LMFDB - Embedded newform 294.2.p.a.101.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [294,2,Mod(5,294)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(294, base_ring=CyclotomicField(42))

chi = DirichletCharacter(H, H._module([21, 29]))

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

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

chi := DirichletCharacter("294.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 294 = 2 \cdot 3 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	294.p (of order $42$, degree $12$, 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:	$2.34760181943$
Analytic rank:	$0$
Dimension:	$216$
Relative dimension:	$18$ over $\Q(\zeta_{42})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label			101.4
Character	$\chi$	$=$	294.101
Dual form			294.2.p.a.131.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.930874 - 0.365341i) q^{2} +(-0.560323 + 1.63891i) q^{3} +(0.733052 + 0.680173i) q^{4} +(-1.71036 - 1.16610i) q^{5} +(1.12035 - 1.32091i) q^{6} +(1.49796 - 2.18085i) q^{7} +(-0.433884 - 0.900969i) q^{8} +(-2.37208 - 1.83664i) q^{9} +O(q^{10})$	\(q+(-0.930874 - 0.365341i) q^{2} +(-0.560323 + 1.63891i) q^{3} +(0.733052 + 0.680173i) q^{4} +(-1.71036 - 1.16610i) q^{5} +(1.12035 - 1.32091i) q^{6} +(1.49796 - 2.18085i) q^{7} +(-0.433884 - 0.900969i) q^{8} +(-2.37208 - 1.83664i) q^{9} +(1.16610 + 1.71036i) q^{10} +(-0.152835 - 1.01400i) q^{11} +(-1.52549 + 0.820293i) q^{12} +(1.05779 - 0.843556i) q^{13} +(-2.19117 + 1.48283i) q^{14} +(2.86949 - 2.14973i) q^{15} +(0.0747301 + 0.997204i) q^{16} +(4.47499 + 1.38035i) q^{17} +(1.53710 + 2.57630i) q^{18} +(4.60773 - 2.66027i) q^{19} +(-0.460630 - 2.01815i) q^{20} +(2.73488 + 3.67701i) q^{21} +(-0.228184 + 0.999739i) q^{22} +(-1.42210 - 4.61033i) q^{23} +(1.71973 - 0.206265i) q^{24} +(-0.261177 - 0.665468i) q^{25} +(-1.29285 + 0.398791i) q^{26} +(4.33922 - 2.85852i) q^{27} +(2.58144 - 0.579803i) q^{28} +(4.16214 - 0.949982i) q^{29} +(-3.45652 + 0.952789i) q^{30} +(1.32123 + 0.762813i) q^{31} +(0.294755 - 0.955573i) q^{32} +(1.74749 + 0.317681i) q^{33} +(-3.66135 - 2.91983i) q^{34} +(-5.10514 + 1.98326i) q^{35} +(-0.489623 - 2.95978i) q^{36} +(-5.35704 + 4.97061i) q^{37} +(-5.26112 + 0.792986i) q^{38} +(0.789814 + 2.20628i) q^{39} +(-0.308525 + 2.04693i) q^{40} +(-0.259828 + 0.125126i) q^{41} +(-1.20247 - 4.42200i) q^{42} +(-9.14839 - 4.40563i) q^{43} +(0.577656 - 0.847266i) q^{44} +(1.91539 + 5.90740i) q^{45} +(-0.360548 + 4.81118i) q^{46} +(3.37942 - 8.61062i) q^{47} +(-1.67620 - 0.436280i) q^{48} +(-2.51222 - 6.53366i) q^{49} +0.714885i q^{50} +(-4.76971 + 6.56068i) q^{51} +(1.34917 + 0.101107i) q^{52} +(6.36725 - 6.86227i) q^{53} +(-5.08360 + 1.07562i) q^{54} +(-0.921019 + 1.91252i) q^{55} +(-2.61482 - 0.403382i) q^{56} +(1.77814 + 9.04228i) q^{57} +(-4.22150 - 0.636288i) q^{58} +(-4.07112 + 2.77564i) q^{59} +(3.56568 + 0.375883i) q^{60} +(8.44089 + 9.09711i) q^{61} +(-0.951213 - 1.19278i) q^{62} +(-7.55872 + 2.42193i) q^{63} +(-0.623490 + 0.781831i) q^{64} +(-2.79286 + 0.209296i) q^{65} +(-1.51063 - 0.934150i) q^{66} +(-4.21911 + 7.30771i) q^{67} +(2.34152 + 4.05563i) q^{68} +(8.35276 + 0.252575i) q^{69} +(5.47681 + 0.0189568i) q^{70} +(-3.45984 - 0.789685i) q^{71} +(-0.625551 + 2.93406i) q^{72} +(-8.01154 + 3.14430i) q^{73} +(6.80270 - 2.66986i) q^{74} +(1.23699 - 0.0551697i) q^{75} +(5.18715 + 1.18393i) q^{76} +(-2.44031 - 1.18562i) q^{77} +(0.0708283 - 2.34232i) q^{78} +(-3.94753 - 6.83732i) q^{79} +(1.03503 - 1.79272i) q^{80} +(2.25350 + 8.71331i) q^{81} +(0.287581 - 0.0215512i) q^{82} +(-7.57608 + 9.50010i) q^{83} +(-0.496191 + 4.55563i) q^{84} +(-6.04420 - 7.57918i) q^{85} +(6.90644 + 7.44337i) q^{86} +(-0.775204 + 7.35369i) q^{87} +(-0.847266 + 0.577656i) q^{88} +(11.2248 + 1.69187i) q^{89} +(0.375228 - 6.19881i) q^{90} +(-0.255146 - 3.57049i) q^{91} +(2.09335 - 4.34688i) q^{92} +(-1.99050 + 1.73796i) q^{93} +(-6.29162 + 6.78076i) q^{94} +(-10.9830 - 0.823063i) q^{95} +(1.40094 + 1.01851i) q^{96} +0.848119i q^{97} +(-0.0484574 + 6.99983i) q^{98} +(-1.49981 + 2.68598i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 216 q - 18 q^{4} + 14 q^{6} + 10 q^{7} + 16 q^{9}+O(q^{10}) $ 216 * q - 18 * q^4 + 14 * q^6 + 10 * q^7 + 16 * q^9	$ 216 q - 18 q^{4} + 14 q^{6} + 10 q^{7} + 16 q^{9} + 6 q^{10} - 12 q^{15} + 18 q^{16} - 4 q^{18} - 12 q^{19} + 10 q^{22} - 6 q^{24} + 16 q^{25} - 42 q^{27} + 2 q^{28} + 4 q^{30} + 6 q^{31} + 18 q^{33} - 10 q^{36} - 36 q^{37} + 4 q^{39} - 22 q^{40} + 20 q^{42} + 40 q^{43} - 14 q^{45} - 156 q^{46} - 134 q^{49} - 12 q^{51} + 16 q^{52} - 18 q^{54} - 322 q^{55} - 34 q^{57} - 164 q^{58} - 6 q^{60} + 56 q^{61} - 24 q^{63} + 36 q^{64} - 28 q^{69} - 4 q^{70} + 4 q^{72} - 24 q^{73} + 84 q^{75} + 16 q^{78} + 22 q^{79} - 52 q^{81} + 24 q^{82} + 42 q^{84} + 32 q^{85} - 94 q^{87} - 2 q^{88} + 42 q^{90} - 100 q^{91} - 266 q^{93} - 88 q^{94} - 6 q^{96} + 224 q^{99}+O(q^{100}) $ 216 * q - 18 * q^4 + 14 * q^6 + 10 * q^7 + 16 * q^9 + 6 * q^10 - 12 * q^15 + 18 * q^16 - 4 * q^18 - 12 * q^19 + 10 * q^22 - 6 * q^24 + 16 * q^25 - 42 * q^27 + 2 * q^28 + 4 * q^30 + 6 * q^31 + 18 * q^33 - 10 * q^36 - 36 * q^37 + 4 * q^39 - 22 * q^40 + 20 * q^42 + 40 * q^43 - 14 * q^45 - 156 * q^46 - 134 * q^49 - 12 * q^51 + 16 * q^52 - 18 * q^54 - 322 * q^55 - 34 * q^57 - 164 * q^58 - 6 * q^60 + 56 * q^61 - 24 * q^63 + 36 * q^64 - 28 * q^69 - 4 * q^70 + 4 * q^72 - 24 * q^73 + 84 * q^75 + 16 * q^78 + 22 * q^79 - 52 * q^81 + 24 * q^82 + 42 * q^84 + 32 * q^85 - 94 * q^87 - 2 * q^88 + 42 * q^90 - 100 * q^91 - 266 * q^93 - 88 * q^94 - 6 * q^96 + 224 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/294\mathbb{Z}\right)^\times$.

$n$	$197$	$199$
$\chi(n)$	$-1$	$e\left(\frac{1}{42}\right)$

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 $

$2$	−0.930874	−	0.365341i	−0.658227	−	0.258335i
$2$	−0.930874	−	0.365341i	−0.658227	−	0.258335i
$3$	−0.560323	+	1.63891i	−0.323502	+	0.946227i
$3$	−0.560323	+	1.63891i	−0.323502	+	0.946227i
$4$	0.733052	+	0.680173i	0.366526	+	0.340086i
$5$	−1.71036	−	1.16610i	−0.764895	−	0.521497i	0.116892	−	0.993145i	$-0.462707\pi$
$5$	−1.71036	−	1.16610i	−0.764895	−	0.521497i	−0.881787	+	0.471648i	$0.843659\pi$
$6$	1.12035	−	1.32091i	0.457382	−	0.539260i
$7$	1.49796	−	2.18085i	0.566177	−	0.824284i
$7$	1.49796	−	2.18085i	0.566177	−	0.824284i
$8$	−0.433884	−	0.900969i	−0.153401	−	0.318541i
$9$	−2.37208	−	1.83664i	−0.790692	−	0.612214i
$10$	1.16610	+	1.71036i	0.368754	+	0.540862i
$11$	−0.152835	−	1.01400i	−0.0460816	−	0.305731i	−0.999984	−	0.00561504i	$-0.998213\pi$
$11$	−0.152835	−	1.01400i	−0.0460816	−	0.305731i	0.953903	−	0.300116i	$-0.0970254\pi$
$12$	−1.52549	+	0.820293i	−0.440371	+	0.236798i
$13$	1.05779	−	0.843556i	0.293377	−	0.233960i	−0.465729	−	0.884927i	$-0.654208\pi$
$13$	1.05779	−	0.843556i	0.293377	−	0.233960i	0.759106	+	0.650967i	$0.225636\pi$
$14$	−2.19117	+	1.48283i	−0.585614	+	0.396303i
$15$	2.86949	−	2.14973i	0.740900	−	0.555059i
$16$	0.0747301	+	0.997204i	0.0186825	+	0.249301i
$17$	4.47499	+	1.38035i	1.08534	+	0.334784i	0.785284	−	0.619136i	$-0.212517\pi$
$17$	4.47499	+	1.38035i	1.08534	+	0.334784i	0.300060	+	0.953920i	$0.402993\pi$
$18$	1.53710	+	2.57630i	0.362299	+	0.607239i
$19$	4.60773	−	2.66027i	1.05709	−	0.610309i	0.132461	−	0.991188i	$-0.457712\pi$
$19$	4.60773	−	2.66027i	1.05709	−	0.610309i	0.924625	+	0.380880i	$0.124379\pi$
$20$	−0.460630	−	2.01815i	−0.103000	−	0.451272i
$21$	2.73488	+	3.67701i	0.596801	+	0.802390i
$22$	−0.228184	+	0.999739i	−0.0486490	+	0.213145i
$23$	−1.42210	−	4.61033i	−0.296528	−	0.961320i	−0.974149	−	0.225908i	$-0.927465\pi$
$23$	−1.42210	−	4.61033i	−0.296528	−	0.961320i	0.677621	−	0.735411i	$-0.263011\pi$
$24$	1.71973	−	0.206265i	0.351037	−	0.0421036i
$25$	−0.261177	−	0.665468i	−0.0522354	−	0.133094i
$26$	−1.29285	+	0.398791i	−0.253549	+	0.0782094i
$27$	4.33922	−	2.85852i	0.835084	−	0.550122i
$28$	2.58144	−	0.579803i	0.487846	−	0.109573i
$29$	4.16214	−	0.949982i	0.772891	−	0.176407i	0.182152	−	0.983270i	$-0.441694\pi$
$29$	4.16214	−	0.949982i	0.772891	−	0.176407i	0.590739	+	0.806863i	$0.298836\pi$
$30$	−3.45652	+	0.952789i	−0.631072	+	0.173955i
$31$	1.32123	+	0.762813i	0.237300	+	0.137005i	0.613935	−	0.789356i	$-0.289586\pi$
$31$	1.32123	+	0.762813i	0.237300	+	0.137005i	−0.376635	+	0.926362i	$0.622919\pi$
$32$	0.294755	−	0.955573i	0.0521058	−	0.168923i
$33$	1.74749	+	0.317681i	0.304199	+	0.0553011i
$34$	−3.66135	−	2.91983i	−0.627916	−	0.500746i
$35$	−5.10514	+	1.98326i	−0.862927	+	0.335232i
$36$	−0.489623	−	2.95978i	−0.0816038	−	0.493296i
$37$	−5.35704	+	4.97061i	−0.880693	+	0.817163i	−0.984126	−	0.177473i	$-0.943208\pi$
$37$	−5.35704	+	4.97061i	−0.880693	+	0.817163i	0.103433	+	0.994636i	$0.467017\pi$
$38$	−5.26112	+	0.792986i	−0.853466	+	0.128639i
$39$	0.789814	+	2.20628i	0.126471	+	0.353288i
$40$	−0.308525	+	2.04693i	−0.0487821	+	0.323648i
$41$	−0.259828	+	0.125126i	−0.0405783	+	0.0195415i	−0.454063	−	0.890970i	$-0.650026\pi$
$41$	−0.259828	+	0.125126i	−0.0405783	+	0.0195415i	0.413485	+	0.910511i	$0.364312\pi$
$42$	−1.20247	−	4.42200i	−0.185545	−	0.682329i
$43$	−9.14839	−	4.40563i	−1.39512	−	0.671853i	−0.422953	−	0.906152i	$-0.639006\pi$
$43$	−9.14839	−	4.40563i	−1.39512	−	0.671853i	−0.972165	+	0.234299i	$0.924721\pi$
$44$	0.577656	−	0.847266i	0.0870849	−	0.127730i
$45$	1.91539	+	5.90740i	0.285529	+	0.880623i
$46$	−0.360548	+	4.81118i	−0.0531599	+	0.709370i
$47$	3.37942	−	8.61062i	0.492939	−	1.25599i	−0.440662	−	0.897673i	$-0.645256\pi$
$47$	3.37942	−	8.61062i	0.492939	−	1.25599i	0.933601	−	0.358315i	$-0.116649\pi$
$48$	−1.67620	−	0.436280i	−0.241939	−	0.0629715i
$49$	−2.51222	−	6.53366i	−0.358888	−	0.933381i
$50$			0.714885i			0.101100i
$51$	−4.76971	+	6.56068i	−0.667893	+	0.918678i
$52$	1.34917	+	0.101107i	0.187097	+	0.0140210i
$53$	6.36725	−	6.86227i	0.874609	−	0.942605i	−0.124157	−	0.992263i	$-0.539623\pi$
