LMFDB - Embedded newform 91.2.w.a.33.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [91,2,Mod(19,91)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(91, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([10, 5]))

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

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

chi := DirichletCharacter("91.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 91 = 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	91.w (of order $12$, degree $4$, 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:	$0.726638658394$
Analytic rank:	$0$
Dimension:	$28$
Relative dimension:	$7$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			33.7
Character	$\chi$	$=$	91.33
Dual form			91.2.w.a.80.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.554474 - 2.06932i) q^{2} -0.0197323i q^{3} +(-2.24261 - 1.29477i) q^{4} +(-0.360406 - 1.34505i) q^{5} +(-0.0408324 - 0.0109410i) q^{6} +(-1.53049 + 2.15815i) q^{7} +(-0.893066 + 0.893066i) q^{8} +2.99961 q^{9} +O(q^{10})$	\(q+(0.554474 - 2.06932i) q^{2} -0.0197323i q^{3} +(-2.24261 - 1.29477i) q^{4} +(-0.360406 - 1.34505i) q^{5} +(-0.0408324 - 0.0109410i) q^{6} +(-1.53049 + 2.15815i) q^{7} +(-0.893066 + 0.893066i) q^{8} +2.99961 q^{9} -2.98319 q^{10} +(-0.246497 + 0.246497i) q^{11} +(-0.0255487 + 0.0442517i) q^{12} +(1.32860 + 3.35184i) q^{13} +(3.61728 + 4.36372i) q^{14} +(-0.0265409 + 0.00711162i) q^{15} +(-1.23668 - 2.14199i) q^{16} +(-0.491119 + 0.850644i) q^{17} +(1.66320 - 6.20717i) q^{18} +(-3.25796 + 3.25796i) q^{19} +(-0.933286 + 3.48307i) q^{20} +(0.0425851 + 0.0302001i) q^{21} +(0.373406 + 0.646758i) q^{22} +(2.86256 - 1.65270i) q^{23} +(0.0176222 + 0.0176222i) q^{24} +(2.65085 - 1.53047i) q^{25} +(7.67271 - 0.890788i) q^{26} -0.118386i q^{27} +(6.22660 - 2.85824i) q^{28} +(-0.941928 + 1.63147i) q^{29} +0.0588650i q^{30} +(-2.81980 - 0.755562i) q^{31} +(-7.55808 + 2.02518i) q^{32} +(0.00486394 + 0.00486394i) q^{33} +(1.48794 + 1.48794i) q^{34} +(3.45442 + 1.28079i) q^{35} +(-6.72695 - 3.88381i) q^{36} +(-7.91642 - 2.12120i) q^{37} +(4.93532 + 8.54823i) q^{38} +(0.0661394 - 0.0262162i) q^{39} +(1.52309 + 0.879355i) q^{40} +(-0.580331 - 2.16583i) q^{41} +(0.0861060 - 0.0713771i) q^{42} +(-6.47031 + 3.73564i) q^{43} +(0.871953 - 0.233639i) q^{44} +(-1.08108 - 4.03464i) q^{45} +(-1.83276 - 6.83994i) q^{46} +(-10.5791 + 2.83465i) q^{47} +(-0.0422663 + 0.0244025i) q^{48} +(-2.31518 - 6.60605i) q^{49} +(-1.69721 - 6.33408i) q^{50} +(0.0167851 + 0.00969089i) q^{51} +(1.36034 - 9.23709i) q^{52} +(3.77305 + 6.53511i) q^{53} +(-0.244979 - 0.0656418i) q^{54} +(0.420391 + 0.242713i) q^{55} +(-0.560535 - 3.29420i) q^{56} +(0.0642869 + 0.0642869i) q^{57} +(2.85376 + 2.85376i) q^{58} +(14.7344 - 3.94808i) q^{59} +(0.0687288 + 0.0184158i) q^{60} -6.45528i q^{61} +(-3.12700 + 5.41613i) q^{62} +(-4.59088 + 6.47360i) q^{63} +11.8163i q^{64} +(4.02957 - 2.99505i) q^{65} +(0.0127620 - 0.00736814i) q^{66} +(7.13655 + 7.13655i) q^{67} +(2.20278 - 1.27177i) q^{68} +(-0.0326115 - 0.0564847i) q^{69} +(4.56574 - 6.43815i) q^{70} +(2.43186 - 9.07582i) q^{71} +(-2.67885 + 2.67885i) q^{72} +(2.76117 - 10.3048i) q^{73} +(-8.77889 + 15.2055i) q^{74} +(-0.0301996 - 0.0523073i) q^{75} +(11.5246 - 3.08802i) q^{76} +(-0.154714 - 0.909238i) q^{77} +(-0.0175773 - 0.151400i) q^{78} +(0.890418 - 1.54225i) q^{79} +(-2.43539 + 2.43539i) q^{80} +8.99650 q^{81} -4.80357 q^{82} +(-8.33002 + 8.33002i) q^{83} +(-0.0563995 - 0.122865i) q^{84} +(1.32116 + 0.354005i) q^{85} +(4.14262 + 15.4605i) q^{86} +(0.0321925 + 0.0185864i) q^{87} -0.440276i q^{88} +(3.51921 - 13.1339i) q^{89} -8.94839 q^{90} +(-9.26716 - 2.26267i) q^{91} -8.55946 q^{92} +(-0.0149089 + 0.0556409i) q^{93} +23.4632i q^{94} +(5.55632 + 3.20794i) q^{95} +(0.0399614 + 0.149138i) q^{96} +(12.6772 + 3.39684i) q^{97} +(-14.9538 + 1.12798i) q^{98} +(-0.739395 + 0.739395i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 28 q - 2 q^{2} - 6 q^{4} - 6 q^{5} + 12 q^{6} + 2 q^{7} - 4 q^{8} - 12 q^{9}+O(q^{10}) $ 28 * q - 2 * q^2 - 6 * q^4 - 6 * q^5 + 12 * q^6 + 2 * q^7 - 4 * q^8 - 12 * q^9	\( 28 q - 2 q^{2} - 6 q^{4} - 6 q^{5} + 12 q^{6} + 2 q^{7} - 4 q^{8} - 12 q^{9} - 12 q^{10} + 2 q^{11} + 8 q^{12} - 20 q^{14} + 10 q^{15} - 2 q^{16} - 6 q^{17} - 4 q^{18} - 8 q^{19} - 36 q^{20} - 2 q^{21} - 8 q^{22} - 6 q^{23} + 12 q^{24} + 24 q^{26} - 18 q^{28} - 8 q^{29} - 38 q^{31} - 20 q^{32} + 18 q^{33} + 12 q^{34} - 2 q^{35} + 54 q^{36} - 16 q^{37} + 28 q^{39} + 48 q^{40} + 18 q^{41} - 4 q^{42} + 48 q^{43} - 6 q^{44} + 12 q^{45} + 18 q^{46} - 42 q^{47} + 12 q^{48} + 8 q^{49} + 10 q^{50} + 12 q^{51} - 28 q^{52} + 12 q^{53} - 30 q^{54} - 6 q^{55} - 24 q^{56} + 12 q^{57} + 62 q^{58} - 6 q^{59} + 16 q^{60} - 36 q^{62} - 38 q^{63} - 2 q^{65} + 66 q^{66} - 4 q^{67} + 30 q^{68} + 42 q^{69} + 68 q^{70} - 42 q^{71} - 38 q^{72} + 14 q^{73} - 6 q^{74} - 20 q^{75} + 52 q^{76} - 62 q^{78} + 4 q^{79} + 12 q^{80} + 12 q^{81} - 108 q^{82} - 66 q^{83} - 56 q^{84} - 54 q^{85} - 30 q^{86} + 42 q^{87} - 30 q^{89} - 72 q^{90} - 42 q^{91} - 156 q^{92} + 14 q^{93} - 6 q^{95} + 18 q^{96} + 62 q^{97} + 112 q^{98} - 36 q^{99}+O(q^{100}) \) 28 * q - 2 * q^2 - 6 * q^4 - 6 * q^5 + 12 * q^6 + 2 * q^7 - 4 * q^8 - 12 * q^9 - 12 * q^10 + 2 * q^11 + 8 * q^12 - 20 * q^14 + 10 * q^15 - 2 * q^16 - 6 * q^17 - 4 * q^18 - 8 * q^19 - 36 * q^20 - 2 * q^21 - 8 * q^22 - 6 * q^23 + 12 * q^24 + 24 * q^26 - 18 * q^28 - 8 * q^29 - 38 * q^31 - 20 * q^32 + 18 * q^33 + 12 * q^34 - 2 * q^35 + 54 * q^36 - 16 * q^37 + 28 * q^39 + 48 * q^40 + 18 * q^41 - 4 * q^42 + 48 * q^43 - 6 * q^44 + 12 * q^45 + 18 * q^46 - 42 * q^47 + 12 * q^48 + 8 * q^49 + 10 * q^50 + 12 * q^51 - 28 * q^52 + 12 * q^53 - 30 * q^54 - 6 * q^55 - 24 * q^56 + 12 * q^57 + 62 * q^58 - 6 * q^59 + 16 * q^60 - 36 * q^62 - 38 * q^63 - 2 * q^65 + 66 * q^66 - 4 * q^67 + 30 * q^68 + 42 * q^69 + 68 * q^70 - 42 * q^71 - 38 * q^72 + 14 * q^73 - 6 * q^74 - 20 * q^75 + 52 * q^76 - 62 * q^78 + 4 * q^79 + 12 * q^80 + 12 * q^81 - 108 * q^82 - 66 * q^83 - 56 * q^84 - 54 * q^85 - 30 * q^86 + 42 * q^87 - 30 * q^89 - 72 * q^90 - 42 * q^91 - 156 * q^92 + 14 * q^93 - 6 * q^95 + 18 * q^96 + 62 * q^97 + 112 * q^98 - 36 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/91\mathbb{Z}\right)^\times$.

$n$	$15$	$66$
$\chi(n)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{5}{6}\right)$

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 $

$2$	0.554474	−	2.06932i	0.392072	−	1.46323i	−0.434638	−	0.900605i	$-0.643124\pi$
$2$	0.554474	−	2.06932i	0.392072	−	1.46323i	0.826710	−	0.562628i	$-0.190210\pi$
$3$		−	0.0197323i		−	0.0113924i	−0.999984	−	0.00569621i	$-0.998187\pi$
$3$		−	0.0197323i		−	0.0113924i	0.999984	−	0.00569621i	$-0.00181317\pi$
$4$	−2.24261	−	1.29477i	−1.12130	−	0.647385i
$5$	−0.360406	−	1.34505i	−0.161178	−	0.601526i	−0.998497	−	0.0548104i	$-0.982545\pi$
$5$	−0.360406	−	1.34505i	−0.161178	−	0.601526i	0.837318	−	0.546716i	$-0.184122\pi$
$6$	−0.0408324	−	0.0109410i	−0.0166698	−	0.00446665i
$7$	−1.53049	+	2.15815i	−0.578472	+	0.815702i
$7$	−1.53049	+	2.15815i	−0.578472	+	0.815702i
$8$	−0.893066	+	0.893066i	−0.315747	+	0.315747i
$9$	2.99961			0.999870
$10$	−2.98319			−0.943366
$11$	−0.246497	+	0.246497i	−0.0743217	+	0.0743217i	−0.743290	−	0.668969i	$-0.766736\pi$
$11$	−0.246497	+	0.246497i	−0.0743217	+	0.0743217i	0.668969	+	0.743290i	$0.266736\pi$
$12$	−0.0255487	+	0.0442517i	−0.00737529	+	0.0127744i
$13$	1.32860	+	3.35184i	0.368486	+	0.929633i
$13$	1.32860	+	3.35184i	0.368486	+	0.929633i
$14$	3.61728	+	4.36372i	0.966759	+	1.16625i
$15$	−0.0265409	+	0.00711162i	−0.00685284	+	0.00183621i
$16$	−1.23668	−	2.14199i	−0.309170	−	0.535498i
$17$	−0.491119	+	0.850644i	−0.119114	+	0.206311i	−0.919417	−	0.393285i	$-0.871339\pi$
$17$	−0.491119	+	0.850644i	−0.119114	+	0.206311i	0.800303	+	0.599596i	$0.204672\pi$
$18$	1.66320	−	6.20717i	0.392021	−	1.46304i
$19$	−3.25796	+	3.25796i	−0.747428	+	0.747428i	−0.973995	−	0.226568i	$-0.927250\pi$
$19$	−3.25796	+	3.25796i	−0.747428	+	0.747428i	0.226568	+	0.973995i	$0.427250\pi$
$20$	−0.933286	+	3.48307i	−0.208689	+	0.778838i
$21$	0.0425851	+	0.0302001i	0.00929282	+	0.00659020i
$22$	0.373406	+	0.646758i	0.0796104	+	0.137889i
$23$	2.86256	−	1.65270i	0.596885	−	0.344612i	−0.170930	−	0.985283i	$-0.554677\pi$
$23$	2.86256	−	1.65270i	0.596885	−	0.344612i	0.767815	+	0.640672i	$0.221344\pi$
$24$	0.0176222	+	0.0176222i	0.00359712	+	0.00359712i
$25$	2.65085	−	1.53047i	0.530170	−	0.306094i
$26$	7.67271	−	0.890788i	1.50474	−	0.174698i
$27$		−	0.118386i		−	0.0227834i
$28$	6.22660	−	2.85824i	1.17672	−	0.540156i
$29$	−0.941928	+	1.63147i	−0.174912	+	0.302956i	−0.940131	−	0.340814i	$-0.889297\pi$
$29$	−0.941928	+	1.63147i	−0.174912	+	0.302956i	0.765219	+	0.643770i	$0.222631\pi$
$30$			0.0588650i			0.0107472i
$31$	−2.81980	−	0.755562i	−0.506450	−	0.135703i	−0.00345828	−	0.999994i	$-0.501101\pi$
$31$	−2.81980	−	0.755562i	−0.506450	−	0.135703i	−0.502992	+	0.864291i	$0.667767\pi$
$32$	−7.55808	+	2.02518i	−1.33609	+	0.358005i
$33$	0.00486394	+	0.00486394i	0.000846704	+	0.000846704i
$34$	1.48794	+	1.48794i	0.255180	+	0.255180i
$35$	3.45442	+	1.28079i	0.583903	+	0.216492i
$36$	−6.72695	−	3.88381i	−1.12116	−	0.647301i
$37$	−7.91642	−	2.12120i	−1.30145	−	0.348723i	−0.459453	−	0.888202i	$-0.651954\pi$
$37$	−7.91642	−	2.12120i	−1.30145	−	0.348723i	−0.841999	+	0.539479i	$0.818621\pi$
$38$	4.93532	+	8.54823i	0.800615	+	1.38671i
$39$	0.0661394	−	0.0262162i	0.0105908	−	0.00419795i
$40$	1.52309	+	0.879355i	0.240821	+	0.139038i
$41$	−0.580331	−	2.16583i	−0.0906326	−	0.338245i	0.905689	−	0.423944i	$-0.139355\pi$
$41$	−0.580331	−	2.16583i	−0.0906326	−	0.338245i	−0.996321	+	0.0856983i	$0.972688\pi$
$42$	0.0861060	−	0.0713771i	0.0132865	−	0.0110137i
$43$	−6.47031	+	3.73564i	−0.986714	+	0.569679i	−0.904290	−	0.426918i	$-0.859599\pi$
$43$	−6.47031	+	3.73564i	−0.986714	+	0.569679i	−0.0824233	+	0.996597i	$0.526266\pi$
$44$	0.871953	−	0.233639i	0.131452	−	0.0352224i
