LMFDB - Embedded newform 322.2.k.a.97.6

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			97.6
Character	$\chi$	$=$	322.97
Dual form			322.2.k.a.83.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.959493 - 0.281733i) q^{2} +(0.749737 + 0.649651i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.540672 - 3.76045i) q^{5} +(-0.536339 - 0.834560i) q^{6} +(-2.00073 + 1.73120i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(-0.286885 - 1.99533i) q^{9} +O(q^{10})$	\(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} +(-2.00073 + 1.73120i) 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} +(2.40743 - 1.09741i) 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} +(-2.62470 - 0.00183025i) 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} +(-2.61908 + 0.374703i) 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} +(5.42837 + 8.45968i) 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} +(2.51787 + 0.741220i) 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} +(1.00587 - 6.92735i) 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} +(2.61856 + 0.378356i) 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} +(4.02830 + 3.49547i) 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} +(12.9722 + 8.34952i) 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} +(-2.20705 - 1.42056i) 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} +(-2.91678 + 6.36336i) 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 $\left(\mathbb{Z}/322\mathbb{Z}\right)^\times$.

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

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	$-0.180276\pi$
$3$	0.749737	+	0.649651i	0.432861	+	0.375076i	−0.411003	+	0.911634i	$0.634821\pi$
$4$	0.841254	+	0.540641i	0.420627	+	0.270320i
$5$	0.540672	−	3.76045i	0.241796	−	1.68173i	−0.401305	−	0.915945i	$-0.631443\pi$
$5$	0.540672	−	3.76045i	0.241796	−	1.68173i	0.643101	−	0.765782i	$-0.277648\pi$
$6$	−0.536339	−	0.834560i	−0.218960	−	0.340708i
$7$	−2.00073	+	1.73120i	−0.756206	+	0.654334i
$7$	−2.00073	+	1.73120i	−0.756206	+	0.654334i
$8$	−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	−0.705097	−	0.709111i	$-0.749096\pi$
$11$	−1.64274	−	5.59467i	−0.495306	−	1.68686i	0.209791	−	0.977746i	$-0.432722\pi$
$12$	0.279491	+	0.951859i	0.0806821	+	0.274778i
$13$	−0.519511	−	0.237253i	−0.144086	−	0.0658021i	0.342067	−	0.939676i	$-0.388873\pi$
$13$	−0.519511	−	0.237253i	−0.144086	−	0.0658021i	−0.486153	+	0.873874i	$0.661600\pi$
$14$	2.40743	−	1.09741i	0.643412	−	0.293294i
$15$	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	$-0.965746\pi$
$17$	−5.39933	+	3.46994i	−1.30953	+	0.841584i	−0.315314	+	0.948987i	$0.602110\pi$
$18$	−0.286885	+	1.99533i	−0.0676195	+	0.470304i
$19$	5.54487	+	3.56347i	1.27208	+	0.817517i	0.989889	−	0.141841i	$-0.0453022\pi$
$19$	5.54487	+	3.56347i	1.27208	+	0.817517i	0.282192	+	0.959358i	$0.408939\pi$
$20$	2.48790	−	2.87119i	0.556311	−	0.642017i
$21$	−2.62470	−	0.00183025i	−0.572757	−	0.000399393i
$22$			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
$28$	−2.61908	+	0.374703i	−0.494960	+	0.0708123i
$29$	0.651180	−	0.418488i	0.120921	−	0.0777113i	−0.478782	−	0.877934i	$-0.658922\pi$
$29$	0.651180	−	0.418488i	0.120921	−	0.0777113i	0.599703	+	0.800222i	$0.295285\pi$
$30$	−3.42831	+	1.56566i	−0.625921	+	0.285848i
$31$	5.47959	−	4.74809i	0.984163	−	0.852782i	−0.00494283	−	0.999988i	$-0.501573\pi$
$31$	5.47959	−	4.74809i	0.984163	−	0.852782i	0.989106	+	0.147206i	$0.0470279\pi$
$32$	−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
$35$	5.42837	+	8.45968i	0.917563	+	1.42995i
$36$	0.837414	−	1.83368i	0.139569	−	0.305613i
$37$	−0.936384	+	0.134632i	−0.153941	+	0.0221333i	−0.218854	−	0.975758i	$-0.570232\pi$
$37$	−0.936384	+	0.134632i	−0.153941	+	0.0221333i	0.0649136	+	0.997891i	$0.479323\pi$
$38$	−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	$-0.381404\pi$
$41$	2.88712	+	0.415106i	0.450893	+	0.0648286i	0.0868722	+	0.996219i	$0.472313\pi$
$42$	2.51787	+	0.741220i	0.388515	+	0.114373i
$43$	1.26976	+	1.10026i	0.193637	+	0.167788i	0.746283	−	0.665628i	$-0.231836\pi$
$43$	1.26976	+	1.10026i	0.193637	+	0.167788i	−0.552646	+	0.833416i	$0.686382\pi$
$44$	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
$49$	1.00587	−	6.92735i	0.143695	−	0.989622i
$50$	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	−0.658051	−	0.752973i	$-0.728619\pi$
$53$	−3.78510	+	1.72860i	−0.519924	+	0.237441i	0.138127	+	0.990414i	$0.455892\pi$
$54$	−3.76057	+	3.25855i	−0.511748	+	0.443432i
$55$	−21.9267	+	3.15258i	−2.95660	+	0.425094i
$56$	2.61856	+	0.378356i	0.349920	+	0.0505599i
$57$	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	$-0.141076\pi$
$59$	8.99370	+	4.10728i	1.17088	+	0.534723i	0.267497	+	0.963559i	$0.413803\pi$
$60$	3.73054	−	0.536370i	0.481610	−	0.0692451i
$61$	4.78826	+	5.52594i	0.613074	+	0.707525i	0.974376	−	0.224924i	$-0.0722134\pi$
$61$	4.78826	+	5.52594i	0.613074	+	0.707525i	−0.361303	+	0.932449i	$0.617668\pi$
$62$	−6.59532	+	3.01198i	−0.837606	+	0.382522i
$63$	4.02830	+	3.49547i	0.507519	+	0.440387i
$64$	−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	0.779608	+	0.626268i	$0.215418\pi$
$67$	−1.75843	+	5.98865i	−0.214826	+	0.731630i	−0.994434	+	0.105362i	$0.966400\pi$
$68$	−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	0.771499	−	0.636230i	$-0.219507\pi$
$71$	9.07120	+	2.66355i	1.07655	+	0.316105i	0.305054	+	0.952335i	$0.401325\pi$
$72$	−1.32010	+	1.52348i	−0.155575	+	0.179543i
$73$	2.13132	−	3.31639i	0.249452	−	0.388154i	−0.693835	−	0.720134i	$-0.744080\pi$
$73$	2.13132	−	3.31639i	0.249452	−	0.388154i	0.943286	+	0.331980i	$0.107717\pi$
$74$	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
