LMFDB - Embedded newform 296.2.bj.a.19.4

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [296,2,Mod(19,296)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(296, base_ring=CyclotomicField(36)) chi = DirichletCharacter(H, H._module([18, 18, 35])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("296.19"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 296 = 2^{3} \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	296.bj (of order $36$, degree $12$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

gp:f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$2.36357189983$
Analytic rank:	$0$
Dimension:	$432$
Relative dimension:	$36$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			19.4
Character	$\chi$	$=$	296.19
Dual form			296.2.bj.a.187.4

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.35304 + 0.411453i) q^{2} +(0.454193 + 0.541286i) q^{3} +(1.66141 - 1.11342i) q^{4} +(-2.89649 + 1.35066i) q^{5} +(-0.837254 - 0.545500i) q^{6} +(-0.668851 + 1.83765i) q^{7} +(-1.78983 + 2.19009i) q^{8} +(0.434245 - 2.46273i) q^{9} +(3.36333 - 3.01926i) q^{10} +(-2.65277 - 1.53158i) q^{11} +(1.35728 + 0.393591i) q^{12} +(-1.36623 - 0.956646i) q^{13} +(0.148871 - 2.76161i) q^{14} +(-2.04666 - 0.954372i) q^{15} +(1.52058 - 3.69971i) q^{16} +(-2.01347 + 1.40985i) q^{17} +(0.425748 + 3.51083i) q^{18} +(-3.78500 - 0.331145i) q^{19} +(-3.30842 + 5.46902i) q^{20} +(-1.29848 + 0.472609i) q^{21} +(4.21946 + 0.980787i) q^{22} +(1.98517 + 0.531924i) q^{23} +(-1.99840 + 0.0259162i) q^{24} +(3.35145 - 3.99411i) q^{25} +(2.24218 + 0.732235i) q^{26} +(3.36607 - 1.94340i) q^{27} +(0.934847 + 3.79781i) q^{28} +(-8.47912 + 2.27197i) q^{29} +(3.16188 + 0.449195i) q^{30} +(-2.80152 - 2.80152i) q^{31} +(-0.535142 + 5.63148i) q^{32} +(-0.375847 - 2.13154i) q^{33} +(2.14421 - 2.73602i) q^{34} +(-0.544716 - 6.22613i) q^{35} +(-2.02060 - 4.57510i) q^{36} +(-3.75378 - 4.78635i) q^{37} +(5.25749 - 1.10930i) q^{38} +(-0.102714 - 1.17402i) q^{39} +(2.22616 - 8.76103i) q^{40} +(-9.76013 + 1.72098i) q^{41} +(1.56244 - 1.17372i) q^{42} +(6.52507 + 6.52507i) q^{43} +(-6.11263 + 0.409072i) q^{44} +(2.06851 + 7.71978i) q^{45} +(-2.90487 + 0.0970918i) q^{46} +(3.02835 - 1.74842i) q^{47} +(2.69324 - 0.857312i) q^{48} +(2.43271 + 2.04128i) q^{49} +(-2.89125 + 6.78314i) q^{50} +(-1.67763 - 0.449521i) q^{51} +(-3.33503 - 0.0681895i) q^{52} +(-1.56456 - 4.29859i) q^{53} +(-3.75479 + 4.01447i) q^{54} +(9.75235 + 0.853220i) q^{55} +(-2.82750 - 4.75393i) q^{56} +(-1.53988 - 2.19917i) q^{57} +(10.5377 - 6.56283i) q^{58} +(8.16744 + 3.80854i) q^{59} +(-4.46296 + 0.693190i) q^{60} +(-5.07336 + 7.24550i) q^{61} +(4.94325 + 2.63786i) q^{62} +(4.23519 + 2.44519i) q^{63} +(-1.59303 - 7.83979i) q^{64} +(5.24938 + 0.925607i) q^{65} +(1.38556 + 2.72940i) q^{66} +(-3.64414 + 10.0122i) q^{67} +(-1.77545 + 4.58418i) q^{68} +(0.613726 + 1.31614i) q^{69} +(3.29878 + 8.20005i) q^{70} +(3.92568 + 4.67844i) q^{71} +(4.61638 + 5.35890i) q^{72} +6.62328i q^{73} +(7.04835 + 4.93160i) q^{74} +3.68416 q^{75} +(-6.65715 + 3.66414i) q^{76} +(4.58881 - 3.85047i) q^{77} +(0.622032 + 1.54624i) q^{78} +(15.0886 - 7.03593i) q^{79} +(0.592686 + 12.7700i) q^{80} +(-4.46894 - 1.62656i) q^{81} +(12.4977 - 6.34438i) q^{82} +(-0.679980 + 3.85636i) q^{83} +(-1.63110 + 2.23096i) q^{84} +(3.92778 - 6.80312i) q^{85} +(-11.5134 - 6.14389i) q^{86} +(-5.08095 - 3.55772i) q^{87} +(8.10229 - 3.06855i) q^{88} +(1.06958 - 2.29373i) q^{89} +(-5.97510 - 9.59405i) q^{90} +(2.67179 - 1.87081i) q^{91} +(3.89044 - 1.32659i) q^{92} +(0.243993 - 2.78885i) q^{93} +(-3.37808 + 3.61170i) q^{94} +(11.4105 - 4.15308i) q^{95} +(-3.29130 + 2.26812i) q^{96} +(-0.490768 + 1.83157i) q^{97} +(-4.13144 - 1.76099i) q^{98} +(-4.92380 + 5.86796i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 432 q - 12 q^{2} - 24 q^{3} - 18 q^{4} - 12 q^{6} - 6 q^{8} - 24 q^{9} - 6 q^{10} - 36 q^{11} - 12 q^{12} - 12 q^{14} + 18 q^{16} - 24 q^{17} - 42 q^{18} - 24 q^{19} - 12 q^{20} - 24 q^{22} - 84 q^{24}+ \cdots - 132 q^{99}+O(q^{100}) $ 432 * q - 12 * q^2 - 24 * q^3 - 18 * q^4 - 12 * q^6 - 6 * q^8 - 24 * q^9 - 6 * q^10 - 36 * q^11 - 12 * q^12 - 12 * q^14 + 18 * q^16 - 24 * q^17 - 42 * q^18 - 24 * q^19 - 12 * q^20 - 24 * q^22 - 84 * q^24 - 12 * q^25 - 6 * q^26 - 36 * q^27 - 12 * q^28 - 36 * q^30 - 42 * q^32 - 60 * q^33 - 12 * q^34 - 24 * q^35 + 60 * q^38 - 12 * q^40 - 24 * q^41 - 12 * q^42 - 6 * q^44 + 48 * q^46 - 18 * q^48 + 24 * q^49 - 42 * q^50 + 96 * q^51 - 42 * q^52 - 72 * q^54 - 12 * q^56 - 24 * q^57 + 48 * q^58 - 24 * q^59 + 144 * q^60 - 72 * q^62 + 108 * q^64 - 84 * q^65 - 168 * q^66 - 24 * q^67 - 18 * q^68 - 186 * q^70 + 234 * q^72 - 150 * q^74 - 48 * q^75 + 42 * q^76 - 222 * q^78 + 120 * q^80 - 60 * q^81 - 24 * q^82 - 24 * q^83 + 126 * q^84 - 54 * q^86 - 24 * q^89 + 72 * q^90 - 24 * q^91 + 114 * q^92 - 24 * q^94 + 72 * q^96 - 24 * q^97 - 114 * q^98 - 132 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/296\mathbb{Z}\right)^\times$.

$n$	$113$	$149$	$223$
$\chi(n)$	$e\left(\frac{35}{36}\right)$	$-1$	$-1$

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 $

$2$	−1.35304	+	0.411453i	−0.956741	+	0.290942i
$2$	−1.35304	+	0.411453i	−0.956741	+	0.290942i
$3$	0.454193	+	0.541286i	0.262228	+	0.312512i	0.881053	−	0.473017i	$-0.156835\pi$
$3$	0.454193	+	0.541286i	0.262228	+	0.312512i	−0.618825	+	0.785529i	$0.712391\pi$
$4$	1.66141	−	1.11342i	0.830706	−	0.556711i
$5$	−2.89649	+	1.35066i	−1.29535	+	0.604032i	−0.943298	−	0.331948i	$-0.892294\pi$
$5$	−2.89649	+	1.35066i	−1.29535	+	0.604032i	−0.352053	+	0.935980i	$0.614516\pi$
$6$	−0.837254	−	0.545500i	−0.341807	−	0.222700i
$7$	−0.668851	+	1.83765i	−0.252802	+	0.694567i	0.746764	+	0.665089i	$0.231607\pi$
$7$	−0.668851	+	1.83765i	−0.252802	+	0.694567i	−0.999565	+	0.0294776i	$0.990616\pi$
$8$	−1.78983	+	2.19009i	−0.632800	+	0.774315i
$9$	0.434245	−	2.46273i	0.144748	−	0.820909i
$10$	3.36333	−	3.01926i	1.06358	−	0.954773i
$11$	−2.65277	−	1.53158i	−0.799839	−	0.461787i	0.0435757	−	0.999050i	$-0.486125\pi$
$11$	−2.65277	−	1.53158i	−0.799839	−	0.461787i	−0.843415	+	0.537263i	$0.819458\pi$
$12$	1.35728	+	0.393591i	0.391814	+	0.113620i
$13$	−1.36623	−	0.956646i	−0.378925	−	0.265326i	0.368561	−	0.929603i	$-0.379850\pi$
$13$	−1.36623	−	0.956646i	−0.378925	−	0.265326i	−0.747486	+	0.664278i	$0.768739\pi$
$14$	0.148871	−	2.76161i	0.0397873	−	0.738071i
$15$	−2.04666	−	0.954372i	−0.528445	−	0.246418i
$16$	1.52058	−	3.69971i	0.380145	−	0.924927i
$17$	−2.01347	+	1.40985i	−0.488338	+	0.341938i	−0.791672	−	0.610946i	$-0.790789\pi$
$17$	−2.01347	+	1.40985i	−0.488338	+	0.341938i	0.303334	+	0.952884i	$0.401900\pi$
$18$	0.425748	+	3.51083i	0.100350	+	0.827510i
$19$	−3.78500	−	0.331145i	−0.868339	−	0.0759698i	−0.355727	−	0.934590i	$-0.615767\pi$
$19$	−3.78500	−	0.331145i	−0.868339	−	0.0759698i	−0.512612	+	0.858620i	$0.671322\pi$
$20$	−3.30842	+	5.46902i	−0.739784	+	1.22291i
$21$	−1.29848	+	0.472609i	−0.283352	+	0.103132i
$22$	4.21946	+	0.980787i	0.899592	+	0.209104i
$23$	1.98517	+	0.531924i	0.413936	+	0.110914i	0.459776	−	0.888035i	$-0.347930\pi$
$23$	1.98517	+	0.531924i	0.413936	+	0.110914i	−0.0458398	+	0.998949i	$0.514596\pi$
$24$	−1.99840	+	0.0259162i	−0.407921	+	0.00529013i
$25$	3.35145	−	3.99411i	0.670291	−	0.798822i
$26$	2.24218	+	0.732235i	0.439727	+	0.143603i
$27$	3.36607	−	1.94340i	0.647800	−	0.374008i
$28$	0.934847	+	3.79781i	0.176669	+	0.717719i
$29$	−8.47912	+	2.27197i	−1.57453	+	0.421895i	−0.937228	−	0.348717i	$-0.886618\pi$
$29$	−8.47912	+	2.27197i	−1.57453	+	0.421895i	−0.637305	+	0.770612i	$0.719951\pi$
$30$	3.16188	+	0.449195i	0.577278	+	0.0820115i
$31$	−2.80152	−	2.80152i	−0.503168	−	0.503168i	0.409253	−	0.912421i	$-0.365789\pi$
$31$	−2.80152	−	2.80152i	−0.503168	−	0.503168i	−0.912421	+	0.409253i	$0.865789\pi$
$32$	−0.535142	+	5.63148i	−0.0946006	+	0.995515i
$33$	−0.375847	−	2.13154i	−0.0654266	−	0.371053i
$34$	2.14421	−	2.73602i	0.367729	−	0.469224i
$35$	−0.544716	−	6.22613i	−0.0920738	−	1.05241i
$36$	−2.02060	−	4.57510i	−0.336766	−	0.762517i
$37$	−3.75378	−	4.78635i	−0.617117	−	0.786871i
$37$	−3.75378	−	4.78635i	−0.617117	−	0.786871i
$38$	5.25749	−	1.10930i	0.852878	−	0.179952i
$39$	−0.102714	−	1.17402i	−0.0164474	−	0.187994i
$40$	2.22616	−	8.76103i	0.351987	−	1.38524i
$41$	−9.76013	+	1.72098i	−1.52428	+	0.268771i	−0.872112	−	0.489306i	$-0.837250\pi$
$41$	−9.76013	+	1.72098i	−1.52428	+	0.268771i	−0.652165	+	0.758077i	$0.726139\pi$
$42$	1.56244	−	1.17372i	0.241089	−	0.181109i
$43$	6.52507	+	6.52507i	0.995064	+	0.995064i	0.999988	−	0.00492394i	$-0.00156734\pi$
$43$	6.52507	+	6.52507i	0.995064	+	0.995064i	−0.00492394	+	0.999988i	$0.501567\pi$
$44$	−6.11263	+	0.409072i	−0.921514	+	0.0616700i
$45$	2.06851	+	7.71978i	0.308355	+	1.15080i
$46$	−2.90487	+	0.0970918i	−0.428299	+	0.0143154i
$47$	3.02835	−	1.74842i	0.441731	−	0.255033i	−0.262601	−	0.964905i	$-0.584580\pi$
$47$	3.02835	−	1.74842i	0.441731	−	0.255033i	0.704332	+	0.709871i	$0.251247\pi$
$48$	2.69324	−	0.857312i	0.388735	−	0.123742i
$49$	2.43271	+	2.04128i	0.347530	+	0.291612i
$50$	−2.89125	+	6.78314i	−0.408884	+	0.959281i
$51$	−1.67763	−	0.449521i	−0.234916	−	0.0629455i
$52$	−3.33503	−	0.0681895i	−0.462485	−	0.00945618i
$53$	−1.56456	−	4.29859i	−0.214909	−	0.590456i	0.784657	−	0.619930i	$-0.212839\pi$
$53$	−1.56456	−	4.29859i	−0.214909	−	0.590456i	−0.999566	+	0.0294738i	$0.990617\pi$
$54$	−3.75479	+	4.01447i	−0.510963	+	0.546300i
$55$	9.75235	+	0.853220i	1.31501	+	0.115048i
$56$	−2.82750	−	4.75393i	−0.377841	−	0.635270i
$57$	−1.53988	−	2.19917i	−0.203962	−	0.291288i
$58$	10.5377	−	6.56283i	1.38367	−	0.861741i
$59$	8.16744	+	3.80854i	1.06331	+	0.495830i	0.873919	−	0.486072i	$-0.161571\pi$
