LMFDB - Embedded newform 390.2.bn.c.67.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [390,2,Mod(67,390)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(390, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 3, 1]))

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

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

chi := DirichletCharacter("390.67");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 390 = 2 \cdot 3 \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	390.bn (of order $12$, 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:	$3.11416567883$
Analytic rank:	$0$
Dimension:	$32$
Relative dimension:	$8$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			67.3
Character	$\chi$	$=$	390.67
Dual form			390.2.bn.c.163.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.500000 - 0.866025i) q^{2} +(-0.965926 - 0.258819i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(0.933504 - 2.03189i) q^{5} +(0.258819 + 0.965926i) q^{6} +(3.73901 + 2.15872i) q^{7} +1.00000 q^{8} +(0.866025 + 0.500000i) q^{9} +O(q^{10})$	\(q+(-0.500000 - 0.866025i) q^{2} +(-0.965926 - 0.258819i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(0.933504 - 2.03189i) q^{5} +(0.258819 + 0.965926i) q^{6} +(3.73901 + 2.15872i) q^{7} +1.00000 q^{8} +(0.866025 + 0.500000i) q^{9} +(-2.22642 + 0.207506i) q^{10} +(-0.253956 + 0.947777i) q^{11} +(0.707107 - 0.707107i) q^{12} +(-0.807191 + 3.51404i) q^{13} -4.31743i q^{14} +(-1.42759 + 1.72104i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(0.0648893 + 0.242170i) q^{17} -1.00000i q^{18} +(5.82639 - 1.56118i) q^{19} +(1.29291 + 1.82438i) q^{20} +(-3.05289 - 3.05289i) q^{21} +(0.947777 - 0.253956i) q^{22} +(1.59379 - 5.94811i) q^{23} +(-0.965926 - 0.258819i) q^{24} +(-3.25714 - 3.79355i) q^{25} +(3.44684 - 1.05797i) q^{26} +(-0.707107 - 0.707107i) q^{27} +(-3.73901 + 2.15872i) q^{28} +(4.54836 - 2.62600i) q^{29} +(2.20426 + 0.375804i) q^{30} +(5.70068 - 5.70068i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(0.490605 - 0.849753i) q^{33} +(0.177281 - 0.177281i) q^{34} +(7.87665 - 5.58208i) q^{35} +(-0.866025 + 0.500000i) q^{36} +(-5.47806 + 3.16276i) q^{37} +(-4.26521 - 4.26521i) q^{38} +(1.68919 - 3.18538i) q^{39} +(0.933504 - 2.03189i) q^{40} +(-1.46885 - 0.393577i) q^{41} +(-1.11743 + 4.17032i) q^{42} +(-5.81829 + 1.55901i) q^{43} +(-0.693821 - 0.693821i) q^{44} +(1.82438 - 1.29291i) q^{45} +(-5.94811 + 1.59379i) q^{46} +11.6032i q^{47} +(0.258819 + 0.965926i) q^{48} +(5.82012 + 10.0807i) q^{49} +(-1.65674 + 4.71754i) q^{50} -0.250713i q^{51} +(-2.63965 - 2.45607i) q^{52} +(0.0937912 - 0.0937912i) q^{53} +(-0.258819 + 0.965926i) q^{54} +(1.68871 + 1.40076i) q^{55} +(3.73901 + 2.15872i) q^{56} -6.03192 q^{57} +(-4.54836 - 2.62600i) q^{58} +(-2.68596 - 10.0241i) q^{59} +(-0.776675 - 2.09685i) q^{60} +(-1.33154 + 2.30629i) q^{61} +(-7.78727 - 2.08659i) q^{62} +(2.15872 + 3.73901i) q^{63} +1.00000 q^{64} +(6.38661 + 4.92049i) q^{65} -0.981211 q^{66} +(0.816980 + 1.41505i) q^{67} +(-0.242170 - 0.0648893i) q^{68} +(-3.07897 + 5.33293i) q^{69} +(-8.77254 - 4.03034i) q^{70} +(1.51836 + 5.66659i) q^{71} +(0.866025 + 0.500000i) q^{72} -5.97454 q^{73} +(5.47806 + 3.16276i) q^{74} +(2.16431 + 4.50730i) q^{75} +(-1.56118 + 5.82639i) q^{76} +(-2.99553 + 2.99553i) q^{77} +(-3.60321 + 0.129813i) q^{78} -6.94564i q^{79} +(-2.22642 + 0.207506i) q^{80} +(0.500000 + 0.866025i) q^{81} +(0.393577 + 1.46885i) q^{82} -12.2768i q^{83} +(4.17032 - 1.11743i) q^{84} +(0.552637 + 0.0942191i) q^{85} +(4.25928 + 4.25928i) q^{86} +(-5.07303 + 1.35932i) q^{87} +(-0.253956 + 0.947777i) q^{88} +(8.78296 + 2.35339i) q^{89} +(-2.03189 - 0.933504i) q^{90} +(-10.6039 + 11.3965i) q^{91} +(4.35432 + 4.35432i) q^{92} +(-6.98187 + 4.03099i) q^{93} +(10.0487 - 5.80162i) q^{94} +(2.26682 - 13.2959i) q^{95} +(0.707107 - 0.707107i) q^{96} +(-4.31640 + 7.47623i) q^{97} +(5.82012 - 10.0807i) q^{98} +(-0.693821 + 0.693821i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q - 16 q^{2} - 16 q^{4} - 12 q^{7} + 32 q^{8}+O(q^{10}) $ 32 * q - 16 * q^2 - 16 * q^4 - 12 * q^7 + 32 * q^8	$ 32 q - 16 q^{2} - 16 q^{4} - 12 q^{7} + 32 q^{8} - 4 q^{11} + 8 q^{13} - 4 q^{15} - 16 q^{16} - 4 q^{17} + 20 q^{19} + 8 q^{21} + 8 q^{22} - 16 q^{23} - 8 q^{25} - 4 q^{26} + 12 q^{28} + 24 q^{29} + 8 q^{30} + 12 q^{31} - 16 q^{32} - 16 q^{34} + 12 q^{35} - 24 q^{37} - 4 q^{38} - 20 q^{39} - 28 q^{41} - 16 q^{42} + 4 q^{43} - 4 q^{44} - 4 q^{46} + 20 q^{49} - 8 q^{50} - 4 q^{52} - 4 q^{53} + 68 q^{55} - 12 q^{56} + 16 q^{57} - 24 q^{58} + 36 q^{59} - 4 q^{60} - 28 q^{61} - 48 q^{62} + 32 q^{64} - 28 q^{65} - 28 q^{67} + 20 q^{68} - 20 q^{69} - 24 q^{70} - 4 q^{71} - 48 q^{73} + 24 q^{74} + 24 q^{75} - 16 q^{76} + 20 q^{77} + 4 q^{78} + 16 q^{81} + 44 q^{82} + 8 q^{84} + 64 q^{85} - 8 q^{86} + 20 q^{87} - 4 q^{88} - 16 q^{89} - 40 q^{91} + 20 q^{92} - 24 q^{93} - 24 q^{94} + 68 q^{95} + 8 q^{97} + 20 q^{98} - 4 q^{99}+O(q^{100}) $ 32 * q - 16 * q^2 - 16 * q^4 - 12 * q^7 + 32 * q^8 - 4 * q^11 + 8 * q^13 - 4 * q^15 - 16 * q^16 - 4 * q^17 + 20 * q^19 + 8 * q^21 + 8 * q^22 - 16 * q^23 - 8 * q^25 - 4 * q^26 + 12 * q^28 + 24 * q^29 + 8 * q^30 + 12 * q^31 - 16 * q^32 - 16 * q^34 + 12 * q^35 - 24 * q^37 - 4 * q^38 - 20 * q^39 - 28 * q^41 - 16 * q^42 + 4 * q^43 - 4 * q^44 - 4 * q^46 + 20 * q^49 - 8 * q^50 - 4 * q^52 - 4 * q^53 + 68 * q^55 - 12 * q^56 + 16 * q^57 - 24 * q^58 + 36 * q^59 - 4 * q^60 - 28 * q^61 - 48 * q^62 + 32 * q^64 - 28 * q^65 - 28 * q^67 + 20 * q^68 - 20 * q^69 - 24 * q^70 - 4 * q^71 - 48 * q^73 + 24 * q^74 + 24 * q^75 - 16 * q^76 + 20 * q^77 + 4 * q^78 + 16 * q^81 + 44 * q^82 + 8 * q^84 + 64 * q^85 - 8 * q^86 + 20 * q^87 - 4 * q^88 - 16 * q^89 - 40 * q^91 + 20 * q^92 - 24 * q^93 - 24 * q^94 + 68 * q^95 + 8 * q^97 + 20 * q^98 - 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/390\mathbb{Z}\right)^\times$.

$n$	$131$	$157$	$301$
$\chi(n)$	$1$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{1}{12}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.500000	−	0.866025i	−0.353553	−	0.612372i
$2$	−0.500000	−	0.866025i	−0.353553	−	0.612372i
$3$	−0.965926	−	0.258819i	−0.557678	−	0.149429i
$3$	−0.965926	−	0.258819i	−0.557678	−	0.149429i
$4$	−0.500000	+	0.866025i	−0.250000	+	0.433013i
$5$	0.933504	−	2.03189i	0.417476	−	0.908688i
$5$	0.933504	−	2.03189i	0.417476	−	0.908688i
$6$	0.258819	+	0.965926i	0.105662	+	0.394338i
$7$	3.73901	+	2.15872i	1.41321	+	0.815918i	0.995690	−	0.0927481i	$-0.0295651\pi$
$7$	3.73901	+	2.15872i	1.41321	+	0.815918i	0.417523	+	0.908667i	$0.362898\pi$
$8$	1.00000			0.353553
$9$	0.866025	+	0.500000i	0.288675	+	0.166667i
$10$	−2.22642	+	0.207506i	−0.704055	+	0.0656191i
$11$	−0.253956	+	0.947777i	−0.0765706	+	0.285765i	−0.993585	−	0.113089i	$-0.963925\pi$
$11$	−0.253956	+	0.947777i	−0.0765706	+	0.285765i	0.917014	+	0.398854i	$0.130592\pi$
$12$	0.707107	−	0.707107i	0.204124	−	0.204124i
$13$	−0.807191	+	3.51404i	−0.223874	+	0.974618i
$13$	−0.807191	+	3.51404i	−0.223874	+	0.974618i
$14$		−	4.31743i		−	1.15388i
$15$	−1.42759	+	1.72104i	−0.368601	+	0.444372i
$16$	−0.500000	−	0.866025i	−0.125000	−	0.216506i
$17$	0.0648893	+	0.242170i	0.0157380	+	0.0587349i	0.973348	−	0.229332i	$-0.0736541\pi$
$17$	0.0648893	+	0.242170i	0.0157380	+	0.0587349i	−0.957610	+	0.288067i	$0.906987\pi$
$18$		−	1.00000i		−	0.235702i
$19$	5.82639	−	1.56118i	1.33667	−	0.358159i	0.481470	−	0.876463i	$-0.340103\pi$
$19$	5.82639	−	1.56118i	1.33667	−	0.358159i	0.855196	+	0.518304i	$0.173437\pi$
$20$	1.29291	+	1.82438i	0.289105	+	0.407944i
$21$	−3.05289	−	3.05289i	−0.666195	−	0.666195i
$22$	0.947777	−	0.253956i	0.202067	−	0.0541436i
$23$	1.59379	−	5.94811i	0.332328	−	1.24027i	−0.574408	−	0.818569i	$-0.694768\pi$
$23$	1.59379	−	5.94811i	0.332328	−	1.24027i	0.906737	−	0.421698i	$-0.138566\pi$
$24$	−0.965926	−	0.258819i	−0.197169	−	0.0528312i
$25$	−3.25714	−	3.79355i	−0.651428	−	0.758710i
$26$	3.44684	−	1.05797i	0.675981	−	0.207485i
$27$	−0.707107	−	0.707107i	−0.136083	−	0.136083i
$28$	−3.73901	+	2.15872i	−0.706606	+	0.407959i
$29$	4.54836	−	2.62600i	0.844609	−	0.487635i	−0.0142194	−	0.999899i	$-0.504526\pi$
$29$	4.54836	−	2.62600i	0.844609	−	0.487635i	0.858828	+	0.512264i	$0.171193\pi$
$30$	2.20426	+	0.375804i	0.402441	+	0.0686122i
$31$	5.70068	−	5.70068i	1.02387	−	1.02387i	0.0241637	−	0.999708i	$-0.492308\pi$
$31$	5.70068	−	5.70068i	1.02387	−	1.02387i	0.999708	−	0.0241637i	$-0.00769229\pi$
$32$	−0.500000	+	0.866025i	−0.0883883	+	0.153093i
$33$	0.490605	−	0.849753i	0.0854034	−	0.147923i
$34$	0.177281	−	0.177281i	0.0304034	−	0.0304034i
$35$	7.87665	−	5.58208i	1.33140	−	0.943543i
$36$	−0.866025	+	0.500000i	−0.144338	+	0.0833333i
$37$	−5.47806	+	3.16276i	−0.900588	+	0.519955i	−0.877391	−	0.479776i	$-0.840718\pi$
$37$	−5.47806	+	3.16276i	−0.900588	+	0.519955i	−0.0231972	+	0.999731i	$0.507385\pi$
$38$	−4.26521	−	4.26521i	−0.691909	−	0.691909i
$39$	1.68919	−	3.18538i	0.270486	−	0.510069i
$40$	0.933504	−	2.03189i	0.147600	−	0.321270i
$41$	−1.46885	−	0.393577i	−0.229396	−	0.0614663i	0.142290	−	0.989825i	$-0.454553\pi$
$41$	−1.46885	−	0.393577i	−0.229396	−	0.0614663i	−0.371686	+	0.928359i	$0.621220\pi$
$42$	−1.11743	+	4.17032i	−0.172424	+	0.643495i
$43$	−5.81829	+	1.55901i	−0.887281	+	0.237746i	−0.673546	−	0.739146i	$-0.735230\pi$
$43$	−5.81829	+	1.55901i	−0.887281	+	0.237746i	−0.213735	+	0.976892i	$0.568563\pi$
$44$	−0.693821	−	0.693821i	−0.104597	−	0.104597i
$45$	1.82438	−	1.29291i	0.271963	−	0.192736i
$46$	−5.94811	+	1.59379i	−0.877001	+	0.234992i
$47$			11.6032i			1.69251i	0.532780	+	0.846254i	$0.321147\pi$
$47$			11.6032i			1.69251i	−0.532780	+	0.846254i	$0.678853\pi$