$77$	12.9722	+	8.34952i	1.47832	+	0.951516i
$78$	0.0806325	+	0.560811i	0.00912983	+	0.0634994i
$79$	−3.57898	−	1.63447i	−0.402667	−	0.183892i	0.203778	−	0.979017i	$-0.434678\pi$
$79$	−3.57898	−	1.63447i	−0.402667	−	0.183892i	−0.606445	+	0.795125i	$0.707405\pi$
$80$	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	0.912734	+	0.408555i	$0.133967\pi$
$83$	1.38547	+	9.63617i	0.152075	+	1.05771i	−0.760659	+	0.649152i	$0.775124\pi$
$84$	−2.20705	−	1.42056i	−0.240809	−	0.154996i
$85$	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	$-0.926494\pi$
$89$	−5.73933	+	6.62354i	−0.608368	+	0.702094i	0.365087	+	0.930973i	$0.381039\pi$
$90$	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	$-0.934539\pi$
$97$	0.176073	−	1.22462i	0.0178775	−	0.124341i	0.996806	+	0.0798634i	$0.0254484\pi$
$98$	−2.91678	+	6.36336i	−0.294640	+	0.642797i
$99$	−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	$-0.392383\pi$
$101$	9.20282	−	1.32317i	0.915715	−	0.131660i	0.584032	+	0.811731i	$0.301474\pi$
$102$	5.79175	+	2.64500i	0.573468	+	0.261894i
$103$	0.244140	−	0.0716859i	0.0240558	−	0.00706342i	−0.269683	−	0.962949i	$-0.586919\pi$
$103$	0.244140	−	0.0716859i	0.0240558	−	0.00706342i	0.293738	+	0.955886i	$0.405101\pi$
$104$	0.160904	+	0.547988i	0.0157779	+	0.0537346i
$105$	−1.42598	+	9.86908i	−0.139162	+	0.963123i
$106$	4.11878	−	0.592191i	0.400051	−	0.0575187i
$107$	−3.52608	+	3.05537i	−0.340879	+	0.295374i	−0.808430	−	0.588593i	$-0.799682\pi$
$107$	−3.52608	+	3.05537i	−0.340879	+	0.295374i	0.467550	+	0.883966i	$0.345137\pi$
$108$	4.52628	−	2.06708i	0.435541	−	0.198905i
$109$	−7.11987	−	11.0787i	−0.681959	−	1.06115i	−0.993818	−	0.111021i	$-0.964588\pi$
$109$	−7.11987	−	11.0787i	−0.681959	−	1.06115i	0.311859	−	0.950129i	$-0.399048\pi$
$110$	21.9267	+	3.15258i	2.09063	+	0.300587i
$111$	−0.789505	−	0.507384i	−0.0749365	−	0.0481588i
$112$	−2.40589	−	1.10076i	−0.227336	−	0.104012i
$113$	2.45831	−	8.37225i	0.231259	−	0.787595i	−0.759328	−	0.650708i	$-0.774472\pi$
$113$	2.45831	−	8.37225i	0.231259	−	0.787595i	0.990587	−	0.136887i	$-0.0437097\pi$
$114$		−	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
$119$	4.79545	−	16.2898i	0.439598	−	1.49328i
$120$	−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
$126$	−2.88034	−	4.48878i	−0.256601	−	0.399892i
$127$	15.9487	−	4.68295i	1.41522	−	0.415545i	0.517335	−	0.855783i	$-0.326924\pi$
$127$	15.9487	−	4.68295i	1.41522	−	0.415545i	0.897881	+	0.440238i	$0.145106\pi$
$128$	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	−0.669078	+	0.743192i	$0.733311\pi$
$131$	−19.1014	+	8.72332i	−1.66890	+	0.762160i	−0.999820	+	0.0189678i	$0.993962\pi$
$132$	4.86621	−	3.12732i	0.423549	−	0.272198i
$133$	−17.2629	+	2.46975i	−1.49688	+	0.214154i
$134$	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	$0.154961\pi$
$137$			10.9514i			0.935642i	−0.883823	+	0.467821i	$0.845039\pi$
$138$	−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	$-0.0747251\pi$
$140$	−0.00700911	+	10.0515i	−0.000592378	+	0.849510i
$141$	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
$147$	5.25449	−	4.54023i	0.433383	−	0.374472i
$148$	−0.860524	−	0.392988i	−0.0707346	−	0.0323034i
$149$	−2.92491	−	9.96133i	−0.239618	−	0.816064i	−0.988219	−	0.153044i	$-0.951092\pi$
$149$	−2.92491	−	9.96133i	−0.239618	−	0.816064i	0.748601	−	0.663020i	$-0.230726\pi$
$150$	2.63653	+	8.97921i	0.215272	+	0.733150i
$151$	−1.79767	+	3.93635i	−0.146293	+	0.320336i	−0.968566	−	0.248757i	$-0.919978\pi$
$151$	−1.79767	+	3.93635i	−0.146293	+	0.320336i	0.822274	+	0.569092i	$0.192705\pi$
$152$	−0.938026	−	6.52411i	−0.0760840	−	0.529176i
$153$	8.47266	+	9.77797i	0.684974	+	0.790502i
$154$	−10.0944	−	11.6660i	−0.813431	−	0.940073i
$155$	−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	$-0.214555\pi$
$157$	6.74262	+	4.33322i	0.538120	+	0.345828i	−0.243183	+	0.969980i	$0.578192\pi$
$158$	2.97353	+	2.57658i	0.236561	+	0.204981i
$159$	−3.96081	−	1.16300i	−0.314113	−	0.0922319i
$160$	−3.79912			−0.300347
$161$	3.15256	+	12.2907i	0.248456	+	0.968643i
$162$	1.11119			0.0873036
$163$	17.3401	+	5.09151i	1.35818	+	0.398798i	0.878122	−	0.478437i	$-0.158797\pi$
$163$	17.3401	+	5.09151i	1.35818	+	0.398798i	0.480060	+	0.877235i	$0.340615\pi$
$164$	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	$-0.211311\pi$
$167$	−1.29283	−	2.01169i	−0.100042	−	0.155669i	−0.887666	+	0.460487i	$0.847675\pi$
$168$	1.71743	+	1.98482i	0.132503	+	0.153132i
$169$	−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	−0.781146	−	0.624348i	$-0.785365\pi$
$173$	−6.07077	−	20.6751i	−0.461552	−	1.57190i	0.319594	−	0.947555i	$-0.396453\pi$
$174$	−0.698507	−	0.318998i	−0.0529537	−	0.0241831i
$175$	22.7101	−	10.3522i	1.71672	−	0.782553i
$176$	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	−0.983439	−	0.181241i	$-0.941989\pi$
$179$	0.150185	−	1.04456i	0.0112253	−	0.0780739i	0.994664	+	0.103167i	$0.0328977\pi$
$180$	−6.44271	−	4.14048i	−0.480211	−	0.308613i
$181$	14.9567	−	17.2609i	1.11172	−	1.28300i	0.156314	−	0.987707i	$-0.450039\pi$
$181$	14.9567	−	17.2609i	1.11172	−	1.28300i	0.955408	−	0.295288i	$-0.0954157\pi$
$182$	−1.51105	−	0.00105368i	−0.112006	−	7.81039e-5i
$183$			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
$189$	1.86450	+	13.0324i	0.135623	+	0.947968i
$190$	−21.0657	+	13.5381i	−1.52826	+	0.982155i
$191$	−1.10831	+	0.506148i	−0.0801945	+	0.0366236i	−0.455108	−	0.890436i	$-0.650400\pi$
$191$	−1.10831	+	0.506148i	−0.0801945	+	0.0366236i	0.374914	+	0.927060i	$0.377672\pi$
$192$	−0.749737	+	0.649651i	−0.0541076	+	0.0468845i
$193$	−0.797611	−	5.54751i	−0.0574133	−	0.399318i	−0.998182	−	0.0602696i	$-0.980804\pi$
