LMFDB - Embedded newform 722.2.e.m.99.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [722,2,Mod(99,722)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(722, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([2]))

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

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

chi := DirichletCharacter("722.99");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 722 = 2 \cdot 19^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	722.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:	$5.76519902594$
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:	$\Z[a_1, a_2]$
Coefficient ring index:	$ 1 $
Twist minimal:	no (minimal twist has level 38)
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			99.1
Root			$-0.173648 - 0.984808i$ of defining polynomial
Character	$\chi$	$=$	722.99
Dual form			722.2.e.m.423.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.939693 - 0.342020i) q^{2} +(0.0603074 + 0.342020i) q^{3} +(0.766044 + 0.642788i) q^{4} +(1.53209 - 1.28558i) q^{5} +(0.0603074 - 0.342020i) q^{6} +(0.879385 - 1.52314i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(2.70574 - 0.984808i) q^{9} +O(q^{10})$	\(q+(-0.939693 - 0.342020i) q^{2} +(0.0603074 + 0.342020i) q^{3} +(0.766044 + 0.642788i) q^{4} +(1.53209 - 1.28558i) q^{5} +(0.0603074 - 0.342020i) q^{6} +(0.879385 - 1.52314i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(2.70574 - 0.984808i) q^{9} +(-1.87939 + 0.684040i) q^{10} +(-2.11334 - 3.66041i) q^{11} +(-0.173648 + 0.300767i) q^{12} +(0.184793 - 1.04801i) q^{13} +(-1.34730 + 1.13052i) q^{14} +(0.532089 + 0.446476i) q^{15} +(0.173648 + 0.984808i) q^{16} +(-6.69846 - 2.43804i) q^{17} -2.87939 q^{18} +2.00000 q^{20} +(0.573978 + 0.208911i) q^{21} +(0.733956 + 4.16247i) q^{22} +(2.87939 + 2.41609i) q^{23} +(0.266044 - 0.223238i) q^{24} +(-0.173648 + 0.984808i) q^{25} +(-0.532089 + 0.921605i) q^{26} +(1.02094 + 1.76833i) q^{27} +(1.65270 - 0.601535i) q^{28} +(-5.98545 + 2.17853i) q^{29} +(-0.347296 - 0.601535i) q^{30} +(4.41147 - 7.64090i) q^{31} +(0.173648 - 0.984808i) q^{32} +(1.12449 - 0.943555i) q^{33} +(5.46064 + 4.58202i) q^{34} +(-0.610815 - 3.46410i) q^{35} +(2.70574 + 0.984808i) q^{36} -6.45336 q^{37} +0.369585 q^{39} +(-1.87939 - 0.684040i) q^{40} +(0.326352 + 1.85083i) q^{41} +(-0.467911 - 0.392624i) q^{42} +(2.83022 - 2.37484i) q^{43} +(0.733956 - 4.16247i) q^{44} +(2.87939 - 4.98724i) q^{45} +(-1.87939 - 3.25519i) q^{46} +(3.45336 - 1.25692i) q^{47} +(-0.326352 + 0.118782i) q^{48} +(1.95336 + 3.38332i) q^{49} +(0.500000 - 0.866025i) q^{50} +(0.429892 - 2.43804i) q^{51} +(0.815207 - 0.684040i) q^{52} +(-7.57398 - 6.35532i) q^{53} +(-0.354570 - 2.01087i) q^{54} +(-7.94356 - 2.89122i) q^{55} -1.75877 q^{56} +6.36959 q^{58} +(6.85117 + 2.49362i) q^{59} +(0.120615 + 0.684040i) q^{60} +(4.06418 + 3.41025i) q^{61} +(-6.75877 + 5.67128i) q^{62} +(0.879385 - 4.98724i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-1.06418 - 1.84321i) q^{65} +(-1.37939 + 0.502055i) q^{66} +(10.9363 - 3.98048i) q^{67} +(-3.56418 - 6.17334i) q^{68} +(-0.652704 + 1.13052i) q^{69} +(-0.610815 + 3.46410i) q^{70} +(2.16250 - 1.81456i) q^{71} +(-2.20574 - 1.85083i) q^{72} +(0.137689 + 0.780873i) q^{73} +(6.06418 + 2.20718i) q^{74} -0.347296 q^{75} -7.43376 q^{77} +(-0.347296 - 0.126406i) q^{78} +(-1.16250 - 6.59289i) q^{79} +(1.53209 + 1.28558i) q^{80} +(6.07398 - 5.09667i) q^{81} +(0.326352 - 1.85083i) q^{82} +(-0.754900 + 1.30753i) q^{83} +(0.305407 + 0.528981i) q^{84} +(-13.3969 + 4.87608i) q^{85} +(-3.47178 + 1.26363i) q^{86} +(-1.10607 - 1.91576i) q^{87} +(-2.11334 + 3.66041i) q^{88} +(2.06758 - 11.7258i) q^{89} +(-4.41147 + 3.70167i) q^{90} +(-1.43376 - 1.20307i) q^{91} +(0.652704 + 3.70167i) q^{92} +(2.87939 + 1.04801i) q^{93} -3.67499 q^{94} +0.347296 q^{96} +(-1.76604 - 0.642788i) q^{97} +(-0.678396 - 3.84737i) q^{98} +(-9.32295 - 7.82288i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 6 q + 6 q^{3} + 6 q^{6} - 6 q^{7} - 3 q^{8} + 6 q^{9}+O(q^{10}) $ 6 * q + 6 * q^3 + 6 * q^6 - 6 * q^7 - 3 * q^8 + 6 * q^9	$ 6 q + 6 q^{3} + 6 q^{6} - 6 q^{7} - 3 q^{8} + 6 q^{9} - 6 q^{11} - 6 q^{13} - 6 q^{14} - 6 q^{15} - 12 q^{17} - 6 q^{18} + 12 q^{20} - 12 q^{21} + 9 q^{22} + 6 q^{23} - 3 q^{24} + 6 q^{26} + 3 q^{27} + 12 q^{28} + 6 q^{31} - 6 q^{33} + 24 q^{34} - 12 q^{35} + 6 q^{36} - 12 q^{37} - 12 q^{39} + 3 q^{41} - 12 q^{42} - 6 q^{43} + 9 q^{44} + 6 q^{45} - 6 q^{47} - 3 q^{48} - 15 q^{49} + 3 q^{50} - 6 q^{51} + 12 q^{52} - 30 q^{53} - 18 q^{54} - 18 q^{55} + 12 q^{56} + 24 q^{58} + 15 q^{59} + 12 q^{60} + 6 q^{61} - 18 q^{62} - 6 q^{63} - 3 q^{64} + 12 q^{65} + 3 q^{66} + 18 q^{67} - 3 q^{68} - 6 q^{69} - 12 q^{70} + 18 q^{71} - 3 q^{72} + 33 q^{73} + 18 q^{74} - 12 q^{77} - 12 q^{79} + 21 q^{81} + 3 q^{82} - 6 q^{83} + 6 q^{84} - 24 q^{85} - 6 q^{86} + 18 q^{87} - 6 q^{88} + 36 q^{89} - 6 q^{90} + 24 q^{91} + 6 q^{92} + 6 q^{93} - 12 q^{94} - 6 q^{97} - 36 q^{98} - 15 q^{99}+O(q^{100}) $ 6 * q + 6 * q^3 + 6 * q^6 - 6 * q^7 - 3 * q^8 + 6 * q^9 - 6 * q^11 - 6 * q^13 - 6 * q^14 - 6 * q^15 - 12 * q^17 - 6 * q^18 + 12 * q^20 - 12 * q^21 + 9 * q^22 + 6 * q^23 - 3 * q^24 + 6 * q^26 + 3 * q^27 + 12 * q^28 + 6 * q^31 - 6 * q^33 + 24 * q^34 - 12 * q^35 + 6 * q^36 - 12 * q^37 - 12 * q^39 + 3 * q^41 - 12 * q^42 - 6 * q^43 + 9 * q^44 + 6 * q^45 - 6 * q^47 - 3 * q^48 - 15 * q^49 + 3 * q^50 - 6 * q^51 + 12 * q^52 - 30 * q^53 - 18 * q^54 - 18 * q^55 + 12 * q^56 + 24 * q^58 + 15 * q^59 + 12 * q^60 + 6 * q^61 - 18 * q^62 - 6 * q^63 - 3 * q^64 + 12 * q^65 + 3 * q^66 + 18 * q^67 - 3 * q^68 - 6 * q^69 - 12 * q^70 + 18 * q^71 - 3 * q^72 + 33 * q^73 + 18 * q^74 - 12 * q^77 - 12 * q^79 + 21 * q^81 + 3 * q^82 - 6 * q^83 + 6 * q^84 - 24 * q^85 - 6 * q^86 + 18 * q^87 - 6 * q^88 + 36 * q^89 - 6 * q^90 + 24 * q^91 + 6 * q^92 + 6 * q^93 - 12 * q^94 - 6 * q^97 - 36 * q^98 - 15 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/722\mathbb{Z}\right)^\times$.

$n$	$363$
$\chi(n)$	$e\left(\frac{1}{9}\right)$

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 $

$2$	−0.939693	−	0.342020i	−0.664463	−	0.241845i
$2$	−0.939693	−	0.342020i	−0.664463	−	0.241845i
$3$	0.0603074	+	0.342020i	0.0348185	+	0.197465i	0.997255	−	0.0740406i	$-0.0235894\pi$
$3$	0.0603074	+	0.342020i	0.0348185	+	0.197465i	−0.962437	+	0.271506i	$0.912478\pi$
$4$	0.766044	+	0.642788i	0.383022	+	0.321394i
$5$	1.53209	−	1.28558i	0.685171	−	0.574927i	−0.232341	−	0.972634i	$-0.574639\pi$
$5$	1.53209	−	1.28558i	0.685171	−	0.574927i	0.917512	+	0.397708i	$0.130194\pi$
$6$	0.0603074	−	0.342020i	0.0246204	−	0.139629i
$7$	0.879385	−	1.52314i	0.332376	−	0.575693i	−0.650601	−	0.759420i	$-0.725483\pi$
$7$	0.879385	−	1.52314i	0.332376	−	0.575693i	0.982977	+	0.183727i	$0.0588162\pi$
$8$	−0.500000	−	0.866025i	−0.176777	−	0.306186i
$9$	2.70574	−	0.984808i	0.901912	−	0.328269i
$10$	−1.87939	+	0.684040i	−0.594314	+	0.216313i
$11$	−2.11334	−	3.66041i	−0.637196	−	1.10366i	−0.986045	−	0.166477i	$-0.946761\pi$
$11$	−2.11334	−	3.66041i	−0.637196	−	1.10366i	0.348849	−	0.937179i	$-0.386573\pi$
$12$	−0.173648	+	0.300767i	−0.0501279	+	0.0868241i
$13$	0.184793	−	1.04801i	0.0512522	−	0.290666i	−0.948399	−	0.317080i	$-0.897298\pi$
$13$	0.184793	−	1.04801i	0.0512522	−	0.290666i	0.999651	+	0.0264140i	$0.00840881\pi$
$14$	−1.34730	+	1.13052i	−0.360080	+	0.302143i
$15$	0.532089	+	0.446476i	0.137385	+	0.115280i
$16$	0.173648	+	0.984808i	0.0434120	+	0.246202i
$17$	−6.69846	−	2.43804i	−1.62462	−	0.591312i	−0.640362	−	0.768073i	$-0.721216\pi$
$17$	−6.69846	−	2.43804i	−1.62462	−	0.591312i	−0.984254	+	0.176761i	$0.943438\pi$
$18$	−2.87939			−0.678678
$19$		0			0
$19$		0			0
$20$	2.00000			0.447214
$21$	0.573978	+	0.208911i	0.125252	+	0.0455881i
$22$	0.733956	+	4.16247i	0.156480	+	0.887441i
$23$	2.87939	+	2.41609i	0.600393	+	0.503790i	0.891572	−	0.452879i	$-0.149603\pi$
$23$	2.87939	+	2.41609i	0.600393	+	0.503790i	−0.291179	+	0.956669i	$0.594047\pi$
$24$	0.266044	−	0.223238i	0.0543061	−	0.0455682i
$25$	−0.173648	+	0.984808i	−0.0347296	+	0.196962i
$26$	−0.532089	+	0.921605i	−0.104351	+	0.180742i
$27$	1.02094	+	1.76833i	0.196481	+	0.340315i
$28$	1.65270	−	0.601535i	0.312332	−	0.113679i
$29$	−5.98545	+	2.17853i	−1.11147	+	0.404542i	−0.831533	−	0.555476i	$-0.812536\pi$
$29$	−5.98545	+	2.17853i	−1.11147	+	0.404542i	−0.279938	+	0.960018i	$0.590314\pi$
$30$	−0.347296	−	0.601535i	−0.0634073	−	0.109825i
$31$	4.41147	−	7.64090i	0.792324	−	1.37235i	−0.132200	−	0.991223i	$-0.542204\pi$
$31$	4.41147	−	7.64090i	0.792324	−	1.37235i	0.924524	−	0.381123i	$-0.124462\pi$
$32$	0.173648	−	0.984808i	0.0306970	−	0.174091i
$33$	1.12449	−	0.943555i	0.195748	−	0.164252i
$34$	5.46064	+	4.58202i	0.936492	+	0.785810i
$35$	−0.610815	−	3.46410i	−0.103247	−	0.585540i
$36$	2.70574	+	0.984808i	0.450956	+	0.164135i
$37$	−6.45336			−1.06093			−0.530463	−	0.847708i	$-0.677982\pi$
$37$	−6.45336			−1.06093			−0.530463	+	0.847708i	$0.677982\pi$
$38$		0			0
$39$	0.369585			0.0591810
$40$	−1.87939	−	0.684040i	−0.297157	−	0.108156i
$41$	0.326352	+	1.85083i	0.0509676	+	0.289052i	0.999629	−	0.0272423i	$-0.00867256\pi$
$41$	0.326352	+	1.85083i	0.0509676	+	0.289052i	−0.948661	+	0.316294i	$0.897561\pi$
$42$	−0.467911	−	0.392624i	−0.0722003	−	0.0605832i
$43$	2.83022	−	2.37484i	0.431605	−	0.362159i	−0.400952	−	0.916099i	$-0.631321\pi$
$43$	2.83022	−	2.37484i	0.431605	−	0.362159i	0.832557	+	0.553940i	$0.186876\pi$
$44$	0.733956	−	4.16247i	0.110648	−	0.627516i
$45$	2.87939	−	4.98724i	0.429233	−	0.743454i
$46$	−1.87939	−	3.25519i	−0.277100	−	0.479952i
$47$	3.45336	−	1.25692i	0.503725	−	0.183341i	−0.0776438	−	0.996981i	$-0.524740\pi$
