LMFDB - Embedded newform 322.2.k.a.83.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

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

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

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

chi := DirichletCharacter("322.83");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 322 = 2 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	322.k (of order $22$, degree $10$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.57118294509$
Analytic rank:	$0$
Dimension:	$80$
Relative dimension:	$8$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			83.3
Character	$\chi$	$=$	322.83
Dual form			322.2.k.a.97.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.959493 + 0.281733i) q^{2} +(-0.749737 + 0.649651i) q^{3} +(0.841254 - 0.540641i) q^{4} +(-0.540672 - 3.76045i) q^{5} +(0.536339 - 0.834560i) q^{6} +(-2.61856 - 0.378356i) q^{7} +(-0.654861 + 0.755750i) q^{8} +(-0.286885 + 1.99533i) q^{9} +O(q^{10})$	\(q+(-0.959493 + 0.281733i) q^{2} +(-0.749737 + 0.649651i) q^{3} +(0.841254 - 0.540641i) q^{4} +(-0.540672 - 3.76045i) q^{5} +(0.536339 - 0.834560i) q^{6} +(-2.61856 - 0.378356i) q^{7} +(-0.654861 + 0.755750i) q^{8} +(-0.286885 + 1.99533i) q^{9} +(1.57821 + 3.45580i) q^{10} +(-1.64274 + 5.59467i) q^{11} +(-0.279491 + 0.951859i) q^{12} +(0.519511 - 0.237253i) q^{13} +(2.61908 - 0.374703i) q^{14} +(2.84834 + 2.46810i) q^{15} +(0.415415 - 0.909632i) q^{16} +(5.39933 + 3.46994i) q^{17} +(-0.286885 - 1.99533i) q^{18} +(-5.54487 + 3.56347i) q^{19} +(-2.48790 - 2.87119i) q^{20} +(2.20903 - 1.41748i) q^{21} -5.83086i q^{22} +(2.13861 + 4.29259i) q^{23} -0.992044i q^{24} +(-9.05123 + 2.65768i) q^{25} +(-0.431625 + 0.374005i) q^{26} +(-2.69020 - 4.18603i) q^{27} +(-2.40743 + 1.09741i) q^{28} +(0.651180 + 0.418488i) q^{29} +(-3.42831 - 1.56566i) q^{30} +(-5.47959 - 4.74809i) q^{31} +(-0.142315 + 0.989821i) q^{32} +(-2.40296 - 5.26174i) q^{33} +(-6.15821 - 1.80821i) q^{34} +(-0.00700911 + 10.0515i) q^{35} +(0.837414 + 1.83368i) q^{36} +(-0.936384 - 0.134632i) q^{37} +(4.31632 - 4.98130i) q^{38} +(-0.235365 + 0.515378i) q^{39} +(3.19603 + 2.05396i) q^{40} +(-2.88712 + 0.415106i) q^{41} +(-1.72020 + 1.98242i) q^{42} +(1.26976 - 1.10026i) q^{43} +(1.64274 + 5.59467i) q^{44} +7.65846 q^{45} +(-3.26135 - 3.51619i) q^{46} -1.08354i q^{47} +(0.279491 + 0.951859i) q^{48} +(6.71369 + 1.98149i) q^{49} +(7.93583 - 5.10005i) q^{50} +(-6.30232 + 0.906137i) q^{51} +(0.308772 - 0.480458i) q^{52} +(-3.78510 - 1.72860i) q^{53} +(3.76057 + 3.25855i) q^{54} +(21.9267 + 3.15258i) q^{55} +(2.00073 - 1.73120i) q^{56} +(1.84218 - 6.27390i) q^{57} +(-0.742704 - 0.218078i) q^{58} +(-8.99370 + 4.10728i) q^{59} +(3.73054 + 0.536370i) q^{60} +(-4.78826 + 5.52594i) q^{61} +(6.59532 + 3.01198i) q^{62} +(1.50617 - 5.11634i) q^{63} +(-0.142315 - 0.989821i) q^{64} +(-1.17306 - 1.82532i) q^{65} +(3.78802 + 4.37161i) q^{66} +(-1.75843 - 5.98865i) q^{67} +6.41820 q^{68} +(-4.39208 - 1.82896i) q^{69} +(-2.82512 - 9.64635i) q^{70} +(9.07120 - 2.66355i) q^{71} +(-1.32010 - 1.52348i) q^{72} +(-2.13132 - 3.31639i) q^{73} +(0.936384 - 0.134632i) q^{74} +(5.05947 - 7.87269i) q^{75} +(-2.73808 + 5.99557i) q^{76} +(6.41840 - 14.0284i) q^{77} +(0.0806325 - 0.560811i) q^{78} +(-3.57898 + 1.63447i) q^{79} +(-3.64523 - 1.07034i) q^{80} +(-1.06618 - 0.313059i) q^{81} +(2.65323 - 1.21169i) q^{82} +(-1.38547 + 9.63617i) q^{83} +(1.09200 - 2.38675i) q^{84} +(10.1293 - 22.1800i) q^{85} +(-0.908352 + 1.41342i) q^{86} +(-0.760085 + 0.109284i) q^{87} +(-3.15240 - 4.90524i) q^{88} +(5.73933 + 6.62354i) q^{89} +(-7.34824 + 2.15764i) q^{90} +(-1.45014 + 0.424700i) q^{91} +(4.11987 + 2.45494i) q^{92} +7.19285 q^{93} +(0.305267 + 1.03964i) q^{94} +(16.3982 + 18.9246i) q^{95} +(-0.536339 - 0.834560i) q^{96} +(-0.176073 - 1.22462i) q^{97} +(-6.99999 - 0.00976244i) q^{98} +(-10.6919 - 4.88285i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 80 q - 8 q^{2} - 8 q^{4} - 11 q^{7} - 8 q^{8} - 6 q^{9}+O(q^{10}) $ 80 * q - 8 * q^2 - 8 * q^4 - 11 * q^7 - 8 * q^8 - 6 * q^9	$ 80 q - 8 q^{2} - 8 q^{4} - 11 q^{7} - 8 q^{8} - 6 q^{9} + 11 q^{14} - 8 q^{16} - 6 q^{18} - 33 q^{21} + 18 q^{23} - 58 q^{25} - 11 q^{28} + 16 q^{29} + 22 q^{30} - 8 q^{32} + 47 q^{35} + 16 q^{36} - 22 q^{37} - 30 q^{39} - 22 q^{42} + 44 q^{43} - 4 q^{46} + 17 q^{49} + 8 q^{50} - 88 q^{51} + 44 q^{53} + 11 q^{56} - 22 q^{57} - 28 q^{58} + 121 q^{63} - 8 q^{64} - 154 q^{65} + 58 q^{70} + 42 q^{71} - 28 q^{72} + 22 q^{74} + 38 q^{77} + 58 q^{78} - 88 q^{79} - 26 q^{81} - 11 q^{84} + 26 q^{85} - 132 q^{86} + 22 q^{88} - 4 q^{92} + 152 q^{93} - 68 q^{95} - 27 q^{98} - 44 q^{99}+O(q^{100}) $ 80 * q - 8 * q^2 - 8 * q^4 - 11 * q^7 - 8 * q^8 - 6 * q^9 + 11 * q^14 - 8 * q^16 - 6 * q^18 - 33 * q^21 + 18 * q^23 - 58 * q^25 - 11 * q^28 + 16 * q^29 + 22 * q^30 - 8 * q^32 + 47 * q^35 + 16 * q^36 - 22 * q^37 - 30 * q^39 - 22 * q^42 + 44 * q^43 - 4 * q^46 + 17 * q^49 + 8 * q^50 - 88 * q^51 + 44 * q^53 + 11 * q^56 - 22 * q^57 - 28 * q^58 + 121 * q^63 - 8 * q^64 - 154 * q^65 + 58 * q^70 + 42 * q^71 - 28 * q^72 + 22 * q^74 + 38 * q^77 + 58 * q^78 - 88 * q^79 - 26 * q^81 - 11 * q^84 + 26 * q^85 - 132 * q^86 + 22 * q^88 - 4 * q^92 + 152 * q^93 - 68 * q^95 - 27 * q^98 - 44 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$185$	$281$
$\chi(n)$	$-1$	$e\left(\frac{21}{22}\right)$

Coefficient data

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

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

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

$2$	−0.959493	+	0.281733i	−0.678464	+	0.199215i
$2$	−0.959493	+	0.281733i	−0.678464	+	0.199215i
$3$	−0.749737	+	0.649651i	−0.432861	+	0.375076i	−0.843863	−	0.536558i	$-0.819724\pi$
$3$	−0.749737	+	0.649651i	−0.432861	+	0.375076i	0.411003	+	0.911634i	$0.365179\pi$
$4$	0.841254	−	0.540641i	0.420627	−	0.270320i
$5$	−0.540672	−	3.76045i	−0.241796	−	1.68173i	−0.643101	−	0.765782i	$-0.722352\pi$
$5$	−0.540672	−	3.76045i	−0.241796	−	1.68173i	0.401305	−	0.915945i	$-0.368557\pi$
$6$	0.536339	−	0.834560i	0.218960	−	0.340708i
$7$	−2.61856	−	0.378356i	−0.989722	−	0.143005i
$7$	−2.61856	−	0.378356i	−0.989722	−	0.143005i
$8$	−0.654861	+	0.755750i	−0.231528	+	0.267198i
$9$	−0.286885	+	1.99533i	−0.0956284	+	0.665110i
$10$	1.57821	+	3.45580i	0.499075	+	1.09282i
$11$	−1.64274	+	5.59467i	−0.495306	+	1.68686i	0.209791	+	0.977746i	$0.432722\pi$
$11$	−1.64274	+	5.59467i	−0.495306	+	1.68686i	−0.705097	+	0.709111i	$0.749096\pi$
$12$	−0.279491	+	0.951859i	−0.0806821	+	0.274778i
$13$	0.519511	−	0.237253i	0.144086	−	0.0658021i	−0.342067	−	0.939676i	$-0.611127\pi$
$13$	0.519511	−	0.237253i	0.144086	−	0.0658021i	0.486153	+	0.873874i	$0.338400\pi$
$14$	2.61908	−	0.374703i	0.699979	−	0.100144i
$15$	2.84834	+	2.46810i	0.735439	+	0.637261i
$16$	0.415415	−	0.909632i	0.103854	−	0.227408i
$17$	5.39933	+	3.46994i	1.30953	+	0.841584i	0.994215	−	0.107404i	$-0.0342537\pi$
$17$	5.39933	+	3.46994i	1.30953	+	0.841584i	0.315314	+	0.948987i	$0.397890\pi$
$18$	−0.286885	−	1.99533i	−0.0676195	−	0.470304i
$19$	−5.54487	+	3.56347i	−1.27208	+	0.817517i	−0.989889	−	0.141841i	$-0.954698\pi$
$19$	−5.54487	+	3.56347i	−1.27208	+	0.817517i	−0.282192	+	0.959358i	$0.591061\pi$
$20$	−2.48790	−	2.87119i	−0.556311	−	0.642017i
$21$	2.20903	−	1.41748i	0.482049	−	0.309320i
$22$		−	5.83086i		−	1.24314i
$23$	2.13861	+	4.29259i	0.445932	+	0.895067i
$23$	2.13861	+	4.29259i	0.445932	+	0.895067i
$24$		−	0.992044i		−	0.202500i
$25$	−9.05123	+	2.65768i	−1.81025	+	0.531536i
$26$	−0.431625	+	0.374005i	−0.0846487	+	0.0733485i
$27$	−2.69020	−	4.18603i	−0.517729	−	0.805602i
$28$	−2.40743	+	1.09741i	−0.454961	+	0.207390i
$29$	0.651180	+	0.418488i	0.120921	+	0.0777113i	0.599703	−	0.800222i	$-0.295285\pi$
$29$	0.651180	+	0.418488i	0.120921	+	0.0777113i	−0.478782	+	0.877934i	$0.658922\pi$
$30$	−3.42831	−	1.56566i	−0.625921	−	0.285848i
$31$	−5.47959	−	4.74809i	−0.984163	−	0.852782i	0.00494283	−	0.999988i	$-0.498427\pi$
$31$	−5.47959	−	4.74809i	−0.984163	−	0.852782i	−0.989106	+	0.147206i	$0.952972\pi$
$32$	−0.142315	+	0.989821i	−0.0251579	+	0.174977i
$33$	−2.40296	−	5.26174i	−0.418301	−	0.915952i
$34$	−6.15821	−	1.80821i	−1.05612	−	0.310106i
$35$	−0.00700911	+	10.0515i	−0.00118476	+	1.69902i
$36$	0.837414	+	1.83368i	0.139569	+	0.305613i
$37$	−0.936384	−	0.134632i	−0.153941	−	0.0221333i	0.0649136	−	0.997891i	$-0.479323\pi$
$37$	−0.936384	−	0.134632i	−0.153941	−	0.0221333i	−0.218854	+	0.975758i	$0.570232\pi$
$38$	4.31632	−	4.98130i	0.700200	−	0.808073i
$39$	−0.235365	+	0.515378i	−0.0376886	+	0.0825265i
$40$	3.19603	+	2.05396i	0.505336	+	0.324760i
$41$	−2.88712	+	0.415106i	−0.450893	+	0.0648286i	−0.364021	−	0.931391i	$-0.618596\pi$
$41$	−2.88712	+	0.415106i	−0.450893	+	0.0648286i	−0.0868722	+	0.996219i	$0.527687\pi$
$42$	−1.72020	+	1.98242i	−0.265432	+	0.305894i
$43$	1.26976	−	1.10026i	0.193637	−	0.167788i	−0.552646	−	0.833416i	$-0.686382\pi$
$43$	1.26976	−	1.10026i	0.193637	−	0.167788i	0.746283	+	0.665628i	$0.231836\pi$
$44$	1.64274	+	5.59467i	0.247653	+	0.843429i
$45$	7.65846			1.14166
$46$	−3.26135	−	3.51619i	−0.480859	−	0.518435i
$47$		−	1.08354i		−	0.158050i	−0.996873	−	0.0790249i	$-0.974819\pi$
$47$		−	1.08354i		−	0.158050i	0.996873	−	0.0790249i	$-0.0251807\pi$
$48$	0.279491	+	0.951859i	0.0403411	+	0.137389i
$49$	6.71369	+	1.98149i	0.959099	+	0.283070i
$50$	7.93583	−	5.10005i	1.12230	−	0.721256i
$51$	−6.30232	+	0.906137i	−0.882502	+	0.126885i
$52$	0.308772	−	0.480458i	0.0428190	−	0.0666276i
$53$	−3.78510	−	1.72860i	−0.519924	−	0.237441i	0.138127	−	0.990414i	$-0.455892\pi$
$53$	−3.78510	−	1.72860i	−0.519924	−	0.237441i	−0.658051	+	0.752973i	$0.728619\pi$