$53$	6.36725	−	6.86227i	0.874609	−	0.942605i	0.998766	+	0.0496578i	$0.0158131\pi$
$54$	−5.08360	+	1.07562i	−0.691791	+	0.146374i
$55$	−0.921019	+	1.91252i	−0.124190	+	0.257884i
$56$	−2.61482	−	0.403382i	−0.349420	−	0.0539042i
$57$	1.77814	+	9.04228i	0.235521	+	1.19768i
$58$	−4.22150	−	0.636288i	−0.554310	−	0.0835488i
$59$	−4.07112	+	2.77564i	−0.530015	+	0.361358i	−0.798566	−	0.601907i	$-0.794408\pi$
$59$	−4.07112	+	2.77564i	−0.530015	+	0.361358i	0.268551	+	0.963265i	$0.413455\pi$
$60$	3.56568	+	0.375883i	0.460327	+	0.0485263i
$61$	8.44089	+	9.09711i	1.08074	+	1.16477i	0.985564	+	0.169306i	$0.0541525\pi$
$61$	8.44089	+	9.09711i	1.08074	+	1.16477i	0.0951811	+	0.995460i	$0.469657\pi$
$62$	−0.951213	−	1.19278i	−0.120804	−	0.151484i
$63$	−7.55872	+	2.42193i	−0.952309	+	0.305134i
$64$	−0.623490	+	0.781831i	−0.0779362	+	0.0977289i
$65$	−2.79286	+	0.209296i	−0.346412	+	0.0259600i
$66$	−1.51063	−	0.934150i	−0.185946	−	0.114986i
$67$	−4.21911	+	7.30771i	−0.515446	+	0.892779i	0.484393	+	0.874851i	$0.339041\pi$
$67$	−4.21911	+	7.30771i	−0.515446	+	0.892779i	−0.999839	+	0.0179288i	$0.994293\pi$
$68$	2.34152	+	4.05563i	0.283951	+	0.491818i
$69$	8.35276	+	0.252575i	1.00555	+	0.0304064i
$70$	5.47681	+	0.0189568i	0.654604	+	0.00226577i
$71$	−3.45984	−	0.789685i	−0.410607	−	0.0937184i	0.0122276	−	0.999925i	$-0.496108\pi$
$71$	−3.45984	−	0.789685i	−0.410607	−	0.0937184i	−0.422835	+	0.906207i	$0.638965\pi$
$72$	−0.625551	+	2.93406i	−0.0737218	+	0.345782i
$73$	−8.01154	+	3.14430i	−0.937680	+	0.368012i	−0.784460	−	0.620180i	$-0.787060\pi$
$73$	−8.01154	+	3.14430i	−0.937680	+	0.368012i	−0.153220	+	0.988192i	$0.548964\pi$
$74$	6.80270	−	2.66986i	0.790798	−	0.310365i
$75$	1.23699	−	0.0551697i	0.142835	−	0.00637045i
$76$	5.18715	+	1.18393i	0.595007	+	0.135806i
$77$	−2.44031	−	1.18562i	−0.278100	−	0.135114i
$78$	0.0708283	−	2.34232i	0.00801972	−	0.265216i
$79$	−3.94753	−	6.83732i	−0.444131	−	0.769258i	0.553860	−	0.832610i	$-0.313154\pi$
$79$	−3.94753	−	6.83732i	−0.444131	−	0.769258i	−0.997991	+	0.0633517i	$0.979821\pi$
$80$	1.03503	−	1.79272i	0.115719	−	0.200432i
$81$	2.25350	+	8.71331i	0.250389	+	0.968145i
$82$	0.287581	−	0.0215512i	0.0317580	−	0.00237993i
$83$	−7.57608	+	9.50010i	−0.831583	+	1.04277i	0.166804	+	0.985990i	$0.446655\pi$
$83$	−7.57608	+	9.50010i	−0.831583	+	1.04277i	−0.998387	+	0.0567815i	$0.981916\pi$
$84$	−0.496191	+	4.55563i	−0.0541388	+	0.497060i
$85$	−6.04420	−	7.57918i	−0.655585	−	0.822078i
$86$	6.90644	+	7.44337i	0.744741	+	0.802640i
$87$	−0.775204	+	7.35369i	−0.0831106	+	0.788399i
$88$	−0.847266	+	0.577656i	−0.0903188	+	0.0615783i
$89$	11.2248	+	1.69187i	1.18983	+	0.179338i	0.713966	−	0.700181i	$-0.246897\pi$
$89$	11.2248	+	1.69187i	1.18983	+	0.179338i	0.475864	+	0.879519i	$0.342135\pi$
$90$	0.375228	−	6.19881i	0.0395525	−	0.653412i
$91$	−0.255146	−	3.57049i	−0.0267466	−	0.374289i
$92$	2.09335	−	4.34688i	0.218247	−	0.453194i
$93$	−1.99050	+	1.73796i	−0.206405	+	0.180218i
$94$	−6.29162	+	6.78076i	−0.648932	+	0.699382i
$95$	−10.9830	−	0.823063i	−1.12683	−	0.0844445i
$96$	1.40094	+	1.01851i	0.142983	+	0.103951i
$97$			0.848119i			0.0861134i	0.999073	+	0.0430567i	$0.0137096\pi$
$97$			0.848119i			0.0861134i	−0.999073	+	0.0430567i	$0.986290\pi$
$98$	−0.0484574	+	6.99983i	−0.00489494	+	0.707090i
$99$	−1.49981	+	2.68598i	−0.150736	+	0.269951i
$100$	0.261177	−	0.665468i	0.0261177	−	0.0665468i
$101$	−1.12099	+	14.9586i	−0.111543	+	1.48843i	0.607974	+	0.793957i	$0.291982\pi$
$101$	−1.12099	+	14.9586i	−0.111543	+	1.48843i	−0.719517	+	0.694475i	$0.755637\pi$
$102$	6.83688	−	4.36459i	0.676952	−	0.432159i
$103$	7.95443	−	11.6670i	0.783773	−	1.14958i	−0.201649	−	0.979458i	$-0.564630\pi$
$103$	7.95443	−	11.6670i	0.783773	−	1.14958i	0.985422	−	0.170126i	$-0.0544175\pi$
$104$	−1.21897	−	0.587027i	−0.119530	−	0.0575627i
$105$	−0.389860	−	9.47816i	−0.0380464	−	0.924973i
$106$	−8.43418	+	4.06168i	−0.819200	+	0.394506i
$107$	−0.647213	+	4.29398i	−0.0625685	+	0.415115i	0.935518	+	0.353279i	$0.114933\pi$
$107$	−0.647213	+	4.29398i	−0.0625685	+	0.415115i	−0.998086	+	0.0618354i	$0.980305\pi$
$108$	5.12516	+	0.855980i	0.493169	+	0.0823667i
$109$	13.0650	−	1.96923i	1.25140	−	0.188618i	0.510291	−	0.860002i	$-0.329538\pi$
$109$	13.0650	−	1.96923i	1.25140	−	0.188618i	0.741110	+	0.671383i	$0.234300\pi$
$110$	1.55607	−	1.44382i	0.148366	−	0.137663i
$111$	−5.14473	−	11.5649i	−0.488316	−	1.09769i
$112$	2.28670	+	1.33080i	0.216072	+	0.125749i
$113$	−9.33205	−	7.44206i	−0.877886	−	0.700090i	0.0770106	−	0.997030i	$-0.475462\pi$
$113$	−9.33205	−	7.44206i	−0.877886	−	0.700090i	−0.954896	+	0.296940i	$0.904034\pi$
$114$	1.64829	−	9.06685i	0.154376	−	0.849188i
$115$	−2.94382	+	9.54362i	−0.274512	+	0.889947i
$116$	3.69722	+	2.13459i	0.343278	+	0.198192i
$117$	−4.05846	+	0.0582074i	−0.375204	+	0.00538127i
$118$	4.80376	−	1.09643i	0.442222	−	0.100934i
$119$	9.71370	−	7.69156i	0.890453	−	0.705084i
$120$	−3.18187	−	1.65259i	−0.290464	−	0.150860i
$121$	9.50647	−	2.93236i	0.864225	−	0.266578i
$122$	−4.53385	−	11.5521i	−0.410476	−	1.04587i
$123$	−0.0594841	−	0.495946i	−0.00536350	−	0.0447180i
$124$	0.449686	+	1.45785i	0.0403830	+	0.130919i
$125$	−2.63245	+	11.5335i	−0.235453	+	1.03159i
$126$	7.92104	+	0.507003i	0.705663	+	0.0451674i
$127$	−1.91521	−	8.39108i	−0.169947	−	0.744588i	−0.986018	−	0.166637i	$-0.946709\pi$
$127$	−1.91521	−	8.39108i	−0.169947	−	0.744588i	0.816071	−	0.577952i	$-0.196148\pi$
$128$	0.866025	−	0.500000i	0.0765466	−	0.0441942i
$129$	12.3465	−	12.5249i	1.08705	−	1.10275i
$130$	2.67627	+	0.825519i	0.234724	+	0.0724028i
$131$	−0.473197	−	6.31438i	−0.0413434	−	0.551690i	−0.978964	−	0.204031i	$-0.934596\pi$
$131$	−0.473197	−	6.31438i	−0.0413434	−	0.551690i	0.937621	−	0.347659i	$-0.113023\pi$
$132$	1.06492	+	1.42147i	0.0926895	+	0.123723i
$133$	1.10054	−	14.0338i	0.0954293	−	1.21688i
$134$	6.59727	−	5.26115i	0.569917	−	0.454494i
$135$	−10.7549	−	0.170889i	−0.925639	−	0.0147078i
$136$	−0.697971	−	4.63073i	−0.0598505	−	0.397082i
$137$	−8.19177	−	12.0151i	−0.699870	−	1.02652i	−0.997418	−	0.0718139i	$-0.977121\pi$
$137$	−8.19177	−	12.0151i	−0.699870	−	1.02652i	0.297548	−	0.954707i	$-0.403831\pi$
$138$	−7.68309	−	3.28672i	−0.654028	−	0.279784i
$139$	−2.89183	−	6.00494i	−0.245282	−	0.509333i	0.741587	−	0.670857i	$-0.234073\pi$
$139$	−2.89183	−	6.00494i	−0.245282	−	0.509333i	−0.986869	+	0.161524i	$0.948359\pi$
$140$	−5.09129	−	2.01855i	−0.430293	−	0.170599i
$141$	12.2185	+	10.3633i	1.02898	+	0.872747i
$142$	2.93217	+	1.99912i	0.246062	+	0.167762i
$143$	−1.01703	−	0.943664i	−0.0850482	−	0.0789132i
$144$	1.65424	−	2.50270i	0.137853	−	0.208558i
$145$	−8.22653	−	3.22867i	−0.683176	−	0.268127i
$146$	8.60648			0.712277
$147$	12.1158	−	0.456350i	0.999291	−	0.0376391i
$148$	−7.30786			−0.600703
$149$	9.27118	+	3.63867i	0.759525	+	0.298092i	0.713318	−	0.700840i	$-0.247191\pi$
$149$	9.27118	+	3.63867i	0.759525	+	0.298092i	0.0462068	+	0.998932i	$0.485287\pi$
$150$	−1.17163	−	0.400566i	−0.0956636	−	0.0327061i
$151$	9.03403	+	8.38236i	0.735179	+	0.682147i	0.956066	−	0.293153i	$-0.0947045\pi$
$151$	9.03403	+	8.38236i	0.735179	+	0.682147i	−0.220886	+	0.975300i	$0.570895\pi$
$152$	−4.39604	−	2.99717i	−0.356566	−	0.243103i
$153$	−8.07980	−	11.4932i	−0.653214	−	0.929173i
$154$	1.83847	+	1.99521i	0.148148	+	0.160778i
$155$	−1.37026	−	2.84537i	−0.110062	−	0.228546i
$156$	−0.921678	+	2.15453i	−0.0737933	+	0.172500i
$157$	−5.47885	−	8.03599i	−0.437260	−	0.641342i	0.542843	−	0.839834i	$-0.317348\pi$
$157$	−5.47885	−	8.03599i	−0.437260	−	0.641342i	−0.980102	+	0.198492i	$0.936396\pi$
$158$	1.17670	+	7.80687i	0.0936130	+	0.621081i
$159$	7.67895	+	14.2805i	0.608980	+	1.13251i
$160$	−1.61843	+	1.29066i	−0.127948	+	0.102035i
$161$	−12.1847	−	3.80471i	−0.960287	−	0.299853i
$162$	1.08560	−	8.93429i	0.0852931	−	0.701944i
$163$	0.733807	+	9.79197i	0.0574762	+	0.766966i	0.949258	+	0.314500i	$0.101837\pi$
$163$	0.733807	+	9.79197i	0.0574762	+	0.766966i	−0.891781	+	0.452466i	$0.850544\pi$
$164$	−0.275575	−	0.0850035i	−0.0215188	−	0.00663766i
$165$	−2.61838	−	2.58110i	−0.203841	−	0.200938i
$166$	10.5231	−	6.07554i	0.816755	−	0.471554i
$167$	2.73444	+	11.9804i	0.211597	+	0.927069i	0.963482	+	0.267774i	$0.0862880\pi$
$167$	2.73444	+	11.9804i	0.211597	+	0.927069i	−0.751884	+	0.659295i	$0.770855\pi$
$168$	2.12625	−	4.05944i	0.164044	−	0.313193i
$169$	−2.48545	+	10.8895i	−0.191188	+	0.837651i
$170$	2.85740	+	9.26345i	0.219152	+	0.710474i
$171$	−15.8159	−	2.15237i	−1.20947	−	0.164596i
$172$	−3.70966	−	9.45205i	−0.282859	−	0.720712i
$173$	12.5734	−	3.87836i	0.955934	−	0.294867i	0.222734	−	0.974879i	$-0.428502\pi$
$173$	12.5734	−	3.87836i	0.955934	−	0.294867i	0.733200	+	0.680013i	$0.238026\pi$
$174$	3.40822	−	6.56215i	0.258377	−	0.497475i
$175$	−1.84252	−	0.427258i	−0.139281	−	0.0322977i
$176$	0.999739	−	0.228184i	0.0753581	−	0.0172000i
$177$	−2.26790	−	8.22748i	−0.170466	−	0.618415i
$178$	−9.83079	−	5.67581i	−0.736849	−	0.425420i
$179$	−6.96705	+	22.5866i	−0.520741	+	1.68820i	0.187527	+	0.982259i	$0.439953\pi$
$179$	−6.96705	+	22.5866i	−0.520741	+	1.68820i	−0.708269	+	0.705943i	$0.750524\pi$
$180$	−2.61397	+	5.63322i	−0.194834	+	0.419876i
$181$	6.29162	+	5.01740i	0.467652	+	0.372940i	0.828779	−	0.559577i	$-0.189036\pi$
$181$	6.29162	+	5.01740i	0.467652	+	0.372940i	−0.361126	+	0.932517i	$0.617608\pi$
$182$	−1.06694	+	3.41689i	−0.0790866	+	0.253277i
$183$	−19.6390	+	8.73657i	−1.45176	+	0.645826i
$184$	−3.53674	+	3.28161i	−0.260732	+	0.241924i
$185$	14.9587	−	2.25466i	1.09979	−	0.165766i
$186$	2.48785	−	0.890612i	0.182418	−	0.0653029i
$187$	0.715734	−	4.74858i	0.0523396	−	0.347251i
$188$	8.33400	−	4.01344i	0.607819	−	0.292710i
$189$	0.265992	−	13.7452i	0.0193481	−	0.999813i
$190$	9.92310	+	4.77871i	0.719897	+	0.346684i
$191$	3.79860	−	5.57153i	0.274857	−	0.403141i	−0.663845	−	0.747870i	$-0.731077\pi$
