LMFDB - Embedded newform 276.2.m.a.7.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [276,2,Mod(7,276)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(276, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 0, 19]))

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

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

chi := DirichletCharacter("276.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 276 = 2^{2} \cdot 3 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	276.m (of order $22$, degree $10$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.20387109579$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$24$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			7.5
Character	$\chi$	$=$	276.7
Dual form			276.2.m.a.79.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.14571 - 0.829070i) q^{2} +(0.540641 + 0.841254i) q^{3} +(0.625286 + 1.89974i) q^{4} +(-3.51516 + 1.60532i) q^{5} +(0.0780426 - 1.41206i) q^{6} +(0.708179 - 0.207940i) q^{7} +(0.858625 - 2.69495i) q^{8} +(-0.415415 + 0.909632i) q^{9} +O(q^{10})$	\(q+(-1.14571 - 0.829070i) q^{2} +(0.540641 + 0.841254i) q^{3} +(0.625286 + 1.89974i) q^{4} +(-3.51516 + 1.60532i) q^{5} +(0.0780426 - 1.41206i) q^{6} +(0.708179 - 0.207940i) q^{7} +(0.858625 - 2.69495i) q^{8} +(-0.415415 + 0.909632i) q^{9} +(5.35826 + 1.07509i) q^{10} +(-3.10124 - 3.57902i) q^{11} +(-1.26011 + 1.55310i) q^{12} +(-5.23328 - 1.53663i) q^{13} +(-0.983762 - 0.348892i) q^{14} +(-3.25092 - 2.08924i) q^{15} +(-3.21804 + 2.37576i) q^{16} +(1.37498 + 0.197692i) q^{17} +(1.23009 - 0.697763i) q^{18} +(-0.185584 - 1.29077i) q^{19} +(-5.24767 - 5.67411i) q^{20} +(0.557801 + 0.483337i) q^{21} +(0.585850 + 6.67165i) q^{22} +(-4.63082 - 1.24720i) q^{23} +(2.73135 - 0.734679i) q^{24} +(6.50499 - 7.50716i) q^{25} +(4.72182 + 6.09928i) q^{26} +(-0.989821 + 0.142315i) q^{27} +(0.837846 + 1.21533i) q^{28} +(-1.29471 + 9.00493i) q^{29} +(1.99247 + 5.08889i) q^{30} +(-1.09029 + 1.69653i) q^{31} +(5.65660 - 0.0539486i) q^{32} +(1.33421 - 4.54389i) q^{33} +(-1.41142 - 1.36645i) q^{34} +(-2.15555 + 1.86779i) q^{35} +(-1.98782 - 0.220401i) q^{36} +(2.69113 + 1.22900i) q^{37} +(-0.857511 + 1.63270i) q^{38} +(-1.53663 - 5.23328i) q^{39} +(1.30805 + 10.8515i) q^{40} +(0.430656 + 0.943004i) q^{41} +(-0.238355 - 1.01622i) q^{42} +(-8.72103 + 5.60467i) q^{43} +(4.86005 - 8.12946i) q^{44} -3.86437i q^{45} +(4.27154 + 5.26820i) q^{46} +2.82445i q^{47} +(-3.73842 - 1.42275i) q^{48} +(-5.43050 + 3.48997i) q^{49} +(-13.6768 + 3.20790i) q^{50} +(0.577060 + 1.26359i) q^{51} +(-0.353095 - 10.9027i) q^{52} +(-1.06825 - 3.63812i) q^{53} +(1.25203 + 0.657580i) q^{54} +(16.6468 + 7.60234i) q^{55} +(0.0476718 - 2.08705i) q^{56} +(0.985527 - 0.853964i) q^{57} +(8.94908 - 9.24359i) q^{58} +(2.09155 - 7.12317i) q^{59} +(1.93626 - 7.48228i) q^{60} +(0.192867 - 0.300107i) q^{61} +(2.65570 - 1.03980i) q^{62} +(-0.105039 + 0.730563i) q^{63} +(-6.52553 - 4.62791i) q^{64} +(20.8626 - 2.99959i) q^{65} +(-5.29581 + 4.09981i) q^{66} +(5.94570 - 6.86171i) q^{67} +(0.484191 + 2.73572i) q^{68} +(-1.45440 - 4.56998i) q^{69} +(4.01816 - 0.352842i) q^{70} +(6.05415 + 5.24595i) q^{71} +(2.09473 + 1.90056i) q^{72} +(0.600572 + 4.17707i) q^{73} +(-2.06432 - 3.63921i) q^{74} +(9.83228 + 1.41367i) q^{75} +(2.33608 - 1.15966i) q^{76} +(-2.94045 - 1.88971i) q^{77} +(-2.57823 + 7.26977i) q^{78} +(-7.85405 - 2.30616i) q^{79} +(7.49805 - 13.5172i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(0.288412 - 1.43745i) q^{82} +(2.01090 - 4.40326i) q^{83} +(-0.569431 + 1.36190i) q^{84} +(-5.15063 + 1.51236i) q^{85} +(14.6384 + 0.809045i) q^{86} +(-8.27540 + 3.77925i) q^{87} +(-12.3081 + 5.28465i) q^{88} +(8.85205 + 13.7741i) q^{89} +(-3.20384 + 4.42744i) q^{90} -4.02562 q^{91} +(-0.526222 - 9.57722i) q^{92} -2.01667 q^{93} +(2.34167 - 3.23599i) q^{94} +(2.72445 + 4.23933i) q^{95} +(3.10357 + 4.72947i) q^{96} +(7.90511 - 3.61014i) q^{97} +(9.11518 + 0.503784i) q^{98} +(4.54389 - 1.33421i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9}+O(q^{10}) $ 240 * q - 4 * q^2 - 4 * q^6 - 4 * q^8 + 24 * q^9	$ 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9} - 8 q^{16} + 4 q^{18} + 4 q^{24} + 24 q^{25} - 40 q^{26} + 32 q^{29} + 36 q^{32} - 22 q^{34} - 22 q^{36} - 110 q^{38} - 22 q^{40} - 16 q^{41} - 110 q^{42} - 154 q^{44} - 88 q^{46} - 56 q^{48} - 40 q^{49} - 142 q^{50} - 70 q^{52} - 18 q^{54} - 110 q^{56} - 46 q^{58} - 22 q^{60} + 40 q^{62} - 48 q^{64} - 16 q^{69} - 72 q^{70} + 4 q^{72} + 22 q^{74} + 110 q^{76} - 192 q^{77} + 198 q^{80} - 24 q^{81} + 172 q^{82} - 200 q^{85} + 220 q^{86} + 176 q^{88} - 88 q^{89} + 154 q^{92} - 16 q^{93} + 126 q^{94} - 44 q^{96} - 88 q^{97} + 228 q^{98}+O(q^{100}) $ 240 * q - 4 * q^2 - 4 * q^6 - 4 * q^8 + 24 * q^9 - 8 * q^16 + 4 * q^18 + 4 * q^24 + 24 * q^25 - 40 * q^26 + 32 * q^29 + 36 * q^32 - 22 * q^34 - 22 * q^36 - 110 * q^38 - 22 * q^40 - 16 * q^41 - 110 * q^42 - 154 * q^44 - 88 * q^46 - 56 * q^48 - 40 * q^49 - 142 * q^50 - 70 * q^52 - 18 * q^54 - 110 * q^56 - 46 * q^58 - 22 * q^60 + 40 * q^62 - 48 * q^64 - 16 * q^69 - 72 * q^70 + 4 * q^72 + 22 * q^74 + 110 * q^76 - 192 * q^77 + 198 * q^80 - 24 * q^81 + 172 * q^82 - 200 * q^85 + 220 * q^86 + 176 * q^88 - 88 * q^89 + 154 * q^92 - 16 * q^93 + 126 * q^94 - 44 * q^96 - 88 * q^97 + 228 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/276\mathbb{Z}\right)^\times$.

