LMFDB - Embedded newform 74.2.h.a.25.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [74,2,Mod(3,74)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(74, base_ring=CyclotomicField(18))

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

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

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

chi := DirichletCharacter("74.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 74 = 2 \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	74.h (of order $18$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$0.590892974957$
Analytic rank:	$0$
Dimension:	$12$
Relative dimension:	$2$ over $\Q(\zeta_{18})$
Coefficient field:	$\Q(\zeta_{36})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{12} - x^{6} + 1 $ x^12 - x^6 + 1
Coefficient ring:	$\Z[a_1, a_2]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			25.2
Root			$0.642788 + 0.766044i$ of defining polynomial
Character	$\chi$	$=$	74.25
Dual form			74.2.h.a.3.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.642788 + 0.766044i) q^{2} +(1.43969 + 1.20805i) q^{3} +(-0.173648 + 0.984808i) q^{4} +(-1.45842 - 4.00698i) q^{5} +1.87939i q^{6} +(-3.39364 + 1.23518i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(0.0923963 + 0.524005i) q^{9} +O(q^{10})$	\(q+(0.642788 + 0.766044i) q^{2} +(1.43969 + 1.20805i) q^{3} +(-0.173648 + 0.984808i) q^{4} +(-1.45842 - 4.00698i) q^{5} +1.87939i q^{6} +(-3.39364 + 1.23518i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(0.0923963 + 0.524005i) q^{9} +(2.13207 - 3.69285i) q^{10} +(1.05840 + 1.83321i) q^{11} +(-1.43969 + 1.20805i) q^{12} +(2.84019 + 0.500802i) q^{13} +(-3.12760 - 1.80572i) q^{14} +(2.74094 - 7.53066i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(0.0263137 - 0.00463982i) q^{17} +(-0.342020 + 0.407604i) q^{18} +(-2.07522 + 2.47315i) q^{19} +(4.19936 - 0.740460i) q^{20} +(-6.37796 - 2.32139i) q^{21} +(-0.723990 + 1.98915i) q^{22} +(2.57421 + 1.48622i) q^{23} +(-1.85083 - 0.326352i) q^{24} +(-10.0987 + 8.47380i) q^{25} +(1.44200 + 2.49762i) q^{26} +(2.31908 - 4.01676i) q^{27} +(-0.627119 - 3.55657i) q^{28} +(4.96493 - 2.86650i) q^{29} +(7.53066 - 2.74094i) q^{30} -6.76932i q^{31} +(-0.342020 - 0.939693i) q^{32} +(-0.690823 + 3.91785i) q^{33} +(0.0204685 + 0.0171751i) q^{34} +(9.89872 + 11.7968i) q^{35} -0.532089 q^{36} +(-4.49375 + 4.09954i) q^{37} -3.22847 q^{38} +(3.48401 + 4.15208i) q^{39} +(3.26652 + 2.74094i) q^{40} +(0.259000 - 1.46886i) q^{41} +(-2.32139 - 6.37796i) q^{42} +5.53737i q^{43} +(-1.98915 + 0.723990i) q^{44} +(1.96493 - 1.13445i) q^{45} +(0.516159 + 2.92728i) q^{46} +(-1.30654 + 2.26300i) q^{47} +(-0.939693 - 1.62760i) q^{48} +(4.62880 - 3.88403i) q^{49} +(-12.9826 - 2.28918i) q^{50} +(0.0434888 + 0.0251083i) q^{51} +(-0.986387 + 2.71008i) q^{52} +(-1.79389 - 0.652924i) q^{53} +(4.56769 - 0.805407i) q^{54} +(5.80203 - 6.91459i) q^{55} +(2.32139 - 2.76652i) q^{56} +(-5.97536 + 1.05362i) q^{57} +(5.38726 + 1.96080i) q^{58} +(1.92380 - 5.28560i) q^{59} +(6.94029 + 4.00698i) q^{60} +(-5.65366 - 0.996892i) q^{61} +(5.18560 - 4.35124i) q^{62} +(-0.960802 - 1.66416i) q^{63} +(0.500000 - 0.866025i) q^{64} +(-2.13549 - 12.1110i) q^{65} +(-3.44530 + 1.98915i) q^{66} +(-6.50406 + 2.36728i) q^{67} +0.0267197i q^{68} +(1.91065 + 5.24947i) q^{69} +(-2.67412 + 15.1657i) q^{70} +(-7.10830 - 5.96457i) q^{71} +(-0.342020 - 0.407604i) q^{72} +16.2707 q^{73} +(-6.02896 - 0.807274i) q^{74} -24.7757 q^{75} +(-2.07522 - 2.47315i) q^{76} +(-5.85619 - 4.91392i) q^{77} +(-0.941199 + 5.33781i) q^{78} +(-0.484006 - 1.32980i) q^{79} +4.26414i q^{80} +(9.69119 - 3.52730i) q^{81} +(1.29170 - 0.745761i) q^{82} +(-0.294580 - 1.67065i) q^{83} +(3.39364 - 5.87796i) q^{84} +(-0.0569682 - 0.0986718i) q^{85} +(-4.24187 + 3.55935i) q^{86} +(10.6108 + 1.87098i) q^{87} +(-1.83321 - 1.05840i) q^{88} +(2.82882 - 7.77213i) q^{89} +(2.13207 + 0.776010i) q^{90} +(-10.2572 + 1.80861i) q^{91} +(-1.91065 + 2.27702i) q^{92} +(8.17765 - 9.74574i) q^{93} +(-2.57339 + 0.453757i) q^{94} +(12.9364 + 4.70847i) q^{95} +(0.642788 - 1.76604i) q^{96} +(5.65105 + 3.26264i) q^{97} +(5.95067 + 1.04926i) q^{98} +(-0.862818 + 0.723990i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 12 q + 6 q^{3} - 12 q^{7} - 6 q^{9}+O(q^{10}) $ 12 * q + 6 * q^3 - 12 * q^7 - 6 * q^9	$ 12 q + 6 q^{3} - 12 q^{7} - 6 q^{9} + 6 q^{10} - 6 q^{11} - 6 q^{12} + 6 q^{13} - 18 q^{14} - 18 q^{19} - 6 q^{21} - 18 q^{25} + 12 q^{26} - 6 q^{27} - 6 q^{28} + 18 q^{29} + 24 q^{30} - 6 q^{33} + 12 q^{34} + 18 q^{35} + 12 q^{36} + 30 q^{37} - 24 q^{38} + 30 q^{39} + 12 q^{40} + 24 q^{41} + 6 q^{44} - 18 q^{45} + 30 q^{46} + 6 q^{47} + 12 q^{49} - 36 q^{50} - 12 q^{52} - 12 q^{53} - 18 q^{55} - 36 q^{57} + 6 q^{58} - 36 q^{61} - 6 q^{63} + 6 q^{64} + 36 q^{65} - 30 q^{67} - 18 q^{69} - 12 q^{70} + 12 q^{71} - 48 q^{74} - 36 q^{75} - 18 q^{76} + 12 q^{77} - 6 q^{78} + 6 q^{79} + 24 q^{81} - 48 q^{83} + 12 q^{84} + 18 q^{85} - 36 q^{86} + 36 q^{87} - 36 q^{88} - 18 q^{89} + 6 q^{90} - 6 q^{91} + 18 q^{92} - 12 q^{93} + 36 q^{97} + 36 q^{98} + 30 q^{99}+O(q^{100}) $ 12 * q + 6 * q^3 - 12 * q^7 - 6 * q^9 + 6 * q^10 - 6 * q^11 - 6 * q^12 + 6 * q^13 - 18 * q^14 - 18 * q^19 - 6 * q^21 - 18 * q^25 + 12 * q^26 - 6 * q^27 - 6 * q^28 + 18 * q^29 + 24 * q^30 - 6 * q^33 + 12 * q^34 + 18 * q^35 + 12 * q^36 + 30 * q^37 - 24 * q^38 + 30 * q^39 + 12 * q^40 + 24 * q^41 + 6 * q^44 - 18 * q^45 + 30 * q^46 + 6 * q^47 + 12 * q^49 - 36 * q^50 - 12 * q^52 - 12 * q^53 - 18 * q^55 - 36 * q^57 + 6 * q^58 - 36 * q^61 - 6 * q^63 + 6 * q^64 + 36 * q^65 - 30 * q^67 - 18 * q^69 - 12 * q^70 + 12 * q^71 - 48 * q^74 - 36 * q^75 - 18 * q^76 + 12 * q^77 - 6 * q^78 + 6 * q^79 + 24 * q^81 - 48 * q^83 + 12 * q^84 + 18 * q^85 - 36 * q^86 + 36 * q^87 - 36 * q^88 - 18 * q^89 + 6 * q^90 - 6 * q^91 + 18 * q^92 - 12 * q^93 + 36 * q^97 + 36 * q^98 + 30 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/74\mathbb{Z}\right)^\times$.

$n$	$39$
$\chi(n)$	$e\left(\frac{5}{18}\right)$

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 $

$2$	0.642788	+	0.766044i	0.454519	+	0.541675i
$2$	0.642788	+	0.766044i	0.454519	+	0.541675i
$3$	1.43969	+	1.20805i	0.831207	+	0.697465i	0.955568	−	0.294772i	$-0.0952436\pi$
$3$	1.43969	+	1.20805i	0.831207	+	0.697465i	−0.124361	+	0.992237i	$0.539688\pi$
$4$	−0.173648	+	0.984808i	−0.0868241	+	0.492404i
$5$	−1.45842	−	4.00698i	−0.652226	−	1.79198i	−0.609358	−	0.792895i	$-0.708573\pi$
$5$	−1.45842	−	4.00698i	−0.652226	−	1.79198i	−0.0428683	−	0.999081i	$-0.513650\pi$
$6$			1.87939i			0.767256i
$7$	−3.39364	+	1.23518i	−1.28268	+	0.466856i	−0.891316	−	0.453382i	$-0.850217\pi$
$7$	−3.39364	+	1.23518i	−1.28268	+	0.466856i	−0.391359	+	0.920238i	$0.627995\pi$
$8$	−0.866025	+	0.500000i	−0.306186	+	0.176777i
$9$	0.0923963	+	0.524005i	0.0307988	+	0.174668i
$10$	2.13207	−	3.69285i	0.674220	−	1.16778i
$11$	1.05840	+	1.83321i	0.319120	+	0.552733i	0.980305	−	0.197491i	$-0.0632792\pi$
$11$	1.05840	+	1.83321i	0.319120	+	0.552733i	−0.661184	+	0.750223i	$0.729946\pi$
$12$	−1.43969	+	1.20805i	−0.415603	+	0.348733i
$13$	2.84019	+	0.500802i	0.787726	+	0.138897i	0.553019	−	0.833169i	$-0.313476\pi$
$13$	2.84019	+	0.500802i	0.787726	+	0.138897i	0.234707	+	0.972066i	$0.424587\pi$
$14$	−3.12760	−	1.80572i	−0.835885	−	0.482598i
$15$	2.74094	−	7.53066i	0.707707	−	1.94441i
$16$	−0.939693	−	0.342020i	−0.234923	−	0.0855050i
$17$	0.0263137	−	0.00463982i	0.00638202	−	0.00112532i	−0.170456	−	0.985365i	$-0.554524\pi$
$17$	0.0263137	−	0.00463982i	0.00638202	−	0.00112532i	0.176838	+	0.984240i	$0.443413\pi$
$18$	−0.342020	+	0.407604i	−0.0806149	+	0.0960731i
$19$	−2.07522	+	2.47315i	−0.476088	+	0.567380i	−0.949623	−	0.313395i	$-0.898534\pi$
$19$	−2.07522	+	2.47315i	−0.476088	+	0.567380i	0.473534	+	0.880775i	$0.342978\pi$
$20$	4.19936	−	0.740460i	0.939005	−	0.165572i
$21$	−6.37796	−	2.32139i	−1.39178	−	0.506568i
$22$	−0.723990	+	1.98915i	−0.154355	+	0.424087i
$23$	2.57421	+	1.48622i	0.536760	+	0.309899i	0.743765	−	0.668441i	$-0.233038\pi$
$23$	2.57421	+	1.48622i	0.536760	+	0.309899i	−0.207005	+	0.978340i	$0.566372\pi$
$24$	−1.85083	−	0.326352i	−0.377800	−	0.0666163i
$25$	−10.0987	+	8.47380i	−2.01974	+	1.69476i
$26$	1.44200	+	2.49762i	0.282800	+	0.489823i
$27$	2.31908	−	4.01676i	0.446307	−	0.773026i
$28$	−0.627119	−	3.55657i	−0.118514	−	0.672129i
$29$	4.96493	−	2.86650i	0.921964	−	0.532296i	0.0377027	−	0.999289i	$-0.487996\pi$
$29$	4.96493	−	2.86650i	0.921964	−	0.532296i	0.884261	+	0.466993i	$0.154663\pi$
$30$	7.53066	−	2.74094i	1.37490	−	0.500424i
$31$		−	6.76932i		−	1.21581i	−0.794011	−	0.607903i	$-0.792011\pi$
$31$		−	6.76932i		−	1.21581i	0.794011	−	0.607903i	$-0.207989\pi$
$32$	−0.342020	−	0.939693i	−0.0604612	−	0.166116i
$33$	−0.690823	+	3.91785i	−0.120257	+	0.682011i
$34$	0.0204685	+	0.0171751i	0.00351031	+	0.00294550i
$35$	9.89872	+	11.7968i	1.67319	+	1.99403i
$36$	−0.532089			−0.0886815
$37$	−4.49375	+	4.09954i	−0.738767	+	0.673961i
$37$	−4.49375	+	4.09954i	−0.738767	+	0.673961i
$38$	−3.22847			−0.523727
$39$	3.48401	+	4.15208i	0.557887	+	0.664864i
$40$	3.26652	+	2.74094i	0.516482	+	0.433380i
$41$	0.259000	−	1.46886i	0.0404490	−	0.229398i	−0.957881	−	0.287165i	$-0.907287\pi$
$41$	0.259000	−	1.46886i	0.0404490	−	0.229398i	0.998330	+	0.0577674i	$0.0183982\pi$
$42$	−2.32139	−	6.37796i	−0.358198	−	0.984140i
$43$			5.53737i			0.844441i	0.906493	+	0.422221i	$0.138749\pi$
$43$			5.53737i			0.844441i	−0.906493	+	0.422221i	$0.861251\pi$
$44$	−1.98915	+	0.723990i	−0.299875	+	0.109146i
$45$	1.96493	−	1.13445i	0.292914	−	0.169114i
$46$	0.516159	+	2.92728i	0.0761035	+	0.431605i
$47$	−1.30654	+	2.26300i	−0.190579	+	0.330092i	−0.945442	−	0.325790i	$-0.894370\pi$
