LMFDB - Embedded newform 322.2.k.a.293.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [322,2,Mod(83,322)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(322, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 21]))

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

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

chi := DirichletCharacter("322.83");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 322 = 2 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	322.k (of order $22$, degree $10$, 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:	$2.57118294509$
Analytic rank:	$0$
Dimension:	$80$
Relative dimension:	$8$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			293.1
Character	$\chi$	$=$	322.293
Dual form			322.2.k.a.111.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.415415 - 0.909632i) q^{2} +(-0.760851 + 2.59122i) q^{3} +(-0.654861 - 0.755750i) q^{4} +(2.71881 - 1.74727i) q^{5} +(2.04099 + 1.76853i) q^{6} +(0.0953475 + 2.64403i) q^{7} +(-0.959493 + 0.281733i) q^{8} +(-3.61176 - 2.32114i) q^{9} +O(q^{10})$	\(q+(0.415415 - 0.909632i) q^{2} +(-0.760851 + 2.59122i) q^{3} +(-0.654861 - 0.755750i) q^{4} +(2.71881 - 1.74727i) q^{5} +(2.04099 + 1.76853i) q^{6} +(0.0953475 + 2.64403i) q^{7} +(-0.959493 + 0.281733i) q^{8} +(-3.61176 - 2.32114i) q^{9} +(-0.459941 - 3.19896i) q^{10} +(0.903659 - 0.412687i) q^{11} +(2.45656 - 1.12188i) q^{12} +(5.14397 - 0.739591i) q^{13} +(2.44471 + 1.01164i) q^{14} +(2.45896 + 8.37444i) q^{15} +(-0.142315 + 0.989821i) q^{16} +(-4.81565 + 5.55756i) q^{17} +(-3.61176 + 2.32114i) q^{18} +(1.19669 + 1.38105i) q^{19} +(-3.10094 - 0.910518i) q^{20} +(-6.92381 - 1.76465i) q^{21} -0.993434i q^{22} +(3.70768 + 3.04189i) q^{23} -2.70061i q^{24} +(2.26188 - 4.95284i) q^{25} +(1.46413 - 4.98635i) q^{26} +(2.63963 - 2.28725i) q^{27} +(1.93579 - 1.80353i) q^{28} +(0.920574 - 1.06240i) q^{29} +(8.63915 + 1.24212i) q^{30} +(-1.36388 - 4.64494i) q^{31} +(0.841254 + 0.540641i) q^{32} +(0.381814 + 2.65557i) q^{33} +(3.05484 + 6.68917i) q^{34} +(4.87908 + 7.02202i) q^{35} +(0.611002 + 4.24961i) q^{36} +(3.29838 - 5.13238i) q^{37} +(1.75337 - 0.514837i) q^{38} +(-1.99735 + 13.8919i) q^{39} +(-2.11641 + 2.44247i) q^{40} +(-5.69725 - 8.86510i) q^{41} +(-4.48144 + 5.56506i) q^{42} +(2.81801 - 9.59725i) q^{43} +(-0.903659 - 0.412687i) q^{44} -13.8753 q^{45} +(4.30723 - 2.10898i) q^{46} +7.29727i q^{47} +(-2.45656 - 1.12188i) q^{48} +(-6.98182 + 0.504204i) q^{49} +(-3.56564 - 4.11497i) q^{50} +(-10.7369 - 16.7069i) q^{51} +(-3.92753 - 3.40322i) q^{52} +(-6.00768 - 0.863774i) q^{53} +(-0.984015 - 3.35125i) q^{54} +(1.73580 - 2.70096i) q^{55} +(-0.836395 - 2.51007i) q^{56} +(-4.48911 + 2.05011i) q^{57} +(-0.583972 - 1.27872i) q^{58} +(-5.52767 + 0.794758i) q^{59} +(4.71871 - 7.34245i) q^{60} +(3.21714 - 0.944636i) q^{61} +(-4.79176 - 0.688951i) q^{62} +(5.79279 - 9.77093i) q^{63} +(0.841254 - 0.540641i) q^{64} +(12.6932 - 10.9987i) q^{65} +(2.57421 + 0.755855i) q^{66} +(-5.13674 - 2.34587i) q^{67} +7.35371 q^{68} +(-10.7032 + 7.29300i) q^{69} +(8.41430 - 1.52111i) q^{70} +(0.102190 - 0.223764i) q^{71} +(4.11940 + 1.20956i) q^{72} +(-0.551966 + 0.478281i) q^{73} +(-3.29838 - 5.13238i) q^{74} +(11.1129 + 9.62941i) q^{75} +(0.260065 - 1.80879i) q^{76} +(1.17732 + 2.34996i) q^{77} +(11.8068 + 7.58774i) q^{78} +(-0.298336 + 0.0428943i) q^{79} +(1.34256 + 2.93980i) q^{80} +(-1.43211 - 3.13589i) q^{81} +(-10.4307 + 1.49971i) q^{82} +(-12.8035 - 8.22828i) q^{83} +(3.20050 + 6.38827i) q^{84} +(-3.38227 + 23.5242i) q^{85} +(-7.55932 - 6.55019i) q^{86} +(2.05249 + 3.19374i) q^{87} +(-0.750787 + 0.650561i) q^{88} +(-8.66754 - 2.54502i) q^{89} +(-5.76403 + 12.6215i) q^{90} +(2.44597 + 13.5303i) q^{91} +(-0.129113 - 4.79409i) q^{92} +13.0738 q^{93} +(6.63783 + 3.03139i) q^{94} +(5.66664 + 1.66388i) q^{95} +(-2.04099 + 1.76853i) q^{96} +(9.11261 - 5.85632i) q^{97} +(-2.44171 + 6.56034i) q^{98} +(-4.22171 - 0.606990i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 80 q - 8 q^{2} - 8 q^{4} - 11 q^{7} - 8 q^{8} - 6 q^{9}+O(q^{10}) $ 80 * q - 8 * q^2 - 8 * q^4 - 11 * q^7 - 8 * q^8 - 6 * q^9	$ 80 q - 8 q^{2} - 8 q^{4} - 11 q^{7} - 8 q^{8} - 6 q^{9} + 11 q^{14} - 8 q^{16} - 6 q^{18} - 33 q^{21} + 18 q^{23} - 58 q^{25} - 11 q^{28} + 16 q^{29} + 22 q^{30} - 8 q^{32} + 47 q^{35} + 16 q^{36} - 22 q^{37} - 30 q^{39} - 22 q^{42} + 44 q^{43} - 4 q^{46} + 17 q^{49} + 8 q^{50} - 88 q^{51} + 44 q^{53} + 11 q^{56} - 22 q^{57} - 28 q^{58} + 121 q^{63} - 8 q^{64} - 154 q^{65} + 58 q^{70} + 42 q^{71} - 28 q^{72} + 22 q^{74} + 38 q^{77} + 58 q^{78} - 88 q^{79} - 26 q^{81} - 11 q^{84} + 26 q^{85} - 132 q^{86} + 22 q^{88} - 4 q^{92} + 152 q^{93} - 68 q^{95} - 27 q^{98} - 44 q^{99}+O(q^{100}) $ 80 * q - 8 * q^2 - 8 * q^4 - 11 * q^7 - 8 * q^8 - 6 * q^9 + 11 * q^14 - 8 * q^16 - 6 * q^18 - 33 * q^21 + 18 * q^23 - 58 * q^25 - 11 * q^28 + 16 * q^29 + 22 * q^30 - 8 * q^32 + 47 * q^35 + 16 * q^36 - 22 * q^37 - 30 * q^39 - 22 * q^42 + 44 * q^43 - 4 * q^46 + 17 * q^49 + 8 * q^50 - 88 * q^51 + 44 * q^53 + 11 * q^56 - 22 * q^57 - 28 * q^58 + 121 * q^63 - 8 * q^64 - 154 * q^65 + 58 * q^70 + 42 * q^71 - 28 * q^72 + 22 * q^74 + 38 * q^77 + 58 * q^78 - 88 * q^79 - 26 * q^81 - 11 * q^84 + 26 * q^85 - 132 * q^86 + 22 * q^88 - 4 * q^92 + 152 * q^93 - 68 * q^95 - 27 * q^98 - 44 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/322\mathbb{Z}\right)^\times$.

$n$	$185$	$281$
$\chi(n)$	$-1$	$e\left(\frac{7}{22}\right)$

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 $

$2$	0.415415	−	0.909632i	0.293743	−	0.643207i
$2$	0.415415	−	0.909632i	0.293743	−	0.643207i
$3$	−0.760851	+	2.59122i	−0.439277	+	1.49604i	0.381271	+	0.924463i	$0.375487\pi$
$3$	−0.760851	+	2.59122i	−0.439277	+	1.49604i	−0.820548	+	0.571578i	$0.806332\pi$
$4$	−0.654861	−	0.755750i	−0.327430	−	0.377875i
$5$	2.71881	−	1.74727i	1.21589	−	0.781404i	0.234254	−	0.972176i	$-0.424735\pi$
$5$	2.71881	−	1.74727i	1.21589	−	0.781404i	0.981634	+	0.190772i	$0.0610990\pi$
$6$	2.04099	+	1.76853i	0.833229	+	0.721997i
$7$	0.0953475	+	2.64403i	0.0360379	+	0.999350i
$7$	0.0953475	+	2.64403i	0.0360379	+	0.999350i
$8$	−0.959493	+	0.281733i	−0.339232	+	0.0996075i
$9$	−3.61176	−	2.32114i	−1.20392	−	0.773713i
$10$	−0.459941	−	3.19896i	−0.145446	−	1.01160i
$11$	0.903659	−	0.412687i	0.272464	−	0.124430i	−0.274498	−	0.961588i	$-0.588512\pi$
$11$	0.903659	−	0.412687i	0.272464	−	0.124430i	0.546962	+	0.837158i	$0.315784\pi$
$12$	2.45656	−	1.12188i	0.709149	−	0.323857i
$13$	5.14397	−	0.739591i	1.42668	−	0.205126i	0.614677	−	0.788779i	$-0.289286\pi$
$13$	5.14397	−	0.739591i	1.42668	−	0.205126i	0.812003	+	0.583653i	$0.198377\pi$
$14$	2.44471	+	1.01164i	0.653375	+	0.270372i
$15$	2.45896	+	8.37444i	0.634900	+	2.16227i
$16$	−0.142315	+	0.989821i	−0.0355787	+	0.247455i
$17$	−4.81565	+	5.55756i	−1.16797	+	1.34791i	−0.242013	+	0.970273i	$0.577808\pi$
$17$	−4.81565	+	5.55756i	−1.16797	+	1.34791i	−0.925955	+	0.377634i	$0.876738\pi$
$18$	−3.61176	+	2.32114i	−0.851300	+	0.547098i
$19$	1.19669	+	1.38105i	0.274539	+	0.316835i	0.876229	−	0.481895i	$-0.160051\pi$
$19$	1.19669	+	1.38105i	0.274539	+	0.316835i	−0.601690	+	0.798730i	$0.705506\pi$
$20$	−3.10094	−	0.910518i	−0.693391	−	0.203598i
$21$	−6.92381	−	1.76465i	−1.51090	−	0.385078i
$22$		−	0.993434i		−	0.211801i
$23$	3.70768	+	3.04189i	0.773106	+	0.634277i
$23$	3.70768	+	3.04189i	0.773106	+	0.634277i
$24$		−	2.70061i		−	0.551260i
$25$	2.26188	−	4.95284i	0.452377	−	0.990567i
$26$	1.46413	−	4.98635i	0.287139	−	0.977905i
$27$	2.63963	−	2.28725i	0.507996	−	0.440181i
$28$	1.93579	−	1.80353i	0.365829	−	0.340836i
$29$	0.920574	−	1.06240i	0.170946	−	0.197283i	−0.663811	−	0.747900i	$-0.731062\pi$
$29$	0.920574	−	1.06240i	0.170946	−	0.197283i	0.834758	+	0.550617i	$0.185608\pi$
$30$	8.63915	+	1.24212i	1.57729	+	0.226779i
$31$	−1.36388	−	4.64494i	−0.244960	−	0.834256i	−0.986558	−	0.163412i	$-0.947750\pi$
$31$	−1.36388	−	4.64494i	−0.244960	−	0.834256i	0.741598	−	0.670844i	$-0.234068\pi$
$32$	0.841254	+	0.540641i	0.148714	+	0.0955727i
$33$	0.381814	+	2.65557i	0.0664652	+	0.462276i
$34$	3.05484	+	6.68917i	0.523901	+	1.14718i
$35$	4.87908	+	7.02202i	0.824714	+	1.18694i
$36$	0.611002	+	4.24961i	0.101834	+	0.708268i
$37$	3.29838	−	5.13238i	0.542251	−	0.843759i	−0.456697	−	0.889622i	$-0.650968\pi$
$37$	3.29838	−	5.13238i	0.542251	−	0.843759i	0.998948	+	0.0458636i	$0.0146040\pi$
$38$	1.75337	−	0.514837i	0.284435	−	0.0835175i
$39$	−1.99735	+	13.8919i	−0.319832	+	2.22448i
$40$	−2.11641	+	2.44247i	−0.334634	+	0.386189i
$41$	−5.69725	−	8.86510i	−0.889761	−	1.38450i	−0.922898	−	0.385044i	$-0.874186\pi$
$41$	−5.69725	−	8.86510i	−0.889761	−	1.38450i	0.0331370	−	0.999451i	$-0.489450\pi$
$42$	−4.48144	+	5.56506i	−0.691501	+	0.858707i
$43$	2.81801	−	9.59725i	0.429742	−	1.46357i	−0.405709	−	0.914002i	$-0.632975\pi$
$43$	2.81801	−	9.59725i	0.429742	−	1.46357i	0.835451	−	0.549565i	$-0.185206\pi$
$44$	−0.903659	−	0.412687i	−0.136232	−	0.0622150i
$45$	−13.8753			−2.06841
$46$	4.30723	−	2.10898i	0.635066	−	0.310953i
$47$			7.29727i			1.06442i	0.846614	+	0.532208i	$0.178638\pi$
$47$			7.29727i			1.06442i	−0.846614	+	0.532208i	$0.821362\pi$
$48$	−2.45656	−	1.12188i	−0.354574	−	0.161929i
$49$	−6.98182	+	0.504204i	−0.997403	+	0.0720291i
$50$	−3.56564	−	4.11497i	−0.504257	−	0.581944i
$51$	−10.7369	−	16.7069i	−1.50346	−	2.33943i
$52$	−3.92753	−	3.40322i	−0.544650	−	0.471942i
$53$	−6.00768	−	0.863774i	−0.825218	−	0.118648i	−0.283249	−	0.959047i	$-0.591412\pi$
$53$	−6.00768	−	0.863774i	−0.825218	−	0.118648i	−0.541970	+	0.840398i	$0.682321\pi$
$54$	−0.984015	−	3.35125i	−0.133907	−	0.456047i
