LMFDB - Embedded newform 130.2.p.b.123.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [130,2,Mod(7,130)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(130, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([3, 11]))

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

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

chi := DirichletCharacter("130.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 130 = 2 \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	130.p (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:	$1.03805522628$
Analytic rank:	$0$
Dimension:	$16$
Relative dimension:	$4$ over $\Q(\zeta_{12})$
Coefficient field:	$\mathbb{Q}[x]/(x^{16} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{16} - 4 x^{13} - 48 x^{12} + 16 x^{11} + 8 x^{10} + 80 x^{9} + 2208 x^{8} + 760 x^{7} + 192 x^{6} + \cdots + 4096 $ x^16 - 4x^13 - 48x^12 + 16x^11 + 8x^10 + 80x^9 + 2208x^8 + 760x^7 + 192x^6 + 1696x^5 - 2812x^4 - 2080x^3 + 128x^2 - 1024*x + 4096
Coefficient ring:	$\Z[a_1, \ldots, a_{5}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			123.1
Root			$-0.706135 + 2.63533i$ of defining polynomial
Character	$\chi$	$=$	130.123
Dual form			130.2.p.b.37.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.866025 - 0.500000i) q^{2} +(-2.63533 + 0.706135i) q^{3} +(0.500000 + 0.866025i) q^{4} +(0.892496 - 2.05023i) q^{5} +(2.63533 + 0.706135i) q^{6} +(1.79804 + 3.11430i) q^{7} -1.00000i q^{8} +(3.84827 - 2.22180i) q^{9} +O(q^{10})$	\(q+(-0.866025 - 0.500000i) q^{2} +(-2.63533 + 0.706135i) q^{3} +(0.500000 + 0.866025i) q^{4} +(0.892496 - 2.05023i) q^{5} +(2.63533 + 0.706135i) q^{6} +(1.79804 + 3.11430i) q^{7} -1.00000i q^{8} +(3.84827 - 2.22180i) q^{9} +(-1.79804 + 1.32930i) q^{10} +(4.64166 - 1.24373i) q^{11} +(-1.92920 - 1.92920i) q^{12} +(3.33348 - 1.37401i) q^{13} -3.59608i q^{14} +(-0.904283 + 6.03326i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-0.819442 + 3.05820i) q^{17} -4.44360 q^{18} +(-0.782374 + 2.91986i) q^{19} +(2.22180 - 0.252192i) q^{20} +(-6.93755 - 6.93755i) q^{21} +(-4.64166 - 1.24373i) q^{22} +(-1.00673 - 3.75715i) q^{23} +(0.706135 + 2.63533i) q^{24} +(-3.40690 - 3.65965i) q^{25} +(-3.57388 - 0.476810i) q^{26} +(-2.78499 + 2.78499i) q^{27} +(-1.79804 + 3.11430i) q^{28} +(4.52655 + 2.61340i) q^{29} +(3.79976 - 4.77282i) q^{30} +(-4.00252 + 4.00252i) q^{31} +(0.866025 - 0.500000i) q^{32} +(-11.3541 + 6.55528i) q^{33} +(2.23876 - 2.23876i) q^{34} +(7.98978 - 0.906901i) q^{35} +(3.84827 + 2.22180i) q^{36} +(2.55430 - 4.42418i) q^{37} +(2.13749 - 2.13749i) q^{38} +(-7.81459 + 5.97487i) q^{39} +(-2.05023 - 0.892496i) q^{40} +(-0.124135 - 0.463279i) q^{41} +(2.53932 + 9.47687i) q^{42} +(2.77485 + 0.743519i) q^{43} +(3.39793 + 3.39793i) q^{44} +(-1.12064 - 9.87280i) q^{45} +(-1.00673 + 3.75715i) q^{46} +7.17950 q^{47} +(0.706135 - 2.63533i) q^{48} +(-2.96590 + 5.13709i) q^{49} +(1.12064 + 4.87280i) q^{50} -8.63801i q^{51} +(2.85667 + 2.19987i) q^{52} +(-2.20166 - 2.20166i) q^{53} +(3.80437 - 1.01938i) q^{54} +(1.59273 - 10.6265i) q^{55} +(3.11430 - 1.79804i) q^{56} -8.24727i q^{57} +(-2.61340 - 4.52655i) q^{58} +(-10.0282 - 2.68705i) q^{59} +(-5.67710 + 2.23350i) q^{60} +(0.826168 + 1.43097i) q^{61} +(5.46754 - 1.46502i) q^{62} +(13.8387 + 7.98978i) q^{63} -1.00000 q^{64} +(0.158074 - 8.06071i) q^{65} +13.1106 q^{66} +(-3.02310 - 1.74539i) q^{67} +(-3.05820 + 0.819442i) q^{68} +(5.30612 + 9.19046i) q^{69} +(-7.37280 - 3.20949i) q^{70} +(-9.32721 - 2.49922i) q^{71} +(-2.22180 - 3.84827i) q^{72} +11.2159i q^{73} +(-4.42418 + 2.55430i) q^{74} +(11.5625 + 7.23866i) q^{75} +(-2.91986 + 0.782374i) q^{76} +(12.2192 + 12.2192i) q^{77} +(9.75507 - 1.26709i) q^{78} -1.21846i q^{79} +(1.32930 + 1.79804i) q^{80} +(-1.29260 + 2.23886i) q^{81} +(-0.124135 + 0.463279i) q^{82} -10.8721 q^{83} +(2.53932 - 9.47687i) q^{84} +(5.53867 + 4.40948i) q^{85} +(-2.03133 - 2.03133i) q^{86} +(-13.7744 - 3.69083i) q^{87} +(-1.24373 - 4.64166i) q^{88} +(-2.64966 - 9.88867i) q^{89} +(-3.96590 + 9.11041i) q^{90} +(10.2728 + 7.91092i) q^{91} +(2.75043 - 2.75043i) q^{92} +(7.72165 - 13.3743i) q^{93} +(-6.21763 - 3.58975i) q^{94} +(5.28813 + 4.21001i) q^{95} +(-1.92920 + 1.92920i) q^{96} +(-9.00422 + 5.19859i) q^{97} +(5.13709 - 2.96590i) q^{98} +(15.0991 - 15.0991i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q + 8 q^{4} - 2 q^{5}+O(q^{10}) $ 16 * q + 8 * q^4 - 2 * q^5	$ 16 q + 8 q^{4} - 2 q^{5} + 6 q^{11} + 2 q^{13} + 6 q^{15} - 8 q^{16} - 16 q^{17} - 16 q^{18} + 8 q^{20} - 6 q^{22} - 6 q^{23} - 14 q^{25} - 6 q^{26} - 12 q^{27} - 6 q^{29} + 6 q^{30} - 6 q^{33} - 14 q^{34} - 20 q^{37} + 6 q^{38} - 6 q^{39} - 44 q^{41} + 6 q^{42} + 6 q^{44} - 6 q^{46} + 52 q^{47} - 2 q^{49} + 10 q^{52} - 24 q^{53} + 6 q^{54} + 64 q^{55} + 6 q^{56} + 8 q^{58} - 46 q^{59} + 6 q^{61} + 12 q^{62} + 90 q^{63} - 16 q^{64} - 22 q^{65} + 52 q^{66} + 12 q^{67} - 2 q^{68} + 58 q^{69} - 32 q^{70} + 6 q^{71} - 8 q^{72} + 24 q^{74} + 44 q^{75} - 6 q^{76} + 58 q^{77} + 38 q^{78} + 10 q^{80} - 24 q^{81} - 44 q^{82} - 64 q^{83} + 6 q^{84} + 40 q^{85} - 44 q^{87} - 24 q^{89} - 18 q^{90} + 38 q^{91} - 26 q^{93} - 6 q^{95} - 6 q^{97} - 26 q^{99}+O(q^{100}) $ 16 * q + 8 * q^4 - 2 * q^5 + 6 * q^11 + 2 * q^13 + 6 * q^15 - 8 * q^16 - 16 * q^17 - 16 * q^18 + 8 * q^20 - 6 * q^22 - 6 * q^23 - 14 * q^25 - 6 * q^26 - 12 * q^27 - 6 * q^29 + 6 * q^30 - 6 * q^33 - 14 * q^34 - 20 * q^37 + 6 * q^38 - 6 * q^39 - 44 * q^41 + 6 * q^42 + 6 * q^44 - 6 * q^46 + 52 * q^47 - 2 * q^49 + 10 * q^52 - 24 * q^53 + 6 * q^54 + 64 * q^55 + 6 * q^56 + 8 * q^58 - 46 * q^59 + 6 * q^61 + 12 * q^62 + 90 * q^63 - 16 * q^64 - 22 * q^65 + 52 * q^66 + 12 * q^67 - 2 * q^68 + 58 * q^69 - 32 * q^70 + 6 * q^71 - 8 * q^72 + 24 * q^74 + 44 * q^75 - 6 * q^76 + 58 * q^77 + 38 * q^78 + 10 * q^80 - 24 * q^81 - 44 * q^82 - 64 * q^83 + 6 * q^84 + 40 * q^85 - 44 * q^87 - 24 * q^89 - 18 * q^90 + 38 * q^91 - 26 * q^93 - 6 * q^95 - 6 * q^97 - 26 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/130\mathbb{Z}\right)^\times$.

$n$	$27$	$41$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{5}{12}\right)$

Coefficient data

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

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

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

$2$	−0.866025	−	0.500000i	−0.612372	−	0.353553i
$2$	−0.866025	−	0.500000i	−0.612372	−	0.353553i
$3$	−2.63533	+	0.706135i	−1.52151	+	0.407687i	−0.920239	−	0.391358i	$-0.872005\pi$
$3$	−2.63533	+	0.706135i	−1.52151	+	0.407687i	−0.601271	+	0.799045i	$0.705339\pi$
$4$	0.500000	+	0.866025i	0.250000	+	0.433013i
$5$	0.892496	−	2.05023i	0.399136	−	0.916892i
$5$	0.892496	−	2.05023i	0.399136	−	0.916892i
$6$	2.63533	+	0.706135i	1.07587	+	0.288278i
$7$	1.79804	+	3.11430i	0.679595	+	1.17709i	0.975103	+	0.221753i	$0.0711779\pi$
$7$	1.79804	+	3.11430i	0.679595	+	1.17709i	−0.295507	+	0.955340i	$0.595489\pi$
$8$		−	1.00000i		−	0.353553i
$9$	3.84827	−	2.22180i	1.28276	−	0.740600i
$10$	−1.79804	+	1.32930i	−0.568590	+	0.420363i
$11$	4.64166	−	1.24373i	1.39951	−	0.374999i	0.521344	−	0.853347i	$-0.325431\pi$
$11$	4.64166	−	1.24373i	1.39951	−	0.374999i	0.878170	+	0.478348i	$0.158764\pi$
$12$	−1.92920	−	1.92920i	−0.556911	−	0.556911i
$13$	3.33348	−	1.37401i	0.924541	−	0.381082i
$13$	3.33348	−	1.37401i	0.924541	−	0.381082i
$14$		−	3.59608i		−	0.961093i
$15$	−0.904283	+	6.03326i	−0.233485	+	1.55778i
$16$	−0.500000	+	0.866025i	−0.125000	+	0.216506i
$17$	−0.819442	+	3.05820i	−0.198744	+	0.741722i	0.792522	+	0.609843i	$0.208768\pi$
$17$	−0.819442	+	3.05820i	−0.198744	+	0.741722i	−0.991266	+	0.131879i	$0.957899\pi$
$18$	−4.44360			−1.04737
$19$	−0.782374	+	2.91986i	−0.179489	+	0.669862i	0.816254	+	0.577693i	$0.196047\pi$
$19$	−0.782374	+	2.91986i	−0.179489	+	0.669862i	−0.995743	+	0.0921694i	$0.970620\pi$
$20$	2.22180	−	0.252192i	0.496810	−	0.0563917i
$21$	−6.93755	−	6.93755i	−1.51390	−	1.51390i
$22$	−4.64166	−	1.24373i	−0.989606	−	0.265164i
$23$	−1.00673	−	3.75715i	−0.209917	−	0.783421i	−0.987894	−	0.155128i	$-0.950421\pi$
$23$	−1.00673	−	3.75715i	−0.209917	−	0.783421i	0.777977	−	0.628292i	$-0.216246\pi$
$24$	0.706135	+	2.63533i	0.144139	+	0.537935i
$25$	−3.40690	−	3.65965i	−0.681380	−	0.731930i
$26$	−3.57388	−	0.476810i	−0.700896	−	0.0935102i
$27$	−2.78499	+	2.78499i	−0.535972	+	0.535972i
$28$	−1.79804	+	3.11430i	−0.339798	+	0.588547i
$29$	4.52655	+	2.61340i	0.840559	+	0.485297i	0.857454	−	0.514560i	$-0.172045\pi$
$29$	4.52655	+	2.61340i	0.840559	+	0.485297i	−0.0168954	+	0.999857i	$0.505378\pi$
$30$	3.79976	−	4.77282i	0.693739	−	0.871394i
$31$	−4.00252	+	4.00252i	−0.718874	+	0.718874i	−0.968375	−	0.249501i	$-0.919733\pi$
$31$	−4.00252	+	4.00252i	−0.718874	+	0.718874i	0.249501	+	0.968375i	$0.419733\pi$
$32$	0.866025	−	0.500000i	0.153093	−	0.0883883i
$33$	−11.3541	+	6.55528i	−1.97649	+	1.14113i
$34$	2.23876	−	2.23876i	0.383944	−	0.383944i
$35$	7.98978	−	0.906901i	1.35052	−	0.153294i
$36$	3.84827	+	2.22180i	0.641379	+	0.370300i
$37$	2.55430	−	4.42418i	0.419924	−	0.727330i	−0.576007	−	0.817445i	$-0.695390\pi$
$37$	2.55430	−	4.42418i	0.419924	−	0.727330i	0.995931	+	0.0901146i	$0.0287233\pi$
$38$	2.13749	−	2.13749i	0.346746	−	0.346746i
$39$	−7.81459	+	5.97487i	−1.25134	+	0.956744i
$40$	−2.05023	−	0.892496i	−0.324170	−	0.141116i
$41$	−0.124135	−	0.463279i	−0.0193867	−	0.0723521i	0.955555	−	0.294814i	$-0.0952575\pi$
$41$	−0.124135	−	0.463279i	−0.0193867	−	0.0723521i	−0.974941	+	0.222461i	$0.928591\pi$
$42$	2.53932	+	9.47687i	0.391825	+	1.46231i
$43$	2.77485	+	0.743519i	0.423161	+	0.113386i	0.464114	−	0.885775i	$-0.346373\pi$