$59$	8.16744	+	3.80854i	1.06331	+	0.495830i	0.189391	+	0.981902i	$0.439348\pi$
$60$	−4.46296	+	0.693190i	−0.576166	+	0.0894904i
$61$	−5.07336	+	7.24550i	−0.649577	+	0.927691i	−0.999960	−	0.00891478i	$-0.997162\pi$
$61$	−5.07336	+	7.24550i	−0.649577	+	0.927691i	0.350384	+	0.936606i	$0.386051\pi$
$62$	4.94325	+	2.63786i	0.627793	+	0.335009i
$63$	4.23519	+	2.44519i	0.533584	+	0.308065i
$64$	−1.59303	−	7.83979i	−0.199128	−	0.979973i
$65$	5.24938	+	0.925607i	0.651105	+	0.114807i
$66$	1.38556	+	2.72940i	0.170551	+	0.335966i
$67$	−3.64414	+	10.0122i	−0.445202	+	1.22318i	0.490826	+	0.871258i	$0.336695\pi$
$67$	−3.64414	+	10.0122i	−0.445202	+	1.22318i	−0.936028	+	0.351926i	$0.885527\pi$
$68$	−1.77545	+	4.58418i	−0.215305	+	0.555913i
$69$	0.613726	+	1.31614i	0.0738840	+	0.158445i
$70$	3.29878	+	8.20005i	0.394280	+	0.980094i
$71$	3.92568	+	4.67844i	0.465892	+	0.555229i	0.946917	−	0.321478i	$-0.104180\pi$
$71$	3.92568	+	4.67844i	0.465892	+	0.555229i	−0.481025	+	0.876707i	$0.659735\pi$
$72$	4.61638	+	5.35890i	0.544046	+	0.631552i
$73$			6.62328i			0.775196i	0.921829	+	0.387598i	$0.126695\pi$
$73$			6.62328i			0.775196i	−0.921829	+	0.387598i	$0.873305\pi$
$74$	7.04835	+	4.93160i	0.819355	+	0.573287i
$75$	3.68416			0.425410
$76$	−6.65715	+	3.66414i	−0.763628	+	0.420305i
$77$	4.58881	−	3.85047i	0.522943	−	0.438801i
$78$	0.622032	+	1.54624i	0.0704313	+	0.175077i
$79$	15.0886	−	7.03593i	1.69760	−	0.791604i	0.700655	−	0.713501i	$-0.252891\pi$
$79$	15.0886	−	7.03593i	1.69760	−	0.791604i	0.996945	−	0.0781033i	$-0.0248864\pi$
$80$	0.592686	+	12.7700i	0.0662643	+	1.42772i
$81$	−4.46894	−	1.62656i	−0.496549	−	0.180729i
$82$	12.4977	−	6.34438i	1.38014	−	0.700620i
$83$	−0.679980	+	3.85636i	−0.0746375	+	0.423290i	0.924478	+	0.381236i	$0.124501\pi$
$83$	−0.679980	+	3.85636i	−0.0746375	+	0.423290i	−0.999115	+	0.0420546i	$0.986610\pi$
$84$	−1.63110	+	2.23096i	−0.177968	+	0.243418i
$85$	3.92778	−	6.80312i	0.426028	−	0.737902i
$86$	−11.5134	−	6.14389i	−1.24152	−	0.662513i
$87$	−5.08095	−	3.55772i	−0.544735	−	0.381427i
$88$	8.10229	−	3.06855i	0.863707	−	0.327109i
$89$	1.06958	−	2.29373i	0.113376	−	0.243135i	−0.841430	−	0.540367i	$-0.818286\pi$
$89$	1.06958	−	2.29373i	0.113376	−	0.243135i	0.954805	+	0.297232i	$0.0960634\pi$
$90$	−5.97510	−	9.59405i	−0.629831	−	1.01130i
$91$	2.67179	−	1.87081i	0.280079	−	0.196114i
$92$	3.89044	−	1.32659i	0.405606	−	0.138306i
$93$	0.243993	−	2.78885i	0.0253009	−	0.289191i
$94$	−3.37808	+	3.61170i	−0.348422	+	0.372519i
$95$	11.4105	−	4.15308i	1.17069	−	0.426097i
$96$	−3.29130	+	2.26812i	−0.335917	+	0.231489i
$97$	−0.490768	+	1.83157i	−0.0498299	+	0.185968i	−0.986355	−	0.164633i	$-0.947356\pi$
$97$	−0.490768	+	1.83157i	−0.0498299	+	0.185968i	0.936525	+	0.350601i	$0.114023\pi$
$98$	−4.13144	−	1.76099i	−0.417338	−	0.177886i
$99$	−4.92380	+	5.86796i	−0.494861	+	0.589752i
$100$	1.12102	−	10.3674i	0.112102	−	1.03674i
$101$	7.26275	+	12.5795i	0.722671	+	1.25170i	0.959925	+	0.280255i	$0.0904191\pi$
$101$	7.26275	+	12.5795i	0.722671	+	1.25170i	−0.237255	+	0.971448i	$0.576248\pi$
$102$	2.45486	−	0.0820508i	0.243067	−	0.00812424i
$103$	−13.5980	+	3.64357i	−1.33985	+	0.359012i	−0.856379	−	0.516348i	$-0.827291\pi$
$103$	−13.5980	+	3.64357i	−1.33985	+	0.359012i	−0.483472	+	0.875360i	$0.660625\pi$
$104$	4.54047	−	1.27995i	0.445229	−	0.125509i
$105$	3.12271	−	3.12271i	0.304746	−	0.304746i
$106$	3.88557	+	5.17240i	0.377400	+	0.502388i
$107$	−1.59574	−	9.04989i	−0.154266	−	0.874886i	−0.959454	−	0.281866i	$-0.909047\pi$
$107$	−1.59574	−	9.04989i	−0.154266	−	0.874886i	0.805188	−	0.593020i	$-0.202065\pi$
$108$	3.42860	−	6.97665i	0.329917	−	0.671328i
$109$	−6.22633	+	0.544734i	−0.596375	+	0.0521760i	−0.381347	−	0.924432i	$-0.624540\pi$
$109$	−6.22633	+	0.544734i	−0.596375	+	0.0521760i	−0.215028	+	0.976608i	$0.568984\pi$
$110$	−13.5463	+	2.85820i	−1.29159	+	0.272519i
$111$	0.885847	−	4.20580i	0.0840809	−	0.399196i
$112$	5.78173	+	5.26885i	0.546322	+	0.497859i
$113$	−0.824867	+	0.0721665i	−0.0775970	+	0.00678886i	−0.125888	−	0.992044i	$-0.540178\pi$
$113$	−0.824867	+	0.0721665i	−0.0775970	+	0.00678886i	0.0482911	+	0.998833i	$0.484622\pi$
$114$	2.98837	+	2.34197i	0.279886	+	0.219346i
$115$	−6.46847	+	1.14057i	−0.603188	+	0.106358i
$116$	−11.5576	+	13.2155i	−1.07310	+	1.22703i
$117$	−2.94924	+	2.94924i	−0.272657	+	0.272657i
$118$	−12.6179	−	1.79257i	−1.16157	−	0.165019i
$119$	−1.24410	−	4.64303i	−0.114046	−	0.425626i
$120$	5.75333	−	2.77421i	0.525205	−	0.253250i
$121$	−0.808553	−	1.40046i	−0.0735048	−	0.127314i
$122$	3.88324	−	11.8909i	0.351572	−	1.07655i
$123$	−5.36453	−	4.50137i	−0.483703	−	0.405875i
$124$	−7.77375	−	1.53520i	−0.698103	−	0.137865i
$125$	−0.176962	+	0.660431i	−0.0158280	+	0.0590708i
$126$	−6.73644	−	1.56584i	−0.600130	−	0.139496i
$127$	−1.77971	−	4.88971i	−0.157924	−	0.433892i	0.835345	−	0.549726i	$-0.185268\pi$
$127$	−1.77971	−	4.88971i	−0.157924	−	0.433892i	−0.993269	+	0.115835i	$0.963046\pi$
$128$	5.38113	+	9.95206i	0.475629	+	0.879646i
$129$	−0.568289	+	6.49557i	−0.0500351	+	0.571903i
$130$	−7.48344	+	0.907496i	−0.656341	+	0.0795926i
$131$	−6.19874	−	8.85272i	−0.541587	−	0.773466i	0.451320	−	0.892362i	$-0.350953\pi$
$131$	−6.19874	−	8.85272i	−0.541587	−	0.773466i	−0.992907	+	0.118896i	$0.962064\pi$
$132$	−2.99774	−	3.12288i	−0.260920	−	0.271812i
$133$	3.14013	−	6.73403i	0.272284	−	0.583914i
$134$	0.811100	−	15.0462i	0.0700684	−	1.29980i
$135$	−7.12492	+	10.1754i	−0.613216	+	0.875763i
$136$	0.516068	−	6.93307i	0.0442525	−	0.594506i
$137$	−4.14947	+	7.18709i	−0.354513	+	0.614035i	−0.987035	−	0.160508i	$-0.948687\pi$
$137$	−4.14947	+	7.18709i	−0.354513	+	0.614035i	0.632521	+	0.774543i	$0.282020\pi$
$138$	−1.37192	−	1.52827i	−0.116786	−	0.130095i
$139$	−8.43633	−	1.48755i	−0.715560	−	0.126173i	−0.195997	−	0.980605i	$-0.562794\pi$
$139$	−8.43633	−	1.48755i	−0.715560	−	0.126173i	−0.519563	+	0.854432i	$0.673905\pi$
$140$	−7.83731	−	9.73767i	−0.662374	−	0.822983i
$141$	2.32185	+	0.845085i	0.195535	+	0.0711690i
$142$	−7.23654	−	4.71486i	−0.607277	−	0.395663i
$143$	2.15912	+	4.63025i	0.180555	+	0.387201i
$144$	−8.45106	−	5.35135i	−0.704255	−	0.445946i
$145$	21.4911	−	18.0331i	1.78473	−	1.49757i
$146$	−2.72517	−	8.96153i	−0.225537	−	0.741662i
$147$			2.24393i			0.185076i
$148$	−11.5658	−	3.77256i	−0.950703	−	0.310103i
$149$		−	1.03291i		−	0.0846194i	−0.999105	−	0.0423097i	$-0.986528\pi$
$149$		−	1.03291i		−	0.0846194i	0.999105	−	0.0423097i	$-0.0134716\pi$
$150$	−4.98480	+	1.51586i	−0.407008	+	0.123770i
$151$	1.27254	−	1.06779i	0.103558	−	0.0868954i	−0.589539	−	0.807740i	$-0.700690\pi$
$151$	1.27254	−	1.06779i	0.103558	−	0.0868954i	0.693097	+	0.720845i	$0.256246\pi$
$152$	7.49974	−	7.69682i	0.608309	−	0.624294i
$153$	2.59773	+	5.57085i	0.210014	+	0.450376i
$154$	−4.62453	+	7.09790i	−0.372655	+	0.571965i
$155$	11.8985	+	4.33069i	0.955708	+	0.347849i
$156$	−1.47784	−	1.83617i	−0.118322	−	0.147012i
$157$	11.9803	+	2.11245i	0.956131	+	0.168592i	0.629881	−	0.776692i	$-0.283104\pi$
$157$	11.9803	+	2.11245i	0.956131	+	0.168592i	0.326250	+	0.945284i	$0.394215\pi$
$158$	−17.5205	+	15.7281i	−1.39385	+	1.25126i
$159$	1.61615	−	2.79926i	0.128169	−	0.221996i
$160$	−6.05617	−	17.0343i	−0.478782	−	1.34668i
$161$	−2.30527	+	3.29227i	−0.181681	+	0.259467i
$162$	6.71589	+	0.362034i	0.527650	+	0.0284441i
$163$	0.0861583	−	0.184767i	0.00674844	−	0.0144721i	−0.902905	−	0.429841i	$-0.858570\pi$
$163$	0.0861583	−	0.184767i	0.00674844	−	0.0144721i	0.909653	+	0.415369i	$0.136347\pi$
$164$	−14.2994	+	13.7264i	−1.11660	+	1.07185i
$165$	3.96761	+	5.66634i	0.308878	+	0.441124i
$166$	−0.666675	−	5.49757i	−0.0517440	−	0.426694i
$167$	1.09092	−	12.4693i	0.0844180	−	0.964902i	−0.829367	−	0.558704i	$-0.811299\pi$
$167$	1.09092	−	12.4693i	0.0844180	−	0.964902i	0.913785	−	0.406198i	$-0.133146\pi$
$168$	1.28900	−	3.68969i	0.0994487	−	0.284666i
$169$	−3.49484	−	9.60200i	−0.268834	−	0.738616i
$170$	−2.51526	+	10.8210i	−0.192912	+	0.829930i
$171$	−2.45914	+	9.17762i	−0.188055	+	0.701831i
$172$	18.1060	+	3.57567i	1.38057	+	0.272642i
$173$	−10.3180	−	8.65786i	−0.784466	−	0.658245i	0.159903	−	0.987133i	$-0.448882\pi$
$173$	−10.3180	−	8.65786i	−0.784466	−	0.658245i	−0.944369	+	0.328888i	$0.893326\pi$
$174$	8.33854	+	2.72315i	0.632143	+	0.206441i
$175$	5.09816	+	8.83027i	0.385384	+	0.667505i
$176$	−9.70013	+	7.48558i	−0.731174	+	0.564247i
$177$	1.64808	+	6.15074i	0.123878	+	0.462318i
$178$	−0.503422	+	3.54358i	−0.0377331	+	0.265603i
$179$	7.82695	−	7.82695i	0.585014	−	0.585014i	−0.351263	−	0.936277i	$-0.614248\pi$
$179$	7.82695	−	7.82695i	0.585014	−	0.585014i	0.936277	+	0.351263i	$0.114248\pi$
$180$	12.0320	+	10.5226i	0.896814	+	0.784309i
$181$	−14.9696	+	2.63955i	−1.11268	+	0.196196i	−0.699627	−	0.714509i	$-0.746650\pi$
$181$	−14.9696	+	2.63955i	−1.11268	+	0.196196i	−0.413058	+	0.910705i	$0.635539\pi$
$182$	−2.84527	+	3.63058i	−0.210906	+	0.269117i
$183$	−6.22617	+	0.544720i	−0.460252	+	0.0402668i
$184$	−4.71808	+	3.39565i	−0.347821	+	0.250331i
$185$	17.3375	+	8.79357i	1.27468	+	0.646516i
$186$	0.817352	+	3.87381i	0.0599312	+	0.284042i
$187$	7.50055	−	0.656213i	0.548495	−	0.0479871i
$188$	3.08461	−	6.27668i	0.224968	−	0.457774i
$189$	1.31990	+	7.48551i	0.0960084	+	0.544490i
$190$	−13.7300	+	10.3141i	−0.996079	+	0.748267i
$191$	−3.29782	+	3.29782i	−0.238622	+	0.238622i	−0.816279	−	0.577657i	$-0.803967\pi$
$191$	−3.29782	+	3.29782i	−0.238622	+	0.238622i	0.577657	+	0.816279i	$0.303967\pi$
$192$	3.52003	−	4.42306i	0.254036	−	0.319207i
$193$	−17.7930	+	4.76763i	−1.28077	+	0.343182i	−0.834148	−	0.551540i	$-0.814040\pi$
$193$	−17.7930	+	4.76763i	−1.28077	+	0.343182i	−0.446623	+	0.894722i	$0.647374\pi$