$55$	1.73580	−	2.70096i	0.234055	−	0.364197i
$56$	−0.836395	−	2.51007i	−0.111768	−	0.335422i
$57$	−4.48911	+	2.05011i	−0.594597	+	0.271543i
$58$	−0.583972	−	1.27872i	−0.0766793	−	0.167904i
$59$	−5.52767	+	0.794758i	−0.719641	+	0.103469i	−0.492399	−	0.870370i	$-0.663880\pi$
$59$	−5.52767	+	0.794758i	−0.719641	+	0.103469i	−0.227242	+	0.973838i	$0.572971\pi$
$60$	4.71871	−	7.34245i	0.609182	−	0.947906i
$61$	3.21714	−	0.944636i	0.411912	−	0.120948i	−0.0692096	−	0.997602i	$-0.522048\pi$
$61$	3.21714	−	0.944636i	0.411912	−	0.120948i	0.481122	+	0.876654i	$0.340230\pi$
$62$	−4.79176	−	0.688951i	−0.608554	−	0.0874969i
$63$	5.79279	−	9.77093i	0.729823	−	1.23102i
$64$	0.841254	−	0.540641i	0.105157	−	0.0675801i
$65$	12.6932	−	10.9987i	1.57440	−	1.36422i
$66$	2.57421	+	0.755855i	0.316863	+	0.0930393i
$67$	−5.13674	−	2.34587i	−0.627552	−	0.286594i	0.0761414	−	0.997097i	$-0.475740\pi$
$67$	−5.13674	−	2.34587i	−0.627552	−	0.286594i	−0.703694	+	0.710504i	$0.748467\pi$
$68$	7.35371			0.891768
$69$	−10.7032	+	7.29300i	−1.28851	+	0.877974i
$70$	8.41430	−	1.52111i	1.00570	−	0.181808i
$71$	0.102190	−	0.223764i	0.0121277	−	0.0265559i	−0.903471	−	0.428649i	$-0.858990\pi$
$71$	0.102190	−	0.223764i	0.0121277	−	0.0265559i	0.915599	+	0.402093i	$0.131717\pi$
$72$	4.11940	+	1.20956i	0.485476	+	0.142549i
$73$	−0.551966	+	0.478281i	−0.0646027	+	0.0559786i	−0.686564	−	0.727070i	$-0.740882\pi$
$73$	−0.551966	+	0.478281i	−0.0646027	+	0.0559786i	0.621961	+	0.783048i	$0.286336\pi$
$74$	−3.29838	−	5.13238i	−0.383429	−	0.596628i
$75$	11.1129	+	9.62941i	1.28321	+	1.11191i
$76$	0.260065	−	1.80879i	0.0298315	−	0.207483i
$77$	1.17732	+	2.34996i	0.134168	+	0.267802i
$78$	11.8068	+	7.58774i	1.33685	+	0.859143i
$79$	−0.298336	+	0.0428943i	−0.0335654	+	0.00482598i	−0.159077	−	0.987266i	$-0.550852\pi$
$79$	−0.298336	+	0.0428943i	−0.0335654	+	0.00482598i	0.125512	+	0.992092i	$0.459943\pi$
$80$	1.34256	+	2.93980i	0.150103	+	0.328679i
$81$	−1.43211	−	3.13589i	−0.159124	−	0.348432i
$82$	−10.4307	+	1.49971i	−1.15188	+	0.165615i
$83$	−12.8035	−	8.22828i	−1.40536	−	0.903171i	−0.405422	−	0.914130i	$-0.632875\pi$
$83$	−12.8035	−	8.22828i	−1.40536	−	0.903171i	−0.999940	+	0.0109585i	$0.996512\pi$
$84$	3.20050	+	6.38827i	0.349203	+	0.697017i
$85$	−3.38227	+	23.5242i	−0.366859	+	2.55156i
$86$	−7.55932	−	6.55019i	−0.815143	−	0.706325i
$87$	2.05249	+	3.19374i	0.220050	+	0.342404i
$88$	−0.750787	+	0.650561i	−0.0800342	+	0.0693500i
$89$	−8.66754	−	2.54502i	−0.918758	−	0.269772i	−0.212035	−	0.977262i	$-0.568009\pi$
$89$	−8.66754	−	2.54502i	−0.918758	−	0.269772i	−0.706723	+	0.707490i	$0.749827\pi$
$90$	−5.76403	+	12.6215i	−0.607582	+	1.33042i
$91$	2.44597	+	13.5303i	0.256407	+	1.41836i
$92$	−0.129113	−	4.79409i	−0.0134609	−	0.499819i
$93$	13.0738			1.35569
$94$	6.63783	+	3.03139i	0.684640	+	0.312664i
$95$	5.66664	+	1.66388i	0.581385	+	0.170710i
$96$	−2.04099	+	1.76853i	−0.208307	+	0.180499i
$97$	9.11261	−	5.85632i	0.925245	−	0.594619i	0.0110702	−	0.999939i	$-0.496476\pi$
$97$	9.11261	−	5.85632i	0.925245	−	0.594619i	0.914175	+	0.405320i	$0.132840\pi$
$98$	−2.44171	+	6.56034i	−0.246650	+	0.662694i
$99$	−4.22171	−	0.606990i	−0.424297	−	0.0610048i
$100$	−5.22432	+	1.53400i	−0.522432	+	0.153400i
$101$	7.33622	−	11.4154i	0.729981	−	1.13587i	−0.255619	−	0.966778i	$-0.582279\pi$
$101$	7.33622	−	11.4154i	0.729981	−	1.13587i	0.985600	−	0.169095i	$-0.0540844\pi$
$102$	−19.6574	+	2.82630i	−1.94637	+	0.279846i
$103$	−3.39800	−	7.44058i	−0.334815	−	0.733142i	0.665093	−	0.746761i	$-0.268392\pi$
$103$	−3.39800	−	7.44058i	−0.334815	−	0.733142i	−0.999907	+	0.0136190i	$0.995665\pi$
$104$	−4.72723	+	2.15886i	−0.463543	+	0.211693i
$105$	−21.9078	+	7.30005i	−2.13799	+	0.712412i
$106$	−3.28140	+	5.10595i	−0.318717	+	0.495934i
$107$	1.47125	+	5.01063i	0.142231	+	0.484396i	0.999537	−	0.0304114i	$-0.00968174\pi$
$107$	1.47125	+	5.01063i	0.142231	+	0.484396i	−0.857306	+	0.514807i	$0.827864\pi$
$108$	−3.45718	−	0.497067i	−0.332667	−	0.0478303i
$109$	7.52628	+	6.52156i	0.720887	+	0.624652i	0.936026	−	0.351931i	$-0.114475\pi$
$109$	7.52628	+	6.52156i	0.720887	+	0.624652i	−0.215139	+	0.976584i	$0.569020\pi$
$110$	−1.73580	−	2.70096i	−0.165502	−	0.257526i
$111$	10.7896	+	12.4518i	1.02410	+	1.18187i
$112$	−2.63069	−	0.281908i	−0.248577	−	0.0266378i
$113$	14.5791	+	6.65805i	1.37149	+	0.626337i	0.958681	−	0.284483i	$-0.0918218\pi$
$113$	14.5791	+	6.65805i	1.37149	+	0.626337i	0.412805	+	0.910819i	$0.364549\pi$
$114$			4.93509i			0.462213i
$115$	15.3955	+	1.79197i	1.43564	+	0.167102i
$116$	−1.40576			−0.130521
$117$	−20.2955	−	9.26863i	−1.87632	−	0.856885i
$118$	−1.57334	+	5.35830i	−0.144838	+	0.493271i
$119$	−15.1535	−	12.2028i	−1.38912	−	1.11863i
$120$	−4.71871	−	7.34245i	−0.430757	−	0.670271i
$121$	−6.55718	+	7.56739i	−0.596107	+	0.687944i
$122$	0.477175	−	3.31883i	0.0432014	−	0.300472i
$123$	27.3062	−	8.01781i	2.46211	−	0.722942i
$124$	−2.61726	+	4.07254i	−0.235037	+	0.365725i
$125$	−0.204618	−	1.42315i	−0.0183016	−	0.127290i
$126$	−6.48154	−	9.32830i	−0.577421	−	0.831031i
$127$	3.23614	+	7.08616i	0.287161	+	0.628795i	0.997152	−	0.0754157i	$-0.0240284\pi$
$127$	3.23614	+	7.08616i	0.287161	+	0.628795i	−0.709991	+	0.704211i	$0.751301\pi$
$128$	−0.142315	−	0.989821i	−0.0125790	−	0.0874887i
$129$	22.7245	+	14.6041i	2.00078	+	1.28582i
$130$	−4.73184	−	16.1152i	−0.415010	−	1.41339i
$131$	8.61915	+	1.23925i	0.753058	+	0.108273i	0.508145	−	0.861272i	$-0.330331\pi$
$131$	8.61915	+	1.23925i	0.753058	+	0.108273i	0.244913	+	0.969545i	$0.421241\pi$
$132$	1.75691	−	2.02759i	0.152920	−	0.176479i
$133$	−3.53745	+	3.29576i	−0.306736	+	0.285779i
$134$	−4.26776	+	3.69803i	−0.368678	+	0.319461i
$135$	3.18019	−	10.8307i	0.273707	−	0.932162i
$136$	3.05484	−	6.68917i	0.261950	−	0.573591i
$137$		−	8.51513i		−	0.727496i	−0.931497	−	0.363748i	$-0.881497\pi$
$137$		−	8.51513i		−	0.727496i	0.931497	−	0.363748i	$-0.118503\pi$
$138$	2.18768	+	12.7656i	0.186228	+	1.08668i
$139$		−	1.17643i		−	0.0997836i	−0.998755	−	0.0498918i	$-0.984112\pi$
$139$		−	1.17643i		−	0.0997836i	0.998755	−	0.0498918i	$-0.0158877\pi$
$140$	2.11177	−	8.28581i	0.178477	−	0.700278i
$141$	−18.9088	−	5.55213i	−1.59241	−	0.467574i
$142$	−0.161092	−	0.185910i	−0.0135185	−	0.0156012i
$143$	4.34317	−	2.79119i	0.363195	−	0.233411i
$144$	2.81152	−	3.24467i	0.234293	−	0.270389i
$145$	0.646564	−	4.49695i	0.0536942	−	0.373452i
$146$	0.205765	+	0.700771i	0.0170292	+	0.0579962i
$147$	4.00562	−	18.4750i	0.330378	−	1.52380i
$148$	−6.03878	+	0.868245i	−0.496385	+	0.0713693i
$149$	7.37675	−	3.36885i	0.604327	−	0.275987i	−0.0896624	−	0.995972i	$-0.528579\pi$
$149$	7.37675	−	3.36885i	0.604327	−	0.275987i	0.693989	+	0.719985i	$0.255852\pi$
$150$	13.3757	−	6.10847i	1.09212	−	0.498755i
$151$	−0.738616	−	5.13718i	−0.0601077	−	0.418058i	−0.997552	−	0.0699238i	$-0.977724\pi$
$151$	−0.738616	−	5.13718i	−0.0601077	−	0.418058i	0.937445	−	0.348134i	$-0.113185\pi$
$152$	−1.53730	−	0.987964i	−0.124692	−	0.0801345i
$153$	30.2929	−	8.89479i	2.44903	−	0.719101i
$154$	2.62667	−	0.0947214i	0.211663	−	0.00763287i
$155$	−11.8241	−	10.2456i	−0.949734	−	0.822949i
$156$	11.8068	−	7.58774i	0.945297	−	0.607506i
$157$	10.8368	+	12.5063i	0.864870	+	0.998114i	0.999973	+	0.00728211i	$0.00231799\pi$
$157$	10.8368	+	12.5063i	0.864870	+	0.998114i	−0.135103	+	0.990832i	$0.543137\pi$
$158$	−0.0849153	+	0.289195i	−0.00675550	+	0.0230071i
$159$	6.80917	−	14.9100i	0.540003	−	1.18244i
$160$	3.23185			0.255500
$161$	−7.68933	+	10.0933i	−0.606004	+	0.795462i
$162$	−3.44742			−0.270855
$163$	−2.99084	+	6.54902i	−0.234260	+	0.512959i	−0.989855	−	0.142081i	$-0.954621\pi$
$163$	−2.99084	+	6.54902i	−0.234260	+	0.512959i	0.755595	+	0.655039i	$0.227348\pi$
$164$	−2.96889	+	10.1111i	−0.231831	+	0.789544i
$165$	5.67809	+	6.55286i	0.442038	+	0.510140i
$166$	−12.8035	+	8.22828i	−0.993741	+	0.638638i
$167$	−15.0206	−	13.0154i	−1.16233	−	1.00716i	−0.999791	−	0.0204622i	$-0.993486\pi$
$167$	−15.0206	−	13.0154i	−1.16233	−	1.00716i	−0.162539	−	0.986702i	$-0.551968\pi$
$168$	7.14051	−	0.257497i	0.550902	−	0.0198663i
$169$	13.4400	−	3.94634i	1.03385	−	0.303565i
$170$	19.9933	+	12.8489i	1.53342	+	0.985468i
$171$	−1.11654	−	7.76571i	−0.0853840	−	0.593859i
$172$	−9.09852	+	4.15515i	−0.693756	+	0.316828i
$173$	−13.3402	+	6.09228i	−1.01424	+	0.463188i	−0.851988	−	0.523562i	$-0.824603\pi$
$173$	−13.3402	+	6.09228i	−1.01424	+	0.463188i	−0.162252	+	0.986749i	$0.551876\pi$
$174$	3.75776	−	0.540284i	0.284875	−	0.0409588i
$175$	13.3111	+	5.50826i	1.00623	+	0.416385i
$176$	0.279883	+	0.953193i	0.0210970	+	0.0718496i
$177$	2.14633	−	14.9281i	0.161328	−	1.12206i
$178$	−5.91566	+	6.82704i	−0.443397	+	0.511708i
$179$	−20.2870	+	13.0377i	−1.51632	+	0.974481i	−0.523876	+	0.851795i	$0.675514\pi$
$179$	−20.2870	+	13.0377i	−1.51632	+	0.974481i	−0.992446	+	0.122686i	$0.960849\pi$
$180$	9.08642	+	10.4863i	0.677262	+	0.781602i
$181$	−2.79809	−	0.821594i	−0.207981	−	0.0610686i	0.176083	−	0.984375i	$-0.443657\pi$
$181$	−2.79809	−	0.821594i	−0.207981	−	0.0610686i	−0.384063	+	0.923307i	$0.625476\pi$
$182$	13.3237	+	3.39576i	0.987617	+	0.251711i
$183$			9.05503i			0.669367i
$184$	−4.41450	−	1.87409i	−0.325441	−	0.138160i
$185$		−	19.7171i		−	1.44963i
$186$	5.43104	−	11.8923i	0.398223	−	0.871987i
$187$	−2.05818	+	7.00950i	−0.150509	+	0.512586i
$188$	5.51491	−	4.77869i	0.402216	−	0.348522i
$189$	6.29924	+	6.76118i	0.458203	+	0.491803i
$190$	3.86752	−	4.46336i	0.280580	−	0.323806i
$191$	−5.33331	−	0.766815i	−0.385905	−	0.0554848i	−0.0533679	−	0.998575i	$-0.516996\pi$
$191$	−5.33331	−	0.766815i	−0.385905	−	0.0554848i	−0.332537	+	0.943090i	$0.607905\pi$