$47$	−1.30654	+	2.26300i	−0.190579	+	0.330092i	0.754863	+	0.655882i	$0.227703\pi$
$48$	−0.939693	−	1.62760i	−0.135633	−	0.234923i
$49$	4.62880	−	3.88403i	0.661257	−	0.554861i
$50$	−12.9826	−	2.28918i	−1.83602	−	0.323740i
$51$	0.0434888	+	0.0251083i	0.00608965	+	0.00351586i
$52$	−0.986387	+	2.71008i	−0.136787	+	0.375820i
$53$	−1.79389	−	0.652924i	−0.246410	−	0.0896860i	0.215862	−	0.976424i	$-0.430744\pi$
$53$	−1.79389	−	0.652924i	−0.246410	−	0.0896860i	−0.462273	+	0.886738i	$0.652966\pi$
$54$	4.56769	−	0.805407i	0.621584	−	0.109602i
$55$	5.80203	−	6.91459i	0.782345	−	0.932363i
$56$	2.32139	−	2.76652i	0.310208	−	0.369692i
$57$	−5.97536	+	1.05362i	−0.791456	+	0.139555i
$58$	5.38726	+	1.96080i	0.707382	+	0.257466i
$59$	1.92380	−	5.28560i	0.250457	−	0.688126i	−0.749210	−	0.662333i	$-0.769567\pi$
$59$	1.92380	−	5.28560i	0.250457	−	0.688126i	0.999667	−	0.0257935i	$-0.00821124\pi$
$60$	6.94029	+	4.00698i	0.895988	+	0.517299i
$61$	−5.65366	−	0.996892i	−0.723876	−	0.127639i	−0.200443	−	0.979705i	$-0.564238\pi$
$61$	−5.65366	−	0.996892i	−0.723876	−	0.127639i	−0.523434	+	0.852066i	$0.675349\pi$
$62$	5.18560	−	4.35124i	0.658572	−	0.552608i
$63$	−0.960802	−	1.66416i	−0.121050	−	0.209664i
$64$	0.500000	−	0.866025i	0.0625000	−	0.108253i
$65$	−2.13549	−	12.1110i	−0.264875	−	1.50218i
$66$	−3.44530	+	1.98915i	−0.424087	+	0.244847i
$67$	−6.50406	+	2.36728i	−0.794597	+	0.289210i	−0.707246	−	0.706968i	$-0.750063\pi$
$67$	−6.50406	+	2.36728i	−0.794597	+	0.289210i	−0.0873516	+	0.996178i	$0.527840\pi$
$68$			0.0267197i			0.00324024i
$69$	1.91065	+	5.24947i	0.230015	+	0.631962i
$70$	−2.67412	+	15.1657i	−0.319619	+	1.81265i
$71$	−7.10830	−	5.96457i	−0.843600	−	0.707865i	0.114770	−	0.993392i	$-0.463387\pi$
$71$	−7.10830	−	5.96457i	−0.843600	−	0.707865i	−0.958371	+	0.285527i	$0.907831\pi$
$72$	−0.342020	−	0.407604i	−0.0403075	−	0.0480366i
$73$	16.2707			1.90434			0.952169	−	0.305571i	$-0.0988473\pi$
$73$	16.2707			1.90434			0.952169	+	0.305571i	$0.0988473\pi$
$74$	−6.02896	−	0.807274i	−0.700852	−	0.0938437i
$75$	−24.7757			−2.86085
$76$	−2.07522	−	2.47315i	−0.238044	−	0.283690i
$77$	−5.85619	−	4.91392i	−0.667374	−	0.559993i
$78$	−0.941199	+	5.33781i	−0.106570	+	0.604388i
$79$	−0.484006	−	1.32980i	−0.0544549	−	0.149614i	0.909483	−	0.415742i	$-0.136478\pi$
$79$	−0.484006	−	1.32980i	−0.0544549	−	0.149614i	−0.963938	+	0.266128i	$0.914256\pi$
$80$			4.26414i			0.476745i
$81$	9.69119	−	3.52730i	1.07680	−	0.391923i
$82$	1.29170	−	0.745761i	0.142644	−	0.0823556i
$83$	−0.294580	−	1.67065i	−0.0323343	−	0.183377i	0.964363	−	0.264583i	$-0.0852342\pi$
$83$	−0.294580	−	1.67065i	−0.0323343	−	0.183377i	−0.996697	+	0.0812054i	$0.974123\pi$
$84$	3.39364	−	5.87796i	0.370276	−	0.641338i
$85$	−0.0569682	−	0.0986718i	−0.00617907	−	0.0107025i
$86$	−4.24187	+	3.55935i	−0.457413	+	0.383815i
$87$	10.6108	+	1.87098i	1.13760	+	0.200590i
$88$	−1.83321	−	1.05840i	−0.195421	−	0.112826i
$89$	2.82882	−	7.77213i	0.299855	−	0.823844i	−0.694669	−	0.719330i	$-0.744449\pi$
$89$	2.82882	−	7.77213i	0.299855	−	0.823844i	0.994523	−	0.104514i	$-0.0333288\pi$
$90$	2.13207	+	0.776010i	0.224740	+	0.0817986i
$91$	−10.2572	+	1.80861i	−1.07524	+	0.189594i
$92$	−1.91065	+	2.27702i	−0.199199	+	0.237396i
$93$	8.17765	−	9.74574i	0.847983	−	1.01059i
$94$	−2.57339	+	0.453757i	−0.265425	+	0.0468015i
$95$	12.9364	+	4.70847i	1.32725	+	0.483079i
$96$	0.642788	−	1.76604i	0.0656042	−	0.180246i
$97$	5.65105	+	3.26264i	0.573777	+	0.331270i	0.758657	−	0.651491i	$-0.225856\pi$
$97$	5.65105	+	3.26264i	0.573777	+	0.331270i	−0.184879	+	0.982761i	$0.559189\pi$
$98$	5.95067	+	1.04926i	0.601109	+	0.105992i
$99$	−0.862818	+	0.723990i	−0.0867164	+	0.0727637i
$100$	−6.59144	−	11.4167i	−0.659144	−	1.14167i
$101$	−8.29974	+	14.3756i	−0.825855	+	1.43042i	0.0754083	+	0.997153i	$0.475974\pi$
$101$	−8.29974	+	14.3756i	−0.825855	+	1.43042i	−0.901264	+	0.433271i	$0.857359\pi$
$102$	0.00872001	+	0.0494537i	0.000863410	+	0.00489664i
$103$	1.64095	−	0.947403i	0.161688	−	0.0933504i	−0.416973	−	0.908919i	$-0.636909\pi$
$103$	1.64095	−	0.947403i	0.161688	−	0.0933504i	0.578660	+	0.815569i	$0.303576\pi$
$104$	−2.71008	+	0.986387i	−0.265745	+	0.0967232i
$105$			28.9419i			2.82444i
$106$	−0.652924	−	1.79389i	−0.0634176	−	0.174238i
$107$	0.0663781	−	0.376449i	0.00641702	−	0.0363927i	−0.981431	−	0.191815i	$-0.938563\pi$
$107$	0.0663781	−	0.376449i	0.00641702	−	0.0363927i	0.987848	+	0.155422i	$0.0496738\pi$
$108$	3.55303	+	2.98135i	0.341891	+	0.286880i
$109$	−0.620666	−	0.739681i	−0.0594490	−	0.0708485i	0.735500	−	0.677524i	$-0.236947\pi$
$109$	−0.620666	−	0.739681i	−0.0594490	−	0.0708485i	−0.794949	+	0.606676i	$0.792503\pi$
$110$	9.02635			0.860629
$111$	−11.4220	+	0.473431i	−1.08413	+	0.0449361i
$112$	3.61144			0.341249
$113$	1.21535	+	1.44839i	0.114330	+	0.136254i	0.820174	−	0.572114i	$-0.193876\pi$
$113$	1.21535	+	1.44839i	0.114330	+	0.136254i	−0.705844	+	0.708367i	$0.749432\pi$
$114$	−4.64801	−	3.90014i	−0.435326	−	0.365282i
$115$	2.20098	−	12.4824i	0.205242	−	1.16399i
$116$	1.96080	+	5.38726i	0.182056	+	0.500195i
$117$			1.53455i			0.141869i
$118$	5.28560	−	1.92380i	0.486579	−	0.177100i
$119$	−0.0835683	+	0.0482482i	−0.00766070	+	0.00442291i
$120$	1.39161	+	7.89221i	0.127036	+	0.720457i
$121$	3.25957	−	5.64574i	0.296324	−	0.513249i
$122$	−2.87044	−	4.97174i	−0.259877	−	0.450120i
$123$	2.14733	−	1.80183i	0.193619	−	0.162465i
$124$	6.66648	+	1.17548i	0.598668	+	0.105561i
$125$	30.2182	+	17.4465i	2.70280	+	1.56046i
$126$	0.657228	−	1.80572i	0.0585505	−	0.160866i
$127$	15.1426	+	5.51145i	1.34369	+	0.489062i	0.910972	−	0.412469i	$-0.135334\pi$
$127$	15.1426	+	5.51145i	1.34369	+	0.489062i	0.432715	+	0.901531i	$0.357556\pi$
$128$	0.984808	−	0.173648i	0.0870455	−	0.0153485i
$129$	−6.68940	+	7.97212i	−0.588969	+	0.701906i
$130$	7.90487	−	9.42065i	0.693303	−	0.826246i
$131$	−0.810446	+	0.142903i	−0.0708090	+	0.0124855i	−0.208940	−	0.977928i	$-0.567001\pi$
$131$	−0.810446	+	0.142903i	−0.0708090	+	0.0124855i	0.138131	+	0.990414i	$0.455890\pi$
$132$	−3.73837	−	1.36066i	−0.325384	−	0.118430i
$133$	3.98776	−	10.9563i	0.345782	−	0.950029i
$134$	−5.99417	−	3.46074i	−0.517818	−	0.298962i
$135$	−19.4773	−	3.43437i	−1.67634	−	0.295583i
$136$	−0.0204685	+	0.0171751i	−0.00175516	+	0.00147275i
$137$	−8.67847	−	15.0316i	−0.741452	−	1.28423i	−0.951834	−	0.306613i	$-0.900804\pi$
$137$	−8.67847	−	15.0316i	−0.741452	−	1.28423i	0.210382	−	0.977619i	$-0.432529\pi$
$138$	−2.79318	+	4.83793i	−0.237772	+	0.411832i
$139$	1.60198	+	9.08528i	0.135878	+	0.770604i	0.974244	+	0.225496i	$0.0724002\pi$
$139$	1.60198	+	9.08528i	0.135878	+	0.770604i	−0.838366	+	0.545108i	$0.816489\pi$
$140$	−13.3365	+	7.69983i	−1.12714	+	0.650755i
$141$	−4.61482	+	1.67966i	−0.388638	+	0.141453i
$142$		−	9.27923i		−	0.778696i
$143$	2.08799	+	5.73670i	0.174606	+	0.479727i
$144$	0.0923963	−	0.524005i	0.00769969	−	0.0436671i
$145$	−18.7270	−	15.7138i	−1.55519	−	1.30496i
$146$	10.4586	+	12.4641i	0.865559	+	1.03153i
$147$	11.3561			0.936638
$148$	−3.25693	−	5.13735i	−0.267718	−	0.422288i
$149$	−7.73776			−0.633902			−0.316951	−	0.948442i	$-0.602659\pi$
$149$	−7.73776			−0.633902			−0.316951	+	0.948442i	$0.602659\pi$
$150$	−15.9255	−	18.9793i	−1.30031	−	1.54965i
$151$	−9.68000	−	8.12248i	−0.787747	−	0.660998i	0.157440	−	0.987529i	$-0.449676\pi$
$151$	−9.68000	−	8.12248i	−0.787747	−	0.660998i	−0.945187	+	0.326530i	$0.894120\pi$
$152$	0.560618	−	3.17942i	0.0454721	−	0.257885i
$153$	0.00486258	+	0.0133598i	0.000393117	+	0.00108008i
$154$		−	7.64471i		−	0.616028i
$155$	−27.1245	+	9.87253i	−2.17870	+	0.792980i
$156$	−4.69399	+	2.71008i	−0.375820	+	0.216980i
$157$	2.26554	+	12.8485i	0.180810	+	1.02542i	0.931222	+	0.364453i	$0.118744\pi$
$157$	2.26554	+	12.8485i	0.180810	+	1.02542i	−0.750412	+	0.660971i	$0.770145\pi$
$158$	0.707569	−	1.22555i	0.0562912	−	0.0974992i
$159$	−1.79389	−	3.10712i	−0.142265	−	0.246410i
$160$	−3.26652	+	2.74094i	−0.258241	+	0.216690i
$161$	−10.5717	−	1.86408i	−0.833167	−	0.146910i
$162$	8.93145	+	5.15657i	0.701721	+	0.405139i
$163$	−8.63820	+	23.7332i	−0.676596	+	1.85893i	−0.200038	+	0.979788i	$0.564107\pi$
$163$	−8.63820	+	23.7332i	−0.676596	+	1.85893i	−0.476558	+	0.879143i	$0.658116\pi$
$164$	1.40157	+	0.510131i	0.109444	+	0.0398345i
$165$	16.7063	−	2.94577i	1.30058	−	0.229328i
$166$	1.09044	−	1.29953i	0.0846343	−	0.100863i
$167$	−6.60851	+	7.87572i	−0.511382	+	0.609441i	−0.958521	−	0.285023i	$-0.907999\pi$
$167$	−6.60851	+	7.87572i	−0.511382	+	0.609441i	0.447139	+	0.894465i	$0.352443\pi$
$168$	6.68417	−	1.17860i	0.515695	−	0.0909309i
$169$	−4.40014	−	1.60152i	−0.338472	−	0.123194i
$170$	0.0389686	−	0.107065i	0.00298875	−	0.00821153i
$171$	−1.48769	−	0.858917i	−0.113766	−	0.0656830i
$172$	−5.45325	−	0.961555i	−0.415806	−	0.0733179i
$173$	18.1222	−	15.2064i	1.37781	−	1.15612i	0.407792	−	0.913075i	$-0.366299\pi$
$173$	18.1222	−	15.2064i	1.37781	−	1.15612i	0.970016	−	0.243043i	$-0.0781456\pi$
$174$	5.38726	+	9.33101i	0.408407	+	0.707382i
$175$	23.8046	−	41.2307i	1.79946	−	3.11675i
$176$	−0.367579	−	2.08465i	−0.0277073	−	0.157136i
$177$	9.15492	−	5.28560i	0.688126	−	0.397290i
$178$	7.77213	−	2.82882i	0.582546	−	0.212029i
$179$		−	5.05746i		−	0.378013i	−0.981976	−	0.189006i	$-0.939473\pi$
$179$		−	5.05746i		−	0.378013i	0.981976	−	0.189006i	$-0.0605267\pi$
$180$	0.776010	+	2.13207i	0.0578404	+	0.158915i
$181$	−0.181540	+	1.02956i	−0.0134938	+	0.0765269i	−0.990811	−	0.135254i	$-0.956815\pi$
$181$	−0.181540	+	1.02956i	−0.0134938	+	0.0765269i	0.977317	+	0.211781i	$0.0679262\pi$
$182$	−7.97865	−	6.69488i	−0.591417	−	0.496258i
$183$	−6.93524	−	8.26509i	−0.512667	−	0.610973i
$184$	−2.97244			−0.219131
$185$	22.9806	+	12.0275i	1.68956	+	0.884279i
$186$	12.7222			0.932834
$187$	0.0363563	+	0.0433277i	0.00265864	+	0.00316844i