$54$	3.76057	+	3.25855i	0.511748	+	0.443432i
$55$	21.9267	+	3.15258i	2.95660	+	0.425094i
$56$	2.00073	−	1.73120i	0.267359	−	0.231342i
$57$	1.84218	−	6.27390i	0.244003	−	0.830998i
$58$	−0.742704	−	0.218078i	−0.0975219	−	0.0286350i
$59$	−8.99370	+	4.10728i	−1.17088	+	0.534723i	−0.903382	−	0.428836i	$-0.858924\pi$
$59$	−8.99370	+	4.10728i	−1.17088	+	0.534723i	−0.267497	+	0.963559i	$0.586197\pi$
$60$	3.73054	+	0.536370i	0.481610	+	0.0692451i
$61$	−4.78826	+	5.52594i	−0.613074	+	0.707525i	−0.974376	−	0.224924i	$-0.927787\pi$
$61$	−4.78826	+	5.52594i	−0.613074	+	0.707525i	0.361303	+	0.932449i	$0.382332\pi$
$62$	6.59532	+	3.01198i	0.837606	+	0.382522i
$63$	1.50617	−	5.11634i	0.189760	−	0.644599i
$64$	−0.142315	−	0.989821i	−0.0177894	−	0.123728i
$65$	−1.17306	−	1.82532i	−0.145501	−	0.226403i
$66$	3.78802	+	4.37161i	0.466274	+	0.538108i
$67$	−1.75843	−	5.98865i	−0.214826	−	0.731630i	−0.994434	−	0.105362i	$-0.966400\pi$
$67$	−1.75843	−	5.98865i	−0.214826	−	0.731630i	0.779608	−	0.626268i	$-0.215418\pi$
$68$	6.41820			0.778321
$69$	−4.39208	−	1.82896i	−0.528744	−	0.220181i
$70$	−2.82512	−	9.64635i	−0.337666	−	1.15296i
$71$	9.07120	−	2.66355i	1.07655	−	0.316105i	0.305054	−	0.952335i	$-0.401325\pi$
$71$	9.07120	−	2.66355i	1.07655	−	0.316105i	0.771499	+	0.636230i	$0.219507\pi$
$72$	−1.32010	−	1.52348i	−0.155575	−	0.179543i
$73$	−2.13132	−	3.31639i	−0.249452	−	0.388154i	0.693835	−	0.720134i	$-0.255920\pi$
$73$	−2.13132	−	3.31639i	−0.249452	−	0.388154i	−0.943286	+	0.331980i	$0.892283\pi$
$74$	0.936384	−	0.134632i	0.108852	−	0.0156506i
$75$	5.05947	−	7.87269i	0.584218	−	0.909060i
$76$	−2.73808	+	5.99557i	−0.314080	+	0.687739i
$77$	6.41840	−	14.0284i	0.731444	−	1.59869i
$78$	0.0806325	−	0.560811i	0.00912983	−	0.0634994i
$79$	−3.57898	+	1.63447i	−0.402667	+	0.183892i	−0.606445	−	0.795125i	$-0.707405\pi$
$79$	−3.57898	+	1.63447i	−0.402667	+	0.183892i	0.203778	+	0.979017i	$0.434678\pi$
$80$	−3.64523	−	1.07034i	−0.407549	−	0.119667i
$81$	−1.06618	−	0.313059i	−0.118465	−	0.0347844i
$82$	2.65323	−	1.21169i	0.293000	−	0.133809i
$83$	−1.38547	+	9.63617i	−0.152075	+	1.05771i	0.760659	+	0.649152i	$0.224876\pi$
$83$	−1.38547	+	9.63617i	−0.152075	+	1.05771i	−0.912734	+	0.408555i	$0.866033\pi$
$84$	1.09200	−	2.38675i	0.119148	−	0.260416i
$85$	10.1293	−	22.1800i	1.09867	−	2.40576i
$86$	−0.908352	+	1.41342i	−0.0979501	+	0.152413i
$87$	−0.760085	+	0.109284i	−0.0814896	+	0.0117164i
$88$	−3.15240	−	4.90524i	−0.336047	−	0.522900i
$89$	5.73933	+	6.62354i	0.608368	+	0.702094i	0.973455	−	0.228880i	$-0.0735063\pi$
$89$	5.73933	+	6.62354i	0.608368	+	0.702094i	−0.365087	+	0.930973i	$0.618961\pi$
$90$	−7.34824	+	2.15764i	−0.774572	+	0.227435i
$91$	−1.45014	+	0.424700i	−0.152015	+	0.0445207i
$92$	4.11987	+	2.45494i	0.429526	+	0.255945i
$93$	7.19285			0.745864
$94$	0.305267	+	1.03964i	0.0314859	+	0.107231i
$95$	16.3982	+	18.9246i	1.68242	+	1.94162i
$96$	−0.536339	−	0.834560i	−0.0547399	−	0.0851770i
$97$	−0.176073	−	1.22462i	−0.0178775	−	0.124341i	0.978928	−	0.204204i	$-0.0654607\pi$
$97$	−0.176073	−	1.22462i	−0.0178775	−	0.124341i	−0.996806	+	0.0798634i	$0.974552\pi$
$98$	−6.99999	−	0.00976244i	−0.707106	−	0.000986155i
$99$	−10.6919	−	4.88285i	−1.07458	−	0.490745i
$100$	−6.17753	+	7.12924i	−0.617753	+	0.712924i
$101$	−9.20282	−	1.32317i	−0.915715	−	0.131660i	−0.331683	−	0.943391i	$-0.607617\pi$
$101$	−9.20282	−	1.32317i	−0.915715	−	0.131660i	−0.584032	+	0.811731i	$0.698526\pi$
$102$	5.79175	−	2.64500i	0.573468	−	0.261894i
$103$	−0.244140	−	0.0716859i	−0.0240558	−	0.00706342i	0.269683	−	0.962949i	$-0.413081\pi$
$103$	−0.244140	−	0.0716859i	−0.0240558	−	0.00706342i	−0.293738	+	0.955886i	$0.594899\pi$
$104$	−0.160904	+	0.547988i	−0.0157779	+	0.0537346i
$105$	−6.52473	−	7.54056i	−0.636748	−	0.735883i
$106$	4.11878	+	0.592191i	0.400051	+	0.0575187i
$107$	−3.52608	−	3.05537i	−0.340879	−	0.295374i	0.467550	−	0.883966i	$-0.345137\pi$
$107$	−3.52608	−	3.05537i	−0.340879	−	0.295374i	−0.808430	+	0.588593i	$0.799682\pi$
$108$	−4.52628	−	2.06708i	−0.435541	−	0.198905i
$109$	−7.11987	+	11.0787i	−0.681959	+	1.06115i	0.311859	+	0.950129i	$0.399048\pi$
$109$	−7.11987	+	11.0787i	−0.681959	+	1.06115i	−0.993818	+	0.111021i	$0.964588\pi$
$110$	−21.9267	+	3.15258i	−2.09063	+	0.300587i
$111$	0.789505	−	0.507384i	0.0749365	−	0.0481588i
$112$	−1.43195	+	2.22475i	−0.135307	+	0.210219i
$113$	2.45831	+	8.37225i	0.231259	+	0.787595i	0.990587	+	0.136887i	$0.0437097\pi$
$113$	2.45831	+	8.37225i	0.231259	+	0.787595i	−0.759328	+	0.650708i	$0.774472\pi$
$114$			6.53876i			0.612411i
$115$	14.9858	−	10.3630i	1.39743	−	0.966358i
$116$	0.774059			0.0718696
$117$	0.324358	+	1.10466i	0.0299869	+	0.102126i
$118$	7.47223	−	6.47473i	0.687875	−	0.596047i
$119$	−12.8256	−	11.1291i	−1.17572	−	1.02020i
$120$	−3.73054	+	0.536370i	−0.340550	+	0.0489637i
$121$	−19.3480	−	12.4342i	−1.75891	−	1.13038i
$122$	3.03746	−	6.65111i	0.274999	−	0.602163i
$123$	1.89491	−	2.18684i	0.170858	−	0.197181i
$124$	−7.17673	−	1.03186i	−0.644490	−	0.0926636i
$125$	6.99676	+	15.3208i	0.625809	+	1.37033i
$126$	−0.00371910	+	5.33343i	−0.000331323	+	0.475140i
$127$	15.9487	+	4.68295i	1.41522	+	0.415545i	0.897881	−	0.440238i	$-0.145106\pi$
$127$	15.9487	+	4.68295i	1.41522	+	0.415545i	0.517335	+	0.855783i	$0.326924\pi$
$128$	0.415415	+	0.909632i	0.0367178	+	0.0804009i
$129$	−0.237206	+	1.64981i	−0.0208849	+	0.145257i
$130$	1.63980	+	1.42089i	0.143820	+	0.124621i
$131$	19.1014	+	8.72332i	1.66890	+	0.762160i	0.999820	+	0.0189678i	$0.00603799\pi$
$131$	19.1014	+	8.72332i	1.66890	+	0.762160i	0.669078	+	0.743192i	$0.266689\pi$
$132$	−4.86621	−	3.12732i	−0.423549	−	0.272198i
$133$	15.8678	−	7.23323i	1.37592	−	0.627200i
$134$	3.37439	+	5.25066i	0.291503	+	0.453588i
$135$	−14.2869	+	12.3796i	−1.22962	+	1.06547i
$136$	−6.15821	+	1.80821i	−0.528062	+	0.155053i
$137$		−	10.9514i		−	0.935642i	−0.883823	−	0.467821i	$-0.845039\pi$
$137$		−	10.9514i		−	0.935642i	0.883823	−	0.467821i	$-0.154961\pi$
$138$	4.72945	+	0.517484i	0.402597	+	0.0440512i
$139$		−	5.48475i		−	0.465211i	−0.972571	−	0.232605i	$-0.925275\pi$
$139$		−	5.48475i		−	0.465211i	0.972571	−	0.232605i	$-0.0747251\pi$
$140$	5.42837	+	8.45968i	0.458781	+	0.714973i
$141$	0.703919	+	0.812366i	0.0592807	+	0.0684136i
$142$	−7.95335	+	5.11131i	−0.667430	+	0.428931i
$143$	0.473928	+	3.29624i	0.0396318	+	0.275645i
$144$	1.69584	+	1.08985i	0.141320	+	0.0908209i
$145$	1.22163	−	2.67500i	0.101451	−	0.222146i
$146$	2.97932	+	2.58159i	0.246570	+	0.213654i
$147$	−6.32078	+	2.87596i	−0.521329	+	0.237205i
$148$	−0.860524	+	0.392988i	−0.0707346	+	0.0323034i
$149$	−2.92491	+	9.96133i	−0.239618	+	0.816064i	0.748601	+	0.663020i	$0.230726\pi$
$149$	−2.92491	+	9.96133i	−0.239618	+	0.816064i	−0.988219	+	0.153044i	$0.951092\pi$
$150$	−2.63653	+	8.97921i	−0.215272	+	0.733150i
$151$	−1.79767	−	3.93635i	−0.146293	−	0.320336i	0.822274	−	0.569092i	$-0.192705\pi$
$151$	−1.79767	−	3.93635i	−0.146293	−	0.320336i	−0.968566	+	0.248757i	$0.919978\pi$
$152$	0.938026	−	6.52411i	0.0760840	−	0.529176i
$153$	−8.47266	+	9.77797i	−0.684974	+	0.790502i
$154$	−2.20614	+	15.2685i	−0.177776	+	1.23037i
$155$	−14.8923	+	23.1729i	−1.19618	+	1.86129i
$156$	0.0806325	+	0.560811i	0.00645576	+	0.0449008i
$157$	−6.74262	+	4.33322i	−0.538120	+	0.345828i	−0.781303	−	0.624152i	$-0.785445\pi$
$157$	−6.74262	+	4.33322i	−0.538120	+	0.345828i	0.243183	+	0.969980i	$0.421808\pi$
$158$	2.97353	−	2.57658i	0.236561	−	0.204981i
$159$	3.96081	−	1.16300i	0.314113	−	0.0922319i
$160$	3.79912			0.300347
$161$	−3.97595	−	12.0496i	−0.313349	−	0.949638i
$162$	1.11119			0.0873036
$163$	17.3401	−	5.09151i	1.35818	−	0.398798i	0.480060	−	0.877235i	$-0.340615\pi$
$163$	17.3401	−	5.09151i	1.35818	−	0.398798i	0.878122	+	0.478437i	$0.158797\pi$
$164$	−2.20438	+	1.91011i	−0.172133	+	0.149154i
$165$	−18.4873	+	11.8811i	−1.43924	+	0.924941i
$166$	−1.38547	−	9.63617i	−0.107533	−	0.747912i
$167$	1.29283	−	2.01169i	0.100042	−	0.155669i	−0.787624	−	0.616156i	$-0.788689\pi$
$167$	1.29283	−	2.01169i	0.100042	−	0.155669i	0.887666	+	0.460487i	$0.152325\pi$
$168$	−0.375345	+	2.59772i	−0.0289585	+	0.200419i
$169$	−8.29959	+	9.57823i	−0.638430	+	0.736787i
$170$	−3.47014	+	24.1353i	−0.266147	+	1.85110i
$171$	−5.51957	−	12.0862i	−0.422092	−	0.924252i
$172$	0.473350	−	1.61208i	0.0360926	−	0.122920i
$173$	6.07077	−	20.6751i	0.461552	−	1.57190i	−0.319594	−	0.947555i	$-0.603547\pi$
$173$	6.07077	−	20.6751i	0.461552	−	1.57190i	0.781146	−	0.624348i	$-0.214635\pi$
$174$	0.698507	−	0.318998i	0.0529537	−	0.0241831i
$175$	24.7067	−	3.53471i	1.86765	−	0.267199i
$176$	4.40667	+	3.81840i	0.332165	+	0.287823i
$177$	4.07461	−	8.92214i	0.306266	−	0.670629i
$178$	−7.37291	−	4.73828i	−0.552623	−	0.355149i
$179$	0.150185	+	1.04456i	0.0112253	+	0.0780739i	0.994664	−	0.103167i	$-0.0328977\pi$
$179$	0.150185	+	1.04456i	0.0112253	+	0.0780739i	−0.983439	+	0.181241i	$0.941989\pi$
$180$	6.44271	−	4.14048i	0.480211	−	0.308613i
$181$	−14.9567	−	17.2609i	−1.11172	−	1.28300i	−0.955408	−	0.295288i	$-0.904584\pi$
$181$	−14.9567	−	17.2609i	−1.11172	−	1.28300i	−0.156314	−	0.987707i	$-0.549961\pi$
$182$	1.27174	−	0.816047i	0.0942679	−	0.0604894i
$183$		−	7.25370i		−	0.536209i
$184$	−4.64462	−	1.19479i	−0.342406	−	0.0880814i
$185$			3.59402i			0.264238i
$186$	−6.90149	+	2.02646i	−0.506042	+	0.148587i
$187$	−28.2829	+	24.5073i	−2.06825	+	1.79215i
$188$	−0.585803	−	0.911528i	−0.0427241	−	0.0664800i
$189$	5.46063	+	11.9792i	0.397202	+	0.871359i
$190$	−21.0657	−	13.5381i	−1.52826	−	0.982155i
$191$	−1.10831	−	0.506148i	−0.0801945	−	0.0366236i	0.374914	−	0.927060i	$-0.377672\pi$
$191$	−1.10831	−	0.506148i	−0.0801945	−	0.0366236i	−0.455108	+	0.890436i	$0.650400\pi$
