LMFDB - Embedded newform 588.2.x.a.55.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [588,2,Mod(55,588)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(588, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([7, 0, 9]))

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

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

chi := DirichletCharacter("588.55");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 588 = 2^{2} \cdot 3 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	588.x (of order $14$, 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:	$4.69520363885$
Analytic rank:	$0$
Dimension:	$168$
Relative dimension:	$28$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			55.7
Character	$\chi$	$=$	588.55
Dual form			588.2.x.a.139.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.11034 - 0.875865i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(0.465720 + 1.94502i) q^{4} +(0.698680 - 1.45082i) q^{5} +(0.620360 + 1.27089i) q^{6} +(1.90070 - 1.84047i) q^{7} +(1.18647 - 2.56755i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})$	\(q+(-1.11034 - 0.875865i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(0.465720 + 1.94502i) q^{4} +(0.698680 - 1.45082i) q^{5} +(0.620360 + 1.27089i) q^{6} +(1.90070 - 1.84047i) q^{7} +(1.18647 - 2.56755i) q^{8} +(0.623490 + 0.781831i) q^{9} +(-2.04650 + 0.998961i) q^{10} +(0.316930 + 0.252743i) q^{11} +(0.424314 - 1.95447i) q^{12} +(4.51924 + 3.60397i) q^{13} +(-3.72243 + 0.378795i) q^{14} +(-1.25898 + 1.00400i) q^{15} +(-3.56621 + 1.81167i) q^{16} +(0.218782 + 0.0499357i) q^{17} +(-0.00750799 - 1.41419i) q^{18} +0.409096 q^{19} +(3.14727 + 0.683269i) q^{20} +(-2.51102 + 0.833524i) q^{21} +(-0.130532 - 0.558220i) q^{22} +(0.361818 - 0.0825826i) q^{23} +(-2.18299 + 1.79849i) q^{24} +(1.50071 + 1.88184i) q^{25} +(-1.86131 - 7.95989i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(4.46495 + 2.83976i) q^{28} +(1.16030 - 5.08362i) q^{29} +(2.27727 - 0.0120901i) q^{30} -1.31467 q^{31} +(5.54649 + 1.11195i) q^{32} +(-0.175883 - 0.365225i) q^{33} +(-0.199187 - 0.247070i) q^{34} +(-1.34222 - 4.04348i) q^{35} +(-1.23031 + 1.57681i) q^{36} +(1.78551 - 7.82283i) q^{37} +(-0.454237 - 0.358313i) q^{38} +(-2.50799 - 5.20789i) q^{39} +(-2.89610 - 3.51525i) q^{40} +(2.15991 - 4.48510i) q^{41} +(3.51815 + 1.27382i) q^{42} +(3.03663 + 6.30562i) q^{43} +(-0.343990 + 0.734143i) q^{44} +(1.56992 - 0.358324i) q^{45} +(-0.474073 - 0.225209i) q^{46} +(1.19163 - 1.49426i) q^{47} +(3.99910 - 0.0849372i) q^{48} +(0.225330 - 6.99637i) q^{49} +(-0.0180714 - 3.40390i) q^{50} +(-0.175450 - 0.139917i) q^{51} +(-4.90510 + 10.4685i) q^{52} +(-2.01447 - 8.82596i) q^{53} +(-0.606831 + 1.27740i) q^{54} +(0.588119 - 0.283223i) q^{55} +(-2.47038 - 7.06380i) q^{56} +(-0.368583 - 0.177500i) q^{57} +(-5.74090 + 4.62829i) q^{58} +(-4.95237 + 2.38494i) q^{59} +(-2.53913 - 1.98115i) q^{60} +(-6.33074 - 1.44495i) q^{61} +(1.45974 + 1.15148i) q^{62} +(2.62401 + 0.338513i) q^{63} +(-5.18459 - 6.09262i) q^{64} +(8.38623 - 4.03860i) q^{65} +(-0.124597 + 0.559574i) q^{66} -11.1359i q^{67} +(0.00476544 + 0.448792i) q^{68} +(-0.361818 - 0.0825826i) q^{69} +(-2.05122 + 5.66525i) q^{70} +(3.45027 - 0.787501i) q^{71} +(2.74714 - 0.673221i) q^{72} +(-9.75985 + 7.78322i) q^{73} +(-8.83427 + 7.12215i) q^{74} +(-0.535599 - 2.34661i) q^{75} +(0.190524 + 0.795700i) q^{76} +(1.06756 - 0.102911i) q^{77} +(-1.77669 + 7.97921i) q^{78} +4.62448i q^{79} +(0.136774 + 6.43972i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(-6.32659 + 3.08821i) q^{82} +(-0.804695 - 1.00906i) q^{83} +(-2.79065 - 4.49580i) q^{84} +(0.225307 - 0.282526i) q^{85} +(2.15118 - 9.66108i) q^{86} +(-3.25110 + 4.07675i) q^{87} +(1.02496 - 0.513861i) q^{88} +(2.38298 - 1.90036i) q^{89} +(-2.05699 - 0.977176i) q^{90} +(15.2227 - 1.46745i) q^{91} +(0.329131 + 0.665283i) q^{92} +(1.18448 + 0.570416i) q^{93} +(-2.63189 + 0.615429i) q^{94} +(0.285827 - 0.593526i) q^{95} +(-4.51476 - 3.40836i) q^{96} +11.4686i q^{97} +(-6.37807 + 7.57101i) q^{98} +0.405369i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) $ 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9	$ 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) $ 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9 + 20 * q^10 - 12 * q^14 + 36 * q^16 + 12 * q^19 - 25 * q^20 + 2 * q^21 - 6 * q^22 - 15 * q^24 + 32 * q^25 + 6 * q^26 - 28 * q^27 - 66 * q^28 - 8 * q^30 - 4 * q^31 + 25 * q^32 - 68 * q^34 - 12 * q^35 - 10 * q^37 + 35 * q^38 + 14 * q^39 + 16 * q^40 + 9 * q^42 + 20 * q^44 - 28 * q^46 - 8 * q^47 + 8 * q^48 - 8 * q^49 + 114 * q^50 + 20 * q^52 - 8 * q^53 - q^56 + 12 * q^57 - 6 * q^58 + 20 * q^59 + 10 * q^60 - 14 * q^61 - 16 * q^62 - 12 * q^63 + 42 * q^64 - 8 * q^65 - 6 * q^66 - 16 * q^68 + 59 * q^70 + 28 * q^71 - 15 * q^72 + 22 * q^74 + 18 * q^75 + 7 * q^76 + 8 * q^77 + 6 * q^78 + 26 * q^80 - 28 * q^81 + 12 * q^82 + 10 * q^83 + 11 * q^84 - 24 * q^85 - 6 * q^86 - 242 * q^88 + 20 * q^90 - 16 * q^91 + 7 * q^92 - 4 * q^93 - 53 * q^94 - 10 * q^96 - 118 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/588\mathbb{Z}\right)^\times$.

$n$	$197$	$295$	$493$
$\chi(n)$	$1$	$-1$	$e\left(\frac{9}{14}\right)$

Coefficient data

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

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

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

$2$	−1.11034	−	0.875865i	−0.785131	−	0.619330i
$2$	−1.11034	−	0.875865i	−0.785131	−	0.619330i
$3$	−0.900969	−	0.433884i	−0.520175	−	0.250503i
$3$	−0.900969	−	0.433884i	−0.520175	−	0.250503i
$4$	0.465720	+	1.94502i	0.232860	+	0.972510i
$5$	0.698680	−	1.45082i	0.312459	−	0.648828i	−0.684306	−	0.729195i	$-0.739895\pi$
$5$	0.698680	−	1.45082i	0.312459	−	0.648828i	0.996765	+	0.0803667i	$0.0256091\pi$
$6$	0.620360	+	1.27089i	0.253261	+	0.518837i
$7$	1.90070	−	1.84047i	0.718398	−	0.695633i
$7$	1.90070	−	1.84047i	0.718398	−	0.695633i
$8$	1.18647	−	2.56755i	0.419480	−	0.907765i
$9$	0.623490	+	0.781831i	0.207830	+	0.260610i
$10$	−2.04650	+	0.998961i	−0.647160	+	0.315899i
$11$	0.316930	+	0.252743i	0.0955581	+	0.0762050i	0.670103	−	0.742268i	$-0.266250\pi$
$11$	0.316930	+	0.252743i	0.0955581	+	0.0762050i	−0.574545	+	0.818473i	$0.694821\pi$
$12$	0.424314	−	1.95447i	0.122489	−	0.564207i
$13$	4.51924	+	3.60397i	1.25341	+	0.999563i	0.999477	+	0.0323413i	$0.0102964\pi$
$13$	4.51924	+	3.60397i	1.25341	+	0.999563i	0.253935	+	0.967221i	$0.418275\pi$
$14$	−3.72243	+	0.378795i	−0.994862	+	0.101237i
$15$	−1.25898	+	1.00400i	−0.325067	+	0.259232i
$16$	−3.56621	+	1.81167i	−0.891553	+	0.452917i
$17$	0.218782	+	0.0499357i	0.0530625	+	0.0121112i	0.248970	−	0.968511i	$-0.419908\pi$
$17$	0.218782	+	0.0499357i	0.0530625	+	0.0121112i	−0.195907	+	0.980622i	$0.562765\pi$
$18$	−0.00750799	−	1.41419i	−0.00176965	−	0.333329i
$19$	0.409096			0.0938531			0.0469265	−	0.998898i	$-0.485057\pi$
$19$	0.409096			0.0938531			0.0469265	+	0.998898i	$0.485057\pi$
$20$	3.14727	+	0.683269i	0.703751	+	0.152784i
$21$	−2.51102	+	0.833524i	−0.547950	+	0.181890i
$22$	−0.130532	−	0.558220i	−0.0278295	−	0.119013i
$23$	0.361818	−	0.0825826i	0.0754443	−	0.0172197i	−0.184632	−	0.982808i	$-0.559109\pi$
$23$	0.361818	−	0.0825826i	0.0754443	−	0.0172197i	0.260076	+	0.965588i	$0.416252\pi$
$24$	−2.18299	+	1.79849i	−0.445600	+	0.367115i
$25$	1.50071	+	1.88184i	0.300143	+	0.376367i
$26$	−1.86131	−	7.95989i	−0.365033	−	1.56106i
$27$	−0.222521	−	0.974928i	−0.0428242	−	0.187625i
$28$	4.46495	+	2.83976i	0.843796	+	0.536664i
$29$	1.16030	−	5.08362i	0.215463	−	0.944005i	−0.745321	−	0.666706i	$-0.767704\pi$
$29$	1.16030	−	5.08362i	0.215463	−	0.944005i	0.960784	−	0.277299i	$-0.0894391\pi$
$30$	2.27727	−	0.0120901i	0.415770	−	0.00220733i
$31$	−1.31467			−0.236122			−0.118061	−	0.993006i	$-0.537668\pi$
$31$	−1.31467			−0.236122			−0.118061	+	0.993006i	$0.537668\pi$
$32$	5.54649	+	1.11195i	0.980491	+	0.196566i
$33$	−0.175883	−	0.365225i	−0.0306173	−	0.0635775i
$34$	−0.199187	−	0.247070i	−0.0341602	−	0.0423721i
$35$	−1.34222	−	4.04348i	−0.226876	−	0.683473i
$36$	−1.23031	+	1.57681i	−0.205051	+	0.262802i
$37$	1.78551	−	7.82283i	0.293536	−	1.28607i	−0.586030	−	0.810289i	$-0.699310\pi$
$37$	1.78551	−	7.82283i	0.293536	−	1.28607i	0.879566	−	0.475776i	$-0.157833\pi$
$38$	−0.454237	−	0.358313i	−0.0736869	−	0.0581261i
$39$	−2.50799	−	5.20789i	−0.401600	−	0.833930i
$40$	−2.89610	−	3.51525i	−0.457913	−	0.555809i
$41$	2.15991	−	4.48510i	0.337321	−	0.700455i	−0.661451	−	0.749988i	$-0.730059\pi$
$41$	2.15991	−	4.48510i	0.337321	−	0.700455i	0.998772	+	0.0495331i	$0.0157733\pi$
$42$	3.51815	+	1.27382i	0.542862	+	0.196555i
$43$	3.03663	+	6.30562i	0.463081	+	0.961598i	0.993497	+	0.113861i	$0.0363217\pi$
$43$	3.03663	+	6.30562i	0.463081	+	0.961598i	−0.530415	+	0.847738i	$0.677964\pi$
$44$	−0.343990	+	0.734143i	−0.0518585	+	0.110676i
$45$	1.56992	−	0.358324i	0.234030	−	0.0534158i
$46$	−0.474073	−	0.225209i	−0.0698983	−	0.0332052i
$47$	1.19163	−	1.49426i	0.173817	−	0.217960i	−0.687290	−	0.726383i	$-0.741200\pi$
$47$	1.19163	−	1.49426i	0.173817	−	0.217960i	0.861107	+	0.508423i	$0.169771\pi$
$48$	3.99910	−	0.0849372i	0.577220	−	0.0122596i
$49$	0.225330	−	6.99637i	0.0321901	−	0.999482i
$50$	−0.0180714	−	3.40390i	−0.00255568	−	0.481385i
$51$	−0.175450	−	0.139917i	−0.0245679	−	0.0195923i
$52$	−4.90510	+	10.4685i	−0.680216	+	1.45171i
$53$	−2.01447	−	8.82596i	−0.276708	−	1.21234i	−0.901927	−	0.431889i	$-0.857847\pi$
$53$	−2.01447	−	8.82596i	−0.276708	−	1.21234i	0.625219	−	0.780450i	$-0.285010\pi$
$54$	−0.606831	+	1.27740i	−0.0825793	+	0.173832i
$55$	0.588119	−	0.283223i	0.0793019	−	0.0381898i
$56$	−2.47038	−	7.06380i	−0.330118	−	0.943940i