$48$	0.258819	+	0.965926i	0.0373573	+	0.139419i
$49$	5.82012	+	10.0807i	0.831446	+	1.44011i
$50$	−1.65674	+	4.71754i	−0.234299	+	0.667161i
$51$		−	0.250713i		−	0.0351069i
$52$	−2.63965	−	2.45607i	−0.366053	−	0.340595i
$53$	0.0937912	−	0.0937912i	0.0128832	−	0.0128832i	−0.700636	−	0.713519i	$-0.747100\pi$
$53$	0.0937912	−	0.0937912i	0.0128832	−	0.0128832i	0.713519	+	0.700636i	$0.247100\pi$
$54$	−0.258819	+	0.965926i	−0.0352208	+	0.131446i
$55$	1.68871	+	1.40076i	0.227705	+	0.188879i
$56$	3.73901	+	2.15872i	0.499646	+	0.288471i
$57$	−6.03192			−0.798948
$58$	−4.54836	−	2.62600i	−0.597229	−	0.344810i
$59$	−2.68596	−	10.0241i	−0.349682	−	1.30503i	−0.887046	−	0.461681i	$-0.847246\pi$
$59$	−2.68596	−	10.0241i	−0.349682	−	1.30503i	0.537364	−	0.843351i	$-0.319420\pi$
$60$	−0.776675	−	2.09685i	−0.100268	−	0.270702i
$61$	−1.33154	+	2.30629i	−0.170486	+	0.295290i	−0.938590	−	0.345035i	$-0.887867\pi$
$61$	−1.33154	+	2.30629i	−0.170486	+	0.295290i	0.768104	+	0.640325i	$0.221200\pi$
$62$	−7.78727	−	2.08659i	−0.988984	−	0.264998i
$63$	2.15872	+	3.73901i	0.271973	+	0.471071i
$64$	1.00000			0.125000
$65$	6.38661	+	4.92049i	0.792162	+	0.610311i
$66$	−0.981211			−0.120779
$67$	0.816980	+	1.41505i	0.0998099	+	0.172876i	0.911606	−	0.411065i	$-0.134843\pi$
$67$	0.816980	+	1.41505i	0.0998099	+	0.172876i	−0.811796	+	0.583941i	$0.801510\pi$
$68$	−0.242170	−	0.0648893i	−0.0293675	−	0.00786899i
$69$	−3.07897	+	5.33293i	−0.370664	+	0.642009i
$70$	−8.77254	−	4.03034i	−1.04852	−	0.481718i
$71$	1.51836	+	5.66659i	0.180196	+	0.672501i	0.995608	+	0.0936199i	$0.0298438\pi$
$71$	1.51836	+	5.66659i	0.180196	+	0.672501i	−0.815412	+	0.578881i	$0.803490\pi$
$72$	0.866025	+	0.500000i	0.102062	+	0.0589256i
$73$	−5.97454			−0.699266			−0.349633	−	0.936887i	$-0.613694\pi$
$73$	−5.97454			−0.699266			−0.349633	+	0.936887i	$0.613694\pi$
$74$	5.47806	+	3.16276i	0.636812	+	0.367664i
$75$	2.16431	+	4.50730i	0.249913	+	0.520458i
$76$	−1.56118	+	5.82639i	−0.179079	+	0.668333i
$77$	−2.99553	+	2.99553i	−0.341372	+	0.341372i
$78$	−3.60321	+	0.129813i	−0.407984	+	0.0146984i
$79$		−	6.94564i		−	0.781445i	−0.920508	−	0.390723i	$-0.872225\pi$
$79$		−	6.94564i		−	0.781445i	0.920508	−	0.390723i	$-0.127775\pi$
$80$	−2.22642	+	0.207506i	−0.248921	+	0.0231999i
$81$	0.500000	+	0.866025i	0.0555556	+	0.0962250i
$82$	0.393577	+	1.46885i	0.0434633	+	0.162207i
$83$		−	12.2768i		−	1.34755i	−0.738937	−	0.673774i	$-0.764672\pi$
$83$		−	12.2768i		−	1.34755i	0.738937	−	0.673774i	$-0.235328\pi$
$84$	4.17032	−	1.11743i	0.455019	−	0.121922i
$85$	0.552637	+	0.0942191i	0.0599419	+	0.0102195i
$86$	4.25928	+	4.25928i	0.459290	+	0.459290i
$87$	−5.07303	+	1.35932i	−0.543886	+	0.145734i
$88$	−0.253956	+	0.947777i	−0.0270718	+	0.101033i
$89$	8.78296	+	2.35339i	0.930991	+	0.249458i	0.692277	−	0.721632i	$-0.256607\pi$
$89$	8.78296	+	2.35339i	0.930991	+	0.249458i	0.238714	+	0.971090i	$0.423274\pi$
$90$	−2.03189	−	0.933504i	−0.214180	−	0.0984000i
$91$	−10.6039	+	11.3965i	−1.11159	+	1.19468i
$92$	4.35432	+	4.35432i	0.453969	+	0.453969i
$93$	−6.98187	+	4.03099i	−0.723987	+	0.417994i
$94$	10.0487	−	5.80162i	1.03645	−	0.598392i
$95$	2.26682	−	13.2959i	0.232571	−	1.36413i
$96$	0.707107	−	0.707107i	0.0721688	−	0.0721688i
$97$	−4.31640	+	7.47623i	−0.438264	+	0.759096i	−0.997556	−	0.0698750i	$-0.977740\pi$
$97$	−4.31640	+	7.47623i	−0.438264	+	0.759096i	0.559291	+	0.828971i	$0.311073\pi$
$98$	5.82012	−	10.0807i	0.587921	−	1.01831i
$99$	−0.693821	+	0.693821i	−0.0697316	+	0.0697316i
$100$	4.91388	−	0.923990i	0.491388	−	0.0923990i
$101$	−8.23593	+	4.75501i	−0.819505	+	0.473142i	−0.850246	−	0.526386i	$-0.823547\pi$
$101$	−8.23593	+	4.75501i	−0.819505	+	0.473142i	0.0307406	+	0.999527i	$0.490213\pi$
$102$	−0.217124	+	0.125357i	−0.0214985	+	0.0124121i
$103$	7.87230	+	7.87230i	0.775681	+	0.775681i	0.979093	−	0.203412i	$-0.0652031\pi$
$103$	7.87230	+	7.87230i	0.775681	+	0.775681i	−0.203412	+	0.979093i	$0.565203\pi$
$104$	−0.807191	+	3.51404i	−0.0791516	+	0.344579i
$105$	−9.05301	+	3.35324i	−0.883483	+	0.327243i
$106$	−0.128121	−	0.0343300i	−0.0124442	−	0.00333442i
$107$	0.502738	−	1.87624i	0.0486015	−	0.181383i	−0.937358	−	0.348367i	$-0.886736\pi$
$107$	0.502738	−	1.87624i	0.0486015	−	0.181383i	0.985960	+	0.166984i	$0.0534028\pi$
$108$	0.965926	−	0.258819i	0.0929463	−	0.0249049i
$109$	−1.03973	−	1.03973i	−0.0995883	−	0.0995883i	0.655557	−	0.755145i	$-0.272434\pi$
$109$	−1.03973	−	1.03973i	−0.0995883	−	0.0995883i	−0.755145	+	0.655557i	$0.772434\pi$
$110$	0.368743	−	2.16285i	0.0351583	−	0.206219i
$111$	6.10999	−	1.63717i	0.579934	−	0.155393i
$112$		−	4.31743i		−	0.407959i
$113$	4.51312	+	16.8432i	0.424559	+	1.58448i	0.764884	+	0.644168i	$0.222796\pi$
$113$	4.51312	+	16.8432i	0.424559	+	1.58448i	−0.340325	+	0.940308i	$0.610537\pi$
$114$	3.01596	+	5.22380i	0.282471	+	0.489254i
$115$	−10.5981	−	8.79099i	−0.988277	−	0.819764i
$116$			5.25199i			0.487635i
$117$	−2.45607	+	2.63965i	−0.227063	+	0.244036i
$118$	−7.33818	+	7.33818i	−0.675534	+	0.675534i
$119$	−0.280155	+	1.04555i	−0.0256818	+	0.0958458i
$120$	−1.42759	+	1.72104i	−0.130320	+	0.157109i
$121$	8.69249	+	5.01861i	0.790227	+	0.456238i
$122$	2.66307			0.241103
$123$	1.31693	+	0.760332i	0.118744	+	0.0685568i
$124$	2.08659	+	7.78727i	0.187382	+	0.699317i
$125$	−10.7486	+	3.07685i	−0.961387	+	0.275202i
$126$	2.15872	−	3.73901i	0.192314	−	0.333097i
$127$	15.5272	+	4.16049i	1.37781	+	0.369184i	0.870326	−	0.492476i	$-0.163908\pi$
$127$	15.5272	+	4.16049i	1.37781	+	0.369184i	0.507487	+	0.861660i	$0.330575\pi$
$128$	−0.500000	−	0.866025i	−0.0441942	−	0.0765466i
$129$	6.02353			0.530343
$130$	1.06796	−	7.99121i	0.0936665	−	0.700876i
$131$	−13.0180			−1.13739			−0.568693	−	0.822550i	$-0.692551\pi$
$131$	−13.0180			−1.13739			−0.568693	+	0.822550i	$0.692551\pi$
$132$	0.490605	+	0.849753i	0.0427017	+	0.0739615i
$133$	25.1551	+	6.74028i	2.18122	+	0.584456i
$134$	0.816980	−	1.41505i	0.0705763	−	0.122242i
$135$	−2.09685	+	0.776675i	−0.180468	+	0.0668455i
$136$	0.0648893	+	0.242170i	0.00556421	+	0.0207659i
$137$	−10.4510	−	6.03388i	−0.892888	−	0.515509i	−0.0180019	−	0.999838i	$-0.505731\pi$
$137$	−10.4510	−	6.03388i	−0.892888	−	0.515509i	−0.874886	+	0.484329i	$0.839064\pi$
$138$	6.15794			0.524198
$139$	−17.5503	−	10.1327i	−1.48860	−	0.859444i	−0.488685	−	0.872460i	$-0.662523\pi$
$139$	−17.5503	−	10.1327i	−1.48860	−	0.859444i	−0.999915	+	0.0130166i	$0.995857\pi$
$140$	0.895893	+	9.61242i	0.0757168	+	0.812398i
$141$	3.00314	−	11.2079i	0.252910	−	0.943874i
$142$	4.14824	−	4.14824i	0.348112	−	0.348112i
$143$	−3.12553	−	1.65745i	−0.261370	−	0.138603i
$144$		−	1.00000i		−	0.0833333i
$145$	−1.08982	−	11.6931i	−0.0905046	−	0.971062i
$146$	2.98727	+	5.17410i	0.247228	+	0.428212i
$147$	−3.01272	−	11.2436i	−0.248485	−	0.927357i
$148$		−	6.32552i		−	0.519955i
$149$	−19.5168	+	5.22950i	−1.59887	+	0.428417i	−0.944703	−	0.327928i	$-0.893650\pi$
$149$	−19.5168	+	5.22950i	−1.59887	+	0.428417i	−0.654172	+	0.756346i	$0.726983\pi$
$150$	2.82128	−	4.12800i	0.230357	−	0.337050i
$151$	4.64718	+	4.64718i	0.378182	+	0.378182i	0.870446	−	0.492264i	$-0.163831\pi$
$151$	4.64718	+	4.64718i	0.378182	+	0.378182i	−0.492264	+	0.870446i	$0.663831\pi$
$152$	5.82639	−	1.56118i	0.472583	−	0.126628i
$153$	−0.0648893	+	0.242170i	−0.00524599	+	0.0195783i
$154$	4.09196	+	1.09644i	0.329740	+	0.0883535i
$155$	−6.26153	−	16.9047i	−0.502938	−	1.35782i
$156$	1.91403	+	3.05557i	0.153245	+	0.244641i
$157$	−0.132798	−	0.132798i	−0.0105984	−	0.0105984i	0.701788	−	0.712386i	$-0.252386\pi$
$157$	−0.132798	−	0.132798i	−0.0105984	−	0.0105984i	−0.712386	+	0.701788i	$0.752386\pi$
$158$	−6.01510	+	3.47282i	−0.478536	+	0.276283i
$159$	−0.114870	+	0.0663204i	−0.00910980	+	0.00525955i
$160$	1.29291	+	1.82438i	0.102214	+	0.144230i
$161$	18.7995	−	18.7995i	1.48161	−	1.48161i
$162$	0.500000	−	0.866025i	0.0392837	−	0.0680414i
$163$	11.5383	−	19.9849i	0.903749	−	1.56534i	0.0811619	−	0.996701i	$-0.474137\pi$
$163$	11.5383	−	19.9849i	0.903749	−	1.56534i	0.822587	−	0.568639i	$-0.192530\pi$
$164$	1.07527	−	1.07527i	0.0839646	−	0.0839646i
$165$	−1.26862	−	1.79010i	−0.0987621	−	0.139359i
$166$	−10.6320	+	6.13838i	−0.825202	+	0.476430i
$167$	−3.37173	+	1.94667i	−0.260912	+	0.150638i	−0.624750	−	0.780824i	$-0.714799\pi$
$167$	−3.37173	+	1.94667i	−0.260912	+	0.150638i	0.363839	+	0.931462i	$0.381466\pi$
$168$	−3.05289	−	3.05289i	−0.235535	−	0.235535i
$169$	−11.6969	−	5.67299i	−0.899760	−	0.436384i
$170$	−0.194723	−	0.525708i	−0.0149345	−	0.0403199i
$171$	5.82639	+	1.56118i	0.445555	+	0.119386i
$172$	1.55901	−	5.81829i	0.118873	−	0.443640i
$173$	−18.7121	+	5.01390i	−1.42266	+	0.381200i	−0.886425	−	0.462872i	$-0.846819\pi$
$173$	−18.7121	+	5.01390i	−1.42266	+	0.381200i	−0.536231	+	0.844071i	$0.680152\pi$
$174$	3.71372	+	3.71372i	0.281536	+	0.281536i
$175$	−3.98927	−	21.2154i	−0.301560	−	1.60373i
$176$	0.947777	−	0.253956i	0.0714414	−	0.0191427i
$177$			10.3778i			0.780040i
$178$	−2.35339	−	8.78296i	−0.176394	−	0.658310i
$179$	7.75700	+	13.4355i	0.579786	+	1.00422i	0.995504	+	0.0947246i	$0.0301970\pi$
$179$	7.75700	+	13.4355i	0.579786	+	1.00422i	−0.415718	+	0.909494i	$0.636470\pi$
$180$	0.207506	+	2.22642i	0.0154666	+	0.165947i
$181$		−	8.76956i		−	0.651836i	−0.945398	−	0.325918i	$-0.894327\pi$
$181$		−	8.76956i		−	0.651836i	0.945398	−	0.325918i	$-0.105673\pi$
$182$	15.1716	+	3.48499i	1.12460	+	0.258325i
$183$	1.88308	−	1.88308i	0.139201	−	0.139201i
$184$	1.59379	−	5.94811i	0.117496	−	0.438501i
$185$	1.31258	+	14.0833i	0.0965031	+	1.03542i
$186$	6.98187	+	4.03099i	0.511936	+	0.295566i
$187$	−0.246002			−0.0179895