$192$	0.749737	+	0.649651i	0.0541076	+	0.0468845i
$193$	−0.797611	+	5.54751i	−0.0574133	+	0.399318i	0.940769	+	0.339049i	$0.110105\pi$
$193$	−0.797611	+	5.54751i	−0.0574133	+	0.399318i	−0.998182	+	0.0602696i	$0.980804\pi$
$194$	0.513955	+	1.12541i	0.0368999	+	0.0807994i
$195$	2.06531	+	0.606429i	0.147900	+	0.0434273i
$196$	6.71919	−	1.96276i	0.479942	−	0.140197i
$197$	−3.19112	−	6.98757i	−0.227358	−	0.497844i	0.761231	−	0.648480i	$-0.224595\pi$
$197$	−3.19112	−	6.98757i	−0.227358	−	0.497844i	−0.988589	+	0.150636i	$0.951868\pi$
$198$	11.6345	+	1.67279i	0.826828	+	0.118880i
$199$	−11.0064	+	12.7020i	−0.780220	+	0.900422i	−0.997125	−	0.0757703i	$-0.975858\pi$
$199$	−11.0064	+	12.7020i	−0.780220	+	0.900422i	0.216905	+	0.976193i	$0.430404\pi$
$200$	3.91875	−	8.58087i	0.277098	−	0.606759i
$201$	5.20889	+	3.34755i	0.367406	+	0.236118i
$202$	9.20282	−	1.32317i	0.647508	−	0.0930976i
$203$	−1.54682	−	1.34221i	−0.108565	−	0.0942049i
$204$	−4.81196	+	4.16958i	−0.336904	+	0.291929i
$205$	3.12197	+	10.6325i	0.218048	+	0.742603i
$206$	0.254447			0.0177281
$207$	−9.17867	+	3.03576i	−0.637962	+	0.211000i
$208$		−	0.571122i		−	0.0396002i
$209$	−10.8277	−	36.8756i	−0.748965	−	2.55074i
$210$	8.38485	+	5.39688i	0.578610	+	0.372420i
$211$	7.98726	−	5.13310i	0.549866	−	0.353377i	−0.236021	−	0.971748i	$-0.575843\pi$
$211$	7.98726	−	5.13310i	0.549866	−	0.353377i	0.785887	+	0.618371i	$0.212207\pi$
$212$	−4.11878	+	0.592191i	−0.282879	+	0.0406719i
$213$	−5.07064	+	7.89007i	−0.347435	+	0.540619i
$214$	4.24405	+	1.93819i	0.290117	+	0.132492i
$215$	−4.82399	−	4.18001i	−0.328994	−	0.285075i
$216$	4.92529	+	0.708150i	0.335124	+	0.0481835i
$217$	12.5522	+	14.5064i	0.852096	+	0.984758i
$218$	3.71022	−	12.6359i	0.251288	−	0.855808i
$219$	3.75242	+	1.10181i	0.253565	+	0.0744535i
$220$	20.1503	−	9.20235i	1.35853	−	0.620422i
$221$	3.62826	+	0.521665i	0.244063	+	0.0350910i
$222$	−0.614578	+	0.709261i	−0.0412478	+	0.0476025i
$223$	−10.7340	−	4.90207i	−0.718804	−	0.328267i	0.0222131	−	0.999753i	$-0.492929\pi$
$223$	−10.7340	−	4.90207i	−0.718804	−	0.328267i	−0.741017	+	0.671487i	$0.765656\pi$
$224$	0.747164	−	2.53806i	0.0499220	−	0.169581i
$225$	−2.70629	−	18.8226i	−0.180419	−	1.25484i
$226$	−4.71747	−	7.34053i	−0.313802	−	0.488285i
$227$	−3.18519	−	3.67590i	−0.211408	−	0.243978i	0.640135	−	0.768262i	$-0.278878\pi$
$227$	−3.18519	−	3.67590i	−0.211408	−	0.243978i	−0.851543	+	0.524284i	$0.824333\pi$
$228$	−1.84218	−	6.27390i	−0.122002	−	0.415499i
$229$	1.61125			0.106474			0.0532372	−	0.998582i	$-0.483046\pi$
$229$	1.61125			0.106474			0.0532372	+	0.998582i	$0.483046\pi$
$230$	−11.4592	+	14.1652i	−0.755595	+	0.934029i
$231$	4.30147	+	14.6874i	0.283016	+	0.966357i
$232$	−0.742704	+	0.218078i	−0.0487609	+	0.0143175i
$233$	8.04628	+	9.28591i	0.527130	+	0.608340i	0.955402	−	0.295310i	$-0.0954229\pi$
$233$	8.04628	+	9.28591i	0.527130	+	0.608340i	−0.428272	+	0.903650i	$0.640877\pi$
$234$	−0.622437	−	0.968532i	−0.0406900	−	0.0633149i
$235$	−4.07458	+	0.585837i	−0.265797	+	0.0382158i
$236$	−5.34541	+	8.31763i	−0.347957	+	0.541431i
$237$	1.62146	−	3.55051i	0.105325	−	0.230630i
$238$	15.4415	+	7.06491i	1.00092	+	0.457950i
$239$	−0.845376	+	5.87972i	−0.0546828	+	0.380327i	0.944041	+	0.329827i	$0.106991\pi$
$239$	−0.845376	+	5.87972i	−0.0546828	+	0.380327i	−0.998724	+	0.0504999i	$0.983919\pi$
$240$	3.42831	−	1.56566i	0.221296	−	0.101063i
$241$	25.9258	+	7.61250i	1.67003	+	0.490364i	0.973790	−	0.227447i	$-0.0730379\pi$
$241$	25.9258	+	7.61250i	1.67003	+	0.490364i	0.696237	+	0.717812i	$0.254856\pi$
$242$	22.0674	+	6.47956i	1.41854	+	0.416522i
$243$	14.5816	−	6.65918i	0.935408	−	0.427186i
$244$	−1.04059	+	7.23745i	−0.0666168	+	0.463330i
$245$	3.82141	−	26.3179i	0.244141	−	1.68139i
$246$	−1.20205	+	2.63212i	−0.0766397	+	0.167818i
$247$	−2.03518	+	3.16680i	−0.129495	+	0.201499i
$248$	7.17673	−	1.03186i	0.455723	−	0.0655231i
$249$	−5.22140	−	8.12466i	−0.330893	−	0.514880i
$250$	−11.0297	−	12.7290i	−0.697579	−	0.805049i
$251$	−1.79068	+	0.525792i	−0.113027	+	0.0331877i	−0.337757	−	0.941233i	$-0.609668\pi$
$251$	−1.79068	+	0.525792i	−0.113027	+	0.0331877i	0.224730	+	0.974421i	$0.427850\pi$
$252$	−1.49903	−	5.11844i	−0.0944302	−	0.322431i
$253$	−27.5288	+	4.91321i	−1.73072	+	0.308891i
$254$	−16.6220			−1.04296
$255$	6.81498	+	23.2097i	0.426770	+	1.45345i
$256$	−0.654861	−	0.755750i	−0.0409288	−	0.0472343i
$257$	13.4757	+	20.9686i	0.840592	+	1.30799i	0.949447	+	0.313929i	$0.101645\pi$
$257$	13.4757	+	20.9686i	0.840592	+	1.30799i	−0.108855	+	0.994058i	$0.534718\pi$
$258$	−0.237206	−	1.64981i	−0.0147678	−	0.102712i
$259$	2.40104	+	0.706827i	0.149193	+	0.0439201i
$260$	−1.97369	−	0.901352i	−0.122403	−	0.0558995i
$261$	−1.02184	+	1.17926i	−0.0632501	+	0.0729945i
$262$	−20.7853	−	2.98848i	−1.28412	−	0.184629i
$263$	0.668651	−	0.305362i	0.0412308	−	0.0188295i	−0.394693	−	0.918813i	$-0.629149\pi$
$263$	0.668651	−	0.305362i	0.0412308	−	0.0188295i	0.435924	+	0.899984i	$0.356422\pi$
$264$	5.55016	+	1.62967i	0.341589	+	0.100300i
$265$	−4.45382	+	15.1683i	−0.273596	+	0.931781i
$266$	−13.1872	+	11.4107i	−0.808561	+	0.699636i
$267$	−8.60597	−	1.23735i	−0.526677	−	0.0757247i
$268$	−4.71699	−	4.08729i	−0.288136	−	0.249671i
$269$	−5.43442	−	2.48182i	−0.331342	−	0.151319i	0.242796	−	0.970077i	$-0.421936\pi$
$269$	−5.43442	−	2.48182i	−0.331342	−	0.151319i	−0.574138	+	0.818758i	$0.694663\pi$
$270$	10.2204	−	15.9032i	0.621993	−	0.967841i
$271$	−2.98517	+	0.429202i	−0.181336	+	0.0260722i	−0.232385	−	0.972624i	$-0.574653\pi$
$271$	−2.98517	+	0.429202i	−0.181336	+	0.0260722i	0.0510485	+	0.998696i	$0.483744\pi$
$272$	5.39933	−	3.46994i	0.327382	−	0.210396i
$273$	0.811313	−	1.26049i	0.0491029	−	0.0762886i
$274$	3.08537	+	10.5078i	0.186394	+	0.634799i
$275$		−	55.0045i		−	3.31690i
$276$	−4.68366	+	0.835917i	−0.281923	+	0.0503163i
$277$	20.9831			1.26075			0.630377	−	0.776289i	$-0.282900\pi$
$277$	20.9831			1.26075			0.630377	+	0.776289i	$0.282900\pi$
$278$	1.54523	+	5.26258i	0.0926770	+	0.315629i
$279$	11.0460	−	9.57143i	0.661308	−	0.573027i
$280$	−7.59185	−	6.58765i	−0.453700	−	0.393688i
$281$	25.8041	−	3.71006i	1.53934	−	0.221324i	0.680186	−	0.733039i	$-0.261899\pi$
$281$	25.8041	−	3.71006i	1.53934	−	0.221324i	0.859155	+	0.511716i	$0.170990\pi$
$282$	−0.904276	−	0.581143i	−0.0538488	−	0.0346065i
$283$	6.52483	−	14.2874i	0.387861	−	0.849297i	−0.610498	−	0.792018i	$-0.709030\pi$
$283$	6.52483	−	14.2874i	0.387861	−	0.849297i	0.998358	−	0.0572784i	$-0.0182423\pi$
$284$	6.19116	−	7.14498i	0.367378	−	0.423977i
$285$	−24.5887	−	3.53532i	−1.45651	−	0.209415i
$286$	−1.38339	−	3.02920i	−0.0818015	−	0.179120i
$287$	7.71716	+	0.00538131i	0.455529	+	0.000317649i
$288$	−1.93419	−	0.567930i	−0.113973	−	0.0334656i
$289$	10.0502	+	22.0069i	0.591190	+	1.29453i
$290$	−0.418512	+	2.91081i	−0.0245759	+	0.170929i
$291$	0.927581	+	0.803754i	0.0543758	+	0.0471169i
$292$	−3.58595	−	1.63765i	−0.209852	−	0.0958362i
$293$	−11.4731	−	7.37332i	−0.670267	−	0.430754i	0.160755	−	0.986994i	$-0.448607\pi$
$293$	−11.4731	−	7.37332i	−0.670267	−	0.430754i	−0.831022	+	0.556240i	$0.812243\pi$
$294$	5.25449	−	4.54023i	0.306448	−	0.264792i
$295$	20.3079	+	31.5997i	1.18237	+	1.83981i
$296$	0.714949	−	0.619507i	0.0415556	−	0.0360081i
$297$	27.8388	−	8.17420i	1.61537	−	0.474315i
$298$		−	10.3819i		−	0.601406i
$299$	2.12946	+	1.72266i	0.123150	+	0.0996238i
$300$		−	9.35829i		−	0.540301i
$301$	−3.74124	+	2.40066i	−0.215642	+	0.138372i
$302$	2.83385	+	3.27044i	0.163070	+	0.188193i
$303$	7.75929	−	4.98659i	0.445760	−	0.286472i
$304$	0.938026	+	6.52411i	0.0537995	+	0.374184i
$305$	23.3689	+	15.0183i	1.33810	+	0.859946i
$306$	5.37469	−	11.7689i	0.307250	−	0.672784i
$307$	6.19928	+	5.37171i	0.353812	+	0.306579i	0.813573	−	0.581463i	$-0.197520\pi$
$307$	6.19928	+	5.37171i	0.353812	+	0.306579i	−0.459761	+	0.888043i	$0.652065\pi$
$308$	−2.18484	−	15.2715i	−0.124493	−	0.870176i
$309$	0.229611	−	0.104860i	0.0130621	−	0.00596528i
$310$	7.76051	−	26.4299i	0.440768	−	1.50112i
$311$	4.61428	−	15.7148i	0.261652	−	0.891104i	−0.718945	−	0.695067i	$-0.755375\pi$
$311$	4.61428	−	15.7148i	0.261652	−	0.891104i	0.980597	−	0.196037i	$-0.0628072\pi$
$312$	−0.235365	−	0.515378i	−0.0133249	−	0.0291775i
$313$	−3.31457	+	23.0533i	−0.187351	+	1.30305i	0.651483	+	0.758664i	$0.274147\pi$
$313$	−3.31457	+	23.0533i	−0.187351	+	1.30305i	−0.838833	+	0.544388i	$0.816762\pi$
$314$	5.24869	−	6.05731i	0.296201	−	0.341834i
$315$	−20.0541	−	2.89762i	−1.12992	−	0.163263i
$316$	−2.12717	+	3.30995i	−0.119663	+	0.186199i
$317$	−1.08894	−	7.57372i	−0.0611608	−	0.425383i	−0.997280	−	0.0737008i	$-0.976519\pi$
$317$	−1.08894	−	7.57372i	−0.0611608	−	0.425383i	0.936120	−	0.351682i	$-0.114390\pi$
$318$	−3.47272	+	2.23178i	−0.194740	+	0.125152i
$319$	−3.41103	+	2.95567i	−0.190981	+	0.165486i
$320$	−3.64523	+	1.07034i	−0.203775	+	0.0598337i
$321$	4.62856			0.258341
$322$	7.20965	+	10.4413i	0.401778	+	0.581871i
$323$	−42.3036			−2.35384
$324$	−1.06618	+	0.313059i	−0.0592324	+	0.0173922i
$325$	−4.07167	+	3.52812i	−0.225856	+	0.195705i
$326$	−15.2033	+	9.77055i	−0.842031	+	0.541140i
$327$	−1.85928	−	12.9316i	−0.102818	−	0.715117i
$328$	1.57695	−	2.45378i	0.0870724	−	0.135487i
$329$	−0.409962	+	2.83730i	−0.0226019	+	0.156425i
$330$	14.3912	−	16.6083i	0.792208	−	0.914257i
$331$	3.89365	−	27.0809i	0.214014	−	1.48850i	−0.545554	−	0.838075i	$-0.683681\pi$
$331$	3.89365	−	27.0809i	0.214014	−	1.48850i	0.759569	−	0.650427i	$-0.225410\pi$
$332$	4.04417	+	8.85550i	0.221953	+	0.486009i
$333$	0.537269	−	1.82977i	0.0294422	−	0.100271i
$334$	−0.673707	+	2.29443i	−0.0368636	+	0.125546i
$335$	−21.5693	+	9.85037i	−1.17846	+	0.538183i