$57$	−0.368583	−	0.177500i	−0.0488200	−	0.0235105i
$58$	−5.74090	+	4.62829i	−0.753817	+	0.607724i
$59$	−4.95237	+	2.38494i	−0.644744	+	0.310492i	−0.727531	−	0.686075i	$-0.759332\pi$
$59$	−4.95237	+	2.38494i	−0.644744	+	0.310492i	0.0827870	+	0.996567i	$0.473618\pi$
$60$	−2.53913	−	1.98115i	−0.327801	−	0.255766i
$61$	−6.33074	−	1.44495i	−0.810568	−	0.185007i	−0.202902	−	0.979199i	$-0.565037\pi$
$61$	−6.33074	−	1.44495i	−0.810568	−	0.185007i	−0.607667	+	0.794192i	$0.707894\pi$
$62$	1.45974	+	1.15148i	0.185387	+	0.146238i
$63$	2.62401	+	0.338513i	0.330594	+	0.0426486i
$64$	−5.18459	−	6.09262i	−0.648074	−	0.761578i
$65$	8.38623	−	4.03860i	1.04018	−	0.500926i
$66$	−0.124597	+	0.559574i	−0.0153369	+	0.0688788i
$67$		−	11.1359i		−	1.36047i	−0.732995	−	0.680234i	$-0.761878\pi$
$67$		−	11.1359i		−	1.36047i	0.732995	−	0.680234i	$-0.238122\pi$
$68$	0.00476544	+	0.448792i	0.000577894	+	0.0544241i
$69$	−0.361818	−	0.0825826i	−0.0435578	−	0.00994178i
$70$	−2.05122	+	5.66525i	−0.245168	+	0.677127i
$71$	3.45027	−	0.787501i	0.409471	−	0.0934591i	−0.0128234	−	0.999918i	$-0.504082\pi$
$71$	3.45027	−	0.787501i	0.409471	−	0.0934591i	0.422295	+	0.906459i	$0.361225\pi$
$72$	2.74714	−	0.673221i	0.323753	−	0.0793399i
$73$	−9.75985	+	7.78322i	−1.14230	+	0.910957i	−0.996921	−	0.0784182i	$-0.975013\pi$
$73$	−9.75985	+	7.78322i	−1.14230	+	0.910957i	−0.145384	+	0.989375i	$0.546442\pi$
$74$	−8.83427	+	7.12215i	−1.02696	+	0.827933i
$75$	−0.535599	−	2.34661i	−0.0618456	−	0.270963i
$76$	0.190524	+	0.795700i	0.0218546	+	0.0912731i
$77$	1.06756	−	0.102911i	0.121659	−	0.0117278i
$78$	−1.77669	+	7.97921i	−0.201170	+	0.903467i
$79$			4.62448i			0.520295i	0.965569	+	0.260147i	$0.0837711\pi$
$79$			4.62448i			0.520295i	−0.965569	+	0.260147i	$0.916229\pi$
$80$	0.136774	+	6.43972i	0.0152918	+	0.719982i
$81$	−0.222521	+	0.974928i	−0.0247245	+	0.108325i
$82$	−6.32659	+	3.08821i	−0.698655	+	0.341035i
$83$	−0.804695	−	1.00906i	−0.0883268	−	0.110758i	0.735704	−	0.677303i	$-0.236851\pi$
$83$	−0.804695	−	1.00906i	−0.0883268	−	0.110758i	−0.824031	+	0.566545i	$0.808280\pi$
$84$	−2.79065	−	4.49580i	−0.304485	−	0.490532i
$85$	0.225307	−	0.282526i	0.0244379	−	0.0306442i
$86$	2.15118	−	9.66108i	0.231968	−	1.04178i
$87$	−3.25110	+	4.07675i	−0.348554	+	0.437073i
$88$	1.02496	−	0.513861i	0.109261	−	0.0547778i
$89$	2.38298	−	1.90036i	0.252595	−	0.201438i	−0.489003	−	0.872282i	$-0.662639\pi$
$89$	2.38298	−	1.90036i	0.252595	−	0.201438i	0.741599	+	0.670844i	$0.234068\pi$
$90$	−2.05699	−	0.977176i	−0.216826	−	0.103003i
$91$	15.2227	−	1.46745i	1.59578	−	0.153831i
$92$	0.329131	+	0.665283i	0.0343143	+	0.0693606i
$93$	1.18448	+	0.570416i	0.122825	+	0.0591494i
$94$	−2.63189	+	0.615429i	−0.271458	+	0.0634767i
$95$	0.285827	−	0.593526i	0.0293252	−	0.0608945i
$96$	−4.51476	−	3.40836i	−0.460786	−	0.347864i
$97$			11.4686i			1.16446i	0.813025	+	0.582228i	$0.197819\pi$
$97$			11.4686i			1.16446i	−0.813025	+	0.582228i	$0.802181\pi$
$98$	−6.37807	+	7.57101i	−0.644283	+	0.764787i
$99$			0.405369i			0.0407411i
$100$	−2.96130	+	3.79533i	−0.296130	+	0.379533i
$101$	2.11780	−	4.39766i	0.210729	−	0.437583i	−0.768635	−	0.639688i	$-0.779064\pi$
$101$	2.11780	−	4.39766i	0.210729	−	0.437583i	0.979364	+	0.202104i	$0.0647780\pi$
$102$	0.0722613	+	0.309026i	0.00715494	+	0.0305981i
$103$	7.35075	+	3.53994i	0.724291	+	0.348800i	0.759436	−	0.650582i	$-0.225475\pi$
$103$	7.35075	+	3.53994i	0.724291	+	0.348800i	−0.0351449	+	0.999382i	$0.511189\pi$
$104$	14.6153	−	7.32736i	1.43315	−	0.718507i
$105$	−0.545105	+	4.22542i	−0.0531968	+	0.412359i
$106$	−5.49360	+	11.5642i	−0.533586	+	1.12322i
$107$	−15.5051	+	12.3649i	−1.49894	+	1.19536i	−0.571943	+	0.820293i	$0.693810\pi$
$107$	−15.5051	+	12.3649i	−1.49894	+	1.19536i	−0.926996	+	0.375071i	$0.877618\pi$
$108$	1.79262	−	0.886851i	0.172495	−	0.0853373i
$109$	8.16907	−	10.2437i	0.782455	−	0.981168i	−0.217532	−	0.976053i	$-0.569801\pi$
$109$	8.16907	−	10.2437i	0.782455	−	0.981168i	0.999987	−	0.00511469i	$-0.00162806\pi$
$110$	−0.901078	−	0.200638i	−0.0859145	−	0.0191301i
$111$	−5.00289	+	6.27342i	−0.474853	+	0.595447i
$112$	−3.44397	+	10.0069i	−0.325425	+	0.945568i
$113$	13.0718	+	16.3915i	1.22969	+	1.54198i	0.744589	+	0.667523i	$0.232646\pi$
$113$	13.0718	+	16.3915i	1.22969	+	1.54198i	0.485100	+	0.874458i	$0.338783\pi$
$114$	0.253787	+	0.519915i	0.0237693	+	0.0486945i
$115$	0.132982	−	0.582633i	0.0124007	−	0.0543308i
$116$	10.4281	−	0.110729i	0.968227	−	0.0102810i
$117$			5.78033i			0.534391i
$118$	7.58771	+	1.68951i	0.698505	+	0.155532i
$119$	0.507745	−	0.307750i	0.0465449	−	0.0282114i
$120$	1.08408	+	4.42370i	0.0989628	+	0.403826i
$121$	−2.41116	−	10.5640i	−0.219197	−	0.960364i
$122$	5.76371	+	7.14927i	0.521822	+	0.647264i
$123$	−3.89203	+	3.10379i	−0.350932	+	0.279859i
$124$	−0.612270	−	2.55707i	−0.0549835	−	0.229632i
$125$	11.6283	−	2.65409i	1.04007	−	0.237389i
$126$	−2.61705	−	2.67414i	−0.233146	−	0.238231i
$127$	12.5561	+	2.86585i	1.11417	+	0.254303i	0.739701	−	0.672935i	$-0.234967\pi$
$127$	12.5561	+	2.86585i	1.11417	+	0.254303i	0.374472	+	0.927238i	$0.377824\pi$
$128$	0.420353	+	11.3059i	0.0371543	+	0.999310i
$129$		−	6.99871i		−	0.616202i
$130$	−12.8489	−	2.86099i	−1.12692	−	0.250925i
$131$	−0.508139	+	0.244707i	−0.0443963	+	0.0213801i	−0.455950	−	0.890005i	$-0.650700\pi$
$131$	−0.508139	+	0.244707i	−0.0443963	+	0.0213801i	0.411554	+	0.911385i	$0.364986\pi$
$132$	0.628458	−	0.512189i	0.0547002	−	0.0445803i
$133$	0.777569	−	0.752930i	0.0674238	−	0.0652873i
$134$	−9.75356	+	12.3647i	−0.842579	+	1.06815i
$135$	−1.56992	−	0.358324i	−0.135117	−	0.0308396i
$136$	0.387791	−	0.502487i	0.0332528	−	0.0430879i
$137$	0.0473135	−	0.0227850i	0.00404227	−	0.00194665i	−0.431862	−	0.901940i	$-0.642143\pi$
$137$	0.0473135	−	0.0227850i	0.00404227	−	0.00194665i	0.435904	+	0.899993i	$0.356429\pi$
$138$	0.329411	+	0.408599i	0.0280413	+	0.0347822i
$139$	−16.1047	−	7.75564i	−1.36599	−	0.657825i	−0.400024	−	0.916505i	$-0.630998\pi$
$139$	−16.1047	−	7.75564i	−1.36599	−	0.657825i	−0.965963	+	0.258680i	$0.916712\pi$
$140$	7.23956	−	4.49377i	0.611854	−	0.379793i
$141$	−1.72196	+	0.829250i	−0.145015	+	0.0698355i
$142$	−4.52072	−	2.14757i	−0.379370	−	0.180220i
$143$	0.521403	+	2.28442i	0.0436019	+	0.191033i
$144$	−3.63992	−	1.65862i	−0.303326	−	0.138218i
$145$	−6.56476	−	5.23522i	−0.545173	−	0.434761i
$146$	17.6538	−	0.0937246i	1.46104	−	0.00775670i
$147$	−3.23863	+	6.20575i	−0.267118	+	0.511841i
$148$	16.0471	−	0.170394i	1.31906	−	0.0140063i
$149$	−4.82331	+	6.04824i	−0.395141	+	0.495491i	−0.939111	−	0.343613i	$-0.888349\pi$
$149$	−4.82331	+	6.04824i	−0.395141	+	0.495491i	0.543970	+	0.839105i	$0.316920\pi$
$150$	−1.46062	+	3.07465i	−0.119259	+	0.251044i
$151$	16.2311	−	3.70464i	1.32087	−	0.301479i	0.496747	−	0.867895i	$-0.334528\pi$
$151$	16.2311	−	3.70464i	1.32087	−	0.301479i	0.824120	+	0.566416i	$0.191670\pi$
$152$	0.485379	−	1.05037i	0.0393695	−	0.0851965i
$153$	0.0973674	+	0.202185i	0.00787169	+	0.0163457i
$154$	−1.27549	−	0.820769i	−0.102782	−	0.0661395i
$155$	−0.918536	+	1.90736i	−0.0737786	+	0.153203i
$156$	8.96144	−	7.30351i	0.717489	−	0.584749i
$157$	5.66299	+	11.7593i	0.451955	+	0.938495i	0.995102	+	0.0988570i	$0.0315186\pi$
$157$	5.66299	+	11.7593i	0.451955	+	0.938495i	−0.543146	+	0.839638i	$0.682767\pi$
$158$	4.05042	−	5.13476i	0.322234	−	0.408499i
$159$	−2.01447	+	8.82596i	−0.159758	+	0.699944i
$160$	5.48846	−	7.27009i	0.433901	−	0.574751i
$161$	0.535717	−	0.822881i	0.0422204	−	0.0648521i
$162$	1.10098	−	0.887605i	0.0865012	−	0.0697369i
$163$	−1.67839	−	3.48521i	−0.131462	−	0.272983i	0.824839	−	0.565367i	$-0.191266\pi$
$163$	−1.67839	−	3.48521i	−0.131462	−	0.272983i	−0.956301	+	0.292384i	$0.905551\pi$
$164$	9.72953	+	2.11227i	0.759749	+	0.164941i
$165$	−0.652763			−0.0508175
$166$	0.00969004	+	1.82520i	0.000752093	+	0.141663i
$167$	−1.36773	+	5.99244i	−0.105839	+	0.463709i	0.894038	+	0.447991i	$0.147860\pi$
$167$	−1.36773	+	5.99244i	−0.105839	+	0.463709i	−0.999876	+	0.0157176i	$0.994997\pi$
$168$	−0.839136	+	7.43612i	−0.0647408	+	0.573709i
$169$	4.54213	+	19.9004i	0.349395	+	1.53080i
$170$	−0.497622	+	0.116362i	−0.0381659	+	0.00892455i
$171$	0.255067	+	0.319844i	0.0195055	+	0.0244591i
$172$	−10.8503	+	8.84296i	−0.827331	+	0.674269i
$173$	−24.7497	+	5.64895i	−1.88168	+	0.429482i	−0.999167	−	0.0408013i	$-0.987009\pi$
$173$	−24.7497	+	5.64895i	−1.88168	+	0.429482i	−0.882516	+	0.470283i	$0.844152\pi$
$174$	7.18051	−	1.67906i	0.544353	−	0.127289i
$175$	6.31587	+	0.814786i	0.477435	+	0.0615921i
$176$	−1.58813	−	0.327163i	−0.119710	−	0.0246609i
$177$	5.49672			0.413159
$178$	−4.31038	+	0.0228839i	−0.323077	+	0.00171522i
$179$	2.33966	+	0.534012i	0.174874	+	0.0399139i	0.309061	−	0.951042i	$-0.399985\pi$
$179$	2.33966	+	0.534012i	0.174874	+	0.0399139i	−0.134187	+	0.990956i	$0.542842\pi$
$180$	1.42809	+	2.88665i	0.106444	+	0.215158i
$181$	−13.8478	+	11.0432i	−1.02930	+	0.820837i	−0.984006	−	0.178137i	$-0.942993\pi$
$181$	−13.8478	+	11.0432i	−1.02930	+	0.820837i	−0.0452911	+	0.998974i	$0.514422\pi$
$182$	−18.1877	−	11.7037i	−1.34817	−	0.867535i
$183$	5.07686	+	4.04866i	0.375292	+	0.299286i
$184$	0.217251	−	1.02697i	0.0160159	−	0.0757090i
$185$	−10.1020	−	8.05611i	−0.742717	−	0.592297i
$186$	−0.815572	−	1.67080i	−0.0598006	−	0.122509i
$187$	0.0567179	+	0.0711220i	0.00414762	+	0.00520095i
$188$	3.46133	+	1.62184i	0.252443	+	0.118285i
$189$	−2.21727	−	1.44350i	−0.161283	−	0.104999i
$190$	−0.837215	+	0.408671i	−0.0607380	+	0.0296481i
$191$	−8.64555	+	17.9527i	−0.625570	+	1.29901i	0.311625	+	0.950205i	$0.399127\pi$
$191$	−8.64555	+	17.9527i	−0.625570	+	1.29901i	−0.937195	+	0.348805i	$0.886588\pi$