$43$	2.77485	+	0.743519i	0.423161	+	0.113386i	−0.0409532	+	0.999161i	$0.513039\pi$
$44$	3.39793	+	3.39793i	0.512258	+	0.512258i
$45$	−1.12064	−	9.87280i	−0.167055	−	1.47175i
$46$	−1.00673	+	3.75715i	−0.148434	+	0.553962i
$47$	7.17950			1.04724			0.523619	−	0.851953i	$-0.324582\pi$
$47$	7.17950			1.04724			0.523619	+	0.851953i	$0.324582\pi$
$48$	0.706135	−	2.63533i	0.101922	−	0.380377i
$49$	−2.96590	+	5.13709i	−0.423700	+	0.733869i
$50$	1.12064	+	4.87280i	0.158482	+	0.689118i
$51$		−	8.63801i		−	1.20956i
$52$	2.85667	+	2.19987i	0.396149	+	0.305067i
$53$	−2.20166	−	2.20166i	−0.302421	−	0.302421i	0.539539	−	0.841960i	$-0.318598\pi$
$53$	−2.20166	−	2.20166i	−0.302421	−	0.302421i	−0.841960	+	0.539539i	$0.818598\pi$
$54$	3.80437	−	1.01938i	0.517709	−	0.138720i
$55$	1.59273	−	10.6265i	0.214764	−	1.43288i
$56$	3.11430	−	1.79804i	0.416165	−	0.240273i
$57$		−	8.24727i		−	1.09238i
$58$	−2.61340	−	4.52655i	−0.343157	−	0.594365i
$59$	−10.0282	−	2.68705i	−1.30556	−	0.349825i	−0.462012	−	0.886874i	$-0.652872\pi$
$59$	−10.0282	−	2.68705i	−1.30556	−	0.349825i	−0.843551	+	0.537049i	$0.819539\pi$
$60$	−5.67710	+	2.23350i	−0.732911	+	0.288344i
$61$	0.826168	+	1.43097i	0.105780	+	0.183216i	0.914057	−	0.405587i	$-0.132933\pi$
$61$	0.826168	+	1.43097i	0.105780	+	0.183216i	−0.808277	+	0.588803i	$0.799599\pi$
$62$	5.46754	−	1.46502i	0.694379	−	0.186058i
$63$	13.8387	+	7.98978i	1.74351	+	1.00662i
$64$	−1.00000			−0.125000
$65$	0.158074	−	8.06071i	0.0196067	−	0.999808i
$66$	13.1106			1.61380
$67$	−3.02310	−	1.74539i	−0.369330	−	0.213233i	0.303836	−	0.952724i	$-0.401733\pi$
$67$	−3.02310	−	1.74539i	−0.369330	−	0.213233i	−0.673166	+	0.739492i	$0.735066\pi$
$68$	−3.05820	+	0.819442i	−0.370861	+	0.0993719i
$69$	5.30612	+	9.19046i	0.638781	+	1.10640i
$70$	−7.37280	−	3.20949i	−0.881218	−	0.383607i
$71$	−9.32721	−	2.49922i	−1.10694	−	0.296603i	−0.341350	−	0.939936i	$-0.610884\pi$
$71$	−9.32721	−	2.49922i	−1.10694	−	0.296603i	−0.765586	+	0.643334i	$0.777551\pi$
$72$	−2.22180	−	3.84827i	−0.261842	−	0.453523i
$73$			11.2159i			1.31272i	0.754446	+	0.656362i	$0.227905\pi$
$73$			11.2159i			1.31272i	−0.754446	+	0.656362i	$0.772095\pi$
$74$	−4.42418	+	2.55430i	−0.514300	+	0.296931i
$75$	11.5625	+	7.23866i	1.33513	+	0.835848i
$76$	−2.91986	+	0.782374i	−0.334931	+	0.0897445i
$77$	12.2192	+	12.2192i	1.39251	+	1.39251i
$78$	9.75507	−	1.26709i	1.10454	−	0.143470i
$79$		−	1.21846i		−	0.137087i	−0.997648	−	0.0685435i	$-0.978165\pi$
$79$		−	1.21846i		−	0.137087i	0.997648	−	0.0685435i	$-0.0218352\pi$
$80$	1.32930	+	1.79804i	0.148621	+	0.201027i
$81$	−1.29260	+	2.23886i	−0.143623	+	0.248762i
$82$	−0.124135	+	0.463279i	−0.0137085	+	0.0511606i
$83$	−10.8721			−1.19337			−0.596685	−	0.802475i	$-0.703516\pi$
$83$	−10.8721			−1.19337			−0.596685	+	0.802475i	$0.703516\pi$
$84$	2.53932	−	9.47687i	0.277062	−	1.03401i
$85$	5.53867	+	4.40948i	0.600753	+	0.478275i
$86$	−2.03133	−	2.03133i	−0.219044	−	0.219044i
$87$	−13.7744	−	3.69083i	−1.47677	−	0.395699i
$88$	−1.24373	−	4.64166i	−0.132582	−	0.494803i
$89$	−2.64966	−	9.88867i	−0.280863	−	1.04820i	−0.951809	−	0.306690i	$-0.900778\pi$
$89$	−2.64966	−	9.88867i	−0.280863	−	1.04820i	0.670946	−	0.741506i	$-0.265888\pi$
$90$	−3.96590	+	9.11041i	−0.418042	+	0.960322i
$91$	10.2728	+	7.91092i	1.07688	+	0.829290i
$92$	2.75043	−	2.75043i	0.286752	−	0.286752i
$93$	7.72165	−	13.3743i	0.800697	−	1.38685i
$94$	−6.21763	−	3.58975i	−0.641300	−	0.370254i
$95$	5.28813	+	4.21001i	0.542550	+	0.431938i
$96$	−1.92920	+	1.92920i	−0.196898	+	0.196898i
$97$	−9.00422	+	5.19859i	−0.914240	+	0.527837i	−0.881793	−	0.471637i	$-0.843663\pi$
$97$	−9.00422	+	5.19859i	−0.914240	+	0.527837i	−0.0324473	+	0.999473i	$0.510330\pi$
$98$	5.13709	−	2.96590i	0.518924	−	0.299601i
$99$	15.0991	−	15.0991i	1.51751	−	1.51751i
$100$	1.46590	−	4.78029i	0.146590	−	0.478029i
$101$	8.55490	+	4.93918i	0.851245	+	0.491466i	0.861071	−	0.508485i	$-0.169794\pi$
$101$	8.55490	+	4.93918i	0.851245	+	0.491466i	−0.00982597	+	0.999952i	$0.503128\pi$
$102$	−4.31900	+	7.48073i	−0.427645	+	0.740703i
$103$	−0.742128	+	0.742128i	−0.0731241	+	0.0731241i	−0.742723	−	0.669599i	$-0.766466\pi$
$103$	−0.742128	+	0.742128i	−0.0731241	+	0.0731241i	0.669599	+	0.742723i	$0.266466\pi$
$104$	−1.37401	−	3.33348i	−0.134733	−	0.326875i
$105$	−20.4153	+	8.03185i	−1.99233	+	0.783828i
$106$	0.805862	+	3.00752i	0.0782723	+	0.292116i
$107$	−1.88954	−	7.05186i	−0.182669	−	0.681729i	−0.995118	−	0.0986963i	$-0.968533\pi$
$107$	−1.88954	−	7.05186i	−0.182669	−	0.681729i	0.812449	−	0.583032i	$-0.198134\pi$
$108$	−3.80437	−	1.01938i	−0.366076	−	0.0980897i
$109$	−0.0493096	−	0.0493096i	−0.00472300	−	0.00472300i	0.704741	−	0.709464i	$-0.251063\pi$
$109$	−0.0493096	−	0.0493096i	−0.00472300	−	0.00472300i	−0.709464	+	0.704741i	$0.751063\pi$
$110$	−6.69260	+	8.40646i	−0.638114	+	0.801524i
$111$	−3.60736	+	13.4629i	−0.342395	+	1.27784i
$112$	−3.59608			−0.339798
$113$	1.24405	−	4.64287i	0.117031	−	0.436764i	−0.882400	−	0.470500i	$-0.844074\pi$
$113$	1.24405	−	4.64287i	0.117031	−	0.436764i	0.999431	+	0.0337354i	$0.0107403\pi$
$114$	−4.12363	+	7.14234i	−0.386214	+	0.668942i
$115$	−8.60153	−	1.28922i	−0.802097	−	0.120221i
$116$			5.22681i			0.485297i
$117$	9.77536	−	12.6939i	0.903732	−	1.17355i
$118$	7.34117	+	7.34117i	0.675809	+	0.675809i
$119$	−10.9975	+	2.94678i	−1.00814	+	0.270131i
$120$	6.03326	+	0.904283i	0.550759	+	0.0825494i
$121$	10.4719	−	6.04595i	0.951989	−	0.549631i
$122$		−	1.65234i		−	0.149595i
$123$	0.654276	+	1.13324i	0.0589940	+	0.102181i
$124$	−5.46754	−	1.46502i	−0.491000	−	0.131563i
$125$	−10.5438	+	3.71872i	−0.943064	+	0.332612i
$126$	−7.98978	−	13.8387i	−0.711786	−	1.23285i
$127$	−10.5899	+	2.83754i	−0.939698	+	0.251791i	−0.695985	−	0.718056i	$-0.745032\pi$
$127$	−10.5899	+	2.83754i	−0.939698	+	0.251791i	−0.243713	+	0.969847i	$0.578365\pi$
$128$	0.866025	+	0.500000i	0.0765466	+	0.0441942i
$129$	−7.83768			−0.690069
$130$	−4.16725	+	6.90174i	−0.365492	+	0.605323i
$131$	−15.6797			−1.36994			−0.684970	−	0.728571i	$-0.740185\pi$
$131$	−15.6797			−1.36994			−0.684970	+	0.728571i	$0.740185\pi$
$132$	−11.3541	−	6.55528i	−0.988246	−	0.570564i
$133$	−10.5001	+	2.81348i	−0.910470	+	0.243960i
$134$	1.74539	+	3.02310i	0.150778	+	0.261156i
$135$	3.22428	+	8.19548i	0.277502	+	0.705354i
$136$	3.05820	+	0.819442i	0.262238	+	0.0702666i
$137$	1.42075	+	2.46082i	0.121383	+	0.210242i	0.920313	−	0.391182i	$-0.127934\pi$
$137$	1.42075	+	2.46082i	0.121383	+	0.210242i	−0.798930	+	0.601424i	$0.794600\pi$
$138$		−	10.6122i		−	0.903373i
$139$	13.8773	−	8.01209i	1.17706	−	0.679577i	0.221728	−	0.975108i	$-0.428830\pi$
$139$	13.8773	−	8.01209i	1.17706	−	0.679577i	0.955333	+	0.295532i	$0.0954968\pi$
$140$	4.78029	+	6.46590i	0.404008	+	0.546468i
$141$	−18.9204	+	5.06970i	−1.59338	+	0.426946i
$142$	6.82799	+	6.82799i	0.572992	+	0.572992i
$143$	13.7640	−	10.5236i	1.15100	−	0.880032i
$144$			4.44360i			0.370300i
$145$	9.39801	−	6.94802i	0.780462	−	0.577002i
$146$	5.60796	−	9.71326i	0.464118	−	0.803875i
$147$	4.18865	−	15.6323i	0.345474	−	1.28933i
$148$	5.10860			0.419924
$149$	−2.86654	+	10.6981i	−0.234836	+	0.876420i	0.743387	+	0.668862i	$0.233218\pi$
$149$	−2.86654	+	10.6981i	−0.234836	+	0.876420i	−0.978223	+	0.207558i	$0.933448\pi$
$150$	−6.39411	−	12.0501i	−0.522077	−	0.983888i
$151$	−0.609536	−	0.609536i	−0.0496034	−	0.0496034i	0.681870	−	0.731473i	$-0.261167\pi$
$151$	−0.609536	−	0.609536i	−0.0496034	−	0.0496034i	−0.731473	+	0.681870i	$0.761167\pi$
$152$	2.91986	+	0.782374i	0.236832	+	0.0634589i
$153$	3.64127	+	13.5894i	0.294380	+	1.09864i
$154$	−4.47255	−	16.6918i	−0.360409	−	1.34506i
$155$	4.63386	+	11.7783i	0.372200	+	0.946058i
$156$	−9.08168	−	3.78020i	−0.727116	−	0.302658i
$157$	9.16772	−	9.16772i	0.731664	−	0.731664i	−0.239285	−	0.970949i	$-0.576913\pi$
$157$	9.16772	−	9.16772i	0.731664	−	0.731664i	0.970949	+	0.239285i	$0.0769131\pi$
$158$	−0.609228	+	1.05521i	−0.0484676	+	0.0839483i
$159$	7.35677	+	4.24743i	0.583429	+	0.336843i
$160$	−0.252192	−	2.22180i	−0.0199375	−	0.175649i
$161$	9.89076	−	9.89076i	0.779501	−	0.779501i
$162$	2.23886	−	1.29260i	0.175901	−	0.101557i
$163$	15.5425	−	8.97349i	1.21739	−	0.702858i	0.253027	−	0.967459i	$-0.418574\pi$
$163$	15.5425	−	8.97349i	1.21739	−	0.702858i	0.964358	+	0.264602i	$0.0852404\pi$
$164$	0.339144	−	0.339144i	0.0264827	−	0.0264827i
$165$	3.30637	+	29.1291i	0.257401	+	2.26769i
$166$	9.41554	+	5.43606i	0.730787	+	0.421920i
$167$	−9.77996	+	16.9394i	−0.756796	+	1.31081i	0.187680	+	0.982230i	$0.439903\pi$
$167$	−9.77996	+	16.9394i	−0.756796	+	1.31081i	−0.944476	+	0.328579i	$0.893430\pi$
$168$	−6.93755	+	6.93755i	−0.535243	+	0.535243i
$169$	9.22418	−	9.16049i	0.709552	−	0.704653i
$170$	−2.59189	−	6.58805i	−0.198789	−	0.505281i
$171$	3.47656	+	12.9747i	0.265859	+	0.992200i
$172$	0.743519	+	2.77485i	0.0566928	+	0.211580i
$173$	−14.4420	−	3.86971i	−1.09800	−	0.294209i	−0.336051	−	0.941844i	$-0.609092\pi$
$173$	−14.4420	−	3.86971i	−1.09800	−	0.294209i	−0.761951	+	0.647635i	$0.775758\pi$
$174$	10.0835	+	10.0835i	0.764431	+	0.764431i
$175$	5.27149	−	17.1903i	0.398487	−	1.29946i
$176$	−1.24373	+	4.64166i	−0.0937496	+	0.349878i
$177$	28.3251			2.12905
$178$	−2.64966	+	9.88867i	−0.198600	+	0.741187i
$179$	0.973054	−	1.68538i	0.0727295	−	0.125971i	−0.827367	−	0.561661i	$-0.810162\pi$
$179$	0.973054	−	1.68538i	0.0727295	−	0.125971i	0.900097	+	0.435690i	$0.143496\pi$
$180$	7.98978	−	5.90690i	0.595523	−	0.440274i
$181$		−	23.5819i		−	1.75283i	−0.481556	−	0.876415i	$-0.659928\pi$
$181$		−	23.5819i		−	1.75283i	0.481556	−	0.876415i	$-0.340072\pi$
$182$	−4.94106	−	11.9875i	−0.366256	−	0.888570i
