LMFDB - Embedded newform 73.2.h.a.49.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [73,2,Mod(3,73)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(73, base_ring=CyclotomicField(12))

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

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

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

chi := DirichletCharacter("73.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 73 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	73.h (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$0.582907934755$
Analytic rank:	$0$
Dimension:	$20$
Relative dimension:	$5$ over $\Q(\zeta_{12})$
Coefficient field:	$\mathbb{Q}[x]/(x^{20} + \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{20} + 28 x^{18} + 326 x^{16} + 2044 x^{14} + 7471 x^{12} + 16090 x^{10} + 19590 x^{8} + 12030 x^{6} + \cdots + 1 $ x^20 + 28x^18 + 326x^16 + 2044x^14 + 7471x^12 + 16090x^10 + 19590x^8 + 12030x^6 + 2877x^4 + 230*x^2 + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			49.5
Root			$-2.33929i$ of defining polynomial
Character	$\chi$	$=$	73.49
Dual form			73.2.h.a.3.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.16965 + 2.02589i) q^{2} -1.29757i q^{3} +(-1.73614 + 3.00709i) q^{4} +(-1.10336 + 0.295646i) q^{5} +(2.62873 - 1.51770i) q^{6} +(-0.549659 - 0.549659i) q^{7} -3.44410 q^{8} +1.31631 q^{9} +O(q^{10})$	\(q+(1.16965 + 2.02589i) q^{2} -1.29757i q^{3} +(-1.73614 + 3.00709i) q^{4} +(-1.10336 + 0.295646i) q^{5} +(2.62873 - 1.51770i) q^{6} +(-0.549659 - 0.549659i) q^{7} -3.44410 q^{8} +1.31631 q^{9} +(-1.88949 - 1.88949i) q^{10} +(-1.27721 - 4.76661i) q^{11} +(3.90190 + 2.25276i) q^{12} +(-4.18796 - 1.12216i) q^{13} +(0.470640 - 1.75645i) q^{14} +(0.383621 + 1.43169i) q^{15} +(-0.556094 - 0.963182i) q^{16} +(3.12524 + 3.12524i) q^{17} +(1.53962 + 2.66670i) q^{18} +(-4.71745 + 2.72362i) q^{19} +(1.02657 - 3.83119i) q^{20} +(-0.713221 + 0.713221i) q^{21} +(8.16273 - 8.16273i) q^{22} +(5.29616 + 3.05774i) q^{23} +4.46896i q^{24} +(-3.20012 + 1.84759i) q^{25} +(-2.62506 - 9.79685i) q^{26} -5.60072i q^{27} +(2.60716 - 0.698586i) q^{28} +(2.41158 + 0.646181i) q^{29} +(-2.45174 + 2.45174i) q^{30} +(1.01662 + 0.272403i) q^{31} +(-2.14324 + 3.71219i) q^{32} +(-6.18501 + 1.65727i) q^{33} +(-2.67596 + 9.98681i) q^{34} +(0.768979 + 0.443970i) q^{35} +(-2.28531 + 3.95827i) q^{36} +(-5.13089 + 8.88697i) q^{37} +(-11.0355 - 6.37134i) q^{38} +(-1.45608 + 5.43416i) q^{39} +(3.80010 - 1.01823i) q^{40} +(3.39818 - 5.88581i) q^{41} +(-2.27912 - 0.610688i) q^{42} +(3.98148 - 3.98148i) q^{43} +(16.5510 + 4.43484i) q^{44} +(-1.45237 + 0.389163i) q^{45} +14.3059i q^{46} +(-1.79248 - 6.68963i) q^{47} +(-1.24980 + 0.721570i) q^{48} -6.39575i q^{49} +(-7.48601 - 4.32205i) q^{50} +(4.05522 - 4.05522i) q^{51} +(10.6453 - 10.6453i) q^{52} +(-1.22755 + 4.58127i) q^{53} +(11.3464 - 6.55085i) q^{54} +(2.81846 + 4.88171i) q^{55} +(1.89308 + 1.89308i) q^{56} +(3.53408 + 6.12121i) q^{57} +(1.51161 + 5.64139i) q^{58} +(1.19274 - 4.45138i) q^{59} +(-4.97124 - 1.33204i) q^{60} +(5.18334 + 2.99260i) q^{61} +(0.637230 + 2.37818i) q^{62} +(-0.723524 - 0.723524i) q^{63} -12.2517 q^{64} +4.95260 q^{65} +(-10.5917 - 10.5917i) q^{66} +(8.57772 - 4.95235i) q^{67} +(-14.8237 + 3.97201i) q^{68} +(3.96763 - 6.87213i) q^{69} +2.07715i q^{70} +(-0.105565 - 0.182843i) q^{71} -4.53352 q^{72} +(-8.49830 - 0.882531i) q^{73} -24.0053 q^{74} +(2.39738 + 4.15238i) q^{75} -18.9144i q^{76} +(-1.91798 + 3.32204i) q^{77} +(-12.7121 + 3.40619i) q^{78} +(6.68383 - 3.85891i) q^{79} +(0.898335 + 0.898335i) q^{80} -3.31837 q^{81} +15.8986 q^{82} +(3.16609 + 3.16609i) q^{83} +(-0.906463 - 3.38297i) q^{84} +(-4.37224 - 2.52432i) q^{85} +(12.7229 + 3.40910i) q^{86} +(0.838465 - 3.12919i) q^{87} +(4.39884 + 16.4167i) q^{88} +(-1.01352 - 1.75547i) q^{89} +(-2.48716 - 2.48716i) q^{90} +(1.68514 + 2.91875i) q^{91} +(-18.3898 + 10.6173i) q^{92} +(0.353462 - 1.31914i) q^{93} +(11.4559 - 11.4559i) q^{94} +(4.39984 - 4.39984i) q^{95} +(4.81683 + 2.78100i) q^{96} +10.6574i q^{97} +(12.9571 - 7.48076i) q^{98} +(-1.68121 - 6.27436i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 20 q - 4 q^{2} - 8 q^{4} - 4 q^{5} + 6 q^{6} - 2 q^{7} + 12 q^{8} - 32 q^{9}+O(q^{10}) $ 20 * q - 4 * q^2 - 8 * q^4 - 4 * q^5 + 6 * q^6 - 2 * q^7 + 12 * q^8 - 32 * q^9	\( 20 q - 4 q^{2} - 8 q^{4} - 4 q^{5} + 6 q^{6} - 2 q^{7} + 12 q^{8} - 32 q^{9} - 12 q^{10} - 6 q^{11} + 30 q^{12} - 16 q^{13} - 8 q^{14} + 8 q^{15} - 4 q^{16} + 8 q^{17} + 4 q^{18} - 12 q^{19} + 8 q^{20} + 24 q^{21} + 8 q^{22} - 6 q^{23} - 36 q^{25} - 36 q^{26} - 12 q^{28} - 6 q^{29} + 34 q^{30} + 20 q^{31} - 6 q^{32} + 34 q^{33} + 36 q^{34} + 18 q^{35} + 18 q^{36} - 8 q^{37} - 66 q^{38} + 28 q^{39} - 2 q^{40} + 10 q^{41} - 56 q^{42} + 12 q^{43} + 34 q^{44} - 4 q^{45} - 20 q^{47} - 48 q^{48} + 30 q^{50} - 36 q^{51} + 80 q^{52} + 24 q^{53} + 24 q^{54} + 10 q^{55} + 10 q^{57} + 54 q^{58} - 18 q^{59} + 50 q^{60} + 42 q^{61} - 12 q^{62} - 48 q^{63} - 56 q^{64} - 44 q^{65} - 10 q^{66} - 42 q^{67} - 44 q^{68} + 24 q^{69} + 4 q^{71} - 112 q^{72} - 16 q^{73} - 96 q^{74} - 52 q^{75} + 52 q^{77} - 12 q^{78} + 54 q^{79} - 2 q^{80} + 60 q^{81} + 32 q^{82} - 30 q^{83} - 16 q^{84} + 6 q^{85} + 16 q^{86} + 32 q^{87} + 2 q^{88} - 22 q^{89} - 110 q^{90} - 8 q^{91} - 78 q^{92} + 78 q^{93} + 38 q^{94} + 38 q^{95} + 72 q^{96} + 138 q^{98} - 32 q^{99}+O(q^{100}) \) 20 * q - 4 * q^2 - 8 * q^4 - 4 * q^5 + 6 * q^6 - 2 * q^7 + 12 * q^8 - 32 * q^9 - 12 * q^10 - 6 * q^11 + 30 * q^12 - 16 * q^13 - 8 * q^14 + 8 * q^15 - 4 * q^16 + 8 * q^17 + 4 * q^18 - 12 * q^19 + 8 * q^20 + 24 * q^21 + 8 * q^22 - 6 * q^23 - 36 * q^25 - 36 * q^26 - 12 * q^28 - 6 * q^29 + 34 * q^30 + 20 * q^31 - 6 * q^32 + 34 * q^33 + 36 * q^34 + 18 * q^35 + 18 * q^36 - 8 * q^37 - 66 * q^38 + 28 * q^39 - 2 * q^40 + 10 * q^41 - 56 * q^42 + 12 * q^43 + 34 * q^44 - 4 * q^45 - 20 * q^47 - 48 * q^48 + 30 * q^50 - 36 * q^51 + 80 * q^52 + 24 * q^53 + 24 * q^54 + 10 * q^55 + 10 * q^57 + 54 * q^58 - 18 * q^59 + 50 * q^60 + 42 * q^61 - 12 * q^62 - 48 * q^63 - 56 * q^64 - 44 * q^65 - 10 * q^66 - 42 * q^67 - 44 * q^68 + 24 * q^69 + 4 * q^71 - 112 * q^72 - 16 * q^73 - 96 * q^74 - 52 * q^75 + 52 * q^77 - 12 * q^78 + 54 * q^79 - 2 * q^80 + 60 * q^81 + 32 * q^82 - 30 * q^83 - 16 * q^84 + 6 * q^85 + 16 * q^86 + 32 * q^87 + 2 * q^88 - 22 * q^89 - 110 * q^90 - 8 * q^91 - 78 * q^92 + 78 * q^93 + 38 * q^94 + 38 * q^95 + 72 * q^96 + 138 * q^98 - 32 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/73\mathbb{Z}\right)^\times$.

$n$	$5$
$\chi(n)$	$e\left(\frac{11}{12}\right)$

Coefficient data

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

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

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

$2$	1.16965	+	2.02589i	0.827064	+	1.43252i	0.900331	+	0.435205i	$0.143324\pi$
$2$	1.16965	+	2.02589i	0.827064	+	1.43252i	−0.0732669	+	0.997312i	$0.523343\pi$
$3$		−	1.29757i		−	0.749152i	−0.927196	−	0.374576i	$-0.877788\pi$
$3$		−	1.29757i		−	0.749152i	0.927196	−	0.374576i	$-0.122212\pi$
$4$	−1.73614	+	3.00709i	−0.868071	+	1.50354i
$5$	−1.10336	+	0.295646i	−0.493440	+	0.132217i	−0.496954	−	0.867777i	$-0.665548\pi$
$5$	−1.10336	+	0.295646i	−0.493440	+	0.132217i	0.00351404	+	0.999994i	$0.498881\pi$
$6$	2.62873	−	1.51770i	1.07317	−	0.619597i
$7$	−0.549659	−	0.549659i	−0.207752	−	0.207752i	0.595560	−	0.803311i	$-0.296930\pi$
$7$	−0.549659	−	0.549659i	−0.207752	−	0.207752i	−0.803311	+	0.595560i	$0.796930\pi$
$8$	−3.44410			−1.21767
$9$	1.31631			0.438772
$10$	−1.88949	−	1.88949i	−0.597509	−	0.597509i
$11$	−1.27721	−	4.76661i	−0.385093	−	1.43719i	−0.838020	−	0.545640i	$-0.816287\pi$
$11$	−1.27721	−	4.76661i	−0.385093	−	1.43719i	0.452926	−	0.891548i	$-0.350380\pi$
$12$	3.90190	+	2.25276i	1.12638	+	0.650317i
$13$	−4.18796	−	1.12216i	−1.16153	−	0.311231i	−0.373953	−	0.927448i	$-0.621998\pi$
$13$	−4.18796	−	1.12216i	−1.16153	−	0.311231i	−0.787577	+	0.616216i	$0.788665\pi$
$14$	0.470640	−	1.75645i	0.125784	−	0.469432i
$15$	0.383621	+	1.43169i	0.0990504	+	0.369661i
$16$	−0.556094	−	0.963182i	−0.139023	−	0.240796i
$17$	3.12524	+	3.12524i	0.757982	+	0.757982i	0.975955	−	0.217973i	$-0.0699443\pi$
$17$	3.12524	+	3.12524i	0.757982	+	0.757982i	−0.217973	+	0.975955i	$0.569944\pi$
$18$	1.53962	+	2.66670i	0.362892	+	0.628548i
$19$	−4.71745	+	2.72362i	−1.08226	+	0.624841i	−0.931504	−	0.363731i	$-0.881503\pi$
$19$	−4.71745	+	2.72362i	−1.08226	+	0.624841i	−0.150752	+	0.988572i	$0.548170\pi$
$20$	1.02657	−	3.83119i	0.229547	−	0.856681i
$21$	−0.713221	+	0.713221i	−0.155637	+	0.155637i
$22$	8.16273	−	8.16273i	1.74030	−	1.74030i
$23$	5.29616	+	3.05774i	1.10432	+	0.637582i	0.937354	−	0.348379i	$-0.113268\pi$
$23$	5.29616	+	3.05774i	1.10432	+	0.637582i	0.166971	+	0.985962i	$0.446601\pi$
$24$			4.46896i			0.912222i
$25$	−3.20012	+	1.84759i	−0.640024	+	0.369518i
$26$	−2.62506	−	9.79685i	−0.514816	−	1.92132i
$27$		−	5.60072i		−	1.07786i
$28$	2.60716	−	0.698586i	0.492707	−	0.132020i
$29$	2.41158	+	0.646181i	0.447819	+	0.119993i	0.475679	−	0.879619i	$-0.342202\pi$
$29$	2.41158	+	0.646181i	0.447819	+	0.119993i	−0.0278595	+	0.999612i	$0.508869\pi$
$30$	−2.45174	+	2.45174i	−0.447625	+	0.447625i
$31$	1.01662	+	0.272403i	0.182591	+	0.0489250i	0.348956	−	0.937139i	$-0.386536\pi$
$31$	1.01662	+	0.272403i	0.182591	+	0.0489250i	−0.166365	+	0.986064i	$0.553203\pi$
$32$	−2.14324	+	3.71219i	−0.378874	+	0.656229i
$33$	−6.18501	+	1.65727i	−1.07667	+	0.288493i
$34$	−2.67596	+	9.98681i	−0.458923	+	1.71272i
$35$	0.768979	+	0.443970i	0.129981	+	0.0750446i
$36$	−2.28531	+	3.95827i	−0.380885	+	0.659712i