$192$	0.760851	+	2.59122i	0.0549097	+	0.187005i
$193$	14.5482	+	9.34957i	1.04720	+	0.672997i	0.946758	−	0.321946i	$-0.104337\pi$
$193$	14.5482	+	9.34957i	1.04720	+	0.672997i	0.100445	+	0.994943i	$0.467973\pi$
$194$	−1.54158	−	10.7219i	−0.110679	−	0.769789i
$195$	18.8425	+	41.2592i	1.34934	+	2.95463i
$196$	4.95317	+	4.94632i	0.353798	+	0.353309i
$197$	0.959133	+	6.67092i	0.0683354	+	0.475283i	0.995039	+	0.0994892i	$0.0317209\pi$
$197$	0.959133	+	6.67092i	0.0683354	+	0.475283i	−0.926703	+	0.375794i	$0.877370\pi$
$198$	−2.30590	+	3.58805i	−0.163873	+	0.254991i
$199$	−7.43795	+	2.18398i	−0.527263	+	0.154818i	−0.534521	−	0.845155i	$-0.679508\pi$
$199$	−7.43795	+	2.18398i	−0.527263	+	0.154818i	0.00725813	+	0.999974i	$0.497690\pi$
$200$	−0.774887	+	5.38946i	−0.0547928	+	0.381092i
$201$	9.98695	−	11.5256i	0.704425	−	0.812950i
$202$	−7.33622	−	11.4154i	−0.516174	−	0.803183i
$203$	2.89679	+	2.33273i	0.203315	+	0.163726i
$204$	−5.59507	+	19.0551i	−0.391733	+	1.33412i
$205$	−30.9795	−	14.1478i	−2.16370	−	0.988129i
$206$	−8.17977			−0.569911
$207$	−6.33063	−	19.5926i	−0.440009	−	1.36178i
$208$			5.19686i			0.360338i
$209$	1.65134	+	0.754143i	0.114226	+	0.0521651i
$210$	−2.46049	+	22.9606i	−0.169790	+	1.58443i
$211$	−0.897028	−	1.03523i	−0.0617540	−	0.0712679i	0.724032	−	0.689766i	$-0.242287\pi$
$211$	−0.897028	−	1.03523i	−0.0617540	−	0.0712679i	−0.785786	+	0.618498i	$0.787741\pi$
$212$	3.28140	+	5.10595i	0.225367	+	0.350678i
$213$	0.502071	+	0.435047i	0.0344013	+	0.0298089i
$214$	5.16901	+	0.743191i	0.353346	+	0.0508035i
$215$	−9.10739	−	31.0169i	−0.621119	−	2.11534i
$216$	−1.88831	+	2.93827i	−0.128483	+	0.199924i
$217$	12.1513	−	4.04902i	0.824886	−	0.274865i
$218$	9.05875	−	4.13699i	0.613536	−	0.280193i
$219$	−0.819367	−	1.79416i	−0.0553677	−	0.121238i
$220$	−3.17795	+	0.456921i	−0.214258	+	0.0308056i
$221$	−20.6613	+	32.1495i	−1.38983	+	2.16261i
$222$	15.8087	−	4.64186i	1.06101	−	0.311541i
$223$	8.03143	+	1.15475i	0.537824	+	0.0773275i	0.405874	−	0.913929i	$-0.366967\pi$
$223$	8.03143	+	1.15475i	0.537824	+	0.0773275i	0.131950	+	0.991256i	$0.457876\pi$
$224$	−1.34926	+	2.27585i	−0.0901513	+	0.152062i
$225$	−19.6656	+	12.6383i	−1.31104	+	0.842554i
$226$	12.1128	−	10.4958i	0.805728	−	0.698168i
$227$	18.1677	+	5.33453i	1.20583	+	0.354065i	0.822081	−	0.569370i	$-0.192813\pi$
$227$	18.1677	+	5.33453i	1.20583	+	0.354065i	0.383754	+	0.923436i	$0.374631\pi$
$228$	4.48911	+	2.05011i	0.297299	+	0.135772i
$229$	−6.25542			−0.413370			−0.206685	−	0.978408i	$-0.566267\pi$
$229$	−6.25542			−0.413370			−0.206685	+	0.978408i	$0.566267\pi$
$230$	8.02555	−	13.2598i	0.529189	−	0.874326i
$231$	−6.98502	+	1.26273i	−0.459580	+	0.0830815i
$232$	−0.583972	+	1.27872i	−0.0383396	+	0.0839521i
$233$	−20.8051	−	6.10892i	−1.36299	−	0.400209i	−0.483171	−	0.875526i	$-0.660515\pi$
$233$	−20.8051	−	6.10892i	−1.36299	−	0.400209i	−0.879814	+	0.475318i	$0.842333\pi$
$234$	−16.8621	+	14.6111i	−1.10231	+	0.955157i
$235$	12.7503	+	19.8399i	0.831739	+	1.29421i
$236$	4.22049	+	3.65708i	0.274731	+	0.238055i
$237$	0.115841	−	0.805690i	0.00752467	−	0.0523352i
$238$	−17.3951	+	8.71489i	−1.12756	+	0.564903i
$239$	−10.7316	−	6.89676i	−0.694167	−	0.446114i	0.145398	−	0.989373i	$-0.453554\pi$
$239$	−10.7316	−	6.89676i	−0.694167	−	0.446114i	−0.839565	+	0.543259i	$0.817190\pi$
$240$	−8.63915	+	1.24212i	−0.557655	+	0.0801786i
$241$	8.28337	+	18.1380i	0.533579	+	1.16837i	0.964038	+	0.265764i	$0.0856243\pi$
$241$	8.28337	+	18.1380i	0.533579	+	1.16837i	−0.430459	+	0.902610i	$0.641648\pi$
$242$	4.15959	+	9.10823i	0.267388	+	0.585499i
$243$	19.5869	−	2.81617i	1.25650	−	0.180658i
$244$	−2.82068	−	1.81274i	−0.180576	−	0.116049i
$245$	−18.1012	+	13.5700i	−1.15645	+	0.866953i
$246$	4.05013	−	28.1693i	0.258227	−	1.79601i
$247$	7.17714	+	6.21903i	0.456671	+	0.395707i
$248$	2.61726	+	4.07254i	0.166196	+	0.258606i
$249$	31.0628	−	26.9161i	1.96852	−	1.70574i
$250$	−1.37954	−	0.405071i	−0.0872500	−	0.0256189i
$251$	−9.45326	+	20.6997i	−0.596684	+	1.30656i	0.334633	+	0.942348i	$0.391387\pi$
$251$	−9.45326	+	20.6997i	−0.596684	+	1.30656i	−0.931318	+	0.364208i	$0.881340\pi$
$252$	−11.1778	+	2.02070i	−0.704138	+	0.127292i
$253$	4.60583	+	1.21871i	0.289566	+	0.0766199i
$254$	7.79014			0.488797
$255$	−58.3830	−	26.6626i	−3.65608	−	1.66968i
$256$	−0.959493	−	0.281733i	−0.0599683	−	0.0176083i
$257$	−14.7278	+	12.7617i	−0.918694	+	0.796053i	−0.979364	−	0.202105i	$-0.935222\pi$
$257$	−14.7278	+	12.7617i	−0.918694	+	0.796053i	0.0606702	+	0.998158i	$0.480676\pi$
$258$	22.7245	−	14.6041i	1.41477	−	0.909214i
$259$	13.8847	+	8.23167i	0.862752	+	0.511491i
$260$	−16.6246	−	2.39025i	−1.03101	−	0.148237i
$261$	−5.79087	+	1.70035i	−0.358446	+	0.105249i
$262$	4.70778	−	7.32545i	0.290848	−	0.452568i
$263$	14.9971	−	2.15626i	0.924763	−	0.132961i	0.336549	−	0.941666i	$-0.390740\pi$
$263$	14.9971	−	2.15626i	0.924763	−	0.132961i	0.588214	+	0.808705i	$0.299831\pi$
$264$	−1.11451	−	2.44043i	−0.0685933	−	0.150198i
$265$	−17.8430	+	8.14862i	−1.09609	+	0.500566i
$266$	1.52842	+	4.58689i	0.0937137	+	0.281240i
$267$	13.1894	−	20.5231i	0.807179	−	1.25599i
$268$	1.59096	+	5.41830i	0.0971832	+	0.330976i
$269$	−1.08646	−	0.156209i	−0.0662424	−	0.00952422i	0.109114	−	0.994029i	$-0.465199\pi$
$269$	−1.08646	−	0.156209i	−0.0662424	−	0.00952422i	−0.175356	+	0.984505i	$0.556108\pi$
$270$	−8.53089	−	7.39206i	−0.519173	−	0.449866i
$271$	0.137693	+	0.214254i	0.00836423	+	0.0130150i	0.845410	−	0.534117i	$-0.179356\pi$
$271$	0.137693	+	0.214254i	0.00836423	+	0.0130150i	−0.837046	+	0.547132i	$0.815720\pi$
$272$	−4.81565	−	5.55756i	−0.291992	−	0.336977i
$273$	−36.9210	−	3.95650i	−2.23456	−	0.239458i
$274$	−7.74563	−	3.53731i	−0.467931	−	0.213697i
$275$		−	5.40913i		−	0.326183i
$276$	12.5208	+	3.31303i	0.753662	+	0.199421i
$277$	−7.46755			−0.448681			−0.224341	−	0.974511i	$-0.572023\pi$
$277$	−7.46755			−0.448681			−0.224341	+	0.974511i	$0.572023\pi$
$278$	−1.07012	−	0.488707i	−0.0641815	−	0.0293107i
$279$	−5.85555	+	19.9422i	−0.350562	+	1.19391i
$280$	−6.65977	−	5.36298i	−0.397997	−	0.320500i
$281$	6.75916	+	10.5175i	0.403218	+	0.627419i	0.982182	−	0.187934i	$-0.0601791\pi$
$281$	6.75916	+	10.5175i	0.403218	+	0.627419i	−0.578964	+	0.815353i	$0.696543\pi$
$282$	−12.9054	+	14.8936i	−0.768505	+	0.886903i
$283$	−0.886946	+	6.16884i	−0.0527235	+	0.366700i	0.946330	+	0.323202i	$0.104759\pi$
$283$	−0.886946	+	6.16884i	−0.0527235	+	0.366700i	−0.999054	+	0.0434979i	$0.986150\pi$
$284$	−0.236030	+	0.0693045i	−0.0140058	+	0.00411247i
$285$	−8.62294	+	13.4176i	−0.510779	+	0.794787i
$286$	−0.734735	−	5.11019i	−0.0434458	−	0.302172i
$287$	22.8964	−	15.9090i	1.35153	−	0.939077i
$288$	−1.78351	−	3.90533i	−0.105094	−	0.230124i
$289$	−5.27661	−	36.6996i	−0.310389	−	2.15880i
$290$	−3.82198	−	2.45624i	−0.224434	−	0.144235i
$291$	8.24167	+	28.0685i	0.483135	+	1.64541i
$292$	0.722921	+	0.103940i	0.0423058	+	0.00608265i
$293$	12.5637	−	14.4992i	0.733977	−	0.847054i	−0.258937	−	0.965894i	$-0.583372\pi$
$293$	12.5637	−	14.4992i	0.733977	−	0.847054i	0.992913	+	0.118840i	$0.0379175\pi$
$294$	−15.1415	−	11.3184i	−0.883070	−	0.660105i
$295$	−13.6400	+	11.8191i	−0.794152	+	0.688137i
$296$	−1.71882	+	5.85375i	−0.0999041	+	0.340242i
$297$	1.44140	−	3.15624i	0.0836388	−	0.183143i
$298$		−	8.10960i		−	0.469776i
$299$	21.3220	+	12.9052i	1.23308	+	0.746327i
$300$		−	14.7045i		−	0.848965i
$301$	25.6441	+	6.53583i	1.47810	+	0.376719i
$302$	−4.97978	−	1.46219i	−0.286554	−	0.0841399i
$303$	23.9980	+	27.6951i	1.37865	+	1.59104i
$304$	−1.53730	+	0.987964i	−0.0881703	+	0.0566636i
$305$	7.09624	−	8.18949i	0.406329	−	0.468929i
$306$	4.49313	−	31.2504i	0.256855	−	1.78647i
$307$	−7.77679	−	26.4853i	−0.443845	−	1.51160i	−0.813020	−	0.582236i	$-0.802178\pi$
$307$	−7.77679	−	26.4853i	−0.443845	−	1.51160i	0.369175	−	0.929360i	$-0.379640\pi$
$308$	1.00500	−	2.42865i	0.0572650	−	0.138385i
$309$	21.8655	−	3.14379i	1.24389	−	0.178844i
$310$	−14.2317	+	6.49938i	−0.808304	+	0.369140i
$311$	16.5276	−	7.54788i	0.937192	−	0.428001i	0.112543	−	0.993647i	$-0.464100\pi$
$311$	16.5276	−	7.54788i	0.937192	−	0.428001i	0.824648	+	0.565646i	$0.191373\pi$
$312$	−1.99735	−	13.8919i	−0.113078	−	0.786472i
$313$	−5.34781	−	3.43683i	−0.302276	−	0.194261i	0.380706	−	0.924696i	$-0.375681\pi$
$313$	−5.34781	−	3.43683i	−0.302276	−	0.194261i	−0.682982	+	0.730435i	$0.739317\pi$
$314$	15.8779	−	4.66218i	0.896043	−	0.263102i
$315$	−1.32298	−	36.6869i	−0.0745414	−	2.06707i
$316$	0.227786	+	0.197378i	0.0128140	+	0.0111034i
$317$	7.64036	−	4.91016i	0.429125	−	0.275782i	−0.308198	−	0.951322i	$-0.599726\pi$
$317$	7.64036	−	4.91016i	0.429125	−	0.275782i	0.737323	+	0.675540i	$0.236089\pi$
$318$	−10.7340	−	12.3877i	−0.601932	−	0.694667i
$319$	0.393447	−	1.33996i	0.0220288	−	0.0750231i
$320$	1.34256	−	2.93980i	0.0750514	−	0.164340i
$321$	−14.1030			−0.787155
$322$	5.98690	+	11.1874i	0.333637	+	0.623447i
$323$	−13.4381			−0.747717
$324$	−1.43211	+	3.13589i	−0.0795618	+	0.174216i
$325$	7.97199	−	27.1501i	0.442206	−	1.50602i
$326$	4.71476	+	5.44112i	0.261126	+	0.301356i
$327$	−22.6252	+	14.5403i	−1.25117	+	0.804081i
$328$	7.96406	+	6.90090i	0.439742	+	0.381038i
$329$	−19.2942	+	0.695776i	−1.06372	+	0.0383594i
$330$	8.31945	−	2.44281i	0.457971	−	0.134472i
$331$	20.7974	+	13.3657i	1.14313	+	0.734643i	0.968259	−	0.249949i	$-0.0804138\pi$
$331$	20.7974	+	13.3657i	1.14313	+	0.734643i	0.174868	+	0.984592i	$0.444050\pi$
$332$	2.16596	+	15.0646i	0.118873	+	0.826776i
$333$	−23.8259	+	10.8809i	−1.30565	+	0.596272i
$334$	−18.0790	+	8.25642i	−0.989241	+	0.451771i
$335$	−18.0647	+	2.59731i	−0.986979	+	0.141906i
$336$	2.73205	−	6.60220i	0.149045	−	0.360180i