$183$	−3.18768	−	3.18768i	−0.235640	−	0.235640i
$184$	−3.75715	+	1.00673i	−0.276981	+	0.0742168i
$185$	−6.79088	−	9.18547i	−0.499276	−	0.675329i
$186$	−13.3743	+	7.72165i	−0.980650	+	0.566179i
$187$			15.2143i			1.11258i
$188$	3.58975	+	6.21763i	0.261809	+	0.453467i
$189$	−13.6808	−	3.66577i	−0.995133	−	0.266645i
$190$	−2.47464	−	6.29004i	−0.179530	−	0.456328i
$191$	0.306187	+	0.530332i	0.0221549	+	0.0383734i	0.876890	−	0.480691i	$-0.159614\pi$
$191$	0.306187	+	0.530332i	0.0221549	+	0.0383734i	−0.854735	+	0.519064i	$0.826281\pi$
$192$	2.63533	−	0.706135i	0.190189	−	0.0509609i
$193$	19.5230	+	11.2716i	1.40529	+	0.811347i	0.994930	−	0.100574i	$-0.0320680\pi$
$193$	19.5230	+	11.2716i	1.40529	+	0.811347i	0.410365	+	0.911921i	$0.365401\pi$
$194$	10.3972			0.746474
$195$	5.27537	+	21.3543i	0.377777	+	1.52921i
$196$	−5.93180			−0.423700
$197$	−10.7381	−	6.19964i	−0.765057	−	0.441706i	0.0660512	−	0.997816i	$-0.478960\pi$
$197$	−10.7381	−	6.19964i	−0.765057	−	0.441706i	−0.831109	+	0.556110i	$0.812293\pi$
$198$	−20.6257	+	5.52664i	−1.46580	+	0.392761i
$199$	−2.59326	−	4.49166i	−0.183831	−	0.318405i	0.759351	−	0.650681i	$-0.225517\pi$
$199$	−2.59326	−	4.49166i	−0.183831	−	0.318405i	−0.943182	+	0.332276i	$0.892183\pi$
$200$	−3.65965	+	3.40690i	−0.258776	+	0.240904i
$201$	9.19935	+	2.46496i	0.648872	+	0.173865i
$202$	−4.93918	−	8.55490i	−0.347519	−	0.601921i
$203$			18.7960i			1.31922i
$204$	7.48073	−	4.31900i	0.523756	−	0.302391i
$205$	−1.06062	−	0.158969i	−0.0740769	−	0.0111029i
$206$	1.01377	−	0.271638i	0.0706324	−	0.0189259i
$207$	−12.2218	−	12.2218i	−0.849474	−	0.849474i
$208$	−0.476810	+	3.57388i	−0.0330609	+	0.247804i
$209$			14.5261i			1.00479i
$210$	21.6961	+	3.25188i	1.49717	+	0.224401i
$211$	0.875261	−	1.51600i	0.0602555	−	0.104366i	−0.834324	−	0.551274i	$-0.814142\pi$
$211$	0.875261	−	1.51600i	0.0602555	−	0.104366i	0.894580	+	0.446909i	$0.147475\pi$
$212$	0.805862	−	3.00752i	0.0553469	−	0.206557i
$213$	26.3451			1.80513
$214$	−1.88954	+	7.05186i	−0.129166	+	0.482055i
$215$	4.00093	−	5.02550i	0.272861	−	0.342736i
$216$	2.78499	+	2.78499i	0.189495	+	0.189495i
$217$	−19.6617	−	5.26834i	−1.33472	−	0.357638i
$218$	0.0180486	+	0.0673581i	0.00122240	+	0.00456207i
$219$	−7.91995	−	29.5577i	−0.535181	−	1.99732i
$220$	9.99919	−	3.93391i	0.674145	−	0.265224i
$221$	1.47041	+	11.3204i	0.0989105	+	0.761490i
$222$	9.85549	−	9.85549i	0.661457	−	0.661457i
$223$	−8.93366	+	15.4736i	−0.598242	+	1.03619i	0.394838	+	0.918751i	$0.370801\pi$
$223$	−8.93366	+	15.4736i	−0.598242	+	1.03619i	−0.993081	+	0.117435i	$0.962533\pi$
$224$	3.11430	+	1.79804i	0.208083	+	0.120137i
$225$	−21.2417	−	6.51387i	−1.41611	−	0.434258i
$226$	−3.39882	+	3.39882i	−0.226086	+	0.226086i
$227$	14.2956	−	8.25357i	0.948833	−	0.547809i	0.0561147	−	0.998424i	$-0.482129\pi$
$227$	14.2956	−	8.25357i	0.948833	−	0.547809i	0.892718	+	0.450615i	$0.148795\pi$
$228$	7.14234	−	4.12363i	0.473013	−	0.273094i
$229$	−20.6370	+	20.6370i	−1.36373	+	1.36373i	−0.494626	+	0.869106i	$0.664695\pi$
$229$	−20.6370	+	20.6370i	−1.36373	+	1.36373i	−0.869106	+	0.494626i	$0.835305\pi$
$230$	6.80454	+	5.41727i	0.448678	+	0.357204i
$231$	−40.8302	−	23.5733i	−2.68643	−	1.55101i
$232$	2.61340	−	4.52655i	0.171578	−	0.297182i
$233$	5.24071	−	5.24071i	0.343330	−	0.343330i	−0.514288	−	0.857618i	$-0.671944\pi$
$233$	5.24071	−	5.24071i	0.343330	−	0.343330i	0.857618	+	0.514288i	$0.171944\pi$
$234$	−14.8127	+	6.10556i	−0.968334	+	0.399133i
$235$	6.40768	−	14.7196i	0.417991	−	0.960204i
$236$	−2.68705	−	10.0282i	−0.174912	−	0.652782i
$237$	0.860395	+	3.21104i	0.0558886	+	0.208579i
$238$	10.9975	+	2.94678i	0.712864	+	0.191011i
$239$	−12.8912	−	12.8912i	−0.833859	−	0.833859i	0.154183	−	0.988042i	$-0.450725\pi$
$239$	−12.8912	−	12.8912i	−0.833859	−	0.833859i	−0.988042	+	0.154183i	$0.950725\pi$
$240$	−4.77282	−	3.79976i	−0.308084	−	0.245274i
$241$	−3.59785	+	13.4274i	−0.231758	+	0.864933i	0.747826	+	0.663895i	$0.231098\pi$
$241$	−3.59785	+	13.4274i	−0.231758	+	0.864933i	−0.979584	+	0.201037i	$0.935569\pi$
$242$	−12.0919			−0.777296
$243$	4.88364	−	18.2260i	0.313286	−	1.16920i
$244$	−0.826168	+	1.43097i	−0.0528900	+	0.0916081i
$245$	7.88516	+	10.6656i	0.503765	+	0.681401i
$246$		−	1.30855i		−	0.0834302i
$247$	1.40390	+	10.8083i	0.0893278	+	0.687715i
$248$	4.00252	+	4.00252i	0.254160	+	0.254160i
$249$	28.6517	−	7.67719i	1.81573	−	0.486522i
$250$	10.9905	+	2.05139i	0.695102	+	0.129741i
$251$	4.88932	−	2.82285i	0.308611	−	0.178177i	−0.337694	−	0.941256i	$-0.609647\pi$
$251$	4.88932	−	2.82285i	0.308611	−	0.178177i	0.646305	+	0.763079i	$0.276313\pi$
$252$			15.9796i			1.00662i
$253$	−9.34576	−	16.1873i	−0.587563	−	1.01769i
$254$	10.5899	+	2.83754i	0.664467	+	0.178043i
$255$	−17.7099	−	7.70939i	−1.10904	−	0.482781i
$256$	−0.500000	−	0.866025i	−0.0312500	−	0.0541266i
$257$	−0.522706	+	0.140059i	−0.0326055	+	0.00873661i	−0.275085	−	0.961420i	$-0.588706\pi$
$257$	−0.522706	+	0.140059i	−0.0326055	+	0.00873661i	0.242479	+	0.970157i	$0.422039\pi$
$258$	6.78763	+	3.91884i	0.422579	+	0.243976i
$259$	18.3709			1.14151
$260$	7.05982	−	3.89346i	0.437831	−	0.241462i
$261$	23.2258			1.43764
$262$	13.5790	+	7.83984i	0.838914	+	0.484347i
$263$	0.812458	−	0.217697i	0.0500983	−	0.0134238i	−0.233683	−	0.972313i	$-0.575078\pi$
$263$	0.812458	−	0.217697i	0.0500983	−	0.0134238i	0.283781	+	0.958889i	$0.408411\pi$
$264$	6.55528	+	11.3541i	0.403450	+	0.698795i
$265$	−6.47888	+	2.54894i	−0.397994	+	0.156580i
$266$	10.5001	+	2.81348i	0.643800	+	0.172506i
$267$	13.9655	+	24.1889i	0.854673	+	1.48034i
$268$		−	3.49077i		−	0.213233i
$269$	−16.9355	+	9.77771i	−1.03258	+	0.596158i	−0.917721	−	0.397225i	$-0.869973\pi$
$269$	−16.9355	+	9.77771i	−1.03258	+	0.596158i	−0.114854	+	0.993382i	$0.536640\pi$
$270$	1.30542	−	8.70963i	0.0794456	−	0.530051i
$271$	15.9289	−	4.26814i	0.967613	−	0.259271i	0.259793	−	0.965664i	$-0.416346\pi$
$271$	15.9289	−	4.26814i	0.967613	−	0.259271i	0.707820	+	0.706393i	$0.249679\pi$
$272$	−2.23876	−	2.23876i	−0.135745	−	0.135745i
$273$	−32.6585	−	13.5939i	−1.97658	−	0.822740i
$274$		−	2.84151i		−	0.171662i
$275$	−20.3653	−	12.7496i	−1.22807	−	0.768829i
$276$	−5.30612	+	9.19046i	−0.319391	+	0.553201i
$277$	−4.14104	+	15.4546i	−0.248811	+	0.928575i	0.722619	+	0.691247i	$0.242938\pi$
$277$	−4.14104	+	15.4546i	−0.248811	+	0.928575i	−0.971430	+	0.237328i	$0.923728\pi$
$278$	−16.0242			−0.961067
$279$	−6.50998	+	24.2956i	−0.389742	+	1.45454i
$280$	−0.906901	−	7.98978i	−0.0541977	−	0.477480i
$281$	11.8817	+	11.8817i	0.708805	+	0.708805i	0.966284	−	0.257479i	$-0.0828917\pi$
$281$	11.8817	+	11.8817i	0.708805	+	0.708805i	−0.257479	+	0.966284i	$0.582892\pi$
$282$	18.9204	+	5.06970i	1.12669	+	0.301896i
$283$	−6.19613	−	23.1243i	−0.368322	−	1.37460i	−0.862862	−	0.505440i	$-0.831330\pi$
$283$	−6.19613	−	23.1243i	−0.368322	−	1.37460i	0.494540	−	0.869155i	$-0.335337\pi$
$284$	−2.49922	−	9.32721i	−0.148301	−	0.553468i
$285$	−16.9088	−	7.36065i	−1.00159	−	0.436007i
$286$	−17.1818	+	2.23175i	−1.01598	+	0.131966i
$287$	1.21959	−	1.21959i	0.0719901	−	0.0719901i
$288$	2.22180	−	3.84827i	0.130921	−	0.226762i
$289$	6.04134	+	3.48797i	0.355373	+	0.205175i
$290$	−11.6129	+	1.31816i	−0.681934	+	0.0774048i
$291$	20.0582	−	20.0582i	1.17583	−	1.17583i
$292$	−9.71326	+	5.60796i	−0.568426	+	0.328181i
$293$	−15.1081	+	8.72268i	−0.882626	+	0.509584i	−0.871523	−	0.490354i	$-0.836867\pi$
$293$	−15.1081	+	8.72268i	−0.882626	+	0.509584i	−0.0111027	+	0.999938i	$0.503534\pi$
$294$	−11.4436	+	11.4436i	−0.667404	+	0.667404i
$295$	−14.4592	+	18.1620i	−0.841849	+	1.05743i
$296$	−4.42418	−	2.55430i	−0.257150	−	0.148466i
$297$	−9.46322	+	16.3908i	−0.549111	+	0.951089i
$298$	7.83153	−	7.83153i	0.453668	−	0.453668i
$299$	−8.51828	−	11.1411i	−0.492625	−	0.644309i
$300$	−0.487599	+	13.6328i	−0.0281515	+	0.787088i
$301$	2.67375	+	9.97859i	0.154113	+	0.575156i
$302$	0.223106	+	0.832642i	0.0128383	+	0.0479132i
$303$	−26.0327	−	6.97545i	−1.49554	−	0.400729i
$304$	−2.13749	−	2.13749i	−0.122593	−	0.122593i
$305$	3.67116	−	0.416705i	0.210210	−	0.0238605i
$306$	3.64127	−	13.5894i	0.208158	−	0.776855i
$307$	−17.4109			−0.993691			−0.496845	−	0.867839i	$-0.665508\pi$
$307$	−17.4109			−0.993691			−0.496845	+	0.867839i	$0.665508\pi$
$308$	−4.47255	+	16.6918i	−0.254847	+	0.951103i
$309$	1.43171	−	2.47980i	0.0814472	−	0.141071i
$310$	1.87612	−	12.5173i	0.106557	−	0.710932i
$311$		−	7.12206i		−	0.403855i	−0.979400	−	0.201928i	$-0.935279\pi$
$311$		−	7.12206i		−	0.403855i	0.979400	−	0.201928i	$-0.0647206\pi$
$312$	5.97487	+	7.81459i	0.338260	+	0.442414i
$313$	−4.01387	−	4.01387i	−0.226878	−	0.226878i	0.584509	−	0.811387i	$-0.301287\pi$
$313$	−4.01387	−	4.01387i	−0.226878	−	0.226878i	−0.811387	+	0.584509i	$0.801287\pi$
$314$	−12.5233	+	3.35562i	−0.706733	+	0.189369i
$315$	28.7319	−	21.2417i	1.61886	−	1.19683i
$316$	1.05521	−	0.609228i	0.0593604	−	0.0342718i
$317$			3.84438i			0.215922i	0.994155	+	0.107961i	$0.0344322\pi$
$317$			3.84438i			0.215922i	−0.994155	+	0.107961i	$0.965568\pi$
$318$	−4.24743	−	7.35677i	−0.238184	−	0.412547i
$319$	24.2611	+	6.50073i	1.35836	+	0.363971i
$320$	−0.892496	+	2.05023i	−0.0498921	+	0.114611i
$321$	9.95913	+	17.2497i	0.555864	+	0.962785i
$322$	−13.5110	+	3.62027i	−0.752940	+	0.201750i
$323$	−8.28841	−	4.78531i	−0.461179	−	0.266262i
$324$	−2.58521			−0.143623
$325$	−16.3852	−	7.51824i	−0.908890	−	0.417037i
$326$	−17.9470			−0.993991
$327$	0.164766	+	0.0951279i	0.00911160	+	0.00526058i
$328$	−0.463279	+	0.124135i	−0.0255803	+	0.00685423i
$329$	12.9090	+	22.3591i	0.711698	+	1.23270i
$330$	11.7011	−	26.8797i	0.644126	−	1.47968i