$192$	2.02766	+	7.73877i	0.146334	+	0.558498i
$193$	8.52289	+	4.10441i	0.613491	+	0.295442i	0.714708	−	0.699423i	$-0.246559\pi$
$193$	8.52289	+	4.10441i	0.613491	+	0.295442i	−0.101217	+	0.994864i	$0.532274\pi$
$194$	10.0449	−	12.7340i	0.721183	−	0.914250i
$195$	−9.30802			−0.666561
$196$	13.7130	−	2.82008i	0.979502	−	0.201434i
$197$	−4.09526			−0.291775			−0.145888	−	0.989301i	$-0.546604\pi$
$197$	−4.09526			−0.291775			−0.145888	+	0.989301i	$0.546604\pi$
$198$	0.355049	−	0.450098i	0.0252322	−	0.0319871i
$199$	−13.9864	−	6.73550i	−0.991470	−	0.477467i	−0.133435	−	0.991058i	$-0.542601\pi$
$199$	−13.9864	−	6.73550i	−0.991470	−	0.477467i	−0.858035	+	0.513591i	$0.828315\pi$
$200$	6.61225	−	1.62042i	0.467557	−	0.114581i
$201$	−4.83169	+	10.0331i	−0.340801	+	0.707681i
$202$	−6.20324	+	3.02800i	−0.436459	+	0.213049i
$203$	−7.15087	−	11.7979i	−0.501893	−	0.828054i
$204$	0.190430	−	0.406416i	0.0133328	−	0.0284548i
$205$	−4.99800	−	6.26730i	−0.349076	−	0.437727i
$206$	−5.06134	−	10.3688i	−0.352641	−	0.722429i
$207$	0.290156	+	0.231391i	0.0201672	+	0.0160828i
$208$	−22.6458	−	4.66516i	−1.57020	−	0.323471i
$209$	0.129655	+	0.103396i	0.00896842	+	0.00715207i
$210$	4.30615	−	4.21422i	0.297153	−	0.290809i
$211$	12.2368	−	9.75853i	0.842417	−	0.671805i	−0.104062	−	0.994571i	$-0.533184\pi$
$211$	12.2368	−	9.75853i	0.842417	−	0.671805i	0.946479	+	0.322766i	$0.104613\pi$
$212$	16.2285	−	8.02860i	1.11458	−	0.551407i
$213$	−3.45027	−	0.787501i	−0.236408	−	0.0539587i
$214$	28.0460	−	0.148897i	1.91719	−	0.0101784i
$215$	11.2700			0.768606
$216$	−2.76719	−	0.585388i	−0.188283	−	0.0398306i
$217$	−2.49880	+	2.41962i	−0.169630	+	0.164255i
$218$	−18.0426	+	4.21900i	−1.22200	+	0.285747i
$219$	12.1703	−	2.77780i	0.822395	−	0.187706i
$220$	0.824773	+	1.01200i	0.0556062	+	0.0682291i
$221$	0.808764	+	1.01416i	0.0544033	+	0.0682196i
$222$	11.0496	−	2.58379i	0.741600	−	0.173413i
$223$	2.00612	+	8.78939i	0.134340	+	0.588581i	0.996620	+	0.0821497i	$0.0261786\pi$
$223$	2.00612	+	8.78939i	0.134340	+	0.588581i	−0.862280	+	0.506432i	$0.830964\pi$
$224$	12.5887	−	8.09468i	0.841120	−	0.540849i
$225$	−0.535599	+	2.34661i	−0.0357066	+	0.156441i
$226$	−0.157409	−	29.6493i	−0.0104707	−	1.97224i
$227$	−26.2491			−1.74222			−0.871108	−	0.491091i	$-0.836598\pi$
$227$	−26.2491			−1.74222			−0.871108	+	0.491091i	$0.836598\pi$
$228$	0.173585	−	0.799566i	0.0114960	−	0.0529526i
$229$	−0.655831	−	1.36185i	−0.0433386	−	0.0899934i	0.878175	−	0.478339i	$-0.158761\pi$
$229$	−0.655831	−	1.36185i	−0.0433386	−	0.0899934i	−0.921514	+	0.388346i	$0.873047\pi$
$230$	−0.657964	+	0.530447i	−0.0433848	+	0.0349767i
$231$	−1.00649	−	0.370476i	−0.0662220	−	0.0243755i
$232$	−11.6758	−	9.01068i	−0.766552	−	0.591580i
$233$	2.42304	−	10.6161i	0.158739	−	0.695481i	−0.831433	−	0.555625i	$-0.812479\pi$
$233$	2.42304	−	10.6161i	0.158739	−	0.695481i	0.990172	−	0.139856i	$-0.0446638\pi$
$234$	5.06279	−	6.41814i	0.330965	−	0.419567i
$235$	−1.33534	−	2.77285i	−0.0871077	−	0.180881i
$236$	−6.94517	−	8.52175i	−0.452092	−	0.554719i
$237$	2.00649	−	4.16651i	0.130335	−	0.270644i
$238$	−0.833319	−	0.103009i	−0.0540160	−	0.00667705i
$239$	0.301457	+	0.625982i	0.0194997	+	0.0404914i	0.910491	−	0.413528i	$-0.135704\pi$
$239$	0.301457	+	0.625982i	0.0194997	+	0.0404914i	−0.890992	+	0.454020i	$0.849989\pi$
$240$	2.67086	−	5.86133i	0.172403	−	0.378347i
$241$	15.5375	−	3.54633i	1.00086	−	0.228439i	0.309459	−	0.950913i	$-0.399852\pi$
$241$	15.5375	−	3.54633i	1.00086	−	0.228439i	0.691399	+	0.722474i	$0.256995\pi$
$242$	−6.57543	+	13.8415i	−0.422684	+	0.889766i
$243$	0.623490	−	0.781831i	0.0399969	−	0.0501545i
$244$	−0.137894	−	12.9864i	−0.00882774	−	0.831367i
$245$	−9.99307	−	5.21514i	−0.638434	−	0.333183i
$246$	7.03998	−	0.0373754i	0.448853	−	0.00238297i
$247$	1.84880	+	1.47437i	0.117637	+	0.0938120i
$248$	−1.55982	+	3.37549i	−0.0990486	+	0.214344i
$249$	0.287192	+	1.25827i	0.0182001	+	0.0797397i
$250$	−15.2360	−	7.23790i	−0.963612	−	0.457765i
$251$	16.0446	−	7.72666i	1.01272	−	0.487702i	0.147487	−	0.989064i	$-0.452882\pi$
$251$	16.0446	−	7.72666i	1.01272	−	0.487702i	0.865238	+	0.501362i	$0.167167\pi$
$252$	0.563637	+	5.26140i	0.0355058	+	0.331437i
$253$	0.135543	+	0.0652742i	0.00852153	+	0.00410375i
$254$	−11.4315	−	14.1795i	−0.717274	−	0.889703i
$255$	−0.325578	+	0.156790i	−0.0203885	+	0.00981857i
$256$	9.43571	−	12.9216i	0.589732	−	0.807599i
$257$	−5.03623	−	1.14949i	−0.314151	−	0.0717030i	0.0625382	−	0.998043i	$-0.480080\pi$
$257$	−5.03623	−	1.14949i	−0.314151	−	0.0717030i	−0.376690	+	0.926340i	$0.622938\pi$
$258$	−6.12993	+	7.77097i	−0.381633	+	0.483799i
$259$	−11.0040	−	18.1550i	−0.683754	−	1.12810i
$260$	11.7608	+	14.4305i	0.729373	+	0.894944i
$261$	4.69797	−	2.26242i	0.290797	−	0.140041i
$262$	0.778538	+	0.173353i	0.0480982	+	0.0107098i
$263$			9.30133i			0.573544i	0.957999	+	0.286772i	$0.0925823\pi$
$263$			9.30133i			0.573544i	−0.957999	+	0.286772i	$0.907418\pi$
$264$	−1.14641	+	0.0182603i	−0.0705567	+	0.00112385i
$265$	−14.2124	−	3.24388i	−0.873059	−	0.199270i
$266$	−1.52283	+	0.154963i	−0.0933709	+	0.00950142i
$267$	−2.97153	+	0.678231i	−0.181854	+	0.0415071i
$268$	21.6596	−	5.18622i	1.32307	−	0.316799i
$269$	−24.4524	+	19.5001i	−1.49089	+	1.18894i	−0.557444	+	0.830215i	$0.688218\pi$
$269$	−24.4524	+	19.5001i	−1.49089	+	1.18894i	−0.933442	+	0.358728i	$0.883211\pi$
$270$	1.42930	+	1.77290i	0.0869847	+	0.107895i
$271$	3.76773	+	16.5075i	0.228873	+	1.00276i	0.950560	+	0.310540i	$0.100510\pi$
$271$	3.76773	+	16.5075i	0.228873	+	1.00276i	−0.721687	+	0.692220i	$0.756633\pi$
$272$	−0.870691	+	0.218280i	−0.0527934	+	0.0132352i
$273$	−14.3519	−	5.28277i	−0.868618	−	0.319728i
$274$	−0.0724908	−	0.0161411i	−0.00437933	−	0.000975121i
$275$			0.975706i			0.0588373i
$276$	−0.00788098	−	0.742204i	−0.000474379	−	0.0446754i
$277$	2.11285	−	9.25700i	0.126949	−	0.556199i	−0.870948	−	0.491375i	$-0.836494\pi$
$277$	2.11285	−	9.25700i	0.126949	−	0.556199i	0.997897	−	0.0648239i	$-0.0206486\pi$
$278$	11.0889	+	22.7170i	0.665067	+	1.36248i
$279$	−0.819686	−	1.02785i	−0.0490733	−	0.0615360i
$280$	−11.9743	−	1.35125i	−0.715603	−	0.0807529i
$281$	−8.03731	+	10.0785i	−0.479466	+	0.601231i	−0.961460	−	0.274943i	$-0.911341\pi$
$281$	−8.03731	+	10.0785i	−0.479466	+	0.601231i	0.481995	+	0.876174i	$0.339912\pi$
$282$	2.63827	+	0.587450i	0.157107	+	0.0349821i
$283$	19.1585	−	24.0240i	1.13886	−	1.42808i	0.250982	−	0.967992i	$-0.419246\pi$
$283$	19.1585	−	24.0240i	1.13886	−	1.42808i	0.887873	−	0.460088i	$-0.152182\pi$
$284$	3.13856	+	6.34408i	0.186239	+	0.376452i
$285$	−0.515043	+	0.410733i	−0.0305085	+	0.0243297i
$286$	1.42191	−	2.99316i	0.0840790	−	0.176989i
$287$	−4.14936	−	12.5001i	−0.244929	−	0.737857i
$288$	2.58883	+	5.02971i	0.152548	+	0.296378i
$289$	−15.2711	−	7.35417i	−0.898300	−	0.432598i
$290$	2.70378	+	11.5627i	0.158771	+	0.678987i
$291$	4.97602	−	10.3328i	0.291700	−	0.605721i
$292$	−19.6839	−	15.3583i	−1.15191	−	0.898777i
$293$			16.5335i			0.965897i	0.875649	+	0.482949i	$0.160434\pi$
$293$			16.5335i			0.965897i	−0.875649	+	0.482949i	$0.839566\pi$
$294$	9.03138	−	4.05390i	0.526721	−	0.236428i
$295$			8.85132i			0.515344i
$296$	−17.9670	−	13.8659i	−1.04431	−	0.805940i
$297$	0.175883	−	0.365225i	0.0102058	−	0.0211925i
$298$	10.6530	−	2.49105i	0.617110	−	0.144302i
$299$	1.93277	+	0.930772i	0.111775	+	0.0538280i
$300$	4.31477	−	2.13461i	0.249113	−	0.123242i
$301$	17.3770	+	6.39628i	1.00160	+	0.368675i
$302$	−21.2668	−	10.1028i	−1.22377	−	0.581352i
$303$	−3.81615	+	3.04327i	−0.219232	+	0.174832i
$304$	−1.45892	+	0.741147i	−0.0836749	+	0.0425077i
$305$	−6.51953	+	8.17523i	−0.373307	+	0.468112i
$306$	0.0689761	−	0.309776i	0.00394310	−	0.0177087i
$307$	−4.74297	+	5.94750i	−0.270696	+	0.339442i	−0.898535	−	0.438901i	$-0.855368\pi$
$307$	−4.74297	+	5.94750i	−0.270696	+	0.339442i	0.627840	+	0.778343i	$0.283939\pi$
$308$	0.697347	+	2.02849i	0.0397350	+	0.115584i
$309$	−5.08688	−	6.37874i	−0.289382	−	0.362874i
$310$	2.69048	−	1.31331i	0.152809	−	0.0745909i
$311$	5.01176	−	21.9580i	0.284191	−	1.24512i	−0.608172	−	0.793805i	$-0.708097\pi$
$311$	5.01176	−	21.9580i	0.284191	−	1.24512i	0.892363	−	0.451318i	$-0.149046\pi$
$312$	−16.3472	+	0.260382i	−0.925476	+	0.0147412i
$313$			12.1551i			0.687044i	0.939145	+	0.343522i	$0.111620\pi$
$313$			12.1551i			0.687044i	−0.939145	+	0.343522i	$0.888380\pi$
$314$	4.01172	−	18.0169i	0.226394	−	1.01675i
$315$	2.32446	−	3.57046i	0.130969	−	0.201172i
$316$	−8.99471	+	2.15371i	−0.505992	+	0.121156i
$317$	5.30270	+	23.2326i	0.297829	+	1.30487i	0.873352	+	0.487089i	$0.161941\pi$
$317$	5.30270	+	23.2326i	0.297829	+	1.30487i	−0.575523	+	0.817786i	$0.695201\pi$
$318$	9.96710	−	8.03543i	0.558927	−	0.450605i
$319$	1.65259	−	1.31789i	0.0925271	−	0.0737879i
$320$	−12.4617	+	3.26513i	−0.696629	+	0.182526i
$321$	19.3346	−	4.41300i	1.07915	−	0.246309i
$322$	−1.31556	+	0.444463i	−0.0733134	+	0.0247690i
$323$	0.0895031	+	0.0204285i	0.00498008	+	0.00113667i
$324$	−1.99989	+	0.0212355i	−0.111105	+	0.00117975i
$325$			13.9130i			0.771755i
$326$	−1.18899	+	5.33982i	−0.0658521	+	0.295745i
$327$	−11.8047	+	5.68482i	−0.652799	+	0.314371i
$328$	−8.95304	−	10.8671i	−0.494349	−	0.600035i
$329$	−0.485204	−	5.03330i	−0.0267502	−	0.277495i
$330$	0.724790	+	0.571732i	0.0398984	+	0.0314728i
$331$	28.1187	+	6.41791i	1.54554	+	0.352760i	0.908439	−	0.418016i	$-0.137275\pi$
$331$	28.1187	+	6.41791i	1.54554	+	0.352760i	0.637105	+	0.770777i	$0.280132\pi$
$332$	1.58787	−	2.03509i	0.0871458	−	0.111690i
$333$	7.22938	−	3.48149i	0.396168	−	0.190784i
$334$	6.76722	−	5.45571i	0.370286	−	0.298523i
$335$	−16.1562	−	7.78044i	−0.882710	−	0.425091i
$336$	7.44477	−	7.52167i	0.406145	−	0.410341i