$47$	3.45336	−	1.25692i	0.503725	−	0.183341i	0.581369	+	0.813640i	$0.302517\pi$
$48$	−0.326352	+	0.118782i	−0.0471048	+	0.0171448i
$49$	1.95336	+	3.38332i	0.279052	+	0.483332i
$50$	0.500000	−	0.866025i	0.0707107	−	0.122474i
$51$	0.429892	−	2.43804i	0.0601970	−	0.341394i
$52$	0.815207	−	0.684040i	0.113049	−	0.0948593i
$53$	−7.57398	−	6.35532i	−1.04037	−	0.872971i	−0.0483180	−	0.998832i	$-0.515386\pi$
$53$	−7.57398	−	6.35532i	−1.04037	−	0.872971i	−0.992048	+	0.125861i	$0.959831\pi$
$54$	−0.354570	−	2.01087i	−0.0482509	−	0.273644i
$55$	−7.94356	−	2.89122i	−1.07111	−	0.389852i
$56$	−1.75877			−0.235026
$57$		0			0
$58$	6.36959			0.836367
$59$	6.85117	+	2.49362i	0.891946	+	0.324642i	0.747021	−	0.664801i	$-0.231484\pi$
$59$	6.85117	+	2.49362i	0.891946	+	0.324642i	0.144925	+	0.989443i	$0.453706\pi$
$60$	0.120615	+	0.684040i	0.0155713	+	0.0883092i
$61$	4.06418	+	3.41025i	0.520365	+	0.436638i	0.864759	−	0.502187i	$-0.167471\pi$
$61$	4.06418	+	3.41025i	0.520365	+	0.436638i	−0.344394	+	0.938825i	$0.611916\pi$
$62$	−6.75877	+	5.67128i	−0.858365	+	0.720254i
$63$	0.879385	−	4.98724i	0.110792	−	0.628333i
$64$	−0.500000	+	0.866025i	−0.0625000	+	0.108253i
$65$	−1.06418	−	1.84321i	−0.131995	−	0.228622i
$66$	−1.37939	+	0.502055i	−0.169791	+	0.0617987i
$67$	10.9363	−	3.98048i	1.33608	−	0.486293i	0.427504	−	0.904013i	$-0.359393\pi$
$67$	10.9363	−	3.98048i	1.33608	−	0.486293i	0.908576	+	0.417720i	$0.137171\pi$
$68$	−3.56418	−	6.17334i	−0.432220	−	0.748627i
$69$	−0.652704	+	1.13052i	−0.0785763	+	0.136098i
$70$	−0.610815	+	3.46410i	−0.0730063	+	0.414039i
$71$	2.16250	−	1.81456i	0.256642	−	0.215348i	−0.505384	−	0.862894i	$-0.668649\pi$
$71$	2.16250	−	1.81456i	0.256642	−	0.215348i	0.762026	+	0.647546i	$0.224205\pi$
$72$	−2.20574	−	1.85083i	−0.259949	−	0.218123i
$73$	0.137689	+	0.780873i	0.0161153	+	0.0913942i	0.991805	−	0.127764i	$-0.0407800\pi$
$73$	0.137689	+	0.780873i	0.0161153	+	0.0913942i	−0.975689	+	0.219158i	$0.929669\pi$
$74$	6.06418	+	2.20718i	0.704946	+	0.256579i
$75$	−0.347296			−0.0401023
$76$		0			0
$77$	−7.43376			−0.847156
$78$	−0.347296	−	0.126406i	−0.0393236	−	0.0143126i
$79$	−1.16250	−	6.59289i	−0.130792	−	0.741758i	−0.977698	−	0.210015i	$-0.932649\pi$
$79$	−1.16250	−	6.59289i	−0.130792	−	0.741758i	0.846906	−	0.531742i	$-0.178463\pi$
$80$	1.53209	+	1.28558i	0.171293	+	0.143732i
$81$	6.07398	−	5.09667i	0.674886	−	0.566297i
$82$	0.326352	−	1.85083i	0.0360395	−	0.204390i
$83$	−0.754900	+	1.30753i	−0.0828610	+	0.143520i	−0.904478	−	0.426521i	$-0.859739\pi$
$83$	−0.754900	+	1.30753i	−0.0828610	+	0.143520i	0.821617	+	0.570040i	$0.193072\pi$
$84$	0.305407	+	0.528981i	0.0333227	+	0.0577166i
$85$	−13.3969	+	4.87608i	−1.45310	+	0.528885i
$86$	−3.47178	+	1.26363i	−0.374372	+	0.136260i
$87$	−1.10607	−	1.91576i	−0.118583	−	0.205391i
$88$	−2.11334	+	3.66041i	−0.225283	+	0.390201i
$89$	2.06758	−	11.7258i	0.219163	−	1.24294i	−0.654371	−	0.756174i	$-0.727067\pi$
$89$	2.06758	−	11.7258i	0.219163	−	1.24294i	0.873534	−	0.486763i	$-0.161822\pi$
$90$	−4.41147	+	3.70167i	−0.465010	+	0.390190i
$91$	−1.43376	−	1.20307i	−0.150299	−	0.126116i
$92$	0.652704	+	3.70167i	0.0680491	+	0.385925i
$93$	2.87939	+	1.04801i	0.298578	+	0.108674i
$94$	−3.67499			−0.379047
$95$		0			0
$96$	0.347296			0.0354458
$97$	−1.76604	−	0.642788i	−0.179315	−	0.0652652i	0.250803	−	0.968038i	$-0.419306\pi$
$97$	−1.76604	−	0.642788i	−0.179315	−	0.0652652i	−0.430117	+	0.902773i	$0.641528\pi$
$98$	−0.678396	−	3.84737i	−0.0685283	−	0.388644i
$99$	−9.32295	−	7.82288i	−0.936992	−	0.786229i
$100$	−0.766044	+	0.642788i	−0.0766044	+	0.0642788i
$101$	−0.426022	+	2.41609i	−0.0423908	+	0.240410i	−0.998640	−	0.0521448i	$-0.983394\pi$
$101$	−0.426022	+	2.41609i	−0.0423908	+	0.240410i	0.956249	+	0.292555i	$0.0945054\pi$
$102$	−1.23783	+	2.14398i	−0.122563	+	0.212285i
$103$	3.71688	+	6.43783i	0.366235	+	0.634338i	0.988974	−	0.148092i	$-0.0473132\pi$
$103$	3.71688	+	6.43783i	0.366235	+	0.634338i	−0.622738	+	0.782430i	$0.713980\pi$
$104$	−1.00000	+	0.363970i	−0.0980581	+	0.0356902i
$105$	1.14796	−	0.417822i	0.112029	−	0.0407752i
$106$	4.94356	+	8.56250i	0.480161	+	0.831664i
$107$	0.0885259	−	0.153331i	0.00855812	−	0.0148231i	−0.861715	−	0.507393i	$-0.830609\pi$
$107$	0.0885259	−	0.153331i	0.00855812	−	0.0148231i	0.870273	+	0.492570i	$0.163942\pi$
$108$	−0.354570	+	2.01087i	−0.0341185	+	0.193496i
$109$	3.24897	−	2.72621i	0.311195	−	0.261124i	−0.473791	−	0.880637i	$-0.657115\pi$
$109$	3.24897	−	2.72621i	0.311195	−	0.261124i	0.784986	+	0.619514i	$0.212670\pi$
$110$	6.47565	+	5.43372i	0.617429	+	0.518085i
$111$	−0.389185	−	2.20718i	−0.0369398	−	0.209496i
$112$	1.65270	+	0.601535i	0.156166	+	0.0568397i
$113$	10.4388			0.982001			0.491001	−	0.871159i	$-0.336631\pi$
$113$	10.4388			0.982001			0.491001	+	0.871159i	$0.336631\pi$
$114$		0			0
$115$	7.51754			0.701014
$116$	−5.98545	−	2.17853i	−0.555735	−	0.202271i
$117$	−0.532089	−	3.01763i	−0.0491916	−	0.278980i
$118$	−5.58512	−	4.68647i	−0.514152	−	0.431425i
$119$	−9.60401	+	8.05872i	−0.880398	+	0.738742i
$120$	0.120615	−	0.684040i	0.0110106	−	0.0624440i
$121$	−3.43242	+	5.94512i	−0.312038	+	0.540466i
$122$	−2.65270	−	4.59462i	−0.240165	−	0.415977i
$123$	−0.613341	+	0.223238i	−0.0553031	+	0.0201287i
$124$	8.29086	−	3.01763i	0.744541	−	0.270991i
$125$	6.00000	+	10.3923i	0.536656	+	0.929516i
$126$	−2.53209	+	4.38571i	−0.225576	+	0.390710i
$127$	−3.82295	+	21.6810i	−0.339232	+	1.92388i	0.0413783	+	0.999144i	$0.486825\pi$
$127$	−3.82295	+	21.6810i	−0.339232	+	1.92388i	−0.380610	+	0.924736i	$0.624286\pi$
$128$	0.766044	−	0.642788i	0.0677094	−	0.0568149i
$129$	0.982926	+	0.824773i	0.0865418	+	0.0726172i
$130$	0.369585	+	2.09602i	0.0324148	+	0.183833i
$131$	7.19119	+	2.61738i	0.628297	+	0.228681i	0.636490	−	0.771285i	$-0.280386\pi$
$131$	7.19119	+	2.61738i	0.628297	+	0.228681i	−0.00819284	+	0.999966i	$0.502608\pi$
$132$	1.46791			0.127765
$133$		0			0
$134$	−11.6382			−1.00538
$135$	3.83750	+	1.39673i	0.330279	+	0.120212i
$136$	1.23783	+	7.02006i	0.106143	+	0.601965i
$137$	−4.39440	−	3.68734i	−0.375439	−	0.315031i	0.435470	−	0.900203i	$-0.356582\pi$
$137$	−4.39440	−	3.68734i	−0.375439	−	0.315031i	−0.810909	+	0.585173i	$0.801027\pi$
$138$	1.00000	−	0.839100i	0.0851257	−	0.0714289i
$139$	−3.36824	+	19.1022i	−0.285690	+	1.62023i	0.417118	+	0.908852i	$0.363040\pi$
$139$	−3.36824	+	19.1022i	−0.285690	+	1.62023i	−0.702809	+	0.711379i	$0.748071\pi$
$140$	1.75877	−	3.04628i	0.148643	−	0.257458i
$141$	0.638156	+	1.10532i	0.0537424	+	0.0930846i
$142$	−2.65270	+	0.965505i	−0.222610	+	0.0810234i
$143$	−4.22668	+	1.53839i	−0.353453	+	0.128646i
$144$	1.43969	+	2.49362i	0.119974	+	0.207802i
$145$	−6.36959	+	11.0324i	−0.528965	+	0.916195i
$146$	0.137689	−	0.780873i	0.0113952	−	0.0646255i
$147$	−1.03936	+	0.872129i	−0.0857252	+	0.0719320i
$148$	−4.94356	−	4.14814i	−0.406358	−	0.340975i
$149$	−0.898986	−	5.09840i	−0.0736478	−	0.417677i	−0.999234	−	0.0391398i	$-0.987538\pi$
$149$	−0.898986	−	5.09840i	−0.0736478	−	0.417677i	0.925586	−	0.378537i	$-0.123573\pi$
$150$	0.326352	+	0.118782i	0.0266465	+	0.00969854i
$151$	22.1830			1.80523			0.902615	−	0.430449i	$-0.141645\pi$
$151$	22.1830			1.80523			0.902615	+	0.430449i	$0.141645\pi$
$152$		0			0
$153$	−20.5253			−1.65937
$154$	6.98545	+	2.54250i	0.562904	+	0.204880i
$155$	−3.06418	−	17.3778i	−0.246121	−	1.39582i
$156$	0.283119	+	0.237565i	0.0226676	+	0.0190204i
$157$	−2.16250	+	1.81456i	−0.172587	+	0.144817i	−0.724990	−	0.688760i	$-0.758155\pi$
$157$	−2.16250	+	1.81456i	−0.172587	+	0.144817i	0.552403	+	0.833577i	$0.313711\pi$
$158$	−1.16250	+	6.59289i	−0.0924838	+	0.524502i
$159$	1.71688	−	2.97373i	0.136158	−	0.235832i
$160$	−1.00000	−	1.73205i	−0.0790569	−	0.136931i
$161$	6.21213	−	2.26103i	0.489585	−	0.178194i
$162$	−7.45084	+	2.71188i	−0.585393	+	0.213066i
$163$	−1.10947	−	1.92166i	−0.0869004	−	0.150516i	0.819299	−	0.573366i	$-0.194363\pi$
$163$	−1.10947	−	1.92166i	−0.0869004	−	0.150516i	−0.906199	+	0.422851i	$0.861030\pi$
$164$	−0.939693	+	1.62760i	−0.0733777	+	0.127094i
$165$	0.509800	−	2.89122i	0.0396879	−	0.225081i
$166$	1.15657	−	0.970481i	0.0897676	−	0.0753239i
$167$	3.00000	+	2.51730i	0.232147	+	0.194794i	0.751439	−	0.659802i	$-0.229360\pi$
$167$	3.00000	+	2.51730i	0.232147	+	0.194794i	−0.519292	+	0.854597i	$0.673804\pi$
$168$	−0.106067	−	0.601535i	−0.00818323	−	0.0464094i
$169$	11.1518	+	4.05893i	0.857833	+	0.312226i
$170$	14.2567			1.09344
$171$		0			0
$172$	3.69459			0.281710
$173$	−7.09152	−	2.58110i	−0.539158	−	0.196238i	0.0580647	−	0.998313i	$-0.481507\pi$
$173$	−7.09152	−	2.58110i	−0.539158	−	0.196238i	−0.597223	+	0.802075i	$0.703729\pi$
$174$	0.384133	+	2.17853i	0.0291210	+	0.165154i
$175$	1.34730	+	1.13052i	0.101846	+	0.0854590i
$176$	3.23783	−	2.71686i	0.244060	−	0.204791i
$177$	−0.439693	+	2.49362i	−0.0330493	+	0.187432i
$178$	−5.95336	+	10.3115i	−0.446223	+	0.772882i
$179$	5.49407	+	9.51601i	0.410646	+	0.711260i	0.994961	−	0.100267i	$-0.0319698\pi$
$179$	5.49407	+	9.51601i	0.410646	+	0.711260i	−0.584314	+	0.811527i	$0.698637\pi$
$180$	5.41147	−	1.96962i	0.403347	−	0.146806i
$181$	14.1284	−	5.14230i	1.05015	−	0.382224i	0.241432	−	0.970418i	$-0.422383\pi$
$181$	14.1284	−	5.14230i	1.05015	−	0.382224i	0.808720	+	0.588193i	$0.200161\pi$
$182$	0.935822	+	1.62089i	0.0693678	+	0.120148i
$183$	−0.921274	+	1.59569i	−0.0681026	+	0.117957i
$184$	0.652704	−	3.70167i	0.0481180	−	0.272890i
$185$	−9.88713	+	8.29628i	−0.726916	+	0.609955i
$186$	−2.34730	−	1.96962i	−0.172112	−	0.144419i
$187$	5.23190	+	29.6716i	0.382594	+	2.16980i
$188$	3.45336	+	1.25692i	0.251862	+	0.0916704i
$189$	3.59121			0.261222
$190$		0			0
$191$	4.53714			0.328296			0.164148	−	0.986436i	$-0.447513\pi$
$191$	4.53714			0.328296			0.164148	+	0.986436i	$0.447513\pi$