$337$	−9.11296	−	31.0359i	−0.496415	−	1.69063i	−0.702153	−	0.712026i	$-0.747778\pi$
$337$	−9.11296	−	31.0359i	−0.496415	−	1.69063i	0.205738	−	0.978607i	$-0.434040\pi$
$338$	1.99346	−	13.8648i	0.108430	−	0.754147i
$339$	−28.3450	+	32.7119i	−1.53949	+	1.77666i
$340$	19.9933	−	12.8489i	1.08429	−	0.696831i
$341$	−3.14939	−	3.63459i	−0.170549	−	0.196824i
$342$	−7.52777	−	2.21035i	−0.407055	−	0.119522i
$343$	−1.99883	−	18.4121i	−0.107927	−	0.994159i
$344$			10.0024i			0.539294i
$345$	−16.3571	+	38.5297i	−0.880634	+	2.07437i
$346$			14.6655i			0.788424i
$347$	−7.75091	+	16.9721i	−0.416091	+	0.911112i	0.579291	+	0.815121i	$0.303329\pi$
$347$	−7.75091	+	16.9721i	−0.416091	+	0.911112i	−0.995382	+	0.0959914i	$0.969398\pi$
$348$	1.06957	−	3.64262i	0.0573349	−	0.195265i
$349$	−1.97757	+	1.71358i	−0.105857	+	0.0917257i	−0.706181	−	0.708031i	$-0.749584\pi$
$349$	−1.97757	+	1.71358i	−0.105857	+	0.0917257i	0.600324	+	0.799757i	$0.295038\pi$
$350$	10.5401	−	9.82001i	0.563394	−	0.524902i
$351$	11.8865	−	13.7178i	0.634456	−	0.732201i
$352$	0.983322	+	0.141380i	0.0524113	+	0.00753560i
$353$	−4.67624	−	15.9258i	−0.248891	−	0.847646i	−0.985260	−	0.171065i	$-0.945279\pi$
$353$	−4.67624	−	15.9258i	−0.248891	−	0.847646i	0.736368	−	0.676581i	$-0.236539\pi$
$354$	−12.6874	−	8.15373i	−0.674330	−	0.433366i
$355$	−0.113143	−	0.786925i	−0.00600499	−	0.0417656i
$356$	3.75264	+	8.21713i	0.198889	+	0.435507i
$357$	43.1498	−	29.9816i	2.28373	−	1.58679i
$358$	3.43195	+	23.8697i	0.181384	+	1.26156i
$359$	5.75154	−	8.94957i	0.303554	−	0.472340i	−0.655645	−	0.755069i	$-0.727603\pi$
$359$	5.75154	−	8.94957i	0.303554	−	0.472340i	0.959200	+	0.282729i	$0.0912397\pi$
$360$	13.3133	−	3.90914i	0.701672	−	0.206030i
$361$	2.22874	−	15.5012i	0.117302	−	0.815854i
$362$	−1.90972	+	2.20393i	−0.100373	+	0.115836i
$363$	−14.6197	−	22.7487i	−0.767337	−	1.19400i
$364$	8.62375	−	10.7090i	0.452007	−	0.561304i
$365$	−0.665002	+	2.26479i	−0.0348078	+	0.118544i
$366$	8.23674	+	3.76159i	0.430541	+	0.196622i
$367$	−27.7984			−1.45106			−0.725532	−	0.688188i	$-0.758406\pi$
$367$	−27.7984			−1.45106			−0.725532	+	0.688188i	$0.758406\pi$
$368$	−3.53858	+	3.23704i	−0.184461	+	0.168742i
$369$			45.2427i			2.35524i
$370$	−17.9353	−	8.19080i	−0.932414	−	0.425819i
$371$	1.71103	−	15.9669i	0.0888322	−	0.828958i
$372$	−8.56149	−	9.88049i	−0.443893	−	0.512280i
$373$	−6.39444	−	9.94994i	−0.331091	−	0.515188i	0.635299	−	0.772266i	$-0.280877\pi$
$373$	−6.39444	−	9.94994i	−0.331091	−	0.515188i	−0.966391	+	0.257078i	$0.917240\pi$
$374$	5.52107	+	4.78404i	0.285488	+	0.247377i
$375$	3.84338	+	0.552594i	0.198471	+	0.0285358i
$376$	−2.05588	−	7.00168i	−0.106024	−	0.361084i
$377$	3.94966	−	6.14579i	0.203418	−	0.316524i
$378$	8.76698	−	2.92130i	0.450925	−	0.150255i
$379$	7.18067	−	3.27930i	0.368846	−	0.168446i	−0.222365	−	0.974964i	$-0.571378\pi$
$379$	7.18067	−	3.27930i	0.368846	−	0.168446i	0.591211	+	0.806517i	$0.298650\pi$
$380$	−2.45339	−	5.37217i	−0.125856	−	0.275587i
$381$	−20.8240	+	2.99404i	−1.06685	+	0.153389i
$382$	−2.91306	+	4.53281i	−0.149045	+	0.231919i
$383$	24.9060	−	7.31306i	1.27264	−	0.373680i	0.425454	−	0.904980i	$-0.360115\pi$
$383$	24.9060	−	7.31306i	1.27264	−	0.373680i	0.847184	+	0.531300i	$0.178296\pi$
$384$	2.67312	+	0.384337i	0.136412	+	0.0196131i
$385$	7.30692	+	4.33198i	0.372395	+	0.220778i
$386$	14.5482	−	9.34957i	0.740485	−	0.475881i
$387$	−32.4545	+	28.1220i	−1.64976	+	1.42952i
$388$	−10.3934	−	3.05178i	−0.527645	−	0.154931i
$389$	20.0234	+	9.14438i	1.01523	+	0.463639i	0.852330	−	0.523004i	$-0.175189\pi$
$389$	20.0234	+	9.14438i	1.01523	+	0.463639i	0.162897	+	0.986643i	$0.447916\pi$
$390$	45.3582			2.29680
$391$	−34.7604	+	5.95701i	−1.75791	+	0.301259i
$392$	6.55695	−	2.45079i	0.331176	−	0.123783i
$393$	−9.76904	+	21.3912i	−0.492783	+	1.07904i
$394$	6.46652	+	1.89874i	0.325779	+	0.0956572i
$395$	−0.736171	+	0.637896i	−0.0370408	+	0.0320960i
$396$	2.30590	+	3.58805i	0.115876	+	0.180306i
$397$	4.34009	+	3.76071i	0.217823	+	0.188745i	0.756936	−	0.653489i	$-0.226695\pi$
$397$	4.34009	+	3.76071i	0.217823	+	0.188745i	−0.539114	+	0.842233i	$0.681241\pi$
$398$	−1.10322	+	7.67306i	−0.0552994	+	0.384616i
$399$	−5.84858	−	11.6739i	−0.292795	−	0.584425i
$400$	4.58052	+	2.94372i	0.229026	+	0.147186i
$401$	23.4176	−	3.36695i	1.16942	−	0.168137i	0.469881	−	0.882730i	$-0.344297\pi$
$401$	23.4176	−	3.36695i	1.16942	−	0.168137i	0.699541	+	0.714593i	$0.253388\pi$
$402$	−6.33528	−	13.8723i	−0.315975	−	0.691889i
$403$	−10.4511	−	22.8847i	−0.520606	−	1.13997i
$404$	−13.4314	+	1.93114i	−0.668235	+	0.0960778i
$405$	−9.37289	−	6.02359i	−0.465742	−	0.299315i
$406$	3.32530	−	1.66596i	0.165032	−	0.0826804i
$407$	0.862544	−	5.99913i	0.0427547	−	0.297366i
$408$	15.0088	+	13.0052i	0.743047	+	0.643854i
$409$	11.0026	+	17.1204i	0.544046	+	0.846551i	0.999034	−	0.0439460i	$-0.0139930\pi$
$409$	11.0026	+	17.1204i	0.544046	+	0.846551i	−0.454988	+	0.890497i	$0.650357\pi$
$410$	−25.7387	+	22.3027i	−1.27114	+	1.10145i
$411$	22.0646	+	6.47874i	1.08836	+	0.319573i
$412$	−3.39800	+	7.44058i	−0.167407	+	0.366571i
$413$	−2.62842	−	14.5396i	−0.129336	−	0.715445i
$414$	−20.4519	−	2.38052i	−1.00516	−	0.116996i
$415$	−49.1872			−2.41450
$416$	4.72723	+	2.15886i	0.231772	+	0.105847i
$417$	3.04839	+	0.895089i	0.149280	+	0.0438327i
$418$	1.37198	−	1.18883i	0.0671060	−	0.0581477i
$419$	−20.2981	+	13.0448i	−0.991625	+	0.637279i	−0.932575	−	0.360976i	$-0.882444\pi$
$419$	−20.2981	+	13.0448i	−0.991625	+	0.637279i	−0.0590500	+	0.998255i	$0.518807\pi$
$420$	19.8636	+	11.7763i	0.969244	+	0.574626i
$421$	3.34060	+	0.480306i	0.162811	+	0.0234087i	0.223238	−	0.974764i	$-0.428337\pi$
$421$	3.34060	+	0.480306i	0.162811	+	0.0234087i	−0.0604273	+	0.998173i	$0.519246\pi$
$422$	−1.31431	+	0.385917i	−0.0639798	+	0.0187862i
$423$	16.9380	−	26.3560i	0.823552	−	1.28147i
$424$	6.00768	−	0.863774i	0.291759	−	0.0419486i
$425$	16.6332	+	36.4217i	0.806831	+	1.76671i
$426$	0.604300	−	0.275975i	0.0292784	−	0.0133710i
$427$	2.80439	+	8.41614i	0.135714	+	0.407286i
$428$	2.82331	−	4.39316i	0.136470	−	0.212352i
$429$	3.92807	+	13.3778i	0.189649	+	0.645886i
$430$	−31.9973	−	4.60052i	−1.54305	−	0.221857i
$431$	−5.60001	−	4.85243i	−0.269743	−	0.233733i	0.509477	−	0.860484i	$-0.329839\pi$
$431$	−5.60001	−	4.85243i	−0.269743	−	0.233733i	−0.779220	+	0.626751i	$0.784384\pi$
$432$	1.88831	+	2.93827i	0.0908514	+	0.141368i
$433$	23.7037	+	27.3556i	1.13913	+	1.31462i	0.942523	+	0.334142i	$0.108447\pi$
$433$	23.7037	+	27.3556i	1.13913	+	1.31462i	0.196606	+	0.980483i	$0.437008\pi$
$434$	1.36473	−	12.7353i	0.0655090	−	0.611312i
$435$	11.1606	+	5.09690i	0.535112	+	0.244378i
$436$		−	9.95870i		−	0.476935i
$437$	0.235940	+	8.76070i	0.0112865	+	0.419081i
$438$	−1.97241			−0.0942452
$439$	−13.7144	−	6.26316i	−0.654553	−	0.298924i	0.0603197	−	0.998179i	$-0.480788\pi$
$439$	−13.7144	−	6.26316i	−0.654553	−	0.298924i	−0.714872	+	0.699255i	$0.753515\pi$
$440$	−0.904540	+	3.08058i	−0.0431223	+	0.146861i
$441$	26.3870	+	14.3847i	1.25652	+	0.684986i
$442$	20.6613	+	32.1495i	0.982755	+	1.52920i
$443$	−11.2544	+	12.9882i	−0.534711	+	0.617089i	−0.957252	−	0.289254i	$-0.906593\pi$
$443$	−11.2544	+	12.9882i	−0.534711	+	0.617089i	0.422541	+	0.906344i	$0.361138\pi$
$444$	2.34479	−	16.3084i	0.111279	−	0.773963i
$445$	−28.0122	+	8.22513i	−1.32791	+	0.389909i
$446$	4.38677	−	6.82595i	0.207720	−	0.323218i
$447$	3.11682	+	21.6780i	0.147421	+	1.02533i
$448$	1.50968	+	2.17275i	0.0713258	+	0.102653i
$449$	−3.56174	−	7.79912i	−0.168089	−	0.368063i	0.806777	−	0.590856i	$-0.201210\pi$
$449$	−3.56174	−	7.79912i	−0.168089	−	0.368063i	−0.974866	+	0.222793i	$0.928483\pi$
$450$	3.32683	+	23.1386i	0.156828	+	1.09076i
$451$	−8.80689	−	5.65984i	−0.414700	−	0.266512i
$452$	−4.51546	−	15.3782i	−0.212389	−	0.723332i
$453$	13.8735	+	1.99471i	0.651836	+	0.0937199i
$454$	12.3996	−	14.3099i	0.581942	−	0.671597i
$455$	30.2912	+	32.5125i	1.42007	+	1.52421i
$456$	3.72969	−	3.23179i	0.174659	−	0.151343i
$457$	−4.02842	+	13.7195i	−0.188441	+	0.641773i	0.810024	+	0.586397i	$0.199454\pi$
$457$	−4.02842	+	13.7195i	−0.188441	+	0.641773i	−0.998466	+	0.0553760i	$0.982364\pi$
$458$	−2.59859	+	5.69013i	−0.121424	+	0.265882i
$459$			25.6845i			1.19885i
$460$	−8.72762	−	12.8086i	−0.406927	−	0.597205i
$461$			7.49472i			0.349064i	0.984652	+	0.174532i	$0.0558412\pi$
$461$			7.49472i			0.349064i	−0.984652	+	0.174532i	$0.944159\pi$
$462$	−1.75306	+	6.87835i	−0.0815598	+	0.320010i
$463$	38.8757	+	11.4149i	1.80670	+	0.530496i	0.998308	−	0.0581418i	$-0.0185176\pi$
$463$	38.8757	+	11.4149i	1.80670	+	0.530496i	0.808397	+	0.588638i	$0.200336\pi$
$464$	0.920574	+	1.06240i	0.0427366	+	0.0493206i
$465$	35.5451	−	22.8434i	1.64836	−	1.05934i
$466$	−14.1996	+	16.3872i	−0.657784	+	0.759123i
$467$	−1.20176	+	8.35840i	−0.0556107	+	0.386781i	0.942940	+	0.332963i	$0.108048\pi$
$467$	−1.20176	+	8.35840i	−0.0556107	+	0.386781i	−0.998551	+	0.0538183i	$0.982861\pi$
$468$	6.28594	+	21.4080i	0.290568	+	0.989583i
$469$	5.71278	−	13.8054i	0.263792	−	0.637473i
$470$	23.3437	−	3.35631i	1.07676	−	0.154815i
$471$	−40.6518	+	18.5651i	−1.87314	+	0.855433i
$472$	5.07985	−	2.31989i	0.233819	−	0.106782i
$473$	−1.41415	−	9.83560i	−0.0650225	−	0.452241i
$474$	−0.684760	−	0.440068i	−0.0314521	−	0.0202130i
$475$	9.54690	−	2.80322i	0.438042	−	0.128621i
$476$	0.701157	+	19.4434i	0.0321375	+	0.891189i
$477$	19.6934	+	17.0644i	0.901697	+	0.781325i
$478$	−10.7316	+	6.89676i	−0.490850	+	0.315450i
$479$	−2.20330	−	2.54275i	−0.100672	−	0.116181i	0.703178	−	0.711014i	$-0.251764\pi$
$479$	−2.20330	−	2.54275i	−0.100672	−	0.116181i	−0.803849	+	0.594833i	$0.797218\pi$