$194$	−0.0895796	−	2.68011i	−0.00643144	−	0.192421i
$195$	1.88321	+	3.26182i	0.134860	+	0.233584i
$196$	6.31454	+	0.682783i	0.451039	+	0.0487702i
$197$	13.3086	−	15.8606i	0.948202	−	1.13002i	−0.0431865	−	0.999067i	$-0.513751\pi$
$197$	13.3086	−	15.8606i	0.948202	−	1.13002i	0.991388	−	0.130956i	$-0.0418046\pi$
$198$	4.24769	−	9.96547i	0.301870	−	0.708215i
$199$	−7.24235	+	27.0288i	−0.513397	+	1.91602i	−0.133302	+	0.991075i	$0.542558\pi$
$199$	−7.24235	+	27.0288i	−0.513397	+	1.91602i	−0.380094	+	0.924948i	$0.624109\pi$
$200$	2.74895	+	14.4888i	0.194380	+	1.02451i
$201$	−7.07460	+	2.57494i	−0.499004	+	0.181623i
$202$	−15.0026	−	14.0322i	−1.05558	−	0.987300i
$203$	1.49617	−	17.1013i	0.105010	−	1.20027i
$204$	−3.28775	+	1.12108i	−0.230189	+	0.0784911i
$205$	25.9457	−	18.1674i	1.81213	−	1.26886i
$206$	16.8994	−	10.5248i	1.17744	−	0.733300i
$207$	2.17203	−	4.65794i	0.150967	−	0.323749i
$208$	−5.61678	+	3.60000i	−0.389453	+	0.249615i
$209$	9.53355	+	6.67546i	0.659450	+	0.461752i
$210$	−2.94029	+	5.50999i	−0.202899	+	0.380226i
$211$	5.58995	−	9.68207i	0.384828	−	0.666541i	−0.606918	−	0.794765i	$-0.707594\pi$
$211$	5.58995	−	9.68207i	0.384828	−	0.666541i	0.991745	+	0.128224i	$0.0409275\pi$
$212$	−7.38552	−	5.39971i	−0.507240	−	0.370854i
$213$	−0.749360	+	4.24983i	−0.0513453	+	0.291194i
$214$	5.88270	+	11.5883i	0.402133	+	0.792157i
$215$	−27.7129	−	10.0867i	−1.89001	−	0.687906i
$216$	−1.76845	+	10.8504i	−0.120328	+	0.738274i
$217$	7.02201	−	3.27442i	0.476685	−	0.222282i
$218$	8.20032	−	3.29889i	0.555396	−	0.223429i
$219$	−3.58509	+	3.00825i	−0.242258	+	0.203278i
$220$	17.1527	−	9.44094i	1.15643	−	0.636508i
$221$	4.09959			0.275768
$222$	0.531906	+	6.05508i	0.0356992	+	0.406390i
$223$			22.4256i			1.50173i	0.660456	+	0.750865i	$0.270363\pi$
$223$			22.4256i			1.50173i	−0.660456	+	0.750865i	$0.729637\pi$
$224$	−9.99078	−	4.75003i	−0.667537	−	0.317374i
$225$	−8.38104	−	9.98814i	−0.558736	−	0.665876i
$226$	1.08638	−	0.437038i	0.0722650	−	0.0290714i
$227$	9.46945	+	20.3073i	0.628510	+	1.34784i	0.920244	+	0.391344i	$0.127990\pi$
$227$	9.46945	+	20.3073i	0.628510	+	1.34784i	−0.291735	+	0.956499i	$0.594232\pi$
$228$	−5.00698	−	1.93920i	−0.331595	−	0.128427i
$229$	9.55294	−	26.2465i	0.631276	−	1.73442i	−0.0462621	−	0.998929i	$-0.514731\pi$
$229$	9.55294	−	26.2465i	0.631276	−	1.73442i	0.677538	−	0.735488i	$-0.263047\pi$
$230$	8.28278	−	4.20470i	0.546151	−	0.277250i
$231$	4.16841	+	0.735003i	0.274261	+	0.0483596i
$232$	10.2003	−	22.6365i	0.669685	−	1.48616i
$233$	−16.8997	−	9.75706i	−1.10714	−	0.639206i	−0.169051	−	0.985607i	$-0.554070\pi$
$233$	−16.8997	−	9.75706i	−1.10714	−	0.639206i	−0.938087	+	0.346401i	$0.887404\pi$
$234$	2.77695	−	5.20390i	0.181535	−	0.340189i
$235$	−6.41009	+	9.15455i	−0.418148	+	0.597177i
$236$	17.8100	−	2.76626i	1.15933	−	0.180068i
$237$	10.6616	+	4.97158i	0.692545	+	0.322939i
$238$	3.59370	+	5.77030i	0.232945	+	0.374033i
$239$	−16.7530	−	23.9257i	−1.08366	−	1.54763i	−0.810574	−	0.585637i	$-0.800845\pi$
$239$	−16.7530	−	23.9257i	−1.08366	−	1.54763i	−0.273086	−	0.961990i	$-0.588044\pi$
$240$	−6.64301	+	6.12084i	−0.428804	+	0.395098i
$241$	−29.9503	−	2.62031i	−1.92927	−	0.168789i	−0.942869	−	0.333164i	$-0.891884\pi$
$241$	−29.9503	−	2.62031i	−1.92927	−	0.168789i	−0.986398	+	0.164375i	$0.947439\pi$
$242$	1.67022	+	1.56218i	0.107366	+	0.100421i
$243$	−5.13742	−	14.1149i	−0.329566	−	0.905474i
$244$	−0.361628	+	17.6866i	−0.0231508	+	1.13227i
$245$	−9.80339	−	2.62681i	−0.626316	−	0.167821i
$246$	9.11050	+	3.88326i	0.580864	+	0.247588i
$247$	4.85440	+	4.07333i	0.308878	+	0.259180i
$248$	11.1498	−	1.12135i	0.708015	−	0.0712060i
$249$	−2.39624	+	1.38347i	−0.151855	+	0.0876737i
$250$	−0.0323008	−	0.966399i	−0.00204288	−	0.0611204i
$251$	3.61549	+	13.4932i	0.228208	+	0.851683i	0.981094	+	0.193532i	$0.0619943\pi$
$251$	3.61549	+	13.4932i	0.228208	+	0.851683i	−0.752886	+	0.658151i	$0.771339\pi$
$252$	9.75892	−	0.653091i	0.614754	−	0.0411409i
$253$	−4.45151	−	4.45151i	−0.279864	−	0.279864i
$254$	4.41990	+	5.88369i	0.277329	+	0.369175i
$255$	5.46640	−	0.963874i	0.342319	−	0.0603602i
$256$	−11.3757	−	11.2514i	−0.710980	−	0.703213i
$257$	0.596884	+	6.82242i	0.0372326	+	0.425571i	0.991820	+	0.127641i	$0.0407405\pi$
$257$	0.596884	+	6.82242i	0.0372326	+	0.425571i	−0.954588	+	0.297930i	$0.903704\pi$
$258$	−1.90371	−	9.02257i	−0.118520	−	0.561720i
$259$	11.3064	−	3.69678i	0.702543	−	0.229707i
$260$	9.75198	−	4.30696i	0.604792	−	0.267107i
$261$	1.91323	+	21.8684i	0.118426	+	1.35362i
$262$	12.0296	+	9.42755i	0.743191	+	0.582436i
$263$	3.36069	+	19.0594i	0.207229	+	1.17526i	0.893893	+	0.448280i	$0.147963\pi$
$263$	3.36069	+	19.0594i	0.207229	+	1.17526i	−0.686664	+	0.726975i	$0.740926\pi$
$264$	5.34097	+	2.99194i	0.328714	+	0.184141i
$265$	10.3376	+	10.3376i	0.635036	+	0.635036i
$266$	−1.47797	+	10.4034i	−0.0906200	+	0.637873i
$267$	1.72736	−	0.462845i	0.105713	−	0.0283257i
$268$	5.09338	+	20.6918i	0.311128	+	1.26396i
$269$	15.4792	−	8.93693i	0.943785	−	0.544894i	0.0526401	−	0.998614i	$-0.483236\pi$
$269$	15.4792	−	8.93693i	0.943785	−	0.544894i	0.891145	+	0.453719i	$0.149903\pi$
$270$	5.45356	−	16.6993i	0.331893	−	1.01629i
$271$	−7.25134	+	8.64181i	−0.440487	+	0.524952i	−0.939917	−	0.341402i	$-0.889098\pi$
$271$	−7.25134	+	8.64181i	−0.440487	+	0.524952i	0.499430	+	0.866354i	$0.333543\pi$
$272$	2.15438	+	9.59304i	0.130628	+	0.581663i
$273$	2.22615	+	0.596495i	0.134733	+	0.0361015i
$274$	2.65723	−	11.4317i	0.160529	−	0.690615i
$275$	−15.0079	+	5.46243i	−0.905011	+	0.329397i
$276$	2.48507	+	1.50331i	0.149584	+	0.0904889i
$277$	1.41154	+	0.123494i	0.0848112	+	0.00742002i	0.129482	−	0.991582i	$-0.458668\pi$
$277$	1.41154	+	0.123494i	0.0848112	+	0.00742002i	−0.0446712	+	0.999002i	$0.514224\pi$
$278$	12.0267	−	1.45844i	0.721314	−	0.0874717i
$279$	−8.11592	+	5.68283i	−0.485887	+	0.340222i
$280$	14.6108	+	9.95073i	0.873160	+	0.594670i
$281$	14.8354	+	6.91785i	0.885005	+	0.412684i	0.811324	−	0.584597i	$-0.198748\pi$
$281$	14.8354	+	6.91785i	0.885005	+	0.412684i	0.0736811	+	0.997282i	$0.476525\pi$
$282$	−3.48926	−	0.188096i	−0.207783	−	0.0112010i
$283$	−7.70422	−	5.39455i	−0.457968	−	0.320673i	0.321726	−	0.946833i	$-0.395737\pi$
$283$	−7.70422	−	5.39455i	−0.457968	−	0.320673i	−0.779695	+	0.626160i	$0.784626\pi$
$284$	11.7312	+	3.40188i	0.696121	+	0.201864i
$285$	7.43057	+	4.29004i	0.440149	+	0.254120i
$286$	−4.82650	−	5.37651i	−0.285397	−	0.317920i
$287$	3.36552	−	19.0868i	0.198660	−	1.12666i
$288$	13.6364	+	3.76335i	0.803534	+	0.221758i
$289$	−3.74795	+	10.2974i	−0.220468	+	0.605730i
$290$	−21.6584	+	33.2420i	−1.27182	+	1.95204i
$291$	−1.21431	+	0.566241i	−0.0711839	+	0.0331936i
$292$	7.37451	+	11.0040i	0.431560	+	0.643960i
$293$	13.1738	+	15.6999i	0.769623	+	0.917201i	0.998415	−	0.0562744i	$-0.0179222\pi$
$293$	13.1738	+	15.6999i	0.769623	+	0.917201i	−0.228792	+	0.973475i	$0.573478\pi$
$294$	−0.923272	−	3.03612i	−0.0538463	−	0.177070i
$295$	−28.8010			−1.67686
$296$	17.2012	+	0.345625i	0.999798	+	0.0200890i
$297$	−11.9059			−0.690848
$298$	0.424995	+	1.39757i	0.0246193	+	0.0809589i
$299$	−2.20334	−	2.62584i	−0.127422	−	0.151856i
$300$	6.12091	−	4.10203i	0.353391	−	0.236831i
$301$	−16.3551	+	7.62651i	−0.942693	+	0.439585i
$302$	−1.28245	+	1.96835i	−0.0737966	+	0.113266i
$303$	−3.51039	+	9.64473i	−0.201667	+	0.554075i
$304$	−6.98054	+	13.4999i	−0.400361	+	0.774270i
$305$	4.90875	−	27.8389i	0.281074	−	1.59405i
$306$	−5.80696	−	6.46871i	−0.331962	−	0.369791i
$307$	4.26976	+	2.46514i	0.243688	+	0.140693i	0.616871	−	0.787065i	$-0.288400\pi$
$307$	4.26976	+	2.46514i	0.243688	+	0.140693i	−0.373183	+	0.927758i	$0.621734\pi$
$308$	3.33670	−	11.5065i	0.190126	−	0.655643i
$309$	−8.14834	−	5.70553i	−0.463543	−	0.324576i
$310$	−17.8809	−	0.963910i	−1.01557	−	0.0547464i
$311$	−21.0544	−	9.81782i	−1.19388	−	0.556718i	−0.278944	−	0.960307i	$-0.589985\pi$
$311$	−21.0544	−	9.81782i	−1.19388	−	0.556718i	−0.914940	+	0.403590i	$0.867762\pi$
$312$	2.75507	+	1.87635i	0.155975	+	0.106227i
$313$	11.4263	−	8.00079i	0.645853	−	0.452231i	−0.204199	−	0.978929i	$-0.565459\pi$
$313$	11.4263	−	8.00079i	0.645853	−	0.452231i	0.850052	+	0.526698i	$0.176570\pi$
$314$	−17.0789	+	2.07111i	−0.963820	+	0.116880i
$315$	−15.5698	−	1.36218i	−0.877259	−	0.0767502i
$316$	17.2344	−	28.4896i	0.969512	−	1.60266i
$317$	−12.6273	+	4.59596i	−0.709220	+	0.258135i	−0.671342	−	0.741147i	$-0.734282\pi$
$317$	−12.6273	+	4.59596i	−0.709220	+	0.258135i	−0.0378778	+	0.999282i	$0.512060\pi$
$318$	−1.03495	+	4.45247i	−0.0580371	+	0.249682i
$319$	25.9728	+	6.95940i	1.45420	+	0.389652i
$320$	15.2031	+	20.5562i	0.849876	+	1.14913i
$321$	4.17381	−	4.97415i	0.232959	−	0.277630i
$322$	1.76450	−	5.40307i	0.0983318	−	0.301101i
$323$	8.08785	−	4.66952i	0.450020	−	0.259819i
$324$	−9.23580	+	2.27343i	−0.513100	+	0.126302i
$325$	−8.39981	+	2.25072i	−0.465938	+	0.124848i
$326$	−0.0405522	+	0.285447i	−0.00224598	+	0.0158094i
$327$	−3.12281	−	3.12281i	−0.172692	−	0.172692i
$328$	13.6999	−	24.4559i	0.756449	−	1.35035i
$329$	1.18747	+	6.73449i	0.0654675	+	0.371285i
$330$	−7.69976	−	6.03427i	−0.423858	−	0.332176i
$331$	−2.28070	−	26.0685i	−0.125359	−	1.43286i	−0.754875	−	0.655869i	$-0.772303\pi$
$331$	−2.28070	−	26.0685i	−0.125359	−	1.43286i	0.629517	−	0.776987i	$-0.283253\pi$
$332$	3.16403	+	7.16411i	0.173649	+	0.393182i
$333$	−13.4175	+	7.16607i	−0.735276	+	0.392698i
$334$	3.65448	+	17.3203i	0.199964	+	0.947722i
$335$	−2.96781	−	33.9222i	−0.162149	−	1.85337i
$336$	−0.225932	+	5.52265i	−0.0123256	+	0.301285i
$337$	29.0233	−	5.11759i	1.58100	−	0.278773i	0.686938	−	0.726716i	$-0.258954\pi$
$337$	29.0233	−	5.11759i	1.58100	−	0.278773i	0.894062	+	0.447943i	$0.147843\pi$
