LMFDB - Embedded newform 361.2.e.b.62.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [361,2,Mod(28,361)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(361, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([8]))

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

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

chi := DirichletCharacter("361.28");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 361 = 19^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	361.e (of order $9$, degree $6$, not minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.88259951297$
Analytic rank:	$0$
Dimension:	$6$
Coefficient field:	$\Q(\zeta_{18})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{6} - x^{3} + 1 $ x^6 - x^3 + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	no (minimal twist has level 19)
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			62.1
Root			$-0.173648 + 0.984808i$ of defining polynomial
Character	$\chi$	$=$	361.62
Dual form			361.2.e.b.99.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.26604 + 0.460802i) q^{2} +(0.500000 - 2.83564i) q^{3} +(-0.141559 + 0.118782i) q^{4} +(0.673648 + 0.565258i) q^{5} +(0.673648 + 3.82045i) q^{6} +(-0.173648 - 0.300767i) q^{7} +(1.47178 - 2.54920i) q^{8} +(-4.97178 - 1.80958i) q^{9} +O(q^{10})$	\(q+(-1.26604 + 0.460802i) q^{2} +(0.500000 - 2.83564i) q^{3} +(-0.141559 + 0.118782i) q^{4} +(0.673648 + 0.565258i) q^{5} +(0.673648 + 3.82045i) q^{6} +(-0.173648 - 0.300767i) q^{7} +(1.47178 - 2.54920i) q^{8} +(-4.97178 - 1.80958i) q^{9} +(-1.11334 - 0.405223i) q^{10} +(1.11334 - 1.92836i) q^{11} +(0.266044 + 0.460802i) q^{12} +(-0.446967 - 2.53487i) q^{13} +(0.358441 + 0.300767i) q^{14} +(1.93969 - 1.62760i) q^{15} +(-0.624485 + 3.54163i) q^{16} +(-0.439693 + 0.160035i) q^{17} +7.12836 q^{18} -0.162504 q^{20} +(-0.939693 + 0.342020i) q^{21} +(-0.520945 + 2.95442i) q^{22} +(-2.06418 + 1.73205i) q^{23} +(-6.49273 - 5.44804i) q^{24} +(-0.733956 - 4.16247i) q^{25} +(1.73396 + 3.00330i) q^{26} +(-3.29813 + 5.71253i) q^{27} +(0.0603074 + 0.0219501i) q^{28} +(-6.46451 - 2.35289i) q^{29} +(-1.70574 + 2.95442i) q^{30} +(-3.55303 - 6.15403i) q^{31} +(0.180922 + 1.02606i) q^{32} +(-4.91147 - 4.12122i) q^{33} +(0.482926 - 0.405223i) q^{34} +(0.0530334 - 0.300767i) q^{35} +(0.918748 - 0.334397i) q^{36} -4.94356 q^{37} -7.41147 q^{39} +(2.43242 - 0.885328i) q^{40} +(-0.429892 + 2.43804i) q^{41} +(1.03209 - 0.866025i) q^{42} +(2.98886 + 2.50795i) q^{43} +(0.0714517 + 0.405223i) q^{44} +(-2.32635 - 4.02936i) q^{45} +(1.81521 - 3.14403i) q^{46} +(6.85117 + 2.49362i) q^{47} +(9.73055 + 3.54163i) q^{48} +(3.43969 - 5.95772i) q^{49} +(2.84730 + 4.93166i) q^{50} +(0.233956 + 1.32683i) q^{51} +(0.364370 + 0.305743i) q^{52} +(2.17365 - 1.82391i) q^{53} +(1.54323 - 8.75211i) q^{54} +(1.84002 - 0.669713i) q^{55} -1.02229 q^{56} +9.26857 q^{58} +(-5.92514 + 2.15658i) q^{59} +(-0.0812519 + 0.460802i) q^{60} +(6.99273 - 5.86759i) q^{61} +(7.33409 + 6.15403i) q^{62} +(0.319078 + 1.80958i) q^{63} +(-4.29813 - 7.44459i) q^{64} +(1.13176 - 1.96026i) q^{65} +(8.11721 + 2.95442i) q^{66} +(7.21213 + 2.62500i) q^{67} +(0.0432332 - 0.0748822i) q^{68} +(3.87939 + 6.71929i) q^{69} +(0.0714517 + 0.405223i) q^{70} +(7.12836 + 5.98140i) q^{71} +(-11.9304 + 10.0108i) q^{72} +(0.241230 - 1.36808i) q^{73} +(6.25877 - 2.27801i) q^{74} -12.1702 q^{75} -0.773318 q^{77} +(9.38326 - 3.41523i) q^{78} +(2.05690 - 11.6653i) q^{79} +(-2.42262 + 2.03282i) q^{80} +(2.39053 + 2.00589i) q^{81} +(-0.579193 - 3.28476i) q^{82} +(7.41534 + 12.8438i) q^{83} +(0.0923963 - 0.160035i) q^{84} +(-0.386659 - 0.140732i) q^{85} +(-4.93969 - 1.79790i) q^{86} +(-9.90420 + 17.1546i) q^{87} +(-3.27719 - 5.67626i) q^{88} +(1.78699 + 10.1345i) q^{89} +(4.80200 + 4.02936i) q^{90} +(-0.684793 + 0.574609i) q^{91} +(0.0864665 - 0.490376i) q^{92} +(-19.2271 + 6.99811i) q^{93} -9.82295 q^{94} +3.00000 q^{96} +(8.88326 - 3.23324i) q^{97} +(-1.60947 + 9.12776i) q^{98} +(-9.02481 + 7.57272i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 6 q - 3 q^{2} + 3 q^{3} - 9 q^{4} + 3 q^{5} + 3 q^{6} - 6 q^{8} - 15 q^{9}+O(q^{10}) $ 6 * q - 3 * q^2 + 3 * q^3 - 9 * q^4 + 3 * q^5 + 3 * q^6 - 6 * q^8 - 15 * q^9	$ 6 q - 3 q^{2} + 3 q^{3} - 9 q^{4} + 3 q^{5} + 3 q^{6} - 6 q^{8} - 15 q^{9} - 3 q^{12} - 15 q^{13} - 6 q^{14} + 6 q^{15} + 9 q^{16} + 3 q^{17} + 6 q^{18} - 6 q^{20} + 6 q^{23} - 21 q^{24} - 9 q^{25} + 15 q^{26} - 6 q^{27} + 6 q^{28} - 6 q^{29} - 9 q^{31} + 18 q^{32} - 9 q^{33} - 18 q^{34} - 12 q^{35} + 3 q^{36} - 24 q^{39} - 9 q^{40} + 6 q^{41} - 3 q^{42} + 24 q^{43} - 15 q^{45} + 18 q^{46} + 15 q^{47} + 21 q^{48} + 15 q^{49} + 15 q^{50} + 6 q^{51} + 21 q^{52} + 12 q^{53} - 6 q^{54} - 9 q^{55} + 6 q^{56} + 36 q^{58} + 6 q^{59} - 3 q^{60} + 24 q^{61} - 3 q^{62} - 15 q^{63} - 12 q^{64} + 12 q^{65} + 18 q^{66} - 6 q^{67} - 15 q^{68} + 12 q^{69} + 6 q^{71} + 3 q^{72} + 24 q^{73} + 15 q^{74} - 30 q^{75} - 18 q^{77} + 21 q^{78} - 24 q^{79} + 12 q^{80} - 3 q^{81} + 45 q^{82} - 3 q^{84} - 9 q^{85} - 24 q^{86} - 21 q^{87} - 9 q^{88} + 3 q^{89} - 9 q^{90} + 3 q^{91} - 30 q^{92} - 36 q^{93} - 18 q^{94} + 18 q^{96} + 18 q^{97} - 27 q^{98} - 27 q^{99}+O(q^{100}) $ 6 * q - 3 * q^2 + 3 * q^3 - 9 * q^4 + 3 * q^5 + 3 * q^6 - 6 * q^8 - 15 * q^9 - 3 * q^12 - 15 * q^13 - 6 * q^14 + 6 * q^15 + 9 * q^16 + 3 * q^17 + 6 * q^18 - 6 * q^20 + 6 * q^23 - 21 * q^24 - 9 * q^25 + 15 * q^26 - 6 * q^27 + 6 * q^28 - 6 * q^29 - 9 * q^31 + 18 * q^32 - 9 * q^33 - 18 * q^34 - 12 * q^35 + 3 * q^36 - 24 * q^39 - 9 * q^40 + 6 * q^41 - 3 * q^42 + 24 * q^43 - 15 * q^45 + 18 * q^46 + 15 * q^47 + 21 * q^48 + 15 * q^49 + 15 * q^50 + 6 * q^51 + 21 * q^52 + 12 * q^53 - 6 * q^54 - 9 * q^55 + 6 * q^56 + 36 * q^58 + 6 * q^59 - 3 * q^60 + 24 * q^61 - 3 * q^62 - 15 * q^63 - 12 * q^64 + 12 * q^65 + 18 * q^66 - 6 * q^67 - 15 * q^68 + 12 * q^69 + 6 * q^71 + 3 * q^72 + 24 * q^73 + 15 * q^74 - 30 * q^75 - 18 * q^77 + 21 * q^78 - 24 * q^79 + 12 * q^80 - 3 * q^81 + 45 * q^82 - 3 * q^84 - 9 * q^85 - 24 * q^86 - 21 * q^87 - 9 * q^88 + 3 * q^89 - 9 * q^90 + 3 * q^91 - 30 * q^92 - 36 * q^93 - 18 * q^94 + 18 * q^96 + 18 * q^97 - 27 * q^98 - 27 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/361\mathbb{Z}\right)^\times$.

$n$	$2$
$\chi(n)$	$e\left(\frac{8}{9}\right)$

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 $

$2$	−1.26604	+	0.460802i	−0.895229	+	0.325837i	−0.748339	−	0.663316i	$-0.769148\pi$
$2$	−1.26604	+	0.460802i	−0.895229	+	0.325837i	−0.146889	+	0.989153i	$0.546926\pi$
$3$	0.500000	−	2.83564i	0.288675	−	1.63716i	−0.403179	−	0.915121i	$-0.632095\pi$
$3$	0.500000	−	2.83564i	0.288675	−	1.63716i	0.691854	−	0.722037i	$-0.256794\pi$
$4$	−0.141559	+	0.118782i	−0.0707796	+	0.0593912i
$5$	0.673648	+	0.565258i	0.301265	+	0.252791i	0.780870	−	0.624693i	$-0.214776\pi$
$5$	0.673648	+	0.565258i	0.301265	+	0.252791i	−0.479606	+	0.877484i	$0.659220\pi$
$6$	0.673648	+	3.82045i	0.275016	+	1.55969i
$7$	−0.173648	−	0.300767i	−0.0656328	−	0.113679i	0.831342	−	0.555762i	$-0.187573\pi$
$7$	−0.173648	−	0.300767i	−0.0656328	−	0.113679i	−0.896975	+	0.442082i	$0.854240\pi$
$8$	1.47178	−	2.54920i	0.520353	−	0.901278i
$9$	−4.97178	−	1.80958i	−1.65726	−	0.603193i
$10$	−1.11334	−	0.405223i	−0.352069	−	0.128143i
$11$	1.11334	−	1.92836i	0.335685	−	0.581423i	−0.647931	−	0.761699i	$-0.724366\pi$
$11$	1.11334	−	1.92836i	0.335685	−	0.581423i	0.983616	+	0.180276i	$0.0576989\pi$
$12$	0.266044	+	0.460802i	0.0768004	+	0.133022i
$13$	−0.446967	−	2.53487i	−0.123966	−	0.703047i	−0.981916	−	0.189315i	$-0.939373\pi$
$13$	−0.446967	−	2.53487i	−0.123966	−	0.703047i	0.857950	−	0.513733i	$-0.171738\pi$
$14$	0.358441	+	0.300767i	0.0957973	+	0.0803835i
$15$	1.93969	−	1.62760i	0.500826	−	0.420243i
$16$	−0.624485	+	3.54163i	−0.156121	+	0.885408i
$17$	−0.439693	+	0.160035i	−0.106641	+	0.0388142i	−0.394790	−	0.918772i	$-0.629183\pi$
$17$	−0.439693	+	0.160035i	−0.106641	+	0.0388142i	0.288149	+	0.957586i	$0.406960\pi$
$18$	7.12836			1.68017
$19$		0			0
$19$		0			0
$20$	−0.162504			−0.0363370
$21$	−0.939693	+	0.342020i	−0.205058	+	0.0746349i
$22$	−0.520945	+	2.95442i	−0.111066	+	0.629885i
$23$	−2.06418	+	1.73205i	−0.430411	+	0.361158i	−0.832107	−	0.554616i	$-0.812865\pi$
$23$	−2.06418	+	1.73205i	−0.430411	+	0.361158i	0.401696	+	0.915773i	$0.368421\pi$
$24$	−6.49273	−	5.44804i	−1.32532	−	1.11208i
$25$	−0.733956	−	4.16247i	−0.146791	−	0.832494i
$26$	1.73396	+	3.00330i	0.340057	+	0.588995i
$27$	−3.29813	+	5.71253i	−0.634726	+	1.09938i
$28$	0.0603074	+	0.0219501i	0.0113970	+	0.00414818i
$29$	−6.46451	−	2.35289i	−1.20043	−	0.436920i	−0.337055	−	0.941485i	$-0.609431\pi$
$29$	−6.46451	−	2.35289i	−1.20043	−	0.436920i	−0.863374	+	0.504565i	$0.831653\pi$
$30$	−1.70574	+	2.95442i	−0.311424	+	0.539401i
$31$	−3.55303	−	6.15403i	−0.638144	−	1.10530i	−0.985840	−	0.167690i	$-0.946369\pi$
$31$	−3.55303	−	6.15403i	−0.638144	−	1.10530i	0.347696	−	0.937607i	$-0.386964\pi$
$32$	0.180922	+	1.02606i	0.0319828	+	0.181384i
$33$	−4.91147	−	4.12122i	−0.854978	−	0.717412i
$34$	0.482926	−	0.405223i	0.0828211	−	0.0694952i
$35$	0.0530334	−	0.300767i	0.00896428	−	0.0508390i
$36$	0.918748	−	0.334397i	0.153125	−	0.0557328i
$37$	−4.94356			−0.812717			−0.406358	−	0.913714i	$-0.633202\pi$
$37$	−4.94356			−0.812717			−0.406358	+	0.913714i	$0.633202\pi$
$38$		0			0
$39$	−7.41147			−1.18679
$40$	2.43242	−	0.885328i	0.384599	−	0.139983i
$41$	−0.429892	+	2.43804i	−0.0671379	+	0.380758i	0.932662	+	0.360752i	$0.117480\pi$
$41$	−0.429892	+	2.43804i	−0.0671379	+	0.380758i	−0.999800	+	0.0200065i	$0.993631\pi$
$42$	1.03209	−	0.866025i	0.159255	−	0.133631i
$43$	2.98886	+	2.50795i	0.455796	+	0.382458i	0.841581	−	0.540130i	$-0.181625\pi$
$43$	2.98886	+	2.50795i	0.455796	+	0.382458i	−0.385785	+	0.922589i	$0.626069\pi$
$44$	0.0714517	+	0.405223i	0.0107718	+	0.0610897i
$45$	−2.32635	−	4.02936i	−0.346792	−	0.600661i