$331$	13.5816	+	3.63918i	0.746513	+	0.200028i	0.611971	−	0.790880i	$-0.290377\pi$
$331$	13.5816	+	3.63918i	0.746513	+	0.200028i	0.134542	+	0.990908i	$0.457044\pi$
$332$	−5.43606	−	9.41554i	−0.298343	−	0.516745i
$333$		−	22.7006i		−	1.24398i
$334$	16.9394	−	9.77996i	0.926882	−	0.535136i
$335$	−6.27655	+	4.64030i	−0.342925	+	0.253527i
$336$	9.47687	−	2.53932i	0.517005	−	0.138531i
$337$	−21.2997	−	21.2997i	−1.16027	−	1.16027i	−0.984417	−	0.175850i	$-0.943733\pi$
$337$	−21.2997	−	21.2997i	−1.16027	−	1.16027i	−0.175850	−	0.984417i	$-0.556267\pi$
$338$	−12.5686	+	3.32112i	−0.683643	+	0.180645i
$339$			13.1140i			0.712253i
$340$	−1.04938	+	7.00137i	−0.0569109	+	0.379702i
$341$	−13.6003	+	23.5564i	−0.736497	+	1.27565i
$342$	3.47656	−	12.9747i	0.187991	−	0.701591i
$343$	3.84135			0.207413
$344$	0.743519	−	2.77485i	0.0400879	−	0.149610i
$345$	23.5783	−	2.67631i	1.26941	−	0.144088i
$346$	10.5723	+	10.5723i	0.568368	+	0.568368i
$347$	−4.59560	−	1.23139i	−0.246705	−	0.0661043i	0.133348	−	0.991069i	$-0.457427\pi$
$347$	−4.59560	−	1.23139i	−0.246705	−	0.0661043i	−0.380052	+	0.924965i	$0.624094\pi$
$348$	−3.69083	−	13.7744i	−0.197849	−	0.738384i
$349$	−4.94358	−	18.4497i	−0.264624	−	0.987589i	−0.962480	−	0.271351i	$-0.912529\pi$
$349$	−4.94358	−	18.4497i	−0.264624	−	0.987589i	0.697857	−	0.716237i	$-0.254137\pi$
$350$	−13.1604	+	12.2515i	−0.703452	+	0.654870i
$351$	−5.45710	+	13.1103i	−0.291279	+	0.699778i
$352$	3.39793	−	3.39793i	0.181110	−	0.181110i
$353$	−2.01134	+	3.48374i	−0.107053	+	0.185421i	−0.914575	−	0.404416i	$-0.867475\pi$
$353$	−2.01134	+	3.48374i	−0.107053	+	0.185421i	0.807522	+	0.589837i	$0.200808\pi$
$354$	−24.5303	−	14.1626i	−1.30377	−	0.752731i
$355$	−13.4485	+	16.8924i	−0.713771	+	0.896555i
$356$	7.23901	−	7.23901i	0.383667	−	0.383667i
$357$	26.9013	−	15.5315i	1.42377	−	0.822013i
$358$	−1.68538	+	0.973054i	−0.0890751	+	0.0514275i
$359$	13.3497	−	13.3497i	0.704572	−	0.704572i	−0.260816	−	0.965388i	$-0.583992\pi$
$359$	13.3497	−	13.3497i	0.704572	−	0.704572i	0.965388	+	0.260816i	$0.0839918\pi$
$360$	−9.87280	+	1.12064i	−0.520342	+	0.0590629i
$361$	8.54100	+	4.93115i	0.449526	+	0.259534i
$362$	−11.7910	+	20.4225i	−0.619719	+	1.07338i
$363$	−23.3276	+	23.3276i	−1.22438	+	1.22438i
$364$	−1.71465	+	12.8520i	−0.0898720	+	0.673627i
$365$	22.9952	+	10.0102i	1.20362	+	0.523956i
$366$	1.16677	+	4.35445i	0.0609882	+	0.227611i
$367$	9.44083	+	35.2337i	0.492807	+	1.83918i	0.541979	+	0.840392i	$0.317675\pi$
$367$	9.44083	+	35.2337i	0.492807	+	1.83918i	−0.0491716	+	0.998790i	$0.515658\pi$
$368$	3.75715	+	1.00673i	0.195855	+	0.0524792i
$369$	−1.50702	−	1.50702i	−0.0784524	−	0.0784524i
$370$	1.28835	+	11.3503i	0.0669779	+	0.590073i
$371$	2.89795	−	10.8153i	0.150454	−	0.561502i
$372$	15.4433			0.800697
$373$	−4.67650	+	17.4530i	−0.242140	+	0.903680i	0.732659	+	0.680596i	$0.238279\pi$
$373$	−4.67650	+	17.4530i	−0.242140	+	0.903680i	−0.974799	+	0.223084i	$0.928388\pi$
$374$	7.60715	−	13.1760i	0.393356	−	0.681313i
$375$	25.1604	−	17.2454i	1.29928	−	0.890547i
$376$		−	7.17950i		−	0.370254i
$377$	18.6800	+	2.49220i	0.962069	+	0.128355i
$378$	10.0151	+	10.0151i	0.515119	+	0.515119i
$379$	13.1989	−	3.53663i	0.677982	−	0.181665i	0.0966343	−	0.995320i	$-0.469192\pi$
$379$	13.1989	−	3.53663i	0.677982	−	0.181665i	0.581348	+	0.813655i	$0.302526\pi$
$380$	−1.00192	+	6.68466i	−0.0513972	+	0.342916i
$381$	25.9041	−	14.9557i	1.32711	−	0.766206i
$382$		−	0.612374i		−	0.0313318i
$383$	18.7783	+	32.5250i	0.959527	+	1.66195i	0.723650	+	0.690168i	$0.242463\pi$
$383$	18.7783	+	32.5250i	0.959527	+	1.66195i	0.235878	+	0.971783i	$0.424203\pi$
$384$	−2.63533	−	0.706135i	−0.134484	−	0.0360348i
$385$	35.9579	−	14.1466i	1.83258	−	0.720980i
$386$	−11.2716	−	19.5230i	−0.573709	−	0.993693i
$387$	12.3303	−	3.30390i	0.626786	−	0.167947i
$388$	−9.00422	−	5.19859i	−0.457120	−	0.263918i
$389$	18.5691			0.941492			0.470746	−	0.882269i	$-0.343985\pi$
$389$	18.5691			0.941492			0.470746	+	0.882269i	$0.343985\pi$
$390$	6.10853	−	21.1310i	0.309317	−	1.07001i
$391$	12.3151			0.622800
$392$	5.13709	+	2.96590i	0.259462	+	0.149800i
$393$	41.3212	−	11.0720i	2.08438	−	0.558507i
$394$	6.19964	+	10.7381i	0.312333	+	0.540977i
$395$	−2.49812	−	1.08747i	−0.125694	−	0.0547164i
$396$	20.6257	+	5.52664i	1.03648	+	0.277724i
$397$	−15.9502	−	27.6266i	−0.800517	−	1.38654i	−0.919276	−	0.393614i	$-0.871225\pi$
$397$	−15.9502	−	27.6266i	−0.800517	−	1.38654i	0.118759	−	0.992923i	$-0.462109\pi$
$398$			5.18652i			0.259977i
$399$	25.6844	−	14.8289i	1.28583	−	0.742374i
$400$	4.87280	−	1.12064i	0.243640	−	0.0560319i
$401$	−23.9250	+	6.41067i	−1.19476	+	0.320134i	−0.800764	−	0.598980i	$-0.795573\pi$
$401$	−23.9250	+	6.41067i	−1.19476	+	0.320134i	−0.393992	+	0.919114i	$0.628906\pi$
$402$	−6.73439	−	6.73439i	−0.335881	−	0.335881i
$403$	−7.84281	+	18.8418i	−0.390678	+	0.938578i
$404$			9.87835i			0.491466i
$405$	3.43653	+	4.64831i	0.170763	+	0.230976i
$406$	9.39801	−	16.2778i	0.466415	−	0.807855i
$407$	6.35371	−	23.7124i	0.314942	−	1.17538i
$408$	−8.63801			−0.427645
$409$	−0.0418829	+	0.156309i	−0.00207098	+	0.00772899i	−0.966954	−	0.254952i	$-0.917940\pi$
$409$	−0.0418829	+	0.156309i	−0.00207098	+	0.00772899i	0.964883	+	0.262681i	$0.0846068\pi$
$410$	0.839040	+	0.667981i	0.0414372	+	0.0329892i
$411$	−5.48183	−	5.48183i	−0.270399	−	0.270399i
$412$	−1.01377	−	0.271638i	−0.0499447	−	0.0133826i
$413$	−9.66286	−	36.0623i	−0.475478	−	1.77451i
$414$	4.47349	+	16.6953i	0.219860	+	0.820529i
$415$	−9.70333	+	22.2904i	−0.476318	+	1.09419i
$416$	2.19987	−	2.85667i	0.107858	−	0.140060i
$417$	−30.9138	+	30.9138i	−1.51386	+	1.51386i
$418$	7.26304	−	12.5799i	0.355247	−	0.615305i
$419$	−30.7441	−	17.7501i	−1.50195	−	0.867150i	−0.999997	−	0.00225390i	$-0.999283\pi$
$419$	−30.7441	−	17.7501i	−1.50195	−	0.867150i	−0.501951	−	0.864896i	$-0.667384\pi$
$420$	−17.1634	−	13.6643i	−0.837490	−	0.666748i
$421$	−9.73738	+	9.73738i	−0.474571	+	0.474571i	−0.903390	−	0.428819i	$-0.858930\pi$
$421$	−9.73738	+	9.73738i	−0.474571	+	0.474571i	0.428819	+	0.903390i	$0.358930\pi$
$422$	−1.51600	+	0.875261i	−0.0737976	+	0.0426070i
$423$	27.6287	−	15.9514i	1.34335	−	0.775585i
$424$	−2.20166	+	2.20166i	−0.106922	+	0.106922i
$425$	13.9837	−	7.42011i	0.678309	−	0.359928i
$426$	−22.8155	−	13.1725i	−1.10541	−	0.638211i
$427$	−2.97097	+	5.14587i	−0.143775	+	0.249026i
$428$	5.16232	−	5.16232i	0.249530	−	0.249530i
$429$	−28.8416	+	37.4525i	−1.39248	+	1.80823i
$430$	−5.97766	+	2.35175i	−0.288268	+	0.113411i
$431$	−5.14321	−	19.1947i	−0.247740	−	0.924577i	−0.971987	−	0.235036i	$-0.924479\pi$
$431$	−5.14321	−	19.1947i	−0.247740	−	0.924577i	0.724247	−	0.689541i	$-0.242188\pi$
$432$	−1.01938	−	3.80437i	−0.0490448	−	0.183038i
$433$	−13.0872	−	3.50671i	−0.628931	−	0.168522i	−0.0697465	−	0.997565i	$-0.522219\pi$
$433$	−13.0872	−	3.50671i	−0.628931	−	0.168522i	−0.559185	+	0.829043i	$0.688886\pi$
$434$	14.3934	+	14.3934i	0.690904	+	0.690904i
$435$	−19.8606	+	24.9466i	−0.952245	+	1.19610i
$436$	0.0180486	−	0.0673581i	0.000864369	−	0.00322587i
$437$	11.7580			0.562462
$438$	−7.91995	+	29.5577i	−0.378430	+	1.41232i
$439$	6.26431	−	10.8501i	0.298979	−	0.517848i	−0.676923	−	0.736054i	$-0.736687\pi$
$439$	6.26431	−	10.8501i	0.298979	−	0.517848i	0.975903	+	0.218206i	$0.0700205\pi$
$440$	−10.6265	−	1.59273i	−0.506599	−	0.0759305i
$441$			26.3585i			1.25517i
$442$	4.38677	−	10.5389i	0.208657	−	0.501286i
$443$	−18.7098	−	18.7098i	−0.888931	−	0.888931i	0.105489	−	0.994420i	$-0.466359\pi$
$443$	−18.7098	−	18.7098i	−0.888931	−	0.888931i	−0.994420	+	0.105489i	$0.966359\pi$
$444$	−13.4629	+	3.60736i	−0.638919	+	0.171198i
$445$	−22.6389	−	3.39318i	−1.07319	−	0.160852i
$446$	15.4736	−	8.93366i	0.732694	−	0.423021i
$447$		−	30.2171i		−	1.42922i
$448$	−1.79804	−	3.11430i	−0.0849494	−	0.147137i
$449$	−8.84055	−	2.36882i	−0.417212	−	0.111791i	0.0441055	−	0.999027i	$-0.485956\pi$
$449$	−8.84055	−	2.36882i	−0.417212	−	0.111791i	−0.461317	+	0.887235i	$0.652623\pi$
$450$	15.1389	+	16.2620i	0.713655	+	0.766599i
$451$	−1.15239	−	1.99600i	−0.0542639	−	0.0939878i
$452$	4.64287	−	1.24405i	0.218382	−	0.0585153i
$453$	2.03675	+	1.17592i	0.0956946	+	0.0552493i
$454$	−16.5071			−0.774719
$455$	25.3877	−	14.0012i	1.19019	−	0.656386i
$456$	−8.24727			−0.386214
$457$	−13.6510	−	7.88142i	−0.638568	−	0.368677i	0.145495	−	0.989359i	$-0.453523\pi$
$457$	−13.6510	−	7.88142i	−0.638568	−	0.368677i	−0.784063	+	0.620682i	$0.786856\pi$
$458$	28.1907	−	7.55367i	1.31726	−	0.352960i
$459$	−6.23492	−	10.7992i	−0.291021	−	0.504064i
$460$	−3.18427	−	8.09376i	−0.148467	−	0.377373i
$461$	−20.0961	−	5.38473i	−0.935968	−	0.250792i	−0.241570	−	0.970383i	$-0.577662\pi$
$461$	−20.0961	−	5.38473i	−0.935968	−	0.250792i	−0.694398	+	0.719592i	$0.744329\pi$
$462$	23.5733	+	40.8302i	1.09673	+	1.89959i
$463$			27.9249i			1.29778i	0.760883	+	0.648889i	$0.224766\pi$
$463$			27.9249i			1.29778i	−0.760883	+	0.648889i	$0.775234\pi$
$464$	−4.52655	+	2.61340i	−0.210140	+	0.121324i
$465$	−20.5288	−	27.7677i	−0.952002	−	1.28769i
$466$	−7.15894	+	1.91823i	−0.331632	+	0.0888604i
$467$	23.6492	+	23.6492i	1.09435	+	1.09435i	0.995058	+	0.0992957i	$0.0316590\pi$
$467$	23.6492	+	23.6492i	1.09435	+	1.09435i	0.0992957	+	0.995058i	$0.468341\pi$
$468$	15.8809	+	2.11876i	0.734096	+	0.0979395i
$469$		−	12.5531i		−	0.579648i
$470$	−12.9090	+	9.54374i	−0.595449	+	0.440220i
$471$	−17.6863	+	30.6336i	−0.814944	+	1.41152i
$472$	−2.68705	+	10.0282i	−0.123682	+	0.461586i
$473$	13.8047			0.634739
$474$	0.860395	−	3.21104i	0.0395192	−	0.147488i
$475$	13.3511	−	7.08446i	0.612592	−	0.325057i
$476$	−8.05075	−	8.05075i	−0.369006	−	0.369006i
$477$	−13.3642	−	3.58093i	−0.611906	−	0.163960i