$191$	3.79860	−	5.57153i	0.274857	−	0.403141i	0.938702	+	0.344729i	$0.112029\pi$
$192$	−0.931999	−	1.45992i	−0.0672612	−	0.105361i
$193$	−1.47731	+	19.7133i	−0.106339	+	1.41899i	0.647566	+	0.762009i	$0.275787\pi$
$193$	−1.47731	+	19.7133i	−0.106339	+	1.41899i	−0.753905	+	0.656984i	$0.771832\pi$
$194$	0.309853	−	0.789492i	0.0222461	−	0.0566822i
$195$	1.22189	−	4.69453i	0.0875010	−	0.336183i
$196$	2.60243	−	6.49826i	0.185888	−	0.464161i
$197$			24.1750i			1.72240i	0.508269	+	0.861198i	$0.330286\pi$
$197$			24.1750i			1.72240i	−0.508269	+	0.861198i	$0.669714\pi$
$198$	2.37743	−	1.95237i	0.168957	−	0.138749i
$199$	23.4972	+	1.76087i	1.66567	+	0.124825i	0.873938	−	0.486038i	$-0.161558\pi$
$199$	23.4972	+	1.76087i	1.66567	+	0.124825i	0.791736	+	0.610863i	$0.209177\pi$
$200$	−0.486245	+	0.524048i	−0.0343827	+	0.0370558i
$201$	−9.61265	−	11.0094i	−0.678024	−	0.776546i
$202$	6.50847	−	13.5150i	0.457935	−	0.950911i
$203$	4.16297	−	10.5001i	0.292183	−	0.736959i
$204$	−7.95884	+	1.56509i	−0.557230	+	0.109578i
$205$	0.590308	+	0.0889746i	0.0412289	+	0.00621426i
$206$	−11.6670	+	7.95443i	−0.812879	+	0.554211i
$207$	−5.09419	+	13.5479i	−0.354071	+	0.941646i
$208$	0.920245	+	0.991788i	0.0638075	+	0.0687682i
$209$	−3.40173	−	4.26563i	−0.235302	−	0.295060i
$210$	−3.09985	+	8.96540i	−0.213910	+	0.618671i
$211$	8.12547	−	10.1890i	0.559380	−	0.701441i	−0.419063	−	0.907957i	$-0.637641\pi$
$211$	8.12547	−	10.1890i	0.559380	−	0.701441i	0.978443	+	0.206517i	$0.0662128\pi$
$212$	9.33505	−	0.699565i	0.641134	−	0.0480464i
$213$	3.23285	−	5.22789i	0.221511	−	0.358209i
$214$	2.17124	−	3.76070i	0.148423	−	0.257076i
$215$	10.5096	+	18.2032i	0.716749	+	1.24145i
$216$	−4.45816	−	2.66924i	−0.303339	−	0.181619i
$217$	3.64274	−	1.73874i	0.247285	−	0.118034i
$218$	−12.8813	−	2.94008i	−0.872433	−	0.199127i
$219$	−0.664187	−	14.8921i	−0.0448816	−	1.00631i
$220$	−1.97600	+	0.775521i	−0.133222	+	0.0522856i
$221$	5.89798	−	2.31479i	0.396741	−	0.155709i
$222$	0.563969	+	12.6450i	0.0378511	+	0.848678i
$223$	5.23443	+	1.19472i	0.350523	+	0.0800046i	0.394157	−	0.919043i	$-0.371036\pi$
$223$	5.23443	+	1.19472i	0.350523	+	0.0800046i	−0.0436343	+	0.999048i	$0.513894\pi$
$224$	−1.64243	−	2.07423i	−0.109739	−	0.138590i
$225$	−0.602693	+	2.05823i	−0.0401796	+	0.137215i
$226$	5.96807	+	10.3370i	0.396990	+	0.687607i
$227$	3.98583	−	6.90366i	0.264549	−	0.458212i	−0.702896	−	0.711292i	$-0.748110\pi$
$227$	3.98583	−	6.90366i	0.264549	−	0.458212i	0.967445	+	0.253080i	$0.0814436\pi$
$228$	−4.84684	+	7.83791i	−0.320990	+	0.519078i
$229$	−19.1751	+	1.43697i	−1.26712	+	0.0949578i	−0.691271	−	0.722596i	$-0.742949\pi$
$229$	−19.1751	+	1.43697i	−1.26712	+	0.0949578i	−0.575853	+	0.817553i	$0.695330\pi$
$230$	6.22699	−	7.80840i	0.410596	−	0.514871i
$231$	3.31049	−	3.33514i	0.217814	−	0.219436i
$232$	−2.66179	−	3.33778i	−0.174755	−	0.219136i
$233$	12.6015	+	13.5812i	0.825553	+	0.889735i	0.995407	−	0.0957344i	$-0.0305200\pi$
$233$	12.6015	+	13.5812i	0.825553	+	0.889735i	−0.169854	+	0.985469i	$0.554329\pi$
$234$	3.79918	+	1.42854i	0.248360	+	0.0933864i
$235$	−15.8209	+	10.7865i	−1.03204	+	0.703633i
$236$	−4.87226	−	0.734375i	−0.317157	−	0.0478038i
$237$	13.4177	−	2.63855i	0.871571	−	0.171392i
$238$	−11.8523	+	3.61106i	−0.768269	+	0.234070i
$239$	4.43885	−	9.21737i	0.287125	−	0.596222i	−0.706658	−	0.707556i	$-0.749798\pi$
$239$	4.43885	−	9.21737i	0.287125	−	0.596222i	0.993783	+	0.111334i	$0.0355122\pi$
$240$	2.35816	+	2.70082i	0.152219	+	0.174337i
$241$	2.42061	−	2.60879i	0.155925	−	0.168047i	−0.650258	−	0.759713i	$-0.725339\pi$
$241$	2.42061	−	2.60879i	0.155925	−	0.168047i	0.806183	+	0.591666i	$0.201530\pi$
$242$	−9.92064	−	0.743449i	−0.637723	−	0.0477907i
$243$	−15.5430	−	1.18897i	−0.997087	−	0.0762724i
$244$			12.4099i			0.794463i
$245$	−3.32213	+	14.1044i	−0.212243	+	0.901097i
$246$	−0.125817	+	0.483395i	−0.00802182	+	0.0308202i
$247$	2.62990	−	6.70087i	0.167336	−	0.426366i
$248$	0.114010	−	1.52136i	0.00723966	−	0.0966065i
$249$	−11.3248	−	17.7397i	−0.717680	−	1.12421i
$250$	6.66414	−	9.77449i	0.421477	−	0.618193i
$251$	11.9101	+	5.73558i	0.751756	+	0.362027i	0.770199	−	0.637803i	$-0.220157\pi$
$251$	11.9101	+	5.73558i	0.751756	+	0.362027i	−0.0184430	+	0.999830i	$0.505871\pi$
$252$	−7.18826	−	3.36584i	−0.452818	−	0.212028i
$253$	−4.45750	+	2.14662i	−0.280241	+	0.134957i
$254$	−1.28279	+	8.51074i	−0.0804893	+	0.534012i
$255$	15.8083	−	5.65913i	0.989956	−	0.354388i
$256$	−0.988831	+	0.149042i	−0.0618019	+	0.00931514i
$257$	0.0822866	−	0.0763508i	0.00513290	−	0.00476263i	−0.677602	−	0.735429i	$-0.736981\pi$
$257$	0.0822866	−	0.0763508i	0.00513290	−	0.00476263i	0.682735	+	0.730666i	$0.260790\pi$
$258$	−16.0689	+	7.14837i	−1.00040	+	0.445038i
$259$	2.81551	+	19.1287i	0.174947	+	1.18860i
$260$	−2.18967	−	1.74620i	−0.135798	−	0.108295i
$261$	−11.6177	−	5.39093i	−0.719118	−	0.333690i
$262$	−1.86641	+	6.05077i	−0.115307	+	0.373818i
$263$	−21.4714	−	12.3965i	−1.32398	−	0.764403i	−0.339623	−	0.940562i	$-0.610300\pi$
$263$	−21.4714	−	12.3965i	−1.32398	−	0.764403i	−0.984362	+	0.176159i	$0.943633\pi$
$264$	−0.471986	−	1.71227i	−0.0290487	−	0.105383i
$265$	−18.8924	+	4.31206i	−1.16055	+	0.264888i
$266$	−6.15157	+	12.6616i	−0.377177	+	0.776331i
$267$	−9.06236	+	17.4485i	−0.554607	+	1.06783i
$268$	−8.06334	+	2.48721i	−0.492547	+	0.151931i
$269$	7.71315	+	19.6528i	0.470279	+	1.19825i	0.947582	+	0.319513i	$0.103519\pi$
$269$	7.71315	+	19.6528i	0.470279	+	1.19825i	−0.477303	+	0.878739i	$0.658385\pi$
$270$	9.94907	+	4.08830i	0.605481	+	0.248806i
$271$	4.78741	+	15.5204i	0.290814	+	0.942797i	0.976613	+	0.215005i	$0.0689769\pi$
$271$	4.78741	+	15.5204i	0.290814	+	0.942797i	−0.685799	+	0.727791i	$0.740547\pi$
$272$	−1.04207	+	4.56563i	−0.0631851	+	0.276832i
$273$	5.99468	+	1.58246i	0.362815	+	0.0957749i
$274$	3.23589	+	14.1773i	0.195487	+	0.856485i
$275$	−0.634864	+	0.366539i	−0.0382837	+	0.0221031i
$276$	5.95121	+	5.86647i	0.358221	+	0.353120i
$277$	11.5556	+	3.56442i	0.694307	+	0.214165i	0.621770	−	0.783200i	$-0.286414\pi$
$277$	11.5556	+	3.56442i	0.694307	+	0.214165i	0.0725378	+	0.997366i	$0.476890\pi$
$278$	0.498075	+	6.64635i	0.0298725	+	0.398621i
$279$	−1.73305	−	4.23608i	−0.103755	−	0.253607i
$280$	4.00189	+	3.73907i	0.239159	+	0.223452i
$281$	1.40485	−	1.12033i	0.0838060	−	0.0668331i	−0.580691	−	0.814124i	$-0.697217\pi$
$281$	1.40485	−	1.12033i	0.0838060	−	0.0668331i	0.664497	+	0.747291i	$0.268646\pi$
$282$	−7.58774	−	14.1108i	−0.451843	−	0.840288i
$283$	−4.44340	−	29.4800i	−0.264133	−	1.75241i	−0.590383	−	0.807123i	$-0.701023\pi$
$283$	−4.44340	−	29.4800i	−0.264133	−	1.75241i	0.326250	−	0.945283i	$-0.394215\pi$
$284$	−1.99912	−	2.93217i	−0.118626	−	0.173992i
$285$	7.50296	−	17.5390i	0.444437	−	1.03892i
$286$	0.601966	+	1.24999i	0.0355950	+	0.0739137i
$287$	−0.116330	+	0.754080i	−0.00686674	+	0.0445119i
$288$	−2.45423	+	1.72533i	−0.144617	+	0.101666i
$289$	4.07408	+	2.77766i	0.239651	+	0.163392i
$290$	6.47829	+	6.01098i	0.380418	+	0.352977i
$291$	−1.38999	−	0.475220i	−0.0814829	−	0.0278579i
$292$	−8.01154	−	3.14430i	−0.468840	−	0.184006i
$293$	−10.3142			−0.602563			−0.301281	−	0.953535i	$-0.597414\pi$
$293$	−10.3142			−0.602563			−0.301281	+	0.953535i	$0.597414\pi$
$294$	−11.4450	−	4.00158i	−0.667484	−	0.233377i
$295$	10.1998			0.593853
$296$	6.80270	+	2.66986i	0.395399	+	0.155183i
$297$	−3.56171	−	3.96307i	−0.206671	−	0.229961i
$298$	−7.30095	−	6.77429i	−0.422932	−	0.392424i
$299$	−5.39334	−	3.67712i	−0.311905	−	0.212653i
$300$	0.944301	+	0.800923i	0.0545192	+	0.0462413i
$301$	−23.3120	+	13.3518i	−1.34368	+	0.769585i
$302$	−5.34713	−	11.1034i	−0.307693	−	0.638930i
$303$	−23.8877	−	10.2188i	−1.37231	−	0.587056i
$304$	2.99717	+	4.39604i	0.171900	+	0.252130i
$305$	−3.82877	−	25.4022i	−0.219235	−	1.45453i
$306$	3.32233	+	13.6506i	0.189925	+	0.780355i
$307$	0.781175	−	0.622966i	0.0445840	−	0.0355545i	−0.600944	−	0.799291i	$-0.705209\pi$
$307$	0.781175	−	0.622966i	0.0445840	−	0.0355545i	0.645528	+	0.763736i	$0.276637\pi$
$308$	−0.982453	−	2.52895i	−0.0559805	−	0.144100i
$309$	14.6642	+	19.5739i	0.834215	+	1.11352i
$310$	0.236007	+	3.14930i	0.0134043	+	0.178868i
$311$	−18.9442	−	5.84351i	−1.07423	−	0.331355i	−0.293328	−	0.956012i	$-0.594763\pi$
$311$	−18.9442	−	5.84351i	−1.07423	−	0.331355i	−0.780899	+	0.624657i	$0.785239\pi$
$312$	1.64510	−	1.66887i	0.0931357	−	0.0944810i
$313$	−19.0963	+	11.0253i	−1.07939	+	0.623184i	−0.930731	−	0.365705i	$-0.880828\pi$
$313$	−19.0963	+	11.0253i	−1.07939	+	0.623184i	−0.148656	+	0.988889i	$0.547495\pi$
$314$	2.16424	+	9.48214i	0.122135	+	0.535108i
$315$	15.7523	+	4.67188i	0.887543	+	0.263230i
$316$	1.75681	−	7.69711i	0.0988286	−	0.432996i
$317$	0.512646	+	1.66196i	0.0287931	+	0.0933449i	0.968829	−	0.247731i	$-0.0796849\pi$
$317$	0.512646	+	1.66196i	0.0287931	+	0.0933449i	−0.940036	+	0.341076i	$0.889209\pi$
$318$	−1.93089	−	16.0987i	−0.108279	−	0.902773i
$319$	−1.59940	−	4.07520i	−0.0895492	−	0.228168i
$320$	1.97809	−	0.610159i	0.110578	−	0.0341089i
$321$	−6.67482	−	3.46674i	−0.372552	−	0.193495i
$322$	9.95238	+	7.99327i	0.554625	+	0.445448i
$323$	24.2916	−	5.54441i	1.35162	−	0.308499i
$324$	−4.27462	+	7.92008i	−0.237479	+	0.440004i
$325$	−0.837628	−	0.483605i	−0.0464632	−	0.0268256i
$326$	2.89433	−	9.38318i	0.160302	−	0.519686i
$327$	−4.09322	+	22.5158i	−0.226355	+	1.24513i
$328$	0.225470	+	0.179806i	0.0124495	+	0.00992814i
$329$	−13.7162	−	20.2684i	−0.756200	−	1.11743i
$330$	1.49440	+	3.35928i	0.0822641	+	0.184922i
$331$	−1.49773	+	1.38969i	−0.0823225	+	0.0763841i	−0.720261	−	0.693703i	$-0.755978\pi$
$331$	−1.49773	+	1.38969i	−0.0823225	+	0.0763841i	0.637938	+	0.770087i	$0.279787\pi$
$332$	−12.0154	+	1.81103i	−0.659429	+	0.0993929i
$333$	21.8365	−	1.95171i	1.19664	−	0.106953i
$334$	1.83150	−	12.1512i	0.100215	−	0.664885i
$335$	15.7377	−	7.57889i	0.859844	−	0.414079i