$188$	−2.00174	−	1.67966i	−0.145992	−	0.122502i
$189$	−2.90868	+	16.4959i	−0.211575	+	1.19990i
$190$	4.70847	+	12.9364i	0.341588	+	0.938507i
$191$			13.4633i			0.974173i	0.873354	+	0.487087i	$0.161940\pi$
$191$			13.4633i			0.974173i	−0.873354	+	0.487087i	$0.838060\pi$
$192$	1.76604	−	0.642788i	0.127453	−	0.0463892i
$193$	3.91641	−	2.26114i	0.281909	−	0.162760i	−0.352378	−	0.935858i	$-0.614627\pi$
$193$	3.91641	−	2.26114i	0.281909	−	0.162760i	0.634288	+	0.773097i	$0.281294\pi$
$194$	1.13310	+	6.42614i	0.0813519	+	0.461370i
$195$	11.5561	−	20.0158i	0.827552	−	1.43336i
$196$	3.02124	+	5.23293i	0.215803	+	0.373781i
$197$	−9.47751	+	7.95257i	−0.675245	+	0.566597i	−0.914613	−	0.404331i	$-0.867504\pi$
$197$	−9.47751	+	7.95257i	−0.675245	+	0.566597i	0.239368	+	0.970929i	$0.423060\pi$
$198$	−1.10922	−	0.195585i	−0.0788286	−	0.0138996i
$199$	−3.90547	−	2.25483i	−0.276852	−	0.159840i	0.355146	−	0.934811i	$-0.384431\pi$
$199$	−3.90547	−	2.25483i	−0.276852	−	0.159840i	−0.631997	+	0.774971i	$0.717765\pi$
$200$	4.50881	−	12.3879i	0.318821	−	0.875954i
$201$	−12.2236	−	4.44904i	−0.862189	−	0.313811i
$202$	−16.3473	+	2.88247i	−1.15019	+	0.202810i
$203$	−13.3085	+	15.8605i	−0.934075	+	1.11319i
$204$	−0.0322786	+	0.0384681i	−0.00225995	+	0.00269331i
$205$	−6.26344	+	1.10441i	−0.437457	+	0.0771356i
$206$	1.78053	+	0.648062i	0.124056	+	0.0451526i
$207$	−0.540940	+	1.48622i	−0.0375980	+	0.103300i
$208$	−2.49762	−	1.44200i	−0.173179	−	0.0999848i
$209$	−6.73022	−	1.18672i	−0.465539	−	0.0820871i
$210$	−22.1708	+	18.6035i	−1.52993	+	1.28376i
$211$	8.12299	+	14.0694i	0.559209	+	0.968579i	0.997563	+	0.0697764i	$0.0222286\pi$
$211$	8.12299	+	14.0694i	0.559209	+	0.968579i	−0.438353	+	0.898803i	$0.644438\pi$
$212$	0.954511	−	1.65326i	0.0655561	−	0.113546i
$213$	−3.02829	−	17.1743i	−0.207495	−	1.17676i
$214$	0.331044	−	0.191128i	0.0226297	−	0.0130653i
$215$	22.1881	−	8.07582i	1.51322	−	0.550767i
$216$			4.63816i			0.315587i
$217$	8.36136	+	22.9726i	0.567606	+	1.55948i
$218$	0.167672	−	0.950915i	0.0113562	−	0.0644041i
$219$	23.4248	+	19.6557i	1.58290	+	1.32821i
$220$	5.80203	+	6.91459i	0.391173	+	0.466181i
$221$	0.0770596			0.00518359
$222$	−7.70462	−	8.44548i	−0.517100	−	0.566824i
$223$	−0.847777			−0.0567713			−0.0283857	−	0.999597i	$-0.509037\pi$
$223$	−0.847777			−0.0567713			−0.0283857	+	0.999597i	$0.509037\pi$
$224$	2.32139	+	2.76652i	0.155104	+	0.184846i
$225$	−5.37339	−	4.50881i	−0.358226	−	0.300588i
$226$	−0.328324	+	1.86202i	−0.0218398	+	0.123860i
$227$	−4.14827	−	11.3973i	−0.275331	−	0.756464i	−0.997876	−	0.0651411i	$-0.979250\pi$
$227$	−4.14827	−	11.3973i	−0.275331	−	0.756464i	0.722546	−	0.691323i	$-0.242972\pi$
$228$		−	6.06754i		−	0.401833i
$229$	−12.4674	+	4.53775i	−0.823867	+	0.299863i	−0.719339	−	0.694659i	$-0.755555\pi$
$229$	−12.4674	+	4.53775i	−0.823867	+	0.299863i	−0.104528	+	0.994522i	$0.533333\pi$
$230$	10.9768	−	6.33746i	0.723788	−	0.417879i
$231$	−2.49486	−	14.1491i	−0.164150	−	0.930941i
$232$	−2.86650	+	4.96493i	−0.188195	+	0.325963i
$233$	−2.15328	−	3.72960i	−0.141066	−	0.244334i	0.786832	−	0.617167i	$-0.211720\pi$
$233$	−2.15328	−	3.72960i	−0.141066	−	0.244334i	−0.927898	+	0.372833i	$0.878386\pi$
$234$	−1.17553	+	0.986387i	−0.0768468	+	0.0644821i
$235$	10.9733	+	1.93489i	0.715818	+	0.126218i
$236$	4.87123	+	2.81241i	0.317090	+	0.183072i
$237$	0.909634	−	2.49920i	0.0590871	−	0.162340i
$238$	−0.0906770	−	0.0330037i	−0.00587771	−	0.00213931i
$239$	−14.0259	+	2.47315i	−0.907262	+	0.159975i	−0.607760	−	0.794121i	$-0.707932\pi$
$239$	−14.0259	+	2.47315i	−0.907262	+	0.159975i	−0.299502	+	0.954096i	$0.596821\pi$
$240$	−5.15127	+	6.13905i	−0.332513	+	0.396274i
$241$	9.16681	−	10.9246i	0.590486	−	0.703714i	−0.385213	−	0.922828i	$-0.625872\pi$
$241$	9.16681	−	10.9246i	0.590486	−	0.703714i	0.975699	+	0.219114i	$0.0703166\pi$
$242$	6.42010	−	1.13204i	0.412699	−	0.0727700i
$243$	5.13816	+	1.87014i	0.329613	+	0.119969i
$244$	1.96349	−	5.39466i	0.125700	−	0.345357i
$245$	−22.3140	−	12.8830i	−1.42559	−	0.823063i
$246$	2.76056	+	0.486761i	0.176007	+	0.0310348i
$247$	−7.13258	+	5.98494i	−0.453835	+	0.380813i
$248$	3.38466	+	5.86241i	0.214926	+	0.372263i
$249$	1.59411	−	2.76108i	0.101023	−	0.174976i
$250$	6.05910	+	34.3629i	0.383211	+	2.17330i
$251$	21.3974	−	12.3538i	1.35059	−	0.779764i	0.362258	−	0.932078i	$-0.382006\pi$
$251$	21.3974	−	12.3538i	1.35059	−	0.779764i	0.988332	+	0.152314i	$0.0486725\pi$
$252$	1.80572	−	0.657228i	0.113750	−	0.0414014i
$253$			6.29208i			0.395580i
$254$	5.51145	+	15.1426i	0.345819	+	0.950130i
$255$	0.0371834	−	0.210877i	0.00232851	−	0.0132057i
$256$	0.766044	+	0.642788i	0.0478778	+	0.0401742i
$257$	−10.5496	−	12.5726i	−0.658068	−	0.784255i	0.329039	−	0.944316i	$-0.393275\pi$
$257$	−10.5496	−	12.5726i	−0.658068	−	0.784255i	−0.987107	+	0.160062i	$0.948831\pi$
$258$	−10.4069			−0.647903
$259$	10.1865	−	19.4630i	0.632956	−	1.20937i
$260$	12.2978			0.762676
$261$	1.96080	+	2.33679i	0.121371	+	0.144644i
$262$	−0.630415	−	0.528981i	−0.0389472	−	0.0326806i
$263$	−4.88671	+	27.7139i	−0.301327	+	1.70891i	0.338980	+	0.940793i	$0.389918\pi$
$263$	−4.88671	+	27.7139i	−0.301327	+	1.70891i	−0.640308	+	0.768118i	$0.721193\pi$
$264$	−1.36066	−	3.73837i	−0.0837426	−	0.230081i
$265$			8.14034i			0.500057i
$266$	10.9563	−	3.98776i	0.671772	−	0.244505i
$267$	13.4617	−	7.77213i	0.823844	−	0.475647i
$268$	−1.20190	−	6.81632i	−0.0734178	−	0.416373i
$269$	−11.5852	+	20.0661i	−0.706359	+	1.22345i	0.259840	+	0.965652i	$0.416330\pi$
$269$	−11.5852	+	20.0661i	−0.706359	+	1.22345i	−0.966199	+	0.257798i	$0.917003\pi$
$270$	−9.88887	−	17.1280i	−0.601818	−	1.04238i
$271$	8.12679	−	6.81919i	0.493667	−	0.414236i	−0.361671	−	0.932306i	$-0.617794\pi$
$271$	8.12679	−	6.81919i	0.493667	−	0.414236i	0.855338	+	0.518070i	$0.173349\pi$
$272$	−0.0263137	−	0.00463982i	−0.00159551	−	0.000281331i
$273$	−16.9520	−	9.78726i	−1.02598	−	0.592352i
$274$	5.93642	−	16.3102i	0.358632	−	0.985335i
$275$	−26.2227	−	9.54428i	−1.58129	−	0.575542i
$276$	−5.50150	+	0.970062i	−0.331151	+	0.0583909i
$277$	15.4537	−	18.4170i	0.928521	−	1.10657i	−0.0655519	−	0.997849i	$-0.520881\pi$
$277$	15.4537	−	18.4170i	0.928521	−	1.10657i	0.994073	−	0.108719i	$-0.0346748\pi$
$278$	−5.93000	+	7.06710i	−0.355658	+	0.423856i
$279$	3.54716	−	0.625460i	0.212363	−	0.0374453i
$280$	−14.4710	−	5.26700i	−0.864805	−	0.314763i
$281$	4.35215	−	11.9574i	0.259628	−	0.713321i	−0.739563	−	0.673088i	$-0.764968\pi$
$281$	4.35215	−	11.9574i	0.259628	−	0.713321i	0.999190	−	0.0402335i	$-0.0128102\pi$
$282$	−4.25305	−	2.45550i	−0.253265	−	0.146223i
$283$	−0.253793	−	0.0447506i	−0.0150864	−	0.00266015i	0.166100	−	0.986109i	$-0.446883\pi$
$283$	−0.253793	−	0.0447506i	−0.0150864	−	0.00266015i	−0.181186	+	0.983449i	$0.557994\pi$
$284$	7.10830	−	5.96457i	0.421800	−	0.353932i
$285$	12.9364	+	22.4065i	0.766287	+	1.32725i
$286$	−3.05244	+	5.28697i	−0.180494	+	0.312625i
$287$	0.935363	+	5.30471i	0.0552127	+	0.313127i
$288$	0.460802	−	0.266044i	0.0271530	−	0.0156768i
$289$	−15.9741	+	5.81410i	−0.939653	+	0.342006i
$290$		−	24.4463i		−	1.43554i
$291$	4.19436	+	11.5239i	0.245878	+	0.675544i
$292$	−2.82537	+	16.0235i	−0.165342	+	0.937704i
$293$	−6.87967	−	5.77273i	−0.401914	−	0.337246i	0.419319	−	0.907839i	$-0.362269\pi$
$293$	−6.87967	−	5.77273i	−0.401914	−	0.337246i	−0.821233	+	0.570593i	$0.806713\pi$
$294$	7.29958	+	8.69930i	0.425720	+	0.507353i
$295$	−23.9850			−1.39646
$296$	1.84193	−	5.79718i	0.107060	−	0.336954i
$297$	9.81807			0.569702
$298$	−4.97374	−	5.92747i	−0.288121	−	0.343369i
$299$	6.56694	+	5.51032i	0.379776	+	0.318670i
$300$	4.30226	−	24.3993i	0.248391	−	1.40870i
$301$	−6.83967	−	18.7918i	−0.394232	−	1.08314i
$302$		−	12.6363i		−	0.727140i
$303$	−29.3154	+	10.6699i	−1.68413	+	0.612972i
$304$	2.79594	−	1.61424i	0.160358	−	0.0925828i
$305$	4.25089	+	24.1080i	0.243405	+	1.38042i
$306$	−0.00710862	+	0.0123125i	−0.000406373	+	0.000703858i
$307$	7.39912	+	12.8157i	0.422290	+	0.731428i	0.996163	−	0.0875163i	$-0.0278930\pi$
$307$	7.39912	+	12.8157i	0.422290	+	0.731428i	−0.573873	+	0.818944i	$0.694560\pi$
$308$	5.85619	−	4.91392i	0.333687	−	0.279997i
$309$	3.50697	+	0.618373i	0.199504	+	0.0351780i
$310$	−24.9981	−	14.4327i	−1.41980	−	0.819721i
$311$	9.13738	−	25.1047i	0.518133	−	1.42356i	−0.354441	−	0.935078i	$-0.615329\pi$
$311$	9.13738	−	25.1047i	0.518133	−	1.42356i	0.872574	−	0.488481i	$-0.162449\pi$
$312$	−5.09328	−	1.85380i	−0.288350	−	0.104951i
$313$	9.37905	−	1.65378i	0.530135	−	0.0934772i	0.0978278	−	0.995203i	$-0.468811\pi$
$313$	9.37905	−	1.65378i	0.530135	−	0.0934772i	0.432308	+	0.901726i	$0.357699\pi$
$314$	−8.38628	+	9.99438i	−0.473265	+	0.564016i
$315$	−5.26700	+	6.27696i	−0.296762	+	0.353667i
$316$	1.39364	−	0.245736i	0.0783984	−	0.0138237i
$317$	14.2417	+	5.18354i	0.799891	+	0.291137i	0.709441	−	0.704764i	$-0.248947\pi$
$317$	14.2417	+	5.18354i	0.799891	+	0.291137i	0.0904498	+	0.995901i	$0.471170\pi$
$318$	1.22710	−	3.37142i	0.0688121	−	0.189060i
$319$	10.5098	+	6.06783i	0.588435	+	0.339733i
$320$	−4.19936	−	0.740460i	−0.234751	−	0.0413930i
$321$	0.550332	−	0.461783i	0.0307165	−	0.0257742i
$322$	−5.36739	−	9.29660i	−0.299113	−	0.518079i
$323$	−0.0431318	+	0.0747066i	−0.00239992	+	0.00415678i
$324$	1.79086	+	10.1565i	0.0994922	+	0.564248i
$325$	−32.9258	+	19.0097i	−1.82640	+	1.05447i
$326$	−23.7332	+	8.63820i	−1.31446	+	0.478425i
$327$		−	1.81470i		−	0.100353i
$328$	0.510131	+	1.40157i	0.0281673	+	0.0773889i
$329$	1.63872	−	9.29362i	0.0903453	−	0.512374i
$330$	12.9952	+	10.9042i	0.715361	+	0.600259i
$331$	1.32812	+	1.58279i	0.0729998	+	0.0869978i	0.801308	−	0.598252i	$-0.204138\pi$
$331$	1.32812	+	1.58279i	0.0729998	+	0.0869978i	−0.728309	+	0.685249i	$0.759693\pi$
$332$	1.69642			0.0931030