$480$	−2.45896	+	8.37444i	−0.112236	+	0.382239i
$481$	13.1709	−	28.8403i	0.600542	−	1.31500i
$482$	19.9400			0.908241
$483$	−20.3035	−	27.6042i	−0.923839	−	1.25604i
$484$	10.0131			0.455140
$485$	14.5429	−	31.8444i	0.660357	−	1.44598i
$486$	5.57502	−	18.9868i	0.252888	−	0.861257i
$487$	0.395912	+	0.456906i	0.0179405	+	0.0207044i	0.764649	−	0.644447i	$-0.222912\pi$
$487$	0.395912	+	0.456906i	0.0179405	+	0.0207044i	−0.746708	+	0.665151i	$0.768367\pi$
$488$	−2.82068	+	1.81274i	−0.127686	+	0.0820590i
$489$	−14.6944	−	12.7327i	−0.664502	−	0.575794i
$490$	4.82415	+	22.1026i	0.217933	+	0.998495i
$491$	−12.9398	+	3.79948i	−0.583967	+	0.171468i	−0.560354	−	0.828253i	$-0.689335\pi$
$491$	−12.9398	+	3.79948i	−0.583967	+	0.171468i	−0.0236127	+	0.999721i	$0.507517\pi$
$492$	−23.9412	−	15.3861i	−1.07935	−	0.693657i
$493$	1.47118	+	10.2323i	0.0662587	+	0.460839i
$494$	8.63852	−	3.94508i	0.388665	−	0.177498i
$495$	−12.5386	+	5.72618i	−0.563568	+	0.257373i
$496$	4.79176	−	0.688951i	0.215156	−	0.0309348i
$497$	0.601383	+	0.248857i	0.0269757	+	0.0111628i
$498$	−11.5798	−	39.4370i	−0.518902	−	1.76722i
$499$	−2.23543	+	15.5478i	−0.100072	+	0.696015i	0.876591	+	0.481236i	$0.159812\pi$
$499$	−2.23543	+	15.5478i	−0.100072	+	0.696015i	−0.976663	+	0.214779i	$0.931097\pi$
$500$	−0.941549	+	1.08661i	−0.0421073	+	0.0485945i
$501$	45.1543	−	29.0189i	2.01734	−	1.29647i
$502$	14.9021	+	17.1980i	0.665114	+	0.767583i
$503$	3.49995	+	1.02768i	0.156055	+	0.0458218i	0.358827	−	0.933404i	$-0.383177\pi$
$503$	3.49995	+	1.02768i	0.156055	+	0.0458218i	−0.202772	+	0.979226i	$0.564995\pi$
$504$	−2.80535	+	11.0072i	−0.124960	+	0.490298i
$505$		−	43.8546i		−	1.95150i
$506$	3.02191	−	3.68334i	0.134340	−	0.163744i
$507$			37.8286i			1.68003i
$508$	3.23614	−	7.08616i	0.143581	−	0.314397i
$509$	−1.01778	+	3.46624i	−0.0451124	+	0.153639i	−0.978969	−	0.204009i	$-0.934603\pi$
$509$	−1.01778	+	3.46624i	−0.0451124	+	0.153639i	0.933857	+	0.357647i	$0.116421\pi$
$510$	−48.5063	+	42.0310i	−2.14790	+	1.86116i
$511$	−1.31722	−	1.41381i	−0.0582703	−	0.0625434i
$512$	−0.654861	+	0.755750i	−0.0289410	+	0.0333997i
$513$	6.31762	+	0.908337i	0.278930	+	0.0401041i
$514$	5.49030	+	18.6983i	0.242167	+	0.824745i
$515$	−22.2392	−	14.2923i	−0.979977	−	0.629793i
$516$	−3.84430	−	26.7377i	−0.169236	−	1.17706i
$517$	3.01149	+	6.59424i	0.132445	+	0.290014i
$518$	13.2557	−	9.21039i	0.582422	−	0.404681i
$519$	−5.63651	−	39.2028i	−0.247415	−	1.72081i
$520$	−9.08034	+	14.1293i	−0.398199	+	0.619610i
$521$	37.2419	−	10.9352i	1.63160	−	0.479081i	0.667496	−	0.744613i	$-0.267366\pi$
$521$	37.2419	−	10.9352i	1.63160	−	0.479081i	0.964102	+	0.265532i	$0.0855478\pi$
$522$	−0.858919	+	5.97391i	−0.0375938	+	0.261471i
$523$	6.39362	−	7.37863i	0.279573	−	0.322645i	−0.598544	−	0.801090i	$-0.704254\pi$
$523$	6.39362	−	7.37863i	0.279573	−	0.322645i	0.878118	+	0.478445i	$0.158799\pi$
$524$	−4.70778	−	7.32545i	−0.205660	−	0.320014i
$525$	−24.4009	+	30.3011i	−1.06494	+	1.32245i
$526$	4.26863	−	14.5376i	0.186121	−	0.633870i
$527$	32.3825	+	14.7886i	1.41060	+	0.644201i
$528$	−2.68288			−0.116757
$529$	4.49385	+	22.5567i	0.195385	+	0.980727i
$530$			19.6156i			0.852047i
$531$	21.8094	+	9.96000i	0.946446	+	0.432227i
$532$	4.80731	+	0.515157i	0.208423	+	0.0223349i
$533$	−35.8630	−	41.3881i	−1.55340	−	1.79272i
$534$	−13.1894	−	20.5231i	−0.570762	−	0.888122i
$535$	12.7550	+	11.0523i	0.551446	+	0.477831i
$536$	5.58957	+	0.803659i	0.241433	+	0.0347128i
$537$	−18.3481	−	62.4878i	−0.791777	−	2.69655i
$538$	−0.593423	+	0.923384i	−0.0255843	+	0.0398099i
$539$	−6.10111	+	3.33694i	−0.262793	+	0.143732i
$540$	−10.2679	+	4.68920i	−0.441861	+	0.201791i
$541$	0.660404	+	1.44608i	0.0283930	+	0.0621719i	0.923297	−	0.384086i	$-0.125484\pi$
$541$	0.660404	+	1.44608i	0.0283930	+	0.0621719i	−0.894904	+	0.446258i	$0.852756\pi$
$542$	0.252092	−	0.0362453i	0.0108283	−	0.00155687i
$543$	4.25786	−	6.62536i	0.182722	−	0.284321i
$544$	−7.05583	+	2.07178i	−0.302516	+	0.0888268i
$545$	31.8575	+	4.58041i	1.36462	+	0.196203i
$546$	−18.9365	+	31.9409i	−0.810407	+	1.36695i
$547$	16.0342	−	10.3046i	0.685573	−	0.440591i	−0.150936	−	0.988543i	$-0.548229\pi$
$547$	16.0342	−	10.3046i	0.685573	−	0.440591i	0.836510	+	0.547952i	$0.184592\pi$
$548$	−6.43530	+	5.57622i	−0.274903	+	0.238204i
$549$	−13.8122	−	4.05561i	−0.589488	−	0.173089i
$550$	−4.92032	−	2.24703i	−0.209803	−	0.0958138i
$551$	2.56887			0.109438
$552$	8.21496	−	10.0130i	0.349652	−	0.426182i
$553$	−0.141859	−	0.784721i	−0.00603248	−	0.0333697i
$554$	−3.10213	+	6.79272i	−0.131797	+	0.288595i
$555$	51.0914	+	15.0018i	2.16871	+	0.636791i
$556$	−0.889088	+	0.770399i	−0.0377057	+	0.0326722i
$557$	11.5883	+	18.0317i	0.491011	+	0.764028i	0.995021	−	0.0996701i	$-0.0317787\pi$
$557$	11.5883	+	18.0317i	0.491011	+	0.764028i	−0.504010	+	0.863698i	$0.668142\pi$
$558$	15.7075	+	13.6107i	0.664953	+	0.576185i
$559$	7.39770	−	51.4521i	0.312889	−	2.17619i
$560$	−7.64491	+	3.83008i	−0.323056	+	0.161850i
$561$	−16.5972	−	10.6664i	−0.700734	−	0.450334i
$562$	12.3749	−	1.77924i	0.522003	−	0.0750527i
$563$	−12.2834	−	26.8970i	−0.517685	−	1.13357i	−0.970309	−	0.241870i	$-0.922239\pi$
$563$	−12.2834	−	26.8970i	−0.517685	−	1.13357i	0.452624	−	0.891702i	$-0.350488\pi$
$564$	8.18662	+	17.9262i	0.344719	+	0.754829i
$565$	51.2712	−	7.37169i	2.15700	−	0.310129i
$566$	5.24293	+	3.36942i	0.220377	+	0.141627i
$567$	8.15484	−	4.08555i	0.342471	−	0.171577i
$568$	−0.0350086	+	0.243490i	−0.00146893	+	0.0102166i
$569$	19.1732	+	16.6137i	0.803782	+	0.696481i	0.956482	−	0.291792i	$-0.0942515\pi$
$569$	19.1732	+	16.6137i	0.803782	+	0.696481i	−0.152700	+	0.988273i	$0.548797\pi$
$570$	8.62294	+	13.4176i	0.361175	+	0.561999i
$571$	1.83278	−	1.58811i	0.0766995	−	0.0664605i	−0.615667	−	0.788006i	$-0.711113\pi$
$571$	1.83278	−	1.58811i	0.0766995	−	0.0664605i	0.692367	+	0.721546i	$0.256568\pi$
$572$	−4.95361	−	1.45451i	−0.207121	−	0.0608162i
$573$	6.04484	−	13.2364i	0.252527	−	0.552957i
$574$	−4.95982	−	27.4361i	−0.207019	−	1.14516i
$575$	23.4523	−	11.4832i	0.978029	−	0.478881i
$576$	−4.29331			−0.178888
$577$	9.05886	+	4.13704i	0.377125	+	0.172227i	0.594954	−	0.803760i	$-0.297170\pi$
$577$	9.05886	+	4.13704i	0.377125	+	0.172227i	−0.217829	+	0.975987i	$0.569897\pi$
$578$	−35.5751	−	10.4458i	−1.47973	−	0.434488i
$579$	−35.2958	+	30.5840i	−1.46684	+	1.27103i
$580$	−3.82198	+	2.45624i	−0.158699	+	0.101990i
$581$	20.5351	−	34.6373i	0.851938	−	1.43700i
$582$	28.9558	+	4.16321i	1.20025	+	0.172571i
$583$	−5.78537	+	1.69874i	−0.239605	+	0.0703545i
$584$	0.394860	−	0.614414i	0.0163394	−	0.0254246i
$585$	−71.3743	+	10.2621i	−2.95097	+	0.424285i
$586$	−7.96984	−	17.4515i	−0.329231	−	0.720915i
$587$	−14.6047	+	6.66972i	−0.602799	+	0.275289i	−0.693348	−	0.720603i	$-0.743865\pi$
$587$	−14.6047	+	6.66972i	−0.602799	+	0.275289i	0.0905492	+	0.995892i	$0.471138\pi$
$588$	−16.5856	+	9.07134i	−0.683980	+	0.374096i
$589$	4.78277	−	7.44213i	0.197071	−	0.306648i
$590$	5.08480	+	17.3172i	0.209338	+	0.712939i
$591$	−18.0156	−	2.59025i	−0.741061	−	0.106549i
$592$	4.61073	+	3.99522i	0.189500	+	0.164203i
$593$	−10.1540	−	15.7999i	−0.416975	−	0.648825i	0.567698	−	0.823237i	$-0.307834\pi$
$593$	−10.1540	−	15.7999i	−0.416975	−	0.648825i	−0.984673	+	0.174411i	$0.944198\pi$
$594$	−2.27223	−	2.62230i	−0.0932308	−	0.107594i
$595$	−62.5213	−	6.69986i	−2.56312	−	0.274667i
$596$	−7.37675	−	3.36885i	−0.302163	−	0.137993i
$597$		−	20.9350i		−	0.856814i
$598$	20.5964	−	14.0341i	0.842251	−	0.573898i
$599$	−48.0943			−1.96508			−0.982539	−	0.186056i	$-0.940430\pi$
$599$	−48.0943			−1.96508			−0.982539	+	0.186056i	$0.940430\pi$
$600$	−13.3757	−	6.10847i	−0.546060	−	0.249377i
$601$	−8.12604	+	27.6748i	−0.331468	+	1.12888i	0.610176	+	0.792266i	$0.291099\pi$
$601$	−8.12604	+	27.6748i	−0.331468	+	1.12888i	−0.941644	+	0.336611i	$0.890719\pi$
$602$	16.5982	−	20.6116i	0.676490	−	0.840068i
$603$	13.1076	+	20.3958i	0.533782	+	0.830581i
$604$	−3.39873	+	3.92235i	−0.138293	+	0.159598i
$605$	−4.60543	+	32.0315i	−0.187237	+	1.30226i
$606$	35.1615	−	10.3243i	1.42834	−	0.419398i
$607$	−18.4193	+	28.6609i	−0.747614	+	1.16331i	0.233963	+	0.972245i	$0.424831\pi$
$607$	−18.4193	+	28.6609i	−0.747614	+	1.16331i	−0.981577	+	0.191065i	$0.938806\pi$
$608$	0.260065	+	1.80879i	0.0105470	+	0.0733563i
$609$	−8.24864	+	5.73136i	−0.334252	+	0.232247i
$610$	−4.50154	−	9.85700i	−0.182262	−	0.399098i
$611$	5.39699	+	37.5369i	0.218339	+	1.51858i
$612$	−26.5598	−	17.0690i	−1.07362	−	0.689972i
$613$	−9.96632	−	33.9422i	−0.402536	−	1.37091i	−0.872667	−	0.488315i	$-0.837612\pi$
$613$	−9.96632	−	33.9422i	−0.402536	−	1.37091i	0.470132	−	0.882596i	$-0.344206\pi$
$614$	−27.3225	−	3.92838i	−1.10265	−	0.158536i
$615$	60.2309	−	69.5102i	2.42874	−	2.80292i
$616$	−1.79169	−	1.92308i	−0.0721892	−	0.0774830i
$617$	−28.6459	+	24.8218i	−1.15324	+	0.999289i	−0.153302	+	0.988179i	$0.548991\pi$
$617$	−28.6459	+	24.8218i	−1.15324	+	0.999289i	−0.999938	+	0.0111095i	$0.996464\pi$
$618$	6.22358	−	21.1956i	0.250349	−	0.852611i
$619$	12.9916	−	28.4476i	0.522176	−	1.14341i	−0.446433	−	0.894817i	$-0.647306\pi$
$619$	12.9916	−	28.4476i	0.522176	−	1.14341i	0.968609	−	0.248589i	$-0.0799669\pi$
$620$			15.6455i			0.628339i
$621$	16.7445	−	0.450955i	0.671932	−	0.0180962i
$622$		−	18.1695i		−	0.728531i
$623$	5.90269	−	23.1599i	0.236486	−	0.927883i
$624$	−13.4662	−	3.95404i	−0.539080	−	0.158288i
$625$	14.7852	+	17.0631i	0.591410	+	0.682523i
$626$	−5.34781	+	3.43683i	−0.213741	+	0.137363i
$627$	−3.21057	+	3.70520i	−0.128218	+	0.147971i
$628$	2.35506	−	16.3798i	0.0939772	−	0.653625i
$629$	12.6397	+	43.0468i	0.503977	+	1.71639i