$336$	−3.46235	+	3.00202i	−0.188887	+	0.163774i
$337$	25.4858	+	12.2733i	1.38830	+	0.668571i	0.970752	−	0.240083i	$-0.0771745\pi$
$337$	25.4858	+	12.2733i	1.38830	+	0.668571i	0.417550	+	0.908654i	$0.362889\pi$
$338$	6.29201	−	9.22868i	0.342240	−	0.501974i
$339$	17.4259	−	11.1245i	0.946443	−	0.604198i
$340$	0.724444	−	9.66703i	0.0392885	−	0.524268i
$341$	0.571559	−	1.45631i	0.0309516	−	0.0788635i
$342$	13.9362	+	7.78176i	0.753584	+	0.420790i
$343$	−18.0122	−	4.30841i	−0.972565	−	0.232632i
$344$			10.1540i			0.547464i
$345$	−13.9917	−	10.1722i	−0.753287	−	0.547651i
$346$	−13.1211	−	0.983293i	−0.705396	−	0.0528621i
$347$	14.5600	−	15.6919i	0.781622	−	0.842388i	−0.209156	−	0.977882i	$-0.567072\pi$
$347$	14.5600	−	15.6919i	0.781622	−	0.842388i	0.990778	+	0.135494i	$0.0432623\pi$
$348$	−5.57005	+	4.86336i	−0.298586	+	0.260704i
$349$	−12.6873	+	26.3454i	−0.679134	+	1.41024i	0.221283	+	0.975210i	$0.428975\pi$
$349$	−12.6873	+	26.3454i	−0.679134	+	1.41024i	−0.900417	+	0.435027i	$0.856739\pi$
$350$	1.55906	+	1.07087i	0.0833351	+	0.0572404i
$351$	2.17865	−	6.68408i	0.116288	−	0.356770i
$352$	−1.01400	−	0.152835i	−0.0540461	−	0.00814615i
$353$	−11.2634	+	7.67922i	−0.599488	+	0.408724i	−0.824687	−	0.565589i	$-0.808649\pi$
$353$	−11.2634	+	7.67922i	−0.599488	+	0.408724i	0.225200	+	0.974313i	$0.427697\pi$
$354$	−0.894706	+	8.48730i	−0.0475531	+	0.451095i
$355$	4.99670	+	5.38516i	0.265197	+	0.285815i
$356$	7.07762	+	8.87506i	0.375113	+	0.470377i
$357$	7.16301	+	20.2297i	0.379106	+	1.07067i
$358$	14.7373	−	18.4799i	0.778888	−	0.976695i
$359$	−0.0526932	+	0.00394881i	−0.00278104	+	0.000208410i	−0.0761205	−	0.997099i	$-0.524253\pi$
$359$	−0.0526932	+	0.00394881i	−0.00278104	+	0.000208410i	0.0733395	+	0.997307i	$0.476634\pi$
$360$	4.49132	−	4.28883i	0.236714	−	0.226041i
$361$	4.65411	−	8.06115i	0.244953	−	0.424271i
$362$	−4.02364	−	6.96915i	−0.211478	−	0.366290i
$363$	−0.520808	+	17.2234i	−0.0273353	+	0.903992i
$364$	2.24151	−	2.79089i	0.117487	−	0.146283i
$365$	17.3692	+	3.96440i	0.909144	+	0.207506i
$366$	21.4733	−	0.957709i	1.12243	−	0.0500602i
$367$	22.4426	−	8.80809i	1.17150	−	0.459778i	0.301803	−	0.953370i	$-0.402412\pi$
$367$	22.4426	−	8.80809i	1.17150	−	0.459778i	0.869694	+	0.493592i	$0.164316\pi$
$368$	4.49116	−	1.76265i	0.234118	−	0.0918845i
$369$	0.846143	+	0.180401i	0.0440485	+	0.00939128i
$370$	−14.7484	−	3.36622i	−0.766732	−	0.175001i
$371$	−5.42767	−	24.1654i	−0.281791	−	1.25461i
$372$	−2.64126	−	0.0798676i	−0.136943	−	0.00414094i
$373$	−10.3976	−	18.0091i	−0.538366	−	0.932477i	−0.998992	−	0.0448831i	$-0.985708\pi$
$373$	−10.3976	−	18.0091i	−0.538366	−	0.932477i	0.460626	−	0.887594i	$-0.347625\pi$
$374$	−2.40111	+	4.15884i	−0.124158	+	0.215049i
$375$	−17.4274	−	10.7768i	−0.899947	−	0.556513i
$376$	−9.22417	+	0.691256i	−0.475700	+	0.0356488i
$377$	3.60129	−	4.51588i	0.185476	−	0.232579i
$378$	−5.26927	+	12.6978i	−0.271022	+	0.653106i
$379$	−21.2827	−	26.6876i	−1.09322	−	1.37085i	−0.922710	−	0.385495i	$-0.874031\pi$
$379$	−21.2827	−	26.6876i	−1.09322	−	1.37085i	−0.170507	−	0.985356i	$-0.554541\pi$
$380$	−7.49129	−	8.07369i	−0.384295	−	0.414172i
$381$	14.8254	+	1.56285i	0.759528	+	0.0800672i
$382$	−5.57153	+	3.79860i	−0.285064	+	0.194353i
$383$	11.1918	+	1.68689i	0.571873	+	0.0861960i	0.428612	−	0.903489i	$-0.359003\pi$
$383$	11.1918	+	1.68689i	0.571873	+	0.0861960i	0.143262	+	0.989685i	$0.454241\pi$
$384$	0.334203	+	1.69950i	0.0170547	+	0.0867274i
$385$	2.79126	+	4.87348i	0.142256	+	0.248376i
$386$	8.57726	−	17.8109i	0.436571	−	0.906549i
$387$	13.6091	+	27.2528i	0.691791	+	1.38534i
$388$	−0.576867	+	0.621715i	−0.0292860	+	0.0315628i
$389$	−17.7677	−	1.33151i	−0.900858	−	0.0675100i	−0.383757	−	0.923434i	$-0.625370\pi$
$389$	−17.7677	−	1.33151i	−0.900858	−	0.0675100i	−0.517101	+	0.855924i	$0.672989\pi$
$390$	−2.85253	+	3.92361i	−0.144443	+	0.198680i
$391$		−	22.5941i		−	1.14263i
$392$	−4.79662	+	5.09828i	−0.242266	+	0.257502i
$393$	10.6139	+	2.76256i	0.535398	+	0.139353i
$394$	8.83212	−	22.5039i	0.444956	−	1.13373i
$395$	−1.22133	+	16.2975i	−0.0614516	+	0.820015i
$396$	−2.92637	+	0.948833i	−0.147055	+	0.0476807i
$397$	7.61725	−	11.1725i	0.382299	−	0.560729i	−0.586067	−	0.810262i	$-0.699325\pi$
$397$	7.61725	−	11.1725i	0.382299	−	0.560729i	0.968366	+	0.249533i	$0.0802770\pi$
$398$	−21.2296	−	10.2236i	−1.06414	−	0.512465i
$399$	22.3835	+	9.66713i	1.12057	+	0.483962i
$400$	0.644089	−	0.310177i	0.0322045	−	0.0155088i
$401$	1.64289	−	10.8998i	0.0820418	−	0.544312i	−0.909620	−	0.415442i	$-0.863627\pi$
$401$	1.64289	−	10.8998i	0.0820418	−	0.544312i	0.991662	−	0.128870i	$-0.0411350\pi$
$402$	4.92597	+	13.7603i	0.245685	+	0.686301i
$403$	2.04105	−	0.307639i	0.101672	−	0.0153246i
$404$	−10.9961	+	10.2029i	−0.547079	+	0.507615i
$405$	6.30631	−	17.5307i	0.313363	−	0.871106i
$406$	−7.71129	+	8.25332i	−0.382705	+	0.409605i
$407$	5.85892	+	4.67233i	0.290416	+	0.231599i
$408$	7.98046	+	1.45079i	0.395092	+	0.0718249i
$409$	1.48122	−	4.80199i	0.0732415	−	0.237443i	−0.911548	−	0.411193i	$-0.865112\pi$
$409$	1.48122	−	4.80199i	0.0732415	−	0.237443i	0.984790	+	0.173750i	$0.0555884\pi$
$410$	−0.516996	−	0.298488i	−0.0255326	−	0.0147413i
$411$	24.2818	−	6.69326i	1.19773	−	0.330154i
$412$	13.7666	−	3.14213i	0.678231	−	0.154802i
$413$	−0.0451224	+	13.0363i	−0.00222033	+	0.641475i
$414$	9.69166	−	10.7503i	0.476319	−	0.528348i
$415$	24.0359	−	7.41409i	1.17988	−	0.363943i
$416$	−0.494291	−	1.25943i	−0.0242346	−	0.0617488i
$417$	11.4619	−	1.37475i	0.561294	−	0.0673219i
$418$	1.60817	+	5.21356i	0.0786581	+	0.255003i
$419$	−8.98757	+	39.3771i	−0.439071	+	1.92370i	−0.0603776	+	0.998176i	$0.519230\pi$
$419$	−8.98757	+	39.3771i	−0.439071	+	1.92370i	−0.378694	+	0.925522i	$0.623627\pi$
$420$	6.16100	−	7.21315i	0.300626	−	0.351966i
$421$	5.39299	+	23.6282i	0.262838	+	1.15157i	0.918157	+	0.396217i	$0.129677\pi$
$421$	5.39299	+	23.6282i	0.262838	+	1.15157i	−0.655319	+	0.755352i	$0.727466\pi$
$422$	−11.2862	+	6.51612i	−0.549406	+	0.317200i
$423$	−23.8309	+	14.2183i	−1.15870	+	0.691316i
$424$	−8.94534	−	2.75927i	−0.434424	−	0.134002i
$425$	−0.250184	−	3.33847i	−0.0121357	−	0.161940i
$426$	−4.91934	+	3.68542i	−0.238343	+	0.178559i
$427$	32.4836	−	4.78118i	1.57199	−	0.231378i
$428$	−3.39509	+	2.70749i	−0.164108	+	0.130872i
$429$	2.11645	−	1.13807i	0.102183	−	0.0549463i
$430$	−3.13275	−	20.7844i	−0.151075	−	1.00231i
$431$	5.95742	+	8.73793i	0.286959	+	0.420891i	0.942468	−	0.334296i	$-0.108498\pi$
$431$	5.95742	+	8.73793i	0.286959	+	0.420891i	−0.655509	+	0.755187i	$0.727546\pi$
$432$	3.17480	+	4.11347i	0.152747	+	0.197910i
$433$	5.55334	+	11.5316i	0.266876	+	0.554174i	0.990741	−	0.135768i	$-0.0433501\pi$
$433$	5.55334	+	11.5316i	0.266876	+	0.554174i	−0.723864	+	0.689942i	$0.757636\pi$
$434$	−4.02616	+	0.287709i	−0.193262	+	0.0138105i
$435$	9.90103	−	11.6735i	0.474718	−	0.559700i
$436$	10.9168	+	7.44292i	0.522818	+	0.356451i
$437$	−18.8174	−	17.4600i	−0.900157	−	0.835223i
$438$	−4.82240	+	14.1053i	−0.230423	+	0.673976i
$439$	−10.6010	−	4.16058i	−0.505958	−	0.198574i	0.0986120	−	0.995126i	$-0.468560\pi$
$439$	−10.6010	−	4.16058i	−0.505958	−	0.198574i	−0.604570	+	0.796552i	$0.706655\pi$
$440$	2.12273			0.101197
$441$	−6.04082	+	20.1124i	−0.287658	+	0.957733i
$442$	−6.33596			−0.301371
$443$	−19.9123	−	7.81501i	−0.946063	−	0.371302i	−0.158377	−	0.987379i	$-0.550626\pi$
$443$	−19.9123	−	7.81501i	−0.946063	−	0.371302i	−0.787686	+	0.616076i	$0.788721\pi$
$444$	4.09476	−	11.9770i	0.194329	−	0.568401i
$445$	−17.2256	−	15.9830i	−0.816571	−	0.757667i
$446$	−4.43611	−	3.02449i	−0.210056	−	0.143214i
$447$	−11.1583	+	13.1558i	−0.527771	+	0.622250i
$448$	0.771093	+	2.53089i	0.0364307	+	0.119573i
$449$	−7.14104	−	14.8285i	−0.337006	−	0.699801i	0.661746	−	0.749728i	$-0.269816\pi$
$449$	−7.14104	−	14.8285i	−0.337006	−	0.699801i	−0.998753	+	0.0499266i	$0.984101\pi$
$450$	1.31299	−	1.69576i	0.0618948	−	0.0799390i
$451$	0.166588	+	0.244340i	0.00784434	+	0.0115055i
$452$	−1.77899	−	11.8028i	−0.0836766	−	0.555158i
$453$	−18.7999	+	10.1092i	−0.883298	+	0.474971i
$454$	−6.23250	+	4.97025i	−0.292506	+	0.233265i
$455$	−3.72716	+	6.40433i	−0.174732	+	0.300240i
$456$	7.37531	−	5.52535i	0.345380	−	0.258748i
$457$	2.16862	+	28.9382i	0.101444	+	1.35367i	0.783053	+	0.621955i	$0.213662\pi$
$457$	2.16862	+	28.9382i	0.101444	+	1.35367i	−0.681609	+	0.731717i	$0.738719\pi$
$458$	18.3746	+	5.66780i	0.858586	+	0.264839i
$459$	23.3637	−	6.80218i	1.09053	−	0.317499i
$460$	−8.64928	+	4.99366i	−0.403275	+	0.232831i
$461$	−5.15505	−	22.5857i	−0.240094	−	1.05192i	−0.940930	−	0.338600i	$-0.890047\pi$
$461$	−5.15505	−	22.5857i	−0.240094	−	1.05192i	0.700836	−	0.713323i	$-0.252811\pi$
$462$	−4.30011	+	1.89514i	−0.200059	+	0.0881697i
$463$	−6.55002	+	28.6975i	−0.304405	+	1.33369i	0.558997	+	0.829170i	$0.311186\pi$
$463$	−6.55002	+	28.6975i	−0.304405	+	1.33369i	−0.863402	+	0.504516i	$0.831671\pi$
$464$	1.25836	+	4.07951i	0.0584181	+	0.189387i
$465$	5.43111	−	0.651411i	0.251862	−	0.0302084i
$466$	−6.76865	−	17.2462i	−0.313552	−	0.798917i
$467$	7.41177	−	2.28623i	0.342976	−	0.105794i	−0.118482	−	0.992956i	$-0.537803\pi$
$467$	7.41177	−	2.28623i	0.342976	−	0.105794i	0.461458	+	0.887162i	$0.347327\pi$
$468$	−3.01465	−	2.71778i	−0.139352	−	0.125630i
$469$	9.61696	+	20.1479i	0.444070	+	0.930345i
$470$	18.6680	−	4.26084i	0.861090	−	0.196538i
$471$	16.2402	−	4.47661i	0.748310	−	0.206271i
$472$	4.26716	+	2.46365i	0.196412	+	0.113399i
$473$	−3.06910	+	9.94977i	−0.141117	+	0.457491i
$474$	−13.4541	−	2.44586i	−0.617968	−	0.112342i
$475$	−2.97376	−	2.37149i	−0.136445	−	0.108812i
$476$	12.3522	+	0.968678i	0.566164	+	0.0443993i
$477$	−27.7071	+	4.58347i	−1.26862	+	0.209863i
$478$	−7.49949	+	6.95851i	−0.343019	+	0.318275i
$479$	−20.0189	+	3.01736i	−0.914686	+	0.137867i	−0.589486	−	0.807778i	$-0.700670\pi$
$479$	−20.0189	+	3.01736i	−0.914686	+	0.137867i	−0.325200	+	0.945645i	$0.605432\pi$
