LMFDB - Embedded newform 570.2.bb.a.41.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [570,2,Mod(41,570)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(570, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([9, 0, 13]))

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

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

chi := DirichletCharacter("570.41");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 570 = 2 \cdot 3 \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	570.bb (of order $18$, degree $6$, 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:	$4.55147291521$
Analytic rank:	$0$
Dimension:	$84$
Relative dimension:	$14$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			41.6
Character	$\chi$	$=$	570.41
Dual form			570.2.bb.a.431.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.766044 + 0.642788i) q^{2} +(-0.565043 + 1.63729i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-0.984808 - 0.173648i) q^{5} +(-1.48528 + 0.891036i) q^{6} +(-2.04901 - 3.54899i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-2.36145 - 1.85028i) q^{9} +O(q^{10})$	\(q+(0.766044 + 0.642788i) q^{2} +(-0.565043 + 1.63729i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-0.984808 - 0.173648i) q^{5} +(-1.48528 + 0.891036i) q^{6} +(-2.04901 - 3.54899i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-2.36145 - 1.85028i) q^{9} +(-0.642788 - 0.766044i) q^{10} +(-3.47724 - 2.00759i) q^{11} +(-1.71054 - 0.272146i) q^{12} +(1.16463 - 3.19980i) q^{13} +(0.711614 - 4.03577i) q^{14} +(0.840772 - 1.51430i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(-4.10569 + 4.89297i) q^{17} +(-0.619640 - 2.93531i) q^{18} +(-3.58004 + 2.48662i) q^{19} -1.00000i q^{20} +(6.96852 - 1.34950i) q^{21} +(-1.37327 - 3.77303i) q^{22} +(-2.71831 + 0.479312i) q^{23} +(-1.13542 - 1.30799i) q^{24} +(0.939693 + 0.342020i) q^{25} +(2.94895 - 1.70258i) q^{26} +(4.36377 - 2.82090i) q^{27} +(3.13927 - 2.63416i) q^{28} +(1.06480 - 0.893473i) q^{29} +(1.61744 - 0.619583i) q^{30} +(4.88585 - 2.82084i) q^{31} +(-0.939693 - 0.342020i) q^{32} +(5.25180 - 4.55889i) q^{33} +(-6.29029 + 1.10915i) q^{34} +(1.40161 + 3.85088i) q^{35} +(1.41211 - 2.64687i) q^{36} +5.36036i q^{37} +(-4.34084 - 0.396342i) q^{38} +(4.58094 + 3.71487i) q^{39} +(0.642788 - 0.766044i) q^{40} +(-0.706038 + 0.256977i) q^{41} +(6.20564 + 3.44550i) q^{42} +(-1.15962 + 6.57655i) q^{43} +(1.37327 - 3.77303i) q^{44} +(2.00428 + 2.23223i) q^{45} +(-2.39044 - 1.38012i) q^{46} +(-7.08340 - 8.44167i) q^{47} +(-0.0290202 - 1.73181i) q^{48} +(-4.89690 + 8.48168i) q^{49} +(0.500000 + 0.866025i) q^{50} +(-5.69134 - 9.48696i) q^{51} +(3.35342 + 0.591299i) q^{52} +(1.41002 + 7.99659i) q^{53} +(5.15608 + 0.644045i) q^{54} +(3.07580 + 2.58091i) q^{55} +4.09802 q^{56} +(-2.04845 - 7.26663i) q^{57} +1.39000 q^{58} +(3.93262 + 3.29986i) q^{59} +(1.63729 + 0.565043i) q^{60} +(-2.14845 - 12.1845i) q^{61} +(5.55598 + 0.979669i) q^{62} +(-1.72799 + 12.1720i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-1.70258 + 2.94895i) q^{65} +(6.95351 - 0.116521i) q^{66} +(-4.65428 - 5.54676i) q^{67} +(-5.53158 - 3.19366i) q^{68} +(0.751190 - 4.72150i) q^{69} +(-1.40161 + 3.85088i) q^{70} +(1.58993 - 9.01695i) q^{71} +(2.78312 - 1.11994i) q^{72} +(-5.48051 + 1.99474i) q^{73} +(-3.44557 + 4.10628i) q^{74} +(-1.09095 + 1.34530i) q^{75} +(-3.07051 - 3.09386i) q^{76} +16.4543i q^{77} +(1.12133 + 5.79032i) q^{78} +(-1.41871 - 3.89787i) q^{79} +(0.984808 - 0.173648i) q^{80} +(2.15292 + 8.73870i) q^{81} +(-0.706038 - 0.256977i) q^{82} +(-4.25549 + 2.45691i) q^{83} +(2.53907 + 6.62831i) q^{84} +(4.89297 - 4.10569i) q^{85} +(-5.11564 + 4.29254i) q^{86} +(0.861219 + 2.24824i) q^{87} +(3.47724 - 2.00759i) q^{88} +(6.05481 + 2.20377i) q^{89} +(0.100515 + 2.99832i) q^{90} +(-13.7424 + 2.42316i) q^{91} +(-0.944060 - 2.59378i) q^{92} +(1.85783 + 9.59346i) q^{93} -11.0198i q^{94} +(3.95745 - 1.82718i) q^{95} +(1.09095 - 1.34530i) q^{96} +(-7.83806 + 9.34104i) q^{97} +(-9.20316 + 3.34968i) q^{98} +(4.49675 + 11.1747i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 84 q - 6 q^{3} - 42 q^{8} + 6 q^{9}+O(q^{10}) $ 84 * q - 6 * q^3 - 42 * q^8 + 6 * q^9	$ 84 q - 6 q^{3} - 42 q^{8} + 6 q^{9} + 24 q^{13} + 24 q^{14} - 12 q^{17} - 12 q^{19} + 36 q^{22} - 6 q^{24} - 6 q^{27} - 12 q^{28} + 12 q^{29} - 6 q^{33} + 12 q^{34} - 18 q^{38} + 12 q^{39} - 6 q^{41} + 24 q^{43} - 36 q^{44} - 12 q^{47} - 54 q^{49} + 42 q^{50} - 54 q^{51} + 12 q^{52} + 60 q^{53} - 54 q^{54} - 60 q^{57} - 24 q^{58} + 18 q^{59} - 48 q^{61} + 12 q^{62} + 18 q^{63} - 42 q^{64} + 54 q^{66} + 6 q^{67} + 54 q^{68} - 60 q^{69} - 48 q^{71} - 12 q^{72} + 84 q^{73} - 24 q^{74} + 36 q^{78} - 12 q^{79} + 114 q^{81} - 6 q^{82} - 36 q^{83} - 18 q^{84} - 12 q^{86} + 6 q^{87} + 12 q^{89} + 24 q^{91} + 6 q^{93} + 12 q^{95} - 42 q^{97} - 36 q^{98} + 102 q^{99}+O(q^{100}) $ 84 * q - 6 * q^3 - 42 * q^8 + 6 * q^9 + 24 * q^13 + 24 * q^14 - 12 * q^17 - 12 * q^19 + 36 * q^22 - 6 * q^24 - 6 * q^27 - 12 * q^28 + 12 * q^29 - 6 * q^33 + 12 * q^34 - 18 * q^38 + 12 * q^39 - 6 * q^41 + 24 * q^43 - 36 * q^44 - 12 * q^47 - 54 * q^49 + 42 * q^50 - 54 * q^51 + 12 * q^52 + 60 * q^53 - 54 * q^54 - 60 * q^57 - 24 * q^58 + 18 * q^59 - 48 * q^61 + 12 * q^62 + 18 * q^63 - 42 * q^64 + 54 * q^66 + 6 * q^67 + 54 * q^68 - 60 * q^69 - 48 * q^71 - 12 * q^72 + 84 * q^73 - 24 * q^74 + 36 * q^78 - 12 * q^79 + 114 * q^81 - 6 * q^82 - 36 * q^83 - 18 * q^84 - 12 * q^86 + 6 * q^87 + 12 * q^89 + 24 * q^91 + 6 * q^93 + 12 * q^95 - 42 * q^97 - 36 * q^98 + 102 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/570\mathbb{Z}\right)^\times$.

$n$	$191$	$211$	$457$
$\chi(n)$	$-1$	$e\left(\frac{13}{18}\right)$	$1$

Coefficient data

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

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

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

$2$	0.766044	+	0.642788i	0.541675	+	0.454519i
$2$	0.766044	+	0.642788i	0.541675	+	0.454519i
$3$	−0.565043	+	1.63729i	−0.326228	+	0.945291i
$3$	−0.565043	+	1.63729i	−0.326228	+	0.945291i
$4$	0.173648	+	0.984808i	0.0868241	+	0.492404i
$5$	−0.984808	−	0.173648i	−0.440419	−	0.0776578i
$5$	−0.984808	−	0.173648i	−0.440419	−	0.0776578i
$6$	−1.48528	+	0.891036i	−0.606363	+	0.363764i
$7$	−2.04901	−	3.54899i	−0.774454	−	1.34139i	−0.935101	−	0.354381i	$-0.884692\pi$
$7$	−2.04901	−	3.54899i	−0.774454	−	1.34139i	0.160647	−	0.987012i	$-0.448642\pi$
$8$	−0.500000	+	0.866025i	−0.176777	+	0.306186i
$9$	−2.36145	−	1.85028i	−0.787151	−	0.616760i
$10$	−0.642788	−	0.766044i	−0.203267	−	0.242245i
$11$	−3.47724	−	2.00759i	−1.04843	−	0.605311i	−0.126220	−	0.992002i	$-0.540284\pi$
$11$	−3.47724	−	2.00759i	−1.04843	−	0.605311i	−0.922209	+	0.386692i	$0.873618\pi$
$12$	−1.71054	−	0.272146i	−0.493789	−	0.0785618i
$13$	1.16463	−	3.19980i	0.323011	−	0.887465i	−0.666821	−	0.745218i	$-0.732345\pi$
$13$	1.16463	−	3.19980i	0.323011	−	0.887465i	0.989831	−	0.142246i	$-0.0454325\pi$
$14$	0.711614	−	4.03577i	0.190187	−	1.07860i
$15$	0.840772	−	1.51430i	0.217086	−	0.390990i
$16$	−0.939693	+	0.342020i	−0.234923	+	0.0855050i
$17$	−4.10569	+	4.89297i	−0.995777	+	1.18672i	−0.0133807	+	0.999910i	$0.504259\pi$
$17$	−4.10569	+	4.89297i	−0.995777	+	1.18672i	−0.982396	+	0.186810i	$0.940185\pi$
$18$	−0.619640	−	2.93531i	−0.146050	−	0.691859i
$19$	−3.58004	+	2.48662i	−0.821318	+	0.570471i
$19$	−3.58004	+	2.48662i	−0.821318	+	0.570471i
$20$		−	1.00000i		−	0.223607i
$21$	6.96852	−	1.34950i	1.52066	−	0.294485i
$22$	−1.37327	−	3.77303i	−0.292782	−	0.804413i
$23$	−2.71831	+	0.479312i	−0.566807	+	0.0999434i	−0.449706	−	0.893177i	$-0.648471\pi$
$23$	−2.71831	+	0.479312i	−0.566807	+	0.0999434i	−0.117101	+	0.993120i	$0.537360\pi$
$24$	−1.13542	−	1.30799i	−0.231766	−	0.266992i
$25$	0.939693	+	0.342020i	0.187939	+	0.0684040i
$26$	2.94895	−	1.70258i	0.578337	−	0.333903i
$27$	4.36377	−	2.82090i	0.839809	−	0.542882i
$28$	3.13927	−	2.63416i	0.593266	−	0.497809i
$29$	1.06480	−	0.893473i	0.197728	−	0.165914i	−0.538548	−	0.842595i	$-0.681027\pi$
$29$	1.06480	−	0.893473i	0.197728	−	0.165914i	0.736276	+	0.676681i	$0.236582\pi$
$30$	1.61744	−	0.619583i	0.295303	−	0.113120i
$31$	4.88585	−	2.82084i	0.877524	−	0.506639i	0.00768269	−	0.999970i	$-0.497555\pi$
$31$	4.88585	−	2.82084i	0.877524	−	0.506639i	0.869841	+	0.493332i	$0.164221\pi$
$32$	−0.939693	−	0.342020i	−0.166116	−	0.0604612i
$33$	5.25180	−	4.55889i	0.914221	−	0.793601i
$34$	−6.29029	+	1.10915i	−1.07878	+	0.190217i
$35$	1.40161	+	3.85088i	0.236915	+	0.650918i
$36$	1.41211	−	2.64687i	0.235352	−	0.441146i
$37$			5.36036i			0.881238i	0.897694	+	0.440619i	$0.145241\pi$
$37$			5.36036i			0.881238i	−0.897694	+	0.440619i	$0.854759\pi$
$38$	−4.34084	−	0.396342i	−0.704178	−	0.0642951i
$39$	4.58094	+	3.71487i	0.733537	+	0.594855i
$40$	0.642788	−	0.766044i	0.101634	−	0.121122i
$41$	−0.706038	+	0.256977i	−0.110265	+	0.0401330i	−0.396563	−	0.918007i	$-0.629797\pi$
$41$	−0.706038	+	0.256977i	−0.110265	+	0.0401330i	0.286299	+	0.958140i	$0.407575\pi$
$42$	6.20564	+	3.44550i	0.957550	+	0.531652i
$43$	−1.15962	+	6.57655i	−0.176841	+	1.00291i	0.759157	+	0.650908i	$0.225612\pi$
$43$	−1.15962	+	6.57655i	−0.176841	+	1.00291i	−0.935998	+	0.352006i	$0.885500\pi$
$44$	1.37327	−	3.77303i	0.207028	−	0.568806i
$45$	2.00428	+	2.23223i	0.298780	+	0.332762i
$46$	−2.39044	−	1.38012i	−0.352452	−	0.203488i
$47$	−7.08340	−	8.44167i	−1.03322	−	1.23134i	−0.972430	−	0.233194i	$-0.925082\pi$
$47$	−7.08340	−	8.44167i	−1.03322	−	1.23134i	−0.0607904	−	0.998151i	$-0.519362\pi$
$48$	−0.0290202	−	1.73181i	−0.00418870	−	0.249965i
$49$	−4.89690	+	8.48168i	−0.699557	+	1.21167i
$50$	0.500000	+	0.866025i	0.0707107	+	0.122474i
