090	+	0.121409i	0.0122324	+	0.0168364i
$53$	5.52399	+	1.79485i	0.758779	+	0.246542i	0.662755	−	0.748837i	$-0.269387\pi$
$53$	5.52399	+	1.79485i	0.758779	+	0.246542i	0.0960245	+	0.995379i	$0.469387\pi$
$54$	−2.43653	+	4.58948i	−0.331569	+	0.624549i
$55$	3.29881	−	2.59532i	0.444811	−	0.349953i
$56$		−	1.00000i		−	0.133631i
$57$	3.28976	−	6.36802i	0.435740	−	0.843464i
$58$	4.28495	−	3.11320i	0.562641	−	0.408783i
$59$	8.64390	−	11.8973i	1.12534	−	1.54890i	0.328708	−	0.944432i	$-0.393387\pi$
$59$	8.64390	−	11.8973i	1.12534	−	1.54890i	0.796632	−	0.604465i	$-0.206613\pi$
$60$	−0.330762	−	2.16690i	−0.0427012	−	0.279746i
$61$	−2.40987	+	0.783013i	−0.308552	+	0.100255i	−0.459200	−	0.888333i	$-0.651864\pi$
$61$	−2.40987	+	0.783013i	−0.308552	+	0.100255i	0.150648	+	0.988587i	$0.451864\pi$
$62$	−3.63099	−	2.63807i	−0.461137	−	0.335035i
$63$	0.895005	+	2.86338i	0.112760	+	0.360752i
$64$	0.309017	−	0.951057i	0.0386271	−	0.118882i
$65$	0.189921			0.0235569
$66$	−5.03049	+	2.77384i	−0.619210	+	0.341436i
$67$	−12.1494			−1.48428			−0.742142	−	0.670242i	$-0.766190\pi$
$67$	−12.1494			−1.48428			−0.742142	+	0.670242i	$0.766190\pi$
$68$	0.379364	−	1.16756i	0.0460047	−	0.141588i
$69$	12.3647	−	6.21305i	1.48853	−	0.747963i
$70$	−1.02385	−	0.743872i	−0.122374	−	0.0889098i
$71$	5.97482	−	1.94134i	0.709081	−	0.230394i	0.0677982	−	0.997699i	$-0.478403\pi$
$71$	5.97482	−	1.94134i	0.709081	−	0.230394i	0.641283	+	0.767305i	$0.278403\pi$
$72$	−0.0336340	+	2.99981i	−0.00396381	+	0.353531i
$73$	6.32399	−	8.70422i	0.740166	−	1.01875i	−0.258443	−	0.966027i	$-0.583209\pi$
$73$	6.32399	−	8.70422i	0.740166	−	1.01875i	0.998609	−	0.0527251i	$-0.0167907\pi$
$74$	6.04544	−	4.39227i	0.702768	−	0.510591i
$75$	5.22955	+	2.70162i	0.603856	+	0.311956i
$76$		−	4.13820i		−	0.474684i
$77$	−0.903399	+	3.19122i	−0.102952	+	0.363673i
$78$	−0.256497	−	0.0421004i	−0.0290426	−	0.00476693i
$79$	−10.3548	−	3.36448i	−1.16501	−	0.378534i	−0.338230	−	0.941063i	$-0.609828\pi$
$79$	−10.3548	−	3.36448i	−1.16501	−	0.378534i	−0.826777	+	0.562529i	$0.809828\pi$
$80$	−0.743872	−	1.02385i	−0.0831675	−	0.114470i
$81$	−2.58854	−	8.61971i	−0.287615	−	0.957746i
$82$	−3.01453	−	9.27777i	−0.332899	−	1.02456i
$83$	3.01551	+	9.28079i	0.330995	+	1.01870i	0.968661	+	0.248386i	$0.0799001\pi$
$83$	3.01551	+	9.28079i	0.330995	+	1.01870i	−0.637666	+	0.770313i	$0.720100\pi$
$84$	1.21786	+	1.23159i	0.132879	+	0.134378i
$85$	−0.913213	−	1.25693i	−0.0990519	−	0.136333i
$86$	−4.17318	−	1.35595i	−0.450005	−	0.146216i
$87$	−1.48587	+	9.05266i	−0.159302	+	0.970547i
$88$	−1.84532	+	2.75586i	−0.196712	+	0.293776i
$89$			1.07013i			0.113433i	0.998390	+	0.0567166i	$0.0180632\pi$
$89$			1.07013i			0.113433i	−0.998390	+	0.0567166i	$0.981937\pi$
$90$	3.04635	+	2.26591i	0.321113	+	0.238848i
$91$	−0.121409	+	0.0882090i	−0.0127271	+	0.00924681i
$92$	4.69599	−	6.46348i	0.489591	−	0.673864i
$93$	7.68470	−	1.17302i	0.796866	−	0.121636i
$94$	−2.65807	+	0.863658i	−0.274159	+	0.0890795i
$95$	−4.23691	−	3.07830i	−0.434698	−	0.315826i
$96$	0.777671	+	1.54765i	0.0793707	+	0.157957i
$97$	−3.06249	+	9.42539i	−0.310949	+	0.957003i	0.666441	+	0.745558i	$0.267817\pi$
$97$	−3.06249	+	9.42539i	−0.310949	+	0.957003i	−0.977390	+	0.211445i	$0.932183\pi$
$98$	1.00000			0.101015
$99$	2.81736	−	9.54267i	0.283155	−	0.959074i
$100$	3.39838			0.339838
$101$	0.471591	−	1.45141i	0.0469250	−	0.144420i	−0.924849	−	0.380335i	$-0.875809\pi$
$101$	0.471591	−	1.45141i	0.0469250	−	0.144420i	0.971774	+	0.235915i	$0.0758086\pi$
$102$	0.954706	+	1.89997i	0.0945300	+	0.188125i
$103$	3.25945	+	2.36813i	0.321164	+	0.233339i	0.736672	−	0.676250i	$-0.236396\pi$
$103$	3.25945	+	2.36813i	0.321164	+	0.233339i	−0.415508	+	0.909589i	$0.636396\pi$
$104$	−0.142725	+	0.0463742i	−0.0139954	+	0.00454737i
$105$	2.16690	−	0.330762i	0.211468	−	0.0322791i
$106$	−3.41402	+	4.69899i	−0.331599	+	0.456406i
$107$	2.67801	−	1.94569i	0.258893	−	0.188097i	−0.450766	−	0.892642i	$-0.648849\pi$
$107$	2.67801	−	1.94569i	0.258893	−	0.188097i	0.709659	+	0.704545i	$0.248849\pi$
$108$	−3.61193	−	3.73550i	−0.347558	−	0.359449i
$109$			1.95947i			0.187683i	0.995587	+	0.0938414i	$0.0299147\pi$
$109$			1.95947i			0.187683i	−0.995587	+	0.0938414i	$0.970085\pi$
$110$	1.44891	+	3.93935i	0.138148	+	0.375602i
$111$	−2.09634	+	12.7720i	−0.198976	+	1.21226i
$112$	0.951057	+	0.309017i	0.0898664	+	0.0291994i
$113$	−10.7866	−	14.8465i	−1.01472	−	1.39664i	−0.915843	−	0.401538i	$-0.868476\pi$
$113$	−10.7866	−	14.8465i	−1.01472	−	1.39664i	−0.0988740	−	0.995100i	$-0.531524\pi$
$114$	5.03975	+	5.09657i	0.472016	+	0.477338i
$115$	−3.12443	−	9.61601i	−0.291355	−	0.896697i
$116$	1.63671	+	5.03726i	0.151964	+	0.467698i
$117$	0.367172	−	0.260527i	0.0339450	−	0.0240857i
$118$	8.64390	+	11.8973i	0.795735	+	1.09524i
$119$	1.16756	+	0.379364i	0.107030	+	0.0347762i
$120$	2.16306	+	0.355035i	0.197459	+	0.0324101i
$121$	8.37848	−	7.12749i	0.761680	−	0.647954i
$122$		−	2.53388i		−	0.229407i
$123$	15.0117	+	7.75514i	1.35356	+	0.699258i
$124$	3.63099	−	2.63807i	0.326073	−	0.236906i
$125$	6.24732	−	8.59870i	0.558778	−	0.769091i
$126$	−2.99981	−	0.0336340i	−0.267244	−	0.00299636i
$127$	−9.83031	+	3.19406i	−0.872299	+	0.283427i	−0.710756	−	0.703439i	$-0.751647\pi$
$127$	−9.83031	+	3.19406i	−0.872299	+	0.283427i	−0.161543	+	0.986866i	$0.551647\pi$
$128$	0.809017	+	0.587785i	0.0715077	+	0.0519534i
$129$	6.79100	−	3.41237i	0.597914	−	0.300443i
$130$	−0.0586889	+	0.180626i	−0.00514736	+	0.0158419i
$131$	3.13040			0.273505			0.136752	−	0.990605i	$-0.456334\pi$
$131$	3.13040			0.273505			0.136752	+	0.990605i	$0.456334\pi$
$132$	−1.08357	−	5.64144i	−0.0943126	−	0.491025i
$133$	4.13820			0.358828
$134$	3.75437	−	11.5548i	0.324328	−	0.998179i
$135$	−6.51142	+	0.919343i	−0.560414	+	0.0791244i
$136$	0.993188	+	0.721593i	0.0851652	+	0.0618761i
$137$	−0.810649	+	0.263396i	−0.0692584	+	0.0225034i	−0.343441	−	0.939174i	$-0.611593\pi$
$137$	−0.810649	+	0.263396i	−0.0692584	+	0.0225034i	0.274183	+	0.961678i	$0.411593\pi$
$138$	2.08807	+	13.6794i	0.177748	+	1.16447i
$139$	−4.49572	+	6.18783i	−0.381322	+	0.524845i	−0.955934	−	0.293581i	$-0.905153\pi$
$139$	−4.49572	+	6.18783i	−0.381322	+	0.524845i	0.574612	+	0.818426i	$0.305153\pi$
$140$	1.02385	−	0.743872i	0.0865313	−	0.0628687i
$141$	2.22184	−	4.30083i	0.187112	−	0.362195i
$142$			6.28230i			0.527199i
$143$	0.497361	−	0.0190524i	0.0415914	−	0.00159324i
$144$	−2.84260	−	0.958981i	−0.236883	−	0.0799150i
$145$	6.37491	+	2.07133i	0.529408	+	0.172015i
$146$	6.32399	+	8.70422i	0.523377	+	0.720366i
$147$	−1.23159	+	1.21786i	−0.101580	+	0.100447i
$148$	2.30915	+	7.10684i	0.189811	+	0.584179i
$149$	0.275104	+	0.846682i	0.0225374	+	0.0693629i	0.961693	−	0.274130i	$-0.0883899\pi$
$149$	0.275104	+	0.846682i	0.0225374	+	0.0693629i	−0.939155	+	0.343493i	$0.888390\pi$
$150$	−4.18541	+	4.13875i	−0.341738	+	0.337928i
$151$	8.56766	+	11.7924i	0.697227	+	0.959650i	0.999978	+	0.00658065i	$0.00209470\pi$
$151$	8.56766	+	11.7924i	0.697227	+	0.959650i	−0.302752	+	0.953069i	$0.597905\pi$
$152$	3.93566	+	1.27878i	0.319225	+	0.103722i
$153$	−3.48971	−	1.17729i	−0.282126	−	0.0951783i
$154$	−2.75586	−	1.84532i	−0.222074	−	0.148700i
$155$		−	5.67999i		−	0.456228i
$156$	0.119302	−	0.230933i	0.00955178	−	0.0184895i
$157$	17.4409	−	12.6716i	1.39194	−	1.01130i	0.396290	−	0.918126i	$-0.370298\pi$
$157$	17.4409	−	12.6716i	1.39194	−	1.01130i	0.995650	−	0.0931775i	$-0.0297024\pi$
$158$	6.39963	−	8.80833i	0.509127	−	0.700753i
$159$	−1.51804	−	9.94503i	−0.120388	−	0.788692i
$160$	1.20361	−	0.391077i	0.0951538	−	0.0309173i
$161$	6.46348	+	4.69599i	0.509394	+	0.370096i
$162$	8.99774	+	0.201791i	0.706929	+	0.0158542i
$163$	−2.92839	+	9.01266i	−0.229369	+	0.705926i	0.768449	+	0.639911i	$0.221029\pi$
$163$	−2.92839	+	9.01266i	−0.229369	+	0.705926i	−0.997819	+	0.0660154i	$0.978971\pi$
$164$	9.75522			0.761755
$165$	−6.58204	−	3.08710i	−0.512411	−	0.240330i
$166$	−9.75840			−0.757399
$167$	−3.49984	+	10.7714i	−0.270826	+	0.833517i	0.719468	+	0.694526i	$0.244386\pi$
$167$	−3.49984	+	10.7714i	−0.270826	+	0.833517i	−0.990294	+	0.138991i	$0.955614\pi$
$168$	−1.54765	+	0.777671i	−0.119404	+	0.0599986i
$169$	−10.4990	−	7.62797i	−0.807615	−	0.586767i