$478$	4.71849	+	17.6096i	0.215819	+	0.805446i
$479$	6.87884	+	25.6722i	0.314302	+	1.17299i	0.924638	+	0.380848i	$0.124368\pi$
$479$	6.87884	+	25.6722i	0.314302	+	1.17299i	−0.610335	+	0.792143i	$0.708965\pi$
$480$	2.23350	+	5.67710i	0.101945	+	0.259123i
$481$	2.43583	−	18.2575i	0.111064	−	0.832472i
$482$	9.82951	−	9.82951i	0.447722	−	0.447722i
$483$	−19.0812	+	33.0496i	−0.868225	+	1.50381i
$484$	10.4719	+	6.04595i	0.475995	+	0.274816i
$485$	2.62208	+	23.1005i	0.119063	+	1.04894i
$486$	−13.3424	+	13.3424i	−0.605221	+	0.605221i
$487$	−14.9953	+	8.65752i	−0.679500	+	0.392310i	−0.799667	−	0.600444i	$-0.794991\pi$
$487$	−14.9953	+	8.65752i	−0.679500	+	0.392310i	0.120166	+	0.992754i	$0.461657\pi$
$488$	1.43097	−	0.826168i	0.0647767	−	0.0373989i
$489$	−34.6232	+	34.6232i	−1.56572	+	1.56572i
$490$	−1.49595	−	13.1793i	−0.0675801	−	0.595379i
$491$	3.48033	+	2.00937i	0.157065	+	0.0906815i	0.576472	−	0.817117i	$-0.304429\pi$
$491$	3.48033	+	2.00937i	0.157065	+	0.0906815i	−0.419407	+	0.907798i	$0.637762\pi$
$492$	−0.654276	+	1.13324i	−0.0294970	+	0.0510903i
$493$	−11.7016	+	11.7016i	−0.527011	+	0.527011i
$494$	4.18834	−	10.0622i	0.188442	−	0.452720i
$495$	−17.4807	−	44.4324i	−0.785700	−	1.99709i
$496$	−1.46502	−	5.46754i	−0.0657815	−	0.245500i
$497$	−8.98739	−	33.5414i	−0.403139	−	1.50454i
$498$	−28.6517	−	7.67719i	−1.28391	−	0.344023i
$499$	−7.93374	−	7.93374i	−0.355163	−	0.355163i	0.506864	−	0.862026i	$-0.330805\pi$
$499$	−7.93374	−	7.93374i	−0.355163	−	0.355163i	−0.862026	+	0.506864i	$0.830805\pi$
$500$	−8.49239	−	7.27182i	−0.379791	−	0.325206i
$501$	13.8119	−	51.5469i	0.617072	−	2.30295i
$502$	−5.64570			−0.251980
$503$	0.784369	−	2.92730i	0.0349733	−	0.130522i	−0.946232	−	0.323489i	$-0.895144\pi$
$503$	0.784369	−	2.92730i	0.0349733	−	0.130522i	0.981205	+	0.192967i	$0.0618109\pi$
$504$	7.98978	−	13.8387i	0.355893	−	0.616425i
$505$	17.7617	−	13.1313i	0.790384	−	0.584337i
$506$			18.6915i			0.830940i
$507$	−17.8402	+	30.6544i	−0.792313	+	1.36141i
$508$	−7.75232	−	7.75232i	−0.343953	−	0.343953i
$509$	39.0675	−	10.4681i	1.73164	−	0.463991i	0.751078	−	0.660214i	$-0.229534\pi$
$509$	39.0675	−	10.4681i	1.73164	−	0.463991i	0.980559	+	0.196223i	$0.0628676\pi$
$510$	11.4825	+	15.5315i	0.508456	+	0.687746i
$511$	−34.9297	+	20.1667i	−1.54520	+	0.892121i
$512$			1.00000i			0.0441942i
$513$	−5.95288	−	10.3107i	−0.262826	−	0.455228i
$514$	0.522706	+	0.140059i	0.0230556	+	0.00617772i
$515$	0.859188	+	2.18388i	0.0378604	+	0.0962333i
$516$	−3.91884	−	6.78763i	−0.172517	−	0.298809i
$517$	33.3248	−	8.92936i	1.46562	−	0.392713i
$518$	−15.9097	−	9.18547i	−0.699032	−	0.403586i
$519$	40.7919			1.79057
$520$	−8.06071	−	0.158074i	−0.353485	−	0.00693202i
$521$	17.0630			0.747546			0.373773	−	0.927520i	$-0.378064\pi$
$521$	17.0630			0.747546			0.373773	+	0.927520i	$0.378064\pi$
$522$	−20.1142	−	11.6129i	−0.880374	−	0.508284i
$523$	31.0973	−	8.33249i	1.35979	−	0.364354i	0.496050	−	0.868294i	$-0.334783\pi$
$523$	31.0973	−	8.33249i	1.35979	−	0.364354i	0.863739	+	0.503939i	$0.168116\pi$
$524$	−7.83984	−	13.5790i	−0.342485	−	0.593202i
$525$	−1.75344	+	49.0245i	−0.0765266	+	2.13961i
$526$	−0.812458	−	0.217697i	−0.0354249	−	0.00949206i
$527$	−8.96067	−	15.5203i	−0.390333	−	0.676076i
$528$		−	13.1106i		−	0.570564i
$529$	6.81588	−	3.93515i	0.296343	−	0.171094i
$530$	6.88534	+	1.03200i	0.299080	+	0.0448270i
$531$	−44.5614	+	11.9402i	−1.93380	+	0.518160i
$532$	−7.68657	−	7.68657i	−0.333255	−	0.333255i
$533$	−1.05035	−	1.37377i	−0.0454959	−	0.0595045i
$534$		−	27.9309i		−	1.20869i
$535$	−16.1443	−	2.41976i	−0.697981	−	0.104615i
$536$	−1.74539	+	3.02310i	−0.0753892	+	0.130578i
$537$	−1.37422	+	5.12864i	−0.0593018	+	0.221317i
$538$	19.5554			0.843094
$539$	−7.37755	+	27.5334i	−0.317774	+	1.18595i
$540$	−5.48535	+	6.89005i	−0.236052	+	0.296501i
$541$	−6.85528	−	6.85528i	−0.294732	−	0.294732i	0.544215	−	0.838946i	$-0.316828\pi$
$541$	−6.85528	−	6.85528i	−0.294732	−	0.294732i	−0.838946	+	0.544215i	$0.816828\pi$
$542$	−15.9289	−	4.26814i	−0.684206	−	0.183332i
$543$	16.6520	+	62.1462i	0.714607	+	2.66695i
$544$	0.819442	+	3.05820i	0.0351333	+	0.131119i
$545$	−0.145105	+	0.0570874i	−0.00621560	+	0.00244536i
$546$	21.4861	+	28.1019i	0.919520	+	1.20265i
$547$	2.06001	−	2.06001i	0.0880795	−	0.0880795i	−0.661694	−	0.749774i	$-0.730162\pi$
$547$	2.06001	−	2.06001i	0.0880795	−	0.0880795i	0.749774	+	0.661694i	$0.230162\pi$
$548$	−1.42075	+	2.46082i	−0.0606916	+	0.105121i
$549$	6.35864	+	3.67116i	0.271380	+	0.156681i
$550$	11.2621	+	21.2241i	0.480216	+	0.904999i
$551$	−11.1722	+	11.1722i	−0.475953	+	0.475953i
$552$	9.19046	−	5.30612i	0.391172	−	0.225843i
$553$	3.79463	−	2.19083i	0.161364	−	0.0931637i
$554$	11.3135	−	11.3135i	0.480666	−	0.480666i
$555$	24.3824	+	19.4115i	1.03498	+	0.823971i
$556$	13.8773	+	8.01209i	0.588531	+	0.339788i
$557$	−13.4218	+	23.2473i	−0.568701	+	0.985019i	0.427994	+	0.903782i	$0.359221\pi$
$557$	−13.4218	+	23.2473i	−0.568701	+	0.985019i	−0.996695	+	0.0812375i	$0.974113\pi$
$558$	17.7856	−	17.7856i	0.752924	−	0.752924i
$559$	10.2715	−	1.33417i	0.434439	−	0.0564295i
$560$	−3.20949	+	7.37280i	−0.135626	+	0.311558i
$561$	−10.7433	−	40.0947i	−0.453584	−	1.69280i
$562$	−4.34902	−	16.2308i	−0.183452	−	0.684653i
$563$	29.0211	+	7.77619i	1.22309	+	0.327727i	0.811887	−	0.583815i	$-0.198440\pi$
$563$	29.0211	+	7.77619i	1.22309	+	0.327727i	0.411208	+	0.911542i	$0.365107\pi$
$564$	−13.8507	−	13.8507i	−0.583218	−	0.583218i
$565$	−8.40864	−	6.69434i	−0.353754	−	0.281633i
$566$	−6.19613	+	23.1243i	−0.260443	+	0.971986i
$567$	−9.29662			−0.390421
$568$	−2.49922	+	9.32721i	−0.104865	+	0.391361i
$569$	10.0733	−	17.4475i	0.422296	−	0.731438i	−0.573868	−	0.818948i	$-0.694558\pi$
$569$	10.0733	−	17.4475i	0.422296	−	0.731438i	0.996164	+	0.0875099i	$0.0278909\pi$
$570$	10.9631	+	14.8289i	0.459195	+	0.621115i
$571$		−	13.4281i		−	0.561947i	−0.959716	−	0.280973i	$-0.909343\pi$
$571$		−	13.4281i		−	0.561947i	0.959716	−	0.280973i	$-0.0906573\pi$
$572$	15.9957	+	6.65814i	0.668816	+	0.278391i
$573$	−1.18139	−	1.18139i	−0.0493533	−	0.0493533i
$574$	−1.66599	+	0.446401i	−0.0695371	+	0.0186324i
$575$	−10.3200	+	16.4845i	−0.430375	+	0.687452i
$576$	−3.84827	+	2.22180i	−0.160345	+	0.0925750i
$577$		−	42.6338i		−	1.77487i	−0.460935	−	0.887434i	$-0.652486\pi$
$577$		−	42.6338i		−	1.77487i	0.460935	−	0.887434i	$-0.347514\pi$
$578$	−3.48797	−	6.04134i	−0.145080	−	0.251286i
$579$	−59.4088	−	15.9185i	−2.46895	−	0.661552i
$580$	10.7162	+	4.66491i	0.444965	+	0.193700i
$581$	−19.5485	−	33.8590i	−0.811009	−	1.40471i
$582$	−27.4000	+	7.34181i	−1.13577	+	0.304328i
$583$	−12.9576	−	7.48108i	−0.536650	−	0.309835i
$584$	11.2159			0.464118
$585$	−17.3010	−	31.3710i	−0.715307	−	1.29703i
$586$	17.4454			0.720661
$587$	9.58635	+	5.53468i	0.395671	+	0.228441i	0.684614	−	0.728905i	$-0.259971\pi$
$587$	9.58635	+	5.53468i	0.395671	+	0.228441i	−0.288943	+	0.957346i	$0.593304\pi$
$588$	15.6323	−	4.18865i	0.644663	−	0.172737i
$589$	−8.55533	−	14.8183i	−0.352516	−	0.610576i
$590$	21.6031	−	8.49913i	0.889384	−	0.349904i
$591$	32.6762	+	8.75557i	1.34412	+	0.360156i
$592$	2.55430	+	4.42418i	0.104981	+	0.181833i
$593$		−	14.9703i		−	0.614758i	−0.951587	−	0.307379i	$-0.900548\pi$
$593$		−	14.9703i		−	0.614758i	0.951587	−	0.307379i	$-0.0994519\pi$
$594$	16.3908	−	9.46322i	0.672521	−	0.388280i
$595$	−3.77367	+	25.1775i	−0.154706	+	1.03218i
$596$	−10.6981	+	2.86654i	−0.438210	+	0.117418i
$597$	10.0058	+	10.0058i	0.409511	+	0.409511i
$598$	1.80647	+	13.9076i	0.0738722	+	0.568726i
$599$			31.8600i			1.30176i	0.759179	+	0.650882i	$0.225601\pi$
$599$			31.8600i			1.30176i	−0.759179	+	0.650882i	$0.774399\pi$
$600$	7.23866	−	11.5625i	0.295517	−	0.472038i
$601$	12.5762	−	21.7825i	0.512992	−	0.888528i	−0.486895	−	0.873461i	$-0.661870\pi$
$601$	12.5762	−	21.7825i	0.512992	−	0.888528i	0.999886	−	0.0150673i	$-0.00479624\pi$
$602$	2.67375	−	9.97859i	0.108974	−	0.406697i
$603$	−15.5116			−0.631681
$604$	0.223106	−	0.832642i	0.00907804	−	0.0338797i
$605$	−3.04947	−	26.8658i	−0.123979	−	1.09225i
$606$	19.0573	+	19.0573i	0.774149	+	0.774149i
$607$	13.0370	+	3.49326i	0.529156	+	0.141787i	0.513498	−	0.858091i	$-0.328349\pi$
$607$	13.0370	+	3.49326i	0.529156	+	0.141787i	0.0156574	+	0.999877i	$0.495016\pi$
$608$	0.782374	+	2.91986i	0.0317295	+	0.118416i
$609$	−13.2725	−	49.5337i	−0.537830	−	2.00721i
$610$	−3.38767	−	1.47470i	−0.137163	−	0.0597090i
$611$	23.9327	−	9.86472i	0.968214	−	0.399084i
$612$	−9.94814	+	9.94814i	−0.402130	+	0.402130i
$613$	0.774696	−	1.34181i	0.0312897	−	0.0541953i	−0.849957	−	0.526853i	$-0.823372\pi$
$613$	0.774696	−	1.34181i	0.0312897	−	0.0541953i	0.881246	+	0.472658i	$0.156705\pi$
$614$	15.0783	+	8.70544i	0.608509	+	0.351323i
$615$	2.90734	−	0.330006i	0.117235	−	0.0133071i
$616$	12.2192	−	12.2192i	0.492327	−	0.492327i
$617$	0.323594	−	0.186827i	0.0130274	−	0.00752138i	−0.493472	−	0.869762i	$-0.664273\pi$
$617$	0.323594	−	0.186827i	0.0130274	−	0.00752138i	0.506500	+	0.862240i	$0.330939\pi$
$618$	−2.47980	+	1.43171i	−0.0997521	+	0.0575919i
$619$	−10.9674	+	10.9674i	−0.440817	+	0.440817i	−0.892287	−	0.451469i	$-0.850900\pi$
$619$	−10.9674	+	10.9674i	−0.440817	+	0.440817i	0.451469	+	0.892287i	$0.350900\pi$
$620$	−7.88340	+	9.90220i	−0.316605	+	0.397682i
$621$	13.2674	+	7.65992i	0.532401	+	0.307382i
$622$	−3.56103	+	6.16789i	−0.142784	+	0.247310i
$623$	26.0321	−	26.0321i	1.04295	−	1.04295i
$624$	−1.26709	−	9.75507i	−0.0507243	−	0.390515i
$625$	−1.78605	+	24.9361i	−0.0714420	+	0.997445i
$626$	1.46918	+	5.48305i	0.0587202	+	0.219147i
$627$	−10.2574	−	38.2810i	−0.409640	−	1.52880i