$480$	−1.20843	−	3.37565i	−0.0551571	−	0.154077i
$481$	−1.47362	+	9.77680i	−0.0671911	+	0.445784i
$482$	−3.20638	+	1.54411i	−0.146046	+	0.0703323i
$483$	13.0629	−	17.8378i	0.594385	−	0.811647i
$484$	8.96325	+	4.31647i	0.407420	+	0.196203i
$485$	0.988993	−	1.45059i	0.0449079	−	0.0658677i
$486$	14.0342	+	6.78529i	0.636606	+	0.307787i
$487$	2.48073	−	33.1030i	0.112413	−	1.50004i	−0.600973	−	0.799269i	$-0.705220\pi$
$487$	2.48073	−	33.1030i	0.112413	−	1.50004i	0.713386	−	0.700772i	$-0.247161\pi$
$488$	4.53385	−	11.5521i	0.205238	−	0.522937i
$489$	−16.4594	−	4.28402i	−0.744318	−	0.193730i
$490$	8.24540	−	11.9157i	0.372489	−	0.538297i
$491$		−	38.5175i		−	1.73827i	−0.494575	−	0.869135i	$-0.664676\pi$
$491$		−	38.5175i		−	1.73827i	0.494575	−	0.869135i	$-0.335324\pi$
$492$	0.293724	−	0.404014i	0.0132421	−	0.0182143i
$493$	19.9368	+	1.49406i	0.897910	+	0.0672891i
$494$	−4.89621	+	5.27686i	−0.220291	+	0.237417i
$495$	5.69733	−	2.84505i	0.256076	−	0.127876i
$496$	−0.661945	+	1.37454i	−0.0297222	+	0.0617188i
$497$	−6.90489	+	6.36247i	−0.309727	+	0.285396i
$498$	4.06093	+	20.6508i	0.181975	+	0.925384i
$499$	10.6206	+	1.60079i	0.475442	+	0.0716614i	0.382392	−	0.924000i	$-0.375100\pi$
$499$	10.6206	+	1.60079i	0.475442	+	0.0716614i	0.0930499	+	0.995661i	$0.470338\pi$
$500$	−9.77449	+	6.66414i	−0.437129	+	0.298029i
$501$	−21.1670	−	2.23136i	−0.945670	−	0.0996897i
$502$	−8.99132	−	9.69034i	−0.401302	−	0.432501i
$503$	1.36120	+	1.70688i	0.0606927	+	0.0761062i	0.811251	−	0.584698i	$-0.198787\pi$
$503$	1.36120	+	1.70688i	0.0606927	+	0.0761062i	−0.750559	+	0.660804i	$0.770215\pi$
$504$	5.46169	+	5.75934i	0.243283	+	0.256541i
$505$	19.3605	−	24.2773i	0.861531	−	1.08033i
$506$	4.93362	−	0.369724i	0.219326	−	0.0164362i
$507$	−16.4542	−	10.1750i	−0.730758	−	0.451890i
$508$	4.30344	−	7.45377i	0.190934	−	0.330708i
$509$	−9.27108	−	16.0580i	−0.410933	−	0.711757i	0.584059	−	0.811711i	$-0.301464\pi$
$509$	−9.27108	−	16.0580i	−0.410933	−	0.711757i	−0.994992	+	0.0999541i	$0.968130\pi$
$510$	−16.7831	−	0.507495i	−0.743167	−	0.0224722i
$511$	−5.14374	+	22.1820i	−0.227546	+	0.981275i
$512$	0.974928	+	0.222521i	0.0430861	+	0.00983413i
$513$	12.3895	−	24.7148i	0.547011	−	1.09119i
$514$	−0.104492	+	0.0410103i	−0.00460897	+	0.00180889i
$515$	−27.2098	+	10.6791i	−1.19901	+	0.470576i
$516$	17.5697	−	0.783610i	0.773463	−	0.0344965i
$517$	−9.24762	−	2.11071i	−0.406710	−	0.0928289i
$518$	4.36762	−	18.8350i	0.191902	−	0.827563i
$519$	−0.688826	+	22.7798i	−0.0302361	+	0.999921i
$520$	1.40035	+	2.42547i	0.0614093	+	0.106364i
$521$	6.81855	−	11.8101i	0.298726	−	0.517409i	−0.677119	−	0.735874i	$-0.736772\pi$
$521$	6.81855	−	11.8101i	0.298726	−	0.517409i	0.975845	+	0.218465i	$0.0701049\pi$
$522$	8.84509	+	9.26270i	0.387139	+	0.405417i
$523$	−34.3974	+	2.57773i	−1.50409	+	0.112716i	−0.801121	−	0.598502i	$-0.795763\pi$
$523$	−34.3974	+	2.57773i	−1.50409	+	0.112716i	−0.702971	+	0.711218i	$0.748144\pi$
$524$	3.94799	−	4.95062i	0.172469	−	0.216269i
$525$	1.73264	−	2.78033i	0.0756188	−	0.121343i
$526$	15.4582	+	19.3840i	0.674011	+	0.845183i
$527$	4.85954	+	5.23734i	0.211685	+	0.228142i
$528$	−0.186203	+	1.76634i	−0.00810342	+	0.0768702i
$529$	−0.229258	+	0.156306i	−0.00996775	+	0.00679590i
$530$	19.1618	+	2.88818i	0.832335	+	0.125454i
$531$	14.7549	+	0.893147i	0.640307	+	0.0387593i
$532$	10.3521	−	9.53891i	0.448822	−	0.413564i
$533$	−0.169291	+	0.351536i	−0.00733280	+	0.0152267i
$534$	14.8106	−	12.9315i	0.640917	−	0.559602i
$535$	6.11419	−	6.58952i	0.264339	−	0.284890i
$536$	8.41463	+	0.630589i	0.363457	+	0.0272373i
$537$	−33.1137	−	24.0742i	−1.42896	−	1.03888i
$538$		−	21.1122i		−	0.910212i
$539$	−6.24115	+	3.54595i	−0.268825	+	0.152735i
$540$	−7.76770	−	7.44049i	−0.334269	−	0.320188i
$541$	10.7323	−	27.3453i	0.461416	−	1.17567i	−0.491080	−	0.871115i	$-0.663398\pi$
$541$	10.7323	−	27.3453i	0.461416	−	1.17567i	0.952495	−	0.304553i	$-0.0985071\pi$
$542$	1.21376	−	16.1966i	0.0521356	−	0.695702i
$543$	−11.7484	+	7.50006i	−0.504173	+	0.321858i
$544$	2.63805	−	3.86931i	0.113105	−	0.165895i
$545$	−24.6422	−	11.8670i	−1.05555	−	0.508328i
$546$	−5.00216	−	3.66318i	−0.214072	−	0.156769i
$547$	−15.7577	+	7.58852i	−0.673752	+	0.324462i	−0.739289	−	0.673388i	$-0.764838\pi$
$547$	−15.7577	+	7.58852i	−0.673752	+	0.324462i	0.0655373	+	0.997850i	$0.479124\pi$
$548$	2.16736	−	14.3795i	0.0925852	−	0.614263i
$549$	−3.31431	−	37.0819i	−0.141451	−	1.58262i
$550$	0.724890	−	0.109260i	0.0309094	−	0.00465884i
$551$	16.6508	−	15.4497i	0.709349	−	0.658179i
$552$	−3.39657	−	7.63517i	−0.144567	−	0.324974i
$553$	−20.8244	−	1.63308i	−0.885544	−	0.0694455i
$554$	−9.45456	−	7.53976i	−0.401686	−	0.320334i
$555$	−4.68650	+	25.7794i	−0.198931	+	1.09427i
$556$	1.96454	−	6.36888i	0.0833150	−	0.270101i
$557$	16.7946	+	9.69639i	0.711612	+	0.410849i	0.811658	−	0.584133i	$-0.198566\pi$
$557$	16.7946	+	9.69639i	0.711612	+	0.410849i	−0.100046	+	0.994983i	$0.531899\pi$
$558$	0.0656360	+	4.57641i	0.00277859	+	0.193735i
$559$	−13.3934	+	3.05696i	−0.566482	+	0.129296i
$560$	−2.35922	−	4.94266i	−0.0996952	−	0.208866i
$561$	7.38148	+	3.83376i	0.311646	+	0.161862i
$562$	−1.71703	+	0.529635i	−0.0724287	+	0.0223413i
$563$	11.6308	+	29.6348i	0.490180	+	1.24896i	0.935417	+	0.353546i	$0.115024\pi$
$563$	11.6308	+	29.6348i	0.490180	+	1.24896i	−0.445237	+	0.895413i	$0.646881\pi$
$564$	1.90796	+	15.9075i	0.0803395	+	0.669828i
$565$	7.28294	+	23.6107i	0.306396	+	0.993310i
$566$	−6.63402	+	29.0656i	−0.278849	+	1.22172i
$567$	22.3781	+	8.13766i	0.939791	+	0.341750i
$568$	0.789685	+	3.45984i	0.0331344	+	0.145171i
$569$	13.4382	−	7.75857i	0.563360	−	0.325256i	−0.191133	−	0.981564i	$-0.561216\pi$
$569$	13.4382	−	7.75857i	0.563360	−	0.325256i	0.754493	+	0.656308i	$0.227883\pi$
$570$	−13.3920	+	13.5855i	−0.560931	+	0.569033i
$571$	23.8802	+	7.36608i	0.999357	+	0.308261i	0.750924	−	0.660388i	$-0.229608\pi$
$571$	23.8802	+	7.36608i	0.999357	+	0.308261i	0.248433	+	0.968649i	$0.420084\pi$
$572$	−0.103680	−	1.38351i	−0.00433507	−	0.0578475i
$573$	7.00281	+	9.34743i	0.292547	+	0.390495i
$574$	0.383785	−	0.659453i	0.0160189	−	0.0275250i
$575$	−2.69660	+	2.15047i	−0.112456	+	0.0896808i
$576$	2.91491	−	0.709438i	0.121455	−	0.0295599i
$577$	6.08438	+	40.3672i	0.253296	+	1.68051i	0.647952	+	0.761681i	$0.275626\pi$
$577$	6.08438	+	40.3672i	0.253296	+	1.68051i	−0.394656	+	0.918829i	$0.629136\pi$
$578$	−2.77766	−	4.07408i	−0.115535	−	0.169459i
$579$	−31.4806	−	13.4670i	−1.30829	−	0.559668i
$580$	−3.83442	−	7.96225i	−0.159215	−	0.330614i
$581$	9.36962	+	30.7531i	0.388717	+	1.27585i
$582$	1.12029	+	0.950192i	0.0464376	+	0.0393867i
$583$	−7.93145	−	5.40757i	−0.328487	−	0.223959i
$584$	6.30899	+	5.85389i	0.261068	+	0.242236i
$585$	7.00929	+	4.63302i	0.289798	+	0.191552i
$586$	9.60123	+	3.76820i	0.396623	+	0.155663i
$587$	40.2456			1.66112			0.830558	−	0.556933i	$-0.188022\pi$
$587$	40.2456			1.66112			0.830558	+	0.556933i	$0.188022\pi$
$588$	9.19188	+	7.90628i	0.379067	+	0.326050i
$589$	8.11717			0.334462
$590$	−9.49469	−	3.72639i	−0.390890	−	0.153413i
$591$	−39.6207	−	13.5458i	−1.62978	−	0.557199i
$592$	−5.35704	−	4.97061i	−0.220173	−	0.204291i
$593$	−13.9181	−	9.48921i	−0.571549	−	0.389675i	0.242778	−	0.970082i	$-0.421941\pi$
$593$	−13.9181	−	9.48921i	−0.571549	−	0.389675i	−0.814327	+	0.580407i	$0.802894\pi$
$594$	1.86763	+	4.99036i	0.0766298	+	0.204757i
$595$	−25.5830	+	1.82816i	−1.04880	+	0.0749472i
$596$	4.32133	+	8.97334i	0.177009	+	0.367562i
$597$	−16.0519	+	37.5233i	−0.656962	+	1.53572i
$598$	3.67712	+	5.39334i	0.150369	+	0.220550i
$599$	4.99794	+	33.1592i	0.204210	+	1.35485i	0.822441	+	0.568850i	$0.192612\pi$
$599$	4.99794	+	33.1592i	0.204210	+	1.35485i	−0.618231	+	0.785996i	$0.712150\pi$
$600$	−0.586415	−	1.09055i	−0.0239403	−	0.0445215i
$601$	−12.1966	+	9.72647i	−0.497510	+	0.396751i	−0.839844	−	0.542827i	$-0.817354\pi$
$601$	−12.1966	+	9.72647i	−0.497510	+	0.396751i	0.342334	+	0.939578i	$0.388782\pi$
$602$	26.5785	−	3.91202i	1.08326	−	0.159442i
$603$	23.4297	−	9.58547i	0.954131	−	0.390351i
$604$	0.920964	+	12.2894i	0.0374735	+	0.500049i
$605$	−19.6789	−	6.07013i	−0.800061	−	0.246786i
$606$	18.5031	+	18.2396i	0.751635	+	0.740932i
$607$	−3.65598	+	2.11078i	−0.148392	+	0.0856739i	−0.572357	−	0.820004i	$-0.693971\pi$
$607$	−3.65598	+	2.11078i	−0.148392	+	0.0856739i	0.423966	+	0.905678i	$0.360638\pi$
$608$	−1.18393	−	5.18715i	−0.0480148	−	0.210367i
$609$	14.8761	+	12.7062i	0.602809	+	0.514880i
$610$	−5.71638	+	25.0451i	−0.231449	+	1.01405i
$611$	−3.68884	−	11.9589i	−0.149234	−	0.483806i
$612$	1.89447	−	13.9208i	0.0765795	−	0.562715i
$613$	−11.7487	−	29.9353i	−0.474527	−	1.20908i	−0.945120	−	0.326725i	$-0.894055\pi$
$613$	−11.7487	−	29.9353i	−0.474527	−	1.20908i	0.470593	−	0.882351i	$-0.344040\pi$
$614$	−0.954770	+	0.294507i	−0.0385314	+	0.0118854i
$615$	−0.476585	+	0.917610i	−0.0192178	+	0.0370016i
$616$	−0.00939069	+	2.71307i	−0.000378362	+	0.109313i
$617$	−24.0974	+	5.50007i	−0.970124	+	0.221424i	−0.678086	−	0.734983i	$-0.737190\pi$
$617$	−24.0974	+	5.50007i	−0.970124	+	0.221424i	−0.292037	+	0.956407i	$0.594333\pi$
$618$	−6.49934	−	23.5783i	−0.261442	−	0.948457i
$619$	4.09616	+	2.36492i	0.164639	+	0.0950542i	0.580055	−	0.814577i	$-0.303031\pi$
$619$	4.09616	+	2.36492i	0.164639	+	0.0950542i	−0.415417	+	0.909631i	$0.636364\pi$
$620$	0.930874	−	3.01782i	0.0373848	−	0.121199i
$621$	−19.3495	−	15.9402i	−0.776469	−	0.639656i
$622$	15.4998	+	12.3607i	0.621485	+	0.495618i
$623$	20.5041	−	21.9453i	0.821479	−	0.879221i
$624$	−2.14109	+	0.952481i	−0.0857122	+	0.0381298i
$625$	15.3314	−	14.2255i	0.613257	−	0.569019i
$626$	21.8042	−	3.28646i	0.871472	−	0.131353i
$627$	8.89707	−	3.18501i	0.355315	−	0.127197i
$628$	1.44958	−	9.61736i	0.0578447	−	0.383775i
$629$	−30.8339	+	14.8488i	−1.22943	+	0.592061i
$630$	−12.9566	−	10.1039i	−0.516203	−	0.402549i