$192$	−0.326352	−	0.118782i	−0.0235524	−	0.00857238i
$193$	3.81954	+	21.6617i	0.274937	+	1.55924i	0.739162	+	0.673527i	$0.235222\pi$
$193$	3.81954	+	21.6617i	0.274937	+	1.55924i	−0.464226	+	0.885717i	$0.653667\pi$
$194$	1.43969	+	1.20805i	0.103364	+	0.0867326i
$195$	0.566237	−	0.475129i	0.0405491	−	0.0340247i
$196$	−0.678396	+	3.84737i	−0.0484569	+	0.274812i
$197$	−7.96585	+	13.7973i	−0.567543	+	0.983014i	0.429265	+	0.903179i	$0.358773\pi$
$197$	−7.96585	+	13.7973i	−0.567543	+	0.983014i	−0.996808	+	0.0798353i	$0.974561\pi$
$198$	6.08512	+	10.5397i	0.432451	+	0.749027i
$199$	3.07873	−	1.12056i	0.218245	−	0.0794347i	−0.230584	−	0.973053i	$-0.574064\pi$
$199$	3.07873	−	1.12056i	0.218245	−	0.0794347i	0.448829	+	0.893618i	$0.351841\pi$
$200$	0.939693	−	0.342020i	0.0664463	−	0.0241845i
$201$	2.02094	+	3.50038i	0.142546	+	0.246898i
$202$	1.22668	−	2.12467i	0.0863090	−	0.149492i
$203$	−1.94532	+	11.0324i	−0.136535	+	0.774326i
$204$	1.89646	−	1.59132i	0.132779	−	0.111415i
$205$	2.87939	+	2.41609i	0.201105	+	0.168747i
$206$	−1.29086	−	7.32083i	−0.0899384	−	0.510066i
$207$	10.1702	+	3.70167i	0.706881	+	0.257284i
$208$	1.06418			0.0737875
$209$		0			0
$210$	−1.22163			−0.0843004
$211$	−10.7772	−	3.92258i	−0.741932	−	0.270041i	−0.0567255	−	0.998390i	$-0.518066\pi$
$211$	−10.7772	−	3.92258i	−0.741932	−	0.270041i	−0.685207	+	0.728349i	$0.740288\pi$
$212$	−1.71688	−	9.73692i	−0.117916	−	0.668734i
$213$	0.751030	+	0.630189i	0.0514597	+	0.0431798i
$214$	−0.135630	+	0.113807i	−0.00927144	+	0.00777966i
$215$	1.28312	−	7.27693i	0.0875080	−	0.496282i
$216$	1.02094	−	1.76833i	0.0694665	−	0.120319i
$217$	−7.75877	−	13.4386i	−0.526700	−	0.912271i
$218$	−3.98545	+	1.45059i	−0.269929	+	0.0982461i
$219$	−0.258770	+	0.0941848i	−0.0174861	+	0.00636442i
$220$	−4.22668	−	7.32083i	−0.284963	−	0.493570i
$221$	−3.79292	+	6.56953i	−0.255139	+	0.441914i
$222$	−0.389185	+	2.20718i	−0.0261204	+	0.148136i
$223$	8.57398	−	7.19442i	0.574156	−	0.481774i	−0.308866	−	0.951106i	$-0.599949\pi$
$223$	8.57398	−	7.19442i	0.574156	−	0.481774i	0.883022	+	0.469331i	$0.155505\pi$
$224$	−1.34730	−	1.13052i	−0.0900200	−	0.0755358i
$225$	0.500000	+	2.83564i	0.0333333	+	0.189043i
$226$	−9.80928	−	3.57029i	−0.652503	−	0.237492i
$227$	−3.39693			−0.225462			−0.112731	−	0.993626i	$-0.535960\pi$
$227$	−3.39693			−0.225462			−0.112731	+	0.993626i	$0.535960\pi$
$228$		0			0
$229$	4.25671			0.281291			0.140646	−	0.990060i	$-0.455082\pi$
$229$	4.25671			0.281291			0.140646	+	0.990060i	$0.455082\pi$
$230$	−7.06418	−	2.57115i	−0.465798	−	0.169537i
$231$	−0.448311	−	2.54250i	−0.0294967	−	0.167284i
$232$	4.87939	+	4.09429i	0.320347	+	0.268803i
$233$	5.08899	−	4.27017i	0.333391	−	0.279748i	−0.460689	−	0.887562i	$-0.652398\pi$
$233$	5.08899	−	4.27017i	0.333391	−	0.279748i	0.794080	+	0.607813i	$0.207953\pi$
$234$	−0.532089	+	3.01763i	−0.0347837	+	0.197268i
$235$	3.67499	−	6.36527i	0.239730	−	0.415225i
$236$	3.64543	+	6.31407i	0.237297	+	0.411011i
$237$	2.18479	−	0.795199i	0.141918	−	0.0516538i
$238$	11.7811	−	4.28795i	0.763653	−	0.277947i
$239$	−8.00774	−	13.8698i	−0.517978	−	0.897164i	−0.999782	−	0.0208848i	$-0.993352\pi$
$239$	−8.00774	−	13.8698i	−0.517978	−	0.897164i	0.481804	−	0.876279i	$-0.339982\pi$
$240$	−0.347296	+	0.601535i	−0.0224179	+	0.0388289i
$241$	−1.49407	+	8.47329i	−0.0962415	+	0.545813i	0.898118	+	0.439754i	$0.144934\pi$
$241$	−1.49407	+	8.47329i	−0.0962415	+	0.545813i	−0.994360	+	0.106059i	$0.966177\pi$
$242$	5.25877	−	4.41263i	0.338047	−	0.283655i
$243$	6.80200	+	5.70756i	0.436349	+	0.366140i
$244$	0.921274	+	5.22481i	0.0589785	+	0.334484i
$245$	7.34224	+	2.67236i	0.469079	+	0.170731i
$246$	0.652704			0.0416149
$247$		0			0
$248$	−8.82295			−0.560258
$249$	−0.492726	−	0.179338i	−0.0312252	−	0.0113651i
$250$	−2.08378	−	11.8177i	−0.131790	−	0.747417i
$251$	−15.2515	−	12.7975i	−0.962666	−	0.807773i	0.0187188	−	0.999825i	$-0.494041\pi$
$251$	−15.2515	−	12.7975i	−0.962666	−	0.807773i	−0.981385	+	0.192052i	$0.938486\pi$
$252$	3.87939	−	3.25519i	0.244378	−	0.205058i
$253$	2.75877	−	15.6458i	0.173442	−	0.983641i
$254$	11.0077	−	19.0660i	0.690687	−	1.19631i
$255$	−2.47565	−	4.28795i	−0.155031	−	0.268522i
$256$	−0.939693	+	0.342020i	−0.0587308	+	0.0213763i
$257$	−24.8243	+	9.03530i	−1.54850	+	0.563607i	−0.968064	−	0.250702i	$-0.919339\pi$
$257$	−24.8243	+	9.03530i	−1.54850	+	0.563607i	−0.580432	+	0.814308i	$0.697116\pi$
$258$	−0.641559	−	1.11121i	−0.0399417	−	0.0691811i
$259$	−5.67499	+	9.82938i	−0.352627	+	0.610768i
$260$	0.369585	−	2.09602i	0.0229207	−	0.129990i
$261$	−14.0496	+	11.7890i	−0.869650	+	0.729723i
$262$	−5.86231	−	4.91906i	−0.362175	−	0.303901i
$263$	−4.85204	−	27.5173i	−0.299190	−	1.69679i	−0.649667	−	0.760219i	$-0.725092\pi$
$263$	−4.85204	−	27.5173i	−0.299190	−	1.69679i	0.350477	−	0.936571i	$-0.386019\pi$
$264$	−1.37939	−	0.502055i	−0.0848953	−	0.0308994i
$265$	−19.7743			−1.21472
$266$		0			0
$267$	4.13516			0.253068
$268$	10.9363	+	3.98048i	0.668040	+	0.243147i
$269$	2.53209	+	14.3602i	0.154384	+	0.875556i	0.959347	+	0.282230i	$0.0910743\pi$
$269$	2.53209	+	14.3602i	0.154384	+	0.875556i	−0.804962	+	0.593326i	$0.797815\pi$
$270$	−3.12836	−	2.62500i	−0.190386	−	0.159753i
$271$	−13.9632	+	11.7165i	−0.848202	+	0.711726i	−0.959393	−	0.282073i	$-0.908978\pi$
$271$	−13.9632	+	11.7165i	−0.848202	+	0.711726i	0.111191	+	0.993799i	$0.464533\pi$
$272$	1.23783	−	7.02006i	0.0750542	−	0.425654i
$273$	0.325008	−	0.562930i	0.0196704	−	0.0340701i
$274$	2.86824	+	4.96794i	0.173277	+	0.300124i
$275$	3.97178	−	1.44561i	0.239507	−	0.0871736i
$276$	−1.22668	+	0.446476i	−0.0738376	+	0.0268747i
$277$	8.23442	+	14.2624i	0.494758	+	0.856947i	0.999982	−	0.00604184i	$-0.00192319\pi$
$277$	8.23442	+	14.2624i	0.494758	+	0.856947i	−0.505223	+	0.862989i	$0.668590\pi$
$278$	9.69846	−	16.7982i	0.581675	−	1.00749i
$279$	4.41147	−	25.0187i	0.264108	−	1.49783i
$280$	−2.69459	+	2.26103i	−0.161033	+	0.135122i
$281$	−5.49273	−	4.60894i	−0.327669	−	0.274947i	0.464081	−	0.885793i	$-0.346385\pi$
$281$	−5.49273	−	4.60894i	−0.327669	−	0.274947i	−0.791749	+	0.610846i	$0.790829\pi$
$282$	−0.221629	−	1.25692i	−0.0131978	−	0.0748486i
$283$	−19.6741	−	7.16079i	−1.16950	−	0.425665i	−0.317021	−	0.948419i	$-0.602683\pi$
$283$	−19.6741	−	7.16079i	−1.16950	−	0.425665i	−0.852484	+	0.522754i	$0.824905\pi$
$284$	2.82295			0.167511
$285$		0			0
$286$	4.49794			0.265969
$287$	3.10607	+	1.13052i	0.183345	+	0.0667322i
$288$	−0.500000	−	2.83564i	−0.0294628	−	0.167092i
$289$	25.9026	+	21.7349i	1.52368	+	1.27852i
$290$	9.75877	−	8.18858i	0.573055	−	0.480850i
$291$	0.113341	−	0.642788i	0.00664416	−	0.0376809i
$292$	−0.396459	+	0.686688i	−0.0232010	+	0.0401854i
$293$	−4.73917	−	8.20848i	−0.276865	−	0.479545i	0.693739	−	0.720227i	$-0.255962\pi$
$293$	−4.73917	−	8.20848i	−0.276865	−	0.479545i	−0.970604	+	0.240682i	$0.922629\pi$
$294$	1.27497	−	0.464050i	0.0743576	−	0.0270640i
$295$	13.7023	−	4.98724i	0.797781	−	0.290368i
$296$	3.22668	+	5.58878i	0.187547	+	0.324841i
$297$	4.31521	−	7.47416i	0.250394	−	0.433695i
$298$	−0.898986	+	5.09840i	−0.0520768	+	0.295342i
$299$	3.06418	−	2.57115i	0.177206	−	0.148693i
$300$	−0.266044	−	0.223238i	−0.0153601	−	0.0128886i
$301$	−1.12836	−	6.39922i	−0.0650373	−	0.368845i
$302$	−20.8452	−	7.58705i	−1.19951	−	0.436585i
$303$	−0.852044			−0.0489487
$304$		0			0
$305$	10.6108			0.607573
$306$	19.2875	+	7.02006i	1.10259	+	0.401310i
$307$	0.230963	+	1.30985i	0.0131817	+	0.0747573i	0.990689	−	0.136144i	$-0.0434711\pi$
$307$	0.230963	+	1.30985i	0.0131817	+	0.0747573i	−0.977507	+	0.210902i	$0.932360\pi$
$308$	−5.69459	−	4.77833i	−0.324480	−	0.272271i
$309$	−1.97771	+	1.65950i	−0.112508	+	0.0944055i
$310$	−3.06418	+	17.3778i	−0.174034	+	0.986994i
$311$	−3.73917	+	6.47643i	−0.212029	+	0.367245i	−0.952349	−	0.305009i	$-0.901340\pi$
$311$	−3.73917	+	6.47643i	−0.212029	+	0.367245i	0.740320	+	0.672254i	$0.234674\pi$
$312$	−0.184793	−	0.320070i	−0.0104618	−	0.0181204i
$313$	−27.5317	+	10.0207i	−1.55618	+	0.566404i	−0.969858	−	0.243672i	$-0.921648\pi$
$313$	−27.5317	+	10.0207i	−1.55618	+	0.566404i	−0.586325	+	0.810076i	$0.699426\pi$
$314$	2.65270	−	0.965505i	0.149701	−	0.0544866i
$315$	−5.06418	−	8.77141i	−0.285334	−	0.494213i
$316$	3.34730	−	5.79769i	0.188300	−	0.326145i
$317$	0.972659	−	5.51622i	0.0546300	−	0.309822i	−0.945233	−	0.326397i	$-0.894165\pi$
$317$	0.972659	−	5.51622i	0.0546300	−	0.309822i	0.999863	+	0.0165754i	$0.00527636\pi$
$318$	−2.63041	+	2.20718i	−0.147506	+	0.123773i
$319$	20.6236	+	17.3053i	1.15470	+	0.968909i
$320$	0.347296	+	1.96962i	0.0194145	+	0.110105i
$321$	0.0577812	+	0.0210306i	0.00322503	+	0.00117381i
$322$	−6.61081			−0.368406
$323$		0			0
$324$	7.92902			0.440501
$325$	1.00000	+	0.363970i	0.0554700	+	0.0201894i
$326$	0.385315	+	2.18523i	0.0213406	+	0.121029i
$327$	1.12836	+	0.946803i	0.0623982	+	0.0523583i
$328$	1.43969	−	1.20805i	0.0794937	−	0.0667032i
$329$	1.12237	−	6.36527i	0.0618782	−	0.350929i
$330$	−1.46791	+	2.54250i	−0.0808058	+	0.139960i
$331$	−11.4880	−	19.8978i	−0.631436	−	1.09368i	−0.987258	−	0.159126i	$-0.949132\pi$
$331$	−11.4880	−	19.8978i	−0.631436	−	1.09368i	0.355822	−	0.934554i	$-0.384201\pi$
$332$	−1.41875	+	0.516382i	−0.0778639	+	0.0283401i
$333$	−17.4611	+	6.35532i	−0.956863	+	0.348270i
$334$	−1.95811	−	3.39155i	−0.107143	−	0.185577i
$335$	11.6382	−	20.1579i	0.635860	−	1.10134i
$336$	−0.106067	+	0.601535i	−0.00578642	+	0.0328164i
$337$	1.00521	−	0.843475i	0.0547575	−	0.0459470i	−0.614998	−	0.788529i	$-0.710843\pi$
$337$	1.00521	−	0.843475i	0.0547575	−	0.0459470i	0.669756	+	0.742582i	$0.266399\pi$
$338$	−9.09105	−	7.62830i	−0.494488	−	0.414925i
$339$	0.629538	+	3.57029i	0.0341918	+	0.193911i
$340$	−13.3969	−	4.87608i	−0.726550	−	0.264443i