$628$	12.5233	+	3.35562i	0.499736	+	0.133904i
$629$	11.4369	+	11.4369i	0.456019	+	0.456019i
$630$	−35.5034	+	4.02991i	−1.41449	+	0.160555i
$631$	−5.85911	+	21.8665i	−0.233247	+	0.870491i	0.745684	+	0.666300i	$0.232123\pi$
$631$	−5.85911	+	21.8665i	−0.233247	+	0.870491i	−0.978931	+	0.204191i	$0.934544\pi$
$632$	−1.21846			−0.0484676
$633$	−1.23611	+	4.61321i	−0.0491308	+	0.183359i
$634$	1.92219	−	3.32933i	0.0763400	−	0.132225i
$635$	−3.63379	+	24.2442i	−0.144202	+	0.962100i
$636$			8.49486i			0.336843i
$637$	−2.82834	+	21.1996i	−0.112063	+	0.839957i
$638$	−17.7603	−	17.7603i	−0.703138	−	0.703138i
$639$	−41.4464	+	11.1055i	−1.63959	+	0.439328i
$640$	1.79804	−	1.32930i	0.0710738	−	0.0525454i
$641$	−7.24531	+	4.18308i	−0.286173	+	0.165222i	−0.636215	−	0.771512i	$-0.719501\pi$
$641$	−7.24531	+	4.18308i	−0.286173	+	0.165222i	0.350042	+	0.936734i	$0.386167\pi$
$642$		−	19.9183i		−	0.786111i
$643$	−12.3583	−	21.4051i	−0.487362	−	0.844136i	0.512532	−	0.858668i	$-0.328708\pi$
$643$	−12.3583	−	21.4051i	−0.487362	−	0.844136i	−0.999894	+	0.0145319i	$0.995374\pi$
$644$	13.5110	+	3.62027i	0.532409	+	0.142659i
$645$	−6.99510	+	16.0691i	−0.275432	+	0.632718i
$646$	4.78531	+	8.28841i	0.188276	+	0.326103i
$647$	32.3337	−	8.66380i	1.27117	−	0.340609i	0.440691	−	0.897659i	$-0.354733\pi$
$647$	32.3337	−	8.66380i	1.27117	−	0.340609i	0.830479	+	0.557049i	$0.188067\pi$
$648$	2.23886	+	1.29260i	0.0879506	+	0.0507783i
$649$	−49.8896			−1.95834
$650$	10.4309	+	14.7036i	0.409134	+	0.576723i
$651$	55.5353			2.17660
$652$	15.5425	+	8.97349i	0.608693	+	0.351429i
$653$	16.2850	−	4.36355i	0.637281	−	0.170759i	0.0743095	−	0.997235i	$-0.476325\pi$
$653$	16.2850	−	4.36355i	0.637281	−	0.170759i	0.562972	+	0.826476i	$0.309658\pi$
$654$	−0.0951279	−	0.164766i	−0.00371979	−	0.00644287i
$655$	−13.9941	+	32.1470i	−0.546793	+	1.25609i
$656$	0.463279	+	0.124135i	0.0180880	+	0.00484667i
$657$	24.9195	+	43.1619i	0.972203	+	1.68391i
$658$		−	25.8181i		−	1.00649i
$659$	15.3740	−	8.87621i	0.598888	−	0.345768i	−0.169716	−	0.985493i	$-0.554285\pi$
$659$	15.3740	−	8.87621i	0.598888	−	0.345768i	0.768604	+	0.639725i	$0.220952\pi$
$660$	−23.5733	+	17.4279i	−0.917590	+	0.678381i
$661$	−3.40284	+	0.911788i	−0.132355	+	0.0354645i	−0.324388	−	0.945924i	$-0.605158\pi$
$661$	−3.40284	+	0.911788i	−0.132355	+	0.0354645i	0.192033	+	0.981388i	$0.438492\pi$
$662$	−9.94243	−	9.94243i	−0.386423	−	0.386423i
$663$	−11.8687	−	28.7946i	−0.460943	−	1.11829i
$664$			10.8721i			0.421920i
$665$	−3.60297	+	24.0386i	−0.139717	+	0.932176i
$666$	−11.3503	+	19.6593i	−0.439815	+	0.761781i
$667$	5.26196	−	19.6379i	0.203744	−	0.760383i
$668$	−19.5599			−0.756796
$669$	12.6167	−	47.0863i	0.487791	−	1.82046i
$670$	7.75580	−	0.880343i	0.299633	−	0.0340106i
$671$	5.61453	+	5.61453i	0.216746	+	0.216746i
$672$	−9.47687	−	2.53932i	−0.365578	−	0.0979563i
$673$	6.12305	+	22.8515i	0.236026	+	0.880861i	0.977684	+	0.210083i	$0.0673733\pi$
$673$	6.12305	+	22.8515i	0.236026	+	0.880861i	−0.741657	+	0.670779i	$0.765960\pi$
$674$	7.79622	+	29.0959i	0.300299	+	1.12073i
$675$	19.6803	+	0.703899i	0.757495	+	0.0270931i
$676$	12.5453	+	3.40813i	0.482512	+	0.131082i
$677$	12.1351	−	12.1351i	0.466389	−	0.466389i	−0.434354	−	0.900742i	$-0.643023\pi$
$677$	12.1351	−	12.1351i	0.466389	−	0.466389i	0.900742	+	0.434354i	$0.143023\pi$
$678$	6.55699	−	11.3570i	0.251819	−	0.436164i
$679$	−32.3799	−	18.6946i	−1.24263	−	0.717431i
$680$	4.40948	−	5.53867i	0.169096	−	0.212398i
$681$	−31.8455	+	31.8455i	−1.22032	+	1.22032i
$682$	23.5564	−	13.6003i	0.902021	−	0.520782i
$683$	14.7605	−	8.52200i	0.564796	−	0.326085i	−0.190272	−	0.981731i	$-0.560937\pi$
$683$	14.7605	−	8.52200i	0.564796	−	0.326085i	0.755068	+	0.655646i	$0.227604\pi$
$684$	−9.49814	+	9.49814i	−0.363170	+	0.363170i
$685$	6.31327	−	0.716605i	0.241218	−	0.0273801i
$686$	−3.32671	−	1.92067i	−0.127014	−	0.0733317i
$687$	39.8128	−	68.9579i	1.51895	−	2.63091i
$688$	−2.03133	+	2.03133i	−0.0774438	+	0.0774438i
$689$	−10.3643	−	4.31408i	−0.394848	−	0.164353i
$690$	−21.7575	−	9.47138i	−0.828295	−	0.360569i
$691$	3.39371	+	12.6655i	0.129103	+	0.481818i	0.999953	−	0.00973090i	$-0.00309749\pi$
$691$	3.39371	+	12.6655i	0.129103	+	0.481818i	−0.870850	+	0.491549i	$0.836431\pi$
$692$	−3.86971	−	14.4420i	−0.147104	−	0.549001i
$693$	74.1717	+	19.8742i	2.81755	+	0.754960i
$694$	3.36421	+	3.36421i	0.127704	+	0.127704i
$695$	−4.04116	−	35.6025i	−0.153290	−	1.35048i
$696$	−3.69083	+	13.7744i	−0.139901	+	0.522116i
$697$	1.51852			0.0575181
$698$	−4.94358	+	18.4497i	−0.187117	+	0.698331i
$699$	−10.1104	+	17.5117i	−0.382409	+	0.662352i
$700$	17.5230	−	4.02991i	0.662306	−	0.152316i
$701$			46.8894i			1.77099i	0.464649	+	0.885495i	$0.346180\pi$
$701$			46.8894i			1.77099i	−0.464649	+	0.885495i	$0.653820\pi$
$702$	11.2812	−	8.62533i	0.425780	−	0.325542i
$703$	10.9196	+	10.9196i	0.411839	+	0.411839i
$704$	−4.64166	+	1.24373i	−0.174939	+	0.0468748i
$705$	−6.49230	+	43.3158i	−0.244514	+	1.63137i
$706$	3.48374	−	2.01134i	0.131112	−	0.0756978i
$707$			35.5233i			1.33599i
$708$	14.1626	+	24.5303i	0.532262	+	0.921904i
$709$	5.34513	+	1.43222i	0.200741	+	0.0537883i	0.357788	−	0.933803i	$-0.383531\pi$
$709$	5.34513	+	1.43222i	0.200741	+	0.0537883i	−0.157048	+	0.987591i	$0.550198\pi$
$710$	20.0929	−	7.90501i	0.754074	−	0.296670i
$711$	−2.70717	−	4.68895i	−0.101527	−	0.175849i
$712$	−9.88867	+	2.64966i	−0.370594	+	0.0993002i
$713$	19.0675	+	11.0086i	0.714084	+	0.412277i
$714$	−31.0630			−1.16250
$715$	−9.29161	−	37.6117i	−0.347487	−	1.40660i
$716$	1.94611			0.0727295
$717$	43.0754	+	24.8696i	1.60868	+	0.928771i
$718$	−18.2361	+	4.88634i	−0.680564	+	0.182357i
$719$	−16.6164	−	28.7804i	−0.619686	−	1.07333i	−0.989543	−	0.144239i	$-0.953927\pi$
$719$	−16.6164	−	28.7804i	−0.619686	−	1.07333i	0.369857	−	0.929089i	$-0.379407\pi$
$720$	9.11041	+	3.96590i	0.339525	+	0.147800i
$721$	−3.64558	−	0.976831i	−0.135769	−	0.0363791i
$722$	−4.93115	−	8.54100i	−0.183518	−	0.317863i
$723$		−	37.9261i		−	1.41049i
$724$	20.4225	−	11.7910i	0.758998	−	0.438208i
$725$	−5.85736	−	25.4692i	−0.217537	−	0.945902i
$726$	31.8661	−	8.53851i	1.18266	−	0.316894i
$727$	−16.7584	−	16.7584i	−0.621535	−	0.621535i	0.324389	−	0.945924i	$-0.394841\pi$
$727$	−16.7584	−	16.7584i	−0.621535	−	0.621535i	−0.945924	+	0.324389i	$0.894841\pi$
$728$	7.91092	−	10.2728i	0.293198	−	0.380736i
$729$			43.7244i			1.61942i
$730$	−14.9094	−	20.1667i	−0.551820	−	0.746402i
$731$	−4.54766	+	7.87677i	−0.168201	+	0.291333i
$732$	1.16677	−	4.35445i	0.0431252	−	0.160945i
$733$	−17.6137			−0.650578			−0.325289	−	0.945615i	$-0.605462\pi$
$733$	−17.6137			−0.650578			−0.325289	+	0.945615i	$0.605462\pi$
$734$	9.44083	−	35.2337i	0.348467	−	1.30050i
$735$	−28.3114	−	22.5394i	−1.04428	−	0.831379i
$736$	−2.75043	−	2.75043i	−0.101382	−	0.101382i
$737$	−16.2030	−	4.34158i	−0.596845	−	0.159924i
$738$	0.551608	+	2.05863i	0.0203050	+	0.0757792i
$739$	8.08488	+	30.1732i	0.297407	+	1.10994i	0.939287	+	0.343133i	$0.111488\pi$
$739$	8.08488	+	30.1732i	0.297407	+	1.10994i	−0.641879	+	0.766806i	$0.721845\pi$
$740$	4.55940	−	10.4738i	0.167607	−	0.385025i
$741$	−11.3318	−	27.4921i	−0.416286	−	1.00995i
$742$	−7.91734	+	7.91734i	−0.290655	+	0.290655i
$743$	7.20098	−	12.4725i	0.264178	−	0.457570i	−0.703170	−	0.711022i	$-0.748233\pi$
$743$	7.20098	−	12.4725i	0.264178	−	0.457570i	0.967348	+	0.253452i	$0.0815659\pi$
$744$	−13.3743	−	7.72165i	−0.490325	−	0.283089i
$745$	19.3751	+	15.4250i	0.709850	+	0.565130i
$746$	12.7764	−	12.7764i	0.467779	−	0.467779i
$747$	−41.8389	+	24.1557i	−1.53081	+	0.883811i
$748$	−13.1760	+	7.60715i	−0.481761	+	0.278145i
$749$	18.5641	−	18.5641i	0.678318	−	0.678318i
$750$	−30.4123	+	2.35472i	−1.11050	+	0.0859822i
$751$	−22.8244	−	13.1777i	−0.832875	−	0.480861i	0.0219611	−	0.999759i	$-0.493009\pi$
$751$	−22.8244	−	13.1777i	−0.832875	−	0.480861i	−0.854836	+	0.518898i	$0.826342\pi$
$752$	−3.58975	+	6.21763i	−0.130905	+	0.226734i
$753$	−10.8917	+	10.8917i	−0.396915	+	0.396915i
$754$	−14.9313	−	11.4983i	−0.543764	−	0.418744i
$755$	−1.79370	+	0.705682i	−0.0652794	+	0.0256824i
$756$	−3.66577	−	13.6808i	−0.133323	−	0.497567i
$757$	12.8291	+	47.8787i	0.466280	+	1.74018i	0.652610	+	0.757694i	$0.273674\pi$
$757$	12.8291	+	47.8787i	0.466280	+	1.74018i	−0.186330	+	0.982487i	$0.559659\pi$
$758$	−13.1989	−	3.53663i	−0.479406	−	0.128456i
$759$	36.0596	+	36.0596i	1.30888	+	1.30888i
$760$	4.21001	−	5.28813i	0.152713	−	0.191820i
$761$	−9.10073	+	33.9644i	−0.329901	+	1.23121i	0.579391	+	0.815050i	$0.303290\pi$
$761$	−9.10073	+	33.9644i	−0.329901	+	1.23121i	−0.909292	+	0.416158i	$0.863376\pi$
$762$	−29.9115			−1.08358
$763$	0.0649040	−	0.242225i	0.00234968	−	0.00876914i
$764$	−0.306187	+	0.530332i	−0.0110775	+	0.0191867i
$765$	31.1113	+	4.66305i	1.12483	+	0.168593i
$766$		−	37.5566i		−	1.35698i
$767$	−37.1209	+	4.82166i	−1.34036	+	0.174100i
$768$	1.92920	+	1.92920i	0.0696139	+	0.0696139i
$769$	36.6444	−	9.81885i	1.32143	−	0.354077i	0.471918	−	0.881642i	$-0.343562\pi$
$769$	36.6444	−	9.81885i	1.32143	−	0.354077i	0.849514	+	0.527566i	$0.176895\pi$
$770$	−38.2138	−	5.72759i	−1.37713	−	0.206408i
$771$	1.27860	−	0.738202i	0.0460478	−	0.0265857i
$772$			22.5432i			0.811347i
$773$	0.546174	+	0.946002i	0.0196445	+	0.0340253i	0.875681	−	0.482891i	$-0.160413\pi$
$773$	0.546174	+	0.946002i	0.0196445	+	0.0340253i	−0.856036	+	0.516916i	$0.827080\pi$
$774$	−12.3303	−	3.30390i	−0.443205	−	0.118756i
$775$	28.2840	+	1.01162i	1.01599	+	0.0363386i
$776$	5.19859	+	9.00422i	0.186619	+	0.323233i
$777$	−48.4135	+	12.9724i	−1.73682	+	0.465381i
$778$	−16.0813	−	9.28456i	−0.576544	−	0.332868i
$779$	1.44983			0.0519456