$188$	−10.0487	−	5.80162i	−0.732877	−	0.423127i
$189$	−1.11743	−	4.17032i	−0.0812814	−	0.303346i
$190$	−12.6480	+	4.68484i	−0.917585	+	0.339874i
$191$	−8.10669	+	14.0412i	−0.586580	+	1.01599i	0.408097	+	0.912939i	$0.366193\pi$
$191$	−8.10669	+	14.0412i	−0.586580	+	1.01599i	−0.994676	+	0.103047i	$0.967141\pi$
$192$	−0.965926	−	0.258819i	−0.0697097	−	0.0186787i
$193$	−1.88213	−	3.25995i	−0.135479	−	0.234656i	0.790301	−	0.612718i	$-0.209924\pi$
$193$	−1.88213	−	3.25995i	−0.135479	−	0.234656i	−0.925780	+	0.378062i	$0.876591\pi$
$194$	8.63281			0.619799
$195$	−4.89548	−	6.40580i	−0.350572	−	0.458729i
$196$	−11.6402			−0.831446
$197$	−8.62601	−	14.9407i	−0.614578	−	1.06448i	−0.990458	−	0.137812i	$-0.955993\pi$
$197$	−8.62601	−	14.9407i	−0.614578	−	1.06448i	0.375881	−	0.926668i	$-0.377340\pi$
$198$	0.947777	+	0.253956i	0.0673556	+	0.0180479i
$199$	−2.03325	+	3.52168i	−0.144133	+	0.249646i	−0.929049	−	0.369956i	$-0.879373\pi$
$199$	−2.03325	+	3.52168i	−0.144133	+	0.249646i	0.784916	+	0.619602i	$0.212706\pi$
$200$	−3.25714	−	3.79355i	−0.230315	−	0.268245i
$201$	−0.422900	−	1.57828i	−0.0298290	−	0.111324i
$202$	8.23593	+	4.75501i	0.579478	+	0.334562i
$203$	22.6751			1.59148
$204$	0.217124	+	0.125357i	0.0152017	+	0.00877671i
$205$	−2.17088	+	2.61713i	−0.151621	+	0.182788i
$206$	2.88146	−	10.7538i	0.200761	−	0.749251i
$207$	4.35432	−	4.35432i	0.302646	−	0.302646i
$208$	3.44684	−	1.05797i	0.238995	−	0.0733570i
$209$			5.91859i			0.409397i
$210$	7.43050	+	6.16351i	0.512753	+	0.425323i
$211$	6.13003	+	10.6175i	0.422009	+	0.730941i	0.996136	−	0.0878253i	$-0.0279917\pi$
$211$	6.13003	+	10.6175i	0.422009	+	0.730941i	−0.574127	+	0.818766i	$0.694658\pi$
$212$	0.0343300	+	0.128121i	0.00235779	+	0.00879940i
$213$		−	5.86649i		−	0.401965i
$214$	−1.87624	+	0.502738i	−0.128257	+	0.0343665i
$215$	−2.26367	+	13.2774i	−0.154381	+	0.905515i
$216$	−0.707107	−	0.707107i	−0.0481125	−	0.0481125i
$217$	33.6210	−	9.00873i	2.28234	−	0.611552i
$218$	−0.380568	+	1.42030i	−0.0257753	+	0.0961949i
$219$	5.77096	+	1.54632i	0.389965	+	0.104491i
$220$	−2.05745	+	0.762082i	−0.138713	+	0.0513795i
$221$	−0.903373	+	0.0325457i	−0.0607674	+	0.00218926i
$222$	−4.47282	−	4.47282i	−0.300196	−	0.300196i
$223$	−17.7315	+	10.2373i	−1.18739	+	0.685540i	−0.957712	−	0.287727i	$-0.907100\pi$
$223$	−17.7315	+	10.2373i	−1.18739	+	0.685540i	−0.229677	+	0.973267i	$0.573767\pi$
$224$	−3.73901	+	2.15872i	−0.249823	+	0.144235i
$225$	−0.923990	−	4.91388i	−0.0615993	−	0.327592i
$226$	12.3301	−	12.3301i	0.820185	−	0.820185i
$227$	−1.65016	+	2.85816i	−0.109525	+	0.189703i	−0.915578	−	0.402141i	$-0.868266\pi$
$227$	−1.65016	+	2.85816i	−0.109525	+	0.189703i	0.806053	+	0.591843i	$0.201600\pi$
$228$	3.01596	−	5.22380i	0.199737	−	0.345955i
$229$	17.3167	−	17.3167i	1.14432	−	1.14432i	0.156670	−	0.987651i	$-0.449924\pi$
$229$	17.3167	−	17.3167i	1.14432	−	1.14432i	0.987651	−	0.156670i	$-0.0500758\pi$
$230$	−2.31418	+	13.5737i	−0.152592	+	0.895024i
$231$	3.66875	−	2.11816i	0.241386	−	0.139364i
$232$	4.54836	−	2.62600i	0.298614	−	0.172405i
$233$	−12.9644	−	12.9644i	−0.849326	−	0.849326i	0.140723	−	0.990049i	$-0.455057\pi$
$233$	−12.9644	−	12.9644i	−0.849326	−	0.849326i	−0.990049	+	0.140723i	$0.955057\pi$
$234$	3.51404	+	0.807191i	0.229720	+	0.0527677i
$235$	23.5765	+	10.8317i	1.53796	+	0.706581i
$236$	10.0241	+	2.68596i	0.652516	+	0.174841i
$237$	−1.79766	+	6.70897i	−0.116771	+	0.435795i
$238$	1.04555	−	0.280155i	0.0677732	−	0.0181598i
$239$	−6.55066	−	6.55066i	−0.423727	−	0.423727i	0.462758	−	0.886485i	$-0.346860\pi$
$239$	−6.55066	−	6.55066i	−0.423727	−	0.423727i	−0.886485	+	0.462758i	$0.846860\pi$
$240$	2.20426	+	0.375804i	0.142285	+	0.0242581i
$241$	−19.8285	+	5.31304i	−1.27727	+	0.342243i	−0.832811	−	0.553557i	$-0.813270\pi$
$241$	−19.8285	+	5.31304i	−1.27727	+	0.342243i	−0.444457	+	0.895800i	$0.646603\pi$
$242$		−	10.0372i		−	0.645217i
$243$	−0.258819	−	0.965926i	−0.0166032	−	0.0619642i
$244$	−1.33154	−	2.30629i	−0.0852429	−	0.147645i
$245$	25.9161	−	2.41542i	1.65572	−	0.154315i
$246$		−	1.52066i		−	0.0969540i
$247$	0.783020	+	21.7343i	0.0498224	+	1.38292i
$248$	5.70068	−	5.70068i	0.361993	−	0.361993i
$249$	−3.17746	+	11.8584i	−0.201363	+	0.751498i
$250$	8.03894	+	7.77016i	0.508427	+	0.491428i
$251$	−3.58775	−	2.07139i	−0.226457	−	0.130745i	0.382480	−	0.923964i	$-0.375070\pi$
$251$	−3.58775	−	2.07139i	−0.226457	−	0.130745i	−0.608936	+	0.793219i	$0.708404\pi$
$252$	−4.31743			−0.271973
$253$	5.23273	+	3.02112i	0.328979	+	0.189936i
$254$	−4.16049	−	15.5272i	−0.261052	−	0.974261i
$255$	−0.509421	−	0.234042i	−0.0319012	−	0.0146563i
$256$	−0.500000	+	0.866025i	−0.0312500	+	0.0541266i
$257$	−11.3495	−	3.04108i	−0.707960	−	0.189697i	−0.113166	−	0.993576i	$-0.536099\pi$
$257$	−11.3495	−	3.04108i	−0.707960	−	0.189697i	−0.594793	+	0.803879i	$0.702766\pi$
$258$	−3.01177	−	5.21653i	−0.187504	−	0.324767i
$259$	−27.3100			−1.69696
$260$	−7.45457	+	3.07072i	−0.462313	+	0.190438i
$261$	5.25199			0.325090
$262$	6.50899	+	11.2739i	0.402127	+	0.696504i
$263$	12.1445	+	3.25412i	0.748864	+	0.200657i	0.613014	−	0.790072i	$-0.289957\pi$
$263$	12.1445	+	3.25412i	0.748864	+	0.200657i	0.135850	+	0.990729i	$0.456624\pi$
$264$	0.490605	−	0.849753i	0.0301947	−	0.0522987i
$265$	−0.103019	−	0.278128i	−0.00632839	−	0.0170852i
$266$	−6.74028	−	25.1551i	−0.413273	−	1.54236i
$267$	−7.87458	−	4.54639i	−0.481917	−	0.278235i
$268$	−1.63396			−0.0998099
$269$	3.05760	+	1.76530i	0.186425	+	0.107633i	0.590308	−	0.807178i	$-0.299006\pi$
$269$	3.05760	+	1.76530i	0.186425	+	0.107633i	−0.403883	+	0.914811i	$0.632340\pi$
$270$	1.72104	+	1.42759i	0.104739	+	0.0868802i
$271$	5.37310	−	20.0527i	0.326393	−	1.21811i	−0.586512	−	0.809941i	$-0.699499\pi$
$271$	5.37310	−	20.0527i	0.326393	−	1.21811i	0.912904	−	0.408173i	$-0.133834\pi$
$272$	0.177281	−	0.177281i	0.0107492	−	0.0107492i
$273$	13.1922	−	8.26369i	0.798429	−	0.500141i
$274$			12.0678i			0.729040i
$275$	4.42261	−	2.12365i	0.266693	−	0.128061i
$276$	−3.07897	−	5.33293i	−0.185332	−	0.321005i
$277$	−3.43568	−	12.8221i	−0.206430	−	0.770407i	−0.989009	−	0.147856i	$-0.952763\pi$
$277$	−3.43568	−	12.8221i	−0.206430	−	0.770407i	0.782579	−	0.622551i	$-0.213904\pi$
$278$			20.2654i			1.21544i
$279$	7.78727	−	2.08659i	0.466212	−	0.124921i
$280$	7.87665	−	5.58208i	0.470720	−	0.333593i
$281$	4.19461	+	4.19461i	0.250230	+	0.250230i	0.821065	−	0.570835i	$-0.193380\pi$
$281$	4.19461	+	4.19461i	0.250230	+	0.250230i	−0.570835	+	0.821065i	$0.693380\pi$
$282$	−11.2079	+	3.00314i	−0.667419	+	0.178835i
$283$	−7.47405	+	27.8935i	−0.444286	+	1.65810i	0.273529	+	0.961864i	$0.411809\pi$
$283$	−7.47405	+	27.8935i	−0.444286	+	1.65810i	−0.717815	+	0.696234i	$0.754858\pi$
$284$	−5.66659	−	1.51836i	−0.336251	−	0.0900981i
$285$	−5.63083	+	12.2562i	−0.333541	+	0.725994i
$286$	0.127374	+	3.53551i	0.00753176	+	0.209059i
$287$	−4.64241	−	4.64241i	−0.274033	−	0.274033i
$288$	−0.866025	+	0.500000i	−0.0510310	+	0.0294628i
$289$	14.6680	−	8.46857i	0.862823	−	0.498151i
$290$	−9.58164	+	6.79038i	−0.562653	+	0.398745i
$291$	6.10432	−	6.10432i	0.357841	−	0.357841i
$292$	2.98727	−	5.17410i	0.174817	−	0.302791i
$293$	−1.71894	+	2.97729i	−0.100422	+	0.173935i	−0.911858	−	0.410505i	$-0.865352\pi$
$293$	−1.71894	+	2.97729i	−0.100422	+	0.173935i	0.811437	+	0.584440i	$0.198686\pi$
$294$	−8.23089	+	8.23089i	−0.480035	+	0.480035i
$295$	−22.8753	−	3.90001i	−1.33185	−	0.227067i
$296$	−5.47806	+	3.16276i	−0.318406	+	0.183832i
$297$	0.849753	−	0.490605i	0.0493077	−	0.0284678i
$298$	14.2873	+	14.2873i	0.827639	+	0.827639i
$299$	19.6154	+	10.4019i	1.13439	+	0.601557i
$300$	−4.98559	−	0.379300i	−0.287843	−	0.0218989i
$301$	−25.1201	−	6.73090i	−1.44790	−	0.387963i
$302$	1.70098	−	6.34816i	0.0978806	−	0.365296i
$303$	9.18598	−	2.46138i	0.527721	−	0.141402i
$304$	−4.26521	−	4.26521i	−0.244627	−	0.244627i
$305$	3.44313	+	4.85847i	0.197153	+	0.278195i
$306$	0.242170	−	0.0648893i	0.0138440	−	0.00370948i
$307$		−	4.77660i		−	0.272615i	−0.990667	−	0.136308i	$-0.956476\pi$
$307$		−	4.77660i		−	0.272615i	0.990667	−	0.136308i	$-0.0435235\pi$
$308$	−1.09644	−	4.09196i	−0.0624754	−	0.233161i
$309$	−5.56656	−	9.64156i	−0.316671	−	0.548489i
$310$	−11.5092	+	13.8750i	−0.653677	+	0.788048i
$311$		−	6.46479i		−	0.366585i	−0.983058	−	0.183292i	$-0.941324\pi$
$311$		−	6.46479i		−	0.366585i	0.983058	−	0.183292i	$-0.0586755\pi$
$312$	1.68919	−	3.18538i	0.0956313	−	0.180337i
$313$	−0.340926	+	0.340926i	−0.0192703	+	0.0192703i	−0.716676	−	0.697406i	$-0.754337\pi$
$313$	−0.340926	+	0.340926i	−0.0192703	+	0.0192703i	0.697406	+	0.716676i	$0.254337\pi$
$314$	−0.0486073	+	0.181405i	−0.00274307	+	0.0102373i
$315$	9.61242	−	0.895893i	0.541598	−	0.0504779i
$316$	6.01510	+	3.47282i	0.338376	+	0.195361i
$317$	−31.7795			−1.78491			−0.892456	−	0.451135i	$-0.851019\pi$
$317$	−31.7795			−1.78491			−0.892456	+	0.451135i	$0.851019\pi$
$318$	0.114870	+	0.0663204i	0.00644160	+	0.00371906i
$319$	1.33377	+	4.97772i	0.0746770	+	0.278699i
$320$	0.933504	−	2.03189i	0.0521845	−	0.113586i
$321$	−0.971215	+	1.68219i	−0.0542080	+	0.0938909i
$322$	−25.6806	−	6.88109i	−1.43112	−	0.383468i
$323$	0.756141	+	1.30968i	0.0420728	+	0.0728723i
$324$	−1.00000			−0.0555556
$325$	15.9598	−	8.38358i	0.885291	−	0.465038i
$326$	−23.0766			−1.27809
$327$	0.735202	+	1.27341i	0.0406567	+	0.0704195i
$328$	−1.46885	−	0.393577i	−0.0811036	−	0.0217316i
$329$	−25.0481	+	43.3846i	−1.38095	+	2.39187i
$330$	−0.915964	+	1.99371i	−0.0504222	+	0.109750i
$331$	6.21296	+	23.1871i	0.341495	+	1.27448i	0.896653	+	0.442733i	$0.145991\pi$
$331$	6.21296	+	23.1871i	0.341495	+	1.27448i	−0.555158	+	0.831745i	$0.687342\pi$
$332$	10.6320	+	6.13838i	0.583506	+	0.336887i