$630$	−33.9211	−	14.0369i	−1.35145	−	0.559242i
$631$	−2.43880	+	0.350647i	−0.0970872	+	0.0139590i	−0.190687	−	0.981651i	$-0.561072\pi$
$631$	−2.43880	+	0.350647i	−0.0970872	+	0.0139590i	0.0936000	+	0.995610i	$0.470163\pi$
$632$	0.274167	−	0.125208i	0.0109058	−	0.00498050i
$633$	3.36500	−	1.53674i	0.133747	−	0.0610801i
$634$	−1.29252	−	8.98967i	−0.0513325	−	0.357026i
$635$	21.1799	+	13.6115i	0.840498	+	0.540156i
$636$	−15.7273	+	4.61795i	−0.623628	+	0.183114i
$637$	−35.5413	+	7.75730i	−1.40820	+	0.307355i
$638$	−1.05542	−	0.914529i	−0.0417846	−	0.0362066i
$639$	−0.888472	+	0.570986i	−0.0351474	+	0.0225879i
$640$	−2.11641	−	2.44247i	−0.0836586	−	0.0965472i
$641$	−5.57616	+	18.9907i	−0.220245	+	0.750086i	0.773036	+	0.634362i	$0.218737\pi$
$641$	−5.57616	+	18.9907i	−0.220245	+	0.750086i	−0.993281	+	0.115724i	$0.963081\pi$
$642$	−5.85861	+	12.8286i	−0.231221	+	0.506303i
$643$	−20.1026			−0.792770			−0.396385	−	0.918084i	$-0.629735\pi$
$643$	−20.1026			−0.792770			−0.396385	+	0.918084i	$0.629735\pi$
$644$	12.6634	−	0.798483i	0.499009	−	0.0314646i
$645$	87.3010			3.43747
$646$	−5.58240	+	12.2237i	−0.219637	+	0.480937i
$647$	−6.50475	+	22.1531i	−0.255728	+	0.870930i	0.727120	+	0.686511i	$0.240858\pi$
$647$	−6.50475	+	22.1531i	−0.255728	+	0.870930i	−0.982848	+	0.184419i	$0.940960\pi$
$648$	2.25758	+	2.60539i	0.0886862	+	0.102349i
$649$	−4.66714	+	2.99939i	−0.183201	+	0.117736i
$650$	−21.3849	−	18.5301i	−0.838785	−	0.726812i
$651$	1.24655	+	34.5675i	0.0488561	+	1.35481i
$652$	6.90800	−	2.02837i	0.270538	−	0.0794371i
$653$	−14.9853	−	9.63044i	−0.586418	−	0.376868i	0.213531	−	0.976936i	$-0.431504\pi$
$653$	−14.9853	−	9.63044i	−0.586418	−	0.376868i	−0.799949	+	0.600068i	$0.795140\pi$
$654$	3.82750	+	26.6208i	0.149667	+	1.04096i
$655$	25.5991	−	11.6907i	1.00024	−	0.456794i
$656$	9.58566	−	4.37763i	0.374257	−	0.170918i
$657$	3.10372	−	0.446248i	0.121088	−	0.0174098i
$658$	−7.38221	+	17.8397i	−0.287788	+	0.695463i
$659$	10.6885	+	36.4016i	0.416363	+	1.41800i	0.854667	+	0.519176i	$0.173761\pi$
$659$	10.6885	+	36.4016i	0.416363	+	1.41800i	−0.438304	+	0.898827i	$0.644421\pi$
$660$	1.23397	−	8.58242i	0.0480321	−	0.334070i
$661$	−15.7756	+	18.2060i	−0.613600	+	0.708132i	−0.974479	−	0.224481i	$-0.927931\pi$
$661$	−15.7756	+	18.2060i	−0.613600	+	0.708132i	0.360879	+	0.932613i	$0.382477\pi$
$662$	20.7974	−	13.3657i	0.808313	−	0.519471i
$663$	−67.5864	−	77.9988i	−2.62484	−	3.02922i
$664$	14.6030	+	4.28783i	0.566706	+	0.166400i
$665$	−3.85904	+	15.1414i	−0.149647	+	0.587160i
$666$			26.1929i			1.01496i
$667$	6.64489	−	1.13876i	0.257291	−	0.0440929i
$668$			19.8751i			0.768991i
$669$	−9.10292	+	19.9326i	−0.351939	+	0.770639i
$670$	−5.14174	+	17.5112i	−0.198643	+	0.676515i
$671$	2.51735	−	2.18130i	0.0971814	−	0.0842082i
$672$	−4.87064	−	5.22781i	−0.187889	−	0.201667i
$673$	−24.9473	+	28.7907i	−0.961646	+	1.10980i	0.0322503	+	0.999480i	$0.489733\pi$
$673$	−24.9473	+	28.7907i	−0.961646	+	1.10980i	−0.993896	+	0.110319i	$0.964813\pi$
$674$	−32.0169	−	4.60334i	−1.23325	−	0.177314i
$675$	−5.35784	−	18.2471i	−0.206223	−	0.702333i
$676$	−11.7838	−	7.57297i	−0.453222	−	0.291268i
$677$	−4.29186	−	29.8505i	−0.164950	−	1.14725i	−0.889135	−	0.457644i	$-0.848693\pi$
$677$	−4.29186	−	29.8505i	−0.164950	−	1.14725i	0.724186	−	0.689605i	$-0.242216\pi$
$678$	17.9808	+	39.3725i	0.690549	+	1.51209i
$679$	16.3532	+	23.5356i	0.627577	+	0.903215i
$680$	−3.38227	−	23.5242i	−0.129704	−	0.902112i
$681$	−27.6459	+	43.0178i	−1.05939	+	1.64845i
$682$	−4.61444	+	1.35492i	−0.176696	+	0.0518826i
$683$	0.0548993	−	0.381833i	0.00210066	−	0.0146104i	−0.988744	−	0.149616i	$-0.952196\pi$
$683$	0.0548993	−	0.381833i	0.00210066	−	0.0146104i	0.990845	+	0.135006i	$0.0431053\pi$
$684$	−5.13776	+	5.92929i	−0.196447	+	0.226712i
$685$	−14.8782	−	23.1510i	−0.568469	−	0.884554i
$686$	−17.5786	−	5.83046i	−0.671153	−	0.222608i
$687$	4.75944	−	16.2092i	0.181584	−	0.618418i
$688$	9.09852	+	4.15515i	0.346878	+	0.158414i
$689$	−31.5422			−1.20166
$690$	28.2528	+	30.8847i	1.07557	+	1.17576i
$691$		−	34.8820i		−	1.32697i	−0.748187	−	0.663487i	$-0.769076\pi$
$691$		−	34.8820i		−	1.32697i	0.748187	−	0.663487i	$-0.230924\pi$
$692$	13.3402	+	6.09228i	0.507120	+	0.231594i
$693$	1.20237	−	11.2202i	0.0456743	−	0.426220i
$694$	12.2186	+	14.1010i	0.463810	+	0.535265i
$695$	−2.05555	−	3.19849i	−0.0779713	−	0.121326i
$696$	−2.86913	−	2.48611i	−0.108754	−	0.0942359i
$697$	76.7043	+	11.0284i	2.90538	+	0.417731i
$698$	0.737211	+	2.51071i	0.0279039	+	0.0950318i
$699$	31.6591	−	49.2625i	1.19746	−	1.86328i
$700$	−4.55407	−	13.6670i	−0.172128	−	0.516565i
$701$	−9.86090	+	4.50332i	−0.372441	+	0.170088i	−0.592837	−	0.805322i	$-0.701992\pi$
$701$	−9.86090	+	4.50332i	−0.372441	+	0.170088i	0.220396	+	0.975410i	$0.429265\pi$
$702$	−7.54029	−	16.5109i	−0.284590	−	0.623165i
$703$	11.0352	−	1.58663i	0.416202	−	0.0598408i
$704$	0.537091	−	0.835730i	0.0202424	−	0.0314978i
$705$	−61.1105	+	17.9437i	−2.30156	+	0.675798i
$706$	−16.4292	−	2.36216i	−0.618322	−	0.0889012i
$707$	30.8821	+	18.3088i	1.16144	+	0.688572i
$708$	−12.6874	+	8.15373i	−0.476823	+	0.306436i
$709$	−3.15018	+	2.72965i	−0.118308	+	0.102514i	−0.712005	−	0.702174i	$-0.752213\pi$
$709$	−3.15018	+	2.72965i	−0.118308	+	0.102514i	0.593698	+	0.804688i	$0.297667\pi$
$710$	−0.762813	−	0.223982i	−0.0286279	−	0.00840590i
$711$	1.17708	+	0.537556i	0.0441440	+	0.0201599i
$712$	9.03346			0.338543
$713$	9.07255	−	21.3707i	0.339770	−	0.800340i
$714$	−9.34712	−	51.7053i	−0.349807	−	1.93502i
$715$	6.93129	−	15.1774i	0.259216	−	0.567603i
$716$	23.1384	+	6.79404i	0.864721	+	0.253905i
$717$	26.0361	−	22.5604i	0.972337	−	0.842534i
$718$	−5.75154	−	8.94957i	−0.214645	−	0.333995i
$719$	−11.2532	−	9.75099i	−0.419675	−	0.363651i	0.419275	−	0.907859i	$-0.362284\pi$
$719$	−11.2532	−	9.75099i	−0.419675	−	0.363651i	−0.838950	+	0.544209i	$0.816830\pi$
$720$	1.97467	−	13.7341i	0.0735915	−	0.511840i
$721$	19.3491	−	9.69386i	0.720600	−	0.361018i
$722$	−13.1746	−	8.46678i	−0.490306	−	0.315101i
$723$	−53.3021	+	7.66368i	−1.98232	+	0.285015i
$724$	1.21144	+	2.65269i	0.0450229	+	0.0985863i
$725$	−3.17966	−	6.96248i	−0.118089	−	0.258580i
$726$	−26.7662	+	3.84840i	−0.993388	+	0.142828i
$727$	29.7705	+	19.1324i	1.10413	+	0.709580i	0.960006	−	0.279980i	$-0.0903279\pi$
$727$	29.7705	+	19.1324i	1.10413	+	0.709580i	0.144122	+	0.989560i	$0.453964\pi$
$728$	−6.15881	−	12.2931i	−0.228261	−	0.455613i
$729$	−6.13354	+	42.6597i	−0.227168	+	1.57999i
$730$	1.78387	+	1.54573i	0.0660241	+	0.0572102i
$731$	39.7668	+	61.8783i	1.47083	+	2.28865i
$732$	6.84333	−	5.92978i	0.252937	−	0.219171i
$733$	46.4594	+	13.6417i	1.71602	+	0.503868i	0.984113	−	0.177542i	$-0.0568146\pi$
$733$	46.4594	+	13.6417i	1.71602	+	0.503868i	0.731902	+	0.681410i	$0.238633\pi$
$734$	−11.5479	+	25.2863i	−0.426240	+	0.933335i
$735$	−21.3904	−	57.2290i	−0.788997	−	2.11092i
$736$	1.47453	+	4.56352i	0.0543521	+	0.168214i
$737$	−5.60997			−0.206646
$738$	41.1542	+	18.7945i	1.51491	+	0.691835i
$739$	−17.1623	−	5.03929i	−0.631324	−	0.185373i	−0.0496123	−	0.998769i	$-0.515799\pi$
$739$	−17.1623	−	5.03929i	−0.631324	−	0.185373i	−0.581712	+	0.813395i	$0.697617\pi$
$740$	−14.9012	+	12.9120i	−0.547780	+	0.474654i
$741$	−21.5756	+	13.8658i	−0.792600	+	0.509373i
$742$	−13.8132	−	8.18928i	−0.507098	−	0.300638i
$743$	24.6550	+	3.54485i	0.904503	+	0.130048i	0.578843	−	0.815439i	$-0.303504\pi$
$743$	24.6550	+	3.54485i	0.904503	+	0.130048i	0.325660	+	0.945487i	$0.394414\pi$
$744$	−12.5442	+	3.68330i	−0.459892	+	0.135036i
$745$	14.1697	−	22.0484i	0.519137	−	0.807792i
$746$	−11.7071	+	1.68323i	−0.428628	+	0.0616274i
$747$	27.1440	+	59.4372i	0.993149	+	2.17469i
$748$	6.64525	−	3.03478i	0.242974	−	0.110963i
$749$	−13.1080	+	4.36779i	−0.478955	+	0.159596i
$750$	2.09925	−	3.26650i	0.0766539	−	0.119276i
$751$	−10.5907	−	36.0687i	−0.386462	−	1.31617i	−0.891481	−	0.453059i	$-0.850333\pi$
$751$	−10.5907	−	36.0687i	−0.386462	−	1.31617i	0.505019	−	0.863108i	$-0.331485\pi$
$752$	−7.22299	−	1.03851i	−0.263395	−	0.0378705i
$753$	−46.4451	−	40.2449i	−1.69255	−	1.46660i
$754$	−3.94966	−	6.14579i	−0.143838	−	0.223817i
$755$	−10.9842	−	12.6765i	−0.399756	−	0.461343i
$756$	0.984628	−	9.18828i	0.0358106	−	0.334175i
$757$	0.876001	+	0.400056i	0.0318388	+	0.0145403i	0.431271	−	0.902223i	$-0.358065\pi$
$757$	0.876001	+	0.400056i	0.0318388	+	0.0145403i	−0.399432	+	0.916763i	$0.630793\pi$
$758$		−	7.89403i		−	0.286724i
$759$	−6.66231	+	11.0075i	−0.241826	+	0.399545i
$760$	−5.90587			−0.214229
$761$	−10.9260	−	4.98973i	−0.396066	−	0.180878i	0.207418	−	0.978252i	$-0.433494\pi$
$761$	−10.9260	−	4.98973i	−0.396066	−	0.180878i	−0.603484	+	0.797375i	$0.706221\pi$
$762$	−5.92713	+	20.1860i	−0.214717	+	0.731260i
$763$	−16.5256	+	20.5216i	−0.598267	+	0.742930i
$764$	2.91306	+	4.53281i	0.105391	+	0.163991i
$765$	66.8189	−	77.1131i	2.41584	−	2.78803i
$766$	3.69413	−	25.6933i	0.133474	−	0.928335i
$767$	−27.8463	+	8.17642i	−1.00547	+	0.295234i
$768$	1.46006	−	2.27190i	0.0526854	−	0.0819801i
$769$	−2.00240	−	13.9270i	−0.0722082	−	0.502219i	−0.993544	−	0.113451i	$-0.963810\pi$
$769$	−2.00240	−	13.9270i	−0.0722082	−	0.502219i	0.921335	−	0.388769i	$-0.127099\pi$
$770$	6.97591	−	4.84704i	0.251394	−	0.174675i
$771$	−21.8627	−	47.8726i	−0.787366	−	1.72409i
$772$	−2.46112	−	17.1175i	−0.0885777	−	0.616071i
$773$	−4.12883	−	2.65344i	−0.148504	−	0.0954374i	0.464279	−	0.885689i	$-0.346313\pi$
$773$	−4.12883	−	2.65344i	−0.148504	−	0.0954374i	−0.612783	+	0.790252i	$0.709950\pi$
$774$	12.0986	+	41.2040i	0.434874	+	1.48105i
$775$	−26.0906	−	3.75126i	−0.937200	−	0.134749i
$776$	−7.09357	+	8.18641i	−0.254644	+	0.293875i