$341$	−37.2918			−2.01946
$342$		0			0
$343$	19.1824			1.03575
$344$	−3.47178	−	1.26363i	−0.187186	−	0.0681301i
$345$	0.453363	+	2.57115i	0.0244083	+	0.138426i
$346$	5.78106	+	4.85088i	0.310792	+	0.260785i
$347$	1.85117	−	1.55331i	0.0993758	−	0.0833862i	−0.591746	−	0.806124i	$-0.701561\pi$
$347$	1.85117	−	1.55331i	0.0993758	−	0.0833862i	0.691122	+	0.722738i	$0.257117\pi$
$348$	0.384133	−	2.17853i	0.0205917	−	0.116781i
$349$	4.24897	−	7.35943i	0.227442	−	0.393941i	−0.729607	−	0.683866i	$-0.760297\pi$
$349$	4.24897	−	7.35943i	0.227442	−	0.393941i	0.957049	+	0.289925i	$0.0936304\pi$
$350$	−0.879385	−	1.52314i	−0.0470051	−	0.0814153i
$351$	2.04189	−	0.743187i	0.108988	−	0.0396684i
$352$	−3.97178	+	1.44561i	−0.211697	+	0.0770513i
$353$	1.92009	+	3.32570i	0.102196	+	0.177009i	0.912589	−	0.408878i	$-0.134080\pi$
$353$	1.92009	+	3.32570i	0.102196	+	0.177009i	−0.810393	+	0.585887i	$0.800746\pi$
$354$	1.26604	−	2.19285i	0.0672895	−	0.116549i
$355$	0.980400	−	5.56012i	0.0520342	−	0.295101i
$356$	9.12108	−	7.65350i	0.483416	−	0.405634i
$357$	−3.33544	−	2.79876i	−0.176530	−	0.148126i
$358$	−1.90807	−	10.8212i	−0.100845	−	0.571919i
$359$	22.4834	+	8.18329i	1.18663	+	0.431897i	0.858538	−	0.512749i	$-0.171373\pi$
$359$	22.4834	+	8.18329i	1.18663	+	0.431897i	0.328090	+	0.944647i	$0.393595\pi$
$360$	−5.75877			−0.303514
$361$		0			0
$362$	−15.0351			−0.790226
$363$	−2.24035	−	0.815422i	−0.117588	−	0.0427985i
$364$	−0.325008	−	1.84321i	−0.0170350	−	0.0966105i
$365$	1.21482	+	1.01936i	0.0635867	+	0.0533556i
$366$	1.41147	−	1.18437i	0.0737789	−	0.0619079i
$367$	2.97090	−	16.8488i	0.155080	−	0.879502i	−0.803633	−	0.595126i	$-0.797102\pi$
$367$	2.97090	−	16.8488i	0.155080	−	0.879502i	0.958713	−	0.284376i	$-0.0917866\pi$
$368$	−1.87939	+	3.25519i	−0.0979697	+	0.169689i
$369$	2.70574	+	4.68647i	0.140855	+	0.243968i
$370$	12.1284	−	4.41436i	0.630523	−	0.229492i
$371$	−16.3405	+	5.94745i	−0.848356	+	0.308776i
$372$	1.53209	+	2.65366i	0.0794351	+	0.137586i
$373$	1.98040	−	3.43015i	0.102541	−	0.177607i	−0.810190	−	0.586168i	$-0.800636\pi$
$373$	1.98040	−	3.43015i	0.102541	−	0.177607i	0.912731	+	0.408561i	$0.133969\pi$
$374$	5.23190	−	29.6716i	0.270535	−	1.53428i
$375$	−3.19253	+	2.67885i	−0.164862	+	0.138335i
$376$	−2.81521	−	2.36224i	−0.145183	−	0.121823i
$377$	1.17705	+	6.67539i	0.0606212	+	0.343800i
$378$	−3.37464	−	1.22827i	−0.173573	−	0.0631753i
$379$	−27.2918			−1.40189			−0.700943	−	0.713218i	$-0.747237\pi$
$379$	−27.2918			−1.40189			−0.700943	+	0.713218i	$0.747237\pi$
$380$		0			0
$381$	−7.64590			−0.391711
$382$	−4.26352	−	1.55179i	−0.218141	−	0.0793967i
$383$	1.11287	+	6.31142i	0.0568652	+	0.322499i	0.999949	−	0.0100553i	$-0.00320077\pi$
$383$	1.11287	+	6.31142i	0.0568652	+	0.322499i	−0.943084	+	0.332554i	$0.892090\pi$
$384$	0.266044	+	0.223238i	0.0135765	+	0.0113921i
$385$	−11.3892	+	9.55666i	−0.580447	+	0.487053i
$386$	3.81954	−	21.6617i	0.194410	−	1.10255i
$387$	5.31908	−	9.21291i	0.270384	−	0.468319i
$388$	−0.939693	−	1.62760i	−0.0477057	−	0.0826286i
$389$	23.8999	−	8.69886i	1.21177	−	0.441050i	0.344455	−	0.938803i	$-0.388064\pi$
$389$	23.8999	−	8.69886i	1.21177	−	0.441050i	0.867319	+	0.497753i	$0.165841\pi$
$390$	−0.694593	+	0.252811i	−0.0351721	+	0.0128016i
$391$	−13.3969	−	23.2042i	−0.677512	−	1.17348i
$392$	1.95336	−	3.38332i	0.0986597	−	0.170884i
$393$	−0.461515	+	2.61738i	−0.0232803	+	0.132029i
$394$	12.2044	−	10.2407i	0.614848	−	0.515919i
$395$	−10.2567	−	8.60640i	−0.516071	−	0.433035i
$396$	−2.11334	−	11.9854i	−0.106199	−	0.602287i
$397$	−21.2199	−	7.72340i	−1.06499	−	0.387626i	−0.250692	−	0.968067i	$-0.580658\pi$
$397$	−21.2199	−	7.72340i	−1.06499	−	0.387626i	−0.814303	+	0.580440i	$0.802880\pi$
$398$	−3.27631			−0.164227
$399$		0			0
$400$	−1.00000			−0.0500000
$401$	−0.717759	−	0.261243i	−0.0358432	−	0.0130458i	0.324036	−	0.946045i	$-0.394960\pi$
$401$	−0.717759	−	0.261243i	−0.0358432	−	0.0130458i	−0.359880	+	0.932999i	$0.617182\pi$
$402$	−0.701867	−	3.98048i	−0.0350059	−	0.198528i
$403$	−7.19253	−	6.03525i	−0.358286	−	0.300637i
$404$	−1.87939	+	1.57699i	−0.0935029	+	0.0784583i
$405$	2.75372	−	15.6171i	0.136833	−	0.776020i
$406$	5.60132	−	9.70177i	0.277989	−	0.481491i
$407$	13.6382	+	23.6220i	0.676018	+	1.17090i
$408$	−2.32635	+	0.846723i	−0.115172	+	0.0419190i
$409$	15.8093	−	5.75411i	0.781718	−	0.284522i	0.0798294	−	0.996809i	$-0.474562\pi$
$409$	15.8093	−	5.75411i	0.781718	−	0.284522i	0.701889	+	0.712286i	$0.252340\pi$
$410$	−1.87939	−	3.25519i	−0.0928162	−	0.160762i
$411$	0.996130	−	1.72535i	0.0491354	−	0.0851051i
$412$	−1.29086	+	7.32083i	−0.0635961	+	0.360671i
$413$	9.82295	−	8.24243i	0.483356	−	0.405584i
$414$	−8.29086	−	6.95686i	−0.407474	−	0.341911i
$415$	0.524348	+	2.97373i	0.0257392	+	0.145974i
$416$	−1.00000	−	0.363970i	−0.0490290	−	0.0178451i
$417$	−6.73648			−0.329887
$418$		0			0
$419$	35.8931			1.75349			0.876747	−	0.480953i	$-0.159709\pi$
$419$	35.8931			1.75349			0.876747	+	0.480953i	$0.159709\pi$
$420$	1.14796	+	0.417822i	0.0560145	+	0.0203876i
$421$	3.59627	+	20.3954i	0.175271	+	0.994013i	0.937830	+	0.347094i	$0.112832\pi$
$421$	3.59627	+	20.3954i	0.175271	+	0.994013i	−0.762559	+	0.646919i	$0.776057\pi$
$422$	8.78564	+	7.37203i	0.427678	+	0.358865i
$423$	8.10607	−	6.80180i	0.394130	−	0.330715i
$424$	−1.71688	+	9.73692i	−0.0833791	+	0.472867i
$425$	3.56418	−	6.17334i	0.172888	−	0.299451i
$426$	−0.490200	−	0.849051i	−0.0237503	−	0.0411367i
$427$	8.76827	−	3.19139i	0.424326	−	0.154442i
$428$	0.166374	−	0.0605553i	0.00804200	−	0.00292705i
$429$	−0.781059	−	1.35283i	−0.0377099	−	0.0653155i
$430$	−3.69459	+	6.39922i	−0.178169	+	0.308598i
$431$	−3.18210	+	18.0466i	−0.153277	+	0.869275i	0.807068	+	0.590459i	$0.201053\pi$
$431$	−3.18210	+	18.0466i	−0.153277	+	0.869275i	−0.960345	+	0.278816i	$0.910058\pi$
$432$	−1.56418	+	1.31250i	−0.0752565	+	0.0631477i
$433$	3.90167	+	3.27389i	0.187502	+	0.157333i	0.731707	−	0.681619i	$-0.238724\pi$
$433$	3.90167	+	3.27389i	0.187502	+	0.157333i	−0.544204	+	0.838953i	$0.683168\pi$
$434$	2.69459	+	15.2818i	0.129345	+	0.733550i
$435$	−4.15745	−	1.51319i	−0.199335	−	0.0725518i
$436$	4.24123			0.203118
$437$		0			0
$438$	0.275378			0.0131581
$439$	9.68954	+	3.52670i	0.462457	+	0.168320i	0.562732	−	0.826639i	$-0.309750\pi$
$439$	9.68954	+	3.52670i	0.462457	+	0.168320i	−0.100276	+	0.994960i	$0.531972\pi$
$440$	1.46791	+	8.32494i	0.0699799	+	0.396876i
$441$	8.61721	+	7.23070i	0.410343	+	0.344319i
$442$	5.81109	−	4.87608i	0.276405	−	0.231932i
$443$	−1.53091	+	8.68220i	−0.0727356	+	0.412504i	0.926600	+	0.376049i	$0.122718\pi$
$443$	−1.53091	+	8.68220i	−0.0727356	+	0.412504i	−0.999335	+	0.0364548i	$0.988393\pi$
$444$	1.12061	−	1.94096i	0.0531820	−	0.0921140i
$445$	−11.9067	−	20.6231i	−0.564433	−	0.977627i
$446$	−10.5175	+	3.82807i	−0.498020	+	0.181264i
$447$	1.68954	−	0.614942i	0.0799125	−	0.0290858i
$448$	0.879385	+	1.52314i	0.0415470	+	0.0719616i
$449$	−6.03849	+	10.4590i	−0.284974	+	0.493589i	−0.972603	−	0.232473i	$-0.925318\pi$
$449$	−6.03849	+	10.4590i	−0.284974	+	0.493589i	0.687629	+	0.726062i	$0.258652\pi$
$450$	0.500000	−	2.83564i	0.0235702	−	0.133673i
$451$	6.08512	−	5.10602i	0.286537	−	0.240433i
$452$	7.99660	+	6.70994i	0.376128	+	0.315609i
$453$	1.33780	+	7.58705i	0.0628554	+	0.356471i
$454$	3.19207	+	1.16182i	0.149811	+	0.0545268i
$455$	−3.74329			−0.175488
$456$		0			0
$457$	−0.731429			−0.0342148			−0.0171074	−	0.999854i	$-0.505446\pi$
$457$	−0.731429			−0.0342148			−0.0171074	+	0.999854i	$0.505446\pi$
$458$	−4.00000	−	1.45588i	−0.186908	−	0.0680288i
$459$	−2.52750	−	14.3342i	−0.117974	−	0.669062i
$460$	5.75877	+	4.83218i	0.268504	+	0.225302i
$461$	17.6800	−	14.8353i	0.823442	−	0.690950i	−0.130334	−	0.991470i	$-0.541605\pi$
$461$	17.6800	−	14.8353i	0.823442	−	0.690950i	0.953775	+	0.300521i	$0.0971604\pi$
$462$	−0.448311	+	2.54250i	−0.0208573	+	0.118288i
$463$	−9.02229	+	15.6271i	−0.419301	+	0.726251i	−0.995869	−	0.0907980i	$-0.971058\pi$
$463$	−9.02229	+	15.6271i	−0.419301	+	0.726251i	0.576568	+	0.817049i	$0.304392\pi$
$464$	−3.18479	−	5.51622i	−0.147850	−	0.256084i
$465$	5.75877	−	2.09602i	0.267057	−	0.0972006i
$466$	−6.24257	+	2.27211i	−0.289182	+	0.105254i
$467$	−5.48633	−	9.50260i	−0.253877	−	0.439728i	0.710713	−	0.703482i	$-0.248373\pi$
$467$	−5.48633	−	9.50260i	−0.253877	−	0.439728i	−0.964590	+	0.263754i	$0.915039\pi$
$468$	1.53209	−	2.65366i	0.0708208	−	0.122665i
$469$	3.55438	−	20.1579i	0.164126	−	0.930804i
$470$	−5.63041	+	4.72448i	−0.259712	+	0.217924i
$471$	−0.751030	−	0.630189i	−0.0346056	−	0.0290376i
$472$	−1.26604	−	7.18009i	−0.0582744	−	0.330491i
$473$	−14.6741	−	5.34094i	−0.674717	−	0.245577i
$474$	−2.32501			−0.106791
$475$		0			0
$476$	−12.5371			−0.574639
$477$	−26.7520	−	9.73692i	−1.22489	−	0.445823i
$478$	2.78106	+	15.7722i	0.127203	+	0.721402i
$479$	17.1480	+	14.3888i	0.783510	+	0.657443i	0.944130	−	0.329573i	$-0.106905\pi$
$479$	17.1480	+	14.3888i	0.783510	+	0.657443i	−0.160620	+	0.987016i	$0.551349\pi$
$480$	0.532089	−	0.446476i	0.0242864	−	0.0203787i
$481$	−1.19253	+	6.76319i	−0.0543748	+	0.308375i
$482$	4.30200	−	7.45129i	0.195951	−	0.339397i
$483$	1.14796	+	1.98832i	0.0522338	+	0.0904716i
$484$	−6.45084	+	2.34791i	−0.293220	+	0.106723i
$485$	−3.53209	+	1.28558i	−0.160384	+	0.0583750i
$486$	−4.43969	−	7.68977i	−0.201389	−	0.348815i
$487$	18.8803	−	32.7017i	0.855549	−	1.48185i	−0.0205859	−	0.999788i	$-0.506553\pi$
$487$	18.8803	−	32.7017i	0.855549	−	1.48185i	0.876135	−	0.482066i	$-0.160113\pi$
$488$	0.921274	−	5.22481i	0.0417041	−	0.236516i
$489$	0.590337	−	0.495351i	0.0266960	−	0.0224006i
$490$	−5.98545	−	5.02239i	−0.270395	−	0.226888i
$491$	−0.217292	−	1.23232i	−0.00980625	−	0.0556140i	0.979512	−	0.201386i	$-0.0645445\pi$