$170$	1.47761	−	0.480105i	0.113328	−	0.0368224i
$171$	−12.4138	−	0.139184i	−0.949309	−	0.0106437i
$172$	2.57916	−	3.54991i	0.196659	−	0.270678i
$173$	−13.8568	+	10.0675i	−1.05351	+	0.765420i	−0.972877	−	0.231324i	$-0.925694\pi$
$173$	−13.8568	+	10.0675i	−1.05351	+	0.765420i	−0.0806333	+	0.996744i	$0.525694\pi$
$174$	−8.15043	−	4.21057i	−0.617883	−	0.319202i
$175$			3.39838i			0.256893i
$176$	−2.05074	−	2.60662i	−0.154581	−	0.196481i
$177$	−25.1350	−	4.12556i	−1.88926	−	0.310096i
$178$	−1.01775	−	0.330687i	−0.0762837	−	0.0247861i
$179$	0.221144	+	0.304378i	0.0165291	+	0.0227503i	0.817202	−	0.576352i	$-0.195524\pi$
$179$	0.221144	+	0.304378i	0.0165291	+	0.0227503i	−0.800672	+	0.599102i	$0.795524\pi$
$180$	−3.09638	+	2.19704i	−0.230791	+	0.163758i
$181$	−5.34329	−	16.4450i	−0.397163	−	1.22234i	−0.927264	−	0.374409i	$-0.877846\pi$
$181$	−5.34329	−	16.4450i	−0.397163	−	1.22234i	0.530100	−	0.847935i	$-0.322154\pi$
$182$	−0.0463742	−	0.142725i	−0.00343749	−	0.0105795i
$183$	3.08592	+	3.12071i	0.228117	+	0.230689i
$184$	4.69599	+	6.46348i	0.346193	+	0.476494i
$185$	8.99407	+	2.92235i	0.661257	+	0.214856i
$186$	−1.25910	+	7.67107i	−0.0923216	+	0.562470i
$187$	−2.51759	−	3.20001i	−0.184105	−	0.234008i
$188$		−	2.79486i		−	0.203836i
$189$	3.73550	−	3.61193i	0.271718	−	0.262729i
$190$	4.23691	−	3.07830i	0.307378	−	0.223323i
$191$	−6.77637	+	9.32688i	−0.490321	+	0.674869i	−0.980447	−	0.196782i	$-0.936951\pi$
$191$	−6.77637	+	9.32688i	−0.490321	+	0.674869i	0.490126	+	0.871652i	$0.336951\pi$
$192$	−1.71222	+	0.261358i	−0.123569	+	0.0188619i
$193$	−10.3428	+	3.36058i	−0.744492	+	0.241900i	−0.656609	−	0.754231i	$-0.728010\pi$
$193$	−10.3428	+	3.36058i	−0.744492	+	0.241900i	−0.0878823	+	0.996131i	$0.528010\pi$
$194$	−8.01771	−	5.82521i	−0.575638	−	0.418226i
$195$	−0.147696	−	0.293932i	−0.0105768	−	0.0210489i
$196$	−0.309017	+	0.951057i	−0.0220726	+	0.0679326i
$197$	−9.73907			−0.693880			−0.346940	−	0.937887i	$-0.612779\pi$
$197$	−9.73907			−0.693880			−0.346940	+	0.937887i	$0.612779\pi$
$198$	8.20500	+	5.62832i	0.583104	+	0.399987i
$199$	19.1382			1.35667			0.678337	−	0.734751i	$-0.262701\pi$
$199$	19.1382			1.35667			0.678337	+	0.734751i	$0.262701\pi$
$200$	−1.05016	+	3.23205i	−0.0742573	+	0.228541i
$201$	9.44823	+	18.8030i	0.666427	+	1.32626i
$202$	1.23464	+	0.897019i	0.0868690	+	0.0631141i
$203$	−5.03726	+	1.63671i	−0.353546	+	0.114874i
$204$	−2.10200	+	0.320856i	−0.147170	+	0.0224644i
$205$	7.25664	−	9.98791i	0.506826	−	0.697586i
$206$	−3.25945	+	2.36813i	−0.227097	+	0.164996i
$207$	−19.2313	−	14.3045i	−1.33667	−	0.994230i
$208$		−	0.150070i		−	0.0104055i
$209$	−11.4043	−	7.63633i	−0.788853	−	0.528216i
$210$	−0.355035	+	2.16306i	−0.0244998	+	0.149265i
$211$	−0.412712	−	0.134098i	−0.0284122	−	0.00923169i	0.294776	−	0.955566i	$-0.404755\pi$
$211$	−0.412712	−	0.134098i	−0.0284122	−	0.00923169i	−0.323189	+	0.946335i	$0.604755\pi$
$212$	−3.41402	−	4.69899i	−0.234476	−	0.322728i
$213$	−7.65096	−	7.73722i	−0.524235	−	0.530146i
$214$	1.02291	+	3.14819i	0.0699246	+	0.215206i
$215$	−1.71602	−	5.28137i	−0.117032	−	0.360186i
$216$	4.66882	−	2.28081i	0.317673	−	0.155190i
$217$	2.63807	+	3.63099i	0.179084	+	0.246488i
$218$	−1.86356	−	0.605508i	−0.126216	−	0.0410102i
$219$	−18.3891	−	3.01831i	−1.24262	−	0.203959i
$220$	−4.19428	+	0.160670i	−0.282778	+	0.0108324i
$221$		−	0.184233i		−	0.0123929i
$222$	−11.4991	−	5.94050i	−0.771767	−	0.398700i
$223$	−14.7261	+	10.6992i	−0.986136	+	0.716470i	−0.959071	−	0.283164i	$-0.908616\pi$
$223$	−14.7261	+	10.6992i	−0.986136	+	0.716470i	−0.0270643	+	0.999634i	$0.508616\pi$
$224$	−0.587785	+	0.809017i	−0.0392731	+	0.0540547i
$225$	0.114301	−	10.1945i	0.00762008	−	0.679633i
$226$	17.4531	−	5.67084i	1.16096	−	0.377219i
$227$	−15.9273	−	11.5718i	−1.05713	−	0.768049i	−0.0835737	−	0.996502i	$-0.526633\pi$
$227$	−15.9273	−	11.5718i	−1.05713	−	0.768049i	−0.973555	+	0.228453i	$0.926633\pi$
$228$	−6.40450	+	3.21816i	−0.424148	+	0.213128i
$229$	3.02746	−	9.31756i	0.200060	−	0.615722i	−0.799820	−	0.600240i	$-0.795072\pi$
$229$	3.02746	−	9.31756i	0.200060	−	0.615722i	0.999880	−	0.0154820i	$-0.00492827\pi$
$230$	10.1109			0.666691
$231$	5.64144	−	1.08357i	0.371180	−	0.0712936i
$232$	−5.29649			−0.347732
$233$	−9.31781	+	28.6773i	−0.610430	+	1.87871i	−0.156485	+	0.987680i	$0.550016\pi$
$233$	−9.31781	+	28.6773i	−0.610430	+	1.87871i	−0.453945	+	0.891030i	$0.649984\pi$
$234$	0.134313	+	0.429708i	0.00878035	+	0.0280909i
$235$	−2.86152	−	2.07902i	−0.186665	−	0.135620i
$236$	−13.9861	+	4.54436i	−0.910419	+	0.295813i
$237$	2.84559	+	18.6421i	0.184841	+	1.21094i
$238$	−0.721593	+	0.993188i	−0.0467739	+	0.0643788i
$239$	2.40266	−	1.74564i	0.155415	−	0.112916i	−0.507360	−	0.861734i	$-0.669379\pi$
$239$	2.40266	−	1.74564i	0.155415	−	0.112916i	0.662775	+	0.748818i	$0.269379\pi$
$240$	−1.00608	+	1.94748i	−0.0649422	+	0.125709i
$241$			4.21213i			0.271327i	0.990755	+	0.135664i	$0.0433166\pi$
$241$			4.21213i			0.271327i	−0.990755	+	0.135664i	$0.956683\pi$
$242$	4.18956	+	10.1709i	0.269315	+	0.653812i
$243$	−11.3273	+	10.7095i	−0.726646	+	0.687012i
$244$	2.40987	+	0.783013i	0.154276	+	0.0501273i
$245$	0.743872	+	1.02385i	0.0475243	+	0.0654115i
$246$	−12.0144	+	11.8805i	−0.766013	+	0.757473i
$247$	−0.191906	−	0.590626i	−0.0122107	−	0.0375806i
$248$	1.38692	+	4.26849i	0.0880693	+	0.271049i
$249$	12.0184	−	11.8844i	0.761633	−	0.753141i
$250$	6.24732	+	8.59870i	0.395115	+	0.543830i
$251$	−9.73610	−	3.16345i	−0.614537	−	0.199675i	−0.0148239	−	0.999890i	$-0.504719\pi$
$251$	−9.73610	−	3.16345i	−0.614537	−	0.199675i	−0.599713	+	0.800215i	$0.704719\pi$
$252$	0.958981	−	2.84260i	0.0604101	−	0.179067i
$253$	−9.14683	−	24.8687i	−0.575056	−	1.56348i
$254$		−	10.3362i		−	0.648551i
$255$	−1.23511	+	2.39082i	−0.0773457	+	0.149719i
$256$	−0.809017	+	0.587785i	−0.0505636	+	0.0367366i
$257$	−16.0700	+	22.1184i	−1.00242	+	1.37971i	−0.0785877	+	0.996907i	$0.525041\pi$
$257$	−16.0700	+	22.1184i	−1.00242	+	1.37971i	−0.923830	+	0.382803i	$0.874959\pi$
$258$	1.14682	+	7.51310i	0.0713981	+	0.467745i
$259$	−7.10684	+	2.30915i	−0.441598	+	0.143484i
$260$	−0.153650	−	0.111633i	−0.00952895	−	0.00692319i
$261$	15.1659	−	4.74038i	0.938744	−	0.293422i
$262$	−0.967348	+	2.97719i	−0.0597630	+	0.183932i
$263$	19.8950			1.22678			0.613391	−	0.789780i	$-0.289805\pi$
$263$	19.8950			1.22678			0.613391	+	0.789780i	$0.289805\pi$
$264$	5.70017	+	0.712766i	0.350821	+	0.0438677i
$265$	−7.35067			−0.451548
$266$	−1.27878	+	3.93566i	−0.0784067	+	0.241311i
$267$	1.65618	−	0.832207i	0.101357	−	0.0509302i
$268$	9.82907	+	7.14124i	0.600406	+	0.436220i
$269$	−0.602463	+	0.195752i	−0.0367328	+	0.0119352i	−0.327326	−	0.944912i	$-0.606147\pi$
$269$	−0.602463	+	0.195752i	−0.0367328	+	0.0119352i	0.290593	+	0.956847i	$0.406147\pi$
$270$	1.13779	−	6.47682i	0.0692438	−	0.394167i
$271$	15.4216	−	21.2260i	0.936796	−	1.28939i	−0.0203534	−	0.999793i	$-0.506479\pi$
$271$	15.4216	−	21.2260i	0.936796	−	1.28939i	0.957149	−	0.289596i	$-0.0935209\pi$
$272$	−0.993188	+	0.721593i	−0.0602209	+	0.0437530i
$273$	0.230933	+	0.119302i	0.0139767	+	0.00722047i
$274$		−	0.852366i		−	0.0514933i
$275$	6.27111	−	9.36547i	0.378162	−	0.564759i
$276$	−13.6552	−	2.24130i	−0.821944	−	0.134911i
$277$	26.8393	+	8.72062i	1.61262	+	0.523971i	0.970184	−	0.242371i	$-0.0779250\pi$
$277$	26.8393	+	8.72062i	1.61262	+	0.523971i	0.642433	+	0.766342i	$0.277925\pi$
$278$	−4.49572	−	6.18783i	−0.269635	−	0.371121i
$279$	−7.79159	−	10.9810i	−0.466470	−	0.657417i
$280$	0.391077	+	1.20361i	0.0233713	+	0.0719295i
$281$	−1.44118	−	4.43549i	−0.0859735	−	0.264599i	0.898823	−	0.438312i	$-0.144424\pi$
$281$	−1.44118	−	4.43549i	−0.0859735	−	0.264599i	−0.984796	+	0.173713i	$0.944424\pi$
$282$	3.40374	+	3.44212i	0.202690	+	0.204975i
$283$	14.3709	+	19.7799i	0.854263	+	1.17579i	0.982907	+	0.184101i	$0.0589375\pi$
$283$	14.3709	+	19.7799i	0.854263	+	1.17579i	−0.128644	+	0.991691i	$0.541063\pi$
$284$	−5.97482	−	1.94134i	−0.354540	−	0.115197i
$285$	−1.46921	+	8.95116i	−0.0870284	+	0.530221i
$286$	−0.135573	+	0.478906i	−0.00801661	+	0.0283183i
$287$			9.75522i			0.575833i
$288$	1.79046	−	2.40713i	0.105504	−	0.141841i