$n$	$97$	$139$	$185$
$\chi(n)$	$e\left(\frac{19}{22}\right)$	$-1$	$1$

Coefficient data

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

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

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

$2$	−1.14571	−	0.829070i	−0.810137	−	0.586241i
$2$	−1.14571	−	0.829070i	−0.810137	−	0.586241i
$3$	0.540641	+	0.841254i	0.312139	+	0.485698i
$3$	0.540641	+	0.841254i	0.312139	+	0.485698i
$4$	0.625286	+	1.89974i	0.312643	+	0.949871i
$5$	−3.51516	+	1.60532i	−1.57203	+	0.717921i	−0.995100	−	0.0988752i	$-0.968476\pi$
$5$	−3.51516	+	1.60532i	−1.57203	+	0.717921i	−0.576927	+	0.816796i	$0.695748\pi$
$6$	0.0780426	−	1.41206i	0.0318607	−	0.576470i
$7$	0.708179	−	0.207940i	0.267666	−	0.0785939i	−0.145145	−	0.989410i	$-0.546365\pi$
$7$	0.708179	−	0.207940i	0.267666	−	0.0785939i	0.412812	+	0.910816i	$0.364547\pi$
$8$	0.858625	−	2.69495i	0.303570	−	0.952809i
$9$	−0.415415	+	0.909632i	−0.138472	+	0.303211i
$10$	5.35826	+	1.07509i	1.69443	+	0.339973i
$11$	−3.10124	−	3.57902i	−0.935058	−	1.07911i	−0.996713	−	0.0810169i	$-0.974183\pi$
$11$	−3.10124	−	3.57902i	−0.935058	−	1.07911i	0.0616548	−	0.998098i	$-0.480362\pi$
$12$	−1.26011	+	1.55310i	−0.363762	+	0.448342i
$13$	−5.23328	−	1.53663i	−1.45145	−	0.426184i	−0.541429	−	0.840747i	$-0.682116\pi$
$13$	−5.23328	−	1.53663i	−1.45145	−	0.426184i	−0.910021	+	0.414563i	$0.863935\pi$
$14$	−0.983762	−	0.348892i	−0.262921	−	0.0932452i
$15$	−3.25092	−	2.08924i	−0.839384	−	0.539439i
$16$	−3.21804	+	2.37576i	−0.804509	+	0.593941i
$17$	1.37498	+	0.197692i	0.333481	+	0.0479474i	0.307022	−	0.951703i	$-0.400668\pi$
$17$	1.37498	+	0.197692i	0.333481	+	0.0479474i	0.0264596	+	0.999650i	$0.491577\pi$
$18$	1.23009	−	0.697763i	0.289936	−	0.164464i
$19$	−0.185584	−	1.29077i	−0.0425759	−	0.296122i	−0.999973	−	0.00734734i	$-0.997661\pi$
$19$	−0.185584	−	1.29077i	−0.0425759	−	0.296122i	0.957397	−	0.288775i	$-0.0932478\pi$
$20$	−5.24767	−	5.67411i	−1.17341	−	1.26877i
$21$	0.557801	+	0.483337i	0.121722	+	0.105473i
$22$	0.585850	+	6.67165i	0.124904	+	1.42240i
$23$	−4.63082	−	1.24720i	−0.965593	−	0.260060i
$23$	−4.63082	−	1.24720i	−0.965593	−	0.260060i
$24$	2.73135	−	0.734679i	0.557533	−	0.149966i
$25$	6.50499	−	7.50716i	1.30100	−	1.50143i
$26$	4.72182	+	6.09928i	0.926026	+	1.19617i
$27$	−0.989821	+	0.142315i	−0.190491	+	0.0273885i
$28$	0.837846	+	1.21533i	0.158338	+	0.229677i
$29$	−1.29471	+	9.00493i	−0.240422	+	1.67217i	0.409606	+	0.912263i	$0.365666\pi$
$29$	−1.29471	+	9.00493i	−0.240422	+	1.67217i	−0.650028	+	0.759910i	$0.725243\pi$
$30$	1.99247	+	5.08889i	0.363774	+	0.929101i
$31$	−1.09029	+	1.69653i	−0.195823	+	0.304706i	−0.925254	−	0.379348i	$-0.876148\pi$
$31$	−1.09029	+	1.69653i	−0.195823	+	0.304706i	0.729431	+	0.684054i	$0.239785\pi$
$32$	5.65660	−	0.0539486i	0.999955	−	0.00953686i
$33$	1.33421	−	4.54389i	0.232255	−	0.790990i
$34$	−1.41142	−	1.36645i	−0.242057	−	0.234344i