$336$	−0.371722	−	2.59825i	−0.0202791	−	0.141746i
$337$	1.33812	+	1.15949i	0.0728921	+	0.0631614i	0.690545	−	0.723290i	$-0.257371\pi$
$337$	1.33812	+	1.15949i	0.0728921	+	0.0631614i	−0.617653	+	0.786451i	$0.711916\pi$
$338$	5.26489	−	11.5285i	0.286373	−	0.627068i
$339$	−7.28213	−	4.67994i	−0.395511	−	0.254179i
$340$	−3.47014	−	24.1353i	−0.188195	−	1.30892i
$341$	35.5656	−	22.8566i	1.92598	−	1.23775i
$342$	8.70105	+	10.0415i	0.470499	+	0.542985i
$343$	−16.8305	−	7.72882i	−0.908761	−	0.417317i
$344$			1.68014i			0.0905870i
$345$	−4.50306	+	17.5051i	−0.242436	+	0.942442i
$346$			21.5480i			1.15843i
$347$	−27.2587	+	8.00388i	−1.46332	+	0.429671i	−0.913923	−	0.405888i	$-0.866962\pi$
$347$	−27.2587	+	8.00388i	−1.46332	+	0.429671i	−0.549401	+	0.835559i	$0.685144\pi$
$348$	−0.580341	+	0.502868i	−0.0311095	+	0.0269566i
$349$	10.4042	+	16.1893i	0.556926	+	0.866593i	0.999546	−	0.0301158i	$-0.00958760\pi$
$349$	10.4042	+	16.1893i	0.556926	+	0.866593i	−0.442621	+	0.896709i	$0.645951\pi$
$350$	−22.7101	+	10.3522i	−1.21390	+	0.553349i
$351$	−2.39073	−	1.53643i	−0.127608	−	0.0820086i
$352$	−5.30394	−	2.42223i	−0.282701	−	0.129105i
$353$	7.72950	+	6.69765i	0.411400	+	0.356480i	0.835837	−	0.548977i	$-0.184983\pi$
$353$	7.72950	+	6.69765i	0.411400	+	0.356480i	−0.424437	+	0.905457i	$0.639528\pi$
$354$	−1.39590	+	9.70868i	−0.0741911	+	0.516011i
$355$	−14.9207	−	32.6717i	−0.791908	−	1.73404i
$356$	8.40918	+	2.46916i	0.445686	+	0.130865i
$357$	16.8458	+	0.0117469i	0.891577	+	0.000621712i
$358$	−0.438387	−	0.959933i	−0.0231695	−	0.0507340i
$359$	14.4707	+	2.08058i	0.763737	+	0.109809i	0.513166	−	0.858290i	$-0.328473\pi$
$359$	14.4707	+	2.08058i	0.763737	+	0.109809i	0.250571	+	0.968098i	$0.419382\pi$
$360$	−5.01522	+	5.78788i	−0.264326	+	0.305048i
$361$	10.1544	−	22.2350i	0.534441	−	1.17026i
$362$	19.2138	+	12.3480i	1.00986	+	0.648995i
$363$	22.5838	−	3.24705i	1.18534	−	0.170426i
$364$	−0.990321	+	1.14128i	−0.0519069	+	0.0598195i
$365$	−11.3188	+	9.80779i	−0.592453	+	0.513363i
$366$	2.04360	+	6.95987i	0.106821	+	0.363798i
$367$	−2.95380			−0.154187			−0.0770936	−	0.997024i	$-0.524564\pi$
$367$	−2.95380			−0.154187			−0.0770936	+	0.997024i	$0.524564\pi$
$368$	4.79309	−	0.162144i	0.249857	−	0.00845232i
$369$		−	5.87985i		−	0.306093i
$370$	−1.01255	−	3.44844i	−0.0526401	−	0.179276i
$371$	9.25748	+	5.95855i	0.480624	+	0.309352i
$372$	6.05101	−	3.88875i	0.313730	−	0.201622i
$373$	4.51001	−	0.648442i	0.233519	−	0.0335750i	−0.0245615	−	0.999698i	$-0.507819\pi$
$373$	4.51001	−	0.648442i	0.233519	−	0.0335750i	0.258081	+	0.966123i	$0.416910\pi$
$374$	20.2327	−	31.4828i	1.04621	−	1.62793i
$375$	−15.1989	−	6.94109i	−0.784866	−	0.358436i
$376$	0.818881	+	0.709565i	0.0422306	+	0.0365930i
$377$	0.437583	+	0.0629149i	0.0225366	+	0.00324028i
$378$	−8.61437	−	9.95553i	−0.443075	−	0.512057i
$379$	−7.67694	+	26.1453i	−0.394338	+	1.34299i	0.488192	+	0.872736i	$0.337657\pi$
$379$	−7.67694	+	26.1453i	−0.394338	+	1.34299i	−0.882530	+	0.470256i	$0.844162\pi$
$380$	24.0265	+	7.05481i	1.23253	+	0.361904i
$381$	−14.9996	+	6.85008i	−0.768452	+	0.350940i
$382$	1.20601	+	0.173399i	0.0617050	+	0.00887184i
$383$	−16.8114	+	19.4014i	−0.859021	+	0.991363i	0.140978	+	0.990013i	$0.454975\pi$
$383$	−16.8114	+	19.4014i	−0.859021	+	0.991363i	−0.999999	+	0.00135042i	$0.999570\pi$
$384$	−0.902395	−	0.412110i	−0.0460501	−	0.0210304i
$385$	−56.2235	−	16.5513i	−2.86542	−	0.843533i
$386$	−0.797611	−	5.54751i	−0.0405973	−	0.282361i
$387$	1.83110	+	2.84925i	0.0930801	+	0.144835i
$388$	−0.810200	−	0.935021i	−0.0411317	−	0.0474685i
$389$	10.3066	+	35.1009i	0.522563	+	1.77969i	0.620176	+	0.784463i	$0.287061\pi$
$389$	10.3066	+	35.1009i	0.522563	+	1.77969i	−0.0976123	+	0.995225i	$0.531121\pi$
$390$	−2.15250			−0.108996
$391$	−3.34795	+	30.5980i	−0.169313	+	1.54741i
$392$	−5.89405	+	3.77627i	−0.297694	+	0.190730i
$393$	−19.9881	+	5.86905i	−1.00827	+	0.296054i
$394$	5.03048	+	5.80549i	0.253432	+	0.292476i
$395$	8.08139	+	12.5749i	0.406619	+	0.632712i
$396$	−11.6345	+	1.67279i	−0.584656	+	0.0840608i
$397$	3.32613	−	5.17556i	0.166934	−	0.259754i	−0.747701	−	0.664036i	$-0.768842\pi$
$397$	3.32613	−	5.17556i	0.166934	−	0.259754i	0.914634	+	0.404282i	$0.132479\pi$
$398$	6.98196	−	15.2884i	0.349974	−	0.766336i
$399$	−7.19763	+	15.7316i	−0.360332	+	0.787563i
$400$	−1.34250	+	9.33732i	−0.0671252	+	0.466866i
$401$	5.17703	−	2.36427i	0.258528	−	0.118066i	−0.281935	−	0.959434i	$-0.590976\pi$
$401$	5.17703	−	2.36427i	0.258528	−	0.118066i	0.540463	+	0.841368i	$0.318249\pi$
$402$	−5.94100	−	1.74444i	−0.296310	−	0.0870045i
$403$	−3.97320	−	1.16664i	−0.197919	−	0.0581144i
$404$	−8.45726	+	3.86230i	−0.420765	+	0.192157i
$405$	−0.600791	+	4.17859i	−0.0298535	+	0.207636i
$406$	1.86230	+	0.852056i	0.0924246	+	0.0422868i
$407$	2.29146	−	5.01760i	0.113583	−	0.248713i
$408$	3.44233	−	5.35637i	0.170421	−	0.265180i
$409$	−7.31977	+	1.05242i	−0.361940	+	0.0520390i	−0.320886	−	0.947118i	$-0.603981\pi$
$409$	−7.31977	+	1.05242i	−0.361940	+	0.0520390i	−0.0410537	+	0.999157i	$0.513071\pi$
$410$	−5.99102	−	9.32221i	−0.295875	−	0.460391i
$411$	7.11459	+	8.21067i	0.350937	+	0.405003i
$412$	−0.244140	+	0.0716859i	−0.0120279	+	0.00353171i
$413$	25.1045	−	7.35234i	1.23531	−	0.361785i
$414$	7.95160	−	5.49872i	0.390800	−	0.270247i
$415$	36.9855			1.81554
$416$	0.160904	+	0.547988i	0.00788895	+	0.0268673i
$417$	3.56317	+	4.11212i	0.174489	+	0.201371i
$418$	20.7781	+	32.3314i	1.01629	+	1.58138i
$419$	4.96776	+	34.5515i	0.242691	+	1.68795i	0.638501	+	0.769621i	$0.279555\pi$
$419$	4.96776	+	34.5515i	0.242691	+	1.68795i	−0.395810	+	0.918332i	$0.629536\pi$
$420$	−9.56569	−	2.81599i	−0.466758	−	0.137406i
$421$	−25.3129	−	11.5600i	−1.23367	−	0.563400i	−0.311526	−	0.950238i	$-0.600840\pi$
$421$	−25.3129	−	11.5600i	−1.23367	−	0.563400i	−0.922148	+	0.386838i	$0.873567\pi$
$422$	−6.21756	+	7.17545i	−0.302666	+	0.349295i
$423$	2.16201	+	0.310850i	0.105121	+	0.0151141i
$424$	3.78510	−	1.72860i	0.183821	−	0.0839481i
$425$	−58.0925	−	17.0575i	−2.81790	−	0.827411i
$426$	2.64235	−	8.99903i	0.128022	−	0.436004i
$427$	14.6291	−	12.6583i	0.707952	−	0.612580i
$428$	−4.61819	−	0.663995i	−0.223229	−	0.0320954i
$429$	−2.49672	−	2.16342i	−0.120543	−	0.104451i
$430$	5.80623	+	2.65162i	0.280001	+	0.127872i
$431$	−8.13667	+	12.6609i	−0.391929	+	0.609854i	−0.980010	−	0.198948i	$-0.936247\pi$
$431$	−8.13667	+	12.6609i	−0.391929	+	0.609854i	0.588081	+	0.808802i	$0.299884\pi$
$432$	−4.92529	+	0.708150i	−0.236968	+	0.0340709i
$433$	−11.4178	+	7.33775i	−0.548702	+	0.352630i	−0.785434	−	0.618945i	$-0.787560\pi$
$433$	−11.4178	+	7.33775i	−0.548702	+	0.352630i	0.236732	+	0.971575i	$0.423924\pi$
$434$	−16.1306	−	10.3824i	−0.774295	−	0.498372i
$435$	0.821912	+	2.79918i	0.0394077	+	0.134210i
$436$			13.1693i			0.630696i
$437$	−27.1549	−	16.1810i	−1.29899	−	0.774041i
$438$	−3.91084			−0.186867
$439$	6.48573	+	22.0884i	0.309547	+	1.05422i	0.956510	+	0.291699i	$0.0942207\pi$
$439$	6.48573	+	22.0884i	0.309547	+	1.05422i	−0.646963	+	0.762522i	$0.723961\pi$
$440$	−16.7415	+	14.5066i	−0.798120	+	0.691575i
$441$	−5.87979	+	12.8276i	−0.279990	+	0.610837i
$442$	−3.62826	+	0.521665i	−0.172579	+	0.0248131i
$443$	−13.6113	−	8.74747i	−0.646694	−	0.415605i	0.175763	−	0.984432i	$-0.443761\pi$
$443$	−13.6113	−	8.74747i	−0.646694	−	0.415605i	−0.822457	+	0.568828i	$0.807397\pi$
$444$	0.389861	−	0.853677i	0.0185020	−	0.0405137i
$445$	21.8044	−	25.1636i	1.03363	−	1.19287i
$446$	11.6803	+	1.67937i	0.553078	+	0.0795206i
$447$	−4.27847	−	9.36855i	−0.202365	−	0.443117i
$448$	−0.00184493	+	2.64575i	−8.71647e−5	+	0.125000i
$449$	10.3241	+	3.03142i	0.487223	+	0.143061i	0.516112	−	0.856521i	$-0.327379\pi$
$449$	10.3241	+	3.03142i	0.487223	+	0.143061i	−0.0288893	+	0.999583i	$0.509197\pi$
$450$	7.89961	+	17.2977i	0.372391	+	0.815423i
$451$	2.42042	−	16.8344i	0.113973	−	0.792702i
$452$	6.59445	+	5.71412i	0.310177	+	0.268770i
$453$	3.90504	+	1.78337i	0.183475	+	0.0837900i
$454$	4.09178	+	2.62963i	0.192037	+	0.123415i
$455$	2.38111	+	5.22354i	0.111628	+	0.244884i
$456$	3.53512	+	5.50076i	0.165547	+	0.257597i
$457$	−15.1773	+	13.1512i	−0.709965	+	0.615188i	−0.933107	−	0.359598i	$-0.882914\pi$
$457$	−15.1773	+	13.1512i	−0.709965	+	0.615188i	0.223142	+	0.974786i	$0.428368\pi$
$458$	−1.54598	+	0.453942i	−0.0722390	+	0.0212113i
$459$		−	31.9366i		−	1.49067i
$460$	7.00418	−	16.8199i	0.326572	−	0.784231i
$461$			25.1889i			1.17317i	0.809889	+	0.586583i	$0.199527\pi$
$461$			25.1889i			1.17317i	−0.809889	+	0.586583i	$0.800473\pi$
$462$	−8.26514	−	12.8805i	−0.384529	−	0.599257i
$463$	3.41896	+	3.94568i	0.158892	+	0.183372i	0.829614	−	0.558338i	$-0.188561\pi$
$463$	3.41896	+	3.94568i	0.158892	+	0.183372i	−0.670721	+	0.741710i	$0.734015\pi$
$464$	0.651180	−	0.418488i	0.0302303	−	0.0194278i
$465$	−3.88897	−	27.0484i	−0.180347	−	1.25434i
$466$	−10.3365	−	6.64286i	−0.478829	−	0.307725i
$467$	12.3983	−	27.1485i	0.573725	−	1.25628i	−0.371065	−	0.928607i	$-0.621007\pi$
$467$	12.3983	−	27.1485i	0.573725	−	1.25628i	0.944790	−	0.327676i	$-0.106265\pi$
$468$	0.870091	+	0.753938i	0.0402200	+	0.0348508i
$469$	2.33870	+	16.3469i	0.107991	+	0.754831i
$470$	3.74449	−	1.71005i	0.172720	−	0.0788787i
$471$	2.24011	−	7.62912i	0.103219	−	0.351531i
$472$	2.78554	−	9.48668i	0.128215	−	0.436660i
$473$	4.06968	+	8.91136i	0.187124	+	0.409745i
$474$	−0.555488	+	3.86351i	−0.0255144	+	0.177457i
$475$	40.7173	−	46.9903i	1.86824	−	2.15606i
$476$	−16.8064	−	2.42836i	−0.770321	−	0.111304i
$477$	4.53501	−	7.05662i	0.207644	−	0.323100i
$478$	−0.845376	−	5.87972i	−0.0386666	−	0.268932i
$479$	21.9680	−	14.1180i	1.00374	−	0.645066i	0.0679759	−	0.997687i	$-0.478346\pi$