$46$	1.81521	−	3.14403i	0.267638	−	0.463562i
$47$	6.85117	+	2.49362i	0.999345	+	0.363732i	0.789332	−	0.613967i	$-0.210427\pi$
$47$	6.85117	+	2.49362i	0.999345	+	0.363732i	0.210013	+	0.977699i	$0.432649\pi$
$48$	9.73055	+	3.54163i	1.40448	+	0.511190i
$49$	3.43969	−	5.95772i	0.491385	−	0.851103i
$50$	2.84730	+	4.93166i	0.402669	+	0.697442i
$51$	0.233956	+	1.32683i	0.0327603	+	0.185793i
$52$	0.364370	+	0.305743i	0.0505291	+	0.0423989i
$53$	2.17365	−	1.82391i	0.298574	−	0.250533i	−0.481177	−	0.876624i	$-0.659790\pi$
$53$	2.17365	−	1.82391i	0.298574	−	0.250533i	0.779750	+	0.626091i	$0.215346\pi$
$54$	1.54323	−	8.75211i	0.210007	−	1.19101i
$55$	1.84002	−	0.669713i	0.248109	−	0.0903041i
$56$	−1.02229			−0.136609
$57$		0			0
$58$	9.26857			1.21702
$59$	−5.92514	+	2.15658i	−0.771388	+	0.280762i	−0.697577	−	0.716510i	$-0.745738\pi$
$59$	−5.92514	+	2.15658i	−0.771388	+	0.280762i	−0.0738112	+	0.997272i	$0.523516\pi$
$60$	−0.0812519	+	0.460802i	−0.0104896	+	0.0594893i
$61$	6.99273	−	5.86759i	0.895327	−	0.751268i	−0.0739445	−	0.997262i	$-0.523559\pi$
$61$	6.99273	−	5.86759i	0.895327	−	0.751268i	0.969271	+	0.245994i	$0.0791143\pi$
$62$	7.33409	+	6.15403i	0.931431	+	0.781563i
$63$	0.319078	+	1.80958i	0.0402000	+	0.227986i
$64$	−4.29813	−	7.44459i	−0.537267	−	0.930573i
$65$	1.13176	−	1.96026i	0.140377	−	0.243141i
$66$	8.11721	+	2.95442i	0.999160	+	0.363664i
$67$	7.21213	+	2.62500i	0.881102	+	0.320695i	0.742655	−	0.669675i	$-0.233566\pi$
$67$	7.21213	+	2.62500i	0.881102	+	0.320695i	0.138448	+	0.990370i	$0.455789\pi$
$68$	0.0432332	−	0.0748822i	0.00524280	−	0.00908080i
$69$	3.87939	+	6.71929i	0.467023	+	0.808908i
$70$	0.0714517	+	0.405223i	0.00854012	+	0.0484334i
$71$	7.12836	+	5.98140i	0.845980	+	0.709862i	0.958901	−	0.283742i	$-0.0915761\pi$
$71$	7.12836	+	5.98140i	0.845980	+	0.709862i	−0.112920	+	0.993604i	$0.536021\pi$
$72$	−11.9304	+	10.0108i	−1.40601	+	1.17978i
$73$	0.241230	−	1.36808i	0.0282338	−	0.160122i	−0.967431	−	0.253134i	$-0.918539\pi$
$73$	0.241230	−	1.36808i	0.0282338	−	0.160122i	0.995665	+	0.0930125i	$0.0296497\pi$
$74$	6.25877	−	2.27801i	0.727567	−	0.264813i
$75$	−12.1702			−1.40530
$76$		0			0
$77$	−0.773318			−0.0881278
$78$	9.38326	−	3.41523i	1.06244	−	0.386698i
$79$	2.05690	−	11.6653i	0.231420	−	1.31245i	−0.618604	−	0.785703i	$-0.712302\pi$
$79$	2.05690	−	11.6653i	0.231420	−	1.31245i	0.850024	−	0.526744i	$-0.176587\pi$
$80$	−2.42262	+	2.03282i	−0.270857	+	0.227276i
$81$	2.39053	+	2.00589i	0.265614	+	0.222877i
$82$	−0.579193	−	3.28476i	−0.0639611	−	0.362742i
$83$	7.41534	+	12.8438i	0.813940	+	1.40979i	0.910087	+	0.414418i	$0.136015\pi$
$83$	7.41534	+	12.8438i	0.813940	+	1.40979i	−0.0961469	+	0.995367i	$0.530652\pi$
$84$	0.0923963	−	0.160035i	0.0100813	−	0.0174613i
$85$	−0.386659	−	0.140732i	−0.0419391	−	0.0152646i
$86$	−4.93969	−	1.79790i	−0.532661	−	0.193873i
$87$	−9.90420	+	17.1546i	−1.06184	+	1.83916i
$88$	−3.27719	−	5.67626i	−0.349349	−	0.605091i
$89$	1.78699	+	10.1345i	0.189420	+	1.07426i	0.920143	+	0.391582i	$0.128072\pi$
$89$	1.78699	+	10.1345i	0.189420	+	1.07426i	−0.730723	+	0.682674i	$0.760817\pi$
$90$	4.80200	+	4.02936i	0.506176	+	0.424732i
$91$	−0.684793	+	0.574609i	−0.0717858	+	0.0602354i
$92$	0.0864665	−	0.490376i	0.00901475	−	0.0511252i
$93$	−19.2271	+	6.99811i	−1.99376	+	0.725670i
$94$	−9.82295			−1.01316
$95$		0			0
$96$	3.00000			0.306186
$97$	8.88326	−	3.23324i	0.901958	−	0.328286i	0.150921	−	0.988546i	$-0.451776\pi$
$97$	8.88326	−	3.23324i	0.901958	−	0.328286i	0.751037	+	0.660260i	$0.229554\pi$
$98$	−1.60947	+	9.12776i	−0.162581	+	0.922043i
$99$	−9.02481	+	7.57272i	−0.907028	+	0.761087i
$100$	0.598326	+	0.502055i	0.0598326	+	0.0502055i
$101$	−1.60607	−	9.10846i	−0.159810	−	0.906325i	−0.954256	−	0.298991i	$-0.903350\pi$
$101$	−1.60607	−	9.10846i	−0.159810	−	0.906325i	0.794446	−	0.607334i	$-0.207761\pi$
$102$	−0.907604	−	1.57202i	−0.0898662	−	0.155653i
$103$	−2.75490	+	4.77163i	−0.271448	+	0.470162i	−0.969233	−	0.246145i	$-0.920836\pi$
$103$	−2.75490	+	4.77163i	−0.271448	+	0.470162i	0.697785	+	0.716308i	$0.254169\pi$
$104$	−7.11974	−	2.59137i	−0.698148	−	0.254105i
$105$	−0.826352	−	0.300767i	−0.0806437	−	0.0293519i
$106$	−1.91147	+	3.31077i	−0.185659	+	0.321570i
$107$	5.11721	+	8.86327i	0.494699	+	0.856845i	0.999981	−	0.00610974i	$-0.00194480\pi$
$107$	5.11721	+	8.86327i	0.494699	+	0.856845i	−0.505282	+	0.862954i	$0.668611\pi$
$108$	−0.211667	−	1.20042i	−0.0203677	−	0.115511i
$109$	1.39646	+	1.17177i	0.133757	+	0.112235i	0.707212	−	0.707002i	$-0.249953\pi$
$109$	1.39646	+	1.17177i	0.133757	+	0.112235i	−0.573455	+	0.819237i	$0.694397\pi$
$110$	−2.02094	+	1.69577i	−0.192690	+	0.161686i
$111$	−2.47178	+	14.0182i	−0.234611	+	1.33055i
$112$	1.17365	−	0.427173i	0.110899	−	0.0403641i
$113$	17.6878			1.66393			0.831963	−	0.554830i	$-0.187217\pi$
$113$	17.6878			1.66393			0.831963	+	0.554830i	$0.187217\pi$
$114$		0			0
$115$	−2.36959			−0.220965
$116$	1.19459	−	0.434796i	0.110915	−	0.0403698i
$117$	−2.36484	+	13.4117i	−0.218629	+	1.23991i
$118$	6.50774	−	5.46064i	0.599086	−	0.502693i
$119$	0.124485	+	0.104455i	0.0114115	+	0.00957541i
$120$	−1.29426	−	7.34013i	−0.118150	−	0.670059i
$121$	3.02094	+	5.23243i	0.274631	+	0.475675i
$122$	−6.14930	+	10.6509i	−0.556731	+	0.964287i
$123$	6.69846	+	2.43804i	0.603980	+	0.219831i
$124$	1.23396	+	0.449123i	0.110812	+	0.0403324i
$125$	4.05690	−	7.02676i	0.362861	−	0.628493i
$126$	−1.23783	−	2.14398i	−0.110274	−	0.191001i
$127$	−2.01501	−	11.4277i	−0.178804	−	1.01405i	−0.933661	−	0.358157i	$-0.883405\pi$
$127$	−2.01501	−	11.4277i	−0.178804	−	1.01405i	0.754858	−	0.655889i	$-0.227706\pi$
$128$	7.27584	+	6.10516i	0.643100	+	0.539625i
$129$	8.60607	−	7.22135i	0.757722	−	0.635804i
$130$	−0.529563	+	3.00330i	−0.0464457	+	0.263407i
$131$	−1.73396	+	0.631108i	−0.151496	+	0.0551402i	−0.416655	−	0.909065i	$-0.636798\pi$
$131$	−1.73396	+	0.631108i	−0.151496	+	0.0551402i	0.265159	+	0.964205i	$0.414576\pi$
$132$	1.18479			0.103123
$133$		0			0
$134$	−10.3405			−0.893282
$135$	−5.45084	+	1.98394i	−0.469133	+	0.170751i
$136$	−0.239170	+	1.35640i	−0.0205087	+	0.116310i
$137$	0.195937	−	0.164411i	0.0167400	−	0.0140465i	−0.634379	−	0.773022i	$-0.718744\pi$
$137$	0.195937	−	0.164411i	0.0167400	−	0.0140465i	0.651119	+	0.758975i	$0.274300\pi$
$138$	−8.00774	−	6.71929i	−0.681664	−	0.571984i
$139$	0.740352	+	4.19875i	0.0627959	+	0.356133i	0.999973	+	0.00728048i	$0.00231747\pi$
$139$	0.740352	+	4.19875i	0.0627959	+	0.356133i	−0.937178	+	0.348852i	$0.886571\pi$
$140$	0.0282185	+	0.0488759i	0.00238490	+	0.00413076i
$141$	10.4966	−	18.1806i	0.883973	−	1.53109i
$142$	−11.7811	−	4.28795i	−0.988645	−	0.359837i
$143$	−5.38578	−	1.96026i	−0.450382	−	0.163926i
$144$	9.51367	−	16.4782i	0.792806	−	1.37318i
$145$	−3.02481	−	5.23913i	−0.251197	−	0.435086i
$146$	0.325008	+	1.84321i	0.0268978	+	0.152545i
$147$	−15.1741	−	12.7326i	−1.25154	−	1.05017i
$148$	0.699807	−	0.587208i	0.0575238	−	0.0482682i
$149$	2.87551	−	16.3079i	0.235571	−	1.33599i	−0.605836	−	0.795590i	$-0.707161\pi$
$149$	2.87551	−	16.3079i	0.235571	−	1.33599i	0.841407	−	0.540402i	$-0.181728\pi$
$150$	15.4081	−	5.60808i	1.25806	−	0.457898i
$151$	4.36184			0.354962			0.177481	−	0.984124i	$-0.443205\pi$
$151$	4.36184			0.354962			0.177481	+	0.984124i	$0.443205\pi$
$152$		0			0
$153$	2.47565			0.200145
$154$	0.979055	−	0.356347i	0.0788945	−	0.0287153i
$155$	1.08512	−	6.15403i	0.0871591	−	0.494304i
$156$	1.04916	−	0.880352i	0.0840003	−	0.0704846i
$157$	−7.36824	−	6.18269i	−0.588050	−	0.493432i	0.299530	−	0.954087i	$-0.403170\pi$
$157$	−7.36824	−	6.18269i	−0.588050	−	0.493432i	−0.887579	+	0.460655i	$0.847615\pi$
$158$	2.77126	+	15.7166i	0.220470	+	1.25034i
$159$	−4.08512	−	7.07564i	−0.323971	−	0.561135i
$160$	−0.458111	+	0.793471i	−0.0362168	+	0.0627294i
$161$	0.879385	+	0.320070i	0.0693053	+	0.0252251i
$162$	−3.95084	−	1.43799i	−0.310407	−	0.112979i
$163$	−4.17752	+	7.23567i	−0.327209	+	0.566742i	−0.981957	−	0.189105i	$-0.939441\pi$
$163$	−4.17752	+	7.23567i	−0.327209	+	0.566742i	0.654748	+	0.755847i	$0.272775\pi$
$164$	−0.228741	−	0.396191i	−0.0178617	−	0.0309373i
$165$	−0.979055	−	5.55250i	−0.0762194	−	0.432261i
$166$	−15.3066	−	12.8438i	−1.18802	−	0.996869i
$167$	−3.09105	+	2.59370i	−0.239193	+	0.200707i	−0.754502	−	0.656298i	$-0.772122\pi$
$167$	−3.09105	+	2.59370i	−0.239193	+	0.200707i	0.515309	+	0.857004i	$0.327677\pi$
$168$	−0.511144	+	2.89884i	−0.0394356	+	0.223651i
$169$	5.99020	−	2.18025i	0.460785	−	0.167712i
$170$	0.554378			0.0425188
$171$		0			0
$172$	−0.721000			−0.0549758
$173$	−18.9290	+	6.88960i	−1.43915	+	0.523806i	−0.939538	−	0.342445i	$-0.888745\pi$
$173$	−18.9290	+	6.88960i	−1.43915	+	0.523806i	−0.499608	+	0.866251i	$0.666523\pi$
$174$	4.63429	−	26.2823i	0.351324	−	1.99246i
$175$	−1.12449	+	0.943555i	−0.0850031	+	0.0713261i
$176$	6.13429	+	5.14728i	0.462389	+	0.387991i
$177$	3.15270	+	17.8799i	0.236972	+	1.34393i
$178$	−6.93242	−	12.0073i	−0.519607	−	0.899985i
$179$	−5.75624	+	9.97011i	−0.430242	+	0.745201i	−0.996894	−	0.0787564i	$-0.974905\pi$
$179$	−5.75624	+	9.97011i	−0.430242	+	0.745201i	0.566652	+	0.823957i	$0.308238\pi$
$180$	0.807934	+	0.294064i	0.0602198	+	0.0219182i
$181$	8.02229	+	2.91987i	0.596292	+	0.217033i	0.622495	−	0.782624i	$-0.286119\pi$
$181$	8.02229	+	2.91987i	0.596292	+	0.217033i	−0.0262026	+	0.999657i	$0.508341\pi$
$182$	0.602196	−	1.04303i	0.0446378	−	0.0773149i
$183$	−13.1420	−	22.7627i	−0.971487	−	1.68266i
$184$	1.37733	+	7.81120i	0.101538	+	0.575850i
$185$	−3.33022	−	2.79439i	−0.244843	−	0.205448i
$186$	21.1177	−	17.7198i	1.54842	−	1.29928i
$187$	−0.180922	+	1.02606i	−0.0132303	+	0.0750330i
$188$	−1.26604	+	0.460802i	−0.0923358	+	0.0336075i
$189$	2.29086			0.166635
$190$		0			0
$191$	18.3354			1.32671			0.663353	−	0.748307i	$-0.269133\pi$
$191$	18.3354			1.32671			0.663353	+	0.748307i	$0.269133\pi$