$338$	8.67943	+	11.5539i	0.472099	+	0.628449i
$339$	−0.413712	−	0.413712i	−0.0224697	−	0.0224697i
$340$	−1.04908	−	15.6761i	−0.0568944	−	0.850154i
$341$	3.14104	+	11.7225i	0.170097	+	0.634810i
$342$	−0.448865	−	13.4295i	−0.0242718	−	0.726183i
$343$	−17.2334	+	9.94971i	−0.930517	+	0.537234i
$344$	−25.9693	+	2.61176i	−1.40017	+	0.140817i
$345$	−3.55531	−	2.98326i	−0.191411	−	0.160613i
$346$	17.5230	+	7.46901i	0.942042	+	0.401536i
$347$	2.34401	+	0.628075i	0.125833	+	0.0337168i	0.321186	−	0.947016i	$-0.395919\pi$
$347$	2.34401	+	0.628075i	0.125833	+	0.0337168i	−0.195353	+	0.980733i	$0.562585\pi$
$348$	−12.4028	−	0.253593i	−0.664859	−	0.0135940i
$349$	3.25551	+	8.94445i	0.174264	+	0.478785i	0.995820	−	0.0913426i	$-0.0291158\pi$
$349$	3.25551	+	8.94445i	0.174264	+	0.478785i	−0.821556	+	0.570128i	$0.806894\pi$
$350$	−10.5312	−	9.85001i	−0.562918	−	0.526505i
$351$	−6.45798	−	0.565000i	−0.344701	−	0.0301575i
$352$	10.0447	−	14.1194i	0.535382	−	0.752567i
$353$	−5.19539	−	7.41978i	−0.276523	−	0.394915i	0.656736	−	0.754121i	$-0.271937\pi$
$353$	−5.19539	−	7.41978i	−0.276523	−	0.394915i	−0.933258	+	0.359206i	$0.883048\pi$
$354$	−4.76066	−	7.64406i	−0.253026	−	0.406277i
$355$	−17.6897	−	8.24882i	−0.938869	−	0.437802i
$356$	−0.776871	−	5.00173i	−0.0411741	−	0.265091i
$357$	1.94815	−	2.78225i	0.103107	−	0.147252i
$358$	−7.36972	+	13.8106i	−0.389502	+	0.729912i
$359$	−6.11559	−	3.53083i	−0.322768	−	0.186350i	0.329858	−	0.944031i	$-0.392999\pi$
$359$	−6.11559	−	3.53083i	−0.322768	−	0.186350i	−0.652626	+	0.757680i	$0.726333\pi$
$360$	−20.6093	−	9.28686i	−1.08621	−	0.489460i
$361$	−4.49477	−	0.792549i	−0.236567	−	0.0417131i
$362$	19.1684	−	9.73071i	1.00747	−	0.511435i
$363$	0.390808	−	1.07374i	0.0205121	−	0.0563565i
$364$	2.35594	−	6.08301i	0.123485	−	0.318836i
$365$	−8.94577	−	19.1843i	−0.468243	−	1.00415i
$366$	8.20011	−	3.29881i	0.428627	−	0.172431i
$367$	21.8754	+	26.0701i	1.14189	+	1.36085i	0.922863	+	0.385128i	$0.125843\pi$
$367$	21.8754	+	26.0701i	1.14189	+	1.36085i	0.219024	+	0.975719i	$0.429713\pi$
$368$	4.98657	−	6.53571i	0.259943	−	0.340697i
$369$			24.7839i			1.29020i
$370$	−27.0764	−	4.76444i	−1.40764	−	0.247691i
$371$	8.94576			0.464441
$372$	−2.69980	−	4.90510i	−0.139978	−	0.254318i
$373$	1.99641	−	1.67519i	0.103370	−	0.0867379i	−0.589638	−	0.807668i	$-0.700729\pi$
$373$	1.99641	−	1.67519i	0.103370	−	0.0867379i	0.693008	+	0.720930i	$0.256285\pi$
$374$	−9.87852	+	3.97401i	−0.510806	+	0.205491i
$375$	−0.437857	+	0.204176i	−0.0226108	+	0.0105436i
$376$	−1.59103	+	9.76175i	−0.0820509	+	0.503424i
$377$	13.7579	+	5.00747i	0.708569	+	0.257898i
$378$	−4.86581	−	9.58508i	−0.250270	−	0.493003i
$379$	4.11642	−	23.3454i	0.211446	−	1.19917i	−0.675522	−	0.737340i	$-0.736082\pi$
$379$	4.11642	−	23.3454i	0.211446	−	1.19917i	0.886968	−	0.461831i	$-0.152807\pi$
$380$	14.3334	−	19.6047i	0.735287	−	1.00570i
$381$	1.83840	−	3.18420i	0.0941841	−	0.163132i
$382$	3.10517	−	5.81897i	0.158874	−	0.297724i
$383$	−0.239242	−	0.167519i	−0.0122247	−	0.00855981i	0.567448	−	0.823409i	$-0.307931\pi$
$383$	−0.239242	−	0.167519i	−0.0122247	−	0.00855981i	−0.579673	+	0.814849i	$0.696820\pi$
$384$	−2.94284	+	7.43289i	−0.150176	+	0.379308i
$385$	−8.09078	+	17.3507i	−0.412345	+	0.884276i
$386$	22.1130	−	13.7718i	1.12552	−	0.700966i
$387$	18.9029	−	13.2360i	0.960891	−	0.672823i
$388$	1.22394	+	3.58943i	0.0621364	+	0.182225i
$389$	1.53954	−	17.5971i	0.0780580	−	0.892207i	−0.851699	−	0.524032i	$-0.824427\pi$
$389$	1.53954	−	17.5971i	0.0780580	−	0.892207i	0.929757	−	0.368175i	$-0.120017\pi$
$390$	−3.89014	−	3.63851i	−0.196985	−	0.184243i
$391$	−4.74701	+	1.72777i	−0.240067	+	0.0873771i
$392$	−8.82474	+	1.67431i	−0.445717	+	0.0845655i
$393$	1.97643	−	7.37614i	0.0996977	−	0.372077i
$394$	−11.4812	+	26.9359i	−0.578413	+	1.35701i
$395$	−34.2009	+	40.7590i	−1.72083	+	2.05081i
$396$	−1.64695	+	15.2314i	−0.0827622	+	0.765405i
$397$	−2.68825	−	4.65618i	−0.134919	−	0.233687i	0.790647	−	0.612272i	$-0.209744\pi$
$397$	−2.68825	−	4.65618i	−0.134919	−	0.233687i	−0.925567	+	0.378585i	$0.876411\pi$
$398$	−1.32194	−	39.5509i	−0.0662630	−	1.98251i
$399$	5.07126	−	1.35884i	0.253881	−	0.0680271i
$400$	−9.68088	−	18.4728i	−0.484044	−	0.923638i
$401$	9.57863	−	9.57863i	0.478334	−	0.478334i	−0.426265	−	0.904599i	$-0.640171\pi$
$401$	9.57863	−	9.57863i	0.478334	−	0.478334i	0.904599	+	0.426265i	$0.140171\pi$
$402$	8.51272	−	6.39486i	0.424576	−	0.318947i
$403$	1.14746	+	6.50759i	0.0571592	+	0.324166i
$404$	26.0727	+	12.8131i	1.29716	+	0.637478i
$405$	15.1412	−	1.32468i	0.752371	−	0.0658239i
$406$	5.01201	+	23.7543i	0.248742	+	1.17890i
$407$	2.62723	+	18.4463i	0.130227	+	0.914347i
$408$	3.98717	−	2.86961i	0.197394	−	0.142067i
$409$	15.8256	−	1.38456i	0.782526	−	0.0684621i	0.311111	−	0.950374i	$-0.399299\pi$
$409$	15.8256	−	1.38456i	0.782526	−	0.0684621i	0.471415	+	0.881911i	$0.343743\pi$
$410$	−27.6304	+	35.2566i	−1.36457	+	1.74120i
$411$	−5.77493	+	1.01828i	−0.284857	+	0.0502279i
$412$	−18.5351	+	21.1938i	−0.913157	+	1.04414i
$413$	−12.4616	+	12.4616i	−0.613194	+	0.613194i
$414$	−1.02231	+	7.19605i	−0.0502440	+	0.353667i
$415$	−3.23906	−	12.0883i	−0.158999	−	0.593393i
$416$	6.11847	−	7.18197i	0.299982	−	0.352125i
$417$	−3.02653	−	5.24210i	−0.148210	−	0.256707i
$418$	−15.6459	−	5.10953i	−0.765265	−	0.249915i
$419$	−10.0662	−	8.44658i	−0.491768	−	0.412643i	0.362891	−	0.931832i	$-0.381790\pi$
$419$	−10.0662	−	8.44658i	−0.491768	−	0.412643i	−0.854660	+	0.519189i	$0.826234\pi$
$420$	1.71121	−	8.66501i	0.0834987	−	0.422809i
$421$	−1.37986	+	5.14972i	−0.0672505	+	0.250982i	−0.991365	−	0.131134i	$-0.958138\pi$
$421$	−1.37986	+	5.14972i	−0.0672505	+	0.250982i	0.924114	+	0.382117i	$0.124805\pi$
$422$	−3.57968	+	15.4002i	−0.174256	+	0.749670i
$423$	−2.99083	−	8.21725i	−0.145419	−	0.399536i
$424$	12.2146	+	4.26720i	0.593194	+	0.207234i
$425$	−1.11697	+	12.7671i	−0.0541811	+	0.619293i
$426$	−0.734697	−	6.05850i	−0.0355962	−	0.293535i
$427$	−9.92139	−	14.1692i	−0.480130	−	0.685696i
$428$	−12.7275	−	13.2589i	−0.615209	−	0.640892i
$429$	−1.52563	+	3.27173i	−0.0736582	+	0.157960i
$430$	41.6468	+	2.24506i	2.00839	+	0.108266i
$431$	14.0629	−	20.0840i	0.677388	−	0.967411i	−0.322395	−	0.946605i	$-0.604488\pi$
$431$	14.0629	−	20.0840i	0.677388	−	0.967411i	0.999784	−	0.0208056i	$-0.00662310\pi$
$432$	−2.07164	−	15.4086i	−0.0996717	−	0.741345i
$433$	−4.91286	+	8.50932i	−0.236097	+	0.408932i	−0.959591	−	0.281399i	$-0.909202\pi$
$433$	−4.91286	+	8.50932i	−0.236097	+	0.408932i	0.723494	+	0.690331i	$0.242535\pi$
$434$	−8.15376	+	7.31964i	−0.391393	+	0.351354i
$435$	19.5222	+	3.44229i	0.936017	+	0.165045i
$436$	−9.73799	+	7.83757i	−0.466365	+	0.375351i
$437$	−7.33772	−	2.67071i	−0.351011	−	0.127757i
$438$	3.61300	−	5.54536i	0.172636	−	0.264968i
$439$	0.634299	+	1.36026i	0.0302734	+	0.0649216i	0.920863	−	0.389886i	$-0.127486\pi$
$439$	0.634299	+	1.36026i	0.0302734	+	0.0649216i	−0.890590	+	0.454808i	$0.849708\pi$
$440$	−19.3237	+	19.8314i	−0.921220	+	0.945427i
$441$	6.08352	−	5.10468i	0.289691	−	0.243080i
$442$	−5.54690	+	1.68679i	−0.263839	+	0.0802325i
$443$			28.3019i			1.34466i	0.740250	+	0.672332i	$0.234707\pi$
$443$			28.3019i			1.34466i	−0.740250	+	0.672332i	$0.765293\pi$
$444$	−3.21107	−	7.97388i	−0.152391	−	0.378424i
$445$			8.08841i			0.383427i
$446$	−9.22709	−	30.3426i	−0.436915	−	1.43677i
$447$	0.559101	−	0.469141i	0.0264446	−	0.0221896i
$448$	15.4723	+	2.31622i	0.730997	+	0.109431i
$449$	−15.4627	−	33.1599i	−0.729731	−	1.56491i	−0.822201	−	0.569198i	$-0.807254\pi$
$449$	−15.4627	−	33.1599i	−0.729731	−	1.56491i	0.0924694	−	0.995716i	$-0.470524\pi$
$450$	15.4495	+	10.0659i	0.728297	+	0.474511i
$451$	28.5272	+	10.3830i	1.34329	+	0.488918i
$452$	−1.29009	+	1.03832i	−0.0606809	+	0.0488387i
$453$	1.15596	+	0.203827i	0.0543117	+	0.00957661i
$454$	−21.1680	−	23.5803i	−0.993465	−	1.10668i
$455$	−5.21199	+	9.02744i	−0.244342	+	0.423213i
$456$	7.57251	+	0.563665i	0.354615	+	0.0263960i
$457$	−16.2865	+	23.2595i	−0.761848	+	1.08803i	0.231494	+	0.972836i	$0.425639\pi$
$457$	−16.2865	+	23.2595i	−0.761848	+	1.08803i	−0.993343	+	0.115196i	$0.963250\pi$
$458$	−2.12626	+	39.4430i	−0.0993537	+	1.84305i
$459$	−4.03758	+	8.65862i	−0.188458	+	0.404150i
$460$	−9.47686	+	9.09709i	−0.441861	+	0.424154i
$461$	10.0488	+	14.3512i	0.468019	+	0.668401i	0.981887	−	0.189469i	$-0.0606766\pi$
$461$	10.0488	+	14.3512i	0.468019	+	0.668401i	−0.513868	+	0.857870i	$0.671788\pi$
$462$	−5.94243	+	0.720621i	−0.276467	+	0.0335263i
$463$	−0.372742	+	4.26046i	−0.0173228	+	0.198000i	0.982602	+	0.185724i	$0.0594632\pi$
$463$	−0.372742	+	4.26046i	−0.0173228	+	0.198000i	−0.999925	+	0.0122759i	$0.996092\pi$
$464$	−4.48755	+	34.8250i	−0.208329	+	1.61671i
$465$	3.06006	+	8.40744i	0.141907	+	0.389886i
$466$	26.8805	+	6.24820i	1.24522	+	0.289442i
$467$	6.16323	−	23.0015i	0.285200	−	1.06438i	−0.663492	−	0.748183i	$-0.730926\pi$
$467$	6.16323	−	23.0015i	0.285200	−	1.06438i	0.948693	−	0.316200i	$-0.102407\pi$
$468$	−1.61615	+	8.18365i	−0.0747066	+	0.378289i
$469$	−15.9615	−	13.3933i	−0.737035	−	0.618446i
$470$	4.90640	−	15.0239i	0.226316	−	0.693000i
$471$	4.29792	+	7.44422i	0.198038	+	0.343012i
$472$	−22.9594	+	11.0708i	−1.05679	+	0.509576i
$473$	−7.31585	−	27.3031i	−0.336383	−	1.25540i
$474$	−16.4711	−	2.33998i	−0.756542	−	0.107479i
$475$	−14.0079	+	14.0079i	−0.642726	+	0.642726i
$476$	−7.23662	−	6.32879i	−0.331690	−	0.290079i
$477$	−11.2656	+	1.98644i	−0.515818	+	0.0909527i
$478$	32.5117	+	25.4793i	1.48705	+	1.16540i
$479$	30.6788	−	2.68405i	1.40175	−	0.122637i	0.638938	−	0.769258i	$-0.279374\pi$
$479$	30.6788	−	2.68405i	1.40175	−	0.122637i	0.762812	+	0.646621i	$0.223818\pi$