$35$	−2.15555	+	1.86779i	−0.364354	+	0.315715i
$36$	−1.98782	−	0.220401i	−0.331303	−	0.0367336i
$37$	2.69113	+	1.22900i	0.442420	+	0.202046i	0.624154	−	0.781301i	$-0.285444\pi$
$37$	2.69113	+	1.22900i	0.442420	+	0.202046i	−0.181734	+	0.983348i	$0.558171\pi$
$38$	−0.857511	+	1.63270i	−0.139107	+	0.264859i
$39$	−1.53663	−	5.23328i	−0.246057	−	0.837995i
$40$	1.30805	+	10.8515i	0.206821	+	1.71578i
$41$	0.430656	+	0.943004i	0.0672571	+	0.147273i	0.940275	−	0.340415i	$-0.110568\pi$
$41$	0.430656	+	0.943004i	0.0672571	+	0.147273i	−0.873018	+	0.487688i	$0.837840\pi$
$42$	−0.238355	−	1.01622i	−0.0367790	−	0.156806i
$43$	−8.72103	+	5.60467i	−1.32994	+	0.854704i	−0.996126	−	0.0879337i	$-0.971974\pi$
$43$	−8.72103	+	5.60467i	−1.32994	+	0.854704i	−0.333819	+	0.942637i	$0.608337\pi$
$44$	4.86005	−	8.12946i	0.732680	−	1.22556i
$45$		−	3.86437i		−	0.576067i
$46$	4.27154	+	5.26820i	0.629804	+	0.776754i
$47$			2.82445i			0.411989i	0.978553	+	0.205994i	$0.0660428\pi$
$47$			2.82445i			0.411989i	−0.978553	+	0.205994i	$0.933957\pi$
$48$	−3.73842	−	1.42275i	−0.539594	−	0.205356i
$49$	−5.43050	+	3.48997i	−0.775785	+	0.498567i
$50$	−13.6768	+	3.20790i	−1.93419	+	0.453666i
$51$	0.577060	+	1.26359i	0.0808046	+	0.176937i
$52$	−0.353095	−	10.9027i	−0.0489655	−	1.51193i
$53$	−1.06825	−	3.63812i	−0.146735	−	0.499734i	0.853020	−	0.521879i	$-0.174769\pi$
$53$	−1.06825	−	3.63812i	−0.146735	−	0.499734i	−0.999755	+	0.0221450i	$0.992950\pi$
$54$	1.25203	+	0.657580i	0.170380	+	0.0894853i
$55$	16.6468	+	7.60234i	2.24465	+	1.02510i
$56$	0.0476718	−	2.08705i	0.00637041	−	0.278894i
$57$	0.985527	−	0.853964i	0.130536	−	0.113110i
$58$	8.94908	−	9.24359i	1.17507	−	1.21374i
$59$	2.09155	−	7.12317i	0.272297	−	0.927358i	−0.703869	−	0.710330i	$-0.748546\pi$
$59$	2.09155	−	7.12317i	0.272297	−	0.927358i	0.976165	−	0.217028i	$-0.0696361\pi$
$60$	1.93626	−	7.48228i	0.249970	−	0.965958i
$61$	0.192867	−	0.300107i	0.0246941	−	0.0384248i	−0.828687	−	0.559712i	$-0.810912\pi$
$61$	0.192867	−	0.300107i	0.0246941	−	0.0384248i	0.853381	+	0.521287i	$0.174548\pi$
$62$	2.65570	−	1.03980i	0.337274	−	0.132054i
$63$	−0.105039	+	0.730563i	−0.0132337	+	0.0920423i
$64$	−6.52553	−	4.62791i	−0.815691	−	0.578488i
$65$	20.8626	−	2.99959i	2.58768	−	0.372053i
$66$	−5.29581	+	4.09981i	−0.651869	+	0.504652i
$67$	5.94570	−	6.86171i	0.726383	−	0.838291i	−0.265676	−	0.964062i	$-0.585595\pi$
$67$	5.94570	−	6.86171i	0.726383	−	0.838291i	0.992059	+	0.125772i	$0.0401406\pi$
$68$	0.484191	+	2.73572i	0.0587167	+	0.331755i
$69$	−1.45440	−	4.56998i	−0.175089	−	0.550161i
$70$	4.01816	−	0.352842i	0.480262	−	0.0421727i
$71$	6.05415	+	5.24595i	0.718496	+	0.622580i	0.935391	−	0.353615i	$-0.115048\pi$
$71$	6.05415	+	5.24595i	0.718496	+	0.622580i	−0.216896	+	0.976195i	$0.569593\pi$
$72$	2.09473	+	1.90056i	0.246866	+	0.223983i
$73$	0.600572	+	4.17707i	0.0702916	+	0.488889i	0.994309	+	0.106538i	$0.0339765\pi$
$73$	0.600572	+	4.17707i	0.0702916	+	0.488889i	−0.924017	+	0.382351i	$0.875114\pi$