$193$	−0.797611	−	5.54751i	−0.0574133	−	0.399318i	0.940769	−	0.339049i	$-0.110105\pi$
$194$	−0.513955	+	1.12541i	−0.0368999	+	0.0807994i
$195$	−2.06531	+	0.606429i	−0.147900	+	0.0434273i
$196$	4.59140	−	5.28385i	0.327957	−	0.377418i
$197$	−3.19112	+	6.98757i	−0.227358	+	0.497844i	−0.988589	−	0.150636i	$-0.951868\pi$
$197$	−3.19112	+	6.98757i	−0.227358	+	0.497844i	0.761231	+	0.648480i	$0.224595\pi$
$198$	11.6345	−	1.67279i	0.826828	−	0.118880i
$199$	11.0064	+	12.7020i	0.780220	+	0.900422i	0.997125	−	0.0757703i	$-0.0241416\pi$
$199$	11.0064	+	12.7020i	0.780220	+	0.900422i	−0.216905	+	0.976193i	$0.569596\pi$
$200$	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
$203$	−0.578349	+	1.96461i	−0.0405922	+	0.137888i
$204$	−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
$210$	4.14866	−	9.06756i	0.286285	−	0.625721i
$211$	7.98726	+	5.13310i	0.549866	+	0.353377i	0.785887	−	0.618371i	$-0.212207\pi$
$211$	7.98726	+	5.13310i	0.549866	+	0.353377i	−0.236021	+	0.971748i	$0.575843\pi$
$212$	−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
$217$	−2.74328	+	18.9859i	−0.186226	+	1.28885i
$218$	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	$-0.507071\pi$
$223$	10.7340	−	4.90207i	0.718804	−	0.328267i	0.741017	+	0.671487i	$0.234344\pi$
$224$	1.99832	+	1.73399i	0.133518	+	0.115857i
$225$	−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	$-0.721122\pi$
$227$	3.18519	−	3.67590i	0.211408	−	0.243978i	0.851543	+	0.524284i	$0.175667\pi$
$228$	−1.84218	+	6.27390i	−0.122002	+	0.415499i
$229$	−1.61125			−0.106474			−0.0532372	−	0.998582i	$-0.516954\pi$
$229$	−1.61125			−0.106474			−0.0532372	+	0.998582i	$0.516954\pi$
$230$	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	−0.428272	−	0.903650i	$-0.640877\pi$
$233$	8.04628	−	9.28591i	0.527130	−	0.608340i	0.955402	+	0.295310i	$0.0954229\pi$
$234$	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
$238$	−9.19055	+	14.2789i	−0.595735	+	0.925562i
$239$	−0.845376	−	5.87972i	−0.0546828	−	0.380327i	−0.998724	−	0.0504999i	$-0.983919\pi$
$239$	−0.845376	−	5.87972i	−0.0546828	−	0.380327i	0.944041	−	0.329827i	$-0.106991\pi$
$240$	3.42831	+	1.56566i	0.221296	+	0.101063i
$241$	−25.9258	+	7.61250i	−1.67003	+	0.490364i	−0.973790	−	0.227447i	$-0.926962\pi$
$241$	−25.9258	+	7.61250i	−1.67003	+	0.490364i	−0.696237	+	0.717812i	$0.745144\pi$
$242$	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
$245$	−25.5062	−	7.52794i	−1.62953	−	0.480942i
$246$	−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	$-0.390332\pi$
$251$	1.79068	+	0.525792i	0.113027	+	0.0331877i	−0.224730	+	0.974421i	$0.572150\pi$
$252$	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	0.108855	+	0.994058i	$0.465282\pi$
$257$	−13.4757	+	20.9686i	−0.840592	+	1.30799i	−0.949447	+	0.313929i	$0.898355\pi$
$258$	0.237206	−	1.64981i	0.0147678	−	0.102712i
$259$	1.64038	−	1.89043i	0.101928	−	0.117466i
$260$	−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	0.435924	−	0.899984i	$-0.356422\pi$
$263$	0.668651	+	0.305362i	0.0412308	+	0.0188295i	−0.394693	+	0.918813i	$0.629149\pi$
$264$	−5.55016	+	1.62967i	−0.341589	+	0.100300i
$265$	4.45382	+	15.1683i	0.273596	+	0.931781i
$266$	17.2594	+	2.49382i	1.05824	+	0.152906i
$267$	−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	$-0.578064\pi$
$269$	5.43442	−	2.48182i	0.331342	−	0.151319i	0.574138	+	0.818758i	$0.305337\pi$
$270$	10.2204	+	15.9032i	0.621993	+	0.967841i
$271$	2.98517	+	0.429202i	0.181336	+	0.0260722i	0.232385	−	0.972624i	$-0.425347\pi$
$271$	2.98517	+	0.429202i	0.181336	+	0.0260722i	−0.0510485	+	0.998696i	$0.516256\pi$
$272$	−5.39933	−	3.46994i	−0.327382	−	0.210396i
$273$	1.36313	+	0.623668i	0.0825002	+	0.0377461i
$274$	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
$280$	2.83857	−	9.64240i	0.169637	−	0.576244i
$281$	25.8041	+	3.71006i	1.53934	+	0.221324i	0.859155	−	0.511716i	$-0.170990\pi$
$281$	25.8041	+	3.71006i	1.53934	+	0.221324i	0.680186	+	0.733039i	$0.261899\pi$
$282$	−0.904276	+	0.581143i	−0.0538488	+	0.0346065i
$283$	−6.52483	−	14.2874i	−0.387861	−	0.849297i	−0.998358	−	0.0572784i	$-0.981758\pi$
$283$	−6.52483	−	14.2874i	−0.387861	−	0.849297i	0.610498	−	0.792018i	$-0.290970\pi$
$284$	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
$287$	−6.49500	+	4.16768i	−0.383387	+	0.246011i
$288$	−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	$-0.551393\pi$
$293$	11.4731	−	7.37332i	0.670267	−	0.430754i	0.831022	+	0.556240i	$0.187757\pi$
$294$	−6.32078	+	2.87596i	−0.368635	+	0.167729i
$295$	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
$301$	−4.44523	−	0.00309974i	−0.256219	−	0.000178666i
$302$	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	$-0.802480\pi$
$307$	−6.19928	+	5.37171i	−0.353812	+	0.306579i	0.459761	+	0.888043i	$0.347935\pi$
$308$	6.39883	+	14.0374i	0.364607	+	0.799854i
$309$	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	−0.980597	−	0.196037i	$-0.937193\pi$
$311$	−4.61428	−	15.7148i	−0.261652	−	0.891104i	0.718945	−	0.695067i	$-0.244625\pi$
$312$	−0.235365	+	0.515378i	−0.0133249	+	0.0291775i
$313$	3.31457	+	23.0533i	0.187351	+	1.30305i	0.838833	+	0.544388i	$0.183238\pi$
$313$	3.31457	+	23.0533i	0.187351	+	1.30305i	−0.651483	+	0.758664i	$0.725853\pi$
$314$	−5.24869	−	6.05731i	−0.296201	−	0.341834i
$315$	15.3225	−	13.2584i	0.863327	−	0.747024i
$316$	−2.12717	−	3.30995i	−0.119663	−	0.186199i
$317$	−1.08894	+	7.57372i	−0.0611608	+	0.425383i	0.936120	+	0.351682i	$0.114390\pi$
$317$	−1.08894	+	7.57372i	−0.0611608	+	0.425383i	−0.997280	+	0.0737008i	$0.976519\pi$
$318$	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
$322$	0.437835	−	12.6810i	0.0243996	−	0.706686i
$323$	−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