$45$	−1.08108	−	4.03464i	−0.161157	−	0.601448i
$46$	−1.83276	−	6.83994i	−0.270225	−	1.00849i
$47$	−10.5791	+	2.83465i	−1.54311	+	0.413476i	−0.927271	−	0.374392i	$-0.877852\pi$
$47$	−10.5791	+	2.83465i	−1.54311	+	0.413476i	−0.615844	+	0.787868i	$0.711185\pi$
$48$	−0.0422663	+	0.0244025i	−0.00610062	+	0.00352219i
$49$	−2.31518	−	6.60605i	−0.330740	−	0.943722i
$50$	−1.69721	−	6.33408i	−0.240022	−	0.895774i
$51$	0.0167851	+	0.00969089i	0.00235039	+	0.00135700i
$52$	1.36034	−	9.23709i	0.188646	−	1.28095i
$53$	3.77305	+	6.53511i	0.518268	+	0.897667i	0.999775	+	0.0212243i	$0.00675642\pi$
$53$	3.77305	+	6.53511i	0.518268	+	0.897667i	−0.481507	+	0.876442i	$0.659910\pi$
$54$	−0.244979	−	0.0656418i	−0.0333374	−	0.00893272i
$55$	0.420391	+	0.242713i	0.0566855	+	0.0327274i
$56$	−0.560535	−	3.29420i	−0.0749046	−	0.440206i
$57$	0.0642869	+	0.0642869i	0.00851501	+	0.00851501i
$58$	2.85376	+	2.85376i	0.374717	+	0.374717i
$59$	14.7344	−	3.94808i	1.91826	−	0.513996i	0.928484	−	0.371372i	$-0.121113\pi$
$59$	14.7344	−	3.94808i	1.91826	−	0.513996i	0.989777	−	0.142624i	$-0.0455540\pi$
$60$	0.0687288	+	0.0184158i	0.00887285	+	0.00237747i
$61$		−	6.45528i		−	0.826514i	−0.910614	−	0.413257i	$-0.864391\pi$
$61$		−	6.45528i		−	0.826514i	0.910614	−	0.413257i	$-0.135609\pi$
$62$	−3.12700	+	5.41613i	−0.397130	+	0.687849i
$63$	−4.59088	+	6.47360i	−0.578397	+	0.815596i
$64$			11.8163i			1.47704i
$65$	4.02957	−	2.99505i	0.499807	−	0.371491i
$66$	0.0127620	−	0.00736814i	0.00157089	−	0.000906956i
$67$	7.13655	+	7.13655i	0.871868	+	0.871868i	0.992676	−	0.120808i	$-0.0385485\pi$
$67$	7.13655	+	7.13655i	0.871868	+	0.871868i	−0.120808	+	0.992676i	$0.538549\pi$
$68$	2.20278	−	1.27177i	0.267126	−	0.154225i
$69$	−0.0326115	−	0.0564847i	−0.00392596	−	0.00679996i
$70$	4.56574	−	6.43815i	0.545711	−	0.769506i
$71$	2.43186	−	9.07582i	0.288608	−	1.07710i	−0.657554	−	0.753408i	$-0.728409\pi$
$71$	2.43186	−	9.07582i	0.288608	−	1.07710i	0.946162	−	0.323693i	$-0.104925\pi$
$72$	−2.67885	+	2.67885i	−0.315706	+	0.315706i
$73$	2.76117	−	10.3048i	0.323170	−	1.20609i	−0.592968	−	0.805226i	$-0.702044\pi$
$73$	2.76117	−	10.3048i	0.323170	−	1.20609i	0.916138	−	0.400862i	$-0.131289\pi$
$74$	−8.77889	+	15.2055i	−1.02053	+	1.76760i
$75$	−0.0301996	−	0.0523073i	−0.00348715	−	0.00603993i
$76$	11.5246	−	3.08802i	1.32197	−	0.354220i
$77$	−0.154714	−	0.909238i	−0.0176313	−	0.103617i
$78$	−0.0175773	−	0.151400i	−0.00199023	−	0.0171427i
$79$	0.890418	−	1.54225i	0.100180	−	0.173517i	−0.811579	−	0.584243i	$-0.801392\pi$
$79$	0.890418	−	1.54225i	0.100180	−	0.173517i	0.911759	+	0.410726i	$0.134725\pi$
$80$	−2.43539	+	2.43539i	−0.272284	+	0.272284i
$81$	8.99650			0.999611
$82$	−4.80357			−0.530466
$83$	−8.33002	+	8.33002i	−0.914339	+	0.914339i	−0.996610	−	0.0822710i	$-0.973783\pi$
$83$	−8.33002	+	8.33002i	−0.914339	+	0.914339i	0.0822710	+	0.996610i	$0.473783\pi$
$84$	−0.0563995	−	0.122865i	−0.00615369	−	0.0134057i
$85$	1.32116	+	0.354005i	0.143300	+	0.0383972i
$86$	4.14262	+	15.4605i	0.446711	+	1.66715i
$87$	0.0321925	+	0.0185864i	0.00345140	+	0.00199267i
$88$		−	0.440276i		−	0.0469336i
$89$	3.51921	−	13.1339i	0.373036	−	1.39219i	−0.483158	−	0.875533i	$-0.660510\pi$
$89$	3.51921	−	13.1339i	0.373036	−	1.39219i	0.856194	−	0.516655i	$-0.172823\pi$
$90$	−8.94839			−0.943244
$91$	−9.26716	−	2.26267i	−0.971463	−	0.237192i
$92$	−8.55946			−0.892386
$93$	−0.0149089	+	0.0556409i	−0.00154599	+	0.00576970i
$94$			23.4632i			2.42005i
$95$	5.55632	+	3.20794i	0.570066	+	0.329128i
$96$	0.0399614	+	0.149138i	0.00407854	+	0.0152213i
$97$	12.6772	+	3.39684i	1.28717	+	0.344897i	0.836587	−	0.547835i	$-0.184548\pi$
$97$	12.6772	+	3.39684i	1.28717	+	0.344897i	0.450588	+	0.892732i	$0.351214\pi$
$98$	−14.9538	+	1.12798i	−1.51056	+	0.113943i
$99$	−0.739395	+	0.739395i	−0.0743120	+	0.0743120i
$100$	−7.92643			−0.792643
$101$	1.11338			0.110785			0.0553925	−	0.998465i	$-0.482359\pi$
$101$	1.11338			0.110785			0.0553925	+	0.998465i	$0.482359\pi$
$102$	0.0293605	−	0.0293605i	0.00290712	−	0.00290712i
$103$	−3.57913	+	6.19923i	−0.352662	+	0.610828i	−0.986715	−	0.162461i	$-0.948057\pi$
$103$	−3.57913	+	6.19923i	−0.352662	+	0.610828i	0.634053	+	0.773290i	$0.281390\pi$
$104$	−4.17994	−	1.80689i	−0.409877	−	0.177180i
$105$	0.0252728	−	0.0681635i	0.00246637	−	0.00665207i
$106$	15.6153	−	4.18411i	1.51669	−	0.406397i
$107$	−6.72602	−	11.6498i	−0.650229	−	1.12623i	−0.983067	−	0.183246i	$-0.941340\pi$
$107$	−6.72602	−	11.6498i	−0.650229	−	1.12623i	0.332838	−	0.942984i	$-0.391994\pi$
$108$	−0.153283	+	0.265493i	−0.0147496	+	0.0255471i
$109$	−2.25457	+	8.41418i	−0.215949	+	0.805932i	0.769881	+	0.638187i	$0.220315\pi$
$109$	−2.25457	+	8.41418i	−0.215949	+	0.805932i	−0.985830	+	0.167745i	$0.946351\pi$
$110$	0.735346	−	0.735346i	0.0701125	−	0.0701125i
$111$	−0.0418560	+	0.156209i	−0.00397280	+	0.0148267i
$112$	6.51546	+	0.609370i	0.615653	+	0.0575800i
$113$	1.70049	+	2.94534i	0.159969	+	0.277074i	0.934857	−	0.355024i	$-0.115527\pi$
$113$	1.70049	+	2.94534i	0.159969	+	0.277074i	−0.774888	+	0.632098i	$0.782194\pi$
$114$	0.168676	−	0.0973851i	0.0157979	−	0.00912095i
$115$	−3.25465	−	3.25465i	−0.303498	−	0.303498i
$116$	4.22475	−	2.43916i	0.392258	−	0.226470i
$117$	3.98527	+	10.0542i	0.368438	+	0.929513i
$118$		−	32.6794i		−	3.00839i
$119$	−1.08416	−	2.36181i	−0.0993846	−	0.216507i
$120$	0.0173517	−	0.0300540i	0.00158398	−	0.00274354i
$121$			10.8785i			0.988953i
$122$	−13.3581	−	3.57928i	−1.20938	−	0.324053i
$123$	−0.0427366	+	0.0114512i	−0.00385343	+	0.00103252i
$124$	5.34542	+	5.34542i	0.480033	+	0.480033i
$125$	−7.93718	−	7.93718i	−0.709923	−	0.709923i
$126$	10.8504	+	13.0895i	0.966634	+	1.16610i
$127$	4.20085	+	2.42536i	0.372765	+	0.215216i	0.674666	−	0.738123i	$-0.264288\pi$
$127$	4.20085	+	2.42536i	0.372765	+	0.215216i	−0.301901	+	0.953339i	$0.597621\pi$
$128$	9.33560	+	2.50147i	0.825159	+	0.221101i
$129$	0.0737126	+	0.127674i	0.00649003	+	0.0112411i
$130$	−3.96345	−	9.99916i	−0.347617	−	0.876984i
$131$	−1.98825	−	1.14792i	−0.173714	−	0.100294i	0.410622	−	0.911806i	$-0.365312\pi$
$131$	−1.98825	−	1.14792i	−0.173714	−	0.100294i	−0.584336	+	0.811512i	$0.698645\pi$
$132$	−0.00461023	−	0.0172056i	−0.000401269	−	0.00149756i
$133$	−2.04487	−	12.0174i	−0.177312	−	1.04204i
$134$	18.7249	−	10.8108i	1.61758	−	0.933911i
$135$	−0.159235	+	0.0426670i	−0.0137048	+	0.00367219i
$136$	−0.321079	−	1.19828i	−0.0275323	−	0.102752i
$137$	−4.87696	−	18.2011i	−0.416667	−	1.55502i	−0.781474	−	0.623938i	$-0.785532\pi$
$137$	−4.87696	−	18.2011i	−0.416667	−	1.55502i	0.364807	−	0.931083i	$-0.381135\pi$
$138$	−0.134967	+	0.0361644i	−0.0114892	+	0.00307852i
$139$	13.0999	−	7.56325i	1.11112	−	0.641506i	0.172002	−	0.985097i	$-0.444976\pi$
$139$	13.0999	−	7.56325i	1.11112	−	0.641506i	0.939120	+	0.343590i	$0.111643\pi$
$140$	−6.08858	−	7.34498i	−0.514579	−	0.620764i
$141$	0.0559341	+	0.208749i	0.00471050	+	0.0175798i
$142$	−17.4324	−	10.0646i	−1.46289	−	0.844602i
$143$	−1.15371	−	0.498724i	−0.0964784	−	0.0417054i
$144$	−3.70956	−	6.42514i	−0.309130	−	0.535428i
$145$	2.53389	+	0.678953i	0.210428	+	0.0563840i
$146$	−19.7930	−	11.4275i	−1.63808	−	0.945747i
$147$	−0.130352	+	0.0456838i	−0.0107513	+	0.00376793i
$148$	15.0070	+	15.0070i	1.23356	+	1.23356i
$149$	11.1036	+	11.1036i	0.909638	+	0.909638i	0.996243	−	0.0866044i	$-0.0276016\pi$
$149$	11.1036	+	11.1036i	0.909638	+	0.909638i	−0.0866044	+	0.996243i	$0.527602\pi$
$150$	−0.124986	+	0.0334898i	−0.0102050	+	0.00273443i
$151$	−4.31214	−	1.15543i	−0.350917	−	0.0940279i	0.0790547	−	0.996870i	$-0.474810\pi$
$151$	−4.31214	−	1.15543i	−0.350917	−	0.0940279i	−0.429972	+	0.902842i	$0.641476\pi$
$152$		−	5.81915i		−	0.471996i
$153$	−1.47317	+	2.55160i	−0.119098	+	0.206285i
$154$	−1.96729	−	0.183995i	−0.158529	−	0.0148267i
$155$			4.06508i			0.326515i
$156$	−0.182269	−	0.0268427i	−0.0145932	−	0.00214913i
$157$	−3.77401	+	2.17892i	−0.301198	+	0.173897i	−0.642981	−	0.765882i	$-0.722303\pi$
$157$	−3.77401	+	2.17892i	−0.301198	+	0.173897i	0.341783	+	0.939779i	$0.388969\pi$
$158$	−2.69770	−	2.69770i	−0.214617	−	0.214617i
$159$	0.128953	−	0.0744508i	0.0102266	−	0.00590433i
$160$	5.44796	+	9.43613i	0.430699	+	0.745992i
$161$	−0.814362	+	8.70726i	−0.0641807	+	0.686228i
$162$	4.98832	−	18.6167i	0.391919	−	1.46266i
$163$	−11.0234	+	11.0234i	−0.863416	+	0.863416i	−0.991733	−	0.128317i	$-0.959042\pi$
$163$	−11.0234	+	11.0234i	−0.863416	+	0.863416i	0.128317	+	0.991733i	$0.459042\pi$
$164$	−1.50279	+	5.60850i	−0.117348	+	0.437950i
$165$	0.00478927	−	0.00829525i	0.000372844	−	0.000645785i
$166$	12.6187	+	21.8563i	0.979404	+	1.69638i
$167$	12.6263	−	3.38321i	0.977053	−	0.261800i	0.265250	−	0.964180i	$-0.414546\pi$
$167$	12.6263	−	3.38321i	0.977053	−	0.261800i	0.711803	+	0.702379i	$0.247879\pi$
$168$	−0.0650020	+	0.0110606i	−0.00501501	+	0.000853345i
$169$	−9.46967	+	8.90648i	−0.728436	+	0.685114i
$170$	1.46510	−	2.53763i	0.112368	−	0.194627i
$171$	−9.77262	+	9.77262i	−0.747331	+	0.747331i
$172$	19.3472			1.47521
$173$	−4.45493			−0.338702			−0.169351	−	0.985556i	$-0.554167\pi$
$173$	−4.45493			−0.338702			−0.169351	+	0.985556i	$0.554167\pi$
$174$	0.0563111	−	0.0563111i	0.00426893	−	0.00426893i
$175$	−0.754134	+	8.06330i	−0.0570072	+	0.609528i
$176$	0.832833	+	0.223157i	0.0627771	+	0.0168211i
$177$	−0.0779046	−	0.290744i	−0.00585567	−	0.0218536i
$178$	−25.2269	−	14.5648i	−1.89084	−	1.09168i
$179$		−	12.0445i		−	0.900246i	−0.892967	−	0.450123i	$-0.851380\pi$
$179$		−	12.0445i		−	0.900246i	0.892967	−	0.450123i	$-0.148620\pi$
$180$	−2.79949	+	10.4479i	−0.208662	+	0.778737i
$181$	−23.4597			−1.74374			−0.871871	−	0.489735i	$-0.837093\pi$
$181$	−23.4597			−1.74374			−0.871871	+	0.489735i	$0.837093\pi$
$182$	−9.82059	+	17.9222i	−0.727950	+	1.32848i
$183$	−0.127377			−0.00941599
$184$	−1.08048	+	4.03242i	−0.0796544	+	0.297274i
$185$			11.4125i			0.839063i
$186$	0.106872	+	0.0617029i	0.00783627	+	0.00452427i
$187$	−0.0886217	−	0.330741i	−0.00648066	−	0.0241862i