$37$	−5.13089	+	8.88697i	−0.843514	+	1.46101i	0.0433919	+	0.999058i	$0.486184\pi$
$37$	−5.13089	+	8.88697i	−0.843514	+	1.46101i	−0.886906	+	0.461951i	$0.847150\pi$
$38$	−11.0355	−	6.37134i	−1.79019	−	1.03357i
$39$	−1.45608	+	5.43416i	−0.233159	+	0.870162i
$40$	3.80010	−	1.01823i	0.600848	−	0.160997i
$41$	3.39818	−	5.88581i	0.530706	−	0.919209i	−0.468652	−	0.883383i	$-0.655260\pi$
$41$	3.39818	−	5.88581i	0.530706	−	0.919209i	0.999358	−	0.0358267i	$-0.0114064\pi$
$42$	−2.27912	−	0.610688i	−0.351676	−	0.0942312i
$43$	3.98148	−	3.98148i	0.607170	−	0.607170i	−0.335035	−	0.942206i	$-0.608748\pi$
$43$	3.98148	−	3.98148i	0.607170	−	0.607170i	0.942206	+	0.335035i	$0.108748\pi$
$44$	16.5510	+	4.43484i	2.49516	+	0.668577i
$45$	−1.45237	+	0.389163i	−0.216507	+	0.0580129i
$46$			14.3059i			2.10929i
$47$	−1.79248	−	6.68963i	−0.261460	−	0.975783i	−0.964382	−	0.264515i	$-0.914788\pi$
$47$	−1.79248	−	6.68963i	−0.261460	−	0.975783i	0.702921	−	0.711268i	$-0.251879\pi$
$48$	−1.24980	+	0.721570i	−0.180392	+	0.104150i
$49$		−	6.39575i		−	0.913679i
$50$	−7.48601	−	4.32205i	−1.05868	−	0.611230i
$51$	4.05522	−	4.05522i	0.567844	−	0.567844i
$52$	10.6453	−	10.6453i	1.47624	−	1.47624i
$53$	−1.22755	+	4.58127i	−0.168616	+	0.629285i	0.828935	+	0.559345i	$0.188947\pi$
$53$	−1.22755	+	4.58127i	−0.168616	+	0.629285i	−0.997551	+	0.0699399i	$0.977719\pi$
$54$	11.3464	−	6.55085i	1.54405	−	0.891458i
$55$	2.81846	+	4.88171i	0.380041	+	0.658250i
$56$	1.89308	+	1.89308i	0.252974	+	0.252974i
$57$	3.53408	+	6.12121i	0.468101	+	0.810774i
$58$	1.51161	+	5.64139i	0.198484	+	0.740751i
$59$	1.19274	−	4.45138i	0.155282	−	0.579521i	−0.843799	−	0.536659i	$-0.819686\pi$
$59$	1.19274	−	4.45138i	0.155282	−	0.579521i	0.999081	−	0.0428612i	$-0.0136473\pi$
$60$	−4.97124	−	1.33204i	−0.641784	−	0.171966i
$61$	5.18334	+	2.99260i	0.663659	+	0.383164i	0.793670	−	0.608349i	$-0.208168\pi$
$61$	5.18334	+	2.99260i	0.663659	+	0.383164i	−0.130011	+	0.991513i	$0.541501\pi$
$62$	0.637230	+	2.37818i	0.0809283	+	0.302029i
$63$	−0.723524	−	0.723524i	−0.0911555	−	0.0911555i
$64$	−12.2517			−1.53146
$65$	4.95260			0.614295
$66$	−10.5917	−	10.5917i	−1.30375	−	1.30375i
$67$	8.57772	−	4.95235i	1.04793	−	0.605025i	0.125864	−	0.992047i	$-0.459830\pi$
$67$	8.57772	−	4.95235i	1.04793	−	0.605025i	0.922070	+	0.387022i	$0.126496\pi$
$68$	−14.8237	+	3.97201i	−1.79764	+	0.481677i
$69$	3.96763	−	6.87213i	0.477646	−	0.827307i
$70$			2.07715i			0.248267i
$71$	−0.105565	−	0.182843i	−0.0125282	−	0.0216995i	0.859693	−	0.510811i	$-0.170655\pi$
$71$	−0.105565	−	0.182843i	−0.0125282	−	0.0216995i	−0.872222	+	0.489111i	$0.837321\pi$
$72$	−4.53352			−0.534280
$73$	−8.49830	−	0.882531i	−0.994651	−	0.103292i
$73$	−8.49830	−	0.882531i	−0.994651	−	0.103292i
$74$	−24.0053			−2.79056
$75$	2.39738	+	4.15238i	0.276825	+	0.479475i
$76$		−	18.9144i		−	2.16963i
$77$	−1.91798	+	3.32204i	−0.218574	+	0.378582i
$78$	−12.7121	+	3.40619i	−1.43936	+	0.385676i
$79$	6.68383	−	3.85891i	0.751990	−	0.434162i	−0.0744225	−	0.997227i	$-0.523711\pi$
$79$	6.68383	−	3.85891i	0.751990	−	0.434162i	0.826412	+	0.563065i	$0.190378\pi$
$80$	0.898335	+	0.898335i	0.100437	+	0.100437i
$81$	−3.31837			−0.368708
$82$	15.8986			1.75571
$83$	3.16609	+	3.16609i	0.347524	+	0.347524i	0.859186	−	0.511663i	$-0.170970\pi$
$83$	3.16609	+	3.16609i	0.347524	+	0.347524i	−0.511663	+	0.859186i	$0.670970\pi$
$84$	−0.906463	−	3.38297i	−0.0989033	−	0.369112i
$85$	−4.37224	−	2.52432i	−0.474236	−	0.273801i
$86$	12.7229	+	3.40910i	1.37195	+	0.367613i
$87$	0.838465	−	3.12919i	0.0898929	−	0.335485i
$88$	4.39884	+	16.4167i	0.468918	+	1.75003i
$89$	−1.01352	−	1.75547i	−0.107433	−	0.186080i	0.807297	−	0.590146i	$-0.200930\pi$
$89$	−1.01352	−	1.75547i	−0.107433	−	0.186080i	−0.914730	+	0.404066i	$0.867596\pi$
$90$	−2.48716	−	2.48716i	−0.262170	−	0.262170i
$91$	1.68514	+	2.91875i	0.176651	+	0.305969i
$92$	−18.3898	+	10.6173i	−1.91726	+	1.10693i
$93$	0.353462	−	1.31914i	0.0366523	−	0.136788i
$94$	11.4559	−	11.4559i	1.18158	−	1.18158i
$95$	4.39984	−	4.39984i	0.451414	−	0.451414i
$96$	4.81683	+	2.78100i	0.491615	+	0.283834i
$97$			10.6574i			1.08209i	0.840992	+	0.541047i	$0.181972\pi$
$97$			10.6574i			1.08209i	−0.840992	+	0.541047i	$0.818028\pi$
$98$	12.9571	−	7.48076i	1.30886	−	0.755671i
$99$	−1.68121	−	6.27436i	−0.168968	−	0.630597i
$100$		−	12.8307i		−	1.28307i
$101$	−11.6314	+	3.11662i	−1.15737	+	0.310116i	−0.785914	−	0.618336i	$-0.787807\pi$
$101$	−11.6314	+	3.11662i	−1.15737	+	0.310116i	−0.371453	+	0.928452i	$0.621140\pi$
$102$	12.9586	+	3.47224i	1.28309	+	0.343803i
$103$	−2.61487	+	2.61487i	−0.257650	+	0.257650i	−0.824098	−	0.566447i	$-0.808317\pi$
$103$	−2.61487	+	2.61487i	−0.257650	+	0.257650i	0.566447	+	0.824098i	$0.308317\pi$
$104$	14.4237	+	3.86483i	1.41436	+	0.378978i
$105$	0.576082	−	0.997803i	0.0562198	−	0.0973756i
$106$	−10.7169	+	2.87159i	−1.04092	+	0.278913i
$107$	−4.09936	+	15.2990i	−0.396300	+	1.47901i	0.423254	+	0.906011i	$0.360888\pi$
$107$	−4.09936	+	15.2990i	−0.396300	+	1.47901i	−0.819555	+	0.573001i	$0.805779\pi$
$108$	16.8418	+	9.72364i	1.62061	+	0.935657i
$109$	3.52834	−	6.11127i	0.337954	−	0.585354i	−0.646094	−	0.763258i	$-0.723598\pi$
$109$	3.52834	−	6.11127i	0.337954	−	0.585354i	0.984048	+	0.177904i	$0.0569318\pi$
$110$	−6.59319	+	11.4197i	−0.628636	+	1.08883i
$111$	11.5315	+	6.65769i	1.09452	+	0.631920i
$112$	−0.223760	+	0.835084i	−0.0211433	+	0.0789080i
$113$	15.0847	−	4.04194i	1.41905	−	0.380234i	0.533905	−	0.845545i	$-0.320724\pi$
$113$	15.0847	−	4.04194i	1.41905	−	0.380234i	0.885147	+	0.465311i	$0.154057\pi$
$114$	−8.26725	+	14.3193i	−0.774299	+	1.34112i
$115$	−6.74760	−	1.80801i	−0.629217	−	0.168598i
$116$	−6.12997	+	6.12997i	−0.569153	+	0.569153i
$117$	−5.51267	−	1.47712i	−0.509646	−	0.136559i
$118$	10.4131	−	2.79018i	0.958602	−	0.256857i
$119$		−	3.43563i		−	0.314944i
$120$	−1.32123	−	4.93089i	−0.120611	−	0.450127i
$121$	−11.5631	+	6.67594i	−1.05119	+	0.606904i
$122$			14.0011i			1.26760i
$123$	−7.63725	−	4.40937i	−0.688627	−	0.397579i
$124$	−2.58414	+	2.58414i	−0.232063	+	0.232063i
$125$	7.02326	−	7.02326i	0.628180	−	0.628180i
$126$	0.619510	−	2.31204i	0.0551904	−	0.205973i
$127$	−14.1747	+	8.18378i	−1.25780	+	0.726193i	−0.972647	−	0.232288i	$-0.925379\pi$
$127$	−14.1747	+	8.18378i	−1.25780	+	0.726193i	−0.285156	+	0.958481i	$0.592045\pi$
$128$	−10.0437	−	17.3961i	−0.887742	−	1.53761i
$129$	−5.16625	−	5.16625i	−0.454863	−	0.454863i
$130$	5.79279	+	10.0334i	0.508061	+	0.879988i
$131$	−2.18354	−	8.14909i	−0.190777	−	0.711990i	−0.993320	−	0.115395i	$-0.963187\pi$
$131$	−2.18354	−	8.14909i	−0.190777	−	0.711990i	0.802543	−	0.596595i	$-0.203480\pi$
$132$	5.75451	−	21.4761i	0.500866	−	1.86926i
$133$	4.09005	+	1.09593i	0.354652	+	0.0950288i
$134$	20.0658	+	11.5850i	1.73342	+	1.00079i
$135$	1.65583	+	6.17963i	0.142511	+	0.531858i
$136$	−10.7636	−	10.7636i	−0.922975	−	0.922975i
$137$	5.64872			0.482602			0.241301	−	0.970450i	$-0.422426\pi$
$137$	5.64872			0.482602			0.241301	+	0.970450i	$0.422426\pi$
$138$	18.5629			1.58018
$139$	−8.57798	−	8.57798i	−0.727575	−	0.727575i	0.242561	−	0.970136i	$-0.422012\pi$
$139$	−8.57798	−	8.57798i	−0.727575	−	0.727575i	−0.970136	+	0.242561i	$0.922012\pi$
$140$	−2.67011	+	1.54159i	−0.225666	+	0.130288i
$141$	−8.68025	+	2.32587i	−0.731009	+	0.195873i
$142$	0.246947	−	0.427724i	0.0207233	−	0.0358938i
$143$			21.3956i			1.78919i
$144$	−0.731994	−	1.26785i	−0.0609995	−	0.105654i
$145$	−2.85189			−0.236837
$146$	−8.15210	−	18.2488i	−0.674672	−	1.51028i
$147$	−8.29893			−0.684484
$148$	−17.8159	−	30.8581i	−1.46446	−	2.53652i
$149$		−	16.3854i		−	1.34235i	−0.741300	−	0.671174i	$-0.765790\pi$
$149$		−	16.3854i		−	1.34235i	0.741300	−	0.671174i	$-0.234210\pi$
$150$	−5.60816	+	9.71362i	−0.457904	+	0.793114i
$151$	−8.14335	+	2.18200i	−0.662697	+	0.177569i	−0.574463	−	0.818531i	$-0.694789\pi$
$151$	−8.14335	+	2.18200i	−0.662697	+	0.177569i	−0.0882339	+	0.996100i	$0.528122\pi$
$152$	16.2474	−	9.38042i	1.31783	−	0.760852i
$153$	4.11380	+	4.11380i	0.332581	+	0.332581i
$154$	−8.97344			−0.723100
$155$	−1.20224			−0.0965662
$156$	−13.8130	−	13.8130i	−1.10593	−	1.10593i
$157$	2.61641	+	9.76456i	0.208812	+	0.779297i	0.988254	+	0.152822i	$0.0488362\pi$
$157$	2.61641	+	9.76456i	0.208812	+	0.779297i	−0.779442	+	0.626475i	$0.784497\pi$
$158$	15.6354	+	9.02712i	1.24389	+	0.718159i
$159$	5.94451	+	1.59283i	0.471430	+	0.126319i
$160$	1.26728	−	4.72954i	0.100187	−	0.373903i
$161$	−1.23037	−	4.59179i	−0.0969665	−	0.361884i
$162$	−3.88132	−	6.72264i	−0.304945	−	0.528181i
$163$	−10.3399	−	10.3399i	−0.809882	−	0.809882i	0.174734	−	0.984616i	$-0.444093\pi$
$163$	−10.3399	−	10.3399i	−0.809882	−	0.809882i	−0.984616	+	0.174734i	$0.944093\pi$
$164$	11.7994	+	20.4372i	0.921381	+	1.59588i
$165$	6.33436	−	3.65714i	0.493129	−	0.284708i
$166$	−2.71093	+	10.1173i	−0.210409	+	0.785258i
$167$	−9.73391	+	9.73391i	−0.753233	+	0.753233i	−0.975081	−	0.221848i	$-0.928791\pi$
$167$	−9.73391	+	9.73391i	−0.753233	+	0.753233i	0.221848	+	0.975081i	$0.428791\pi$
$168$	2.45640	−	2.45640i	0.189516	−	0.189516i
$169$	5.02141	+	2.89911i	0.386262	+	0.223009i
$170$		−	11.8102i		−	0.905803i
$171$	−6.20964	+	3.58514i	−0.474863	+	0.274162i
$172$	5.06024	+	18.8851i	0.385840	+	1.43997i
$173$			12.1711i			0.925350i	0.886528	+	0.462675i	$0.153110\pi$
$173$			12.1711i			0.925350i	−0.886528	+	0.462675i	$0.846890\pi$
$174$	7.32009	−	1.96141i	0.554935	−	0.148694i
$175$	2.77452	+	0.743430i	0.209734	+	0.0561981i
$176$	−3.88087	+	3.88087i	−0.292532	+	0.292532i
$177$	−5.77598	−	1.54767i	−0.434149	−	0.116330i
$178$	2.37092	−	4.10656i	0.177708	−	0.307800i