$329$	1.87582	+	2.16786i	0.103417	+	0.119518i
$330$	14.3912	+	16.6083i	0.792208	+	0.914257i
$331$	3.89365	+	27.0809i	0.214014	+	1.48850i	0.759569	+	0.650427i	$0.225410\pi$
$331$	3.89365	+	27.0809i	0.214014	+	1.48850i	−0.545554	+	0.838075i	$0.683681\pi$
$332$	−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
$336$	−1.08868	−	2.38827i	−0.0593921	−	0.130291i
$337$	1.33812	−	1.15949i	0.0728921	−	0.0631614i	−0.617653	−	0.786451i	$-0.711916\pi$
$337$	1.33812	−	1.15949i	0.0728921	−	0.0631614i	0.690545	+	0.723290i	$0.257371\pi$
$338$	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
$343$	9.98019	+	15.6011i	0.538880	+	0.842383i
$344$		−	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	−0.549401	−	0.835559i	$-0.685144\pi$
$347$	−27.2587	−	8.00388i	−1.46332	−	0.429671i	−0.913923	+	0.405888i	$0.866962\pi$
$348$	0.580341	+	0.502868i	0.0311095	+	0.0269566i
$349$	−10.4042	+	16.1893i	−0.556926	+	0.866593i	−0.999546	−	0.0301158i	$-0.990412\pi$
$349$	−10.4042	+	16.1893i	−0.556926	+	0.866593i	0.442621	+	0.896709i	$0.354049\pi$
$350$	−24.7067	+	3.53471i	−1.32063	+	0.188938i
$351$	−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	$-0.815017\pi$
$353$	−7.72950	+	6.69765i	−0.411400	+	0.356480i	0.424437	+	0.905457i	$0.360472\pi$
$354$	−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
$357$	14.1780	−	9.09767i	0.750378	−	0.481500i
$358$	−0.438387	+	0.959933i	−0.0231695	+	0.0507340i
$359$	14.4707	−	2.08058i	0.763737	−	0.109809i	0.250571	−	0.968098i	$-0.419382\pi$
$359$	14.4707	−	2.08058i	0.763737	−	0.109809i	0.513166	+	0.858290i	$0.328473\pi$
$360$	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
$364$	1.44954	+	0.426722i	0.0759766	+	0.0223663i
$365$	−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	$-0.475436\pi$
$367$	2.95380			0.154187			0.0770936	+	0.997024i	$0.475436\pi$
$368$	4.79309	+	0.162144i	0.249857	+	0.00845232i
$369$		−	5.87985i		−	0.306093i
$370$	1.01255	−	3.44844i	0.0526401	−	0.179276i
$371$	4.58042	−	10.0112i	0.237804	−	0.519758i
$372$	6.05101	+	3.88875i	0.313730	+	0.201622i
$373$	4.51001	+	0.648442i	0.233519	+	0.0335750i	0.258081	−	0.966123i	$-0.416910\pi$
$373$	4.51001	+	0.648442i	0.233519	+	0.0335750i	−0.0245615	+	0.999698i	$0.507819\pi$
$374$	−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
$378$	1.88268	−	13.0298i	0.0968344	−	0.670180i
$379$	−7.67694	−	26.1453i	−0.394338	−	1.34299i	−0.882530	−	0.470256i	$-0.844162\pi$
$379$	−7.67694	−	26.1453i	−0.394338	−	1.34299i	0.488192	−	0.872736i	$-0.337657\pi$
$380$	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	0.999999	+	0.00135042i	$0.000429851\pi$
$383$	16.8114	+	19.4014i	0.859021	+	0.991363i	−0.140978	+	0.990013i	$0.545025\pi$
$384$	0.902395	−	0.412110i	0.0460501	−	0.0210304i
$385$	38.4117	−	44.2671i	1.95764	−	2.25606i
$386$	−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	−0.0976123	−	0.995225i	$-0.531121\pi$
$389$	10.3066	−	35.1009i	0.522563	−	1.77969i	0.620176	−	0.784463i	$-0.287061\pi$
$390$	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	$-0.231158\pi$
$397$	−3.32613	−	5.17556i	−0.166934	−	0.259754i	−0.914634	+	0.404282i	$0.867521\pi$
$398$	−6.98196	−	15.2884i	−0.349974	−	0.766336i
$399$	−14.5471	−	9.36320i	−0.728266	−	0.468746i
$400$	−1.34250	−	9.33732i	−0.0671252	−	0.466866i
$401$	5.17703	+	2.36427i	0.258528	+	0.118066i	0.540463	−	0.841368i	$-0.318249\pi$
$401$	5.17703	+	2.36427i	0.258528	+	0.118066i	−0.281935	+	0.959434i	$0.590976\pi$
$402$	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
$406$	1.10842	−	1.72209i	0.0550098	−	0.0854658i
$407$	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	$-0.396019\pi$
$409$	7.31977	+	1.05242i	0.361940	+	0.0520390i	0.0410537	+	0.999157i	$0.486929\pi$
$410$	−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	0.395810	+	0.918332i	$0.370464\pi$
$419$	−4.96776	+	34.5515i	−0.242691	+	1.68795i	−0.638501	+	0.769621i	$0.720445\pi$
$420$	−6.53524	+	7.53145i	−0.318887	+	0.367497i
$421$	−25.3129	+	11.5600i	−1.23367	+	0.563400i	−0.922148	−	0.386838i	$-0.873567\pi$
$421$	−25.3129	+	11.5600i	−1.23367	+	0.563400i	−0.311526	+	0.950238i	$0.600840\pi$
$422$	−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
$427$	−19.1466	−	2.76649i	−0.926567	−	0.133880i
$428$	−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	0.588081	−	0.808802i	$-0.299884\pi$
$431$	−8.13667	−	12.6609i	−0.391929	−	0.609854i	−0.980010	+	0.198948i	$0.936247\pi$
$432$	4.92529	+	0.708150i	0.236968	+	0.0340709i
$433$	11.4178	+	7.33775i	0.548702	+	0.352630i	0.785434	−	0.618945i	$-0.212440\pi$
$433$	11.4178	+	7.33775i	0.548702	+	0.352630i	−0.236732	+	0.971575i	$0.576076\pi$
$434$	7.98112	−	17.4440i	0.383106	−	0.837339i
$435$	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	0.646963	+	0.762522i	$0.276039\pi$
$439$	−6.48573	+	22.0884i	−0.309547	+	1.05422i	−0.956510	+	0.291699i	$0.905779\pi$
$440$	16.7415	+	14.5066i	0.798120	+	0.691575i
$441$	−14.1109	−	0.0196796i	−0.671949	−	0.000937124i
$442$	−3.62826	−	0.521665i	−0.172579	−	0.0248131i
$443$	−13.6113	+	8.74747i	−0.646694	+	0.415605i	−0.822457	−	0.568828i	$-0.807397\pi$
$443$	−13.6113	+	8.74747i	−0.646694	+	0.415605i	0.175763	+	0.984432i	$0.443761\pi$
$444$	−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
$448$	−1.42885	−	2.22674i	−0.0675068	−	0.105204i
$449$	10.3241	−	3.03142i	0.487223	−	0.143061i	−0.0288893	−	0.999583i	$-0.509197\pi$
$449$	10.3241	−	3.03142i	0.487223	−	0.143061i	0.516112	+	0.856521i	$0.327379\pi$
$450$	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
$455$	−0.813018	−	5.68279i	−0.0381149	−	0.266413i
$456$	3.53512	−	5.50076i	0.165547	−	0.257597i
$457$	−15.1773	−	13.1512i	−0.709965	−	0.615188i	0.223142	−	0.974786i	$-0.428368\pi$