$51$	−5.69134	−	9.48696i	−0.796946	−	1.32844i
$52$	3.35342	+	0.591299i	0.465036	+	0.0819984i
$53$	1.41002	+	7.99659i	0.193680	+	1.09842i	0.914285	+	0.405071i	$0.132753\pi$
$53$	1.41002	+	7.99659i	0.193680	+	1.09842i	−0.720605	+	0.693346i	$0.756136\pi$
$54$	5.15608	+	0.644045i	0.701654	+	0.0876435i
$55$	3.07580	+	2.58091i	0.414741	+	0.348009i
$56$	4.09802			0.547621
$57$	−2.04845	−	7.26663i	−0.271324	−	0.962488i
$58$	1.39000			0.182516
$59$	3.93262	+	3.29986i	0.511984	+	0.429606i	0.861827	−	0.507203i	$-0.169321\pi$
$59$	3.93262	+	3.29986i	0.511984	+	0.429606i	−0.349843	+	0.936808i	$0.613765\pi$
$60$	1.63729	+	0.565043i	0.211374	+	0.0729467i
$61$	−2.14845	−	12.1845i	−0.275081	−	1.56006i	−0.738703	−	0.674031i	$-0.764561\pi$
$61$	−2.14845	−	12.1845i	−0.275081	−	1.56006i	0.463621	−	0.886033i	$-0.346550\pi$
$62$	5.55598	+	0.979669i	0.705610	+	0.124418i
$63$	−1.72799	+	12.1720i	−0.217706	+	1.53353i
$64$	−0.500000	−	0.866025i	−0.0625000	−	0.108253i
$65$	−1.70258	+	2.94895i	−0.211179	+	0.365772i
$66$	6.95351	−	0.116521i	0.855918	−	0.0143428i
$67$	−4.65428	−	5.54676i	−0.568611	−	0.677644i	0.402734	−	0.915317i	$-0.368060\pi$
$67$	−4.65428	−	5.54676i	−0.568611	−	0.677644i	−0.971345	+	0.237673i	$0.923615\pi$
$68$	−5.53158	−	3.19366i	−0.670803	−	0.387288i
$69$	0.751190	−	4.72150i	0.0904327	−	0.568402i
$70$	−1.40161	+	3.85088i	−0.167524	+	0.460268i
$71$	1.58993	−	9.01695i	0.188690	−	1.07011i	−0.732432	−	0.680840i	$-0.761615\pi$
$71$	1.58993	−	9.01695i	0.188690	−	1.07011i	0.921122	−	0.389274i	$-0.127274\pi$
$72$	2.78312	−	1.11994i	0.327993	−	0.131986i
$73$	−5.48051	+	1.99474i	−0.641445	+	0.233467i	−0.642205	−	0.766533i	$-0.721980\pi$
$73$	−5.48051	+	1.99474i	−0.641445	+	0.233467i	0.000760237		1.00000i	$0.499758\pi$
$74$	−3.44557	+	4.10628i	−0.400540	+	0.477345i
$75$	−1.09095	+	1.34530i	−0.125972	+	0.155341i
$76$	−3.07051	−	3.09386i	−0.352212	−	0.354890i
$77$			16.4543i			1.87514i
$78$	1.12133	+	5.79032i	0.126966	+	0.655625i
$79$	−1.41871	−	3.89787i	−0.159617	−	0.438544i	0.833943	−	0.551850i	$-0.186078\pi$
$79$	−1.41871	−	3.89787i	−0.159617	−	0.438544i	−0.993560	+	0.113306i	$0.963856\pi$
$80$	0.984808	−	0.173648i	0.110105	−	0.0194145i
$81$	2.15292	+	8.73870i	0.239213	+	0.970967i
$82$	−0.706038	−	0.256977i	−0.0779688	−	0.0283783i
$83$	−4.25549	+	2.45691i	−0.467100	+	0.269680i	−0.715025	−	0.699099i	$-0.753585\pi$
$83$	−4.25549	+	2.45691i	−0.467100	+	0.269680i	0.247925	+	0.968779i	$0.420251\pi$
$84$	2.53907	+	6.62831i	0.277035	+	0.723208i
$85$	4.89297	−	4.10569i	0.530718	−	0.445325i
$86$	−5.11564	+	4.29254i	−0.551634	+	0.462876i
$87$	0.861219	+	2.24824i	0.0923323	+	0.241036i
$88$	3.47724	−	2.00759i	0.370676	−	0.214010i
$89$	6.05481	+	2.20377i	0.641808	+	0.233599i	0.642363	−	0.766401i	$-0.277954\pi$
$89$	6.05481	+	2.20377i	0.641808	+	0.233599i	−0.000554463		1.00000i	$0.500176\pi$
$90$	0.100515	+	2.99832i	0.0105952	+	0.316050i
$91$	−13.7424	+	2.42316i	−1.44060	+	0.254016i
$92$	−0.944060	−	2.59378i	−0.0984251	−	0.270421i
$93$	1.85783	+	9.59346i	0.192648	+	0.994795i
$94$		−	11.0198i		−	1.13661i
$95$	3.95745	−	1.82718i	0.406026	−	0.187465i
$96$	1.09095	−	1.34530i	0.111345	−	0.137304i
$97$	−7.83806	+	9.34104i	−0.795835	+	0.948439i	−0.999532	−	0.0305951i	$-0.990260\pi$
$97$	−7.83806	+	9.34104i	−0.795835	+	0.948439i	0.203697	+	0.979034i	$0.434704\pi$
$98$	−9.20316	+	3.34968i	−0.929659	+	0.338368i
$99$	4.49675	+	11.1747i	0.451940	+	1.12310i
$100$	−0.173648	+	0.984808i	−0.0173648	+	0.0984808i
$101$	1.89637	−	5.21024i	0.188696	−	0.518438i	−0.808884	−	0.587969i	$-0.799928\pi$
$101$	1.89637	−	5.21024i	0.188696	−	0.518438i	0.997580	+	0.0695305i	$0.0221501\pi$
$102$	1.73828	−	10.9258i	0.172116	−	1.08181i
$103$	−13.9182	−	8.03568i	−1.37140	−	0.791779i	−0.380297	−	0.924864i	$-0.624178\pi$
$103$	−13.9182	−	8.03568i	−1.37140	−	0.791779i	−0.991105	+	0.133085i	$0.957512\pi$
$104$	2.18879	+	2.60850i	0.214629	+	0.255784i
$105$	−7.09699	+	0.118925i	−0.692595	+	0.0116059i
$106$	−4.05998	+	7.03209i	−0.394340	+	0.683017i
$107$	−2.68562	−	4.65163i	−0.259629	−	0.449690i	0.706514	−	0.707699i	$-0.250267\pi$
$107$	−2.68562	−	4.65163i	−0.259629	−	0.449690i	−0.966142	+	0.258009i	$0.916933\pi$
$108$	3.53581	+	3.80763i	0.340233	+	0.366390i
$109$	12.6843	+	2.23658i	1.21493	+	0.214226i	0.744144	−	0.668020i	$-0.232858\pi$
$109$	12.6843	+	2.23658i	1.21493	+	0.214226i	0.470790	+	0.882245i	$0.343969\pi$
$110$	0.697228	+	3.95418i	0.0664781	+	0.377016i
$111$	−8.77648	−	3.02884i	−0.833027	−	0.287484i
$112$	3.13927	+	2.63416i	0.296633	+	0.248905i
$113$	−3.90232			−0.367100			−0.183550	−	0.983010i	$-0.558759\pi$
$113$	−3.90232			−0.367100			−0.183550	+	0.983010i	$0.558759\pi$
$114$	3.10169	−	6.88328i	0.290500	−	0.644678i
$115$	2.76025			0.257394
$116$	1.06480	+	0.893473i	0.0988642	+	0.0829569i
$117$	−8.67075	+	5.40128i	−0.801611	+	0.499348i
$118$	0.891454	+	5.05568i	0.0820650	+	0.465413i
$119$	25.7777	+	4.54531i	2.36304	+	0.416668i
$120$	0.891036	+	1.48528i	0.0813401	+	0.135587i
$121$	2.56082	+	4.43547i	0.232802	+	0.403224i
$122$	6.18623	−	10.7149i	0.560075	−	0.970078i
$123$	−0.0218043	−	1.30119i	−0.00196603	−	0.117325i
$124$	3.62641	+	4.32178i	0.325661	+	0.388108i
$125$	−0.866025	−	0.500000i	−0.0774597	−	0.0447214i
$126$	−9.14775	+	8.21358i	−0.814946	+	0.731724i
$127$	−2.39168	+	6.57108i	−0.212227	+	0.583089i	−0.999435	−	0.0335982i	$-0.989303\pi$
$127$	−2.39168	+	6.57108i	−0.212227	+	0.583089i	0.787208	+	0.616687i	$0.211526\pi$
$128$	0.173648	−	0.984808i	0.0153485	−	0.0870455i
$129$	−10.1125	−	5.61467i	−0.890355	−	0.494344i
$130$	−3.19980	+	1.16463i	−0.280641	+	0.102145i
$131$	10.4927	−	12.5047i	0.916750	−	1.09254i	−0.0786661	−	0.996901i	$-0.525066\pi$
$131$	10.4927	−	12.5047i	0.916750	−	1.09254i	0.995416	−	0.0956391i	$-0.0304895\pi$
$132$	5.40160	+	4.38037i	0.470149	+	0.381262i
$133$	16.1606	+	7.61042i	1.40130	+	0.659907i
$134$		−	7.24078i		−	0.625508i
$135$	−4.78732	+	2.02028i	−0.412027	+	0.173878i
$136$	−2.18459	−	6.00212i	−0.187327	−	0.514678i
$137$	5.81361	−	1.02510i	0.496690	−	0.0875798i	0.0803089	−	0.996770i	$-0.474409\pi$
$137$	5.81361	−	1.02510i	0.496690	−	0.0875798i	0.416381	+	0.909190i	$0.363298\pi$
$138$	3.61037	−	3.13403i	0.307335	−	0.266786i
$139$	−10.6315	−	3.86957i	−0.901756	−	0.328212i	−0.150800	−	0.988564i	$-0.548185\pi$
$139$	−10.6315	−	3.86957i	−0.901756	−	0.328212i	−0.750956	+	0.660352i	$0.770407\pi$
$140$	−3.54899	+	2.04901i	−0.299945	+	0.173173i
$141$	17.8239	−	6.82769i	1.50104	−	0.574996i
$142$	7.01394	−	5.88539i	0.588597	−	0.493891i
$143$	−10.4736	+	8.78838i	−0.875845	+	0.734922i
$144$	2.85187	+	0.931031i	0.237656	+	0.0775860i
$145$	−1.20377	+	0.694999i	−0.0999679	+	0.0577165i
$146$	−5.48051	−	1.99474i	−0.453570	−	0.165086i
$147$	−11.1200	−	12.8102i	−0.917164	−	1.05656i
$148$	−5.27893	+	0.930817i	−0.433925	+	0.0765127i
$149$	4.74265	+	13.0303i	0.388533	+	1.06749i	0.967662	+	0.252250i	$0.0811705\pi$
$149$	4.74265	+	13.0303i	0.388533	+	1.06749i	−0.579129	+	0.815236i	$0.696607\pi$
$150$	−1.70046	+	0.329305i	−0.138842	+	0.0268876i
$151$			17.5135i			1.42523i	0.701558	+	0.712613i	$0.252488\pi$
$151$			17.5135i			1.42523i	−0.701558	+	0.712613i	$0.747512\pi$
$152$	−0.363459	−	4.34372i	−0.0294804	−	0.352322i
$153$	18.7488	−	3.95784i	1.51575	−	0.319972i
$154$	−10.5766	+	12.6047i	−0.852288	+	1.01572i
$155$	−5.30145	+	1.92957i	−0.425823	+	0.154987i
$156$	−2.86296	+	5.15642i	−0.229220	+	0.412844i
$157$	1.13700	−	6.44822i	0.0907422	−	0.514624i	−0.905227	−	0.424928i	$-0.860299\pi$
$157$	1.13700	−	6.44822i	0.0907422	−	0.514624i	0.995969	−	0.0896961i	$-0.0285896\pi$
$158$	1.41871	−	3.89787i	0.112866	−	0.310098i
$159$	−13.8895	−	2.20981i	−1.10151	−	0.175250i
$160$	0.866025	+	0.500000i	0.0684653	+	0.0395285i
$161$	7.27093	+	8.66516i	0.573029	+	0.682910i
$162$	−3.96790	+	8.07810i	−0.311748	+	0.634676i
$163$	−3.61658	+	6.26410i	−0.283272	+	0.490642i	−0.972189	−	0.234199i	$-0.924753\pi$
$163$	−3.61658	+	6.26410i	−0.283272	+	0.490642i	0.688917	+	0.724841i	$0.258087\pi$
$164$	−0.375675	−	0.650688i	−0.0293353	−	0.0508102i
$165$	−5.96366	+	3.57767i	−0.464270	+	0.278521i
$166$	−4.83916	−	0.853274i	−0.375592	−	0.0662269i
$167$	1.37824	+	7.81642i	0.106652	+	0.604852i	0.990548	+	0.137169i	$0.0438002\pi$
$167$	1.37824	+	7.81642i	0.106652	+	0.604852i	−0.883896	+	0.467684i	$0.845089\pi$
$168$	−2.31556	+	6.70966i	−0.178649	+	0.517662i
$169$	1.07623	+	0.903065i	0.0827870	+	0.0694665i
$170$	6.38732			0.489885
$171$	13.0551	+	0.752040i	0.998345	+	0.0575099i
$172$	−6.67800			−0.509193
$173$	5.04257	+	4.23122i	0.383379	+	0.321693i	0.814027	−	0.580827i	$-0.197271\pi$
$173$	5.04257	+	4.23122i	0.383379	+	0.321693i	−0.430648	+	0.902520i	$0.641715\pi$
$174$	−0.785408	+	2.27583i	−0.0595416	+	0.172530i
$175$	−0.711614	−	4.03577i	−0.0537930	−	0.305075i
$176$	3.95418	+	0.697228i	0.298057	+	0.0525555i
$177$	−7.62494	+	4.57429i	−0.573126	+	0.343825i
$178$	3.22170	+	5.58014i	0.241476	+	0.418249i
$179$	6.25254	−	10.8297i	0.467337	−	0.809451i	−0.531967	−	0.846765i	$-0.678547\pi$
$179$	6.25254	−	10.8297i	0.467337	−	0.809451i	0.999304	+	0.0373143i	$0.0118803\pi$
$180$	−1.85028	+	2.36145i	−0.137912	+	0.176012i
$181$	−13.2221	−	15.7575i	−0.982792	−	1.17125i	−0.985228	−	0.171248i	$-0.945220\pi$
$181$	−13.2221	−	15.7575i	−0.982792	−	1.17125i	0.00243636	−	0.999997i	$-0.499224\pi$
$182$	−12.0849	−	6.97720i	−0.895790	−	0.517185i
$183$	21.1635	+	3.36711i	1.56445	+	0.248904i
$184$	0.944060	−	2.59378i	0.0695970	−	0.191216i
$185$	0.930817	−	5.27893i	0.0684350	−	0.388114i
$186$	−4.74337	+	8.54321i	−0.347801	+	0.626418i
$187$	24.0996	−	8.77153i	1.76234	−	0.641438i
$188$	7.08340	−	8.44167i	0.516610	−	0.615672i
$189$	−18.9528	−	9.70694i	−1.37861	−	0.706076i
$190$	4.20607	+	1.14410i	0.305140	+	0.0830017i