$631$	27.1406	+	13.0702i	1.08045	+	0.520318i	0.887461	−	0.460883i	$-0.152467\pi$
$631$	27.1406	+	13.0702i	1.08045	+	0.520318i	0.192990	+	0.981201i	$0.438181\pi$
$632$	−4.44744	+	6.52320i	−0.176910	+	0.259479i
$633$	12.1460	+	19.0261i	0.482761	+	0.756219i
$634$	0.129973	−	1.73436i	0.00516187	−	0.0688804i
$635$	−6.50916	+	16.5851i	−0.258308	+	0.658159i
$636$	−4.08411	+	15.6913i	−0.161946	+	0.622202i
$637$	−8.16890	−	4.79202i	−0.323663	−	0.189867i
$638$			4.37783i			0.173320i
$639$	6.75663	+	8.22767i	0.267288	+	0.325482i
$640$	−2.06426	−	0.154695i	−0.0815972	−	0.00611486i
$641$	13.0434	−	14.0575i	0.515184	−	0.555236i	−0.420857	−	0.907127i	$-0.638271\pi$
$641$	13.0434	−	14.0575i	0.515184	−	0.555236i	0.936041	+	0.351891i	$0.114461\pi$
$642$	4.94687	+	5.66568i	0.195237	+	0.223607i
$643$	−7.35728	+	15.2775i	−0.290143	+	0.602488i	−0.994187	−	0.107669i	$-0.965661\pi$
$643$	−7.35728	+	15.2775i	−0.290143	+	0.602488i	0.704044	+	0.710156i	$0.251376\pi$
$644$	−6.34414	−	11.0767i	−0.249994	−	0.436485i
$645$	−35.7222	+	7.02469i	−1.40656	+	0.276597i
$646$	−24.6380	−	3.71359i	−0.969371	−	0.146109i
$647$	0.665151	−	0.453492i	0.0261498	−	0.0178286i	−0.550175	−	0.835050i	$-0.685439\pi$
$647$	0.665151	−	0.453492i	0.0261498	−	0.0178286i	0.576324	+	0.817221i	$0.304486\pi$
$648$	6.87266	−	5.81090i	0.269984	−	0.228274i
$649$	3.43670	+	3.70388i	0.134902	+	0.145390i
$650$	0.603045	+	0.756195i	0.0236534	+	0.0296604i
$651$	0.808542	+	6.94439i	0.0316893	+	0.272172i
$652$	−6.12231	+	7.67714i	−0.239768	+	0.300660i
$653$	11.9682	−	0.896890i	0.468351	−	0.0350980i	0.161535	−	0.986867i	$-0.448356\pi$
$653$	11.9682	−	0.896890i	0.468351	−	0.0350980i	0.306816	+	0.951769i	$0.400736\pi$
$654$	12.0362	−	19.4640i	0.470654	−	0.761102i
$655$	−6.55387	+	11.3516i	−0.256081	+	0.443545i
$656$	−0.144193	−	0.249750i	−0.00562981	−	0.00975111i
$657$	24.7789	+	7.25581i	0.966719	+	0.283076i
$658$	5.36321	+	23.8784i	0.209080	+	0.930877i
$659$	−8.26682	−	1.88685i	−0.322029	−	0.0735011i	0.0584505	−	0.998290i	$-0.481384\pi$
$659$	−8.26682	−	1.88685i	−0.322029	−	0.0735011i	−0.380480	+	0.924789i	$0.624241\pi$
$660$	−0.163817	−	3.67303i	−0.00637658	−	0.142972i
$661$	−18.5209	+	7.26893i	−0.720380	+	0.282728i	−0.697073	−	0.717000i	$-0.745515\pi$
$661$	−18.5209	+	7.26893i	−0.720380	+	0.282728i	−0.0233071	+	0.999728i	$0.507420\pi$
$662$	1.90190	−	0.746442i	0.0739196	−	0.0290113i
$663$	0.488964	+	10.9633i	0.0189898	+	0.425779i
$664$	11.8464	+	2.70387i	0.459731	+	0.104931i
$665$	−18.2471	+	22.7194i	−0.707593	+	0.881020i
$666$	−21.0401	−	6.16099i	−0.815288	−	0.238734i
$667$	−10.2987	−	17.8379i	−0.398767	−	0.690685i
$668$	−6.14423	+	10.6421i	−0.237728	+	0.411756i
$669$	−4.89102	+	7.90934i	−0.189098	+	0.305793i
$670$	−17.4187	+	1.30535i	−0.672944	+	0.0504302i
$671$	7.93436	−	9.94938i	0.306303	−	0.384092i
$672$	4.31977	−	1.52956i	0.166639	−	0.0590042i
$673$	−16.7294	−	20.9781i	−0.644873	−	0.808645i	0.346730	−	0.937965i	$-0.387292\pi$
$673$	−16.7294	−	20.9781i	−0.644873	−	0.808645i	−0.991603	+	0.129320i	$0.958721\pi$
$674$	−19.2402	−	20.7360i	−0.741103	−	0.798719i
$675$	−3.03556	−	2.14103i	−0.116839	−	0.0824085i
$676$	−9.22868	+	6.29201i	−0.354949	+	0.242000i
$677$	−18.4204	−	2.77643i	−0.707953	−	0.106707i	−0.214811	−	0.976656i	$-0.568914\pi$
$677$	−18.4204	−	2.77643i	−0.707953	−	0.106707i	−0.493142	+	0.869949i	$0.664152\pi$
$678$	−20.2855	+	3.98910i	−0.779060	+	0.153200i
$679$	1.84962	+	1.27045i	0.0709819	+	0.0487554i
$680$	−4.20613	+	8.73412i	−0.161298	+	0.334938i
$681$	9.08116	+	10.4007i	0.347991	+	0.398556i
$682$	−1.06410	+	1.14682i	−0.0407464	+	0.0439142i
$683$	16.1765	+	1.21226i	0.618977	+	0.0463859i	0.380529	−	0.924769i	$-0.375742\pi$
$683$	16.1765	+	1.21226i	0.618977	+	0.0463859i	0.238449	+	0.971155i	$0.423361\pi$
$684$	−10.1299	−	12.3353i	−0.387325	−	0.471652i
$685$			30.1026i			1.15016i
$686$	15.1930	+	10.5912i	0.580071	+	0.404372i
$687$	8.38915	−	32.2314i	0.320066	−	1.22971i
$688$	3.70966	−	9.45205i	0.141429	−	0.360356i
$689$	0.946483	−	12.6299i	0.0360581	−	0.481162i
$690$	9.30818	+	14.5807i	0.354356	+	0.555079i
$691$	6.50318	−	9.53842i	0.247393	−	0.362858i	−0.682377	−	0.731001i	$-0.739054\pi$
$691$	6.50318	−	9.53842i	0.247393	−	0.362858i	0.929770	+	0.368142i	$0.120006\pi$
$692$	11.8549	+	5.70901i	0.450655	+	0.217024i
$693$	3.61106	+	7.29435i	0.137173	+	0.277090i
$694$	−19.2864	+	9.28786i	−0.732103	+	0.352562i
$695$	−2.05632	+	13.6428i	−0.0780005	+	0.517500i
$696$	6.96180	−	2.49221i	0.263886	−	0.0944671i
$697$	−1.33544	+	0.201286i	−0.0505835	+	0.00762424i
$698$	21.4353	−	19.8891i	0.811338	−	0.752812i
$699$	−29.3194	+	13.0430i	−1.10896	+	0.493330i
$700$	−1.06005	−	1.56643i	−0.0400662	−	0.0592056i
$701$	−16.2167	−	12.9324i	−0.612496	−	0.488449i	0.267419	−	0.963580i	$-0.413829\pi$
$701$	−16.2167	−	12.9324i	−0.612496	−	0.488449i	−0.879915	+	0.475131i	$0.842401\pi$
$702$	−4.47001	+	5.42608i	−0.168710	+	0.204794i
$703$	−11.4606	+	37.1544i	−0.432246	+	1.40131i
$704$	0.888065	+	0.512724i	0.0334702	+	0.0193240i
$705$	−8.81333	−	31.9730i	−0.331929	−	1.20417i
$706$	13.2903	−	3.03342i	0.500187	−	0.114164i
$707$	30.9432	+	24.8521i	1.16374	+	0.934658i
$708$	3.93362	−	7.57373i	0.147834	−	0.284638i
$709$	−11.5862	+	3.57386i	−0.435128	+	0.134219i	−0.504578	−	0.863366i	$-0.668352\pi$
$709$	−11.5862	+	3.57386i	−0.435128	+	0.134219i	0.0694498	+	0.997585i	$0.477876\pi$
$710$	−2.68388	−	6.83841i	−0.100724	−	0.256641i
$711$	−3.19386	+	23.4688i	−0.119779	+	0.880150i
$712$	−3.34595	−	10.8473i	−0.125395	−	0.406520i
$713$	1.63790	−	7.17610i	0.0613398	−	0.268747i
$714$	0.722876	−	21.4482i	0.0270529	−	0.802679i
$715$	0.639073	+	2.79996i	0.0239000	+	0.104713i
$716$	−20.4700	+	11.8184i	−0.765000	+	0.441673i
$717$	12.6193	+	12.4396i	0.471276	+	0.464565i
$718$	0.0504934	+	0.0155752i	0.00188440	+	0.000581260i
$719$	2.41929	+	32.2832i	0.0902243	+	1.20396i	0.840119	+	0.542402i	$0.182485\pi$
$719$	2.41929	+	32.2832i	0.0902243	+	1.20396i	−0.749895	+	0.661557i	$0.769896\pi$
$720$	−5.74774	+	2.35149i	−0.214206	+	0.0876350i
$721$	−13.5286	−	34.8241i	−0.503830	−	1.29692i
$722$	−7.27745	+	5.80358i	−0.270839	+	0.215987i
$723$	2.91927	+	5.42893i	0.108569	+	0.201904i
$724$	1.19938	+	7.95740i	0.0445748	+	0.295734i
$725$	−1.71924	−	2.52166i	−0.0638509	−	0.0936521i
$726$	6.77721	−	15.8425i	0.251526	−	0.587970i
$727$	−2.26688	−	4.70722i	−0.0840739	−	0.174581i	0.854693	−	0.519133i	$-0.173745\pi$
$727$	−2.26688	−	4.70722i	−0.0840739	−	0.174581i	−0.938767	+	0.344552i	$0.888031\pi$
$728$	−3.10619	+	1.77905i	−0.115123	+	0.0659362i
$729$	10.6577	−	24.8075i	0.394731	−	0.918797i
$730$	−14.7201	−	10.0360i	−0.544817	−	0.371450i
$731$	−34.8576	−	32.3431i	−1.28926	−	1.19625i
$732$	−20.3388	−	6.95356i	−0.751743	−	0.257011i
$733$	48.1119	+	18.8825i	1.77705	+	0.697443i	0.997466	+	0.0711517i	$0.0226674\pi$
$733$	48.1119	+	18.8825i	1.77705	+	0.697443i	0.779589	+	0.626291i	$0.215428\pi$
$734$	−24.1092			−0.889887
$735$	−21.2544	−	13.3477i	−0.783982	−	0.492337i
$736$	−4.82467			−0.177840
$737$	8.05482	+	3.16128i	0.296703	+	0.116447i
$738$	−0.721745	−	0.477061i	−0.0265678	−	0.0175609i
$739$	17.7780	+	16.4956i	0.653975	+	0.606800i	0.935743	−	0.352682i	$-0.114730\pi$
$739$	17.7780	+	16.4956i	0.653975	+	0.606800i	−0.281768	+	0.959483i	$0.590921\pi$
$740$	12.4991	+	8.52171i	0.459475	+	0.313264i
$741$	9.50856	+	8.06483i	0.349306	+	0.296269i
$742$	−3.77615	+	24.4779i	−0.138627	+	0.898613i
$743$	0.673937	+	1.39945i	0.0247244	+	0.0513407i	0.912965	−	0.408037i	$-0.133787\pi$
$743$	0.673937	+	1.39945i	0.0247244	+	0.0513407i	−0.888241	+	0.459378i	$0.848072\pi$
$744$	2.42950	+	1.03931i	0.0890697	+	0.0381028i
$745$	−11.6140	−	17.0346i	−0.425503	−	0.624098i
$746$	3.09936	+	20.5629i	0.113475	+	0.752861i
$747$	35.4193	−	8.62044i	1.29592	−	0.315405i
$748$	3.75453	−	2.99413i	0.137279	−	0.109476i
$749$	8.39503	+	7.84370i	0.306748	+	0.286602i
$750$	12.2855	+	16.3988i	0.448603	+	0.598800i
$751$	−0.846145	−	11.2910i	−0.0308763	−	0.412015i	−0.991131	−	0.132889i	$-0.957574\pi$
$751$	−0.846145	−	11.2910i	−0.0308763	−	0.412015i	0.960255	−	0.279126i	$-0.0900446\pi$
$752$	8.83909	+	2.72650i	0.322328	+	0.0994251i
$753$	−16.0736	+	16.3058i	−0.585755	+	0.594216i
$754$	−5.00218	+	2.88801i	−0.182169	+	0.105175i
$755$	−5.67674	−	24.8714i	−0.206598	−	0.905164i
$756$	9.54406	−	9.89499i	0.347114	−	0.359877i
$757$	4.68814	−	20.5401i	0.170393	−	0.746542i	−0.815444	−	0.578836i	$-0.803507\pi$
$757$	4.68814	−	20.5401i	0.170393	−	0.746542i	0.985837	−	0.167706i	$-0.0536359\pi$
$758$	10.0614	+	32.6182i	0.365446	+	1.18475i
$759$	−1.02049	−	8.50826i	−0.0370413	−	0.308830i
$760$	4.02380	+	10.2525i	0.145958	+	0.371896i
$761$	−6.37849	+	1.96750i	−0.231220	+	0.0713219i	−0.408200	−	0.912893i	$-0.633843\pi$
$761$	−6.37849	+	1.96750i	−0.231220	+	0.0713219i	0.176980	+	0.984214i	$0.443367\pi$
$762$	−13.2296	−	6.87114i	−0.479258	−	0.248915i
$763$	15.2763	−	31.4427i	0.553039	−	1.13830i
$764$	6.57417	−	1.50051i	0.237845	−	0.0542866i
$765$	0.417064	+	29.0794i	0.0150790	+	1.05137i
$766$	−9.80184	−	5.65910i	−0.354155	−	0.204471i
$767$	−1.96496	+	6.37025i	−0.0709507	+	0.230017i
$768$	0.309797	−	1.70412i	0.0111788	−	0.0614921i
$769$	−20.4327	−	16.2945i	−0.736821	−	0.587595i	0.181519	−	0.983387i	$-0.441899\pi$
$769$	−20.4327	−	16.2945i	−0.736821	−	0.587595i	−0.918340	+	0.395792i	$0.870470\pi$
$770$	−0.817827	−	5.55636i	−0.0294725	−	0.200237i
$771$	0.0790253	+	0.177642i	0.00284603	+	0.00639761i
$772$	−14.4914	+	13.4460i	−0.521556	+	0.483933i
$773$	31.7116	−	4.77976i	1.14059	−	0.171916i	0.448537	−	0.893764i	$-0.351945\pi$
$773$	31.7116	−	4.77976i	1.14059	−	0.171916i	0.692051	+	0.721849i	$0.256707\pi$
$774$	−2.71181	−	30.3409i	−0.0974739	−	1.09058i
$775$	0.162553	−	1.07847i	0.00583906	−	0.0387396i
$776$	0.764129	−	0.367985i	0.0274306	−	0.0132099i
$777$	−32.9279	−	6.10387i	−1.18128	−	0.218975i
$778$	16.0530	+	7.73074i	0.575529	+	0.277160i