$333$	−2.56339	−	1.97596i	−0.140473	−	0.108282i
$334$	−10.2810			−0.562552
$335$	18.9713	+	22.6091i	1.03651	+	1.23527i
$336$	5.19936	+	4.36278i	0.283648	+	0.238009i
$337$	−2.41835	+	13.7152i	−0.131736	+	0.747112i	0.845341	+	0.534227i	$0.179397\pi$
$337$	−2.41835	+	13.7152i	−0.131736	+	0.747112i	−0.977077	+	0.212885i	$0.931714\pi$
$338$	−1.60152	−	4.40014i	−0.0871112	−	0.239336i
$339$			3.55344i			0.192996i
$340$	0.107065	−	0.0389686i	0.00580643	−	0.00211337i
$341$	12.4096	−	7.16467i	0.672016	−	0.387989i
$342$	−0.298299	−	1.69174i	−0.0161301	−	0.0914786i
$343$	1.72903	−	2.99477i	0.0933588	−	0.161702i
$344$	−2.76869	−	4.79551i	−0.149278	−	0.258556i
$345$	18.2480	−	15.3119i	0.982438	−	0.824363i
$346$	23.2975	+	4.10798i	1.25248	+	0.220846i
$347$	−17.5037	−	10.1058i	−0.939647	−	0.542505i	−0.0497972	−	0.998759i	$-0.515857\pi$
$347$	−17.5037	−	10.1058i	−0.939647	−	0.542505i	−0.889850	+	0.456254i	$0.849191\pi$
$348$	−3.68510	+	10.1247i	−0.197542	+	0.542743i
$349$	−10.3271	−	3.75877i	−0.552799	−	0.201202i	0.0504906	−	0.998725i	$-0.483922\pi$
$349$	−10.3271	−	3.75877i	−0.552799	−	0.201202i	−0.603290	+	0.797522i	$0.706144\pi$
$350$	46.8859	−	8.26724i	2.50615	−	0.441903i
$351$	8.59822	−	10.2470i	0.458939	−	0.546942i
$352$	1.36066	−	1.62157i	0.0725232	−	0.0864298i
$353$	−4.29024	+	0.756485i	−0.228346	+	0.0402636i	−0.286650	−	0.958035i	$-0.592542\pi$
$353$	−4.29024	+	0.756485i	−0.228346	+	0.0402636i	0.0583041	+	0.998299i	$0.481431\pi$
$354$	9.93368	+	3.61556i	0.527969	+	0.192165i
$355$	−13.5330	+	37.1817i	−0.718259	+	1.97340i
$356$	7.16283	+	4.13546i	0.379629	+	0.219179i
$357$	−0.178599	−	0.0314918i	−0.00945245	−	0.00166672i
$358$	3.87424	−	3.25088i	0.204760	−	0.171814i
$359$	−3.84332	−	6.65683i	−0.202843	−	0.351334i	0.746600	−	0.665273i	$-0.231685\pi$
$359$	−3.84332	−	6.65683i	−0.202843	−	0.351334i	−0.949443	+	0.313939i	$0.898351\pi$
$360$	−1.13445	+	1.96493i	−0.0597908	+	0.103561i
$361$	1.48938	+	8.44667i	0.0783882	+	0.444562i
$362$	−0.905384	+	0.522724i	−0.0475859	+	0.0274737i
$363$	11.5131	−	4.19042i	0.604280	−	0.219940i
$364$		−	10.4154i		−	0.545915i
$365$	−23.7295	−	65.1963i	−1.24206	−	3.41253i
$366$	1.87354	−	10.6254i	0.0979317	−	0.555398i
$367$	15.8706	+	13.3170i	0.828440	+	0.695143i	0.954932	−	0.296824i	$-0.0959275\pi$
$367$	15.8706	+	13.3170i	0.828440	+	0.695143i	−0.126492	+	0.991968i	$0.540372\pi$
$368$	−1.91065	−	2.27702i	−0.0995995	−	0.118698i
$369$	0.793623			0.0413143
$370$	5.55803	+	25.3353i	0.288948	+	1.31712i
$371$	6.89431			0.357935
$372$	8.17765	+	9.74574i	0.423991	+	0.505293i
$373$	11.9553	+	10.0317i	0.619023	+	0.519422i	0.897496	−	0.441022i	$-0.145384\pi$
$373$	11.9553	+	10.0317i	0.619023	+	0.519422i	−0.278473	+	0.960444i	$0.589828\pi$
$374$	−0.00982160	+	0.0557011i	−0.000507863	+	0.00288023i
$375$	22.4288	+	61.6225i	1.15822	+	3.18217i
$376$		−	2.61309i		−	0.134760i
$377$	15.5369	−	5.65496i	0.800190	−	0.291245i
$378$	−14.5063	+	8.37520i	−0.746122	+	0.430774i
$379$	−4.37193	−	24.7944i	−0.224571	−	1.27360i	−0.863504	−	0.504342i	$-0.831735\pi$
$379$	−4.37193	−	24.7944i	−0.224571	−	1.27360i	0.638933	−	0.769262i	$-0.279376\pi$
$380$	−6.88333	+	11.9223i	−0.353107	+	0.611600i
$381$	15.1426	+	26.2277i	0.775778	+	1.34369i
$382$	−10.3135	+	8.65407i	−0.527685	+	0.442781i
$383$	−29.7545	−	5.24652i	−1.52038	−	0.268085i	−0.649801	−	0.760105i	$-0.725148\pi$
$383$	−29.7545	−	5.24652i	−1.52038	−	0.268085i	−0.870584	+	0.492020i	$0.836259\pi$
$384$	1.62760	+	0.939693i	0.0830579	+	0.0479535i
$385$	−11.1492	+	30.6322i	−0.568216	+	1.56116i
$386$	4.24956	+	1.54671i	0.216297	+	0.0787255i
$387$	−2.90161	+	0.511633i	−0.147497	+	0.0260077i
$388$	−4.19436	+	4.99865i	−0.212937	+	0.253768i
$389$	16.0701	−	19.1516i	0.814786	−	0.971024i	−0.185146	−	0.982711i	$-0.559276\pi$
$389$	16.0701	−	19.1516i	0.814786	−	0.971024i	0.999932	+	0.0116872i	$0.00372024\pi$
$390$	22.7612	−	4.01341i	1.15256	−	0.203227i
$391$	0.0746329	+	0.0271642i	0.00377435	+	0.00137375i
$392$	−2.06665	+	5.67806i	−0.104381	+	0.286786i
$393$	−1.33943	−	0.773318i	−0.0675651	−	0.0390088i
$394$	−12.1841	−	2.14838i	−0.613824	−	0.108234i
$395$	−4.62258	+	3.87881i	−0.232587	+	0.195164i
$396$	−0.563164	−	0.975429i	−0.0283001	−	0.0490172i
$397$	−6.83681	+	11.8417i	−0.343130	+	0.594318i	−0.985012	−	0.172485i	$-0.944820\pi$
$397$	−6.83681	+	11.8417i	−0.343130	+	0.594318i	0.641882	+	0.766803i	$0.278154\pi$
$398$	−0.783093	−	4.44114i	−0.0392529	−	0.222614i
$399$	18.9768	−	10.9563i	0.950029	−	0.548499i
$400$	12.3879	−	4.50881i	0.619393	−	0.225441i
$401$			1.62020i			0.0809089i	0.999181	+	0.0404544i	$0.0128806\pi$
$401$			1.62020i			0.0809089i	−0.999181	+	0.0404544i	$0.987119\pi$
$402$	−4.44904	−	12.2236i	−0.221898	−	0.609659i
$403$	3.39009	−	19.2261i	0.168872	−	0.957723i
$404$	−12.7159	−	10.6699i	−0.632642	−	0.530850i
$405$	−28.2677	−	33.6881i	−1.40463	−	1.67398i
$406$	−20.7044			−1.02754
$407$	−12.2715	−	3.89900i	−0.608276	−	0.193266i
$408$	−0.0502166			−0.00248609
$409$	−5.86780	−	6.99297i	−0.290144	−	0.345780i	0.601208	−	0.799093i	$-0.294686\pi$
$409$	−5.86780	−	6.99297i	−0.290144	−	0.345780i	−0.891351	+	0.453313i	$0.850242\pi$
$410$	−4.87209	−	4.08817i	−0.240615	−	0.201900i
$411$	5.66447	−	32.1248i	0.279408	−	1.58460i
$412$	0.648062	+	1.78053i	0.0319277	+	0.0877206i
$413$			20.3137i			0.999570i
$414$	−1.48622	+	0.540940i	−0.0730438	+	0.0265858i
$415$	−6.26462	+	3.61688i	−0.307518	+	0.177546i
$416$	−0.500802	−	2.84019i	−0.0245538	−	0.139252i
$417$	−8.66908	+	15.0153i	−0.424526	+	0.735301i
$418$	−3.41702	−	5.91846i	−0.167132	−	0.289481i
$419$	10.9146	−	9.15844i	0.533213	−	0.447419i	−0.335996	−	0.941863i	$-0.609073\pi$
$419$	10.9146	−	9.15844i	0.533213	−	0.447419i	0.869209	+	0.494444i	$0.164628\pi$
$420$	−28.5022	−	5.02571i	−1.39077	−	0.245230i
$421$	29.2667	+	16.8971i	1.42637	+	0.823516i	0.996832	−	0.0795325i	$-0.0253427\pi$
$421$	29.2667	+	16.8971i	1.42637	+	0.823516i	0.429539	+	0.903048i	$0.358676\pi$
$422$	−5.55645	+	15.2662i	−0.270484	+	0.743148i
$423$	−1.30654	−	0.475543i	−0.0635263	−	0.0231217i
$424$	1.88002	−	0.331498i	0.0913018	−	0.0160990i
$425$	−0.226417	+	0.269833i	−0.0109828	+	0.0130888i
$426$	11.2097	−	13.3592i	0.543113	−	0.647257i
$427$	20.4178	−	3.60021i	0.988087	−	0.174226i
$428$	0.359204	+	0.130739i	0.0173628	+	0.00631953i
$429$	−3.92414	+	10.7815i	−0.189459	+	0.520534i
$430$	20.4487	+	11.8061i	0.986124	+	0.569339i
$431$	38.2487	+	6.74428i	1.84238	+	0.324861i	0.982589	−	0.185791i	$-0.0594849\pi$
$431$	38.2487	+	6.74428i	1.84238	+	0.324861i	0.859787	+	0.510652i	$0.170596\pi$
$432$	−3.55303	+	2.98135i	−0.170945	+	0.143440i
$433$	−9.05610	−	15.6856i	−0.435208	−	0.753803i	0.562104	−	0.827066i	$-0.309992\pi$
$433$	−9.05610	−	15.6856i	−0.435208	−	0.753803i	−0.997313	+	0.0732633i	$0.976659\pi$
$434$	−12.2235	+	21.1717i	−0.586746	+	1.01627i
$435$	−7.97810	−	45.2461i	−0.382521	−	2.16938i
$436$	0.836221	−	0.482792i	0.0400477	−	0.0231216i
$437$	−9.01771	+	3.28218i	−0.431376	+	0.157008i
$438$			30.5789i			1.46111i
$439$	−4.90855	−	13.4861i	−0.234273	−	0.643659i	−1.00000		0.000493184i	$-0.999843\pi$
$439$	−4.90855	−	13.4861i	−0.234273	−	0.643659i	0.765727	−	0.643165i	$-0.222379\pi$
$440$	−1.56741	+	8.88922i	−0.0747233	+	0.423777i
$441$	2.46293	+	2.06665i	0.117283	+	0.0984117i
$442$	0.0495330	+	0.0590311i	0.00235604	+	0.00280782i
$443$	5.43539			0.258243			0.129121	−	0.991629i	$-0.458784\pi$
$443$	5.43539			0.258243			0.129121	+	0.991629i	$0.458784\pi$
$444$	1.51718	−	11.3307i	0.0720021	−	0.537733i
$445$	−35.2684			−1.67188
$446$	−0.544940	−	0.649435i	−0.0258037	−	0.0307516i
$447$	−11.1400	−	9.34757i	−0.526904	−	0.442125i
$448$	−0.627119	+	3.55657i	−0.0296286	+	0.168032i
$449$	−0.0445442	−	0.122384i	−0.00210217	−	0.00577566i	0.938637	−	0.344906i	$-0.112089\pi$
$449$	−0.0445442	−	0.122384i	−0.00210217	−	0.00577566i	−0.940739	+	0.339131i	$0.889867\pi$
$450$		−	7.01447i		−	0.330665i
$451$	2.96686	−	1.07985i	0.139704	−	0.0508480i
$452$	−1.63743	+	0.945373i	−0.0770184	+	0.0444666i
$453$	−4.12389	−	23.3878i	−0.193757	−	1.09885i
$454$	6.06437	−	10.5038i	0.284615	−	0.492968i
$455$	22.2063	+	38.4625i	1.04105	+	1.80315i
$456$	4.64801	−	3.90014i	0.217663	−	0.182641i
$457$	27.8381	+	4.90861i	1.30221	+	0.229615i	0.781386	−	0.624048i	$-0.214513\pi$
$457$	27.8381	+	4.90861i	1.30221	+	0.229615i	0.520825	+	0.853663i	$0.325624\pi$
$458$	−11.4900	−	6.63375i	−0.536892	−	0.309975i
$459$	0.0423866	−	0.116456i	0.00197844	−	0.00543571i
$460$	11.9105	+	4.33508i	0.555331	+	0.202124i
$461$	−7.89127	+	1.39144i	−0.367533	+	0.0648060i	−0.354365	−	0.935107i	$-0.615303\pi$
$461$	−7.89127	+	1.39144i	−0.367533	+	0.0648060i	−0.0131684	+	0.999913i	$0.504192\pi$
$462$	9.23515	−	11.0060i	0.429658	−	0.512047i
$463$	−22.0020	+	26.2210i	−1.02252	+	1.21859i	−0.0469535	+	0.998897i	$0.514951\pi$
$463$	−22.0020	+	26.2210i	−1.02252	+	1.21859i	−0.975568	+	0.219697i	$0.929493\pi$
$464$	−5.64591	+	0.995526i	−0.262105	+	0.0462161i
$465$	−50.9775	−	18.5543i	−2.36402	−	0.860434i
$466$	1.47293	−	4.04685i	0.0682323	−	0.187467i
$467$	−17.7860	−	10.2688i	−0.823040	−	0.475182i	0.0284236	−	0.999596i	$-0.490951\pi$
$467$	−17.7860	−	10.2688i	−0.823040	−	0.475182i	−0.851464	+	0.524414i	$0.824285\pi$
$468$	−1.51123	−	0.266471i	−0.0698567	−	0.0123176i
$469$	19.1484	−	16.0674i	0.884191	−	0.741925i
$470$	5.57128	+	9.64974i	0.256984	+	0.445109i
$471$	−12.2599	+	21.2348i	−0.564907	+	0.978448i
$472$	0.976739	+	5.53936i	0.0449581	+	0.254970i
$473$	−10.1512	+	5.86077i	−0.466750	+	0.269479i
$474$	2.49920	−	0.909634i	0.114792	−	0.0417809i
$475$		−	42.5606i		−	1.95281i
$476$	−0.0330037	−	0.0906770i	−0.00151272	−	0.00415617i
$477$	0.176387	−	1.00034i	0.00807619	−	0.0458023i
$478$	−10.9102	−	9.15478i	−0.499023	−	0.418730i
$479$	−4.04948	−	4.82598i	−0.185025	−	0.220505i	0.665556	−	0.746348i	$-0.268194\pi$