$191$		−	25.7842i		−	1.86568i	−0.360294	−	0.932839i	$-0.617324\pi$
$191$		−	25.7842i		−	1.86568i	0.360294	−	0.932839i	$-0.382676\pi$
$192$	1.70046	−	0.329305i	0.122720	−	0.0237655i
$193$	−1.70162	−	4.67515i	−0.122485	−	0.336525i	0.863263	−	0.504755i	$-0.168417\pi$
$193$	−1.70162	−	4.67515i	−0.122485	−	0.336525i	−0.985748	+	0.168230i	$0.946195\pi$
$194$	−12.0086	+	2.11744i	−0.862168	+	0.152023i
$195$	−3.86626	−	4.45390i	−0.276869	−	0.318951i
$196$	−9.20316	−	3.34968i	−0.657368	−	0.239263i
$197$	7.32223	−	4.22749i	0.521688	−	0.301196i	−0.215937	−	0.976407i	$-0.569281\pi$
$197$	7.32223	−	4.22749i	0.521688	−	0.301196i	0.737625	+	0.675211i	$0.235947\pi$
$198$	−3.73826	+	11.4508i	−0.265666	+	0.813771i
$199$	−16.9899	+	14.2562i	−1.20438	+	1.01060i	−0.204887	+	0.978786i	$0.565683\pi$
$199$	−16.9899	+	14.2562i	−1.20438	+	1.01060i	−0.999494	+	0.0318098i	$0.989873\pi$
$200$	−0.766044	+	0.642788i	−0.0541675	+	0.0454519i
$201$	11.7115	−	4.48626i	0.826068	−	0.316437i
$202$	4.80178	−	2.77231i	0.337852	−	0.195059i
$203$	−5.35272	−	1.94823i	−0.375687	−	0.136739i
$204$	8.35454	−	7.25227i	0.584935	−	0.507760i
$205$	0.739935	−	0.130471i	0.0516793	−	0.00911246i
$206$	−5.49673	−	15.1021i	−0.382975	−	1.05222i
$207$	7.30603	+	3.89777i	0.507804	+	0.270914i
$208$			3.40516i			0.236105i
$209$	17.4408	−	1.45935i	1.20641	−	0.100945i
$210$	−5.51305	−	4.47075i	−0.380437	−	0.308511i
$211$	16.7088	−	19.9127i	1.15028	−	1.37085i	0.233061	−	0.972462i	$-0.425126\pi$
$211$	16.7088	−	19.9127i	1.15028	−	1.37085i	0.917218	−	0.398387i	$-0.130430\pi$
$212$	−7.63026	+	2.77719i	−0.524048	+	0.190738i
$213$	13.8650	+	7.69815i	0.950014	+	0.527468i
$214$	0.932706	−	5.28964i	0.0637585	−	0.361592i
$215$	2.28401	−	6.27527i	0.155768	−	0.427970i
$216$	0.261084	+	5.18959i	0.0177645	+	0.353107i
$217$	−20.0223	−	11.5599i	−1.35920	−	0.784736i
$218$	8.27908	+	9.86662i	0.560730	+	0.668252i
$219$	−0.169252	−	10.1003i	−0.0114370	−	0.682515i
$220$	−2.00759	+	3.47724i	−0.135352	+	0.234436i
$221$	10.8749	+	18.8359i	0.731526	+	1.26704i
$222$	−4.77628	−	7.96164i	−0.320563	−	0.534350i
$223$	−7.24540	−	1.27756i	−0.485188	−	0.0855517i	−0.0742968	−	0.997236i	$-0.523671\pi$
$223$	−7.24540	−	1.27756i	−0.485188	−	0.0855517i	−0.410891	+	0.911684i	$0.634782\pi$
$224$	0.711614	+	4.03577i	0.0475467	+	0.269651i
$225$	−1.58621	−	2.54636i	−0.105747	−	0.169757i
$226$	−2.98935	−	2.50836i	−0.198849	−	0.166854i
$227$	20.9916			1.39326			0.696632	−	0.717429i	$-0.254681\pi$
$227$	20.9916			1.39326			0.696632	+	0.717429i	$0.254681\pi$
$228$	6.80052	−	3.27917i	0.450375	−	0.217168i
$229$	10.4166			0.688351			0.344175	−	0.938905i	$-0.388158\pi$
$229$	10.4166			0.688351			0.344175	+	0.938905i	$0.388158\pi$
$230$	2.11447	+	1.77425i	0.139424	+	0.116991i
$231$	−26.9405	−	9.29738i	−1.77255	−	0.611723i
$232$	0.241370	+	1.36888i	0.0158467	+	0.0898714i
$233$	−15.3942	−	2.71442i	−1.00851	−	0.177827i	−0.355097	−	0.934830i	$-0.615552\pi$
$233$	−15.3942	−	2.71442i	−1.00851	−	0.177827i	−0.653412	+	0.757002i	$0.726663\pi$
$234$	−10.1141	−	1.43583i	−0.661176	−	0.0938633i
$235$	5.50991	+	9.54344i	0.359427	+	0.622546i
$236$	−2.56684	+	4.44589i	−0.167087	+	0.289403i
$237$	7.18358	−	0.120376i	0.466624	−	0.00781928i
$238$	16.8252	+	20.0515i	1.09062	+	1.29975i
$239$	−25.1255	−	14.5062i	−1.62523	−	0.938328i	−0.985489	−	0.169740i	$-0.945707\pi$
$239$	−25.1255	−	14.5062i	−1.62523	−	0.938328i	−0.639744	−	0.768588i	$-0.720960\pi$
$240$	−0.272146	+	1.71054i	−0.0175669	+	0.110415i
$241$	−9.61525	+	26.4177i	−0.619373	+	1.70171i	0.0891435	+	0.996019i	$0.471587\pi$
$241$	−9.61525	+	26.4177i	−0.619373	+	1.70171i	−0.708516	+	0.705694i	$0.750635\pi$
$242$	−0.889363	+	5.04383i	−0.0571704	+	0.324230i
$243$	−15.5243	−	1.41279i	−0.995885	−	0.0906305i
$244$	11.6263	−	4.23163i	0.744298	−	0.270902i
$245$	6.29533	−	7.50248i	0.402194	−	0.479316i
$246$	0.819688	−	1.01079i	0.0522614	−	0.0644455i
$247$	3.78727	+	14.3514i	0.240978	+	0.913159i
$248$			5.64169i			0.358248i
$249$	−1.61814	−	8.35573i	−0.102545	−	0.529523i
$250$	−0.342020	−	0.939693i	−0.0216313	−	0.0594314i
$251$	−19.2200	+	3.38901i	−1.21316	+	0.213912i	−0.743378	−	0.668872i	$-0.766778\pi$
$251$	−19.2200	+	3.38901i	−1.21316	+	0.213912i	−0.469779	+	0.882784i	$0.655666\pi$
$252$	−12.2872	+	0.411912i	−0.774019	+	0.0259480i
$253$	10.4145	+	3.79057i	0.654754	+	0.238311i
$254$	−6.05594	+	3.49640i	−0.379983	+	0.219383i
$255$	3.95748	+	10.3311i	0.247827	+	0.646960i
$256$	0.766044	−	0.642788i	0.0478778	−	0.0401742i
$257$	7.65660	−	6.42465i	0.477606	−	0.400759i	−0.371954	−	0.928251i	$-0.621312\pi$
$257$	7.65660	−	6.42465i	0.477606	−	0.400759i	0.849560	+	0.527492i	$0.176868\pi$
$258$	−4.13758	−	10.8013i	−0.257594	−	0.672458i
$259$	19.0239	−	10.9834i	1.18209	−	0.682478i
$260$	−3.19980	−	1.16463i	−0.198443	−	0.0722274i
$261$	−4.16765	+	0.139715i	−0.257971	+	0.00864815i
$262$	16.0757	−	2.83458i	0.993162	−	0.175121i
$263$	7.62217	+	20.9417i	0.470003	+	1.29132i	0.917749	+	0.397162i	$0.130005\pi$
$263$	7.62217	+	20.9417i	0.470003	+	1.29132i	−0.447746	+	0.894161i	$0.647773\pi$
$264$	1.32222	+	6.82764i	0.0813767	+	0.420212i
$265$		−	8.11995i		−	0.498805i
$266$	7.48782	+	16.2177i	0.459108	+	0.994373i
$267$	−7.02944	+	8.66827i	−0.430195	+	0.530489i
$268$	4.65428	−	5.54676i	0.284305	−	0.338822i
$269$	−10.4055	+	3.78730i	−0.634435	+	0.230916i	−0.639161	−	0.769073i	$-0.720718\pi$
$269$	−10.4055	+	3.78730i	−0.634435	+	0.230916i	0.00472539	+	0.999989i	$0.498496\pi$
$270$	−4.96591	−	1.52961i	−0.302216	−	0.0930888i
$271$	−4.83012	+	27.3930i	−0.293409	+	1.66401i	0.380190	+	0.924908i	$0.375859\pi$
$271$	−4.83012	+	27.3930i	−0.293409	+	1.66401i	−0.673599	+	0.739097i	$0.735253\pi$
$272$	2.18459	−	6.00212i	0.132460	−	0.363932i
$273$	3.79764	−	23.8695i	0.229843	−	1.44465i
$274$	5.11240	+	2.95165i	0.308851	+	0.178315i
$275$	−2.58091	−	3.07580i	−0.155634	−	0.185478i
$276$	4.78022	−	0.0801028i	0.287735	−	0.00482162i
$277$	13.8612	−	24.0083i	0.832839	−	1.44252i	−0.0629393	−	0.998017i	$-0.520047\pi$
$277$	13.8612	−	24.0083i	0.832839	−	1.44252i	0.895778	−	0.444502i	$-0.146619\pi$
$278$	−5.65693	−	9.79809i	−0.339280	−	0.587650i
$279$	−16.7571	−	2.37890i	−1.00322	−	0.142421i
$280$	−4.03577	−	0.711614i	−0.241183	−	0.0425271i
$281$	−1.91420	−	10.8560i	−0.114192	−	0.647613i	−0.987147	−	0.159813i	$-0.948911\pi$
$281$	−1.91420	−	10.8560i	−0.114192	−	0.647613i	0.872956	−	0.487800i	$-0.162200\pi$
$282$	18.0427	+	6.22667i	1.07443	+	0.370793i
$283$	−4.88776	−	4.10132i	−0.290547	−	0.243798i	0.485850	−	0.874042i	$-0.338510\pi$
$283$	−4.88776	−	4.10132i	−0.290547	−	0.243798i	−0.776397	+	0.630244i	$0.782955\pi$
$284$	9.15605			0.543312
$285$	0.755496	+	7.51194i	0.0447517	+	0.444969i
$286$	−13.6723			−0.808460
$287$	2.35869	+	1.97917i	0.139229	+	0.116827i
$288$	1.58621	+	2.54636i	0.0934681	+	0.150046i
$289$	−4.13246	−	23.4364i	−0.243086	−	1.37861i
$290$	−1.36888	−	0.241370i	−0.0803834	−	0.0141738i
$291$	−10.8652	−	18.1113i	−0.636928	−	1.06170i
$292$	−2.91612	−	5.05086i	−0.170653	−	0.295579i
$293$	−0.406515	+	0.704105i	−0.0237489	+	0.0411342i	−0.877656	−	0.479292i	$-0.840894\pi$
$293$	−0.406515	+	0.704105i	−0.0237489	+	0.0411342i	0.853907	+	0.520426i	$0.174227\pi$
$294$	−0.284218	−	16.9610i	−0.0165759	−	0.989184i
$295$	−3.29986	−	3.93262i	−0.192125	−	0.228966i
$296$	−4.64221	−	2.68018i	−0.269823	−	0.155782i
$297$	−20.8371	+	1.04830i	−1.20909	+	0.0608284i
$298$	−4.74265	+	13.0303i	−0.274734	+	0.754826i
$299$	−1.63213	+	9.25628i	−0.0943886	+	0.535304i
$300$	−1.51430	−	0.840772i	−0.0874281	−	0.0485420i
$301$	25.7162	−	9.35993i	1.48226	−	0.539497i
$302$	−11.2574	+	13.4161i	−0.647793	+	0.772009i
$303$	7.45915	+	6.04892i	0.428517	+	0.347502i
$304$	2.51366	−	3.56111i	0.144168	−	0.204244i
$305$			12.3725i			0.708445i
$306$	16.9064	+	9.01960i	0.966477	+	0.515616i
$307$	−6.00096	−	16.4875i	−0.342493	−	0.940991i	−0.984669	−	0.174434i	$-0.944190\pi$
$307$	−6.00096	−	16.4875i	−0.342493	−	0.940991i	0.642176	−	0.766557i	$-0.278032\pi$
$308$	−16.2043	+	2.85726i	−0.923326	+	0.162807i
$309$	21.0211	−	18.2477i	1.19585	−	1.03807i
$310$	−5.30145	−	1.92957i	−0.301102	−	0.109592i
$311$	−21.8326	+	12.6051i	−1.23801	+	0.714768i	−0.968688	−	0.248281i	$-0.920134\pi$
$311$	−21.8326	+	12.6051i	−1.23801	+	0.714768i	−0.269327	+	0.963049i	$0.586801\pi$
$312$	−5.50764	+	2.10978i	−0.311809	+	0.119443i
$313$	21.3648	−	17.9272i	1.20761	−	1.01330i	0.208229	−	0.978080i	$-0.433230\pi$
$313$	21.3648	−	17.9272i	1.20761	−	1.01330i	0.999379	−	0.0352238i	$-0.0112144\pi$
$314$	5.01583	−	4.20878i	0.283060	−	0.237515i
$315$	3.81539	−	11.6870i	0.214973	−	0.658490i
$316$	3.59229	−	2.07401i	0.202082	−	0.116672i
$317$	19.0767	+	6.94333i	1.07145	+	0.389977i	0.816719	−	0.577035i	$-0.195790\pi$
$317$	19.0767	+	6.94333i	1.07145	+	0.389977i	0.254732	+	0.967012i	$0.418013\pi$
$318$	−9.21952	−	10.6208i	−0.517005	−	0.595585i
$319$	−5.49629	+	0.969145i	−0.307733	+	0.0542617i
$320$	0.342020	+	0.939693i	0.0191195	+	0.0525304i
$321$	9.13357	−	1.76877i	0.509786	−	0.0987233i
$322$			11.3116i			0.630368i
$323$	2.53156	−	27.7264i	0.140860	−	1.54274i
$324$	−8.23209	+	3.63767i	−0.457339	+	0.202093i
$325$	2.18879	−	2.60850i	0.121412	−	0.144694i
$326$	−6.79694	+	2.47388i	−0.376448	+	0.137016i
$327$	−10.8291	+	19.5041i	−0.598851	+	1.07858i
$328$	0.130471	−	0.739935i	0.00720403	−	0.0408561i
$329$	−15.4455	+	42.4360i	−0.851535	+	2.33957i
$330$	−6.86811	−	1.09271i	−0.378077	−	0.0601519i
$331$	15.4659	+	8.92924i	0.850083	+	0.490795i	0.860679	−	0.509148i	$-0.170040\pi$
$331$	15.4659	+	8.92924i	0.850083	+	0.490795i	−0.0105961	+	0.999944i	$0.503373\pi$
$332$	−3.15854	−	3.76420i	−0.173347	−	0.206587i
$333$	9.91818	−	12.6582i	0.543513	−	0.693667i
$334$	−3.96850	+	6.87364i	−0.217147	+	0.376109i