$779$	−0.864345	+	1.26776i	−0.0309684	+	0.0454222i
$780$	4.08880	−	2.61024i	0.146403	−	0.0934617i
$781$	−0.271952	+	3.62895i	−0.00973121	+	0.129854i
$782$	−8.25457	+	21.0323i	−0.295183	+	0.752113i
$783$	15.3449	−	16.0198i	0.548383	−	0.572499i
$784$	6.32766	−	2.99345i	0.225988	−	0.106909i
$785$			20.1333i			0.718589i
$786$	−8.87089	−	6.44927i	−0.316414	−	0.230038i
$787$	17.5307	+	1.31375i	0.624904	+	0.0468301i	0.383419	−	0.923575i	$-0.374747\pi$
$787$	17.5307	+	1.31375i	0.624904	+	0.0468301i	0.241485	+	0.970405i	$0.422366\pi$
$788$	−16.4432	+	17.7215i	−0.585764	+	0.631303i
$789$	32.3478	−	28.2438i	1.15161	−	1.00550i
$790$	7.09104	−	14.7247i	0.252288	−	0.523881i
$791$	−30.2091	+	9.20388i	−1.07411	+	0.327252i
$792$	3.07073	+	0.185878i	0.109113	+	0.00660489i
$793$	16.6026	+	2.50243i	0.589574	+	0.0888640i
$794$	−11.1725	+	7.61725i	−0.396496	+	0.270326i
$795$	3.51873	−	33.3791i	0.124796	−	1.18384i
$796$	16.0270	+	17.2730i	0.568061	+	0.612225i
$797$	16.0761	+	20.1588i	0.569445	+	0.714062i	0.980272	−	0.197651i	$-0.0633314\pi$
$797$	16.0761	+	20.1588i	0.569445	+	0.714062i	−0.410827	+	0.911713i	$0.634760\pi$
$798$	−17.3044	−	17.1765i	−0.612568	−	0.608040i
$799$	27.0085	−	33.8676i	0.955493	−	1.19815i
$800$	−0.712886	+	0.0534234i	−0.0252043	+	0.00188880i
$801$	−23.5188	−	24.6292i	−0.830996	−	0.870231i
$802$	−5.51148	+	9.54616i	−0.194617	+	0.337086i
$803$	4.41275	+	7.64311i	0.155723	+	0.269719i
$804$	0.441747	−	14.6088i	0.0155792	−	0.515211i
$805$	16.4035	+	20.7160i	0.578147	+	0.730143i
$806$	−2.01236	−	0.459307i	−0.0708823	−	0.0161784i
$807$	−36.5311	+	1.62929i	−1.28596	+	0.0573537i
$808$	13.9636	−	5.48030i	0.491237	−	0.192796i
$809$	11.4747	−	4.50348i	0.403428	−	0.158334i	−0.154946	−	0.987923i	$-0.549520\pi$
$809$	11.4747	−	4.50348i	0.403428	−	0.158334i	0.558374	+	0.829589i	$0.311425\pi$
$810$	−12.2751	+	14.0149i	−0.431302	+	0.492433i
$811$	13.5939	+	3.10271i	0.477346	+	0.108951i	0.454423	−	0.890786i	$-0.349846\pi$
$811$	13.5939	+	3.10271i	0.477346	+	0.108951i	0.0229231	+	0.999737i	$0.492703\pi$
$812$	10.1935	−	4.86555i	0.357722	−	0.170747i
$813$	−28.1191	−	0.850278i	−0.986179	−	0.0298206i
$814$	−3.74692	−	6.48986i	−0.131330	−	0.227469i
$815$	10.1634	−	17.6035i	0.356007	−	0.616622i
$816$	−6.89877	−	4.26609i	−0.241505	−	0.149343i
$817$	−53.8735	+	4.03726i	−1.88480	+	0.141246i
$818$	−3.13319	+	3.92890i	−0.109550	+	0.137371i
$819$	−5.95247	+	8.93808i	−0.207996	+	0.312322i
$820$	0.372208	+	0.466735i	0.0129981	+	0.0162991i
$821$	33.9121	+	36.5485i	1.18354	+	1.27555i	0.953165	+	0.302451i	$0.0978049\pi$
$821$	33.9121	+	36.5485i	1.18354	+	1.27555i	0.230375	+	0.973102i	$0.426005\pi$
$822$	−25.0486	−	2.64055i	−0.873670	−	0.0920997i
$823$	1.21280	−	0.826874i	0.0422756	−	0.0288230i	−0.541998	−	0.840380i	$-0.682332\pi$
$823$	1.21280	−	0.826874i	0.0422756	−	0.0288230i	0.584273	+	0.811557i	$0.301380\pi$
$824$	−13.9629	−	2.10457i	−0.486421	−	0.0733161i
$825$	−0.244997	−	1.24587i	−0.00852970	−	0.0433755i
$826$	4.80471	−	12.1187i	0.167177	−	0.421663i
$827$	−5.55400	+	11.5330i	−0.193132	+	0.401042i	−0.974937	−	0.222480i	$-0.928585\pi$
$827$	−5.55400	+	11.5330i	−0.193132	+	0.401042i	0.781806	+	0.623522i	$0.214299\pi$
$828$	−12.9492	+	6.46641i	−0.450017	+	0.224723i
$829$	18.1529	−	19.5642i	0.630476	−	0.679492i	−0.334329	−	0.942456i	$-0.608510\pi$
$829$	18.1529	−	19.5642i	0.630476	−	0.679492i	0.964805	+	0.262965i	$0.0847003\pi$
$830$	−25.0830	−	1.87971i	−0.870645	−	0.0652458i
$831$	−12.3166	+	16.9414i	−0.427259	+	0.587690i
$832$			1.35296i			0.0469054i
$833$	−2.22340	−	32.7058i	−0.0770361	−	1.13319i
$834$	−11.1719	−	2.90780i	−0.386850	−	0.100689i
$835$	9.29346	−	23.6794i	0.321613	−	0.819458i
$836$	0.407724	−	5.44069i	0.0141014	−	0.188170i
$837$	7.91364	−	0.466747i	0.273535	−	0.0161331i
$838$	22.7524	−	33.3716i	0.785967	−	1.15280i
$839$	24.5404	+	11.8180i	0.847229	+	0.408004i	0.806548	−	0.591168i	$-0.201333\pi$
$839$	24.5404	+	11.8180i	0.847229	+	0.408004i	0.0406810	+	0.999172i	$0.487047\pi$
$840$	−8.37037	+	4.46367i	−0.288805	+	0.154011i
$841$	−9.70712	+	4.67470i	−0.334728	+	0.161197i
$842$	3.61217	−	23.9652i	0.124484	−	0.825894i
$843$	1.04895	+	2.93016i	0.0361278	+	0.100920i
$844$	12.8867	−	1.94235i	0.443578	−	0.0668586i
$845$	16.9492	−	15.7266i	0.583071	−	0.541011i
$846$	27.3780	−	4.52903i	0.941276	−	0.155711i
$847$	7.84530	−	25.1248i	0.269568	−	0.863297i
$848$	7.31890	+	5.83663i	0.251332	+	0.200431i
$849$	50.8050	+	9.23598i	1.74362	+	0.316978i
$850$	−0.986792	+	3.19910i	−0.0338467	+	0.109728i
$851$	30.5344	+	17.6290i	1.04670	+	0.604315i
$852$	5.92572	−	1.63342i	0.203012	−	0.0559601i
$853$	20.2000	−	4.61051i	0.691633	−	0.157861i	0.137765	−	0.990465i	$-0.456008\pi$
$853$	20.2000	−	4.61051i	0.691633	−	0.157861i	0.553868	+	0.832604i	$0.313151\pi$
$854$	−31.9849	−	7.41690i	−1.09450	−	0.253801i
$855$	24.5409	+	22.1242i	0.839280	+	0.756632i
$856$	4.14956	−	1.27997i	0.141829	−	0.0437485i
$857$	6.11070	+	15.5698i	0.208737	+	0.531854i	0.996450	−	0.0841889i	$-0.0268299\pi$
$857$	6.11070	+	15.5698i	0.208737	+	0.531854i	−0.787712	+	0.616043i	$0.788735\pi$
$858$	−2.38593	+	0.286170i	−0.0814543	+	0.00976967i
$859$	11.3003	+	36.6348i	0.385562	+	1.24996i	0.915635	+	0.402010i	$0.131688\pi$
$859$	11.3003	+	36.6348i	0.385562	+	1.24996i	−0.530073	+	0.847952i	$0.677836\pi$
$860$	−4.67721	+	20.4922i	−0.159492	+	0.698779i
$861$	−1.17069	−	0.613183i	−0.0398970	−	0.0208972i
$862$	−2.35328	−	10.3104i	−0.0801531	−	0.351174i
$863$	22.6630	−	13.0845i	0.771457	−	0.445401i	−0.0619372	−	0.998080i	$-0.519728\pi$
$863$	22.6630	−	13.0845i	0.771457	−	0.445401i	0.833394	+	0.552679i	$0.186395\pi$
$864$	−1.45251	−	4.98901i	−0.0494155	−	0.169730i
$865$	−26.0275	−	8.02842i	−0.884961	−	0.272974i
$866$	−0.956481	−	12.7633i	−0.0325025	−	0.433716i
$867$	−6.83514	+	5.12067i	−0.232133	+	0.173907i
$868$	3.85296	+	1.20310i	0.130778	+	0.0408359i
$869$	−6.32969	+	5.04776i	−0.214720	+	0.171233i
$870$	−13.4814	+	7.24928i	−0.457063	+	0.245774i
$871$	1.70155	+	11.2890i	0.0576548	+	0.382515i
$872$	−7.44292	−	10.9168i	−0.252049	−	0.369688i
$873$	1.55769	−	2.01180i	0.0527198	−	0.0680892i
$874$	11.1378	+	23.1278i	0.376740	+	0.782309i
$875$	21.2095	+	23.0177i	0.717013	+	0.778141i
$876$	9.64228	−	11.3684i	0.325783	−	0.384103i
$877$	18.4854	+	12.6031i	0.624206	+	0.425576i	0.833688	−	0.552236i	$-0.186225\pi$
$877$	18.4854	+	12.6031i	0.624206	+	0.425576i	−0.209482	+	0.977813i	$0.567178\pi$
$878$	8.34816	+	7.74596i	0.281737	+	0.261413i
$879$	5.77928	−	16.9041i	0.194930	−	0.570161i
$880$	−1.97600	−	0.775521i	−0.0666108	−	0.0261428i
$881$	6.11252			0.205936			0.102968	−	0.994685i	$-0.467166\pi$
$881$	6.11252			0.205936			0.102968	+	0.994685i	$0.467166\pi$
$882$	12.9711	−	16.5151i	0.436760	−	0.556094i
$883$	−34.0999			−1.14755			−0.573776	−	0.819012i	$-0.694522\pi$
$883$	−34.0999			−1.14755			−0.573776	+	0.819012i	$0.694522\pi$
$884$	5.89798	+	2.31479i	0.198370	+	0.0778547i
$885$	−5.71515	+	16.7165i	−0.192113	+	0.561920i
$886$	15.6807	+	14.5496i	0.526804	+	0.488803i
$887$	23.4437	+	15.9837i	0.787163	+	0.536679i	0.888883	−	0.458134i	$-0.151482\pi$
$887$	23.4437	+	15.9837i	0.787163	+	0.536679i	−0.101720	+	0.994813i	$0.532435\pi$
$888$	−8.18738	+	9.65305i	−0.274751	+	0.323935i
$889$	−21.1686	−	8.39274i	−0.709972	−	0.281483i
$890$	10.1956	+	21.1714i	0.341757	+	0.709666i
$891$	8.49084	−	3.61674i	0.284454	−	0.121165i
$892$	3.02449	+	4.43611i	0.101267	+	0.148532i
$893$	−7.33515	−	48.6656i	−0.245462	−	1.62853i
$894$	15.1934	−	8.16983i	0.508142	−	0.273240i
$895$	38.2544	−	30.5069i	1.27870	−	1.01973i
$896$	0.206848	−	2.63765i	0.00691031	−	0.0881178i
$897$	9.04849	−	6.77885i	0.302120	−	0.226339i
$898$	1.22994	+	16.4124i	0.0410436	+	0.547689i
$899$	6.22382	+	1.91979i	0.207576	+	0.0640287i
$900$	−1.84176	+	1.09885i	−0.0613919	+	0.0366284i
$901$	37.9657	−	21.9195i	1.26482	−	0.730245i
$902$	−0.0658052	−	0.288312i	−0.00219107	−	0.00959972i
$903$	−8.82023	−	45.6876i	−0.293519	−	1.52039i
$904$	−2.65604	+	11.6369i	−0.0883386	+	0.387037i
$905$	−4.91012	−	15.9182i	−0.163218	−	0.529139i
$906$	21.1937	−	2.54198i	0.704112	−	0.0844517i
$907$	2.61628	+	6.66617i	0.0868721	+	0.221346i	0.967707	−	0.252077i	$-0.0811135\pi$
$907$	2.61628	+	6.66617i	0.0868721	+	0.221346i	−0.880835	+	0.473423i	$0.843018\pi$
$908$	7.61751	−	2.34969i	0.252796	−	0.0779772i
$909$	30.1326	−	33.4240i	0.999434	−	1.10860i
$910$	5.80928	−	4.59994i	0.192576	−	0.152487i
$911$	36.8001	−	8.39938i	1.21924	−	0.278284i	0.435968	−	0.899962i	$-0.356406\pi$
$911$	36.8001	−	8.39938i	1.21924	−	0.278284i	0.783273	+	0.621678i	$0.213549\pi$
$912$	−8.88412	+	2.44890i	−0.294182	+	0.0810913i
$913$	10.7910	+	6.23016i	0.357128	+	0.206188i
$914$	8.55360	−	27.7301i	0.282928	−	0.917230i
$915$	43.7774	+	7.95842i	1.44724	+	0.263097i
$916$	−15.0337	−	11.9890i	−0.496728	−	0.396127i
$917$	−14.4795	−	8.42672i	−0.478157	−	0.278275i
$918$	−24.2338	−	2.20376i	−0.799834	−	0.0727348i
$919$	−23.3119	+	21.6303i	−0.768989	+	0.713517i	−0.963596	−	0.267364i	$-0.913847\pi$
$919$	−23.3119	+	21.6303i	−0.768989	+	0.713517i	0.194607	+	0.980881i	$0.437657\pi$
$920$	9.87577	−	1.48853i	0.325595	−	0.0490755i
$921$	0.583278	+	1.62934i	0.0192197	+	0.0536886i
$922$	−3.45280	+	22.9078i	−0.113712	+	0.754429i
$923$	−4.32591	+	2.08325i	−0.142389	+	0.0685709i
$924$	4.69523	−	0.193126i	0.154462	−	0.00635338i
$925$	4.70692	+	2.26673i	0.154762	+	0.0745297i
$926$	16.5816	−	24.3208i	0.544906	−	0.799230i
$927$	−40.2966	+	13.0656i	−1.32351	+	0.429131i
$928$	0.319036	−	4.25724i	0.0104729	−	0.139751i
$929$	−11.2309	+	28.6159i	−0.368474	+	0.938856i	0.619606	+	0.784913i	$0.287292\pi$
$929$	−11.2309	+	28.6159i	−0.368474	+	0.938856i	−0.988080	+	0.153943i	$0.950803\pi$
$930$	−5.29366	−	1.37783i	−0.173586	−	0.0451807i
$931$	−28.9569	−	23.4222i	−0.949026	−	0.767630i
$932$			18.5269i			0.606870i
$933$	20.1919	−	27.7737i	0.661052	−	0.909269i
$934$	−7.73467	−	0.579633i	−0.253086	−	0.0189662i