$188$	27.3949	+	7.34044i	1.99798	+	0.535357i
$189$	0.255494	+	0.181189i	0.0185844	+	0.0131795i
$190$	9.71910	−	9.71910i	0.705098	−	0.705098i
$191$	10.0896			0.730055			0.365028	−	0.930997i	$-0.381060\pi$
$191$	10.0896			0.730055			0.365028	+	0.930997i	$0.381060\pi$
$192$	0.233162			0.0168271
$193$	−10.6252	+	10.6252i	−0.764822	+	0.764822i	−0.977190	−	0.212368i	$-0.931883\pi$
$193$	−10.6252	+	10.6252i	−0.764822	+	0.764822i	0.212368	+	0.977190i	$0.431883\pi$
$194$	14.0583	−	24.3498i	1.00933	−	1.74821i
$195$	−0.0590992	−	0.0795125i	−0.00423218	−	0.00569401i
$196$	−3.36128	+	17.8124i	−0.240091	+	1.27232i
$197$	−8.74176	+	2.34235i	−0.622825	+	0.166885i	−0.556412	−	0.830907i	$-0.687822\pi$
$197$	−8.74176	+	2.34235i	−0.622825	+	0.166885i	−0.0664131	+	0.997792i	$0.521156\pi$
$198$	1.12007	+	1.94002i	0.0796001	+	0.137871i
$199$	−2.86869	+	4.96872i	−0.203356	+	0.352223i	−0.949608	−	0.313441i	$-0.898518\pi$
$199$	−2.86869	+	4.96872i	−0.203356	+	0.352223i	0.746252	+	0.665664i	$0.231852\pi$
$200$	−1.00058	+	3.73420i	−0.0707513	+	0.264048i
$201$	0.140820	−	0.140820i	0.00993269	−	0.00993269i
$202$	0.617337	−	2.30393i	0.0434357	−	0.162104i
$203$	−2.07933	−	4.52977i	−0.145940	−	0.317927i
$204$	−0.0250950	−	0.0434658i	−0.00175700	−	0.00304321i
$205$	−2.70400	+	1.56115i	−0.188855	+	0.109036i
$206$	10.8437	+	10.8437i	0.755515	+	0.755515i
$207$	8.58656	−	4.95745i	0.596807	−	0.344567i
$208$	5.53657	−	6.99099i	0.383892	−	0.484738i
$209$		−	1.60616i		−	0.111100i
$210$	−0.127039	−	0.0900924i	−0.00876654	−	0.00621697i
$211$	−1.22030	+	2.11362i	−0.0840090	+	0.145508i	−0.904969	−	0.425479i	$-0.860106\pi$
$211$	−1.22030	+	2.11362i	−0.0840090	+	0.145508i	0.820959	+	0.570986i	$0.193439\pi$
$212$		−	19.5409i		−	1.34208i
$213$	−0.179086	−	0.0479860i	−0.0122708	−	0.00328795i
$214$	−27.8366	+	7.45880i	−1.90287	+	0.509873i
$215$	7.35657	+	7.35657i	0.501714	+	0.501714i
$216$	0.105726	+	0.105726i	0.00719377	+	0.00719377i
$217$	5.94629	−	4.92915i	0.403660	−	0.334612i
$218$	16.1616	+	9.33088i	1.09460	+	0.631967i
$219$	−0.203337	−	0.0544841i	−0.0137403	−	0.00368169i
$220$	−0.628514	−	1.08862i	−0.0423744	−	0.0733947i
$221$	−3.50372	−	0.515992i	−0.235686	−	0.0347094i
$222$	0.300039	+	0.173227i	0.0201373	+	0.0116263i
$223$	1.13460	+	4.23437i	0.0759782	+	0.283554i	0.993453	−	0.114239i	$-0.0364429\pi$
$223$	1.13460	+	4.23437i	0.0759782	+	0.283554i	−0.917475	+	0.397793i	$0.869776\pi$
$224$	7.19696	−	19.4110i	0.480867	−	1.29695i
$225$	7.95152	−	4.59081i	0.530102	−	0.306054i
$226$	7.03773	−	1.88575i	0.468143	−	0.125439i
$227$	−4.80811	−	17.9441i	−0.319125	−	1.19099i	−0.920087	−	0.391714i	$-0.871882\pi$
$227$	−4.80811	−	17.9441i	−0.319125	−	1.19099i	0.600962	−	0.799278i	$-0.294784\pi$
$228$	−0.0609336	−	0.227407i	−0.00403543	−	0.0150604i
$229$	9.03577	−	2.42113i	0.597100	−	0.159993i	0.0524040	−	0.998626i	$-0.483312\pi$
$229$	9.03577	−	2.42113i	0.597100	−	0.159993i	0.544696	+	0.838633i	$0.316645\pi$
$230$	−8.53954	+	4.93031i	−0.563081	+	0.325095i
$231$	−0.0179413	+	0.00305286i	−0.00118045	+	0.000200864i
$232$	−0.615804	−	2.29821i	−0.0404295	−	0.150885i
$233$	16.7047	+	9.64448i	1.09436	+	0.631831i	0.934735	−	0.355347i	$-0.115637\pi$
$233$	16.7047	+	9.64448i	1.09436	+	0.631831i	0.159628	+	0.987177i	$0.448970\pi$
$234$	23.0152	−	2.67202i	1.50455	−	0.174675i
$235$	7.62551	+	13.2078i	0.497434	+	0.861580i
$236$	−38.1554	−	10.2237i	−2.48371	−	0.665507i
$237$	−0.0304321	−	0.0175700i	−0.00197677	−	0.00114129i
$238$	−5.48849	+	0.933911i	−0.355766	+	0.0605365i
$239$	−0.192645	−	0.192645i	−0.0124612	−	0.0124612i	0.700849	−	0.713310i	$-0.252805\pi$
$239$	−0.192645	−	0.192645i	−0.0124612	−	0.0124612i	−0.713310	+	0.700849i	$0.752805\pi$
$240$	0.0480557	+	0.0480557i	0.00310198	+	0.00310198i
$241$	19.5555	−	5.23989i	1.25968	−	0.337531i	0.433613	−	0.901099i	$-0.357239\pi$
$241$	19.5555	−	5.23989i	1.25968	−	0.337531i	0.826069	+	0.563569i	$0.190572\pi$
$242$	22.5111	+	6.03183i	1.44707	+	0.387741i
$243$		−	0.532679i		−	0.0341714i
$244$	−8.35810	+	14.4767i	−0.535073	+	0.926773i
$245$	−8.05109	+	5.49490i	−0.514365	+	0.351056i
$246$			0.0947854i			0.00604329i
$247$	−15.2487	−	6.59165i	−0.970250	−	0.419417i
$248$	3.19303	−	1.84350i	0.202758	−	0.117062i
$249$	0.164370	+	0.164370i	0.0104165	+	0.0104165i
$250$	−20.8256	+	12.0236i	−1.31712	+	0.760442i
$251$	−0.965416	−	1.67215i	−0.0609365	−	0.105545i	0.833948	−	0.551843i	$-0.186075\pi$
$251$	−0.965416	−	1.67215i	−0.0609365	−	0.105545i	−0.894884	+	0.446298i	$0.852742\pi$
$252$	18.6774	−	8.57360i	1.17656	−	0.540086i
$253$	−0.298227	+	1.11300i	−0.0187494	+	0.0699736i
$254$	7.34812	−	7.34812i	0.461062	−	0.461062i
$255$	0.00698531	−	0.0260695i	0.000437437	−	0.00163254i
$256$	−1.46362	+	2.53506i	−0.0914762	+	0.158441i
$257$	−6.27737	−	10.8727i	−0.391572	−	0.678222i	0.601085	−	0.799185i	$-0.294735\pi$
$257$	−6.27737	−	10.8727i	−0.391572	−	0.678222i	−0.992657	+	0.120963i	$0.961402\pi$
$258$	0.305070	−	0.0817433i	0.0189928	−	0.00508912i
$259$	16.6939	−	13.8383i	1.03731	−	0.859870i
$260$	−12.9147	+	1.49937i	−0.800933	+	0.0929868i
$261$	−2.82542	+	4.89377i	−0.174889	+	0.302917i
$262$	−3.47785	+	3.47785i	−0.214862	+	0.214862i
$263$	11.0820			0.683348			0.341674	−	0.939818i	$-0.389006\pi$
$263$	11.0820			0.683348			0.341674	+	0.939818i	$0.389006\pi$
$264$	−0.00868765			−0.000534688
$265$	7.43024	−	7.43024i	0.456436	−	0.456436i
$266$	−26.0018	−	2.43186i	−1.59427	−	0.149107i
$267$	−0.259161	−	0.0694420i	−0.0158604	−	0.00424978i
$268$	−6.76429	−	25.2447i	−0.413195	−	1.54206i
$269$	−14.2051	−	8.20134i	−0.866102	−	0.500044i	−5.10726e−5	−	1.00000i	$-0.500016\pi$
$269$	−14.2051	−	8.20134i	−0.866102	−	0.500044i	−0.866051	+	0.499956i	$0.833350\pi$
$270$			0.353167i			0.0214931i
$271$	−0.139634	+	0.521120i	−0.00848214	+	0.0316558i	−0.970037	−	0.242956i	$-0.921883\pi$
$271$	−0.139634	+	0.521120i	−0.00848214	+	0.0316558i	0.961555	+	0.274612i	$0.0885495\pi$
$272$	2.42943			0.147306
$273$	−0.0446475	+	0.182862i	−0.00270219	+	0.0110673i
$274$	−40.3680			−2.43872
$275$	−0.276171	+	1.03068i	−0.0166537	+	0.0621526i
$276$			0.168898i			0.0101664i
$277$	−9.08076	−	5.24278i	−0.545610	−	0.315008i	0.201739	−	0.979439i	$-0.435341\pi$
$277$	−9.08076	−	5.24278i	−0.545610	−	0.315008i	−0.747350	+	0.664431i	$0.768674\pi$
$278$	−8.38724	−	31.3016i	−0.503033	−	1.87735i
$279$	−8.45829	−	2.26639i	−0.506385	−	0.135685i
$280$	−4.22885	+	1.94120i	−0.252722	+	0.116009i
$281$	−11.0310	+	11.0310i	−0.658057	+	0.658057i	−0.954920	−	0.296863i	$-0.904059\pi$
$281$	−11.0310	+	11.0310i	−0.658057	+	0.658057i	0.296863	+	0.954920i	$0.404059\pi$
$282$	0.462983			0.0275702
$283$	28.3341			1.68429			0.842144	−	0.539253i	$-0.181293\pi$
$283$	28.3341			1.68429			0.842144	+	0.539253i	$0.181293\pi$
$284$	−17.2048	+	17.2048i	−1.02092	+	1.02092i
$285$	0.0633000	−	0.109639i	0.00374957	−	0.00649444i
$286$	−1.67172	+	2.11088i	−0.0988512	+	0.124819i
$287$	5.56236	+	2.06234i	0.328336	+	0.121736i
$288$	−22.6713	+	6.07476i	−1.33592	+	0.357959i
$289$	8.01760	+	13.8869i	0.471624	+	0.816876i
$290$	2.80995	−	4.86697i	0.165006	−	0.285798i
$291$	0.0670274	−	0.250150i	0.00392922	−	0.0146640i
$292$	−19.5346	+	19.5346i	−1.14318	+	1.14318i
$293$	−5.59897	+	20.8956i	−0.327095	+	1.22074i	0.585094	+	0.810966i	$0.301058\pi$
$293$	−5.59897	+	20.8956i	−0.327095	+	1.22074i	−0.912189	+	0.409770i	$0.865609\pi$
$294$	0.0222575	+	0.295072i	0.00129809	+	0.0172089i
$295$	−10.6208	−	18.3957i	−0.618364	−	1.07104i
$296$	8.96426	−	5.17552i	0.521037	−	0.300821i
$297$	0.0291818	+	0.0291818i	0.00169330	+	0.00169330i
$298$	29.1335	−	16.8202i	1.68766	−	0.974369i
$299$	9.34277	+	7.39907i	0.540306	+	0.427899i
$300$			0.156406i			0.00903012i
$301$	1.84072	−	19.6812i	0.106098	−	1.13441i
$302$	−4.78194	+	8.28256i	−0.275170	+	0.476608i
$303$		−	0.0219694i		−	0.00126211i
$304$	11.0076	+	2.94947i	0.631328	+	0.169164i
$305$	−8.68269	+	2.32652i	−0.497169	+	0.133216i
$306$	4.46325	+	4.46325i	0.255147	+	0.255147i
$307$	7.12305	+	7.12305i	0.406534	+	0.406534i	0.880528	−	0.473994i	$-0.157188\pi$
$307$	7.12305	+	7.12305i	0.406534	+	0.406534i	−0.473994	+	0.880528i	$0.657188\pi$
$308$	−0.830291	+	2.23939i	−0.0473102	+	0.127601i
$309$	0.122325	+	0.0706243i	0.00695882	+	0.00401767i
$310$	8.41197	+	2.25398i	0.477768	+	0.128018i
$311$	−8.27116	−	14.3261i	−0.469015	−	0.812357i	0.530358	−	0.847774i	$-0.322058\pi$
$311$	−8.27116	−	14.3261i	−0.469015	−	0.812357i	−0.999373	+	0.0354166i	$0.988724\pi$
$312$	−0.0356540	+	0.0824796i	−0.00201851	+	0.00466949i
$313$	29.9497	+	17.2915i	1.69286	+	0.977372i	0.952193	+	0.305496i	$0.0988223\pi$
$313$	29.9497	+	17.2915i	1.69286	+	0.977372i	0.740664	+	0.671876i	$0.234511\pi$
$314$	2.41631	+	9.01780i	0.136360	+	0.508904i
$315$	10.3619	+	3.84186i	0.583828	+	0.216464i
$316$	−3.99372	+	2.30577i	−0.224664	+	0.129710i
$317$	−11.9384	+	3.19887i	−0.670525	+	0.179667i	−0.577991	−	0.816043i	$-0.696163\pi$
$317$	−11.9384	+	3.19887i	−0.670525	+	0.179667i	−0.0925337	+	0.995710i	$0.529497\pi$
$318$	−0.0825620	−	0.308125i	−0.00462985	−	0.0172788i
$319$	−0.169969	−	0.634334i	−0.00951646	−	0.0355159i
$320$	15.8936	−	4.25867i	0.888477	−	0.238067i
$321$	−0.229877	+	0.132720i	−0.0128305	+	0.00740769i
$322$	17.5666	+	6.51313i	0.978948	+	0.362962i
$323$	−1.17132	−	4.37141i	−0.0651738	−	0.243232i
$324$	−20.1756	−	11.6484i	−1.12087	−	0.647133i
$325$	8.65180	+	6.85186i	0.479916	+	0.380073i
$326$	16.6987	+	28.9231i	0.924857	+	1.60190i
$327$	0.166031	+	0.0444878i	0.00918152	+	0.00246018i
$328$	2.45250	+	1.41595i	0.135417	+	0.0781829i
$329$	10.0736	−	27.1696i	0.555375	−	1.49791i
$330$	−0.0145100	−	0.0145100i	−0.000798752	−	0.000798752i
$331$	−13.9891	−	13.9891i	−0.768910	−	0.768910i	0.209005	−	0.977915i	$-0.432978\pi$
$331$	−13.9891	−	13.9891i	−0.768910	−	0.768910i	−0.977915	+	0.209005i	$0.932978\pi$
$332$	29.4665	−	7.89551i	1.61718	−	0.433323i
$333$	−23.7462	−	6.36277i	−1.30128	−	0.348678i
$334$		−	28.0038i		−	1.53230i
$335$	7.02698	−	12.1711i	0.383925	−	0.664978i
$336$	0.0120242	−	0.128565i	0.000655976	−	0.00701378i