$192$	−23.2592	+	8.46567i	−1.67859	+	0.610957i
$193$	−0.0516892	+	0.293144i	−0.00372067	+	0.0211010i	−0.986612	−	0.163088i	$-0.947855\pi$
$193$	−0.0516892	+	0.293144i	−0.00372067	+	0.0211010i	0.982891	+	0.184189i	$0.0589658\pi$
$194$	−9.75671	+	8.18685i	−0.700491	+	0.587782i
$195$	−4.99273	−	4.18939i	−0.357537	−	0.300009i
$196$	0.220752	+	1.25195i	0.0157680	+	0.0894247i
$197$	−6.57057	−	11.3806i	−0.468134	−	0.810832i	0.531203	−	0.847245i	$-0.321740\pi$
$197$	−6.57057	−	11.3806i	−0.468134	−	0.810832i	−0.999337	+	0.0364128i	$0.988407\pi$
$198$	7.93629	−	13.7461i	0.564008	−	0.976890i
$199$	0.241230	+	0.0878004i	0.0171003	+	0.00622400i	0.350556	−	0.936542i	$-0.385993\pi$
$199$	0.241230	+	0.0878004i	0.0171003	+	0.00622400i	−0.333456	+	0.942766i	$0.608215\pi$
$200$	−11.6912	−	4.25524i	−0.826692	−	0.300891i
$201$	11.0496	−	19.1385i	0.779381	−	1.34993i
$202$	6.23055	+	10.7916i	0.438380	+	0.759297i
$203$	0.414878	+	2.35289i	0.0291187	+	0.165140i
$204$	−0.190722	−	0.160035i	−0.0133532	−	0.0112047i
$205$	−1.66772	+	1.39938i	−0.116479	+	0.0977371i
$206$	1.28905	−	7.31056i	0.0898123	−	0.509351i
$207$	13.3969	−	4.87608i	0.931151	−	0.338911i
$208$	9.25671			0.641837
$209$		0			0
$210$	1.18479			0.0817585
$211$	2.30066	−	0.837372i	0.158384	−	0.0576470i	−0.261611	−	0.965173i	$-0.584254\pi$
$211$	2.30066	−	0.837372i	0.158384	−	0.0576470i	0.419995	+	0.907526i	$0.362032\pi$
$212$	−0.0910521	+	0.516382i	−0.00625348	+	0.0354653i
$213$	20.5253	−	17.2228i	1.40637	−	1.18008i
$214$	−10.5628	−	8.86327i	−0.722060	−	0.605881i
$215$	0.595800	+	3.37895i	0.0406332	+	0.230442i
$216$	9.70826	+	16.8152i	0.660564	+	1.14413i
$217$	−1.23396	+	2.13727i	−0.0837664	+	0.145088i
$218$	−2.30793	−	0.840019i	−0.156313	−	0.0568933i
$219$	−3.75877	−	1.36808i	−0.253994	−	0.0924463i
$220$	−0.180922	+	0.313366i	−0.0121978	+	0.0211272i
$221$	0.602196	+	1.04303i	0.0405081	+	0.0701621i
$222$	−3.33022	−	18.8866i	−0.223510	−	1.26759i
$223$	6.51889	+	5.46999i	0.436537	+	0.366298i	0.834412	−	0.551142i	$-0.185808\pi$
$223$	6.51889	+	5.46999i	0.436537	+	0.366298i	−0.397875	+	0.917440i	$0.630252\pi$
$224$	0.277189	−	0.232589i	0.0185205	−	0.0155405i
$225$	−3.88326	+	22.0230i	−0.258884	+	1.46820i
$226$	−22.3935	+	8.15058i	−1.48959	+	0.542168i
$227$	14.1506			0.939211			0.469606	−	0.882876i	$-0.344396\pi$
$227$	14.1506			0.939211			0.469606	+	0.882876i	$0.344396\pi$
$228$		0			0
$229$	−20.5330			−1.35686			−0.678430	−	0.734665i	$-0.737339\pi$
$229$	−20.5330			−1.35686			−0.678430	+	0.734665i	$0.737339\pi$
$230$	3.00000	−	1.09191i	0.197814	−	0.0719985i
$231$	−0.386659	+	2.19285i	−0.0254403	+	0.144279i
$232$	−15.5123	+	13.0164i	−1.01843	+	0.854568i
$233$	13.5214	+	11.3458i	0.885817	+	0.743289i	0.967367	−	0.253380i	$-0.0815425\pi$
$233$	13.5214	+	11.3458i	0.885817	+	0.743289i	−0.0815496	+	0.996669i	$0.525987\pi$
$234$	−3.18614	−	18.0695i	−0.208284	−	1.18124i
$235$	3.20574	+	5.55250i	0.209119	+	0.362205i
$236$	0.582596	−	1.00909i	0.0379238	−	0.0656859i
$237$	−32.0501	−	11.6653i	−2.08188	−	0.757741i
$238$	−0.205737	−	0.0748822i	−0.0133360	−	0.00485389i
$239$	−1.17617	+	2.03719i	−0.0760804	+	0.131775i	−0.901556	−	0.432663i	$-0.857574\pi$
$239$	−1.17617	+	2.03719i	−0.0760804	+	0.131775i	0.825475	+	0.564438i	$0.190907\pi$
$240$	4.55303	+	7.88609i	0.293897	+	0.509045i
$241$	−2.39646	−	13.5910i	−0.154370	−	0.875473i	−0.959360	−	0.282185i	$-0.908941\pi$
$241$	−2.39646	−	13.5910i	−0.154370	−	0.875473i	0.804990	−	0.593288i	$-0.202170\pi$
$242$	−6.23577	−	5.23243i	−0.400850	−	0.336353i
$243$	−8.27584	+	6.94426i	−0.530896	+	0.445474i
$244$	−0.292919	+	1.66122i	−0.0187522	+	0.106349i
$245$	5.68479	−	2.06910i	0.363188	−	0.132190i
$246$	−9.60401			−0.612329
$247$		0			0
$248$	−20.9172			−1.32824
$249$	40.1279	−	14.6054i	2.54301	−	0.925578i
$250$	−1.89827	+	10.7656i	−0.120057	+	0.680878i
$251$	−3.19072	+	2.67733i	−0.201397	+	0.168992i	−0.737908	−	0.674901i	$-0.764186\pi$
$251$	−3.19072	+	2.67733i	−0.201397	+	0.168992i	0.536512	+	0.843893i	$0.319742\pi$
$252$	−0.260115	−	0.218262i	−0.0163857	−	0.0137492i
$253$	1.04189	+	5.90885i	0.0655030	+	0.371486i
$254$	7.81702	+	13.5395i	0.490483	+	0.849542i
$255$	−0.592396	+	1.02606i	−0.0370973	+	0.0642544i
$256$	4.13088	+	1.50352i	0.258180	+	0.0939699i
$257$	0.627011	+	0.228213i	0.0391119	+	0.0142356i	0.361502	−	0.932371i	$-0.382264\pi$
$257$	0.627011	+	0.228213i	0.0391119	+	0.0142356i	−0.322390	+	0.946607i	$0.604486\pi$
$258$	−7.56805	+	13.1082i	−0.471166	+	0.816084i
$259$	0.858441	+	1.48686i	0.0533409	+	0.0923892i
$260$	0.0726338	+	0.411927i	0.00450456	+	0.0255466i
$261$	27.8824	+	23.3961i	1.72588	+	1.44818i
$262$	1.90445	−	1.59802i	0.117657	−	0.0987261i
$263$	1.97952	−	11.2264i	0.122063	−	0.692251i	−0.860947	−	0.508695i	$-0.830128\pi$
$263$	1.97952	−	11.2264i	0.122063	−	0.692251i	0.983009	−	0.183556i	$-0.0587609\pi$
$264$	−17.7344	+	6.45480i	−1.09148	+	0.397266i
$265$	2.49525			0.153282
$266$		0			0
$267$	29.6313			1.81341
$268$	−1.33275	+	0.485081i	−0.0814106	+	0.0296310i
$269$	−3.36706	+	19.0955i	−0.205293	+	1.16428i	0.691684	+	0.722200i	$0.256869\pi$
$269$	−3.36706	+	19.0955i	−0.205293	+	1.16428i	−0.896978	+	0.442076i	$0.854242\pi$
$270$	5.98680	−	5.02352i	0.364345	−	0.305722i
$271$	−10.2606	−	8.60965i	−0.623286	−	0.522999i	0.275549	−	0.961287i	$-0.411141\pi$
$271$	−10.2606	−	8.60965i	−0.623286	−	0.522999i	−0.898835	+	0.438288i	$0.855585\pi$
$272$	−0.292204	−	1.65717i	−0.0177174	−	0.100481i
$273$	1.28699	+	2.22913i	0.0778921	+	0.134913i
$274$	−0.172304	+	0.298439i	−0.0104093	+	0.0180294i
$275$	−8.84389	−	3.21891i	−0.533307	−	0.194108i
$276$	−1.34730	−	0.490376i	−0.0810977	−	0.0295172i
$277$	−8.87346	+	15.3693i	−0.533154	+	0.923450i	0.466096	+	0.884734i	$0.345660\pi$
$277$	−8.87346	+	15.3693i	−0.533154	+	0.923450i	−0.999250	+	0.0387161i	$0.987673\pi$
$278$	−2.87211	−	4.97464i	−0.172258	−	0.298359i
$279$	6.52869	+	37.0260i	0.390862	+	2.21669i
$280$	−0.688663	−	0.577857i	−0.0411555	−	0.0345335i
$281$	−14.0025	+	11.7495i	−0.835321	+	0.700917i	−0.956506	−	0.291713i	$-0.905775\pi$
$281$	−14.0025	+	11.7495i	−0.835321	+	0.700917i	0.121185	+	0.992630i	$0.461330\pi$
$282$	−4.91147	+	27.8544i	−0.292474	+	1.65870i
$283$	−7.22416	+	2.62938i	−0.429431	+	0.156300i	−0.547688	−	0.836683i	$-0.684492\pi$
$283$	−7.22416	+	2.62938i	−0.429431	+	0.156300i	0.118256	+	0.992983i	$0.462270\pi$
$284$	−1.71957			−0.102038
$285$		0			0
$286$	7.72193			0.456608
$287$	0.807934	−	0.294064i	0.0476908	−	0.0173580i
$288$	0.957234	−	5.42874i	0.0564055	−	0.319892i
$289$	−12.8550	+	10.7867i	−0.756179	+	0.634509i
$290$	6.24376	+	5.23913i	0.366646	+	0.307652i
$291$	−4.72668	−	26.8063i	−0.277083	−	1.57142i
$292$	0.128356	+	0.222318i	0.00751144	+	0.0130102i
$293$	−5.25150	+	9.09586i	−0.306796	+	0.531386i	−0.977660	−	0.210195i	$-0.932590\pi$
$293$	−5.25150	+	9.09586i	−0.306796	+	0.531386i	0.670864	+	0.741581i	$0.265924\pi$
$294$	25.0783	+	9.12776i	1.46260	+	0.532342i
$295$	−5.21048	−	1.89646i	−0.303366	−	0.110416i
$296$	−7.27584	+	12.6021i	−0.422900	+	0.732484i
$297$	7.34389	+	12.7200i	0.426136	+	0.738089i
$298$	3.87417	+	21.9715i	0.224425	+	1.27278i
$299$	5.31315	+	4.45826i	0.307267	+	0.257828i
$300$	1.72281	−	1.44561i	0.0994666	−	0.0834623i
$301$	0.235300	−	1.33445i	0.0135625	−	0.0769165i
$302$	−5.52229	+	2.00995i	−0.317772	+	0.115660i
$303$	−26.6313			−1.52993
$304$		0			0
$305$	8.02734			0.459644
$306$	−3.13429	+	1.14079i	−0.179175	+	0.0652144i
$307$	2.03091	−	11.5178i	0.115910	−	0.657358i	−0.870386	−	0.492371i	$-0.836130\pi$
$307$	2.03091	−	11.5178i	0.115910	−	0.657358i	0.986296	−	0.164988i	$-0.0527584\pi$
$308$	0.109470	−	0.0918566i	0.00623766	−	0.00523401i
$309$	12.1532	+	10.1977i	0.691370	+	0.580128i
$310$	1.46198	+	8.29131i	0.0830350	+	0.470915i
$311$	−7.98293	−	13.8268i	−0.452670	−	0.784048i	0.545881	−	0.837863i	$-0.316195\pi$
$311$	−7.98293	−	13.8268i	−0.452670	−	0.784048i	−0.998551	+	0.0538151i	$0.982862\pi$
$312$	−10.9081	+	18.8933i	−0.617548	+	1.06962i
$313$	25.0228	+	9.10754i	1.41437	+	0.514788i	0.932409	−	0.361404i	$-0.117703\pi$
$313$	25.0228	+	9.10754i	1.41437	+	0.514788i	0.481961	+	0.876193i	$0.339925\pi$
$314$	12.1775	+	4.43225i	0.687217	+	0.250127i
$315$	−0.807934	+	1.39938i	−0.0455219	+	0.0788462i
$316$	1.09446	+	1.89565i	0.0615679	+	0.106639i
$317$	−5.12819	−	29.0834i	−0.288028	−	1.63349i	−0.694264	−	0.719720i	$-0.744270\pi$
$317$	−5.12819	−	29.0834i	−0.288028	−	1.63349i	0.406236	−	0.913768i	$-0.366841\pi$
$318$	8.43242	+	7.07564i	0.472867	+	0.396782i
$319$	−11.7344	+	9.84635i	−0.657002	+	0.551290i
$320$	1.31268	−	7.44459i	0.0733811	−	0.416165i
$321$	27.6917	−	10.0789i	1.54560	−	0.562551i
$322$	−1.26083			−0.0702633
$323$		0			0
$324$	−0.576666			−0.0320370
$325$	−10.2233	+	3.72097i	−0.567085	+	0.206402i
$326$	1.95471	−	11.0857i	0.108261	−	0.613980i
$327$	4.02094	−	3.37397i	0.222359	−	0.186581i
$328$	5.58235	+	4.68415i	0.308234	+	0.258639i
$329$	−0.439693	−	2.49362i	−0.0242410	−	0.137478i
$330$	3.79813	+	6.57856i	0.209080	+	0.362138i
$331$	13.8327	−	23.9590i	0.760317	−	1.31691i	−0.182371	−	0.983230i	$-0.558377\pi$
$331$	13.8327	−	23.9590i	0.760317	−	1.31691i	0.942687	−	0.333677i	$-0.108290\pi$
$332$	−2.57532	−	0.937341i	−0.141339	−	0.0514432i
$333$	24.5783	+	8.94578i	1.34688	+	0.490225i
$334$	2.71823	−	4.70810i	0.148735	−	0.257616i
$335$	3.37464	+	5.84504i	0.184376	+	0.319349i
$336$	−0.624485	−	3.54163i	−0.0340685	−	0.193212i
$337$	−13.6814	−	11.4800i	−0.745273	−	0.625358i	0.188975	−	0.981982i	$-0.439483\pi$
$337$	−13.6814	−	11.4800i	−0.745273	−	0.625358i	−0.934248	+	0.356624i	$0.883928\pi$
$338$	−6.57919	+	5.52060i	−0.357861	+	0.300281i
$339$	8.84389	−	50.1562i	0.480334	−	2.72411i
$340$	0.0714517	−	0.0260063i	0.00387501	−	0.00141039i
$341$	−15.8229			−0.856861
$342$		0			0
$343$	−4.82026			−0.260270
$344$	10.7922	−	3.92804i	0.581877	−	0.211786i
$345$	−1.18479	+	6.71929i	−0.0637871	+	0.361755i