$337$	6.50681	−	3.13352i	0.354449	−	0.170693i	−0.248183	−	0.968713i	$-0.579833\pi$
$337$	6.50681	−	3.13352i	0.354449	−	0.170693i	0.602631	+	0.798020i	$0.294119\pi$
$338$	12.3867	−	26.0745i	0.673750	−	1.41827i
$339$	−4.66526	−	20.4399i	−0.253382	−	1.11014i
$340$	0.654448	+	0.306648i	0.0354924	+	0.0166303i
$341$	−0.416660	−	0.332275i	−0.0225634	−	0.0179937i
$342$	−0.00307149	−	0.578541i	−0.000166087	−	0.0312839i
$343$	−12.4483	−	13.7127i	−0.672147	−	0.740418i
$344$	19.7928	−	0.315266i	1.06716	−	0.0169980i
$345$	−0.372608	+	0.467235i	−0.0200605	+	0.0251551i
$346$	32.4283	+	15.4051i	1.74336	+	0.828184i
$347$	31.6969	−	7.23460i	1.70158	−	0.388374i	0.742128	−	0.670258i	$-0.233817\pi$
$347$	31.6969	−	7.23460i	1.70158	−	0.388374i	0.959448	+	0.281884i	$0.0909595\pi$
$348$	−9.44346	−	4.42483i	−0.506222	−	0.237196i
$349$	−1.70363	−	3.53763i	−0.0911935	−	0.189365i	0.850383	−	0.526164i	$-0.176370\pi$
$349$	−1.70363	−	3.53763i	−0.0911935	−	0.189365i	−0.941577	+	0.336799i	$0.890656\pi$
$350$	−6.29914	−	6.43655i	−0.336703	−	0.344048i
$351$	2.50799	−	5.20789i	0.133867	−	0.277977i
$352$	1.47681	+	1.75425i	0.0787144	+	0.0935018i
$353$	−2.60306	−	5.40531i	−0.138547	−	0.287696i	0.820138	−	0.572166i	$-0.193897\pi$
$353$	−2.60306	−	5.40531i	−0.138547	−	0.287696i	−0.958685	+	0.284470i	$0.908182\pi$
$354$	−6.10324	−	4.81438i	−0.324383	−	0.255882i
$355$	1.26811	−	5.55594i	0.0673041	−	0.294879i
$356$	4.80604	+	3.74991i	0.254720	+	0.198745i
$357$	−0.590991	+	0.0569708i	−0.0312785	+	0.00301522i
$358$	−2.13010	−	2.64216i	−0.112579	−	0.139643i
$359$	8.56098	+	17.7771i	0.451831	+	0.938238i	0.995118	+	0.0986904i	$0.0314653\pi$
$359$	8.56098	+	17.7771i	0.451831	+	0.938238i	−0.543287	+	0.839547i	$0.682820\pi$
$360$	0.942645	−	4.45598i	0.0496818	−	0.234851i
$361$	−18.8326			−0.991192
$362$	25.0481	−	0.132981i	1.31650	−	0.00698934i
$363$	−2.41116	+	10.5640i	−0.126553	+	0.554466i
$364$	9.94376	+	28.9251i	0.521195	+	1.51609i
$365$	4.47307	+	19.5978i	0.234131	+	1.02580i
$366$	−2.09097	−	8.94205i	−0.109297	−	0.467408i
$367$	−13.0821	−	16.4044i	−0.682880	−	0.856304i	0.312736	−	0.949840i	$-0.398754\pi$
$367$	−13.0821	−	16.4044i	−0.682880	−	0.856304i	−0.995616	+	0.0935361i	$0.970183\pi$
$368$	−1.14071	+	0.950002i	−0.0594635	+	0.0495223i
$369$	4.85328	−	1.10773i	0.252651	−	0.0576661i
$370$	4.16066	+	17.7931i	0.216302	+	0.925018i
$371$	−20.0728	−	13.0679i	−1.04213	−	0.678453i
$372$	−0.557834	+	2.56949i	−0.0289224	+	0.133222i
$373$	−9.69926			−0.502208			−0.251104	−	0.967960i	$-0.580794\pi$
$373$	−9.69926			−0.502208			−0.251104	+	0.967960i	$0.580794\pi$
$374$	−0.000682990	−	0.128647i	−3.53166e−5	−	0.00665218i
$375$	−11.6283	−	2.65409i	−0.600484	−	0.137057i
$376$	−2.42274	−	4.83245i	−0.124943	−	0.249215i
$377$	23.5649	−	18.7924i	1.21366	−	0.967858i
$378$	1.19762	+	3.54481i	0.0615988	+	0.182326i
$379$	−0.832162	−	0.663627i	−0.0427453	−	0.0340882i	0.601884	−	0.798583i	$-0.294417\pi$
$379$	−0.832162	−	0.663627i	−0.0427453	−	0.0340882i	−0.644629	+	0.764495i	$0.722988\pi$
$380$	1.28754	+	0.279523i	0.0660492	+	0.0143392i
$381$	−10.0692	−	8.02993i	−0.515861	−	0.411386i
$382$	25.3236	−	12.3613i	1.29567	−	0.632458i
$383$	18.1795	+	22.7964i	0.928932	+	1.16484i	0.986046	+	0.166476i	$0.0532387\pi$
$383$	18.1795	+	22.7964i	0.928932	+	1.16484i	−0.0571141	+	0.998368i	$0.518190\pi$
$384$	4.52672	−	10.3686i	0.231003	−	0.529123i
$385$	0.596574	−	1.62074i	0.0304042	−	0.0826005i
$386$	−5.86842	−	12.0222i	−0.298695	−	0.611914i
$387$	−3.03663	+	6.30562i	−0.154360	+	0.320533i
$388$	−22.3066	+	5.34114i	−1.13245	+	0.271155i
$389$	20.6879	+	9.96278i	1.04892	+	0.505133i	0.877256	−	0.480022i	$-0.159371\pi$
$389$	20.6879	+	9.96278i	1.04892	+	0.505133i	0.171664	+	0.985156i	$0.445086\pi$
$390$	10.3351	+	8.15257i	0.523337	+	0.412821i
$391$	0.0832833			0.00421182
$392$	−17.6962	−	8.87952i	−0.893791	−	0.448483i
$393$	0.563991			0.0284496
$394$	4.54714	+	3.58690i	0.229082	+	0.180705i
$395$	6.70930	+	3.23103i	0.337582	+	0.162571i
$396$	−0.788451	+	0.188788i	−0.0396212	+	0.00948697i
$397$	5.42418	−	11.2634i	0.272232	−	0.565295i	−0.719370	−	0.694627i	$-0.755569\pi$
$397$	5.42418	−	11.2634i	0.272232	−	0.565295i	0.991601	+	0.129333i	$0.0412835\pi$
$398$	9.63030	+	19.7289i	0.482724	+	0.988921i
$399$	−1.02725	+	0.340991i	−0.0514268	+	0.0170709i
$400$	−8.76112	−	3.99222i	−0.438056	−	0.199611i
$401$	−1.58038	−	1.98173i	−0.0789202	−	0.0989628i	0.740804	−	0.671721i	$-0.234445\pi$
$401$	−1.58038	−	1.98173i	−0.0789202	−	0.0989628i	−0.819724	+	0.572758i	$0.805873\pi$
$402$	14.1525	−	6.90827i	0.705862	−	0.344553i
$403$	−5.94133	−	4.73805i	−0.295959	−	0.236019i
$404$	9.53984	+	2.07109i	0.474625	+	0.103041i
$405$	1.25898	+	1.00400i	0.0625591	+	0.0498892i
$406$	−2.39350	+	19.3630i	−0.118788	+	0.960967i
$407$	2.54305	−	2.02802i	0.126054	−	0.100525i
$408$	−0.567408	+	0.284469i	−0.0280909	+	0.0140833i
$409$	16.1499	+	3.68612i	0.798562	+	0.182267i	0.602284	−	0.798282i	$-0.294257\pi$
$409$	16.1499	+	3.68612i	0.798562	+	0.182267i	0.196278	+	0.980548i	$0.437114\pi$
$410$	0.0601854	+	11.3364i	0.00297234	+	0.559866i
$411$	−0.0525140			−0.00259033
$412$	−3.46186	+	15.9460i	−0.170553	+	0.785602i
$413$	−5.02357	+	13.6477i	−0.247194	+	0.671562i
$414$	−0.119504	−	0.511061i	−0.00587332	−	0.0251173i
$415$	−2.02619	+	0.462464i	−0.0994615	+	0.0227014i
$416$	21.0585	+	25.0146i	1.03248	+	1.22644i
$417$	11.1448	+	13.9752i	0.545765	+	0.684367i
$418$	−0.0534001	−	0.228366i	−0.00261188	−	0.0111697i
$419$	−3.69724	−	16.1986i	−0.180622	−	0.791356i	−0.981335	−	0.192307i	$-0.938403\pi$
$419$	−3.69724	−	16.1986i	−0.180622	−	0.791356i	0.800713	−	0.599048i	$-0.204454\pi$
$420$	−8.47239	+	0.907621i	−0.413410	+	0.0442874i
$421$	4.92320	−	21.5699i	0.239942	−	1.05125i	−0.701126	−	0.713037i	$-0.747319\pi$
$421$	4.92320	−	21.5699i	0.239942	−	1.05125i	0.941068	−	0.338217i	$-0.109824\pi$
$422$	−22.1342	+	0.117511i	−1.07748	+	0.00572035i
$423$	1.91123			0.0929270
$424$	−25.0512	−	5.29947i	−1.21659	−	0.257365i
$425$	0.234359	+	0.486652i	0.0113681	+	0.0236061i
$426$	3.14123	+	3.89636i	0.152193	+	0.188779i
$427$	−14.6922	+	8.90513i	−0.711007	+	0.430949i
$428$	−31.2711	−	24.3992i	−1.51155	−	1.17938i
$429$	0.521403	−	2.28442i	0.0251736	−	0.110293i
$430$	−12.5135	−	9.87098i	−0.603456	−	0.476021i
$431$	10.5087	+	21.8215i	0.506186	+	1.05111i	0.984898	+	0.173134i	$0.0553894\pi$
$431$	10.5087	+	21.8215i	0.506186	+	1.05111i	−0.478712	+	0.877972i	$0.658896\pi$
$432$	2.55980	+	3.07366i	0.123159	+	0.147882i
$433$	−8.25017	+	17.1316i	−0.396478	+	0.823295i	0.603192	+	0.797596i	$0.293895\pi$
$433$	−8.25017	+	17.1316i	−0.396478	+	0.823295i	−0.999670	+	0.0256985i	$0.991819\pi$
$434$	4.89379	−	0.497992i	0.234909	−	0.0239044i
$435$	3.64316	+	7.56511i	0.174676	+	0.362719i
$436$	23.7287	+	11.1183i	1.13640	+	0.532471i
$437$	0.148018	−	0.0337842i	0.00708068	−	0.00161612i
$438$	−15.9462	−	7.57527i	−0.761940	−	0.361960i
$439$	−21.0351	+	26.3772i	−1.00395	+	1.25892i	−0.0382478	+	0.999268i	$0.512178\pi$
$439$	−21.0351	+	26.3772i	−1.00395	+	1.25892i	−0.965704	+	0.259647i	$0.916394\pi$
$440$	−0.0294045	−	1.84606i	−0.00140180	−	0.0880073i
$441$	5.61048	−	4.18600i	0.267165	−	0.199333i
$442$	−0.00973904	−	1.83443i	−0.000463239	−	0.0872550i
$443$	−28.6987	−	22.8865i	−1.36352	−	1.08737i	−0.986958	−	0.160976i	$-0.948536\pi$
$443$	−28.6987	−	22.8865i	−1.36352	−	1.08737i	−0.376559	−	0.926393i	$-0.622893\pi$
$444$	−14.5319	−	6.80906i	−0.689652	−	0.323144i
$445$	−1.09215	−	4.78502i	−0.0517729	−	0.226832i
$446$	5.47084	−	11.5163i	0.259052	−	0.545314i
$447$	6.96989	−	3.35652i	0.329664	−	0.158758i
$448$	−21.0677	−	2.03817i	−0.995353	−	0.0962943i
$449$	−30.0331	−	14.4632i	−1.41735	−	0.682559i	−0.440751	−	0.897630i	$-0.645288\pi$
$449$	−30.0331	−	14.4632i	−1.41735	−	0.682559i	−0.976599	+	0.215070i	$0.931002\pi$
$450$	2.65001	−	2.13643i	0.124923	−	0.100712i
$451$	1.81812	−	0.875561i	0.0856120	−	0.0412286i
$452$	−25.7940	+	33.0587i	−1.21325	+	1.55495i
$453$	−16.2311	−	3.70464i	−0.762603	−	0.174059i
$454$	29.1455	+	22.9907i	1.36787	+	1.07901i
$455$	8.50680	−	23.1108i	0.398805	−	1.08345i
$456$	−0.893051	+	0.735755i	−0.0418210	+	0.0344549i
$457$	−2.00082	+	0.963544i	−0.0935944	+	0.0450727i	−0.480095	−	0.877216i	$-0.659398\pi$
$457$	−2.00082	+	0.963544i	−0.0935944	+	0.0450727i	0.386501	+	0.922289i	$0.373684\pi$
$458$	−0.464598	+	2.08654i	−0.0217092	+	0.0974975i
$459$		−	0.224409i		−	0.0104745i
$460$	1.19517	−	0.0126907i	0.0557249	−	0.000591706i
$461$	11.1416	+	2.54300i	0.518917	+	0.118439i	0.473955	−	0.880549i	$-0.342826\pi$
$461$	11.1416	+	2.54300i	0.518917	+	0.118439i	0.0449624	+	0.998989i	$0.485683\pi$
$462$	0.793058	+	1.29290i	0.0368964	+	0.0601512i
$463$	23.1164	−	5.27616i	1.07431	−	0.245204i	0.351455	−	0.936205i	$-0.385687\pi$
$463$	23.1164	−	5.27616i	1.07431	−	0.245204i	0.722854	+	0.691001i	$0.242830\pi$
$464$	5.07195	+	20.2313i	0.235460	+	0.939217i
$465$	1.65515	−	1.31993i	0.0767555	−	0.0612105i
$466$	−11.9886	+	9.66519i	−0.555363	+	0.447731i
$467$	8.16566	+	35.7761i	0.377862	+	1.65552i	0.704002	+	0.710198i	$0.251395\pi$
$467$	8.16566	+	35.7761i	0.377862	+	1.65552i	−0.326140	+	0.945321i	$0.605748\pi$
$468$	−11.2429	+	2.69201i	−0.519701	+	0.124438i
$469$	−20.4953	−	21.1660i	−0.946386	−	0.977357i
$470$	−0.945966	+	4.24839i	−0.0436342	+	0.195964i
$471$		−	13.0518i		−	0.601397i
$472$	0.247606	+	15.5451i	0.0113970	+	0.715521i
$473$	−0.631306	+	2.76593i	−0.0290275	+	0.127178i
$474$	−5.87719	+	2.86884i	−0.269948	+	0.131770i
$475$	0.613936	+	0.769851i	0.0281693	+	0.0353232i
$476$	0.835047	+	0.844250i	0.0382743	+	0.0386961i
$477$	5.64441	−	7.07787i	0.258440	−	0.324073i
$478$	0.213556	−	0.959091i	0.00976781	−	0.0438678i