$479$	−4.04948	−	4.82598i	−0.185025	−	0.220505i	−0.850582	+	0.525843i	$0.823750\pi$
$480$	−8.01396			−0.365786
$481$	−14.8161	+	9.39299i	−0.675558	+	0.428284i
$482$	14.2610			0.649572
$483$	−12.9681	−	15.4548i	−0.590070	−	0.703218i
$484$	4.99395	+	4.19042i	0.226998	+	0.190474i
$485$	4.83170	−	27.4019i	0.219396	−	1.24426i
$486$	1.87014	+	5.13816i	0.0848311	+	0.233071i
$487$		−	27.5903i		−	1.25024i	−0.780530	−	0.625118i	$-0.785051\pi$
$487$		−	27.5903i		−	1.25024i	0.780530	−	0.625118i	$-0.214949\pi$
$488$	5.39466	−	1.96349i	0.244205	−	0.0888832i
$489$	−41.1072	+	23.7332i	−1.85893	+	1.07325i
$490$	−4.47421	−	25.3745i	−0.202124	−	1.14630i
$491$	−16.5100	+	28.5962i	−0.745088	+	1.29053i	0.205066	+	0.978748i	$0.434259\pi$
$491$	−16.5100	+	28.5962i	−0.745088	+	1.29053i	−0.950154	+	0.311781i	$0.899074\pi$
$492$	1.40157	+	2.42760i	0.0631878	+	0.109444i
$493$	0.117346	−	0.0984648i	0.00528499	−	0.00443463i
$494$	−9.16946	−	1.61682i	−0.412554	−	0.0727443i
$495$	4.15937	+	2.40141i	0.186950	+	0.107935i
$496$	−2.31524	+	6.36108i	−0.103958	+	0.285621i
$497$	31.4904	+	11.4616i	1.41254	+	0.514121i
$498$	3.13979	−	0.553629i	0.140697	−	0.0248087i
$499$	13.5539	−	16.1529i	0.606756	−	0.723103i	−0.371977	−	0.928242i	$-0.621320\pi$
$499$	13.5539	−	16.1529i	0.606756	−	0.723103i	0.978733	+	0.205139i	$0.0657645\pi$
$500$	−22.4288	+	26.7296i	−1.00305	+	1.19538i
$501$	−19.0284	+	3.35523i	−0.850128	+	0.149901i
$502$	23.2175	+	8.45048i	1.03625	+	0.377164i
$503$	6.03817	−	16.5897i	0.269229	−	0.739700i	−0.729234	−	0.684265i	$-0.760123\pi$
$503$	6.03817	−	16.5897i	0.269229	−	0.739700i	0.998462	−	0.0554349i	$-0.0176545\pi$
$504$	1.66416	+	0.960802i	0.0741275	+	0.0427975i
$505$	69.7072	+	12.2913i	3.10193	+	0.546954i
$506$	−4.82002	+	4.04447i	−0.214276	+	0.179799i
$507$	−4.40014	−	7.62127i	−0.195417	−	0.338472i
$508$	−8.05720	+	13.9555i	−0.357480	+	0.619174i
$509$	7.26094	+	41.1788i	0.321835	+	1.82522i	0.531039	+	0.847347i	$0.321802\pi$
$509$	7.26094	+	41.1788i	0.321835	+	1.82522i	−0.209203	+	0.977872i	$0.567087\pi$
$510$	0.185442	−	0.107065i	0.00821153	−	0.00474093i
$511$	−55.2168	+	20.0973i	−2.44265	+	0.889051i
$512$			1.00000i			0.0441942i
$513$	5.12146	+	14.0711i	0.226118	+	0.621254i
$514$	2.84997	−	16.1630i	0.125707	−	0.712918i
$515$	−6.18942	−	5.19354i	−0.272738	−	0.228855i
$516$	−6.68940	−	7.97212i	−0.294484	−	0.350953i
$517$	−5.53139			−0.243270
$518$	21.4572	−	4.70727i	0.942777	−	0.206826i
$519$	44.4604			1.95160
$520$	7.90487	+	9.42065i	0.346651	+	0.413123i
$521$	27.5629	+	23.1280i	1.20755	+	1.01326i	0.999382	+	0.0351633i	$0.0111951\pi$
$521$	27.5629	+	23.1280i	1.20755	+	1.01326i	0.208170	+	0.978093i	$0.433249\pi$
$522$	−0.529708	+	3.00412i	−0.0231847	+	0.131487i
$523$	−11.2216	−	30.8312i	−0.490688	−	1.34815i	−0.900052	−	0.435783i	$-0.856471\pi$
$523$	−11.2216	−	30.8312i	−0.490688	−	1.34815i	0.409363	−	0.912371i	$-0.365751\pi$
$524$		−	0.822948i		−	0.0359507i
$525$	84.0799	−	30.6026i	3.66955	−	1.33561i
$526$	−24.3712	+	14.0707i	−1.06263	+	0.613512i
$527$	−0.0314085	−	0.178126i	−0.00136817	−	0.00775930i
$528$	1.98915	−	3.44530i	0.0865665	−	0.149938i
$529$	−7.08229	−	12.2669i	−0.307926	−	0.533343i
$530$	−6.23586	+	5.23251i	−0.270868	+	0.227286i
$531$	2.94743	+	0.519712i	0.127908	+	0.0225536i
$532$	10.0974	+	5.82971i	0.437776	+	0.252750i
$533$	1.47122	−	4.04214i	0.0637255	−	0.175085i
$534$	14.6068	+	5.31645i	0.632099	+	0.230065i
$535$	−1.60523	+	0.283046i	−0.0694002	+	0.0122371i
$536$	4.44904	−	5.30216i	0.192169	−	0.229018i
$537$	6.10965	−	7.28119i	0.263651	−	0.314207i
$538$	−22.8183	+	4.02348i	−0.983766	+	0.173465i
$539$	12.0194	+	4.37469i	0.517710	+	0.188431i
$540$	6.76439	−	18.5850i	0.291093	−	0.799771i
$541$	32.4941	+	18.7605i	1.39703	+	0.806576i	0.994080	−	0.108646i	$-0.0346516\pi$
$541$	32.4941	+	18.7605i	1.39703	+	0.806576i	0.402950	+	0.915222i	$0.367985\pi$
$542$	10.4476	+	1.84219i	0.448763	+	0.0791290i
$543$	−1.50512	+	1.26295i	−0.0645910	+	0.0541983i
$544$	−0.0133598	−	0.0231399i	−0.000572798	−	0.000992116i
$545$	−2.05869	+	3.56576i	−0.0881847	+	0.152740i
$546$	−3.39908	−	19.2771i	−0.145467	−	0.824986i
$547$	−22.5841	+	13.0389i	−0.965627	+	0.557505i	−0.897900	−	0.440199i	$-0.854908\pi$
$547$	−22.5841	+	13.0389i	−0.965627	+	0.557505i	−0.0677265	+	0.997704i	$0.521575\pi$
$548$	16.3102	−	5.93642i	0.696737	−	0.253591i
$549$		−	3.05465i		−	0.130369i
$550$	−9.54428	−	26.2227i	−0.406969	−	1.11814i
$551$	−3.21403	+	18.2276i	−0.136922	+	0.776524i
$552$	−4.27940	−	3.59085i	−0.182144	−	0.152837i
$553$	3.28508	+	3.91501i	0.139696	+	0.166483i
$554$	24.0416			1.02143
$555$	18.5552	+	45.0775i	0.787624	+	1.91343i
$556$	−9.22544			−0.391246
$557$	−4.18253	−	4.98455i	−0.177220	−	0.211202i	0.670121	−	0.742252i	$-0.266242\pi$
$557$	−4.18253	−	4.98455i	−0.177220	−	0.211202i	−0.847341	+	0.531050i	$0.821798\pi$
$558$	2.75920	+	2.31524i	0.116806	+	0.0980121i
$559$	−2.77313	+	15.7272i	−0.117291	+	0.665189i
$560$	−5.26700	−	14.4710i	−0.222571	−	0.611509i
$561$			0.106299i			0.00448793i
$562$	11.9574	−	4.35215i	0.504394	−	0.183585i
$563$	−33.5577	+	19.3746i	−1.41429	+	0.816540i	−0.995789	−	0.0916766i	$-0.970777\pi$
$563$	−33.5577	+	19.3746i	−1.41429	+	0.816540i	−0.418500	+	0.908217i	$0.637444\pi$
$564$	−0.852785	−	4.83638i	−0.0359087	−	0.203649i
$565$	4.03120	−	6.98224i	0.169594	−	0.293745i
$566$	−0.128854	−	0.223182i	−0.00541615	−	0.00938104i
$567$	−28.5315	+	23.9408i	−1.19821	+	1.00542i
$568$	9.13826	+	1.61132i	0.383433	+	0.0676095i
$569$	11.1846	+	6.45744i	0.468883	+	0.270710i	0.715772	−	0.698334i	$-0.246075\pi$
$569$	11.1846	+	6.45744i	0.468883	+	0.270710i	−0.246889	+	0.969044i	$0.579408\pi$
$570$	−8.84903	+	24.3125i	−0.370645	+	1.01834i
$571$	−2.81875	−	1.02594i	−0.117961	−	0.0429343i	0.282365	−	0.959307i	$-0.408881\pi$
$571$	−2.81875	−	1.02594i	−0.117961	−	0.0429343i	−0.400326	+	0.916373i	$0.631103\pi$
$572$	−6.01212	+	1.06010i	−0.251380	+	0.0443250i
$573$	−16.2643	+	19.3831i	−0.679452	+	0.809739i
$574$	−3.46240	+	4.12633i	−0.144518	+	0.172230i
$575$	−38.5901	+	6.80447i	−1.60932	+	0.283766i
$576$	0.500000	+	0.181985i	0.0208333	+	0.00758271i
$577$	9.86791	−	27.1119i	0.410806	−	1.12868i	−0.545957	−	0.837813i	$-0.683834\pi$
$577$	9.86791	−	27.1119i	0.410806	−	1.12868i	0.956763	−	0.290868i	$-0.0939440\pi$
$578$	−14.7218	−	8.49964i	−0.612347	−	0.353539i
$579$	8.36999	+	1.47586i	0.347845	+	0.0613344i
$580$	18.7270	−	15.7138i	0.777595	−	0.652480i
$581$	3.06325	+	5.30571i	0.127085	+	0.220118i
$582$	−6.13175	+	10.6205i	−0.254169	+	0.440234i
$583$	−0.701717	−	3.97964i	−0.0290622	−	0.164820i
$584$	−14.0908	+	8.13534i	−0.583082	+	0.336643i
$585$	6.14889	−	2.23801i	0.254225	−	0.0925305i
$586$		−	8.98077i		−	0.370992i
$587$	8.30296	+	22.8122i	0.342700	+	0.941560i	0.984608	+	0.174778i	$0.0559208\pi$
$587$	8.30296	+	22.8122i	0.342700	+	0.941560i	−0.641908	+	0.766782i	$0.721857\pi$
$588$	−1.97197	+	11.1836i	−0.0813227	+	0.461204i
$589$	16.7416	+	14.0478i	0.689824	+	0.578831i
$590$	−15.4173	−	18.3736i	−0.634719	−	0.756428i
$591$	−23.2518			−0.956450
$592$	5.62487	−	2.31536i	0.231181	−	0.0951606i
$593$	12.0052			0.492995			0.246497	−	0.969143i	$-0.420720\pi$
$593$	12.0052			0.492995			0.246497	+	0.969143i	$0.420720\pi$
$594$	6.31094	+	7.52108i	0.258941	+	0.308594i
$595$	0.315207	+	0.264490i	0.0129222	+	0.0108431i
$596$	1.34365	−	7.62021i	0.0550380	−	0.312136i
$597$	−2.89875	−	7.96425i	−0.118638	−	0.325955i
$598$			8.57253i			0.350557i
$599$	17.9026	−	6.51602i	0.731481	−	0.266237i	0.0506895	−	0.998714i	$-0.483858\pi$
$599$	17.9026	−	6.51602i	0.731481	−	0.266237i	0.680792	+	0.732477i	$0.261636\pi$
$600$	21.4564	−	12.3879i	0.875954	−	0.505732i
$601$	−3.95300	−	22.4186i	−0.161246	−	0.914472i	−0.952851	−	0.303439i	$-0.901865\pi$
$601$	−3.95300	−	22.4186i	−0.161246	−	0.914472i	0.791605	−	0.611033i	$-0.209246\pi$
$602$	9.99893	−	17.3187i	0.407526	−	0.705856i
$603$	−1.84142	−	3.18943i	−0.0749884	−	0.129884i
$604$	9.68000	−	8.12248i	0.393874	−	0.330499i
$605$	−27.3762	−	4.82716i	−1.11300	−	0.196252i
$606$	−27.0173	−	15.5984i	−1.09750	−	0.633642i
$607$	−6.70527	+	18.4226i	−0.272159	+	0.747750i	0.726034	+	0.687658i	$0.241361\pi$
$607$	−6.70527	+	18.4226i	−0.272159	+	0.747750i	−0.998193	+	0.0600911i	$0.980861\pi$
$608$	3.03377	+	1.10420i	0.123036	+	0.0447813i
$609$	−38.3203	+	6.75691i	−1.55282	+	0.273804i
$610$	−15.7354	+	18.7527i	−0.637106	+	0.759274i
$611$	−4.84414	+	5.77302i	−0.195973	+	0.233551i
$612$	−0.0140013	+	0.00246880i	−0.000565967	+	9.97953e-5i
$613$	2.38568	+	0.868317i	0.0963568	+	0.0350710i	0.389749	−	0.920921i	$-0.372562\pi$
$613$	2.38568	+	0.868317i	0.0963568	+	0.0350710i	−0.293392	+	0.955992i	$0.594784\pi$
$614$	−5.06130	+	13.9058i	−0.204257	+	0.561192i
$615$	−10.3516	−	5.97650i	−0.417417	−	0.240996i
$616$	7.52857	+	1.32749i	0.303335	+	0.0534861i
$617$	−14.5342	+	12.1956i	−0.585124	+	0.490977i	−0.886625	−	0.462489i	$-0.846957\pi$
$617$	−14.5342	+	12.1956i	−0.585124	+	0.490977i	0.301502	+	0.953466i	$0.402512\pi$
$618$	1.78053	+	3.08398i	0.0716236	+	0.124056i
$619$	−1.25679	+	2.17683i	−0.0505147	+	0.0874940i	−0.890177	−	0.455615i	$-0.849420\pi$
$619$	−1.25679	+	2.17683i	−0.0505147	+	0.0874940i	0.839662	+	0.543109i	$0.182753\pi$
$620$	−5.01241	−	28.4268i	−0.201303	−	1.14165i
$621$	11.9396	−	6.89333i	0.479119	−	0.276620i
$622$	25.1047	−	9.13738i	1.00661	−	0.366376i
$623$			29.8699i			1.19671i
$624$	−1.85380	−	5.09328i	−0.0742114	−	0.203894i
$625$	14.3909	−	81.6150i	0.575637	−	3.26460i
$626$	7.29561	+	6.12174i	0.291591	+	0.244674i
$627$	−8.25584	−	9.83892i	−0.329706	−	0.392929i
$628$	−13.0467			−0.520621
$629$	−0.0992261	+	0.128724i	−0.00395640	+	0.00513258i
$630$	−8.19399			−0.326456
$631$	−4.27007	−	5.08887i	−0.169989	−	0.202585i	0.674324	−	0.738436i	$-0.264435\pi$