$457$	−15.1773	−	13.1512i	−0.709965	−	0.615188i	−0.933107	+	0.359598i	$0.882914\pi$
$458$	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	$0.800473\pi$
$462$	0.0106719	−	15.3043i	0.000496503	−	0.712019i
$463$	3.41896	−	3.94568i	0.158892	−	0.183372i	−0.670721	−	0.741710i	$-0.734015\pi$
$463$	3.41896	−	3.94568i	0.158892	−	0.183372i	0.829614	+	0.558338i	$0.188561\pi$
$464$	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	−0.944790	−	0.327676i	$-0.893735\pi$
$467$	−12.3983	−	27.1485i	−0.573725	−	1.25628i	0.371065	−	0.928607i	$-0.378993\pi$
$468$	−0.870091	+	0.753938i	−0.0402200	+	0.0348508i
$469$	−6.84943	−	15.0259i	−0.316277	−	0.693831i
$470$	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
$476$	12.8411	−	11.1112i	0.588571	−	0.509281i
$477$	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	$-0.521654\pi$
$479$	−21.9680	−	14.1180i	−1.00374	−	0.645066i	−0.935766	+	0.352621i	$0.885290\pi$
$480$	−2.84834	−	2.46810i	−0.130008	−	0.112653i
$481$	0.518403	+	0.152217i	0.0236372	+	0.00694050i
$482$	27.0203			1.23074
$483$	−5.62107	+	11.2629i	−0.255768	+	0.512478i
$484$	−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	0.218163	−	0.975912i	$-0.429993\pi$
$487$	−12.7759	−	8.21055i	−0.578929	−	0.372055i	−0.797093	+	0.603857i	$0.793630\pi$
$488$	1.04059	−	7.23745i	0.0471052	−	0.327624i
$489$	9.69281	+	15.0823i	0.438324	+	0.682045i
$490$	22.3521	+	14.4089i	1.00977	+	0.650929i
$491$	18.6896	+	21.5689i	0.843448	+	0.973391i	0.999898	−	0.0142950i	$-0.00455041\pi$
$491$	18.6896	+	21.5689i	0.843448	+	0.973391i	−0.156450	+	0.987686i	$0.550005\pi$
$492$	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
$497$	−22.7602	+	10.3751i	−1.02093	+	0.465385i
$498$	7.29888	−	6.32452i	0.327071	−	0.283408i
$499$	13.0982	+	28.6810i	0.586355	+	1.28394i	0.937620	+	0.347662i	$0.113024\pi$
$499$	13.0982	+	28.6810i	0.586355	+	1.28394i	−0.351265	+	0.936276i	$0.614248\pi$
$500$	−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	$-0.640736\pi$
$503$	11.8342	−	13.6574i	0.527661	−	0.608953i	0.955532	+	0.294887i	$0.0952819\pi$
$504$	0.00371910	−	5.33343i	0.000165662	−	0.237570i
$505$		−	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	$-0.0981842\pi$
$509$	17.7760	+	15.4030i	0.787905	+	0.682724i	−0.164898	+	0.986311i	$0.552730\pi$
$510$	13.0778	−	20.3495i	0.579097	−	0.901092i
$511$	1.47716	+	10.3250i	0.0653456	+	0.456749i
$512$	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
$518$	−2.10653	+	1.35171i	−0.0925556	+	0.0593907i
$519$	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	$-0.343295\pi$
$521$	−10.6569	−	12.2987i	−0.466888	−	0.538817i	−0.939543	+	0.342430i	$0.888750\pi$
$522$	0.648208	+	1.41938i	0.0283713	+	0.0621245i
$523$	−1.65997	+	1.06680i	−0.0725855	+	0.0466478i	−0.576430	−	0.817146i	$-0.695555\pi$
$523$	−1.65997	+	1.06680i	−0.0725855	+	0.0466478i	0.503845	+	0.863794i	$0.331918\pi$
$524$	−20.7853	−	2.98848i	−0.908011	−	0.130552i
$525$	23.7519	+	6.99218i	1.03662	+	0.305164i
$526$	−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
$532$	−15.8577	−	7.25535i	−0.687520	−	0.314559i
$533$	−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
$539$	−40.4087	+	5.75238i	−1.74052	+	0.247773i
$540$	−5.32593	−	18.1385i	−0.229192	−	0.780555i
$541$	10.6683	−	3.13249i	0.458665	−	0.134676i	−0.0442342	−	0.999021i	$-0.514085\pi$
$541$	10.6683	−	3.13249i	0.458665	−	0.134676i	0.502899	+	0.864345i	$0.332267\pi$
$542$	−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
$546$	−1.13220	−	0.982442i	−0.0484538	−	0.0420446i
$547$	3.37559	−	23.4778i	0.144330	−	1.00384i	−0.780961	−	0.624580i	$-0.785270\pi$
$547$	3.37559	−	23.4778i	0.144330	−	1.00384i	0.925291	−	0.379258i	$-0.123821\pi$
$548$	−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	−0.490661	−	0.871350i	$-0.663245\pi$
$557$	−28.4847	−	4.09548i	−1.20693	−	0.173531i	−0.716274	+	0.697819i	$0.754154\pi$
$558$	7.90200	+	12.2957i	0.334518	+	0.520520i
$559$	−0.398618	−	0.872851i	−0.0168597	−	0.0369177i
$560$	−5.44017	+	8.45210i	−0.229889	+	0.357166i
$561$	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	$-0.695187\pi$
$563$	−14.6511	+	4.30196i	−0.617471	+	0.181306i	−0.0419862	+	0.999118i	$0.513369\pi$
$564$	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
$567$	1.59118	−	2.47213i	0.0668232	−	0.103820i
$568$	−3.92740	−	8.59981i	−0.164790	−	0.360840i
$569$	−21.0945	−	32.8237i	−0.884327	−	1.37604i	−0.926246	−	0.376919i	$-0.876984\pi$
$569$	−21.0945	−	32.8237i	−0.884327	−	1.37604i	0.0419195	−	0.999121i	$-0.486653\pi$
$570$	−24.5887	−	3.53532i	−1.02991	−	0.148078i
$571$	−5.44510	+	8.47274i	−0.227870	+	0.354573i	−0.936296	−	0.351213i	$-0.885769\pi$
$571$	−5.44510	+	8.47274i	−0.227870	+	0.354573i	0.708426	+	0.705786i	$0.249406\pi$
$572$	−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	−0.810147	−	0.586226i	$-0.800613\pi$
$577$	4.52384	−	15.4068i	0.188330	−	0.641393i	0.998477	−	0.0551663i	$-0.0175689\pi$
$578$	−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
$581$	−19.4541	−	16.8809i	−0.807093	−	0.700336i
$582$	−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	$-0.0168784\pi$
$587$	3.14648	+	10.7159i	0.129869	+	0.442294i	−0.868725	+	0.495294i	$0.835060\pi$
$588$	6.87500	−	0.978691i	0.283520	−	0.0403605i
$589$	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	$-0.240024\pi$
$593$	30.0848	+	4.32554i	1.23543	+	0.177629i	0.506516	+	0.862230i	$0.330933\pi$
$594$	24.4082	+	15.6862i	1.00148	+	0.643612i
$595$	−58.6641	−	26.8405i	−2.40500	−	1.10035i
$596$	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	−0.934382	−	0.356274i	$-0.884047\pi$
$601$	−34.8119	−	30.1646i	−1.42001	−	1.23044i	−0.485624	−	0.874168i	$-0.661407\pi$
$602$	4.26429	+	1.25534i	0.173800	+	0.0511638i