$479$	−11.2604	+	14.1201i	−0.514503	+	0.645166i	−0.969432	−	0.245362i	$-0.921093\pi$
$479$	−11.2604	+	14.1201i	−0.514503	+	0.645166i	0.454929	+	0.890528i	$0.349665\pi$
$480$	−8.09930	+	4.16877i	−0.369681	+	0.190277i
$481$	36.2624	−	28.9183i	1.65342	−	1.31856i
$482$	−20.3580	−	9.67111i	−0.927283	−	0.440507i
$483$	−0.839699	+	0.508951i	−0.0382076	+	0.0231581i
$484$	19.4243	−	9.60963i	0.882922	−	0.436801i
$485$	16.6389	+	8.01285i	0.755532	+	0.363845i
$486$	−1.37707	+	0.322007i	−0.0624650	+	0.0146066i
$487$	2.27671	−	4.72763i	0.103167	−	0.214229i	−0.842995	−	0.537921i	$-0.819210\pi$
$487$	2.27671	−	4.72763i	0.103167	−	0.214229i	0.946163	+	0.323692i	$0.104924\pi$
$488$	−11.2212	+	14.5401i	−0.507960	+	0.658199i
$489$			3.86830i			0.174930i
$490$	6.52797	+	14.5432i	0.294903	+	0.656993i
$491$		−	31.8218i		−	1.43610i	−0.695992	−	0.718050i	$-0.745035\pi$
$491$		−	31.8218i		−	1.43610i	0.695992	−	0.718050i	$-0.254965\pi$
$492$	−7.84952	−	6.12457i	−0.353884	−	0.276117i
$493$	0.507708	−	1.05427i	0.0228660	−	0.0474818i
$494$	−0.761454	−	3.25636i	−0.0342594	−	0.146511i
$495$	0.588119	+	0.283223i	0.0264340	+	0.0127299i
$496$	4.68841	−	2.38176i	0.210516	−	0.106944i
$497$	5.10855	−	7.84692i	0.229150	−	0.351982i
$498$	0.783195	−	1.64865i	0.0350958	−	0.0738780i
$499$	−28.4156	+	22.6607i	−1.27206	+	1.01443i	−0.273438	+	0.961890i	$0.588161\pi$
$499$	−28.4156	+	22.6607i	−1.27206	+	1.01443i	−0.998619	+	0.0525418i	$0.983268\pi$
$500$	10.5778	+	21.3813i	0.473054	+	0.956199i
$501$	3.83231	−	4.80556i	0.171215	−	0.214697i
$502$	−24.5825	−	5.47365i	−1.09717	−	0.244301i
$503$	−15.1265	+	18.9681i	−0.674458	+	0.845744i	−0.994831	−	0.101548i	$-0.967621\pi$
$503$	−15.1265	+	18.9681i	−0.674458	+	0.845744i	0.320372	+	0.947292i	$0.396192\pi$
$504$	3.98245	−	6.33562i	0.177392	−	0.282211i
$505$	−4.90056	−	6.14511i	−0.218072	−	0.273454i
$506$	−0.0933280	−	0.191194i	−0.00414894	−	0.00849963i
$507$	4.54213	−	19.9004i	0.201723	−	0.883807i
$508$	0.273492	+	25.7566i	0.0121342	+	1.14276i
$509$			31.9056i			1.41419i	0.707119	+	0.707095i	$0.249995\pi$
$509$			31.9056i			1.41419i	−0.707119	+	0.707095i	$0.750005\pi$
$510$	0.498830	+	0.111072i	0.0220885	+	0.00491834i
$511$	−4.22576	+	32.7563i	−0.186937	+	1.44905i
$512$	−21.7944	+	6.08298i	−0.963187	+	0.268832i
$513$	−0.0910324	−	0.398839i	−0.00401918	−	0.0176092i
$514$	4.58514	+	5.68738i	0.202242	+	0.250860i
$515$	10.2716	−	8.19136i	0.452623	−	0.360955i
$516$	13.6126	−	3.25944i	0.599263	−	0.143489i
$517$	0.755327	−	0.172399i	0.0332193	−	0.00758208i
$518$	−3.68319	+	29.7963i	−0.161830	+	1.30917i
$519$	24.7497	+	5.64895i	1.08639	+	0.247961i
$520$	−0.419291	−	26.3237i	−0.0183871	−	1.15437i
$521$			20.2833i			0.888627i	0.895871	+	0.444313i	$0.146552\pi$
$521$			20.2833i			0.888627i	−0.895871	+	0.444313i	$0.853448\pi$
$522$	−7.19794	−	1.60273i	−0.315045	−	0.0701494i
$523$	11.1189	−	5.35458i	0.486196	−	0.234140i	−0.174694	−	0.984623i	$-0.555894\pi$
$523$	11.1189	−	5.35458i	0.486196	−	0.234140i	0.660889	+	0.750483i	$0.270179\pi$
$524$	−0.712610	−	0.874375i	−0.0311305	−	0.0381973i
$525$	−5.33688	−	3.47445i	−0.232921	−	0.151638i
$526$	8.14671	−	10.3277i	0.355213	−	0.450307i
$527$	−0.287628	−	0.0656492i	−0.0125293	−	0.00285972i
$528$	1.28890	+	0.983827i	0.0560923	+	0.0428156i
$529$	−20.5982	+	9.91957i	−0.895574	+	0.431285i
$530$	12.9394	+	16.0499i	0.562051	+	0.697165i
$531$	−4.95237	−	2.38494i	−0.214915	−	0.103497i
$532$	1.82659	+	1.16173i	0.0791928	+	0.0503676i
$533$	25.9254	−	12.4850i	1.12295	−	0.540785i
$534$	3.89345	+	1.84959i	0.168486	+	0.0800395i
$535$	7.10622	+	31.1344i	0.307229	+	1.34606i
$536$	−28.5920	−	13.2124i	−1.23498	−	0.570689i
$537$	−1.87626	−	1.49627i	−0.0809667	−	0.0645688i
$538$	44.2299	−	0.234818i	1.90689	−	0.0101237i
$539$	1.83970	−	2.16041i	0.0792415	−	0.0930555i
$540$	−0.0341954	−	3.22040i	−0.00147153	−	0.138584i
$541$	−4.40295	+	5.52112i	−0.189298	+	0.237372i	−0.867419	−	0.497578i	$-0.834223\pi$
$541$	−4.40295	+	5.52112i	−0.189298	+	0.237372i	0.678122	+	0.734950i	$0.262794\pi$
$542$	10.2749	−	21.6290i	0.441344	−	0.929046i
$543$	17.2679	−	3.94128i	0.741036	−	0.169137i
$544$	1.15795	+	0.520242i	0.0496467	+	0.0223052i
$545$	−9.15423	−	19.0089i	−0.392124	−	0.814254i
$546$	11.3085	+	18.4360i	0.483961	+	0.788989i
$547$	−1.25620	+	2.60853i	−0.0537113	+	0.111533i	−0.926097	−	0.377286i	$-0.876858\pi$
$547$	−1.25620	+	2.60853i	−0.0537113	+	0.111533i	0.872386	+	0.488818i	$0.162572\pi$
$548$	0.0663521	+	0.0814143i	0.00283442	+	0.00347785i
$549$	−2.81745	−	5.85048i	−0.120246	−	0.249693i
$550$	0.854587	−	1.08337i	0.0364397	−	0.0461950i
$551$	0.474675	−	2.07969i	0.0202219	−	0.0885977i
$552$	−0.641320	+	0.831003i	−0.0272964	+	0.0353698i
$553$	8.51122	+	8.78975i	0.361934	+	0.373778i
$554$	−10.4539	+	8.42787i	−0.444143	+	0.358066i
$555$	5.60621	+	11.6414i	0.237970	+	0.494151i
$556$	7.58457	−	34.9360i	0.321658	−	1.48162i
$557$	−4.78223			−0.202630			−0.101315	−	0.994854i	$-0.532305\pi$
$557$	−4.78223			−0.202630			−0.101315	+	0.994854i	$0.532305\pi$
$558$	0.00987056	+	1.85920i	0.000417854	+	0.0787064i
$559$	−9.00205	+	39.4406i	−0.380746	+	1.66816i
$560$	12.1121	+	11.9883i	0.511829	+	0.506596i
$561$	−0.0202424	−	0.0886876i	−0.000854634	−	0.00374440i
$562$	17.7515	−	4.15095i	0.748804	−	0.175097i
$563$	23.5780	+	29.5659i	0.993694	+	1.24605i	0.969180	+	0.246354i	$0.0792325\pi$
$563$	23.5780	+	29.5659i	0.993694	+	1.24605i	0.0245143	+	0.999699i	$0.492196\pi$
$564$	−2.41486	−	2.96304i	−0.101684	−	0.124767i
$565$	32.9141	−	7.51244i	1.38471	−	0.316051i
$566$	−42.3143	+	9.89460i	−1.77860	+	0.415901i
$567$	1.37138	+	2.26259i	0.0575926	+	0.0950199i
$568$	2.07168	−	9.79306i	0.0869259	−	0.410908i
$569$	−22.4589			−0.941527			−0.470764	−	0.882259i	$-0.656022\pi$
$569$	−22.4589			−0.941527			−0.470764	+	0.882259i	$0.656022\pi$
$570$	0.931620	−	0.00494600i	0.0390213	−	0.000207165i
$571$	14.1523	+	3.23017i	0.592255	+	0.135178i	0.508135	−	0.861277i	$-0.330335\pi$
$571$	14.1523	+	3.23017i	0.592255	+	0.135178i	0.0841197	+	0.996456i	$0.473192\pi$
$572$	−4.20041	+	2.07804i	−0.175628	+	0.0868872i
$573$	15.5787	−	12.4236i	0.650811	−	0.519005i
$574$	−6.34119	+	17.5137i	−0.264676	+	0.731006i
$575$	0.698392	+	0.556949i	0.0291250	+	0.0232264i
$576$	1.53086	−	7.85216i	0.0637860	−	0.327173i
$577$	24.0669	+	19.1927i	1.00192	+	0.799003i	0.979643	−	0.200748i	$-0.0643374\pi$
$577$	24.0669	+	19.1927i	1.00192	+	0.799003i	0.0222757	+	0.999752i	$0.492909\pi$
$578$	10.5149	+	21.5411i	0.437361	+	0.895991i
$579$	−5.89803	−	7.39589i	−0.245114	−	0.307363i
$580$	7.12527	−	15.2067i	0.295861	−	0.631425i
$581$	−3.38662	−	0.436895i	−0.140501	−	0.0181255i
$582$	−14.5752	+	7.11464i	−0.604163	+	0.294911i
$583$	1.59226	−	3.30636i	0.0659445	−	0.136935i
$584$	8.40403	+	34.2934i	0.347761	+	1.41907i
$585$	8.38623	+	4.03860i	0.346728	+	0.166975i
$586$	14.4811	−	18.3578i	0.598209	−	0.758355i
$587$	−22.9521			−0.947336			−0.473668	−	0.880704i	$-0.657070\pi$
$587$	−22.9521			−0.947336			−0.473668	+	0.880704i	$0.657070\pi$
$588$	−13.5786	−	3.40906i	−0.559972	−	0.140587i
$589$	−0.537828			−0.0221608
$590$	7.75257	−	9.82800i	0.319168	−	0.404612i
$591$	3.68970	+	1.77687i	0.151774	+	0.0730906i
$592$	7.80488	+	31.1326i	0.320778	+	1.27954i
$593$	9.79782	−	20.3454i	0.402348	−	0.835485i	−0.597097	−	0.802169i	$-0.703679\pi$
$593$	9.79782	−	20.3454i	0.402348	−	0.835485i	0.999445	−	0.0333155i	$-0.0106066\pi$
$594$	−0.515178	+	0.251475i	−0.0211380	+	0.0103181i
$595$	−0.0917397	−	0.951668i	−0.00376096	−	0.0390146i
$596$	−14.0103	−	6.56465i	−0.573883	−	0.268899i
$597$	9.67889	+	12.1369i	0.396131	+	0.496732i
$598$	−1.33080	−	2.72632i	−0.0544206	−	0.111488i
$599$	22.6091	+	18.0302i	0.923783	+	0.736693i	0.964943	−	0.262460i	$-0.0845338\pi$
$599$	22.6091	+	18.0302i	0.923783	+	0.736693i	−0.0411595	+	0.999153i	$0.513105\pi$
$600$	−6.66050	−	1.40900i	−0.271914	−	0.0575223i
$601$	−18.0441	−	14.3897i	−0.736033	−	0.586967i	0.182081	−	0.983284i	$-0.441717\pi$
$601$	−18.0441	−	14.3897i	−0.736033	−	0.586967i	−0.918114	+	0.396317i	$0.870288\pi$
$602$	−13.6922	−	22.3220i	−0.558052	−	0.909777i
$603$	8.70641	−	6.94313i	0.354552	−	0.282746i
$604$	14.7647	+	29.8445i	0.600769	+	1.21435i
$605$	−17.0111	−	3.88268i	−0.691601	−	0.157853i
$606$	6.90273	−	0.0366467i	0.280404	−	0.00148867i
$607$	−7.67133			−0.311369			−0.155685	−	0.987807i	$-0.549758\pi$
$607$	−7.67133			−0.311369			−0.155685	+	0.987807i	$0.549758\pi$
$608$	2.26905	+	0.454893i	0.0920220	+	0.0184483i
$609$	1.32377	+	13.7322i	0.0536419	+	0.556458i
$610$	14.3993	−	3.36707i	0.583011	−	0.136329i
$611$	10.7705	−	2.45830i	0.435729	−	0.0994523i
$612$	−0.347909	+	0.283543i	−0.0140634	+	0.0114616i
$613$	−9.92138	−	12.4410i	−0.400721	−	0.502488i	0.540002	−	0.841664i	$-0.318423\pi$
$613$	−9.92138	−	12.4410i	−0.400721	−	0.502488i	−0.940723	+	0.339175i	$0.889852\pi$
$614$	10.4755	−	2.44956i	0.422758	−	0.0988560i
$615$	1.78377	+	7.81519i	0.0719284	+	0.315139i
$616$	1.00239	−	2.86310i	0.0403875	−	0.115358i
$617$	5.74906	−	25.1883i	0.231449	−	1.01404i	−0.716991	−	0.697083i	$-0.754481\pi$
$617$	5.74906	−	25.1883i	0.231449	−	1.01404i	0.948439	−	0.316959i	$-0.102662\pi$
$618$	0.0612556	+	11.5380i	0.00246406	+	0.464127i
$619$	−39.5594			−1.59003			−0.795014	−	0.606591i	$-0.792536\pi$
$619$	−39.5594			−1.59003			−0.795014	+	0.606591i	$0.792536\pi$
$620$	−4.13764	−	0.898277i	−0.166171	−	0.0360757i
$621$	−0.161024	−	0.334370i	−0.00646168	−	0.0134178i
$622$	−24.7970	+	19.9912i	−0.994269	+	0.801576i
$623$	1.03177	−	7.99782i	0.0413369	−	0.320426i
$624$	18.3790	+	14.0288i	0.735749	+	0.561601i
$625$	1.59587	−	6.99195i	0.0638347	−	0.279678i
$626$	10.6462	−	13.4963i	0.425507	−	0.539419i
$627$	−0.0719530	−	0.149412i	−0.00287353	−	0.00596694i