$935$	−6.76149	+	7.28715i	−0.221124	+	0.238315i
$936$	1.81334	+	3.63129i	0.0592709	+	0.118692i
$937$	16.1318	−	33.4980i	0.527003	−	1.09433i	−0.452287	−	0.891872i	$-0.649392\pi$
$937$	16.1318	−	33.4980i	0.527003	−	1.09433i	0.979290	−	0.202461i	$-0.0648939\pi$
$938$	−1.59131	−	22.2687i	−0.0519582	−	0.727097i
$939$	−7.36935	−	37.4749i	−0.240490	−	1.22295i
$940$	−18.9342	−	2.85387i	−0.617565	−	0.0930830i
$941$	24.7836	−	16.8972i	0.807923	−	0.550833i	−0.0874399	−	0.996170i	$-0.527869\pi$
$941$	24.7836	−	16.8972i	0.807923	−	0.550833i	0.895363	+	0.445337i	$0.146916\pi$
$942$	−16.7531	−	1.76606i	−0.545845	−	0.0575414i
$943$	0.946374	+	1.01995i	0.0308182	+	0.0332141i
$944$	−3.07212	−	3.85231i	−0.0999889	−	0.125382i
$945$	−16.4832	+	23.1989i	−0.536198	+	0.754662i
$946$	6.49200	−	8.14071i	0.211073	−	0.264677i
$947$	−49.4043	+	3.70234i	−1.60542	+	0.120310i	−0.847051	−	0.531512i	$-0.821624\pi$
$947$	−49.4043	+	3.70234i	−1.60542	+	0.120310i	−0.758372	+	0.651822i	$0.774005\pi$
$948$	11.6305	+	7.19213i	0.377742	+	0.233590i
$949$	−5.82210	+	10.0842i	−0.188993	+	0.327346i
$950$	1.90179	+	3.29400i	0.0617022	+	0.106871i
$951$	−3.01105	−	0.0910497i	−0.0976401	−	0.00295249i
$952$	−11.1445	−	5.41450i	−0.361195	−	0.175485i
$953$	5.72640	+	1.30701i	0.185496	+	0.0423383i	0.314260	−	0.949337i	$-0.398244\pi$
$953$	5.72640	+	1.30701i	0.185496	+	0.0423383i	−0.128764	+	0.991675i	$0.541101\pi$
$954$	27.4664	+	5.85592i	0.889257	+	0.189592i
$955$	−12.9939	+	5.09974i	−0.420474	+	0.165024i
$956$	9.52331	−	3.73762i	0.308006	−	0.120883i
$957$	7.57509	−	0.337850i	0.244868	−	0.0109211i
$958$	19.7374	+	4.50494i	0.637687	+	0.145548i
$959$	−38.4741	−	0.133170i	−1.24239	−	0.00430028i
$960$	−0.108369	+	3.58380i	−0.00349758	+	0.115667i
$961$	−14.3362	−	24.8311i	−0.462459	−	0.801003i
$962$	4.94362	−	8.56260i	0.159389	−	0.276069i
$963$	9.42174	−	8.99696i	0.303611	−	0.289923i
$964$	3.54886	−	0.265950i	0.114301	−	0.00856568i
$965$	25.5144	−	31.9941i	0.821338	−	1.02993i
$966$	−18.6768	+	11.8323i	−0.600917	+	0.380698i
$967$	−25.4584	−	31.9239i	−0.818688	−	1.02660i	−0.999075	−	0.0430062i	$-0.986306\pi$
$967$	−25.4584	−	31.9239i	−0.818688	−	1.02660i	0.180387	−	0.983596i	$-0.442265\pi$
$968$	−6.76667	−	7.29273i	−0.217489	−	0.234397i
$969$	−4.52434	+	42.9185i	−0.145343	+	1.37874i
$970$	−1.45059	+	0.988993i	−0.0465755	+	0.0317546i
$971$	−50.3831	−	7.59402i	−1.61687	−	0.243704i	−0.722611	−	0.691255i	$-0.757058\pi$
$971$	−50.3831	−	7.59402i	−1.61687	−	0.243704i	−0.894258	+	0.447551i	$0.852296\pi$
$972$	−10.5852	−	11.4435i	−0.339519	−	0.367052i
$973$	−17.4277	−	2.68853i	−0.558707	−	0.0861904i
$974$	−14.4031	+	29.9084i	−0.461506	+	0.958328i
$975$	1.26193	−	1.10183i	0.0404140	−	0.0352866i
$976$	−8.44089	+	9.09711i	−0.270186	+	0.291191i
$977$	57.9765	+	4.34474i	1.85483	+	0.139000i	0.954881	−	0.296989i	$-0.0959824\pi$
$977$	57.9765	+	4.34474i	1.85483	+	0.139000i	0.899952	+	0.435989i	$0.143601\pi$
$978$	13.7565	+	10.0012i	0.439883	+	0.319802i
$979$		−	11.6405i		−	0.372032i
$980$	−12.0287	+	8.07964i	−0.384243	+	0.258095i
$981$	−34.6080	−	19.3246i	−1.10495	−	0.616986i
$982$	−14.0720	+	35.8549i	−0.449056	+	1.14418i
$983$	0.922479	−	12.3096i	0.0294225	−	0.392616i	−0.962979	−	0.269576i	$-0.913117\pi$
$983$	0.922479	−	12.3096i	0.0294225	−	0.392616i	0.992402	−	0.123040i	$-0.0392644\pi$
$984$	−0.421023	+	0.268776i	−0.0134217	+	0.00856828i
$985$	28.1905	−	41.3479i	0.898224	−	1.31745i
$986$	−18.0128	−	8.67453i	−0.573646	−	0.276253i
$987$	40.9037	−	11.1229i	1.30198	−	0.354045i
$988$	6.48560	−	3.12330i	0.206335	−	0.0993655i
$989$	−7.30151	+	48.4423i	−0.232174	+	1.54038i
$990$	−6.34291	+	0.566917i	−0.201591	+	0.0180178i
$991$	−14.5550	+	2.19381i	−0.462353	+	0.0696885i	−0.376089	−	0.926584i	$-0.622731\pi$
$991$	−14.5550	+	2.19381i	−0.462353	+	0.0696885i	−0.0862647	+	0.996272i	$0.527493\pi$
$992$	1.11836	−	1.03769i	0.0355081	−	0.0329467i
$993$	−1.43837	−	3.23332i	−0.0456452	−	0.102606i
$994$	8.75205	−	3.40001i	0.277598	−	0.107842i
$995$	−38.1353	−	30.4119i	−1.20897	−	0.964121i
$996$	3.76437	−	20.7069i	0.119279	−	0.656124i
$997$	−0.743690	+	2.41099i	−0.0235529	+	0.0763567i	−0.966586	−	0.256341i	$-0.917483\pi$
$997$	−0.743690	+	2.41099i	−0.0235529	+	0.0763567i	0.943033	+	0.332698i	$0.107959\pi$
$998$	−9.30158	−	5.37027i	−0.294436	−	0.169993i
$999$	−9.03683	+	36.8818i	−0.285913	+	1.16689i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	294.2.p.a.101.4	✓	216
3.2	odd	2	inner	294.2.p.a.101.14	yes	216
49.33	odd	42	inner	294.2.p.a.131.14	yes	216
147.131	even	42	inner	294.2.p.a.131.4	yes	216

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
294.2.p.a.101.4	✓	216	1.1	even	1	trivial
294.2.p.a.101.14	yes	216	3.2	odd	2	inner
294.2.p.a.131.4	yes	216	147.131	even	42	inner
294.2.p.a.131.14	yes	216	49.33	odd	42	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:	\( N \)	\(=\)	\( 294 = 2 \cdot 3 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	294.p (of order \(42\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.930874 - 0.365341i) q^{2} +(-0.560323 + 1.63891i) q^{3} +(0.733052 + 0.680173i) q^{4} +(-1.71036 - 1.16610i) q^{5} +(1.12035 - 1.32091i) q^{6} +(1.49796 - 2.18085i) q^{7} +(-0.433884 - 0.900969i) q^{8} +(-2.37208 - 1.83664i) q^{9} +O(q^{10})\)	\(q+(-0.930874 - 0.365341i) q^{2} +(-0.560323 + 1.63891i) q^{3} +(0.733052 + 0.680173i) q^{4} +(-1.71036 - 1.16610i) q^{5} +(1.12035 - 1.32091i) q^{6} +(1.49796 - 2.18085i) q^{7} +(-0.433884 - 0.900969i) q^{8} +(-2.37208 - 1.83664i) q^{9} +(1.16610 + 1.71036i) q^{10} +(-0.152835 - 1.01400i) q^{11} +(-1.52549 + 0.820293i) q^{12} +(1.05779 - 0.843556i) q^{13} +(-2.19117 + 1.48283i) q^{14} +(2.86949 - 2.14973i) q^{15} +(0.0747301 + 0.997204i) q^{16} +(4.47499 + 1.38035i) q^{17} +(1.53710 + 2.57630i) q^{18} +(4.60773 - 2.66027i) q^{19} +(-0.460630 - 2.01815i) q^{20} +(2.73488 + 3.67701i) q^{21} +(-0.228184 + 0.999739i) q^{22} +(-1.42210 - 4.61033i) q^{23} +(1.71973 - 0.206265i) q^{24} +(-0.261177 - 0.665468i) q^{25} +(-1.29285 + 0.398791i) q^{26} +(4.33922 - 2.85852i) q^{27} +(2.58144 - 0.579803i) q^{28} +(4.16214 - 0.949982i) q^{29} +(-3.45652 + 0.952789i) q^{30} +(1.32123 + 0.762813i) q^{31} +(0.294755 - 0.955573i) q^{32} +(1.74749 + 0.317681i) q^{33} +(-3.66135 - 2.91983i) q^{34} +(-5.10514 + 1.98326i) q^{35} +(-0.489623 - 2.95978i) q^{36} +(-5.35704 + 4.97061i) q^{37} +(-5.26112 + 0.792986i) q^{38} +(0.789814 + 2.20628i) q^{39} +(-0.308525 + 2.04693i) q^{40} +(-0.259828 + 0.125126i) q^{41} +(-1.20247 - 4.42200i) q^{42} +(-9.14839 - 4.40563i) q^{43} +(0.577656 - 0.847266i) q^{44} +(1.91539 + 5.90740i) q^{45} +(-0.360548 + 4.81118i) q^{46} +(3.37942 - 8.61062i) q^{47} +(-1.67620 - 0.436280i) q^{48} +(-2.51222 - 6.53366i) q^{49} +0.714885i q^{50} +(-4.76971 + 6.56068i) q^{51} +(1.34917 + 0.101107i) q^{52} +(6.36725 - 6.86227i) q^{53} +(-5.08360 + 1.07562i) q^{54} +(-0.921019 + 1.91252i) q^{55} +(-2.61482 - 0.403382i) q^{56} +(1.77814 + 9.04228i) q^{57} +(-4.22150 - 0.636288i) q^{58} +(-4.07112 + 2.77564i) q^{59} +(3.56568 + 0.375883i) q^{60} +(8.44089 + 9.09711i) q^{61} +(-0.951213 - 1.19278i) q^{62} +(-7.55872 + 2.42193i) q^{63} +(-0.623490 + 0.781831i) q^{64} +(-2.79286 + 0.209296i) q^{65} +(-1.51063 - 0.934150i) q^{66} +(-4.21911 + 7.30771i) q^{67} +(2.34152 + 4.05563i) q^{68} +(8.35276 + 0.252575i) q^{69} +(5.47681 + 0.0189568i) q^{70} +(-3.45984 - 0.789685i) q^{71} +(-0.625551 + 2.93406i) q^{72} +(-8.01154 + 3.14430i) q^{73} +(6.80270 - 2.66986i) q^{74} +(1.23699 - 0.0551697i) q^{75} +(5.18715 + 1.18393i) q^{76} +(-2.44031 - 1.18562i) q^{77} +(0.0708283 - 2.34232i) q^{78} +(-3.94753 - 6.83732i) q^{79} +(1.03503 - 1.79272i) q^{80} +(2.25350 + 8.71331i) q^{81} +(0.287581 - 0.0215512i) q^{82} +(-7.57608 + 9.50010i) q^{83} +(-0.496191 + 4.55563i) q^{84} +(-6.04420 - 7.57918i) q^{85} +(6.90644 + 7.44337i) q^{86} +(-0.775204 + 7.35369i) q^{87} +(-0.847266 + 0.577656i) q^{88} +(11.2248 + 1.69187i) q^{89} +(0.375228 - 6.19881i) q^{90} +(-0.255146 - 3.57049i) q^{91} +(2.09335 - 4.34688i) q^{92} +(-1.99050 + 1.73796i) q^{93} +(-6.29162 + 6.78076i) q^{94} +(-10.9830 - 0.823063i) q^{95} +(1.40094 + 1.01851i) q^{96} +0.848119i q^{97} +(-0.0484574 + 6.99983i) q^{98} +(-1.49981 + 2.68598i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 216 q - 18 q^{4} + 14 q^{6} + 10 q^{7} + 16 q^{9}+O(q^{10}) \) 216 * q - 18 * q^4 + 14 * q^6 + 10 * q^7 + 16 * q^9	\( 216 q - 18 q^{4} + 14 q^{6} + 10 q^{7} + 16 q^{9} + 6 q^{10} - 12 q^{15} + 18 q^{16} - 4 q^{18} - 12 q^{19} + 10 q^{22} - 6 q^{24} + 16 q^{25} - 42 q^{27} + 2 q^{28} + 4 q^{30} + 6 q^{31} + 18 q^{33} - 10 q^{36} - 36 q^{37} + 4 q^{39} - 22 q^{40} + 20 q^{42} + 40 q^{43} - 14 q^{45} - 156 q^{46} - 134 q^{49} - 12 q^{51} + 16 q^{52} - 18 q^{54} - 322 q^{55} - 34 q^{57} - 164 q^{58} - 6 q^{60} + 56 q^{61} - 24 q^{63} + 36 q^{64} - 28 q^{69} - 4 q^{70} + 4 q^{72} - 24 q^{73} + 84 q^{75} + 16 q^{78} + 22 q^{79} - 52 q^{81} + 24 q^{82} + 42 q^{84} + 32 q^{85} - 94 q^{87} - 2 q^{88} + 42 q^{90} - 100 q^{91} - 266 q^{93} - 88 q^{94} - 6 q^{96} + 224 q^{99}+O(q^{100}) \) 216 * q - 18 * q^4 + 14 * q^6 + 10 * q^7 + 16 * q^9 + 6 * q^10 - 12 * q^15 + 18 * q^16 - 4 * q^18 - 12 * q^19 + 10 * q^22 - 6 * q^24 + 16 * q^25 - 42 * q^27 + 2 * q^28 + 4 * q^30 + 6 * q^31 + 18 * q^33 - 10 * q^36 - 36 * q^37 + 4 * q^39 - 22 * q^40 + 20 * q^42 + 40 * q^43 - 14 * q^45 - 156 * q^46 - 134 * q^49 - 12 * q^51 + 16 * q^52 - 18 * q^54 - 322 * q^55 - 34 * q^57 - 164 * q^58 - 6 * q^60 + 56 * q^61 - 24 * q^63 + 36 * q^64 - 28 * q^69 - 4 * q^70 + 4 * q^72 - 24 * q^73 + 84 * q^75 + 16 * q^78 + 22 * q^79 - 52 * q^81 + 24 * q^82 + 42 * q^84 + 32 * q^85 - 94 * q^87 - 2 * q^88 + 42 * q^90 - 100 * q^91 - 266 * q^93 - 88 * q^94 - 6 * q^96 + 224 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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