$603$	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	$-0.627173\pi$
$607$	−12.3843	+	1.78059i	−0.502663	+	0.0722721i	−0.113681	+	0.993517i	$0.536264\pi$
$608$	2.73808	−	5.99557i	0.111044	−	0.243152i
$609$	−1.70992	+	1.09721i	−0.0692894	+	0.0444614i
$610$	−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	−0.758662	−	0.651485i	$-0.774146\pi$
$613$	−5.49093	+	4.75792i	−0.221777	+	0.192171i	0.536885	+	0.843655i	$0.319601\pi$
$614$	7.46155	−	3.40758i	0.301124	−	0.137519i
$615$	9.24804	−	5.94335i	0.372917	−	0.239659i
$616$	−2.18484	−	15.2715i	−0.0880299	−	0.615307i
$617$	−3.03799	+	4.72721i	−0.122305	+	0.190310i	−0.897007	−	0.442016i	$-0.854263\pi$
$617$	−3.03799	+	4.72721i	−0.122305	+	0.190310i	0.774702	+	0.632326i	$0.217900\pi$
$618$	−0.190768	−	0.165301i	−0.00767382	−	0.00664940i
$619$	21.7789	+	6.39487i	0.875369	+	0.257032i	0.688398	−	0.725334i	$-0.258314\pi$
$619$	21.7789	+	6.39487i	0.875369	+	0.257032i	0.186972	+	0.982365i	$0.440133\pi$
$620$		−	27.5457i		−	1.10626i
$621$	−12.2156	−	20.5002i	−0.490196	−	0.822645i
$622$			16.3782i			0.656707i
$623$	0.0161693	−	23.1879i	0.000647810	−	0.929003i
$624$	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
$630$	−18.4372	+	8.40444i	−0.734555	+	0.334841i
$631$	10.3870	+	4.74357i	0.413499	+	0.188839i	0.611292	−	0.791405i	$-0.290650\pi$
$631$	10.3870	+	4.74357i	0.413499	+	0.188839i	−0.197793	+	0.980244i	$0.563377\pi$
$632$	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
$637$	−2.16609	+	3.36019i	−0.0858237	+	0.133136i
$638$	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	0.819834	−	0.572601i	$-0.194065\pi$
$641$	9.36098	+	8.11133i	0.369736	+	0.320378i	−0.450098	+	0.892979i	$0.648611\pi$
$642$	4.44107	+	1.30402i	0.175275	+	0.0514654i
$643$	36.3882			1.43501			0.717505	−	0.696554i	$-0.245284\pi$
$643$	36.3882			1.43501			0.717505	+	0.696554i	$0.245284\pi$
$644$	−3.99276	+	12.0440i	−0.157337	+	0.474600i
$645$	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	$-0.105600\pi$
$647$	19.2715	+	16.6989i	0.757642	+	0.656500i	−0.187831	+	0.982201i	$0.560146\pi$
$648$	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
$651$	−14.3910	+	12.4523i	−0.564027	+	0.488044i
$652$	11.8347	+	13.6580i	0.463484	+	0.534890i
$653$	3.50287	+	24.3630i	0.137078	+	0.953398i	0.936009	+	0.351976i	$0.114490\pi$
$653$	3.50287	+	24.3630i	0.137078	+	0.953398i	−0.798931	+	0.601422i	$0.794601\pi$
$654$	−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
$658$	−1.18908	−	2.60853i	−0.0463551	−	0.101691i
$659$	−22.4764	+	19.4759i	−0.875557	+	0.758675i	−0.971582	−	0.236704i	$-0.923933\pi$
$659$	−22.4764	+	19.4759i	−0.875557	+	0.758675i	0.0960245	+	0.995379i	$0.469387\pi$
$660$	−9.12913	−	19.9900i	−0.355351	−	0.778110i
$661$	−15.5461	+	9.99088i	−0.604674	+	0.388600i	−0.806856	−	0.590748i	$-0.798833\pi$
$661$	−15.5461	+	9.99088i	−0.604674	+	0.388600i	0.202183	+	0.979348i	$0.435197\pi$
$662$	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
$665$	−0.0461985	+	66.2517i	−0.00179150	+	2.56913i
$666$		−	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
$672$	0.371722	+	2.59825i	0.0143395	+	0.100229i
$673$	5.13028	−	3.29703i	0.197758	−	0.127091i	−0.438014	−	0.898968i	$-0.644318\pi$
$673$	5.13028	−	3.29703i	0.197758	−	0.127091i	0.635772	+	0.771877i	$0.280682\pi$
$674$	−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	−0.144075	+	0.989567i	$0.546021\pi$
$677$	−20.7527	+	45.4420i	−0.797591	+	1.74648i	−0.653516	+	0.756913i	$0.726707\pi$
$678$	−8.30564	+	2.43876i	−0.318976	+	0.0936599i
$679$	1.76779	+	2.75495i	0.0678414	+	0.105725i
$680$	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	0.990041	+	0.140778i	$0.0449605\pi$
$683$	11.7106	+	25.6427i	0.448095	+	0.981192i	−0.541946	+	0.840413i	$0.682312\pi$
$684$	11.1776	−	7.18342i	0.427387	−	0.274665i
$685$	41.1823	+	5.92112i	1.57349	+	0.226234i
$686$	−5.18057	−	17.7809i	−0.197795	−	0.678879i
$687$	−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
$693$	12.9385	−	28.2792i	0.491494	−	1.07424i
$694$	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
$700$	24.7018	+	3.56916i	0.933639	+	0.134902i
$701$	1.30455	+	4.44290i	0.0492723	+	0.167806i	0.980454	−	0.196750i	$-0.0630388\pi$
$701$	1.30455	+	4.44290i	0.0492723	+	0.167806i	−0.931181	+	0.364556i	$0.881221\pi$
$702$	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
$707$	−16.1217	+	18.5793i	−0.606320	+	0.698745i
$708$	−1.39590	+	9.70868i	−0.0524610	+	0.364875i
$709$	−10.4525	+	16.2645i	−0.392553	+	0.610825i	−0.980133	−	0.198341i	$-0.936445\pi$
$709$	−10.4525	+	16.2645i	−0.392553	+	0.610825i	0.587580	+	0.809166i	$0.300081\pi$
$710$	−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	$-0.176211\pi$
$719$	0.510708	+	0.794678i	0.0190462	+	0.0296365i	−0.831600	+	0.555375i	$0.812575\pi$
$720$	−3.18144	−	6.96638i	−0.118565	−	0.259622i
$721$	−0.364356	+	0.566080i	−0.0135693	+	0.0210819i
$722$	−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	0.960180	+	0.279381i	$0.0901292\pi$
$727$	3.17097	+	22.0546i	0.117605	+	0.817959i	−0.842576	+	0.538578i	$0.818962\pi$
$728$	−1.27060	−	0.817820i	−0.0470917	−	0.0303104i
$729$	−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	0.120062	+	0.992766i	$0.461691\pi$
$733$	−23.8166	+	27.4858i	−0.879686	+	1.01521i	−0.999748	+	0.0224457i	$0.992855\pi$
$734$	−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	−0.305562	+	0.952172i	$0.598844\pi$
$739$	−32.7453	+	37.7901i	−1.20456	+	1.39013i	−0.898994	+	0.437960i	$0.855701\pi$
$740$	−1.94307	+	3.02348i	−0.0714288	+	0.111145i
$741$	0.531465	−	3.69642i	0.0195239	−	0.135791i
$742$	−7.21538	+	8.31526i	−0.264885	+	0.305263i
$743$	32.8796	−	15.0156i	1.20624	−	0.550869i	0.292143	−	0.956375i	$-0.405632\pi$