$479$	21.9680	−	14.1180i	1.00374	−	0.645066i	0.935766	+	0.352621i	$0.114710\pi$
$480$	−2.84834	+	2.46810i	−0.130008	+	0.112653i
$481$	−0.518403	+	0.152217i	−0.0236372	+	0.00694050i
$482$	−27.0203			−1.23074
$483$	10.8089	+	6.45101i	0.491823	+	0.293531i
$484$	−22.9990			−1.04541
$485$	−4.50992	+	1.32423i	−0.204785	+	0.0601302i
$486$	−12.1148	+	10.4975i	−0.549539	+	0.476178i
$487$	−12.7759	+	8.21055i	−0.578929	+	0.372055i	−0.797093	−	0.603857i	$-0.793630\pi$
$487$	−12.7759	+	8.21055i	−0.578929	+	0.372055i	0.218163	+	0.975912i	$0.429993\pi$
$488$	−1.04059	−	7.23745i	−0.0471052	−	0.327624i
$489$	−9.69281	+	15.0823i	−0.438324	+	0.682045i
$490$	3.74799	+	26.3284i	0.169317	+	1.18940i
$491$	18.6896	−	21.5689i	0.843448	−	0.973391i	−0.156450	−	0.987686i	$-0.550005\pi$
$491$	18.6896	−	21.5689i	0.843448	−	0.973391i	0.999898	+	0.0142950i	$0.00455041\pi$
$492$	0.411803	−	2.86415i	0.0185655	−	0.129126i
$493$	2.06381	+	4.51911i	0.0929492	+	0.203530i
$494$	1.06055	−	3.61190i	0.0477163	−	0.162507i
$495$	−12.5809	+	42.8466i	−0.565469	+	1.92581i
$496$	−6.59532	+	3.01198i	−0.296139	+	0.135242i
$497$	−24.7612	+	3.54251i	−1.11069	+	0.158903i
$498$	7.29888	+	6.32452i	0.327071	+	0.283408i
$499$	13.0982	−	28.6810i	0.586355	−	1.28394i	−0.351265	−	0.936276i	$-0.614248\pi$
$499$	13.0982	−	28.6810i	0.586355	−	1.28394i	0.937620	−	0.347662i	$-0.113024\pi$
$500$	14.1691	+	9.10591i	0.633660	+	0.407229i
$501$	0.337610	+	2.34813i	0.0150833	+	0.104907i
$502$	1.57002	−	1.00899i	0.0700732	−	0.0450333i
$503$	−11.8342	−	13.6574i	−0.527661	−	0.608953i	0.427872	−	0.903840i	$-0.359264\pi$
$503$	−11.8342	−	13.6574i	−0.527661	−	0.608953i	−0.955532	+	0.294887i	$0.904718\pi$
$504$	2.88034	+	4.48878i	0.128301	+	0.199946i
$505$			35.3222i			1.57182i
$506$	25.0295	−	12.4700i	1.11270	−	0.554357i
$507$		−	12.5730i		−	0.558386i
$508$	15.9487	−	4.68295i	0.707608	−	0.207772i
$509$	−17.7760	+	15.4030i	−0.787905	+	0.682724i	−0.952804	−	0.303587i	$-0.901816\pi$
$509$	−17.7760	+	15.4030i	−0.787905	+	0.682724i	0.164898	+	0.986311i	$0.447270\pi$
$510$	−13.0778	−	20.3495i	−0.579097	−	0.901092i
$511$	4.32620	+	9.49056i	0.191380	+	0.419838i
$512$	0.841254	+	0.540641i	0.0371785	+	0.0238932i
$513$	29.8336	+	13.6246i	1.31719	+	0.601539i
$514$	−18.8374	−	16.3227i	−0.830882	−	0.719963i
$515$	−0.137572	+	0.956835i	−0.00606215	+	0.0421632i
$516$	0.692402	+	1.51615i	0.0304813	+	0.0667447i
$517$	6.06203	+	1.77997i	0.266608	+	0.0782830i
$518$	−2.50291	−	0.00174533i	−0.109972	−	7.66852e-5i
$519$	8.88014	+	19.4448i	0.389795	+	0.853532i
$520$	2.14768	+	0.308790i	0.0941819	+	0.0135413i
$521$	10.6569	−	12.2987i	0.466888	−	0.538817i	−0.472656	−	0.881247i	$-0.656705\pi$
$521$	10.6569	−	12.2987i	0.466888	−	0.538817i	0.939543	+	0.342430i	$0.111250\pi$
$522$	0.648208	−	1.41938i	0.0283713	−	0.0621245i
$523$	1.65997	+	1.06680i	0.0725855	+	0.0466478i	0.576430	−	0.817146i	$-0.304445\pi$
$523$	1.65997	+	1.06680i	0.0725855	+	0.0466478i	−0.503845	+	0.863794i	$0.668082\pi$
$524$	20.7853	−	2.98848i	0.908011	−	0.130552i
$525$	−16.2272	+	18.7008i	−0.708213	+	0.816171i
$526$	−0.555535	+	0.481374i	−0.0242225	+	0.0209889i
$527$	−13.1105	−	44.6503i	−0.571103	−	1.94500i
$528$	−5.78447			−0.251737
$529$	−13.8527	+	18.3604i	−0.602290	+	0.798277i
$530$		−	15.8087i		−	0.686684i
$531$	−5.61523	−	19.1237i	−0.243680	−	0.829899i
$532$	9.43829	−	14.6638i	0.409202	−	0.635755i
$533$	−1.40141	+	0.900630i	−0.0607017	+	0.0390106i
$534$	8.60597	−	1.23735i	0.372417	−	0.0535454i
$535$	−9.58312	+	14.9116i	−0.414314	+	0.644686i
$536$	5.67744	+	2.59280i	0.245228	+	0.111992i
$537$	−0.791196	−	0.685575i	−0.0341426	−	0.0295848i
$538$	5.91350	+	0.850233i	0.254949	+	0.0366561i
$539$	−22.1147	+	34.3058i	−0.952547	+	1.47766i
$540$	−5.32593	+	18.1385i	−0.229192	+	0.780555i
$541$	10.6683	+	3.13249i	0.458665	+	0.134676i	0.502899	−	0.864345i	$-0.332267\pi$
$541$	10.6683	+	3.13249i	0.458665	+	0.134676i	−0.0442342	+	0.999021i	$0.514085\pi$
$542$	2.74333	−	1.25284i	0.117836	−	0.0538139i
$543$	22.4272	+	3.22454i	0.962442	+	0.138378i
$544$	−4.20302	+	4.85055i	−0.180203	+	0.207966i
$545$	45.5106	+	20.7840i	1.94946	+	0.890288i
$546$	−0.423327	+	1.43801i	−0.0181167	+	0.0615411i
$547$	3.37559	+	23.4778i	0.144330	+	1.00384i	0.925291	+	0.379258i	$0.123821\pi$
$547$	3.37559	+	23.4778i	0.144330	+	1.00384i	−0.780961	+	0.624580i	$0.785270\pi$
$548$	−5.92078	−	9.21291i	−0.252923	−	0.393556i
$549$	−9.65240	−	11.1395i	−0.411955	−	0.475421i
$550$	15.4966	+	52.7765i	0.660776	+	2.25040i
$551$	−5.10198			−0.217352
$552$	4.25844	−	2.12160i	0.181251	−	0.0903012i
$553$	9.99019	−	2.92582i	0.424826	−	0.124418i
$554$	−20.1332	+	5.91163i	−0.855376	+	0.251161i
$555$	−2.33486	−	2.69457i	−0.0991092	−	0.114378i
$556$	−2.96528	−	4.61407i	−0.125756	−	0.195680i
$557$	−28.4847	+	4.09548i	−1.20693	+	0.173531i	−0.716274	−	0.697819i	$-0.754154\pi$
$557$	−28.4847	+	4.09548i	−1.20693	+	0.173531i	−0.490661	+	0.871350i	$0.663245\pi$
$558$	−7.90200	+	12.2957i	−0.334518	+	0.520520i
$559$	0.398618	−	0.872851i	0.0168597	−	0.0369177i
$560$	9.14029	+	4.18193i	0.386248	+	0.176719i
$561$	5.28356	−	36.7480i	0.223072	−	1.55150i
$562$	−23.7136	+	10.8296i	−1.00030	+	0.456820i
$563$	14.6511	+	4.30196i	0.617471	+	0.181306i	0.575485	−	0.817812i	$-0.304813\pi$
$563$	14.6511	+	4.30196i	0.617471	+	0.181306i	0.0419862	+	0.999118i	$0.486631\pi$
$564$	1.03137	+	0.302838i	0.0434286	+	0.0127518i
$565$	30.1543	−	13.7710i	1.26860	−	0.579351i
$566$	−2.23531	+	15.5469i	−0.0939569	+	0.653485i
$567$	2.67341	+	1.22316i	0.112273	+	0.0513679i
$568$	−3.92740	+	8.59981i	−0.164790	+	0.360840i
$569$	−21.0945	+	32.8237i	−0.884327	+	1.37604i	0.0419195	+	0.999121i	$0.486653\pi$
$569$	−21.0945	+	32.8237i	−0.884327	+	1.37604i	−0.926246	+	0.376919i	$0.876984\pi$
$570$	24.5887	−	3.53532i	1.02991	−	0.148078i
$571$	−5.44510	−	8.47274i	−0.227870	−	0.354573i	0.708426	−	0.705786i	$-0.249406\pi$
$571$	−5.44510	−	8.47274i	−0.227870	−	0.354573i	−0.936296	+	0.351213i	$0.885769\pi$
$572$	2.18077	+	2.51675i	0.0911828	+	0.105231i
$573$	1.15976	−	0.340536i	0.0484497	−	0.0142261i
$574$	−7.40607	+	2.16901i	−0.309124	+	0.0905328i
$575$	−30.7654	−	33.1695i	−1.28301	−	1.38326i
$576$	2.01585			0.0839937
$577$	−4.52384	−	15.4068i	−0.188330	−	0.641393i	−0.998477	−	0.0551663i	$-0.982431\pi$
$577$	−4.52384	−	15.4068i	−0.188330	−	0.641393i	0.810147	−	0.586226i	$-0.199387\pi$
$578$	−15.8432	−	18.2840i	−0.658990	−	0.760515i
$579$	−3.00594	−	4.67734i	−0.124923	−	0.194384i
$580$	−0.418512	−	2.91081i	−0.0173778	−	0.120865i
$581$	7.27384	−	24.7087i	0.301770	−	1.02509i
$582$	−1.11645	−	0.509866i	−0.0462784	−	0.0211346i
$583$	15.8889	−	18.3368i	0.658051	−	0.759431i
$584$	3.90208	+	0.561034i	0.161469	+	0.0232158i
$585$	3.97865	−	1.81699i	0.164497	−	0.0751233i
$586$	13.0857	+	3.84230i	0.540565	+	0.158724i
$587$	−3.14648	+	10.7159i	−0.129869	+	0.442294i	−0.998595	−	0.0530002i	$-0.983122\pi$
$587$	−3.14648	+	10.7159i	−0.129869	+	0.442294i	0.868725	+	0.495294i	$0.164940\pi$
$588$	−3.76252	+	5.83668i	−0.155164	+	0.240701i
$589$	47.3033	+	6.80119i	1.94910	+	0.280238i
$590$	−28.3879	−	24.5983i	−1.16871	−	1.01270i
$591$	6.93198	+	3.16573i	0.285144	+	0.130221i
$592$	−0.511453	+	0.795837i	−0.0210206	+	0.0327087i
$593$	−30.0848	+	4.32554i	−1.23543	+	0.177629i	−0.728917	−	0.684602i	$-0.759976\pi$
$593$	−30.0848	+	4.32554i	−1.23543	+	0.177629i	−0.506516	+	0.862230i	$0.669067\pi$
$594$	−24.4082	+	15.6862i	−1.00148	+	0.643612i
$595$	−34.9160	+	54.2472i	−1.43142	+	2.22392i
$596$	2.92491	+	9.96133i	0.119809	+	0.408032i
$597$		−	16.6735i		−	0.682399i
$598$	−2.52853	−	1.05294i	−0.103399	−	0.0430578i
$599$	3.58737			0.146576			0.0732880	−	0.997311i	$-0.476651\pi$
$599$	3.58737			0.146576			0.0732880	+	0.997311i	$0.476651\pi$
$600$	2.63653	+	8.97921i	0.107636	+	0.366575i
$601$	34.8119	−	30.1646i	1.42001	−	1.23044i	0.485624	−	0.874168i	$-0.338593\pi$
$601$	34.8119	−	30.1646i	1.42001	−	1.23044i	0.934382	−	0.356274i	$-0.115953\pi$
$602$	2.91335	−	3.35745i	0.118739	−	0.136839i
$603$	12.4538	−	1.79059i	0.507158	−	0.0729183i
$604$	−3.64045	−	2.33958i	−0.148128	−	0.0951960i
$605$	−36.2973	+	79.4800i	−1.47569	+	3.23132i
$606$	−6.04010	+	6.97064i	−0.245362	+	0.283163i
$607$	12.3843	+	1.78059i	0.502663	+	0.0722721i	0.388982	−	0.921245i	$-0.372827\pi$
$607$	12.3843	+	1.78059i	0.502663	+	0.0722721i	0.113681	+	0.993517i	$0.463736\pi$
$608$	−2.73808	−	5.99557i	−0.111044	−	0.243152i
$609$	2.03167	+	0.00141672i	0.0823276	+	5.74085e-5i
$610$	−26.6535	−	7.82617i	−1.07917	−	0.316872i
$611$	−0.257072	−	0.562908i	−0.0104000	−	0.0227728i
$612$	−1.84129	+	12.8064i	−0.0744295	+	0.517669i
$613$	−5.49093	−	4.75792i	−0.221777	−	0.192171i	0.536885	−	0.843655i	$-0.319601\pi$
$613$	−5.49093	−	4.75792i	−0.221777	−	0.192171i	−0.758662	+	0.651485i	$0.774146\pi$
$614$	−7.46155	−	3.40758i	−0.301124	−	0.137519i
$615$	−9.24804	−	5.94335i	−0.372917	−	0.239659i
$616$	6.39883	+	14.0374i	0.257816	+	0.565582i
$617$	−3.03799	−	4.72721i	−0.122305	−	0.190310i	0.774702	−	0.632326i	$-0.217900\pi$
$617$	−3.03799	−	4.72721i	−0.122305	−	0.190310i	−0.897007	+	0.442016i	$0.854263\pi$
$618$	−0.190768	+	0.165301i	−0.00767382	+	0.00664940i
$619$	−21.7789	+	6.39487i	−0.875369	+	0.257032i	−0.688398	−	0.725334i	$-0.741686\pi$
$619$	−21.7789	+	6.39487i	−0.875369	+	0.257032i	−0.186972	+	0.982365i	$0.559867\pi$
$620$			27.5457i			1.10626i
$621$	12.2156	−	20.5002i	0.490196	−	0.822645i
$622$			16.3782i			0.656707i
$623$	−12.5227	−	19.5156i	−0.501712	−	0.781877i
$624$	0.371030	+	0.428191i	0.0148531	+	0.0171414i
$625$	14.1509	−	9.09424i	0.566037	−	0.363770i
$626$	−3.31457	−	23.0533i	−0.132477	−	0.921397i
$627$	32.0742	+	20.6128i	1.28092	+	0.823197i
$628$	−3.32954	+	7.29067i	−0.132863	+	0.290929i