$289$	12.5340	−	9.10649i	0.737294	−	0.535676i
$290$	−3.93991	+	5.42282i	−0.231360	+	0.318439i
$291$	16.9688	−	2.59018i	0.994731	−	0.151839i
$292$	−10.2324	+	3.32472i	−0.598807	+	0.194564i
$293$	−5.76112	−	4.18570i	−0.336568	−	0.244531i	0.406644	−	0.913587i	$-0.366699\pi$
$293$	−5.76112	−	4.18570i	−0.336568	−	0.244531i	−0.743212	+	0.669056i	$0.766699\pi$
$294$	−0.777671	−	1.54765i	−0.0453547	−	0.0902609i
$295$	−5.75113	+	17.7001i	−0.334844	+	1.03054i
$296$	−7.47257			−0.434335
$297$	−16.9597	+	3.06076i	−0.984102	+	0.177603i
$298$	−0.890254			−0.0515711
$299$	0.370497	−	1.14027i	0.0214264	−	0.0659437i
$300$	−2.64282	−	5.25951i	−0.152583	−	0.303658i
$301$	3.54991	+	2.57916i	0.204614	+	0.148661i
$302$	−13.8628	+	4.50429i	−0.797713	+	0.259193i
$303$	−2.61302	+	0.398859i	−0.150114	+	0.0229138i
$304$	−2.43237	+	3.34788i	−0.139506	+	0.192014i
$305$	2.59432	−	1.88489i	0.148551	−	0.107928i
$306$	2.19805	−	2.95511i	0.125654	−	0.168932i
$307$		−	25.5876i		−	1.46036i	−0.683253	−	0.730181i	$-0.739436\pi$
$307$		−	25.5876i		−	1.46036i	0.683253	−	0.730181i	$-0.260564\pi$
$308$	2.60662	−	2.05074i	0.148526	−	0.116852i
$309$	1.13026	−	6.88613i	0.0642984	−	0.391738i
$310$	5.40199	+	1.75521i	0.306813	+	0.0996894i
$311$	−3.00067	−	4.13007i	−0.170152	−	0.234195i	0.715422	−	0.698693i	$-0.246235\pi$
$311$	−3.00067	−	4.13007i	−0.170152	−	0.234195i	−0.885574	+	0.464498i	$0.846235\pi$
$312$	0.182764	+	0.184825i	0.0103470	+	0.0104637i
$313$	4.99132	+	15.3617i	0.282126	+	0.868294i	0.987245	+	0.159206i	$0.0508933\pi$
$313$	4.99132	+	15.3617i	0.282126	+	0.868294i	−0.705120	+	0.709088i	$0.749107\pi$
$314$	6.66185	+	20.5031i	0.375950	+	1.15705i
$315$	−2.19704	−	3.09638i	−0.123789	−	0.174461i
$316$	6.39963	+	8.80833i	0.360007	+	0.495507i
$317$	16.0129	+	5.20290i	0.899372	+	0.292224i	0.721978	−	0.691916i	$-0.243233\pi$
$317$	16.0129	+	5.20290i	0.899372	+	0.292224i	0.177394	+	0.984140i	$0.443233\pi$
$318$	9.92739	+	1.62944i	0.556700	+	0.0913745i
$319$	16.9022	+	4.78485i	0.946344	+	0.267900i
$320$			1.26555i			0.0707465i
$321$	−5.09386	−	2.63152i	−0.284311	−	0.146877i
$322$	−6.46348	+	4.69599i	−0.360196	+	0.261697i
$323$	−2.98610	+	4.11001i	−0.166151	+	0.228687i
$324$	−2.97237	+	8.49500i	−0.165132	+	0.471944i
$325$	0.485034	−	0.157597i	0.0269049	−	0.00874192i
$326$	−7.66663	−	5.57013i	−0.424615	−	0.308501i
$327$	3.03257	−	1.52382i	0.167702	−	0.0842674i
$328$	−3.01453	+	9.27777i	−0.166450	+	0.512279i
$329$	2.79486			0.154085
$330$	4.96997	−	5.30593i	0.273588	−	0.292082i
$331$	−5.03168			−0.276566			−0.138283	−	0.990393i	$-0.544158\pi$
$331$	−5.03168			−0.276566			−0.138283	+	0.990393i	$0.544158\pi$
$332$	3.01551	−	9.28079i	0.165498	−	0.509349i
$333$	21.3968	−	6.68799i	1.17254	−	0.366500i
$334$	−9.16271	−	6.65710i	−0.501361	−	0.364260i
$335$	14.6231	−	4.75135i	0.798948	−	0.259594i
$336$	−0.261358	−	1.71222i	−0.0142583	−	0.0934092i
$337$	−13.2501	+	18.2372i	−0.721779	+	0.993444i	0.277684	+	0.960673i	$0.410433\pi$
$337$	−13.2501	+	18.2372i	−0.721779	+	0.993444i	−0.999463	+	0.0327711i	$0.989567\pi$
$338$	10.4990	−	7.62797i	0.571070	−	0.414907i
$339$	−14.5887	+	28.2395i	−0.792352	+	1.53376i
$340$			1.55365i			0.0842586i
$341$	−0.569800	−	14.8746i	−0.0308564	−	0.805506i
$342$	3.96846	−	11.7632i	0.214590	−	0.636083i
$343$	−0.951057	−	0.309017i	−0.0513522	−	0.0166853i
$344$	2.57916	+	3.54991i	0.139059	+	0.191399i
$345$	−12.4525	+	12.3136i	−0.670418	+	0.662943i
$346$	−5.29281	−	16.2896i	−0.284543	−	0.875734i
$347$	−6.29845	−	19.3846i	−0.338119	−	1.04062i	−0.965165	−	0.261641i	$-0.915736\pi$
$347$	−6.29845	−	19.3846i	−0.338119	−	1.04062i	0.627047	−	0.778982i	$-0.284264\pi$
$348$	6.52311	−	6.45038i	0.349675	−	0.345777i
$349$	12.7756	+	17.5842i	0.683864	+	0.941259i	0.999972	−	0.00746472i	$-0.00237612\pi$
$349$	12.7756	+	17.5842i	0.683864	+	0.941259i	−0.316108	+	0.948723i	$0.602376\pi$
$350$	−3.23205	−	1.05016i	−0.172760	−	0.0561333i
$351$	−0.688744	−	0.365650i	−0.0367624	−	0.0195169i
$352$	3.11275	−	1.14489i	0.165910	−	0.0610226i
$353$			12.1839i			0.648486i	0.945974	+	0.324243i	$0.105110\pi$
$353$			12.1839i			0.648486i	−0.945974	+	0.324243i	$0.894890\pi$
$354$	11.6908	−	22.6299i	0.621358	−	1.20277i
$355$	−6.43215	+	4.67323i	−0.341383	+	0.248029i
$356$	0.629005	−	0.865751i	0.0333372	−	0.0458847i
$357$	−0.320856	−	2.10200i	−0.0169815	−	0.111250i
$358$	−0.357818	+	0.116262i	−0.0189113	+	0.00614465i
$359$	21.3205	+	15.4903i	1.12526	+	0.817546i	0.984997	−	0.172569i	$-0.0552068\pi$
$359$	21.3205	+	15.4903i	1.12526	+	0.817546i	0.140258	+	0.990115i	$0.455207\pi$
$360$	−1.13267	−	3.62376i	−0.0596972	−	0.190989i
$361$	0.579492	−	1.78349i	0.0304996	−	0.0938681i
$362$	17.2912			0.908808
$363$	−17.5466	−	7.42412i	−0.920956	−	0.389665i
$364$	0.150070			0.00786581
$365$	−4.20760	+	12.9497i	−0.220236	+	0.677816i
$366$	−3.92157	+	1.97053i	−0.204984	+	0.103001i
$367$	14.4897	+	10.5274i	0.756357	+	0.549525i	0.897791	−	0.440422i	$-0.145171\pi$
$367$	14.4897	+	10.5274i	0.756357	+	0.549525i	−0.141434	+	0.989948i	$0.545171\pi$
$368$	−7.59828	+	2.46883i	−0.396088	+	0.128697i
$369$	0.328107	−	29.2638i	0.0170806	−	1.52341i
$370$	−5.55864	+	7.65081i	−0.288980	+	0.397747i
$371$	4.69899	−	3.41402i	0.243959	−	0.177247i
$372$	−6.90654	−	3.56796i	−0.358087	−	0.184990i
$373$			11.2227i			0.581089i	0.956862	+	0.290544i	$0.0938364\pi$
$373$			11.2227i			0.581089i	−0.956862	+	0.290544i	$0.906164\pi$
$374$	3.82137	−	1.40552i	0.197598	−	0.0726775i
$375$	−18.1662	−	2.98172i	−0.938097	−	0.153975i
$376$	2.65807	+	0.863658i	0.137079	+	0.0445398i
$377$	0.467198	+	0.643043i	0.0240619	+	0.0331184i
$378$	2.28081	+	4.66882i	0.117312	+	0.240138i
$379$	5.42840	+	16.7069i	0.278838	+	0.858176i	0.988178	+	0.153310i	$0.0489932\pi$
$379$	5.42840	+	16.7069i	0.278838	+	0.858176i	−0.709340	+	0.704867i	$0.751007\pi$
$380$	1.61836	+	4.98079i	0.0830199	+	0.255509i
$381$	12.5880	+	12.7300i	0.644905	+	0.652176i
$382$	−6.77637	−	9.32688i	−0.346709	−	0.477205i
$383$	23.9018	+	7.76617i	1.22133	+	0.396833i	0.847565	−	0.530692i	$-0.178068\pi$
$383$	23.9018	+	7.76617i	1.22133	+	0.396833i	0.373761	+	0.927525i	$0.378068\pi$
$384$	0.280538	−	1.70918i	0.0143162	−	0.0872213i
$385$	−0.160670	−	4.19428i	−0.00818850	−	0.213760i
$386$		−	10.8751i		−	0.553527i
$387$	−10.5623	−	7.85640i	−0.536913	−	0.399363i
$388$	8.01771	−	5.82521i	0.407038	−	0.295730i
$389$	6.53645	−	8.99665i	0.331411	−	0.456148i	−0.610497	−	0.792018i	$-0.709030\pi$
$389$	6.53645	−	8.99665i	0.331411	−	0.456148i	0.941908	+	0.335870i	$0.109030\pi$
$390$	0.325187	−	0.0496375i	0.0164665	−	0.00251349i
$391$	−9.32801	+	3.03085i	−0.471738	+	0.153277i
$392$	−0.809017	−	0.587785i	−0.0408615	−	0.0296876i
$393$	−2.43443	−	4.84478i	−0.122801	−	0.244387i
$394$	3.00954	−	9.26241i	0.151618	−	0.466633i
$395$	13.7789			0.693294
$396$	−7.88833	+	6.06418i	−0.396404	+	0.304736i
$397$	22.4138			1.12492			0.562459	−	0.826825i	$-0.309855\pi$
$397$	22.4138			1.12492			0.562459	+	0.826825i	$0.309855\pi$
$398$	−5.91404	+	18.2015i	−0.296444	+	0.912361i
$399$	−3.21816	−	6.40450i	−0.161110	−	0.320626i
$400$	−2.74935	−	1.99752i	−0.137467	−	0.0998759i
$401$	5.07008	−	1.64737i	0.253188	−	0.0822656i	−0.179673	−	0.983726i	$-0.557504\pi$
$401$	5.07008	−	1.64737i	0.253188	−	0.0822656i	0.432861	+	0.901461i	$0.357504\pi$
$402$	−20.8024	+	3.17534i	−1.03753	+	0.158372i
$403$	0.395896	−	0.544904i	0.0197210	−	0.0271436i
$404$	−1.23464	+	0.897019i	−0.0614257	+	0.0446284i
$405$	6.48656	+	9.36246i	0.322320	+	0.465225i
$406$		−	5.29649i		−	0.262860i
$407$	23.8466	+	6.75072i	1.18203	+	0.334621i
$408$	0.344402	−	2.09827i	0.0170504	−	0.103880i
$409$	−15.3374	−	4.98341i	−0.758384	−	0.246414i	−0.0957990	−	0.995401i	$-0.530541\pi$
$409$	−15.3374	−	4.98341i	−0.758384	−	0.246414i	−0.662585	+	0.748987i	$0.730541\pi$
$410$	7.25664	+	9.98791i	0.358380	+	0.493268i
$411$	1.03806	+	1.04977i	0.0512039	+	0.0517812i
$412$	−1.24500	−	3.83172i	−0.0613368	−	0.188775i
$413$	−4.54436	−	13.9861i	−0.223614	−	0.688212i
$414$	19.5472	−	13.8697i	0.960691	−	0.681659i
$415$	−7.25900	−	9.99116i	−0.356330	−	0.490447i
$416$	0.142725	+	0.0463742i	0.00699768	+	0.00227368i
$417$	13.0728	+	2.14572i	0.640177	+	0.105076i
$418$	10.7867	−	8.48640i	0.527595	−	0.415083i