$491$	−0.217292	−	1.23232i	−0.00980625	−	0.0556140i	−0.989318	+	0.145772i	$0.953433\pi$
$492$	−0.613341	−	0.223238i	−0.0276515	−	0.0100643i
$493$	45.4047			2.04492
$494$		0			0
$495$	−24.3405			−1.09402
$496$	8.29086	+	3.01763i	0.372271	+	0.135495i
$497$	−0.862149	−	4.88949i	−0.0386727	−	0.219324i
$498$	0.401674	+	0.337044i	0.0179994	+	0.0151033i
$499$	−7.14724	+	5.99725i	−0.319954	+	0.268474i	−0.788592	−	0.614917i	$-0.789190\pi$
$499$	−7.14724	+	5.99725i	−0.319954	+	0.268474i	0.468637	+	0.883391i	$0.344745\pi$
$500$	−2.08378	+	11.8177i	−0.0931894	+	0.528503i
$501$	−0.680045	+	1.17787i	−0.0303822	+	0.0526234i
$502$	9.95471	+	17.2421i	0.444300	+	0.769551i
$503$	9.10607	−	3.31434i	0.406019	−	0.147779i	−0.130934	−	0.991391i	$-0.541797\pi$
$503$	9.10607	−	3.31434i	0.406019	−	0.147779i	0.536953	+	0.843612i	$0.319575\pi$
$504$	−4.75877	+	1.73205i	−0.211972	+	0.0771517i
$505$	2.45336	+	4.24935i	0.109173	+	0.189094i
$506$	−7.94356	+	13.7587i	−0.353134	+	0.611647i
$507$	−0.715699	+	4.05893i	−0.0317853	+	0.180264i
$508$	−16.8648	+	14.1513i	−0.748256	+	0.627861i
$509$	22.1780	+	18.6095i	0.983022	+	0.824853i	0.984543	−	0.175146i	$-0.0560396\pi$
$509$	22.1780	+	18.6095i	0.983022	+	0.824853i	−0.00152064	+	0.999999i	$0.500484\pi$
$510$	0.859785	+	4.87608i	0.0380719	+	0.215917i
$511$	1.31046	+	0.476968i	0.0579713	+	0.0210998i
$512$	1.00000			0.0441942
$513$		0			0
$514$	26.4175			1.16522
$515$	13.9709	+	5.08499i	0.615632	+	0.224072i
$516$	0.222811	+	1.26363i	0.00980872	+	0.0556280i
$517$	−11.8990	−	9.98443i	−0.523317	−	0.439115i
$518$	8.69459	−	7.29563i	0.382018	−	0.320552i
$519$	0.455118	−	2.58110i	0.0199775	−	0.113298i
$520$	−1.06418	+	1.84321i	−0.0466673	+	0.0808301i
$521$	1.08037	+	1.87126i	0.0473321	+	0.0819815i	0.888721	−	0.458449i	$-0.151595\pi$
$521$	1.08037	+	1.87126i	0.0473321	+	0.0819815i	−0.841389	+	0.540430i	$0.818261\pi$
$522$	17.2344	−	6.27282i	0.754330	−	0.274554i
$523$	−13.5175	+	4.91998i	−0.591081	+	0.215136i	−0.620205	−	0.784440i	$-0.712950\pi$
$523$	−13.5175	+	4.91998i	−0.591081	+	0.215136i	0.0291239	+	0.999576i	$0.490728\pi$
$524$	3.82635	+	6.62744i	0.167155	+	0.289521i
$525$	−0.305407	+	0.528981i	−0.0133291	+	0.0230866i
$526$	−4.85204	+	27.5173i	−0.211559	+	1.19981i
$527$	−48.1789	+	40.4269i	−2.09871	+	1.76102i
$528$	1.12449	+	0.943555i	0.0489369	+	0.0410630i
$529$	−1.54054	−	8.73686i	−0.0669802	−	0.379864i
$530$	18.5817	+	6.76319i	0.807138	+	0.293774i
$531$	20.9932			0.911027
$532$		0			0
$533$	2.00000			0.0866296
$534$	−3.88578	−	1.41431i	−0.168154	−	0.0612031i
$535$	−0.0614894	−	0.348724i	−0.00265842	−	0.0150766i
$536$	−8.91534	−	7.48086i	−0.385084	−	0.323124i
$537$	−2.92333	+	2.45297i	−0.126151	+	0.105853i
$538$	2.53209	−	14.3602i	0.109166	−	0.619112i
$539$	8.25624	−	14.3002i	0.355622	−	0.615955i
$540$	2.04189	+	3.53666i	0.0878689	+	0.152193i
$541$	−12.1702	+	4.42961i	−0.523240	+	0.190444i	−0.590117	−	0.807318i	$-0.700919\pi$
$541$	−12.1702	+	4.42961i	−0.523240	+	0.190444i	0.0668776	+	0.997761i	$0.478696\pi$
$542$	17.1284	−	6.23421i	0.735726	−	0.267782i
$543$	2.61081	+	4.52206i	0.112041	+	0.194060i
$544$	−3.56418	+	6.17334i	−0.152813	+	0.264680i
$545$	1.47296	−	8.35359i	0.0630948	−	0.357829i
$546$	−0.497941	+	0.417822i	−0.0213099	+	0.0178811i
$547$	1.07145	+	0.899055i	0.0458120	+	0.0384408i	0.665406	−	0.746482i	$-0.268258\pi$
$547$	1.07145	+	0.899055i	0.0458120	+	0.0384408i	−0.619594	+	0.784922i	$0.712703\pi$
$548$	−0.996130	−	5.64933i	−0.0425525	−	0.241327i
$549$	14.3550	+	5.22481i	0.612658	+	0.222989i
$550$	−4.22668			−0.180226
$551$		0			0
$552$	1.30541			0.0555618
$553$	−11.0642	−	4.02703i	−0.470497	−	0.171247i
$554$	−2.85978	−	16.2186i	−0.121501	−	0.689064i
$555$	−3.43376	−	2.88127i	−0.145755	−	0.122303i
$556$	−14.8589	+	12.4681i	−0.630158	+	0.528765i
$557$	−5.14971	+	29.2055i	−0.218200	+	1.23748i	0.657066	+	0.753833i	$0.271797\pi$
$557$	−5.14971	+	29.2055i	−0.218200	+	1.23748i	−0.875266	+	0.483642i	$0.839314\pi$
$558$	−12.7023	+	22.0011i	−0.537733	+	0.931380i
$559$	−1.96585	−	3.40496i	−0.0831467	−	0.144014i
$560$	3.30541	−	1.20307i	0.139679	−	0.0508390i
$561$	−9.83275	+	3.57883i	−0.415139	+	0.151098i
$562$	3.58512	+	6.20961i	0.151229	+	0.261937i
$563$	−21.0646	+	36.4850i	−0.887769	+	1.53766i	−0.0452621	+	0.998975i	$0.514412\pi$
$563$	−21.0646	+	36.4850i	−0.887769	+	1.53766i	−0.842507	+	0.538686i	$0.818921\pi$
$564$	−0.221629	+	1.25692i	−0.00933227	+	0.0529259i
$565$	15.9932	−	13.4199i	0.672839	−	0.564579i
$566$	16.0385	+	13.4579i	0.674148	+	0.565677i
$567$	−2.42158	−	13.7335i	−0.101697	−	0.576751i
$568$	−2.65270	−	0.965505i	−0.111305	−	0.0405117i
$569$	5.08915			0.213348			0.106674	−	0.994294i	$-0.465980\pi$
$569$	5.08915			0.213348			0.106674	+	0.994294i	$0.465980\pi$
$570$		0			0
$571$	−12.6486			−0.529327			−0.264663	−	0.964341i	$-0.585261\pi$
$571$	−12.6486			−0.529327			−0.264663	+	0.964341i	$0.585261\pi$
$572$	−4.22668	−	1.53839i	−0.176726	−	0.0643232i
$573$	0.273623	+	1.55179i	0.0114308	+	0.0648271i
$574$	−2.53209	−	2.12467i	−0.105687	−	0.0886822i
$575$	−2.87939	+	2.41609i	−0.120079	+	0.100758i
$576$	−0.500000	+	2.83564i	−0.0208333	+	0.118152i
$577$	−5.00727	+	8.67285i	−0.208456	+	0.361056i	−0.951228	−	0.308488i	$-0.900177\pi$
$577$	−5.00727	+	8.67285i	−0.208456	+	0.361056i	0.742773	+	0.669544i	$0.233510\pi$
$578$	−16.9067	−	29.2833i	−0.703227	−	1.21803i
$579$	−7.17840	+	2.61272i	−0.298324	+	0.108581i
$580$	−11.9709	+	4.35705i	−0.497065	+	0.180917i
$581$	1.32770	+	2.29964i	0.0550821	+	0.0954050i
$582$	−0.326352	+	0.565258i	−0.0135277	+	0.0234307i
$583$	−7.25671	+	41.1549i	−0.300542	+	1.70446i
$584$	0.607411	−	0.509678i	0.0251348	−	0.0210906i
$585$	−4.69459	−	3.93923i	−0.194098	−	0.162867i
$586$	1.64590	+	9.33434i	0.0679914	+	0.385598i
$587$	−4.16637	−	1.51644i	−0.171965	−	0.0625900i	0.254603	−	0.967046i	$-0.418055\pi$
$587$	−4.16637	−	1.51644i	−0.171965	−	0.0625900i	−0.426568	+	0.904456i	$0.640277\pi$
$588$	−1.35679			−0.0559532
$589$		0			0
$590$	−14.5817			−0.600320
$591$	−5.19934	−	1.89241i	−0.213872	−	0.0778431i
$592$	−1.12061	−	6.35532i	−0.0460570	−	0.261202i
$593$	−18.4040	−	15.4427i	−0.755760	−	0.634158i	0.181260	−	0.983435i	$-0.441983\pi$
$593$	−18.4040	−	15.4427i	−0.755760	−	0.634158i	−0.937019	+	0.349278i	$0.886427\pi$
$594$	−6.61128	+	5.54752i	−0.271264	+	0.227618i
$595$	−4.35410	+	24.6933i	−0.178501	+	1.01233i
$596$	2.58853	−	4.48346i	0.106030	−	0.183650i
$597$	0.568926	+	0.985408i	0.0232846	+	0.0403301i
$598$	−3.75877	+	1.36808i	−0.153708	+	0.0559450i
$599$	31.9273	−	11.6206i	1.30451	−	0.474804i	0.406049	−	0.913851i	$-0.366906\pi$
$599$	31.9273	−	11.6206i	1.30451	−	0.474804i	0.898464	+	0.439048i	$0.144684\pi$
$600$	0.173648	+	0.300767i	0.00708916	+	0.0122788i
$601$	−8.07145	+	13.9802i	−0.329241	+	0.570263i	−0.982362	−	0.186991i	$-0.940126\pi$
$601$	−8.07145	+	13.9802i	−0.329241	+	0.570263i	0.653120	+	0.757254i	$0.273460\pi$
$602$	−1.12836	+	6.39922i	−0.0459883	+	0.260813i
$603$	25.6707	−	21.5403i	1.04539	−	0.877188i
$604$	16.9932	+	14.2590i	0.691443	+	0.580190i
$605$	2.38413	+	13.5211i	0.0969288	+	0.549710i
$606$	0.800660	+	0.291416i	0.0325246	+	0.0118380i
$607$	8.92221			0.362141			0.181071	−	0.983470i	$-0.442044\pi$
$607$	8.92221			0.362141			0.181071	+	0.983470i	$0.442044\pi$
$608$		0			0
$609$	−3.89064			−0.157657
$610$	−9.97090	−	3.62911i	−0.403710	−	0.146938i
$611$	−0.679111	−	3.85143i	−0.0274739	−	0.155812i
$612$	−15.7233	−	13.1934i	−0.635576	−	0.533311i
$613$	19.7861	−	16.6025i	0.799154	−	0.670569i	−0.148839	−	0.988861i	$-0.547554\pi$
$613$	19.7861	−	16.6025i	0.799154	−	0.670569i	0.947993	+	0.318292i	$0.103109\pi$
$614$	0.230963	−	1.30985i	0.00932089	−	0.0528614i
$615$	−0.652704	+	1.13052i	−0.0263196	+	0.0455868i
$616$	3.71688	+	6.43783i	0.149757	+	0.259387i
$617$	−17.4106	+	6.33694i	−0.700924	+	0.255116i	−0.667805	−	0.744336i	$-0.732766\pi$
$617$	−17.4106	+	6.33694i	−0.700924	+	0.255116i	−0.0331188	+	0.999451i	$0.510544\pi$
$618$	2.42602	−	0.883000i	0.0975889	−	0.0355195i
$619$	17.6061	+	30.4946i	0.707648	+	1.22568i	0.965728	+	0.259558i	$0.0835769\pi$
$619$	17.6061	+	30.4946i	0.707648	+	1.22568i	−0.258080	+	0.966124i	$0.583090\pi$
$620$	8.82295	−	15.2818i	0.354338	−	0.613732i
$621$	−1.33275	+	7.55839i	−0.0534814	+	0.303308i
$622$	5.72874	−	4.80698i	0.229702	−	0.192743i
$623$	−16.0419	−	13.4607i	−0.642705	−	0.539293i
$624$	0.0641778	+	0.363970i	0.00256917	+	0.0145705i
$625$	17.8542	+	6.49838i	0.714166	+	0.259935i
$626$	29.2986			1.17101
$627$		0			0
$628$	−2.82295			−0.112648
$629$	43.2276	+	15.7336i	1.72360	+	0.627338i
$630$	1.75877	+	9.97448i	0.0700711	+	0.397393i
$631$	−1.41147	−	1.18437i	−0.0561899	−	0.0471489i	0.614260	−	0.789104i	$-0.289455\pi$
$631$	−1.41147	−	1.18437i	−0.0561899	−	0.0471489i	−0.670450	+	0.741955i	$0.733899\pi$
$632$	−5.12836	+	4.30320i	−0.203995	+	0.171172i
$633$	0.691656	−	3.92258i	0.0274909	−	0.155908i
$634$	−2.80066	+	4.85088i	−0.111228	+	0.192653i
$635$	22.0155	+	38.1319i	0.873658	+	1.51322i
$636$	3.22668	−	1.17442i	0.127946	−	0.0465686i
$637$	3.90673	−	1.42193i	0.154790	−	0.0563390i
$638$	−13.4611	−	23.3153i	−0.532930	−	0.923062i
$639$	4.06418	−	7.03936i	0.160776	−	0.278473i
$640$	0.347296	−	1.96962i	0.0137281	−	0.0778559i
$641$	−3.99407	+	3.35142i	−0.157756	+	0.132373i	−0.718249	−	0.695786i	$-0.755056\pi$
$641$	−3.99407	+	3.35142i	−0.157756	+	0.132373i	0.560493	+	0.828159i	$0.310612\pi$
$642$	−0.0471036	−	0.0395246i	−0.00185903	−	0.00155991i
$643$	1.02523	+	5.81434i	0.0404309	+	0.229295i	0.998327	−	0.0578198i	$-0.0184149\pi$
$643$	1.02523	+	5.81434i	0.0404309	+	0.229295i	−0.957896	+	0.287115i	$0.907304\pi$
$644$	6.21213	+	2.26103i	0.244792	+	0.0890971i
$645$	2.56624			0.101045
$646$		0			0
$647$	−42.6810			−1.67796			−0.838981	−	0.544160i	$-0.816848\pi$