$480$	6.46979	−	11.0150i	0.295304	−	0.502764i
$481$	0.549685	+	10.1303i	0.0250635	+	0.461902i
$482$	41.6019	−	8.77777i	1.89492	−	0.399817i
$483$	−2.82910	+	0.247514i	−0.128728	+	0.0112623i
$484$	−2.90264	−	1.42647i	−0.131938	−	0.0648396i
$485$	−1.05232	−	5.96799i	−0.0477833	−	0.270992i
$486$	12.7588	+	16.9842i	0.578749	+	0.770420i
$487$	13.0016	−	13.0016i	0.589159	−	0.589159i	−0.348244	−	0.937404i	$-0.613222\pi$
$487$	13.0016	−	13.0016i	0.589159	−	0.589159i	0.937404	+	0.348244i	$0.113222\pi$
$488$	−6.78790	−	24.0793i	−0.307274	−	1.09002i
$489$	0.139144	−	0.0372836i	0.00629233	−	0.00168602i
$490$	14.3452	−	0.479470i	0.648048	−	0.0216603i
$491$	7.48227	+	12.9597i	0.337670	+	0.584861i	0.983994	−	0.178202i	$-0.0570279\pi$
$491$	7.48227	+	12.9597i	0.337670	+	0.584861i	−0.646324	+	0.763063i	$0.723695\pi$
$492$	−13.9246	−	1.50565i	−0.627770	−	0.0678799i
$493$	13.8693	−	16.5288i	0.624643	−	0.744420i
$494$	−8.24416	−	3.51400i	−0.370923	−	0.158102i
$495$	6.33616	−	23.6469i	0.284789	−	1.06285i
$496$	−14.6247	+	6.10486i	−0.656670	+	0.274117i
$497$	−11.2230	+	4.08485i	−0.503422	+	0.183231i
$498$	2.67296	−	2.85782i	0.119778	−	0.128062i
$499$	−2.83790	+	32.4374i	−0.127042	+	1.45210i	0.618578	+	0.785724i	$0.287709\pi$
$499$	−2.83790	+	32.4374i	−0.127042	+	1.45210i	−0.745619	+	0.666372i	$0.767846\pi$
$500$	0.441332	+	1.29428i	0.0197370	+	0.0578820i
$501$	7.24494	−	5.07296i	0.323680	−	0.226643i
$502$	−10.4437	−	16.7692i	−0.466125	−	0.748445i
$503$	−3.30048	+	7.07790i	−0.147161	+	0.315588i	−0.966046	−	0.258369i	$-0.916815\pi$
$503$	−3.30048	+	7.07790i	−0.147161	+	0.315588i	0.818885	+	0.573958i	$0.194593\pi$
$504$	−12.9355	+	4.89900i	−0.576191	+	0.218219i
$505$	−38.0270	−	26.6268i	−1.69218	−	1.18488i
$506$	7.85464	+	4.19146i	0.349181	+	0.186333i
$507$	3.61010	−	6.25287i	0.160330	−	0.277700i
$508$	−8.40114	−	6.14225i	−0.372740	−	0.272518i
$509$	−0.640806	+	3.63419i	−0.0284032	+	0.161083i	−0.995710	−	0.0925251i	$-0.970506\pi$
$509$	−0.640806	+	3.63419i	−0.0284032	+	0.161083i	0.967307	+	0.253608i	$0.0816173\pi$
$510$	−6.99965	+	3.55333i	−0.309950	+	0.157344i
$511$	−12.1713	−	4.42998i	−0.538426	−	0.195971i
$512$	20.0211	+	10.5430i	0.884817	+	0.465939i
$513$	−13.3841	+	6.24112i	−0.590923	+	0.275552i
$514$	−3.61471	−	8.98538i	−0.159438	−	0.396328i
$515$	34.4653	−	28.9198i	1.51872	−	1.27436i
$516$	6.28816	+	11.4246i	0.276821	+	0.502939i
$517$	−10.7114			−0.471085
$518$	−13.7769	+	9.65392i	−0.605321	+	0.424169i
$519$		−	9.51735i		−	0.417766i
$520$	−11.4227	+	9.83996i	−0.500917	+	0.431511i
$521$	−15.2938	−	18.2264i	−0.670033	−	0.798515i	0.318755	−	0.947837i	$-0.396735\pi$
$521$	−15.2938	−	18.2264i	−0.670033	−	0.798515i	−0.988789	+	0.149322i	$0.952291\pi$
$522$	−11.5865	−	28.8015i	−0.507127	−	1.26061i
$523$	−11.1711	−	23.9565i	−0.488478	−	1.04754i	−0.983872	−	0.178876i	$-0.942754\pi$
$523$	−11.1711	−	23.9565i	−0.488478	−	1.04754i	0.495394	−	0.868669i	$-0.335024\pi$
$524$	−20.1555	−	7.80620i	−0.880496	−	0.341015i
$525$	−2.46415	+	6.77021i	−0.107545	+	0.295476i
$526$	−12.3892	−	24.4053i	−0.540195	−	1.06412i
$527$	9.59048	+	1.69106i	0.417768	+	0.0736638i
$528$	−8.45757	−	1.85065i	−0.368068	−	0.0805391i
$529$	−16.2606	−	9.38808i	−0.706984	−	0.408177i
$530$	−18.2407	−	9.73374i	−0.792324	−	0.422807i
$531$	12.9261	−	18.4603i	0.560943	−	0.801110i
$532$	−2.28077	−	14.6843i	−0.0988840	−	0.636645i
$533$	14.9810	+	6.98574i	0.648898	+	0.302586i
$534$	−2.14674	+	1.33698i	−0.0928987	+	0.0578566i
$535$	16.8453	+	24.0576i	0.728288	+	1.04010i
$536$	−15.4053	−	25.9011i	−0.665406	−	1.11876i
$537$	7.79157	+	0.681674i	0.336231	+	0.0294164i
$538$	−17.2668	+	18.4610i	−0.744425	+	0.795909i
$539$	−3.32703	−	9.14093i	−0.143305	−	0.393728i
$540$	−0.507863	+	24.8387i	−0.0218549	+	1.06889i
$541$	−21.4145	−	5.73801i	−0.920682	−	0.246696i	−0.232805	−	0.972523i	$-0.574791\pi$
$541$	−21.4145	−	5.73801i	−0.920682	−	0.246696i	−0.687877	+	0.725827i	$0.741457\pi$
$542$	6.25562	−	14.6763i	0.268702	−	0.630399i
$543$	−8.22786	−	6.90399i	−0.353091	−	0.296279i
$544$	−6.86204	−	12.0933i	−0.294208	−	0.518496i
$545$	17.2988	−	9.98745i	0.740998	−	0.427815i
$546$	−3.25749	+	0.108878i	−0.139408	+	0.00465954i
$547$	11.2266	+	41.8982i	0.480014	+	1.79144i	0.601532	+	0.798849i	$0.294557\pi$
$547$	11.2266	+	41.8982i	0.480014	+	1.79144i	−0.121518	+	0.992589i	$0.538776\pi$
$548$	1.10829	+	16.5608i	0.0473439	+	0.707444i
$549$	15.6406	+	15.6406i	0.667525	+	0.667525i
$550$	18.0587	−	13.5659i	0.770025	−	0.578453i
$551$	32.8458	−	5.79161i	1.39928	−	0.246731i
$552$	−3.98094	−	1.01155i	−0.169440	−	0.0430543i
$553$	2.83757	+	32.4336i	0.120666	+	1.37922i
$554$	−1.96068	+	0.413691i	−0.0833011	+	0.0175761i
$555$	3.11473	+	13.3785i	0.132213	+	0.567887i
$556$	−15.6725	+	6.92176i	−0.664662	+	0.293548i
$557$	−0.359934	−	4.11406i	−0.0152509	−	0.174318i	−1.00000		0.000337659i	$-0.999893\pi$
$557$	−0.359934	−	4.11406i	−0.0152509	−	0.174318i	0.984749	−	0.173981i	$-0.0556630\pi$
$558$	8.64291	−	11.0284i	0.365884	−	0.466869i
$559$	−2.67258	−	15.1569i	−0.113038	−	0.641070i
$560$	−23.8631	−	7.45204i	−1.00840	−	0.314906i
$561$	3.76190	+	3.76190i	0.158827	+	0.158827i
$562$	−22.9192	−	3.25603i	−0.966787	−	0.137347i
$563$	−5.65027	+	1.51399i	−0.238131	+	0.0638069i	−0.375911	−	0.926656i	$-0.622670\pi$
$563$	−5.65027	+	1.51399i	−0.238131	+	0.0638069i	0.137780	+	0.990463i	$0.456003\pi$
$564$	4.79849	−	1.18117i	0.202053	−	0.0497362i
$565$	2.29175	−	1.32314i	0.0964146	−	0.0556650i
$566$	12.6437	+	4.12909i	0.531454	+	0.173559i
$567$	5.97810	−	7.12442i	0.251057	−	0.299198i
$568$	−17.2725	+	0.223999i	−0.724739	+	0.00939879i
$569$	25.0850	+	6.72150i	1.05162	+	0.281780i	0.742920	−	0.669380i	$-0.233440\pi$
$569$	25.0850	+	6.72150i	1.05162	+	0.281780i	0.308698	+	0.951160i	$0.400107\pi$
$570$	−11.8190	−	2.74725i	−0.495043	−	0.115069i
$571$	−13.7889	+	5.01875i	−0.577048	+	0.210028i	−0.614023	−	0.789288i	$-0.710450\pi$
$571$	−13.7889	+	5.01875i	−0.577048	+	0.210028i	0.0369755	+	0.999316i	$0.488228\pi$
$572$	8.74261	+	5.28873i	0.365547	+	0.221133i
$573$	−3.28291	−	0.287217i	−0.137146	−	0.0119987i
$574$	3.29966	+	27.2099i	0.137725	+	1.13572i
$575$	8.77776	−	6.14626i	0.366058	−	0.256317i
$576$	−19.9990	+	0.518803i	−0.833292	+	0.0216168i
$577$	2.36389	+	1.10230i	0.0984102	+	0.0458894i	0.471200	−	0.882026i	$-0.343821\pi$
$577$	2.36389	+	1.10230i	0.0984102	+	0.0458894i	−0.372790	+	0.927916i	$0.621599\pi$
$578$	0.834206	−	15.4749i	0.0346984	−	0.643670i
$579$	−10.6621	−	7.46570i	−0.443103	−	0.310264i
$580$	15.6270	−	53.8891i	0.648876	−	2.23762i
$581$	−6.63184	−	3.82890i	−0.275135	−	0.158849i
$582$	1.41002	−	1.26577i	0.0584472	−	0.0524681i
$583$	−2.43320	+	13.7994i	−0.100773	+	0.571512i
$584$	−14.5056	−	11.8545i	−0.600246	−	0.490544i
$585$	4.55904	−	12.5258i	0.188493	−	0.517880i
$586$	−24.2845	−	15.8222i	−1.00318	−	0.653608i
$587$	20.9977	−	9.79137i	0.866666	−	0.404133i	0.0621519	−	0.998067i	$-0.480204\pi$
$587$	20.9977	−	9.79137i	0.866666	−	0.404133i	0.804514	+	0.593934i	$0.202426\pi$
$588$	2.49844	+	3.72809i	0.103034	+	0.153744i
$589$	9.67604	+	11.5315i	0.398694	+	0.475145i
$590$	38.9687	−	11.8503i	1.60432	−	0.487867i
$591$	14.6298			0.601791
$592$	−23.4160	+	6.60984i	−0.962392	+	0.271663i
$593$	18.6868			0.767373			0.383687	−	0.923463i	$-0.374654\pi$
$593$	18.6868			0.767373			0.383687	+	0.923463i	$0.374654\pi$
$594$	16.1091	−	4.89871i	0.660963	−	0.200996i
$595$	9.87466	+	11.7682i	0.404822	+	0.482448i
$596$	−1.15007	−	1.71609i	−0.0471086	−	0.0702939i
$597$	−17.9198	+	8.35612i	−0.733407	+	0.341993i
$598$	4.06160	+	2.64628i	0.166091	+	0.108214i
$599$	−9.07713	+	24.9392i	−0.370882	+	1.01899i	0.604140	+	0.796878i	$0.293517\pi$
$599$	−9.07713	+	24.9392i	−0.370882	+	1.01899i	−0.975022	+	0.222110i	$0.928705\pi$
$600$	−6.59402	+	8.06866i	−0.269200	+	0.329402i
$601$	−2.34671	+	13.3089i	−0.0957245	+	0.542880i	0.898798	+	0.438362i	$0.144441\pi$
$601$	−2.34671	+	13.3089i	−0.0957245	+	0.542880i	−0.994523	+	0.104518i	$0.966670\pi$
$602$	18.9911	−	17.0483i	0.774019	−	0.694837i
$603$	23.0748	+	13.3223i	0.939680	+	0.542524i
$604$	0.925315	−	3.19091i	0.0376505	−	0.129836i
$605$	4.23350	+	2.96433i	0.172116	+	0.120517i
$606$	0.781332	−	14.4940i	0.0317394	−	0.588780i
$607$	11.3798	+	5.30650i	0.461893	+	0.215384i	0.639613	−	0.768697i	$-0.279095\pi$
$607$	11.3798	+	5.30650i	0.461893	+	0.215384i	−0.177721	+	0.984081i	$0.556872\pi$
$608$	3.89035	−	21.1380i	0.157774	−	0.857258i
$609$	9.93624	−	6.95743i	0.402637	−	0.281929i
$610$	4.81270	+	39.6867i	0.194860	+	1.60687i
$611$	−5.81005	−	0.508314i	−0.235050	−	0.0205642i
$612$	10.5186	+	6.36310i	0.425189	+	0.257213i
$613$	−29.5080	+	10.7401i	−1.19182	+	0.433787i	−0.860362	−	0.509684i	$-0.829762\pi$
$613$	−29.5080	+	10.7401i	−1.19182	+	0.433787i	−0.331457	+	0.943470i	$0.607540\pi$
$614$	−6.79143	−	1.57862i	−0.274080	−	0.0637081i
$615$	21.6181	+	5.79256i	0.871726	+	0.233578i
$616$	0.219707	+	16.9416i	0.00885227	+	0.682596i
$617$	−11.6111	+	13.8376i	−0.467446	+	0.557081i	−0.947333	−	0.320250i	$-0.896233\pi$
$617$	−11.6111	+	13.8376i	−0.467446	+	0.557081i	0.479887	+	0.877330i	$0.340678\pi$
$618$	13.3726	+	4.36712i	0.537923	+	0.175671i
$619$	14.8724	−	8.58661i	0.597774	−	0.345125i	−0.170391	−	0.985376i	$-0.554503\pi$
$619$	14.8724	−	8.58661i	0.597774	−	0.345125i	0.768165	+	0.640251i	$0.221170\pi$
$620$	24.5901	−	6.05296i	0.987564	−	0.243093i
$621$	7.71596	−	2.06748i	0.309631	−	0.0829653i
$622$	32.5269	+	4.62096i	1.30421	+	0.185284i
$623$	3.49969	+	3.49969i	0.140212	+	0.140212i
$624$	−4.49973	−	1.40519i	−0.180133	−	0.0562525i
$625$	4.14751	+	23.5217i	0.165900	+	0.940867i
$626$	−12.1683	+	15.5267i	−0.486341	+	0.620574i
$627$	0.716736	+	8.19233i	0.0286237	+	0.327170i