$419$		−	18.7529i		−	0.916137i	−0.888917	−	0.458069i	$-0.848541\pi$
$419$		−	18.7529i		−	0.916137i	0.888917	−	0.458069i	$-0.151459\pi$
$420$	−1.94748	−	1.00608i	−0.0950271	−	0.0490917i
$421$	6.14224	−	4.46260i	0.299355	−	0.217494i	−0.427961	−	0.903797i	$-0.640768\pi$
$421$	6.14224	−	4.46260i	0.299355	−	0.217494i	0.727315	+	0.686304i	$0.240768\pi$
$422$	0.255070	−	0.351073i	0.0124166	−	0.0170900i
$423$	−8.38404	−	0.0940023i	−0.407646	−	0.00457055i
$424$	5.52399	−	1.79485i	0.268269	−	0.0871659i
$425$	−3.37523	−	2.45225i	−0.163723	−	0.118952i
$426$	9.72281	−	4.88556i	0.471072	−	0.236706i
$427$	−0.783013	+	2.40987i	−0.0378927	+	0.116622i
$428$	−3.31020			−0.160005
$429$	−0.416270	−	0.754926i	−0.0200977	−	0.0364482i
$430$	5.55316			0.267797
$431$	−7.03075	+	21.6384i	−0.338659	+	1.04229i	0.626232	+	0.779637i	$0.284596\pi$
$431$	−7.03075	+	21.6384i	−0.338659	+	1.04229i	−0.964891	+	0.262649i	$0.915404\pi$
$432$	0.726437	+	5.14512i	0.0349507	+	0.247545i
$433$	8.15913	+	5.92796i	0.392103	+	0.284879i	0.766317	−	0.642463i	$-0.222087\pi$
$433$	8.15913	+	5.92796i	0.392103	+	0.284879i	−0.374214	+	0.927342i	$0.622087\pi$
$434$	−4.26849	+	1.38692i	−0.204894	+	0.0665741i
$435$	−1.75188	−	11.4770i	−0.0839962	−	0.550278i
$436$	1.15175	−	1.58524i	0.0551586	−	0.0759193i
$437$	−26.7472	+	19.4330i	−1.27949	+	0.929605i
$438$	8.55312	−	16.5563i	0.408684	−	0.791093i
$439$		−	2.63248i		−	0.125641i	−0.998025	−	0.0628206i	$-0.979990\pi$
$439$		−	2.63248i		−	0.125641i	0.998025	−	0.0628206i	$-0.0200096\pi$
$440$	1.14330	−	4.03865i	0.0545046	−	0.192535i
$441$	2.84260	+	0.958981i	0.135362	+	0.0456657i
$442$	0.175216	+	0.0569312i	0.00833419	+	0.00270794i
$443$	−11.9073	−	16.3890i	−0.565733	−	0.778665i	0.426308	−	0.904578i	$-0.359814\pi$
$443$	−11.9073	−	16.3890i	−0.565733	−	0.778665i	−0.992041	+	0.125913i	$0.959814\pi$
$444$	9.20316	−	9.10055i	0.436762	−	0.431893i
$445$	−0.418502	−	1.28802i	−0.0198389	−	0.0610578i
$446$	−5.62489	−	17.3116i	−0.266346	−	0.819729i
$447$	1.09643	−	1.08421i	0.0518593	−	0.0512812i
$448$	−0.587785	−	0.809017i	−0.0277702	−	0.0382225i
$449$	24.5056	+	7.96236i	1.15649	+	0.375767i	0.823585	−	0.567193i	$-0.191970\pi$
$449$	24.5056	+	7.96236i	1.15649	+	0.375767i	0.332907	+	0.942960i	$0.391970\pi$
$450$	9.66022	+	3.25898i	0.455387	+	0.153630i
$451$	18.0015	−	26.8840i	0.847660	−	1.26592i
$452$			18.3512i			0.863169i
$453$	11.5877	−	22.4304i	0.544437	−	1.05387i
$454$	15.9273	−	11.5718i	0.747503	−	0.543093i
$455$	0.111633	−	0.153650i	0.00523344	−	0.00720321i
$456$	−1.08155	−	7.08551i	−0.0506484	−	0.331809i
$457$	−22.5834	+	7.33780i	−1.05641	+	0.343248i	−0.785180	−	0.619268i	$-0.787430\pi$
$457$	−22.5834	+	7.33780i	−1.05641	+	0.343248i	−0.271228	+	0.962515i	$0.587430\pi$
$458$	7.92599	+	5.75857i	0.370357	+	0.269080i
$459$	0.891809	+	6.31640i	0.0416261	+	0.294824i
$460$	−3.12443	+	9.61601i	−0.145677	+	0.448349i
$461$	−2.78562			−0.129739			−0.0648696	−	0.997894i	$-0.520663\pi$
$461$	−2.78562			−0.129739			−0.0648696	+	0.997894i	$0.520663\pi$
$462$	−0.712766	+	5.70017i	−0.0331609	+	0.265196i
$463$	−2.99874			−0.139363			−0.0696816	−	0.997569i	$-0.522198\pi$
$463$	−2.99874			−0.139363			−0.0696816	+	0.997569i	$0.522198\pi$
$464$	1.63671	−	5.03726i	0.0759821	−	0.233849i
$465$	−8.79065	+	4.41716i	−0.407657	+	0.204841i
$466$	−24.3943	−	17.7235i	−1.13005	−	0.821026i
$467$	5.15927	−	1.67635i	0.238743	−	0.0775722i	−0.187202	−	0.982321i	$-0.559942\pi$
$467$	5.15927	−	1.67635i	0.238743	−	0.0775722i	0.425945	+	0.904749i	$0.359942\pi$
$468$	−0.450182	−	0.00504746i	−0.0208097	−	0.000233319i
$469$	−7.14124	+	9.82907i	−0.329752	+	0.453864i
$470$	2.86152	−	2.07902i	0.131992	−	0.0958979i
$471$	−33.1745	−	17.1382i	−1.52860	−	0.789686i
$472$		−	14.7059i		−	0.676893i
$473$	−5.02368	−	13.6586i	−0.230989	−	0.628022i
$474$	−18.6090	−	3.05441i	−0.854742	−	0.140294i
$475$	−13.3749	−	4.34576i	−0.613682	−	0.199397i
$476$	−0.721593	−	0.993188i	−0.0330742	−	0.0455227i
$477$	−14.2109	+	10.0834i	−0.650673	+	0.461685i
$478$	0.917735	+	2.82450i	0.0419762	+	0.129190i
$479$	−8.33856	−	25.6634i	−0.380998	−	1.17259i	−0.939342	−	0.342983i	$-0.888563\pi$
$479$	−8.33856	−	25.6634i	−0.380998	−	1.17259i	0.558343	−	0.829610i	$-0.311437\pi$
$480$	−1.54126	−	1.55864i	−0.0703488	−	0.0711420i
$481$	0.659148	+	0.907240i	0.0300546	+	0.0413666i
$482$	−4.00597	−	1.30162i	−0.182467	−	0.0592872i
$483$	2.24130	−	13.6552i	0.101983	−	0.621331i
$484$	−10.9678	+	0.841517i	−0.498535	+	0.0382508i
$485$		−	12.5422i		−	0.569511i
$486$	−6.68498	−	14.0823i	−0.303237	−	0.638786i
$487$	14.1964	−	10.3143i	0.643299	−	0.467384i	−0.217683	−	0.976019i	$-0.569850\pi$
$487$	14.1964	−	10.3143i	0.643299	−	0.467384i	0.860982	+	0.508636i	$0.169850\pi$
$488$	−1.48938	+	2.04995i	−0.0674210	+	0.0927971i
$489$	16.2258	−	2.47675i	0.733756	−	0.112003i
$490$	−1.20361	+	0.391077i	−0.0543736	+	0.0176671i
$491$	27.3069	+	19.8396i	1.23234	+	0.895351i	0.997064	−	0.0765768i	$-0.0243990\pi$
$491$	27.3069	+	19.8396i	1.23234	+	0.895351i	0.235281	+	0.971927i	$0.424399\pi$
$492$	−7.58635	−	15.0977i	−0.342019	−	0.680656i
$493$	2.00930	−	6.18398i	0.0904942	−	0.278513i
$494$	0.621020			0.0279410
$495$	0.340909	+	12.5875i	0.0153227	+	0.565764i
$496$	−4.48815			−0.201524
$497$	1.94134	−	5.97482i	0.0870809	−	0.268007i
$498$	7.58882	+	15.1026i	0.340063	+	0.676764i
$499$	6.19831	+	4.50333i	0.277474	+	0.201597i	0.717815	−	0.696234i	$-0.245142\pi$
$499$	6.19831	+	4.50333i	0.277474	+	0.201597i	−0.440341	+	0.897831i	$0.645142\pi$
$500$	−10.1084	+	3.28441i	−0.452061	+	0.146883i
$501$	19.3921	−	2.96007i	0.866376	−	0.132246i
$502$	6.01724	−	8.28202i	0.268563	−	0.369645i
$503$	7.37887	−	5.36106i	0.329008	−	0.239038i	−0.411002	−	0.911635i	$-0.634821\pi$
$503$	7.37887	−	5.36106i	0.329008	−	0.239038i	0.740009	+	0.672596i	$0.234821\pi$
$504$	2.40713	+	1.79046i	0.107222	+	0.0797532i
$505$			1.93136i			0.0859443i
$506$	26.4781	−	1.01429i	1.17709	−	0.0450908i
$507$	−3.64068	+	22.1809i	−0.161688	+	0.985086i
$508$	9.83031	+	3.19406i	0.436150	+	0.141714i
$509$	−21.3108	−	29.3318i	−0.944584	−	1.30011i	−0.953891	−	0.300152i	$-0.902962\pi$
$509$	−21.3108	−	29.3318i	−0.944584	−	1.30011i	0.00930679	−	0.999957i	$-0.497038\pi$
$510$	−1.89213	−	1.91346i	−0.0837849	−	0.0847296i
$511$	−3.32472	−	10.2324i	−0.147077	−	0.452656i
$512$	−0.309017	−	0.951057i	−0.0136568	−	0.0420312i
$513$	9.43847	+	19.3205i	0.416718	+	0.853022i
$514$	−16.0700	−	22.1184i	−0.708816	−	0.975602i
$515$	−4.84924	−	1.57561i	−0.213683	−	0.0694298i
$516$	−7.49978	−	1.23098i	−0.330159	−	0.0541910i
$517$	−7.70224	−	5.15742i	−0.338744	−	0.226823i
$518$		−	7.47257i		−	0.328326i
$519$	26.3570	+	13.6162i	1.15695	+	0.597686i
$520$	0.153650	−	0.111633i	0.00673798	−	0.00489543i
$521$	8.17594	−	11.2532i	0.358194	−	0.493012i	−0.591450	−	0.806342i	$-0.701444\pi$
$521$	8.17594	−	11.2532i	0.358194	−	0.493012i	0.949645	+	0.313329i	$0.101444\pi$
$522$	−0.178142	+	15.8885i	−0.00779707	+	0.695419i
$523$	10.1304	−	3.29157i	0.442971	−	0.143930i	−0.0790347	−	0.996872i	$-0.525184\pi$
$523$	10.1304	−	3.29157i	0.442971	−	0.143930i	0.522006	+	0.852942i	$0.325184\pi$
$524$	−2.53255	−	1.84001i	−0.110635	−	0.0803810i
$525$	5.25951	−	2.64282i	0.229544	−	0.115342i
$526$	−6.14791	+	18.9213i	−0.268062	+	0.825009i
$527$	−5.50987			−0.240014
$528$	−2.43933	+	5.20093i	−0.106158	+	0.226341i
$529$	−40.8289			−1.77517
$530$	2.27148	−	6.99090i	0.0986668	−	0.303665i
$531$	13.1618	+	42.1086i	0.571175	+	1.82736i
$532$	−3.34788	−	2.43237i	−0.145149	−	0.105457i
$533$	1.39232	−	0.452391i	0.0603079	−	0.0195952i
$534$	0.279687	+	1.83229i	0.0121032	+	0.0792910i
$535$	−2.46237	+	3.38916i	−0.106457	+	0.146526i
$536$	−9.82907	+	7.14124i	−0.424551	+	0.308454i
$537$	0.299095	−	0.578960i	0.0129069	−	0.0249840i
$538$		−	0.633467i		−	0.0273107i
$539$	2.05074	+	2.60662i	0.0883318	+	0.112275i
$540$	5.80822	+	3.08355i	0.249946	+	0.132695i
$541$	9.36982	+	3.04444i	0.402840	+	0.130891i	0.503427	−	0.864038i	$-0.332072\pi$
$541$	9.36982	+	3.04444i	0.402840	+	0.130891i	−0.100587	+	0.994928i	$0.532072\pi$
$542$	15.4216	+	21.2260i	0.662415	+	0.911735i
$543$	−21.2957	+	21.0583i	−0.913888	+	0.903699i
$544$	−0.379364	−	1.16756i	−0.0162651	−	0.0500588i