$629$	−4.58868	−	3.97612i	−0.182963	−	0.158538i
$630$	20.0581	−	2.86965i	0.799136	−	0.114330i
$631$	10.3870	−	4.74357i	0.413499	−	0.188839i	−0.197793	−	0.980244i	$-0.563377\pi$
$631$	10.3870	−	4.74357i	0.413499	−	0.188839i	0.611292	+	0.791405i	$0.290650\pi$
$632$	1.10849	−	3.77516i	0.0440933	−	0.150168i
$633$	−2.65362	+	9.03741i	−0.105472	+	0.359205i
$634$	3.17859	+	6.96014i	0.126238	+	0.276423i
$635$	8.98704	−	62.5062i	0.356640	−	2.48048i
$636$	2.70328	−	3.11976i	0.107192	−	0.123706i
$637$	3.95795	−	0.563435i	0.156820	−	0.0223241i
$638$	2.44015	−	3.79694i	0.0966063	−	0.150322i
$639$	2.71226	+	18.8642i	0.107295	+	0.746255i
$640$	3.19603	−	2.05396i	0.126334	−	0.0811900i
$641$	9.36098	−	8.11133i	0.369736	−	0.320378i	−0.450098	−	0.892979i	$-0.648611\pi$
$641$	9.36098	−	8.11133i	0.369736	−	0.320378i	0.819834	+	0.572601i	$0.194065\pi$
$642$	−4.44107	+	1.30402i	−0.175275	+	0.0514654i
$643$	−36.3882			−1.43501			−0.717505	−	0.696554i	$-0.754716\pi$
$643$	−36.3882			−1.43501			−0.717505	+	0.696554i	$0.754716\pi$
$644$	−9.85927	−	7.98717i	−0.388510	−	0.314738i
$645$	6.33227			0.249333
$646$	40.5900	−	11.9183i	1.59699	−	0.468920i
$647$	−19.2715	+	16.6989i	−0.757642	+	0.656500i	−0.945473	−	0.325701i	$-0.894400\pi$
$647$	−19.2715	+	16.6989i	−0.757642	+	0.656500i	0.187831	+	0.982201i	$0.439854\pi$
$648$	0.934796	−	0.600757i	0.0367222	−	0.0236000i
$649$	−8.20457	−	57.0640i	−0.322057	−	2.23996i
$650$	2.91275	−	4.53233i	0.114247	−	0.177773i
$651$	−18.8349	−	2.72146i	−0.738198	−	0.106662i
$652$	11.8347	−	13.6580i	0.463484	−	0.534890i
$653$	3.50287	−	24.3630i	0.137078	−	0.953398i	−0.798931	−	0.601422i	$-0.794601\pi$
$653$	3.50287	−	24.3630i	0.137078	−	0.953398i	0.936009	−	0.351976i	$-0.114490\pi$
$654$	5.42720	+	11.8839i	0.212220	+	0.464698i
$655$	22.4761	−	76.5464i	0.878212	−	2.99092i
$656$	−0.821761	+	2.79866i	−0.0320844	+	0.109269i
$657$	7.22874	−	3.30126i	0.282020	−	0.128794i
$658$	−0.406004	−	2.83787i	−0.0158277	−	0.110632i
$659$	−22.4764	−	19.4759i	−0.875557	−	0.758675i	0.0960245	−	0.995379i	$-0.469387\pi$
$659$	−22.4764	−	19.4759i	−0.875557	−	0.758675i	−0.971582	+	0.236704i	$0.923933\pi$
$660$	−9.12913	+	19.9900i	−0.355351	+	0.778110i
$661$	15.5461	+	9.99088i	0.604674	+	0.388600i	0.806856	−	0.590748i	$-0.201167\pi$
$661$	15.5461	+	9.99088i	0.604674	+	0.388600i	−0.202183	+	0.979348i	$0.564803\pi$
$662$	3.89365	+	27.0809i	0.151331	+	1.05253i
$663$	−3.05914	+	1.96599i	−0.118807	+	0.0763528i
$664$	−6.37524	−	7.35742i	−0.247407	−	0.285523i
$665$	−35.7795	−	55.7595i	−1.38747	−	2.16226i
$666$			1.90702i			0.0738955i
$667$	−0.403776	+	3.69023i	−0.0156343	+	0.142886i
$668$		−	2.39130i		−	0.0925221i
$669$	11.2323	−	3.29811i	0.434267	−	0.127512i
$670$	17.9204	−	15.5281i	0.692326	−	0.599904i
$671$	−23.0500	−	35.8665i	−0.889834	−	1.38461i
$672$	1.08868	+	2.38827i	0.0419966	+	0.0921296i
$673$	5.13028	+	3.29703i	0.197758	+	0.127091i	0.635772	−	0.771877i	$-0.280682\pi$
$673$	5.13028	+	3.29703i	0.197758	+	0.127091i	−0.438014	+	0.898968i	$0.644318\pi$
$674$	−1.61058	−	0.735529i	−0.0620374	−	0.0283315i
$675$	35.4747	+	30.7390i	1.36542	+	1.18314i
$676$	−1.80367	+	12.5448i	−0.0693720	+	0.482493i
$677$	20.7527	+	45.4420i	0.797591	+	1.74648i	0.653516	+	0.756913i	$0.273293\pi$
$677$	20.7527	+	45.4420i	0.797591	+	1.74648i	0.144075	+	0.989567i	$0.453979\pi$
$678$	8.30564	+	2.43876i	0.318976	+	0.0936599i
$679$	−0.00228256	+	3.27335i	−8.75967e−5	+	0.125620i
$680$	10.1293	+	22.1800i	0.388440	+	0.850565i
$681$	4.77610	+	0.686700i	0.183021	+	0.0263144i
$682$	−27.6855	+	31.9507i	−1.06013	+	1.22346i
$683$	11.7106	−	25.6427i	0.448095	−	0.981192i	−0.541946	−	0.840413i	$-0.682312\pi$
$683$	11.7106	−	25.6427i	0.448095	−	0.981192i	0.990041	−	0.140778i	$-0.0449605\pi$
$684$	−11.1776	−	7.18342i	−0.427387	−	0.274665i
$685$	−41.1823	+	5.92112i	−1.57349	+	0.226234i
$686$	18.3262	+	2.67405i	0.699697	+	0.102096i
$687$	−1.20801	+	1.04675i	−0.0460886	+	0.0399360i
$688$	−0.473350	−	1.61208i	−0.0180463	−	0.0614600i
$689$	−2.37652			−0.0905380
$690$	−0.611103	−	18.0647i	−0.0232643	−	0.687710i
$691$			11.3335i			0.431146i	0.976488	+	0.215573i	$0.0691620\pi$
$691$			11.3335i			0.431146i	−0.976488	+	0.215573i	$0.930838\pi$
$692$	−6.07077	−	20.6751i	−0.230776	−	0.785951i
$693$	26.1500	+	16.8314i	0.993357	+	0.639371i
$694$	23.8996	−	15.3593i	0.907216	−	0.583032i
$695$	−20.6252	+	2.96545i	−0.782357	+	0.112486i
$696$	0.415158	−	0.645999i	0.0157365	−	0.0244865i
$697$	−17.0289	−	7.77685i	−0.645016	−	0.294569i
$698$	−14.5438	−	12.6023i	−0.550492	−	0.477004i
$699$	−12.0652	−	1.73471i	−0.456347	−	0.0656128i
$700$	18.8736	−	16.3310i	0.713355	−	0.617255i
$701$	1.30455	−	4.44290i	0.0492723	−	0.167806i	−0.931181	−	0.364556i	$-0.881221\pi$
$701$	1.30455	−	4.44290i	0.0492723	−	0.167806i	0.980454	+	0.196750i	$0.0630388\pi$
$702$	2.72675	+	0.800647i	0.102915	+	0.0302185i
$703$	5.67189	−	2.59026i	0.213919	−	0.0976936i
$704$	5.77151	+	0.829819i	0.217522	+	0.0312750i
$705$	2.67428	−	3.08628i	0.100719	−	0.116236i
$706$	−9.30335	−	4.24870i	−0.350136	−	0.159902i
$707$	23.5975	+	6.94673i	0.887475	+	0.261259i
$708$	−1.39590	−	9.70868i	−0.0524610	−	0.364875i
$709$	−10.4525	−	16.2645i	−0.392553	−	0.610825i	0.587580	−	0.809166i	$-0.300081\pi$
$709$	−10.4525	−	16.2645i	−0.392553	−	0.610825i	−0.980133	+	0.198341i	$0.936445\pi$
$710$	23.5210	+	27.1447i	0.882727	+	1.01872i
$711$	−2.23454	−	7.61016i	−0.0838020	−	0.285403i
$712$	−8.76420			−0.328452
$713$	8.66289	−	33.6760i	0.324428	−	1.26117i
$714$	−16.1668	+	4.73475i	−0.605026	+	0.177194i
$715$	12.1391	−	3.56437i	0.453977	−	0.133300i
$716$	0.691074	+	0.797541i	0.0258266	+	0.0298055i
$717$	−3.18595	−	4.95744i	−0.118982	−	0.185139i
$718$	−14.4707	+	2.08058i	−0.540043	+	0.0776465i
$719$	−0.510708	+	0.794678i	−0.0190462	+	0.0296365i	−0.850646	−	0.525739i	$-0.823789\pi$
$719$	−0.510708	+	0.794678i	−0.0190462	+	0.0296365i	0.831600	+	0.555375i	$0.187425\pi$
$720$	3.18144	−	6.96638i	0.118565	−	0.259622i
$721$	0.612172	+	0.280085i	0.0227985	+	0.0104309i
$722$	−3.47874	+	24.1952i	−0.129465	+	0.900450i
$723$	−24.3830	+	11.1353i	−0.906813	+	0.414128i
$724$	−21.9143	−	6.43463i	−0.814440	−	0.239141i
$725$	−7.00618	−	2.05720i	−0.260203	−	0.0764025i
$726$	−20.7542	+	9.47811i	−0.770259	+	0.351766i
$727$	−3.17097	+	22.0546i	−0.117605	+	0.817959i	0.842576	+	0.538578i	$0.181038\pi$
$727$	−3.17097	+	22.0546i	−0.117605	+	0.817959i	−0.960180	+	0.279381i	$0.909871\pi$
$728$	0.628670	−	1.37406i	0.0233001	−	0.0509260i
$729$	−5.22138	+	11.4332i	−0.193384	+	0.423453i
$730$	8.09713	−	12.5994i	0.299688	−	0.466324i
$731$	10.6737	−	1.53465i	0.394781	−	0.0567610i
$732$	−3.92165	−	6.10220i	−0.144948	−	0.225544i
$733$	23.8166	+	27.4858i	0.879686	+	1.01521i	0.999748	+	0.0224457i	$0.00714528\pi$
$733$	23.8166	+	27.4858i	0.879686	+	1.01521i	−0.120062	+	0.992766i	$0.538309\pi$
$734$	2.83415	−	0.832183i	0.104611	−	0.0307164i
$735$	14.2324	+	22.2141i	0.524969	+	0.819378i
$736$	−4.55325	+	1.50595i	−0.167835	+	0.0555099i
$737$	36.3932			1.34056
$738$	1.65655	+	5.64168i	0.0609783	+	0.207673i
$739$	−32.7453	−	37.7901i	−1.20456	−	1.39013i	−0.898994	−	0.437960i	$-0.855701\pi$
$739$	−32.7453	−	37.7901i	−1.20456	−	1.39013i	−0.305562	−	0.952172i	$-0.598844\pi$
$740$	1.94307	+	3.02348i	0.0714288	+	0.111145i
$741$	−0.531465	−	3.69642i	−0.0195239	−	0.135791i
$742$	−10.5612	−	3.10905i	−0.387714	−	0.114137i
$743$	32.8796	+	15.0156i	1.20624	+	0.550869i	0.914093	−	0.405506i	$-0.132904\pi$
$743$	32.8796	+	15.0156i	1.20624	+	0.550869i	0.292143	+	0.956375i	$0.405632\pi$
$744$	−4.71031	+	5.43599i	−0.172688	+	0.199293i
$745$	39.0406	+	5.61318i	1.43034	+	0.205651i
$746$	−4.14464	+	1.89279i	−0.151746	+	0.0693000i
$747$	−18.8299	−	5.52895i	−0.688949	−	0.202294i
$748$	−10.5435	+	35.9077i	−0.385507	+	1.31292i
$749$	8.07724	+	9.33477i	0.295136	+	0.341085i
$750$	16.5387	+	2.37791i	0.603909	+	0.0868291i
$751$	4.84583	+	4.19893i	0.176827	+	0.153221i	0.738777	−	0.673949i	$-0.235403\pi$
$751$	4.84583	+	4.19893i	0.176827	+	0.153221i	−0.561951	+	0.827171i	$0.689949\pi$
$752$	−0.985618	−	0.450117i	−0.0359418	−	0.0164141i
$753$	1.00096	−	1.55752i	0.0364770	−	0.0567593i
$754$	−0.437583	+	0.0629149i	−0.0159358	+	0.00229122i
$755$	−13.8305	+	8.88834i	−0.503344	+	0.323480i
$756$	11.0702	+	7.12531i	0.402620	+	0.259145i
$757$	−6.86795	−	23.3901i	−0.249620	−	0.850127i	−0.985012	−	0.172485i	$-0.944820\pi$
$757$	−6.86795	−	23.3901i	−0.249620	−	0.850127i	0.735392	−	0.677642i	$-0.236998\pi$
$758$		−	27.2490i		−	0.989730i
$759$	17.4475	−	21.5677i	0.633305	−	0.782859i
$760$	−25.0408			−0.908325
$761$	10.9303	+	37.2252i	0.396223	+	1.34941i	0.880313	+	0.474393i	$0.157333\pi$
$761$	10.9303	+	37.2252i	0.396223	+	1.34941i	−0.484090	+	0.875018i	$0.660849\pi$
$762$	12.4621	−	10.7985i	0.451455	−	0.391188i
$763$	22.8355	−	26.3165i	0.826700	−	0.952720i
$764$	−1.20601	+	0.173399i	−0.0436320	+	0.00627334i
$765$	41.3505	+	26.5744i	1.49503	+	0.960799i
$766$	10.6644	−	23.3518i	0.385320	−	0.843734i
$767$	−3.69786	+	4.26756i	−0.133522	+	0.154093i
$768$	0.981946	+	0.141183i	0.0354329	+	0.00509449i
$769$	−3.81828	−	8.36087i	−0.137691	−	0.301501i	0.828208	−	0.560421i	$-0.189361\pi$
$769$	−3.81828	−	8.36087i	−0.137691	−	0.301501i	−0.965899	+	0.258920i	$0.916633\pi$
$770$	58.6091	+	0.0408692i	2.11213	+	0.00147282i
$771$	−23.7255	−	6.96644i	−0.854453	−	0.250890i
$772$	2.32822	+	5.09808i	0.0837943	+	0.183484i
$773$	1.69546	−	11.7922i	0.0609816	−	0.424136i	−0.936346	−	0.351078i	$-0.885815\pi$
$773$	1.69546	−	11.7922i	0.0609816	−	0.424136i	0.997328	−	0.0730580i	$-0.0232758\pi$
$774$	−2.55965	−	2.21795i	−0.0920048	−	0.0797227i
$775$	62.2159	+	28.4130i	2.23486	+	1.02063i
$776$	1.04081	+	0.668886i	0.0373628	+	0.0240116i