$337$		−	6.72576i		−	0.366376i	−0.983078	−	0.183188i	$-0.941358\pi$
$337$		−	6.72576i		−	0.366376i	0.983078	−	0.183188i	$-0.0586416\pi$
$338$	13.1797	+	24.5342i	0.716882	+	1.33449i
$339$	0.0581181	−	0.0335545i	0.00315654	−	0.00182243i
$340$	−2.50450	−	2.50450i	−0.135825	−	0.135825i
$341$	0.881315	−	0.508828i	0.0477259	−	0.0275546i
$342$	14.8040	+	25.6414i	0.800511	+	1.38653i
$343$	17.8002	+	5.11402i	0.961120	+	0.276131i
$344$	2.44225	−	9.11459i	0.131677	−	0.491426i
$345$	−0.0642216	+	0.0642216i	−0.00345758	+	0.00345758i
$346$	−2.47014	+	9.21869i	−0.132796	+	0.495600i
$347$	6.64954	−	11.5173i	0.356966	−	0.618284i	−0.630486	−	0.776200i	$-0.717144\pi$
$347$	6.64954	−	11.5173i	0.356966	−	0.618284i	0.987452	+	0.157917i	$0.0504778\pi$
$348$	−0.0481302	−	0.0833639i	−0.00258005	−	0.00446877i
$349$	−1.99671	+	0.535016i	−0.106881	+	0.0286387i	−0.311863	−	0.950127i	$-0.600953\pi$
$349$	−1.99671	+	0.535016i	−0.106881	+	0.0286387i	0.204982	+	0.978766i	$0.434286\pi$
$350$	16.2674	+	6.03143i	0.869530	+	0.322394i
$351$	0.396810	−	0.157287i	0.0211802	−	0.00839536i
$352$	1.36384	−	2.36225i	0.0726931	−	0.125908i
$353$	−9.06371	+	9.06371i	−0.482413	+	0.482413i	−0.905901	−	0.423489i	$-0.860805\pi$
$353$	−9.06371	+	9.06371i	−0.482413	+	0.482413i	0.423489	+	0.905901i	$0.360805\pi$
$354$	−0.644839			−0.0342728
$355$	−13.0839			−0.694422
$356$	−24.8976	+	24.8976i	−1.31957	+	1.31957i
$357$	−0.0466039	+	0.0213929i	−0.00246654	+	0.00113223i
$358$	−24.9239	−	6.67834i	−1.31727	−	0.352961i
$359$	−0.737290	−	2.75160i	−0.0389127	−	0.145224i	0.943736	−	0.330699i	$-0.107284\pi$
$359$	−0.737290	−	2.75160i	−0.0389127	−	0.145224i	−0.982649	+	0.185475i	$0.940618\pi$
$360$	4.56867	+	2.63772i	0.240790	+	0.139020i
$361$		−	2.22863i		−	0.117296i
$362$	−13.0078	+	48.5456i	−0.683673	+	2.55150i
$363$	0.214657			0.0112666
$364$	17.8530	+	17.0731i	0.935751	+	0.894875i
$365$	−14.8557			−0.777582
$366$	−0.0706273	+	0.263585i	−0.00369175	+	0.0137778i
$367$		−	6.37311i		−	0.332674i	−0.986069	−	0.166337i	$-0.946806\pi$
$367$		−	6.37311i		−	0.332674i	0.986069	−	0.166337i	$-0.0531939\pi$
$368$	−7.08014	−	4.08772i	−0.369078	−	0.213087i
$369$	−1.74077	−	6.49664i	−0.0906208	−	0.338201i
$370$	23.6161	+	6.32793i	1.22775	+	0.328973i
$371$	−19.8783	−	1.85916i	−1.03203	−	0.0965227i
$372$	0.105477	−	0.105477i	0.00546874	−	0.00546874i
$373$	1.04416			0.0540645			0.0270323	−	0.999635i	$-0.491394\pi$
$373$	1.04416			0.0540645			0.0270323	+	0.999635i	$0.491394\pi$
$374$	−0.733548			−0.0379309
$375$	−0.156618	+	0.156618i	−0.00808774	+	0.00808774i
$376$	6.91627	−	11.9793i	0.356679	−	0.617787i
$377$	−6.71986	−	0.989632i	−0.346090	−	0.0509686i
$378$	0.516603	−	0.428235i	0.0265712	−	0.0220260i
$379$	14.6260	−	3.91904i	0.751289	−	0.201307i	0.137199	−	0.990543i	$-0.456190\pi$
$379$	14.6260	−	3.91904i	0.751289	−	0.201307i	0.614090	+	0.789236i	$0.289523\pi$
$380$	−8.30710	−	14.3883i	−0.426145	−	0.738105i
$381$	0.0478578	−	0.0828922i	0.00245183	−	0.00424670i
$382$	5.59440	−	20.8786i	0.286234	−	1.06824i
$383$	7.06231	−	7.06231i	0.360867	−	0.360867i	−0.503265	−	0.864132i	$-0.667868\pi$
$383$	7.06231	−	7.06231i	0.360867	−	0.360867i	0.864132	+	0.503265i	$0.167868\pi$
$384$	0.0493596	−	0.184213i	0.00251887	−	0.00940056i
$385$	−1.16721	+	0.535794i	−0.0594867	+	0.0273066i
$386$	16.0957	+	27.8785i	0.819247	+	1.41898i
$387$	−19.4084	+	11.2055i	−0.986586	+	0.569605i
$388$	−24.0319	−	24.0319i	−1.22003	−	1.22003i
$389$	−15.4988	+	8.94824i	−0.785821	+	0.453694i	−0.838489	−	0.544918i	$-0.816561\pi$
$389$	−15.4988	+	8.94824i	−0.785821	+	0.453694i	0.0526685	+	0.998612i	$0.483227\pi$
$390$	−0.197306	+	0.0782078i	−0.00999098	+	0.00396020i
$391$			3.24669i			0.164192i
$392$	7.96725	+	3.83203i	0.402407	+	0.193547i
$393$	−0.0226510	+	0.0392327i	−0.00114259	+	0.00197903i
$394$			19.3883i			0.976768i
$395$	−2.39532	−	0.641824i	−0.120522	−	0.0322937i
$396$	2.61552	−	0.700827i	0.131435	−	0.0352179i
$397$	6.19662	+	6.19662i	0.311000	+	0.311000i	0.845297	−	0.534297i	$-0.179424\pi$
$397$	6.19662	+	6.19662i	0.311000	+	0.311000i	−0.534297	+	0.845297i	$0.679424\pi$
$398$	8.69128	+	8.69128i	0.435654	+	0.435654i
$399$	−0.237131	+	0.0403498i	−0.0118714	+	0.00202002i
$400$	−6.55651	−	3.78540i	−0.327825	−	0.189270i
$401$	16.2843	+	4.36338i	0.813202	+	0.217897i	0.641372	−	0.767230i	$-0.278366\pi$
$401$	16.2843	+	4.36338i	0.813202	+	0.217897i	0.171829	+	0.985127i	$0.445032\pi$
$402$	−0.213321	−	0.369484i	−0.0106395	−	0.0184282i
$403$	−1.21385	−	10.4553i	−0.0604660	−	0.520818i
$404$	−2.49686	−	1.44157i	−0.124224	−	0.0717206i
$405$	−3.24239	−	12.1008i	−0.161116	−	0.601292i
$406$	−10.5265	+	1.79117i	−0.522421	+	0.0888942i
$407$	2.47424	−	1.42850i	0.122644	−	0.0708084i
$408$	−0.0236448	+	0.00633561i	−0.00117059	+	0.000313660i
$409$	7.59890	+	28.3595i	0.375741	+	1.40229i	0.852259	+	0.523121i	$0.175232\pi$
$409$	7.59890	+	28.3595i	0.375741	+	1.40229i	−0.476517	+	0.879165i	$0.658101\pi$
$410$	1.73124	+	6.46106i	0.0854997	+	0.319089i
$411$	−0.359148	+	0.0962334i	−0.0177155	+	0.00474684i
$412$	16.0532	−	9.26830i	0.790883	−	0.456616i
$413$	−14.0304	+	37.8416i	−0.690392	+	1.86206i
$414$	−5.49755	−	20.5172i	−0.270190	−	1.00836i
$415$	14.2065	+	8.20213i	0.697370	+	0.402627i
$416$	−16.8297	−	22.6428i	−0.825145	−	1.11016i
$417$	−0.149240	−	0.258491i	−0.00730831	−	0.0126584i
$418$	−3.32366	−	0.890571i	−0.162565	−	0.0435593i
$419$	−1.94150	−	1.12093i	−0.0948486	−	0.0547609i	0.451825	−	0.892106i	$-0.350773\pi$
$419$	−1.94150	−	1.12093i	−0.0948486	−	0.0547609i	−0.546674	+	0.837345i	$0.684106\pi$
$420$	−0.144933	+	0.120141i	−0.00707201	+	0.00586230i
$421$	5.33907	+	5.33907i	0.260210	+	0.260210i	0.825139	−	0.564929i	$-0.191096\pi$
$421$	5.33907	+	5.33907i	0.260210	+	0.260210i	−0.564929	+	0.825139i	$0.691096\pi$
$422$	3.69715	+	3.69715i	0.179974	+	0.179974i
$423$	−31.7331	+	8.50285i	−1.54291	+	0.413423i
$424$	−9.20587	−	2.46671i	−0.447077	−	0.119794i
$425$			3.00657i			0.145840i
$426$	−0.198597	+	0.343981i	−0.00962207	+	0.0166659i
$427$	13.9314	+	9.87976i	0.674189	+	0.478115i
$428$			34.8346i			1.68380i
$429$	−0.00984095	+	0.0227654i	−0.000475125	+	0.00109912i
$430$	19.3021	−	11.1441i	0.930832	−	0.537416i
$431$	−6.13749	−	6.13749i	−0.295632	−	0.295632i	0.543668	−	0.839300i	$-0.317035\pi$
$431$	−6.13749	−	6.13749i	−0.295632	−	0.295632i	−0.839300	+	0.543668i	$0.817035\pi$
$432$	−0.253582	+	0.146405i	−0.0122004	+	0.00704393i
$433$	−12.7738	−	22.1248i	−0.613869	−	1.06325i	−0.990582	−	0.136922i	$-0.956279\pi$
$433$	−12.7738	−	22.1248i	−0.613869	−	1.06325i	0.376713	−	0.926330i	$-0.377054\pi$
$434$	−6.90294	−	15.0379i	−0.331352	−	0.721841i
$435$	0.0133973	−	0.0499993i	0.000642350	−	0.00239728i
$436$	15.9506	−	15.9506i	0.763893	−	0.763893i
$437$	−3.94168	+	14.7105i	−0.188556	+	0.703700i
$438$	−0.225491	+	0.390561i	−0.0107744	+	0.0186617i
$439$	−17.2316	−	29.8460i	−0.822421	−	1.42447i	−0.903875	−	0.427797i	$-0.859290\pi$
$439$	−17.2316	−	29.8460i	−0.822421	−	1.42447i	0.0814542	−	0.996677i	$-0.474044\pi$
$440$	−0.592195	+	0.158678i	−0.0282318	+	0.00756469i
$441$	−6.94464	−	19.8156i	−0.330697	−	0.943599i
$442$	−3.01048	+	6.96423i	−0.143194	+	0.331255i
$443$	17.8457	−	30.9097i	0.847876	−	1.46857i	−0.0352231	−	0.999379i	$-0.511214\pi$
$443$	17.8457	−	30.9097i	0.847876	−	1.46857i	0.883100	−	0.469186i	$-0.155452\pi$
$444$	0.296121	−	0.296121i	0.0140533	−	0.0140533i
$445$	−18.9341			−0.897563
$446$	9.39139			0.444695
$447$	0.219098	−	0.219098i	0.0103630	−	0.0103630i
$448$	−25.5013	−	18.0848i	−1.20482	−	0.854426i
$449$	5.75740	+	1.54269i	0.271709	+	0.0728041i	0.392101	−	0.919922i	$-0.371748\pi$
$449$	5.75740	+	1.54269i	0.271709	+	0.0728041i	−0.120392	+	0.992726i	$0.538415\pi$
$450$	−5.09097	−	18.9998i	−0.239991	−	0.895657i
$451$	0.676920	+	0.390820i	0.0318749	+	0.0184030i
$452$		−	8.80698i		−	0.414246i
$453$	−0.0227993	+	0.0850883i	−0.00107121	+	0.00399780i
$454$	−39.7981			−1.86782
$455$	0.296535	+	13.2803i	0.0139018	+	0.622590i
$456$	−0.114825			−0.00537717
$457$	7.07285	−	26.3962i	0.330854	−	1.23476i	−0.577441	−	0.816433i	$-0.695949\pi$
$457$	7.07285	−	26.3962i	0.330854	−	1.23476i	0.908295	−	0.418331i	$-0.137385\pi$
$458$		−	20.0404i		−	0.936425i
$459$	0.100704	+	0.0581416i	0.00470047	+	0.00271382i
$460$	3.08488	+	11.5129i	0.143833	+	0.536793i
$461$	25.4470	+	6.81851i	1.18519	+	0.317570i	0.796982	−	0.604004i	$-0.206429\pi$
$461$	25.4470	+	6.81851i	1.18519	+	0.317570i	0.388205	+	0.921573i	$0.373095\pi$
$462$	−0.00363063	+	0.0388191i	−0.000168912	+	0.00180603i
$463$	20.1763	−	20.1763i	0.937671	−	0.937671i	−0.0604970	−	0.998168i	$-0.519269\pi$
$463$	20.1763	−	20.1763i	0.937671	−	0.937671i	0.998168	+	0.0604970i	$0.0192686\pi$
$464$	4.65945			0.216310
$465$	0.0802133			0.00371980
$466$	29.2199	−	29.2199i	1.35358	−	1.35358i
$467$	−11.1697	+	19.3465i	−0.516873	+	0.895251i	0.482935	+	0.875656i	$0.339571\pi$
$467$	−11.1697	+	19.3465i	−0.516873	+	0.895251i	−0.999808	+	0.0195946i	$0.993762\pi$
$468$	4.08050	−	27.7077i	0.188621	−	1.28079i
$469$	−26.3241	+	4.47927i	−1.21554	+	0.206833i
$470$	31.5593	−	8.45629i	1.45572	−	0.390060i
$471$	0.0429951	+	0.0744697i	0.00198111	+	0.00343138i
$472$	−9.63293	+	16.6847i	−0.443392	+	0.767977i
$473$	0.674090	−	2.51574i	0.0309947	−	0.115674i
$474$	−0.0532317	+	0.0532317i	−0.00244501	+	0.00244501i
$475$	−3.65016	+	13.6226i	−0.167481	+	0.625047i
$476$	−0.626662	+	6.70035i	−0.0287230	+	0.307110i
$477$	11.3177	+	19.6028i	0.518201	+	0.897550i
$478$	−0.505462	+	0.291829i	−0.0231193	+	0.0133479i
$479$	10.8857	+	10.8857i	0.497378	+	0.497378i	0.910621	−	0.413243i	$-0.135604\pi$
$479$	10.8857	+	10.8857i	0.497378	+	0.497378i	−0.413243	+	0.910621i	$0.635604\pi$
$480$	0.186196	−	0.107500i	0.00849866	−	0.00490670i
$481$	−3.40780	−	29.3528i	−0.155382	−	1.33837i
$482$		−	43.3721i		−	1.97554i
$483$	0.171814	+	0.0160692i	0.00781780	+	0.000731174i
$484$	14.0851	−	24.3962i	0.640233	−	1.10892i
$485$		−	18.2757i		−	0.829859i
$486$	−1.10228	−	0.295356i	−0.0500006	−	0.0133976i