$346$	20.7902	−	17.4451i	1.11769	−	0.937853i
$347$	−4.44356	−	3.72859i	−0.238543	−	0.200161i	0.515677	−	0.856783i	$-0.327540\pi$
$347$	−4.44356	−	3.72859i	−0.238543	−	0.200161i	−0.754220	+	0.656622i	$0.771985\pi$
$348$	−0.635630	−	3.60483i	−0.0340733	−	0.193239i
$349$	−2.68614	−	4.65253i	−0.143786	−	0.249044i	0.785134	−	0.619326i	$-0.212594\pi$
$349$	−2.68614	−	4.65253i	−0.143786	−	0.249044i	−0.928919	+	0.370282i	$0.879261\pi$
$350$	0.988856	−	1.71275i	0.0528566	−	0.0915502i
$351$	15.9547	+	5.80704i	0.851599	+	0.309957i
$352$	2.18004	+	0.793471i	0.116197	+	0.0422922i
$353$	12.6172	−	21.8537i	0.671546	−	1.16315i	−0.305919	−	0.952057i	$-0.598964\pi$
$353$	12.6172	−	21.8537i	0.671546	−	1.16315i	0.977466	−	0.211095i	$-0.0677029\pi$
$354$	−12.2306	−	21.1839i	−0.650047	−	1.12591i
$355$	1.42097	+	8.05872i	0.0754172	+	0.427712i
$356$	−1.45677	−	1.22237i	−0.0772085	−	0.0647856i
$357$	0.358441	−	0.300767i	0.0189707	−	0.0159183i
$358$	2.69341	−	15.2751i	0.142351	−	0.807314i
$359$	−6.28359	+	2.28704i	−0.331635	+	0.120705i	−0.502471	−	0.864594i	$-0.667575\pi$
$359$	−6.28359	+	2.28704i	−0.331635	+	0.120705i	0.170836	+	0.985300i	$0.445353\pi$
$360$	−13.6955			−0.721818
$361$		0			0
$362$	−11.5021			−0.604535
$363$	16.3478	−	5.95010i	0.858035	−	0.312299i
$364$	0.0286853	−	0.162683i	0.00150352	−	0.00852688i
$365$	0.935822	−	0.785248i	0.0489832	−	0.0411018i
$366$	27.1275	+	22.7627i	1.41798	+	1.18982i
$367$	1.40983	+	7.99552i	0.0735923	+	0.417363i	0.999240	+	0.0389764i	$0.0124097\pi$
$367$	1.40983	+	7.99552i	0.0735923	+	0.417363i	−0.925648	+	0.378386i	$0.876479\pi$
$368$	−4.84524	−	8.39220i	−0.252575	−	0.437473i
$369$	6.54916	−	11.3435i	0.340936	−	0.590518i
$370$	5.50387	+	2.00324i	0.286133	+	0.104144i
$371$	−0.926022	−	0.337044i	−0.0480767	−	0.0174985i
$372$	1.89053	−	3.27449i	0.0980194	−	0.169775i
$373$	17.4488	+	30.2222i	0.903463	+	1.56484i	0.822967	+	0.568090i	$0.192317\pi$
$373$	17.4488	+	30.2222i	0.903463	+	1.56484i	0.0804968	+	0.996755i	$0.474349\pi$
$374$	−0.243756	−	1.38241i	−0.0126043	−	0.0714826i
$375$	−17.8969	−	15.0173i	−0.924193	−	0.775490i
$376$	16.4402	−	13.7949i	0.847836	−	0.711419i
$377$	−3.07486	+	17.4384i	−0.158363	+	0.898122i
$378$	−2.90033	+	1.05563i	−0.149177	+	0.0542959i
$379$	−1.70140			−0.0873950			−0.0436975	−	0.999045i	$-0.513914\pi$
$379$	−1.70140			−0.0873950			−0.0436975	+	0.999045i	$0.513914\pi$
$380$		0			0
$381$	−33.4124			−1.71177
$382$	−23.2135	+	8.44901i	−1.18770	+	0.432289i
$383$	−0.509962	+	2.89214i	−0.0260579	+	0.147781i	−0.995061	−	0.0992680i	$-0.968350\pi$
$383$	−0.509962	+	2.89214i	−0.0260579	+	0.147781i	0.969003	+	0.247049i	$0.0794610\pi$
$384$	20.9500	−	17.5791i	1.06910	−	0.897080i
$385$	−0.520945	−	0.437124i	−0.0265498	−	0.0222779i
$386$	−0.0696407	−	0.394952i	−0.00354462	−	0.0201025i
$387$	−10.3216	−	17.8775i	−0.524677	−	0.908767i
$388$	−0.873455	+	1.51287i	−0.0443430	+	0.0768043i
$389$	23.0856	+	8.40247i	1.17049	+	0.426022i	0.852832	−	0.522185i	$-0.174883\pi$
$389$	23.0856	+	8.40247i	1.17049	+	0.426022i	0.317654	+	0.948207i	$0.397105\pi$
$390$	8.25150	+	3.00330i	0.417831	+	0.152078i
$391$	0.630415	−	1.09191i	0.0318815	−	0.0552203i
$392$	−10.1250	−	17.5369i	−0.511387	−	0.885749i
$393$	0.922618	+	5.23243i	0.0465399	+	0.263941i
$394$	13.5628	+	11.3806i	0.683286	+	0.573345i
$395$	7.97952	−	6.69561i	0.401493	−	0.336893i
$396$	0.378041	−	2.14398i	0.0189973	−	0.107739i
$397$	29.9158	−	10.8885i	1.50143	−	0.546476i	0.545001	−	0.838436i	$-0.316529\pi$
$397$	29.9158	−	10.8885i	1.50143	−	0.546476i	0.956431	+	0.291959i	$0.0943071\pi$
$398$	−0.345866			−0.0173367
$399$		0			0
$400$	15.2003			0.760014
$401$	−0.0812519	+	0.0295733i	−0.00405753	+	0.00147682i	−0.344048	−	0.938952i	$-0.611798\pi$
$401$	−0.0812519	+	0.0295733i	−0.00405753	+	0.00147682i	0.339991	+	0.940429i	$0.389576\pi$
$402$	−5.17024	+	29.3219i	−0.257868	+	1.46244i
$403$	−14.0116	+	11.7571i	−0.697968	+	0.585665i
$404$	1.30928	+	1.09861i	0.0651390	+	0.0546581i
$405$	0.476529	+	2.70253i	0.0236789	+	0.134290i
$406$	−1.60947	−	2.78768i	−0.0798767	−	0.138350i
$407$	−5.50387	+	9.53298i	−0.272817	+	0.472532i
$408$	3.72668	+	1.35640i	0.184498	+	0.0671519i
$409$	18.7995	+	6.84245i	0.929574	+	0.338337i	0.762041	−	0.647529i	$-0.224198\pi$
$409$	18.7995	+	6.84245i	0.929574	+	0.338337i	0.167534	+	0.985866i	$0.446420\pi$
$410$	1.46657	−	2.54017i	0.0724286	−	0.125450i
$411$	−0.368241	−	0.637812i	−0.0181640	−	0.0314609i
$412$	−0.176803	−	1.00270i	−0.00871048	−	0.0493996i
$413$	1.67752	+	1.40761i	0.0825453	+	0.0692637i
$414$	−14.7142	+	12.3467i	−0.723163	+	0.606806i
$415$	−2.26470	+	12.8438i	−0.111170	+	0.630475i
$416$	2.52007	−	0.917229i	0.123556	−	0.0449709i
$417$	12.2763			0.601174
$418$		0			0
$419$	25.4097			1.24135			0.620673	−	0.784070i	$-0.286859\pi$
$419$	25.4097			1.24135			0.620673	+	0.784070i	$0.286859\pi$
$420$	0.152704	−	0.0555796i	0.00745117	−	0.00271201i
$421$	−0.758770	+	4.30320i	−0.0369802	+	0.209725i	−0.997699	−	0.0677984i	$-0.978403\pi$
$421$	−0.758770	+	4.30320i	−0.0369802	+	0.209725i	0.960719	+	0.277524i	$0.0895137\pi$
$422$	−2.52687	+	2.12030i	−0.123006	+	0.103215i
$423$	−29.5501	−	24.7955i	−1.43677	−	1.20560i
$424$	−1.45037	−	8.22546i	−0.0704362	−	0.399464i
$425$	0.988856	+	1.71275i	0.0479665	+	0.0830805i
$426$	−18.0496	+	31.2629i	−0.874507	+	1.51469i
$427$	−2.97906	−	1.08429i	−0.144167	−	0.0524724i
$428$	−1.77719	−	0.646844i	−0.0859037	−	0.0312664i
$429$	−8.25150	+	14.2920i	−0.398386	+	0.690025i
$430$	−2.31134	−	4.00335i	−0.111463	−	0.193059i
$431$	6.65183	+	37.7244i	0.320407	+	1.81712i	0.540158	+	0.841564i	$0.318364\pi$
$431$	6.65183	+	37.7244i	0.320407	+	1.81712i	−0.219751	+	0.975556i	$0.570524\pi$
$432$	−18.1721	−	15.2482i	−0.874303	−	0.733628i
$433$	13.8892	−	11.6544i	0.667472	−	0.560075i	−0.244844	−	0.969562i	$-0.578737\pi$
$433$	13.8892	−	11.6544i	0.667472	−	0.560075i	0.912316	+	0.409487i	$0.134292\pi$
$434$	0.577382	−	3.27449i	0.0277152	−	0.157181i
$435$	−16.3687	+	5.95772i	−0.784819	+	0.285651i
$436$	−0.336867			−0.0161330
$437$		0			0
$438$	5.38919			0.257505
$439$	−5.72328	+	2.08310i	−0.273157	+	0.0994211i	−0.474967	−	0.880004i	$-0.657540\pi$
$439$	−5.72328	+	2.08310i	−0.273157	+	0.0994211i	0.201810	+	0.979425i	$0.435318\pi$
$440$	1.00088	−	5.67626i	0.0477150	−	0.270605i
$441$	−27.8824	+	23.3961i	−1.32773	+	1.11410i
$442$	−1.24304	−	1.04303i	−0.0591254	−	0.0496121i
$443$	−5.19088	−	29.4390i	−0.246626	−	1.39869i	−0.816685	−	0.577084i	$-0.804191\pi$
$443$	−5.19088	−	29.4390i	−0.246626	−	1.39869i	0.570059	−	0.821604i	$-0.306920\pi$
$444$	−1.31521	−	2.27801i	−0.0624170	−	0.108109i
$445$	−4.52481	+	7.83721i	−0.214497	+	0.371519i
$446$	−10.7738	−	3.92134i	−0.510154	−	0.185681i
$447$	−44.8055	−	16.3079i	−2.11923	−	0.771335i
$448$	−1.49273	+	2.58548i	−0.0705247	+	0.122152i
$449$	−5.62495	−	9.74270i	−0.265458	−	0.459787i	0.702226	−	0.711955i	$-0.252190\pi$
$449$	−5.62495	−	9.74270i	−0.265458	−	0.459787i	−0.967683	+	0.252168i	$0.918856\pi$
$450$	−5.23190	−	29.6716i	−0.246634	−	1.39873i
$451$	4.22281	+	3.54336i	0.198844	+	0.166850i
$452$	−2.50387	+	2.10100i	−0.117772	+	0.0988226i
$453$	2.18092	−	12.3686i	0.102469	−	0.581129i
$454$	−17.9153	+	6.52065i	−0.840809	+	0.306029i
$455$	−0.786112			−0.0368535
$456$		0			0
$457$	−23.3901			−1.09414			−0.547072	−	0.837086i	$-0.684258\pi$
$457$	−23.3901			−1.09414			−0.547072	+	0.837086i	$0.684258\pi$
$458$	25.9957	−	9.46167i	1.21470	−	0.442115i
$459$	0.535959	−	3.03958i	0.0250164	−	0.141875i
$460$	0.335437	−	0.281465i	0.0156398	−	0.0131234i
$461$	−28.0553	−	23.5412i	−1.30667	−	1.09642i	−0.988952	−	0.148237i	$-0.952640\pi$
$461$	−28.0553	−	23.5412i	−1.30667	−	1.09642i	−0.317714	−	0.948187i	$-0.602915\pi$
$462$	−0.520945	−	2.95442i	−0.0242365	−	0.137452i
$463$	21.4932	+	37.2273i	0.998873	+	1.73010i	0.540534	+	0.841322i	$0.318222\pi$
$463$	21.4932	+	37.2273i	0.998873	+	1.73010i	0.458340	+	0.888777i	$0.348444\pi$
$464$	12.3701	−	21.4256i	0.574265	−	0.994657i
$465$	−16.9081	−	6.15403i	−0.784093	−	0.285387i
$466$	−22.3469	−	8.13360i	−1.03520	−	0.376782i
$467$	−12.7981	+	22.1670i	−0.592227	+	1.02577i	0.401705	+	0.915769i	$0.368418\pi$
$467$	−12.7981	+	22.1670i	−0.592227	+	1.02577i	−0.993932	+	0.109998i	$0.964916\pi$
$468$	−1.25830	−	2.17945i	−0.0581651	−	0.100745i
$469$	−0.462859	−	2.62500i	−0.0213728	−	0.121211i
$470$	−6.61721	−	5.55250i	−0.305229	−	0.256118i
$471$	−21.2160	+	17.8023i	−0.977582	+	0.820289i
$472$	−3.22297	+	18.2784i	−0.148349	+	0.841331i
$473$	8.16385	−	2.97140i	0.375374	−	0.136625i
$474$	45.9522			2.11066
$475$		0			0
$476$	−0.0300295			−0.00137640
$477$	−14.1074	+	5.13468i	−0.645934	+	0.235101i
$478$	0.550345	−	3.12116i	0.0251722	−	0.142759i
$479$	29.2447	−	24.5392i	1.33622	−	1.12123i	0.353645	−	0.935380i	$-0.384942\pi$
$479$	29.2447	−	24.5392i	1.33622	−	1.12123i	0.982579	−	0.185845i	$-0.0595023\pi$
$480$	2.02094	+	1.69577i	0.0922431	+	0.0774011i
$481$	2.20961	+	12.5313i	0.100749	+	0.571378i
$482$	9.29679	+	16.1025i	0.423457	+	0.733449i
$483$	1.34730	−	2.33359i	0.0613041	−	0.106182i
$484$	−1.04916	−	0.381864i	−0.0476892	−	0.0173575i
$485$	7.81180	+	2.84326i	0.354716	+	0.129106i
$486$	7.27766	−	12.6053i	0.330121	−	0.571787i
$487$	3.88191	+	6.72367i	0.175906	+	0.304678i	0.940475	−	0.339864i	$-0.110381\pi$
$487$	3.88191	+	6.72367i	0.175906	+	0.304678i	−0.764568	+	0.644543i	$0.777048\pi$
$488$	−4.66591	−	26.4617i	−0.211216	−	1.19786i
$489$	18.4290	+	15.4638i	0.833389	+	0.699296i
$490$	−6.24376	+	5.23913i	−0.282064	+	0.236680i
$491$	−6.37686	+	36.1650i	−0.287784	+	1.63210i	0.407386	+	0.913256i	$0.366440\pi$
$491$	−6.37686	+	36.1650i	−0.287784	+	1.63210i	−0.695169	+	0.718846i	$0.744671\pi$
$492$	−1.23783	+	0.450532i	−0.0558055	+	0.0203115i
$493$	3.21894			0.144974
$494$		0			0
$495$	−10.3601			−0.465651
$496$	24.0141	−	8.74043i	1.07827	−	0.392457i
$497$	0.561185	−	3.18264i	0.0251726	−	0.142761i