$335$	3.62039	+	6.27070i	0.197803	+	0.342605i
$336$	−6.08671	+	3.65149i	−0.332057	+	0.199205i
$337$	15.6681	+	2.76271i	0.853497	+	0.150495i	0.583246	−	0.812295i	$-0.301782\pi$
$337$	15.6681	+	2.76271i	0.853497	+	0.150495i	0.270251	+	0.962790i	$0.412893\pi$
$338$	0.243962	+	1.38358i	0.0132698	+	0.0752566i
$339$	2.20498	−	6.38924i	0.119758	−	0.347016i
$340$	4.89297	+	4.10569i	0.265359	+	0.222662i
$341$	−22.6524			−1.22669
$342$	9.51735	+	8.96772i	0.514639	+	0.484919i
$343$	11.4490			0.618190
$344$	−5.11564	−	4.29254i	−0.275817	−	0.231438i
$345$	−1.55966	+	4.51933i	−0.0839692	+	0.243313i
$346$	1.14306	+	6.48260i	0.0614511	+	0.348507i
$347$	−26.5092	−	4.67429i	−1.42309	−	0.250929i	−0.591493	−	0.806310i	$-0.701461\pi$
$347$	−26.5092	−	4.67429i	−1.42309	−	0.250929i	−0.831596	+	0.555381i	$0.812572\pi$
$348$	−2.06453	+	1.23854i	−0.110671	+	0.0663926i
$349$	−14.3944	−	24.9318i	−0.770512	−	1.33457i	−0.937282	−	0.348571i	$-0.886667\pi$
$349$	−14.3944	−	24.9318i	−0.770512	−	1.33457i	0.166770	−	0.985996i	$-0.446666\pi$
$350$	2.04901	−	3.54899i	0.109524	−	0.189702i
$351$	−3.94412	−	17.2485i	−0.210522	−	0.920657i
$352$	2.58091	+	3.07580i	0.137563	+	0.163941i
$353$	−19.6583	−	11.3497i	−1.04631	−	0.604086i	−0.124694	−	0.992195i	$-0.539795\pi$
$353$	−19.6583	−	11.3497i	−1.04631	−	0.604086i	−0.921613	+	0.388110i	$0.873128\pi$
$354$	−8.78134	−	1.39711i	−0.466723	−	0.0742555i
$355$	−3.13155	+	8.60387i	−0.166206	+	0.456646i
$356$	−1.11888	+	6.34550i	−0.0593007	+	0.336311i
$357$	−22.0075	+	39.6374i	−1.16476	+	2.09783i
$358$	11.7509	−	4.27699i	0.621056	−	0.226046i
$359$	10.2182	−	12.1775i	0.539294	−	0.642705i	−0.425736	−	0.904848i	$-0.639985\pi$
$359$	10.2182	−	12.1775i	0.539294	−	0.642705i	0.965029	+	0.262142i	$0.0844290\pi$
$360$	−2.93531	+	0.619640i	−0.154704	+	0.0326579i
$361$	6.63340	−	17.8044i	0.349126	−	0.937076i
$362$		−	20.5699i		−	1.08113i
$363$	−8.70913	+	1.68658i	−0.457111	+	0.0885224i
$364$	−4.77269	−	13.1129i	−0.250157	−	0.687300i
$365$	5.74363	−	1.01276i	0.300635	−	0.0530101i
$366$	14.0479	+	16.1830i	0.734294	+	0.845900i
$367$	14.8559	+	5.40709i	0.775470	+	0.282248i	0.699282	−	0.714845i	$-0.253503\pi$
$367$	14.8559	+	5.40709i	0.775470	+	0.282248i	0.0761876	+	0.997093i	$0.475725\pi$
$368$	2.39044	−	1.38012i	0.124611	−	0.0719439i
$369$	2.14275	+	0.699530i	0.111547	+	0.0364161i
$370$	4.10628	−	3.44557i	0.213475	−	0.179127i
$371$	25.4907	−	21.3892i	1.32341	−	1.11047i
$372$	−9.12510	+	3.49550i	−0.473114	+	0.181233i
$373$	−23.9602	+	13.8334i	−1.24061	+	0.716269i	−0.969219	−	0.246199i	$-0.920818\pi$
$373$	−23.9602	+	13.8334i	−1.24061	+	0.716269i	−0.271395	+	0.962468i	$0.587485\pi$
$374$	24.0996	+	8.77153i	1.24616	+	0.453565i
$375$	1.30799	−	1.13542i	0.0675442	−	0.0586326i
$376$	10.8524	−	1.91357i	0.559670	−	0.0986849i
$377$	−1.61883	−	4.44771i	−0.0833742	−	0.229069i
$378$	−8.27917	−	19.6186i	−0.425834	−	1.00907i
$379$			19.3800i			0.995486i	0.867325	+	0.497743i	$0.165838\pi$
$379$			19.3800i			0.995486i	−0.867325	+	0.497743i	$0.834162\pi$
$380$	2.48662	+	3.58004i	0.127561	+	0.183652i
$381$	−9.40738	−	7.62882i	−0.481954	−	0.390836i
$382$	16.5737	−	19.7518i	0.847987	−	1.01059i
$383$	−13.4130	+	4.88192i	−0.685370	+	0.249454i	−0.661152	−	0.750252i	$-0.729932\pi$
$383$	−13.4130	+	4.88192i	−0.685370	+	0.249454i	−0.0242187	+	0.999707i	$0.507710\pi$
$384$	1.51430	+	0.840772i	0.0772763	+	0.0429054i
$385$	2.85726	−	16.2043i	0.145619	−	0.825848i
$386$	1.70162	−	4.67515i	0.0866100	−	0.237959i
$387$	14.9069	−	13.3846i	0.757758	−	0.680376i
$388$	−10.5602	−	6.09693i	−0.536113	−	0.309525i
$389$	4.63681	+	5.52594i	0.235096	+	0.280176i	0.870674	−	0.491860i	$-0.163683\pi$
$389$	4.63681	+	5.52594i	0.235096	+	0.280176i	−0.635579	+	0.772036i	$0.719238\pi$
$390$	−0.0988182	−	5.89707i	−0.00500385	−	0.298610i
$391$	8.81530	−	15.2685i	0.445809	−	0.772163i
$392$	−4.89690	−	8.48168i	−0.247331	−	0.428389i
$393$	14.5450	+	24.2453i	0.733699	+	1.22301i
$394$	8.32654	+	1.46819i	0.419485	+	0.0739665i
$395$	0.720297	+	4.08501i	0.0362421	+	0.205539i
$396$	−10.2241	+	6.36890i	−0.513780	+	0.320049i
$397$	2.93583	+	2.46345i	0.147345	+	0.123637i	0.713481	−	0.700675i	$-0.247118\pi$
$397$	2.93583	+	2.46345i	0.147345	+	0.123637i	−0.566136	+	0.824312i	$0.691562\pi$
$398$	−22.1787			−1.11172
$399$	−21.5919	+	22.1593i	−1.08095	+	1.10935i
$400$	−1.00000			−0.0500000
$401$	−6.46345	−	5.42348i	−0.322770	−	0.270836i	0.466977	−	0.884270i	$-0.345343\pi$
$401$	−6.46345	−	5.42348i	−0.322770	−	0.270836i	−0.789746	+	0.613434i	$0.789788\pi$
$402$	11.8553	+	4.09135i	0.591287	+	0.204058i
$403$	−3.33593	−	18.9190i	−0.166174	−	0.942421i
$404$	5.46038	+	0.962813i	0.271664	+	0.0479017i
$405$	−0.602750	−	8.97979i	−0.0299509	−	0.446210i
$406$	−2.84812	−	4.93309i	−0.141350	−	0.244825i
$407$	10.7614	−	18.6393i	0.533423	−	0.923915i
$408$	11.0616	−	0.185361i	0.547632	−	0.00917675i
$409$	−4.01880	−	4.78942i	−0.198717	−	0.236822i	0.657479	−	0.753473i	$-0.271623\pi$
$409$	−4.01880	−	4.78942i	−0.198717	−	0.236822i	−0.856196	+	0.516651i	$0.827178\pi$
$410$	0.650688	+	0.375675i	0.0321352	+	0.0185533i
$411$	−1.60656	+	10.0978i	−0.0792456	+	0.498088i
$412$	5.49673	−	15.1021i	0.270804	−	0.744029i
$413$	3.65320	−	20.7183i	0.179762	−	1.01948i
$414$	3.09130	+	7.68209i	0.151929	+	0.377554i
$415$	4.61747	−	1.68062i	0.226663	−	0.0824985i
$416$	−2.18879	+	2.60850i	−0.107314	+	0.127892i
$417$	12.3429	−	15.2205i	0.604434	−	0.745350i
$418$	14.2985	+	10.0928i	0.699361	+	0.493655i
$419$			0.560643i			0.0273892i	0.999906	+	0.0136946i	$0.00435926\pi$
$419$			0.560643i			0.0273892i	−0.999906	+	0.0136946i	$0.995641\pi$
$420$	−1.34950	−	6.96852i	−0.0658487	−	0.340029i
$421$	4.97937	+	13.6807i	0.242680	+	0.666757i	0.999907	+	0.0136061i	$0.00433109\pi$
$421$	4.97937	+	13.6807i	0.242680	+	0.666757i	−0.757228	+	0.653151i	$0.773447\pi$
$422$	25.5993	−	4.51385i	1.24615	−	0.219731i
$423$	1.10765	+	33.0409i	0.0538560	+	1.60650i
$424$	−7.63026	−	2.77719i	−0.370558	−	0.134872i
$425$	−5.53158	+	3.19366i	−0.268321	+	0.154915i
$426$	5.67293	+	14.8094i	0.274855	+	0.717516i
$427$	−38.8405	+	32.5910i	−1.87962	+	1.57719i
$428$	4.11461	−	3.45257i	0.198887	−	0.166886i
$429$	−8.47112	−	22.1141i	−0.408990	−	1.06768i
$430$	5.78332	−	3.33900i	0.278896	−	0.161021i
$431$	32.4681	+	11.8174i	1.56393	+	0.569226i	0.971634	−	0.236491i	$-0.0759974\pi$
$431$	32.4681	+	11.8174i	1.56393	+	0.569226i	0.592301	+	0.805717i	$0.298220\pi$
$432$	−3.13580	+	4.14328i	−0.150871	+	0.199344i
$433$	−20.6540	+	3.64185i	−0.992567	+	0.175016i	−0.646270	−	0.763109i	$-0.723672\pi$
$433$	−20.6540	+	3.64185i	−0.992567	+	0.175016i	−0.346297	+	0.938125i	$0.612561\pi$
$434$	−7.90743	−	21.7255i	−0.379569	−	1.04286i
$435$	−0.457732	−	2.36363i	−0.0219466	−	0.113327i
$436$			12.8800i			0.616838i
$437$	8.53980	−	8.47538i	0.408514	−	0.405432i
$438$	6.36270	−	7.84608i	0.304021	−	0.374900i
$439$	−1.10264	+	1.31407i	−0.0526260	+	0.0627172i	−0.791715	−	0.610890i	$-0.790812\pi$
$439$	−1.10264	+	1.31407i	−0.0526260	+	0.0627172i	0.739089	+	0.673607i	$0.235256\pi$
$440$	−3.77303	+	1.37327i	−0.179872	+	0.0654681i
$441$	27.2573	−	10.9684i	1.29797	−	0.522307i
$442$	−3.77682	+	21.4194i	−0.179645	+	1.01882i
$443$	−6.10049	+	16.7610i	−0.289843	+	0.796337i	0.706245	+	0.707968i	$0.250388\pi$
$443$	−6.10049	+	16.7610i	−0.289843	+	0.796337i	−0.996088	+	0.0883694i	$0.971834\pi$
$444$	1.45880	−	9.16910i	0.0692316	−	0.435146i
$445$	−5.58014	−	3.22170i	−0.264524	−	0.152723i
$446$	−4.72910	−	5.63592i	−0.223929	−	0.266869i
$447$	−24.0143	+	0.402411i	−1.13584	+	0.0190334i
$448$	−2.04901	+	3.54899i	−0.0968067	+	0.167674i
$449$	0.701803	+	1.21556i	0.0331201	+	0.0573658i	0.882110	−	0.471043i	$-0.156122\pi$
$449$	0.701803	+	1.21556i	0.0331201	+	0.0573658i	−0.848990	+	0.528409i	$0.822789\pi$
$450$	0.421664	−	2.97022i	0.0198774	−	0.140017i
$451$	2.97097	+	0.523862i	0.139898	+	0.0246677i
$452$	−0.677631	−	3.84304i	−0.0318731	−	0.180761i
$453$	−28.6747	−	9.89586i	−1.34725	−	0.464948i
$454$	16.0805	+	13.4932i	0.754696	+	0.633265i
$455$	13.9544			0.654193
$456$	7.31731	+	1.85930i	0.342664	+	0.0870697i
$457$	14.9335			0.698560			0.349280	−	0.937018i	$-0.386426\pi$
$457$	14.9335			0.698560			0.349280	+	0.937018i	$0.386426\pi$
$458$	7.97961	+	6.69569i	0.372863	+	0.312869i
$459$	−4.11373	+	32.9336i	−0.192012	+	1.53721i
$460$	0.479312	+	2.71831i	0.0223480	+	0.126742i
$461$	−30.4793	−	5.37432i	−1.41956	−	0.250307i	−0.589406	−	0.807837i	$-0.700638\pi$
$461$	−30.4793	−	5.37432i	−1.41956	−	0.250307i	−0.830157	+	0.557530i	$0.811749\pi$
$462$	−14.6614	−	24.4392i	−0.682108	−	1.13702i
$463$	8.42612	+	14.5945i	0.391595	+	0.678262i	0.992660	−	0.120938i	$-0.0385902\pi$
$463$	8.42612	+	14.5945i	0.391595	+	0.678262i	−0.601065	+	0.799200i	$0.705257\pi$
$464$	−0.694999	+	1.20377i	−0.0322645	+	0.0558837i
$465$	−0.163723	−	9.77032i	−0.00759246	−	0.453088i
$466$	−10.0479	−	11.9746i	−0.465458	−	0.554712i
$467$	8.87511	+	5.12405i	0.410691	+	0.237113i	0.691087	−	0.722772i	$-0.257132\pi$
$467$	8.87511	+	5.12405i	0.410691	+	0.237113i	−0.280396	+	0.959885i	$0.590466\pi$
$468$	−6.82488	−	7.60110i	−0.315480	−	0.351361i
$469$	−10.1487	+	27.8834i	−0.468624	+	1.28753i
$470$	−1.91357	+	10.8524i	−0.0882665	+	0.500584i
$471$	9.91518	+	5.50512i	0.456867	+	0.253663i
$472$	−4.82408	+	1.75582i	−0.222046	+	0.0808182i
$473$	17.2353	−	20.5402i	0.792479	−	0.944440i
$474$	5.58032	+	4.52530i	0.256312	+	0.207854i
$475$	−4.21461	+	1.11222i	−0.193380	+	0.0510320i
$476$			26.1754i			1.19975i
$477$	11.4663	−	21.4925i	0.525004	−	0.984074i
$478$	−9.92283	−	27.2628i	−0.453860	−	1.24697i
$479$	13.5196	−	2.38387i	0.617727	−	0.108922i	0.143977	−	0.989581i	$-0.454011\pi$
$479$	13.5196	−	2.38387i	0.617727	−	0.108922i	0.473751	+	0.880659i	$0.342900\pi$