$179$	14.2081	−	3.80704i	1.06196	−	0.284552i	0.314775	−	0.949166i	$-0.398071\pi$
$179$	14.2081	−	3.80704i	1.06196	−	0.284552i	0.747186	+	0.664614i	$0.231404\pi$
$180$	1.35128	−	5.04306i	0.100719	−	0.375887i
$181$	3.29180	+	1.90052i	0.244677	+	0.141264i	0.617325	−	0.786709i	$-0.288217\pi$
$181$	3.29180	+	1.90052i	0.244677	+	0.141264i	−0.372647	+	0.927973i	$0.621550\pi$
$182$	−3.94204	+	6.82781i	−0.292203	+	0.506111i
$183$	3.88311	−	6.72575i	0.287048	−	0.497181i
$184$	−18.2405	−	10.5312i	−1.34471	−	0.776367i
$185$	3.03385	−	11.3225i	0.223053	−	0.832446i
$186$	3.08585	−	0.826850i	0.226265	−	0.0606276i
$187$	10.9052	−	18.8884i	0.797469	−	1.38126i
$188$	23.2283	+	6.22400i	1.69410	+	0.453932i
$189$	−3.07848	+	3.07848i	−0.223927	+	0.223927i
$190$	14.0598	+	3.76732i	1.02001	+	0.273310i
$191$	−0.975944	+	0.261504i	−0.0706169	+	0.0189217i	−0.293954	−	0.955819i	$-0.594971\pi$
$191$	−0.975944	+	0.261504i	−0.0706169	+	0.0189217i	0.223338	+	0.974741i	$0.428305\pi$
$192$			15.8974i			1.14730i
$193$	1.33763	+	4.99210i	0.0962847	+	0.359339i	0.997211	−	0.0746326i	$-0.0237784\pi$
$193$	1.33763	+	4.99210i	0.0962847	+	0.359339i	−0.900926	+	0.433972i	$0.857112\pi$
$194$	−21.5907	+	12.4654i	−1.55012	+	0.894961i
$195$		−	6.42635i		−	0.460200i
$196$	19.2326	+	11.1039i	1.37375	+	0.793138i
$197$	−1.09447	+	1.09447i	−0.0779779	+	0.0779779i	−0.745020	−	0.667042i	$-0.767560\pi$
$197$	−1.09447	+	1.09447i	−0.0779779	+	0.0779779i	0.667042	+	0.745020i	$0.267560\pi$
$198$	10.7447	−	10.7447i	0.763594	−	0.763594i
$199$	4.25051	−	15.8631i	0.301310	−	1.12451i	−0.634765	−	0.772706i	$-0.718903\pi$
$199$	4.25051	−	15.8631i	0.301310	−	1.12451i	0.936075	−	0.351800i	$-0.114430\pi$
$200$	11.0215	−	6.36329i	0.779340	−	0.449952i
$201$	−6.42601	−	11.1302i	−0.453256	−	0.785062i
$202$	−19.9185	−	19.9185i	−1.40146	−	1.40146i
$203$	−0.970368	−	1.68073i	−0.0681065	−	0.117964i
$204$	5.15395	+	19.2348i	0.360849	+	1.34671i
$205$	−2.00931	+	7.49885i	−0.140336	+	0.523743i
$206$	−8.35589	−	2.23895i	−0.582182	−	0.155995i
$207$	6.97141	+	4.02494i	0.484546	+	0.279753i
$208$	1.24805	+	4.65779i	0.0865368	+	0.322960i
$209$	19.0076	+	19.0076i	1.31478	+	1.31478i
$210$	2.69525			0.185990
$211$	−14.9790			−1.03120			−0.515599	−	0.856830i	$-0.672431\pi$
$211$	−14.9790			−1.03120			−0.515599	+	0.856830i	$0.672431\pi$
$212$	−11.6451	−	11.6451i	−0.799786	−	0.799786i
$213$	−0.237252	+	0.136977i	−0.0162562	+	0.00938554i
$214$	−35.7889	+	9.58960i	−2.44648	+	0.655531i
$215$	−3.21592	+	5.57013i	−0.219324	+	0.379880i
$216$			19.2894i			1.31248i
$217$	−0.409067	−	0.708524i	−0.0277693	−	0.0480978i
$218$	16.5077			1.11804
$219$	−1.14514	+	11.0271i	−0.0773817	+	0.745145i
$220$	−19.5730			−1.31961
$221$	−9.58136	−	16.5954i	−0.644512	−	1.11633i
$222$			31.1485i			2.09055i
$223$	−1.74358	+	3.01997i	−0.116759	+	0.202232i	−0.918481	−	0.395464i	$-0.870584\pi$
$223$	−1.74358	+	3.01997i	−0.116759	+	0.202232i	0.801723	+	0.597696i	$0.203917\pi$
$224$	3.21849	−	0.862392i	0.215044	−	0.0576210i
$225$	−4.21236	+	2.43201i	−0.280824	+	0.162134i
$226$	25.8323	+	25.8323i	1.71834	+	1.71834i
$227$	−5.42095			−0.359801			−0.179900	−	0.983685i	$-0.557578\pi$
$227$	−5.42095			−0.359801			−0.179900	+	0.983685i	$0.557578\pi$
$228$	−24.5427			−1.62538
$229$	13.2436	+	13.2436i	0.875162	+	0.875162i	0.993029	−	0.117868i	$-0.0376059\pi$
$229$	13.2436	+	13.2436i	0.875162	+	0.875162i	−0.117868	+	0.993029i	$0.537606\pi$
$230$	−4.22947	−	15.7846i	−0.278883	−	1.04081i
$231$	4.31058	+	2.48871i	0.283615	+	0.163745i
$232$	−8.30573	−	2.22551i	−0.545298	−	0.146112i
$233$	4.61635	−	17.2285i	0.302427	−	1.12867i	−0.632710	−	0.774389i	$-0.718058\pi$
$233$	4.61635	−	17.2285i	0.302427	−	1.12867i	0.935137	−	0.354285i	$-0.115276\pi$
$234$	−3.45540	−	12.8957i	−0.225887	−	0.843021i
$235$	3.95552	+	6.85116i	0.258030	+	0.446920i
$236$	11.3149	+	11.3149i	0.736538	+	0.736538i
$237$	−5.00721	−	8.67273i	−0.325253	−	0.563355i
$238$	6.96020	−	4.01848i	0.451163	−	0.260479i
$239$	−6.10216	+	22.7736i	−0.394716	+	1.47310i	0.427548	+	0.903993i	$0.359378\pi$
$239$	−6.10216	+	22.7736i	−0.394716	+	1.47310i	−0.822264	+	0.569107i	$0.807289\pi$
$240$	1.16565	−	1.16565i	0.0752425	−	0.0752425i
$241$	17.2186	−	17.2186i	1.10915	−	1.10915i	0.115886	−	0.993262i	$-0.463029\pi$
$241$	17.2186	−	17.2186i	1.10915	−	1.10915i	0.993262	−	0.115886i	$-0.0369709\pi$
$242$	−27.0494	−	15.6170i	−1.73880	−	1.00390i
$243$		−	12.4963i		−	0.801640i
$244$	−17.9980	+	10.3912i	−1.15221	+	0.665227i
$245$	1.89088	+	7.05684i	0.120804	+	0.450845i
$246$		−	20.6296i		−	1.31529i
$247$	22.8128	−	6.11267i	1.45154	−	0.388940i
$248$	−3.50135	−	0.938184i	−0.222336	−	0.0595747i
$249$	4.10822	−	4.10822i	0.260348	−	0.260348i
$250$	22.4431	+	6.01360i	1.41942	+	0.380333i
$251$	−14.0526	+	24.3398i	−0.886993	+	1.53632i	−0.0435805	+	0.999050i	$0.513877\pi$
$251$	−14.0526	+	24.3398i	−0.886993	+	1.53632i	−0.843412	+	0.537267i	$0.819457\pi$
$252$	3.43184	−	0.919559i	0.216186	−	0.0579268i
$253$	7.81075	−	29.1501i	0.491058	−	1.83265i
$254$	−33.1588	−	19.1442i	−2.08057	−	1.20122i
$255$	−3.27547	+	5.67329i	−0.205118	+	0.355275i
$256$	11.2433	−	19.4741i	0.702709	−	1.21713i
$257$	11.7499	+	6.78382i	0.732940	+	0.423163i	0.819497	−	0.573084i	$-0.194253\pi$
$257$	11.7499	+	6.78382i	0.732940	+	0.423163i	−0.0865566	+	0.996247i	$0.527586\pi$
$258$	4.42355	−	16.5089i	0.275398	−	1.02780i
$259$	7.70505	−	2.06456i	0.478768	−	0.128286i
$260$	−8.59842	+	14.8929i	−0.533252	+	0.923619i
$261$	3.17440	+	0.850578i	0.196490	+	0.0526494i
$262$	13.9552	−	13.9552i	0.862153	−	0.862153i
$263$	−20.9400	−	5.61084i	−1.29121	−	0.345979i	−0.453092	−	0.891464i	$-0.649679\pi$
$263$	−20.9400	−	5.61084i	−1.29121	−	0.345979i	−0.838121	+	0.545484i	$0.816346\pi$
$264$	21.3018	−	5.70780i	1.31104	−	0.351291i
$265$		−	5.41773i		−	0.332808i
$266$	2.56369	+	9.56781i	0.157190	+	0.586640i
$267$	−2.27785	+	1.31511i	−0.139402	+	0.0804837i
$268$			34.3919i			2.10082i
$269$	17.2203	+	9.94216i	1.04994	+	0.606184i	0.922633	−	0.385679i	$-0.126033\pi$
$269$	17.2203	+	9.94216i	1.04994	+	0.606184i	0.127309	+	0.991863i	$0.459366\pi$
$270$	−10.5825	+	10.5825i	−0.644030	+	0.644030i
$271$	0.738388	−	0.738388i	0.0448539	−	0.0448539i	−0.684324	−	0.729178i	$-0.739903\pi$
$271$	0.738388	−	0.738388i	0.0448539	−	0.0448539i	0.729178	+	0.684324i	$0.239903\pi$
$272$	1.27225	−	4.74810i	0.0771415	−	0.287896i
$273$	3.78728	−	2.18659i	0.229217	−	0.132338i
$274$	6.60700	+	11.4437i	0.399143	+	0.691336i
$275$	12.8940	+	12.8940i	0.777536	+	0.777536i
$276$	13.7767	+	23.8620i	0.829261	+	1.43632i
$277$	−1.77380	−	6.61990i	−0.106577	−	0.397751i	0.891942	−	0.452149i	$-0.149343\pi$
$277$	−1.77380	−	6.61990i	−0.106577	−	0.397751i	−0.998519	+	0.0543982i	$0.982676\pi$
$278$	7.34481	−	27.4112i	0.440512	−	1.64401i
$279$	1.33819	+	0.358568i	0.0801156	+	0.0214669i
$280$	−2.64844	−	1.52908i	−0.158275	−	0.0913799i
$281$	−0.140338	−	0.523749i	−0.00837186	−	0.0312442i	0.961614	−	0.274407i	$-0.0884816\pi$
$281$	−0.140338	−	0.523749i	−0.00837186	−	0.0312442i	−0.969985	+	0.243163i	$0.921815\pi$
$282$	−14.8648	−	14.8648i	−0.885184	−	0.885184i
$283$	5.21407			0.309944			0.154972	−	0.987919i	$-0.450471\pi$
$283$	5.21407			0.309944			0.154972	+	0.987919i	$0.450471\pi$
$284$	0.733101			0.0435015
$285$	−5.70909	−	5.70909i	−0.338177	−	0.338177i
$286$	−43.3451	+	25.0253i	−2.56305	+	1.47978i
$287$	−5.10303	+	1.36735i	−0.301222	+	0.0807122i
$288$	−2.82117	+	4.88641i	−0.166239	+	0.287935i
$289$			2.53427i			0.149075i
$290$	−3.33571	−	5.77761i	−0.195879	−	0.339273i
$291$	13.8287			0.810653
$292$	17.4081	−	24.0229i	1.01873	−	1.40584i
$293$	6.91346			0.403888			0.201944	−	0.979397i	$-0.435274\pi$
$293$	6.91346			0.403888			0.201944	+	0.979397i	$0.435274\pi$
$294$	−9.70680	−	16.8127i	−0.566112	−	0.980535i
$295$			5.26413i			0.306489i
$296$	17.6713	−	30.6076i	1.02712	−	1.77903i
$297$	−26.6965	+	7.15329i	−1.54909	+	0.415076i
$298$	33.1950	−	19.1652i	1.92294	−	1.11021i
$299$	−18.7488	−	18.7488i	−1.08427	−	1.08427i
$300$	−16.6487			−0.961215
$301$	−4.37691			−0.252281
$302$	−13.9453	−	13.9453i	−0.802463	−	0.802463i
$303$	4.04403	+	15.0925i	0.232324	+	0.867044i
$304$	5.24668	+	3.02917i	0.300918	+	0.173735i
$305$	−6.60387	−	1.76950i	−0.378136	−	0.101321i
$306$	−3.52240	+	13.1458i	−0.201362	+	0.751494i
$307$	2.64352	+	9.86577i	0.150874	+	0.563069i	0.999423	+	0.0339532i	$0.0108097\pi$
$307$	2.64352	+	9.86577i	0.150874	+	0.563069i	−0.848549	+	0.529116i	$0.822524\pi$
$308$	−6.65978	−	11.5351i	−0.379476	−	0.657272i
$309$	3.39297	+	3.39297i	0.193019	+	0.193019i
$310$	−1.40619	−	2.43560i	−0.0798665	−	0.138333i
$311$	1.57819	−	0.911167i	0.0894908	−	0.0516676i	−0.454587	−	0.890702i	$-0.650213\pi$
$311$	1.57819	−	0.911167i	0.0894908	−	0.0516676i	0.544078	+	0.839035i	$0.316880\pi$
$312$	5.01488	−	18.7158i	0.283912	−	1.05957i
$313$	−21.3817	+	21.3817i	−1.20856	+	1.20856i	−0.237072	+	0.971492i	$0.576188\pi$
$313$	−21.3817	+	21.3817i	−1.20856	+	1.20856i	−0.971492	+	0.237072i	$0.923812\pi$
$314$	−16.7216	+	16.7216i	−0.943655	+	0.943655i
$315$	1.01222	+	0.584404i	0.0570320	+	0.0329274i
$316$			26.7985i			1.50753i
$317$	11.2866	−	6.51630i	0.633917	−	0.365992i	−0.148350	−	0.988935i	$-0.547396\pi$
$317$	11.2866	−	6.51630i	0.633917	−	0.365992i	0.782267	+	0.622943i	$0.214063\pi$
$318$	3.72608	+	13.9059i	0.208948	+	0.779806i
$319$		−	12.3204i		−	0.689809i
$320$	13.5181	−	3.62216i	0.755683	−	0.202485i
$321$	19.8515	+	5.31920i	1.10800	+	0.296889i
$322$	7.86335	−	7.86335i	0.438208	−	0.438208i
$323$	−23.2551	−	6.23119i	−1.29395	−	0.346713i
$324$	5.76116	−	9.97863i	0.320065	−	0.554368i
$325$	15.4753	−	4.14658i	0.858413	−	0.230011i
$326$	8.85342	−	33.0414i	0.490345	−	1.82999i