$498$	−44.0736	+	36.9821i	−1.97498	+	1.65721i
$499$	3.77379	+	3.16658i	0.168938	+	0.141756i	0.723337	−	0.690495i	$-0.242607\pi$
$499$	3.77379	+	3.16658i	0.168938	+	0.141756i	−0.554399	+	0.832251i	$0.687052\pi$
$500$	0.260363	+	1.47659i	0.0116438	+	0.0660352i
$501$	5.80928	+	10.0620i	0.259539	+	0.449535i
$502$	2.80587	−	4.85992i	0.125232	−	0.216909i
$503$	−30.9624	−	11.2694i	−1.38055	−	0.502478i	−0.458203	−	0.888847i	$-0.651507\pi$
$503$	−30.9624	−	11.2694i	−1.38055	−	0.502478i	−0.922344	+	0.386369i	$0.873729\pi$
$504$	5.08260	+	1.84991i	0.226397	+	0.0824017i
$505$	4.06670	−	7.04374i	0.180966	−	0.313442i
$506$	−4.04189	−	7.00076i	−0.179684	−	0.311222i
$507$	−3.18732	−	18.0762i	−0.141554	−	0.802791i
$508$	1.64266	+	1.37835i	0.0728810	+	0.0611544i
$509$	28.2939	−	23.7414i	1.25410	−	1.05232i	0.257819	−	0.966193i	$-0.416996\pi$
$509$	28.2939	−	23.7414i	1.25410	−	1.05232i	0.996284	−	0.0861240i	$-0.0274481\pi$
$510$	0.277189	−	1.57202i	0.0122741	−	0.0696100i
$511$	−0.453363	+	0.165011i	−0.0200556	+	0.00729964i
$512$	−24.9186			−1.10126
$513$		0			0
$514$	−0.898986			−0.0396526
$515$	−4.55303	+	1.65717i	−0.200631	+	0.0730236i
$516$	−0.360500	+	2.04450i	−0.0158701	+	0.0900040i
$517$	12.4363	−	10.4353i	0.546947	−	0.458943i
$518$	−1.77197	−	1.48686i	−0.0778561	−	0.0653290i
$519$	10.0719	+	57.1207i	0.442108	+	2.50732i
$520$	−3.33140	−	5.77016i	−0.146092	−	0.253038i
$521$	4.64590	−	8.04693i	0.203540	−	0.352542i	−0.746126	−	0.665804i	$-0.768088\pi$
$521$	4.64590	−	8.04693i	0.203540	−	0.352542i	0.949667	+	0.313262i	$0.101422\pi$
$522$	−46.0813	−	16.7722i	−2.01692	−	0.734100i
$523$	−26.7015	−	9.71854i	−1.16757	−	0.424962i	−0.315776	−	0.948834i	$-0.602265\pi$
$523$	−26.7015	−	9.71854i	−1.16757	−	0.424962i	−0.851797	+	0.523872i	$0.824487\pi$
$524$	0.170493	−	0.295303i	0.00744802	−	0.0129004i
$525$	2.11334	+	3.66041i	0.0922338	+	0.159754i
$526$	2.66700	+	15.1253i	0.116287	+	0.659496i
$527$	2.54710	+	2.13727i	0.110954	+	0.0931011i
$528$	17.6630	−	14.8210i	0.768682	−	0.645001i
$529$	−2.73308	+	15.5001i	−0.118829	+	0.673916i
$530$	−3.15910	+	1.14982i	−0.137223	+	0.0499449i
$531$	33.3610			1.44775
$532$		0			0
$533$	6.37227			0.276014
$534$	−37.5146	+	13.6542i	−1.62342	+	0.590875i
$535$	−1.56283	+	8.86327i	−0.0675672	+	0.383193i
$536$	17.3063	−	14.5217i	0.747520	−	0.627244i
$537$	25.3935	+	21.3077i	1.09581	+	0.919495i
$538$	−4.53643	−	25.7274i	−0.195579	−	1.10918i
$539$	−7.65910	−	13.2660i	−0.329901	−	0.571405i
$540$	0.535959	−	0.928309i	0.0230640	−	0.0399480i
$541$	−14.0817	−	5.12533i	−0.605420	−	0.220355i	0.0210779	−	0.999778i	$-0.493290\pi$
$541$	−14.0817	−	5.12533i	−0.605420	−	0.220355i	−0.626498	+	0.779423i	$0.715512\pi$
$542$	16.9577	+	6.17210i	0.728396	+	0.265114i
$543$	12.2909	−	21.2884i	0.527451	−	0.913572i
$544$	−0.243756	−	0.422197i	−0.0104509	−	0.0181016i
$545$	0.278371	+	1.57872i	0.0119241	+	0.0676249i
$546$	−2.65657	−	2.22913i	−0.113691	−	0.0953980i
$547$	2.97771	−	2.49860i	0.127318	−	0.106832i	−0.576905	−	0.816811i	$-0.695740\pi$
$547$	2.97771	−	2.49860i	0.127318	−	0.106832i	0.704223	+	0.709979i	$0.251295\pi$
$548$	−0.00820761	+	0.0465477i	−0.000350612	+	0.00198842i
$549$	−45.3842	+	16.5185i	−1.93695	+	0.704992i
$550$	12.6800			0.540679
$551$		0			0
$552$	22.8384			0.972068
$553$	−3.86571	+	1.40701i	−0.164387	+	0.0598319i
$554$	4.15199	−	23.5471i	0.176401	−	1.00042i
$555$	−9.58899	+	8.04612i	−0.407030	+	0.341539i
$556$	−0.603541	−	0.506431i	−0.0255958	−	0.0214774i
$557$	2.29292	+	13.0038i	0.0971541	+	0.550988i	0.994066	+	0.108779i	$0.0346940\pi$
$557$	2.29292	+	13.0038i	0.0971541	+	0.550988i	−0.896912	+	0.442209i	$0.854195\pi$
$558$	−25.3273	−	43.8681i	−1.07219	−	1.85709i
$559$	5.02141	−	8.69734i	0.212383	−	0.367858i
$560$	1.03209	+	0.375650i	0.0436137	+	0.0158741i
$561$	2.81908	+	1.02606i	0.119022	+	0.0433203i
$562$	12.3136	−	21.3278i	0.519418	−	0.899659i
$563$	5.35638	+	9.27752i	0.225745	+	0.391001i	0.956543	−	0.291593i	$-0.0941852\pi$
$563$	5.35638	+	9.27752i	0.225745	+	0.391001i	−0.730798	+	0.682594i	$0.760852\pi$
$564$	0.673648	+	3.82045i	0.0283657	+	0.160870i
$565$	11.9153	+	9.99816i	0.501282	+	0.420626i
$566$	7.93448	−	6.65782i	0.333511	−	0.279849i
$567$	0.188196	−	1.06731i	0.00790349	−	0.0448229i
$568$	25.7392	−	9.36829i	1.07999	−	0.393085i
$569$	13.4706			0.564717			0.282358	−	0.959309i	$-0.408883\pi$
$569$	13.4706			0.564717			0.282358	+	0.959309i	$0.408883\pi$
$570$		0			0
$571$	12.6655			0.530035			0.265017	−	0.964244i	$-0.414622\pi$
$571$	12.6655			0.530035			0.265017	+	0.964244i	$0.414622\pi$
$572$	0.995252	−	0.362242i	0.0416136	−	0.0151461i
$573$	9.16772	−	51.9927i	0.382987	−	2.17203i
$574$	−0.887374	+	0.744596i	−0.0370383	+	0.0310788i
$575$	8.72462	+	7.32083i	0.363842	+	0.305300i
$576$	7.89780	+	44.7907i	0.329075	+	1.86628i
$577$	5.27719	+	9.14036i	0.219692	+	0.380518i	0.954714	−	0.297526i	$-0.0961613\pi$
$577$	5.27719	+	9.14036i	0.219692	+	0.380518i	−0.735022	+	0.678044i	$0.762828\pi$
$578$	11.3045	−	19.5800i	0.470206	−	0.814421i
$579$	0.805407	+	0.293144i	0.0334716	+	0.0121827i
$580$	1.05051	+	0.382353i	0.0436199	+	0.0158764i
$581$	2.57532	−	4.46059i	0.106842	−	0.185056i
$582$	18.3366	+	31.7600i	0.760077	+	1.31649i
$583$	−1.09714	−	6.22221i	−0.0454391	−	0.257698i
$584$	−3.13247	−	2.62846i	−0.129623	−	0.108766i
$585$	−9.17412	+	7.69800i	−0.379303	+	0.318273i
$586$	2.45723	−	13.9357i	0.101507	−	0.575677i
$587$	17.9996	−	6.55131i	0.742923	−	0.270402i	0.0572981	−	0.998357i	$-0.481751\pi$
$587$	17.9996	−	6.55131i	0.742923	−	0.270402i	0.685624	+	0.727955i	$0.259529\pi$
$588$	3.66044			0.150954
$589$		0			0
$590$	7.47060			0.307560
$591$	−35.5565	+	12.9415i	−1.46260	+	0.532342i
$592$	3.08718	−	17.5083i	0.126882	−	0.719586i
$593$	−6.66044	+	5.58878i	−0.273512	+	0.229504i	−0.769218	−	0.638987i	$-0.779354\pi$
$593$	−6.66044	+	5.58878i	−0.273512	+	0.229504i	0.495706	+	0.868490i	$0.334909\pi$
$594$	−15.1591	−	12.7200i	−0.621985	−	0.521908i
$595$	0.0248149	+	0.140732i	0.00101731	+	0.00576947i
$596$	1.53003	+	2.65009i	0.0626724	+	0.108552i
$597$	0.369585	−	0.640140i	0.0151261	−	0.0261992i
$598$	−8.78106	−	3.19604i	−0.359084	−	0.130696i
$599$	18.6356	+	6.78281i	0.761431	+	0.277138i	0.693408	−	0.720545i	$-0.256109\pi$
$599$	18.6356	+	6.78281i	0.761431	+	0.277138i	0.0680235	+	0.997684i	$0.478331\pi$
$600$	−17.9119	+	31.0244i	−0.731252	+	1.26657i
$601$	−16.8807	−	29.2383i	−0.688579	−	1.19265i	−0.972298	−	0.233747i	$-0.924901\pi$
$601$	−16.8807	−	29.2383i	−0.688579	−	1.19265i	0.283718	−	0.958908i	$-0.408432\pi$
$602$	0.317018	+	1.79790i	0.0129207	+	0.0732770i
$603$	−31.1070	−	26.1019i	−1.26677	−	1.06295i
$604$	−0.617460	+	0.518110i	−0.0251241	+	0.0210816i
$605$	−0.922618	+	5.23243i	−0.0375098	+	0.212729i
$606$	33.7165	−	12.2718i	1.36964	−	0.498507i
$607$	−35.2850			−1.43217			−0.716087	−	0.698011i	$-0.754068\pi$
$607$	−35.2850			−1.43217			−0.716087	+	0.698011i	$0.754068\pi$
$608$		0			0
$609$	6.87939			0.278767
$610$	−10.1630	+	3.69902i	−0.411487	+	0.149769i
$611$	3.25877	−	18.4814i	0.131836	−	0.747678i
$612$	−0.350452	+	0.294064i	−0.0141662	+	0.0118868i
$613$	14.1361	+	11.8616i	0.570952	+	0.479085i	0.881962	−	0.471321i	$-0.156223\pi$
$613$	14.1361	+	11.8616i	0.570952	+	0.479085i	−0.311010	+	0.950407i	$0.600667\pi$
$614$	2.73623	+	15.5180i	0.110425	+	0.626254i
$615$	3.13429	+	5.42874i	0.126387	+	0.218908i
$616$	−1.13816	+	1.97134i	−0.0458576	+	0.0794277i
$617$	33.5333	+	12.2051i	1.35000	+	0.491360i	0.912948	−	0.408076i	$-0.133800\pi$
$617$	33.5333	+	12.2051i	1.35000	+	0.491360i	0.437053	+	0.899436i	$0.356022\pi$
$618$	−20.0856	−	7.31056i	−0.807961	−	0.294074i
$619$	−1.82976	+	3.16923i	−0.0735441	+	0.127382i	−0.900452	−	0.434955i	$-0.856764\pi$
$619$	−1.82976	+	3.16923i	−0.0735441	+	0.127382i	0.826908	+	0.562337i	$0.190098\pi$
$620$	0.577382	+	1.00005i	0.0231882	+	0.0401631i
$621$	−3.08647	−	17.5042i	−0.123856	−	0.702420i
$622$	16.4782	+	13.8268i	0.660715	+	0.554406i
$623$	2.73783	−	2.29731i	0.109689	−	0.0920397i
$624$	4.62836	−	26.2487i	0.185283	−	1.05079i
$625$	−13.1540	+	4.78768i	−0.526162	+	0.191507i
$626$	−35.8767			−1.43392
$627$		0			0
$628$	1.77744			0.0709275
$629$	2.17365	−	0.791143i	0.0866690	−	0.0315449i
$630$	0.378041	−	2.14398i	0.0150615	−	0.0854181i
$631$	−0.608126	+	0.510278i	−0.0242091	+	0.0203139i	−0.654812	−	0.755792i	$-0.727252\pi$
$631$	−0.608126	+	0.510278i	−0.0242091	+	0.0203139i	0.630603	+	0.776106i	$0.282808\pi$
$632$	−26.7098	−	22.4122i	−1.06246	−	0.891510i
$633$	−1.22416	−	6.94253i	−0.0486558	−	0.275941i
$634$	19.8942	+	34.4578i	0.790101	+	1.36850i
$635$	5.10220	−	8.83726i	0.202474	−	0.350696i
$636$	1.41875	+	0.516382i	0.0562570	+	0.0204759i
$637$	−16.6395	−	6.05628i	−0.659281	−	0.239959i
$638$	10.3191	−	17.8732i	0.408536	−	0.707605i
$639$	−24.6168	−	42.6375i	−0.973826	−	1.68672i
$640$	1.45037	+	8.22546i	0.0573309	+	0.325140i
$641$	−22.5082	−	18.8866i	−0.889021	−	0.745977i	0.0789927	−	0.996875i	$-0.474830\pi$
$641$	−22.5082	−	18.8866i	−0.889021	−	0.745977i	−0.968013	+	0.250898i	$0.919274\pi$
$642$	−30.4145	+	25.5208i	−1.20036	+	1.00722i
$643$	3.85740	−	21.8764i	0.152121	−	0.862721i	−0.809250	−	0.587465i	$-0.800126\pi$
$643$	3.85740	−	21.8764i	0.152121	−	0.862721i	0.961371	−	0.275257i	$-0.0887628\pi$
$644$	−0.162504	+	0.0591466i	−0.00640355	+	0.00233070i
$645$	9.87939			0.389000
$646$		0			0
$647$	11.2591			0.442640			0.221320	−	0.975201i	$-0.428963\pi$
$647$	11.2591			0.442640			0.221320	+	0.975201i	$0.428963\pi$
$648$	8.63176	−	3.14170i	0.339088	−	0.123418i
$649$	−2.43804	+	13.8268i	−0.0957016	+	0.542751i
$650$	11.2285	−	9.42182i	0.440418	−	0.369554i
$651$	5.44356	+	4.56769i	0.213350	+	0.179022i
$652$	−0.268104	−	1.52049i	−0.0104998	−	0.0595471i
$653$	−13.5000	−	23.3827i	−0.528296	−	0.915035i	−0.999456	−	0.0329874i	$-0.989498\pi$
$653$	−13.5000	−	23.3827i	−0.528296	−	0.915035i	0.471160	−	0.882048i	$-0.343835\pi$