$628$	−20.2347	+	16.4912i	−0.807454	+	0.658069i
$629$	0.781277	−	1.62234i	0.0311515	−	0.0646868i
$630$	−5.70819	+	1.92851i	−0.227420	+	0.0768338i
$631$	−4.27904	−	8.88552i	−0.170346	−	0.353727i	0.798266	−	0.602305i	$-0.205751\pi$
$631$	−4.27904	−	8.88552i	−0.170346	−	0.353727i	−0.968612	+	0.248578i	$0.920037\pi$
$632$	11.8736	+	5.48680i	0.472305	+	0.218253i
$633$	−15.2591	+	3.48278i	−0.606493	+	0.138428i
$634$	14.4609	−	30.4406i	0.574314	−	1.20895i
$635$	12.9305	−	16.2144i	0.513133	−	0.643448i
$636$	−18.1048	+	0.192244i	−0.717904	+	0.00762295i
$637$	26.2331	−	30.8062i	1.03939	−	1.22059i
$638$	−2.98923	+	0.0158699i	−0.118345	+	0.000628296i
$639$	2.76690	+	2.20653i	0.109457	+	0.0872889i
$640$	16.6966	+	7.28934i	0.659989	+	0.288137i
$641$	−4.02105	−	17.6174i	−0.158822	−	0.695844i	−0.990144	−	0.140053i	$-0.955273\pi$
$641$	−4.02105	−	17.6174i	−0.158822	−	0.695844i	0.831322	−	0.555791i	$-0.187584\pi$
$642$	−25.3332	−	12.0346i	−0.999822	−	0.474967i
$643$	−39.5473	+	19.0450i	−1.55959	+	0.751061i	−0.997126	−	0.0757588i	$-0.975862\pi$
$643$	−39.5473	+	19.0450i	−1.55959	+	0.751061i	−0.562467	+	0.826819i	$0.690148\pi$
$644$	1.85001	+	0.658749i	0.0729008	+	0.0259583i
$645$	−10.1539	−	4.88986i	−0.399809	−	0.192538i
$646$	−0.0814864	−	0.101075i	−0.00320604	−	0.00397675i
$647$	−18.6819	+	8.99675i	−0.734463	+	0.353699i	−0.763438	−	0.645881i	$-0.776490\pi$
$647$	−18.6819	+	8.99675i	−0.734463	+	0.353699i	0.0289748	+	0.999580i	$0.490776\pi$
$648$	2.23916	+	1.72805i	0.0879625	+	0.0678843i
$649$	−2.17233	−	0.495821i	−0.0852715	−	0.0194627i
$650$	12.1859	−	15.4482i	0.477971	−	0.605928i
$651$	3.30118	−	1.09581i	0.129383	−	0.0429483i
$652$	5.99715	−	4.88764i	0.234867	−	0.191415i
$653$	17.3113	−	8.33668i	0.677443	−	0.326239i	−0.0633319	−	0.997993i	$-0.520173\pi$
$653$	17.3113	−	8.33668i	0.677443	−	0.326239i	0.740775	+	0.671753i	$0.234458\pi$
$654$	18.0863	+	4.02719i	0.707232	+	0.157476i
$655$			0.908191i			0.0354860i
$656$	0.422825	+	19.9079i	0.0165085	+	0.777271i
$657$	−12.1703	−	2.77780i	−0.474810	−	0.108372i
$658$	−3.86975	+	6.01366i	−0.150858	+	0.234437i
$659$	−24.6666	+	5.62998i	−0.960873	+	0.219313i	−0.674062	−	0.738674i	$-0.735452\pi$
$659$	−24.6666	+	5.62998i	−0.960873	+	0.219313i	−0.286810	+	0.957987i	$0.592595\pi$
$660$	−0.304005	−	1.26964i	−0.0118334	−	0.0494205i
$661$	20.9710	−	16.7238i	0.815677	−	0.650480i	−0.124100	−	0.992270i	$-0.539604\pi$
$661$	20.9710	−	16.7238i	0.815677	−	0.650480i	0.939777	+	0.341789i	$0.111033\pi$
$662$	−25.6002	−	31.7543i	−0.994979	−	1.23417i
$663$	−0.288644	−	1.26463i	−0.0112100	−	0.0491143i
$664$	−3.54554	+	0.868880i	−0.137594	+	0.0337191i
$665$	−0.549096	−	1.65417i	−0.0212930	−	0.0641461i
$666$	−11.0764	−	2.46632i	−0.429202	−	0.0955681i
$667$		−	1.93517i		−	0.0749299i
$668$	−12.2924	+	0.130525i	−0.475607	+	0.00505016i
$669$	2.00612	−	8.78939i	0.0775611	−	0.339818i
$670$	11.1243	+	22.7896i	0.429771	+	0.880440i
$671$	−1.64120	−	2.05800i	−0.0633579	−	0.0794483i
$672$	−14.8542	+	1.83101i	−0.573013	+	0.0706328i
$673$	−29.8267	+	37.4015i	−1.14973	+	1.44172i	−0.272178	+	0.962247i	$0.587744\pi$
$673$	−29.8267	+	37.4015i	−1.14973	+	1.44172i	−0.877556	+	0.479474i	$0.840827\pi$
$674$	−9.96933	−	2.21982i	−0.384004	−	0.0855041i
$675$	1.50071	−	1.88184i	0.0577625	−	0.0724319i
$676$	−36.5913	+	18.1026i	−1.40736	+	0.696252i
$677$	24.6455	−	19.6541i	0.947202	−	0.755368i	−0.0224779	−	0.999747i	$-0.507156\pi$
$677$	24.6455	−	19.6541i	0.947202	−	0.755368i	0.969680	+	0.244379i	$0.0785841\pi$
$678$	−12.7225	+	26.7814i	−0.488605	+	1.02853i
$679$	21.1076	+	21.7983i	0.810034	+	0.836543i
$680$	−0.458079	−	0.913693i	−0.0175665	−	0.0350385i
$681$	23.6497	+	11.3891i	0.906257	+	0.436430i
$682$	0.171607	+	0.733877i	0.00657117	+	0.0281016i
$683$	17.0957	−	35.4997i	0.654150	−	1.35836i	−0.264923	−	0.964270i	$-0.585347\pi$
$683$	17.0957	−	35.4997i	0.654150	−	1.35836i	0.919073	−	0.394087i	$-0.128939\pi$
$684$	−0.503314	+	0.645069i	−0.0192447	+	0.0246648i
$685$		−	0.0845630i		−	0.00323098i
$686$	1.81141	+	26.1289i	0.0691600	+	0.997606i
$687$			1.51154i			0.0576687i
$688$	−22.2530	−	16.9858i	−0.848386	−	0.647578i
$689$	22.7047	−	47.1467i	0.864979	−	1.79615i
$690$	0.822957	−	0.192437i	0.0313295	−	0.00732595i
$691$	−15.1083	−	7.27578i	−0.574747	−	0.276784i	0.123848	−	0.992301i	$-0.460477\pi$
$691$	−15.1083	−	7.27578i	−0.574747	−	0.276784i	−0.698595	+	0.715518i	$0.746191\pi$
$692$	−22.5137	−	45.5078i	−0.855844	−	1.72995i
$693$	0.746070	+	0.770485i	0.0283409	+	0.0292683i
$694$	−41.5309	−	19.7293i	−1.57649	−	0.748914i
$695$	−22.5041	+	17.9464i	−0.853630	+	0.680747i
$696$	6.60992	+	13.1843i	0.250548	+	0.499749i
$697$	0.696517	−	0.873405i	0.0263825	−	0.0330826i
$698$	−1.20687	+	5.42014i	−0.0456808	+	0.205155i
$699$	−6.78922	+	8.51341i	−0.256792	+	0.322007i
$700$	1.35665	+	12.6640i	0.0512766	+	0.478653i
$701$	−31.4191	−	39.3983i	−1.18668	−	1.48805i	−0.833520	−	0.552490i	$-0.813678\pi$
$701$	−31.4191	−	39.3983i	−1.18668	−	1.48805i	−0.353162	−	0.935562i	$-0.614894\pi$
$702$	−7.34614	+	3.58588i	−0.277262	+	0.135340i
$703$	0.730445	−	3.20029i	0.0275493	−	0.120701i
$704$	−0.103283	−	3.24131i	−0.00389263	−	0.122161i
$705$			3.07763i			0.115910i
$706$	−1.84404	+	8.28168i	−0.0694012	+	0.311685i
$707$	−4.06846	−	12.2564i	−0.153010	−	0.460949i
$708$	2.55993	+	10.6912i	0.0962081	+	0.401801i
$709$	−1.16491	−	5.10379i	−0.0437490	−	0.191677i	0.948331	−	0.317282i	$-0.102770\pi$
$709$	−1.16491	−	5.10379i	−0.0437490	−	0.191677i	−0.992080	+	0.125605i	$0.959913\pi$
$710$	−6.27428	+	5.05830i	−0.235470	+	0.189835i
$711$	−3.61556	+	2.88332i	−0.135594	+	0.108133i
$712$	−2.05194	−	8.37312i	−0.0768997	−	0.313796i
$713$	−0.475673	+	0.108569i	−0.0178141	+	0.00406595i
$714$	0.706101	+	0.454371i	0.0264251	+	0.0170044i
$715$	3.67858	+	0.839612i	0.137571	+	0.0313997i
$716$	0.0509616	+	4.79939i	0.00190452	+	0.179362i
$717$		−	0.694788i		−	0.0259473i
$718$	6.06469	−	27.2369i	0.226332	−	1.01647i
$719$	18.6406	−	8.97685i	0.695178	−	0.334780i	−0.0527054	−	0.998610i	$-0.516784\pi$
$719$	18.6406	−	8.97685i	0.695178	−	0.334780i	0.747884	+	0.663830i	$0.231070\pi$
$720$	−4.94950	+	4.12203i	−0.184457	+	0.153619i
$721$	20.4867	−	6.80049i	0.762966	−	0.253263i
$722$	20.9107	+	16.4949i	0.778215	+	0.613875i
$723$	−15.5375	−	3.54633i	−0.577845	−	0.131889i
$724$	−27.9285	−	21.7912i	−1.03795	−	0.809862i
$725$	11.3078	−	5.44556i	0.419962	−	0.202243i
$726$	11.9299	−	9.61780i	0.442759	−	0.356950i
$727$	8.16728	+	3.93316i	0.302908	+	0.145873i	0.579163	−	0.815212i	$-0.303379\pi$
$727$	8.16728	+	3.93316i	0.302908	+	0.145873i	−0.276256	+	0.961084i	$0.589094\pi$
$728$	14.2935	−	40.8262i	0.529753	−	1.51312i
$729$	−0.900969	+	0.433884i	−0.0333692	+	0.0160698i
$730$	12.1984	−	25.6781i	0.451483	−	0.950388i
$731$	0.349485	+	1.53120i	0.0129262	+	0.0566333i
$732$	−5.51033	+	11.7601i	−0.203668	+	0.434667i
$733$	26.4934	+	21.1278i	0.978557	+	0.780373i	0.975585	−	0.219622i	$-0.0704824\pi$
$733$	26.4934	+	21.1278i	0.978557	+	0.780373i	0.00297233	+	0.999996i	$0.499054\pi$
$734$	0.157533	+	29.6727i	0.00581465	+	1.09524i
$735$	6.74068	+	9.03451i	0.248634	+	0.333243i
$736$	2.09865	−	0.0557214i	0.0773572	−	0.00205392i
$737$	2.81453	−	3.52931i	0.103674	−	0.130004i
$738$	−6.35902	−	3.02086i	−0.234079	−	0.111199i
$739$	−16.2703	+	3.71359i	−0.598513	+	0.136607i	−0.511035	−	0.859560i	$-0.670738\pi$
$739$	−16.2703	+	3.71359i	−0.598513	+	0.136607i	−0.0874779	+	0.996166i	$0.527881\pi$
$740$	10.9646	−	23.4006i	0.403066	−	0.860222i
$741$	−1.02601	−	2.13053i	−0.0376914	−	0.0782669i
$742$	10.8419	+	32.0910i	0.398020	+	1.17810i
$743$	−2.09599	+	4.35236i	−0.0768943	+	0.159673i	−0.935872	−	0.352341i	$-0.885386\pi$
$743$	−2.09599	+	4.35236i	−0.0768943	+	0.159673i	0.858978	+	0.512013i	$0.171100\pi$
$744$	2.86992	−	2.36443i	0.105216	−	0.0866842i
$745$	5.40498	+	11.2236i	0.198023	+	0.411199i
$746$	10.7695	+	8.49524i	0.394299	+	0.311033i
$747$	0.287192	−	1.25827i	0.0105078	−	0.0460378i
$748$	−0.111919	+	0.143440i	−0.00409217	+	0.00524470i
$749$	−6.71333	+	52.0388i	−0.245300	+	1.90146i
$750$	10.5868	+	13.1318i	0.386575	+	0.479505i
$751$	−10.3071	−	21.4030i	−0.376112	−	0.781006i	0.623887	−	0.781514i	$-0.285552\pi$
$751$	−10.3071	−	21.4030i	−0.376112	−	0.781006i	−1.00000		0.000508623i	$0.999838\pi$
$752$	−1.54250	+	7.48767i	−0.0562493	+	0.273047i
$753$	−17.8081			−0.648964
$754$	−42.6247	+	0.226296i	−1.55230	+	0.00824121i
$755$	5.96555	−	26.1368i	0.217109	−	0.951215i
$756$	1.77502	−	4.98491i	0.0645567	−	0.181299i
$757$	5.20929	+	22.8234i	0.189335	+	0.829530i	0.976968	+	0.213386i	$0.0684491\pi$
$757$	5.20929	+	22.8234i	0.189335	+	0.829530i	−0.787633	+	0.616144i	$0.788694\pi$
$758$	0.342737	+	1.46572i	0.0124488	+	0.0532372i
$759$	−0.0937989	−	0.117620i	−0.00340468	−	0.00426934i
$760$	−1.18478	−	1.43807i	−0.0429765	−	0.0521644i
$761$	−22.2588	+	5.08043i	−0.806882	+	0.184165i	−0.606015	−	0.795453i	$-0.707233\pi$
$761$	−22.2588	+	5.08043i	−0.806882	+	0.184165i	−0.200867	+	0.979619i	$0.564376\pi$
$762$	4.14714	+	17.7352i	0.150235	+	0.642480i
$763$	−3.32626	−	34.5051i	−0.120419	−	1.24917i
$764$	−38.9447	−	8.45486i	−1.40897	−	0.305886i
$765$	0.361364			0.0130651
$766$	−0.218916	−	41.2347i	−0.00790975	−	1.48987i
$767$	−30.9762	−	7.07012i	−1.11849	−	0.255287i
$768$	−14.1077	+	7.54795i	−0.509069	+	0.272363i
$769$	−2.48101	+	1.97854i	−0.0894677	+	0.0713481i	−0.667202	−	0.744877i	$-0.732508\pi$
$769$	−2.48101	+	1.97854i	−0.0894677	+	0.0713481i	0.577735	+	0.816225i	$0.303937\pi$
$770$	−2.08195	+	1.27706i	−0.0750283	+	0.0460219i
$771$	4.03874	+	3.22079i	0.145452	+	0.115994i
$772$	−4.01388	+	18.4887i	−0.144463	+	0.665423i
$773$	23.3713	+	18.6380i	0.840609	+	0.670363i	0.946035	−	0.324064i	$-0.105049\pi$