$327$	−7.92980	−	4.57827i	−0.438519	−	0.253179i
$328$	−11.7037	+	20.2713i	−0.646226	+	1.11930i
$329$	−2.69176	+	4.66227i	−0.148402	+	0.257039i
$330$	14.8179	+	8.55512i	0.815699	+	0.470944i
$331$	3.90739	−	14.5826i	0.214770	−	0.801531i	−0.771478	−	0.636256i	$-0.780482\pi$
$331$	3.90739	−	14.5826i	0.214770	−	0.801531i	0.986248	−	0.165275i	$-0.0528512\pi$
$332$	−15.0175	+	4.02392i	−0.824192	+	0.220842i
$333$	−6.75387	+	11.6980i	−0.370110	+	0.641049i
$334$	−31.1050	−	8.33456i	−1.70199	−	0.456047i
$335$	−8.00021	+	8.00021i	−0.437098	+	0.437098i
$336$	1.08358	+	0.290344i	0.0591141	+	0.0158396i
$337$	−1.00216	+	0.268529i	−0.0545914	+	0.0146277i	−0.286011	−	0.958226i	$-0.592330\pi$
$337$	−1.00216	+	0.268529i	−0.0545914	+	0.0146277i	0.231420	+	0.972854i	$0.425663\pi$
$338$			13.5637i			0.737770i
$339$	−5.24470	−	19.5735i	−0.284853	−	1.06309i
$340$	15.1817	−	8.76514i	0.823342	−	0.475357i
$341$		−	5.19376i		−	0.281258i
$342$	−14.5262	−	8.38668i	−0.785485	−	0.453500i
$343$	−7.36310	+	7.36310i	−0.397570	+	0.397570i
$344$	−13.7126	+	13.7126i	−0.739335	+	0.739335i
$345$	−2.34602	+	8.75547i	−0.126306	+	0.471379i
$346$	−24.6572	+	14.2358i	−1.32558	+	0.765324i
$347$	4.08495	+	7.07533i	0.219291	+	0.379824i	0.954592	−	0.297918i	$-0.0962921\pi$
$347$	4.08495	+	7.07533i	0.219291	+	0.379824i	−0.735300	+	0.677742i	$0.762959\pi$
$348$	7.95406	+	7.95406i	0.426382	+	0.426382i
$349$	5.08773	+	8.81221i	0.272340	+	0.471707i	0.969461	−	0.245247i	$-0.0788691\pi$
$349$	5.08773	+	8.81221i	0.272340	+	0.471707i	−0.697121	+	0.716954i	$0.745536\pi$
$350$	1.73910	+	6.49041i	0.0929588	+	0.346927i
$351$	−6.28490	+	23.4556i	−0.335463	+	1.25196i
$352$	20.4320	+	5.47473i	1.08903	+	0.291804i
$353$	−17.5985	−	10.1605i	−0.936672	−	0.540788i	−0.0477566	−	0.998859i	$-0.515207\pi$
$353$	−17.5985	−	10.1605i	−0.936672	−	0.540788i	−0.888916	+	0.458071i	$0.848541\pi$
$354$	−3.62045	−	13.5117i	−0.192425	−	0.718138i
$355$	0.170533	+	0.170533i	0.00905096	+	0.00905096i
$356$	7.03847			0.373038
$357$	−4.45797			−0.235941
$358$	24.3311	+	24.3311i	1.28594	+	1.28594i
$359$	9.81397	−	5.66610i	0.517961	−	0.299045i	−0.218139	−	0.975918i	$-0.569999\pi$
$359$	9.81397	−	5.66610i	0.517961	−	0.299045i	0.736100	+	0.676873i	$0.236665\pi$
$360$	5.00213	−	1.34032i	0.263635	−	0.0706408i
$361$	5.33620	−	9.24256i	0.280852	−	0.486451i
$362$			8.89174i			0.467339i
$363$	8.66249	+	15.0039i	0.454663	+	0.787499i
$364$	−11.7026			−0.613382
$365$	9.63764	−	1.53873i	0.504457	−	0.0805409i
$366$	18.1675			0.949628
$367$	17.5884	+	30.4641i	0.918109	+	1.59021i	0.802284	+	0.596942i	$0.203618\pi$
$367$	17.5884	+	30.4641i	0.918109	+	1.59021i	0.115825	+	0.993270i	$0.463049\pi$
$368$		−	6.80155i		−	0.354555i
$369$	4.47307	−	7.74758i	0.232859	−	0.403323i
$370$	26.4866	−	7.09707i	1.37697	−	0.368959i
$371$	3.19287	−	1.84340i	0.165765	−	0.0957047i
$372$	3.35310	+	3.35310i	0.173850	+	0.173850i
$373$	−2.32097			−0.120175			−0.0600877	−	0.998193i	$-0.519138\pi$
$373$	−2.32097			−0.120175			−0.0600877	+	0.998193i	$0.519138\pi$
$374$	51.0210			2.63823
$375$	−9.11317	−	9.11317i	−0.470602	−	0.470602i
$376$	6.17348	+	23.0398i	0.318373	+	1.18818i
$377$	−9.37448	−	5.41236i	−0.482810	−	0.278751i
$378$	−9.83739	−	2.63592i	−0.505981	−	0.135577i
$379$	−5.21756	+	19.4722i	−0.268008	+	1.00022i	0.692375	+	0.721538i	$0.256564\pi$
$379$	−5.21756	+	19.4722i	−0.268008	+	1.00022i	−0.960383	+	0.278683i	$0.910102\pi$
$380$	5.59195	+	20.8694i	0.286861	+	1.07058i
$381$	10.6190	+	18.3927i	0.544029	+	0.942285i
$382$	−1.67129	−	1.67129i	−0.0855104	−	0.0855104i
$383$	−12.4702	−	21.5989i	−0.637195	−	1.10365i	−0.986046	−	0.166476i	$-0.946761\pi$
$383$	−12.4702	−	21.5989i	−0.637195	−	1.10365i	0.348850	−	0.937178i	$-0.386572\pi$
$384$	−22.5727	+	13.0323i	−1.15191	+	0.665053i
$385$	1.13409	−	4.23247i	0.0577984	−	0.215707i
$386$	−8.54887	+	8.54887i	−0.435126	+	0.435126i
$387$	5.24088	−	5.24088i	0.266409	−	0.266409i
$388$	−32.0477	−	18.5027i	−1.62697	−	0.939334i
$389$		−	38.3854i		−	1.94622i	−0.230343	−	0.973110i	$-0.573985\pi$
$389$		−	38.3854i		−	1.94622i	0.230343	−	0.973110i	$-0.426015\pi$
$390$	13.0190	−	7.51655i	0.659245	−	0.380615i
$391$	6.99560	+	26.1079i	0.353783	+	1.32033i
$392$			22.0276i			1.11256i
$393$	−10.5740	+	2.83330i	−0.533388	+	0.142921i
$394$	−3.49742	−	0.937130i	−0.176197	−	0.0472119i
$395$	−6.23383	+	6.23383i	−0.313658	+	0.313658i
$396$	21.7864	+	5.83764i	1.09481	+	0.293352i
$397$	12.3845	−	21.4506i	0.621560	−	1.07657i	−0.367635	−	0.929970i	$-0.619832\pi$
$397$	12.3845	−	21.4506i	0.621560	−	1.07657i	0.989195	−	0.146604i	$-0.0468343\pi$
$398$	37.1084	−	9.94317i	1.86008	−	0.498406i
$399$	1.42204	−	5.30712i	0.0711910	−	0.265688i
$400$	3.55913	+	2.05487i	0.177957	+	0.102743i
$401$	−5.25749	+	9.10624i	−0.262547	+	0.454744i	−0.966918	−	0.255088i	$-0.917896\pi$
$401$	−5.25749	+	9.10624i	−0.262547	+	0.454744i	0.704371	+	0.709832i	$0.251229\pi$
$402$	15.0323	−	26.0367i	0.749744	−	1.29859i
$403$	−3.95189	−	2.28162i	−0.196858	−	0.113656i
$404$	10.8218	−	40.3875i	0.538405	−	2.00935i
$405$	3.66137	−	0.981062i	0.181935	−	0.0487494i
$406$	2.26997	−	3.93171i	0.112657	−	0.195127i
$407$	48.9140	+	13.1065i	2.42458	+	0.649663i
$408$	−13.9666	+	13.9666i	−0.691448	+	0.691448i
$409$	−32.4346	−	8.69083i	−1.60379	−	0.429734i	−0.657605	−	0.753363i	$-0.728430\pi$
$409$	−32.4346	−	8.69083i	−1.60379	−	0.429734i	−0.946184	+	0.323629i	$0.895097\pi$
$410$	−17.5420	+	4.70036i	−0.866338	+	0.232134i
$411$		−	7.32960i		−	0.361542i
$412$	−3.32335	−	12.4029i	−0.163730	−	0.611047i
$413$	−3.10235	+	1.79114i	−0.152656	+	0.0881362i
$414$			18.8310i			0.925495i
$415$	−4.42939	−	2.55731i	−0.217430	−	0.125533i
$416$	13.1415	−	13.1415i	0.644313	−	0.644313i
$417$	−11.1305	+	11.1305i	−0.545064	+	0.545064i
$418$	−16.2751	+	60.7394i	−0.796040	+	2.97086i
$419$	20.2320	−	11.6809i	0.988397	−	0.570651i	0.0836021	−	0.996499i	$-0.473358\pi$
$419$	20.2320	−	11.6809i	0.988397	−	0.570651i	0.904795	+	0.425848i	$0.140024\pi$
$420$	2.00032	+	3.46465i	0.0976056	+	0.169058i
$421$	−18.3177	−	18.3177i	−0.892750	−	0.892750i	0.102031	−	0.994781i	$-0.467466\pi$
$421$	−18.3177	−	18.3177i	−0.892750	−	0.892750i	−0.994781	+	0.102031i	$0.967466\pi$
$422$	−17.5202	−	30.3458i	−0.852868	−	1.47721i
$423$	−2.35947	−	8.80566i	−0.114721	−	0.428146i
$424$	4.22779	−	15.7783i	0.205320	−	0.766264i
$425$	−15.7753	−	4.22698i	−0.765215	−	0.205039i
$426$	−0.555001	−	0.320430i	−0.0268899	−	0.0155249i
$427$	−1.20416	−	4.49398i	−0.0582734	−	0.217479i
$428$	−38.8884	−	38.8884i	−1.87974	−	1.87974i
$429$	27.7623			1.34038
$430$	−15.0459			−0.725580
$431$	−9.86678	−	9.86678i	−0.475266	−	0.475266i	0.428348	−	0.903614i	$-0.359096\pi$
$431$	−9.86678	−	9.86678i	−0.475266	−	0.475266i	−0.903614	+	0.428348i	$0.859096\pi$
$432$	−5.39451	+	3.11452i	−0.259544	+	0.149848i
$433$	14.5873	−	3.90867i	0.701023	−	0.187838i	0.109334	−	0.994005i	$-0.465128\pi$
$433$	14.5873	−	3.90867i	0.701023	−	0.187838i	0.591689	+	0.806167i	$0.298461\pi$
$434$	0.956926	−	1.65744i	0.0459339	−	0.0795599i
$435$			3.70053i			0.177427i
$436$	12.2514	+	21.2201i	0.586736	+	1.01626i
$437$	−33.3124			−1.59355
$438$	−23.6791	+	10.5779i	−1.13143	+	0.505432i
$439$	−4.12907			−0.197070			−0.0985349	−	0.995134i	$-0.531416\pi$
$439$	−4.12907			−0.197070			−0.0985349	+	0.995134i	$0.531416\pi$
$440$	−9.70705	−	16.8131i	−0.462765	−	0.801533i
$441$		−	8.41882i		−	0.400896i
$442$	22.4136	−	38.8215i	1.06611	−	1.84655i
$443$	−0.759233	+	0.203436i	−0.0360723	+	0.00966553i	−0.276810	−	0.960925i	$-0.589277\pi$
$443$	−0.759233	+	0.203436i	−0.0360723	+	0.00966553i	0.240738	+	0.970590i	$0.422611\pi$
$444$	−40.0405	+	23.1174i	−1.90024	+	1.09710i
$445$	1.63728	+	1.63728i	0.0776146	+	0.0776146i
$446$	−8.15749			−0.386269
$447$	−21.2612			−1.00562
$448$	6.73425	+	6.73425i	0.318163	+	0.318163i
$449$	4.65867	+	17.3864i	0.219856	+	0.820514i	0.984400	+	0.175943i	$0.0562974\pi$
$449$	4.65867	+	17.3864i	0.219856	+	0.820514i	−0.764544	+	0.644571i	$0.777036\pi$
$450$	−9.85395	−	5.68918i	−0.464520	−	0.268191i
$451$	−32.3956	−	8.68037i	−1.52545	−	0.408743i
$452$	−14.0348	+	52.3785i	−0.660140	+	2.46368i
$453$	2.83130	+	10.5666i	0.133026	+	0.496460i
$454$	−6.34059	−	10.9822i	−0.297579	−	0.515421i
$455$	−2.72224	−	2.72224i	−0.127621	−	0.127621i
$456$	−12.1717	−	21.0821i	−0.569994	−	0.987258i
$457$	−10.8992	+	6.29264i	−0.509842	+	0.294357i	−0.732769	−	0.680478i	$-0.761772\pi$
$457$	−10.8992	+	6.29264i	−0.509842	+	0.294357i	0.222927	+	0.974835i	$0.428439\pi$
$458$	−11.3397	+	42.3203i	−0.529869	+	1.97750i
$459$	17.5036	−	17.5036i	0.816998	−	0.816998i
$460$	17.1516	−	17.1516i	0.799699	−	0.799699i
$461$	26.0626	+	15.0472i	1.21385	+	0.700819i	0.963597	−	0.267360i	$-0.0861513\pi$
$461$	26.0626	+	15.0472i	1.21385	+	0.700819i	0.250258	+	0.968179i	$0.419485\pi$
$462$			11.6437i			0.541712i
$463$	9.45952	−	5.46146i	0.439621	−	0.253815i	−0.263816	−	0.964573i	$-0.584981\pi$
$463$	9.45952	−	5.46146i	0.439621	−	0.253815i	0.703437	+	0.710758i	$0.251648\pi$
$464$	−0.718674	−	2.68213i	−0.0333636	−	0.124515i
$465$			1.55999i			0.0723427i
$466$	40.3024	−	10.7990i	1.86697	−	0.500254i
$467$	−11.3604	−	3.04402i	−0.525698	−	0.140860i	−0.0137969	−	0.999905i	$-0.504392\pi$
$467$	−11.3604	−	3.04402i	−0.525698	−	0.140860i	−0.511901	+	0.859045i	$0.671058\pi$
$468$	14.0126	−	14.0126i	0.647732	−	0.647732i
$469$	−7.43692	−	1.99272i	−0.343405	−	0.0920151i
$470$	−9.25311	+	16.0269i	−0.426814	+	0.739264i
$471$	12.6702	−	3.39497i	0.583812	−	0.156432i
$472$	−4.10793	+	15.3310i	−0.189083	+	0.705667i
$473$	−24.0634	−	13.8930i	−1.10644	−	0.638801i
$474$	11.7133	−	20.2881i	0.538010	−	0.931861i
$475$	10.0643	−	17.4318i	0.461780	−	0.799826i