$654$	−3.53596	+	6.12446i	−0.138267	+	0.239485i
$655$	−1.52481	−	0.554987i	−0.0595794	−	0.0216851i
$656$	−8.36618	−	3.04504i	−0.326645	−	0.118889i
$657$	−3.67499	+	6.36527i	−0.143375	+	0.248333i
$658$	1.70574	+	2.95442i	0.0664966	+	0.115175i
$659$	−4.86665	−	27.6001i	−0.189578	−	1.07515i	−0.919931	−	0.392079i	$-0.871756\pi$
$659$	−4.86665	−	27.6001i	−0.189578	−	1.07515i	0.730354	−	0.683069i	$-0.239355\pi$
$660$	0.798133	+	0.669713i	0.0310673	+	0.0260686i
$661$	−8.70826	+	7.30710i	−0.338712	+	0.284213i	−0.796239	−	0.604983i	$-0.793180\pi$
$661$	−8.70826	+	7.30710i	−0.338712	+	0.284213i	0.457526	+	0.889196i	$0.348736\pi$
$662$	−6.47250	+	36.7074i	−0.251561	+	1.42667i
$663$	3.25877	−	1.18610i	0.126560	−	0.0460641i
$664$	43.6551			1.69415
$665$		0			0
$666$	−35.2395			−1.36550
$667$	17.4192	−	6.34008i	0.674475	−	0.245489i
$668$	0.129481	−	0.734325i	0.00500978	−	0.0284119i
$669$	18.7704	−	15.7502i	0.725705	−	0.608939i
$670$	−6.96585	−	5.84504i	−0.269114	−	0.225814i
$671$	−3.52956	−	20.0171i	−0.136257	−	0.772753i
$672$	−0.520945	−	0.902302i	−0.0200959	−	0.0348071i
$673$	−8.28359	+	14.3476i	−0.319309	+	0.553059i	−0.980344	−	0.197296i	$-0.936784\pi$
$673$	−8.28359	+	14.3476i	−0.319309	+	0.553059i	0.661035	+	0.750355i	$0.270117\pi$
$674$	22.6113	+	8.22983i	0.870954	+	0.317001i
$675$	26.1989	+	9.53563i	1.00840	+	0.367027i
$676$	−0.588993	+	1.02017i	−0.0226536	+	0.0392371i
$677$	−4.52481	−	7.83721i	−0.173903	−	0.301208i	0.765878	−	0.642986i	$-0.222305\pi$
$677$	−4.52481	−	7.83721i	−0.173903	−	0.301208i	−0.939781	+	0.341777i	$0.888971\pi$
$678$	11.9153	+	67.5753i	0.457606	+	2.59521i
$679$	−2.51501	−	2.11035i	−0.0965174	−	0.0809877i
$680$	−0.927833	+	0.778544i	−0.0355808	+	0.0298558i
$681$	7.07532	−	40.1261i	0.271127	−	1.53764i
$682$	20.0326	−	7.29125i	0.767086	−	0.279197i
$683$	−8.73143			−0.334099			−0.167049	−	0.985949i	$-0.553424\pi$
$683$	−8.73143			−0.334099			−0.167049	+	0.985949i	$0.553424\pi$
$684$		0			0
$685$	0.224927			0.00859402
$686$	6.10266	−	2.22119i	0.233001	−	0.0848053i
$687$	−10.2665	+	58.2243i	−0.391692	+	2.22139i
$688$	−10.7487	+	9.01925i	−0.409791	+	0.343856i
$689$	−5.59492	−	4.69470i	−0.213150	−	0.178854i
$690$	−1.59627	−	9.05288i	−0.0607688	−	0.344637i
$691$	−17.3601	−	30.0686i	−0.660409	−	1.14386i	−0.980508	−	0.196478i	$-0.937050\pi$
$691$	−17.3601	−	30.0686i	−0.660409	−	1.14386i	0.320099	−	0.947384i	$-0.396284\pi$
$692$	1.86122	−	3.22372i	0.0707528	−	0.122547i
$693$	3.84477	+	1.39938i	0.146051	+	0.0531581i
$694$	7.34389	+	2.67296i	0.278770	+	0.101464i
$695$	−1.87464	+	3.24697i	−0.0711091	+	0.123164i
$696$	29.1536	+	50.4956i	1.10507	+	1.91403i
$697$	−0.201151	−	1.14079i	−0.00761915	−	0.0432104i
$698$	5.54466	+	4.65253i	0.209869	+	0.176101i
$699$	38.9334	−	32.6690i	1.47259	−	1.23565i
$700$	0.0471036	−	0.267138i	0.00178035	−	0.0100969i
$701$	−37.0381	+	13.4808i	−1.39891	+	0.509161i	−0.927854	−	0.372943i	$-0.878349\pi$
$701$	−37.0381	+	13.4808i	−1.39891	+	0.509161i	−0.471055	+	0.882104i	$0.656126\pi$
$702$	−22.8753			−0.863371
$703$		0			0
$704$	−19.1411			−0.721409
$705$	17.3478	−	6.31407i	0.653355	−	0.237802i
$706$	−5.90373	+	33.4817i	−0.222190	+	1.26010i
$707$	−2.46064	+	2.06472i	−0.0925418	+	0.0776518i
$708$	−2.57011	−	2.15658i	−0.0965906	−	0.0810491i
$709$	−7.14068	−	40.4968i	−0.268174	−	1.52089i	−0.759842	−	0.650107i	$-0.774724\pi$
$709$	−7.14068	−	40.4968i	−0.268174	−	1.52089i	0.491668	−	0.870783i	$-0.336387\pi$
$710$	−5.51249	−	9.54791i	−0.206880	−	0.358327i
$711$	−31.3357	+	54.2751i	−1.17518	+	2.03548i
$712$	28.4650	+	10.3604i	1.06677	+	0.388273i
$713$	17.9932	+	6.54899i	0.673850	+	0.245261i
$714$	−0.315207	+	0.545955i	−0.0117963	+	0.0204319i
$715$	−2.52007	−	4.36488i	−0.0942452	−	0.163237i
$716$	−0.369423	−	2.09510i	−0.0138060	−	0.0782976i
$717$	5.18866	+	4.35381i	0.193774	+	0.162596i
$718$	6.90143	−	5.79098i	0.257559	−	0.216118i
$719$	−7.36190	+	41.7514i	−0.274553	+	1.55706i	0.465827	+	0.884876i	$0.345757\pi$
$719$	−7.36190	+	41.7514i	−0.274553	+	1.55706i	−0.740379	+	0.672189i	$0.765354\pi$
$720$	15.7233	−	5.72281i	0.585972	−	0.213276i
$721$	1.91353			0.0712637
$722$		0			0
$723$	−39.7374			−1.47785
$724$	−1.48246	+	0.539571i	−0.0550952	+	0.0200530i
$725$	−5.04916	+	28.6352i	−0.187521	+	1.06349i
$726$	−17.9552	+	15.0662i	−0.666379	+	0.559158i
$727$	39.5710	+	33.2040i	1.46761	+	1.23147i	0.918321	+	0.395837i	$0.129545\pi$
$727$	39.5710	+	33.2040i	1.46761	+	1.23147i	0.549288	+	0.835633i	$0.314899\pi$
$728$	0.456929	+	2.59137i	0.0169349	+	0.0960427i
$729$	20.2344	+	35.0470i	0.749423	+	1.29804i
$730$	−0.822948	+	1.42539i	−0.0304587	+	0.0527560i
$731$	−1.71554	−	0.624404i	−0.0634514	−	0.0230944i
$732$	4.56418	+	1.66122i	0.168697	+	0.0614006i
$733$	11.4581	−	19.8460i	0.423215	−	0.733030i	−0.573037	−	0.819530i	$-0.694235\pi$
$733$	11.4581	−	19.8460i	0.423215	−	0.733030i	0.996252	+	0.0864997i	$0.0275682\pi$
$734$	−5.46926	−	9.47303i	−0.201874	−	0.349656i
$735$	−3.02481	−	17.1546i	−0.111572	−	0.632756i
$736$	−2.15064	−	1.80460i	−0.0792738	−	0.0665186i
$737$	13.0915	−	10.9851i	0.482232	−	0.404641i
$738$	−3.06443	+	17.3792i	−0.112803	+	0.639738i
$739$	−26.4304	+	9.61986i	−0.972256	+	0.353872i	−0.778825	−	0.627241i	$-0.784184\pi$
$739$	−26.4304	+	9.61986i	−0.972256	+	0.353872i	−0.193432	+	0.981114i	$0.561962\pi$
$740$	0.803348			0.0295317
$741$		0			0
$742$	1.32770			0.0487413
$743$	5.76264	−	2.09743i	0.211411	−	0.0769472i	−0.234144	−	0.972202i	$-0.575229\pi$
$743$	5.76264	−	2.09743i	0.211411	−	0.0769472i	0.445555	+	0.895255i	$0.353006\pi$
$744$	−10.4586	+	59.3135i	−0.383430	+	2.17454i
$745$	11.1552	−	9.36035i	0.408696	−	0.342937i
$746$	−36.0174	−	30.2222i	−1.31869	−	1.10651i
$747$	−13.6257	−	77.2750i	−0.498537	−	2.82734i
$748$	−0.0962667	−	0.166739i	−0.00351986	−	0.00609657i
$749$	1.77719	−	3.07818i	0.0649371	−	0.112474i
$750$	29.5783	+	10.7656i	1.08005	+	0.393105i
$751$	5.30066	+	1.92928i	0.193424	+	0.0704005i	0.436916	−	0.899502i	$-0.356071\pi$
$751$	5.30066	+	1.92928i	0.193424	+	0.0704005i	−0.243492	+	0.969903i	$0.578293\pi$
$752$	−13.1099	+	22.7071i	−0.478070	+	0.828042i
$753$	5.99660	+	10.3864i	0.218528	+	0.378502i
$754$	−4.14274	−	23.4947i	−0.150870	−	0.855625i
$755$	2.93835	+	2.46557i	0.106937	+	0.0897312i
$756$	−0.324292	+	0.272114i	−0.0117944	+	0.00989668i
$757$	2.72487	−	15.4535i	0.0990371	−	0.561667i	−0.894398	−	0.447272i	$-0.852396\pi$
$757$	2.72487	−	15.4535i	0.0990371	−	0.561667i	0.993435	−	0.114396i	$-0.0364932\pi$
$758$	2.15405	−	0.784009i	0.0782385	−	0.0284765i
$759$	17.2763			0.627090
$760$		0			0
$761$	4.86484			0.176350			0.0881751	−	0.996105i	$-0.471896\pi$
$761$	4.86484			0.176350			0.0881751	+	0.996105i	$0.471896\pi$
$762$	42.3016	−	15.3965i	1.53243	−	0.557757i
$763$	0.109937	−	0.623485i	0.00398000	−	0.0225717i
$764$	−2.59555	+	2.17793i	−0.0939038	+	0.0787946i
$765$	1.66772	+	1.39938i	0.0602965	+	0.0505948i
$766$	−0.687070	−	3.89657i	−0.0248249	−	0.140789i
$767$	8.11499	+	14.0556i	0.293015	+	0.507517i
$768$	6.32888	−	10.9619i	0.228374	−	0.395555i
$769$	−21.1732	−	7.70643i	−0.763526	−	0.277901i	−0.0692404	−	0.997600i	$-0.522058\pi$
$769$	−21.1732	−	7.70643i	−0.763526	−	0.277901i	−0.694286	+	0.719699i	$0.744280\pi$
$770$	0.860967	+	0.313366i	0.0310271	+	0.0112929i
$771$	0.960637	−	1.66387i	0.0345965	−	0.0599229i
$772$	−0.0275033	−	0.0476371i	−0.000989864	−	0.00171450i
$773$	4.58987	+	26.0304i	0.165086	+	0.936250i	0.948976	+	0.315350i	$0.102122\pi$
$773$	4.58987	+	26.0304i	0.165086	+	0.936250i	−0.783889	+	0.620900i	$0.786767\pi$
$774$	21.3056	+	17.8775i	0.765815	+	0.642595i
$775$	−23.0082	+	19.3062i	−0.826479	+	0.693498i
$776$	4.83203	−	27.4038i	0.173460	−	0.983740i
$777$	4.64543	−	1.69080i	0.166654	−	0.0606570i
$778$	−33.0993			−1.18667
$779$		0			0
$780$	1.20439			0.0431242
$781$	19.4706	−	7.08672i	0.696713	−	0.253583i
$782$	−0.294978	+	1.67290i	−0.0105484	+	0.0598229i
$783$	34.7618	−	29.1686i	1.24228	−	1.04240i
$784$	18.9520	+	15.9026i	0.676858	+	0.567951i
$785$	−1.46879	−	8.32991i	−0.0524233	−	0.297307i
$786$	−3.57919	−	6.19934i	−0.127666	−	0.221123i
$787$	−7.77884	+	13.4733i	−0.277286	+	0.480273i	−0.970709	−	0.240257i	$-0.922768\pi$
$787$	−7.77884	+	13.4733i	−0.277286	+	0.480273i	0.693424	+	0.720530i	$0.256101\pi$
$788$	2.28194	+	0.830557i	0.0812906	+	0.0295874i
$789$	−30.8444	−	11.2264i	−1.09809	−	0.399671i
$790$	−7.01707	+	12.1539i	−0.249656	+	0.432417i
$791$	−3.07145	−	5.31991i	−0.109208	−	0.189154i
$792$	6.02182	+	34.1514i	0.213976	+	1.21352i
$793$	−17.9991	−	15.1031i	−0.639168	−	0.536325i
$794$	−32.8573	+	27.5706i	−1.16606	+	0.978443i
$795$	1.24763	−	7.07564i	0.0442487	−	0.250947i
$796$	−0.0445774	+	0.0162249i	−0.00158000	+	0.000575075i
$797$	−33.4935			−1.18640			−0.593200	−	0.805055i	$-0.702136\pi$
$797$	−33.4935			−1.18640			−0.593200	+	0.805055i	$0.702136\pi$
$798$		0			0
$799$	−3.41147			−0.120689
$800$	4.13816	−	1.50617i	0.146306	−	0.0532510i
$801$	9.45471	−	53.6203i	0.334066	−	1.89458i
$802$	0.0892411	−	0.0748822i	0.00315121	−	0.00264418i
$803$	−2.36959	−	1.98832i	−0.0836208	−	0.0701662i
$804$	0.709141	+	4.02174i	0.0250095	+	0.141836i
$805$	0.411474	+	0.712694i	0.0145026	+	0.0251192i
$806$	12.3216	−	21.3416i	0.434010	−	0.751727i
$807$	52.4646	+	19.0955i	1.84684	+	0.672195i
$808$	−25.5831	−	9.31147i	−0.900009	−	0.327576i
$809$	−20.5581	+	35.6076i	−0.722784	+	1.25190i	0.237096	+	0.971486i	$0.423804\pi$
$809$	−20.5581	+	35.6076i	−0.722784	+	1.25190i	−0.959880	+	0.280412i	$0.909529\pi$
$810$	−1.84864	−	3.20194i	−0.0649546	−	0.112505i
$811$	−2.89780	−	16.4343i	−0.101756	−	0.577085i	−0.992467	−	0.122515i	$-0.960904\pi$
$811$	−2.89780	−	16.4343i	−0.101756	−	0.577085i	0.890711	−	0.454570i	$-0.150207\pi$
$812$	−0.338211	−	0.283793i	−0.0118689	−	0.00995918i
$813$	−29.5442	+	24.7905i	−1.03616	+	0.869441i
$814$	2.57532	−	14.6054i	0.0902650	−	0.511918i
$815$	−6.90420	+	2.51292i	−0.241844	+	0.0880239i
$816$	−4.84524			−0.169617