$773$	23.3713	+	18.6380i	0.840609	+	0.670363i	−0.105426	+	0.994427i	$0.533621\pi$
$774$	8.89457	−	4.34172i	0.319709	−	0.156060i
$775$	−1.97295	−	2.47400i	−0.0708705	−	0.0888687i
$776$	29.4461	+	13.6071i	1.05705	+	0.488466i
$777$	2.03706	+	21.1316i	0.0730791	+	0.758091i
$778$	−14.2446	−	29.1819i	−0.510695	−	1.04622i
$779$	0.883611	−	1.83484i	0.0316587	−	0.0657399i
$780$	−4.33493	−	18.1043i	−0.155215	−	0.648237i
$781$	1.29253	+	0.622449i	0.0462503	+	0.0222730i
$782$	−0.0924729	−	0.0729449i	−0.00330683	−	0.00260851i
$783$	−5.21436			−0.186346
$784$	11.8715	+	25.3588i	0.423984	+	0.905670i
$785$	21.0173			0.750139
$786$	−0.626223	−	0.493980i	−0.0223366	−	0.0176197i
$787$	−12.7042	−	6.11803i	−0.452857	−	0.218084i	0.193530	−	0.981094i	$-0.438006\pi$
$787$	−12.7042	−	6.11803i	−0.452857	−	0.218084i	−0.646387	+	0.763010i	$0.723721\pi$
$788$	−1.90724	−	7.96537i	−0.0679428	−	0.283754i
$789$	4.03569	−	8.38021i	0.143675	−	0.298343i
$790$	−4.61968	−	9.46400i	−0.164361	−	0.336714i
$791$	55.0136	+	7.09709i	1.95606	+	0.252344i
$792$	1.04080	+	0.480957i	0.0369833	+	0.0170901i
$793$	−23.4026	−	29.3459i	−0.831050	−	1.04210i
$794$	−15.8879	+	7.75540i	−0.563841	+	0.275229i
$795$	11.3974	+	9.08915i	0.404225	+	0.322359i
$796$	6.58693	−	30.3407i	0.233468	−	1.07540i
$797$	−35.9194	−	28.6448i	−1.27233	−	1.01465i	−0.998603	−	0.0528432i	$-0.983172\pi$
$797$	−35.9194	−	28.6448i	−1.27233	−	1.01465i	−0.273728	−	0.961807i	$-0.588257\pi$
$798$	1.43926	+	0.521115i	0.0509493	+	0.0184473i
$799$	0.335325	−	0.267412i	0.0118629	−	0.00946037i
$800$	6.23120	+	12.1063i	0.220306	+	0.428022i
$801$	2.97153	+	0.678231i	0.104994	+	0.0239641i
$802$	0.0190307	+	3.58459i	0.000671997	+	0.126576i
$803$	−5.06035			−0.178576
$804$	−21.7648	−	4.72512i	−0.767586	−	0.166642i
$805$	−0.819560	−	1.35216i	−0.0288857	−	0.0476574i
$806$	2.44701	+	10.4647i	0.0861924	+	0.368602i
$807$	30.4916	−	6.95951i	1.07335	−	0.244986i
$808$	−8.77849	−	10.6552i	−0.308826	−	0.374850i
$809$	6.31431	+	7.91790i	0.221999	+	0.278379i	0.880342	−	0.474340i	$-0.157313\pi$
$809$	6.31431	+	7.91790i	0.221999	+	0.278379i	−0.658342	+	0.752719i	$0.728742\pi$
$810$	−0.518526	−	2.21748i	−0.0182192	−	0.0779143i
$811$	−9.14343	−	40.0600i	−0.321069	−	1.40670i	−0.835654	−	0.549257i	$-0.814911\pi$
$811$	−9.14343	−	40.0600i	−0.321069	−	1.40670i	0.514585	−	0.857440i	$-0.327946\pi$
$812$	19.6170	−	19.4031i	0.688420	−	0.680916i
$813$	3.76773	−	16.5075i	0.132140	−	0.578944i
$814$	−4.59992	+	0.0244211i	−0.161227	+	0.000855960i
$815$	−6.22909			−0.218195
$816$	0.879174	+	0.181115i	0.0307772	+	0.00634029i
$817$	1.24227	+	2.57961i	0.0434616	+	0.0902490i
$818$	−14.7034	−	18.2380i	−0.514093	−	0.637677i
$819$	10.6385	+	10.9867i	0.371740	+	0.383905i
$820$	9.86236	−	12.6400i	0.344408	−	0.441409i
$821$	−9.89663	+	43.3600i	−0.345395	+	1.51327i	0.442108	+	0.896962i	$0.354231\pi$
$821$	−9.89663	+	43.3600i	−0.345395	+	1.51327i	−0.787503	+	0.616311i	$0.788626\pi$
$822$	0.0583086	+	0.0459952i	0.00203374	+	0.00160427i
$823$	−13.4215	−	27.8700i	−0.467844	−	0.971488i	−0.992735	−	0.120319i	$-0.961608\pi$
$823$	−13.4215	−	27.8700i	−0.467844	−	0.971488i	0.524891	−	0.851169i	$-0.324106\pi$
$824$	17.8104	−	14.6734i	0.620454	−	0.511171i
$825$	0.423343	−	0.879081i	0.0147389	−	0.0306057i
$826$	17.5315	−	10.7537i	0.609998	−	0.374169i
$827$	12.7185	+	26.4102i	0.442265	+	0.918372i	0.996305	+	0.0858823i	$0.0273709\pi$
$827$	12.7185	+	26.4102i	0.442265	+	0.918372i	−0.554041	+	0.832490i	$0.686915\pi$
$828$	−0.314930	+	0.672122i	−0.0109446	+	0.0233579i
$829$	−36.9979	+	8.44454i	−1.28499	+	0.293291i	−0.809860	−	0.586624i	$-0.800457\pi$
$829$	−36.9979	+	8.44454i	−1.28499	+	0.293291i	−0.475132	+	0.879915i	$0.657600\pi$
$830$	2.65482	+	1.26117i	0.0921500	+	0.0437759i
$831$	−5.92008	+	7.42354i	−0.205365	+	0.257520i
$832$	−1.47276	−	46.2191i	−0.0510586	−	1.60236i
$833$	0.398667	−	1.51943i	0.0138130	−	0.0526452i
$834$	−0.134205	−	25.2786i	−0.00464713	−	0.875326i
$835$	7.73836	+	6.17114i	0.267797	+	0.213561i
$836$	−0.140725	+	0.300335i	−0.00486708	+	0.0103873i
$837$	0.292543	+	1.28171i	0.0101118	+	0.0443025i
$838$	−10.0826	+	21.2243i	−0.348299	+	0.733182i
$839$	31.9629	−	15.3925i	1.10348	−	0.531409i	0.208731	−	0.977973i	$-0.433067\pi$
$839$	31.9629	−	15.3925i	1.10348	−	0.531409i	0.894752	+	0.446564i	$0.147352\pi$
$840$	10.2022	+	6.41290i	0.352010	+	0.221266i
$841$	1.63121	+	0.785547i	0.0562485	+	0.0270878i
$842$	−24.3588	+	19.6379i	−0.839459	+	0.676768i
$843$	11.6142	−	5.59313i	0.400016	−	0.192638i
$844$	24.6795	+	19.2561i	0.849502	+	0.662823i
$845$	32.0455	+	7.31417i	1.10240	+	0.251615i
$846$	−2.12212	−	1.67398i	−0.0729598	−	0.0575525i
$847$	−24.0256	−	15.6413i	−0.825531	−	0.537443i
$848$	23.1737	+	27.8257i	0.795789	+	0.955537i
$849$	−27.6849	+	13.3323i	−0.950142	+	0.457564i
$850$	0.166023	−	0.745617i	0.00569453	−	0.0255745i
$851$		−	2.97789i		−	0.102081i
$852$	−0.0751523	−	7.07759i	−0.00257468	−	0.242474i
$853$	−13.6971	−	3.12627i	−0.468979	−	0.107041i	−0.0185008	−	0.999829i	$-0.505889\pi$
$853$	−13.6971	−	3.12627i	−0.468979	−	0.107041i	−0.450478	+	0.892787i	$0.648746\pi$
$854$	24.1131	+	2.98068i	0.825134	+	0.101997i
$855$	0.642248	−	0.146589i	0.0219644	−	0.00501323i
$856$	13.3512	+	54.4808i	0.456335	+	1.86212i
$857$	35.2389	−	28.1021i	1.20374	−	0.959949i	0.203920	−	0.978988i	$-0.434632\pi$
$857$	35.2389	−	28.1021i	1.20374	−	0.959949i	0.999819	+	0.0190383i	$0.00606043\pi$
$858$	−2.57978	+	2.07981i	−0.0880722	+	0.0710034i
$859$	−4.55331	−	19.9493i	−0.155357	−	0.680663i	−0.991275	−	0.131809i	$-0.957922\pi$
$859$	−4.55331	−	19.9493i	−0.155357	−	0.680663i	0.835918	−	0.548854i	$-0.184936\pi$
$860$	5.24865	+	21.9203i	0.178978	+	0.747477i
$861$	−1.68515	+	13.0625i	−0.0574297	+	0.445170i
$862$	7.44447	−	33.4336i	0.253560	−	1.13875i
$863$		−	15.0492i		−	0.512282i	−0.966639	−	0.256141i	$-0.917549\pi$
$863$		−	15.0492i		−	0.512282i	0.966639	−	0.256141i	$-0.0824511\pi$
$864$	−0.150143	−	5.65486i	−0.00510796	−	0.192382i
$865$	−9.09646	+	39.8542i	−0.309289	+	1.35508i
$866$	24.1655	−	11.7960i	0.821178	−	0.400843i
$867$	10.5679	+	13.2518i	0.358906	+	0.450053i
$868$	−5.86995	−	3.73336i	−0.199239	−	0.126718i
$869$	−1.16881	+	1.46564i	−0.0396491	+	0.0497183i
$870$	2.58086	−	11.5908i	0.0874992	−	0.392964i
$871$	40.1335	−	50.3259i	1.35987	−	1.70523i
$872$	−16.6088	−	33.1283i	−0.562446	−	1.12187i
$873$	−8.96648	+	7.15053i	−0.303470	+	0.242009i
$874$	−0.193941	−	0.0921321i	−0.00656017	−	0.00311641i
$875$	17.2172	−	26.4462i	0.582047	−	0.894046i
$876$	11.0708	+	22.3779i	0.374049	+	0.756078i
$877$	31.5972	+	15.2164i	1.06696	+	0.513821i	0.883126	−	0.469136i	$-0.155435\pi$
$877$	31.5972	+	15.2164i	1.06696	+	0.513821i	0.183835	+	0.982957i	$0.441149\pi$
$878$	46.4591	−	10.8638i	1.56792	−	0.366635i
$879$	7.17361	−	14.8962i	0.241960	−	0.502435i
$880$	−1.58425	+	2.07551i	−0.0534050	+	0.0699654i
$881$			16.3064i			0.549378i	0.961533	+	0.274689i	$0.0885748\pi$
$881$			16.3064i			0.549378i	−0.961533	+	0.274689i	$0.911425\pi$
$882$	−9.89592	−	0.266132i	−0.333213	−	0.00896114i
$883$			27.7599i			0.934194i	0.884206	+	0.467097i	$0.154700\pi$
$883$			27.7599i			0.934194i	−0.884206	+	0.467097i	$0.845300\pi$
$884$	−1.59590	+	2.04538i	−0.0536759	+	0.0687934i
$885$	3.84044	−	7.97477i	0.129095	−	0.268069i
$886$	11.8199	+	50.5480i	0.397099	+	1.69819i
$887$	41.4319	+	19.9526i	1.39115	+	0.669941i	0.971345	−	0.237674i	$-0.0763851\pi$
$887$	41.4319	+	19.9526i	1.39115	+	0.669941i	0.419802	+	0.907616i	$0.362099\pi$
$888$	10.1715	+	20.2884i	0.341334	+	0.680833i
$889$	29.1399	−	17.6620i	0.977321	−	0.592365i
$890$	−2.97838	+	6.26959i	−0.0998354	+	0.210157i
$891$	−0.316930	+	0.252743i	−0.0106176	+	0.00846722i
$892$	−16.1613	+	7.99534i	−0.541119	+	0.267704i
$893$	0.487491	−	0.611295i	0.0163133	−	0.0204562i
$894$	−10.6788	−	2.37780i	−0.357153	−	0.0795254i
$895$	2.40943	−	3.02133i	0.0805384	−	0.100992i
$896$	21.6071	+	20.7155i	0.721844	+	0.692056i
$897$	−1.33752	−	1.67719i	−0.0446584	−	0.0559999i
$898$	20.6792	+	42.3640i	0.690075	+	1.41371i
$899$	−1.52542	+	6.68331i	−0.0508756	+	0.222901i
$900$	−4.81364	+	0.0511130i	−0.160455	+	0.00170377i
$901$		−	2.03156i		−	0.0676810i
$902$	−2.78561	−	0.620257i	−0.0927507	−	0.0206523i
$903$	−12.8809	−	13.3025i	−0.428651	−	0.442678i
$904$	57.5952	−	14.1144i	1.91559	−	0.469439i
$905$	6.34662	+	27.8064i	0.210969	+	0.924314i
$906$	14.7773	+	18.3297i	0.490943	+	0.608962i
$907$	−20.5954	+	16.4243i	−0.683860	+	0.545360i	−0.902630	−	0.430416i	$-0.858367\pi$
$907$	−20.5954	+	16.4243i	−0.683860	+	0.545360i	0.218771	+	0.975776i	$0.429795\pi$
$908$	−12.2247	−	51.0551i	−0.405693	−	1.69432i
$909$	4.75866	−	1.08613i	0.157835	−	0.0360247i
$910$	−29.6874	+	18.2101i	−0.984128	+	0.603658i
$911$	−30.6842	−	7.00346i	−1.01661	−	0.232035i	−0.318423	−	0.947949i	$-0.603153\pi$
$911$	−30.6842	−	7.00346i	−1.01661	−	0.232035i	−0.698189	+	0.715914i	$0.746010\pi$
$912$	1.63602	−	0.0347475i	0.0541739	−	0.00115060i
$913$		−	0.523182i		−	0.0173148i
$914$	3.06553	+	0.682585i	0.101399	+	0.0225779i
$915$	9.42099	−	4.53691i	0.311448	−	0.149986i
$916$	2.34339	−	1.90985i	0.0774277	−	0.0631031i
$917$	−0.515444	+	1.40033i	−0.0170215	+	0.0462429i
$918$	−0.196552	+	0.249171i	−0.00648718	+	0.00822386i
$919$	13.0348	+	2.97512i	0.429980	+	0.0981401i	0.432033	−	0.901858i	$-0.357796\pi$
$919$	13.0348	+	2.97512i	0.429980	+	0.0981401i	−0.00205310	+	0.999998i	$0.500654\pi$
$920$	−1.33816	−	1.03271i	−0.0441178	−	0.0340475i
$921$	6.85380	−	3.30061i	0.225840	−	0.108759i
$922$	−10.1437	−	12.5822i	−0.334065	−	0.414371i
$923$	18.4307	+	8.87576i	0.606654	+	0.292149i
$924$	0.251842	−	2.13018i	0.00828499	−	0.0700776i
$925$	17.4008	−	8.37979i	0.572135	−	0.275526i