$780$	−15.8556	+	15.2457i	−0.567723	+	0.545885i
$781$	−46.4021			−1.66040
$782$	−10.6652	−	6.15754i	−0.381386	−	0.220193i
$783$	−19.8847	+	5.32809i	−0.710622	+	0.190410i
$784$	−2.96590	−	5.13709i	−0.105925	−	0.183467i
$785$	−10.6138	−	26.9781i	−0.378823	−	0.962890i
$786$	−41.3212	−	11.0720i	−1.47388	−	0.394924i
$787$	8.13003	+	14.0816i	0.289804	+	0.501956i	0.973763	−	0.227565i	$-0.0730764\pi$
$787$	8.13003	+	14.0816i	0.289804	+	0.501956i	−0.683958	+	0.729521i	$0.739743\pi$
$788$		−	12.3993i		−	0.441706i
$789$	−1.98737	+	1.14741i	−0.0707524	+	0.0408489i
$790$	1.61970	+	2.19083i	0.0576263	+	0.0779463i
$791$	16.6961	−	4.47371i	0.593646	−	0.159067i
$792$	−15.0991	−	15.0991i	−0.536522	−	0.536522i
$793$	4.72018	+	3.63493i	0.167618	+	0.129080i
$794$			31.9004i			1.13210i
$795$	15.2741	−	11.2923i	0.541717	−	0.400495i
$796$	2.59326	−	4.49166i	0.0919156	−	0.159203i
$797$	1.64815	−	6.15098i	0.0583805	−	0.217879i	−0.930573	−	0.366107i	$-0.880690\pi$
$797$	1.64815	−	6.15098i	0.0583805	−	0.217879i	0.988953	+	0.148228i	$0.0473570\pi$
$798$	−29.6578			−1.04988
$799$	−5.88318	+	21.9563i	−0.208132	+	0.776760i
$800$	−4.78029	−	1.46590i	−0.169009	−	0.0518273i
$801$	−32.1673	−	32.1673i	−1.13657	−	1.13657i
$802$	23.9250	+	6.41067i	0.844820	+	0.226369i
$803$	13.9496	+	52.0605i	0.492269	+	1.83717i
$804$	2.46496	+	9.19935i	0.0869323	+	0.324436i
$805$	−11.4509	−	29.1058i	−0.403591	−	1.02584i
$806$	16.2130	−	12.3961i	0.571078	−	0.436634i
$807$	37.7263	−	37.7263i	1.32803	−	1.32803i
$808$	4.93918	−	8.55490i	0.173760	−	0.300960i
$809$	−42.1143	−	24.3147i	−1.48066	−	0.854859i	−0.480900	−	0.876776i	$-0.659690\pi$
$809$	−42.1143	−	24.3147i	−1.48066	−	0.854859i	−0.999760	+	0.0219163i	$0.993023\pi$
$810$	−0.651968	−	5.74382i	−0.0229078	−	0.201817i
$811$	30.3677	−	30.3677i	1.06635	−	1.06635i	0.0687168	−	0.997636i	$-0.478110\pi$
$811$	30.3677	−	30.3677i	1.06635	−	1.06635i	0.997636	−	0.0687168i	$-0.0218905\pi$
$812$	−16.2778	+	9.39801i	−0.571240	+	0.329805i
$813$	−38.9641	+	22.4959i	−1.36653	+	0.788967i
$814$	−17.3587	+	17.3587i	−0.608421	+	0.608421i
$815$	−4.52607	−	39.8746i	−0.158541	−	1.39675i
$816$	7.48073	+	4.31900i	0.261878	+	0.151195i
$817$	−4.34194	+	7.52047i	−0.151905	+	0.263108i
$818$	0.114426	−	0.114426i	0.00400082	−	0.00400082i
$819$	57.1091	+	7.61922i	1.99555	+	0.266237i
$820$	−0.392639	−	0.998009i	−0.0137116	−	0.0348520i
$821$	2.22871	+	8.31766i	0.0777826	+	0.290288i	0.993850	−	0.110736i	$-0.0353209\pi$
$821$	2.22871	+	8.31766i	0.0777826	+	0.290288i	−0.916067	+	0.401025i	$0.868654\pi$
$822$	2.00649	+	7.48832i	0.0699844	+	0.261185i
$823$	−19.5380	−	5.23518i	−0.681050	−	0.182487i	−0.0983229	−	0.995155i	$-0.531348\pi$
$823$	−19.5380	−	5.23518i	−0.681050	−	0.182487i	−0.582727	+	0.812668i	$0.698014\pi$
$824$	0.742128	+	0.742128i	0.0258533	+	0.0258533i
$825$	62.6722	+	19.2187i	2.18197	+	0.669111i
$826$	−9.66286	+	36.0623i	−0.336214	+	1.25477i
$827$	−27.1385			−0.943698			−0.471849	−	0.881679i	$-0.656413\pi$
$827$	−27.1385			−0.943698			−0.471849	+	0.881679i	$0.656413\pi$
$828$	4.47349	−	16.6953i	0.155465	−	0.580202i
$829$	−6.63461	+	11.4915i	−0.230430	+	0.399116i	−0.957935	−	0.286987i	$-0.907346\pi$
$829$	−6.63461	+	11.4915i	−0.230430	+	0.399116i	0.727505	+	0.686102i	$0.240680\pi$
$830$	19.5485	−	14.4524i	0.678539	−	0.501649i
$831$		−	43.6520i		−	1.51427i
$832$	−3.33348	+	1.37401i	−0.115568	+	0.0476353i
$833$	−13.2798	−	13.2798i	−0.460119	−	0.460119i
$834$	42.2290	−	11.3152i	1.46227	−	0.391815i
$835$	26.0011	+	35.1695i	0.899805	+	1.21709i
$836$	−12.5799	+	7.26304i	−0.435087	+	0.251197i
$837$		−	22.2940i		−	0.770592i
$838$	17.7501	+	30.7441i	0.613168	+	1.06204i
$839$	−20.8525	−	5.58740i	−0.719907	−	0.192899i	−0.119777	−	0.992801i	$-0.538218\pi$
$839$	−20.8525	−	5.58740i	−0.719907	−	0.192899i	−0.600130	+	0.799902i	$0.704885\pi$
$840$	8.03185	+	20.4153i	0.277125	+	0.704395i
$841$	−0.840245	−	1.45535i	−0.0289740	−	0.0501844i
$842$	13.3015	−	3.56413i	0.458400	−	0.122828i
$843$	−39.7024	−	22.9222i	−1.36742	−	0.789483i
$844$	1.75052			0.0602555
$845$	−10.5486	−	27.0874i	−0.362882	−	0.931835i
$846$	−31.9028			−1.09684
$847$	37.6577	+	21.7417i	1.29394	+	0.747054i
$848$	3.00752	−	0.805862i	0.103279	−	0.0276734i
$849$	32.6577	+	56.5648i	1.12081	+	1.94130i
$850$	−15.8203	−	0.565839i	−0.542631	−	0.0194081i
$851$	−19.1938	−	5.14296i	−0.657954	−	0.176298i
$852$	13.1725	+	22.8155i	0.451284	+	0.781646i
$853$		−	8.54409i		−	0.292544i	−0.989244	−	0.146272i	$-0.953273\pi$
$853$		−	8.54409i		−	0.292544i	0.989244	−	0.146272i	$-0.0467275\pi$
$854$	5.14587	−	2.97097i	0.176088	−	0.101664i
$855$	29.7040	+	4.45212i	1.01585	+	0.152259i
$856$	−7.05186	+	1.88954i	−0.241027	+	0.0645831i
$857$	25.0597	+	25.0597i	0.856023	+	0.856023i	0.990867	−	0.134844i	$-0.0430532\pi$
$857$	25.0597	+	25.0597i	0.856023	+	0.856023i	−0.134844	+	0.990867i	$0.543053\pi$
$858$	43.7038	−	18.0141i	1.49202	−	0.614990i
$859$			20.1553i			0.687691i	0.939026	+	0.343845i	$0.111730\pi$
$859$			20.1553i			0.687691i	−0.939026	+	0.343845i	$0.888270\pi$
$860$	6.35268	+	0.952157i	0.216624	+	0.0324683i
$861$	−2.35283	+	4.07522i	−0.0801842	+	0.138883i
$862$	−5.14321	+	19.1947i	−0.175178	+	0.653775i
$863$	50.9511			1.73440			0.867198	−	0.497964i	$-0.165919\pi$
$863$	50.9511			1.73440			0.867198	+	0.497964i	$0.165919\pi$
$864$	−1.01938	+	3.80437i	−0.0346799	+	0.129427i
$865$	−20.8232	+	26.1557i	−0.708010	+	0.889320i
$866$	9.58050	+	9.58050i	0.325559	+	0.325559i
$867$	−18.3839	−	4.92595i	−0.624350	−	0.167294i
$868$	−5.26834	−	19.6617i	−0.178819	−	0.667362i
$869$	−1.51543	−	5.65566i	−0.0514074	−	0.191855i
$870$	29.6731	−	11.6741i	1.00601	−	0.395788i
$871$	−12.4756	−	1.66444i	−0.422720	−	0.0563973i
$872$	−0.0493096	+	0.0493096i	−0.00166983	+	0.00166983i
$873$	−23.1005	+	40.0112i	−0.781832	+	1.35417i
$874$	−10.1827	−	5.87900i	−0.344436	−	0.198860i
$875$	−30.5393	−	26.1500i	−1.03242	−	0.884033i
$876$	21.6377	−	21.6377i	0.731070	−	0.731070i
$877$	36.5646	−	21.1106i	1.23470	−	0.712854i	0.266693	−	0.963781i	$-0.414069\pi$
$877$	36.5646	−	21.1106i	1.23470	−	0.712854i	0.968006	+	0.250928i	$0.0807356\pi$
$878$	−10.8501	+	6.26431i	−0.366174	+	0.211410i
$879$	33.6555	−	33.6555i	1.13517	−	1.13517i
$880$	8.40646	+	6.69260i	0.283382	+	0.225607i
$881$	4.93061	+	2.84669i	0.166116	+	0.0959074i	0.580753	−	0.814080i	$-0.302758\pi$
$881$	4.93061	+	2.84669i	0.166116	+	0.0959074i	−0.414637	+	0.909987i	$0.636091\pi$
$882$	13.1793	−	22.8272i	0.443769	−	0.768631i
$883$	−6.32029	+	6.32029i	−0.212695	+	0.212695i	−0.805411	−	0.592717i	$-0.798055\pi$
$883$	−6.32029	+	6.32029i	−0.212695	+	0.212695i	0.592717	+	0.805411i	$0.298055\pi$
$884$	−9.06852	+	6.93360i	−0.305007	+	0.233202i
$885$	25.2801	−	58.0731i	0.849780	−	1.95210i
$886$	6.84828	+	25.5581i	0.230072	+	0.858642i
$887$	12.3916	+	46.2462i	0.416070	+	1.55279i	0.782683	+	0.622421i	$0.213851\pi$
$887$	12.3916	+	46.2462i	0.416070	+	1.55279i	−0.366613	+	0.930374i	$0.619483\pi$
$888$	13.4629	+	3.60736i	0.451784	+	0.121055i
$889$	−27.8780	−	27.8780i	−0.934996	−	0.934996i
$890$	17.9093	+	14.2580i	0.600319	+	0.477930i
$891$	−3.21530	+	11.9997i	−0.107717	+	0.402004i
$892$	−17.8673			−0.598242
$893$	−5.61706	+	20.9631i	−0.187968	+	0.701505i
$894$	−15.1086	+	26.1688i	−0.505306	+	0.875215i
$895$	−2.58697	−	3.49918i	−0.0864729	−	0.116965i
$896$			3.59608i			0.120137i
$897$	30.3156	+	23.3456i	1.01221	+	0.779485i
$898$	6.47173	+	6.47173i	0.215965	+	0.215965i
$899$	−28.5778	+	7.65739i	−0.953122	+	0.255388i
$900$	−4.97967	−	21.6528i	−0.165989	−	0.721759i
$901$	8.53724	−	4.92898i	0.284417	−	0.164208i
$902$			2.30478i			0.0767407i
$903$	−14.0925	−	24.4089i	−0.468968	−	0.812276i
$904$	−4.64287	−	1.24405i	−0.154420	−	0.0413766i
$905$	−48.3484	−	21.0468i	−1.60716	−	0.699618i
$906$	−1.17592	−	2.03675i	−0.0390672	−	0.0676663i
$907$	−20.9354	+	5.60963i	−0.695149	+	0.186265i	−0.589057	−	0.808092i	$-0.700501\pi$
$907$	−20.9354	+	5.60963i	−0.695149	+	0.186265i	−0.106092	+	0.994356i	$0.533834\pi$
$908$	14.2956	+	8.25357i	0.474416	+	0.273904i
$909$	43.8955			1.45592
$910$	−28.9870	−	0.568448i	−0.960908	−	0.0188439i
$911$	−10.5156			−0.348398			−0.174199	−	0.984710i	$-0.555734\pi$
$911$	−10.5156			−0.348398			−0.174199	+	0.984710i	$0.555734\pi$
$912$	7.14234	+	4.12363i	0.236507	+	0.136547i
$913$	−50.4647	+	13.5220i	−1.67014	+	0.447512i
$914$	7.88142	+	13.6510i	0.260694	+	0.451536i
$915$	−9.38048	+	3.69049i	−0.310109	+	0.122004i
$916$	−28.1907	−	7.55367i	−0.931446	−	0.249580i
$917$	−28.1927	−	48.8312i	−0.931005	−	1.61255i
$918$			12.4698i			0.411566i
$919$	−30.4569	+	17.5843i	−1.00468	+	0.580052i	−0.909630	−	0.415420i	$-0.863635\pi$
$919$	−30.4569	+	17.5843i	−1.00468	+	0.580052i	−0.0950505	+	0.995472i	$0.530301\pi$
$920$	−1.28922	+	8.60153i	−0.0425044	+	0.283584i
$921$	45.8834	−	12.2944i	1.51191	−	0.405115i
$922$	14.7114	+	14.7114i	0.484493	+	0.484493i
$923$	−34.5260	+	4.48461i	−1.13644	+	0.147613i
$924$		−	47.1466i		−	1.55101i
$925$	−24.8932	+	5.72489i	−0.818482	+	0.188233i
$926$	13.9624	−	24.1836i	0.458834	−	0.794723i
$927$	−1.20705	+	4.50477i	−0.0396447	+	0.147956i
$928$	5.22681			0.171578
$929$	−2.03384	+	7.59039i	−0.0667281	+	0.249033i	−0.991231	−	0.132143i	$-0.957814\pi$
$929$	−2.03384	+	7.59039i	−0.0667281	+	0.249033i	0.924503	+	0.381176i	$0.124481\pi$
$930$	3.89467	+	34.3119i	0.127711	+	1.12513i
$931$	−12.6791	−	12.6791i	−0.415542	−	0.415542i
$932$	7.15894	+	1.91823i	0.234499	+	0.0628338i
$933$	5.02914	+	18.7690i	0.164647	+	0.614469i
$934$	−8.65620	−	32.3054i	−0.283240	−	1.05706i
$935$	31.1928	+	13.5787i	1.02011	+	0.444071i
$936$	−12.6939	−	9.77536i	−0.414913	−	0.319518i