$817$		0			0
$818$	−26.9540			−0.942424
$819$	4.44444	−	1.61764i	0.155301	−	0.0565251i
$820$	0.0698592	−	0.396191i	0.00243959	−	0.0138356i
$821$	−24.0462	+	20.1772i	−0.839219	+	0.704188i	−0.957388	−	0.288805i	$-0.906742\pi$
$821$	−24.0462	+	20.1772i	−0.839219	+	0.704188i	0.118169	+	0.992994i	$0.462298\pi$
$822$	0.760115	+	0.637812i	0.0265120	+	0.0222462i
$823$	8.04442	+	45.6221i	0.280411	+	1.59029i	0.721232	+	0.692693i	$0.243576\pi$
$823$	8.04442	+	45.6221i	0.280411	+	1.59029i	−0.440822	+	0.897595i	$0.645313\pi$
$824$	8.10922	+	14.0456i	0.282498	+	0.489301i
$825$	−13.5496	+	23.4686i	−0.471738	+	0.817073i
$826$	−2.77244	−	1.00909i	−0.0964656	−	0.0351106i
$827$	38.3007	+	13.9403i	1.33185	+	0.484752i	0.907235	−	0.420623i	$-0.138189\pi$
$827$	38.3007	+	13.9403i	1.33185	+	0.484752i	0.424611	+	0.905376i	$0.360411\pi$
$828$	−1.31727	+	2.28157i	−0.0457782	+	0.0792901i
$829$	−17.7417	−	30.7295i	−0.616195	−	1.06728i	−0.990174	−	0.139843i	$-0.955340\pi$
$829$	−17.7417	−	30.7295i	−0.616195	−	1.06728i	0.373979	−	0.927437i	$-0.377993\pi$
$830$	−3.05122	−	17.3043i	−0.105909	−	0.600642i
$831$	39.1450	+	32.8466i	1.35793	+	1.13943i
$832$	−16.9500	+	14.2227i	−0.587634	+	0.493084i
$833$	−0.558963	+	3.17004i	−0.0193669	+	0.109835i
$834$	−15.5424	+	5.65695i	−0.538188	+	0.195884i
$835$	−3.54839			−0.122797
$836$		0			0
$837$	46.8735			1.62019
$838$	−32.1698	+	11.7089i	−1.11129	+	0.404476i
$839$	6.63382	−	37.6223i	0.229025	−	1.29886i	−0.625815	−	0.779972i	$-0.715233\pi$
$839$	6.63382	−	37.6223i	0.229025	−	1.29886i	0.854839	−	0.518893i	$-0.173656\pi$
$840$	−1.98293	+	1.66387i	−0.0684174	+	0.0574091i
$841$	14.0385	+	11.7797i	0.484086	+	0.406196i
$842$	−1.02229	−	5.79769i	−0.0352304	−	0.199802i
$843$	26.3161	+	45.5809i	0.906376	+	1.56989i
$844$	−0.226215	+	0.391815i	−0.00778663	+	0.0134868i
$845$	5.26769	+	1.91728i	0.181214	+	0.0659566i
$846$	48.8376	+	17.7754i	1.67907	+	0.611131i
$847$	1.04916	−	1.81720i	0.0360497	−	0.0624399i
$848$	5.10220	+	8.83726i	0.175210	+	0.303473i
$849$	3.84389	+	21.7998i	0.131922	+	0.748167i
$850$	−2.04117	−	1.71275i	−0.0700117	−	0.0587468i
$851$	10.2044	−	8.56250i	0.349802	−	0.293519i
$852$	−0.859785	+	4.87608i	−0.0294557	+	0.167052i
$853$	24.0577	−	8.75628i	0.823719	−	0.299809i	0.104441	−	0.994531i	$-0.466695\pi$
$853$	24.0577	−	8.75628i	0.823719	−	0.299809i	0.719278	+	0.694722i	$0.244473\pi$
$854$	4.27126			0.146159
$855$		0			0
$856$	30.1257			1.02967
$857$	−19.8148	+	7.21200i	−0.676861	+	0.246357i	−0.657499	−	0.753455i	$-0.728386\pi$
$857$	−19.8148	+	7.21200i	−0.676861	+	0.246357i	−0.0193616	+	0.999813i	$0.506163\pi$
$858$	3.86097	−	21.8966i	0.131811	−	0.747539i
$859$	−14.9893	+	12.5775i	−0.511429	+	0.429140i	−0.861632	−	0.507534i	$-0.830557\pi$
$859$	−14.9893	+	12.5775i	−0.511429	+	0.429140i	0.350203	+	0.936674i	$0.386113\pi$
$860$	−0.485700	−	0.407551i	−0.0165622	−	0.0138974i
$861$	−0.429892	−	2.43804i	−0.0146507	−	0.0830882i
$862$	−25.8050	−	44.6956i	−0.878922	−	1.52234i
$863$	2.47447	−	4.28591i	0.0842319	−	0.145894i	−0.820832	−	0.571170i	$-0.806490\pi$
$863$	2.47447	−	4.28591i	0.0842319	−	0.145894i	0.905064	+	0.425276i	$0.139823\pi$
$864$	−6.45811	−	2.35056i	−0.219709	−	0.0799677i
$865$	−16.6459	−	6.05861i	−0.565977	−	0.205999i
$866$	−12.2139	+	21.1552i	−0.415047	+	0.718882i
$867$	24.1596	+	41.8456i	0.820502	+	1.42115i
$868$	−0.0791925	−	0.449123i	−0.00268797	−	0.0152442i
$869$	−20.2049	−	16.9539i	−0.685403	−	0.575121i
$870$	17.9782	−	15.0855i	0.609517	−	0.511446i
$871$	3.43047	−	19.4551i	0.116237	−	0.659212i
$872$	5.04236	−	1.83527i	0.170756	−	0.0621500i
$873$	−50.0164			−1.69280
$874$		0			0
$875$	−2.81790			−0.0952623
$876$	0.694593	−	0.252811i	0.0234681	−	0.00854169i
$877$	−0.211829	+	1.20134i	−0.00715296	+	0.0405664i	−0.988175	−	0.153328i	$-0.951001\pi$
$877$	−0.211829	+	1.20134i	−0.00715296	+	0.0405664i	0.981022	+	0.193895i	$0.0621120\pi$
$878$	6.28603	−	5.27460i	0.212143	−	0.178009i
$879$	23.1668	+	19.4393i	0.781398	+	0.655671i
$880$	1.22281	+	6.93491i	0.0412210	+	0.233776i
$881$	−23.2515	−	40.2728i	−0.783363	−	1.35682i	−0.929972	−	0.367630i	$-0.880169\pi$
$881$	−23.2515	−	40.2728i	−0.783363	−	1.35682i	0.146609	−	0.989194i	$-0.453164\pi$
$882$	24.5194	−	42.4688i	0.825610	−	1.43000i
$883$	−12.1454	−	4.42057i	−0.408726	−	0.148764i	0.129471	−	0.991583i	$-0.458672\pi$
$883$	−12.1454	−	4.42057i	−0.408726	−	0.148764i	−0.538197	+	0.842819i	$0.680894\pi$
$884$	−0.209141	−	0.0761210i	−0.00703416	−	0.00256023i
$885$	−7.98293	+	13.8268i	−0.268343	+	0.464784i
$886$	20.1374	+	34.8791i	0.676531	+	1.17179i
$887$	4.03286	+	22.8715i	0.135410	+	0.767949i	0.974573	+	0.224069i	$0.0719342\pi$
$887$	4.03286	+	22.8715i	0.135410	+	0.767949i	−0.839163	+	0.543880i	$0.816955\pi$
$888$	32.0972	+	26.9327i	1.07711	+	0.903804i
$889$	−3.08718	+	2.59045i	−0.103541	+	0.0868810i
$890$	2.11721	−	12.0073i	0.0709691	−	0.402486i
$891$	6.52956	−	2.37657i	0.218749	−	0.0796180i
$892$	−1.57255			−0.0526528
$893$		0			0
$894$	64.2404			2.14852
$895$	−9.51337	+	3.46258i	−0.317997	+	0.115741i
$896$	0.572796	−	3.24849i	0.0191358	−	0.108524i
$897$	15.2986	−	12.8370i	0.510805	−	0.428617i
$898$	11.6109	+	9.74270i	0.387461	+	0.325118i
$899$	8.48886	+	48.1427i	0.283119	+	1.60565i
$900$	−2.06624	−	3.57883i	−0.0688746	−	0.119294i
$901$	−0.663848	+	1.14982i	−0.0221160	+	0.0383060i
$902$	−6.97906	−	2.54017i	−0.232377	−	0.0845784i
$903$	−3.66637	−	1.33445i	−0.122009	−	0.0444078i
$904$	26.0326	−	45.0897i	0.865830	−	1.49966i
$905$	3.75372	+	6.50163i	0.124778	+	0.216122i
$906$	2.93835	+	16.6642i	0.0976201	+	0.553631i
$907$	30.6393	+	25.7095i	1.01736	+	0.853669i	0.989294	−	0.145937i	$-0.0466198\pi$
$907$	30.6393	+	25.7095i	1.01736	+	0.853669i	0.0280687	+	0.999606i	$0.491064\pi$
$908$	−2.00316	+	1.68085i	−0.0664770	+	0.0557809i
$909$	−8.49747	+	48.1916i	−0.281843	+	1.59841i
$910$	0.995252	−	0.362242i	0.0329923	−	0.0120082i
$911$	18.7997			0.622863			0.311431	−	0.950269i	$-0.399192\pi$
$911$	18.7997			0.622863			0.311431	+	0.950269i	$0.399192\pi$
$912$		0			0
$913$	33.0232			1.09291
$914$	29.6129	−	10.7782i	0.979509	−	0.356512i
$915$	4.01367	−	22.7627i	0.132688	−	0.752510i
$916$	2.90664	−	2.43896i	0.0960381	−	0.0805855i
$917$	0.490915	+	0.411927i	0.0162114	+	0.0136030i
$918$	0.722096	+	4.09521i	0.0238327	+	0.135162i
$919$	−19.9158	−	34.4952i	−0.656962	−	1.13789i	−0.981398	−	0.191984i	$-0.938508\pi$
$919$	−19.9158	−	34.4952i	−0.656962	−	1.13789i	0.324436	−	0.945908i	$-0.394825\pi$
$920$	−3.48751	+	6.04055i	−0.114980	+	0.199151i
$921$	−31.6450	−	11.5178i	−1.04274	−	0.379526i
$922$	46.3671	+	16.8762i	1.52702	+	0.555790i
$923$	11.9760	−	20.7430i	0.394193	−	0.682763i
$924$	−0.205737	−	0.356347i	−0.00676825	−	0.0117230i
$925$	3.62836	+	20.5774i	0.119300	+	0.676582i
$926$	−44.3658	−	37.2273i	−1.45795	−	1.22337i
$927$	22.3314	−	18.7383i	0.733460	−	0.615446i
$928$	1.24463	−	7.05866i	0.0408571	−	0.231712i
$929$	−25.3285	+	9.21881i	−0.831000	+	0.302459i	−0.722269	−	0.691612i	$-0.756901\pi$
$929$	−25.3285	+	9.21881i	−0.831000	+	0.302459i	−0.108731	+	0.994071i	$0.534679\pi$
$930$	24.2422			0.794932
$931$		0			0
$932$	−3.26176			−0.106843
$933$	−43.1994	+	15.7233i	−1.41428	+	0.514758i
$934$	5.98839	−	33.9618i	0.195946	−	1.11127i
$935$	−0.701867	+	0.588936i	−0.0229535	+	0.0192603i
$936$	30.7085	+	25.7675i	1.00374	+	0.842236i
$937$	0.455585	+	2.58375i	0.0148833	+	0.0844074i	0.991345	−	0.131285i	$-0.0419103\pi$
$937$	0.455585	+	2.58375i	0.0148833	+	0.0844074i	−0.976461	+	0.215692i	$0.930799\pi$
$938$	1.79561	+	3.11008i	0.0586287	+	0.101548i
$939$	38.3371	−	66.4018i	1.25108	−	2.16694i
$940$	−1.11334	−	0.405223i	−0.0363132	−	0.0132169i
$941$	−17.5437	−	6.38538i	−0.571908	−	0.208158i	0.0398455	−	0.999206i	$-0.487313\pi$
$941$	−17.5437	−	6.38538i	−0.571908	−	0.208158i	−0.611754	+	0.791048i	$0.709536\pi$
$942$	18.6570	−	32.3149i	0.607879	−	1.05288i
$943$	−3.33544	−	5.77715i	−0.108617	−	0.188130i
$944$	−3.93763	−	22.3314i	−0.128159	−	0.726826i
$945$	1.54323	+	1.29493i	0.0502014	+	0.0421240i
$946$	−8.96657	+	7.52384i	−0.291528	+	0.244621i
$947$	1.45858	−	8.27201i	0.0473974	−	0.268804i	−0.951895	−	0.306425i	$-0.900867\pi$
$947$	1.45858	−	8.27201i	0.0473974	−	0.268804i	0.999292	+	0.0376214i	$0.0119781\pi$
$948$	5.92262	−	2.15566i	0.192358	−	0.0700125i
$949$	−3.57573			−0.116073
$950$		0			0
$951$	−85.0343			−2.75742
$952$	0.449493	−	0.163602i	0.0145681	−	0.00530237i
$953$	−5.85070	+	33.1810i	−0.189523	+	1.07484i	0.730483	+	0.682931i	$0.239295\pi$
$953$	−5.85070	+	33.1810i	−0.189523	+	1.07484i	−0.920005	+	0.391906i	$0.871816\pi$
$954$	15.4945	−	13.0015i	0.501654	−	0.420938i
$955$	12.3516	+	10.3643i	0.399689	+	0.335379i
$956$	−0.0754843	−	0.428092i	−0.00244134	−	0.0138455i
$957$	22.0535	+	38.1978i	0.712888	+	1.23476i
$958$	−25.7173	+	44.5438i	−0.830890	+	1.43914i
$959$	−0.0834734	−	0.0303818i	−0.00269550	−	0.000981081i
$960$	−20.4538	−	7.44459i	−0.660145	−	0.240273i
$961$	−9.74809	+	16.8842i	−0.314455	+	0.544651i
$962$	−8.57192	−	14.8470i	−0.276370	−	0.478686i
$963$	−9.40286	−	53.3262i	−0.303003	−	1.71841i
$964$	1.95361	+	1.63927i	0.0629216	+	0.0527975i
$965$	−0.200522	+	0.168258i	−0.00645505	+	0.00541643i
$966$	−0.630415	+	3.57526i	−0.0202833	+	0.115032i
$967$	−11.0351	+	4.01644i	−0.354864	+	0.129160i	−0.513300	−	0.858209i	$-0.671577\pi$
$967$	−11.0351	+	4.01644i	−0.354864	+	0.129160i	0.158436	+	0.987369i	$0.449355\pi$
$968$	17.7847			0.571621
$969$		0			0
$970$	−11.2003			−0.359619
$971$	12.0368	−	4.38105i	0.386280	−	0.140595i	−0.141578	−	0.989927i	$-0.545217\pi$
$971$	12.0368	−	4.38105i	0.386280	−	0.140595i	0.527858	+	0.849333i	$0.322995\pi$
$972$	0.346667	−	1.96605i	0.0111194	−	0.0630610i
$973$	1.13429	−	0.951778i	0.0363635	−	0.0305126i
$974$	−8.01296	−	6.72367i	−0.256752	−	0.215440i
$975$	5.43969	+	30.8500i	0.174210	+	0.987992i
$976$	16.4140	+	28.4299i	0.525399	+	0.910018i