$777$	−2.25934	+	1.02990i	−0.0810532	+	0.0369475i
$778$	−19.7781	−	30.7754i	−0.709081	−	1.10335i
$779$	14.5295	−	12.5899i	0.520574	−	0.451080i
$780$	2.06531	−	0.606429i	0.0739499	−	0.0217137i
$781$			55.1259i			1.97256i
$782$	−5.40811	−	30.3018i	−0.193393	−	1.08359i
$783$		−	3.85167i		−	0.137648i
$784$	4.59140	−	5.28385i	0.163979	−	0.188709i
$785$	19.9404	+	23.0125i	0.711704	+	0.821350i
$786$	17.5250	−	11.2626i	0.625095	−	0.401724i
$787$	1.86115	+	12.9446i	0.0663429	+	0.461425i	0.995730	+	0.0923175i	$0.0294275\pi$
$787$	1.86115	+	12.9446i	0.0663429	+	0.461425i	−0.929387	+	0.369107i	$0.879663\pi$
$788$	−6.46231	−	4.15307i	−0.230210	−	0.147947i
$789$	−0.302933	+	0.663331i	−0.0107847	+	0.0236152i
$790$	−11.2968	−	9.78873i	−0.401922	−	0.348267i
$791$	−3.26955	−	22.8533i	−0.116252	−	0.812571i
$792$	10.6919	−	4.88285i	0.379922	−	0.173504i
$793$	−1.17651	+	4.00682i	−0.0417790	+	0.142286i
$794$	−1.73328	+	5.90300i	−0.0615117	+	0.209490i
$795$	−6.51491	−	14.2657i	−0.231060	−	0.505951i
$796$	−2.39191	+	16.6361i	−0.0847791	+	0.589651i
$797$	33.0560	−	38.1486i	1.17090	−	1.35129i	0.246837	−	0.969057i	$-0.420609\pi$
$797$	33.0560	−	38.1486i	1.17090	−	1.35129i	0.924065	−	0.382236i	$-0.124846\pi$
$798$	2.47398	−	17.1221i	0.0875779	−	0.606117i
$799$	3.75980	−	5.85036i	0.133012	−	0.206971i
$800$	−1.34250	−	9.33732i	−0.0474647	−	0.330124i
$801$	−14.8627	+	9.55166i	−0.525147	+	0.337491i
$802$	−4.30123	+	3.72704i	−0.151882	+	0.131606i
$803$	22.0553	−	6.47603i	0.778316	−	0.228534i
$804$	6.19181			0.218368
$805$	−43.1621	+	21.4662i	−1.52126	+	0.756586i
$806$	4.14094			0.145858
$807$	5.68670	−	1.66977i	0.200181	−	0.0587785i
$808$	7.02655	−	6.08854i	0.247193	−	0.214194i
$809$	28.4118	−	18.2591i	0.998904	−	0.641957i	0.0644057	−	0.997924i	$-0.479485\pi$
$809$	28.4118	−	18.2591i	0.998904	−	0.641957i	0.934498	+	0.355967i	$0.115848\pi$
$810$	−0.600791	−	4.17859i	−0.0211096	−	0.146821i
$811$	−12.1156	+	18.8522i	−0.425435	+	0.661990i	−0.986119	−	0.166040i	$-0.946902\pi$
$811$	−12.1156	+	18.8522i	−0.425435	+	0.661990i	0.560684	+	0.828030i	$0.310538\pi$
$812$	−2.02692	−	0.292870i	−0.0711309	−	0.0102777i
$813$	1.95926	−	2.26111i	0.0687142	−	0.0793004i
$814$	−0.785019	+	5.45993i	−0.0275149	+	0.191370i
$815$	−28.5217	−	62.4538i	−0.999072	−	2.18766i
$816$	−1.79383	+	6.10922i	−0.0627965	+	0.213865i
$817$	−3.11995	+	10.6256i	−0.109153	+	0.371741i
$818$	6.72677	−	3.07201i	0.235196	−	0.107410i
$819$	−0.431394	−	3.01534i	−0.0150741	−	0.105364i
$820$	8.37471	+	7.25673i	0.292458	+	0.253416i
$821$	−15.2084	+	33.3018i	−0.530778	+	1.16224i	0.434417	+	0.900712i	$0.356954\pi$
$821$	−15.2084	+	33.3018i	−0.530778	+	1.16224i	−0.965195	+	0.261530i	$0.915773\pi$
$822$	−9.13961	−	5.87367i	−0.318781	−	0.204868i
$823$	−0.866322	−	6.02540i	−0.0301981	−	0.210032i	0.969136	−	0.246528i	$-0.0792897\pi$
$823$	−0.866322	−	6.02540i	−0.0301981	−	0.210032i	−0.999334	+	0.0364954i	$0.988381\pi$
$824$	0.214054	−	0.137564i	0.00745693	−	0.00479228i
$825$	35.7337	+	41.2389i	1.24409	+	1.43575i
$826$	−22.0162	+	14.1273i	−0.766042	+	0.491551i
$827$		−	29.6147i		−	1.02980i	−0.857249	−	0.514902i	$-0.827828\pi$
$827$		−	29.6147i		−	1.02980i	0.857249	−	0.514902i	$-0.172172\pi$
$828$	−6.08034	+	7.51621i	−0.211306	+	0.261206i
$829$		−	18.9070i		−	0.656667i	−0.944562	−	0.328333i	$-0.893513\pi$
$829$		−	18.9070i		−	0.656667i	0.944562	−	0.328333i	$-0.106487\pi$
$830$	−35.4873	+	10.4200i	−1.23178	+	0.361684i
$831$	−15.7318	+	13.6317i	−0.545731	+	0.472878i
$832$	−0.308772	−	0.480458i	−0.0107047	−	0.0166569i
$833$	29.3738	+	33.9948i	1.01774	+	1.17785i
$834$	−4.57736	−	2.94169i	−0.158501	−	0.101862i
$835$	−8.26386	−	3.77398i	−0.285983	−	0.130604i
$836$	−29.0453	−	25.1679i	−1.00455	−	0.870449i
$837$	−5.13447	+	35.7110i	−0.177473	+	1.23435i
$838$	−14.5008	−	31.7524i	−0.500923	−	1.09687i
$839$	8.34190	+	2.44940i	0.287995	+	0.0845628i	0.422539	−	0.906345i	$-0.361139\pi$
$839$	8.34190	+	2.44940i	0.287995	+	0.0845628i	−0.134545	+	0.990908i	$0.542957\pi$
$840$	9.97156	+	0.00695334i	0.344052	+	0.000239913i
$841$	−11.7981	−	25.8343i	−0.406832	−	0.890838i
$842$	27.5444	+	3.96028i	0.949241	+	0.136480i
$843$	−16.9360	+	19.5452i	−0.583307	+	0.673172i
$844$	3.94415	−	8.63648i	0.135763	−	0.297280i
$845$	40.5059	+	26.0315i	1.39344	+	0.895512i
$846$	−2.16201	+	0.310850i	−0.0743315	+	0.0106873i
$847$	45.9592	+	39.8801i	1.57918	+	1.37030i
$848$	−3.14478	+	2.72496i	−0.107992	+	0.0935756i
$849$	4.38990	+	14.9506i	0.150661	+	0.513104i
$850$	60.5450			2.07668
$851$	−1.42464	−	4.30744i	−0.0488362	−	0.147657i
$852$			9.37894i			0.321317i
$853$	7.81346	+	26.6102i	0.267528	+	0.911116i	0.978213	+	0.207605i	$0.0665669\pi$
$853$	7.81346	+	26.6102i	0.267528	+	0.911116i	−0.710685	+	0.703510i	$0.751615\pi$
$854$	−10.4703	+	16.2671i	−0.358285	+	0.556648i
$855$	−42.4652	+	27.2907i	−1.45228	+	0.933323i
$856$	4.61819	−	0.663995i	0.157846	−	0.0226949i
$857$	−1.99484	+	3.10403i	−0.0681425	+	0.106032i	−0.873653	−	0.486550i	$-0.838255\pi$
$857$	−1.99484	+	3.10403i	−0.0681425	+	0.106032i	0.805510	+	0.592582i	$0.201891\pi$
$858$	3.00510	+	1.37238i	0.102592	+	0.0468523i
$859$	−14.5879	−	12.6405i	−0.497732	−	0.431287i	0.369471	−	0.929242i	$-0.379539\pi$
$859$	−14.5879	−	12.6405i	−0.497732	−	0.431287i	−0.867203	+	0.497955i	$0.834084\pi$
$860$	−6.31809	−	0.908404i	−0.215445	−	0.0309763i
$861$	−5.78933	+	5.00942i	−0.197300	+	0.170721i
$862$	4.24009	−	14.4404i	0.144418	−	0.491842i
$863$	−25.9267	−	7.61276i	−0.882555	−	0.259141i	−0.191108	−	0.981569i	$-0.561208\pi$
$863$	−25.9267	−	7.61276i	−0.882555	−	0.259141i	−0.691447	+	0.722428i	$0.743026\pi$
$864$	4.52628	−	2.06708i	0.153987	−	0.0703235i
$865$	−81.0302	−	11.6504i	−2.75511	−	0.396125i
$866$	8.88798	−	10.2573i	0.302026	−	0.348556i
$867$	−21.8318	−	9.97027i	−0.741448	−	0.338608i
$868$	18.4023	+	5.41734i	0.624614	+	0.183877i
$869$	−3.26495	−	22.7083i	−0.110756	−	0.770325i
$870$	−1.57724	−	2.45423i	−0.0534734	−	0.0832062i
$871$	−2.33434	−	2.69398i	−0.0790962	−	0.0912819i
$872$	−3.71022	−	12.6359i	−0.125644	−	0.427904i
$873$	2.49403			0.0844100
$874$	30.6136	+	7.87513i	1.03552	+	0.266380i
$875$	−12.5247	−	42.7656i	−0.423413	−	1.44574i
$876$	3.75242	−	1.10181i	0.126783	−	0.0372267i
$877$	9.87263	+	11.3936i	0.333375	+	0.384735i	0.897545	−	0.440924i	$-0.145349\pi$
$877$	9.87263	+	11.3936i	0.333375	+	0.384735i	−0.564170	+	0.825659i	$0.690804\pi$
$878$	−12.4460	−	19.3664i	−0.420033	−	0.653585i
$879$	13.3919	−	1.92546i	0.451698	−	0.0649443i
$880$	11.9764	−	18.6356i	0.403723	−	0.628206i
$881$	−0.890992	+	1.95100i	−0.0300183	+	0.0657309i	−0.924047	−	0.382278i	$-0.875140\pi$
$881$	−0.890992	+	1.95100i	−0.0300183	+	0.0657309i	0.894029	+	0.448009i	$0.147867\pi$
$882$	2.02767	−	13.9645i	0.0682753	−	0.470209i
$883$	−6.57803	+	45.7512i	−0.221368	+	1.53965i	0.511502	+	0.859282i	$0.329089\pi$
$883$	−6.57803	+	45.7512i	−0.221368	+	1.53965i	−0.732870	+	0.680369i	$0.761820\pi$
$884$	3.33432	−	1.52273i	0.112145	−	0.0512151i
$885$	−35.7543	−	10.4984i	−1.20187	−	0.352900i
$886$	15.5244	+	4.55838i	0.521553	+	0.153142i
$887$	−9.96206	+	4.54952i	−0.334493	+	0.152758i	−0.575580	−	0.817746i	$-0.695224\pi$
$887$	−9.96206	+	4.54952i	−0.334493	+	0.152758i	0.241087	+	0.970504i	$0.422496\pi$
$888$	−0.133561	+	0.928934i	−0.00448200	+	0.0311730i
$889$	−39.9907	−	18.2969i	−1.34125	−	0.613657i
$890$	−13.8318	+	30.2873i	−0.463642	+	1.01523i
$891$	3.50293	−	5.45067i	0.117353	−	0.182604i
$892$	−11.6803	+	1.67937i	−0.391085	+	0.0562296i
$893$	3.86115	+	6.00807i	0.129208	+	0.201052i
$894$	6.74459	+	7.78367i	0.225573	+	0.260325i
$895$	3.84681	−	1.12952i	0.128585	−	0.0377559i
$896$	−0.743624	−	2.53910i	−0.0248427	−	0.0848253i
$897$	−2.71566	+	0.0918670i	−0.0906732	+	0.00306735i
$898$	−10.7599			−0.359063
$899$	−1.58118	−	5.38500i	−0.0527353	−	0.179600i
$900$	−12.4530	−	14.3715i	−0.415099	−	0.479049i
$901$	−14.4389	−	22.4673i	−0.481029	−	0.748495i
$902$	2.42042	+	16.8344i	0.0805913	+	0.560525i
$903$	1.24535	−	4.23037i	0.0414427	−	0.140778i
$904$	−7.93718	−	3.62479i	−0.263987	−	0.120559i
$905$	−56.8223	+	65.5765i	−1.88884	+	2.17984i
$906$	−4.24929	−	0.610955i	−0.141173	−	0.0202976i
$907$	31.5740	−	14.4194i	1.04840	−	0.478787i	0.184698	−	0.982795i	$-0.440869\pi$
$907$	31.5740	−	14.4194i	1.04840	−	0.478787i	0.863699	+	0.504008i	$0.168142\pi$
$908$	−4.66689	−	1.37032i	−0.154876	−	0.0454758i
$909$	5.28031	−	17.9831i	0.175137	−	0.596461i
$910$	−3.75630	−	4.34112i	−0.124520	−	0.143907i
$911$	−21.7467	−	3.12671i	−0.720502	−	0.103593i	−0.227697	−	0.973732i	$-0.573119\pi$
$911$	−21.7467	−	3.12671i	−0.720502	−	0.103593i	−0.492805	+	0.870140i	$0.664029\pi$
$912$	−4.94167	−	4.28198i	−0.163635	−	0.141790i
$913$	−51.6352	−	23.5810i	−1.70888	−	0.780418i
$914$	10.8574	−	16.8944i	0.359131	−	0.558819i
$915$	−27.2772	+	3.92187i	−0.901756	+	0.129653i
$916$	1.35547	−	0.871107i	0.0447860	−	0.0287822i
$917$	−46.7176	−	30.0697i	−1.54275	−	0.992987i
$918$	8.99757	+	30.6429i	0.296964	+	1.01137i
$919$		−	12.6873i		−	0.418515i	−0.977861	−	0.209257i	$-0.932895\pi$
$919$		−	12.6873i		−	0.418515i	0.977861	−	0.209257i	$-0.0671046\pi$
$920$	−1.98175	+	18.1119i	−0.0653365	+	0.597130i
$921$	−8.13756			−0.268142
$922$	−7.09654	−	24.1686i	−0.233712	−	0.795951i
$923$	4.08066	−	3.53591i	0.134316	−	0.116386i
$924$	11.5592	+	10.0302i	0.380270	+	0.329970i
$925$	8.83323	−	1.27003i	0.290435	−	0.0417582i
$926$	−4.39209	−	2.82263i	−0.144333	−	0.0927572i
$927$	0.213077	−	0.466574i	0.00699837	−	0.0153243i
$928$	−0.506901	+	0.584995i	−0.0166398	+	0.0192034i
$929$	−1.51838	−	0.218309i	−0.0498163	−	0.00716250i	0.117362	−	0.993089i	$-0.462556\pi$
$929$	−1.51838	−	0.218309i	−0.0498163	−	0.00716250i	−0.167178	+	0.985927i	$0.553465\pi$