$545$	−0.766302	−	2.35843i	−0.0328248	−	0.101024i
$546$	−0.184825	+	0.182764i	−0.00790978	+	0.00782159i
$547$	0.276221	+	0.380186i	0.0118104	+	0.0162556i	0.814881	−	0.579628i	$-0.196802\pi$
$547$	0.276221	+	0.380186i	0.0118104	+	0.0162556i	−0.803071	+	0.595883i	$0.796802\pi$
$548$	0.810649	+	0.263396i	0.0346292	+	0.0112517i
$549$	2.42994	−	7.20281i	0.103708	−	0.307408i
$550$	6.96921	+	8.85827i	0.297168	+	0.377718i
$551$		−	21.9179i		−	0.933736i
$552$	6.35128	−	12.2942i	0.270328	−	0.523277i
$553$	−8.80833	+	6.39963i	−0.374568	+	0.272140i
$554$	−16.5876	+	22.8309i	−0.704739	+	0.969991i
$555$	−2.47165	−	16.1923i	−0.104916	−	0.687326i
$556$	7.27423	−	2.36354i	0.308496	−	0.100236i
$557$	−7.59992	−	5.52167i	−0.322019	−	0.233961i	0.415017	−	0.909813i	$-0.363775\pi$
$557$	−7.59992	−	5.52167i	−0.322019	−	0.233961i	−0.737037	+	0.675853i	$0.763775\pi$
$558$	12.8513	−	4.01692i	0.544039	−	0.170050i
$559$	0.203487	−	0.626269i	0.00860659	−	0.0264883i
$560$	−1.26555			−0.0534793
$561$	−2.99464	+	6.38491i	−0.126434	+	0.269571i
$562$	4.66375			0.196728
$563$	−12.2573	+	37.7240i	−0.516583	+	1.58988i	0.263800	+	0.964577i	$0.415024\pi$
$563$	−12.2573	+	37.7240i	−0.516583	+	1.58988i	−0.780383	+	0.625302i	$0.784976\pi$
$564$	−4.32547	+	2.17348i	−0.182135	+	0.0915200i
$565$	18.7890	+	13.6510i	0.790457	+	0.574301i
$566$	−23.2527	+	7.55524i	−0.977382	+	0.317571i
$567$	−8.49500	−	2.97237i	−0.356756	−	0.124828i
$568$	3.69264	−	5.08249i	0.154940	−	0.213256i
$569$	14.1470	−	10.2784i	0.593073	−	0.430893i	−0.250340	−	0.968158i	$-0.580542\pi$
$569$	14.1470	−	10.2784i	0.593073	−	0.430893i	0.843414	+	0.537265i	$0.180542\pi$
$570$	−8.05905	−	4.16336i	−0.337557	−	0.174384i
$571$			42.0315i			1.75896i	0.475934	+	0.879481i	$0.342110\pi$
$571$			42.0315i			1.75896i	−0.475934	+	0.879481i	$0.657890\pi$
$572$	−0.413573	−	0.276928i	−0.0172923	−	0.0115789i
$573$	19.7046	+	3.23423i	0.823170	+	0.135112i
$574$	−9.27777	−	3.01453i	−0.387247	−	0.125824i
$575$	−15.9588	−	21.9654i	−0.665527	−	0.916019i
$576$	1.73603	+	2.44667i	0.0723348	+	0.101945i
$577$	2.37227	+	7.30108i	0.0987587	+	0.303948i	0.988215	−	0.153072i	$-0.0489167\pi$
$577$	2.37227	+	7.30108i	0.0987587	+	0.303948i	−0.889456	+	0.457020i	$0.848917\pi$
$578$	4.78756	+	14.7346i	0.199136	+	0.612879i
$579$	13.2443	+	13.3936i	0.550415	+	0.556621i
$580$	−3.93991	−	5.42282i	−0.163596	−	0.225171i
$581$	9.28079	+	3.01551i	0.385032	+	0.125104i
$582$	−2.78026	+	16.9387i	−0.115245	+	0.702133i
$583$	−19.2497	+	0.737398i	−0.797243	+	0.0305399i
$584$		−	10.7590i		−	0.445211i
$585$	−0.340046	+	0.457165i	−0.0140592	+	0.0189015i
$586$	5.76112	−	4.18570i	0.237990	−	0.172910i
$587$	23.2807	−	32.0431i	0.960898	−	1.32256i	0.0143847	−	0.999897i	$-0.495421\pi$
$587$	23.2807	−	32.0431i	0.960898	−	1.32256i	0.946513	−	0.322666i	$-0.104579\pi$
$588$	1.71222	−	0.261358i	0.0706107	−	0.0107782i
$589$	−17.6639	+	5.73934i	−0.727827	+	0.236485i
$590$	−15.0566	−	10.9393i	−0.619872	−	0.450364i
$591$	7.57379	+	15.0727i	0.311544	+	0.620008i
$592$	2.30915	−	7.10684i	0.0949056	−	0.292089i
$593$	−0.505509			−0.0207588			−0.0103794	−	0.999946i	$-0.503304\pi$
$593$	−0.505509			−0.0207588			−0.0103794	+	0.999946i	$0.503304\pi$
$594$	2.32988	−	17.0755i	0.0955963	−	0.700615i
$595$	−1.55365			−0.0636935
$596$	0.275104	−	0.846682i	0.0112687	−	0.0346815i
$597$	−14.8833	−	29.6193i	−0.609131	−	1.21224i
$598$	0.969975	+	0.704728i	0.0396652	+	0.0288185i
$599$	−7.13291	+	2.31762i	−0.291443	+	0.0946956i	−0.451090	−	0.892479i	$-0.648965\pi$
$599$	−7.13291	+	2.31762i	−0.291443	+	0.0946956i	0.159647	+	0.987174i	$0.448965\pi$
$600$	5.81877	−	0.888195i	0.237550	−	0.0362604i
$601$	−25.9777	+	35.7552i	−1.05965	+	1.45849i	−0.179521	+	0.983754i	$0.557455\pi$
$601$	−25.9777	+	35.7552i	−1.05965	+	1.45849i	−0.880131	+	0.474732i	$0.842545\pi$
$602$	−3.54991	+	2.57916i	−0.144684	+	0.105119i
$603$	21.7530	−	29.2452i	0.885849	−	1.19095i
$604$		−	14.5762i		−	0.593096i
$605$	−7.29703	+	11.8554i	−0.296666	+	0.481989i
$606$	0.428129	−	2.60838i	0.0173916	−	0.105958i
$607$	−11.3469	−	3.68682i	−0.460555	−	0.149643i	0.0695446	−	0.997579i	$-0.477845\pi$
$607$	−11.3469	−	3.68682i	−0.460555	−	0.149643i	−0.530099	+	0.847936i	$0.677845\pi$
$608$	−2.43237	−	3.34788i	−0.0986458	−	0.135774i
$609$	6.45038	+	6.52311i	0.261383	+	0.264330i
$610$	0.990943	+	3.04981i	0.0401221	+	0.123483i
$611$	−0.129609	−	0.398896i	−0.00524343	−	0.0161376i
$612$	2.13124	+	3.00365i	0.0861502	+	0.121415i
$613$	−23.1639	−	31.8824i	−0.935581	−	1.28772i	−0.957642	−	0.287961i	$-0.907023\pi$
$613$	−23.1639	−	31.8824i	−0.935581	−	1.28772i	0.0220609	−	0.999757i	$-0.492977\pi$
$614$	24.3353	+	7.90701i	0.982092	+	0.319101i
$615$	−21.1011	−	3.46345i	−0.850878	−	0.139660i
$616$	1.14489	+	3.11275i	0.0461287	+	0.125416i
$617$			14.7927i			0.595530i	0.954639	+	0.297765i	$0.0962412\pi$
$617$			14.7927i			0.595530i	−0.954639	+	0.297765i	$0.903759\pi$
$618$	6.19983	+	3.20287i	0.249394	+	0.128838i
$619$	11.0014	−	7.99297i	0.442183	−	0.321264i	−0.344319	−	0.938853i	$-0.611890\pi$
$619$	11.0014	−	7.99297i	0.442183	−	0.321264i	0.786502	+	0.617588i	$0.211890\pi$
$620$	−3.33861	+	4.59521i	−0.134082	+	0.184548i
$621$	−7.18276	+	40.8875i	−0.288234	+	1.64076i
$622$	4.85519	−	1.57755i	0.194675	−	0.0632538i
$623$	0.865751	+	0.629005i	0.0346856	+	0.0252005i
$624$	−0.232256	+	0.116705i	−0.00929769	+	0.00467195i
$625$	1.09419	−	3.36758i	0.0437677	−	0.134703i
$626$	−16.1522			−0.645573
$627$	−2.94957	+	23.5885i	−0.117795	+	0.942033i
$628$	−21.5582			−0.860266
$629$	2.83483	−	8.72470i	0.113032	−	0.347876i
$630$	3.62376	−	1.13267i	0.144374	−	0.0451268i
$631$	38.2813	+	27.8130i	1.52395	+	1.10722i	0.959483	+	0.281766i	$0.0909201\pi$
$631$	38.2813	+	27.8130i	1.52395	+	1.10722i	0.564472	+	0.825452i	$0.309080\pi$
$632$	−10.3548	+	3.36448i	−0.411892	+	0.133832i
$633$	0.113417	+	0.743018i	0.00450790	+	0.0295323i
$634$	−9.89650	+	13.6214i	−0.393040	+	0.540973i
$635$	10.5827	−	7.68882i	0.419963	−	0.305121i
$636$	−4.61742	+	8.93798i	−0.183093	+	0.354414i
$637$			0.150070i			0.00594599i
$638$	−9.77374	+	14.5964i	−0.386946	+	0.577877i
$639$	−6.02460	+	17.8580i	−0.238330	+	0.706453i
$640$	−1.20361	−	0.391077i	−0.0475769	−	0.0154587i
$641$	−10.4106	−	14.3290i	−0.411195	−	0.565961i	0.552314	−	0.833636i	$-0.313745\pi$
$641$	−10.4106	−	14.3290i	−0.411195	−	0.565961i	−0.963509	+	0.267674i	$0.913745\pi$
$642$	4.07681	−	4.03136i	0.160899	−	0.159105i
$643$	−10.2501	−	31.5465i	−0.404223	−	1.24407i	−0.921542	−	0.388279i	$-0.873070\pi$
$643$	−10.2501	−	31.5465i	−0.404223	−	1.24407i	0.517319	−	0.855793i	$-0.326930\pi$
$644$	−2.46883	−	7.59828i	−0.0972855	−	0.299414i
$645$	−6.83922	+	6.76297i	−0.269294	+	0.266292i
$646$	−2.98610	−	4.11001i	−0.117487	−	0.161706i
$647$	35.8161	+	11.6374i	1.40808	+	0.457512i	0.911793	−	0.410650i	$-0.134698\pi$
$647$	35.8161	+	11.6374i	1.40808	+	0.457512i	0.496282	+	0.868161i	$0.334698\pi$
$648$	−7.16071	−	5.45199i	−0.281299	−	0.214174i
$649$	−13.2853	+	46.9296i	−0.521493	+	1.84215i
$650$			0.509995i			0.0200037i
$651$	3.56796	−	6.90654i	0.139840	−	0.270688i
$652$	7.66663	−	5.57013i	0.300248	−	0.218143i
$653$	−23.9367	+	32.9460i	−0.936715	+	1.28928i	0.0204664	+	0.999791i	$0.493485\pi$
$653$	−23.9367	+	32.9460i	−0.936715	+	1.28928i	−0.957182	+	0.289488i	$0.906515\pi$
$654$	0.512123	+	3.35503i	0.0200256	+	0.131192i
$655$	−3.76779	+	1.22423i	−0.147220	+	0.0478346i
$656$	−7.89214	−	5.73398i	−0.308136	−	0.223874i
$657$	9.62936	+	30.8072i	0.375677	+	1.20190i
$658$	−0.863658	+	2.65807i	−0.0336689	+	0.103622i
$659$	−3.77335			−0.146989			−0.0734945	−	0.997296i	$-0.523415\pi$
$659$	−3.77335			−0.146989			−0.0734945	+	0.997296i	$0.523415\pi$
$660$	3.51043	+	6.36634i	0.136643	+	0.247810i
$661$	35.5412			1.38239			0.691196	−	0.722667i	$-0.257084\pi$
$661$	35.5412			1.38239			0.691196	+	0.722667i	$0.257084\pi$
$662$	1.55487	−	4.78541i	0.0604319	−	0.185990i
$663$	−0.285129	+	0.143273i	−0.0110735	+	0.00556426i
$664$	7.89471	+	5.73584i	0.306374	+	0.222594i
$665$	−4.98079	+	1.61836i	−0.193147	+	0.0627571i
$666$	−0.251333	+	22.4163i	−0.00973895	+	0.868614i
$667$	24.8723	−	34.2337i	0.963058	−	1.32554i
$668$	9.16271	−	6.65710i	0.354516	−	0.257571i