$977$	7.26382	−	12.5813i	0.232390	−	0.402512i	−0.726121	−	0.687567i	$-0.758679\pi$
$977$	7.26382	−	12.5813i	0.232390	−	0.402512i	0.958511	+	0.285055i	$0.0920120\pi$
$978$	−30.4577	−	11.0857i	−0.973930	−	0.354481i
$979$	21.5326	+	7.83721i	0.688183	+	0.250478i
$980$	−0.558963	+	0.968153i	−0.0178554	+	0.0309265i
$981$	−4.82248	−	8.35278i	−0.153970	−	0.266684i
$982$	−8.59152	−	48.7249i	−0.274166	−	1.55487i
$983$	28.3821	+	23.8154i	0.905249	+	0.759594i	0.971209	−	0.238228i	$-0.0765665\pi$
$983$	28.3821	+	23.8154i	0.905249	+	0.759594i	−0.0659599	+	0.997822i	$0.521011\pi$
$984$	16.0737	−	13.4875i	0.512412	−	0.429965i
$985$	2.00670	−	11.3806i	0.0639388	−	0.362615i
$986$	−4.07532	+	1.48330i	−0.129785	+	0.0472378i
$987$	−7.29086			−0.232071
$988$		0			0
$989$	−10.5134			−0.334307
$990$	13.1163	−	4.77396i	0.416864	−	0.151726i
$991$	−0.595856	+	3.37927i	−0.0189280	+	0.107346i	−0.992808	−	0.119717i	$-0.961801\pi$
$991$	−0.595856	+	3.37927i	−0.0189280	+	0.107346i	0.973880	+	0.227063i	$0.0729124\pi$
$992$	5.67159	−	4.75903i	0.180073	−	0.151099i
$993$	−61.0228	−	51.2042i	−1.93650	−	1.62492i
$994$	0.756082	+	4.28795i	0.0239815	+	0.136006i
$995$	0.112874	+	0.195503i	0.00357835	+	0.00619788i
$996$	−3.94562	+	6.83402i	−0.125022	+	0.216544i
$997$	−12.0055	−	4.36965i	−0.380219	−	0.138388i	0.144838	−	0.989455i	$-0.453734\pi$
$997$	−12.0055	−	4.36965i	−0.380219	−	0.138388i	−0.525057	+	0.851067i	$0.675956\pi$
$998$	−6.23695	−	2.27006i	−0.197427	−	0.0718576i
$999$	16.3045	−	28.2403i	0.515852	−	0.893483i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	361.2.e.b.62.1		6
19.2	odd	18		361.2.a.g.1.2		3
19.3	odd	18		361.2.c.i.292.2		6
19.4	even	9	inner	361.2.e.b.99.1		6
19.5	even	9		361.2.c.h.68.2		6
19.6	even	9		361.2.e.h.28.1		6
19.7	even	3		361.2.e.h.245.1		6
19.8	odd	6		361.2.e.g.54.1		6
19.9	even	9		361.2.e.a.234.1		6
19.10	odd	18		361.2.e.g.234.1		6
19.11	even	3		361.2.e.a.54.1		6
19.12	odd	6		19.2.e.a.17.1	yes	6
19.13	odd	18		19.2.e.a.9.1	✓	6
19.14	odd	18		361.2.c.i.68.2		6
19.15	odd	18		361.2.e.f.99.1		6
19.16	even	9		361.2.c.h.292.2		6
19.17	even	9		361.2.a.h.1.2		3
19.18	odd	2		361.2.e.f.62.1		6
57.2	even	18		3249.2.a.z.1.2		3
57.17	odd	18		3249.2.a.s.1.2		3
57.32	even	18		171.2.u.c.28.1		6
57.50	even	6		171.2.u.c.55.1		6
76.31	even	6		304.2.u.b.17.1		6
76.51	even	18		304.2.u.b.161.1		6
76.55	odd	18		5776.2.a.bi.1.1		3
76.59	even	18		5776.2.a.br.1.3		3
95.12	even	12		475.2.u.a.74.1		12
95.13	even	36		475.2.u.a.199.1		12
95.32	even	36		475.2.u.a.199.2		12
95.59	odd	18		9025.2.a.bd.1.2		3
95.69	odd	6		475.2.l.a.226.1		6
95.74	even	18		9025.2.a.x.1.2		3
95.88	even	12		475.2.u.a.74.2		12
95.89	odd	18		475.2.l.a.351.1		6
133.12	even	6		931.2.v.a.606.1		6
133.13	even	18		931.2.w.a.883.1		6
133.31	even	6		931.2.x.b.226.1		6
133.32	odd	18		931.2.v.b.275.1		6
133.51	odd	18		931.2.x.a.655.1		6
133.69	even	6		931.2.w.a.834.1		6
133.88	odd	6		931.2.x.a.226.1		6
133.89	even	18		931.2.x.b.655.1		6
133.107	odd	6		931.2.v.b.606.1		6
133.108	even	18		931.2.v.a.275.1		6

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
19.2.e.a.9.1	✓	6	19.13	odd	18
19.2.e.a.17.1	yes	6	19.12	odd	6
171.2.u.c.28.1		6	57.32	even	18
171.2.u.c.55.1		6	57.50	even	6
304.2.u.b.17.1		6	76.31	even	6
304.2.u.b.161.1		6	76.51	even	18
361.2.a.g.1.2		3	19.2	odd	18
361.2.a.h.1.2		3	19.17	even	9
361.2.c.h.68.2		6	19.5	even	9
361.2.c.h.292.2		6	19.16	even	9
361.2.c.i.68.2		6	19.14	odd	18
361.2.c.i.292.2		6	19.3	odd	18
361.2.e.a.54.1		6	19.11	even	3
361.2.e.a.234.1		6	19.9	even	9
361.2.e.b.62.1		6	1.1	even	1	trivial
361.2.e.b.99.1		6	19.4	even	9	inner
361.2.e.f.62.1		6	19.18	odd	2
361.2.e.f.99.1		6	19.15	odd	18
361.2.e.g.54.1		6	19.8	odd	6
361.2.e.g.234.1		6	19.10	odd	18
361.2.e.h.28.1		6	19.6	even	9
361.2.e.h.245.1		6	19.7	even	3
475.2.l.a.226.1		6	95.69	odd	6
475.2.l.a.351.1		6	95.89	odd	18
475.2.u.a.74.1		12	95.12	even	12
475.2.u.a.74.2		12	95.88	even	12
475.2.u.a.199.1		12	95.13	even	36
475.2.u.a.199.2		12	95.32	even	36
931.2.v.a.275.1		6	133.108	even	18
931.2.v.a.606.1		6	133.12	even	6
931.2.v.b.275.1		6	133.32	odd	18
931.2.v.b.606.1		6	133.107	odd	6
931.2.w.a.834.1		6	133.69	even	6
931.2.w.a.883.1		6	133.13	even	18
931.2.x.a.226.1		6	133.88	odd	6
931.2.x.a.655.1		6	133.51	odd	18
931.2.x.b.226.1		6	133.31	even	6
931.2.x.b.655.1		6	133.89	even	18
3249.2.a.s.1.2		3	57.17	odd	18
3249.2.a.z.1.2		3	57.2	even	18
5776.2.a.bi.1.1		3	76.55	odd	18
5776.2.a.br.1.3		3	76.59	even	18
9025.2.a.x.1.2		3	95.74	even	18
9025.2.a.bd.1.2		3	95.59	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:	\( N \)	\(=\)	\( 361 = 19^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	361.e (of order \(9\), degree \(6\), not minimal)

\(f(q)\)	\(=\)	\(q+(-1.26604 + 0.460802i) q^{2} +(0.500000 - 2.83564i) q^{3} +(-0.141559 + 0.118782i) q^{4} +(0.673648 + 0.565258i) q^{5} +(0.673648 + 3.82045i) q^{6} +(-0.173648 - 0.300767i) q^{7} +(1.47178 - 2.54920i) q^{8} +(-4.97178 - 1.80958i) q^{9} +O(q^{10})\)	\(q+(-1.26604 + 0.460802i) q^{2} +(0.500000 - 2.83564i) q^{3} +(-0.141559 + 0.118782i) q^{4} +(0.673648 + 0.565258i) q^{5} +(0.673648 + 3.82045i) q^{6} +(-0.173648 - 0.300767i) q^{7} +(1.47178 - 2.54920i) q^{8} +(-4.97178 - 1.80958i) q^{9} +(-1.11334 - 0.405223i) q^{10} +(1.11334 - 1.92836i) q^{11} +(0.266044 + 0.460802i) q^{12} +(-0.446967 - 2.53487i) q^{13} +(0.358441 + 0.300767i) q^{14} +(1.93969 - 1.62760i) q^{15} +(-0.624485 + 3.54163i) q^{16} +(-0.439693 + 0.160035i) q^{17} +7.12836 q^{18} -0.162504 q^{20} +(-0.939693 + 0.342020i) q^{21} +(-0.520945 + 2.95442i) q^{22} +(-2.06418 + 1.73205i) q^{23} +(-6.49273 - 5.44804i) q^{24} +(-0.733956 - 4.16247i) q^{25} +(1.73396 + 3.00330i) q^{26} +(-3.29813 + 5.71253i) q^{27} +(0.0603074 + 0.0219501i) q^{28} +(-6.46451 - 2.35289i) q^{29} +(-1.70574 + 2.95442i) q^{30} +(-3.55303 - 6.15403i) q^{31} +(0.180922 + 1.02606i) q^{32} +(-4.91147 - 4.12122i) q^{33} +(0.482926 - 0.405223i) q^{34} +(0.0530334 - 0.300767i) q^{35} +(0.918748 - 0.334397i) q^{36} -4.94356 q^{37} -7.41147 q^{39} +(2.43242 - 0.885328i) q^{40} +(-0.429892 + 2.43804i) q^{41} +(1.03209 - 0.866025i) q^{42} +(2.98886 + 2.50795i) q^{43} +(0.0714517 + 0.405223i) q^{44} +(-2.32635 - 4.02936i) q^{45} +(1.81521 - 3.14403i) q^{46} +(6.85117 + 2.49362i) q^{47} +(9.73055 + 3.54163i) q^{48} +(3.43969 - 5.95772i) q^{49} +(2.84730 + 4.93166i) q^{50} +(0.233956 + 1.32683i) q^{51} +(0.364370 + 0.305743i) q^{52} +(2.17365 - 1.82391i) q^{53} +(1.54323 - 8.75211i) q^{54} +(1.84002 - 0.669713i) q^{55} -1.02229 q^{56} +9.26857 q^{58} +(-5.92514 + 2.15658i) q^{59} +(-0.0812519 + 0.460802i) q^{60} +(6.99273 - 5.86759i) q^{61} +(7.33409 + 6.15403i) q^{62} +(0.319078 + 1.80958i) q^{63} +(-4.29813 - 7.44459i) q^{64} +(1.13176 - 1.96026i) q^{65} +(8.11721 + 2.95442i) q^{66} +(7.21213 + 2.62500i) q^{67} +(0.0432332 - 0.0748822i) q^{68} +(3.87939 + 6.71929i) q^{69} +(0.0714517 + 0.405223i) q^{70} +(7.12836 + 5.98140i) q^{71} +(-11.9304 + 10.0108i) q^{72} +(0.241230 - 1.36808i) q^{73} +(6.25877 - 2.27801i) q^{74} -12.1702 q^{75} -0.773318 q^{77} +(9.38326 - 3.41523i) q^{78} +(2.05690 - 11.6653i) q^{79} +(-2.42262 + 2.03282i) q^{80} +(2.39053 + 2.00589i) q^{81} +(-0.579193 - 3.28476i) q^{82} +(7.41534 + 12.8438i) q^{83} +(0.0923963 - 0.160035i) q^{84} +(-0.386659 - 0.140732i) q^{85} +(-4.93969 - 1.79790i) q^{86} +(-9.90420 + 17.1546i) q^{87} +(-3.27719 - 5.67626i) q^{88} +(1.78699 + 10.1345i) q^{89} +(4.80200 + 4.02936i) q^{90} +(-0.684793 + 0.574609i) q^{91} +(0.0864665 - 0.490376i) q^{92} +(-19.2271 + 6.99811i) q^{93} -9.82295 q^{94} +3.00000 q^{96} +(8.88326 - 3.23324i) q^{97} +(-1.60947 + 9.12776i) q^{98} +(-9.02481 + 7.57272i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 6 q - 3 q^{2} + 3 q^{3} - 9 q^{4} + 3 q^{5} + 3 q^{6} - 6 q^{8} - 15 q^{9}+O(q^{10}) \) 6 * q - 3 * q^2 + 3 * q^3 - 9 * q^4 + 3 * q^5 + 3 * q^6 - 6 * q^8 - 15 * q^9	\( 6 q - 3 q^{2} + 3 q^{3} - 9 q^{4} + 3 q^{5} + 3 q^{6} - 6 q^{8} - 15 q^{9} - 3 q^{12} - 15 q^{13} - 6 q^{14} + 6 q^{15} + 9 q^{16} + 3 q^{17} + 6 q^{18} - 6 q^{20} + 6 q^{23} - 21 q^{24} - 9 q^{25} + 15 q^{26} - 6 q^{27} + 6 q^{28} - 6 q^{29} - 9 q^{31} + 18 q^{32} - 9 q^{33} - 18 q^{34} - 12 q^{35} + 3 q^{36} - 24 q^{39} - 9 q^{40} + 6 q^{41} - 3 q^{42} + 24 q^{43} - 15 q^{45} + 18 q^{46} + 15 q^{47} + 21 q^{48} + 15 q^{49} + 15 q^{50} + 6 q^{51} + 21 q^{52} + 12 q^{53} - 6 q^{54} - 9 q^{55} + 6 q^{56} + 36 q^{58} + 6 q^{59} - 3 q^{60} + 24 q^{61} - 3 q^{62} - 15 q^{63} - 12 q^{64} + 12 q^{65} + 18 q^{66} - 6 q^{67} - 15 q^{68} + 12 q^{69} + 6 q^{71} + 3 q^{72} + 24 q^{73} + 15 q^{74} - 30 q^{75} - 18 q^{77} + 21 q^{78} - 24 q^{79} + 12 q^{80} - 3 q^{81} + 45 q^{82} - 3 q^{84} - 9 q^{85} - 24 q^{86} - 21 q^{87} - 9 q^{88} + 3 q^{89} - 9 q^{90} + 3 q^{91} - 30 q^{92} - 36 q^{93} - 18 q^{94} + 18 q^{96} + 18 q^{97} - 27 q^{98} - 27 q^{99}+O(q^{100}) \) 6 * q - 3 * q^2 + 3 * q^3 - 9 * q^4 + 3 * q^5 + 3 * q^6 - 6 * q^8 - 15 * q^9 - 3 * q^12 - 15 * q^13 - 6 * q^14 + 6 * q^15 + 9 * q^16 + 3 * q^17 + 6 * q^18 - 6 * q^20 + 6 * q^23 - 21 * q^24 - 9 * q^25 + 15 * q^26 - 6 * q^27 + 6 * q^28 - 6 * q^29 - 9 * q^31 + 18 * q^32 - 9 * q^33 - 18 * q^34 - 12 * q^35 + 3 * q^36 - 24 * q^39 - 9 * q^40 + 6 * q^41 - 3 * q^42 + 24 * q^43 - 15 * q^45 + 18 * q^46 + 15 * q^47 + 21 * q^48 + 15 * q^49 + 15 * q^50 + 6 * q^51 + 21 * q^52 + 12 * q^53 - 6 * q^54 - 9 * q^55 + 6 * q^56 + 36 * q^58 + 6 * q^59 - 3 * q^60 + 24 * q^61 - 3 * q^62 - 15 * q^63 - 12 * q^64 + 12 * q^65 + 18 * q^66 - 6 * q^67 - 15 * q^68 + 12 * q^69 + 6 * q^71 + 3 * q^72 + 24 * q^73 + 15 * q^74 - 30 * q^75 - 18 * q^77 + 21 * q^78 - 24 * q^79 + 12 * q^80 - 3 * q^81 + 45 * q^82 - 3 * q^84 - 9 * q^85 - 24 * q^86 - 21 * q^87 - 9 * q^88 + 3 * q^89 - 9 * q^90 + 3 * q^91 - 30 * q^92 - 36 * q^93 - 18 * q^94 + 18 * q^96 + 18 * q^97 - 27 * q^98 - 27 * q^99

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