$333$	−6.32552			−0.346637
$334$	3.37173	+	1.94667i	0.184493	+	0.106517i
$335$	3.63788	−	0.339056i	0.198758	−	0.0185246i
$336$	−1.11743	+	4.17032i	−0.0609610	+	0.227510i
$337$	3.96253	−	3.96253i	0.215853	−	0.215853i	−0.590895	−	0.806748i	$-0.701225\pi$
$337$	3.96253	−	3.96253i	0.215853	−	0.215853i	0.806748	+	0.590895i	$0.201225\pi$
$338$	0.935486	+	12.9663i	0.0508837	+	0.705274i
$339$		−	17.4374i		−	0.947068i
$340$	−0.357915	+	0.431488i	−0.0194107	+	0.0234007i
$341$	3.95525	+	6.85069i	0.214189	+	0.370986i
$342$	−1.56118	−	5.82639i	−0.0844188	−	0.315055i
$343$			20.0339i			1.08173i
$344$	−5.81829	+	1.55901i	−0.313701	+	0.0840559i
$345$	7.96169	+	11.2344i	0.428643	+	0.604842i
$346$	13.6982	+	13.6982i	0.736421	+	0.736421i
$347$	10.0184	−	2.68443i	0.537816	−	0.144107i	0.0203211	−	0.999794i	$-0.493531\pi$
$347$	10.0184	−	2.68443i	0.537816	−	0.144107i	0.517495	+	0.855686i	$0.326864\pi$
$348$	1.35932	−	5.07303i	0.0728669	−	0.271943i
$349$	−16.9988	−	4.55481i	−0.909924	−	0.243813i	−0.226651	−	0.973976i	$-0.572778\pi$
$349$	−16.9988	−	4.55481i	−0.909924	−	0.243813i	−0.683273	+	0.730163i	$0.739444\pi$
$350$	−16.3784	+	14.0625i	−0.875463	+	0.751672i
$351$	3.05557	−	1.91403i	0.163094	−	0.102163i
$352$	−0.693821	−	0.693821i	−0.0369808	−	0.0369808i
$353$	−14.5067	+	8.37544i	−0.772113	+	0.445780i	−0.833628	−	0.552326i	$-0.813740\pi$
$353$	−14.5067	+	8.37544i	−0.772113	+	0.445780i	0.0615147	+	0.998106i	$0.480407\pi$
$354$	8.98740	−	5.18888i	0.477675	−	0.275786i
$355$	12.9313	+	2.20465i	0.686321	+	0.117011i
$356$	−6.42957	+	6.42957i	−0.340767	+	0.340767i
$357$	0.541219	−	0.937418i	0.0286443	−	0.0496134i
$358$	7.75700	−	13.4355i	0.409970	−	0.710090i
$359$	14.4945	−	14.4945i	0.764989	−	0.764989i	−0.212231	−	0.977220i	$-0.568073\pi$
$359$	14.4945	−	14.4945i	0.764989	−	0.764989i	0.977220	+	0.212231i	$0.0680729\pi$
$360$	1.82438	−	1.29291i	0.0961534	−	0.0681426i
$361$	15.0551	−	8.69206i	0.792373	−	0.457477i
$362$	−7.59466	+	4.38478i	−0.399166	+	0.230459i
$363$	−7.09739	−	7.09739i	−0.372516	−	0.372516i
$364$	−4.56772	−	14.8815i	−0.239413	−	0.780003i
$365$	−5.57725	+	12.1396i	−0.291927	+	0.635415i
$366$	−2.57233	−	0.689254i	−0.134458	−	0.0360279i
$367$	4.56275	−	17.0284i	0.238174	−	0.888877i	−0.738519	−	0.674233i	$-0.764474\pi$
$367$	4.56275	−	17.0284i	0.238174	−	0.888877i	0.976692	−	0.214644i	$-0.0688591\pi$
$368$	−5.94811	+	1.59379i	−0.310067	+	0.0830821i
$369$	−1.07527	−	1.07527i	−0.0559764	−	0.0559764i
$370$	11.5402	−	8.17836i	0.599945	−	0.425173i
$371$	0.553155	−	0.148217i	0.0287184	−	0.00769506i
$372$		−	8.06197i		−	0.417994i
$373$	5.65883	+	21.1190i	0.293003	+	1.09350i	0.942790	+	0.333386i	$0.108191\pi$
$373$	5.65883	+	21.1190i	0.293003	+	1.09350i	−0.649787	+	0.760116i	$0.725142\pi$
$374$	0.123001	+	0.213044i	0.00636024	+	0.0110163i
$375$	11.1787	−	0.190058i	0.577267	−	0.00981455i
$376$			11.6032i			0.598392i
$377$	5.55645	+	18.1028i	0.286172	+	0.932340i
$378$	−3.05289	+	3.05289i	−0.157024	+	0.157024i
$379$	−6.71785	+	25.0713i	−0.345073	+	1.28783i	0.547455	+	0.836835i	$0.315597\pi$
$379$	−6.71785	+	25.0713i	−0.345073	+	1.28783i	−0.892527	+	0.450993i	$0.851070\pi$
$380$	10.3812	+	8.61110i	0.532545	+	0.441740i
$381$	−13.9213	−	8.03745i	−0.713208	−	0.411771i
$382$	16.2134			0.829549
$383$	−2.71448	−	1.56721i	−0.138704	−	0.0800806i	0.429042	−	0.903284i	$-0.358851\pi$
$383$	−2.71448	−	1.56721i	−0.138704	−	0.0800806i	−0.567746	+	0.823204i	$0.692184\pi$
$384$	0.258819	+	0.965926i	0.0132078	+	0.0492922i
$385$	3.29024	+	8.88291i	0.167686	+	0.452715i
$386$	−1.88213	+	3.25995i	−0.0957981	+	0.165927i
$387$	−5.81829	−	1.55901i	−0.295760	−	0.0792487i
$388$	−4.31640	−	7.47623i	−0.219132	−	0.379548i
$389$	12.4846			0.632996			0.316498	−	0.948593i	$-0.397493\pi$
$389$	12.4846			0.632996			0.316498	+	0.948593i	$0.397493\pi$
$390$	−3.09985	+	7.44251i	−0.156967	+	0.376866i
$391$	1.54388			0.0780771
$392$	5.82012	+	10.0807i	0.293960	+	0.509154i
$393$	12.5744	+	3.36930i	0.634295	+	0.169959i
$394$	−8.62601	+	14.9407i	−0.434572	+	0.752701i
$395$	−14.1128	−	6.48378i	−0.710090	−	0.326234i
$396$	−0.253956	−	0.947777i	−0.0127618	−	0.0476276i
$397$	12.8880	+	7.44091i	0.646832	+	0.373449i	0.787241	−	0.616645i	$-0.211509\pi$
$397$	12.8880	+	7.44091i	0.646832	+	0.373449i	−0.140409	+	0.990094i	$0.544842\pi$
$398$	4.06649			0.203835
$399$	−22.5534	−	13.0212i	−1.12908	−	0.651876i
$400$	−1.65674	+	4.71754i	−0.0828371	+	0.235877i
$401$	−1.10547	+	4.12568i	−0.0552047	+	0.206027i	−0.988019	−	0.154330i	$-0.950678\pi$
$401$	−1.10547	+	4.12568i	−0.0552047	+	0.206027i	0.932815	+	0.360356i	$0.117345\pi$
$402$	−1.15538	+	1.15538i	−0.0576253	+	0.0576253i
$403$	15.4308	+	24.6339i	0.768665	+	1.22710i
$404$		−	9.51003i		−	0.473142i
$405$	2.22642	−	0.207506i	0.110632	−	0.0103111i
$406$	−11.3376	−	19.6372i	−0.562674	−	0.974580i
$407$	−1.60640	−	5.99518i	−0.0796265	−	0.297170i
$408$		−	0.250713i		−	0.0124121i
$409$	−27.7723	+	7.44158i	−1.37325	+	0.367962i	−0.868666	−	0.495398i	$-0.835022\pi$
$409$	−27.7723	+	7.44158i	−1.37325	+	0.367962i	−0.504588	+	0.863360i	$0.668355\pi$
$410$	3.35194	+	0.571472i	0.165541	+	0.0282230i
$411$	8.53319	+	8.53319i	0.420911	+	0.420911i
$412$	−10.7538	+	2.88146i	−0.529800	+	0.141960i
$413$	11.5965	−	43.2786i	0.570624	−	2.12960i
$414$	−5.94811	−	1.59379i	−0.292334	−	0.0783306i
$415$	−24.9450	−	11.4604i	−1.22450	−	0.562569i
$416$	−2.63965	−	2.45607i	−0.129419	−	0.120419i
$417$	14.3298	+	14.3298i	0.701733	+	0.701733i
$418$	5.12565	−	2.95929i	0.250704	−	0.144744i
$419$	−24.0588	+	13.8903i	−1.17535	+	0.678587i	−0.954934	−	0.296819i	$-0.904074\pi$
$419$	−24.0588	+	13.8903i	−1.17535	+	0.678587i	−0.220414	+	0.975406i	$0.570741\pi$
$420$	1.62251	−	9.51676i	0.0791704	−	0.464370i
$421$	6.26836	−	6.26836i	0.305501	−	0.305501i	−0.537660	−	0.843162i	$-0.680692\pi$
$421$	6.26836	−	6.26836i	0.305501	−	0.305501i	0.843162	+	0.537660i	$0.180692\pi$
$422$	6.13003	−	10.6175i	0.298405	−	0.516853i
$423$	−5.80162	+	10.0487i	−0.282085	+	0.488585i
$424$	0.0937912	−	0.0937912i	0.00455490	−	0.00455490i
$425$	0.707332	−	1.03494i	0.0343106	−	0.0502021i
$426$	−5.08053	+	2.93325i	−0.246152	+	0.142116i
$427$	−9.95726	+	5.74882i	−0.481865	+	0.278205i
$428$	1.37351	+	1.37351i	0.0663909	+	0.0663909i
$429$	2.59005	+	2.40992i	0.125049	+	0.116352i
$430$	12.6304	−	4.67833i	0.609094	−	0.225609i
$431$	−21.1832	−	5.67602i	−1.02036	−	0.273404i	−0.290407	−	0.956903i	$-0.593791\pi$
$431$	−21.1832	−	5.67602i	−1.02036	−	0.273404i	−0.729951	+	0.683499i	$0.760457\pi$
$432$	−0.258819	+	0.965926i	−0.0124524	+	0.0464731i
$433$	9.55551	−	2.56039i	0.459209	−	0.123045i	−0.0217964	−	0.999762i	$-0.506939\pi$
$433$	9.55551	−	2.56039i	0.459209	−	0.123045i	0.481005	+	0.876718i	$0.340272\pi$
$434$	−24.6123	−	24.6123i	−1.18143	−	1.18143i
$435$	−1.97372	+	11.5768i	−0.0946327	+	0.555063i
$436$	1.42030	−	0.380568i	0.0680201	−	0.0182259i
$437$		−	37.1442i		−	1.77685i
$438$	−1.54632	−	5.77096i	−0.0738862	−	0.275747i
$439$	−10.6237	−	18.4008i	−0.507041	−	0.878220i	−0.999967	−	0.00814915i	$-0.997406\pi$
$439$	−10.6237	−	18.4008i	−0.507041	−	0.878220i	0.492926	−	0.870071i	$-0.335927\pi$
$440$	1.68871	+	1.40076i	0.0805060	+	0.0667788i
$441$			11.6402i			0.554297i
$442$	0.479872	+	0.766071i	0.0228252	+	0.0364383i
$443$	10.6445	−	10.6445i	0.505733	−	0.505733i	−0.407481	−	0.913214i	$-0.633593\pi$
$443$	10.6445	−	10.6445i	0.505733	−	0.505733i	0.913214	+	0.407481i	$0.133593\pi$
$444$	−1.63717	+	6.10999i	−0.0776965	+	0.289967i
$445$	12.9807	−	15.6491i	0.615346	−	0.741838i
$446$	17.7315	+	10.2373i	0.839611	+	0.484750i
$447$	20.2052			0.955675
$448$	3.73901	+	2.15872i	0.176652	+	0.101990i
$449$	2.80604	+	10.4723i	0.132425	+	0.494217i	0.999995	−	0.00309784i	$-0.000986075\pi$
$449$	2.80604	+	10.4723i	0.132425	+	0.494217i	−0.867570	+	0.497315i	$0.834319\pi$
$450$	−3.79355	+	3.25714i	−0.178830	+	0.153543i
$451$	0.746046	−	1.29219i	0.0351299	−	0.0608468i
$452$	−16.8432	−	4.51312i	−0.792238	−	0.212279i
$453$	−3.28605	−	5.69160i	−0.154392	−	0.267415i
$454$	3.30032			0.154892
$455$	13.2576	+	32.1846i	0.621528	+	1.50884i
$456$	−6.03192			−0.282471
$457$	−0.209182	−	0.362314i	−0.00978513	−	0.0169483i	0.861091	−	0.508450i	$-0.169781\pi$
$457$	−0.209182	−	0.362314i	−0.00978513	−	0.0169483i	−0.870877	+	0.491502i	$0.836448\pi$
$458$	−23.6551	−	6.33836i	−1.10533	−	0.296172i
$459$	0.125357	−	0.217124i	0.00585114	−	0.0101345i
$460$	12.9123	−	4.78272i	0.602037	−	0.222995i
$461$	−1.13502	−	4.23593i	−0.0528629	−	0.197287i	0.934444	−	0.356109i	$-0.115897\pi$
$461$	−1.13502	−	4.23593i	−0.0528629	−	0.197287i	−0.987307	+	0.158822i	$0.949230\pi$
$462$	−3.66875	−	2.11816i	−0.170686	−	0.0985456i
$463$	−32.8943			−1.52873			−0.764363	−	0.644786i	$-0.776946\pi$
$463$	−32.8943			−1.52873			−0.764363	+	0.644786i	$0.776946\pi$
$464$	−4.54836	−	2.62600i	−0.211152	−	0.121909i
$465$	1.67291	+	17.9493i	0.0775792	+	0.832380i
$466$	−4.74530	+	17.7097i	−0.219822	+	0.820386i
$467$	21.9530	−	21.9530i	1.01587	−	1.01587i	0.0159935	−	0.999872i	$-0.494909\pi$
$467$	21.9530	−	21.9530i	1.01587	−	1.01587i	0.999872	−	0.0159935i	$-0.00509109\pi$
$468$	−1.05797	−	3.44684i	−0.0489047	−	0.159330i
$469$			7.05451i			0.325747i
$470$	−2.40774	−	25.8337i	−0.111061	−	1.19162i
$471$	0.0939021	+	0.162643i	0.00432678	+	0.00749421i
$472$	−2.68596	−	10.0241i	−0.123631	−	0.461399i
$473$		−	5.91036i		−	0.271758i
$474$	6.70897	−	1.79766i	0.308153	−	0.0825694i
$475$	−24.8998	−	17.0177i	−1.14248	−	0.780828i
$476$	−0.765399	−	0.765399i	−0.0350820	−	0.0350820i
$477$	0.128121	−	0.0343300i	0.00586626	−	0.00157186i
$478$	−2.39771	+	8.94837i	−0.109669	+	0.409289i