$647$	−42.6810			−1.67796			−0.838981	+	0.544160i	$0.816848\pi$
$648$	−7.45084	−	2.71188i	−0.292697	−	0.106533i
$649$	−5.35117	−	30.3480i	−0.210052	−	1.19126i
$650$	−0.815207	−	0.684040i	−0.0319751	−	0.0268303i
$651$	4.12836	−	3.46410i	0.161803	−	0.135769i
$652$	0.385315	−	2.18523i	0.0150901	−	0.0855802i
$653$	−3.87939	+	6.71929i	−0.151812	+	0.262946i	−0.931894	−	0.362732i	$-0.881844\pi$
$653$	−3.87939	+	6.71929i	−0.151812	+	0.262946i	0.780082	+	0.625678i	$0.215178\pi$
$654$	−0.736482	−	1.27562i	−0.0287987	−	0.0498808i
$655$	14.3824	−	5.23476i	0.561966	−	0.204539i
$656$	−1.76604	+	0.642788i	−0.0689525	+	0.0250966i
$657$	1.14156	+	1.97724i	0.0445365	+	0.0771394i
$658$	−3.23173	+	5.59753i	−0.125986	+	0.218214i
$659$	5.03343	−	28.5460i	0.196075	−	1.11199i	−0.714805	−	0.699324i	$-0.753485\pi$
$659$	5.03343	−	28.5460i	0.196075	−	1.11199i	0.910880	−	0.412671i	$-0.135404\pi$
$660$	2.24897	−	1.88711i	0.0875411	−	0.0734557i
$661$	−25.0574	−	21.0256i	−0.974619	−	0.817802i	0.00865008	−	0.999963i	$-0.497247\pi$
$661$	−25.0574	−	21.0256i	−0.974619	−	0.817802i	−0.983269	+	0.182160i	$0.941691\pi$
$662$	3.98973	+	22.6269i	0.155065	+	0.879419i
$663$	−2.47565	−	0.901064i	−0.0961464	−	0.0349944i
$664$	1.50980			0.0585916
$665$		0			0
$666$	18.5817			0.720027
$667$	−22.4979	−	8.18858i	−0.871124	−	0.317063i
$668$	0.680045	+	3.85673i	0.0263117	+	0.149221i
$669$	2.97771	+	2.49860i	0.115125	+	0.0966013i
$670$	−17.8307	+	14.9617i	−0.688860	+	0.578022i
$671$	3.89393	−	22.0836i	0.150324	−	0.852528i
$672$	0.305407	−	0.528981i	0.0117813	−	0.0204059i
$673$	16.4222	+	28.4441i	0.633030	+	1.09644i	0.986929	+	0.161156i	$0.0515222\pi$
$673$	16.4222	+	28.4441i	0.633030	+	1.09644i	−0.353899	+	0.935284i	$0.615144\pi$
$674$	−1.23308	+	0.448804i	−0.0474964	+	0.0172873i
$675$	−1.91875	+	0.698367i	−0.0738526	+	0.0268802i
$676$	5.93376	+	10.2776i	0.228222	+	0.395291i
$677$	−12.3209	+	21.3404i	−0.473530	+	0.820178i	−0.999541	−	0.0302996i	$-0.990354\pi$
$677$	−12.3209	+	21.3404i	−0.473530	+	0.820178i	0.526011	+	0.850478i	$0.323687\pi$
$678$	0.629538	−	3.57029i	0.0241772	−	0.137116i
$679$	−2.53209	+	2.12467i	−0.0971727	+	0.0815375i
$680$	10.9213	+	9.16404i	0.418812	+	0.351425i
$681$	−0.204860	−	1.16182i	−0.00785024	−	0.0445209i
$682$	35.0428	+	12.7545i	1.34186	+	0.488397i
$683$	29.9905			1.14755			0.573777	−	0.819011i	$-0.305477\pi$
$683$	29.9905			1.14755			0.573777	+	0.819011i	$0.305477\pi$
$684$		0			0
$685$	−11.4730			−0.438359
$686$	−18.0256	−	6.56078i	−0.688220	−	0.250492i
$687$	0.256711	+	1.45588i	0.00979414	+	0.0555453i
$688$	2.83022	+	2.37484i	0.107901	+	0.0905399i
$689$	−8.06006	+	6.76319i	−0.307064	+	0.257657i
$690$	0.453363	−	2.57115i	0.0172592	−	0.0978820i
$691$	−11.2365	+	19.4622i	−0.427456	+	0.740375i	−0.996646	−	0.0818304i	$-0.973923\pi$
$691$	−11.2365	+	19.4622i	−0.427456	+	0.740375i	0.569190	+	0.822206i	$0.307257\pi$
$692$	−3.77332	−	6.53558i	−0.143440	−	0.248445i
$693$	−20.1138	+	7.32083i	−0.764060	+	0.278095i
$694$	−2.27079	+	0.826501i	−0.0861981	+	0.0313735i
$695$	19.3969	+	33.5965i	0.735767	+	1.27439i
$696$	−1.10607	+	1.91576i	−0.0419254	+	0.0726168i
$697$	2.32635	−	13.1934i	0.0881169	−	0.499736i
$698$	−6.50980	+	5.46237i	−0.246400	+	0.206754i
$699$	1.76739	+	1.48302i	0.0668488	+	0.0560928i
$700$	0.305407	+	1.73205i	0.0115433	+	0.0654654i
$701$	4.53209	+	1.64955i	0.171175	+	0.0623025i	0.426186	−	0.904636i	$-0.359857\pi$
$701$	4.53209	+	1.64955i	0.171175	+	0.0623025i	−0.255011	+	0.966938i	$0.582079\pi$
$702$	−2.17293			−0.0820121
$703$		0			0
$704$	4.22668			0.159299
$705$	2.39868	+	0.873048i	0.0903395	+	0.0328809i
$706$	−0.666841	−	3.78184i	−0.0250969	−	0.142332i
$707$	3.30541	+	2.77357i	0.124313	+	0.104311i
$708$	−1.93969	+	1.62760i	−0.0728981	+	0.0611688i
$709$	−7.18479	+	40.7470i	−0.269831	+	1.53029i	0.485087	+	0.874466i	$0.338788\pi$
$709$	−7.18479	+	40.7470i	−0.269831	+	1.53029i	−0.754918	+	0.655819i	$0.772323\pi$
$710$	−2.82295	+	4.88949i	−0.105943	+	0.183499i
$711$	−9.63816	−	16.6938i	−0.361459	−	0.626065i
$712$	−11.1887	+	4.07234i	−0.419313	+	0.152617i
$713$	31.1634	−	11.3426i	1.16708	−	0.424782i
$714$	2.17705	+	3.77076i	0.0814741	+	0.141117i
$715$	−4.49794	+	7.79066i	−0.168213	+	0.291354i
$716$	−1.90807	+	10.8212i	−0.0713079	+	0.404407i
$717$	4.26083	−	3.57526i	0.159124	−	0.133521i
$718$	−18.3286	−	15.3795i	−0.684018	−	0.573960i
$719$	3.96080	+	22.4628i	0.147713	+	0.837721i	0.965149	+	0.261702i	$0.0842837\pi$
$719$	3.96080	+	22.4628i	0.147713	+	0.837721i	−0.817436	+	0.576020i	$0.804605\pi$
$720$	5.41147	+	1.96962i	0.201674	+	0.0734032i
$721$	13.0743			0.486912
$722$		0			0
$723$	−2.98814			−0.111130
$724$	14.1284	+	5.14230i	0.525076	+	0.191112i
$725$	−1.10607	−	6.27282i	−0.0410783	−	0.232967i
$726$	1.82635	+	1.53249i	0.0677823	+	0.0568761i
$727$	6.91353	−	5.80114i	0.256409	−	0.215153i	−0.505517	−	0.862816i	$-0.668698\pi$
$727$	6.91353	−	5.80114i	0.256409	−	0.215153i	0.761926	+	0.647664i	$0.224254\pi$
$728$	−0.325008	+	1.84321i	−0.0120456	+	0.0683139i
$729$	10.3516	−	17.9296i	0.383394	−	0.664058i
$730$	−0.792919	−	1.37338i	−0.0293472	−	0.0508309i
$731$	−24.7481	+	9.00757i	−0.915341	+	0.333157i
$732$	−1.73143	+	0.630189i	−0.0639955	+	0.0232924i
$733$	−14.4561	−	25.0386i	−0.533946	−	0.924822i	−0.999214	−	0.0396520i	$-0.987375\pi$
$733$	−14.4561	−	25.0386i	−0.533946	−	0.924822i	0.465267	−	0.885170i	$-0.345958\pi$
$734$	−8.55438	+	14.8166i	−0.315748	+	0.546891i
$735$	−0.471209	+	2.67236i	−0.0173808	+	0.0985714i
$736$	2.87939	−	2.41609i	0.106136	−	0.0890583i
$737$	−37.6823	−	31.6192i	−1.38805	−	1.16471i
$738$	−0.939693	−	5.32926i	−0.0345906	−	0.196173i
$739$	5.71910	+	2.08158i	0.210381	+	0.0765723i	0.445061	−	0.895500i	$-0.353182\pi$
$739$	5.71910	+	2.08158i	0.210381	+	0.0765723i	−0.234680	+	0.972073i	$0.575404\pi$
$740$	−12.9067			−0.474461
$741$		0			0
$742$	17.3892			0.638377
$743$	27.6263	+	10.0551i	1.01351	+	0.368888i	0.794780	−	0.606898i	$-0.207586\pi$
$743$	27.6263	+	10.0551i	1.01351	+	0.368888i	0.218731	+	0.975785i	$0.429808\pi$
$744$	−0.532089	−	3.01763i	−0.0195073	−	0.110632i
$745$	−7.93170	−	6.65549i	−0.290595	−	0.243838i
$746$	−3.03415	+	2.54595i	−0.111088	+	0.0932140i
$747$	−0.754900	+	4.28125i	−0.0276203	+	0.156643i
$748$	−15.0646	+	26.0927i	−0.550818	+	0.954045i
$749$	−0.155697	−	0.269675i	−0.00568903	−	0.00985369i
$750$	3.91622	−	1.42539i	0.143000	−	0.0520478i
$751$	36.1343	−	13.1518i	1.31856	−	0.479917i	0.415564	−	0.909564i	$-0.363584\pi$
$751$	36.1343	−	13.1518i	1.31856	−	0.479917i	0.902997	+	0.429647i	$0.141362\pi$
$752$	1.83750	+	3.18264i	0.0670066	+	0.116059i
$753$	3.45723	−	5.98810i	0.125989	−	0.218219i
$754$	1.17705	−	6.67539i	0.0428657	−	0.243103i
$755$	33.9864	−	28.5180i	1.23689	−	1.03787i
$756$	2.75103	+	2.30839i	0.100054	+	0.0839553i
$757$	−1.31996	−	7.48584i	−0.0479746	−	0.272077i	0.951379	−	0.308022i	$-0.0996671\pi$
$757$	−1.31996	−	7.48584i	−0.0479746	−	0.272077i	−0.999354	+	0.0359447i	$0.988556\pi$
$758$	25.6459	+	9.33434i	0.931501	+	0.339039i
$759$	5.51754			0.200274
$760$		0			0
$761$	−2.89992			−0.105122			−0.0525610	−	0.998618i	$-0.516738\pi$
$761$	−2.89992			−0.105122			−0.0525610	+	0.998618i	$0.516738\pi$
$762$	7.18479	+	2.61505i	0.260278	+	0.0947333i
$763$	−1.29530	−	7.34603i	−0.0468931	−	0.265944i
$764$	3.47565	+	2.91642i	0.125745	+	0.105512i
$765$	−31.4466	+	26.3868i	−1.13695	+	0.954017i
$766$	1.11287	−	6.31142i	0.0402098	−	0.228041i
$767$	3.87939	−	6.71929i	0.140076	−	0.242620i
$768$	−0.173648	−	0.300767i	−0.00626599	−	0.0108530i
$769$	15.9379	−	5.80094i	0.574737	−	0.209187i	−0.0382664	−	0.999268i	$-0.512184\pi$
$769$	15.9379	−	5.80094i	0.574737	−	0.209187i	0.613003	+	0.790081i	$0.289961\pi$
$770$	13.9709	−	5.08499i	0.503476	−	0.183250i
$771$	−4.58734	−	7.94551i	−0.165209	−	0.286151i
$772$	−10.9979	+	19.0490i	−0.395825	+	0.685588i
$773$	−8.33275	+	47.2574i	−0.299708	+	1.69973i	0.347716	+	0.937600i	$0.386957\pi$
$773$	−8.33275	+	47.2574i	−0.299708	+	1.69973i	−0.647425	+	0.762130i	$0.724154\pi$
$774$	−8.14930	+	6.83807i	−0.292921	+	0.245790i
$775$	6.75877	+	5.67128i	0.242782	+	0.203718i
$776$	0.326352	+	1.85083i	0.0117153	+	0.0664410i
$777$	−3.70409	−	1.34818i	−0.132883	−	0.0483656i
$778$	−25.4338			−0.911845
$779$		0			0
$780$	0.739170			0.0264665
$781$	−11.2121	−	4.08088i	−0.401202	−	0.146025i
$782$	4.65270	+	26.3868i	0.166380	+	0.943590i
$783$	−9.96316	−	8.36009i	−0.356054	−	0.298765i
$784$	−2.99273	+	2.51120i	−0.106883	+	0.0896855i
$785$	−0.980400	+	5.56012i	−0.0349920	+	0.198449i
$786$	1.32888	−	2.30168i	0.0473995	−	0.0820984i
$787$	−25.2913	−	43.8059i	−0.901538	−	1.56151i	−0.825498	−	0.564406i	$-0.809105\pi$
$787$	−25.2913	−	43.8059i	−0.901538	−	1.56151i	−0.0760408	−	0.997105i	$-0.524228\pi$
$788$	−14.9709	+	5.44896i	−0.533316	+	0.194111i
$789$	9.11886	−	3.31899i	0.324640	−	0.118159i
$790$	6.69459	+	11.5954i	0.238183	+	0.412545i
$791$	9.17974	−	15.8998i	0.326394	−	0.565331i
$792$	−2.11334	+	11.9854i	−0.0750943	+	0.425881i
$793$	4.32501	−	3.62911i	0.153586	−	0.128874i
$794$	17.2986	+	14.5152i	0.613904	+	0.515127i
$795$	−1.19253	−	6.76319i	−0.0422948	−	0.239866i
$796$	3.07873	+	1.12056i	0.109123	+	0.0397174i
$797$	−3.87702			−0.137331			−0.0686656	−	0.997640i	$-0.521874\pi$
$797$	−3.87702			−0.137331			−0.0686656	+	0.997640i	$0.521874\pi$
$798$		0			0
$799$	−26.1967			−0.926771
$800$	0.939693	+	0.342020i	0.0332232	+	0.0120922i
$801$	−5.95336	−	33.7632i	−0.210352	−	1.19296i
$802$	0.585122	+	0.490976i	0.0206614	+	0.0173370i
$803$	2.56733	−	2.15425i	0.0905992	−	0.0760218i
$804$	−0.701867	+	3.98048i	−0.0247529	+	0.140381i
$805$	6.61081	−	11.4503i	0.233001	−	0.403569i
$806$	4.69459	+	8.13127i	0.165360	+	0.286412i
$807$	−4.75877	+	1.73205i	−0.167517	+	0.0609711i