$487$	17.4978	−	4.68852i	0.792901	−	0.212457i	0.160436	−	0.987046i	$-0.448710\pi$
$487$	17.4978	−	4.68852i	0.792901	−	0.212457i	0.632465	+	0.774589i	$0.282043\pi$
$488$	5.76499	+	5.76499i	0.260969	+	0.260969i
$489$	0.217516	+	0.217516i	0.00983640	+	0.00983640i
$490$	6.90662	+	19.7071i	0.312009	+	0.890275i
$491$	17.3469	+	10.0153i	0.782857	+	0.451983i	0.837442	−	0.546527i	$-0.184050\pi$
$491$	17.3469	+	10.0153i	0.782857	+	0.451983i	−0.0545850	+	0.998509i	$0.517384\pi$
$492$	0.110668	+	0.0296535i	0.00498931	+	0.00133688i
$493$	−0.925198	−	1.60249i	−0.0416688	−	0.0721725i
$494$	−22.0953	+	27.8996i	−0.994113	+	1.25526i
$495$	1.26101	+	0.728043i	0.0566781	+	0.0327231i
$496$	1.86878	+	6.97437i	0.0839105	+	0.313158i
$497$	15.8650	+	19.1388i	0.711642	+	0.858491i
$498$	0.431274	−	0.248996i	0.0193258	−	0.0111578i
$499$	−7.60769	+	2.03847i	−0.340567	+	0.0912546i	−0.425049	−	0.905170i	$-0.639743\pi$
$499$	−7.60769	+	2.03847i	−0.340567	+	0.0912546i	0.0844820	+	0.996425i	$0.473076\pi$
$500$	7.52316	+	28.0768i	0.336446	+	1.25563i
$501$	−0.0667583	−	0.249145i	−0.00298254	−	0.0111310i
$502$	−3.99552	+	1.07060i	−0.178329	+	0.0477830i
$503$	−36.6569	+	21.1639i	−1.63445	+	0.943650i	−0.651752	+	0.758432i	$0.725966\pi$
$503$	−36.6569	+	21.1639i	−1.63445	+	0.943650i	−0.982698	+	0.185217i	$0.940701\pi$
$504$	−1.68139	−	9.88131i	−0.0748949	−	0.440149i
$505$	−0.401267	−	1.49755i	−0.0178561	−	0.0666400i
$506$	2.13779	+	1.23426i	0.0950365	+	0.0548694i
$507$	0.175745	+	0.186858i	0.00780511	+	0.00829865i
$508$	−6.28057	−	10.8783i	−0.278655	−	0.482645i
$509$	36.4366	+	9.76315i	1.61502	+	0.432744i	0.949534	−	0.313664i	$-0.101557\pi$
$509$	36.4366	+	9.76315i	1.61502	+	0.432744i	0.665489	+	0.746408i	$0.268223\pi$
$510$	−0.0500731	−	0.0289097i	−0.00221728	−	0.00128014i
$511$	18.0134	+	21.7305i	0.796864	+	0.961299i
$512$	18.1026	+	18.1026i	0.800029	+	0.800029i
$513$	0.385697	+	0.385697i	0.0170289	+	0.0170289i
$514$	−25.9798	+	6.96127i	−1.14592	+	0.307049i
$515$	9.62823	+	2.57988i	0.424271	+	0.113683i
$516$		−	0.381763i		−	0.0168062i
$517$	1.90897	−	3.30644i	0.0839566	−	0.145417i
$518$	−19.3796	−	42.2180i	−0.851491	−	1.85495i
$519$			0.0879058i			0.00385864i
$520$	−0.923890	+	6.27345i	−0.0405153	+	0.275109i
$521$	−22.8432	+	13.1885i	−1.00078	+	0.577800i	−0.908479	−	0.417931i	$-0.862755\pi$
$521$	−22.8432	+	13.1885i	−1.00078	+	0.577800i	−0.0923008	+	0.995731i	$0.529422\pi$
$522$	8.56017	+	8.56017i	0.374668	+	0.374668i
$523$	−12.9298	+	7.46503i	−0.565381	+	0.326423i	−0.755302	−	0.655376i	$-0.772510\pi$
$523$	−12.9298	+	7.46503i	−0.565381	+	0.326423i	0.189921	+	0.981799i	$0.439177\pi$
$524$	2.97258	+	5.14866i	0.129858	+	0.224920i
$525$	0.159107	+	0.0148808i	0.00694400	+	0.000649450i
$526$	6.14470	−	22.9323i	0.267922	−	0.999898i
$527$	2.02757	−	2.02757i	0.0883224	−	0.0883224i
$528$	0.00440339	−	0.0164337i	0.000191633	−	0.000715184i
$529$	−6.03717	+	10.4567i	−0.262486	+	0.454639i
$530$	−11.2557	−	19.4955i	−0.488917	−	0.846828i
$531$	44.1976	−	11.8427i	1.91801	−	0.513930i
$532$	−10.9740	+	29.5981i	−0.475783	+	1.28324i
$533$	6.48848	−	4.82269i	0.281047	−	0.208894i
$534$	−0.287396	+	0.497784i	−0.0124368	+	0.0215412i
$535$	−13.2455	+	13.2455i	−0.572654	+	0.572654i
$536$	−12.7468			−0.550579
$537$	−0.237665			−0.0102560
$538$	−24.8476	+	24.8476i	−1.07126	+	1.07126i
$539$	2.19906	+	1.05769i	0.0947201	+	0.0455578i
$540$	0.412346	+	0.110488i	0.0177446	+	0.00475464i
$541$	4.78723	+	17.8662i	0.205819	+	0.768127i	0.989198	+	0.146583i	$0.0468276\pi$
$541$	4.78723	+	17.8662i	0.205819	+	0.768127i	−0.783379	+	0.621544i	$0.786506\pi$
$542$	1.00094	+	0.577895i	0.0429942	+	0.0248227i
$543$			0.462912i			0.0198654i
$544$	1.98921	−	7.42384i	0.0852868	−	0.318295i
$545$	12.1301			0.519596
$546$	0.353645	+	0.193782i	0.0151346	+	0.00829312i
$547$	−12.6324			−0.540123			−0.270062	−	0.962843i	$-0.587044\pi$
$547$	−12.6324			−0.540123			−0.270062	+	0.962843i	$0.587044\pi$
$548$	−12.6291	+	47.1324i	−0.539488	+	2.01340i
$549$		−	19.3633i		−	0.826406i
$550$	1.97969	+	1.14297i	0.0844142	+	0.0487366i
$551$	−2.24649	−	8.38402i	−0.0957038	−	0.357171i
$552$	0.0795688	+	0.0213204i	0.00338667	+	0.000907457i
$553$	1.96562	+	4.28205i	0.0835866	+	0.182091i
$554$	−15.8841	+	15.8841i	−0.674849	+	0.674849i
$555$	0.225194			0.00955897
$556$	−39.1707			−1.66121
$557$	−0.432418	+	0.432418i	−0.0183221	+	0.0183221i	−0.716209	−	0.697886i	$-0.754124\pi$
$557$	−0.432418	+	0.432418i	−0.0183221	+	0.0183221i	0.697886	+	0.716209i	$0.254124\pi$
$558$	−9.37980	+	16.2463i	−0.397078	+	0.687760i
$559$	−21.1177	−	16.7243i	−0.893183	−	0.707363i
$560$	−1.52858	−	8.98326i	−0.0645941	−	0.379612i
$561$	−0.00652626	+	0.00174871i	−0.000275539	+	7.38304e-5i
$562$	16.7104	+	28.9432i	0.704885	+	1.22090i
$563$	−5.41124	+	9.37254i	−0.228057	+	0.395006i	−0.957232	−	0.289321i	$-0.906570\pi$
$563$	−5.41124	+	9.37254i	−0.228057	+	0.395006i	0.729176	+	0.684327i	$0.239904\pi$
$564$	0.144844	−	0.540563i	0.00609901	−	0.0227618i
$565$	3.34877	−	3.34877i	0.140884	−	0.140884i
$566$	15.7105	−	58.6324i	0.660362	−	2.46450i
$567$	−13.7691	+	19.4157i	−0.578247	+	0.815385i
$568$	5.93349	+	10.2771i	0.248964	+	0.431218i
$569$	−25.1877	+	14.5421i	−1.05592	+	0.609637i	−0.924302	−	0.381663i	$-0.875352\pi$
$569$	−25.1877	+	14.5421i	−1.05592	+	0.609637i	−0.131621	+	0.991300i	$0.542018\pi$
$570$	−0.191780	−	0.191780i	−0.00803277	−	0.00803277i
$571$	−11.7038	+	6.75719i	−0.489788	+	0.282779i	−0.724487	−	0.689289i	$-0.757923\pi$
$571$	−11.7038	+	6.75719i	−0.489788	+	0.282779i	0.234698	+	0.972068i	$0.424590\pi$
$572$	1.94160	+	2.61224i	0.0811822	+	0.109223i
$573$		−	0.199090i		−	0.00831710i
$574$	7.35184	−	10.3668i	0.306860	−	0.432702i
$575$	5.05881	−	8.76212i	0.210967	−	0.365406i
$576$			35.4443i			1.47685i
$577$	10.5697	+	2.83216i	0.440024	+	0.117904i	0.472028	−	0.881584i	$-0.343522\pi$
$577$	10.5697	+	2.83216i	0.440024	+	0.117904i	−0.0320036	+	0.999488i	$0.510189\pi$
$578$	33.1820	−	8.89110i	1.38019	−	0.369821i
$579$	0.209660	+	0.209660i	0.00871318	+	0.00871318i
$580$	−4.80343	−	4.80343i	−0.199451	−	0.199451i
$581$	−5.22836	−	30.7264i	−0.216909	−	1.27475i
$582$	−0.480476	−	0.277403i	−0.0199164	−	0.0114987i
$583$	−2.54093	−	0.680841i	−0.105235	−	0.0281975i
$584$	6.73698	+	11.6688i	0.278778	+	0.482858i
$585$	12.0871	−	8.98400i	0.499742	−	0.371443i
$586$	40.1353	+	23.1721i	1.65798	+	0.957232i
$587$	7.06382	+	26.3625i	0.291555	+	1.08810i	0.943915	+	0.330188i	$0.107112\pi$
$587$	7.06382	+	26.3625i	0.291555	+	1.08810i	−0.652360	+	0.757909i	$0.726221\pi$
$588$	0.351479	+	0.0663256i	0.0144948	+	0.00273522i
$589$	11.6484	−	6.72519i	0.479963	−	0.277107i
$590$	−43.9556	+	11.7779i	−1.80962	+	0.484887i
$591$	0.0462198	+	0.172495i	0.00190123	+	0.00709548i
$592$	5.24649	+	19.5801i	0.215629	+	0.804739i
$593$	−8.56816	+	2.29583i	−0.351852	+	0.0942785i	−0.430416	−	0.902631i	$-0.641633\pi$
$593$	−8.56816	+	2.29583i	−0.351852	+	0.0942785i	0.0785641	+	0.996909i	$0.474966\pi$
$594$	0.0765670	−	0.0442060i	0.00314158	−	0.00181379i
$595$	−2.78602	+	2.30946i	−0.114216	+	0.0946786i
$596$	−10.5244	−	39.2775i	−0.431095	−	1.60887i
$597$	0.0980441	+	0.0566058i	0.00401268	+	0.00231672i
$598$	20.4914	−	15.2306i	0.837955	−	0.622826i
$599$	−10.0430	−	17.3949i	−0.410344	−	0.710737i	0.584583	−	0.811334i	$-0.301258\pi$
$599$	−10.0430	−	17.3949i	−0.410344	−	0.710737i	−0.994927	+	0.100597i	$0.967925\pi$
$600$	0.0736841	+	0.0197436i	0.00300814	+	0.000806029i
$601$	10.0979	+	5.83002i	0.411902	+	0.237811i	0.691606	−	0.722275i	$-0.256903\pi$
$601$	10.0979	+	5.83002i	0.411902	+	0.237811i	−0.279705	+	0.960086i	$0.590237\pi$
$602$	−39.7062	−	14.7218i	−1.61831	−	0.600015i
$603$	21.4069	+	21.4069i	0.871755	+	0.871755i
$604$	8.17442	+	8.17442i	0.332612	+	0.332612i
$605$	14.6321	−	3.92067i	0.594881	−	0.159398i
$606$	−0.0454618	−	0.0121815i	−0.00184676	−	0.000494838i
$607$			42.4232i			1.72190i	0.508687	+	0.860952i	$0.330131\pi$
$607$			42.4232i			1.72190i	−0.508687	+	0.860952i	$0.669869\pi$
$608$	18.0260	−	31.2219i	0.731050	−	1.26622i
$609$	−0.0893825	+	0.0410298i	−0.00362196	+	0.00166261i
$610$			19.2573i			0.779705i
$611$	−23.5566	−	31.6932i	−0.952998	−	1.28217i
$612$	6.60747	−	3.81483i	0.267091	−	0.154205i
$613$	12.4443	+	12.4443i	0.502622	+	0.502622i	0.912252	−	0.409630i	$-0.134342\pi$
$613$	12.4443	+	12.4443i	0.502622	+	0.502622i	−0.409630	+	0.912252i	$0.634342\pi$
$614$	18.6894	−	10.7904i	0.754244	−	0.435463i
$615$	0.0308051	+	0.0533560i	0.00124218	+	0.00215152i
$616$	0.950180	+	0.673840i	0.0382839	+	0.0271498i
$617$	2.26503	−	8.45319i	0.0911865	−	0.340313i	−0.905227	−	0.424928i	$-0.860299\pi$
$617$	2.26503	−	8.45319i	0.0911865	−	0.340313i	0.996414	+	0.0846152i	$0.0269661\pi$
$618$	0.213970	−	0.213970i	0.00860715	−	0.00860715i
$619$	−1.58013	+	5.89711i	−0.0635107	+	0.237025i	−0.990383	−	0.138351i	$-0.955820\pi$
$619$	−1.58013	+	5.89711i	−0.0635107	+	0.237025i	0.926873	+	0.375376i	$0.122486\pi$
$620$	5.26335	−	9.11639i	0.211381	−	0.366123i
$621$	−0.195656	−	0.338886i	−0.00785141	−	0.0135990i
$622$	−34.2314	+	9.17228i	−1.37256	+	0.367775i
$623$	22.9587	+	27.6963i	0.919820	+	1.10963i
$624$	−0.137948	−	0.109249i	−0.00552234	−	0.00437346i
$625$	−0.162973	+	0.282278i	−0.00651893	+	0.0112911i
$626$	52.3880	−	52.3880i	2.09384	−	2.09384i
$627$	−0.0316931			−0.00126570
$628$	11.2848			0.450313
$629$	5.69229	−	5.69229i	0.226966	−	0.226966i
$630$	13.6955	−	19.3119i	0.545640	−	0.769406i
$631$	−12.1554	−	3.25704i	−0.483900	−	0.129661i	0.00861795	−	0.999963i	$-0.497257\pi$
$631$	−12.1554	−	3.25704i	−0.483900	−	0.129661i	−0.492518	+	0.870302i	$0.663923\pi$
$632$	0.582128	+	2.17253i	0.0231558	+	0.0864187i
$633$	0.0417066	+	0.0240793i	0.00165769	+	0.000957066i
$634$			26.4780i			1.05158i
$635$	1.74823	−	6.52448i	0.0693763	−	0.258916i
$636$	−0.385587			−0.0152895
$637$	19.0665	−	16.5369i	0.755442	−	0.655216i
$638$	−1.40689			−0.0556992
$639$	7.29463	−	27.2239i	0.288571	−	1.07696i
$640$		−	13.4584i		−	0.531991i