$631$	−4.27007	−	5.08887i	−0.169989	−	0.202585i	−0.844313	+	0.535851i	$0.819991\pi$
$632$	1.08406	+	0.909634i	0.0431216	+	0.0361833i
$633$	−5.30190	+	30.0686i	−0.210732	+	1.19512i
$634$	5.18354	+	14.2417i	0.205865	+	0.565609i
$635$		−	68.7140i		−	2.72683i
$636$	3.37142	−	1.22710i	0.133685	−	0.0486575i
$637$	15.0918	−	8.71325i	0.597958	−	0.345231i
$638$	2.10733	+	11.9513i	0.0834301	+	0.473156i
$639$	2.46869	−	4.27589i	0.0976598	−	0.169152i
$640$	−2.13207	−	3.69285i	−0.0842775	−	0.145973i
$641$	6.30793	−	5.29298i	0.249148	−	0.209060i	−0.509657	−	0.860378i	$-0.670228\pi$
$641$	6.30793	−	5.29298i	0.249148	−	0.209060i	0.758805	+	0.651317i	$0.225783\pi$
$642$	0.707493	+	0.124750i	0.0279225	+	0.00492349i
$643$	−12.3142	−	7.10959i	−0.485623	−	0.280375i	0.237134	−	0.971477i	$-0.423792\pi$
$643$	−12.3142	−	7.10959i	−0.485623	−	0.280375i	−0.722757	+	0.691102i	$0.757125\pi$
$644$	3.67151	−	10.0874i	0.144678	−	0.397499i
$645$	41.7001	+	15.1776i	1.64194	+	0.597617i
$646$	−0.0849532	+	0.0149795i	−0.00334244	+	0.000589362i
$647$	25.6313	−	30.5462i	1.00767	−	1.20089i	0.0281389	−	0.999604i	$-0.491042\pi$
$647$	25.6313	−	30.5462i	1.00767	−	1.20089i	0.979532	−	0.201291i	$-0.0645136\pi$
$648$	−6.62916	+	7.90033i	−0.260418	+	0.310354i
$649$	11.7258	−	2.06757i	0.460276	−	0.0811591i
$650$	−35.7266	−	13.0034i	−1.40131	−	0.510036i
$651$	−15.7142	+	43.1744i	−0.615889	+	1.69214i
$652$	−21.8727	−	12.6282i	−0.856600	−	0.494558i
$653$	7.99174	+	1.40916i	0.312741	+	0.0551447i	0.327816	−	0.944742i	$-0.393687\pi$
$653$	7.99174	+	1.40916i	0.312741	+	0.0551447i	−0.0150747	+	0.999886i	$0.504799\pi$
$654$	1.39014	−	1.16647i	0.0543590	−	0.0456126i
$655$	1.75458	+	3.03903i	0.0685572	+	0.118745i
$656$	−0.745761	+	1.29170i	−0.0291171	+	0.0504323i
$657$	1.50335	+	8.52592i	0.0586513	+	0.332628i
$658$	8.17267	−	4.71850i	0.318604	−	0.183946i
$659$	26.3535	−	9.59188i	1.02659	−	0.373647i	0.226806	−	0.973940i	$-0.427172\pi$
$659$	26.3535	−	9.59188i	1.02659	−	0.373647i	0.799780	+	0.600293i	$0.204950\pi$
$660$			16.9640i			0.660323i
$661$	−1.54764	−	4.25209i	−0.0601961	−	0.165387i	0.905949	−	0.423387i	$-0.139159\pi$
$661$	−1.54764	−	4.25209i	−0.0601961	−	0.165387i	−0.966145	+	0.258000i	$0.916937\pi$
$662$	−0.358788	+	2.03479i	−0.0139447	+	0.0790844i
$663$	0.110942	+	0.0930915i	0.00430864	+	0.00361537i
$664$	1.09044	+	1.29953i	0.0423171	+	0.0504316i
$665$	−49.7174			−1.92796
$666$	−0.134037	−	3.23379i	−0.00519383	−	0.125307i
$667$	17.0410			0.659831
$668$	−6.60851	−	7.87572i	−0.255691	−	0.304721i
$669$	−1.22054	−	1.02415i	−0.0471887	−	0.0395960i
$670$	−5.12508	+	29.0658i	−0.197999	+	1.12291i
$671$	−4.15633	−	11.4194i	−0.160454	−	0.440842i
$672$			6.78728i			0.261825i
$673$	−9.85346	+	3.58637i	−0.379823	+	0.138244i	−0.524874	−	0.851180i	$-0.675888\pi$
$673$	−9.85346	+	3.58637i	−0.379823	+	0.138244i	0.145051	+	0.989424i	$0.453665\pi$
$674$	−12.0609	+	6.96337i	−0.464569	+	0.268219i
$675$	10.6176	+	60.2154i	0.408671	+	2.31769i
$676$	2.34127	−	4.05519i	0.0900487	−	0.155969i
$677$	−13.4277	−	23.2574i	−0.516067	−	0.893853i	−0.999826	−	0.0186525i	$-0.994062\pi$
$677$	−13.4277	−	23.2574i	−0.516067	−	0.893853i	0.483760	−	0.875201i	$-0.339271\pi$
$678$	−2.72209	+	2.28411i	−0.104541	+	0.0877206i
$679$	−23.2076	−	4.09212i	−0.890625	−	0.157041i
$680$	0.0986718	+	0.0569682i	0.00378389	+	0.00218463i
$681$	7.79620	−	21.4199i	0.298751	−	0.820812i
$682$	13.4652	+	4.90092i	0.515608	+	0.187666i
$683$	17.6006	−	3.10346i	0.673469	−	0.118751i	0.173553	−	0.984825i	$-0.444475\pi$
$683$	17.6006	−	3.10346i	0.673469	−	0.118751i	0.499916	+	0.866074i	$0.333364\pi$
$684$	1.10420	−	1.31594i	0.0422202	−	0.0503161i
$685$	−47.5743	+	56.6968i	−1.81772	+	2.16627i
$686$	3.40552	−	0.600485i	0.130023	−	0.0229266i
$687$	−23.4310	−	8.52819i	−0.893948	−	0.325371i
$688$	1.89389	−	5.20343i	0.0722040	−	0.198379i
$689$	−4.76801	−	2.75281i	−0.181647	−	0.104874i
$690$	23.4591	+	4.13648i	0.893074	+	0.157473i
$691$	16.1699	−	13.5682i	0.615133	−	0.516158i	−0.281137	−	0.959668i	$-0.590711\pi$
$691$	16.1699	−	13.5682i	0.615133	−	0.516158i	0.896269	+	0.443510i	$0.146267\pi$
$692$	11.8284	+	20.4875i	0.449650	+	0.778817i
$693$	2.03383	−	3.52270i	0.0772589	−	0.133816i
$694$	−3.50969	−	19.9044i	−0.133226	−	0.755563i
$695$	34.0682	−	19.6693i	1.29228	−	0.746098i
$696$	−10.1247	+	3.68510i	−0.383777	+	0.139683i
$697$		−	0.0398530i		−	0.00150954i
$698$	−3.75877	−	10.3271i	−0.142272	−	0.390888i
$699$	1.40546	−	7.97074i	0.0531593	−	0.301481i
$700$	36.4707	+	30.6026i	1.37846	+	1.15667i
$701$	2.94056	+	3.50442i	0.111063	+	0.132360i	0.818712	−	0.574204i	$-0.194688\pi$
$701$	2.94056	+	3.50442i	0.111063	+	0.132360i	−0.707649	+	0.706564i	$0.750244\pi$
$702$	13.3765			0.504862
$703$	−0.813275	−	19.6212i	−0.0306733	−	0.740027i
$704$	2.11681			0.0797801
$705$	13.4607	+	16.0419i	0.506960	+	0.604171i
$706$	−3.33721	−	2.80025i	−0.125598	−	0.105389i
$707$	10.4099	−	59.0372i	0.391503	−	2.22032i
$708$	3.61556	+	9.93368i	0.135881	+	0.373330i
$709$		−	4.67695i		−	0.175647i	−0.996136	−	0.0878233i	$-0.972009\pi$
$709$		−	4.67695i		−	0.175647i	0.996136	−	0.0878233i	$-0.0279911\pi$
$710$	−37.1817	+	13.5330i	−1.39540	+	0.507886i
$711$	0.652100	−	0.376490i	0.0244556	−	0.0141195i
$712$	1.43623	+	8.14527i	0.0538251	+	0.305257i
$713$	10.0607	−	17.4257i	0.376777	−	0.652596i
$714$	−0.0906770	−	0.157057i	−0.00339350	−	0.00587771i
$715$	19.9417	−	16.7331i	0.745777	−	0.625781i
$716$	4.98063	+	0.878219i	0.186135	+	0.0328206i
$717$	−23.1807	−	13.3834i	−0.865699	−	0.499812i
$718$	2.62899	−	7.22308i	0.0981129	−	0.269563i
$719$	−43.2845	−	15.7543i	−1.61424	−	0.587535i	−0.631967	−	0.774995i	$-0.717752\pi$
$719$	−43.2845	−	15.7543i	−1.61424	−	0.587535i	−0.982272	+	0.187460i	$0.939974\pi$
$720$	−2.23443	+	0.393991i	−0.0832724	+	0.0146832i
$721$	−4.39857	+	5.24202i	−0.163811	+	0.195223i
$722$	−5.51317	+	6.57034i	−0.205179	+	0.244523i
$723$	26.3948	−	4.65411i	0.981632	−	0.173088i
$724$	−0.982399	−	0.357564i	−0.0365106	−	0.0132888i
$725$	−25.8490	+	71.0196i	−0.960009	+	2.63760i
$726$	10.6105	+	6.12598i	0.393793	+	0.227357i
$727$	−42.9014	−	7.56467i	−1.59112	−	0.280558i	−0.693213	−	0.720733i	$-0.743805\pi$
$727$	−42.9014	−	7.56467i	−1.59112	−	0.280558i	−0.897912	+	0.440175i	$0.854916\pi$
$728$	7.97865	−	6.69488i	0.295708	−	0.248129i
$729$	−10.3316	−	17.8948i	−0.382651	−	0.662770i
$730$	34.6902	−	60.0852i	1.28394	−	2.22385i
$731$	0.0256924	+	0.145709i	0.000950269	+	0.00538924i
$732$	9.34382	−	5.39466i	0.345357	−	0.199392i
$733$	26.1238	−	9.50828i	0.964904	−	0.351196i	0.188950	−	0.981987i	$-0.439491\pi$
$733$	26.1238	−	9.50828i	0.964904	−	0.351196i	0.775953	+	0.630790i	$0.217269\pi$
$734$			20.7176i			0.764702i
$735$	−16.5620	−	45.5038i	−0.610900	−	1.67843i
$736$	0.516159	−	2.92728i	0.0190259	−	0.107901i
$737$	−11.2236	−	9.41775i	−0.413428	−	0.346907i
$738$	0.510131	+	0.607950i	0.0187782	+	0.0223790i
$739$	26.4463			0.972843			0.486421	−	0.873724i	$-0.338302\pi$
$739$	26.4463			0.972843			0.486421	+	0.873724i	$0.338302\pi$
$740$	−15.8353	+	20.5429i	−0.582117	+	0.755171i
$741$	−17.4988			−0.642835
$742$	4.43158	+	5.28135i	0.162688	+	0.193884i
$743$	31.0557	+	26.0589i	1.13932	+	0.956007i	0.999416	−	0.0341578i	$-0.0108749\pi$
$743$	31.0557	+	26.0589i	1.13932	+	0.956007i	0.139908	+	0.990165i	$0.455319\pi$
$744$	−2.20918	+	12.5289i	−0.0809925	+	0.459331i
$745$	11.2849	+	31.0051i	0.413447	+	1.13594i
$746$			15.6066i			0.571397i
$747$	0.848209	−	0.308723i	0.0310343	−	0.0112956i
$748$	−0.0489827	+	0.0282802i	−0.00179098	+	0.00103403i
$749$	0.239720	+	1.35952i	0.00875919	+	0.0496759i
$750$	−32.7887	+	56.7916i	−1.19727	+	2.07374i
$751$	−5.14164	−	8.90559i	−0.187621	−	0.324969i	0.756835	−	0.653605i	$-0.226744\pi$
$751$	−5.14164	−	8.90559i	−0.187621	−	0.324969i	−0.944457	+	0.328636i	$0.893411\pi$
$752$	2.00174	−	1.67966i	0.0729959	−	0.0612509i
$753$	45.7296	+	8.06336i	1.66648	+	0.293845i
$754$	14.3189	+	8.26700i	0.521462	+	0.301066i
$755$	−18.4291	+	50.6336i	−0.670704	+	1.84274i
$756$	−15.7402	−	5.72898i	−0.572467	−	0.208361i
$757$	−34.9139	+	6.15626i	−1.26897	+	0.223753i	−0.767289	−	0.641301i	$-0.778395\pi$
$757$	−34.9139	+	6.15626i	−1.26897	+	0.223753i	−0.501678	+	0.865054i	$0.667284\pi$
$758$	16.1834	−	19.2866i	0.587808	−	0.700522i
$759$	−7.60112	+	9.05867i	−0.275903	+	0.328809i
$760$	−13.5575	+	2.39055i	−0.491782	+	0.0867145i
$761$	−4.68947	−	1.70683i	−0.169993	−	0.0618725i	0.255622	−	0.966777i	$-0.417720\pi$
$761$	−4.68947	−	1.70683i	−0.169993	−	0.0618725i	−0.425615	+	0.904904i	$0.639942\pi$
$762$	−10.3581	+	28.4587i	−0.375236	+	1.03095i
$763$	3.01996	+	1.74357i	0.109330	+	0.0631216i
$764$	−13.2588	−	2.33788i	−0.479687	−	0.0845817i
$765$	0.0464409	−	0.0389686i	0.00167907	−	0.00140891i
$766$	−15.1068	−	26.1657i	−0.545829	−	0.945404i
$767$	8.11099	−	14.0486i	0.292871	−	0.507267i
$768$	0.326352	+	1.85083i	0.0117762	+	0.0667862i
$769$	−30.5000	+	17.6092i	−1.09986	+	0.635004i	−0.936184	−	0.351511i	$-0.885668\pi$
$769$	−30.5000	+	17.6092i	−1.09986	+	0.635004i	−0.163675	+	0.986514i	$0.552335\pi$
$770$	−30.6322	+	11.1492i	−1.10391	+	0.401789i
$771$		−	30.8451i		−	1.11086i
$772$	1.54671	+	4.24956i	0.0556674	+	0.152945i
$773$	−1.86072	+	10.5527i	−0.0669255	+	0.379553i	0.932887	+	0.360170i	$0.117281\pi$
$773$	−1.86072	+	10.5527i	−0.0669255	+	0.379553i	−0.999812	+	0.0193832i	$0.993830\pi$
$774$	−2.25705	−	1.89389i	−0.0811281	−	0.0680746i
$775$	57.3619	+	68.3612i	2.06050	+	2.45561i
$776$	−6.52527			−0.234244
$777$	38.1775	−	15.7150i	1.36961	−	0.563772i
$778$	25.0006			0.896316
$779$	3.09524	+	3.68876i	0.110898	+	0.132164i
$780$	17.7050	+	14.8563i	0.633942	+	0.531940i
$781$	3.41085	−	19.3439i	0.122050	−	0.692180i
$782$	0.0271642	+	0.0746329i	0.000971389	+	0.00266887i
$783$		−	26.5906i		−	0.950269i