$479$	8.40912	+	2.25322i	0.384222	+	0.102952i	0.445760	−	0.895153i	$-0.352934\pi$
$479$	8.40912	+	2.25322i	0.384222	+	0.102952i	−0.0615372	+	0.998105i	$0.519600\pi$
$480$	−0.776675	−	2.09685i	−0.0354502	−	0.0957076i
$481$	−6.69221	−	21.8031i	−0.305139	−	0.994134i
$482$	14.5155	+	14.5155i	0.661163	+	0.661163i
$483$	−23.0246	+	13.2932i	−1.04765	+	0.604864i
$484$	−8.69249	+	5.01861i	−0.395113	+	0.228119i
$485$	11.1615	+	15.7495i	0.506817	+	0.715150i
$486$	−0.707107	+	0.707107i	−0.0320750	+	0.0320750i
$487$	17.4561	−	30.2349i	0.791013	−	1.37007i	−0.134327	−	0.990937i	$-0.542887\pi$
$487$	17.4561	−	30.2349i	0.791013	−	1.37007i	0.925340	−	0.379138i	$-0.123779\pi$
$488$	−1.33154	+	2.30629i	−0.0602759	+	0.104401i
$489$	−16.3176	+	16.3176i	−0.737908	+	0.737908i
$490$	−15.0498	−	21.2362i	−0.679882	−	0.959356i
$491$	17.5605	−	10.1386i	0.792496	−	0.457548i	−0.0483445	−	0.998831i	$-0.515395\pi$
$491$	17.5605	−	10.1386i	0.792496	−	0.457548i	0.840841	+	0.541283i	$0.182061\pi$
$492$	−1.31693	+	0.760332i	−0.0593719	+	0.0342784i
$493$	0.931078	+	0.931078i	0.0419336	+	0.0419336i
$494$	18.4310	−	11.5453i	0.829248	−	0.519446i
$495$	0.762082	+	2.05745i	0.0342530	+	0.0924755i
$496$	−7.78727	−	2.08659i	−0.349659	−	0.0936908i
$497$	−6.55542	+	24.4652i	−0.294051	+	1.09741i
$498$	11.8584	−	3.17746i	0.531389	−	0.142385i
$499$	21.4901	+	21.4901i	0.962030	+	0.962030i	0.999305	−	0.0372755i	$-0.0118679\pi$
$499$	21.4901	+	21.4901i	0.962030	+	0.962030i	−0.0372755	+	0.999305i	$0.511868\pi$
$500$	2.70968	−	10.8470i	0.121181	−	0.485093i
$501$	3.76067	−	1.00767i	0.168014	−	0.0450193i
$502$			4.14277i			0.184901i
$503$	3.23782	+	12.0837i	0.144367	+	0.538786i	0.999783	+	0.0208434i	$0.00663515\pi$
$503$	3.23782	+	12.0837i	0.144367	+	0.538786i	−0.855416	+	0.517942i	$0.826698\pi$
$504$	2.15872	+	3.73901i	0.0961569	+	0.166549i
$505$	1.97339	+	21.1733i	0.0878146	+	0.942200i
$506$		−	6.04223i		−	0.268610i
$507$	9.83005	+	8.50707i	0.436568	+	0.377812i
$508$	−11.3667	+	11.3667i	−0.504314	+	0.504314i
$509$	9.79223	−	36.5451i	0.434033	−	1.61983i	−0.309338	−	0.950952i	$-0.600107\pi$
$509$	9.79223	−	36.5451i	0.434033	−	1.61983i	0.743370	−	0.668880i	$-0.233226\pi$
$510$	0.0520244	+	0.558192i	0.00230368	+	0.0247172i
$511$	−22.3388	−	12.8973i	−0.988212	−	0.570544i
$512$	1.00000			0.0441942
$513$	−5.22380	−	3.01596i	−0.230636	−	0.133158i
$514$	3.04108	+	11.3495i	0.134136	+	0.500603i
$515$	23.3445	−	8.64682i	1.02868	−	0.381024i
$516$	−3.01177	+	5.21653i	−0.132586	+	0.229645i
$517$	−10.9973	−	2.94672i	−0.483660	−	0.129596i
$518$	13.6550	+	23.6512i	0.599967	+	1.03917i
$519$	19.3722			0.850346
$520$	6.38661	+	4.92049i	0.280071	+	0.215778i
$521$	23.8093			1.04310			0.521552	−	0.853220i	$-0.325353\pi$
$521$	23.8093			1.04310			0.521552	+	0.853220i	$0.325353\pi$
$522$	−2.62600	−	4.54836i	−0.114937	−	0.199076i
$523$	−28.8308	−	7.72518i	−1.26068	−	0.337799i	−0.434228	−	0.900803i	$-0.642979\pi$
$523$	−28.8308	−	7.72518i	−1.26068	−	0.337799i	−0.826454	+	0.563004i	$0.809645\pi$
$524$	6.50899	−	11.2739i	0.284346	−	0.492503i
$525$	−1.63761	+	21.5250i	−0.0714709	+	0.939427i
$526$	−3.25412	−	12.1445i	−0.141886	−	0.529527i
$527$	1.75045	+	1.01062i	0.0762507	+	0.0440234i
$528$	−0.981211			−0.0427017
$529$	−12.9213	−	7.46010i	−0.561794	−	0.324352i
$530$	−0.189356	+	0.228281i	−0.00822511	+	0.00991588i
$531$	2.68596	−	10.0241i	0.116561	−	0.435011i
$532$	−18.4148	+	18.4148i	−0.798382	+	0.798382i
$533$	2.56868	−	4.84389i	0.111262	−	0.209812i
$534$			9.09278i			0.393483i
$535$	−3.34301	−	2.77299i	−0.144531	−	0.119887i
$536$	0.816980	+	1.41505i	0.0352881	+	0.0611209i
$537$	−4.01532	−	14.9854i	−0.173274	−	0.646667i
$538$		−	3.53061i		−	0.152215i
$539$	−11.0323	+	2.95611i	−0.475197	+	0.127329i
$540$	0.375804	−	2.20426i	0.0161720	−	0.0948563i
$541$	−13.9861	−	13.9861i	−0.601311	−	0.601311i	0.339350	−	0.940660i	$-0.389793\pi$
$541$	−13.9861	−	13.9861i	−0.601311	−	0.601311i	−0.940660	+	0.339350i	$0.889793\pi$
$542$	−20.0527	+	5.37310i	−0.861337	+	0.230794i
$543$	−2.26973	+	8.47074i	−0.0974034	+	0.363514i
$544$	−0.242170	−	0.0648893i	−0.0103830	−	0.00278211i
$545$	−3.08321	+	1.14203i	−0.132070	+	0.0489190i
$546$	−13.7527	−	7.29295i	−0.588560	−	0.312109i
$547$	23.0374	+	23.0374i	0.985009	+	0.985009i	0.999889	−	0.0148806i	$-0.00473683\pi$
$547$	23.0374	+	23.0374i	0.985009	+	0.985009i	−0.0148806	+	0.999889i	$0.504737\pi$
$548$	10.4510	−	6.03388i	0.446444	−	0.257755i
$549$	−2.30629	+	1.33154i	−0.0984301	+	0.0568286i
$550$	−4.05044	−	2.76827i	−0.172711	−	0.118039i
$551$	22.4009	−	22.4009i	0.954309	−	0.954309i
$552$	−3.07897	+	5.33293i	−0.131050	+	0.226985i
$553$	14.9937	−	25.9698i	0.637596	−	1.10435i
$554$	−9.38645	+	9.38645i	−0.398792	+	0.398792i
$555$	2.37716	−	13.9431i	0.100905	−	0.591852i
$556$	17.5503	−	10.1327i	0.744300	−	0.429722i
$557$	5.40702	−	3.12174i	0.229103	−	0.132272i	−0.381055	−	0.924552i	$-0.624439\pi$
$557$	5.40702	−	3.12174i	0.229103	−	0.132272i	0.610158	+	0.792280i	$0.291106\pi$
$558$	−5.70068	−	5.70068i	−0.241329	−	0.241329i
$559$	−0.781931	−	21.7041i	−0.0330722	−	0.917985i
$560$	−8.77254	−	4.03034i	−0.370708	−	0.170313i
$561$	0.237620	+	0.0636701i	0.0100323	+	0.00268815i
$562$	1.53534	−	5.72995i	0.0647642	−	0.241703i
$563$	22.4430	−	6.01358i	0.945859	−	0.253442i	0.247255	−	0.968951i	$-0.420472\pi$
$563$	22.4430	−	6.01358i	0.945859	−	0.253442i	0.698604	+	0.715508i	$0.253805\pi$
$564$	8.20474	+	8.20474i	0.345482	+	0.345482i
$565$	38.4365	+	6.55304i	1.61704	+	0.275688i
$566$	27.8935	−	7.47405i	1.17245	−	0.314158i
$567$			4.31743i			0.181315i
$568$	1.51836	+	5.66659i	0.0637089	+	0.237765i
$569$	12.8749	+	22.3000i	0.539744	+	0.934864i	0.998917	+	0.0465171i	$0.0148122\pi$
$569$	12.8749	+	22.3000i	0.539744	+	0.934864i	−0.459174	+	0.888346i	$0.651854\pi$
$570$	13.4296	−	1.25166i	0.562504	−	0.0524263i
$571$			2.22017i			0.0929113i	0.998920	+	0.0464557i	$0.0147926\pi$
$571$			2.22017i			0.0929113i	−0.998920	+	0.0464557i	$0.985207\pi$
$572$	2.99816	−	1.87806i	0.125359	−	0.0785258i
$573$	11.4646	−	11.4646i	0.478940	−	0.478940i
$574$	−1.69924	+	6.34165i	−0.0709250	+	0.264696i
$575$	−27.7557	+	13.3277i	−1.15749	+	0.555803i
$576$	0.866025	+	0.500000i	0.0360844	+	0.0208333i
$577$	17.4261			0.725459			0.362730	−	0.931894i	$-0.381845\pi$
$577$	17.4261			0.725459			0.362730	+	0.931894i	$0.381845\pi$
$578$	−14.6680	−	8.46857i	−0.610108	−	0.352246i
$579$	0.974264	+	3.63600i	0.0404890	+	0.151107i
$580$	10.6715	+	4.90276i	0.443108	+	0.203576i
$581$	26.5020	−	45.9029i	1.09949	−	1.90437i
$582$	−8.33865	−	2.23433i	−0.345648	−	0.0926161i
$583$	0.0650743	+	0.112712i	0.00269510	+	0.00466805i
$584$	−5.97454			−0.247228
$585$	3.07072	+	7.45457i	0.126959	+	0.308209i
$586$	3.43788			0.142018
$587$	14.5554	+	25.2108i	0.600767	+	1.04056i	0.992705	+	0.120568i	$0.0384715\pi$
$587$	14.5554	+	25.2108i	0.600767	+	1.04056i	−0.391938	+	0.919992i	$0.628195\pi$
$588$	11.2436	+	3.01272i	0.463679	+	0.124242i
$589$	24.3146	−	42.1141i	1.00187	−	1.73528i
$590$	8.06014	+	21.7606i	0.331831	+	0.895869i
$591$	4.46515	+	16.6642i	0.183672	+	0.685472i
$592$	5.47806	+	3.16276i	0.225147	+	0.129989i
$593$	18.5469			0.761632			0.380816	−	0.924651i	$-0.375643\pi$
$593$	18.5469			0.761632			0.380816	+	0.924651i	$0.375643\pi$
$594$	−0.849753	−	0.490605i	−0.0348658	−	0.0201298i
$595$	1.86292	+	1.54527i	0.0763724	+	0.0633500i
$596$	5.22950	−	19.5168i	0.214209	−	0.799437i
$597$	2.87544	−	2.87544i	0.117684	−	0.117684i
$598$	−0.799378	−	22.1884i	−0.0326890	−	0.907350i
$599$		−	6.72647i		−	0.274836i	−0.990513	−	0.137418i	$-0.956120\pi$
$599$		−	6.72647i		−	0.274836i	0.990513	−	0.137418i	$-0.0438804\pi$
$600$	2.16431	+	4.50730i	0.0883577	+	0.184010i
$601$	6.81520	+	11.8043i	0.277998	+	0.481506i	0.970887	−	0.239538i	$-0.0769959\pi$
$601$	6.81520	+	11.8043i	0.277998	+	0.481506i	−0.692889	+	0.721044i	$0.743663\pi$
$602$	6.73090	+	25.1201i	0.274331	+	1.02382i
$603$			1.63396i			0.0665400i
$604$	−6.34816	+	1.70098i	−0.258303	+	0.0692121i
$605$	18.3117	−	12.9773i	0.744478	−	0.527601i
$606$	−6.72460	−	6.72460i	−0.273168	−	0.273168i
$607$	18.5937	−	4.98217i	0.754695	−	0.202220i	0.139096	−	0.990279i	$-0.455580\pi$
$607$	18.5937	−	4.98217i	0.754695	−	0.202220i	0.615600	+	0.788059i	$0.288914\pi$
$608$	−1.56118	+	5.82639i	−0.0633141	+	0.236291i
$609$	−21.9025	−	5.86875i	−0.887534	−	0.237814i
$610$	2.48599	−	5.41107i	0.100655	−	0.219088i
$611$	−40.7742	−	9.36604i	−1.64955	−	0.378909i
$612$	−0.177281	−	0.177281i	−0.00716616	−	0.00716616i
$613$	3.86039	−	2.22880i	0.155920	−	0.0900203i	−0.420010	−	0.907519i	$-0.637973\pi$
$613$	3.86039	−	2.22880i	0.155920	−	0.0900203i	0.575930	+	0.817499i	$0.304640\pi$
$614$	−4.13666	+	2.38830i	−0.166942	+	0.0963840i
$615$	2.77427	−	1.96609i	0.111869	−	0.0792803i
$616$	−2.99553	+	2.99553i	−0.120693	+	0.120693i
$617$	−22.2862	+	38.6009i	−0.897210	+	1.55401i	−0.0661656	+	0.997809i	$0.521077\pi$
$617$	−22.2862	+	38.6009i	−0.897210	+	1.55401i	−0.831045	+	0.556205i	$0.812257\pi$
$618$	−5.56656	+	9.64156i	−0.223920	+	0.387841i
$619$	−2.95500	+	2.95500i	−0.118771	+	0.118771i	−0.763994	−	0.645223i	$-0.776764\pi$
$619$	−2.95500	+	2.95500i	−0.118771	+	0.118771i	0.645223	+	0.763994i	$0.276764\pi$
$620$	17.7707	+	3.02972i	0.713689	+	0.121677i
$621$	−5.33293	+	3.07897i	−0.214003	+	0.123555i
$622$	−5.59868	+	3.23240i	−0.224486	+	0.129607i
$623$	27.7592	+	27.7592i	1.11215	+	1.11215i
$624$	−3.60321	+	0.129813i	−0.144244	+	0.00519667i
$625$	−3.78208	+	24.7123i	−0.151283	+	0.988490i
$626$	0.465713	+	0.124787i	0.0186136	+	0.00498751i
$627$	1.53184	−	5.71692i	0.0611759	−	0.228312i
$628$	0.181405	−	0.0486073i	0.00723885	−	0.00193964i
$629$	−1.12139	−	1.12139i	−0.0447129	−	0.0447129i