$628$	22.2562	−	9.82947i	0.888120	−	0.392239i
$629$	14.3061	+	4.34493i	0.570423	+	0.173244i
$630$	21.6270	−	4.56317i	0.861639	−	0.181801i
$631$	0.790196	+	9.03198i	0.0314572	+	0.359558i	0.995567	+	0.0940540i	$0.0299826\pi$
$631$	0.790196	+	9.03198i	0.0314572	+	0.359558i	−0.964110	+	0.265504i	$0.914462\pi$
$632$	−11.5967	+	45.6386i	−0.461290	+	1.81540i
$633$	7.77969	−	1.37177i	0.309215	−	0.0545229i
$634$	15.1942	−	11.4141i	0.603438	−	0.453310i
$635$	11.7592	+	11.7592i	0.466651	+	0.466651i
$636$	−0.431663	−	6.45019i	−0.0171165	−	0.255767i
$637$	−1.37086	−	5.11611i	−0.0543153	−	0.202708i
$638$	−38.0056	+	1.27030i	−1.50466	+	0.0502915i
$639$	13.2264	−	7.63628i	0.523229	−	0.302087i
$640$	−29.0282	−	21.5580i	−1.14744	−	0.852154i
$641$	16.4163	+	13.7749i	0.648405	+	0.544076i	0.906586	−	0.422020i	$-0.138679\pi$
$641$	16.4163	+	13.7749i	0.648405	+	0.544076i	−0.258182	+	0.966096i	$0.583123\pi$
$642$	−3.60068	+	8.44753i	−0.142108	+	0.333398i
$643$	−44.5112	−	11.9267i	−1.75535	−	0.470345i	−0.769595	−	0.638533i	$-0.779542\pi$
$643$	−44.5112	−	11.9267i	−1.75535	−	0.470345i	−0.985755	+	0.168188i	$0.946208\pi$
$644$	−0.164319	+	8.03656i	−0.00647509	+	0.316685i
$645$	−7.12724	−	19.5819i	−0.280635	−	0.771038i
$646$	−9.02186	+	9.64581i	−0.354960	+	0.379509i
$647$	−14.3489	−	1.25537i	−0.564114	−	0.0493536i	−0.198468	−	0.980107i	$-0.563596\pi$
$647$	−14.3489	−	1.25537i	−0.564114	−	0.0493536i	−0.365646	+	0.930754i	$0.619152\pi$
$648$	11.5610	−	6.87613i	0.454157	−	0.270120i
$649$	−15.8332	−	22.6122i	−0.621509	−	0.887607i
$650$	10.4392	−	6.50144i	0.409458	−	0.255007i
$651$	4.96175	+	2.31370i	0.194466	+	0.0906811i
$652$	−0.0625794	−	0.402905i	−0.00245080	−	0.0157790i
$653$	19.1144	−	27.2981i	0.748003	−	1.06826i	−0.247059	−	0.969000i	$-0.579464\pi$
$653$	19.1144	−	27.2981i	0.748003	−	1.06826i	0.995062	−	0.0992584i	$-0.0316470\pi$
$654$	5.51017	+	2.94039i	0.215465	+	0.114978i
$655$	29.9116	+	17.2695i	1.16874	+	0.674774i
$656$	−8.47396	+	38.7265i	−0.330853	+	1.51202i
$657$	16.3113	+	2.87613i	0.636365	+	0.112208i
$658$	−4.37762	−	8.62342i	−0.170657	−	0.336176i
$659$	−11.7770	+	32.3570i	−0.458767	+	1.26045i	0.467637	+	0.883920i	$0.345105\pi$
$659$	−11.7770	+	32.3570i	−0.458767	+	1.26045i	−0.926404	+	0.376531i	$0.877117\pi$
$660$	12.9009	+	4.99649i	0.502166	+	0.194488i
$661$	3.07409	+	6.59240i	0.119568	+	0.256415i	0.956978	−	0.290161i	$-0.0937088\pi$
$661$	3.07409	+	6.59240i	0.119568	+	0.256415i	−0.837410	+	0.546576i	$0.815931\pi$
$662$	13.8119	+	34.3332i	0.536813	+	1.33440i
$663$	1.86201	+	2.21905i	0.0723143	+	0.0861809i
$664$	−7.22874	−	8.39144i	−0.280530	−	0.325651i
$665$			23.7463i			0.920842i
$666$	15.2059	−	15.2166i	0.589217	−	0.589633i
$667$	−18.0410			−0.698550
$668$	−12.0711	−	21.9313i	−0.467045	−	0.848547i
$669$	−12.1387	+	10.1856i	−0.469308	+	0.393796i
$670$	17.9730	+	44.6768i	0.694356	+	1.72602i
$671$	24.5555	−	11.4504i	0.947953	−	0.442038i
$672$	−1.96662	−	7.56530i	−0.0758640	−	0.291838i
$673$	10.2397	+	3.72695i	0.394711	+	0.143663i	0.531748	−	0.846903i	$-0.321535\pi$
$673$	10.2397	+	3.72695i	0.394711	+	0.143663i	−0.137036	+	0.990566i	$0.543758\pi$
$674$	−37.1639	+	18.8660i	−1.43150	+	0.726692i
$675$	3.51907	−	19.9577i	0.135449	−	0.768171i
$676$	−16.4975	−	12.0616i	−0.634518	−	0.463909i
$677$	−7.68808	+	13.3161i	−0.295477	+	0.511781i	−0.975096	−	0.221785i	$-0.928812\pi$
$677$	−7.68808	+	13.3161i	−0.295477	+	0.511781i	0.679619	+	0.733565i	$0.262145\pi$
$678$	0.729990	+	0.389544i	0.0280351	+	0.0149603i
$679$	−3.03754	−	2.12691i	−0.116570	−	0.0816232i
$680$	7.86941	+	20.7786i	0.301778	+	0.796824i
$681$	−6.69111	+	14.3491i	−0.256404	+	0.549860i
$682$	−9.07320	−	14.5686i	−0.347431	−	0.557860i
$683$	−6.48354	+	4.53982i	−0.248086	+	0.173711i	−0.691005	−	0.722850i	$-0.742832\pi$
$683$	−6.48354	+	4.53982i	−0.248086	+	0.173711i	0.442919	+	0.896562i	$0.353943\pi$
$684$	6.13293	+	17.9859i	0.234499	+	0.687707i
$685$	2.31161	−	26.4219i	0.0883222	−	1.00953i
$686$	19.2236	−	20.5531i	0.733960	−	0.784720i
$687$	18.5457	−	6.75010i	0.707564	−	0.257532i
$688$	34.0627	−	14.2190i	1.29863	−	0.542093i
$689$	−1.97468	+	7.36960i	−0.0752292	+	0.280759i
$690$	6.03793	+	2.57361i	0.229860	+	0.0979757i
$691$	−25.2767	+	30.1236i	−0.961571	+	1.14596i	0.0276637	+	0.999617i	$0.491193\pi$
$691$	−25.2767	+	30.1236i	−0.961571	+	1.14596i	−0.989235	+	0.146338i	$0.953251\pi$
$692$	−26.7824	−	2.89594i	−1.01811	−	0.110087i
$693$	−7.48998	−	12.9730i	−0.284521	−	0.492804i
$694$	−3.42995	+	0.114642i	−0.130199	+	0.00435176i
$695$	26.4449	−	7.08590i	1.00311	−	0.268783i
$696$	16.8858	−	4.76005i	0.640053	−	0.180429i
$697$	17.2254	−	17.2254i	0.652460	−	0.652460i
$698$	−8.08505	−	10.7627i	−0.306024	−	0.407373i
$699$	−2.39438	−	13.5792i	−0.0905636	−	0.513612i
$700$	18.3020	+	8.99431i	0.691749	+	0.339953i
$701$	−17.9560	+	1.57095i	−0.678190	+	0.0593339i	−0.421046	−	0.907039i	$-0.638337\pi$
$701$	−17.9560	+	1.57095i	−0.678190	+	0.0593339i	−0.257144	+	0.966373i	$0.582781\pi$
$702$	8.97035	−	1.89269i	0.338564	−	0.0714351i
$703$	12.6231	+	19.3594i	0.476088	+	0.730153i
$704$	−7.78129	+	23.2370i	−0.293269	+	0.875776i
$705$	−7.86665	+	0.688243i	−0.296275	+	0.0259207i
$706$	10.0824	+	7.90157i	0.379458	+	0.297379i
$707$	−27.9744	+	4.93263i	−1.05208	+	0.185511i
$708$	9.58652	+	8.38389i	0.360283	+	0.315086i
$709$	12.7818	−	12.7818i	0.480029	−	0.480029i	−0.425112	−	0.905141i	$-0.639765\pi$
$709$	12.7818	−	12.7818i	0.480029	−	0.480029i	0.905141	+	0.425112i	$0.139765\pi$
$710$	27.3287	+	3.88248i	1.02563	+	0.145707i
$711$	−10.7754	−	40.2144i	−0.404110	−	1.50816i
$712$	3.10911	+	6.44787i	0.116519	+	0.241644i
$713$	−4.07129	−	7.05168i	−0.152471	−	0.264088i
$714$	−1.49115	+	4.56605i	−0.0558049	+	0.170880i
$715$	−12.5077	−	10.4952i	−0.467763	−	0.392500i
$716$	4.28909	−	21.7185i	0.160291	−	0.811659i
$717$	5.34158	−	19.9350i	0.199485	−	0.744488i
$718$	9.72738	+	2.26107i	0.363023	+	0.0843823i
$719$	−16.9892	−	46.6776i	−0.633592	−	1.74078i	−0.670976	−	0.741479i	$-0.734125\pi$
$719$	−16.9892	−	46.6776i	−0.633592	−	1.74078i	0.0373842	−	0.999301i	$-0.488097\pi$
$720$	31.7063	+	4.08567i	1.18162	+	0.152264i
$721$	2.39941	−	27.4254i	0.0893588	−	1.02138i
$722$	6.40768	−	0.777041i	0.238469	−	0.0289185i
$723$	−12.1849	−	17.4018i	−0.453160	−	0.647180i
$724$	−21.9318	+	21.0529i	−0.815089	+	0.782425i
$725$	−19.3429	+	41.4809i	−0.718377	+	1.54056i
$726$	−0.0869847	+	1.61360i	−0.00322831	+	0.0598864i
$727$	2.72373	−	3.88989i	0.101017	−	0.144268i	−0.765461	−	0.643482i	$-0.777489\pi$
$727$	2.72373	−	3.88989i	0.101017	−	0.144268i	0.866479	+	0.499214i	$0.166378\pi$
$728$	−0.684800	+	9.19989i	−0.0253804	+	0.340971i
$729$	−1.82677	+	3.16406i	−0.0676582	+	0.117187i
$730$	19.9974	+	22.2762i	0.740136	+	0.824480i
$731$	−22.3374	−	3.93868i	−0.826178	−	0.145677i
$732$	−9.73774	+	7.83737i	−0.359917	+	0.289677i
$733$	24.5312	+	8.92863i	0.906081	+	0.329786i	0.752687	−	0.658379i	$-0.228757\pi$
$733$	24.5312	+	8.92863i	0.906081	+	0.329786i	0.153394	+	0.988165i	$0.450980\pi$
$734$	−40.3248	−	26.2731i	−1.48842	−	0.969756i
$735$	−3.03078	−	6.49952i	−0.111792	−	0.239738i
$736$	−4.05787	+	10.8948i	−0.149575	+	0.401587i
$737$	25.0015	−	20.9787i	0.920941	−	0.772761i
$738$	−10.1974	−	33.5335i	−0.375372	−	1.23438i
$739$			6.30834i			0.232056i	0.993246	+	0.116028i	$0.0370162\pi$
$739$			6.30834i			0.232056i	−0.993246	+	0.116028i	$0.962984\pi$
$740$	38.5957	−	4.69422i	1.41881	−	0.172563i
$741$			4.47770i			0.164492i
$742$	−12.1039	+	3.68076i	−0.444349	+	0.135125i
$743$	−32.5631	+	27.3237i	−1.19463	+	1.00241i	−0.194858	+	0.980831i	$0.562425\pi$
$743$	−32.5631	+	27.3237i	−1.19463	+	1.00241i	−0.999767	+	0.0215786i	$0.993131\pi$
$744$	5.67115	+	5.52594i	0.207914	+	0.202591i
$745$	1.39511	+	2.99182i	0.0511128	+	0.109612i
$746$	−2.01195	+	3.08802i	−0.0736628	+	0.113060i
$747$	9.20188	+	3.34921i	0.336679	+	0.122541i
$748$	11.7309	−	9.44153i	0.428923	−	0.345216i
$749$	17.6979	+	3.12061i	0.646666	+	0.114025i
$750$	0.508427	−	0.456416i	0.0185651	−	0.0166659i
$751$	11.6299	−	20.1436i	0.424381	−	0.735050i	−0.571981	−	0.820267i	$-0.693825\pi$
$751$	11.6299	−	20.1436i	0.424381	−	0.735050i	0.996362	+	0.0852166i	$0.0271582\pi$
$752$	−1.86379	−	13.8626i	−0.0679655	−	0.505518i
$753$	−5.66155	+	8.08553i	−0.206318	+	0.294653i
$754$	−20.6753	−	1.11455i	−0.752950	−	0.0405894i
$755$	−2.24369	+	4.81161i	−0.0816562	+	0.175112i
$756$	10.5274	+	10.9669i	0.382879	+	0.398863i
$757$	23.4528	+	33.4941i	0.852408	+	1.21736i	0.974397	+	0.224833i	$0.0721836\pi$
$757$	23.4528	+	33.4941i	0.852408	+	1.21736i	−0.121990	+	0.992531i	$0.538927\pi$
$758$	4.03587	+	33.2808i	0.146589	+	1.20881i
$759$	0.387696	−	4.43138i	0.0140725	−	0.160849i
$760$	−11.3272	+	32.4233i	−0.410880	+	1.17612i
$761$	−3.07826	−	8.45744i	−0.111587	−	0.306582i	0.871312	−	0.490730i	$-0.163270\pi$
$761$	−3.07826	−	8.45744i	−0.111587	−	0.306582i	−0.982899	+	0.184148i	$0.941048\pi$
$762$	−1.17727	+	5.06476i	−0.0426480	+	0.183477i
$763$	3.16346	−	11.8062i	0.114525	−	0.427412i
$764$	−1.80717	+	9.15090i	−0.0653811	+	0.331068i
$765$	−15.0486	−	12.6273i	−0.544083	−	0.456540i
$766$	0.392629	+	0.128222i	0.0141863	+	0.00463285i
$767$	−7.51520	−	13.0167i	−0.271358	−	0.470006i
$768$	0.923478	−	11.2678i	0.0333232	−	0.406592i
$769$	1.98608	+	7.41215i	0.0716199	+	0.267289i	0.992446	−	0.122685i	$-0.0391505\pi$
$769$	1.98608	+	7.41215i	0.0716199	+	0.267289i	−0.920826	+	0.389974i	$0.872484\pi$
$770$	3.80810	−	26.8052i	0.137234	−	0.965991i
$771$	−3.42178	+	3.42178i	−0.123232	+	0.123232i
$772$	−24.2532	+	27.7322i	−0.872891	+	0.998103i
$773$	−4.34263	+	0.765723i	−0.156194	+	0.0275412i	−0.251198	−	0.967936i	$-0.580825\pi$
$773$	−4.34263	+	0.765723i	−0.156194	+	0.0275412i	0.0950045	+	0.995477i	$0.469713\pi$