$784$	−5.67806	+	2.06665i	−0.202788	+	0.0738088i
$785$	48.1797	−	27.8166i	1.71961	−	0.992815i
$786$	−0.268571	−	1.52314i	−0.00957960	−	0.0543286i
$787$	−13.6101	+	23.5734i	−0.485149	+	0.840302i	−0.999854	−	0.0170648i	$-0.994568\pi$
$787$	−13.6101	+	23.5734i	−0.485149	+	0.840302i	0.514706	+	0.857367i	$0.327901\pi$
$788$	−6.18600	−	10.7145i	−0.220367	−	0.381687i
$789$	−40.5150	+	33.9961i	−1.44237	+	1.21029i
$790$	−5.94267	−	1.04785i	−0.211431	−	0.0372810i
$791$	−5.91349	−	3.41415i	−0.210259	−	0.121393i
$792$	0.385227	−	1.05840i	0.0136884	−	0.0376087i
$793$	−15.5582	−	5.66272i	−0.552488	−	0.201089i
$794$	−13.4659	+	2.37440i	−0.477887	+	0.0842643i
$795$	−9.83390	+	11.7196i	−0.348772	+	0.415651i
$796$	2.89875	−	3.45459i	0.102743	−	0.122445i
$797$	3.05954	−	0.539479i	0.108374	−	0.0191093i	−0.119198	−	0.992871i	$-0.538032\pi$
$797$	3.05954	−	0.539479i	0.108374	−	0.0191093i	0.227572	+	0.973761i	$0.426921\pi$
$798$	20.5910	+	7.49453i	0.728915	+	0.265303i
$799$	−0.0238801	+	0.0656101i	−0.000844818	+	0.00232112i
$800$	11.4167	+	6.59144i	0.403642	+	0.233043i
$801$	4.33401	+	0.764203i	0.153135	+	0.0270018i
$802$	−1.24114	+	1.04144i	−0.0438263	+	0.0367747i
$803$	17.2209	+	29.8275i	0.607713	+	1.05259i
$804$	6.50406	−	11.2654i	0.229381	−	0.397299i
$805$	7.94868	+	45.0792i	0.280154	+	1.58883i
$806$	16.9072	−	9.76137i	0.595530	−	0.343830i
$807$	−40.9198	+	14.8936i	−1.44044	+	0.524279i
$808$		−	16.5995i		−	0.583968i
$809$	−1.77678	−	4.88167i	−0.0624684	−	0.171630i	0.904532	−	0.426406i	$-0.140221\pi$
$809$	−1.77678	−	4.88167i	−0.0624684	−	0.171630i	−0.967000	+	0.254776i	$0.917998\pi$
$810$	7.63647	−	43.3086i	0.268318	−	1.52171i
$811$	24.4994	+	20.5574i	0.860289	+	0.721868i	0.962030	−	0.272942i	$-0.0879969\pi$
$811$	24.4994	+	20.5574i	0.860289	+	0.721868i	−0.101741	+	0.994811i	$0.532441\pi$
$812$	−13.3085	−	15.8605i	−0.467037	−	0.556593i
$813$	19.9380			0.699255
$814$	−4.90116	−	11.9067i	−0.171786	−	0.417331i
$815$	107.697			3.77245
$816$	−0.0322786	−	0.0384681i	−0.00112998	−	0.00134665i
$817$	−13.6948	−	11.4913i	−0.479119	−	0.402029i
$818$	1.58518	−	8.98998i	0.0554244	−	0.314327i
$819$	−1.89545	−	5.20769i	−0.0662322	−	0.181972i
$820$		−	6.36006i		−	0.222103i
$821$	−7.04269	+	2.56333i	−0.245792	+	0.0894608i	−0.461978	−	0.886891i	$-0.652860\pi$
$821$	−7.04269	+	2.56333i	−0.245792	+	0.0894608i	0.216187	+	0.976352i	$0.430638\pi$
$822$	28.2501	−	16.3102i	0.985335	−	0.568883i
$823$	−7.11013	−	40.3235i	−0.247843	−	1.40559i	−0.813795	−	0.581152i	$-0.802602\pi$
$823$	−7.11013	−	40.3235i	−0.247843	−	1.40559i	0.565952	−	0.824438i	$-0.308509\pi$
$824$	−0.947403	+	1.64095i	−0.0330043	+	0.0571652i
$825$	−26.2227	−	45.4190i	−0.912957	−	1.58129i
$826$	−15.5612	+	13.0574i	−0.541442	+	0.454324i
$827$	43.1556	+	7.60950i	1.50067	+	0.264608i	0.862803	−	0.505540i	$-0.168707\pi$
$827$	43.1556	+	7.60950i	1.50067	+	0.264608i	0.637865	+	0.770148i	$0.279818\pi$
$828$	−1.36971	−	0.790802i	−0.0476007	−	0.0274823i
$829$	12.4487	−	34.2026i	0.432362	−	1.18790i	−0.511997	−	0.858987i	$-0.671094\pi$
$829$	12.4487	−	34.2026i	0.432362	−	1.18790i	0.944359	−	0.328917i	$-0.106684\pi$
$830$	−6.79751	−	2.47409i	−0.235945	−	0.0858770i
$831$	44.4971	−	7.84603i	1.54359	−	0.272176i
$832$	1.85380	−	2.20927i	0.0642690	−	0.0765928i
$833$	0.103780	−	0.123680i	0.00359576	−	0.00428526i
$834$	−17.0747	+	3.01074i	−0.591250	+	0.104253i
$835$	41.1958	+	14.9941i	1.42564	+	0.518891i
$836$	2.33738	−	6.42190i	0.0808400	−	0.222106i
$837$	−27.1908	−	15.6986i	−0.939850	−	0.542623i
$838$	14.0315	+	2.47414i	0.484711	+	0.0854677i
$839$	16.9323	−	14.2079i	0.584567	−	0.490510i	−0.301876	−	0.953347i	$-0.597613\pi$
$839$	16.9323	−	14.2079i	0.584567	−	0.490510i	0.886443	+	0.462837i	$0.153168\pi$
$840$	−14.4710	−	25.0644i	−0.499295	−	0.864805i
$841$	1.93366	−	3.34920i	0.0666780	−	0.115490i
$842$	5.86831	+	33.2809i	0.202235	+	1.14693i
$843$	20.7109	−	11.9574i	0.713321	−	0.411836i
$844$	−15.2662	+	5.55645i	−0.525485	+	0.191261i
$845$			19.9670i			0.686885i
$846$	−0.475543	−	1.30654i	−0.0163495	−	0.0449199i
$847$	−4.08828	+	23.1858i	−0.140475	+	0.796672i
$848$	1.46240	+	1.22710i	0.0502189	+	0.0421386i
$849$	−0.311324	−	0.371021i	−0.0106846	−	0.0127334i
$850$	−0.352242			−0.0120818
$851$	−17.6607	+	3.87439i	−0.605400	+	0.132812i
$852$	17.4392			0.597459
$853$	26.8496	+	31.9982i	0.919314	+	1.09560i	0.995140	+	0.0984751i	$0.0313965\pi$
$853$	26.8496	+	31.9982i	0.919314	+	1.09560i	−0.0758251	+	0.997121i	$0.524159\pi$
$854$	15.8822	+	13.3268i	0.543479	+	0.456033i
$855$	−1.27199	+	7.21380i	−0.0435010	+	0.246707i
$856$	0.130739	+	0.359204i	0.00446858	+	0.0122773i
$857$			2.80039i			0.0956595i	0.998856	+	0.0478297i	$0.0152305\pi$
$857$			2.80039i			0.0956595i	−0.998856	+	0.0478297i	$0.984770\pi$
$858$	−10.7815	+	3.92414i	−0.368073	+	0.133968i
$859$	−29.0965	+	16.7988i	−0.992758	+	0.573169i	−0.906098	−	0.423069i	$-0.860953\pi$
$859$	−29.0965	+	16.7988i	−0.992758	+	0.573169i	−0.0866605	+	0.996238i	$0.527620\pi$
$860$	4.10020	+	23.2534i	0.139816	+	0.792935i
$861$	−5.06169	+	8.76711i	−0.172502	+	0.298782i
$862$	19.4194	+	33.6354i	0.661427	+	1.14563i
$863$	−19.4640	+	16.3322i	−0.662561	+	0.555955i	−0.910853	−	0.412730i	$-0.864575\pi$
$863$	−19.4640	+	16.3322i	−0.662561	+	0.555955i	0.248292	+	0.968685i	$0.420131\pi$
$864$	−4.56769	−	0.805407i	−0.155396	−	0.0274005i
$865$	−87.3614	−	50.4381i	−2.97038	−	1.71495i
$866$	6.19474	−	17.0199i	0.210506	−	0.578360i
$867$	−30.0215	−	10.9269i	−1.01958	−	0.371098i
$868$	−24.0756	+	4.24517i	−0.817178	+	0.144091i
$869$	1.92552	−	2.29474i	0.0653187	−	0.0778438i
$870$	29.5323	−	35.1952i	1.00124	−	1.19323i
$871$	−19.6583	+	3.46629i	−0.666096	+	0.117451i
$872$	0.907352	+	0.330249i	0.0307268	+	0.0111837i
$873$	−1.18750	+	3.26264i	−0.0401909	+	0.110423i
$874$	−8.31077	−	4.79822i	−0.281116	−	0.162302i
$875$	−124.099	−	21.8821i	−4.19532	−	0.739749i
$876$	−23.4248	+	19.6557i	−0.791450	+	0.664105i
$877$	−10.5898	−	18.3420i	−0.357591	−	0.619367i	0.629966	−	0.776622i	$-0.283069\pi$
$877$	−10.5898	−	18.3420i	−0.357591	−	0.619367i	−0.987558	+	0.157256i	$0.949735\pi$
$878$	7.17583	−	12.4289i	0.242172	−	0.419455i
$879$	−2.93089	−	16.6219i	−0.0988564	−	0.560643i
$880$	−7.81705	+	4.51318i	−0.263513	+	0.152139i
$881$	13.6304	−	4.96105i	0.459219	−	0.167142i	−0.102044	−	0.994780i	$-0.532538\pi$
$881$	13.6304	−	4.96105i	0.459219	−	0.167142i	0.561262	+	0.827638i	$0.310316\pi$
$882$			3.21513i			0.108259i
$883$	12.7053	+	34.9074i	0.427566	+	1.17473i	0.947285	+	0.320391i	$0.103814\pi$
$883$	12.7053	+	34.9074i	0.427566	+	1.17473i	−0.519719	+	0.854337i	$0.673963\pi$
$884$	−0.0133813	+	0.0758889i	−0.000450060	+	0.00255242i
$885$	−34.5310	−	28.9750i	−1.16075	−	0.973983i
$886$	3.49380	+	4.16375i	0.117376	+	0.139884i
$887$	2.08616			0.0700464			0.0350232	−	0.999386i	$-0.488849\pi$
$887$	2.08616			0.0700464			0.0350232	+	0.999386i	$0.488849\pi$
$888$	9.65507	−	6.12103i	0.324003	−	0.205408i
$889$	−58.1961			−1.95183
$890$	−22.6701	−	27.0172i	−0.759903	−	0.905617i
$891$	16.7235	+	14.0326i	0.560257	+	0.470111i
$892$	0.147215	−	0.834897i	0.00492912	−	0.0279544i
$893$	−2.88537	−	7.92750i	−0.0965554	−	0.265284i
$894$		−	14.5422i		−	0.486365i
$895$	−20.2652	+	7.37591i	−0.677390	+	0.246550i
$896$	−3.12760	+	1.80572i	−0.104486	+	0.0603248i
$897$	2.79766	+	15.8663i	0.0934112	+	0.529761i
$898$	0.0651192	−	0.112790i	0.00217306	−	0.00376384i
$899$	−19.4043	−	33.6092i	−0.647169	−	1.12093i
$900$	5.37339	−	4.50881i	0.179113	−	0.150294i
$901$	−0.0502335	−	0.00885753i	−0.00167352	−	0.000295087i
$902$	2.73427	+	1.57863i	0.0910412	+	0.0525627i
$903$	12.8544	−	35.3171i	0.427767	−	1.17528i
$904$	−1.77672	−	0.646673i	−0.0590928	−	0.0215080i
$905$	4.39021	−	0.774112i	0.145935	−	0.0257323i
$906$	15.2653	−	18.1924i	0.507155	−	0.604403i
$907$	6.67576	−	7.95586i	0.221665	−	0.264170i	−0.643739	−	0.765245i	$-0.722618\pi$
$907$	6.67576	−	7.95586i	0.221665	−	0.264170i	0.865404	+	0.501075i	$0.167062\pi$
$908$	11.9445	−	2.10613i	0.396391	−	0.0698945i
$909$	−8.29974	−	3.02086i	−0.275285	−	0.100196i
$910$	−15.1900	+	41.7343i	−0.503545	+	1.38348i
$911$	−5.79035	−	3.34306i	−0.191843	−	0.110761i	0.401002	−	0.916077i	$-0.368662\pi$
$911$	−5.79035	−	3.34306i	−0.191843	−	0.110761i	−0.592845	+	0.805317i	$0.701995\pi$
$912$	5.97536	+	1.05362i	0.197864	+	0.0348888i
$913$	2.75086	−	2.30824i	0.0910400	−	0.0763916i
$914$	14.1338	+	24.4804i	0.467504	+	0.809740i
$915$	−23.0036	+	39.8433i	−0.760474	+	1.31718i
$916$	−2.30388	−	13.0659i	−0.0761223	−	0.431711i
$917$	2.57385	−	1.48601i	0.0849960	−	0.0490725i
$918$	0.116456	−	0.0423866i	0.00384362	−	0.00139897i
$919$			48.7881i			1.60937i	0.593702	+	0.804685i	$0.297666\pi$
$919$			48.7881i			1.60937i	−0.593702	+	0.804685i	$0.702334\pi$
$920$	4.33508	+	11.9105i	0.142923	+	0.392678i
$921$	−4.82943	+	27.3891i	−0.159135	+	0.902501i
$922$	−6.13832	−	5.15066i	−0.202155	−	0.169628i
$923$	−17.2018	−	20.5004i	−0.566206	−	0.674778i
$924$	14.3673			0.472651
$925$	10.6422	−	79.4790i	0.349914	−	2.61325i
$926$	−34.2291			−1.12484
$927$	0.648062	+	0.772330i	0.0212851	+	0.0253666i
$928$	−4.39174	−	3.68510i	−0.144166	−	0.120969i
$929$	−4.20149	+	23.8278i	−0.137846	+	0.781765i	0.834989	+	0.550267i	$0.185474\pi$
$929$	−4.20149	+	23.8278i	−0.137846	+	0.781765i	−0.972835	+	0.231499i	$0.925637\pi$
$930$	−18.5543	−	50.9775i	−0.608419	−	1.67162i
$931$			19.5079i			0.639347i
$932$	4.04685	−	1.47293i	0.132559	−	0.0482475i
$933$	43.4827	−	25.1047i	1.42356	−	0.821892i
$934$	−3.56631	−	20.2255i	−0.116693	−	0.661800i
$935$	0.120591	−	0.208869i	0.00394373	−	0.00683075i
$936$	−0.767273	−	1.32896i	−0.0250791	−	0.0434383i
$937$	−44.8844	+	37.6625i	−1.46631	+	1.23038i	−0.546828	+	0.837245i	$0.684165\pi$
$937$	−44.8844	+	37.6625i	−1.46631	+	1.23038i	−0.919481	+	0.393134i	$0.871391\pi$