$777$	−31.8942	+	29.7152i	−1.14420	+	1.06603i
$778$	16.6360	−	14.4152i	0.596431	−	0.516811i
$779$	5.42533	−	18.4770i	0.194382	−	0.662006i
$780$	18.8425	−	41.2592i	0.674668	−	1.47732i
$781$		−	0.244379i		−	0.00874456i
$782$	−9.02130	+	34.0938i	−0.322601	+	1.21919i
$783$		−	4.90992i		−	0.175466i
$784$	0.494545	−	6.98251i	0.0176623	−	0.249375i
$785$	51.3151	+	15.0675i	1.83152	+	0.537781i
$786$	15.3999	+	17.7725i	0.549297	+	0.633923i
$787$	0.992341	−	0.637739i	0.0353731	−	0.0227329i	−0.522835	−	0.852434i	$-0.675126\pi$
$787$	0.992341	−	0.637739i	0.0353731	−	0.0227329i	0.558208	+	0.829701i	$0.311489\pi$
$788$	4.41344	−	5.09339i	0.157222	−	0.181444i
$789$	−5.82323	+	40.5015i	−0.207312	+	1.44189i
$790$	0.274434	+	0.934636i	0.00976392	+	0.0332529i
$791$	−16.2140	+	39.1824i	−0.576504	+	1.39317i
$792$	4.22171	−	0.606990i	0.150012	−	0.0215684i
$793$	15.8502	−	7.23854i	0.562857	−	0.257048i
$794$	5.22380	−	2.38563i	0.185386	−	0.0846628i
$795$	−7.53901	−	52.4349i	−0.267381	−	1.85968i
$796$	6.52137	+	4.19103i	0.231144	+	0.148547i
$797$	−6.71668	+	1.97220i	−0.237917	+	0.0698587i	−0.398517	−	0.917161i	$-0.630475\pi$
$797$	−6.71668	+	1.97220i	−0.237917	+	0.0698587i	0.160600	+	0.987020i	$0.448657\pi$
$798$	−13.0485	+	0.470548i	−0.461913	+	0.0166572i
$799$	−40.5550	−	35.1411i	−1.43473	−	1.24320i
$800$	4.58052	−	2.94372i	0.161946	−	0.104076i
$801$	25.3978	+	29.3106i	0.897386	+	1.03564i
$802$	6.66536	−	22.7001i	0.235362	−	0.801569i
$803$	−0.301408	+	0.659992i	−0.0106365	+	0.0232906i
$804$	−15.2505			−0.537843
$805$	−3.27011	+	40.8770i	−0.115256	+	1.44073i
$806$	−25.1582			−0.886160
$807$	1.23140	−	2.69639i	0.0433474	−	0.0949176i
$808$	−3.82297	+	13.0198i	−0.134491	+	0.458036i
$809$	−32.5052	−	37.5130i	−1.14282	−	1.31889i	−0.940588	−	0.339550i	$-0.889725\pi$
$809$	−32.5052	−	37.5130i	−1.14282	−	1.31889i	−0.202235	−	0.979337i	$-0.564820\pi$
$810$	−9.37289	+	6.02359i	−0.329330	+	0.211647i
$811$	−30.9573	−	26.8246i	−1.08706	−	0.941941i	−0.0885237	−	0.996074i	$-0.528215\pi$
$811$	−30.9573	−	26.8246i	−1.08706	−	0.941941i	−0.998534	+	0.0541335i	$0.982760\pi$
$812$	−0.134035	−	3.71686i	−0.00470371	−	0.130436i
$813$	−0.659942	+	0.193777i	−0.0231452	+	0.00679604i
$814$	−5.09868	−	3.27673i	−0.178709	−	0.114849i
$815$	3.31140	+	23.0313i	0.115993	+	0.806752i
$816$	18.0649	−	8.24994i	0.632396	−	0.288806i
$817$	16.6266	−	7.59311i	0.581691	−	0.265649i
$818$	20.1440	−	2.89626i	0.704317	−	0.101266i
$819$	22.5714	−	54.5456i	0.788710	−	1.90598i
$820$	9.59501	+	32.6776i	0.335072	+	1.14115i
$821$	−2.26883	+	15.7800i	−0.0791825	+	0.550727i	0.911157	+	0.412060i	$0.135191\pi$
$821$	−2.26883	+	15.7800i	−0.0791825	+	0.550727i	−0.990339	+	0.138666i	$0.955718\pi$
$822$	15.0592	−	17.3793i	0.525251	−	0.606171i
$823$	16.8290	−	10.8153i	0.586621	−	0.376999i	−0.213405	−	0.976964i	$-0.568455\pi$
$823$	16.8290	−	10.8153i	0.586621	−	0.376999i	0.800026	+	0.599965i	$0.204819\pi$
$824$	5.35661	+	6.18186i	0.186606	+	0.215355i
$825$	14.0162	+	4.11554i	0.487983	+	0.143285i
$826$	−14.3175	−	3.64906i	−0.498170	−	0.126967i
$827$			1.98916i			0.0691697i	0.999402	+	0.0345849i	$0.0110109\pi$
$827$			1.98916i			0.0691697i	−0.999402	+	0.0345849i	$0.988989\pi$
$828$	−10.6614	+	17.6148i	−0.370510	+	0.612157i
$829$		−	18.1157i		−	0.629186i	−0.949227	−	0.314593i	$-0.898132\pi$
$829$		−	18.1157i		−	0.629186i	0.949227	−	0.314593i	$-0.101868\pi$
$830$	−20.4331	+	44.7422i	−0.709243	+	1.55303i
$831$	5.68169	−	19.3501i	0.197096	−	0.671246i
$832$	3.92753	−	3.40322i	0.136163	−	0.117986i
$833$	30.8199	−	41.2300i	1.06785	−	1.42853i
$834$	2.08055	−	2.40108i	0.0720435	−	0.0831427i
$835$	−63.5797	−	9.14138i	−2.20026	−	0.316350i
$836$	−0.511456	−	1.74186i	−0.0176891	−	0.0602435i
$837$	−14.2243	−	9.14138i	−0.491662	−	0.315972i
$838$	3.43382	+	23.8828i	0.118619	+	0.825016i
$839$	2.17275	+	4.75766i	0.0750117	+	0.164253i	0.943423	−	0.331592i	$-0.107586\pi$
$839$	2.17275	+	4.75766i	0.0750117	+	0.164253i	−0.868411	+	0.495845i	$0.834858\pi$
$840$	18.9638	−	13.1765i	0.654312	−	0.454632i
$841$	3.84590	+	26.7488i	0.132617	+	0.922372i
$842$	1.82464	−	2.83919i	0.0628811	−	0.0978449i
$843$	−32.3958	+	9.51225i	−1.11577	+	0.327619i
$844$	−0.194943	+	1.35586i	−0.00671021	+	0.0466705i
$845$	29.6455	−	34.2127i	1.01983	−	1.17695i
$846$	−16.9380	−	26.3560i	−0.582339	−	0.906137i
$847$	−20.6336	−	16.6159i	−0.708980	−	0.570928i
$848$	1.70996	−	5.82360i	0.0587204	−	0.199983i
$849$	−15.3100	−	6.99184i	−0.525438	−	0.239959i
$850$	40.0401			1.37336
$851$	27.8415	−	8.99596i	0.954394	−	0.308377i
$852$		−	0.664335i		−	0.0227597i
$853$	−26.6858	−	12.1870i	−0.913704	−	0.417275i	−0.0976307	−	0.995223i	$-0.531126\pi$
$853$	−26.6858	−	12.1870i	−0.913704	−	0.417275i	−0.816074	+	0.577948i	$0.803854\pi$
$854$	8.82058	+	0.945225i	0.301834	+	0.0323449i
$855$	−16.6045	−	19.1626i	−0.567861	−	0.655347i
$856$	−2.82331	−	4.39316i	−0.0964989	−	0.150155i
$857$	22.5417	+	19.5325i	0.770011	+	0.667219i	0.948519	−	0.316720i	$-0.102582\pi$
$857$	22.5417	+	19.5325i	0.770011	+	0.667219i	−0.178508	+	0.983939i	$0.557127\pi$
$858$	13.8007	+	1.98423i	0.471146	+	0.0677406i
$859$	10.5949	+	36.0831i	0.361495	+	1.23114i	0.916751	+	0.399459i	$0.130802\pi$
$859$	10.5949	+	36.0831i	0.361495	+	1.23114i	−0.555256	+	0.831679i	$0.687380\pi$
$860$	−17.4769	+	27.1947i	−0.595959	+	0.927330i
$861$	23.8029	+	71.4339i	0.811202	+	2.43446i
$862$	−6.74026	+	3.07817i	−0.229574	+	0.104843i
$863$	18.7520	+	41.0611i	0.638325	+	1.39774i	0.901411	+	0.432965i	$0.142533\pi$
$863$	18.7520	+	41.0611i	0.638325	+	1.39774i	−0.263085	+	0.964773i	$0.584740\pi$
$864$	3.45718	−	0.497067i	0.117616	−	0.0169106i
$865$	−25.6247	+	39.8728i	−0.871265	+	1.35571i
$866$	34.7304	−	10.1978i	1.18019	−	0.346534i
$867$	99.1115	+	14.2501i	3.36600	+	0.483958i
$868$	−11.0175	−	6.53182i	−0.373957	−	0.221704i
$869$	−0.251892	+	0.161881i	−0.00854486	+	0.00549145i
$870$	9.27260	−	8.03476i	0.314371	−	0.272404i
$871$	−28.1582	−	8.26799i	−0.954104	−	0.280150i
$872$	−9.05875	−	4.13699i	−0.306768	−	0.140096i
$873$	−46.5059			−1.57399
$874$	8.06703	+	3.42471i	0.272871	+	0.115842i
$875$	3.74335	−	0.676711i	0.126548	−	0.0228770i
$876$	−0.819367	+	1.79416i	−0.0276839	+	0.0606192i
$877$	−2.17350	−	0.638196i	−0.0733938	−	0.0215504i	0.244830	−	0.969566i	$-0.421268\pi$
$877$	−2.17350	−	0.638196i	−0.0733938	−	0.0215504i	−0.318223	+	0.948016i	$0.603086\pi$
$878$	−11.3943	+	9.87325i	−0.384540	+	0.333206i
$879$	28.0116	+	43.5869i	0.944809	+	1.47015i
$880$	2.42643	+	2.10252i	0.0817951	+	0.0708759i
$881$	1.10985	−	7.71921i	0.0373920	−	0.260067i	−0.962547	−	0.271115i	$-0.912608\pi$
$881$	1.10985	−	7.71921i	0.0373920	−	0.260067i	0.999939	+	0.0110481i	$0.00351678\pi$
$882$	24.0463	−	18.0268i	0.809682	−	0.606995i
$883$	10.0917	+	6.48556i	0.339614	+	0.218256i	0.699319	−	0.714809i	$-0.253487\pi$
$883$	10.0917	+	6.48556i	0.339614	+	0.218256i	−0.359706	+	0.933066i	$0.617123\pi$
$884$	37.8272	−	5.43874i	1.27227	−	0.182924i
$885$	−20.2480	−	44.3368i	−0.680628	−	1.49037i
$886$	7.13928	+	15.6328i	0.239849	+	0.525195i
$887$	6.46984	−	0.930223i	0.217236	−	0.0312338i	−0.0328373	−	0.999461i	$-0.510454\pi$
$887$	6.46984	−	0.930223i	0.217236	−	0.0312338i	0.250073	+	0.968227i	$0.419545\pi$
$888$	−13.8606	−	8.90765i	−0.465131	−	0.298921i
$889$	−18.4275	+	9.23211i	−0.618038	+	0.309635i
$890$	−4.15486	+	28.8977i	−0.139271	+	0.968652i
$891$	−2.58828	−	2.24276i	−0.0867107	−	0.0751353i
$892$	−4.38677	−	6.82595i	−0.146880	−	0.228550i
$893$	−10.0779	+	8.73256i	−0.337244	+	0.292224i
$894$	21.0137	+	6.17019i	0.702805	+	0.206362i
$895$	−32.3761	+	70.8938i	−1.08221	+	2.36972i
$896$	2.60355	−	0.470662i	0.0869785	−	0.0157237i
$897$	−49.6630	+	45.4309i	−1.65820	+	1.51690i
$898$	−8.57392			−0.286116
$899$	−6.19033	−	2.82703i	−0.206459	−	0.0942867i
$900$	22.4296	+	6.58594i	0.747654	+	0.219531i
$901$	33.7314	−	29.2284i	1.12376	−	0.973740i
$902$	−8.80689	+	5.65984i	−0.293237	+	0.188452i
$903$	−36.4471	+	61.4768i	−1.21288	+	2.04582i
$904$	−15.8643	−	2.28095i	−0.527640	−	0.0758632i
$905$	−9.04302	+	2.65527i	−0.300600	+	0.0882642i
$906$	7.57773	−	11.7912i	0.251753	−	0.391736i
$907$	16.1818	−	2.32659i	0.537306	−	0.0772530i	0.131681	−	0.991292i	$-0.457963\pi$
$907$	16.1818	−	2.32659i	0.537306	−	0.0772530i	0.405626	+	0.914039i	$0.367054\pi$
$908$	−7.86577	−	17.2236i	−0.261035	−	0.571586i
$909$	−52.9933	+	24.2012i	−1.75768	+	0.802705i
$910$	42.1579	−	14.0477i	1.39752	−	0.465676i
$911$	−3.63228	+	5.65193i	−0.120343	+	0.187257i	−0.896198	−	0.443654i	$-0.853682\pi$
$911$	−3.63228	+	5.65193i	−0.120343	+	0.187257i	0.775856	+	0.630910i	$0.217318\pi$
$912$	−1.39037	−	4.73518i	−0.0460399	−	0.156797i
$913$	−14.9657	−	2.15174i	−0.495291	−	0.0712122i
$914$	10.8063	+	9.36368i	0.357439	+	0.309723i
$915$	15.8216	+	24.6189i	0.523046	+	0.813875i
$916$	4.09643	+	4.72753i	0.135350	+	0.156202i
$917$	−2.45479	+	22.9075i	−0.0810644	+	0.756471i
$918$	23.3634	+	10.6697i	0.771108	+	0.352153i
$919$			25.2776i			0.833831i	0.908945	+	0.416915i	$0.136889\pi$
$919$			25.2776i			0.833831i	−0.908945	+	0.416915i	$0.863111\pi$
$920$	−15.2767	+	2.61803i	−0.503659	+	0.0863137i
$921$	74.5462			2.45638
$922$	6.81744	+	3.11342i	0.224520	+	0.102535i
$923$	0.360166	−	1.22661i	0.0118550	−	0.0403745i
$924$	5.52852	+	4.45201i	0.181875	+	0.146460i
$925$	−17.9593	−	27.9452i	−0.590498	−	0.918833i
$926$	26.5329	−	30.6206i	0.871925	−	1.00626i
$927$	−4.99785	+	34.7608i	−0.164151	+	1.14169i
$928$	1.34881	−	0.396047i	0.0442769	−	0.0130009i
$929$	−11.3692	+	17.6908i	−0.373011	+	0.580416i	−0.976117	−	0.217245i	$-0.930293\pi$
$929$	−11.3692	+	17.6908i	−0.373011	+	0.580416i	0.603106	+	0.797661i	$0.293929\pi$
$930$	−6.01316	−	41.8224i	−0.197179	−	1.37141i