$937$	30.8186	−	30.8186i	1.00680	−	1.00680i	0.00682291	−	0.999977i	$-0.497828\pi$
$937$	30.8186	−	30.8186i	1.00680	−	1.00680i	0.999977	−	0.00682291i	$-0.00217182\pi$
$938$	−6.27655	+	10.8713i	−0.204937	+	0.354961i
$939$	13.4122	+	7.74355i	0.437691	+	0.252701i
$940$	15.9514	−	1.81061i	0.520278	−	0.0590556i
$941$	−18.5705	+	18.5705i	−0.605382	+	0.605382i	−0.941736	−	0.336354i	$-0.890806\pi$
$941$	−18.5705	+	18.5705i	−0.605382	+	0.605382i	0.336354	+	0.941736i	$0.390806\pi$
$942$	30.6336	−	17.6863i	0.998098	−	0.576252i
$943$	−1.61564	+	0.932791i	−0.0526125	+	0.0303758i
$944$	7.34117	−	7.34117i	0.238935	−	0.238935i
$945$	−19.7258	+	24.7772i	−0.641679	+	0.806002i
$946$	−11.9552	−	6.90233i	−0.388697	−	0.224414i
$947$	4.48242	−	7.76379i	0.145659	−	0.252289i	−0.783959	−	0.620812i	$-0.786803\pi$
$947$	4.48242	−	7.76379i	0.145659	−	0.252289i	0.929619	+	0.368523i	$0.120136\pi$
$948$	−2.35064	+	2.35064i	−0.0763453	+	0.0763453i
$949$	15.4108	+	37.3880i	0.500256	+	1.21367i
$950$	−15.1047	−	0.540244i	−0.490060	−	0.0175278i
$951$	−2.71465	−	10.1312i	−0.0880287	−	0.328528i
$952$	2.94678	+	10.9975i	0.0955057	+	0.356432i
$953$	36.7363	+	9.84347i	1.19001	+	0.318861i	0.798888	−	0.601479i	$-0.205422\pi$
$953$	36.7363	+	9.84347i	1.19001	+	0.318861i	0.391118	+	0.920341i	$0.372088\pi$
$954$	9.78329	+	9.78329i	0.316746	+	0.316746i
$955$	1.36057	−	0.154436i	0.0440271	−	0.00499742i
$956$	4.71849	−	17.6096i	0.152607	−	0.569536i
$957$	−68.5264			−2.21514
$958$	6.87884	−	25.6722i	0.222245	−	0.829430i
$959$	−5.10915	+	8.84931i	−0.164983	+	0.285759i
$960$	0.904283	−	6.03326i	0.0291856	−	0.194723i
$961$		−	1.04031i		−	0.0335583i
$962$	−11.2383	+	14.5936i	−0.362336	+	0.470516i
$963$	−22.9393	−	22.9393i	−0.739208	−	0.739208i
$964$	−13.4274	+	3.59785i	−0.432466	+	0.115879i
$965$	40.5336	−	29.9668i	1.30482	−	0.964664i
$966$	33.0496	−	19.0812i	1.06335	−	0.613928i
$967$		−	33.0128i		−	1.06162i	−0.847491	−	0.530810i	$-0.821888\pi$
$967$		−	33.0128i		−	1.06162i	0.847491	−	0.530810i	$-0.178112\pi$
$968$	−6.04595	−	10.4719i	−0.194324	−	0.336579i
$969$	25.2218	+	6.75816i	0.810240	+	0.217103i
$970$	9.27944	−	21.3166i	0.297945	−	0.684436i
$971$	17.4084	+	30.1522i	0.558662	+	0.967631i	0.997608	+	0.0691180i	$0.0220185\pi$
$971$	17.4084	+	30.1522i	0.558662	+	0.967631i	−0.438946	+	0.898513i	$0.644648\pi$
$972$	18.2260	−	4.88364i	0.584599	−	0.156643i
$973$	49.9041	+	28.8121i	1.59985	+	0.923674i
$974$	17.3150			0.554810
$975$	48.4894	+	8.24287i	1.55290	+	0.263983i
$976$	−1.65234			−0.0528900
$977$	−19.7509	−	11.4032i	−0.631888	−	0.364821i	0.149595	−	0.988747i	$-0.452203\pi$
$977$	−19.7509	−	11.4032i	−0.631888	−	0.364821i	−0.781483	+	0.623927i	$0.785536\pi$
$978$	47.2962	−	12.6730i	1.51237	−	0.405237i
$979$	−24.5977	−	42.6044i	−0.786145	−	1.36164i
$980$	−5.29410	+	12.1616i	−0.169114	+	0.388487i
$981$	−0.299313	−	0.0802006i	−0.00955632	−	0.00256061i
$982$	−2.00937	−	3.48033i	−0.0641215	−	0.111062i
$983$			5.82429i			0.185766i	0.995677	+	0.0928831i	$0.0296083\pi$
$983$			5.82429i			0.185766i	−0.995677	+	0.0928831i	$0.970392\pi$
$984$	1.13324	−	0.654276i	0.0361263	−	0.0208575i
$985$	−22.2944	+	16.4824i	−0.710359	+	0.525174i
$986$	15.9846	−	4.28306i	0.509054	−	0.136401i
$987$	−49.8081	−	49.8081i	−1.58541	−	1.58541i
$988$	−8.65831	+	6.61996i	−0.275457	+	0.210609i
$989$		−	11.1741i		−	0.355314i
$990$	−7.07747	+	47.2200i	−0.224937	+	1.50075i
$991$	8.25583	−	14.2995i	0.262255	−	0.454239i	−0.704586	−	0.709619i	$-0.748867\pi$
$991$	8.25583	−	14.2995i	0.262255	−	0.454239i	0.966841	+	0.255380i	$0.0822005\pi$
$992$	−1.46502	+	5.46754i	−0.0465145	+	0.173595i
$993$	−38.3618			−1.21738
$994$	−8.98739	+	33.5414i	−0.285063	+	1.06387i
$995$	−11.5234	+	1.30800i	−0.365317	+	0.0414663i
$996$	20.9745	+	20.9745i	0.664601	+	0.664601i
$997$	−30.2008	−	8.09228i	−0.956469	−	0.256285i	−0.253364	−	0.967371i	$-0.581537\pi$
$997$	−30.2008	−	8.09228i	−0.956469	−	0.256285i	−0.703105	+	0.711086i	$0.748204\pi$
$998$	2.90395	+	10.8377i	0.0919229	+	0.343061i
$999$	5.20759	+	19.4350i	0.164761	+	0.614896i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	130.2.p.b.123.1	yes	16
5.2	odd	4		130.2.s.b.97.4	yes	16
5.3	odd	4		650.2.w.g.357.1		16
5.4	even	2		650.2.t.g.643.4		16
13.11	odd	12		130.2.s.b.63.4	yes	16
65.24	odd	12		650.2.w.g.193.1		16
65.37	even	12	inner	130.2.p.b.37.1	✓	16
65.63	even	12		650.2.t.g.557.4		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
130.2.p.b.37.1	✓	16	65.37	even	12	inner
130.2.p.b.123.1	yes	16	1.1	even	1	trivial
130.2.s.b.63.4	yes	16	13.11	odd	12
130.2.s.b.97.4	yes	16	5.2	odd	4
650.2.t.g.557.4		16	65.63	even	12
650.2.t.g.643.4		16	5.4	even	2
650.2.w.g.193.1		16	65.24	odd	12
650.2.w.g.357.1		16	5.3	odd	4

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:	\( N \)	\(=\)	\( 130 = 2 \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	130.p (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.866025 - 0.500000i) q^{2} +(-2.63533 + 0.706135i) q^{3} +(0.500000 + 0.866025i) q^{4} +(0.892496 - 2.05023i) q^{5} +(2.63533 + 0.706135i) q^{6} +(1.79804 + 3.11430i) q^{7} -1.00000i q^{8} +(3.84827 - 2.22180i) q^{9} +O(q^{10})\)	\(q+(-0.866025 - 0.500000i) q^{2} +(-2.63533 + 0.706135i) q^{3} +(0.500000 + 0.866025i) q^{4} +(0.892496 - 2.05023i) q^{5} +(2.63533 + 0.706135i) q^{6} +(1.79804 + 3.11430i) q^{7} -1.00000i q^{8} +(3.84827 - 2.22180i) q^{9} +(-1.79804 + 1.32930i) q^{10} +(4.64166 - 1.24373i) q^{11} +(-1.92920 - 1.92920i) q^{12} +(3.33348 - 1.37401i) q^{13} -3.59608i q^{14} +(-0.904283 + 6.03326i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-0.819442 + 3.05820i) q^{17} -4.44360 q^{18} +(-0.782374 + 2.91986i) q^{19} +(2.22180 - 0.252192i) q^{20} +(-6.93755 - 6.93755i) q^{21} +(-4.64166 - 1.24373i) q^{22} +(-1.00673 - 3.75715i) q^{23} +(0.706135 + 2.63533i) q^{24} +(-3.40690 - 3.65965i) q^{25} +(-3.57388 - 0.476810i) q^{26} +(-2.78499 + 2.78499i) q^{27} +(-1.79804 + 3.11430i) q^{28} +(4.52655 + 2.61340i) q^{29} +(3.79976 - 4.77282i) q^{30} +(-4.00252 + 4.00252i) q^{31} +(0.866025 - 0.500000i) q^{32} +(-11.3541 + 6.55528i) q^{33} +(2.23876 - 2.23876i) q^{34} +(7.98978 - 0.906901i) q^{35} +(3.84827 + 2.22180i) q^{36} +(2.55430 - 4.42418i) q^{37} +(2.13749 - 2.13749i) q^{38} +(-7.81459 + 5.97487i) q^{39} +(-2.05023 - 0.892496i) q^{40} +(-0.124135 - 0.463279i) q^{41} +(2.53932 + 9.47687i) q^{42} +(2.77485 + 0.743519i) q^{43} +(3.39793 + 3.39793i) q^{44} +(-1.12064 - 9.87280i) q^{45} +(-1.00673 + 3.75715i) q^{46} +7.17950 q^{47} +(0.706135 - 2.63533i) q^{48} +(-2.96590 + 5.13709i) q^{49} +(1.12064 + 4.87280i) q^{50} -8.63801i q^{51} +(2.85667 + 2.19987i) q^{52} +(-2.20166 - 2.20166i) q^{53} +(3.80437 - 1.01938i) q^{54} +(1.59273 - 10.6265i) q^{55} +(3.11430 - 1.79804i) q^{56} -8.24727i q^{57} +(-2.61340 - 4.52655i) q^{58} +(-10.0282 - 2.68705i) q^{59} +(-5.67710 + 2.23350i) q^{60} +(0.826168 + 1.43097i) q^{61} +(5.46754 - 1.46502i) q^{62} +(13.8387 + 7.98978i) q^{63} -1.00000 q^{64} +(0.158074 - 8.06071i) q^{65} +13.1106 q^{66} +(-3.02310 - 1.74539i) q^{67} +(-3.05820 + 0.819442i) q^{68} +(5.30612 + 9.19046i) q^{69} +(-7.37280 - 3.20949i) q^{70} +(-9.32721 - 2.49922i) q^{71} +(-2.22180 - 3.84827i) q^{72} +11.2159i q^{73} +(-4.42418 + 2.55430i) q^{74} +(11.5625 + 7.23866i) q^{75} +(-2.91986 + 0.782374i) q^{76} +(12.2192 + 12.2192i) q^{77} +(9.75507 - 1.26709i) q^{78} -1.21846i q^{79} +(1.32930 + 1.79804i) q^{80} +(-1.29260 + 2.23886i) q^{81} +(-0.124135 + 0.463279i) q^{82} -10.8721 q^{83} +(2.53932 - 9.47687i) q^{84} +(5.53867 + 4.40948i) q^{85} +(-2.03133 - 2.03133i) q^{86} +(-13.7744 - 3.69083i) q^{87} +(-1.24373 - 4.64166i) q^{88} +(-2.64966 - 9.88867i) q^{89} +(-3.96590 + 9.11041i) q^{90} +(10.2728 + 7.91092i) q^{91} +(2.75043 - 2.75043i) q^{92} +(7.72165 - 13.3743i) q^{93} +(-6.21763 - 3.58975i) q^{94} +(5.28813 + 4.21001i) q^{95} +(-1.92920 + 1.92920i) q^{96} +(-9.00422 + 5.19859i) q^{97} +(5.13709 - 2.96590i) q^{98} +(15.0991 - 15.0991i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q + 8 q^{4} - 2 q^{5}+O(q^{10}) \) 16 * q + 8 * q^4 - 2 * q^5	\( 16 q + 8 q^{4} - 2 q^{5} + 6 q^{11} + 2 q^{13} + 6 q^{15} - 8 q^{16} - 16 q^{17} - 16 q^{18} + 8 q^{20} - 6 q^{22} - 6 q^{23} - 14 q^{25} - 6 q^{26} - 12 q^{27} - 6 q^{29} + 6 q^{30} - 6 q^{33} - 14 q^{34} - 20 q^{37} + 6 q^{38} - 6 q^{39} - 44 q^{41} + 6 q^{42} + 6 q^{44} - 6 q^{46} + 52 q^{47} - 2 q^{49} + 10 q^{52} - 24 q^{53} + 6 q^{54} + 64 q^{55} + 6 q^{56} + 8 q^{58} - 46 q^{59} + 6 q^{61} + 12 q^{62} + 90 q^{63} - 16 q^{64} - 22 q^{65} + 52 q^{66} + 12 q^{67} - 2 q^{68} + 58 q^{69} - 32 q^{70} + 6 q^{71} - 8 q^{72} + 24 q^{74} + 44 q^{75} - 6 q^{76} + 58 q^{77} + 38 q^{78} + 10 q^{80} - 24 q^{81} - 44 q^{82} - 64 q^{83} + 6 q^{84} + 40 q^{85} - 44 q^{87} - 24 q^{89} - 18 q^{90} + 38 q^{91} - 26 q^{93} - 6 q^{95} - 6 q^{97} - 26 q^{99}+O(q^{100}) \) 16 * q + 8 * q^4 - 2 * q^5 + 6 * q^11 + 2 * q^13 + 6 * q^15 - 8 * q^16 - 16 * q^17 - 16 * q^18 + 8 * q^20 - 6 * q^22 - 6 * q^23 - 14 * q^25 - 6 * q^26 - 12 * q^27 - 6 * q^29 + 6 * q^30 - 6 * q^33 - 14 * q^34 - 20 * q^37 + 6 * q^38 - 6 * q^39 - 44 * q^41 + 6 * q^42 + 6 * q^44 - 6 * q^46 + 52 * q^47 - 2 * q^49 + 10 * q^52 - 24 * q^53 + 6 * q^54 + 64 * q^55 + 6 * q^56 + 8 * q^58 - 46 * q^59 + 6 * q^61 + 12 * q^62 + 90 * q^63 - 16 * q^64 - 22 * q^65 + 52 * q^66 + 12 * q^67 - 2 * q^68 + 58 * q^69 - 32 * q^70 + 6 * q^71 - 8 * q^72 + 24 * q^74 + 44 * q^75 - 6 * q^76 + 58 * q^77 + 38 * q^78 + 10 * q^80 - 24 * q^81 - 44 * q^82 - 64 * q^83 + 6 * q^84 + 40 * q^85 - 44 * q^87 - 24 * q^89 - 18 * q^90 + 38 * q^91 - 26 * q^93 - 6 * q^95 - 6 * q^97 - 26 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more