$808$	2.30541	−	0.839100i	0.0811039	−	0.0295194i
$809$	8.65317	+	14.9877i	0.304229	+	0.526941i	0.977089	−	0.212829i	$-0.0682678\pi$
$809$	8.65317	+	14.9877i	0.304229	+	0.526941i	−0.672860	+	0.739770i	$0.734934\pi$
$810$	−7.92902	+	13.7335i	−0.278597	+	0.482544i
$811$	8.50805	−	48.2515i	0.298758	−	1.69434i	−0.352766	−	0.935712i	$-0.614759\pi$
$811$	8.50805	−	48.2515i	0.298758	−	1.69434i	0.651524	−	0.758628i	$-0.274130\pi$
$812$	−8.58172	+	7.20092i	−0.301159	+	0.252703i
$813$	−4.84936	−	4.06909i	−0.170074	−	0.142709i
$814$	−4.73648	−	26.8619i	−0.166014	−	0.941510i
$815$	−4.17024	−	1.51784i	−0.146077	−	0.0531678i
$816$	2.47565			0.0866652
$817$		0			0
$818$	−16.8239			−0.588233
$819$	−5.06418	−	1.84321i	−0.176957	−	0.0644070i
$820$	0.652704	+	3.70167i	0.0227934	+	0.129268i
$821$	−21.8726	−	18.3533i	−0.763358	−	0.640534i	0.175640	−	0.984454i	$-0.443800\pi$
$821$	−21.8726	−	18.3533i	−0.763358	−	0.640534i	−0.938999	+	0.343921i	$0.888245\pi$
$822$	−1.52616	+	1.28060i	−0.0532309	+	0.0446660i
$823$	8.17293	−	46.3510i	0.284891	−	1.61569i	−0.420786	−	0.907160i	$-0.638246\pi$
$823$	8.17293	−	46.3510i	0.284891	−	1.61569i	0.705676	−	0.708534i	$-0.250643\pi$
$824$	3.71688	−	6.43783i	0.129484	−	0.224272i
$825$	0.733956	+	1.27125i	0.0255531	+	0.0442592i
$826$	−12.0496	+	4.38571i	−0.419260	+	0.152598i
$827$	−23.2754	+	8.47157i	−0.809366	+	0.294585i	−0.713362	−	0.700796i	$-0.752828\pi$
$827$	−23.2754	+	8.47157i	−0.809366	+	0.294585i	−0.0960042	+	0.995381i	$0.530606\pi$
$828$	5.41147	+	9.37295i	0.188062	+	0.325732i
$829$	17.2959	−	29.9574i	0.600712	−	1.04046i	−0.392002	−	0.919965i	$-0.628217\pi$
$829$	17.2959	−	29.9574i	0.600712	−	1.04046i	0.992713	−	0.120499i	$-0.0384494\pi$
$830$	0.524348	−	2.97373i	0.0182004	−	0.103220i
$831$	−4.38144	+	3.67647i	−0.151991	+	0.127535i
$832$	0.815207	+	0.684040i	0.0282622	+	0.0237148i
$833$	−4.83585	−	27.4255i	−0.167552	−	0.950236i
$834$	6.33022	+	2.30401i	0.219198	+	0.0797814i
$835$	7.83244			0.271053
$836$		0			0
$837$	18.0155			0.622706
$838$	−33.7285	−	12.2762i	−1.16513	−	0.424073i
$839$	1.16788	+	6.62338i	0.0403197	+	0.228664i	0.998308	−	0.0581417i	$-0.0185175\pi$
$839$	1.16788	+	6.62338i	0.0403197	+	0.228664i	−0.957989	+	0.286806i	$0.907406\pi$
$840$	−0.935822	−	0.785248i	−0.0322889	−	0.0270936i
$841$	8.86437	−	7.43809i	0.305668	−	0.256486i
$842$	3.59627	−	20.3954i	0.123936	−	0.702873i
$843$	1.24510	−	2.15658i	0.0428835	−	0.0742764i
$844$	−5.73442	−	9.93231i	−0.197387	−	0.341884i
$845$	22.3037	−	8.11787i	0.767269	−	0.279263i
$846$	−9.94356	+	3.61916i	−0.341867	+	0.124429i
$847$	6.03684	+	10.4561i	0.207428	+	0.359276i
$848$	4.94356	−	8.56250i	0.169763	−	0.294038i
$849$	1.26264	−	7.16079i	0.0433337	−	0.245758i
$850$	−5.46064	+	4.58202i	−0.187298	+	0.157162i
$851$	−18.5817	−	15.5919i	−0.636973	−	0.534484i
$852$	0.170245	+	0.965505i	0.00583248	+	0.0330777i
$853$	−20.3500	−	7.40679i	−0.696770	−	0.253604i	−0.0307389	−	0.999527i	$-0.509786\pi$
$853$	−20.3500	−	7.40679i	−0.696770	−	0.253604i	−0.666031	+	0.745924i	$0.732008\pi$
$854$	−9.33099			−0.319300
$855$		0			0
$856$	−0.177052			−0.00605150
$857$	36.1553	+	13.1594i	1.23504	+	0.449518i	0.875321	−	0.483542i	$-0.160650\pi$
$857$	36.1553	+	13.1594i	1.23504	+	0.449518i	0.359720	+	0.933060i	$0.382872\pi$
$858$	0.271259	+	1.53839i	0.00926063	+	0.0525196i
$859$	−12.6953	−	10.6526i	−0.433158	−	0.363463i	0.399984	−	0.916522i	$-0.369016\pi$
$859$	−12.6953	−	10.6526i	−0.433158	−	0.363463i	−0.833142	+	0.553059i	$0.813460\pi$
$860$	5.66044	−	4.74968i	0.193020	−	0.161963i
$861$	−0.199340	+	1.13052i	−0.00679350	+	0.0385279i
$862$	9.16250	−	15.8699i	0.312076	−	0.540532i
$863$	12.9290	+	22.3937i	0.440109	+	0.762291i	0.997697	−	0.0678268i	$-0.0216065\pi$
$863$	12.9290	+	22.3937i	0.440109	+	0.762291i	−0.557588	+	0.830118i	$0.688273\pi$
$864$	1.91875	−	0.698367i	0.0652771	−	0.0237589i
$865$	−14.1830	+	5.16220i	−0.482238	+	0.175520i
$866$	−2.54664	−	4.41090i	−0.0865382	−	0.149889i
$867$	−5.87164	+	10.1700i	−0.199412	+	0.345391i
$868$	2.69459	−	15.2818i	0.0914604	−	0.518698i
$869$	−21.6759	+	18.1883i	−0.735305	+	0.616995i
$870$	3.38919	+	2.84386i	0.114904	+	0.0964160i
$871$	−2.15064	−	12.1969i	−0.0728718	−	0.413277i
$872$	−3.98545	−	1.45059i	−0.134964	−	0.0491230i
$873$	−5.41147			−0.183151
$874$		0			0
$875$	21.1052			0.713488
$876$	−0.258770	−	0.0941848i	−0.00874304	−	0.00318221i
$877$	−8.79055	−	49.8537i	−0.296836	−	1.68344i	−0.659645	−	0.751577i	$-0.729294\pi$
$877$	−8.79055	−	49.8537i	−0.296836	−	1.68344i	0.362809	−	0.931863i	$-0.381818\pi$
$878$	−7.89899	−	6.62804i	−0.266578	−	0.223685i
$879$	2.52166	−	2.11592i	0.0850535	−	0.0713683i
$880$	1.46791	−	8.32494i	0.0494833	−	0.280634i
$881$	−25.4846	+	44.1406i	−0.858597	+	1.48713i	0.0146701	+	0.999892i	$0.495330\pi$
$881$	−25.4846	+	44.1406i	−0.858597	+	1.48713i	−0.873267	+	0.487241i	$0.838003\pi$
$882$	−5.62449	−	9.74189i	−0.189386	−	0.328027i
$883$	−35.8184	+	13.0368i	−1.20538	+	0.438724i	−0.865100	−	0.501599i	$-0.832745\pi$
$883$	−35.8184	+	13.0368i	−1.20538	+	0.438724i	−0.340284	+	0.940323i	$0.610523\pi$
$884$	−7.12836	+	2.59451i	−0.239753	+	0.0872628i
$885$	2.53209	+	4.38571i	0.0851152	+	0.147424i
$886$	4.40807	−	7.63500i	0.148092	−	0.256503i
$887$	−5.46791	+	31.0101i	−0.183594	+	1.04122i	0.744153	+	0.668009i	$0.232853\pi$
$887$	−5.46791	+	31.0101i	−0.183594	+	1.04122i	−0.927748	+	0.373207i	$0.878258\pi$
$888$	−1.71688	+	1.44063i	−0.0576148	+	0.0483445i
$889$	29.6614	+	24.8889i	0.994811	+	0.834745i
$890$	4.13516	+	23.4517i	0.138611	+	0.786102i
$891$	−31.4923	−	11.4623i	−1.05503	−	0.384000i
$892$	11.1925			0.374754
$893$		0			0
$894$	−1.79797			−0.0601332
$895$	20.6509	+	7.51633i	0.690285	+	0.251243i
$896$	−0.305407	−	1.73205i	−0.0102029	−	0.0578638i
$897$	1.06418	+	0.892951i	0.0355319	+	0.0298148i
$898$	9.25150	−	7.76293i	0.308726	−	0.259052i
$899$	−9.75877	+	55.3447i	−0.325473	+	1.84585i
$900$	−1.43969	+	2.49362i	−0.0479898	+	0.0831207i
$901$	35.2395	+	61.0366i	1.17400	+	2.03342i
$902$	−7.46451	+	2.71686i	−0.248541	+	0.0904615i
$903$	2.12061	−	0.771841i	0.0705696	−	0.0256852i
$904$	−5.21941	−	9.04028i	−0.173595	−	0.300675i
$905$	15.0351	−	26.0415i	0.499783	−	0.865650i
$906$	1.33780	−	7.58705i	0.0444455	−	0.252063i
$907$	6.82223	−	5.72453i	0.226529	−	0.190080i	−0.522458	−	0.852665i	$-0.674985\pi$
$907$	6.82223	−	5.72453i	0.226529	−	0.190080i	0.748987	+	0.662585i	$0.230541\pi$
$908$	−2.60220	−	2.18350i	−0.0863569	−	0.0724621i
$909$	1.22668	+	6.95686i	0.0406865	+	0.230744i
$910$	3.51754	+	1.28028i	0.116605	+	0.0424409i
$911$	−44.2959			−1.46759			−0.733795	−	0.679371i	$-0.762253\pi$
$911$	−44.2959			−1.46759			−0.733795	+	0.679371i	$0.762253\pi$
$912$		0			0
$913$	6.38144			0.211195
$914$	0.687319	+	0.250164i	0.0227345	+	0.00827468i
$915$	0.639910	+	3.62911i	0.0211548	+	0.119975i
$916$	3.26083	+	2.73616i	0.107741	+	0.0904053i
$917$	10.3105	−	8.65150i	0.340481	−	0.285698i
$918$	−2.52750	+	14.3342i	−0.0834200	+	0.473099i
$919$	27.3969	−	47.4529i	0.903741	−	1.56533i	0.0811431	−	0.996702i	$-0.474143\pi$
$919$	27.3969	−	47.4529i	0.903741	−	1.56533i	0.822598	−	0.568623i	$-0.192524\pi$
$920$	−3.75877	−	6.51038i	−0.123923	−	0.214641i
$921$	−0.434068	+	0.157988i	−0.0143030	+	0.00520587i
$922$	−21.6878	+	7.89371i	−0.714249	+	0.259965i
$923$	−1.50206	−	2.60164i	−0.0494409	−	0.0856341i
$924$	1.29086	−	2.23583i	0.0424662	−	0.0735535i
$925$	1.12061	−	6.35532i	0.0368456	−	0.208962i
$926$	13.8229	−	11.5988i	0.454250	−	0.381161i
$927$	16.3969	+	13.7587i	0.538546	+	0.451894i
$928$	1.10607	+	6.27282i	0.0363084	+	0.205915i
$929$	−28.5758	−	10.4007i	−0.937541	−	0.341237i	−0.172347	−	0.985036i	$-0.555135\pi$
$929$	−28.5758	−	10.4007i	−0.937541	−	0.341237i	−0.765194	+	0.643799i	$0.777357\pi$
$930$	−6.12836			−0.200957
$931$		0			0
$932$	6.64321			0.217606
$933$	−2.44057	−	0.888295i	−0.0799007	−	0.0290815i
$934$	1.90538	+	10.8060i	0.0623460	+	0.353582i
$935$	46.1607	+	38.7335i	1.50962	+	1.26672i
$936$	−2.34730	+	1.96962i	−0.0767238	+	0.0643789i
$937$	5.12449	−	29.0624i	0.167410	−	0.949427i	−0.779135	−	0.626856i	$-0.784342\pi$
$937$	5.12449	−	29.0624i	0.167410	−	0.949427i	0.946545	−	0.322572i	$-0.104547\pi$
$938$	−10.2344	+	17.7265i	−0.334166	+	0.578792i
$939$	−5.08765	−	8.81207i	−0.166029	−	0.287571i
$940$	6.90673	−	2.51384i	0.225273	−	0.0819925i
$941$	12.7118	−	4.62673i	0.414394	−	0.150827i	−0.126406	−	0.991979i	$-0.540344\pi$
$941$	12.7118	−	4.62673i	0.414394	−	0.150827i	0.540799	+	0.841152i	$0.318122\pi$
$942$	0.490200	+	0.849051i	0.0159716	+	0.0276636i
$943$	−3.53209	+	6.11776i	−0.115021	+	0.199222i
$944$	−1.26604	+	7.18009i	−0.0412062	+	0.233692i
$945$	5.50206	−	4.61678i	0.178982	−	0.150184i
$946$	11.9624	+	10.0377i	0.388933	+	0.326353i
$947$	−1.50744	−	8.54909i	−0.0489851	−	0.277808i	0.950470	−	0.310816i	$-0.100602\pi$
$947$	−1.50744	−	8.54909i	−0.0489851	−	0.277808i	−0.999455	+	0.0330081i	$0.989491\pi$
$948$	2.18479	+	0.795199i	0.0709588	+	0.0258269i
$949$	0.843807			0.0273911
$950$		0			0
$951$	1.94532			0.0630812
$952$	11.7811	+	4.28795i	0.381826	+	0.138973i
$953$	7.26511	+	41.2025i	0.235340	+	1.33468i	0.841896	+	0.539639i	$0.181439\pi$
$953$	7.26511	+	41.2025i	0.235340	+	1.33468i	−0.606556	+	0.795040i	$0.707450\pi$
$954$	21.8084	+	18.2994i	0.706073	+	0.592466i
$955$	6.95130	−	5.83284i	0.224939	−	0.188746i
$956$	2.78106	−	15.7722i	0.0899459	−	0.510108i
$957$	−4.67499	+	8.09732i	−0.151121	+	0.261749i
$958$	−11.1925	−	19.3860i	−0.361614	−	0.626334i
$959$	−9.48070	+	3.45069i	−0.306148	+	0.111429i
$960$	−0.652704	+	0.237565i	−0.0210659	+	0.00766737i
$961$	−23.4222	−	40.5685i	−0.755555	−	1.30866i
$962$	3.43376	−	5.94745i	0.110709	−	0.191754i
$963$	0.0885259	−	0.502055i	0.00285271	−	0.0161785i
$964$	−6.59105	+	5.53055i	−0.212283	+	0.178127i