$480$	−1.30799	+	1.13542i	−0.0597012	+	0.0518244i
$481$	17.1521	+	6.24285i	0.782068	+	0.284649i
$482$	−24.3467	+	14.0566i	−1.10896	+	0.640259i
$483$	−18.2958	+	7.00845i	−0.832487	+	0.318896i
$484$	−3.92340	+	3.29213i	−0.178336	+	0.149642i
$485$	9.34104	−	7.83806i	0.424155	−	0.355908i
$486$	−10.9842	−	11.0611i	−0.498253	−	0.501741i
$487$	−5.04565	+	2.91311i	−0.228640	+	0.132005i	−0.609945	−	0.792444i	$-0.708808\pi$
$487$	−5.04565	+	2.91311i	−0.228640	+	0.132005i	0.381304	+	0.924450i	$0.375475\pi$
$488$	11.6263	+	4.23163i	0.526298	+	0.191557i
$489$	−8.21263	−	9.46088i	−0.371388	−	0.427836i
$490$	9.64501	−	1.70067i	0.435717	−	0.0768287i
$491$	−3.96829	−	10.9028i	−0.179086	−	0.492036i	0.817373	−	0.576109i	$-0.195429\pi$
$491$	−3.96829	−	10.9028i	−0.179086	−	0.492036i	−0.996460	+	0.0840726i	$0.973207\pi$
$492$	1.27764	−	0.247423i	0.0576004	−	0.0111547i
$493$			8.87836i			0.399861i
$494$	−6.32370	+	13.4282i	−0.284517	+	0.604165i
$495$	−2.48796	−	11.7858i	−0.111826	−	0.529732i
$496$	−3.62641	+	4.32178i	−0.162831	+	0.194054i
$497$	−35.2589	+	12.8332i	−1.58158	+	0.575647i
$498$	4.13139	−	7.44098i	0.185132	−	0.333438i
$499$	0.283764	−	1.60930i	0.0127030	−	0.0720423i	−0.977797	−	0.209553i	$-0.932799\pi$
$499$	0.283764	−	1.60930i	0.0127030	−	0.0720423i	0.990500	+	0.137511i	$0.0439102\pi$
$500$	0.342020	−	0.939693i	0.0152956	−	0.0420243i
$501$	−13.5765	−	2.16002i	−0.606554	−	0.0965026i
$502$	−16.9018	−	9.75826i	−0.754365	−	0.435533i
$503$	−6.49417	−	7.73945i	−0.289561	−	0.345085i	0.601580	−	0.798813i	$-0.294538\pi$
$503$	−6.49417	−	7.73945i	−0.289561	−	0.345085i	−0.891140	+	0.453728i	$0.850094\pi$
$504$	−9.67729	−	7.58250i	−0.431061	−	0.337751i
$505$	−2.77231	+	4.80178i	−0.123366	+	0.213676i
$506$	5.54144	+	9.59805i	0.246347	+	0.426686i
$507$	−2.08670	+	1.25183i	−0.0926735	+	0.0555959i
$508$	−6.88656	−	1.21429i	−0.305542	−	0.0538752i
$509$	0.762743	+	4.32573i	0.0338080	+	0.191735i	0.997034	−	0.0769562i	$-0.0245202\pi$
$509$	0.762743	+	4.32573i	0.0338080	+	0.191735i	−0.963227	+	0.268691i	$0.913409\pi$
$510$	−3.60911	+	10.4579i	−0.159814	+	0.463084i
$511$	18.3089	+	15.3630i	0.809940	+	0.679620i
$512$	1.00000			0.0441942
$513$	−8.60798	+	20.9500i	−0.380051	+	0.924965i
$514$	9.99499			0.440860
$515$	12.3114	+	10.3305i	0.542504	+	0.455215i
$516$	3.77336	−	10.9338i	0.166113	−	0.481335i
$517$	7.68333	+	43.5743i	0.337912	+	1.91640i
$518$	21.6332	+	3.81451i	0.950507	+	0.167600i
$519$	−9.77701	+	5.86534i	−0.429163	+	0.257460i
$520$	−1.70258	−	2.94895i	−0.0746630	−	0.129320i
$521$	−19.1266	+	33.1282i	−0.837950	+	1.45137i	0.0536559	+	0.998559i	$0.482913\pi$
$521$	−19.1266	+	33.1282i	−0.837950	+	1.45137i	−0.891606	+	0.452812i	$0.850421\pi$
$522$	−3.28241	−	2.57189i	−0.143667	−	0.112568i
$523$	−22.6007	−	26.9345i	−0.988261	−	1.17776i	−0.984072	−	0.177772i	$-0.943111\pi$
$523$	−22.6007	−	26.9345i	−0.988261	−	1.17776i	−0.00418918	−	0.999991i	$-0.501333\pi$
$524$	14.1368	+	8.16186i	0.617567	+	0.356552i
$525$	7.00982	+	1.11526i	0.305934	+	0.0486740i
$526$	−7.62217	+	20.9417i	−0.332342	+	0.913103i
$527$	−6.25746	+	35.4878i	−0.272579	+	1.54587i
$528$	−3.37585	+	6.08018i	−0.146915	+	0.264606i
$529$	−14.4534	+	5.26062i	−0.628411	+	0.228723i
$530$	5.21941	−	6.22025i	0.226716	−	0.270190i
$531$	−3.18103	−	15.0689i	−0.138045	−	0.653936i
$532$	−4.68855	+	17.2366i	−0.203274	+	0.747300i
$533$			2.55846i			0.110819i
$534$	−10.9567	+	2.12184i	−0.474144	+	0.0918209i
$535$	1.83707	+	5.04731i	0.0794236	+	0.218214i
$536$	7.13077	−	1.25735i	0.308002	−	0.0543091i
$537$	14.1985	+	16.3565i	0.612709	+	0.705835i
$538$	−10.4055	−	3.78730i	−0.448613	−	0.163282i
$539$	34.0554	−	19.6619i	1.46687	−	0.846898i
$540$	−2.82090	−	4.36377i	−0.121392	−	0.187787i
$541$	26.5298	−	22.2611i	1.14060	−	0.957080i	0.141145	−	0.989989i	$-0.454922\pi$
$541$	26.5298	−	22.2611i	1.14060	−	0.957080i	0.999458	+	0.0329088i	$0.0104771\pi$
$542$	−21.3080	+	17.8795i	−0.915255	+	0.767990i
$543$	33.2707	−	12.7448i	1.42778	−	0.546931i
$544$	5.53158	−	3.19366i	0.237165	−	0.136927i
$545$	−12.1032	−	4.40520i	−0.518444	−	0.188698i
$546$	18.2522	−	15.8440i	0.781122	−	0.678063i
$547$	−33.3155	+	5.87443i	−1.42447	+	0.251172i	−0.832159	−	0.554538i	$-0.812895\pi$
$547$	−33.3155	+	5.87443i	−1.42447	+	0.251172i	−0.592310	+	0.805710i	$0.701784\pi$
$548$	2.01904	+	5.54728i	0.0862493	+	0.236968i
$549$	−17.4713	+	32.7484i	−0.745656	+	1.39767i
$550$		−	4.01518i		−	0.171208i
$551$	−1.59030	+	5.84643i	−0.0677489	+	0.249066i
$552$	3.71335	+	3.01130i	0.158051	+	0.128170i
$553$	−10.9266	+	13.0218i	−0.464644	+	0.553741i
$554$	26.0505	−	9.48162i	1.10678	−	0.402835i
$555$	8.11719	+	4.50684i	0.344556	+	0.191305i
$556$	1.96463	−	11.1420i	0.0833189	−	0.472525i
$557$	−7.22790	+	19.8585i	−0.306256	+	0.841431i	0.687122	+	0.726542i	$0.258874\pi$
$557$	−7.22790	+	19.8585i	−0.306256	+	0.841431i	−0.993378	+	0.114889i	$0.963349\pi$
$558$	−11.3075	−	12.5936i	−0.478685	−	0.533128i
$559$	19.6931	+	11.3698i	0.832929	+	0.480892i
$560$	−2.63416	−	3.13927i	−0.111314	−	0.132658i
$561$	0.744258	+	44.4143i	0.0314226	+	1.87517i
$562$	5.51172	−	9.54658i	0.232498	−	0.402698i
$563$	−2.66334	−	4.61304i	−0.112246	−	0.194416i	0.804429	−	0.594048i	$-0.202471\pi$
$563$	−2.66334	−	4.61304i	−0.112246	−	0.194416i	−0.916676	+	0.399632i	$0.869138\pi$
$564$	9.81906	+	16.3675i	0.413457	+	0.689197i
$565$	3.84304	+	0.677631i	0.161678	+	0.0285082i
$566$	−1.10797	−	6.28358i	−0.0465713	−	0.264119i
$567$	26.6022	−	25.5464i	1.11719	−	1.07285i
$568$	7.01394	+	5.88539i	0.294298	+	0.246946i
$569$	−12.7104			−0.532850			−0.266425	−	0.963856i	$-0.585842\pi$
$569$	−12.7104			−0.532850			−0.266425	+	0.963856i	$0.585842\pi$
$570$	−4.24984	+	6.24010i	−0.178006	+	0.261369i
$571$	25.9915			1.08771			0.543855	−	0.839179i	$-0.316964\pi$
$571$	25.9915			1.08771			0.543855	+	0.839179i	$0.316964\pi$
$572$	−10.4736	−	8.78838i	−0.437923	−	0.367461i
$573$	42.2162	+	14.5692i	1.76361	+	0.608636i
$574$	0.534671	+	3.03227i	0.0223167	+	0.126565i
$575$	−2.71831	−	0.479312i	−0.113361	−	0.0199887i
$576$	−0.421664	+	2.97022i	−0.0175693	+	0.123759i
$577$	22.6060	+	39.1547i	0.941099	+	1.63003i	0.763380	+	0.645950i	$0.223538\pi$
$577$	22.6060	+	39.1547i	0.941099	+	1.63003i	0.177719	+	0.984081i	$0.443128\pi$
$578$	11.8990	−	20.6096i	0.494931	−	0.857246i
$579$	8.61608	−	0.144381i	0.358072	−	0.00600027i
$580$	−0.893473	−	1.06480i	−0.0370994	−	0.0442134i
$581$	17.4391	+	10.0685i	0.723495	+	0.417710i
$582$	3.31851	−	20.8581i	0.137557	−	0.864594i
$583$	11.1509	−	30.6368i	0.461823	−	1.26885i
$584$	1.01276	−	5.74363i	0.0419082	−	0.237673i
$585$	9.47695	−	3.81356i	0.391823	−	0.157671i
$586$	−0.763999	+	0.278073i	−0.0315605	+	0.0114871i
$587$	−14.8741	+	17.7262i	−0.613918	+	0.731639i	−0.980012	−	0.198939i	$-0.936251\pi$
$587$	−14.8741	+	17.7262i	−0.613918	+	0.731639i	0.366094	+	0.930578i	$0.380695\pi$
$588$	10.6846	−	13.1756i	0.440625	−	0.543351i
$589$	−10.4772	+	22.2480i	−0.431704	+	0.916713i
$590$		−	5.13368i		−	0.211350i
$591$	2.78427	+	14.3774i	0.114529	+	0.591405i
$592$	−1.83335	−	5.03709i	−0.0753503	−	0.207023i
$593$	4.49743	−	0.793017i	0.184687	−	0.0325653i	−0.0805395	−	0.996751i	$-0.525664\pi$
$593$	4.49743	−	0.793017i	0.184687	−	0.0325653i	0.265227	+	0.964186i	$0.414553\pi$
$594$	−16.6360	−	12.5908i	−0.682583	−	0.516607i
$595$	−24.5968	−	8.95252i	−1.00837	−	0.367017i
$596$	−12.0088	+	6.93329i	−0.491900	+	0.283999i
$597$	−13.7416	−	35.8728i	−0.562405	−	1.46817i
$598$	−7.20010	+	6.04160i	−0.294434	+	0.247060i
$599$	9.01906	−	7.56789i	0.368509	−	0.309216i	−0.439663	−	0.898163i	$-0.644902\pi$
$599$	9.01906	−	7.56789i	0.368509	−	0.309216i	0.808171	+	0.588947i	$0.200458\pi$
$600$	−0.619583	−	1.61744i	−0.0252944	−	0.0660318i
$601$	10.8754	−	6.27893i	0.443618	−	0.256123i	−0.261513	−	0.965200i	$-0.584222\pi$
$601$	10.8754	−	6.27893i	0.443618	−	0.256123i	0.705131	+	0.709077i	$0.250888\pi$
$602$	25.7162	+	9.35993i	1.04811	+	0.381482i
$603$	0.727804	+	21.7101i	0.0296385	+	0.884105i
$604$	−17.2474	+	3.04118i	−0.701787	+	0.123744i
$605$	−1.75170	−	4.81277i	−0.0712169	−	0.195667i
$606$	1.82587	+	9.42839i	0.0741708	+	0.383002i
$607$		−	30.4878i		−	1.23746i	−0.785603	−	0.618731i	$-0.787647\pi$
$607$		−	30.4878i		−	1.23746i	0.785603	−	0.618731i	$-0.212353\pi$
$608$	4.21461	−	1.11222i	0.170925	−	0.0451063i
$609$	6.21434	−	7.66313i	0.251818	−	0.310526i
$610$	−7.95286	+	9.47785i	−0.322002	+	0.383747i
$611$	−35.2612	+	12.8340i	−1.42652	+	0.519209i
$612$	7.15340	+	17.7767i	0.289159	+	0.718579i
$613$	−2.58030	+	14.6336i	−0.104218	+	0.591047i	0.887312	+	0.461169i	$0.152570\pi$
$613$	−2.58030	+	14.6336i	−0.104218	+	0.591047i	−0.991530	+	0.129878i	$0.958541\pi$
$614$	6.00096	−	16.4875i	0.242179	−	0.665381i
$615$	−0.204477	+	1.28521i	−0.00824530	+	0.0518247i
$616$	−14.2498	−	8.22714i	−0.574142	−	0.331481i
$617$	0.801582	+	0.955288i	0.0322705	+	0.0384585i	0.781938	−	0.623356i	$-0.214231\pi$
$617$	0.801582	+	0.955288i	0.0322705	+	0.0384585i	−0.749668	+	0.661814i	$0.769787\pi$
$618$	27.8325	−	0.466394i	1.11959	−	0.0187611i
$619$	−3.73949	+	6.47699i	−0.150303	+	0.260332i	−0.931339	−	0.364154i	$-0.881358\pi$
$619$	−3.73949	+	6.47699i	−0.150303	+	0.260332i	0.781036	+	0.624486i	$0.214692\pi$
$620$	−2.82084	−	4.88585i	−0.113288	−	0.196220i
$621$	−10.5100	+	9.75970i	−0.421752	+	0.391643i
$622$	−24.8271	−	4.37770i	−0.995478	−	0.175530i
$623$	−4.58521	−	26.0040i	−0.183703	−	1.04183i
$624$	−5.57523	−	1.92406i	−0.223188	−	0.0770240i
$625$	0.766044	+	0.642788i	0.0306418	+	0.0257115i
$626$	27.8897			1.11470
$627$	−7.46542	+	29.3803i	−0.298140	+	1.17334i
$628$	6.54770			0.261282
$629$	−26.2281	−	22.0080i	−1.04578	−	0.877517i
$630$	10.4350	−	6.50031i	0.415742	−	0.258979i