$926$	−30.2883	−	14.3885i	−0.995335	−	0.472835i
$927$	1.81549	+	7.95416i	0.0596284	+	0.261249i
$928$	12.0883	−	26.9061i	0.396819	−	0.883235i
$929$	−32.8873	−	26.2268i	−1.07900	−	0.860473i	−0.0882386	−	0.996099i	$-0.528124\pi$
$929$	−32.8873	−	26.2268i	−1.07900	−	0.860473i	−0.990760	+	0.135627i	$0.956695\pi$
$930$	−2.99386	+	0.0158945i	−0.0981726	+	0.000521201i
$931$	0.0921818	−	2.86219i	0.00302114	−	0.0938044i
$932$	21.7769	−	0.231235i	0.713326	−	0.00757434i
$933$	−14.0427	+	17.6089i	−0.459736	+	0.576490i
$934$	22.2684	−	46.8757i	0.728643	−	1.53382i
$935$	0.142813	−	0.0325961i	0.00467049	−	0.00106601i
$936$	14.8413	+	6.85817i	0.485102	+	0.224166i
$937$	10.2790	+	21.3446i	0.335801	+	0.697298i	0.998677	−	0.0514317i	$-0.0163785\pi$
$937$	10.2790	+	21.3446i	0.335801	+	0.697298i	−0.662876	+	0.748730i	$0.730664\pi$
$938$	4.21823	+	41.4527i	0.137730	+	1.35348i
$939$	5.27388	−	10.9513i	0.172107	−	0.357383i
$940$	4.77136	−	3.88863i	0.155625	−	0.126833i
$941$	−20.8460	−	43.2871i	−0.679559	−	1.41112i	−0.900075	−	0.435735i	$-0.856489\pi$
$941$	−20.8460	−	43.2871i	−0.679559	−	1.41112i	0.220516	−	0.975383i	$-0.429226\pi$
$942$	−11.4317	+	14.4920i	−0.372464	+	0.472176i
$943$	0.411103	−	1.80116i	0.0133874	−	0.0586539i
$944$	13.3405	−	17.4772i	0.434196	−	0.568836i
$945$	−3.64343	+	2.20832i	−0.118521	+	0.0718368i
$946$	3.12355	−	2.51819i	0.101555	−	0.0818734i
$947$	14.6321	+	30.3838i	0.475478	+	0.987340i	0.991420	+	0.130717i	$0.0417278\pi$
$947$	14.6321	+	30.3838i	0.475478	+	0.987340i	−0.515942	+	0.856624i	$0.672558\pi$
$948$	9.03841	+	1.96223i	0.293554	+	0.0637303i
$949$	−72.1576			−2.34234
$950$	−0.00739294	−	1.39252i	−0.000239859	−	0.0451794i
$951$	5.30270	−	23.2326i	0.171952	−	0.753370i
$952$	−0.187739	−	1.66880i	−0.00608467	−	0.0540860i
$953$	−6.00074	−	26.2910i	−0.194383	−	0.851648i	−0.974208	−	0.225650i	$-0.927549\pi$
$953$	−6.00074	−	26.2910i	−0.194383	−	0.851648i	0.779825	−	0.625997i	$-0.215308\pi$
$954$	−12.4665	+	2.91511i	−0.403617	+	0.0943802i
$955$	20.0057	+	25.0863i	0.647369	+	0.811775i
$956$	−1.07715	+	0.877873i	−0.0348377	+	0.0283924i
$957$	−2.06074	+	0.470351i	−0.0666143	+	0.0152043i
$958$	24.8703	−	5.81557i	0.803523	−	0.187892i
$959$	0.0479937	−	0.130387i	0.00154980	−	0.00421040i
$960$	12.6443	+	2.46514i	0.408092	+	0.0795621i
$961$	−29.2716			−0.944246
$962$	−65.5923	+	0.348231i	−2.11478	+	0.0112274i
$963$	−19.3346	−	4.41300i	−0.623049	−	0.142207i
$964$	14.1338	+	28.5691i	0.455219	+	0.920150i
$965$	11.9095	−	9.49755i	0.383382	−	0.305737i
$966$	1.37813	+	0.170354i	0.0443405	+	0.00548103i
$967$	−18.6142	−	14.8443i	−0.598591	−	0.477360i	0.276701	−	0.960956i	$-0.410759\pi$
$967$	−18.6142	−	14.8443i	−0.598591	−	0.477360i	−0.875291	+	0.483596i	$0.839330\pi$
$968$	−29.9843	−	6.34307i	−0.963733	−	0.203874i
$969$	−0.0717759	−	0.0572394i	−0.00230577	−	0.00183879i
$970$	−11.4567	−	23.4704i	−0.367851	−	0.753589i
$971$	−7.62304	−	9.55899i	−0.244635	−	0.306762i	0.644321	−	0.764755i	$-0.277140\pi$
$971$	−7.62304	−	9.55899i	−0.244635	−	0.306762i	−0.888956	+	0.457993i	$0.848569\pi$
$972$	1.81105	+	0.848586i	0.0580895	+	0.0272184i
$973$	−44.8843	+	14.8992i	−1.43893	+	0.477646i
$974$	−6.66869	+	3.25520i	−0.213679	+	0.104303i
$975$	6.03663	−	12.5352i	0.193327	−	0.401447i
$976$	25.1945	−	6.31621i	0.806457	−	0.202177i
$977$	41.3861	+	19.9305i	1.32406	+	0.637632i	0.956327	−	0.292300i	$-0.0944205\pi$
$977$	41.3861	+	19.9305i	1.32406	+	0.637632i	0.367731	+	0.929932i	$0.380135\pi$
$978$	3.38811	−	4.29513i	0.108340	−	0.137343i
$979$	1.23554			0.0394881
$980$	5.48958	−	21.8655i	0.175358	−	0.698468i
$981$	13.1022			0.418320
$982$	−27.8716	+	35.3331i	−0.889420	+	1.12753i
$983$	−12.6802	−	6.10645i	−0.404434	−	0.194765i	0.220597	−	0.975365i	$-0.429199\pi$
$983$	−12.6802	−	6.10645i	−0.404434	−	0.194765i	−0.625031	+	0.780600i	$0.714914\pi$
$984$	3.35135	+	13.6755i	0.106837	+	0.435959i
$985$	−2.86128	+	5.94150i	−0.0911678	+	0.189312i
$986$	−1.48713	+	0.725913i	−0.0473597	+	0.0231178i
$987$	−1.74671	+	4.74537i	−0.0555985	+	0.151047i
$988$	−2.00666	+	4.28261i	−0.0638403	+	0.136248i
$989$	1.61944	+	2.03072i	0.0514952	+	0.0645730i
$990$	−0.404948	−	0.829587i	−0.0128701	−	0.0263660i
$991$	−17.0671	−	13.6106i	−0.542155	−	0.432354i	0.313736	−	0.949510i	$-0.398419\pi$
$991$	−17.0671	−	13.6106i	−0.542155	−	0.432354i	−0.855891	+	0.517156i	$0.826991\pi$
$992$	−7.29183	−	1.46185i	−0.231516	−	0.0464137i
$993$	−22.5495	−	17.9826i	−0.715586	−	0.570660i
$994$	−12.5451	+	4.23836i	−0.397906	+	0.134433i
$995$	−19.5440	+	15.5858i	−0.619587	+	0.494104i
$996$	−2.31361	+	1.14460i	−0.0733096	+	0.0362679i
$997$	11.9209	+	2.72088i	0.377540	+	0.0861710i	0.407080	−	0.913393i	$-0.366547\pi$
$997$	11.9209	+	2.72088i	0.377540	+	0.0861710i	−0.0295399	+	0.999564i	$0.509404\pi$
$998$	51.3987	−	0.272877i	1.62700	−	0.00863778i
$999$	−8.02401			−0.253868

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	588.2.x.a.55.7	✓	168
4.3	odd	2		588.2.x.b.55.23	yes	168
49.41	odd	14		588.2.x.b.139.23	yes	168
196.139	even	14	inner	588.2.x.a.139.7	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
588.2.x.a.55.7	✓	168	1.1	even	1	trivial
588.2.x.a.139.7	yes	168	196.139	even	14	inner
588.2.x.b.55.23	yes	168	4.3	odd	2
588.2.x.b.139.23	yes	168	49.41	odd	14

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:	\( N \)	\(=\)	\( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	588.x (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.11034 - 0.875865i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(0.465720 + 1.94502i) q^{4} +(0.698680 - 1.45082i) q^{5} +(0.620360 + 1.27089i) q^{6} +(1.90070 - 1.84047i) q^{7} +(1.18647 - 2.56755i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\)	\(q+(-1.11034 - 0.875865i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(0.465720 + 1.94502i) q^{4} +(0.698680 - 1.45082i) q^{5} +(0.620360 + 1.27089i) q^{6} +(1.90070 - 1.84047i) q^{7} +(1.18647 - 2.56755i) q^{8} +(0.623490 + 0.781831i) q^{9} +(-2.04650 + 0.998961i) q^{10} +(0.316930 + 0.252743i) q^{11} +(0.424314 - 1.95447i) q^{12} +(4.51924 + 3.60397i) q^{13} +(-3.72243 + 0.378795i) q^{14} +(-1.25898 + 1.00400i) q^{15} +(-3.56621 + 1.81167i) q^{16} +(0.218782 + 0.0499357i) q^{17} +(-0.00750799 - 1.41419i) q^{18} +0.409096 q^{19} +(3.14727 + 0.683269i) q^{20} +(-2.51102 + 0.833524i) q^{21} +(-0.130532 - 0.558220i) q^{22} +(0.361818 - 0.0825826i) q^{23} +(-2.18299 + 1.79849i) q^{24} +(1.50071 + 1.88184i) q^{25} +(-1.86131 - 7.95989i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(4.46495 + 2.83976i) q^{28} +(1.16030 - 5.08362i) q^{29} +(2.27727 - 0.0120901i) q^{30} -1.31467 q^{31} +(5.54649 + 1.11195i) q^{32} +(-0.175883 - 0.365225i) q^{33} +(-0.199187 - 0.247070i) q^{34} +(-1.34222 - 4.04348i) q^{35} +(-1.23031 + 1.57681i) q^{36} +(1.78551 - 7.82283i) q^{37} +(-0.454237 - 0.358313i) q^{38} +(-2.50799 - 5.20789i) q^{39} +(-2.89610 - 3.51525i) q^{40} +(2.15991 - 4.48510i) q^{41} +(3.51815 + 1.27382i) q^{42} +(3.03663 + 6.30562i) q^{43} +(-0.343990 + 0.734143i) q^{44} +(1.56992 - 0.358324i) q^{45} +(-0.474073 - 0.225209i) q^{46} +(1.19163 - 1.49426i) q^{47} +(3.99910 - 0.0849372i) q^{48} +(0.225330 - 6.99637i) q^{49} +(-0.0180714 - 3.40390i) q^{50} +(-0.175450 - 0.139917i) q^{51} +(-4.90510 + 10.4685i) q^{52} +(-2.01447 - 8.82596i) q^{53} +(-0.606831 + 1.27740i) q^{54} +(0.588119 - 0.283223i) q^{55} +(-2.47038 - 7.06380i) q^{56} +(-0.368583 - 0.177500i) q^{57} +(-5.74090 + 4.62829i) q^{58} +(-4.95237 + 2.38494i) q^{59} +(-2.53913 - 1.98115i) q^{60} +(-6.33074 - 1.44495i) q^{61} +(1.45974 + 1.15148i) q^{62} +(2.62401 + 0.338513i) q^{63} +(-5.18459 - 6.09262i) q^{64} +(8.38623 - 4.03860i) q^{65} +(-0.124597 + 0.559574i) q^{66} -11.1359i q^{67} +(0.00476544 + 0.448792i) q^{68} +(-0.361818 - 0.0825826i) q^{69} +(-2.05122 + 5.66525i) q^{70} +(3.45027 - 0.787501i) q^{71} +(2.74714 - 0.673221i) q^{72} +(-9.75985 + 7.78322i) q^{73} +(-8.83427 + 7.12215i) q^{74} +(-0.535599 - 2.34661i) q^{75} +(0.190524 + 0.795700i) q^{76} +(1.06756 - 0.102911i) q^{77} +(-1.77669 + 7.97921i) q^{78} +4.62448i q^{79} +(0.136774 + 6.43972i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(-6.32659 + 3.08821i) q^{82} +(-0.804695 - 1.00906i) q^{83} +(-2.79065 - 4.49580i) q^{84} +(0.225307 - 0.282526i) q^{85} +(2.15118 - 9.66108i) q^{86} +(-3.25110 + 4.07675i) q^{87} +(1.02496 - 0.513861i) q^{88} +(2.38298 - 1.90036i) q^{89} +(-2.05699 - 0.977176i) q^{90} +(15.2227 - 1.46745i) q^{91} +(0.329131 + 0.665283i) q^{92} +(1.18448 + 0.570416i) q^{93} +(-2.63189 + 0.615429i) q^{94} +(0.285827 - 0.593526i) q^{95} +(-4.51476 - 3.40836i) q^{96} +11.4686i q^{97} +(-6.37807 + 7.57101i) q^{98} +0.405369i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9	\( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) \) 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9 + 20 * q^10 - 12 * q^14 + 36 * q^16 + 12 * q^19 - 25 * q^20 + 2 * q^21 - 6 * q^22 - 15 * q^24 + 32 * q^25 + 6 * q^26 - 28 * q^27 - 66 * q^28 - 8 * q^30 - 4 * q^31 + 25 * q^32 - 68 * q^34 - 12 * q^35 - 10 * q^37 + 35 * q^38 + 14 * q^39 + 16 * q^40 + 9 * q^42 + 20 * q^44 - 28 * q^46 - 8 * q^47 + 8 * q^48 - 8 * q^49 + 114 * q^50 + 20 * q^52 - 8 * q^53 - q^56 + 12 * q^57 - 6 * q^58 + 20 * q^59 + 10 * q^60 - 14 * q^61 - 16 * q^62 - 12 * q^63 + 42 * q^64 - 8 * q^65 - 6 * q^66 - 16 * q^68 + 59 * q^70 + 28 * q^71 - 15 * q^72 + 22 * q^74 + 18 * q^75 + 7 * q^76 + 8 * q^77 + 6 * q^78 + 26 * q^80 - 28 * q^81 + 12 * q^82 + 10 * q^83 + 11 * q^84 - 24 * q^85 - 6 * q^86 - 242 * q^88 + 20 * q^90 - 16 * q^91 + 7 * q^92 - 4 * q^93 - 53 * q^94 - 10 * q^96 - 118 * q^98

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