$669$	28.0107	+	14.4705i	1.08296	+	0.559463i
$670$			15.3757i			0.594015i
$671$	6.60486	−	5.19635i	0.254978	−	0.200603i
$672$	1.70918	+	0.280538i	0.0659331	+	0.0108220i
$673$	−31.3630	−	10.1905i	−1.20895	−	0.392813i	−0.365907	−	0.930652i	$-0.619241\pi$
$673$	−31.3630	−	10.1905i	−1.20895	−	0.392813i	−0.843048	+	0.537838i	$0.819241\pi$
$674$	−13.2501	−	18.2372i	−0.510375	−	0.702471i
$675$	−15.8664	+	7.75107i	−0.610699	+	0.298339i
$676$	4.01026	+	12.3423i	0.154241	+	0.474704i
$677$	−0.576976	−	1.77575i	−0.0221750	−	0.0682476i	0.939357	−	0.342942i	$-0.111423\pi$
$677$	−0.576976	−	1.77575i	−0.0221750	−	0.0682476i	−0.961532	+	0.274694i	$0.911423\pi$
$678$	−22.3492	−	22.6012i	−0.858317	−	0.867995i
$679$	5.82521	+	8.01771i	0.223551	+	0.307692i
$680$	−1.47761	−	0.480105i	−0.0566638	−	0.0184112i
$681$	−5.52300	+	33.6489i	−0.211642	+	1.28943i
$682$	14.3227	+	4.05460i	0.548444	+	0.155259i
$683$			39.4696i			1.51026i	0.655573	+	0.755132i	$0.272427\pi$
$683$			39.4696i			1.51026i	−0.655573	+	0.755132i	$0.727573\pi$
$684$	9.96119	+	7.40927i	0.380876	+	0.283300i
$685$	0.872697	−	0.634052i	0.0333441	−	0.0242259i
$686$	0.587785	−	0.809017i	0.0224417	−	0.0308884i
$687$	−16.7747	+	2.56054i	−0.639995	+	0.0976909i
$688$	−4.17318	+	1.35595i	−0.159101	+	0.0516950i
$689$	−0.705178	−	0.512342i	−0.0268651	−	0.0195187i
$690$	−7.86293	−	15.6481i	−0.299337	−	0.595713i
$691$	6.90773	−	21.2598i	0.262783	−	0.808762i	−0.729413	−	0.684073i	$-0.760207\pi$
$691$	6.90773	−	21.2598i	0.262783	−	0.808762i	0.992196	−	0.124688i	$-0.0397931\pi$
$692$	17.1279			0.651105
$693$	−6.06418	−	7.88833i	−0.230359	−	0.299653i
$694$	20.3822			0.773699
$695$	2.99118	−	9.20591i	0.113462	−	0.349200i
$696$	4.11893	+	8.19712i	0.156128	+	0.310711i
$697$	−9.68877	−	7.03930i	−0.366988	−	0.266633i
$698$	−20.6714	+	6.71655i	−0.782425	+	0.254225i
$699$	51.6286	−	7.88075i	1.95277	−	0.298077i
$700$	1.99752	−	2.74935i	0.0754991	−	0.103916i
$701$	−36.2208	+	26.3160i	−1.36804	+	0.993941i	−0.370155	+	0.928970i	$0.620695\pi$
$701$	−36.2208	+	26.3160i	−1.36804	+	0.993941i	−0.997887	+	0.0649706i	$0.979305\pi$
$702$	0.560587	−	0.542042i	0.0211580	−	0.0204581i
$703$		−	30.9230i		−	1.16628i
$704$	0.126956	+	3.31419i	0.00478485	+	0.124908i
$705$	−0.992273	+	6.04543i	−0.0373712	+	0.227684i
$706$	−11.5876	−	3.76505i	−0.436106	−	0.141699i
$707$	−0.897019	−	1.23464i	−0.0337359	−	0.0464335i
$708$	17.9097	+	18.1116i	0.673088	+	0.680677i
$709$	−8.93914	−	27.5119i	−0.335717	−	1.03323i	−0.966368	−	0.257163i	$-0.917212\pi$
$709$	−8.93914	−	27.5119i	−0.335717	−	1.03323i	0.630651	−	0.776066i	$-0.282788\pi$
$710$	−2.45686	−	7.56144i	−0.0922044	−	0.283776i
$711$	26.6386	−	18.9014i	0.999025	−	0.708858i
$712$	0.629005	+	0.865751i	0.0235730	+	0.0324454i
$713$	−34.1022	−	11.0805i	−1.27714	−	0.414968i
$714$	2.09827	+	0.344402i	0.0785259	+	0.0128889i
$715$	−0.591179	+	0.217438i	−0.0221088	+	0.00813173i
$716$		−	0.376232i		−	0.0140605i
$717$	−4.57012	−	2.36095i	−0.170674	−	0.0881714i
$718$	−21.3205	+	15.4903i	−0.795676	+	0.578092i
$719$	11.0692	−	15.2355i	0.412812	−	0.568187i	−0.551090	−	0.834446i	$-0.685788\pi$
$719$	11.0692	−	15.2355i	0.412812	−	0.568187i	0.963901	+	0.266259i	$0.0857877\pi$
$720$	3.79642	+	0.0425656i	0.141484	+	0.00158633i
$721$	3.83172	−	1.24500i	0.142701	−	0.0463663i
$722$	1.51713	+	1.10226i	0.0564617	+	0.0410219i
$723$	6.51891	−	3.27565i	0.242441	−	0.121823i
$724$	−5.34329	+	16.4450i	−0.198582	+	0.611172i
$725$	17.9995			0.668484
$726$	12.4830	−	14.3936i	0.463286	−	0.534197i
$727$	45.8398			1.70010			0.850051	−	0.526700i	$-0.176571\pi$
$727$	45.8398			1.70010			0.850051	+	0.526700i	$0.176571\pi$
$728$	−0.0463742	+	0.142725i	−0.00171874	+	0.00528975i
$729$	25.3834	+	9.20227i	0.940127	+	0.340825i
$730$	−11.0156	−	8.00333i	−0.407707	−	0.296216i
$731$	−5.12319	+	1.66463i	−0.189488	+	0.0615684i
$732$	−0.662251	−	4.33856i	−0.0244775	−	0.160358i
$733$	4.64612	−	6.39483i	0.171608	−	0.236199i	−0.714546	−	0.699588i	$-0.753367\pi$
$733$	4.64612	−	6.39483i	0.171608	−	0.236199i	0.886155	+	0.463389i	$0.153367\pi$
$734$	−14.4897	+	10.5274i	−0.534825	+	0.388573i
$735$	1.00608	−	1.94748i	0.0371098	−	0.0718338i
$736$		−	7.98930i		−	0.294490i
$737$	37.8181	−	13.9097i	1.39305	−	0.512369i
$738$	27.7302	+	9.35507i	1.02076	+	0.344365i
$739$	−30.1398	−	9.79303i	−1.10871	−	0.360242i	−0.303263	−	0.952907i	$-0.598076\pi$
$739$	−30.1398	−	9.79303i	−1.10871	−	0.360242i	−0.805449	+	0.592665i	$0.798076\pi$
$740$	−5.55864	−	7.65081i	−0.204340	−	0.281250i
$741$	−0.764843	+	0.756316i	−0.0280972	+	0.0277840i
$742$	1.79485	+	5.52399i	0.0658912	+	0.202792i
$743$	8.62955	+	26.5590i	0.316587	+	0.974356i	0.975096	+	0.221783i	$0.0711876\pi$
$743$	8.62955	+	26.5590i	0.316587	+	0.974356i	−0.658509	+	0.752573i	$0.728812\pi$
$744$	5.52757	−	5.46594i	0.202651	−	0.200391i
$745$	−0.662236	−	0.911489i	−0.0242624	−	0.0333944i
$746$	−10.6734	−	3.46800i	−0.390781	−	0.126973i
$747$	−27.7392	−	9.35811i	−1.01492	−	0.342396i
$748$	0.155858	+	4.06866i	0.00569873	+	0.148765i
$749$		−	3.31020i		−	0.120952i
$750$	8.44944	−	16.3556i	0.308530	−	0.597224i
$751$	−39.9326	+	29.0127i	−1.45716	+	1.05869i	−0.473068	+	0.881026i	$0.656854\pi$
$751$	−39.9326	+	29.0127i	−1.45716	+	1.05869i	−0.984091	+	0.177662i	$0.943146\pi$
$752$	−1.64278	+	2.26109i	−0.0599059	+	0.0824533i
$753$	2.67556	+	17.5282i	0.0975029	+	0.638764i
$754$	−0.755942	+	0.245620i	−0.0275298	+	0.00894497i
$755$	−14.9239	−	10.8428i	−0.543135	−	0.394611i
$756$	−5.14512	+	0.726437i	−0.187126	+	0.0264202i
$757$	4.52610	−	13.9299i	0.164504	−	0.506291i	−0.834495	−	0.551015i	$-0.814241\pi$
$757$	4.52610	−	13.9299i	0.164504	−	0.506291i	0.998999	+	0.0447237i	$0.0142408\pi$
$758$	−17.5667			−0.638051
$759$	−31.3749	+	33.4958i	−1.13884	+	1.21582i
$760$	−5.23711			−0.189970
$761$	2.71038	−	8.34169i	0.0982512	−	0.302386i	−0.889836	−	0.456280i	$-0.849181\pi$
$761$	2.71038	−	8.34169i	0.0982512	−	0.302386i	0.988087	+	0.153894i	$0.0491815\pi$
$762$	−15.9968	+	8.03816i	−0.579505	+	0.291192i
$763$	1.58524	+	1.15175i	0.0573896	+	0.0416960i
$764$	10.9644	−	3.56255i	0.396678	−	0.128889i
$765$	4.66066	+	0.0522556i	0.168507	+	0.00188930i
$766$	−14.7721	+	20.3321i	−0.533739	+	0.734629i
$767$	−1.78543	+	1.29719i	−0.0644681	+	0.0468388i
$768$	1.53884	+	0.794973i	0.0555280	+	0.0286861i
$769$			7.95794i			0.286971i	0.989652	+	0.143485i	$0.0458310\pi$
$769$			7.95794i			0.286971i	−0.989652	+	0.143485i	$0.954169\pi$
$770$	4.03865	+	1.14330i	0.145543	+	0.0412016i
$771$	46.7288	+	7.66988i	1.68290	+	0.276224i
$772$	10.3428	+	3.36058i	0.372246	+	0.120950i
$773$	−2.00414	−	2.75846i	−0.0720839	−	0.0992150i	0.771453	−	0.636287i	$-0.219530\pi$
$773$	−2.00414	−	2.75846i	−0.0720839	−	0.0992150i	−0.843537	+	0.537072i	$0.819530\pi$
$774$	10.7358	−	7.61761i	0.385891	−	0.273809i
$775$	−4.71327	−	14.5059i	−0.169306	−	0.521069i
$776$	3.06249	+	9.42539i	0.109937	+	0.338352i
$777$	9.10055	+	9.20316i	0.326480	+	0.330161i
$778$	6.53645	+	8.99665i	0.234343	+	0.322545i
$779$	−38.3933	−	12.4747i	−1.37558	−	0.446954i
$780$	−0.0532802	+	0.324610i	−0.00190774	+	0.0116229i
$781$	−16.3755	+	12.8834i	−0.585963	+	0.461004i
$782$		−	9.80805i		−	0.350735i
$783$	−19.1305	−	19.7851i	−0.683669	−	0.707060i
$784$	0.809017	−	0.587785i	0.0288935	−	0.0209923i
$785$	−16.0365	+	22.0724i	−0.572369	+	0.787798i
$786$	5.35994	−	0.818157i	0.191183	−	0.0291827i
$787$	8.94226	−	2.90552i	0.318757	−	0.103570i	−0.145268	−	0.989392i	$-0.546405\pi$
$787$	8.94226	−	2.90552i	0.318757	−	0.103570i	0.464026	+	0.885822i	$0.346405\pi$
$788$	7.87907	+	5.72448i	0.280680	+	0.203926i
$789$	−15.4718	−	30.7906i	−0.550811	−	1.09617i
$790$	−4.25793	+	13.1046i	−0.151490	+	0.466239i
$791$	−18.3512			−0.652495
$792$	−3.32974	−	9.37618i	−0.118317	−	0.333168i
$793$	0.380260			0.0135034
$794$	−6.92626	+	21.3168i	−0.245804	+	0.756506i
$795$	5.71640	+	11.3763i	0.202740	+	0.403475i
$796$	−15.4832	−	11.2492i	−0.548786	−	0.398716i
$797$	38.8467	−	12.6221i	1.37602	−	0.447096i	0.474662	−	0.880168i	$-0.342570\pi$
$797$	38.8467	−	12.6221i	1.37602	−	0.447096i	0.901359	+	0.433072i	$0.142570\pi$
$798$	7.08551	−	1.08155i	0.250824	−	0.0382866i
$799$	−2.01675	+	2.77582i	−0.0713475	+	0.0982014i