$476$	10.3312	+	5.96475i	0.473532	+	0.273394i
$477$	−1.61584	+	6.03039i	−0.0739841	+	0.276112i
$478$	−53.2740	+	14.2747i	−2.43670	+	0.652911i
$479$	6.41403	−	11.1094i	0.293065	−	0.507603i	−0.681468	−	0.731848i	$-0.738658\pi$
$479$	6.41403	−	11.1094i	0.293065	−	0.507603i	0.974533	+	0.224245i	$0.0719915\pi$
$480$	−6.13691	−	1.64438i	−0.280110	−	0.0750553i
$481$	31.4606	−	31.4606i	1.43448	−	1.43448i
$482$	55.0226	+	14.7433i	2.50621	+	0.671538i
$483$	−5.95817	+	1.59649i	−0.271106	+	0.0726427i
$484$		−	46.3615i		−	2.10734i
$485$	−3.15081	−	11.7590i	−0.143071	−	0.533948i
$486$	25.3161	−	14.6163i	1.14836	−	0.663008i
$487$		−	32.5222i		−	1.47372i	−0.676045	−	0.736860i	$-0.736307\pi$
$487$		−	32.5222i		−	1.47372i	0.676045	−	0.736860i	$-0.263693\pi$
$488$	−17.8520	−	10.3068i	−0.808120	−	0.466568i
$489$	−13.4167	+	13.4167i	−0.606724	+	0.606724i
$490$	−12.0847	+	12.0847i	−0.545931	+	0.545931i
$491$	−5.89636	+	22.0055i	−0.266099	+	0.993095i	0.695475	+	0.718550i	$0.255194\pi$
$491$	−5.89636	+	22.0055i	−0.266099	+	0.993095i	−0.961574	+	0.274545i	$0.911473\pi$
$492$	26.5187	−	15.3106i	1.19555	−	0.690254i
$493$	5.51730	+	9.55625i	0.248487	+	0.430392i
$494$	39.0665	+	39.0665i	1.75768	+	1.75768i
$495$	3.70998	+	6.42587i	0.166751	+	0.288821i
$496$	−0.302963	−	1.13067i	−0.0136034	−	0.0507688i
$497$	−0.0424769	+	0.158526i	−0.00190535	+	0.00711087i
$498$	13.1280	+	3.51762i	0.588278	+	0.157629i
$499$	13.0805	+	7.55205i	0.585565	+	0.338076i	0.763342	−	0.645995i	$-0.223557\pi$
$499$	13.0805	+	7.55205i	0.585565	+	0.338076i	−0.177777	+	0.984071i	$0.556891\pi$
$500$	8.92617	+	33.3129i	0.399191	+	1.48980i
$501$	12.6304	+	12.6304i	0.564286	+	0.564286i
$502$	−65.7463			−2.93440
$503$	−6.79430			−0.302943			−0.151471	−	0.988462i	$-0.548401\pi$
$503$	−6.79430			−0.302943			−0.151471	+	0.988462i	$0.548401\pi$
$504$	2.49189	+	2.49189i	0.110998	+	0.110998i
$505$	11.9123	−	6.87754i	0.530088	−	0.306047i
$506$	68.1906	−	18.2716i	3.03144	−	0.812272i
$507$	3.76180	−	6.51562i	0.167067	−	0.289369i
$508$		−	56.8328i		−	2.52155i
$509$	5.86610	+	10.1604i	0.260010	+	0.450351i	0.966244	−	0.257627i	$-0.0829407\pi$
$509$	5.86610	+	10.1604i	0.260010	+	0.450351i	−0.706234	+	0.707978i	$0.749607\pi$
$510$	−15.3246			−0.678584
$511$	4.18608	+	5.15626i	0.185181	+	0.228100i
$512$	12.4283			0.549260
$513$	15.2542	+	26.4211i	0.673490	+	1.16652i
$514$			31.7387i			1.39993i
$515$	2.11208	−	3.65822i	0.0930692	−	0.161201i
$516$	24.5047	−	6.56601i	1.07876	−	0.289053i
$517$	−29.5975	+	17.0881i	−1.30170	+	0.751535i
$518$	13.1947	+	13.1947i	0.579743	+	0.579743i
$519$	15.7928			0.693227
$520$	−17.0573			−0.748011
$521$	9.59152	+	9.59152i	0.420212	+	0.420212i	0.885277	−	0.465064i	$-0.153969\pi$
$521$	9.59152	+	9.59152i	0.420212	+	0.420212i	−0.465064	+	0.885277i	$0.653969\pi$
$522$	1.98975	+	7.42585i	0.0870890	+	0.325020i
$523$	11.6275	+	6.71312i	0.508433	+	0.293544i	0.732189	−	0.681101i	$-0.238499\pi$
$523$	11.6275	+	6.71312i	0.508433	+	0.293544i	−0.223756	+	0.974645i	$0.571832\pi$
$524$	28.2960	+	7.58188i	1.23611	+	0.331216i
$525$	0.964652	−	3.60013i	0.0421009	−	0.157123i
$526$	−13.1254	−	48.9847i	−0.572295	−	2.13583i
$527$	2.32586	+	4.02851i	0.101316	+	0.175485i
$528$	5.03570	+	5.03570i	0.219151	+	0.219151i
$529$	7.19951	+	12.4699i	0.313022	+	0.542171i
$530$	10.9757	−	6.33682i	0.476754	−	0.275254i
$531$	1.57003	−	5.85942i	0.0681334	−	0.254277i
$532$	−10.3964	+	10.3964i	−0.450743	+	0.450743i
$533$	−20.8362	+	20.8362i	−0.902517	+	0.902517i
$534$	−5.32854	−	3.07644i	−0.230589	−	0.133130i
$535$		−	18.0924i		−	0.782201i
$536$	−29.5425	+	17.0564i	−1.27604	+	0.736723i
$537$	−4.93990	−	18.4360i	−0.213172	−	0.795571i
$538$			46.5152i			2.00541i
$539$	−30.4861	+	8.16872i	−1.31313	+	0.351852i
$540$	−21.4574	−	5.74950i	−0.923381	−	0.247419i
$541$	−29.1136	+	29.1136i	−1.25169	+	1.25169i	−0.296733	+	0.954961i	$0.595897\pi$
$541$	−29.1136	+	29.1136i	−1.25169	+	1.25169i	−0.954961	+	0.296733i	$0.904103\pi$
$542$	2.35954	+	0.632237i	0.101351	+	0.0271569i
$543$	2.46605	−	4.27133i	0.105829	−	0.183300i
$544$	−18.2996	+	4.90337i	−0.784590	+	0.210230i
$545$	−2.08628	+	7.78610i	−0.0893664	+	0.333520i
$546$	8.85956	+	5.11507i	0.379154	+	0.218905i
$547$	10.1139	−	17.5177i	0.432437	−	0.749003i	−0.564645	−	0.825334i	$-0.690987\pi$
$547$	10.1139	−	17.5177i	0.432437	−	0.749003i	0.997083	+	0.0763305i	$0.0243204\pi$
$548$	−9.80697	+	16.9862i	−0.418933	+	0.725613i
$549$	6.82291	+	3.93921i	0.291195	+	0.168121i
$550$	−11.0403	+	41.2031i	−0.470762	+	1.75691i
$551$	−13.1365	+	3.51990i	−0.559632	+	0.149953i
$552$	−13.6649	+	23.6683i	−0.581617	+	1.00739i
$553$	−5.79492	−	1.55274i	−0.246425	−	0.0660294i
$554$	11.3364	−	11.3364i	0.481639	−	0.481639i
$555$	−14.6917	−	3.93663i	−0.623629	−	0.167101i
$556$	40.6873	−	10.9021i	1.72553	−	0.462353i
$557$			3.73401i			0.158215i	0.996866	+	0.0791075i	$0.0252070\pi$
$557$			3.73401i			0.158215i	−0.996866	+	0.0791075i	$0.974793\pi$
$558$	0.838795	+	3.13043i	0.0355090	+	0.132522i
$559$	−21.1421	+	12.2064i	−0.894217	+	0.516276i
$560$		−	0.987555i		−	0.0417318i
$561$	−24.5090	−	14.1503i	−1.03477	−	0.597426i
$562$	0.896909	−	0.896909i	0.0378338	−	0.0378338i
$563$	10.1578	−	10.1578i	0.428102	−	0.428102i	−0.459879	−	0.887981i	$-0.652107\pi$
$563$	10.1578	−	10.1578i	0.428102	−	0.428102i	0.887981	+	0.459879i	$0.152107\pi$
$564$	8.07607	−	30.1403i	0.340064	−	1.26914i
$565$	−15.4490	+	8.91947i	−0.649943	+	0.375245i
$566$	6.09861	+	10.5631i	0.256344	+	0.444001i
$567$	1.82397	+	1.82397i	0.0765997	+	0.0765997i
$568$	0.363575	+	0.629731i	0.0152553	+	0.0264229i
$569$	6.43210	+	24.0049i	0.269648	+	1.00634i	0.959344	+	0.282240i	$0.0910774\pi$
$569$	6.43210	+	24.0049i	0.269648	+	1.00634i	−0.689696	+	0.724099i	$0.742256\pi$
$570$	4.88835	−	18.2436i	0.204751	−	0.764139i
$571$	−10.0624	−	2.69622i	−0.421100	−	0.112833i	0.0420454	−	0.999116i	$-0.486613\pi$
$571$	−10.0624	−	2.69622i	−0.421100	−	0.112833i	−0.463145	+	0.886282i	$0.653279\pi$
$572$	−64.3384	−	37.1458i	−2.69012	−	1.55314i
$573$	0.339319	+	1.26636i	0.0141752	+	0.0529027i
$574$	−8.73883	−	8.73883i	−0.364752	−	0.364752i
$575$	−22.5978			−0.942393
$576$	−16.1271			−0.671961
$577$	23.6686	+	23.6686i	0.985338	+	0.985338i	0.999894	−	0.0145564i	$-0.00463360\pi$
$577$	23.6686	+	23.6686i	0.985338	+	0.985338i	−0.0145564	+	0.999894i	$0.504634\pi$
$578$	−5.13414	+	2.96419i	−0.213552	+	0.123294i
$579$	6.47760	−	1.73567i	0.269200	−	0.0721318i
$580$	4.95129	−	8.57589i	0.205591	−	0.356094i
$581$		−	3.48054i		−	0.144397i
$582$	16.1747	+	28.0154i	0.670462	+	1.16127i
$583$	23.4050			0.969335
$584$	29.2690	+	3.03953i	1.21116	+	0.125776i
$585$	6.51919			0.269535
$586$	8.08629	+	14.0059i	0.334042	+	0.578577i
$587$		−	28.6391i		−	1.18206i	−0.806649	−	0.591031i	$-0.798721\pi$
$587$		−	28.6391i		−	1.18206i	0.806649	−	0.591031i	$-0.201279\pi$
$588$	14.4081	−	24.9556i	0.594181	−	1.02915i
$589$	−5.53778	+	1.48384i	−0.228180	+	0.0611407i
$590$	−10.6645	+	6.15716i	−0.439051	+	0.253486i
$591$	1.42015	+	1.42015i	0.0584173	+	0.0584173i
$592$	11.4130			0.469073
$593$	15.1677			0.622864			0.311432	−	0.950268i	$-0.399191\pi$
$593$	15.1677			0.622864			0.311432	+	0.950268i	$0.399191\pi$
$594$	−45.7171	−	45.7171i	−1.87580	−	1.87580i
$595$	1.01573	+	3.79076i	0.0416409	+	0.155406i
$596$	49.2725	+	28.4475i	2.01828	+	1.16525i
$597$	−20.5835	−	5.51533i	−0.842426	−	0.225727i
$598$	16.0535	−	59.9124i	0.656475	−	2.45000i
$599$	−4.03286	−	15.0509i	−0.164778	−	0.614961i	−0.998068	−	0.0621251i	$-0.980212\pi$
$599$	−4.03286	−	15.0509i	−0.164778	−	0.614961i	0.833290	−	0.552836i	$-0.186454\pi$
$600$	−8.25680	−	14.3012i	−0.337083	−	0.583844i
$601$	21.0639	+	21.0639i	0.859216	+	0.859216i	0.991246	−	0.132030i	$-0.0421495\pi$
$601$	21.0639	+	21.0639i	0.859216	+	0.859216i	−0.132030	+	0.991246i	$0.542149\pi$
$602$	−5.11944	−	8.86713i	−0.208653	−	0.361397i
$603$	11.2910	−	6.51885i	0.459804	−	0.265468i
$604$	7.57654	−	28.2760i	0.308285	−	1.15054i
$605$	10.7846	−	10.7846i	0.438455	−	0.438455i
$606$	−25.8457	+	25.8457i	−1.04991	+	1.04991i
$607$	8.70788	+	5.02749i	0.353442	+	0.204060i	0.666200	−	0.745773i	$-0.267920\pi$
$607$	8.70788	+	5.02749i	0.353442	+	0.204060i	−0.312758	+	0.949833i	$0.601253\pi$
$608$		−	23.3494i		−	0.946944i
$609$	−2.18086	+	1.25912i	−0.0883729	+	0.0510221i
$610$	−4.13938	−	15.4484i	−0.167599	−	0.625486i
$611$			30.0273i			1.21478i
$612$	−19.5127	+	5.22841i	−0.788754	+	0.211346i
$613$	−21.4092	−	5.73659i	−0.864711	−	0.231699i	−0.200912	−	0.979609i	$-0.564390\pi$
$613$	−21.4092	−	5.73659i	−0.864711	−	0.231699i	−0.663799	+	0.747911i	$0.731057\pi$
$614$	−16.8949	+	16.8949i	−0.681824	+	0.681824i
$615$	9.73028	+	2.60722i	0.392363	+	0.105133i
$616$	6.60572	−	11.4415i	0.266152	−	0.460989i
$617$	41.3676	−	11.0844i	1.66540	−	0.446241i	0.701532	−	0.712638i	$-0.252500\pi$
$617$	41.3676	−	11.0844i	1.66540	−	0.446241i	0.963864	+	0.266396i	$0.0858330\pi$
$618$	−2.90520	+	10.8423i	−0.116864	+	0.436143i
$619$	21.2593	+	12.2740i	0.854482	+	0.493335i	0.862160	−	0.506635i	$-0.169111\pi$
$619$	21.2593	+	12.2740i	0.854482	+	0.493335i	−0.00767880	+	0.999971i	$0.502444\pi$
$620$	2.08726	−	3.61524i	0.0838263	−	0.145191i
$621$	17.1255	−	29.6623i	0.687223	−	1.19031i
$622$	3.69184	+	2.13149i	0.148029	+	0.0854648i
$623$	−0.407819	+	1.52200i	−0.0163389	+	0.0609777i
$624$	6.04381	−	1.61943i	0.241946	−	0.0648292i
$625$	3.56513	−	6.17499i	0.142605	−	0.246999i
$626$	−68.3258	−	18.3079i	−2.73085	−	0.731729i
$627$	24.6637	−	24.6637i	0.984973	−	0.984973i
$628$	−33.9053	−	9.08491i	−1.35297	−	0.362527i
$629$	−43.8092	+	11.7386i	−1.74679	+	0.468050i
$630$			2.73418i			0.108932i