$630$	−5.58208	−	7.87665i	−0.222395	−	0.313813i
$631$	−12.8991	+	3.45630i	−0.513505	+	0.137593i	−0.506261	−	0.862381i	$-0.668973\pi$
$631$	−12.8991	+	3.45630i	−0.513505	+	0.137593i	−0.00724425	+	0.999974i	$0.502306\pi$
$632$		−	6.94564i		−	0.276283i
$633$	−3.17314	−	11.8423i	−0.126121	−	0.470690i
$634$	15.8897	+	27.5218i	0.631062	+	1.09303i
$635$	22.9483	−	27.6656i	0.910676	−	1.09788i
$636$		−	0.132641i		−	0.00525955i
$637$	−40.1220	+	12.3150i	−1.58969	+	0.487939i
$638$	3.64394	−	3.64394i	0.144265	−	0.144265i
$639$	−1.51836	+	5.66659i	−0.0600654	+	0.224167i
$640$	−2.22642	+	0.207506i	−0.0880069	+	0.00820239i
$641$	−16.2564	−	9.38565i	−0.642090	−	0.370711i	0.143329	−	0.989675i	$-0.454219\pi$
$641$	−16.2564	−	9.38565i	−0.642090	−	0.370711i	−0.785419	+	0.618964i	$0.787553\pi$
$642$	1.94243			0.0766616
$643$	−36.1537	−	20.8734i	−1.42576	−	0.823165i	−0.428981	−	0.903314i	$-0.641127\pi$
$643$	−36.1537	−	20.8734i	−1.42576	−	0.823165i	−0.996783	+	0.0801488i	$0.974460\pi$
$644$	6.88109	+	25.6806i	0.271153	+	1.01196i
$645$	5.62299	−	12.2391i	0.221405	−	0.481916i
$646$	0.756141	−	1.30968i	0.0297500	−	0.0515285i
$647$	−9.15774	−	2.45381i	−0.360028	−	0.0964692i	0.0742707	−	0.997238i	$-0.476337\pi$
$647$	−9.15774	−	2.45381i	−0.360028	−	0.0964692i	−0.434299	+	0.900769i	$0.643004\pi$
$648$	0.500000	+	0.866025i	0.0196419	+	0.0340207i
$649$	10.1828			0.399708
$650$	−15.2403	−	9.62981i	−0.597774	−	0.377712i
$651$	−34.8070			−1.36420
$652$	11.5383	+	19.9849i	0.451875	+	0.782670i
$653$	−9.53231	−	2.55418i	−0.373028	−	0.0999526i	0.0674341	−	0.997724i	$-0.478519\pi$
$653$	−9.53231	−	2.55418i	−0.373028	−	0.0999526i	−0.440462	+	0.897771i	$0.645185\pi$
$654$	0.735202	−	1.27341i	0.0287487	−	0.0497941i
$655$	−12.1523	+	26.4511i	−0.474831	+	1.03353i
$656$	0.393577	+	1.46885i	0.0153666	+	0.0573489i
$657$	−5.17410	−	2.98727i	−0.201861	−	0.116544i
$658$	50.0963			1.95296
$659$	17.4507	+	10.0752i	0.679784	+	0.392474i	0.799774	−	0.600302i	$-0.204953\pi$
$659$	17.4507	+	10.0752i	0.679784	+	0.392474i	−0.119990	+	0.992775i	$0.538286\pi$
$660$	2.18459	−	0.203607i	0.0850349	−	0.00792539i
$661$	−4.60338	+	17.1800i	−0.179051	+	0.668226i	0.816776	+	0.576955i	$0.195759\pi$
$661$	−4.60338	+	17.1800i	−0.179051	+	0.668226i	−0.995826	+	0.0912703i	$0.970907\pi$
$662$	16.9741	−	16.9741i	0.659718	−	0.659718i
$663$	0.881015	+	0.202373i	0.0342158	+	0.00785953i
$664$		−	12.2768i		−	0.476430i
$665$	37.1779	−	44.8202i	1.44170	−	1.73805i
$666$	3.16276	+	5.47806i	0.122555	+	0.212271i
$667$	−8.37058	−	31.2394i	−0.324110	−	1.20960i
$668$		−	3.89333i		−	0.150638i
$669$	19.7769	−	5.29921i	0.764620	−	0.204879i
$670$	−2.11257	−	2.98097i	−0.0816157	−	0.115165i
$671$	−1.84770	−	1.84770i	−0.0713295	−	0.0713295i
$672$	4.17032	−	1.11743i	0.160874	−	0.0431060i
$673$	11.4620	−	42.7766i	0.441826	−	1.64892i	−0.282357	−	0.959309i	$-0.591116\pi$
$673$	11.4620	−	42.7766i	0.441826	−	1.64892i	0.724183	−	0.689608i	$-0.242217\pi$
$674$	−5.41292	−	1.45039i	−0.208498	−	0.0558668i
$675$	−0.379300	+	4.98559i	−0.0145993	+	0.191896i
$676$	10.7614	−	7.29330i	0.413900	−	0.280512i
$677$	4.58316	+	4.58316i	0.176145	+	0.176145i	0.789673	−	0.613528i	$-0.210250\pi$
$677$	4.58316	+	4.58316i	0.176145	+	0.176145i	−0.613528	+	0.789673i	$0.710250\pi$
$678$	−15.1012	+	8.71869i	−0.579958	+	0.334839i
$679$	−32.2781	+	18.6358i	−1.23872	+	0.715176i
$680$	0.552637	+	0.0942191i	0.0211927	+	0.00361314i
$681$	2.33368	−	2.33368i	0.0894267	−	0.0894267i
$682$	3.95525	−	6.85069i	0.151454	−	0.262326i
$683$	−16.4079	+	28.4193i	−0.627830	+	1.08743i	0.360156	+	0.932892i	$0.382723\pi$
$683$	−16.4079	+	28.4193i	−0.627830	+	1.08743i	−0.987986	+	0.154541i	$0.950610\pi$
$684$	−4.26521	+	4.26521i	−0.163085	+	0.163085i
$685$	−22.0162	+	15.6026i	−0.841196	+	0.596144i
$686$	17.3499	−	10.0170i	0.662422	−	0.382450i
$687$	−21.2086	+	12.2448i	−0.809157	+	0.467167i
$688$	4.25928	+	4.25928i	0.162384	+	0.162384i
$689$	0.253878	+	0.405293i	0.00967199	+	0.0154404i
$690$	5.74846	−	12.5122i	0.218840	−	0.476333i
$691$	−39.2711	−	10.5227i	−1.49394	−	0.400301i	−0.582876	−	0.812561i	$-0.698073\pi$
$691$	−39.2711	−	10.5227i	−1.49394	−	0.400301i	−0.911066	+	0.412261i	$0.864739\pi$
$692$	5.01390	−	18.7121i	0.190600	−	0.711328i
$693$	−4.09196	+	1.09644i	−0.155441	+	0.0416503i
$694$	−7.33399	−	7.33399i	−0.278394	−	0.278394i
$695$	−36.9718	+	26.2014i	−1.40242	+	0.993876i
$696$	−5.07303	+	1.35932i	−0.192293	+	0.0515247i
$697$		−	0.381250i		−	0.0144409i
$698$	4.55481	+	16.9988i	0.172402	+	0.643413i
$699$	9.16721	+	15.8781i	0.346736	+	0.600564i
$700$	20.3677	+	7.15288i	0.769826	+	0.270353i
$701$			33.2167i			1.25458i	0.778787	+	0.627289i	$0.215835\pi$
$701$			33.2167i			1.25458i	−0.778787	+	0.627289i	$0.784165\pi$
$702$	−3.18538	−	1.68919i	−0.120224	−	0.0637542i
$703$	−26.9797	+	26.9797i	−1.01756	+	1.01756i
$704$	−0.253956	+	0.947777i	−0.00957133	+	0.0357207i
$705$	−19.9697	−	16.5646i	−0.752103	−	0.623861i
$706$	14.5067	+	8.37544i	0.545966	+	0.315214i
$707$	−41.0589			−1.54418
$708$	−8.98740	−	5.18888i	−0.337767	−	0.195010i
$709$	−3.64596	−	13.6069i	−0.136927	−	0.511018i	−0.999983	−	0.00590939i	$-0.998119\pi$
$709$	−3.64596	−	13.6069i	−0.136927	−	0.511018i	0.863056	−	0.505109i	$-0.168548\pi$
$710$	−4.55636	−	12.3011i	−0.170997	−	0.461654i
$711$	3.47282	−	6.01510i	0.130241	−	0.225584i
$712$	8.78296	+	2.35339i	0.329155	+	0.0881969i
$713$	−24.8226	−	42.9939i	−0.929612	−	1.61014i
$714$	−1.08244			−0.0405092
$715$	−6.28544	+	4.80349i	−0.235062	+	0.179640i
$716$	−15.5140			−0.579786
$717$	4.63201	+	8.02288i	0.172986	+	0.299620i
$718$	−19.7998	−	5.30534i	−0.738922	−	0.197994i
$719$	−11.4861	+	19.8946i	−0.428361	+	0.741943i	−0.996728	−	0.0808324i	$-0.974242\pi$
$719$	−11.4861	+	19.8946i	−0.428361	+	0.741943i	0.568367	+	0.822775i	$0.307575\pi$
$720$	−2.03189	−	0.933504i	−0.0757240	−	0.0347896i
$721$	12.4405	+	46.4287i	0.463310	+	1.72909i
$722$	−15.0551	−	8.69206i	−0.560292	−	0.323485i
$723$	20.5280			0.763445
$724$	7.59466	+	4.38478i	0.282253	+	0.162959i
$725$	−24.7765	−	8.70120i	−0.920176	−	0.323154i
$726$	−2.59783	+	9.69522i	−0.0964143	+	0.359823i
$727$	4.37859	−	4.37859i	0.162393	−	0.162393i	−0.621233	−	0.783626i	$-0.713368\pi$
$727$	4.37859	−	4.37859i	0.162393	−	0.162393i	0.783626	+	0.621233i	$0.213368\pi$
$728$	−10.6039	+	11.3965i	−0.393007	+	0.422383i
$729$			1.00000i			0.0370370i
$730$	13.3018	−	1.23975i	0.492322	−	0.0458853i
$731$	−0.755090	−	1.30785i	−0.0279280	−	0.0483727i
$732$	0.689254	+	2.57233i	0.0254756	+	0.0950761i
$733$		−	19.3534i		−	0.714835i	−0.933945	−	0.357417i	$-0.883657\pi$
$733$		−	19.3534i		−	0.714835i	0.933945	−	0.357417i	$-0.116343\pi$
$734$	−17.0284	+	4.56275i	−0.628531	+	0.168414i
$735$	−25.6581	−	4.37445i	−0.946415	−	0.161354i
$736$	4.35432	+	4.35432i	0.160502	+	0.160502i
$737$	−1.54863	+	0.414954i	−0.0570445	+	0.0152850i
$738$	−0.393577	+	1.46885i	−0.0144878	+	0.0540690i
$739$	27.2713	+	7.30734i	1.00319	+	0.268805i	0.722783	−	0.691076i	$-0.242863\pi$
$739$	27.2713	+	7.30734i	1.00319	+	0.268805i	0.280410	+	0.959880i	$0.409529\pi$
$740$	−12.8528	−	5.90490i	−0.472477	−	0.217069i
$741$	4.86891	−	21.1964i	0.178864	−	0.778669i
$742$	−0.404937	−	0.404937i	−0.0148657	−	0.0148657i
$743$	30.3800	−	17.5399i	1.11453	−	0.643477i	0.174534	−	0.984651i	$-0.444158\pi$
$743$	30.3800	−	17.5399i	1.11453	−	0.643477i	0.940000	+	0.341175i	$0.110825\pi$
$744$	−6.98187	+	4.03099i	−0.255968	+	0.147783i
$745$	−7.59321	+	44.5376i	−0.278194	+	1.63173i
$746$	15.4602	−	15.4602i	0.566039	−	0.566039i
$747$	6.13838	−	10.6320i	0.224591	−	0.389004i
$748$	0.123001	−	0.213044i	0.00449737	−	0.00778967i
$749$	5.93002	−	5.93002i	0.216678	−	0.216678i
$750$	−5.75396	−	9.58603i	−0.210105	−	0.350032i
$751$	29.7175	−	17.1574i	1.08441	−	0.626084i	0.152326	−	0.988330i	$-0.451323\pi$
$751$	29.7175	−	17.1574i	1.08441	−	0.626084i	0.932082	+	0.362247i	$0.117990\pi$
$752$	10.0487	−	5.80162i	0.366439	−	0.211563i
$753$	2.92938	+	2.92938i	0.106753	+	0.106753i
$754$	12.8992	−	13.8634i	0.469762	−	0.504876i
$755$	13.7807	−	5.10438i	0.501531	−	0.185768i
$756$	4.17032	+	1.11743i	0.151673	+	0.0406407i
$757$	3.78996	−	14.1443i	0.137748	−	0.514084i	−0.862223	−	0.506529i	$-0.830928\pi$
$757$	3.78996	−	14.1443i	0.137748	−	0.514084i	0.999971	−	0.00755517i	$-0.00240491\pi$
$758$	25.0713	−	6.71785i	0.910632	−	0.244003i
$759$	−4.27250	−	4.27250i	−0.155082	−	0.155082i
$760$	2.26682	−	13.2959i	0.0822263	−	0.482295i
$761$	13.4959	−	3.61622i	0.489227	−	0.131088i	−0.00576880	−	0.999983i	$-0.501836\pi$
$761$	13.4959	−	3.61622i	0.489227	−	0.131088i	0.494996	+	0.868895i	$0.335170\pi$
$762$			16.0749i			0.582332i
$763$	−1.64308	−	6.13205i	−0.0594834	−	0.221995i
$764$	−8.10669	−	14.0412i	−0.293290	−	0.507993i
$765$	0.431488	+	0.357915i	0.0156005	+	0.0129404i
$766$			3.13442i			0.113251i
$767$	37.3933	−	1.34716i	1.35019	−	0.0486433i
$768$	0.707107	−	0.707107i	0.0255155	−	0.0255155i
$769$	4.86619	−	18.1609i	0.175479	−	0.654898i	−0.820990	−	0.570942i	$-0.806578\pi$
$769$	4.86619	−	18.1609i	0.175479	−	0.654898i	0.996470	−	0.0839553i	$-0.0267553\pi$
$770$	6.04771	−	7.29088i	0.217944	−	0.262745i
$771$	10.1756	+	5.87491i	0.366467	+	0.211580i
$772$	3.76427			0.135479
$773$	−14.7582	−	8.52064i	−0.530815	−	0.306466i	0.210533	−	0.977587i	$-0.432480\pi$
$773$	−14.7582	−	8.52064i	−0.530815	−	0.306466i	−0.741348	+	0.671120i	$0.765813\pi$
$774$	1.55901	+	5.81829i	0.0560373	+	0.209134i
$775$	−40.1937	−	3.05791i	−1.44380	−	0.109843i
$776$	−4.31640	+	7.47623i	−0.154950	+	0.268381i
$777$	26.3795	+	7.06836i	0.946358	+	0.253576i
$778$	−6.24232	−	10.8120i	−0.223798	−	0.387630i
$779$	−9.17253			−0.328640
$780$	7.99533	−	1.03671i	0.286279	−	0.0371200i