$641$	5.87712	+	3.39316i	0.232132	+	0.134022i	0.611555	−	0.791202i	$-0.290544\pi$
$641$	5.87712	+	3.39316i	0.232132	+	0.134022i	−0.379423	+	0.925223i	$0.623878\pi$
$642$	0.147179	+	0.549280i	0.00580869	+	0.0216783i
$643$	−16.9779	−	4.54920i	−0.669541	−	0.179403i	−0.0919931	−	0.995760i	$-0.529324\pi$
$643$	−16.9779	−	4.54920i	−0.669541	−	0.179403i	−0.577548	+	0.816357i	$0.695990\pi$
$644$	13.1002	−	18.4726i	0.516220	−	0.727921i
$645$	0.145162	−	0.145162i	0.00571574	−	0.00571574i
$646$	−9.69533			−0.381458
$647$	18.2485			0.717422			0.358711	−	0.933449i	$-0.383216\pi$
$647$	18.2485			0.717422			0.358711	+	0.933449i	$0.383216\pi$
$648$	−8.03447	+	8.03447i	−0.315624	+	0.315624i
$649$	−2.65881	+	4.60519i	−0.104367	+	0.180769i
$650$	18.9759	−	14.1042i	0.744296	−	0.553212i
$651$	−0.0972632	−	0.117334i	−0.00381204	−	0.00459867i
$652$	38.9938	−	10.4484i	1.52711	−	0.409189i
$653$	13.4119	+	23.2301i	0.524849	+	0.909065i	0.999581	+	0.0289349i	$0.00921154\pi$
$653$	13.4119	+	23.2301i	0.524849	+	0.909065i	−0.474732	+	0.880130i	$0.657455\pi$
$654$	0.184119	−	0.318904i	0.00719964	−	0.0124701i
$655$	−0.827433	+	3.08802i	−0.0323305	+	0.120659i
$656$	−3.92150	+	3.92150i	−0.153109	+	0.153109i
$657$	8.28243	−	30.9105i	0.323129	−	1.20593i
$658$	−50.6371	−	35.9103i	−1.97404	−	1.39993i
$659$	−8.29277	−	14.3635i	−0.323040	−	0.559522i	0.658073	−	0.752954i	$-0.271372\pi$
$659$	−8.29277	−	14.3635i	−0.323040	−	0.559522i	−0.981114	+	0.193431i	$0.938038\pi$
$660$	−0.0214809	+	0.0124020i	−0.000836143	+	0.000482747i
$661$	−5.96069	−	5.96069i	−0.231844	−	0.231844i	0.581618	−	0.813462i	$-0.302420\pi$
$661$	−5.96069	−	5.96069i	−0.231844	−	0.231844i	−0.813462	+	0.581618i	$0.802420\pi$
$662$	−36.7045	+	21.1914i	−1.42656	+	0.823626i
$663$	−0.0101817	+	0.0691363i	−0.000395424	+	0.00268503i
$664$		−	14.8785i		−	0.577399i
$665$	−15.4271	+	7.08161i	−0.598238	+	0.274613i
$666$	−26.3333	+	45.6105i	−1.02039	+	1.76737i
$667$			6.22689i			0.241106i
$668$	−32.6963	−	8.76095i	−1.26506	−	0.338972i
$669$	0.0835537	−	0.0223881i	0.00323037	−	0.000865576i
$670$	−21.2896	−	21.2896i	−0.822491	−	0.822491i
$671$	1.59121	+	1.59121i	0.0614279	+	0.0614279i
$672$	−0.383022	−	0.142012i	−0.0147754	−	0.00547824i
$673$	−26.7116	−	15.4220i	−1.02966	−	0.594473i	−0.112771	−	0.993621i	$-0.535973\pi$
$673$	−26.7116	−	15.4220i	−1.02966	−	0.594473i	−0.916887	+	0.399148i	$0.869306\pi$
$674$	−13.9178	−	3.72926i	−0.536093	−	0.143646i
$675$	−0.181186	−	0.313823i	−0.00697385	−	0.0120791i
$676$	32.7686	−	7.71270i	1.26033	−	0.296642i
$677$	−23.6241	−	13.6394i	−0.907947	−	0.524203i	−0.0281768	−	0.999603i	$-0.508970\pi$
$677$	−23.6241	−	13.6394i	−0.907947	−	0.524203i	−0.879770	+	0.475400i	$0.842303\pi$
$678$	−0.0372102	−	0.138870i	−0.00142905	−	0.00533328i
$679$	−26.7332	+	22.1604i	−1.02593	+	0.850437i
$680$	−1.49604	+	0.863737i	−0.0573704	+	0.0331228i
$681$	−0.354077	+	0.0948748i	−0.0135683	+	0.00363561i
$682$	−0.564263	−	2.10586i	−0.0216067	−	0.0806375i
$683$	0.748258	+	2.79254i	0.0286313	+	0.106853i	0.978763	−	0.204996i	$-0.0657182\pi$
$683$	0.748258	+	2.79254i	0.0286313	+	0.106853i	−0.950131	+	0.311850i	$0.899052\pi$
$684$	34.5694	−	9.26286i	1.32180	−	0.354174i
$685$	−22.7237	+	13.1195i	−0.868228	+	0.501272i
$686$	20.4523	−	33.9988i	0.780872	−	1.29808i
$687$	−0.0477743	−	0.178296i	−0.00182270	−	0.00680242i
$688$	16.0034	+	9.23957i	0.610124	+	0.352255i
$689$	−16.8918	+	21.3292i	−0.643526	+	0.812577i
$690$	0.0972861	+	0.168504i	0.00370362	+	0.00641486i
$691$	−16.4287	−	4.40206i	−0.624978	−	0.167462i	−0.0675880	−	0.997713i	$-0.521530\pi$
$691$	−16.4287	−	4.40206i	−0.624978	−	0.167462i	−0.557390	+	0.830251i	$0.688197\pi$
$692$	9.99066	+	5.76811i	0.379788	+	0.219271i
$693$	−0.464083	−	2.72736i	−0.0176291	−	0.103604i
$694$	−20.1461	−	20.1461i	−0.764736	−	0.764736i
$695$	−14.8943	−	14.8943i	−0.564972	−	0.564972i
$696$	−0.0453489	+	0.0121512i	−0.00171895	+	0.000460590i
$697$	2.12736	+	0.570024i	0.0805795	+	0.0215912i
$698$			4.42848i			0.167621i
$699$	0.190307	−	0.329622i	0.00719808	−	0.0124674i
$700$	12.1313	−	17.1064i	0.458522	−	0.646561i
$701$		−	9.25014i		−	0.349373i	−0.984624	−	0.174687i	$-0.944109\pi$
$701$		−	9.25014i		−	0.349373i	0.984624	−	0.174687i	$-0.0558912\pi$
$702$	−0.105457	−	0.908341i	−0.00398021	−	0.0342831i
$703$	32.7022	−	18.8806i	1.23339	−	0.712096i
$704$	−2.91269	−	2.91269i	−0.109776	−	0.109776i
$705$	0.260619	−	0.150469i	0.00981549	−	0.00566697i
$706$	13.7302	+	23.7813i	0.516741	+	0.895022i
$707$	−1.70401	+	2.40283i	−0.0640860	+	0.0903675i
$708$	−0.201737	+	0.752893i	−0.00758174	+	0.0282954i
$709$	0.155778	−	0.155778i	0.00585037	−	0.00585037i	−0.704176	−	0.710026i	$-0.748683\pi$
$709$	0.155778	−	0.155778i	0.00585037	−	0.00585037i	0.710026	+	0.704176i	$0.248683\pi$
$710$	−7.25468	+	27.0748i	−0.272263	+	1.01610i
$711$	2.67091	−	4.62615i	0.100167	−	0.173494i
$712$	8.58653	+	14.8723i	0.321794	+	0.557363i
$713$	−9.32055	+	2.49743i	−0.349057	+	0.0935296i
$714$	0.0184282	+	0.108300i	0.000689657	+	0.00405304i
$715$	−0.255005	+	1.73155i	−0.00953664	+	0.0647563i
$716$	−15.5948	+	27.0110i	−0.582806	+	1.00945i
$717$	−0.00380132	+	0.00380132i	−0.000141963	+	0.000141963i
$718$	−6.10277			−0.227753
$719$	−26.3919			−0.984250			−0.492125	−	0.870525i	$-0.663780\pi$
$719$	−26.3919			−0.984250			−0.492125	+	0.870525i	$0.663780\pi$
$720$	−7.30521	+	7.30521i	−0.272249	+	0.272249i
$721$	−7.90101	−	17.2122i	−0.294249	−	0.641014i
$722$	−4.61176	−	1.23572i	−0.171632	−	0.0459886i
$723$	−0.103395	−	0.385875i	−0.00384529	−	0.0143508i
$724$	52.6108	+	30.3749i	1.95527	+	1.12887i
$725$			5.76637i			0.214158i
$726$	0.119022	−	0.444195i	0.00441731	−	0.0164856i
$727$	−11.9152			−0.441910			−0.220955	−	0.975284i	$-0.570917\pi$
$727$	−11.9152			−0.441910			−0.220955	+	0.975284i	$0.570917\pi$
$728$	10.2969	−	6.25548i	0.381629	−	0.231844i
$729$	26.9790			0.999221
$730$	−8.23708	+	30.7412i	−0.304868	+	1.13778i
$731$		−	7.33858i		−	0.271427i
$732$	0.285657	+	0.164924i	0.0105582	+	0.00609578i
$733$	−10.2643	−	38.3067i	−0.379119	−	1.41489i	−0.847232	−	0.531223i	$-0.821733\pi$
$733$	−10.2643	−	38.3067i	−0.379119	−	1.41489i	0.468113	−	0.883669i	$-0.344934\pi$
$734$	−13.1880	−	3.53372i	−0.486779	−	0.130432i
$735$	0.108427	+	0.158866i	0.00399938	+	0.00585986i
$736$	−18.2884	+	18.2884i	−0.674121	+	0.674121i
$737$	−3.51828			−0.129597
$738$	−14.4089			−0.530397
$739$	−12.6870	+	12.6870i	−0.466699	+	0.466699i	−0.900843	−	0.434144i	$-0.857051\pi$
$739$	−12.6870	+	12.6870i	−0.466699	+	0.466699i	0.434144	+	0.900843i	$0.357051\pi$
$740$	14.7766	−	25.5938i	0.543197	−	0.940845i
$741$	−0.130068	+	0.300891i	−0.00477817	+	0.0110535i
$742$	−14.8692	+	40.1039i	−0.545866	+	1.47226i
$743$	−13.8438	+	3.70943i	−0.507880	+	0.136086i	−0.503655	−	0.863905i	$-0.668012\pi$
$743$	−13.8438	+	3.70943i	−0.507880	+	0.136086i	−0.00422503	+	0.999991i	$0.501345\pi$
$744$	−0.0363764	−	0.0630057i	−0.00133362	−	0.00230990i
$745$	10.9331	−	18.9367i	0.400557	−	0.693785i
$746$	0.578959	−	2.16070i	0.0211972	−	0.0791090i
$747$	−24.9868	+	24.9868i	−0.914220	+	0.914220i
$748$	−0.229489	+	0.856466i	−0.00839097	+	0.0313155i
$749$	35.4361	+	3.31423i	1.29481	+	0.121099i
$750$	0.237254	+	0.410935i	0.00866327	+	0.0150052i
$751$	12.8397	−	7.41300i	0.468527	−	0.270504i	−0.247096	−	0.968991i	$-0.579476\pi$
$751$	12.8397	−	7.41300i	0.468527	−	0.270504i	0.715623	+	0.698487i	$0.246143\pi$
$752$	19.1547	+	19.1547i	0.698500	+	0.698500i
$753$	−0.0329953	+	0.0190498i	−0.00120242	+	0.000694215i
$754$	−5.77385	+	13.3568i	−0.210271	+	0.486427i
$755$			6.21648i			0.226241i
$756$	−0.338375	−	0.737141i	−0.0123066	−	0.0268096i
$757$	16.7856	−	29.0735i	0.610082	−	1.05669i	−0.381144	−	0.924516i	$-0.624470\pi$
$757$	16.7856	−	29.0735i	0.610082	−	1.05669i	0.991226	−	0.132177i	$-0.0421968\pi$
$758$		−	32.4390i		−	1.17824i
$759$	0.0219620	+	0.00588469i	0.000797169	+	0.000213601i
$760$	−7.82707	+	2.09726i	−0.283918	+	0.0760755i
$761$	0.388190	+	0.388190i	0.0140719	+	0.0140719i	0.714108	−	0.700036i	$-0.246833\pi$
$761$	0.388190	+	0.388190i	0.0140719	+	0.0140719i	−0.700036	+	0.714108i	$0.746833\pi$
$762$	−0.144995	−	0.144995i	−0.00525261	−	0.00525261i
$763$	−14.7084	−	17.7435i	−0.532480	−	0.642359i
$764$	−22.6269	−	13.0637i	−0.818614	−	0.472627i
$765$	3.96298	+	1.06188i	0.143282	+	0.0383922i
$766$	−10.6983	−	18.5301i	−0.386547	−	0.669519i
$767$	32.8095	+	44.1421i	1.18468	+	1.59388i
$768$	0.0500225	+	0.0288805i	0.00180503	+	0.00104214i
$769$	5.27369	+	19.6817i	0.190174	+	0.709739i	0.993463	+	0.114150i	$0.0364145\pi$
$769$	5.27369	+	19.6817i	0.190174	+	0.709739i	−0.803289	+	0.595589i	$0.796919\pi$
$770$	0.461542	+	2.71243i	0.0166328	+	0.0977491i
$771$	−0.214543	+	0.123867i	−0.00772659	+	0.00446095i
$772$	37.5855	−	10.0710i	1.35273	−	0.362464i
$773$	7.24306	+	27.0315i	0.260515	+	0.972255i	0.964939	+	0.262475i	$0.0845388\pi$
$773$	7.24306	+	27.0315i	0.260515	+	0.972255i	−0.704424	+	0.709780i	$0.748795\pi$
$774$	12.4263	+	46.3754i	0.446653	+	1.66693i
$775$	−8.63123	+	2.31273i	−0.310043	+	0.0830757i
$776$	−14.3552	+	8.28797i	−0.515321	+	0.297521i
$777$	−0.273061	−	0.329408i	−0.00979601	−	0.0118174i
$778$	9.92313	+	37.0336i	0.355761	+	1.32772i
$779$	8.94688	+	5.16548i	0.320555	+	0.185073i
$780$	0.0295859	+	0.254835i	0.00105935	+	0.00912457i
$781$	1.63772	+	2.83661i	0.0586021	+	0.101502i
$782$	6.71845	+	1.80020i	0.240251	+	0.0643752i
$783$	0.193143	+	0.111511i	0.00690235	+	0.00398508i
$784$	−11.2870	+	13.1287i	−0.403106	+	0.468881i
$785$	4.29094	+	4.29094i	0.153150	+	0.153150i
$786$	0.0686258	+	0.0686258i	0.00244780	+	0.00244780i
$787$	−29.6353	+	7.94074i	−1.05638	+	0.283057i	−0.744887	−	0.667191i	$-0.767497\pi$
$787$	−29.6353	+	7.94074i	−1.05638	+	0.283057i	−0.311496	+	0.950248i	$0.600830\pi$
$788$	22.6371	+	6.06560i	0.806415	+	0.216078i
$789$		−	0.218674i		−	0.00778499i
$790$	−2.65628	+	4.60081i	−0.0945063	+	0.163690i
$791$	−8.95905	−	0.837911i	−0.318547	−	0.0297927i
$792$		−	1.32066i		−	0.0469275i
$793$	21.6371	−	8.57646i	0.768355	−	0.304559i