$774$	−20.1304	+	25.6864i	−0.723571	+	0.923280i
$775$	−20.5787	+	1.80041i	−0.739210	+	0.0646725i
$776$	−3.13292	−	4.35302i	−0.112465	−	0.156264i
$777$	7.13629	+	4.44093i	0.256013	+	0.159317i
$778$	5.15732	+	24.4429i	0.184899	+	0.876321i
$779$	37.5120	−	3.28188i	1.34401	−	0.117585i
$780$	6.76058	+	3.32242i	0.242068	+	0.118962i
$781$	−3.24852	−	18.4233i	−0.116241	−	0.659237i
$782$	5.71198	−	4.29091i	0.204260	−	0.153443i
$783$	−24.1260	+	24.1260i	−0.862191	+	0.862191i
$784$	11.2513	−	5.89637i	0.401832	−	0.210585i
$785$	−37.5540	+	10.0626i	−1.34036	+	0.359148i
$786$	0.360757	+	10.7934i	0.0128678	+	0.384987i
$787$	−6.32632	−	10.9575i	−0.225509	−	0.390593i	0.730963	−	0.682417i	$-0.239071\pi$
$787$	−6.32632	−	10.9575i	−0.225509	−	0.390593i	−0.956472	+	0.291824i	$0.905738\pi$
$788$	4.45156	−	41.1692i	0.158580	−	1.46659i
$789$	−8.79021	+	10.4758i	−0.312940	+	0.372947i
$790$	29.5046	−	69.2205i	1.04973	−	2.46275i
$791$	0.419096	−	1.56409i	0.0149013	−	0.0556125i
$792$	−4.03862	−	21.2862i	−0.143506	−	0.756373i
$793$	13.8628	−	5.04563i	0.492281	−	0.179176i
$794$	5.55310	+	5.19389i	0.197072	+	0.184324i
$795$	−0.900338	+	10.2909i	−0.0319317	+	0.364981i
$796$	18.0620	+	52.9698i	0.640190	+	1.87747i
$797$	−33.6944	+	23.5931i	−1.19352	+	0.835709i	−0.989680	−	0.143296i	$-0.954230\pi$
$797$	−33.6944	+	23.5931i	−1.19352	+	0.835709i	−0.203836	+	0.979005i	$0.565341\pi$
$798$	−6.30250	+	3.92515i	−0.223106	+	0.138949i
$799$	−3.63249	+	7.78991i	−0.128508	+	0.275587i
$800$	20.6993	+	21.0111i	0.731829	+	0.742854i
$801$	−5.18437	−	3.63013i	−0.183181	−	0.128264i
$802$	−9.01907	+	16.9014i	−0.318474	+	0.596809i
$803$	10.1440	−	17.5700i	0.357976	−	0.620032i
$804$	−8.88683	+	12.1551i	−0.313414	+	0.428676i
$805$	2.23048	−	12.6497i	0.0786140	−	0.445842i
$806$	−4.23013	−	8.33287i	−0.149000	−	0.293513i
$807$	11.8680	+	4.31960i	0.417773	+	0.152057i
$808$	−40.5493	−	6.60896i	−1.42652	−	0.232502i
$809$	−39.9500	+	18.6290i	−1.40457	+	0.654960i	−0.969422	−	0.245400i	$-0.921081\pi$
$809$	−39.9500	+	18.6290i	−1.40457	+	0.654960i	−0.435145	+	0.900361i	$0.643303\pi$
$810$	−19.9415	+	8.02222i	−0.700673	+	0.281872i
$811$	31.4297	−	26.3727i	1.10365	−	0.926069i	0.105981	−	0.994368i	$-0.466202\pi$
$811$	31.4297	−	26.3727i	1.10365	−	0.926069i	0.997665	+	0.0682991i	$0.0217572\pi$
$812$	−16.5552	−	30.0781i	−0.580974	−	1.05554i
$813$	−7.97120			−0.279562
$814$	−11.1445	−	23.8775i	−0.390615	−	0.836905i
$815$			0.651547i			0.0228227i
$816$	−4.21407	+	5.52323i	−0.147522	+	0.193352i
$817$	−22.5367	−	26.8581i	−0.788458	−	0.939648i
$818$	−20.8429	+	8.38486i	−0.728756	+	0.293170i
$819$	−3.44707	−	7.39227i	−0.120450	−	0.258307i
$820$	22.8785	−	59.0720i	0.798953	−	2.06289i
$821$	−17.6187	+	48.4069i	−0.614895	+	1.68941i	0.104249	+	0.994551i	$0.466756\pi$
$821$	−17.6187	+	48.4069i	−0.614895	+	1.68941i	−0.719145	+	0.694860i	$0.755466\pi$
$822$	7.39472	−	3.75388i	0.257920	−	0.130932i
$823$	−18.6655	−	3.29123i	−0.650639	−	0.114725i	−0.161420	−	0.986886i	$-0.551607\pi$
$823$	−18.6655	−	3.29123i	−0.650639	−	0.114725i	−0.489220	+	0.872161i	$0.662718\pi$
$824$	16.3583	−	36.3023i	0.569869	−	1.26465i
$825$	−9.77322	−	5.64257i	−0.340260	−	0.196449i
$826$	11.7336	−	21.9883i	0.408264	−	0.765071i
$827$	3.85227	−	5.50161i	0.133956	−	0.191310i	−0.746570	−	0.665307i	$-0.768301\pi$
$827$	3.85227	−	5.50161i	0.133956	−	0.191310i	0.880526	+	0.473998i	$0.157189\pi$
$828$	−1.57761	−	10.1572i	−0.0548259	−	0.352985i
$829$	−35.4294	−	16.5210i	−1.23051	−	0.573798i	−0.304943	−	0.952371i	$-0.598637\pi$
$829$	−35.4294	−	16.5210i	−1.23051	−	0.573798i	−0.925572	+	0.378572i	$0.876415\pi$
$830$	9.35635	+	15.0232i	0.324764	+	0.521464i
$831$	0.574266	+	0.820137i	0.0199211	+	0.0284502i
$832$	−5.32346	+	12.2349i	−0.184558	+	0.424170i
$833$	−7.77608	−	0.680319i	−0.269425	−	0.0235717i
$834$	6.25189	+	5.84748i	0.216485	+	0.202482i
$835$	13.6819	+	37.5906i	0.473481	+	1.30088i
$836$	23.2718	+	0.475826i	0.804871	+	0.0164568i
$837$	−14.8746	−	3.98563i	−0.514141	−	0.137764i
$838$	17.0954	+	7.28674i	0.590550	+	0.251716i
$839$	22.0114	+	18.4698i	0.759919	+	0.637648i	0.938106	−	0.346349i	$-0.112579\pi$
$839$	22.0114	+	18.4698i	0.759919	+	0.637648i	−0.178187	+	0.983997i	$0.557023\pi$
$840$	1.24992	+	12.4282i	0.0431262	+	0.428812i
$841$	41.6189	−	24.0287i	1.43513	−	0.828575i
$842$	−0.251866	−	7.53551i	−0.00867987	−	0.259691i
$843$	2.99359	+	11.1722i	0.103105	+	0.384792i
$844$	−1.49303	−	22.3099i	−0.0513923	−	0.767938i
$845$	23.0918	+	23.0918i	0.794382	+	0.794382i
$846$	7.42772	+	9.88764i	0.255370	+	0.339944i
$847$	3.11435	−	0.549144i	0.107010	−	0.0188688i
$848$	−18.2826	−	0.747940i	−0.627825	−	0.0256844i
$849$	−0.579206	−	6.62035i	−0.0198783	−	0.227210i
$850$	−3.74175	−	17.7339i	−0.128341	−	0.608267i
$851$	−4.90590	−	11.4984i	−0.168172	−	0.394161i
$852$	3.48686	+	7.89507i	0.119458	+	0.270481i
$853$	1.57064	+	17.9525i	0.0537778	+	0.614683i	0.974489	+	0.224437i	$0.0720544\pi$
$853$	1.57064	+	17.9525i	0.0537778	+	0.614683i	−0.920711	+	0.390246i	$0.872390\pi$
$854$	19.2540	+	15.0893i	0.658857	+	0.516344i
$855$	−5.27295	−	29.9044i	−0.180331	−	1.02271i
$856$	22.6762	+	12.7029i	0.775057	+	0.434177i
$857$	−38.8797	−	38.8797i	−1.32811	−	1.32811i	−0.907021	−	0.421086i	$-0.861649\pi$
$857$	−38.8797	−	38.8797i	−1.32811	−	1.32811i	−0.421086	−	0.907021i	$-0.638351\pi$
$858$	0.718071	−	5.05449i	0.0245145	−	0.172557i
$859$	42.6552	−	11.4294i	1.45538	−	0.389967i	0.557486	−	0.830186i	$-0.311766\pi$
$859$	42.6552	−	11.4294i	1.45538	−	0.389967i	0.897890	+	0.440220i	$0.145099\pi$
$860$	−57.2734	+	14.0981i	−1.95301	+	0.480740i
$861$	11.8600	−	6.84738i	0.404188	−	0.233358i
$862$	−10.7641	+	32.9606i	−0.366625	+	1.12264i
$863$	−15.9371	+	18.9931i	−0.542504	+	0.646532i	−0.965747	−	0.259485i	$-0.916447\pi$
$863$	−15.9371	+	18.9931i	−0.542504	+	0.646532i	0.423243	+	0.906016i	$0.360892\pi$
$864$	9.14291	+	19.9960i	0.311048	+	0.680276i
$865$	41.5799	+	11.1413i	1.41376	+	0.378816i
$866$	3.14609	−	13.5348i	0.106908	−	0.459932i
$867$	−7.27614	+	2.64830i	−0.247111	+	0.0899409i
$868$	8.02064	−	13.2586i	0.272238	−	0.450027i
$869$	−50.8026	−	4.44465i	−1.72336	−	0.150774i
$870$	−27.8305	+	3.37493i	−0.943544	+	0.114421i
$871$	14.5569	−	10.1928i	0.493240	−	0.345371i
$872$	9.95105	−	14.6112i	0.336985	−	0.494799i
$873$	4.29754	+	2.00398i	0.145450	+	0.0678244i
$874$	11.0271	+	0.594438i	0.372996	+	0.0201072i
$875$	−1.09528	−	0.766924i	−0.0370273	−	0.0259268i
$876$	−2.60686	+	8.98966i	−0.0880776	+	0.303732i
$877$	−32.2823	−	18.6382i	−1.09010	−	0.629367i	−0.156494	−	0.987679i	$-0.550019\pi$
$877$	−32.2823	−	18.6382i	−1.09010	−	0.629367i	−0.933602	+	0.358312i	$0.883353\pi$
$878$	−1.41791	−	1.57949i	−0.0478522	−	0.0533053i
$879$	−2.51471	+	14.2616i	−0.0848190	+	0.481032i
$880$	17.9859	−	34.7834i	0.606304	−	1.17255i
$881$	−17.7393	+	48.7383i	−0.597652	+	1.64203i	0.158288	+	0.987393i	$0.449403\pi$
$881$	−17.7393	+	48.7383i	−0.597652	+	1.64203i	−0.755940	+	0.654641i	$0.772820\pi$
$882$	−6.13088	+	9.40990i	−0.206437	+	0.316848i
$883$	20.8217	−	9.70930i	0.700705	−	0.326744i	−0.0394114	−	0.999223i	$-0.512548\pi$
$883$	20.8217	−	9.70930i	0.700705	−	0.326744i	0.740116	+	0.672479i	$0.234771\pi$
$884$	6.81111	−	4.56458i	0.229082	−	0.153523i
$885$	−13.0812	−	15.5896i	−0.439720	−	0.524037i
$886$	−11.6449	−	38.2935i	−0.391219	−	1.28649i
$887$	−52.7320			−1.77057			−0.885284	−	0.465051i	$-0.846036\pi$
$887$	−52.7320			−1.77057			−0.885284	+	0.465051i	$0.846036\pi$
$888$	7.62557	+	9.46774i	0.255898	+	0.317717i
$889$	10.1759			0.341290
$890$	−3.32800	−	10.9439i	−0.111555	−	0.366841i
$891$	9.36385	+	11.1594i	0.313701	+	0.373854i
$892$	24.9692	+	37.2582i	0.836030	+	1.24750i
$893$	−12.0413	+	5.61495i	−0.402947	+	0.187897i
$894$	−0.563454	+	0.864809i	−0.0188447	+	0.0289235i
$895$	−12.0992	+	33.2422i	−0.404431	+	1.11117i
$896$	−21.8876	+	3.23221i	−0.731213	+	0.107980i
$897$	0.420588	−	2.38527i	0.0140430	−	0.0796419i
$898$	34.5654	+	38.5044i	1.15346	+	1.28491i
$899$	30.1194	+	17.3894i	1.00454	+	0.579970i
$900$	−25.0454	−	7.26277i	−0.834846	−	0.242092i
$901$	9.21054	+	6.44929i	0.306848	+	0.214857i
$902$	−42.8704	−	2.31102i	−1.42743	−	0.0769486i
$903$	−11.5565	−	5.38888i	−0.384576	−	0.179331i
$904$	1.31832	−	1.93570i	0.0438467	−	0.0643805i
$905$	39.7943	−	27.8643i	1.32281	−	0.926240i
$906$	−1.64792	+	0.199838i	−0.0547484	+	0.00663918i
$907$	−16.9292	−	1.48111i	−0.562125	−	0.0491796i	−0.197448	−	0.980313i	$-0.563265\pi$
$907$	−16.9292	−	1.48111i	−0.562125	−	0.0491796i	−0.364678	+	0.931134i	$0.618821\pi$
$908$	38.3433	+	23.1953i	1.27247	+	0.769763i
$909$	34.1336	−	12.4236i	1.13214	−	0.412065i
$910$	3.33764	−	14.3589i	0.110642	−	0.475994i
$911$	−37.0637	−	9.93119i	−1.22798	−	0.329035i	−0.414185	−	0.910193i	$-0.635933\pi$
$911$	−37.0637	−	9.93119i	−1.22798	−	0.329035i	−0.813791	+	0.581158i	$0.802600\pi$
$912$	−10.4778	+	2.35308i	−0.346955	+	0.0779182i
$913$	7.71014	−	9.18858i	0.255168	−	0.304098i
$914$	12.4660	−	38.1720i	0.412338	−	1.26262i
$915$	17.2983	−	9.98720i	0.571865	−	0.330167i
$916$	−13.3521	−	54.2427i	−0.441165	−	1.79223i
$917$	20.4142	−	5.46998i	0.674138	−	0.180635i
$918$	1.90037	−	13.3767i	0.0627216	−	0.441497i
$919$	−20.3497	−	20.3497i	−0.671274	−	0.671274i	0.286736	−	0.958010i	$-0.407430\pi$
$919$	−20.3497	−	20.3497i	−0.671274	−	0.671274i	−0.958010	+	0.286736i	$0.907430\pi$
$920$	9.07951	−	16.2080i	0.299342	−	0.534361i
$921$	0.604945	+	3.43081i	0.0199336	+	0.113049i
$922$	−19.5012	−	15.2830i	−0.642239	−	0.503320i
$923$	−0.887775	−	10.1473i	−0.0292215	−	0.334003i
$924$	7.74381	−	3.42006i	0.254753	−	0.112512i
$925$	−31.6978	−	1.04825i	−1.04222	−	0.0344664i
$926$	−1.24865	−	5.91792i	−0.0410331	−	0.194475i