$631$	6.35926	+	23.7331i	0.253158	+	0.944799i	0.969106	+	0.246645i	$0.0793282\pi$
$631$	6.35926	+	23.7331i	0.253158	+	0.944799i	−0.715948	+	0.698154i	$0.754005\pi$
$632$	−23.0198	+	13.2905i	−0.915678	+	0.528667i
$633$			19.4363i			0.772525i
$634$	26.4026	+	15.2435i	1.04858	+	0.605398i
$635$	13.2204	−	13.2204i	0.524635	−	0.524635i
$636$	−15.1103	+	15.1103i	−0.599161	+	0.599161i
$637$	−7.17705	+	26.7851i	−0.284365	+	1.06127i
$638$	24.9597	−	14.4105i	0.988164	−	0.570517i
$639$	−0.138956	−	0.240679i	−0.00549703	−	0.00952113i
$640$	16.2249	+	16.2249i	0.641345	+	0.641345i
$641$	−7.20497	−	12.4794i	−0.284579	−	0.492906i	0.687928	−	0.725779i	$-0.258521\pi$
$641$	−7.20497	−	12.4794i	−0.284579	−	0.492906i	−0.972507	+	0.232874i	$0.925187\pi$
$642$	12.4432	+	46.4385i	0.491092	+	1.83278i
$643$	−5.18525	+	19.3516i	−0.204486	+	0.763153i	0.785119	+	0.619344i	$0.212602\pi$
$643$	−5.18525	+	19.3516i	−0.204486	+	0.763153i	−0.989606	+	0.143808i	$0.954065\pi$
$644$	15.9440	+	4.27218i	0.628282	+	0.168348i
$645$	7.22763	+	4.17288i	0.284588	+	0.164307i
$646$	−14.5766	−	54.4005i	−0.573508	−	2.14036i
$647$	−18.6393	−	18.6393i	−0.732786	−	0.732786i	0.238385	−	0.971171i	$-0.423382\pi$
$647$	−18.6393	−	18.6393i	−0.732786	−	0.732786i	−0.971171	+	0.238385i	$0.923382\pi$
$648$	11.4288			0.448966
$649$	−22.7414			−0.892678
$650$	26.5011	+	26.5011i	1.03946	+	1.03946i
$651$	−0.919359	+	0.530792i	−0.0360325	+	0.0208034i
$652$	49.0444	−	13.1414i	1.92073	−	0.514657i
$653$	20.7874	−	36.0049i	0.813475	−	1.40898i	−0.0969431	−	0.995290i	$-0.530906\pi$
$653$	20.7874	−	36.0049i	0.813475	−	1.40898i	0.910418	−	0.413690i	$-0.135760\pi$
$654$		−	21.4198i		−	0.837581i
$655$	4.81849	+	8.34587i	0.188274	+	0.326100i
$656$	−7.55881			−0.295122
$657$	−11.1864	−	1.16169i	−0.436425	−	0.0453218i
$658$	−12.5936			−0.490951
$659$	17.3187	+	29.9968i	0.674640	+	1.16851i	0.976574	+	0.215182i	$0.0690344\pi$
$659$	17.3187	+	29.9968i	0.674640	+	1.16851i	−0.301934	+	0.953329i	$0.597632\pi$
$660$			25.3973i			0.988588i
$661$	−15.7844	+	27.3394i	−0.613941	+	1.06338i	0.376628	+	0.926365i	$0.377084\pi$
$661$	−15.7844	+	27.3394i	−0.613941	+	1.06338i	−0.990569	+	0.137013i	$0.956250\pi$
$662$	34.1129	−	9.14052i	1.32584	−	0.355257i
$663$	−21.5337	+	12.4325i	−0.836298	+	0.482837i
$664$	−10.9043	−	10.9043i	−0.423170	−	0.423170i
$665$	−4.83682			−0.187564
$666$	−31.5985			−1.22442
$667$	10.7963	+	10.7963i	0.418033	+	0.418033i
$668$	−12.3713	−	46.1702i	−0.478658	−	1.78638i
$669$	3.91862	+	2.26242i	0.151503	+	0.0874702i
$670$	−25.5649	−	6.85010i	−0.987659	−	0.264642i
$671$	7.64437	−	28.5292i	0.295108	−	1.10136i
$672$	−1.11901	−	4.17621i	−0.0431669	−	0.161101i
$673$	4.53549	+	7.85569i	0.174830	+	0.302815i	0.940102	−	0.340892i	$-0.110729\pi$
$673$	4.53549	+	7.85569i	0.174830	+	0.302815i	−0.765272	+	0.643707i	$0.777396\pi$
$674$	−1.71619	−	1.71619i	−0.0661051	−	0.0661051i
$675$	10.3478	+	17.9230i	0.398288	+	0.689855i
$676$	−17.4358	+	10.0665i	−0.670606	+	0.387174i
$677$	6.02485	−	22.4850i	0.231554	−	0.864170i	−0.748119	−	0.663565i	$-0.769043\pi$
$677$	6.02485	−	22.4850i	0.231554	−	0.864170i	0.979672	−	0.200605i	$-0.0642908\pi$
$678$	33.5192	−	33.5192i	1.28730	−	1.28730i
$679$	5.85793	−	5.85793i	0.224807	−	0.224807i
$680$	15.0584	+	8.69400i	0.577465	+	0.333400i
$681$			7.03405i			0.269546i
$682$	10.5220	−	6.07486i	0.402907	−	0.232618i
$683$	6.13522	+	22.8969i	0.234757	+	0.876127i	0.978258	+	0.207392i	$0.0664974\pi$
$683$	6.13522	+	22.8969i	0.234757	+	0.876127i	−0.743501	+	0.668735i	$0.766836\pi$
$684$		−	24.8972i		−	0.951970i
$685$	−6.23259	+	1.67002i	−0.238135	+	0.0638081i
$686$	−23.5290	−	6.30458i	−0.898341	−	0.240710i
$687$	17.1845	−	17.1845i	0.655629	−	0.655629i
$688$	−6.04897	−	1.62082i	−0.230615	−	0.0617930i
$689$	10.2818	−	17.8086i	0.391706	−	0.678455i
$690$	−20.4816	+	5.48803i	−0.779721	+	0.208926i
$691$	−1.27257	+	4.74930i	−0.0484109	+	0.180672i	−0.985898	−	0.167349i	$-0.946479\pi$
$691$	−1.27257	+	4.74930i	−0.0484109	+	0.180672i	0.937487	+	0.348021i	$0.113146\pi$
$692$	−36.5995	−	21.1307i	−1.39130	−	0.803269i
$693$	−2.52467	+	4.37285i	−0.0959042	+	0.166111i
$694$	−9.55588	+	16.5513i	−0.362736	+	0.628277i
$695$	12.0007	+	6.92860i	0.455212	+	0.262817i
$696$	−2.88776	+	10.7773i	−0.109460	+	0.408511i
$697$	29.0147	−	7.77447i	1.09901	−	0.294479i
$698$	−11.9017	+	20.6143i	−0.450485	+	0.780264i
$699$	−22.3551	−	5.99004i	−0.845548	−	0.226564i
$700$	−7.05252	+	7.05252i	−0.266560	+	0.266560i
$701$	10.9520	+	2.93459i	0.413653	+	0.110838i	0.459643	−	0.888104i	$-0.347978\pi$
$701$	10.9520	+	2.93459i	0.413653	+	0.110838i	−0.0459898	+	0.998942i	$0.514644\pi$
$702$	−54.8694	+	14.7022i	−2.07091	+	0.554899i
$703$		−	55.8984i		−	2.10825i
$704$	15.6480	+	58.3990i	0.589755	+	2.20100i
$705$	8.88985	−	5.13256i	0.334811	−	0.193303i
$706$		−	47.5367i		−	1.78907i
$707$	8.10638	+	4.68022i	0.304872	+	0.176018i
$708$	14.6819	−	14.6819i	0.551779	−	0.551779i
$709$	21.5732	−	21.5732i	0.810198	−	0.810198i	−0.174465	−	0.984663i	$-0.555820\pi$
$709$	21.5732	−	21.5732i	0.810198	−	0.810198i	0.984663	+	0.174465i	$0.0558197\pi$
$710$	−0.146017	+	0.544944i	−0.00547993	+	0.0204514i
$711$	8.79803	−	5.07954i	0.329952	−	0.190498i
$712$	3.49067	+	6.04602i	0.130818	+	0.226584i
$713$	4.55125	+	4.55125i	0.170446	+	0.170446i
$714$	−5.21425	−	9.03134i	−0.195138	−	0.337990i
$715$	−6.32552	−	23.6072i	−0.236561	−	0.882857i
$716$	−13.2191	+	49.3345i	−0.494022	+	1.84372i
$717$	29.5503	+	7.91797i	1.10358	+	0.295702i
$718$	22.9577	+	13.2547i	0.856775	+	0.494659i
$719$	−2.51749	−	9.39541i	−0.0938866	−	0.350390i	0.902962	−	0.429721i	$-0.141388\pi$
$719$	−2.51749	−	9.39541i	−0.0938866	−	0.350390i	−0.996848	+	0.0793315i	$0.974721\pi$
$720$	1.18249	+	1.18249i	0.0440688	+	0.0440688i
$721$	2.87457			0.107055
$722$	24.9658			0.929132
$723$	−22.3424	−	22.3424i	−0.830921	−	0.830921i
$724$	−11.4300	+	6.59914i	−0.424794	+	0.245255i
$725$	−8.91123	+	2.38776i	−0.330955	+	0.0886790i
$726$	−20.2641	+	35.0984i	−0.752071	+	1.30263i
$727$		−	0.157300i		−	0.00583393i	−0.999996	−	0.00291697i	$-0.999071\pi$
$727$		−	0.157300i		−	0.00583393i	0.999996	−	0.00291697i	$-0.000928500\pi$
$728$	−5.80380	−	10.0525i	−0.215103	−	0.372570i
$729$	−26.1700			−0.969258
$730$	14.3899	+	17.7250i	0.532595	+	0.656031i
$731$	24.8862			0.920449
$732$	13.4833	+	23.3537i	0.498356	+	0.863178i
$733$		−	20.1248i		−	0.743326i	−0.928368	−	0.371663i	$-0.878788\pi$
$733$		−	20.1248i		−	0.743326i	0.928368	−	0.371663i	$-0.121212\pi$
$734$	−41.1445	+	71.2644i	−1.51867	+	2.63042i
$735$	9.15674	−	2.45354i	0.337751	−	0.0905002i
$736$	−22.7018	+	13.1069i	−0.836800	+	0.483127i
$737$	−34.5615	−	34.5615i	−1.27309	−	1.27309i
$738$	20.9276			0.770356
$739$	−23.8308			−0.876629			−0.438314	−	0.898822i	$-0.644424\pi$
$739$	−23.8308			−0.876629			−0.438314	+	0.898822i	$0.644424\pi$
$740$	28.7805	+	28.7805i	1.05799	+	1.05799i
$741$	−7.93161	−	29.6012i	−0.291375	−	1.08743i
$742$	7.46905	+	4.31226i	0.274197	+	0.158308i
$743$	−16.1419	−	4.32521i	−0.592189	−	0.158676i	−0.0497353	−	0.998762i	$-0.515838\pi$
$743$	−16.1419	−	4.32521i	−0.592189	−	0.158676i	−0.542453	+	0.840086i	$0.682504\pi$
$744$	−1.21736	+	4.54324i	−0.0446305	+	0.166563i
$745$	4.84429	+	18.0791i	0.177481	+	0.662368i
$746$	−2.71472	−	4.70203i	−0.0993928	−	0.172153i
$747$	4.16757	+	4.16757i	0.152483	+	0.152483i
$748$	37.8661	+	65.5859i	1.38452	+	2.39806i
$749$	10.6625	−	6.15599i	0.389599	−	0.224935i
$750$	7.80306	−	29.1214i	0.284927	−	1.06336i
$751$	7.10367	−	7.10367i	0.259217	−	0.259217i	−0.565519	−	0.824735i	$-0.691324\pi$
$751$	7.10367	−	7.10367i	0.259217	−	0.259217i	0.824735	+	0.565519i	$0.191324\pi$
$752$	−5.44654	+	5.44654i	−0.198615	+	0.198615i
$753$	31.5826	+	18.2342i	1.15093	+	0.664492i
$754$		−	25.3222i		−	0.922179i
$755$	8.33999	−	4.81509i	0.303523	−	0.175239i
$756$	−3.91258	−	14.6020i	−0.142299	−	0.531068i
$757$			18.1566i			0.659912i	0.943996	+	0.329956i	$0.107034\pi$
$757$			18.1566i			0.659912i	−0.943996	+	0.329956i	$0.892966\pi$
$758$	−45.5512	+	12.2054i	−1.65449	+	0.443320i
$759$	−37.8243	−	10.1350i	−1.37293	−	0.367877i
$760$	−15.1535	+	15.1535i	−0.549674	+	0.549674i
$761$	−0.316590	−	0.0848300i	−0.0114764	−	0.00307509i	0.253076	−	0.967446i	$-0.418558\pi$
$761$	−0.316590	−	0.0848300i	−0.0114764	−	0.00307509i	−0.264553	+	0.964371i	$0.585224\pi$
$762$	−24.8410	+	43.0258i	−0.899894	+	1.55866i
$763$	−5.29850	+	1.41973i	−0.191819	+	0.0513977i
$764$	0.908014	−	3.38876i	0.0328508	−	0.122601i
$765$	−5.75525	−	3.32279i	−0.208081	−	0.120136i
$766$	29.1713	−	50.5262i	1.05400	−	1.82559i
$767$	−9.99032	+	17.3037i	−0.360730	+	0.624802i
$768$	−25.2689	−	14.5890i	−0.911814	−	0.526436i
$769$	−9.88204	+	36.8803i	−0.356355	+	1.32994i	0.522415	+	0.852692i	$0.325031\pi$
$769$	−9.88204	+	36.8803i	−0.356355	+	1.32994i	−0.878770	+	0.477245i	$0.841635\pi$
$770$	9.90097	−	2.65296i	0.356806	−	0.0956060i
$771$	8.80248	−	15.2463i	0.317014	−	0.549084i
$772$	−17.3340	−	4.64463i	−0.623864	−	0.167164i
$773$	−25.0714	+	25.0714i	−0.901757	+	0.901757i	−0.995588	−	0.0938308i	$-0.970089\pi$
$773$	−25.0714	+	25.0714i	−0.901757	+	0.901757i	0.0938308	+	0.995588i	$0.470089\pi$
$774$	16.7474	+	4.48745i	0.601973	+	0.161298i
$775$	−3.75660	+	1.00658i	−0.134941	+	0.0361574i
$776$		−	36.7051i		−	1.31764i
$777$	−2.67891	−	9.99783i	−0.0961054	−	0.358670i
$778$	77.7645	−	44.8974i	2.78799	−	1.60965i
$779$			37.0213i			1.32643i
$780$	19.3246	+	11.1570i	0.691931	+	0.399486i
$781$	−0.736716	+	0.736716i	−0.0263618	+	0.0263618i
$782$	−44.7093	+	44.7093i	−1.59880	+	1.59880i
$783$	3.61908	−	13.5066i	0.129335	−	0.482686i
$784$	−6.16027	+	3.55664i	−0.220010	+	0.127023i
$785$	−5.77370	−	10.0003i	−0.206072	−	0.356928i