$794$	16.2587	−	9.38695i	0.576999	−	0.333131i
$795$	−0.146615	−	0.146615i	−0.00519992	−	0.00519992i
$796$	12.8667	−	7.42860i	0.456048	−	0.263300i
$797$	−11.4398	−	19.8143i	−0.405219	−	0.701860i	0.589128	−	0.808040i	$-0.299471\pi$
$797$	−11.4398	−	19.8143i	−0.405219	−	0.701860i	−0.994347	+	0.106180i	$0.966138\pi$
$798$	−0.0479862	+	0.513074i	−0.00169869	+	0.0181626i
$799$	2.78430	−	10.3912i	0.0985016	−	0.367613i
$800$	−16.9359	+	16.9359i	−0.598774	+	0.598774i
$801$	10.5563	−	39.3965i	0.372987	−	1.39201i
$802$	18.0585	−	31.2782i	0.637667	−	1.10447i
$803$	1.85949	+	3.22073i	0.0656199	+	0.113657i
$804$	−0.498134	+	0.133475i	−0.0175678	+	0.00470729i
$805$	12.0052	−	2.04279i	0.423129	−	0.0719988i
$806$	−22.3085	−	3.28537i	−0.785784	−	0.115722i
$807$	−0.161831	+	0.280299i	−0.00569672	+	0.00986700i
$808$	−0.994318	+	0.994318i	−0.0349800	+	0.0349800i
$809$	−44.1533			−1.55235			−0.776175	−	0.630518i	$-0.782842\pi$
$809$	−44.1533			−1.55235			−0.776175	+	0.630518i	$0.782842\pi$
$810$	−26.8382			−0.942999
$811$	32.3569	−	32.3569i	1.13620	−	1.13620i	0.147078	−	0.989125i	$-0.453013\pi$
$811$	32.3569	−	32.3569i	1.13620	−	1.13620i	0.989125	−	0.147078i	$-0.0469869\pi$
$812$	−1.20189	+	12.8507i	−0.0421780	+	0.450973i
$813$	0.0102829	+	0.00275529i	0.000360636	+	9.66322e-5i
$814$	−1.58414	−	5.91208i	−0.0555240	−	0.207218i
$815$	18.7999	+	10.8541i	0.658531	+	0.380203i
$816$		−	0.0479381i		−	0.00167817i
$817$	8.90947	−	33.2506i	0.311703	−	1.16329i
$818$	62.8983			2.19919
$819$	−27.7979	−	6.78712i	−0.971337	−	0.237161i
$820$	8.08534			0.282352
$821$	11.1958	−	41.7835i	0.390738	−	1.45825i	−0.438182	−	0.898886i	$-0.644378\pi$
$821$	11.1958	−	41.7835i	0.390738	−	1.45825i	0.828920	−	0.559367i	$-0.188956\pi$
$822$			0.796552i			0.0277829i
$823$	21.9145	+	12.6524i	0.763892	+	0.441033i	0.830691	−	0.556733i	$-0.187945\pi$
$823$	21.9145	+	12.6524i	0.763892	+	0.441033i	−0.0667993	+	0.997766i	$0.521279\pi$
$824$	−2.33993	−	8.73272i	−0.0815152	−	0.304219i
$825$	0.0203377	+	0.00544947i	0.000708068	+	0.000189726i
$826$	70.5270	+	50.0157i	2.45395	+	1.74027i
$827$	−0.367751	+	0.367751i	−0.0127880	+	0.0127880i	−0.713472	−	0.700684i	$-0.752878\pi$
$827$	−0.367751	+	0.367751i	−0.0127880	+	0.0127880i	0.700684	+	0.713472i	$0.252878\pi$
$828$	−25.6751			−0.892270
$829$	−15.0023			−0.521050			−0.260525	−	0.965467i	$-0.583896\pi$
$829$	−15.0023			−0.521050			−0.260525	+	0.965467i	$0.583896\pi$
$830$	24.8500	−	24.8500i	0.862556	−	0.862556i
$831$	−0.103452	+	0.179184i	−0.00358871	+	0.00621582i
$832$	−39.6064	+	15.6991i	−1.37310	+	0.544268i
$833$	6.75643	+	1.27497i	0.234096	+	0.0441750i
$834$	−0.617651	+	0.165499i	−0.0213875	+	0.00573077i
$835$	−9.10119	−	15.7637i	−0.314960	−	0.545526i
$836$	−2.07960	+	3.60198i	−0.0719246	+	0.124577i
$837$	−0.0894478	+	0.333824i	−0.00309177	+	0.0115386i
$838$	−3.39607	+	3.39607i	−0.117315	+	0.117315i
$839$	−2.91549	+	10.8808i	−0.100654	+	0.375646i	−0.997816	−	0.0660560i	$-0.978958\pi$
$839$	−2.91549	+	10.8808i	−0.100654	+	0.375646i	0.897162	+	0.441702i	$0.145625\pi$
$840$	0.0383042	+	0.0834448i	0.00132162	+	0.00287912i
$841$	12.7255	+	22.0413i	0.438812	+	0.760044i
$842$	14.0086	−	8.08789i	0.482769	−	0.278727i
$843$	0.217667	+	0.217667i	0.00749686	+	0.00749686i
$844$	5.47332	−	3.16002i	0.188399	−	0.108772i
$845$	15.3926	+	9.52726i	0.529522	+	0.327748i
$846$			70.3806i			2.41973i
$847$	−23.4773	−	16.6494i	−0.806691	−	0.572081i
$848$	9.33211	−	16.1637i	0.320466	−	0.555063i
$849$		−	0.559096i		−	0.0191881i
$850$	6.22157	+	1.66707i	0.213398	+	0.0571799i
$851$	−26.1669	+	7.01140i	−0.896990	+	0.240348i
$852$	0.339490	+	0.339490i	0.0116307	+	0.0116307i
$853$	11.2202	+	11.2202i	0.384171	+	0.384171i	0.872602	−	0.488431i	$-0.162431\pi$
$853$	11.2202	+	11.2202i	0.384171	+	0.384171i	−0.488431	+	0.872602i	$0.662431\pi$
$854$	28.1690	−	23.3506i	0.963924	−	0.799040i
$855$	16.6668	+	9.62258i	0.569992	+	0.329085i
$856$	16.4108	+	4.39727i	0.560911	+	0.150296i
$857$	−22.2843	−	38.5976i	−0.761219	−	1.31847i	−0.942223	−	0.334987i	$-0.891268\pi$
$857$	−22.2843	−	38.5976i	−0.761219	−	1.31847i	0.181004	−	0.983482i	$-0.442065\pi$
$858$	0.0416524	+	0.0329869i	0.00142199	+	0.00112615i
$859$	16.5887	+	9.57747i	0.565998	+	0.326779i	0.755549	−	0.655092i	$-0.227370\pi$
$859$	16.5887	+	9.57747i	0.565998	+	0.326779i	−0.189552	+	0.981871i	$0.560703\pi$
$860$	−6.97283	−	26.0230i	−0.237772	−	0.887376i
$861$	0.0406947	−	0.109758i	0.00138687	−	0.00374054i
$862$	−16.1035	+	9.29737i	−0.548488	+	0.316670i
$863$	18.6332	−	4.99275i	0.634282	−	0.169955i	0.0726698	−	0.997356i	$-0.476848\pi$
$863$	18.6332	−	4.99275i	0.634282	−	0.169955i	0.561612	+	0.827401i	$0.310181\pi$
$864$	0.239753	+	0.894770i	0.00815656	+	0.0304407i
$865$	1.60558	+	5.99212i	0.0545914	+	0.203738i
$866$	−52.8662	+	14.1655i	−1.79647	+	0.481362i
$867$	0.274020	−	0.158205i	0.00930620	−	0.00537294i
$868$	−19.7173	+	3.35506i	−0.669249	+	0.113878i
$869$	0.160674	+	0.599645i	0.00545051	+	0.0203416i
$870$	−0.0960363	−	0.0554466i	−0.00325593	−	0.00187981i
$871$	−14.4390	+	33.4022i	−0.489246	+	1.13179i
$872$	−5.50094	−	9.52790i	−0.186285	−	0.322656i
$873$	38.0267	+	10.1892i	1.28701	+	0.344853i
$874$	28.2553	+	16.3132i	0.955750	+	0.551803i
$875$	29.2774	−	4.98179i	0.989757	−	0.168415i
$876$	0.385462	+	0.385462i	0.0130235	+	0.0130235i
$877$	6.95468	+	6.95468i	0.234843	+	0.234843i	0.814711	−	0.579868i	$-0.196896\pi$
$877$	6.95468	+	6.95468i	0.234843	+	0.234843i	−0.579868	+	0.814711i	$0.696896\pi$
$878$	−71.3156	+	19.1090i	−2.40679	+	0.644896i
$879$	0.412318	+	0.110480i	0.0139071	+	0.00372641i
$880$		−	1.20063i		−	0.0404733i
$881$	−23.9382	+	41.4622i	−0.806500	+	1.39690i	0.108774	+	0.994066i	$0.465307\pi$
$881$	−23.9382	+	41.4622i	−0.806500	+	1.39690i	−0.915274	+	0.402832i	$0.868026\pi$
$882$	−44.8555	+	3.38349i	−1.51036	+	0.113928i
$883$			12.8094i			0.431069i	0.976496	+	0.215535i	$0.0691495\pi$
$883$			12.8094i			0.431069i	−0.976496	+	0.215535i	$0.930851\pi$
$884$	7.18938	+	5.69368i	0.241805	+	0.191499i
$885$	−0.362989	+	0.209572i	−0.0122017	+	0.00704467i
$886$	−54.0672	−	54.0672i	−1.81642	−	1.81642i
$887$	31.7807	−	18.3486i	1.06709	−	0.616086i	0.139707	−	0.990193i	$-0.455384\pi$
$887$	31.7807	−	18.3486i	1.06709	−	0.616086i	0.927386	+	0.374107i	$0.122051\pi$
$888$	−0.102125	−	0.176885i	−0.00342708	−	0.00593587i
$889$	−11.6637	+	5.35404i	−0.391186	+	0.179569i
$890$	−10.4985	+	39.1808i	−0.351909	+	1.31334i
$891$	−2.21761	+	2.21761i	−0.0742927	+	0.0742927i
$892$	2.93808	−	10.9651i	0.0983743	−	0.367138i
$893$	25.2310	−	43.7014i	0.844323	−	1.46241i
$894$	−0.331901	−	0.574869i	−0.0111004	−	0.0192265i
$895$	−16.2004	+	4.34090i	−0.541521	+	0.145100i
$896$	−19.6866	+	16.3191i	−0.657683	+	0.545183i
$897$	0.146000	−	0.184354i	0.00487481	−	0.00615540i
$898$	6.38466	−	11.0586i	0.213059	−	0.369029i
$899$	3.88872	−	3.88872i	0.129696	−	0.129696i
$900$	−23.7762			−0.792540
$901$	−7.41207			−0.246932
$902$	1.18407	−	1.18407i	0.0394251	−	0.0394251i
$903$	−0.388355	−	0.0363216i	−0.0129237	−	0.00120871i
$904$	−4.14903	−	1.11173i	−0.137995	−	0.0369756i
$905$	8.45500	+	31.5545i	0.281054	+	1.04891i
$906$	0.163434	+	0.0943584i	0.00542972	+	0.00313485i
$907$		−	28.5723i		−	0.948727i	−0.880329	−	0.474364i	$-0.842678\pi$
$907$		−	28.5723i		−	0.948727i	0.880329	−	0.474364i	$-0.157322\pi$
$908$	−12.4508	+	46.4670i	−0.413194	+	1.54206i
$909$	3.33969			0.110771
$910$	27.6457	+	6.74995i	0.916445	+	0.223759i
$911$	12.2854			0.407034			0.203517	−	0.979071i	$-0.434763\pi$
$911$	12.2854			0.407034			0.203517	+	0.979071i	$0.434763\pi$
$912$	0.0581998	−	0.217204i	0.00192719	−	0.00719236i
$913$		−	4.10665i		−	0.135910i
$914$	−50.7006	−	29.2720i	−1.67703	−	0.968232i
$915$	0.0459075	+	0.171329i	0.00151765	+	0.00566397i
$916$	−23.3985	−	6.26961i	−0.773108	−	0.207154i
$917$	5.52038	−	2.53406i	0.182299	−	0.0836819i
$918$	0.176152	−	0.176152i	0.00581387	−	0.00581387i
$919$	−0.777585			−0.0256502			−0.0128251	−	0.999918i	$-0.504082\pi$
$919$	−0.777585			−0.0256502			−0.0128251	+	0.999918i	$0.504082\pi$
$920$	5.81324			0.191657
$921$	0.140554	−	0.140554i	0.00463141	−	0.00463141i
$922$	28.2194	−	48.8774i	0.929357	−	1.60969i
$923$	33.6516	−	3.90689i	1.10766	−	0.128597i
$924$	0.0441881	+	0.0163835i	0.00145368	+	0.000538978i
$925$	−24.2317	+	6.49286i	−0.796733	+	0.213484i
$926$	−30.5640	−	52.9385i	−1.00440	−	1.73967i
$927$	−10.7360	+	18.5953i	−0.352616	+	0.610749i
$928$	3.81515	−	14.2383i	0.125238	−	0.467396i
$929$	−9.48162	+	9.48162i	−0.311082	+	0.311082i	−0.845329	−	0.534247i	$-0.820595\pi$
$929$	−9.48162	+	9.48162i	−0.311082	+	0.311082i	0.534247	+	0.845329i	$0.320595\pi$
$930$	0.0444761	−	0.165987i	0.00145843	−	0.00544294i
$931$	29.0650	+	13.9795i	0.952568	+	0.458159i
$932$	−24.9748	−	43.2576i	−0.818076	−	1.41695i
$933$	−0.282686	+	0.163209i	−0.00925472	+	0.00534321i
$934$	33.8409	+	33.8409i	1.10731	+	1.10731i
$935$	−0.412924	+	0.238402i	−0.0135041	+	0.00779657i
$936$	−12.5382	−	5.41997i	−0.409824	−	0.177157i
$937$		−	1.11894i		−	0.0365542i	−0.999833	−	0.0182771i	$-0.994182\pi$
$937$		−	1.11894i		−	0.0365542i	0.999833	−	0.0182771i	$-0.00581811\pi$
$938$	−5.32698	+	56.9568i	−0.173932	+	1.85971i
$939$	0.341200	−	0.590975i	0.0111346	−	0.0192857i
$940$		−	39.4931i		−	1.28812i
$941$	−9.49482	−	2.54413i	−0.309522	−	0.0829363i	0.100714	−	0.994915i	$-0.467887\pi$
$941$	−9.49482	−	2.54413i	−0.309522	−	0.0829363i	−0.410237	+	0.911979i	$0.634554\pi$
$942$	0.177941	−	0.0476793i	0.00579765	−	0.00155347i
$943$	−5.24069	−	5.24069i	−0.170660	−	0.170660i
$944$	−26.6785	−	26.6785i	−0.868313	−	0.868313i
$945$	0.151627	−	0.408954i	0.00493243	−	0.0133033i
$946$	−4.83211	−	2.78982i	−0.157105	−	0.0907048i
$947$	−34.6790	−	9.29221i	−1.12692	−	0.301956i	−0.353237	−	0.935534i	$-0.614919\pi$
$947$	−34.6790	−	9.29221i	−1.12692	−	0.301956i	−0.773679	+	0.633578i	$0.781586\pi$
$948$	0.0454981	+	0.0788051i	0.00147771	+	0.00255947i
$949$	38.2086	−	4.43595i	1.24030	−	0.143997i
$950$	26.1656	+	15.1067i	0.848925	+	0.490127i
$951$	0.0631210	+	0.235571i	0.00204684	+	0.00763890i