$743$	32.8796	−	15.0156i	1.20624	−	0.550869i	0.914093	+	0.405506i	$0.132904\pi$
$744$	−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
$749$	1.76529	−	12.2173i	0.0645021	−	0.446412i
$750$	16.5387	−	2.37791i	0.603909	−	0.0868291i
$751$	4.84583	−	4.19893i	0.176827	−	0.153221i	−0.561951	−	0.827171i	$-0.689949\pi$
$751$	4.84583	−	4.19893i	0.176827	−	0.153221i	0.738777	+	0.673949i	$0.235403\pi$
$752$	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
$756$	−5.47733	+	11.9716i	−0.199209	+	0.435402i
$757$	−6.86795	+	23.3901i	−0.249620	+	0.850127i	0.735392	+	0.677642i	$0.236998\pi$
$757$	−6.86795	+	23.3901i	−0.249620	+	0.850127i	−0.985012	+	0.172485i	$0.944820\pi$
$758$			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	0.484090	+	0.875018i	$0.339151\pi$
$761$	−10.9303	+	37.2252i	−0.396223	+	1.34941i	−0.880313	+	0.474393i	$0.842667\pi$
$762$	−12.4621	−	10.7985i	−0.451455	−	0.391188i
$763$	33.4245	+	9.83964i	1.21005	+	0.356219i
$764$	−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	$-0.810639\pi$
$769$	3.81828	−	8.36087i	0.137691	−	0.301501i	0.965899	+	0.258920i	$0.0833667\pi$
$770$	−49.3272	+	31.6521i	−1.77763	+	1.14066i
$771$	−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	−0.997328	−	0.0730580i	$-0.976724\pi$
$773$	−1.69546	−	11.7922i	−0.0609816	−	0.424136i	0.936346	−	0.351078i	$-0.114185\pi$
$774$	−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
$777$	2.45797	−	0.351654i	0.0881793	−	0.0126155i
$778$	−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
$784$	6.71919	−	1.96276i	0.239971	−	0.0700985i
$785$	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	0.929387	+	0.369107i	$0.120337\pi$
$787$	−1.86115	+	12.9446i	−0.0663429	+	0.461425i	−0.995730	+	0.0923175i	$0.970573\pi$
$788$	−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
$791$	9.57564	+	21.0065i	0.340471	+	0.746905i
$792$	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	−0.924065	−	0.382236i	$-0.875154\pi$
$797$	−33.0560	−	38.1486i	−1.17090	−	1.35129i	−0.246837	−	0.969057i	$-0.579391\pi$
$798$	11.3199	+	13.0823i	0.400721	+	0.463109i
$799$	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
$805$	47.9231	−	5.20981i	1.68907	−	0.183622i
$806$	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	0.934498	−	0.355967i	$-0.115848\pi$
$809$	28.4118	+	18.2591i	0.998904	+	0.641957i	0.0644057	+	0.997924i	$0.479485\pi$
$810$	0.600791	−	4.17859i	0.0211096	−	0.146821i
$811$	12.1156	+	18.8522i	0.425435	+	0.661990i	0.986119	−	0.166040i	$-0.0530981\pi$
$811$	12.1156	+	18.8522i	0.425435	+	0.661990i	−0.560684	+	0.828030i	$0.689462\pi$
$812$	−1.54869	+	1.34005i	−0.0543482	+	0.0470267i
$813$	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
$819$	−1.26344	−	2.77166i	−0.0441481	−	0.0968496i
$820$	8.37471	−	7.25673i	0.292458	−	0.253416i
$821$	−15.2084	−	33.3018i	−0.530778	−	1.16224i	−0.965195	−	0.261530i	$-0.915773\pi$
$821$	−15.2084	−	33.3018i	−0.530778	−	1.16224i	0.434417	−	0.900712i	$-0.356954\pi$
$822$	9.13961	−	5.87367i	0.318781	−	0.204868i
$823$	−0.866322	+	6.02540i	−0.0301981	+	0.210032i	−0.999334	−	0.0364954i	$-0.988381\pi$
$823$	−0.866322	+	6.02540i	−0.0301981	+	0.210032i	0.969136	+	0.246528i	$0.0792897\pi$
$824$	−0.214054	−	0.137564i	−0.00745693	−	0.00479228i
$825$	−35.7337	+	41.2389i	−1.24409	+	1.43575i
$826$	26.1590	+	0.0182411i	0.910189	+	0.000634690i
$827$			29.6147i			1.02980i	0.857249	+	0.514902i	$0.172172\pi$
$827$			29.6147i			1.02980i	−0.857249	+	0.514902i	$0.827828\pi$
$828$	−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
$833$	18.6065	+	40.8934i	0.644677	+	1.41687i
$834$	−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	$-0.638861\pi$
$839$	−8.34190	+	2.44940i	−0.287995	+	0.0845628i	0.134545	+	0.990908i	$0.457043\pi$
$840$	8.39237	−	5.38518i	0.289564	−	0.185807i
$841$	−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
$847$	17.1840	−	58.3728i	0.590450	−	2.00571i
$848$	−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	0.710685	+	0.703510i	$0.248385\pi$
$853$	−7.81346	+	26.6102i	−0.267528	+	0.911116i	−0.978213	+	0.207605i	$0.933433\pi$
$854$	17.5916	+	8.04864i	0.601972	+	0.275419i
$855$	−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	$-0.161745\pi$
$857$	1.99484	+	3.10403i	0.0681425	+	0.106032i	−0.805510	+	0.592582i	$0.798109\pi$
$858$	3.00510	−	1.37238i	0.102592	−	0.0468523i
$859$	14.5879	−	12.6405i	0.497732	−	0.431287i	−0.369471	−	0.929242i	$-0.620461\pi$
$859$	14.5879	−	12.6405i	0.497732	−	0.431287i	0.867203	+	0.497955i	$0.165916\pi$
$860$	6.31809	−	0.908404i	0.215445	−	0.0309763i
$861$	−7.57708	−	1.09481i	−0.258226	−	0.0373111i
$862$	4.24009	+	14.4404i	0.144418	+	0.491842i
$863$	−25.9267	+	7.61276i	−0.882555	+	0.259141i	−0.691447	−	0.722428i	$-0.743026\pi$
$863$	−25.9267	+	7.61276i	−0.882555	+	0.259141i	−0.191108	+	0.981569i	$0.561208\pi$
$864$	−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
$868$	−12.5724	+	14.4889i	−0.426734	+	0.491784i
$869$	−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	−0.564170	−	0.825659i	$-0.690804\pi$
$877$	9.87263	−	11.3936i	0.333375	−	0.384735i	0.897545	+	0.440924i	$0.145349\pi$
$878$	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	$-0.124860\pi$
$881$	0.890992	+	1.95100i	0.0300183	+	0.0657309i	−0.894029	+	0.448009i	$0.852133\pi$
$882$	13.5338	+	3.99439i	0.455707	+	0.134498i
$883$	−6.57803	−	45.7512i	−0.221368	−	1.53965i	−0.732870	−	0.680369i	$-0.761820\pi$
$883$	−6.57803	−	45.7512i	−0.221368	−	1.53965i	0.511502	−	0.859282i	$-0.329089\pi$
$884$	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	$-0.304776\pi$
$887$	9.96206	+	4.54952i	0.334493	+	0.152758i	−0.241087	+	0.970504i	$0.577504\pi$
$888$	0.133561	+	0.928934i	0.00448200	+	0.0311730i
$889$	−23.8019	+	36.9797i	−0.798290	+	1.24026i