$786$	−18.1078	−	18.1078i	−0.645883	−	0.645883i
$787$	0.881316	+	1.52648i	0.0314155	+	0.0544133i	0.881306	−	0.472547i	$-0.156665\pi$
$787$	0.881316	+	1.52648i	0.0314155	+	0.0544133i	−0.849890	+	0.526960i	$0.823332\pi$
$788$	−1.39101	−	5.19133i	−0.0495528	−	0.184933i
$789$	−7.28046	+	27.1710i	−0.259191	+	0.967315i
$790$	−19.9204	−	5.33766i	−0.708736	−	0.189905i
$791$	−10.5131	−	6.06977i	−0.373805	−	0.215816i
$792$	5.79026	+	21.6095i	0.205748	+	0.767862i
$793$	−18.3494	−	18.3494i	−0.651608	−	0.651608i
$794$	57.9419			2.05628
$795$	−7.02987			−0.249324
$796$	40.3222	+	40.3222i	1.42918	+	1.42918i
$797$	9.69568	−	5.59781i	0.343439	−	0.198284i	−0.318353	−	0.947972i	$-0.603130\pi$
$797$	9.69568	−	5.59781i	0.343439	−	0.198284i	0.661792	+	0.749688i	$0.269796\pi$
$798$	12.4149	−	3.32656i	0.439483	−	0.117759i
$799$	15.3048	−	26.5086i	0.541444	−	0.937808i
$800$		−	15.8393i		−	0.560003i
$801$	−1.33411	−	2.31075i	−0.0471386	−	0.0816464i
$802$	−24.5976			−0.868572
$803$	6.64744	+	41.6353i	0.234583	+	1.46928i
$804$	44.6259			1.57383
$805$	2.71509	+	4.70267i	0.0956943	+	0.165747i
$806$		−	10.6748i		−	0.376003i
$807$	12.9006	−	22.3446i	0.454124	−	0.786566i
$808$	40.0597	−	10.7340i	1.40930	−	0.377619i
$809$	1.11313	−	0.642669i	0.0391357	−	0.0225950i	−0.480304	−	0.877102i	$-0.659474\pi$
$809$	1.11313	−	0.642669i	0.0391357	−	0.0225950i	0.519440	+	0.854507i	$0.326141\pi$
$810$	6.27003	+	6.27003i	0.220306	+	0.220306i
$811$	16.4126			0.576326			0.288163	−	0.957581i	$-0.406956\pi$
$811$	16.4126			0.576326			0.288163	+	0.957581i	$0.406956\pi$
$812$	6.73879			0.236485
$813$	−0.958109	−	0.958109i	−0.0336024	−	0.0336024i
$814$	30.6598	+	114.424i	1.07463	+	4.01056i
$815$	14.4656	+	8.35171i	0.506708	+	0.292548i
$816$	−6.16099	−	1.65083i	−0.215678	−	0.0577907i
$817$	−7.93839	+	29.6265i	−0.277729	+	1.03650i
$818$	−20.3304	−	75.8740i	−0.710835	−	2.65287i
$819$	2.21818	+	3.84200i	0.0775094	+	0.134250i
$820$	−19.0612	−	19.0612i	−0.665647	−	0.665647i
$821$	−4.96034	−	8.59156i	−0.173117	−	0.299847i	0.766391	−	0.642374i	$-0.222051\pi$
$821$	−4.96034	−	8.59156i	−0.173117	−	0.299847i	−0.939508	+	0.342527i	$0.888717\pi$
$822$	14.8489	−	8.57303i	0.517916	−	0.299019i
$823$	−3.98152	+	14.8592i	−0.138787	+	0.517960i	0.861166	+	0.508323i	$0.169734\pi$
$823$	−3.98152	+	14.8592i	−0.138787	+	0.517960i	−0.999954	+	0.00963737i	$0.996932\pi$
$824$	9.00586	−	9.00586i	0.313734	−	0.313734i
$825$	16.7308	−	16.7308i	0.582493	−	0.582493i
$826$	−7.25729	−	4.19000i	−0.252513	−	0.145789i
$827$			17.4575i			0.607058i	0.952822	+	0.303529i	$0.0981649\pi$
$827$			17.4575i			0.607058i	−0.952822	+	0.303529i	$0.901835\pi$
$828$	−24.2067	+	13.9757i	−0.841241	+	0.485691i
$829$	11.8233	+	44.1250i	0.410639	+	1.53253i	0.793413	+	0.608683i	$0.208302\pi$
$829$	11.8233	+	44.1250i	0.410639	+	1.53253i	−0.382774	+	0.923842i	$0.625031\pi$
$830$		−	11.9646i		−	0.415297i
$831$	−8.58978	+	2.30162i	−0.297976	+	0.0798424i
$832$	51.3095	+	13.7483i	1.77884	+	0.476638i
$833$	19.9883	−	19.9883i	0.692552	−	0.692552i
$834$	−35.5679	−	9.53040i	−1.23162	−	0.330011i
$835$	7.86226	−	13.6178i	0.272085	−	0.471265i
$836$	−90.1574	+	24.1576i	−3.11816	+	0.835508i
$837$	1.52565	−	5.69381i	0.0527343	−	0.196807i
$838$	47.3285	+	27.3251i	1.63494	+	0.943930i
$839$	4.88071	−	8.45364i	0.168501	−	0.291852i	−0.769392	−	0.638777i	$-0.779441\pi$
$839$	4.88071	−	8.45364i	0.168501	−	0.291852i	0.937893	+	0.346925i	$0.112774\pi$
$840$	−1.98408	+	3.43653i	−0.0684574	+	0.118572i
$841$	−19.7166	−	11.3834i	−0.679881	−	0.392530i
$842$	15.6843	−	58.5348i	0.540518	−	2.01724i
$843$	−0.679600	+	0.182098i	−0.0234067	+	0.00627180i
$844$	26.0057	−	45.0432i	0.895154	−	1.55045i
$845$	−6.39755	−	1.71422i	−0.220082	−	0.0589709i
$846$	15.0795	−	15.0795i	0.518444	−	0.518444i
$847$	10.0252	+	2.68625i	0.344471	+	0.0923008i
$848$	5.09523	−	1.36526i	0.174971	−	0.0468833i
$849$		−	6.76561i		−	0.232195i
$850$	−9.88814	−	36.9031i	−0.339161	−	1.26576i
$851$	−54.3480	+	31.3779i	−1.86303	+	1.07562i
$852$		−	0.951249i		−	0.0325893i
$853$	−28.8309	−	16.6455i	−0.987150	−	0.569932i	−0.0827291	−	0.996572i	$-0.526364\pi$
$853$	−28.8309	−	16.6455i	−0.987150	−	0.569932i	−0.904421	+	0.426640i	$0.859697\pi$
$854$	7.69586	−	7.69586i	0.263347	−	0.263347i
$855$	5.79157	−	5.79157i	0.198067	−	0.198067i
$856$	14.1186	−	52.6914i	0.482564	−	1.80095i
$857$	−4.12156	+	2.37958i	−0.140790	+	0.0812850i	−0.568740	−	0.822517i	$-0.692569\pi$
$857$	−4.12156	+	2.37958i	−0.140790	+	0.0812850i	0.427951	+	0.903802i	$0.359236\pi$
$858$	32.4720	+	56.2432i	1.10858	+	1.92011i
$859$	−6.57025	−	6.57025i	−0.224174	−	0.224174i	0.586080	−	0.810254i	$-0.300671\pi$
$859$	−6.57025	−	6.57025i	−0.224174	−	0.224174i	−0.810254	+	0.586080i	$0.800671\pi$
$860$	−11.1666	−	19.3411i	−0.380777	−	0.659525i
$861$	1.77423	+	6.62153i	0.0604657	+	0.225661i
$862$	8.44833	−	31.5296i	0.287751	−	1.07390i
$863$	19.7672	+	5.29661i	0.672883	+	0.180299i	0.579053	−	0.815290i	$-0.303422\pi$
$863$	19.7672	+	5.29661i	0.672883	+	0.180299i	0.0938301	+	0.995588i	$0.470089\pi$
$864$	20.7909	+	12.0037i	0.707322	+	0.408373i
$865$	−3.59833	−	13.4291i	−0.122347	−	0.456604i
$866$	24.9805	+	24.9805i	0.848873	+	0.848873i
$867$	3.28839			0.111679
$868$	2.84079			0.0964227
$869$	−26.9306	−	26.9306i	−0.913558	−	0.913558i
$870$	−7.49685	+	4.32831i	−0.254167	+	0.146743i
$871$	−41.4804	+	11.1146i	−1.40551	+	0.376605i
$872$	−12.1520	+	21.0478i	−0.411518	+	0.712770i
$873$			14.0285i			0.474792i
$874$	−38.9637	−	67.4872i	−1.31797	−	2.28279i
$875$	−7.72080			−0.261011
$876$	−31.1714	−	22.5882i	−1.05318	−	0.763185i
$877$	−36.8600			−1.24467			−0.622337	−	0.782750i	$-0.713817\pi$
$877$	−36.8600			−1.24467			−0.622337	+	0.782750i	$0.713817\pi$
$878$	−4.82955	−	8.36503i	−0.162989	−	0.282306i
$879$		−	8.97069i		−	0.302574i
$880$	3.13465	−	5.42938i	0.105669	−	0.183024i
$881$	0.769231	−	0.206115i	0.0259161	−	0.00694419i	−0.245838	−	0.969311i	$-0.579063\pi$
$881$	0.769231	−	0.206115i	0.0259161	−	0.00694419i	0.271754	+	0.962367i	$0.412396\pi$
$882$	17.0556	−	9.84704i	0.574291	−	0.331567i
$883$	31.1157	+	31.1157i	1.04713	+	1.04713i	0.998833	+	0.0482947i	$0.0153787\pi$
$883$	31.1157	+	31.1157i	1.04713	+	1.04713i	0.0482947	+	0.998833i	$0.484621\pi$
$884$	66.5384			2.23793
$885$	6.83057			0.229607
$886$	−1.30017	−	1.30017i	−0.0436801	−	0.0436801i
$887$	−2.67186	−	9.97153i	−0.0897124	−	0.334811i	0.906452	−	0.422308i	$-0.138780\pi$
$887$	−2.67186	−	9.97153i	−0.0897124	−	0.334811i	−0.996165	+	0.0874968i	$0.972113\pi$
$888$	−39.7155	−	22.9298i	−1.33276	−	0.769472i
$889$	12.2896	+	3.29298i	0.412178	+	0.110443i
$890$	−1.40191	+	5.23198i	−0.0469920	+	0.175377i
$891$	4.23826	+	15.8174i	0.141987	+	0.529903i
$892$	−6.05421	−	10.4862i	−0.202710	−	0.351104i
$893$	26.6759	+	26.6759i	0.892676	+	0.892676i
$894$	−24.8681	−	43.0729i	−0.831715	−	1.44057i
$895$	−14.5512	+	8.40111i	−0.486391	+	0.280818i
$896$	−4.04135	+	15.0825i	−0.135012	+	0.503872i
$897$	−24.3279	+	24.3279i	−0.812284	+	0.812284i
$898$	−29.7738	+	29.7738i	−0.993566	+	0.993566i
$899$	2.27565	+	1.31384i	0.0758970	+	0.0438192i
$900$		−	16.8893i		−	0.562975i
$901$	−18.1539	+	10.4812i	−0.604796	+	0.349179i
$902$	−20.3059	−	75.7827i	−0.676113	−	2.52329i
$903$			5.67935i			0.188997i
$904$	−51.9533	+	13.9209i	−1.72794	+	0.463001i
$905$	−4.19393	−	1.12376i	−0.139411	−	0.0373551i
$906$	−18.0950	+	18.0950i	−0.601167	+	0.601167i
$907$	−29.4093	−	7.88020i	−0.976521	−	0.261658i	−0.264942	−	0.964264i	$-0.585353\pi$
$907$	−29.4093	−	7.88020i	−0.976521	−	0.261658i	−0.711579	+	0.702606i	$0.752019\pi$
$908$	9.41154	−	16.3013i	0.312333	−	0.540976i
$909$	−15.3106	+	4.10246i	−0.507820	+	0.136070i
$910$	2.33089	−	8.69902i	0.0772684	−	0.288370i
$911$	−8.27171	−	4.77568i	−0.274054	−	0.158225i	0.356674	−	0.934229i	$-0.383911\pi$
$911$	−8.27171	−	4.77568i	−0.274054	−	0.158225i	−0.630729	+	0.776004i	$0.717244\pi$
$912$	3.93056	−	6.80793i	0.130154	−	0.225433i
$913$	11.0478	−	19.1353i	0.365628	−	0.633286i
$914$	−25.4963	−	14.7203i	−0.843344	−	0.486905i
$915$	−2.29605	+	8.56897i	−0.0759051	+	0.283282i
$916$	−62.8174	+	16.8319i	−2.07555	+	0.556141i
$917$	−3.27902	+	5.67943i	−0.108283	+	0.187551i
$918$	55.9333	+	14.9873i	1.84607	+	0.494654i
$919$	−35.7660	+	35.7660i	−1.17981	+	1.17981i	−0.200019	+	0.979792i	$0.564100\pi$
$919$	−35.7660	+	35.7660i	−1.17981	+	1.17981i	−0.979792	+	0.200019i	$0.935900\pi$
$920$	23.2394	+	6.22698i	0.766181	+	0.205297i
$921$	12.8015	−	3.43016i	0.421824	−	0.113027i
$922$			70.3997i			2.31849i
$923$	0.236921	+	0.884201i	0.00779834	+	0.0291038i
$924$	−14.9676	+	8.64152i	−0.492396	+	0.284285i
$925$		−	37.9192i		−	1.24677i
$926$	22.1286	+	12.7759i	0.727190	+	0.419843i
$927$	−3.44199	+	3.44199i	−0.113050	+	0.113050i
$928$	−7.56734	+	7.56734i	−0.248410	+	0.248410i
$929$	7.09281	−	26.4707i	0.232708	−	0.868477i	−0.746461	−	0.665429i	$-0.768249\pi$
$929$	7.09281	−	26.4707i	0.232708	−	0.868477i	0.979169	−	0.203048i	$-0.0650847\pi$
$930$	−3.16036	+	1.82463i	−0.103632	+	0.0598321i
$931$	17.4196	+	30.1716i	0.570904	+	0.988834i
$932$	43.7928	+	43.7928i	1.43448	+	1.43448i
$933$	−1.18230	−	2.04781i	−0.0387068	−	0.0670422i
$934$	−7.12084	−	26.5753i	−0.233001	−	0.869572i
$935$	−6.44817	+	24.0649i	−0.210878	+	0.787006i
$936$	18.9862	+	5.08733i	0.620583	+	0.166285i
$937$	−39.1990	−	22.6316i	−1.28058	−	0.739341i	−0.303623	−	0.952792i	$-0.598196\pi$
$937$	−39.1990	−	22.6316i	−1.28058	−	0.739341i	−0.976954	+	0.213451i	$0.931530\pi$
$938$	−4.66155	−	17.3971i	−0.152205	−	0.568036i
$939$	27.7442	+	27.7442i	0.905398	+	0.905398i
$940$	−27.4694			−0.895952
$941$	−38.8973			−1.26802			−0.634009	−	0.773326i	$-0.718592\pi$
$941$	−38.8973			−1.26802			−0.634009	+	0.773326i	$0.718592\pi$