$800$	2.74935	−	1.99752i	0.0972041	−	0.0706229i
$801$	−2.57593	−	1.91601i	−0.0910161	−	0.0676991i
$802$			5.33100i			0.188244i
$803$	−9.71968	+	34.3343i	−0.343000	+	1.21163i
$804$	3.40837	−	20.7655i	0.120204	−	0.732343i
$805$	−9.61601	−	3.12443i	−0.338920	−	0.110122i
$806$	0.395896	+	0.544904i	0.0139448	+	0.0191934i
$807$	0.771474	+	0.780172i	0.0271572	+	0.0274634i
$808$	−0.471591	−	1.45141i	−0.0165905	−	0.0510603i
$809$	0.901007	+	2.77301i	0.0316777	+	0.0974939i	0.965645	−	0.259864i	$-0.0836777\pi$
$809$	0.901007	+	2.77301i	0.0316777	+	0.0974939i	−0.933968	+	0.357358i	$0.883678\pi$
$810$	−10.9087	+	3.27593i	−0.383292	+	0.115104i
$811$	−20.8639	−	28.7168i	−0.732632	−	1.00838i	−0.999009	−	0.0445126i	$-0.985827\pi$
$811$	−20.8639	−	28.7168i	−0.732632	−	1.00838i	0.266377	−	0.963869i	$-0.414173\pi$
$812$	5.03726	+	1.63671i	0.176773	+	0.0574371i
$813$	−44.8434	−	7.36042i	−1.57273	−	0.258141i
$814$	−13.7893	+	20.5934i	−0.483316	+	0.721798i
$815$		−	11.9930i		−	0.420095i
$816$	1.88915	+	0.975947i	0.0661334	+	0.0341650i
$817$	−14.6903	+	10.6731i	−0.513947	+	0.373405i
$818$	9.47901	−	13.0467i	0.331426	−	0.456169i
$819$	0.00504746	−	0.450182i	0.000176373	−	0.0157306i
$820$	−11.7415	+	3.81504i	−0.410031	+	0.133227i
$821$	−35.8961	−	26.0801i	−1.25278	−	0.910200i	−0.254403	−	0.967098i	$-0.581879\pi$
$821$	−35.8961	−	26.0801i	−1.25278	−	0.910200i	−0.998380	+	0.0568979i	$0.981879\pi$
$822$	−1.31917	+	0.662861i	−0.0460112	+	0.0231199i
$823$	13.6996	−	42.1630i	0.477537	−	1.46971i	−0.364968	−	0.931020i	$-0.618920\pi$
$823$	13.6996	−	42.1630i	0.477537	−	1.46971i	0.842505	−	0.538688i	$-0.181080\pi$
$824$	4.02891			0.140354
$825$	−19.3713	−	2.42225i	−0.674424	−	0.0843319i
$826$	14.7059			0.511683
$827$	−17.7051	+	54.4908i	−0.615667	+	1.89483i	−0.224685	+	0.974431i	$0.572135\pi$
$827$	−17.7051	+	54.4908i	−0.615667	+	1.89483i	−0.390983	+	0.920398i	$0.627865\pi$
$828$	7.15046	+	22.8764i	0.248496	+	0.795011i
$829$	−7.96168	−	5.78450i	−0.276521	−	0.200904i	0.440878	−	0.897567i	$-0.354667\pi$
$829$	−7.96168	−	5.78450i	−0.276521	−	0.200904i	−0.717398	+	0.696663i	$0.754667\pi$
$830$	11.7453	−	3.81628i	0.407686	−	0.132465i
$831$	−7.37566	−	48.3197i	−0.255859	−	1.67619i
$832$	−0.0882090	+	0.121409i	−0.00305810	+	0.00420911i
$833$	0.993188	−	0.721593i	0.0344119	−	0.0250017i
$834$	−6.08041	+	11.7699i	−0.210547	+	0.407558i
$835$		−	14.3333i		−	0.496024i
$836$	4.73777	+	12.8812i	0.163859	+	0.445506i
$837$	−10.9355	+	20.5983i	−0.377987	+	0.711981i
$838$	17.8350	+	5.79495i	0.616101	+	0.200183i
$839$	−26.2744	−	36.1636i	−0.907093	−	1.24851i	−0.968150	−	0.250372i	$-0.919447\pi$
$839$	−26.2744	−	36.1636i	−0.907093	−	1.24851i	0.0610572	−	0.998134i	$-0.480553\pi$
$840$	1.55864	−	1.54126i	0.0537783	−	0.0531787i
$841$	−0.292701	−	0.900843i	−0.0100932	−	0.0310635i
$842$	2.34613	+	7.22064i	0.0808529	+	0.248840i
$843$	−5.74384	+	5.67980i	−0.197828	+	0.195623i
$844$	0.255070	+	0.351073i	0.00877986	+	0.0120844i
$845$	15.6198	+	5.07519i	0.537339	+	0.174592i
$846$	2.68021	−	7.94465i	0.0921476	−	0.273143i
$847$	−0.841517	−	10.9678i	−0.0289149	−	0.376857i
$848$			5.80827i			0.199457i
$849$	19.4365	−	37.6234i	0.667060	−	1.29123i
$850$	3.37523	−	2.45225i	0.115769	−	0.0841114i
$851$	35.0912	−	48.2988i	1.20291	−	1.65566i
$852$	1.64193	+	10.7567i	0.0562516	+	0.368517i
$853$	−14.8506	+	4.82526i	−0.508476	+	0.165214i	−0.552009	−	0.833838i	$-0.686139\pi$
$853$	−14.8506	+	4.82526i	−0.508476	+	0.165214i	0.0435333	+	0.999052i	$0.486139\pi$
$854$	−2.04995	−	1.48938i	−0.0701480	−	0.0509655i
$855$	14.9959	−	4.68724i	0.512847	−	0.160300i
$856$	1.02291	−	3.14819i	0.0349623	−	0.107603i
$857$	−23.4298			−0.800346			−0.400173	−	0.916440i	$-0.631050\pi$
$857$	−23.4298			−0.800346			−0.400173	+	0.916440i	$0.631050\pi$
$858$	0.846612	−	0.162611i	0.0289029	−	0.00555146i
$859$	−45.1419			−1.54022			−0.770110	−	0.637911i	$-0.779799\pi$
$859$	−45.1419			−1.54022			−0.770110	+	0.637911i	$0.779799\pi$
$860$	−1.71602	+	5.28137i	−0.0585158	+	0.180093i
$861$	15.0977	−	7.58635i	0.514528	−	0.258542i
$862$	−18.4067	−	13.3733i	−0.626936	−	0.455496i
$863$	10.9781	−	3.56700i	0.373699	−	0.121422i	−0.116145	−	0.993232i	$-0.537054\pi$
$863$	10.9781	−	3.56700i	0.373699	−	0.121422i	0.489844	+	0.871810i	$0.337054\pi$
$864$	−5.11778	−	0.899048i	−0.174111	−	0.0305862i
$865$	12.7410	−	17.5364i	0.433206	−	0.596257i
$866$	−8.15913	+	5.92796i	−0.277259	+	0.201440i
$867$	−23.8410	−	12.3164i	−0.809683	−	0.418288i
$868$		−	4.48815i		−	0.152338i
$869$	36.0839	−	1.38226i	1.22406	−	0.0468901i
$870$	11.4566	+	1.88044i	0.388415	+	0.0637529i
$871$	1.73402	+	0.563419i	0.0587552	+	0.0190907i
$872$	1.15175	+	1.58524i	0.0390030	+	0.0536830i
$873$	−17.2049	−	24.2476i	−0.582296	−	0.820655i
$874$	−10.2165	−	31.4432i	−0.345579	−	1.06358i
$875$	−3.28441	−	10.1084i	−0.111033	−	0.341726i
$876$	13.1030	+	13.2507i	0.442708	+	0.447700i
$877$	23.7693	+	32.7156i	0.802632	+	1.10473i	0.992419	+	0.122903i	$0.0392204\pi$
$877$	23.7693	+	32.7156i	0.802632	+	1.10473i	−0.189787	+	0.981825i	$0.560780\pi$
$878$	2.50363	+	0.813480i	0.0844935	+	0.0274536i
$879$	−1.99775	+	12.1713i	−0.0673824	+	0.410528i
$880$	3.48769	+	2.33535i	0.117570	+	0.0787247i
$881$		−	27.0165i		−	0.910209i	−0.890438	−	0.455104i	$-0.849602\pi$
$881$		−	27.0165i		−	0.910209i	0.890438	−	0.455104i	$-0.150398\pi$
$882$	−1.79046	+	2.40713i	−0.0602878	+	0.0810522i
$883$	−36.9282	+	26.8299i	−1.24273	+	0.902897i	−0.997777	−	0.0666371i	$-0.978773\pi$
$883$	−36.9282	+	26.8299i	−1.24273	+	0.902897i	−0.244954	+	0.969535i	$0.578773\pi$
$884$	−0.108290	+	0.149048i	−0.00364217	+	0.00501302i
$885$	31.8662	−	4.86415i	1.07117	−	0.163507i
$886$	19.2664	−	6.26004i	0.647268	−	0.210310i
$887$	32.1172	+	23.3345i	1.07839	+	0.783495i	0.977401	−	0.211392i	$-0.0677997\pi$
$887$	32.1172	+	23.3345i	1.07839	+	0.783495i	0.100988	+	0.994888i	$0.467800\pi$
$888$	5.81120	+	11.5649i	0.195011	+	0.388094i
$889$	−3.19406	+	9.83031i	−0.107125	+	0.329698i
$890$	1.35430			0.0453963
$891$	17.9261	+	23.8675i	0.600546	+	0.799590i
$892$	18.2025			0.609465
$893$	−3.57399	+	10.9996i	−0.119599	+	0.368088i
$894$	0.692325	+	1.37780i	0.0231548	+	0.0460807i
$895$	−0.385206	−	0.279869i	−0.0128760	−	0.00935498i
$896$	0.951057	−	0.309017i	0.0317726	−	0.0103235i
$897$	−2.05287	+	0.313357i	−0.0685434	+	0.0104627i
$898$	−15.1453	+	20.8457i	−0.505406	+	0.695631i
$899$	19.2315	−	13.9725i	0.641407	−	0.466009i
$900$	−6.08465	+	8.18034i	−0.202822	+	0.272678i
$901$			7.13051i			0.237552i
$902$	20.0055	+	25.4281i	0.666109	+	0.846664i
$903$	1.23098	−	7.49978i	0.0409646	−	0.249577i
$904$	−17.4531	−	5.67084i	−0.580480	−	0.188609i
$905$	12.8625	+	17.7037i	0.427563	+	0.588490i
$906$	17.7517	+	17.9519i	0.589762	+	0.596412i
$907$	11.5188	+	35.4512i	0.382475	+	1.17714i	0.938295	+	0.345835i	$0.112404\pi$
$907$	11.5188	+	35.4512i	0.382475	+	1.17714i	−0.555820	+	0.831302i	$0.687596\pi$
$908$	6.08367	+	18.7236i	0.201894	+	0.621365i
$909$	2.64936	+	3.73386i	0.0878738	+	0.123844i
$910$	0.111633	+	0.153650i	0.00370060	+	0.00509344i
$911$	8.56241	+	2.78210i	0.283685	+	0.0921749i	0.447404	−	0.894332i	$-0.352349\pi$
$911$	8.56241	+	2.78210i	0.283685	+	0.0921749i	−0.163718	+	0.986507i	$0.552349\pi$
$912$	7.07294	+	1.16092i	0.234208	+	0.0384420i
$913$	−20.0120	−	25.4364i	−0.662300	−	0.841822i
$914$		−	23.7456i		−	0.785435i
$915$	−4.93468	−	2.54929i	−0.163135	−	0.0842769i
$916$	−7.92599	+	5.75857i	−0.261882	+	0.190269i
$917$	1.84001	−	2.53255i	0.0607623	−	0.0836322i
$918$	−6.28284	−	1.10371i	−0.207365	−	0.0364280i
$919$	19.1502	−	6.22228i	0.631707	−	0.205254i	0.0243760	−	0.999703i	$-0.492240\pi$
$919$	19.1502	−	6.22228i	0.631707	−	0.205254i	0.607331	+	0.794449i	$0.292240\pi$
$920$	−8.17987	−	5.94302i	−0.269682	−	0.195936i
$921$	−39.6007	+	19.8988i	−1.30489	+	0.655686i
$922$	0.860804	−	2.64928i	0.0283491	−	0.0872495i
$923$	−0.942785			−0.0310322
$924$	−5.20093	−	2.43933i	−0.171098	−	0.0802481i
$925$	25.3946			0.834971
$926$	0.926661	−	2.85197i	0.0304520	−	0.0937216i
$927$	−11.5363	+	3.60589i	−0.378902	+	0.118433i
$928$	4.28495	+	3.11320i	0.140660	+	0.102196i
$929$	36.4151	−	11.8320i	1.19474	−	0.388195i	0.356917	−	0.934136i	$-0.383828\pi$