$781$	−5.75626			−0.205975
$782$	−0.771938	−	1.33704i	−0.0276044	−	0.0478123i
$783$	−5.07303	−	1.35932i	−0.181295	−	0.0485780i
$784$	5.82012	−	10.0807i	0.207861	−	0.360027i
$785$	−0.393797	+	0.145863i	−0.0140552	+	0.00520607i
$786$	−3.36930	−	12.5744i	−0.120179	−	0.448514i
$787$	5.23031	+	3.01972i	0.186440	+	0.107641i	0.590315	−	0.807173i	$-0.299004\pi$
$787$	5.23031	+	3.01972i	0.186440	+	0.107641i	−0.403875	+	0.914814i	$0.632337\pi$
$788$	17.2520			0.614578
$789$	−10.8885	−	6.28647i	−0.387640	−	0.223804i
$790$	1.44126	+	15.4639i	0.0512778	+	0.550181i
$791$	−19.4851	+	72.7194i	−0.692811	+	2.58561i
$792$	−0.693821	+	0.693821i	−0.0246538	+	0.0246538i
$793$	−7.02958	−	6.54068i	−0.249628	−	0.232267i
$794$		−	14.8818i		−	0.528136i
$795$	0.0275237	+	0.295314i	0.000976166	+	0.0104737i
$796$	−2.03325	−	3.52168i	−0.0720665	−	0.124823i
$797$	−9.96405	−	37.1863i	−0.352945	−	1.31721i	−0.883051	−	0.469277i	$-0.844515\pi$
$797$	−9.96405	−	37.1863i	−0.352945	−	1.31721i	0.530107	−	0.847931i	$-0.322152\pi$
$798$			26.0424i			0.921892i
$799$	−2.80996	+	0.752927i	−0.0994093	+	0.0266366i
$800$	4.91388	−	0.923990i	0.173732	−	0.0326680i
$801$	6.42957	+	6.42957i	0.227178	+	0.227178i
$802$	4.12568	−	1.10547i	0.145683	−	0.0390356i
$803$	1.51727	−	5.66253i	0.0535433	−	0.199826i
$804$	1.57828	+	0.422900i	0.0556618	+	0.0149145i
$805$	−20.6491	−	55.7479i	−0.727784	−	1.96485i
$806$	13.6182	−	25.6805i	0.479680	−	0.904556i
$807$	−2.49652	−	2.49652i	−0.0878816	−	0.0878816i
$808$	−8.23593	+	4.75501i	−0.289739	+	0.167281i
$809$	40.7648	−	23.5356i	1.43321	−	0.827466i	0.435849	−	0.900020i	$-0.356448\pi$
$809$	40.7648	−	23.5356i	1.43321	−	0.827466i	0.997364	+	0.0725540i	$0.0231150\pi$
$810$	−1.29291	−	1.82438i	−0.0454284	−	0.0641023i
$811$	−39.4660	+	39.4660i	−1.38584	+	1.38584i	−0.551983	+	0.833855i	$0.686129\pi$
$811$	−39.4660	+	39.4660i	−1.38584	+	1.38584i	−0.833855	+	0.551983i	$0.813871\pi$
$812$	−11.3376	+	19.6372i	−0.397870	+	0.689132i
$813$	−10.3800	+	17.9787i	−0.364044	+	0.630542i
$814$	−4.38878	+	4.38878i	−0.153827	+	0.153827i
$815$	−29.8361	−	42.1005i	−1.04511	−	1.47472i
$816$	−0.217124	+	0.125357i	−0.00760086	+	0.00438836i
$817$	−31.4657	+	18.1668i	−1.10085	+	0.635574i
$818$	20.3308	+	20.3308i	0.710848	+	0.710848i
$819$	−14.8815	+	4.56772i	−0.520002	+	0.159609i
$820$	−1.18106	−	3.18860i	−0.0412444	−	0.111351i
$821$	19.3046	+	5.17265i	0.673735	+	0.180527i	0.579437	−	0.815017i	$-0.303273\pi$
$821$	19.3046	+	5.17265i	0.673735	+	0.180527i	0.0942982	+	0.995544i	$0.469939\pi$
$822$	3.12337	−	11.6566i	0.108940	−	0.406569i
$823$	50.9869	−	13.6619i	1.77729	−	0.476224i	0.787207	−	0.616689i	$-0.211526\pi$
$823$	50.9869	−	13.6619i	1.77729	−	0.476224i	0.990086	+	0.140465i	$0.0448598\pi$
$824$	7.87230	+	7.87230i	0.274245	+	0.274245i
$825$	−4.82155	+	0.906629i	−0.167865	+	0.0315648i
$826$	−43.2786	+	11.5965i	−1.50585	+	0.403492i
$827$		−	9.36421i		−	0.325626i	−0.986657	−	0.162813i	$-0.947943\pi$
$827$		−	9.36421i		−	0.325626i	0.986657	−	0.162813i	$-0.0520567\pi$
$828$	1.59379	+	5.94811i	0.0553881	+	0.206711i
$829$	10.4433	+	18.0884i	0.362712	+	0.628236i	0.988406	−	0.151833i	$-0.0485175\pi$
$829$	10.4433	+	18.0884i	0.362712	+	0.628236i	−0.625694	+	0.780069i	$0.715184\pi$
$830$	2.54750	+	27.3332i	0.0884250	+	0.948749i
$831$			13.2744i			0.460485i
$832$	−0.807191	+	3.51404i	−0.0279843	+	0.121827i
$833$	−2.06359	+	2.06359i	−0.0714992	+	0.0714992i
$834$	5.24507	−	19.5749i	0.181622	−	0.677822i
$835$	0.807890	+	8.66819i	0.0279582	+	0.299975i
$836$	−5.12565	−	2.95929i	−0.177274	−	0.102349i
$837$	−8.06197			−0.278663
$838$	24.0588	+	13.8903i	0.831096	+	0.479834i
$839$	1.49233	+	5.56945i	0.0515210	+	0.192279i	0.986890	−	0.161394i	$-0.0515991\pi$
$839$	1.49233	+	5.56945i	0.0515210	+	0.192279i	−0.935369	+	0.353673i	$0.884932\pi$
$840$	−9.05301	+	3.35324i	−0.312358	+	0.115698i
$841$	−0.708295	+	1.22680i	−0.0244240	+	0.0423036i
$842$	−8.56274	−	2.29438i	−0.295091	−	0.0790695i
$843$	−2.96604	−	5.13733i	−0.102156	−	0.176939i
$844$	−12.2601			−0.422009
$845$	−22.4460	+	18.4710i	−0.772165	+	0.635422i
$846$	11.6032			0.398928
$847$	21.6675	+	37.5293i	0.744505	+	1.28952i
$848$	−0.128121	−	0.0343300i	−0.00439970	−	0.00117890i
$849$	14.4388	−	25.0086i	0.495537	−	0.858295i
$850$	−1.24995	−	0.0950956i	−0.0428730	−	0.00326175i
$851$	10.0816	+	37.6249i	0.345592	+	1.28977i
$852$	5.08053	+	2.93325i	0.174056	+	0.100491i
$853$	−44.2828			−1.51621			−0.758107	−	0.652130i	$-0.773876\pi$
$853$	−44.2828			−1.51621			−0.758107	+	0.652130i	$0.773876\pi$
$854$	9.95726	+	5.74882i	0.340730	+	0.196721i
$855$	8.61110	−	10.3812i	0.294493	−	0.355030i
$856$	0.502738	−	1.87624i	0.0171832	−	0.0641287i
$857$	−5.02589	+	5.02589i	−0.171681	+	0.171681i	−0.787718	−	0.616037i	$-0.788737\pi$
$857$	−5.02589	+	5.02589i	−0.171681	+	0.171681i	0.616037	+	0.787718i	$0.288737\pi$
$858$	0.792024	−	3.44801i	0.0270393	−	0.117713i
$859$		−	26.6195i		−	0.908246i	−0.890939	−	0.454123i	$-0.849953\pi$
$859$		−	26.6195i		−	0.908246i	0.890939	−	0.454123i	$-0.150047\pi$
$860$	−10.3668	−	8.59912i	−0.353504	−	0.293228i
$861$	3.28268	+	5.68577i	0.111874	+	0.193771i
$862$	5.67602	+	21.1832i	0.193326	+	0.721502i
$863$			3.71975i			0.126622i	0.997994	+	0.0633108i	$0.0201659\pi$
$863$			3.71975i			0.126622i	−0.997994	+	0.0633108i	$0.979834\pi$
$864$	0.965926	−	0.258819i	0.0328615	−	0.00880520i
$865$	−7.28016	+	42.7014i	−0.247533	+	1.45189i
$866$	−6.99512	−	6.99512i	−0.237704	−	0.237704i
$867$	−16.3600	+	4.38366i	−0.555616	+	0.148877i
$868$	−9.00873	+	33.6210i	−0.305776	+	1.14117i
$869$	6.58292	+	1.76389i	0.223310	+	0.0598358i
$870$	11.0126	−	4.07909i	0.373363	−	0.138294i
$871$	−5.63199	+	1.72868i	−0.190833	+	0.0585741i
$872$	−1.03973	−	1.03973i	−0.0352098	−	0.0352098i
$873$	−7.47623	+	4.31640i	−0.253032	+	0.146088i
$874$	−32.1678	+	18.5721i	−1.08809	+	0.628211i
$875$	−46.8313	−	11.6989i	−1.58319	−	0.395495i
$876$	−4.22463	+	4.22463i	−0.142737	+	0.142737i
$877$	7.09451	−	12.2881i	0.239565	−	0.414938i	−0.721025	−	0.692909i	$-0.756329\pi$
$877$	7.09451	−	12.2881i	0.239565	−	0.414938i	0.960589	+	0.277971i	$0.0896620\pi$
$878$	−10.6237	+	18.4008i	−0.358532	+	0.620996i
$879$	2.43095	−	2.43095i	0.0819939	−	0.0819939i
$880$	0.368743	−	2.16285i	0.0124303	−	0.0729095i
$881$	4.81869	−	2.78207i	0.162346	−	0.0937304i	−0.416626	−	0.909078i	$-0.636788\pi$
$881$	4.81869	−	2.78207i	0.162346	−	0.0937304i	0.578972	+	0.815348i	$0.303454\pi$
$882$	10.0807	−	5.82012i	0.339436	−	0.195974i
$883$	32.2569	+	32.2569i	1.08553	+	1.08553i	0.995983	+	0.0895479i	$0.0285422\pi$
$883$	32.2569	+	32.2569i	1.08553	+	1.08553i	0.0895479	+	0.995983i	$0.471458\pi$
$884$	0.423501	−	0.798617i	0.0142439	−	0.0268604i
$885$	21.0864	+	9.68768i	0.708813	+	0.325648i
$886$	−14.5406	−	3.89614i	−0.488501	−	0.130893i
$887$	0.269969	−	1.00754i	0.00906468	−	0.0338299i	−0.961245	−	0.275694i	$-0.911092\pi$
$887$	0.269969	−	1.00754i	0.00906468	−	0.0338299i	0.970310	+	0.241864i	$0.0777589\pi$
$888$	6.10999	−	1.63717i	0.205038	−	0.0549397i
$889$	49.0749	+	49.0749i	1.64592	+	1.64592i
$890$	−20.0429	−	3.41711i	−0.671839	−	0.114542i
$891$	−0.947777	+	0.253956i	−0.0317517	+	0.00850785i
$892$		−	20.4746i		−	0.685540i
$893$	18.1147	+	67.6051i	0.606186	+	2.26232i
$894$	−10.1026	−	17.4982i	−0.337882	−	0.585229i
$895$	34.5407	−	3.21925i	1.15457	−	0.107608i
$896$		−	4.31743i		−	0.144235i
$897$	−16.2548	−	15.1243i	−0.542732	−	0.504986i
$898$	7.66623	−	7.66623i	0.255826	−	0.255826i
$899$	10.9588	−	40.8987i	0.365495	−	1.36405i
$900$	4.71754	+	1.65674i	0.157251	+	0.0552247i
$901$	0.0287995	+	0.0166274i	0.000959450	+	0.000553939i
$902$	−1.49209			−0.0496812
$903$	22.5220	+	13.0031i	0.749487	+	0.432716i
$904$	4.51312	+	16.8432i	0.150104	+	0.560197i
$905$	−17.8188	−	8.18642i	−0.592316	−	0.272126i
$906$	−3.28605	+	5.69160i	−0.109172	+	0.189091i
$907$	−26.8919	−	7.20566i	−0.892931	−	0.239260i	−0.216953	−	0.976182i	$-0.569612\pi$
$907$	−26.8919	−	7.20566i	−0.892931	−	0.239260i	−0.675978	+	0.736922i	$0.736278\pi$
$908$	−1.65016	−	2.85816i	−0.0547624	−	0.0948513i
$909$	−9.51003			−0.315428
$910$	21.2439	−	27.5738i	0.704228	−	0.914062i
$911$	−35.4977			−1.17609			−0.588046	−	0.808828i	$-0.700103\pi$
$911$	−35.4977			−1.17609			−0.588046	+	0.808828i	$0.700103\pi$
$912$	3.01596	+	5.22380i	0.0998685	+	0.172977i
$913$	11.6356	+	3.11776i	0.385083	+	0.103183i
$914$	−0.209182	+	0.362314i	−0.00691913	+	0.0119843i
$915$	−2.06834	−	5.58407i	−0.0683773	−	0.184603i
$916$	6.33836	+	23.6551i	0.209425	+	0.781586i
$917$	−48.6743	−	28.1021i	−1.60737	−	0.928014i
$918$	−0.250713			−0.00827477
$919$	8.61967	+	4.97657i	0.284337	+	0.164162i	0.635385	−	0.772195i	$-0.280841\pi$
$919$	8.61967	+	4.97657i	0.284337	+	0.164162i	−0.351048	+	0.936357i	$0.614175\pi$
$920$	−10.5981	−	8.79099i	−0.349409	−	0.289830i
$921$	−1.23628	+	4.61384i	−0.0407367	+	0.152031i
$922$	−3.10092	+	3.10092i	−0.102123	+	0.102123i
$923$	−21.1382	+	0.761545i	−0.695773	+	0.0250666i
$924$			4.23631i			0.139364i
$925$	29.8409	+	10.4798i	0.981164	+	0.344572i
$926$	16.4471	+	28.4873i	0.540486	+	0.936149i
$927$	2.88146	+	10.7538i	0.0946397	+	0.353200i
$928$			5.25199i			0.172405i
$929$	30.7462	−	8.23841i	1.00875	−	0.270294i	0.283643	−	0.958930i	$-0.408457\pi$
$929$	30.7462	−	8.23841i	1.00875	−	0.270294i	0.725107	+	0.688636i	$0.241790\pi$
$930$	14.7081	−	10.4234i	0.482298	−	0.341798i
$931$	49.6481	+	49.6481i	1.62715	+	1.62715i
$932$	17.7097	−	4.74530i	0.580100	−	0.155437i
$933$	−1.67321	+	6.24451i	−0.0547785	+	0.204436i
$934$	−29.9884	−	8.03537i	−0.981251	−	0.262925i
$935$	−0.229644	+	0.499849i	−0.00751017	+	0.0163468i
$936$	−2.45607	+	2.63965i	−0.0802790	+	0.0862796i