$927$	3.06826	+	35.0704i	0.100775	+	1.15186i
$928$	−8.25705	−	48.9659i	−0.271051	−	1.60738i
$929$	−4.35769	+	0.768378i	−0.142971	+	0.0252097i	−0.244676	−	0.969605i	$-0.578681\pi$
$929$	−4.35769	+	0.768378i	−0.142971	+	0.0252097i	0.101704	+	0.994815i	$0.467570\pi$
$930$	−7.59964	−	10.1165i	−0.249202	−	0.331733i
$931$	−8.53184	−	8.53184i	−0.279620	−	0.279620i
$932$	−38.9411	+	2.60604i	−1.27556	+	0.0853636i
$933$	−4.24850	−	15.8556i	−0.139090	−	0.519090i
$934$	1.12497	+	33.6577i	0.0368102	+	1.10132i
$935$	−20.8390	+	12.0314i	−0.681507	+	0.393468i
$936$	−1.18048	−	11.7377i	−0.0385852	−	0.383660i
$937$	−39.1351	−	32.8383i	−1.27849	−	1.07278i	−0.993450	−	0.114263i	$-0.963549\pi$
$937$	−39.1351	−	32.8383i	−1.27849	−	1.07278i	−0.285038	−	0.958516i	$-0.592006\pi$
$938$	27.1072	+	11.5542i	0.885083	+	0.377258i
$939$	9.52046	+	2.55100i	0.310689	+	0.0832488i
$940$	−0.456909	+	22.3466i	−0.0149027	+	0.728866i
$941$	7.61521	+	20.9226i	0.248249	+	0.682057i	0.999751	+	0.0223268i	$0.00710742\pi$
$941$	7.61521	+	20.9226i	0.248249	+	0.682057i	−0.751502	+	0.659731i	$0.770670\pi$
$942$	−8.87819	−	8.30390i	−0.289267	−	0.270556i
$943$	−20.2909	−	1.77523i	−0.660764	−	0.0578094i
$944$	26.5097	−	24.4260i	0.862818	−	0.794997i
$945$	−13.9334	−	19.8990i	−0.453254	−	0.647314i
$946$	21.1326	+	33.9320i	0.687079	+	1.10322i
$947$	−44.7836	−	20.8829i	−1.45527	−	0.678603i	−0.475682	−	0.879618i	$-0.657799\pi$
$947$	−44.7836	−	20.8829i	−1.45527	−	0.678603i	−0.979588	+	0.201014i	$0.935576\pi$
$948$	23.2488	−	3.61101i	0.755085	−	0.117280i
$949$	6.33613	−	9.04893i	0.205680	−	0.293741i
$950$	13.1896	−	24.7168i	0.427926	−	0.801918i
$951$	−8.22297	−	4.74753i	−0.266648	−	0.153949i
$952$	12.3954	+	5.58554i	0.401737	+	0.181029i
$953$	−26.1741	−	4.61520i	−0.847862	−	0.149501i	−0.267195	−	0.963642i	$-0.586097\pi$
$953$	−26.1741	−	4.61520i	−0.847862	−	0.149501i	−0.580666	+	0.814142i	$0.697208\pi$
$954$	14.4255	−	7.32301i	0.467043	−	0.237091i
$955$	5.09789	−	14.0063i	0.164964	−	0.453234i
$956$	−54.4730	−	21.0973i	−1.76178	−	0.682337i
$957$	8.02965	+	17.2196i	0.259562	+	0.556632i
$958$	−40.4051	+	16.2545i	−1.30543	+	0.525159i
$959$	−10.4320	−	12.4324i	−0.336867	−	0.401462i
$960$	−4.22169	+	17.5657i	−0.136255	+	0.566931i
$961$		−	15.3030i		−	0.493645i
$962$	−4.91189	−	13.4805i	−0.158366	−	0.434629i
$963$	−22.9804			−0.740532
$964$	−52.6773	+	28.9939i	−1.69662	+	0.933831i
$965$	45.0980	−	37.8417i	1.45176	−	1.21817i
$966$	3.72603	−	1.49894i	0.119883	−	0.0482275i
$967$	−27.7486	+	12.9394i	−0.892334	+	0.416102i	−0.814027	−	0.580827i	$-0.802729\pi$
$967$	−27.7486	+	12.9394i	−0.892334	+	0.416102i	−0.0783068	+	0.996929i	$0.524951\pi$
$968$	4.51430	+	0.735767i	0.145095	+	0.0236484i
$969$	6.20099	+	2.25698i	0.199205	+	0.0725046i
$970$	3.87937	+	7.64192i	0.124559	+	0.245367i
$971$	−5.52065	+	31.3091i	−0.177166	+	1.00476i	0.758448	+	0.651733i	$0.225958\pi$
$971$	−5.52065	+	31.3091i	−0.177166	+	1.00476i	−0.935614	+	0.353025i	$0.885153\pi$
$972$	−24.2513	−	17.7306i	−0.777860	−	0.568710i
$973$	8.37624	−	14.5081i	0.268530	−	0.465108i
$974$	−12.2421	+	22.9412i	−0.392262	+	0.735084i
$975$	−5.03342	−	3.52444i	−0.161199	−	0.112872i
$976$	19.0918	+	29.7873i	0.611113	+	0.953468i
$977$	−0.770582	+	1.65252i	−0.0246531	+	0.0528688i	−0.918249	−	0.396004i	$-0.870397\pi$
$977$	−0.770582	+	1.65252i	−0.0246531	+	0.0528688i	0.893596	+	0.448873i	$0.148174\pi$
$978$	−0.172927	+	0.107698i	−0.00552959	+	0.00344379i
$979$	−6.35038	+	4.44658i	−0.202959	+	0.142113i
$980$	−19.2122	+	6.55110i	−0.613712	+	0.209267i
$981$	−1.36223	+	15.5703i	−0.0434925	+	0.497122i
$982$	−15.4561	−	14.4563i	−0.493223	−	0.461319i
$983$	21.2849	−	7.74707i	0.678883	−	0.247093i	0.0205149	−	0.999790i	$-0.493469\pi$
$983$	21.2849	−	7.74707i	0.678883	−	0.247093i	0.658368	+	0.752696i	$0.271247\pi$
$984$	19.4600	−	3.69214i	0.620362	−	0.117701i
$985$	−17.1261	+	63.9156i	−0.545684	+	2.03652i
$986$	−11.9649	+	28.0707i	−0.381039	+	0.893952i
$987$	−3.10595	+	3.70152i	−0.0988633	+	0.117821i
$988$	12.6005	+	1.36247i	0.400875	+	0.0433461i
$989$	9.48252	+	16.4242i	0.301527	+	0.522259i
$990$	1.15654	+	34.6021i	0.0367571	+	1.09973i
$991$	−19.1094	+	5.12035i	−0.607031	+	0.162653i	−0.549225	−	0.835674i	$-0.685077\pi$
$991$	−19.1094	+	5.12035i	−0.607031	+	0.162653i	−0.0578056	+	0.998328i	$0.518410\pi$
$992$	17.2759	−	14.2775i	0.548511	−	0.453311i
$993$	13.0747	−	13.0747i	0.414912	−	0.414912i
$994$	13.5044	−	10.1447i	0.428335	−	0.321771i
$995$	−15.5292	−	88.0707i	−0.492310	−	2.79203i
$996$	−2.44075	+	4.96653i	−0.0773382	+	0.157371i
$997$	2.84386	−	0.248805i	0.0900658	−	0.00787974i	−0.0420337	−	0.999116i	$-0.513384\pi$
$997$	2.84386	−	0.248805i	0.0900658	−	0.00787974i	0.132100	+	0.991236i	$0.457828\pi$
$998$	−9.50668	−	45.0566i	−0.300929	−	1.42624i
$999$	−21.9373	−	8.81610i	−0.694064	−	0.278929i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	296.2.bj.a.19.4	yes	432
8.3	odd	2	inner	296.2.bj.a.19.2	✓	432
37.2	odd	36	inner	296.2.bj.a.187.2	yes	432
296.187	even	36	inner	296.2.bj.a.187.4	yes	432

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
296.2.bj.a.19.2	✓	432	8.3	odd	2	inner
296.2.bj.a.19.4	yes	432	1.1	even	1	trivial
296.2.bj.a.187.2	yes	432	37.2	odd	36	inner
296.2.bj.a.187.4	yes	432	296.187	even	36	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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 296 = 2^{3} \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	296.bj (of order \(36\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.35304 + 0.411453i) q^{2} +(0.454193 + 0.541286i) q^{3} +(1.66141 - 1.11342i) q^{4} +(-2.89649 + 1.35066i) q^{5} +(-0.837254 - 0.545500i) q^{6} +(-0.668851 + 1.83765i) q^{7} +(-1.78983 + 2.19009i) q^{8} +(0.434245 - 2.46273i) q^{9} +(3.36333 - 3.01926i) q^{10} +(-2.65277 - 1.53158i) q^{11} +(1.35728 + 0.393591i) q^{12} +(-1.36623 - 0.956646i) q^{13} +(0.148871 - 2.76161i) q^{14} +(-2.04666 - 0.954372i) q^{15} +(1.52058 - 3.69971i) q^{16} +(-2.01347 + 1.40985i) q^{17} +(0.425748 + 3.51083i) q^{18} +(-3.78500 - 0.331145i) q^{19} +(-3.30842 + 5.46902i) q^{20} +(-1.29848 + 0.472609i) q^{21} +(4.21946 + 0.980787i) q^{22} +(1.98517 + 0.531924i) q^{23} +(-1.99840 + 0.0259162i) q^{24} +(3.35145 - 3.99411i) q^{25} +(2.24218 + 0.732235i) q^{26} +(3.36607 - 1.94340i) q^{27} +(0.934847 + 3.79781i) q^{28} +(-8.47912 + 2.27197i) q^{29} +(3.16188 + 0.449195i) q^{30} +(-2.80152 - 2.80152i) q^{31} +(-0.535142 + 5.63148i) q^{32} +(-0.375847 - 2.13154i) q^{33} +(2.14421 - 2.73602i) q^{34} +(-0.544716 - 6.22613i) q^{35} +(-2.02060 - 4.57510i) q^{36} +(-3.75378 - 4.78635i) q^{37} +(5.25749 - 1.10930i) q^{38} +(-0.102714 - 1.17402i) q^{39} +(2.22616 - 8.76103i) q^{40} +(-9.76013 + 1.72098i) q^{41} +(1.56244 - 1.17372i) q^{42} +(6.52507 + 6.52507i) q^{43} +(-6.11263 + 0.409072i) q^{44} +(2.06851 + 7.71978i) q^{45} +(-2.90487 + 0.0970918i) q^{46} +(3.02835 - 1.74842i) q^{47} +(2.69324 - 0.857312i) q^{48} +(2.43271 + 2.04128i) q^{49} +(-2.89125 + 6.78314i) q^{50} +(-1.67763 - 0.449521i) q^{51} +(-3.33503 - 0.0681895i) q^{52} +(-1.56456 - 4.29859i) q^{53} +(-3.75479 + 4.01447i) q^{54} +(9.75235 + 0.853220i) q^{55} +(-2.82750 - 4.75393i) q^{56} +(-1.53988 - 2.19917i) q^{57} +(10.5377 - 6.56283i) q^{58} +(8.16744 + 3.80854i) q^{59} +(-4.46296 + 0.693190i) q^{60} +(-5.07336 + 7.24550i) q^{61} +(4.94325 + 2.63786i) q^{62} +(4.23519 + 2.44519i) q^{63} +(-1.59303 - 7.83979i) q^{64} +(5.24938 + 0.925607i) q^{65} +(1.38556 + 2.72940i) q^{66} +(-3.64414 + 10.0122i) q^{67} +(-1.77545 + 4.58418i) q^{68} +(0.613726 + 1.31614i) q^{69} +(3.29878 + 8.20005i) q^{70} +(3.92568 + 4.67844i) q^{71} +(4.61638 + 5.35890i) q^{72} +6.62328i q^{73} +(7.04835 + 4.93160i) q^{74} +3.68416 q^{75} +(-6.65715 + 3.66414i) q^{76} +(4.58881 - 3.85047i) q^{77} +(0.622032 + 1.54624i) q^{78} +(15.0886 - 7.03593i) q^{79} +(0.592686 + 12.7700i) q^{80} +(-4.46894 - 1.62656i) q^{81} +(12.4977 - 6.34438i) q^{82} +(-0.679980 + 3.85636i) q^{83} +(-1.63110 + 2.23096i) q^{84} +(3.92778 - 6.80312i) q^{85} +(-11.5134 - 6.14389i) q^{86} +(-5.08095 - 3.55772i) q^{87} +(8.10229 - 3.06855i) q^{88} +(1.06958 - 2.29373i) q^{89} +(-5.97510 - 9.59405i) q^{90} +(2.67179 - 1.87081i) q^{91} +(3.89044 - 1.32659i) q^{92} +(0.243993 - 2.78885i) q^{93} +(-3.37808 + 3.61170i) q^{94} +(11.4105 - 4.15308i) q^{95} +(-3.29130 + 2.26812i) q^{96} +(-0.490768 + 1.83157i) q^{97} +(-4.13144 - 1.76099i) q^{98} +(-4.92380 + 5.86796i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 432 q - 12 q^{2} - 24 q^{3} - 18 q^{4} - 12 q^{6} - 6 q^{8} - 24 q^{9} - 6 q^{10} - 36 q^{11} - 12 q^{12} - 12 q^{14} + 18 q^{16} - 24 q^{17} - 42 q^{18} - 24 q^{19} - 12 q^{20} - 24 q^{22} - 84 q^{24}+ \cdots - 132 q^{99}+O(q^{100}) \) 432 * q - 12 * q^2 - 24 * q^3 - 18 * q^4 - 12 * q^6 - 6 * q^8 - 24 * q^9 - 6 * q^10 - 36 * q^11 - 12 * q^12 - 12 * q^14 + 18 * q^16 - 24 * q^17 - 42 * q^18 - 24 * q^19 - 12 * q^20 - 24 * q^22 - 84 * q^24 - 12 * q^25 - 6 * q^26 - 36 * q^27 - 12 * q^28 - 36 * q^30 - 42 * q^32 - 60 * q^33 - 12 * q^34 - 24 * q^35 + 60 * q^38 - 12 * q^40 - 24 * q^41 - 12 * q^42 - 6 * q^44 + 48 * q^46 - 18 * q^48 + 24 * q^49 - 42 * q^50 + 96 * q^51 - 42 * q^52 - 72 * q^54 - 12 * q^56 - 24 * q^57 + 48 * q^58 - 24 * q^59 + 144 * q^60 - 72 * q^62 + 108 * q^64 - 84 * q^65 - 168 * q^66 - 24 * q^67 - 18 * q^68 - 186 * q^70 + 234 * q^72 - 150 * q^74 - 48 * q^75 + 42 * q^76 - 222 * q^78 + 120 * q^80 - 60 * q^81 - 24 * q^82 - 24 * q^83 + 126 * q^84 - 54 * q^86 - 24 * q^89 + 72 * q^90 - 24 * q^91 + 114 * q^92 - 24 * q^94 + 72 * q^96 - 24 * q^97 - 114 * q^98 - 132 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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