$938$	24.6167	+	4.34059i	0.803764	+	0.141725i
$939$	15.5008	+	8.94939i	0.505849	+	0.292052i
$940$	−3.81098	+	10.4706i	−0.124300	+	0.341513i
$941$	44.2420	+	16.1028i	1.44225	+	0.524936i	0.940415	−	0.340028i	$-0.110437\pi$
$941$	44.2420	+	16.1028i	1.44225	+	0.524936i	0.501834	+	0.864964i	$0.332659\pi$
$942$	−24.1473	+	4.25783i	−0.786763	+	0.138727i
$943$	2.84978	−	3.39623i	0.0928015	−	0.110597i
$944$	−3.61556	+	4.30886i	−0.117677	+	0.140241i
$945$	70.3409	−	12.4030i	2.28819	−	0.403470i
$946$	−11.0146	−	4.00900i	−0.358117	−	0.130344i
$947$	6.54191	−	17.9738i	0.212584	−	0.584068i	−0.786870	−	0.617119i	$-0.788300\pi$
$947$	6.54191	−	17.9738i	0.212584	−	0.584068i	0.999454	+	0.0330502i	$0.0105221\pi$
$948$	2.30327	+	1.32980i	0.0748068	+	0.0431898i
$949$	46.2118	+	8.14838i	1.50010	+	0.264508i
$950$	32.6033	−	27.3574i	1.05779	−	0.887591i
$951$	14.2417	+	24.6673i	0.461817	+	0.799891i
$952$	0.0482482	−	0.0835683i	0.00156373	−	0.00270847i
$953$	0.149089	+	0.845526i	0.00482947	+	0.0273893i	0.987127	−	0.159937i	$-0.0511290\pi$
$953$	0.149089	+	0.845526i	0.00482947	+	0.0273893i	−0.982298	+	0.187326i	$0.940018\pi$
$954$	0.879682	−	0.507885i	0.0284808	−	0.0164434i
$955$	53.9473	−	19.6352i	1.74569	−	0.635381i
$956$		−	14.2423i		−	0.460629i
$957$	7.80065	+	21.4321i	0.252159	+	0.692801i
$958$	1.09396	−	6.20416i	0.0353443	−	0.200447i
$959$	48.0183	+	40.2922i	1.55059	+	1.30110i
$960$	−5.15127	−	6.13905i	−0.166257	−	0.198137i
$961$	−14.8237			−0.478185
$962$	−16.7191	−	5.31212i	−0.539045	−	0.171270i
$963$	0.203394			0.00655429
$964$	9.16681	+	10.9246i	0.295243	+	0.351857i
$965$	−14.7721	−	12.3953i	−0.475532	−	0.399018i
$966$	3.50332	−	19.8683i	0.112717	−	0.639252i
$967$	20.6459	+	56.7241i	0.663927	+	1.82412i	0.558160	+	0.829733i	$0.311507\pi$
$967$	20.6459	+	56.7241i	0.663927	+	1.82412i	0.105766	+	0.994391i	$0.466270\pi$
$968$			6.51914i			0.209533i
$969$	−0.152346	+	0.0554492i	−0.00489404	+	0.00178129i
$970$	24.0969	−	13.9123i	0.773704	−	0.446698i
$971$	−6.14330	−	34.8404i	−0.197148	−	1.11808i	−0.909327	−	0.416083i	$-0.863403\pi$
$971$	−6.14330	−	34.8404i	−0.197148	−	1.11808i	0.712179	−	0.701998i	$-0.247709\pi$
$972$	−2.73396	+	4.73535i	−0.0876917	+	0.151886i
$973$	−16.6585	−	28.8534i	−0.534048	−	0.924999i
$974$	21.1354	−	17.7347i	0.677222	−	0.568256i
$975$	−70.3677	−	12.4077i	−2.25357	−	0.397365i
$976$	4.97174	+	2.87044i	0.159142	+	0.0918804i
$977$	−11.7238	+	32.2109i	−0.375078	+	1.03052i	0.598292	+	0.801278i	$0.295846\pi$
$977$	−11.7238	+	32.2109i	−0.375078	+	1.03052i	−0.973370	+	0.229240i	$0.926376\pi$
$978$	−44.6039	−	16.2345i	−1.42628	−	0.519122i
$979$	17.2420	−	3.04022i	0.551055	−	0.0971659i
$980$	16.5620	−	19.7379i	0.529054	−	0.630503i
$981$	0.330249	−	0.393576i	0.0105440	−	0.0125659i
$982$	−32.5184	+	5.73388i	−1.03770	+	0.182975i
$983$	−15.2535	−	5.55182i	−0.486511	−	0.177076i	0.0871061	−	0.996199i	$-0.472238\pi$
$983$	−15.2535	−	5.55182i	−0.486511	−	0.177076i	−0.573617	+	0.819123i	$0.694460\pi$
$984$	−0.958732	+	2.63410i	−0.0305633	+	0.0839719i
$985$	45.6880	+	26.3780i	1.45574	+	0.840473i
$986$	0.150857	+	0.0266001i	0.00480426	+	0.000847120i
$987$	13.5864	−	11.4003i	0.432459	−	0.362876i
$988$	−4.65546	−	8.06349i	−0.148110	−	0.256534i
$989$	−8.22976	+	14.2544i	−0.261691	+	0.453263i
$990$	0.834001	+	4.72986i	0.0265063	+	0.150325i
$991$	−2.92903	+	1.69107i	−0.0930436	+	0.0537187i	−0.545800	−	0.837916i	$-0.683774\pi$
$991$	−2.92903	+	1.69107i	−0.0930436	+	0.0537187i	0.452756	+	0.891634i	$0.350441\pi$
$992$	−6.36108	+	2.31524i	−0.201965	+	0.0735091i
$993$			3.88315i			0.123228i
$994$	11.4616	+	31.4904i	0.363538	+	0.998814i
$995$	−3.33922	+	18.9376i	−0.105860	+	0.600364i
$996$	2.44232	+	2.04935i	0.0773879	+	0.0649361i
$997$	−25.7715	−	30.7132i	−0.816190	−	0.972698i	0.183757	−	0.982972i	$-0.441174\pi$
$997$	−25.7715	−	30.7132i	−0.816190	−	0.972698i	−0.999947	+	0.0102738i	$0.996730\pi$
$998$	21.0861			0.667469
$999$	6.04553	+	27.5575i	0.191272	+	0.871879i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	74.2.h.a.25.2	yes	12
3.2	odd	2		666.2.bj.c.469.1		12
4.3	odd	2		592.2.bq.b.321.1		12
37.3	even	18	inner	74.2.h.a.3.2	✓	12
37.15	odd	36		2738.2.a.r.1.2		6
37.22	odd	36		2738.2.a.s.1.1		6
111.77	odd	18		666.2.bj.c.595.1		12
148.3	odd	18		592.2.bq.b.225.1		12

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
74.2.h.a.3.2	✓	12	37.3	even	18	inner
74.2.h.a.25.2	yes	12	1.1	even	1	trivial
592.2.bq.b.225.1		12	148.3	odd	18
592.2.bq.b.321.1		12	4.3	odd	2
666.2.bj.c.469.1		12	3.2	odd	2
666.2.bj.c.595.1		12	111.77	odd	18
2738.2.a.r.1.2		6	37.15	odd	36
2738.2.a.s.1.1		6	37.22	odd	36

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:	\( N \)	\(=\)	\( 74 = 2 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	74.h (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.642788 + 0.766044i) q^{2} +(1.43969 + 1.20805i) q^{3} +(-0.173648 + 0.984808i) q^{4} +(-1.45842 - 4.00698i) q^{5} +1.87939i q^{6} +(-3.39364 + 1.23518i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(0.0923963 + 0.524005i) q^{9} +O(q^{10})\)	\(q+(0.642788 + 0.766044i) q^{2} +(1.43969 + 1.20805i) q^{3} +(-0.173648 + 0.984808i) q^{4} +(-1.45842 - 4.00698i) q^{5} +1.87939i q^{6} +(-3.39364 + 1.23518i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(0.0923963 + 0.524005i) q^{9} +(2.13207 - 3.69285i) q^{10} +(1.05840 + 1.83321i) q^{11} +(-1.43969 + 1.20805i) q^{12} +(2.84019 + 0.500802i) q^{13} +(-3.12760 - 1.80572i) q^{14} +(2.74094 - 7.53066i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(0.0263137 - 0.00463982i) q^{17} +(-0.342020 + 0.407604i) q^{18} +(-2.07522 + 2.47315i) q^{19} +(4.19936 - 0.740460i) q^{20} +(-6.37796 - 2.32139i) q^{21} +(-0.723990 + 1.98915i) q^{22} +(2.57421 + 1.48622i) q^{23} +(-1.85083 - 0.326352i) q^{24} +(-10.0987 + 8.47380i) q^{25} +(1.44200 + 2.49762i) q^{26} +(2.31908 - 4.01676i) q^{27} +(-0.627119 - 3.55657i) q^{28} +(4.96493 - 2.86650i) q^{29} +(7.53066 - 2.74094i) q^{30} -6.76932i q^{31} +(-0.342020 - 0.939693i) q^{32} +(-0.690823 + 3.91785i) q^{33} +(0.0204685 + 0.0171751i) q^{34} +(9.89872 + 11.7968i) q^{35} -0.532089 q^{36} +(-4.49375 + 4.09954i) q^{37} -3.22847 q^{38} +(3.48401 + 4.15208i) q^{39} +(3.26652 + 2.74094i) q^{40} +(0.259000 - 1.46886i) q^{41} +(-2.32139 - 6.37796i) q^{42} +5.53737i q^{43} +(-1.98915 + 0.723990i) q^{44} +(1.96493 - 1.13445i) q^{45} +(0.516159 + 2.92728i) q^{46} +(-1.30654 + 2.26300i) q^{47} +(-0.939693 - 1.62760i) q^{48} +(4.62880 - 3.88403i) q^{49} +(-12.9826 - 2.28918i) q^{50} +(0.0434888 + 0.0251083i) q^{51} +(-0.986387 + 2.71008i) q^{52} +(-1.79389 - 0.652924i) q^{53} +(4.56769 - 0.805407i) q^{54} +(5.80203 - 6.91459i) q^{55} +(2.32139 - 2.76652i) q^{56} +(-5.97536 + 1.05362i) q^{57} +(5.38726 + 1.96080i) q^{58} +(1.92380 - 5.28560i) q^{59} +(6.94029 + 4.00698i) q^{60} +(-5.65366 - 0.996892i) q^{61} +(5.18560 - 4.35124i) q^{62} +(-0.960802 - 1.66416i) q^{63} +(0.500000 - 0.866025i) q^{64} +(-2.13549 - 12.1110i) q^{65} +(-3.44530 + 1.98915i) q^{66} +(-6.50406 + 2.36728i) q^{67} +0.0267197i q^{68} +(1.91065 + 5.24947i) q^{69} +(-2.67412 + 15.1657i) q^{70} +(-7.10830 - 5.96457i) q^{71} +(-0.342020 - 0.407604i) q^{72} +16.2707 q^{73} +(-6.02896 - 0.807274i) q^{74} -24.7757 q^{75} +(-2.07522 - 2.47315i) q^{76} +(-5.85619 - 4.91392i) q^{77} +(-0.941199 + 5.33781i) q^{78} +(-0.484006 - 1.32980i) q^{79} +4.26414i q^{80} +(9.69119 - 3.52730i) q^{81} +(1.29170 - 0.745761i) q^{82} +(-0.294580 - 1.67065i) q^{83} +(3.39364 - 5.87796i) q^{84} +(-0.0569682 - 0.0986718i) q^{85} +(-4.24187 + 3.55935i) q^{86} +(10.6108 + 1.87098i) q^{87} +(-1.83321 - 1.05840i) q^{88} +(2.82882 - 7.77213i) q^{89} +(2.13207 + 0.776010i) q^{90} +(-10.2572 + 1.80861i) q^{91} +(-1.91065 + 2.27702i) q^{92} +(8.17765 - 9.74574i) q^{93} +(-2.57339 + 0.453757i) q^{94} +(12.9364 + 4.70847i) q^{95} +(0.642788 - 1.76604i) q^{96} +(5.65105 + 3.26264i) q^{97} +(5.95067 + 1.04926i) q^{98} +(-0.862818 + 0.723990i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 12 q + 6 q^{3} - 12 q^{7} - 6 q^{9}+O(q^{10}) \) 12 * q + 6 * q^3 - 12 * q^7 - 6 * q^9	\( 12 q + 6 q^{3} - 12 q^{7} - 6 q^{9} + 6 q^{10} - 6 q^{11} - 6 q^{12} + 6 q^{13} - 18 q^{14} - 18 q^{19} - 6 q^{21} - 18 q^{25} + 12 q^{26} - 6 q^{27} - 6 q^{28} + 18 q^{29} + 24 q^{30} - 6 q^{33} + 12 q^{34} + 18 q^{35} + 12 q^{36} + 30 q^{37} - 24 q^{38} + 30 q^{39} + 12 q^{40} + 24 q^{41} + 6 q^{44} - 18 q^{45} + 30 q^{46} + 6 q^{47} + 12 q^{49} - 36 q^{50} - 12 q^{52} - 12 q^{53} - 18 q^{55} - 36 q^{57} + 6 q^{58} - 36 q^{61} - 6 q^{63} + 6 q^{64} + 36 q^{65} - 30 q^{67} - 18 q^{69} - 12 q^{70} + 12 q^{71} - 48 q^{74} - 36 q^{75} - 18 q^{76} + 12 q^{77} - 6 q^{78} + 6 q^{79} + 24 q^{81} - 48 q^{83} + 12 q^{84} + 18 q^{85} - 36 q^{86} + 36 q^{87} - 36 q^{88} - 18 q^{89} + 6 q^{90} - 6 q^{91} + 18 q^{92} - 12 q^{93} + 36 q^{97} + 36 q^{98} + 30 q^{99}+O(q^{100}) \) 12 * q + 6 * q^3 - 12 * q^7 - 6 * q^9 + 6 * q^10 - 6 * q^11 - 6 * q^12 + 6 * q^13 - 18 * q^14 - 18 * q^19 - 6 * q^21 - 18 * q^25 + 12 * q^26 - 6 * q^27 - 6 * q^28 + 18 * q^29 + 24 * q^30 - 6 * q^33 + 12 * q^34 + 18 * q^35 + 12 * q^36 + 30 * q^37 - 24 * q^38 + 30 * q^39 + 12 * q^40 + 24 * q^41 + 6 * q^44 - 18 * q^45 + 30 * q^46 + 6 * q^47 + 12 * q^49 - 36 * q^50 - 12 * q^52 - 12 * q^53 - 18 * q^55 - 36 * q^57 + 6 * q^58 - 36 * q^61 - 6 * q^63 + 6 * q^64 + 36 * q^65 - 30 * q^67 - 18 * q^69 - 12 * q^70 + 12 * q^71 - 48 * q^74 - 36 * q^75 - 18 * q^76 + 12 * q^77 - 6 * q^78 + 6 * q^79 + 24 * q^81 - 48 * q^83 + 12 * q^84 + 18 * q^85 - 36 * q^86 + 36 * q^87 - 36 * q^88 - 18 * q^89 + 6 * q^90 - 6 * q^91 + 18 * q^92 - 12 * q^93 + 36 * q^97 + 36 * q^98 + 30 * q^99

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