$931$	−9.05140	−	9.03888i	−0.296648	−	0.296237i
$932$	9.00761	+	19.7239i	0.295054	+	0.646078i
$933$	6.98322	+	48.5693i	0.228620	+	1.59009i
$934$	7.10384	+	4.56536i	0.232445	+	0.149383i
$935$	6.65172	+	22.6537i	0.217535	+	0.740855i
$936$	22.0846	+	3.17529i	0.721859	+	0.103788i
$937$	35.0587	−	40.4599i	1.14532	−	1.32177i	0.206066	−	0.978538i	$-0.433934\pi$
$937$	35.0587	−	40.4599i	1.14532	−	1.32177i	0.939252	−	0.343229i	$-0.111521\pi$
$938$	−10.1846	−	10.9315i	−0.332540	−	0.356926i
$939$	12.9745	−	11.2424i	0.423405	−	0.366883i
$940$	6.64430	−	22.6284i	0.216713	−	0.738057i
$941$	3.45401	−	7.56324i	0.112598	−	0.246554i	−0.844941	−	0.534860i	$-0.820364\pi$
$941$	3.45401	−	7.56324i	0.112598	−	0.246554i	0.957539	+	0.288305i	$0.0930918\pi$
$942$			44.6904i			1.45609i
$943$	5.84300	−	50.1994i	0.190274	−	1.63472i
$944$		−	5.58451i		−	0.181760i
$945$	28.9401	+	7.37585i	0.941420	+	0.239936i
$946$	−9.53423	−	2.79950i	−0.309985	−	0.0910197i
$947$	0.373441	+	0.430974i	0.0121352	+	0.0140048i	0.761785	−	0.647830i	$-0.224323\pi$
$947$	0.373441	+	0.430974i	0.0121352	+	0.0140048i	−0.749650	+	0.661835i	$0.769778\pi$
$948$	−0.684760	+	0.440068i	−0.0222400	+	0.0142928i
$949$	−2.48556	+	2.86849i	−0.0806847	+	0.0931152i
$950$	1.41602	−	9.84867i	0.0459419	−	0.319533i
$951$	6.91013	+	23.5337i	0.224076	+	0.763134i
$952$	17.9777	+	7.43930i	0.582659	+	0.241109i
$953$	−27.6973	+	3.98227i	−0.897203	+	0.128998i	−0.575461	−	0.817829i	$-0.695177\pi$
$953$	−27.6973	+	3.98227i	−0.897203	+	0.128998i	−0.321742	+	0.946827i	$0.604268\pi$
$954$	23.7032	−	10.8249i	0.767421	−	0.350469i
$955$	−15.8401	+	7.23393i	−0.512573	+	0.234084i
$956$	1.81546	+	12.6268i	0.0587161	+	0.408379i
$957$	3.17277	+	2.03901i	0.102561	+	0.0659119i
$958$	−3.22825	+	0.947900i	−0.104300	+	0.0306253i
$959$	22.5143	−	0.811896i	0.727024	−	0.0262175i
$960$	6.59617	+	5.71562i	0.212891	+	0.184471i
$961$	6.36356	−	4.08961i	0.205276	−	0.131923i
$962$	−20.7626	−	23.9614i	−0.669414	−	0.772545i
$963$	6.31654	−	21.5122i	0.203548	−	0.693220i
$964$	8.28337	−	18.1380i	0.266789	−	0.584187i
$965$	55.8901			1.79916
$966$	−33.5440	+	7.00147i	−1.07926	+	0.225269i
$967$	−40.0233			−1.28706			−0.643531	−	0.765420i	$-0.722531\pi$
$967$	−40.0233			−1.28706			−0.643531	+	0.765420i	$0.722531\pi$
$968$	4.15959	−	9.10823i	0.133694	−	0.292749i
$969$	10.2244	−	34.8211i	0.328455	−	1.11862i
$970$	−22.9254	−	26.4573i	−0.736089	−	0.849492i
$971$	16.8916	−	10.8556i	0.542077	−	0.348372i	−0.240774	−	0.970581i	$-0.577401\pi$
$971$	16.8916	−	10.8556i	0.542077	−	0.348372i	0.782851	+	0.622210i	$0.213765\pi$
$972$	−14.9550	−	12.9586i	−0.479683	−	0.415647i
$973$	3.11052	−	0.112170i	0.0997188	−	0.00359600i
$974$	0.580084	−	0.170328i	0.0185871	−	0.00545766i
$975$	64.2864	+	41.3143i	2.05881	+	1.32312i
$976$	0.477175	+	3.31883i	0.0152740	+	0.106233i
$977$	1.79860	−	0.821393i	0.0575423	−	0.0262787i	−0.386436	−	0.922316i	$-0.626294\pi$
$977$	1.79860	−	0.821393i	0.0575423	−	0.0262787i	0.443978	+	0.896038i	$0.353567\pi$
$978$	−17.6864	+	8.07709i	−0.565547	+	0.258277i
$979$	−8.88281	+	1.27715i	−0.283896	+	0.0408180i
$980$	22.1093	+	4.79357i	0.706255	+	0.153125i
$981$	−12.0457	−	41.0239i	−0.384589	−	1.30979i
$982$	−1.91928	+	13.3489i	−0.0612466	+	0.425979i
$983$	−7.38602	+	8.52393i	−0.235578	+	0.271871i	−0.861213	−	0.508245i	$-0.830294\pi$
$983$	−7.38602	+	8.52393i	−0.235578	+	0.271871i	0.625635	+	0.780116i	$0.284840\pi$
$984$	−23.9412	+	15.3861i	−0.763217	+	0.490490i
$985$	14.2636	+	16.4611i	0.454476	+	0.524494i
$986$	9.91877	+	2.91241i	0.315878	+	0.0927502i
$987$	12.8771	−	50.5249i	0.409883	−	1.60823i
$988$		−	9.49672i		−	0.302131i
$989$	39.6420	−	27.0115i	1.26054	−	0.858916i
$990$			13.7842i			0.438092i
$991$	−8.85960	+	19.3998i	−0.281434	+	0.616255i	−0.996572	−	0.0827283i	$-0.973637\pi$
$991$	−8.85960	+	19.3998i	−0.281434	+	0.616255i	0.715138	+	0.698983i	$0.246364\pi$
$992$	1.36388	−	4.64494i	0.0433031	−	0.147477i
$993$	−50.4570	+	43.7213i	−1.60121	+	1.38745i
$994$	0.476192	−	0.443658i	0.0151039	−	0.0140720i
$995$	−16.4064	+	18.9340i	−0.520117	+	0.600247i
$996$	−40.6836	−	5.84942i	−1.28911	−	0.185346i
$997$	2.71518	+	9.24705i	0.0859906	+	0.292857i	0.991249	−	0.132004i	$-0.0421412\pi$
$997$	2.71518	+	9.24705i	0.0859906	+	0.292857i	−0.905259	+	0.424861i	$0.860323\pi$
$998$	13.2141	+	8.49221i	0.418286	+	0.268816i
$999$	−3.03254	−	21.0918i	−0.0959454	−	0.667315i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	322.2.k.a.293.1	yes	80
7.6	odd	2	inner	322.2.k.a.293.8	yes	80
23.19	odd	22	inner	322.2.k.a.111.8	yes	80
161.111	even	22	inner	322.2.k.a.111.1	✓	80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
322.2.k.a.111.1	✓	80	161.111	even	22	inner
322.2.k.a.111.8	yes	80	23.19	odd	22	inner
322.2.k.a.293.1	yes	80	1.1	even	1	trivial
322.2.k.a.293.8	yes	80	7.6	odd	2	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:	\( N \)	\(=\)	\( 322 = 2 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	322.k (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.415415 - 0.909632i) q^{2} +(-0.760851 + 2.59122i) q^{3} +(-0.654861 - 0.755750i) q^{4} +(2.71881 - 1.74727i) q^{5} +(2.04099 + 1.76853i) q^{6} +(0.0953475 + 2.64403i) q^{7} +(-0.959493 + 0.281733i) q^{8} +(-3.61176 - 2.32114i) q^{9} +O(q^{10})\)	\(q+(0.415415 - 0.909632i) q^{2} +(-0.760851 + 2.59122i) q^{3} +(-0.654861 - 0.755750i) q^{4} +(2.71881 - 1.74727i) q^{5} +(2.04099 + 1.76853i) q^{6} +(0.0953475 + 2.64403i) q^{7} +(-0.959493 + 0.281733i) q^{8} +(-3.61176 - 2.32114i) q^{9} +(-0.459941 - 3.19896i) q^{10} +(0.903659 - 0.412687i) q^{11} +(2.45656 - 1.12188i) q^{12} +(5.14397 - 0.739591i) q^{13} +(2.44471 + 1.01164i) q^{14} +(2.45896 + 8.37444i) q^{15} +(-0.142315 + 0.989821i) q^{16} +(-4.81565 + 5.55756i) q^{17} +(-3.61176 + 2.32114i) q^{18} +(1.19669 + 1.38105i) q^{19} +(-3.10094 - 0.910518i) q^{20} +(-6.92381 - 1.76465i) q^{21} -0.993434i q^{22} +(3.70768 + 3.04189i) q^{23} -2.70061i q^{24} +(2.26188 - 4.95284i) q^{25} +(1.46413 - 4.98635i) q^{26} +(2.63963 - 2.28725i) q^{27} +(1.93579 - 1.80353i) q^{28} +(0.920574 - 1.06240i) q^{29} +(8.63915 + 1.24212i) q^{30} +(-1.36388 - 4.64494i) q^{31} +(0.841254 + 0.540641i) q^{32} +(0.381814 + 2.65557i) q^{33} +(3.05484 + 6.68917i) q^{34} +(4.87908 + 7.02202i) q^{35} +(0.611002 + 4.24961i) q^{36} +(3.29838 - 5.13238i) q^{37} +(1.75337 - 0.514837i) q^{38} +(-1.99735 + 13.8919i) q^{39} +(-2.11641 + 2.44247i) q^{40} +(-5.69725 - 8.86510i) q^{41} +(-4.48144 + 5.56506i) q^{42} +(2.81801 - 9.59725i) q^{43} +(-0.903659 - 0.412687i) q^{44} -13.8753 q^{45} +(4.30723 - 2.10898i) q^{46} +7.29727i q^{47} +(-2.45656 - 1.12188i) q^{48} +(-6.98182 + 0.504204i) q^{49} +(-3.56564 - 4.11497i) q^{50} +(-10.7369 - 16.7069i) q^{51} +(-3.92753 - 3.40322i) q^{52} +(-6.00768 - 0.863774i) q^{53} +(-0.984015 - 3.35125i) q^{54} +(1.73580 - 2.70096i) q^{55} +(-0.836395 - 2.51007i) q^{56} +(-4.48911 + 2.05011i) q^{57} +(-0.583972 - 1.27872i) q^{58} +(-5.52767 + 0.794758i) q^{59} +(4.71871 - 7.34245i) q^{60} +(3.21714 - 0.944636i) q^{61} +(-4.79176 - 0.688951i) q^{62} +(5.79279 - 9.77093i) q^{63} +(0.841254 - 0.540641i) q^{64} +(12.6932 - 10.9987i) q^{65} +(2.57421 + 0.755855i) q^{66} +(-5.13674 - 2.34587i) q^{67} +7.35371 q^{68} +(-10.7032 + 7.29300i) q^{69} +(8.41430 - 1.52111i) q^{70} +(0.102190 - 0.223764i) q^{71} +(4.11940 + 1.20956i) q^{72} +(-0.551966 + 0.478281i) q^{73} +(-3.29838 - 5.13238i) q^{74} +(11.1129 + 9.62941i) q^{75} +(0.260065 - 1.80879i) q^{76} +(1.17732 + 2.34996i) q^{77} +(11.8068 + 7.58774i) q^{78} +(-0.298336 + 0.0428943i) q^{79} +(1.34256 + 2.93980i) q^{80} +(-1.43211 - 3.13589i) q^{81} +(-10.4307 + 1.49971i) q^{82} +(-12.8035 - 8.22828i) q^{83} +(3.20050 + 6.38827i) q^{84} +(-3.38227 + 23.5242i) q^{85} +(-7.55932 - 6.55019i) q^{86} +(2.05249 + 3.19374i) q^{87} +(-0.750787 + 0.650561i) q^{88} +(-8.66754 - 2.54502i) q^{89} +(-5.76403 + 12.6215i) q^{90} +(2.44597 + 13.5303i) q^{91} +(-0.129113 - 4.79409i) q^{92} +13.0738 q^{93} +(6.63783 + 3.03139i) q^{94} +(5.66664 + 1.66388i) q^{95} +(-2.04099 + 1.76853i) q^{96} +(9.11261 - 5.85632i) q^{97} +(-2.44171 + 6.56034i) q^{98} +(-4.22171 - 0.606990i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q - 8 q^{2} - 8 q^{4} - 11 q^{7} - 8 q^{8} - 6 q^{9}+O(q^{10}) \) 80 * q - 8 * q^2 - 8 * q^4 - 11 * q^7 - 8 * q^8 - 6 * q^9	\( 80 q - 8 q^{2} - 8 q^{4} - 11 q^{7} - 8 q^{8} - 6 q^{9} + 11 q^{14} - 8 q^{16} - 6 q^{18} - 33 q^{21} + 18 q^{23} - 58 q^{25} - 11 q^{28} + 16 q^{29} + 22 q^{30} - 8 q^{32} + 47 q^{35} + 16 q^{36} - 22 q^{37} - 30 q^{39} - 22 q^{42} + 44 q^{43} - 4 q^{46} + 17 q^{49} + 8 q^{50} - 88 q^{51} + 44 q^{53} + 11 q^{56} - 22 q^{57} - 28 q^{58} + 121 q^{63} - 8 q^{64} - 154 q^{65} + 58 q^{70} + 42 q^{71} - 28 q^{72} + 22 q^{74} + 38 q^{77} + 58 q^{78} - 88 q^{79} - 26 q^{81} - 11 q^{84} + 26 q^{85} - 132 q^{86} + 22 q^{88} - 4 q^{92} + 152 q^{93} - 68 q^{95} - 27 q^{98} - 44 q^{99}+O(q^{100}) \) 80 * q - 8 * q^2 - 8 * q^4 - 11 * q^7 - 8 * q^8 - 6 * q^9 + 11 * q^14 - 8 * q^16 - 6 * q^18 - 33 * q^21 + 18 * q^23 - 58 * q^25 - 11 * q^28 + 16 * q^29 + 22 * q^30 - 8 * q^32 + 47 * q^35 + 16 * q^36 - 22 * q^37 - 30 * q^39 - 22 * q^42 + 44 * q^43 - 4 * q^46 + 17 * q^49 + 8 * q^50 - 88 * q^51 + 44 * q^53 + 11 * q^56 - 22 * q^57 - 28 * q^58 + 121 * q^63 - 8 * q^64 - 154 * q^65 + 58 * q^70 + 42 * q^71 - 28 * q^72 + 22 * q^74 + 38 * q^77 + 58 * q^78 - 88 * q^79 - 26 * q^81 - 11 * q^84 + 26 * q^85 - 132 * q^86 + 22 * q^88 - 4 * q^92 + 152 * q^93 - 68 * q^95 - 27 * q^98 - 44 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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