$890$	−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
$903$	−3.33074	−	2.89017i	−0.110840	−	0.0961788i
$904$	−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	0.863699	−	0.504008i	$-0.168142\pi$
$907$	31.5740	+	14.4194i	1.04840	+	0.478787i	0.184698	+	0.982795i	$0.440869\pi$
$908$	4.66689	−	1.37032i	0.154876	−	0.0454758i
$909$	−5.28031	−	17.9831i	−0.175137	−	0.596461i
$910$	−0.820942	+	5.68165i	−0.0272140	+	0.188345i
$911$	−21.7467	+	3.12671i	−0.720502	+	0.103593i	−0.492805	−	0.870140i	$-0.664029\pi$
$911$	−21.7467	+	3.12671i	−0.720502	+	0.103593i	−0.227697	+	0.973732i	$0.573119\pi$
$912$	−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
$917$	23.1150	−	50.5215i	0.763324	−	1.66837i
$918$	8.99757	−	30.6429i	0.296964	−	1.01137i
$919$			12.6873i			0.418515i	0.977861	+	0.209257i	$0.0671046\pi$
$919$			12.6873i			0.418515i	−0.977861	+	0.209257i	$0.932895\pi$
$920$	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
$924$	−4.32195	+	14.6813i	−0.142182	+	0.482981i
$925$	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	$-0.537444\pi$
$929$	1.51838	−	0.218309i	0.0498163	−	0.00716250i	0.167178	+	0.985927i	$0.446535\pi$
$930$	−11.3518	+	24.8571i	−0.372242	+	0.815096i
$931$	30.2628	−	34.8269i	0.991825	−	1.14141i
$932$	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	$-0.492979\pi$
$937$	28.7931	−	18.5042i	0.940628	−	0.604505i	0.918573	+	0.395252i	$0.129343\pi$
$938$	2.33870	+	16.3469i	0.0763613	+	0.533746i
$939$	−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	$-0.157636\pi$
$941$	41.8146	+	12.2779i	1.36312	+	0.400248i	0.483257	+	0.875479i	$0.339454\pi$
$942$		−	7.95120i		−	0.259064i
$943$	7.95632	−	11.5055i	0.259093	−	0.374670i
$944$			9.88718i			0.321800i
$945$	50.0159	+	0.0348769i	1.62702	+	0.00113455i
$946$	−6.41545	+	7.40383i	−0.208584	+	0.240719i
$947$	−38.4871	−	24.7341i	−1.25066	−	0.803751i	−0.263684	−	0.964609i	$-0.584938\pi$
$947$	−38.4871	−	24.7341i	−1.25066	−	0.803751i	−0.986978	+	0.160858i	$0.948574\pi$
$948$	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
$952$	−15.4513	+	7.04337i	−0.500780	+	0.228277i
$953$	−42.8097	−	19.5505i	−1.38674	−	0.633304i	−0.424482	−	0.905437i	$-0.639544\pi$
$953$	−42.8097	−	19.5505i	−1.38674	−	0.633304i	−0.962260	+	0.272133i	$0.912271\pi$
$954$	−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
$959$	−18.9591	−	21.9108i	−0.612222	−	0.707538i
$960$	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
$966$	8.56649	−	9.22299i	0.275622	−	0.296745i
$967$	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	0.684015	+	0.729468i	$0.260232\pi$
$971$	−5.54064	+	38.5360i	−0.177807	+	1.23668i	−0.861822	+	0.507210i	$0.830677\pi$
$972$	−8.66657	−	13.4854i	−0.277980	−	0.432546i
$973$	9.49523	+	10.9735i	0.304403	+	0.351795i
$974$	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	0.999967	−	0.00813025i	$-0.00258797\pi$
$977$	4.82438	+	16.4303i	0.154346	+	0.525653i	−0.845621	+	0.533783i	$0.820770\pi$
$978$	−5.05101	−	17.2021i	−0.161513	−	0.550064i
$979$	46.4848	+	21.2289i	1.48566	+	0.678478i
$980$	−17.3872	−	20.1226i	−0.555415	−	0.642792i
$981$	−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	$-0.821063\pi$
$983$	−22.3471	+	14.3616i	−0.712763	+	0.458065i	0.133350	+	0.991069i	$0.457427\pi$
$984$	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
$987$	−0.00198314	+	2.84396i	−6.31240e−5	+	0.0905241i
$988$		−	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	−0.203537	−	0.979067i	$-0.565244\pi$
$991$	−28.4608	−	8.35684i	−0.904087	−	0.265464i	−0.700550	+	0.713603i	$0.747062\pi$
$992$	−5.47959	−	4.74809i	−0.173977	−	0.150752i
$993$	−14.6739	+	22.8331i	−0.465663	+	0.724586i
$994$	24.7612	−	3.54251i	0.785379	−	0.112361i
$995$	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	$-0.771658\pi$
$997$	−6.63334	+	5.74783i	−0.210080	+	0.182035i	0.543465	+	0.839432i	$0.317112\pi$
$998$	−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.97.6	yes	80
7.6	odd	2	inner	322.2.k.a.97.3	yes	80
23.14	odd	22	inner	322.2.k.a.83.3	✓	80
161.83	even	22	inner	322.2.k.a.83.6	yes	80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
322.2.k.a.83.3	✓	80	23.14	odd	22	inner
322.2.k.a.83.6	yes	80	161.83	even	22	inner
322.2.k.a.97.3	yes	80	7.6	odd	2	inner
322.2.k.a.97.6	yes	80	1.1	even	1	trivial

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)

\(f(q)\)	\(=\)	\(q+(-0.959493 - 0.281733i) q^{2} +(0.749737 + 0.649651i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.540672 - 3.76045i) q^{5} +(-0.536339 - 0.834560i) q^{6} +(-2.00073 + 1.73120i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(-0.286885 - 1.99533i) q^{9} +O(q^{10})\)	\(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} +(-2.00073 + 1.73120i) 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} +(2.40743 - 1.09741i) 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} +(-2.62470 - 0.00183025i) 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} +(-2.61908 + 0.374703i) 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} +(5.42837 + 8.45968i) 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} +(2.51787 + 0.741220i) 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} +(1.00587 - 6.92735i) 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} +(2.61856 + 0.378356i) 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} +(4.02830 + 3.49547i) 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} +(12.9722 + 8.34952i) 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} +(-2.20705 - 1.42056i) 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} +(-2.91678 + 6.36336i) 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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