$937$	−20.6434	−	20.6434i	−0.674389	−	0.674389i	0.284335	−	0.958725i	$-0.408227\pi$
$937$	−20.6434	−	20.6434i	−0.674389	−	0.674389i	−0.958725	+	0.284335i	$0.908227\pi$
$938$	6.10939	−	3.52726i	0.199479	−	0.115169i
$939$	0.417547	−	0.241071i	0.0136261	−	0.00786705i
$940$	−21.1688	+	15.0020i	−0.690449	+	0.489312i
$941$	−22.9997	+	22.9997i	−0.749770	+	0.749770i	−0.974436	−	0.224666i	$-0.927871\pi$
$941$	−22.9997	+	22.9997i	−0.749770	+	0.749770i	0.224666	+	0.974436i	$0.427871\pi$
$942$	0.0939021	−	0.162643i	0.00305950	−	0.00529920i
$943$	−4.68207	+	8.10959i	−0.152469	+	0.264085i
$944$	−7.33818	+	7.33818i	−0.238837	+	0.238837i
$945$	−9.51676	−	1.62251i	−0.309580	−	0.0527803i
$946$	−5.11852	+	2.95518i	−0.166417	+	0.0960811i
$947$	19.8534	−	11.4624i	0.645150	−	0.372478i	−0.141445	−	0.989946i	$-0.545175\pi$
$947$	19.8534	−	11.4624i	0.645150	−	0.372478i	0.786596	+	0.617468i	$0.211842\pi$
$948$	−4.91131	−	4.91131i	−0.159512	−	0.159512i
$949$	4.82259	−	20.9947i	0.156548	−	0.681518i
$950$	−2.28791	+	30.0727i	−0.0742297	+	0.975688i
$951$	30.6966	+	8.22513i	0.995405	+	0.266718i
$952$	−0.280155	+	1.04555i	−0.00907989	+	0.0338866i
$953$	−37.3823	+	10.0166i	−1.21093	+	0.324468i	−0.807127	−	0.590377i	$-0.798979\pi$
$953$	−37.3823	+	10.0166i	−1.21093	+	0.324468i	−0.403804	+	0.914845i	$0.632312\pi$
$954$	−0.0937912	−	0.0937912i	−0.00303660	−	0.00303660i
$955$	20.9625	+	29.5794i	0.678331	+	0.957167i
$956$	8.94837	−	2.39771i	0.289411	−	0.0775474i
$957$		−	5.15331i		−	0.166583i
$958$	−2.25322	−	8.40912i	−0.0727981	−	0.271686i
$959$	−26.0509	−	45.1214i	−0.841227	−	1.45705i
$960$	−1.42759	+	1.72104i	−0.0460752	+	0.0555465i
$961$		−	33.9954i		−	1.09663i
$962$	−15.5359	+	16.6972i	−0.500897	+	0.538338i
$963$	1.37351	−	1.37351i	0.0442606	−	0.0442606i
$964$	5.31304	−	19.8285i	0.171121	−	0.638634i
$965$	−8.38083	+	0.781107i	−0.269789	+	0.0251447i
$966$	23.0246	+	13.2932i	0.740804	+	0.427703i
$967$	−36.9538			−1.18835			−0.594176	−	0.804335i	$-0.702522\pi$
$967$	−36.9538			−1.18835			−0.594176	+	0.804335i	$0.702522\pi$
$968$	8.69249	+	5.01861i	0.279387	+	0.161304i
$969$	−0.391408	−	1.46075i	−0.0125738	−	0.0469261i
$970$	8.05876	−	17.5409i	0.258751	−	0.563204i
$971$	−6.20539	+	10.7480i	−0.199140	+	0.344921i	−0.948250	−	0.317525i	$-0.897148\pi$
$971$	−6.20539	+	10.7480i	−0.199140	+	0.344921i	0.749110	+	0.662446i	$0.230482\pi$
$972$	0.965926	+	0.258819i	0.0309821	+	0.00830162i
$973$	−43.7472	−	75.7724i	−1.40247	−	2.42915i
$974$	−34.9123			−1.11866
$975$	−17.5858	+	3.96722i	−0.563197	+	0.127053i
$976$	2.66307			0.0852429
$977$	28.1639	+	48.7814i	0.901045	+	1.56065i	0.826140	+	0.563464i	$0.190532\pi$
$977$	28.1639	+	48.7814i	0.901045	+	1.56065i	0.0749041	+	0.997191i	$0.476135\pi$
$978$	22.2903	+	5.97266i	0.712765	+	0.190985i
$979$	−4.46097	+	7.72662i	−0.142573	+	0.246944i
$980$	−10.8662	+	23.6517i	−0.347108	+	0.755525i
$981$	−0.380568	−	1.42030i	−0.0121506	−	0.0453467i
$982$	−17.5605	−	10.1386i	−0.560379	−	0.323535i
$983$	−36.8975			−1.17685			−0.588424	−	0.808552i	$-0.700252\pi$
$983$	−36.8975			−1.17685			−0.588424	+	0.808552i	$0.700252\pi$
$984$	1.31693	+	0.760332i	0.0419823	+	0.0242385i
$985$	−38.4102	+	3.57989i	−1.22385	+	0.114065i
$986$	0.340798	−	1.27188i	0.0108532	−	0.0405048i
$987$	35.4234	−	35.4234i	1.12754	−	1.12754i
$988$	−19.2140	−	10.1890i	−0.611278	−	0.324157i
$989$			37.0925i			1.17947i
$990$	1.40076	−	1.68871i	0.0445192	−	0.0536706i
$991$	7.36460	+	12.7559i	0.233944	+	0.405203i	0.958965	−	0.283523i	$-0.0915033\pi$
$991$	7.36460	+	12.7559i	0.233944	+	0.405203i	−0.725021	+	0.688727i	$0.758170\pi$
$992$	2.08659	+	7.78727i	0.0662494	+	0.247246i
$993$		−	24.0050i		−	0.761777i
$994$	24.4652	−	6.55542i	0.775987	−	0.207925i
$995$	5.25763	+	7.41883i	0.166678	+	0.235193i
$996$	−8.68098	−	8.68098i	−0.275067	−	0.275067i
$997$	−30.4893	+	8.16959i	−0.965607	+	0.258734i	−0.706972	−	0.707242i	$-0.749939\pi$
$997$	−30.4893	+	8.16959i	−0.965607	+	0.258734i	−0.258635	+	0.965975i	$0.583273\pi$
$998$	7.86593	−	29.3560i	0.248992	−	0.929249i
$999$	6.10999	+	1.63717i	0.193311	+	0.0517976i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	390.2.bn.c.67.3	yes	32
5.3	odd	4		390.2.bd.c.223.7	yes	32
13.7	odd	12		390.2.bd.c.7.7	✓	32
65.33	even	12	inner	390.2.bn.c.163.3	yes	32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
390.2.bd.c.7.7	✓	32	13.7	odd	12
390.2.bd.c.223.7	yes	32	5.3	odd	4
390.2.bn.c.67.3	yes	32	1.1	even	1	trivial
390.2.bn.c.163.3	yes	32	65.33	even	12	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	390.bn (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.500000 - 0.866025i) q^{2} +(-0.965926 - 0.258819i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(0.933504 - 2.03189i) q^{5} +(0.258819 + 0.965926i) q^{6} +(3.73901 + 2.15872i) q^{7} +1.00000 q^{8} +(0.866025 + 0.500000i) q^{9} +O(q^{10})\)	\(q+(-0.500000 - 0.866025i) q^{2} +(-0.965926 - 0.258819i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(0.933504 - 2.03189i) q^{5} +(0.258819 + 0.965926i) q^{6} +(3.73901 + 2.15872i) q^{7} +1.00000 q^{8} +(0.866025 + 0.500000i) q^{9} +(-2.22642 + 0.207506i) q^{10} +(-0.253956 + 0.947777i) q^{11} +(0.707107 - 0.707107i) q^{12} +(-0.807191 + 3.51404i) q^{13} -4.31743i q^{14} +(-1.42759 + 1.72104i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(0.0648893 + 0.242170i) q^{17} -1.00000i q^{18} +(5.82639 - 1.56118i) q^{19} +(1.29291 + 1.82438i) q^{20} +(-3.05289 - 3.05289i) q^{21} +(0.947777 - 0.253956i) q^{22} +(1.59379 - 5.94811i) q^{23} +(-0.965926 - 0.258819i) q^{24} +(-3.25714 - 3.79355i) q^{25} +(3.44684 - 1.05797i) q^{26} +(-0.707107 - 0.707107i) q^{27} +(-3.73901 + 2.15872i) q^{28} +(4.54836 - 2.62600i) q^{29} +(2.20426 + 0.375804i) q^{30} +(5.70068 - 5.70068i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(0.490605 - 0.849753i) q^{33} +(0.177281 - 0.177281i) q^{34} +(7.87665 - 5.58208i) q^{35} +(-0.866025 + 0.500000i) q^{36} +(-5.47806 + 3.16276i) q^{37} +(-4.26521 - 4.26521i) q^{38} +(1.68919 - 3.18538i) q^{39} +(0.933504 - 2.03189i) q^{40} +(-1.46885 - 0.393577i) q^{41} +(-1.11743 + 4.17032i) q^{42} +(-5.81829 + 1.55901i) q^{43} +(-0.693821 - 0.693821i) q^{44} +(1.82438 - 1.29291i) q^{45} +(-5.94811 + 1.59379i) q^{46} +11.6032i q^{47} +(0.258819 + 0.965926i) q^{48} +(5.82012 + 10.0807i) q^{49} +(-1.65674 + 4.71754i) q^{50} -0.250713i q^{51} +(-2.63965 - 2.45607i) q^{52} +(0.0937912 - 0.0937912i) q^{53} +(-0.258819 + 0.965926i) q^{54} +(1.68871 + 1.40076i) q^{55} +(3.73901 + 2.15872i) q^{56} -6.03192 q^{57} +(-4.54836 - 2.62600i) q^{58} +(-2.68596 - 10.0241i) q^{59} +(-0.776675 - 2.09685i) q^{60} +(-1.33154 + 2.30629i) q^{61} +(-7.78727 - 2.08659i) q^{62} +(2.15872 + 3.73901i) q^{63} +1.00000 q^{64} +(6.38661 + 4.92049i) q^{65} -0.981211 q^{66} +(0.816980 + 1.41505i) q^{67} +(-0.242170 - 0.0648893i) q^{68} +(-3.07897 + 5.33293i) q^{69} +(-8.77254 - 4.03034i) q^{70} +(1.51836 + 5.66659i) q^{71} +(0.866025 + 0.500000i) q^{72} -5.97454 q^{73} +(5.47806 + 3.16276i) q^{74} +(2.16431 + 4.50730i) q^{75} +(-1.56118 + 5.82639i) q^{76} +(-2.99553 + 2.99553i) q^{77} +(-3.60321 + 0.129813i) q^{78} -6.94564i q^{79} +(-2.22642 + 0.207506i) q^{80} +(0.500000 + 0.866025i) q^{81} +(0.393577 + 1.46885i) q^{82} -12.2768i q^{83} +(4.17032 - 1.11743i) q^{84} +(0.552637 + 0.0942191i) q^{85} +(4.25928 + 4.25928i) q^{86} +(-5.07303 + 1.35932i) q^{87} +(-0.253956 + 0.947777i) q^{88} +(8.78296 + 2.35339i) q^{89} +(-2.03189 - 0.933504i) q^{90} +(-10.6039 + 11.3965i) q^{91} +(4.35432 + 4.35432i) q^{92} +(-6.98187 + 4.03099i) q^{93} +(10.0487 - 5.80162i) q^{94} +(2.26682 - 13.2959i) q^{95} +(0.707107 - 0.707107i) q^{96} +(-4.31640 + 7.47623i) q^{97} +(5.82012 - 10.0807i) q^{98} +(-0.693821 + 0.693821i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q - 16 q^{2} - 16 q^{4} - 12 q^{7} + 32 q^{8}+O(q^{10}) \) 32 * q - 16 * q^2 - 16 * q^4 - 12 * q^7 + 32 * q^8	\( 32 q - 16 q^{2} - 16 q^{4} - 12 q^{7} + 32 q^{8} - 4 q^{11} + 8 q^{13} - 4 q^{15} - 16 q^{16} - 4 q^{17} + 20 q^{19} + 8 q^{21} + 8 q^{22} - 16 q^{23} - 8 q^{25} - 4 q^{26} + 12 q^{28} + 24 q^{29} + 8 q^{30} + 12 q^{31} - 16 q^{32} - 16 q^{34} + 12 q^{35} - 24 q^{37} - 4 q^{38} - 20 q^{39} - 28 q^{41} - 16 q^{42} + 4 q^{43} - 4 q^{44} - 4 q^{46} + 20 q^{49} - 8 q^{50} - 4 q^{52} - 4 q^{53} + 68 q^{55} - 12 q^{56} + 16 q^{57} - 24 q^{58} + 36 q^{59} - 4 q^{60} - 28 q^{61} - 48 q^{62} + 32 q^{64} - 28 q^{65} - 28 q^{67} + 20 q^{68} - 20 q^{69} - 24 q^{70} - 4 q^{71} - 48 q^{73} + 24 q^{74} + 24 q^{75} - 16 q^{76} + 20 q^{77} + 4 q^{78} + 16 q^{81} + 44 q^{82} + 8 q^{84} + 64 q^{85} - 8 q^{86} + 20 q^{87} - 4 q^{88} - 16 q^{89} - 40 q^{91} + 20 q^{92} - 24 q^{93} - 24 q^{94} + 68 q^{95} + 8 q^{97} + 20 q^{98} - 4 q^{99}+O(q^{100}) \) 32 * q - 16 * q^2 - 16 * q^4 - 12 * q^7 + 32 * q^8 - 4 * q^11 + 8 * q^13 - 4 * q^15 - 16 * q^16 - 4 * q^17 + 20 * q^19 + 8 * q^21 + 8 * q^22 - 16 * q^23 - 8 * q^25 - 4 * q^26 + 12 * q^28 + 24 * q^29 + 8 * q^30 + 12 * q^31 - 16 * q^32 - 16 * q^34 + 12 * q^35 - 24 * q^37 - 4 * q^38 - 20 * q^39 - 28 * q^41 - 16 * q^42 + 4 * q^43 - 4 * q^44 - 4 * q^46 + 20 * q^49 - 8 * q^50 - 4 * q^52 - 4 * q^53 + 68 * q^55 - 12 * q^56 + 16 * q^57 - 24 * q^58 + 36 * q^59 - 4 * q^60 - 28 * q^61 - 48 * q^62 + 32 * q^64 - 28 * q^65 - 28 * q^67 + 20 * q^68 - 20 * q^69 - 24 * q^70 - 4 * q^71 - 48 * q^73 + 24 * q^74 + 24 * q^75 - 16 * q^76 + 20 * q^77 + 4 * q^78 + 16 * q^81 + 44 * q^82 + 8 * q^84 + 64 * q^85 - 8 * q^86 + 20 * q^87 - 4 * q^88 - 16 * q^89 - 40 * q^91 + 20 * q^92 - 24 * q^93 - 24 * q^94 + 68 * q^95 + 8 * q^97 + 20 * q^98 - 4 * q^99

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