$929$	36.4151	−	11.8320i	1.19474	−	0.388195i	0.837823	+	0.545942i	$0.183828\pi$
$930$	−1.48451	−	9.72538i	−0.0486791	−	0.318908i
$931$	2.43237	−	3.34788i	0.0797179	−	0.109722i
$932$	24.3943	−	17.7235i	0.799063	−	0.580553i
$933$	−4.05838	+	7.85583i	−0.132865	+	0.257188i
$934$			5.42478i			0.177504i
$935$	4.28165	+	2.86699i	0.140025	+	0.0937606i
$936$	0.143914	−	0.426589i	0.00470399	−	0.0139435i
$937$	47.7321	+	15.5091i	1.55934	+	0.506660i	0.956631	−	0.291302i	$-0.0940886\pi$
$937$	47.7321	+	15.5091i	1.55934	+	0.506660i	0.602708	+	0.797962i	$0.294089\pi$
$938$	−7.14124	−	9.82907i	−0.233170	−	0.320930i
$939$	19.8930	−	19.6712i	0.649182	−	0.641944i
$940$	1.09300	+	3.36392i	0.0356499	+	0.109719i
$941$	6.03396	+	18.5706i	0.196702	+	0.605385i	0.999953	+	0.00974438i	$0.00310178\pi$
$941$	6.03396	+	18.5706i	0.196702	+	0.605385i	−0.803251	+	0.595641i	$0.796898\pi$
$942$	26.5509	−	26.2549i	0.865075	−	0.855430i
$943$	−45.8104	−	63.0527i	−1.49179	−	2.05328i
$944$	13.9861	+	4.54436i	0.455209	+	0.147906i
$945$	−3.08355	+	5.80822i	−0.100308	+	0.188942i
$946$	14.5425	−	0.557077i	0.472817	−	0.0181121i
$947$		−	0.232395i		−	0.00755181i	−0.999993	−	0.00377591i	$-0.998798\pi$
$947$		−	0.232395i		−	0.00755181i	0.999993	−	0.00377591i	$-0.00120191\pi$
$948$	8.65543	−	16.7544i	0.281115	−	0.544157i
$949$	−1.30624	+	0.949041i	−0.0424024	+	0.0308072i
$950$	8.26613	−	11.3774i	0.268189	−	0.369130i
$951$	−4.40047	−	28.8285i	−0.142695	−	0.934828i
$952$	1.16756	−	0.379364i	0.0378409	−	0.0122953i
$953$	−7.79107	−	5.66054i	−0.252377	−	0.183363i	0.454402	−	0.890797i	$-0.349853\pi$
$953$	−7.79107	−	5.66054i	−0.252377	−	0.183363i	−0.706780	+	0.707434i	$0.749853\pi$
$954$	−5.19843	−	16.6313i	−0.168305	−	0.538459i
$955$	4.50859	−	13.8760i	0.145895	−	0.449017i
$956$	−2.96985			−0.0960519
$957$	−5.73911	−	29.8798i	−0.185519	−	0.965878i
$958$	26.9841			0.871818
$959$	−0.263396	+	0.810649i	−0.00850549	+	0.0261772i
$960$	1.95863	−	0.984183i	0.0632146	−	0.0317644i
$961$	8.78307	+	6.38127i	0.283325	+	0.205847i
$962$	−1.06652	+	0.346535i	−0.0343861	+	0.0111727i
$963$	−0.111335	+	9.92998i	−0.00358773	+	0.319989i
$964$	2.47583	−	3.40768i	0.0797410	−	0.109754i
$965$	11.1345	−	8.08967i	0.358431	−	0.260416i
$966$	12.2942	+	6.35128i	0.395560	+	0.204349i
$967$		−	32.6778i		−	1.05085i	−0.850840	−	0.525424i	$-0.823907\pi$
$967$		−	32.6778i		−	1.05085i	0.850840	−	0.525424i	$-0.176093\pi$
$968$	2.58890	−	10.6910i	0.0832103	−	0.343622i
$969$	8.68308	+	1.42521i	0.278941	+	0.0457842i
$970$	11.9283	+	3.87574i	0.382995	+	0.124443i
$971$	9.50365	+	13.0807i	0.304987	+	0.419778i	0.933810	−	0.357770i	$-0.116463\pi$
$971$	9.50365	+	13.0807i	0.304987	+	0.419778i	−0.628823	+	0.777549i	$0.716463\pi$
$972$	15.4588	−	2.00612i	0.495842	−	0.0643464i
$973$	2.36354	+	7.27423i	0.0757716	+	0.233201i
$974$	5.42253	+	16.6888i	0.173749	+	0.534745i
$975$	−0.621103	−	0.628106i	−0.0198912	−	0.0201155i
$976$	−1.48938	−	2.04995i	−0.0476739	−	0.0656174i
$977$	3.72468	+	1.21022i	0.119163	+	0.0387184i	0.367992	−	0.929829i	$-0.380046\pi$
$977$	3.72468	+	1.21022i	0.119163	+	0.0387184i	−0.248828	+	0.968548i	$0.580046\pi$
$978$	−2.65851	+	16.1970i	−0.0850098	+	0.517923i
$979$	−1.22517	−	3.33104i	−0.0391567	−	0.106461i
$980$		−	1.26555i		−	0.0404266i
$981$	−4.71669	−	3.50834i	−0.150592	−	0.112013i
$982$	−27.3069	+	19.8396i	−0.871399	+	0.633109i
$983$	7.15144	−	9.84312i	0.228096	−	0.313947i	−0.679594	−	0.733588i	$-0.737844\pi$
$983$	7.15144	−	9.84312i	0.228096	−	0.313947i	0.907690	+	0.419641i	$0.137844\pi$
$984$	16.7031	−	2.54961i	0.532474	−	0.0812785i
$985$	11.7221	−	3.80873i	0.373496	−	0.121356i
$986$	5.26041	+	3.82191i	0.167526	+	0.121714i
$987$	−2.17348	−	4.32547i	−0.0691826	−	0.137681i
$988$	−0.191906	+	0.590626i	−0.00610534	+	0.0187903i
$989$	−35.0565			−1.11473
$990$	−12.0767	−	3.56552i	−0.383824	−	0.113320i
$991$	−52.0302			−1.65279			−0.826396	−	0.563089i	$-0.809613\pi$
$991$	−52.0302			−1.65279			−0.826396	+	0.563089i	$0.809613\pi$
$992$	1.38692	−	4.26849i	0.0440346	−	0.135525i
$993$	3.91299	+	7.78729i	0.124175	+	0.247122i
$994$	5.08249	+	3.69264i	0.161207	+	0.117124i
$995$	−23.0350	+	7.48452i	−0.730258	+	0.237275i
$996$	−16.7085	+	2.55044i	−0.529429	+	0.0808137i
$997$	−21.6875	+	29.8502i	−0.686849	+	0.945366i	−0.999991	−	0.00433997i	$-0.998619\pi$
$997$	−21.6875	+	29.8502i	−0.686849	+	0.945366i	0.313142	+	0.949706i	$0.398619\pi$
$998$	−6.19831	+	4.50333i	−0.196204	+	0.142551i
$999$	−26.9904	−	27.9138i	−0.853938	−	0.883154i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	462.2.w.b.365.6	yes	48
3.2	odd	2		462.2.w.a.365.10	yes	48
11.6	odd	10		462.2.w.a.281.10	✓	48
33.17	even	10	inner	462.2.w.b.281.6	yes	48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
462.2.w.a.281.10	✓	48	11.6	odd	10
462.2.w.a.365.10	yes	48	3.2	odd	2
462.2.w.b.281.6	yes	48	33.17	even	10	inner
462.2.w.b.365.6	yes	48	1.1	even	1	trivial

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)

\(f(q)\)	\(=\)	\(q+(-0.309017 + 0.951057i) q^{2} +(-0.777671 - 1.54765i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-1.20361 + 0.391077i) q^{5} +(1.71222 - 0.261358i) q^{6} +(0.587785 - 0.809017i) q^{7} +(0.809017 - 0.587785i) q^{8} +(-1.79046 + 2.40713i) q^{9} +O(q^{10})\)	\(q+(-0.309017 + 0.951057i) q^{2} +(-0.777671 - 1.54765i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-1.20361 + 0.391077i) q^{5} +(1.71222 - 0.261358i) q^{6} +(0.587785 - 0.809017i) q^{7} +(0.809017 - 0.587785i) q^{8} +(-1.79046 + 2.40713i) q^{9} -1.26555i q^{10} +(-3.11275 + 1.14489i) q^{11} +(-0.280538 + 1.70918i) q^{12} +(-0.142725 - 0.0463742i) q^{13} +(0.587785 + 0.809017i) q^{14} +(1.54126 + 1.55864i) q^{15} +(0.309017 + 0.951057i) q^{16} +(0.379364 + 1.16756i) q^{17} +(-1.73603 - 2.44667i) q^{18} +(2.43237 + 3.34788i) q^{19} +(1.20361 + 0.391077i) q^{20} +(-1.70918 - 0.280538i) q^{21} +(-0.126956 - 3.31419i) q^{22} +7.98930i q^{23} +(-1.53884 - 0.794973i) q^{24} +(-2.74935 + 1.99752i) q^{25} +(0.0882090 - 0.121409i) q^{26} +(5.11778 + 0.899048i) q^{27} +(-0.951057 + 0.309017i) q^{28} +(-4.28495 - 3.11320i) q^{29} +(-1.95863 + 0.984183i) q^{30} +(-1.38692 + 4.26849i) q^{31} -1.00000 q^{32} +(4.19258 + 3.92712i) q^{33} -1.22765 q^{34} +(-0.391077 + 1.20361i) q^{35} +(2.86338 - 0.895005i) q^{36} +(-6.04544 - 4.39227i) q^{37} +(-3.93566 + 1.27878i) q^{38} +(0.0392221 + 0.256953i) q^{39} +(-0.743872 + 1.02385i) q^{40} +(-7.89214 + 5.73398i) q^{41} +(0.794973 - 1.53884i) q^{42} +4.38794i q^{43} +(3.19122 + 0.903399i) q^{44} +(1.21364 - 3.59745i) q^{45} +(-7.59828 - 2.46883i) q^{46} +(1.64278 + 2.26109i) q^{47} +(1.23159 - 1.21786i) q^{48} +(-0.309017 - 0.951057i) q^{49} +(-1.05016 - 3.23205i) q^{50} +(1.51196 - 1.49510i) q^{51} +(0.0882090 + 0.121409i) q^{52} +(5.52399 + 1.79485i) q^{53} +(-2.43653 + 4.58948i) q^{54} +(3.29881 - 2.59532i) q^{55} -1.00000i q^{56} +(3.28976 - 6.36802i) q^{57} +(4.28495 - 3.11320i) q^{58} +(8.64390 - 11.8973i) q^{59} +(-0.330762 - 2.16690i) q^{60} +(-2.40987 + 0.783013i) q^{61} +(-3.63099 - 2.63807i) q^{62} +(0.895005 + 2.86338i) q^{63} +(0.309017 - 0.951057i) q^{64} +0.189921 q^{65} +(-5.03049 + 2.77384i) q^{66} -12.1494 q^{67} +(0.379364 - 1.16756i) q^{68} +(12.3647 - 6.21305i) q^{69} +(-1.02385 - 0.743872i) q^{70} +(5.97482 - 1.94134i) q^{71} +(-0.0336340 + 2.99981i) q^{72} +(6.32399 - 8.70422i) q^{73} +(6.04544 - 4.39227i) q^{74} +(5.22955 + 2.70162i) q^{75} -4.13820i q^{76} +(-0.903399 + 3.19122i) q^{77} +(-0.256497 - 0.0421004i) q^{78} +(-10.3548 - 3.36448i) q^{79} +(-0.743872 - 1.02385i) q^{80} +(-2.58854 - 8.61971i) q^{81} +(-3.01453 - 9.27777i) q^{82} +(3.01551 + 9.28079i) q^{83} +(1.21786 + 1.23159i) q^{84} +(-0.913213 - 1.25693i) q^{85} +(-4.17318 - 1.35595i) q^{86} +(-1.48587 + 9.05266i) q^{87} +(-1.84532 + 2.75586i) q^{88} +1.07013i q^{89} +(3.04635 + 2.26591i) q^{90} +(-0.121409 + 0.0882090i) q^{91} +(4.69599 - 6.46348i) q^{92} +(7.68470 - 1.17302i) q^{93} +(-2.65807 + 0.863658i) q^{94} +(-4.23691 - 3.07830i) q^{95} +(0.777671 + 1.54765i) q^{96} +(-3.06249 + 9.42539i) q^{97} +1.00000 q^{98} +(2.81736 - 9.54267i) 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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