$631$	1.50462	+	8.53315i	0.0598982	+	0.339699i	0.999999	−	0.00119638i	$-0.000380819\pi$
$631$	1.50462	+	8.53315i	0.0598982	+	0.339699i	−0.940101	+	0.340896i	$0.889270\pi$
$632$	4.08501	+	0.720297i	0.162493	+	0.0286519i
$633$	23.1618	+	38.6087i	0.920598	+	1.53456i
$634$	10.1505	+	17.5811i	0.403127	+	0.698236i
$635$	3.49640	−	6.05594i	0.138750	−	0.240323i
$636$	−0.235642	−	14.0622i	−0.00934383	−	0.557602i
$637$	21.4366	+	25.5471i	0.849348	+	1.01221i
$638$	−4.83336	−	2.79054i	−0.191355	−	0.110479i
$639$	−20.4384	+	18.3513i	−0.808532	+	0.725965i
$640$	−0.342020	+	0.939693i	−0.0135195	+	0.0371446i
$641$	−4.17200	+	23.6606i	−0.164784	+	0.934537i	0.784503	+	0.620126i	$0.212918\pi$
$641$	−4.17200	+	23.6606i	−0.164784	+	0.934537i	−0.949287	+	0.314412i	$0.898193\pi$
$642$	8.13367	+	4.51599i	0.321010	+	0.178232i
$643$	47.0376	−	17.1203i	1.85498	−	0.675158i	0.872554	−	0.488517i	$-0.162462\pi$
$643$	47.0376	−	17.1203i	1.85498	−	0.675158i	0.982428	−	0.186641i	$-0.0597602\pi$
$644$	−7.27093	+	8.66516i	−0.286515	+	0.341455i
$645$	8.98388	+	7.28539i	0.353740	+	0.286862i
$646$	19.7615	−	19.6124i	0.777504	−	0.771638i
$647$		−	10.8255i		−	0.425593i	−0.977097	−	0.212797i	$-0.931743\pi$
$647$		−	10.8255i		−	0.425593i	0.977097	−	0.212797i	$-0.0682572\pi$
$648$	−8.64440	−	2.50487i	−0.339584	−	0.0984006i
$649$	−7.04993	−	19.3695i	−0.276734	−	0.760320i
$650$	3.35342	−	0.591299i	0.131532	−	0.0231927i
$651$	30.2404	−	26.2505i	1.18521	−	1.02884i
$652$	−6.79694	−	2.47388i	−0.266189	−	0.0968848i
$653$	7.07356	−	4.08392i	0.276810	−	0.159816i	−0.355168	−	0.934802i	$-0.615576\pi$
$653$	7.07356	−	4.08392i	0.276810	−	0.159816i	0.631978	+	0.774986i	$0.282243\pi$
$654$	−20.8326	+	7.98020i	−0.814618	+	0.312051i
$655$	−12.5047	+	10.4927i	−0.488599	+	0.409983i
$656$	0.575567	−	0.482958i	0.0224721	−	0.0188564i
$657$	16.6328	+	5.42999i	0.648907	+	0.211844i
$658$	−39.1093	+	22.5797i	−1.52464	+	0.880250i
$659$	22.3563	+	8.13703i	0.870878	+	0.316974i	0.738523	−	0.674229i	$-0.235524\pi$
$659$	22.3563	+	8.13703i	0.870878	+	0.316974i	0.132355	+	0.991202i	$0.457746\pi$
$660$	−4.55889	−	5.25180i	−0.177455	−	0.204426i
$661$	−10.2577	+	1.80872i	−0.398980	+	0.0703510i	−0.369538	−	0.929216i	$-0.620484\pi$
$661$	−10.2577	+	1.80872i	−0.398980	+	0.0703510i	−0.0294419	+	0.999566i	$0.509373\pi$
$662$	6.10796	+	16.7815i	0.237393	+	0.652231i
$663$	−36.9847	+	7.16232i	−1.43637	+	0.278161i
$664$		−	4.91381i		−	0.190693i
$665$	−14.5935	−	10.3011i	−0.565912	−	0.399458i
$666$	15.7343	−	3.32149i	0.609693	−	0.128705i
$667$	−2.46621	+	2.93911i	−0.0954919	+	0.113803i
$668$	−7.45834	+	2.71461i	−0.288572	+	0.105032i
$669$	6.18570	−	11.1410i	0.239153	−	0.430734i
$670$	−1.25735	+	7.13077i	−0.0485756	+	0.275486i
$671$	−16.9907	+	46.6817i	−0.655920	+	1.80213i
$672$	−7.00982	−	1.11526i	−0.270410	−	0.0430221i
$673$	−13.9670	−	8.06383i	−0.538387	−	0.310838i	0.206038	−	0.978544i	$-0.433943\pi$
$673$	−13.9670	−	8.06383i	−0.538387	−	0.310838i	−0.744425	+	0.667706i	$0.767276\pi$
$674$	10.2266	+	12.1876i	0.393915	+	0.469450i
$675$	5.06541	−	1.15828i	0.194968	−	0.0445822i
$676$	−0.702460	+	1.21670i	−0.0270177	+	0.0467960i
$677$	−16.5672	−	28.6953i	−0.636731	−	1.10285i	−0.986146	−	0.165882i	$-0.946953\pi$
$677$	−16.5672	−	28.6953i	−0.636731	−	1.10285i	0.349415	−	0.936968i	$-0.386380\pi$
$678$	5.79604	−	3.47711i	0.222595	−	0.133538i
$679$	49.2116	+	8.67733i	1.88857	+	0.333005i
$680$	1.10915	+	6.29029i	0.0425339	+	0.241221i
$681$	−11.8612	+	34.3694i	−0.454521	+	1.31704i
$682$	−17.3527	−	14.5607i	−0.664470	−	0.557557i
$683$	32.5896			1.24701			0.623503	−	0.781821i	$-0.285709\pi$
$683$	32.5896			1.24701			0.623503	+	0.781821i	$0.285709\pi$
$684$	1.52637	+	12.9873i	0.0583623	+	0.496582i
$685$	−5.90329			−0.225553
$686$	8.77048	+	7.35930i	0.334858	+	0.280980i
$687$	−5.88585	+	17.0551i	−0.224559	+	0.650692i
$688$	−1.15962	−	6.57655i	−0.0442102	−	0.250728i
$689$	27.2296	+	4.80132i	1.03737	+	0.182916i
$690$	−4.09974	+	2.45948i	−0.156074	+	0.0936308i
$691$	−8.39992	−	14.5491i	−0.319548	−	0.553473i	0.660846	−	0.750522i	$-0.270198\pi$
$691$	−8.39992	−	14.5491i	−0.319548	−	0.553473i	−0.980394	+	0.197048i	$0.936864\pi$
$692$	−3.29130	+	5.70070i	−0.125117	+	0.216708i
$693$	30.4451	−	38.8560i	1.15651	−	1.47602i
$694$	−17.3027	−	20.6205i	−0.656800	−	0.782744i
$695$	9.79809	+	5.65693i	0.371663	+	0.214580i
$696$	−2.37764	−	0.378282i	−0.0901243	−	0.0143387i
$697$	1.64139	−	4.50969i	0.0621722	−	0.170817i
$698$	4.99911	−	28.3514i	0.189219	−	1.07311i
$699$	13.1427	−	23.6711i	0.497102	−	0.895323i
$700$	3.85088	−	1.40161i	0.145550	−	0.0529757i
$701$	−6.66830	+	7.94697i	−0.251858	+	0.300153i	−0.877129	−	0.480255i	$-0.840544\pi$
$701$	−6.66830	+	7.94697i	−0.251858	+	0.300153i	0.625271	+	0.780408i	$0.284989\pi$
$702$	8.06575	−	15.7484i	0.304422	−	0.594383i
$703$	−13.3292	−	19.1903i	−0.502721	−	0.723777i
$704$			4.01518i			0.151328i
$705$	−18.7387	+	3.62888i	−0.705742	+	0.136671i
$706$	−7.76368	−	21.3305i	−0.292190	−	0.802785i
$707$	−22.3768	+	3.94563i	−0.841565	+	0.148391i
$708$	−5.82885	−	6.71479i	−0.219062	−	0.252357i
$709$	−27.3842	−	9.96702i	−1.02843	−	0.374319i	−0.227949	−	0.973673i	$-0.573202\pi$
$709$	−27.3842	−	9.96702i	−1.02843	−	0.374319i	−0.800484	+	0.599354i	$0.795424\pi$
$710$	−7.92937	+	4.57802i	−0.297584	+	0.171810i
$711$	−3.86194	+	11.8296i	−0.144834	+	0.443646i
$712$	−4.93592	+	4.14173i	−0.184982	+	0.155218i
$713$	−11.9292	+	10.0098i	−0.446752	+	0.374869i
$714$	−42.3372	+	16.2178i	−1.58443	+	0.606937i
$715$	11.8406	−	6.83615i	0.442812	−	0.255657i
$716$	11.7509	+	4.27699i	0.439153	+	0.159839i
$717$	37.9479	−	32.9411i	1.41719	−	1.23021i
$718$	15.6551	−	2.76042i	0.584244	−	0.103018i
$719$	−1.12017	−	3.07765i	−0.0417754	−	0.114777i	0.917051	−	0.398770i	$-0.130563\pi$
$719$	−1.12017	−	3.07765i	−0.0417754	−	0.114777i	−0.958826	+	0.283993i	$0.908341\pi$
$720$	−2.64687	−	1.41211i	−0.0986432	−	0.0526262i
$721$			65.8608i			2.45279i
$722$	16.5260	−	9.37512i	0.615032	−	0.348906i
$723$	−37.8205	−	30.6701i	−1.40656	−	1.14063i
$724$	13.2221	−	15.7575i	0.491396	−	0.585623i
$725$	1.30617	−	0.475407i	0.0485099	−	0.0176562i
$726$	−7.75569	−	4.30613i	−0.287841	−	0.159815i
$727$	−0.114928	+	0.651788i	−0.00426243	+	0.0241735i	−0.986865	−	0.161548i	$-0.948351\pi$
$727$	−0.114928	+	0.651788i	−0.00426243	+	0.0241735i	0.982602	+	0.185722i	$0.0594623\pi$
$728$	4.77269	−	13.1129i	0.176888	−	0.485995i
$729$	11.0850	−	24.6195i	0.410557	−	0.911835i
$730$	5.05086	+	2.91612i	0.186941	+	0.107930i
$731$	−27.4178	−	32.6753i	−1.01408	−	1.20854i
$732$	0.359051	+	21.4267i	0.0132709	+	0.791954i
$733$	10.3800	−	17.9787i	0.383394	−	0.664057i	−0.608151	−	0.793821i	$-0.708089\pi$
$733$	10.3800	−	17.9787i	0.383394	−	0.664057i	0.991545	+	0.129764i	$0.0414219\pi$
$734$	7.90464	+	13.6912i	0.291766	+	0.505353i
$735$	8.72663	+	14.5465i	0.321886	+	0.536557i
$736$	2.71831	+	0.479312i	0.100198	+	0.0176677i
$737$	5.04847	+	28.6313i	0.185963	+	1.05465i
$738$	1.19180	+	1.91321i	0.0438706	+	0.0704261i
$739$	−9.32879	−	7.82778i	−0.343165	−	0.287950i	0.454874	−	0.890556i	$-0.349684\pi$
$739$	−9.32879	−	7.82778i	−0.343165	−	0.287950i	−0.798039	+	0.602606i	$0.794129\pi$
$740$	5.36036			0.197051
$741$	−25.6374	−	1.90830i	−0.941815	−	0.0701033i
$742$	33.2758			1.22159
$743$	−35.8542	−	30.0853i	−1.31536	−	1.10372i	−0.987266	−	0.159078i	$-0.949148\pi$
$743$	−35.8542	−	30.0853i	−1.31536	−	1.10372i	−0.328098	−	0.944644i	$-0.606408\pi$
$744$	−9.23709	−	3.18780i	−0.338648	−	0.116870i
$745$	−2.40791	−	13.6559i	−0.0882189	−	0.500314i
$746$	−27.2466	−	4.80431i	−0.997568	−	0.175898i
$747$	14.5951	+	2.07198i	0.534007	+	0.0758098i
$748$	12.8231	+	22.2103i	0.468860	+	0.812089i
$749$	−11.0057	+	19.0625i	−0.402141	+	0.696528i
$750$	1.73181	−	0.0290202i	0.0632367	−	0.00105967i
$751$	−6.68474	−	7.96656i	−0.243930	−	0.290704i	0.630163	−	0.776462i	$-0.282988\pi$
$751$	−6.68474	−	7.96656i	−0.243930	−	0.290704i	−0.874093	+	0.485759i	$0.838543\pi$
$752$	9.54344	+	5.50991i	0.348014	+	0.200926i
$753$	5.31134	−	33.3837i	0.193556	−	1.21657i
$754$	1.61883	−	4.44771i	0.0589545	−	0.161976i
$755$	3.04118	−	17.2474i	0.110680	−	0.627697i
$756$	6.26836	−	20.3504i	0.227978	−	0.740138i
$757$	−7.29182	+	2.65400i	−0.265026	+	0.0964614i	−0.471115	−	0.882072i	$-0.656148\pi$
$757$	−7.29182	+	2.65400i	−0.265026	+	0.0964614i	0.206090	+	0.978533i	$0.433926\pi$
$758$	−12.4572	+	14.8460i	−0.452468	+	0.539230i
$759$	−12.0909	+	14.9097i	−0.438872	+	0.541189i
$760$	−0.396342	+	4.34084i	−0.0143768	+	0.157459i
$761$		−	52.9640i		−	1.91994i	−0.280098	−	0.959971i	$-0.590367\pi$
$761$		−	52.9640i		−	1.91994i	0.280098	−	0.959971i	$-0.409633\pi$
$762$	−2.30276	−	11.8910i	−0.0834202	−	0.430764i
$763$	−18.0526	−	49.5992i	−0.653549	−	1.79561i
$764$	25.3925	−	4.47738i	0.918667	−	0.161986i
$765$	−19.1512	+	0.642020i	−0.692414	+	0.0232123i
$766$	−13.4130	−	4.88192i	−0.484630	−	0.176391i
$767$	15.1390	−	8.74048i	0.546636	−	0.315601i
$768$	0.619583	+	1.61744i	0.0223573	+	0.0583644i
$769$	−16.0988	+	13.5085i	−0.580537	+	0.487128i	−0.885123	−	0.465356i	$-0.845926\pi$
$769$	−16.0988	+	13.5085i	−0.580537	+	0.487128i	0.304587	+	0.952485i	$0.401482\pi$
$770$	12.6047	−	10.5766i	0.454242	−	0.381155i
$771$	6.19273	+	16.1663i	0.223026	+	0.582215i
$772$	4.30865	−	2.48760i	0.155072	−	0.0895306i
$773$	−17.2341	−	6.27269i	−0.619866	−	0.225613i	0.0129483	−	0.999916i	$-0.495878\pi$
$773$	−17.2341	−	6.27269i	−0.619866	−	0.225613i	−0.632815	+	0.774303i	$0.718101\pi$
$774$	20.0228	−	0.671237i	0.719703	−	0.0241271i
$775$	5.55598	−	0.979669i	0.199577	−	0.0351908i
$776$	−4.17055	−	11.4585i	−0.149714	−	0.411336i
$777$	7.23380	+	37.3538i	0.259511	+	1.34006i
$778$			7.21360i			0.258620i
$779$	1.88864	−	2.67564i	0.0676676	−	0.0958647i
$780$	3.71487	−	4.58094i	0.133014	−	0.164024i