$952$	3.07748	+	1.14103i	0.0997417	+	0.0369810i
$953$	−1.55852	+	0.899814i	−0.0504855	+	0.0291478i	−0.525030	−	0.851084i	$-0.675946\pi$
$953$	−1.55852	+	0.899814i	−0.0504855	+	0.0291478i	0.474545	+	0.880231i	$0.342613\pi$
$954$	46.8399	−	12.5507i	1.51650	−	0.406344i
$955$	−3.63634	−	13.5710i	−0.117669	−	0.439147i
$956$	0.182596	+	0.681459i	0.00590559	+	0.0220400i
$957$	−0.0125168	+	0.00335388i	−0.000404612	+	0.000108416i
$958$	28.5618	−	16.4901i	0.922789	−	0.532772i
$959$	46.7447	+	17.3314i	1.50946	+	0.559660i
$960$	−0.0840331	−	0.313616i	−0.00271216	−	0.0101219i
$961$	−19.4664	−	11.2389i	−0.627949	−	0.362546i
$962$	−62.6300	−	9.22350i	−2.01927	−	0.297377i
$963$	−20.1755	−	34.9449i	−0.650145	−	1.12608i
$964$	−50.6398	−	13.5689i	−1.63100	−	0.437025i
$965$	18.1209	+	10.4621i	0.583333	+	0.336788i
$966$	0.128519	−	0.346629i	0.00413502	−	0.0111526i
$967$	−40.2608	−	40.2608i	−1.29470	−	1.29470i	−0.931845	−	0.362857i	$-0.881802\pi$
$967$	−40.2608	−	40.2608i	−1.29470	−	1.29470i	−0.362857	−	0.931845i	$-0.618198\pi$
$968$	−9.71520	−	9.71520i	−0.312258	−	0.312258i
$969$	−0.0862578	+	0.0231127i	−0.00277100	+	0.000742488i
$970$	−37.8184	−	10.1334i	−1.21428	−	0.325364i
$971$			29.7361i			0.954276i	0.878828	+	0.477138i	$0.158326\pi$
$971$			29.7361i			0.954276i	−0.878828	+	0.477138i	$0.841674\pi$
$972$	−0.689697	+	1.19459i	−0.0221220	+	0.0383165i
$973$	−3.72677	+	39.8471i	−0.119475	+	1.27744i
$974$		−	38.8083i		−	1.24350i
$975$	0.135203	−	0.170720i	0.00432995	−	0.00546740i
$976$	−13.8272	+	7.98311i	−0.442596	+	0.255533i
$977$	−32.0824	−	32.0824i	−1.02641	−	1.02641i	−0.999642	−	0.0267637i	$-0.991480\pi$
$977$	−32.0824	−	32.0824i	−1.02641	−	1.02641i	−0.0267637	−	0.999642i	$-0.508520\pi$
$978$	0.570717	−	0.329504i	0.0182495	−	0.0105364i
$979$	2.36999	+	4.10494i	0.0757451	+	0.131194i
$980$	25.1701	−	1.89860i	0.804028	−	0.0606487i
$981$	−6.76284	+	25.2393i	−0.215921	+	0.805828i
$982$	30.3432	−	30.3432i	0.968292	−	0.968292i
$983$	11.9972	−	44.7741i	0.382651	−	1.42807i	−0.459187	−	0.888340i	$-0.651859\pi$
$983$	11.9972	−	44.7741i	0.382651	−	1.42807i	0.841837	−	0.539732i	$-0.181474\pi$
$984$	0.0279399	−	0.0483934i	0.000890692	−	0.00154272i
$985$	6.30116	+	10.9139i	0.200772	+	0.347747i
$986$	−3.82907	+	1.02600i	−0.121942	+	0.0326744i
$987$	−0.536117	−	0.198775i	−0.0170648	−	0.00632707i
$988$	25.6621	+	34.5260i	0.816422	+	1.09842i
$989$	−12.3478	+	21.3870i	−0.392636	+	0.680066i
$990$	2.20575	−	2.20575i	0.0701034	−	0.0701034i
$991$	−34.9221			−1.10934			−0.554668	−	0.832072i	$-0.687155\pi$
$991$	−34.9221			−1.10934			−0.554668	+	0.832072i	$0.687155\pi$
$992$	22.8424			0.725247
$993$	−0.276036	+	0.276036i	−0.00875975	+	0.00875975i
$994$	48.4010	−	22.2178i	1.53519	−	0.704707i
$995$	7.71709	+	2.06779i	0.244648	+	0.0655533i
$996$	−0.155796	−	0.581440i	−0.00493659	−	0.0184236i
$997$	34.5954	+	19.9736i	1.09565	+	0.632572i	0.935074	−	0.354452i	$-0.115333\pi$
$997$	34.5954	+	19.9736i	1.09565	+	0.632572i	0.160572	+	0.987024i	$0.448666\pi$
$998$			16.8730i			0.534107i
$999$	−0.251120	+	0.937192i	−0.00794508	+	0.0296514i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	91.2.w.a.33.7	✓	28
3.2	odd	2		819.2.gh.b.397.1		28
7.2	even	3		637.2.bd.a.293.1		28
7.3	odd	6		91.2.ba.a.59.7	yes	28
7.4	even	3		637.2.bb.a.423.7		28
7.5	odd	6		637.2.bd.b.293.1		28
7.6	odd	2		637.2.x.a.215.7		28
13.2	odd	12		91.2.ba.a.54.7	yes	28
21.17	even	6		819.2.et.b.514.1		28
39.2	even	12		819.2.et.b.145.1		28
91.2	odd	12		637.2.bd.b.587.1		28
91.41	even	12		637.2.bb.a.509.7		28
91.54	even	12		637.2.bd.a.587.1		28
91.67	odd	12		637.2.x.a.80.7		28
91.80	even	12	inner	91.2.w.a.80.7	yes	28
273.80	odd	12		819.2.gh.b.262.1		28

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
91.2.w.a.33.7	✓	28	1.1	even	1	trivial
91.2.w.a.80.7	yes	28	91.80	even	12	inner
91.2.ba.a.54.7	yes	28	13.2	odd	12
91.2.ba.a.59.7	yes	28	7.3	odd	6
637.2.x.a.80.7		28	91.67	odd	12
637.2.x.a.215.7		28	7.6	odd	2
637.2.bb.a.423.7		28	7.4	even	3
637.2.bb.a.509.7		28	91.41	even	12
637.2.bd.a.293.1		28	7.2	even	3
637.2.bd.a.587.1		28	91.54	even	12
637.2.bd.b.293.1		28	7.5	odd	6
637.2.bd.b.587.1		28	91.2	odd	12
819.2.et.b.145.1		28	39.2	even	12
819.2.et.b.514.1		28	21.17	even	6
819.2.gh.b.262.1		28	273.80	odd	12
819.2.gh.b.397.1		28	3.2	odd	2

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:	\( N \)	\(=\)	\( 91 = 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	91.w (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.554474 - 2.06932i) q^{2} -0.0197323i q^{3} +(-2.24261 - 1.29477i) q^{4} +(-0.360406 - 1.34505i) q^{5} +(-0.0408324 - 0.0109410i) q^{6} +(-1.53049 + 2.15815i) q^{7} +(-0.893066 + 0.893066i) q^{8} +2.99961 q^{9} +O(q^{10})\)	\(q+(0.554474 - 2.06932i) q^{2} -0.0197323i q^{3} +(-2.24261 - 1.29477i) q^{4} +(-0.360406 - 1.34505i) q^{5} +(-0.0408324 - 0.0109410i) q^{6} +(-1.53049 + 2.15815i) q^{7} +(-0.893066 + 0.893066i) q^{8} +2.99961 q^{9} -2.98319 q^{10} +(-0.246497 + 0.246497i) q^{11} +(-0.0255487 + 0.0442517i) q^{12} +(1.32860 + 3.35184i) q^{13} +(3.61728 + 4.36372i) q^{14} +(-0.0265409 + 0.00711162i) q^{15} +(-1.23668 - 2.14199i) q^{16} +(-0.491119 + 0.850644i) q^{17} +(1.66320 - 6.20717i) q^{18} +(-3.25796 + 3.25796i) q^{19} +(-0.933286 + 3.48307i) q^{20} +(0.0425851 + 0.0302001i) q^{21} +(0.373406 + 0.646758i) q^{22} +(2.86256 - 1.65270i) q^{23} +(0.0176222 + 0.0176222i) q^{24} +(2.65085 - 1.53047i) q^{25} +(7.67271 - 0.890788i) q^{26} -0.118386i q^{27} +(6.22660 - 2.85824i) q^{28} +(-0.941928 + 1.63147i) q^{29} +0.0588650i q^{30} +(-2.81980 - 0.755562i) q^{31} +(-7.55808 + 2.02518i) q^{32} +(0.00486394 + 0.00486394i) q^{33} +(1.48794 + 1.48794i) q^{34} +(3.45442 + 1.28079i) q^{35} +(-6.72695 - 3.88381i) q^{36} +(-7.91642 - 2.12120i) q^{37} +(4.93532 + 8.54823i) q^{38} +(0.0661394 - 0.0262162i) q^{39} +(1.52309 + 0.879355i) q^{40} +(-0.580331 - 2.16583i) q^{41} +(0.0861060 - 0.0713771i) q^{42} +(-6.47031 + 3.73564i) q^{43} +(0.871953 - 0.233639i) q^{44} +(-1.08108 - 4.03464i) q^{45} +(-1.83276 - 6.83994i) q^{46} +(-10.5791 + 2.83465i) q^{47} +(-0.0422663 + 0.0244025i) q^{48} +(-2.31518 - 6.60605i) q^{49} +(-1.69721 - 6.33408i) q^{50} +(0.0167851 + 0.00969089i) q^{51} +(1.36034 - 9.23709i) q^{52} +(3.77305 + 6.53511i) q^{53} +(-0.244979 - 0.0656418i) q^{54} +(0.420391 + 0.242713i) q^{55} +(-0.560535 - 3.29420i) q^{56} +(0.0642869 + 0.0642869i) q^{57} +(2.85376 + 2.85376i) q^{58} +(14.7344 - 3.94808i) q^{59} +(0.0687288 + 0.0184158i) q^{60} -6.45528i q^{61} +(-3.12700 + 5.41613i) q^{62} +(-4.59088 + 6.47360i) q^{63} +11.8163i q^{64} +(4.02957 - 2.99505i) q^{65} +(0.0127620 - 0.00736814i) q^{66} +(7.13655 + 7.13655i) q^{67} +(2.20278 - 1.27177i) q^{68} +(-0.0326115 - 0.0564847i) q^{69} +(4.56574 - 6.43815i) q^{70} +(2.43186 - 9.07582i) q^{71} +(-2.67885 + 2.67885i) q^{72} +(2.76117 - 10.3048i) q^{73} +(-8.77889 + 15.2055i) q^{74} +(-0.0301996 - 0.0523073i) q^{75} +(11.5246 - 3.08802i) q^{76} +(-0.154714 - 0.909238i) q^{77} +(-0.0175773 - 0.151400i) q^{78} +(0.890418 - 1.54225i) q^{79} +(-2.43539 + 2.43539i) q^{80} +8.99650 q^{81} -4.80357 q^{82} +(-8.33002 + 8.33002i) q^{83} +(-0.0563995 - 0.122865i) q^{84} +(1.32116 + 0.354005i) q^{85} +(4.14262 + 15.4605i) q^{86} +(0.0321925 + 0.0185864i) q^{87} -0.440276i q^{88} +(3.51921 - 13.1339i) q^{89} -8.94839 q^{90} +(-9.26716 - 2.26267i) q^{91} -8.55946 q^{92} +(-0.0149089 + 0.0556409i) q^{93} +23.4632i q^{94} +(5.55632 + 3.20794i) q^{95} +(0.0399614 + 0.149138i) q^{96} +(12.6772 + 3.39684i) q^{97} +(-14.9538 + 1.12798i) q^{98} +(-0.739395 + 0.739395i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 28 q - 2 q^{2} - 6 q^{4} - 6 q^{5} + 12 q^{6} + 2 q^{7} - 4 q^{8} - 12 q^{9}+O(q^{10}) \) 28 * q - 2 * q^2 - 6 * q^4 - 6 * q^5 + 12 * q^6 + 2 * q^7 - 4 * q^8 - 12 * q^9	\( 28 q - 2 q^{2} - 6 q^{4} - 6 q^{5} + 12 q^{6} + 2 q^{7} - 4 q^{8} - 12 q^{9} - 12 q^{10} + 2 q^{11} + 8 q^{12} - 20 q^{14} + 10 q^{15} - 2 q^{16} - 6 q^{17} - 4 q^{18} - 8 q^{19} - 36 q^{20} - 2 q^{21} - 8 q^{22} - 6 q^{23} + 12 q^{24} + 24 q^{26} - 18 q^{28} - 8 q^{29} - 38 q^{31} - 20 q^{32} + 18 q^{33} + 12 q^{34} - 2 q^{35} + 54 q^{36} - 16 q^{37} + 28 q^{39} + 48 q^{40} + 18 q^{41} - 4 q^{42} + 48 q^{43} - 6 q^{44} + 12 q^{45} + 18 q^{46} - 42 q^{47} + 12 q^{48} + 8 q^{49} + 10 q^{50} + 12 q^{51} - 28 q^{52} + 12 q^{53} - 30 q^{54} - 6 q^{55} - 24 q^{56} + 12 q^{57} + 62 q^{58} - 6 q^{59} + 16 q^{60} - 36 q^{62} - 38 q^{63} - 2 q^{65} + 66 q^{66} - 4 q^{67} + 30 q^{68} + 42 q^{69} + 68 q^{70} - 42 q^{71} - 38 q^{72} + 14 q^{73} - 6 q^{74} - 20 q^{75} + 52 q^{76} - 62 q^{78} + 4 q^{79} + 12 q^{80} + 12 q^{81} - 108 q^{82} - 66 q^{83} - 56 q^{84} - 54 q^{85} - 30 q^{86} + 42 q^{87} - 30 q^{89} - 72 q^{90} - 42 q^{91} - 156 q^{92} + 14 q^{93} - 6 q^{95} + 18 q^{96} + 62 q^{97} + 112 q^{98} - 36 q^{99}+O(q^{100}) \) 28 * q - 2 * q^2 - 6 * q^4 - 6 * q^5 + 12 * q^6 + 2 * q^7 - 4 * q^8 - 12 * q^9 - 12 * q^10 + 2 * q^11 + 8 * q^12 - 20 * q^14 + 10 * q^15 - 2 * q^16 - 6 * q^17 - 4 * q^18 - 8 * q^19 - 36 * q^20 - 2 * q^21 - 8 * q^22 - 6 * q^23 + 12 * q^24 + 24 * q^26 - 18 * q^28 - 8 * q^29 - 38 * q^31 - 20 * q^32 + 18 * q^33 + 12 * q^34 - 2 * q^35 + 54 * q^36 - 16 * q^37 + 28 * q^39 + 48 * q^40 + 18 * q^41 - 4 * q^42 + 48 * q^43 - 6 * q^44 + 12 * q^45 + 18 * q^46 - 42 * q^47 + 12 * q^48 + 8 * q^49 + 10 * q^50 + 12 * q^51 - 28 * q^52 + 12 * q^53 - 30 * q^54 - 6 * q^55 - 24 * q^56 + 12 * q^57 + 62 * q^58 - 6 * q^59 + 16 * q^60 - 36 * q^62 - 38 * q^63 - 2 * q^65 + 66 * q^66 - 4 * q^67 + 30 * q^68 + 42 * q^69 + 68 * q^70 - 42 * q^71 - 38 * q^72 + 14 * q^73 - 6 * q^74 - 20 * q^75 + 52 * q^76 - 62 * q^78 + 4 * q^79 + 12 * q^80 + 12 * q^81 - 108 * q^82 - 66 * q^83 - 56 * q^84 - 54 * q^85 - 30 * q^86 + 42 * q^87 - 30 * q^89 - 72 * q^90 - 42 * q^91 - 156 * q^92 + 14 * q^93 - 6 * q^95 + 18 * q^96 + 62 * q^97 + 112 * q^98 - 36 * q^99

Introduction

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