$965$	33.6996	+	28.2774i	1.08483	+	0.910280i
$966$	−0.398681	−	2.26103i	−0.0128273	−	0.0727475i
$967$	13.2216	+	4.81228i	0.425179	+	0.154752i	0.545742	−	0.837953i	$-0.316248\pi$
$967$	13.2216	+	4.81228i	0.425179	+	0.154752i	−0.120563	+	0.992706i	$0.538470\pi$
$968$	6.86484			0.220644
$969$		0			0
$970$	3.75877			0.120687
$971$	−35.1648	−	12.7989i	−1.12849	−	0.410737i	−0.290747	−	0.956800i	$-0.593904\pi$
$971$	−35.1648	−	12.7989i	−1.12849	−	0.410737i	−0.837744	+	0.546063i	$0.816126\pi$
$972$	1.54189	+	8.74449i	0.0494561	+	0.280480i
$973$	26.1334	+	21.9285i	0.837799	+	0.702996i
$974$	−28.9263	+	24.2721i	−0.926859	+	0.777727i
$975$	−0.0641778	+	0.363970i	−0.00205533	+	0.0116564i
$976$	−2.65270	+	4.59462i	−0.0849110	+	0.147070i
$977$	−24.8769	−	43.0881i	−0.795883	−	1.37851i	−0.922277	−	0.386530i	$-0.873674\pi$
$977$	−24.8769	−	43.0881i	−0.795883	−	1.37851i	0.126394	−	0.991980i	$-0.459660\pi$
$978$	−0.724155	+	0.263571i	−0.0231559	+	0.00842807i
$979$	−47.2909	+	17.2125i	−1.51142	+	0.550113i
$980$	3.90673	+	6.76665i	0.124796	+	0.216153i
$981$	6.10607	−	10.5760i	0.194952	−	0.337666i
$982$	−0.217292	+	1.23232i	−0.00693406	+	0.0393250i
$983$	−17.1438	+	14.3854i	−0.546803	+	0.458823i	−0.873857	−	0.486183i	$-0.838389\pi$
$983$	−17.1438	+	14.3854i	−0.546803	+	0.458823i	0.327053	+	0.945006i	$0.393944\pi$
$984$	0.500000	+	0.419550i	0.0159394	+	0.0133748i
$985$	5.53302	+	31.3793i	0.176297	+	0.999829i
$986$	−42.6664	−	15.5293i	−1.35878	−	0.494554i
$987$	2.24474			0.0714508
$988$		0			0
$989$	13.8871			0.441585
$990$	22.8726	+	8.32494i	0.726938	+	0.264584i
$991$	8.36009	+	47.4124i	0.265567	+	1.50611i	0.767416	+	0.641150i	$0.221542\pi$
$991$	8.36009	+	47.4124i	0.265567	+	1.50611i	−0.501849	+	0.864955i	$0.667347\pi$
$992$	−6.75877	−	5.67128i	−0.214591	−	0.180063i
$993$	6.11263	−	5.12910i	0.193978	−	0.162767i
$994$	−0.862149	+	4.88949i	−0.0273457	+	0.155085i
$995$	3.27631	−	5.67474i	0.103866	−	0.179901i
$996$	−0.262174	−	0.454099i	−0.00830730	−	0.0143887i
$997$	40.0797	−	14.5878i	1.26934	−	0.462000i	0.382444	−	0.923979i	$-0.375082\pi$
$997$	40.0797	−	14.5878i	1.26934	−	0.462000i	0.886891	+	0.461978i	$0.152860\pi$
$998$	8.76739	−	3.19107i	0.277527	−	0.101012i
$999$	−6.58853	−	11.4117i	−0.208452	−	0.361049i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	722.2.e.m.99.1		6
19.2	odd	18		722.2.e.l.415.1		6
19.3	odd	18		722.2.e.k.245.1		6
19.4	even	9		722.2.c.k.653.2		6
19.5	even	9	inner	722.2.e.m.423.1		6
19.6	even	9		722.2.c.k.429.2		6
19.7	even	3		722.2.e.b.595.1		6
19.8	odd	6		722.2.e.k.389.1		6
19.9	even	9		722.2.a.l.1.2		3
19.10	odd	18		722.2.a.k.1.2		3
19.11	even	3		38.2.e.a.9.1	✓	6
19.12	odd	6		722.2.e.l.595.1		6
19.13	odd	18		722.2.c.l.429.2		6
19.14	odd	18		722.2.e.a.423.1		6
19.15	odd	18		722.2.c.l.653.2		6
19.16	even	9		38.2.e.a.17.1	yes	6
19.17	even	9		722.2.e.b.415.1		6
19.18	odd	2		722.2.e.a.99.1		6
57.11	odd	6		342.2.u.c.199.1		6
57.29	even	18		6498.2.a.bq.1.1		3
57.35	odd	18		342.2.u.c.55.1		6
57.47	odd	18		6498.2.a.bl.1.1		3
76.11	odd	6		304.2.u.c.161.1		6
76.35	odd	18		304.2.u.c.17.1		6
76.47	odd	18		5776.2.a.bn.1.2		3
76.67	even	18		5776.2.a.bo.1.2		3
95.49	even	6		950.2.l.d.351.1		6
95.54	even	18		950.2.l.d.701.1		6
95.68	odd	12		950.2.u.b.199.2		12
95.73	odd	36		950.2.u.b.549.1		12
95.87	odd	12		950.2.u.b.199.1		12
95.92	odd	36		950.2.u.b.549.2		12

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
38.2.e.a.9.1	✓	6	19.11	even	3
38.2.e.a.17.1	yes	6	19.16	even	9
304.2.u.c.17.1		6	76.35	odd	18
304.2.u.c.161.1		6	76.11	odd	6
342.2.u.c.55.1		6	57.35	odd	18
342.2.u.c.199.1		6	57.11	odd	6
722.2.a.k.1.2		3	19.10	odd	18
722.2.a.l.1.2		3	19.9	even	9
722.2.c.k.429.2		6	19.6	even	9
722.2.c.k.653.2		6	19.4	even	9
722.2.c.l.429.2		6	19.13	odd	18
722.2.c.l.653.2		6	19.15	odd	18
722.2.e.a.99.1		6	19.18	odd	2
722.2.e.a.423.1		6	19.14	odd	18
722.2.e.b.415.1		6	19.17	even	9
722.2.e.b.595.1		6	19.7	even	3
722.2.e.k.245.1		6	19.3	odd	18
722.2.e.k.389.1		6	19.8	odd	6
722.2.e.l.415.1		6	19.2	odd	18
722.2.e.l.595.1		6	19.12	odd	6
722.2.e.m.99.1		6	1.1	even	1	trivial
722.2.e.m.423.1		6	19.5	even	9	inner
950.2.l.d.351.1		6	95.49	even	6
950.2.l.d.701.1		6	95.54	even	18
950.2.u.b.199.1		12	95.87	odd	12
950.2.u.b.199.2		12	95.68	odd	12
950.2.u.b.549.1		12	95.73	odd	36
950.2.u.b.549.2		12	95.92	odd	36
5776.2.a.bn.1.2		3	76.47	odd	18
5776.2.a.bo.1.2		3	76.67	even	18
6498.2.a.bl.1.1		3	57.47	odd	18
6498.2.a.bq.1.1		3	57.29	even	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:	\( N \)	\(=\)	\( 722 = 2 \cdot 19^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	722.e (of order \(9\), degree \(6\), not minimal)

\(f(q)\)	\(=\)	\(q+(-0.939693 - 0.342020i) q^{2} +(0.0603074 + 0.342020i) q^{3} +(0.766044 + 0.642788i) q^{4} +(1.53209 - 1.28558i) q^{5} +(0.0603074 - 0.342020i) q^{6} +(0.879385 - 1.52314i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(2.70574 - 0.984808i) q^{9} +O(q^{10})\)	\(q+(-0.939693 - 0.342020i) q^{2} +(0.0603074 + 0.342020i) q^{3} +(0.766044 + 0.642788i) q^{4} +(1.53209 - 1.28558i) q^{5} +(0.0603074 - 0.342020i) q^{6} +(0.879385 - 1.52314i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(2.70574 - 0.984808i) q^{9} +(-1.87939 + 0.684040i) q^{10} +(-2.11334 - 3.66041i) q^{11} +(-0.173648 + 0.300767i) q^{12} +(0.184793 - 1.04801i) q^{13} +(-1.34730 + 1.13052i) q^{14} +(0.532089 + 0.446476i) q^{15} +(0.173648 + 0.984808i) q^{16} +(-6.69846 - 2.43804i) q^{17} -2.87939 q^{18} +2.00000 q^{20} +(0.573978 + 0.208911i) q^{21} +(0.733956 + 4.16247i) q^{22} +(2.87939 + 2.41609i) q^{23} +(0.266044 - 0.223238i) q^{24} +(-0.173648 + 0.984808i) q^{25} +(-0.532089 + 0.921605i) q^{26} +(1.02094 + 1.76833i) q^{27} +(1.65270 - 0.601535i) q^{28} +(-5.98545 + 2.17853i) q^{29} +(-0.347296 - 0.601535i) q^{30} +(4.41147 - 7.64090i) q^{31} +(0.173648 - 0.984808i) q^{32} +(1.12449 - 0.943555i) q^{33} +(5.46064 + 4.58202i) q^{34} +(-0.610815 - 3.46410i) q^{35} +(2.70574 + 0.984808i) q^{36} -6.45336 q^{37} +0.369585 q^{39} +(-1.87939 - 0.684040i) q^{40} +(0.326352 + 1.85083i) q^{41} +(-0.467911 - 0.392624i) q^{42} +(2.83022 - 2.37484i) q^{43} +(0.733956 - 4.16247i) q^{44} +(2.87939 - 4.98724i) q^{45} +(-1.87939 - 3.25519i) q^{46} +(3.45336 - 1.25692i) q^{47} +(-0.326352 + 0.118782i) q^{48} +(1.95336 + 3.38332i) q^{49} +(0.500000 - 0.866025i) q^{50} +(0.429892 - 2.43804i) q^{51} +(0.815207 - 0.684040i) q^{52} +(-7.57398 - 6.35532i) q^{53} +(-0.354570 - 2.01087i) q^{54} +(-7.94356 - 2.89122i) q^{55} -1.75877 q^{56} +6.36959 q^{58} +(6.85117 + 2.49362i) q^{59} +(0.120615 + 0.684040i) q^{60} +(4.06418 + 3.41025i) q^{61} +(-6.75877 + 5.67128i) q^{62} +(0.879385 - 4.98724i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-1.06418 - 1.84321i) q^{65} +(-1.37939 + 0.502055i) q^{66} +(10.9363 - 3.98048i) q^{67} +(-3.56418 - 6.17334i) q^{68} +(-0.652704 + 1.13052i) q^{69} +(-0.610815 + 3.46410i) q^{70} +(2.16250 - 1.81456i) q^{71} +(-2.20574 - 1.85083i) q^{72} +(0.137689 + 0.780873i) q^{73} +(6.06418 + 2.20718i) q^{74} -0.347296 q^{75} -7.43376 q^{77} +(-0.347296 - 0.126406i) q^{78} +(-1.16250 - 6.59289i) q^{79} +(1.53209 + 1.28558i) q^{80} +(6.07398 - 5.09667i) q^{81} +(0.326352 - 1.85083i) q^{82} +(-0.754900 + 1.30753i) q^{83} +(0.305407 + 0.528981i) q^{84} +(-13.3969 + 4.87608i) q^{85} +(-3.47178 + 1.26363i) q^{86} +(-1.10607 - 1.91576i) q^{87} +(-2.11334 + 3.66041i) q^{88} +(2.06758 - 11.7258i) q^{89} +(-4.41147 + 3.70167i) q^{90} +(-1.43376 - 1.20307i) q^{91} +(0.652704 + 3.70167i) q^{92} +(2.87939 + 1.04801i) q^{93} -3.67499 q^{94} +0.347296 q^{96} +(-1.76604 - 0.642788i) q^{97} +(-0.678396 - 3.84737i) q^{98} +(-9.32295 - 7.82288i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 6 q + 6 q^{3} + 6 q^{6} - 6 q^{7} - 3 q^{8} + 6 q^{9}+O(q^{10}) \) 6 * q + 6 * q^3 + 6 * q^6 - 6 * q^7 - 3 * q^8 + 6 * q^9	\( 6 q + 6 q^{3} + 6 q^{6} - 6 q^{7} - 3 q^{8} + 6 q^{9} - 6 q^{11} - 6 q^{13} - 6 q^{14} - 6 q^{15} - 12 q^{17} - 6 q^{18} + 12 q^{20} - 12 q^{21} + 9 q^{22} + 6 q^{23} - 3 q^{24} + 6 q^{26} + 3 q^{27} + 12 q^{28} + 6 q^{31} - 6 q^{33} + 24 q^{34} - 12 q^{35} + 6 q^{36} - 12 q^{37} - 12 q^{39} + 3 q^{41} - 12 q^{42} - 6 q^{43} + 9 q^{44} + 6 q^{45} - 6 q^{47} - 3 q^{48} - 15 q^{49} + 3 q^{50} - 6 q^{51} + 12 q^{52} - 30 q^{53} - 18 q^{54} - 18 q^{55} + 12 q^{56} + 24 q^{58} + 15 q^{59} + 12 q^{60} + 6 q^{61} - 18 q^{62} - 6 q^{63} - 3 q^{64} + 12 q^{65} + 3 q^{66} + 18 q^{67} - 3 q^{68} - 6 q^{69} - 12 q^{70} + 18 q^{71} - 3 q^{72} + 33 q^{73} + 18 q^{74} - 12 q^{77} - 12 q^{79} + 21 q^{81} + 3 q^{82} - 6 q^{83} + 6 q^{84} - 24 q^{85} - 6 q^{86} + 18 q^{87} - 6 q^{88} + 36 q^{89} - 6 q^{90} + 24 q^{91} + 6 q^{92} + 6 q^{93} - 12 q^{94} - 6 q^{97} - 36 q^{98} - 15 q^{99}+O(q^{100}) \) 6 * q + 6 * q^3 + 6 * q^6 - 6 * q^7 - 3 * q^8 + 6 * q^9 - 6 * q^11 - 6 * q^13 - 6 * q^14 - 6 * q^15 - 12 * q^17 - 6 * q^18 + 12 * q^20 - 12 * q^21 + 9 * q^22 + 6 * q^23 - 3 * q^24 + 6 * q^26 + 3 * q^27 + 12 * q^28 + 6 * q^31 - 6 * q^33 + 24 * q^34 - 12 * q^35 + 6 * q^36 - 12 * q^37 - 12 * q^39 + 3 * q^41 - 12 * q^42 - 6 * q^43 + 9 * q^44 + 6 * q^45 - 6 * q^47 - 3 * q^48 - 15 * q^49 + 3 * q^50 - 6 * q^51 + 12 * q^52 - 30 * q^53 - 18 * q^54 - 18 * q^55 + 12 * q^56 + 24 * q^58 + 15 * q^59 + 12 * q^60 + 6 * q^61 - 18 * q^62 - 6 * q^63 - 3 * q^64 + 12 * q^65 + 3 * q^66 + 18 * q^67 - 3 * q^68 - 6 * q^69 - 12 * q^70 + 18 * q^71 - 3 * q^72 + 33 * q^73 + 18 * q^74 - 12 * q^77 - 12 * q^79 + 21 * q^81 + 3 * q^82 - 6 * q^83 + 6 * q^84 - 24 * q^85 - 6 * q^86 + 18 * q^87 - 6 * q^88 + 36 * q^89 - 6 * q^90 + 24 * q^91 + 6 * q^92 + 6 * q^93 - 12 * q^94 - 6 * q^97 - 36 * q^98 - 15 * q^99

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