$781$	−23.6309	+	28.1622i	−0.845580	+	1.00772i
$782$	16.5673	−	6.03002i	0.592447	−	0.215633i
$783$	2.12615	−	6.90261i	0.0759823	−	0.246679i
$784$	1.70067	−	9.64501i	0.0607384	−	0.344465i
$785$	−2.23945	+	6.15282i	−0.0799292	+	0.219604i
$786$	−4.44243	+	27.9223i	−0.158456	+	0.995956i
$787$	−25.2398	−	14.5722i	−0.899701	−	0.519443i	−0.0225978	−	0.999745i	$-0.507194\pi$
$787$	−25.2398	−	14.5722i	−0.899701	−	0.519443i	−0.877103	+	0.480302i	$0.840527\pi$
$788$	5.43476	+	6.47690i	0.193605	+	0.230730i
$789$	−38.5946	+	0.646736i	−1.37400	+	0.0230244i
$790$	−2.07401	+	3.59229i	−0.0737900	+	0.127808i
$791$	7.99590	+	13.8493i	0.284302	+	0.492425i
$792$	−11.9260	−	1.69306i	−0.423770	−	0.0601602i
$793$	−41.4901	−	7.31582i	−1.47336	−	0.259792i
$794$	0.665498	+	3.77423i	0.0236176	+	0.133942i
$795$	13.2947	+	4.58812i	0.471516	+	0.162724i
$796$	−16.9899	−	14.2562i	−0.602190	−	0.505298i
$797$	2.40093			0.0850452			0.0425226	−	0.999096i	$-0.486461\pi$
$797$	2.40093			0.0850452			0.0425226	+	0.999096i	$0.486461\pi$
$798$	−30.7841	+	3.09604i	−1.08975	+	0.109599i
$799$	70.3872			2.49012
$800$	−0.766044	−	0.642788i	−0.0270838	−	0.0227260i
$801$	−10.2205	−	16.4072i	−0.361125	−	0.579720i
$802$	−1.46515	−	8.30926i	−0.0517361	−	0.293410i
$803$	23.0617	+	4.06640i	0.813829	+	0.143500i
$804$	6.45179	+	10.7546i	0.227537	+	0.379285i
$805$	−5.65578	−	9.79610i	−0.199340	−	0.345267i
$806$	9.60541	−	16.6371i	0.338336	−	0.586016i
$807$	−0.321349	−	19.1768i	−0.0113120	−	0.675057i
$808$	3.56401	+	4.24742i	0.125382	+	0.149424i
$809$	−14.5819	−	8.41886i	−0.512672	−	0.295991i	0.221259	−	0.975215i	$-0.428983\pi$
$809$	−14.5819	−	8.41886i	−0.512672	−	0.295991i	−0.733931	+	0.679224i	$0.762317\pi$
$810$	5.31037	−	7.26636i	0.186587	−	0.255314i
$811$	−9.53033	+	26.1844i	−0.334655	+	0.919457i	0.652228	+	0.758023i	$0.273834\pi$
$811$	−9.53033	+	26.1844i	−0.334655	+	0.919457i	−0.986883	+	0.161435i	$0.948388\pi$
$812$	0.989142	−	5.60970i	0.0347121	−	0.196862i
$813$	−42.1211	−	23.3865i	−1.47725	−	0.820202i
$814$	20.2248	−	7.36123i	0.708879	−	0.258011i
$815$	4.64938	−	5.54092i	0.162861	−	0.194090i
$816$	8.59284	+	6.96828i	0.300809	+	0.243938i
$817$	−12.2019	−	26.4279i	−0.426891	−	0.924594i
$818$		−	6.25215i		−	0.218601i
$819$	36.9356	+	19.7051i	1.29063	+	0.688554i
$820$	0.256977	+	0.706038i	0.00897402	+	0.0246559i
$821$	0.292293	−	0.0515392i	0.0102011	−	0.00179873i	−0.168545	−	0.985694i	$-0.553907\pi$
$821$	0.292293	−	0.0515392i	0.0102011	−	0.00179873i	0.178746	+	0.983895i	$0.442796\pi$
$822$	−7.72143	+	6.70269i	−0.269316	+	0.233783i
$823$	−26.3868	−	9.60401i	−0.919787	−	0.334775i	−0.161633	−	0.986851i	$-0.551676\pi$
$823$	−26.3868	−	9.60401i	−0.919787	−	0.334775i	−0.758154	+	0.652076i	$0.773898\pi$
$824$	13.9182	−	8.03568i	0.484864	−	0.279936i
$825$	6.49431	−	2.48774i	0.226103	−	0.0866118i
$826$	16.1160	−	13.5229i	0.560747	−	0.470523i
$827$	37.0274	−	31.0697i	1.28757	−	1.08040i	0.295416	−	0.955369i	$-0.404542\pi$
$827$	37.0274	−	31.0697i	1.28757	−	1.08040i	0.992153	−	0.125030i	$-0.0399027\pi$
$828$	−2.56988	+	7.87187i	−0.0893094	+	0.273567i
$829$	5.42865	−	3.13423i	0.188545	−	0.108856i	−0.402756	−	0.915307i	$-0.631948\pi$
$829$	5.42865	−	3.13423i	0.188545	−	0.108856i	0.591301	+	0.806451i	$0.298614\pi$
$830$	4.61747	+	1.68062i	0.160275	+	0.0583353i
$831$	31.4764	+	36.2606i	1.09191	+	1.25786i
$832$	−3.35342	+	0.591299i	−0.116259	+	0.0204996i
$833$	−21.3955	−	58.7836i	−0.741309	−	2.03673i
$834$	19.2387	−	3.72570i	0.666183	−	0.129011i
$835$		−	7.93700i		−	0.274671i
$836$	4.46574	+	16.9224i	0.154451	+	0.585274i
$837$	13.3634	−	26.0920i	0.461907	−	0.901872i
$838$	−0.360374	+	0.429477i	−0.0124489	+	0.0148360i
$839$	40.6666	−	14.8014i	1.40397	−	0.511002i	0.474613	−	0.880195i	$-0.342588\pi$
$839$	40.6666	−	14.8014i	1.40397	−	0.511002i	0.929353	+	0.369193i	$0.120366\pi$
$840$	3.44550	−	6.20564i	0.118881	−	0.214115i
$841$	−4.70029	+	26.6567i	−0.162079	+	0.919196i
$842$	−4.97937	+	13.6807i	−0.171600	+	0.471468i
$843$	18.8560	+	2.99999i	0.649435	+	0.103325i
$844$	22.5117	+	12.9971i	0.774883	+	0.447379i
$845$	−0.903065	−	1.07623i	−0.0310664	−	0.0370235i
$846$	−20.3898	+	26.0228i	−0.701015	+	0.894682i
$847$	10.4943	−	18.1767i	0.360588	−	0.624557i
$848$	−4.05998	−	7.03209i	−0.139420	−	0.241483i
$849$	9.47685	−	5.68527i	0.325245	−	0.195118i
$850$	−6.29029	−	1.10915i	−0.215755	−	0.0380434i
$851$	−2.56929	−	14.5711i	−0.0880740	−	0.499492i
$852$	−5.17356	+	14.9911i	−0.177243	+	0.513588i
$853$	−14.2803	−	11.9826i	−0.488947	−	0.410276i	0.364701	−	0.931125i	$-0.381171\pi$
$853$	−14.2803	−	11.9826i	−0.488947	−	0.410276i	−0.853649	+	0.520849i	$0.825616\pi$
$854$	−50.7026			−1.73501
$855$	−12.7261	−	3.00760i	−0.435224	−	0.102858i
$856$	5.37124			0.183585
$857$	−32.7667	−	27.4946i	−1.11929	−	0.939196i	−0.120722	−	0.992686i	$-0.538521\pi$
$857$	−32.7667	−	27.4946i	−1.11929	−	0.939196i	−0.998568	+	0.0534899i	$0.982966\pi$
$858$	7.72544	−	22.3855i	0.263742	−	0.764230i
$859$	2.54873	+	14.4546i	0.0869616	+	0.493183i	0.996916	+	0.0784754i	$0.0250052\pi$
$859$	2.54873	+	14.4546i	0.0869616	+	0.493183i	−0.909955	+	0.414708i	$0.863884\pi$
$860$	6.57655	+	1.15962i	0.224258	+	0.0395428i
$861$	−4.57325	+	2.74354i	−0.155856	+	0.0934997i
$862$	17.2759	+	29.9228i	0.588421	+	1.01917i
$863$	−16.8252	+	29.1420i	−0.572735	+	0.992006i	0.423549	+	0.905873i	$0.360784\pi$
$863$	−16.8252	+	29.1420i	−0.572735	+	0.992006i	−0.996284	+	0.0861328i	$0.972549\pi$
$864$	−5.06541	+	1.15828i	−0.172329	+	0.0394055i
$865$	−4.23122	−	5.04257i	−0.143866	−	0.171452i
$866$	−18.1628	−	10.4863i	−0.617197	−	0.356339i
$867$	40.7072	+	6.47650i	1.38249	+	0.219954i
$868$	7.90743	−	21.7255i	0.268396	−	0.737411i
$869$	−2.89212	+	16.4020i	−0.0981084	+	0.556400i
$870$	1.16867	−	2.10487i	0.0396216	−	0.0713618i
$871$	−23.1690	+	8.43284i	−0.785052	+	0.285736i
$872$	−8.27908	+	9.86662i	−0.280365	+	0.334126i
$873$	35.7928	−	7.55580i	1.21140	−	0.255725i
$874$	11.9897	−	1.00324i	0.405559	−	0.0339350i
$875$			4.09802i			0.138538i
$876$	9.91747	−	1.92058i	0.335080	−	0.0648904i
$877$	−4.51624	−	12.4083i	−0.152503	−	0.418998i	0.839790	−	0.542911i	$-0.182678\pi$
$877$	−4.51624	−	12.4083i	−0.152503	−	0.418998i	−0.992293	+	0.123913i	$0.960456\pi$
$878$	−1.68934	+	0.297876i	−0.0570124	+	0.0100528i
$879$	−0.923127	−	1.06343i	−0.0311363	−	0.0358687i
$880$	−3.77303	−	1.37327i	−0.127189	−	0.0462930i
$881$	19.5501	−	11.2873i	0.658659	−	0.380277i	−0.133107	−	0.991102i	$-0.542495\pi$
$881$	19.5501	−	11.2873i	0.658659	−	0.380277i	0.791766	+	0.610825i	$0.209162\pi$
$882$	27.9307	+	9.11833i	0.940474	+	0.307030i
$883$	2.39147	−	2.00668i	0.0804795	−	0.0675303i	−0.601660	−	0.798752i	$-0.705494\pi$
$883$	2.39147	−	2.00668i	0.0804795	−	0.0675303i	0.682140	+	0.731222i	$0.261050\pi$
$884$	−16.6613	+	13.9805i	−0.560381	+	0.470216i
$885$	8.30342	−	3.18074i	0.279116	−	0.106919i
$886$	−15.4470	+	8.91832i	−0.518952	+	0.299617i
$887$	−40.9048	−	14.8881i	−1.37345	−	0.499895i	−0.453264	−	0.891376i	$-0.649741\pi$
$887$	−40.9048	−	14.8881i	−1.37345	−	0.499895i	−0.920186	+	0.391481i	$0.871963\pi$
$888$	7.01129	−	6.08624i	0.235283	−	0.204241i
$889$	28.2213	−	4.97617i	0.946511	−	0.166895i
$890$	−2.20377	−	6.05481i	−0.0738705	−	0.202958i
$891$	10.0575	−	34.7088i	0.336939	−	1.16279i
$892$		−	7.35717i		−	0.246336i
$893$	46.3501	+	12.6078i	1.55105	+	0.421903i
$894$	−18.6546	−	15.1278i	−0.623905	−	0.505949i
$895$	−8.03811	+	9.57944i	−0.268684	+	0.320206i
$896$	−3.85088	+	1.40161i	−0.128649	+	0.0468244i
$897$	−14.2330	−	7.90247i	−0.475226	−	0.263856i
$898$	−0.243734	+	1.38228i	−0.00813350	+	0.0461274i
$899$	2.68210	−	7.36900i	0.0894530	−	0.245770i
$900$	2.23223	−	2.00428i	0.0744078	−	0.0668093i
$901$	−44.9162	−	25.9324i	−1.49638	−	0.863933i
$902$	1.93916	+	2.31100i	0.0645671	+	0.0769480i
$903$	0.794183	+	47.3937i	0.0264288	+	1.57716i
$904$	1.95116	−	3.37951i	0.0648946	−	0.112401i
$905$	10.2850	+	17.8141i	0.341884	+	0.592161i
$906$	−15.6051	−	26.0124i	−0.518446	−	0.864204i
$907$	29.5041	+	5.20237i	0.979669	+	0.172742i	0.640479	−	0.767976i	$-0.278736\pi$
$907$	29.5041	+	5.20237i	0.979669	+	0.172742i	0.339190	+	0.940718i	$0.389847\pi$
$908$	3.64516	+	20.6727i	0.120969	+	0.686048i
$909$	−14.1186	+	8.79491i	−0.468284	+	0.291709i
$910$	10.6897	+	8.96972i	0.354360	+	0.297343i
$911$	−15.3139			−0.507372			−0.253686	−	0.967287i	$-0.581643\pi$
$911$	−15.3139			−0.507372			−0.253686	+	0.967287i	$0.581643\pi$
$912$	4.41025	+	6.12778i	0.146038	+	0.202911i
$913$	19.7298			0.652962
$914$	11.4397	+	9.59907i	0.378393	+	0.317509i
$915$	−20.2573	−	6.99097i	−0.669687	−	0.231114i
$916$	1.80883	+	10.2584i	0.0597654	+	0.338947i
$917$	−65.8787	−	11.6162i	−2.17551	−	0.383600i
$918$	−24.3206	+	22.5843i	−0.802699	+	0.745394i
$919$	−6.33622	−	10.9747i	−0.209013	−	0.362021i	0.742391	−	0.669967i	$-0.233692\pi$
$919$	−6.33622	−	10.9747i	−0.209013	−	0.362021i	−0.951404	+	0.307946i	$0.900358\pi$
$920$	−1.38012	+	2.39044i	−0.0455013	+	0.0788106i
$921$	30.3856	−	0.509177i	1.00124	−	0.0167780i
$922$	−19.8939	−	23.7087i	−0.655172	−	0.780804i
$923$	−27.0007	−	15.5889i	−0.888740	−	0.513114i
$924$	4.47797	−	28.1457i	0.147314	−	0.925924i
$925$	−1.83335	+	5.03709i	−0.0602802	+	0.165619i
$926$	−2.92636	+	16.5962i	−0.0961661	+	0.545385i
$927$	17.9989	+	44.7285i	0.591162	+	1.46908i
$928$	−1.30617	+	0.475407i	−0.0428771	+	0.0156060i
$929$	2.97596	−	3.54661i	0.0976380	−	0.116360i	−0.715013	−	0.699111i	$-0.753579\pi$
$929$	2.97596	−	3.54661i	0.0976380	−	0.116360i	0.812651	+	0.582751i	$0.198024\pi$
$930$	6.15482	−	7.58974i	0.201825	−	0.248877i
$931$	−3.55964	−	42.5415i	−0.116663	−	1.39424i
$932$		−	15.6317i		−	0.512034i
$933$	−8.30182	−	42.8688i	−0.271789	−	1.40346i
$934$	3.50505	+	9.63006i	0.114689	+	0.315105i