$942$	21.6975	+	21.6975i	0.706941	+	0.706941i
$943$	35.9945	−	20.7815i	1.17214	−	0.676737i
$944$	−4.95077	+	1.32655i	−0.161134	+	0.0431757i
$945$	2.48655	−	4.30683i	0.0808875	−	0.140101i
$946$		−	64.9995i		−	2.11332i
$947$	−21.2140	−	36.7436i	−0.689361	−	1.19401i	−0.972045	−	0.234795i	$-0.924558\pi$
$947$	−21.2140	−	36.7436i	−0.689361	−	1.19401i	0.282684	−	0.959213i	$-0.408775\pi$
$948$	34.7729			1.12937
$949$	34.6002	+	13.2325i	1.12317	+	0.429544i
$950$	47.0865			1.52769
$951$	−8.45535	−	14.6451i	−0.274184	−	0.474900i
$952$			11.8327i			0.383499i
$953$	7.91991	−	13.7177i	0.256551	−	0.444359i	−0.708765	−	0.705445i	$-0.750747\pi$
$953$	7.91991	−	13.7177i	0.256551	−	0.444359i	0.965316	+	0.261086i	$0.0840805\pi$
$954$	−14.1068	+	3.77991i	−0.456726	+	0.122379i
$955$	0.999510	−	0.577067i	0.0323434	−	0.0186735i
$956$	−57.8878	−	57.8878i	−1.87223	−	1.87223i
$957$	−15.9866			−0.516772
$958$	30.0086			0.969533
$959$	−3.10487	−	3.10487i	−0.100261	−	0.100261i
$960$	−4.70000	−	17.5406i	−0.151692	−	0.566121i
$961$	−25.8875	−	14.9461i	−0.835080	−	0.482133i
$962$	100.533	+	26.9378i	3.24132	+	0.868509i
$963$	−5.39605	+	20.1383i	−0.173885	+	0.648948i
$964$	21.8839	+	81.6718i	0.704833	+	2.63047i
$965$	−2.95179	−	5.11264i	−0.0950213	−	0.164582i
$966$	−10.2032	−	10.2032i	−0.328284	−	0.328284i
$967$	−19.4358	−	33.6638i	−0.625013	−	1.08255i	−0.988538	−	0.150970i	$-0.951760\pi$
$967$	−19.4358	−	33.6638i	−0.625013	−	1.08255i	0.363526	−	0.931584i	$-0.381573\pi$
$968$	39.8244	−	22.9926i	1.28000	−	0.739010i
$969$	−8.08540	+	30.1751i	−0.259740	+	0.969365i
$970$	20.1370	−	20.1370i	0.646561	−	0.646561i
$971$	6.66059	−	6.66059i	0.213749	−	0.213749i	−0.592109	−	0.805858i	$-0.701705\pi$
$971$	6.66059	−	6.66059i	0.213749	−	0.213749i	0.805858	+	0.592109i	$0.201705\pi$
$972$	37.5775	+	21.6954i	1.20530	+	0.695880i
$973$			9.42993i			0.302310i
$974$	65.8862	−	38.0394i	2.11113	−	1.21886i
$975$	−5.38048	−	20.0802i	−0.172313	−	0.643081i
$976$		−	6.65667i		−	0.213075i
$977$	21.2519	−	5.69443i	0.679908	−	0.182181i	0.0976943	−	0.995216i	$-0.468853\pi$
$977$	21.2519	−	5.69443i	0.679908	−	0.182181i	0.582214	+	0.813036i	$0.302187\pi$
$978$	−42.8735	−	11.4879i	−1.37094	−	0.367343i
$979$	−7.07317	+	7.07317i	−0.226060	+	0.226060i
$980$	−24.5034	−	6.56566i	−0.782731	−	0.209732i
$981$	4.64441	−	8.04436i	0.148285	−	0.256837i
$982$	−51.4773	+	13.7933i	−1.64271	+	0.440162i
$983$	−5.14601	+	19.2052i	−0.164132	+	0.612549i	0.834017	+	0.551738i	$0.186035\pi$
$983$	−5.14601	+	19.2052i	−0.164132	+	0.612549i	−0.998149	+	0.0608109i	$0.980631\pi$
$984$	26.3034	+	15.1863i	0.838523	+	0.484122i
$985$	0.884025	−	1.53118i	0.0281674	−	0.0487873i
$986$	−12.9066	+	22.3548i	−0.411029	+	0.711923i
$987$	6.04961	+	3.49275i	0.192561	+	0.111175i
$988$	−21.2249	+	79.2125i	−0.675255	+	2.52008i
$989$	33.2609	−	8.91222i	1.05763	−	0.283392i
$990$	−8.67872	+	15.0320i	−0.275828	+	0.477748i
$991$	−19.6133	−	5.25538i	−0.623038	−	0.166943i	−0.0665297	−	0.997784i	$-0.521193\pi$
$991$	−19.6133	−	5.25538i	−0.623038	−	0.166943i	−0.556509	+	0.830842i	$0.687859\pi$
$992$	−3.19007	+	3.19007i	−0.101285	+	0.101285i
$993$	−18.9219	−	5.07011i	−0.600468	−	0.160895i
$994$	−0.370839	+	0.0993659i	−0.0117623	+	0.00315170i
$995$			18.7594i			0.594714i
$996$	5.22132	+	19.4862i	0.165444	+	0.617445i
$997$	39.8924	−	23.0319i	1.26340	−	0.729427i	0.289673	−	0.957126i	$-0.406453\pi$
$997$	39.8924	−	23.0319i	1.26340	−	0.729427i	0.973732	+	0.227698i	$0.0731200\pi$
$998$			35.3329i			1.11844i
$999$	49.7734	+	28.7367i	1.57476	+	0.909188i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	73.2.h.a.49.5	yes	20
3.2	odd	2		657.2.be.c.487.1		20
73.3	even	12	inner	73.2.h.a.3.5	✓	20
73.21	odd	24		5329.2.a.m.1.2		20
73.52	odd	24		5329.2.a.m.1.1		20
219.149	odd	12		657.2.be.c.514.1		20

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
73.2.h.a.3.5	✓	20	73.3	even	12	inner
73.2.h.a.49.5	yes	20	1.1	even	1	trivial
657.2.be.c.487.1		20	3.2	odd	2
657.2.be.c.514.1		20	219.149	odd	12
5329.2.a.m.1.1		20	73.52	odd	24
5329.2.a.m.1.2		20	73.21	odd	24

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:	\( N \)	\(=\)	\( 73 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	73.h (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(1.16965 + 2.02589i) q^{2} -1.29757i q^{3} +(-1.73614 + 3.00709i) q^{4} +(-1.10336 + 0.295646i) q^{5} +(2.62873 - 1.51770i) q^{6} +(-0.549659 - 0.549659i) q^{7} -3.44410 q^{8} +1.31631 q^{9} +O(q^{10})\)	\(q+(1.16965 + 2.02589i) q^{2} -1.29757i q^{3} +(-1.73614 + 3.00709i) q^{4} +(-1.10336 + 0.295646i) q^{5} +(2.62873 - 1.51770i) q^{6} +(-0.549659 - 0.549659i) q^{7} -3.44410 q^{8} +1.31631 q^{9} +(-1.88949 - 1.88949i) q^{10} +(-1.27721 - 4.76661i) q^{11} +(3.90190 + 2.25276i) q^{12} +(-4.18796 - 1.12216i) q^{13} +(0.470640 - 1.75645i) q^{14} +(0.383621 + 1.43169i) q^{15} +(-0.556094 - 0.963182i) q^{16} +(3.12524 + 3.12524i) q^{17} +(1.53962 + 2.66670i) q^{18} +(-4.71745 + 2.72362i) q^{19} +(1.02657 - 3.83119i) q^{20} +(-0.713221 + 0.713221i) q^{21} +(8.16273 - 8.16273i) q^{22} +(5.29616 + 3.05774i) q^{23} +4.46896i q^{24} +(-3.20012 + 1.84759i) q^{25} +(-2.62506 - 9.79685i) q^{26} -5.60072i q^{27} +(2.60716 - 0.698586i) q^{28} +(2.41158 + 0.646181i) q^{29} +(-2.45174 + 2.45174i) q^{30} +(1.01662 + 0.272403i) q^{31} +(-2.14324 + 3.71219i) q^{32} +(-6.18501 + 1.65727i) q^{33} +(-2.67596 + 9.98681i) q^{34} +(0.768979 + 0.443970i) q^{35} +(-2.28531 + 3.95827i) q^{36} +(-5.13089 + 8.88697i) q^{37} +(-11.0355 - 6.37134i) q^{38} +(-1.45608 + 5.43416i) q^{39} +(3.80010 - 1.01823i) q^{40} +(3.39818 - 5.88581i) q^{41} +(-2.27912 - 0.610688i) q^{42} +(3.98148 - 3.98148i) q^{43} +(16.5510 + 4.43484i) q^{44} +(-1.45237 + 0.389163i) q^{45} +14.3059i q^{46} +(-1.79248 - 6.68963i) q^{47} +(-1.24980 + 0.721570i) q^{48} -6.39575i q^{49} +(-7.48601 - 4.32205i) q^{50} +(4.05522 - 4.05522i) q^{51} +(10.6453 - 10.6453i) q^{52} +(-1.22755 + 4.58127i) q^{53} +(11.3464 - 6.55085i) q^{54} +(2.81846 + 4.88171i) q^{55} +(1.89308 + 1.89308i) q^{56} +(3.53408 + 6.12121i) q^{57} +(1.51161 + 5.64139i) q^{58} +(1.19274 - 4.45138i) q^{59} +(-4.97124 - 1.33204i) q^{60} +(5.18334 + 2.99260i) q^{61} +(0.637230 + 2.37818i) q^{62} +(-0.723524 - 0.723524i) q^{63} -12.2517 q^{64} +4.95260 q^{65} +(-10.5917 - 10.5917i) q^{66} +(8.57772 - 4.95235i) q^{67} +(-14.8237 + 3.97201i) q^{68} +(3.96763 - 6.87213i) q^{69} +2.07715i q^{70} +(-0.105565 - 0.182843i) q^{71} -4.53352 q^{72} +(-8.49830 - 0.882531i) q^{73} -24.0053 q^{74} +(2.39738 + 4.15238i) q^{75} -18.9144i q^{76} +(-1.91798 + 3.32204i) q^{77} +(-12.7121 + 3.40619i) q^{78} +(6.68383 - 3.85891i) q^{79} +(0.898335 + 0.898335i) q^{80} -3.31837 q^{81} +15.8986 q^{82} +(3.16609 + 3.16609i) q^{83} +(-0.906463 - 3.38297i) q^{84} +(-4.37224 - 2.52432i) q^{85} +(12.7229 + 3.40910i) q^{86} +(0.838465 - 3.12919i) q^{87} +(4.39884 + 16.4167i) q^{88} +(-1.01352 - 1.75547i) q^{89} +(-2.48716 - 2.48716i) q^{90} +(1.68514 + 2.91875i) q^{91} +(-18.3898 + 10.6173i) q^{92} +(0.353462 - 1.31914i) q^{93} +(11.4559 - 11.4559i) q^{94} +(4.39984 - 4.39984i) q^{95} +(4.81683 + 2.78100i) q^{96} +10.6574i q^{97} +(12.9571 - 7.48076i) q^{98} +(-1.68121 - 6.27436i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 20 q - 4 q^{2} - 8 q^{4} - 4 q^{5} + 6 q^{6} - 2 q^{7} + 12 q^{8} - 32 q^{9}+O(q^{10}) \) 20 * q - 4 * q^2 - 8 * q^4 - 4 * q^5 + 6 * q^6 - 2 * q^7 + 12 * q^8 - 32 * q^9	\( 20 q - 4 q^{2} - 8 q^{4} - 4 q^{5} + 6 q^{6} - 2 q^{7} + 12 q^{8} - 32 q^{9} - 12 q^{10} - 6 q^{11} + 30 q^{12} - 16 q^{13} - 8 q^{14} + 8 q^{15} - 4 q^{16} + 8 q^{17} + 4 q^{18} - 12 q^{19} + 8 q^{20} + 24 q^{21} + 8 q^{22} - 6 q^{23} - 36 q^{25} - 36 q^{26} - 12 q^{28} - 6 q^{29} + 34 q^{30} + 20 q^{31} - 6 q^{32} + 34 q^{33} + 36 q^{34} + 18 q^{35} + 18 q^{36} - 8 q^{37} - 66 q^{38} + 28 q^{39} - 2 q^{40} + 10 q^{41} - 56 q^{42} + 12 q^{43} + 34 q^{44} - 4 q^{45} - 20 q^{47} - 48 q^{48} + 30 q^{50} - 36 q^{51} + 80 q^{52} + 24 q^{53} + 24 q^{54} + 10 q^{55} + 10 q^{57} + 54 q^{58} - 18 q^{59} + 50 q^{60} + 42 q^{61} - 12 q^{62} - 48 q^{63} - 56 q^{64} - 44 q^{65} - 10 q^{66} - 42 q^{67} - 44 q^{68} + 24 q^{69} + 4 q^{71} - 112 q^{72} - 16 q^{73} - 96 q^{74} - 52 q^{75} + 52 q^{77} - 12 q^{78} + 54 q^{79} - 2 q^{80} + 60 q^{81} + 32 q^{82} - 30 q^{83} - 16 q^{84} + 6 q^{85} + 16 q^{86} + 32 q^{87} + 2 q^{88} - 22 q^{89} - 110 q^{90} - 8 q^{91} - 78 q^{92} + 78 q^{93} + 38 q^{94} + 38 q^{95} + 72 q^{96} + 138 q^{98} - 32 q^{99}+O(q^{100}) \) 20 * q - 4 * q^2 - 8 * q^4 - 4 * q^5 + 6 * q^6 - 2 * q^7 + 12 * q^8 - 32 * q^9 - 12 * q^10 - 6 * q^11 + 30 * q^12 - 16 * q^13 - 8 * q^14 + 8 * q^15 - 4 * q^16 + 8 * q^17 + 4 * q^18 - 12 * q^19 + 8 * q^20 + 24 * q^21 + 8 * q^22 - 6 * q^23 - 36 * q^25 - 36 * q^26 - 12 * q^28 - 6 * q^29 + 34 * q^30 + 20 * q^31 - 6 * q^32 + 34 * q^33 + 36 * q^34 + 18 * q^35 + 18 * q^36 - 8 * q^37 - 66 * q^38 + 28 * q^39 - 2 * q^40 + 10 * q^41 - 56 * q^42 + 12 * q^43 + 34 * q^44 - 4 * q^45 - 20 * q^47 - 48 * q^48 + 30 * q^50 - 36 * q^51 + 80 * q^52 + 24 * q^53 + 24 * q^54 + 10 * q^55 + 10 * q^57 + 54 * q^58 - 18 * q^59 + 50 * q^60 + 42 * q^61 - 12 * q^62 - 48 * q^63 - 56 * q^64 - 44 * q^65 - 10 * q^66 - 42 * q^67 - 44 * q^68 + 24 * q^69 + 4 * q^71 - 112 * q^72 - 16 * q^73 - 96 * q^74 - 52 * q^75 + 52 * q^77 - 12 * q^78 + 54 * q^79 - 2 * q^80 + 60 * q^81 + 32 * q^82 - 30 * q^83 - 16 * q^84 + 6 * q^85 + 16 * q^86 + 32 * q^87 + 2 * q^88 - 22 * q^89 - 110 * q^90 - 8 * q^91 - 78 * q^92 + 78 * q^93 + 38 * q^94 + 38 * q^95 + 72 * q^96 + 138 * q^98 - 32 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more