$930$	11.3518	+	24.8571i	0.372242	+	0.815096i
$931$	−44.2876	+	12.9369i	−1.45147	+	0.423991i
$932$	11.7893	+	3.46165i	0.386172	+	0.113390i
$933$	6.74963	+	14.7796i	0.220973	+	0.483863i
$934$	−4.24747	+	29.5418i	−0.138981	+	0.966638i
$935$	107.450	+	93.1061i	3.51400	+	3.04490i
$936$	−1.04726	−	0.478266i	−0.0342306	−	0.0156326i
$937$	−28.7931	−	18.5042i	−0.940628	−	0.604505i	−0.0220552	−	0.999757i	$-0.507021\pi$
$937$	−28.7931	−	18.5042i	−0.940628	−	0.604505i	−0.918573	+	0.395252i	$0.870657\pi$
$938$	−6.84943	−	15.0259i	−0.223642	−	0.490612i
$939$	−12.4916	−	19.4373i	−0.407647	−	0.634311i
$940$	−3.11103	+	2.69572i	−0.101471	+	0.0879248i
$941$	−41.8146	+	12.2779i	−1.36312	+	0.400248i	−0.879861	−	0.475231i	$-0.842364\pi$
$941$	−41.8146	+	12.2779i	−1.36312	+	0.400248i	−0.483257	+	0.875479i	$0.660546\pi$
$942$			7.95120i			0.259064i
$943$	−7.95632	−	11.5055i	−0.259093	−	0.374670i
$944$			9.88718i			0.321800i
$945$	42.0949	−	27.0113i	1.36935	−	0.878677i
$946$	−6.41545	−	7.40383i	−0.208584	−	0.240719i
$947$	−38.4871	+	24.7341i	−1.25066	+	0.803751i	−0.986978	−	0.160858i	$-0.948574\pi$
$947$	−38.4871	+	24.7341i	−1.25066	+	0.803751i	−0.263684	+	0.964609i	$0.584938\pi$
$948$	−0.555488	−	3.86351i	−0.0180414	−	0.125481i
$949$	−1.89406	−	1.21724i	−0.0614839	−	0.0395133i
$950$	−25.8293	+	56.5583i	−0.838013	+	1.83499i
$951$	5.73669	+	4.97087i	0.186025	+	0.161191i
$952$	16.8098	−	2.40492i	0.544808	−	0.0779439i
$953$	−42.8097	+	19.5505i	−1.38674	+	0.633304i	−0.962260	−	0.272133i	$-0.912271\pi$
$953$	−42.8097	+	19.5505i	−1.38674	+	0.633304i	−0.424482	+	0.905437i	$0.639544\pi$
$954$	−2.36323	+	8.04844i	−0.0765125	+	0.260578i
$955$	−1.30412	+	4.44141i	−0.0422002	+	0.143721i
$956$	2.46764	+	5.40338i	0.0798092	+	0.174758i
$957$	0.637218	−	4.43195i	0.0205983	−	0.143265i
$958$	−17.1006	+	19.7352i	−0.552496	+	0.637614i
$959$	−4.14353	+	28.6769i	−0.133801	+	0.926025i
$960$	2.03762	−	3.17060i	0.0657639	−	0.102331i
$961$	3.06977	+	21.3507i	0.0990247	+	0.688732i
$962$	0.454520	−	0.292102i	0.0146543	−	0.00941775i
$963$	7.10805	−	6.15916i	0.229054	−	0.198476i
$964$	25.9258	−	7.61250i	0.835014	−	0.245182i
$965$	21.2924			0.685426
$966$	−12.1885	−	3.14448i	−0.392160	−	0.101172i
$967$	20.4326			0.657067			0.328534	−	0.944492i	$-0.393446\pi$
$967$	20.4326			0.657067			0.328534	+	0.944492i	$0.393446\pi$
$968$	22.0674	−	6.47956i	0.709272	−	0.208261i
$969$	31.7166	−	27.4826i	1.01888	−	0.882868i
$970$	3.95415	−	2.54118i	0.126960	−	0.0815924i
$971$	5.54064	+	38.5360i	0.177807	+	1.23668i	0.861822	+	0.507210i	$0.169323\pi$
$971$	5.54064	+	38.5360i	0.177807	+	1.23668i	−0.684015	+	0.729468i	$0.739768\pi$
$972$	8.66657	−	13.4854i	0.277980	−	0.432546i
$973$	−2.07519	+	14.3621i	−0.0665275	+	0.460429i
$974$	9.94517	−	11.4773i	0.318664	−	0.367758i
$975$	0.760634	−	5.29032i	0.0243598	−	0.169426i
$976$	3.03746	+	6.65111i	0.0972268	+	0.212897i
$977$	4.82438	−	16.4303i	0.154346	−	0.525653i	−0.845621	−	0.533783i	$-0.820770\pi$
$977$	4.82438	−	16.4303i	0.154346	−	0.525653i	0.999967	+	0.00813025i	$0.00258797\pi$
$978$	5.05101	−	17.2021i	0.161513	−	0.550064i
$979$	−46.4848	+	21.2289i	−1.48566	+	0.678478i
$980$	−11.0137	−	24.2060i	−0.351821	−	0.773233i
$981$	−20.0631	−	17.3848i	−0.640567	−	0.555054i
$982$	−11.8558	+	25.9607i	−0.378335	+	0.828438i
$983$	22.3471	+	14.3616i	0.712763	+	0.458065i	0.846113	−	0.533004i	$-0.178937\pi$
$983$	22.3471	+	14.3616i	0.712763	+	0.458065i	−0.133350	+	0.991069i	$0.542573\pi$
$984$	0.411803	+	2.86415i	0.0131278	+	0.0913059i
$985$	−24.5511	+	15.7780i	−0.782263	+	0.502730i
$986$	−3.25339	−	3.75461i	−0.103609	−	0.119571i
$987$	−1.53589	−	2.39356i	−0.0488879	−	0.0761879i
$988$			3.76438i			0.119761i
$989$	7.43849	+	3.09756i	0.236530	+	0.0984965i
$990$		−	44.6554i		−	1.41924i
$991$	−28.4608	+	8.35684i	−0.904087	+	0.265464i	−0.700550	−	0.713603i	$-0.747062\pi$
$991$	−28.4608	+	8.35684i	−0.904087	+	0.265464i	−0.203537	+	0.979067i	$0.565244\pi$
$992$	5.47959	−	4.74809i	0.173977	−	0.150752i
$993$	14.6739	+	22.8331i	0.465663	+	0.724586i
$994$	22.7602	−	10.3751i	0.721910	−	0.329077i
$995$	53.7162	+	34.5213i	1.70292	+	1.09440i
$996$	−8.78505	−	4.01200i	−0.278365	−	0.127125i
$997$	6.63334	+	5.74783i	0.210080	+	0.182035i	0.753545	−	0.657397i	$-0.228342\pi$
$997$	6.63334	+	5.74783i	0.210080	+	0.182035i	−0.543465	+	0.839432i	$0.682888\pi$
$998$	−4.48724	+	31.2094i	−0.142041	+	0.987917i
$999$	1.95549	+	4.28192i	0.0618688	+	0.135474i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	322.2.k.a.83.3	✓	80
7.6	odd	2	inner	322.2.k.a.83.6	yes	80
23.5	odd	22	inner	322.2.k.a.97.6	yes	80
161.97	even	22	inner	322.2.k.a.97.3	yes	80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
322.2.k.a.83.3	✓	80	1.1	even	1	trivial
322.2.k.a.83.6	yes	80	7.6	odd	2	inner
322.2.k.a.97.3	yes	80	161.97	even	22	inner
322.2.k.a.97.6	yes	80	23.5	odd	22	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 322 = 2 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	322.k (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.959493 + 0.281733i) q^{2} +(-0.749737 + 0.649651i) q^{3} +(0.841254 - 0.540641i) q^{4} +(-0.540672 - 3.76045i) q^{5} +(0.536339 - 0.834560i) q^{6} +(-2.61856 - 0.378356i) q^{7} +(-0.654861 + 0.755750i) q^{8} +(-0.286885 + 1.99533i) q^{9} +O(q^{10})\)	\(q+(-0.959493 + 0.281733i) q^{2} +(-0.749737 + 0.649651i) q^{3} +(0.841254 - 0.540641i) q^{4} +(-0.540672 - 3.76045i) q^{5} +(0.536339 - 0.834560i) q^{6} +(-2.61856 - 0.378356i) q^{7} +(-0.654861 + 0.755750i) q^{8} +(-0.286885 + 1.99533i) q^{9} +(1.57821 + 3.45580i) q^{10} +(-1.64274 + 5.59467i) q^{11} +(-0.279491 + 0.951859i) q^{12} +(0.519511 - 0.237253i) q^{13} +(2.61908 - 0.374703i) q^{14} +(2.84834 + 2.46810i) q^{15} +(0.415415 - 0.909632i) q^{16} +(5.39933 + 3.46994i) q^{17} +(-0.286885 - 1.99533i) q^{18} +(-5.54487 + 3.56347i) q^{19} +(-2.48790 - 2.87119i) q^{20} +(2.20903 - 1.41748i) q^{21} -5.83086i q^{22} +(2.13861 + 4.29259i) q^{23} -0.992044i q^{24} +(-9.05123 + 2.65768i) q^{25} +(-0.431625 + 0.374005i) q^{26} +(-2.69020 - 4.18603i) q^{27} +(-2.40743 + 1.09741i) q^{28} +(0.651180 + 0.418488i) q^{29} +(-3.42831 - 1.56566i) q^{30} +(-5.47959 - 4.74809i) q^{31} +(-0.142315 + 0.989821i) q^{32} +(-2.40296 - 5.26174i) q^{33} +(-6.15821 - 1.80821i) q^{34} +(-0.00700911 + 10.0515i) q^{35} +(0.837414 + 1.83368i) q^{36} +(-0.936384 - 0.134632i) q^{37} +(4.31632 - 4.98130i) q^{38} +(-0.235365 + 0.515378i) q^{39} +(3.19603 + 2.05396i) q^{40} +(-2.88712 + 0.415106i) q^{41} +(-1.72020 + 1.98242i) q^{42} +(1.26976 - 1.10026i) q^{43} +(1.64274 + 5.59467i) q^{44} +7.65846 q^{45} +(-3.26135 - 3.51619i) q^{46} -1.08354i q^{47} +(0.279491 + 0.951859i) q^{48} +(6.71369 + 1.98149i) q^{49} +(7.93583 - 5.10005i) q^{50} +(-6.30232 + 0.906137i) q^{51} +(0.308772 - 0.480458i) q^{52} +(-3.78510 - 1.72860i) q^{53} +(3.76057 + 3.25855i) q^{54} +(21.9267 + 3.15258i) q^{55} +(2.00073 - 1.73120i) q^{56} +(1.84218 - 6.27390i) q^{57} +(-0.742704 - 0.218078i) q^{58} +(-8.99370 + 4.10728i) q^{59} +(3.73054 + 0.536370i) q^{60} +(-4.78826 + 5.52594i) q^{61} +(6.59532 + 3.01198i) q^{62} +(1.50617 - 5.11634i) q^{63} +(-0.142315 - 0.989821i) q^{64} +(-1.17306 - 1.82532i) q^{65} +(3.78802 + 4.37161i) q^{66} +(-1.75843 - 5.98865i) q^{67} +6.41820 q^{68} +(-4.39208 - 1.82896i) q^{69} +(-2.82512 - 9.64635i) q^{70} +(9.07120 - 2.66355i) q^{71} +(-1.32010 - 1.52348i) q^{72} +(-2.13132 - 3.31639i) q^{73} +(0.936384 - 0.134632i) q^{74} +(5.05947 - 7.87269i) q^{75} +(-2.73808 + 5.99557i) q^{76} +(6.41840 - 14.0284i) q^{77} +(0.0806325 - 0.560811i) q^{78} +(-3.57898 + 1.63447i) q^{79} +(-3.64523 - 1.07034i) q^{80} +(-1.06618 - 0.313059i) q^{81} +(2.65323 - 1.21169i) q^{82} +(-1.38547 + 9.63617i) q^{83} +(1.09200 - 2.38675i) q^{84} +(10.1293 - 22.1800i) q^{85} +(-0.908352 + 1.41342i) q^{86} +(-0.760085 + 0.109284i) q^{87} +(-3.15240 - 4.90524i) q^{88} +(5.73933 + 6.62354i) q^{89} +(-7.34824 + 2.15764i) q^{90} +(-1.45014 + 0.424700i) q^{91} +(4.11987 + 2.45494i) q^{92} +7.19285 q^{93} +(0.305267 + 1.03964i) q^{94} +(16.3982 + 18.9246i) q^{95} +(-0.536339 - 0.834560i) q^{96} +(-0.176073 - 1.22462i) q^{97} +(-6.99999 - 0.00976244i) q^{98} +(-10.6919 - 4.88285i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q - 8 q^{2} - 8 q^{4} - 11 q^{7} - 8 q^{8} - 6 q^{9}+O(q^{10}) \) 80 * q - 8 * q^2 - 8 * q^4 - 11 * q^7 - 8 * q^8 - 6 * q^9	\( 80 q - 8 q^{2} - 8 q^{4} - 11 q^{7} - 8 q^{8} - 6 q^{9} + 11 q^{14} - 8 q^{16} - 6 q^{18} - 33 q^{21} + 18 q^{23} - 58 q^{25} - 11 q^{28} + 16 q^{29} + 22 q^{30} - 8 q^{32} + 47 q^{35} + 16 q^{36} - 22 q^{37} - 30 q^{39} - 22 q^{42} + 44 q^{43} - 4 q^{46} + 17 q^{49} + 8 q^{50} - 88 q^{51} + 44 q^{53} + 11 q^{56} - 22 q^{57} - 28 q^{58} + 121 q^{63} - 8 q^{64} - 154 q^{65} + 58 q^{70} + 42 q^{71} - 28 q^{72} + 22 q^{74} + 38 q^{77} + 58 q^{78} - 88 q^{79} - 26 q^{81} - 11 q^{84} + 26 q^{85} - 132 q^{86} + 22 q^{88} - 4 q^{92} + 152 q^{93} - 68 q^{95} - 27 q^{98} - 44 q^{99}+O(q^{100}) \) 80 * q - 8 * q^2 - 8 * q^4 - 11 * q^7 - 8 * q^8 - 6 * q^9 + 11 * q^14 - 8 * q^16 - 6 * q^18 - 33 * q^21 + 18 * q^23 - 58 * q^25 - 11 * q^28 + 16 * q^29 + 22 * q^30 - 8 * q^32 + 47 * q^35 + 16 * q^36 - 22 * q^37 - 30 * q^39 - 22 * q^42 + 44 * q^43 - 4 * q^46 + 17 * q^49 + 8 * q^50 - 88 * q^51 + 44 * q^53 + 11 * q^56 - 22 * q^57 - 28 * q^58 + 121 * q^63 - 8 * q^64 - 154 * q^65 + 58 * q^70 + 42 * q^71 - 28 * q^72 + 22 * q^74 + 38 * q^77 + 58 * q^78 - 88 * q^79 - 26 * q^81 - 11 * q^84 + 26 * q^85 - 132 * q^86 + 22 * q^88 - 4 * q^92 + 152 * q^93 - 68 * q^95 - 27 * q^98 - 44 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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