$935$	−25.2566	+	4.45342i	−0.825979	+	0.145642i
$936$	−0.342268	−	10.2097i	−0.0111874	−	0.333715i
$937$	−43.4796	−	15.8253i	−1.42042	−	0.516989i	−0.486248	−	0.873821i	$-0.661635\pi$
$937$	−43.4796	−	15.8253i	−1.42042	−	0.516989i	−0.934169	+	0.356832i	$0.883857\pi$
$938$	−25.6975	+	14.8364i	−0.839052	+	0.484427i
$939$	17.2800	+	45.1100i	0.563912	+	1.47211i
$940$	−8.44167	+	7.08340i	−0.275337	+	0.231035i
$941$	1.34784	−	1.13097i	0.0439383	−	0.0368686i	−0.620554	−	0.784164i	$-0.713092\pi$
$941$	1.34784	−	1.13097i	0.0439383	−	0.0368686i	0.664492	+	0.747295i	$0.268648\pi$
$942$	4.05684	+	10.5905i	0.132179	+	0.345058i
$943$	1.79606	−	1.03696i	0.0584877	−	0.0337679i
$944$	−4.82408	−	1.75582i	−0.157010	−	0.0571471i
$945$	16.9792	+	12.8506i	0.552335	+	0.418030i
$946$	26.4060	−	4.65609i	0.858533	−	0.151382i
$947$	8.96055	+	24.6189i	0.291179	+	0.800007i	0.995895	+	0.0905174i	$0.0288521\pi$
$947$	8.96055	+	24.6189i	0.291179	+	0.800007i	−0.704716	+	0.709489i	$0.748926\pi$
$948$	1.36596	+	7.05354i	0.0443644	+	0.229088i
$949$			19.8597i			0.644672i
$950$	−3.94350	−	1.85710i	−0.127944	−	0.0602521i
$951$	−22.1474	+	27.3108i	−0.718179	+	0.885613i
$952$	−16.8252	+	20.0515i	−0.545309	+	0.649874i
$953$	23.1679	−	8.43244i	0.750483	−	0.273153i	0.0616740	−	0.998096i	$-0.480356\pi$
$953$	23.1679	−	8.43244i	0.750483	−	0.273153i	0.688809	+	0.724943i	$0.258134\pi$
$954$	22.5988	−	9.09384i	0.731663	−	0.294424i
$955$	−4.47738	+	25.3925i	−0.144884	+	0.821681i
$956$	9.92283	−	27.2628i	0.320927	−	0.881740i
$957$	1.51887	−	9.54665i	0.0490981	−	0.308599i
$958$	11.8890	+	6.86409i	0.384115	+	0.221769i
$959$	−15.5502	−	18.5320i	−0.502142	−	0.598430i
$960$	−1.73181	+	0.0290202i	−0.0558939	+	0.000936622i
$961$	0.414329	−	0.717638i	0.0133654	−	0.0231496i
$962$	9.12643	+	15.8074i	0.294248	+	0.509653i
$963$	−2.26486	+	15.9538i	−0.0729841	+	0.514103i
$964$	−27.6860	−	4.88179i	−0.891707	−	0.157232i
$965$	0.863934	+	4.89961i	0.0278110	+	0.157724i
$966$	−18.5203	−	6.39152i	−0.595882	−	0.205644i
$967$	−21.3820	−	17.9416i	−0.687598	−	0.576963i	0.230618	−	0.973044i	$-0.425925\pi$
$967$	−21.3820	−	17.9416i	−0.687598	−	0.576963i	−0.918215	+	0.396081i	$0.870370\pi$
$968$	−5.12164			−0.164616
$969$	43.9657	+	19.8115i	1.41238	+	0.636437i
$970$	12.1939			0.391521
$971$	−23.8003	−	19.9708i	−0.763787	−	0.640893i	0.175323	−	0.984511i	$-0.443903\pi$
$971$	−23.8003	−	19.9708i	−0.763787	−	0.640893i	−0.939110	+	0.343618i	$0.888348\pi$
$972$	−1.30444	−	15.5338i	−0.0418400	−	0.498246i
$973$	8.05110	+	45.6601i	0.258107	+	1.46379i
$974$	−5.73770	−	1.01171i	−0.183848	−	0.0324173i
$975$	3.03412	+	5.05761i	0.0971695	+	0.161973i
$976$	6.18623	+	10.7149i	0.198016	+	0.342974i
$977$	−4.00485	+	6.93661i	−0.128127	+	0.221922i	−0.922951	−	0.384918i	$-0.874230\pi$
$977$	−4.00485	+	6.93661i	−0.128127	+	0.221922i	0.794824	+	0.606840i	$0.207563\pi$
$978$	−0.209907	−	12.5264i	−0.00671210	−	0.400551i
$979$	−16.6298	−	19.8186i	−0.531490	−	0.633405i
$980$	8.48168	+	4.89690i	0.270937	+	0.156426i
$981$	−25.8150	−	28.7511i	−0.824210	−	0.917951i
$982$	3.96829	−	10.9028i	0.126633	−	0.347922i
$983$	−4.69494	+	26.6263i	−0.149745	+	0.849249i	0.813688	+	0.581302i	$0.197456\pi$
$983$	−4.69494	+	26.6263i	−0.149745	+	0.849249i	−0.963434	+	0.267947i	$0.913655\pi$
$984$	1.13777	+	0.631714i	0.0362707	+	0.0201383i
$985$	−7.94509	+	2.89178i	−0.253152	+	0.0921396i
$986$	−5.70690	+	6.80122i	−0.181745	+	0.216595i
$987$	−60.7528	−	49.2669i	−1.93378	−	1.56818i
$988$	−13.4757	+	6.22183i	−0.428720	+	0.197943i
$989$		−	18.4329i		−	0.586133i
$990$	5.66987	−	10.6277i	0.180200	−	0.337769i
$991$	−6.73045	−	18.4918i	−0.213800	−	0.587410i	0.785714	−	0.618590i	$-0.212296\pi$
$991$	−6.73045	−	18.4918i	−0.213800	−	0.587410i	−0.999514	+	0.0311798i	$0.990074\pi$
$992$	−5.55598	+	0.979669i	−0.176403	+	0.0311045i
$993$	−23.3587	+	20.2768i	−0.741265	+	0.643465i
$994$	−35.2589	−	12.8332i	−1.11834	−	0.407044i
$995$	19.2073	−	11.0894i	0.608913	−	0.351556i
$996$	7.94780	−	3.04451i	0.251836	−	0.0964691i
$997$	6.29183	−	5.27947i	0.199264	−	0.167202i	−0.537696	−	0.843139i	$-0.680705\pi$
$997$	6.29183	−	5.27947i	0.199264	−	0.167202i	0.736960	+	0.675936i	$0.236261\pi$
$998$	1.25182	−	1.05040i	0.0396256	−	0.0332498i
$999$	15.1210	+	23.3914i	0.478409	+	0.740072i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	570.2.bb.a.41.6	✓	84
3.2	odd	2		570.2.bb.b.41.12	yes	84
19.13	odd	18		570.2.bb.b.431.12	yes	84
57.32	even	18	inner	570.2.bb.a.431.6	yes	84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
570.2.bb.a.41.6	✓	84	1.1	even	1	trivial
570.2.bb.a.431.6	yes	84	57.32	even	18	inner
570.2.bb.b.41.12	yes	84	3.2	odd	2
570.2.bb.b.431.12	yes	84	19.13	odd	18

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:	\( N \)	\(=\)	\( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	570.bb (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.766044 + 0.642788i) q^{2} +(-0.565043 + 1.63729i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-0.984808 - 0.173648i) q^{5} +(-1.48528 + 0.891036i) q^{6} +(-2.04901 - 3.54899i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-2.36145 - 1.85028i) q^{9} +O(q^{10})\)	\(q+(0.766044 + 0.642788i) q^{2} +(-0.565043 + 1.63729i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-0.984808 - 0.173648i) q^{5} +(-1.48528 + 0.891036i) q^{6} +(-2.04901 - 3.54899i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-2.36145 - 1.85028i) q^{9} +(-0.642788 - 0.766044i) q^{10} +(-3.47724 - 2.00759i) q^{11} +(-1.71054 - 0.272146i) q^{12} +(1.16463 - 3.19980i) q^{13} +(0.711614 - 4.03577i) q^{14} +(0.840772 - 1.51430i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(-4.10569 + 4.89297i) q^{17} +(-0.619640 - 2.93531i) q^{18} +(-3.58004 + 2.48662i) q^{19} -1.00000i q^{20} +(6.96852 - 1.34950i) q^{21} +(-1.37327 - 3.77303i) q^{22} +(-2.71831 + 0.479312i) q^{23} +(-1.13542 - 1.30799i) q^{24} +(0.939693 + 0.342020i) q^{25} +(2.94895 - 1.70258i) q^{26} +(4.36377 - 2.82090i) q^{27} +(3.13927 - 2.63416i) q^{28} +(1.06480 - 0.893473i) q^{29} +(1.61744 - 0.619583i) q^{30} +(4.88585 - 2.82084i) q^{31} +(-0.939693 - 0.342020i) q^{32} +(5.25180 - 4.55889i) q^{33} +(-6.29029 + 1.10915i) q^{34} +(1.40161 + 3.85088i) q^{35} +(1.41211 - 2.64687i) q^{36} +5.36036i q^{37} +(-4.34084 - 0.396342i) q^{38} +(4.58094 + 3.71487i) q^{39} +(0.642788 - 0.766044i) q^{40} +(-0.706038 + 0.256977i) q^{41} +(6.20564 + 3.44550i) q^{42} +(-1.15962 + 6.57655i) q^{43} +(1.37327 - 3.77303i) q^{44} +(2.00428 + 2.23223i) q^{45} +(-2.39044 - 1.38012i) q^{46} +(-7.08340 - 8.44167i) q^{47} +(-0.0290202 - 1.73181i) q^{48} +(-4.89690 + 8.48168i) q^{49} +(0.500000 + 0.866025i) q^{50} +(-5.69134 - 9.48696i) q^{51} +(3.35342 + 0.591299i) q^{52} +(1.41002 + 7.99659i) q^{53} +(5.15608 + 0.644045i) q^{54} +(3.07580 + 2.58091i) q^{55} +4.09802 q^{56} +(-2.04845 - 7.26663i) q^{57} +1.39000 q^{58} +(3.93262 + 3.29986i) q^{59} +(1.63729 + 0.565043i) q^{60} +(-2.14845 - 12.1845i) q^{61} +(5.55598 + 0.979669i) q^{62} +(-1.72799 + 12.1720i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-1.70258 + 2.94895i) q^{65} +(6.95351 - 0.116521i) q^{66} +(-4.65428 - 5.54676i) q^{67} +(-5.53158 - 3.19366i) q^{68} +(0.751190 - 4.72150i) q^{69} +(-1.40161 + 3.85088i) q^{70} +(1.58993 - 9.01695i) q^{71} +(2.78312 - 1.11994i) q^{72} +(-5.48051 + 1.99474i) q^{73} +(-3.44557 + 4.10628i) q^{74} +(-1.09095 + 1.34530i) q^{75} +(-3.07051 - 3.09386i) q^{76} +16.4543i q^{77} +(1.12133 + 5.79032i) q^{78} +(-1.41871 - 3.89787i) q^{79} +(0.984808 - 0.173648i) q^{80} +(2.15292 + 8.73870i) q^{81} +(-0.706038 - 0.256977i) q^{82} +(-4.25549 + 2.45691i) q^{83} +(2.53907 + 6.62831i) q^{84} +(4.89297 - 4.10569i) q^{85} +(-5.11564 + 4.29254i) q^{86} +(0.861219 + 2.24824i) q^{87} +(3.47724 - 2.00759i) q^{88} +(6.05481 + 2.20377i) q^{89} +(0.100515 + 2.99832i) q^{90} +(-13.7424 + 2.42316i) q^{91} +(-0.944060 - 2.59378i) q^{92} +(1.85783 + 9.59346i) q^{93} -11.0198i q^{94} +(3.95745 - 1.82718i) q^{95} +(1.09095 - 1.34530i) q^{96} +(-7.83806 + 9.34104i) q^{97} +(-9.20316 + 3.34968i) q^{98} +(4.49675 + 11.1747i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 84 q - 6 q^{3} - 42 q^{8} + 6 q^{9}+O(q^{10}) \) 84 * q - 6 * q^3 - 42 * q^8 + 6 * q^9	\( 84 q - 6 q^{3} - 42 q^{8} + 6 q^{9} + 24 q^{13} + 24 q^{14} - 12 q^{17} - 12 q^{19} + 36 q^{22} - 6 q^{24} - 6 q^{27} - 12 q^{28} + 12 q^{29} - 6 q^{33} + 12 q^{34} - 18 q^{38} + 12 q^{39} - 6 q^{41} + 24 q^{43} - 36 q^{44} - 12 q^{47} - 54 q^{49} + 42 q^{50} - 54 q^{51} + 12 q^{52} + 60 q^{53} - 54 q^{54} - 60 q^{57} - 24 q^{58} + 18 q^{59} - 48 q^{61} + 12 q^{62} + 18 q^{63} - 42 q^{64} + 54 q^{66} + 6 q^{67} + 54 q^{68} - 60 q^{69} - 48 q^{71} - 12 q^{72} + 84 q^{73} - 24 q^{74} + 36 q^{78} - 12 q^{79} + 114 q^{81} - 6 q^{82} - 36 q^{83} - 18 q^{84} - 12 q^{86} + 6 q^{87} + 12 q^{89} + 24 q^{91} + 6 q^{93} + 12 q^{95} - 42 q^{97} - 36 q^{98} + 102 q^{99}+O(q^{100}) \) 84 * q - 6 * q^3 - 42 * q^8 + 6 * q^9 + 24 * q^13 + 24 * q^14 - 12 * q^17 - 12 * q^19 + 36 * q^22 - 6 * q^24 - 6 * q^27 - 12 * q^28 + 12 * q^29 - 6 * q^33 + 12 * q^34 - 18 * q^38 + 12 * q^39 - 6 * q^41 + 24 * q^43 - 36 * q^44 - 12 * q^47 - 54 * q^49 + 42 * q^50 - 54 * q^51 + 12 * q^52 + 60 * q^53 - 54 * q^54 - 60 * q^57 - 24 * q^58 + 18 * q^59 - 48 * q^61 + 12 * q^62 + 18 * q^63 - 42 * q^64 + 54 * q^66 + 6 * q^67 + 54 * q^68 - 60 * q^69 - 48 * q^71 - 12 * q^72 + 84 * q^73 - 24 * q^74 + 36 * q^78 - 12 * q^79 + 114 * q^81 - 6 * q^82 - 36 * q^83 - 18 * q^84 - 12 * q^86 + 6 * q^87 + 12 * q^89 + 24 * q^91 + 6 * q^93 + 12 * q^95 - 42 * q^97 - 36 * q^98 + 102 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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