$74$	−2.06432	−	3.63921i	−0.239973	−	0.423050i
$75$	9.83228	+	1.41367i	1.13533	+	0.163236i
$76$	2.33608	−	1.15966i	0.267967	−	0.133022i
$77$	−2.94045	−	1.88971i	−0.335095	−	0.215353i
$78$	−2.57823	+	7.26977i	−0.291927	+	0.823139i
$79$	−7.85405	−	2.30616i	−0.883650	−	0.259463i	−0.191739	−	0.981446i	$-0.561413\pi$
$79$	−7.85405	−	2.30616i	−0.883650	−	0.259463i	−0.691911	+	0.721983i	$0.743231\pi$
$80$	7.49805	−	13.5172i	0.838307	−	1.51126i
$81$	−0.654861	−	0.755750i	−0.0727623	−	0.0839722i
$82$	0.288412	−	1.43745i	0.0318497	−	0.158740i
$83$	2.01090	−	4.40326i	0.220725	−	0.483321i	−0.766581	−	0.642147i	$-0.778044\pi$
$83$	2.01090	−	4.40326i	0.220725	−	0.483321i	0.987307	+	0.158826i	$0.0507710\pi$
$84$	−0.569431	+	1.36190i	−0.0621300	+	0.148596i
$85$	−5.15063	+	1.51236i	−0.558664	+	0.164039i
$86$	14.6384	+	0.809045i	1.57850	+	0.0872415i
$87$	−8.27540	+	3.77925i	−0.887216	+	0.405178i
$88$	−12.3081	+	5.28465i	−1.31205	+	0.563345i
$89$	8.85205	+	13.7741i	0.938316	+	1.46005i	0.887216	+	0.461354i	$0.152636\pi$
$89$	8.85205	+	13.7741i	0.938316	+	1.46005i	0.0510997	+	0.998694i	$0.483727\pi$
$90$	−3.20384	+	4.42744i	−0.337714	+	0.466693i
$91$	−4.02562			−0.422000
$92$	−0.526222	−	9.57722i	−0.0548624	−	0.998494i
$93$	−2.01667			−0.209119
$94$	2.34167	−	3.23599i	0.241525	−	0.333767i
$95$	2.72445	+	4.23933i	0.279523	+	0.434946i
$96$	3.10357	+	4.72947i	0.316757	+	0.482699i
$97$	7.90511	−	3.61014i	0.802642	−	0.366554i	0.0285220	−	0.999593i	$-0.490920\pi$
$97$	7.90511	−	3.61014i	0.802642	−	0.366554i	0.774120	+	0.633039i	$0.218193\pi$
$98$	9.11518	+	0.503784i	0.920772	+	0.0508898i
$99$	4.54389	−	1.33421i	0.456678	−	0.134093i
$100$	18.3291	+	7.66368i	1.83291	+	0.766368i
$101$	−4.80029	+	10.5112i	−0.477647	+	1.04590i	0.505457	+	0.862852i	$0.331324\pi$
$101$	−4.80029	+	10.5112i	−0.477647	+	1.04590i	−0.983104	+	0.183049i	$0.941403\pi$
$102$	0.386460	−	1.92612i	0.0382652	−	0.190714i
$103$	−5.00448	−	5.77547i	−0.493106	−	0.569074i	0.453587	−	0.891212i	$-0.350144\pi$
$103$	−5.00448	−	5.77547i	−0.493106	−	0.569074i	−0.946693	+	0.322138i	$0.895599\pi$
$104$	−8.63456	+	12.7840i	−0.846688	+	1.25358i
$105$	−2.73667	−	0.803558i	−0.267071	−	0.0784192i
$106$	−1.79236	+	5.05386i	−0.174089	+	0.490875i
$107$	−10.9181	−	7.01661i	−1.05549	−	0.678321i	−0.106718	−	0.994289i	$-0.534034\pi$
$107$	−10.9181	−	7.01661i	−1.05549	−	0.678321i	−0.948770	+	0.315968i	$0.897671\pi$
$108$	−0.889283	−	1.79142i	−0.0855713	−	0.172379i
$109$	−15.0147	−	2.15879i	−1.43815	−	0.206775i	−0.621277	−	0.783591i	$-0.713386\pi$
$109$	−15.0147	−	2.15879i	−1.43815	−	0.206775i	−0.816874	+	0.576816i	$0.804295\pi$
$110$	−12.7695	−	22.5114i	−1.21752	−	2.14638i
$111$	0.421037	+	2.92837i	0.0399630	+	0.277949i
$112$	−1.78493	+	2.35162i	−0.168660	+	0.222207i
$113$	−13.3170	−	11.5392i	−1.25276	−	1.08552i	−0.992786	−	0.119903i	$-0.961742\pi$
$113$	−13.3170	−	11.5392i	−1.25276	−	1.08552i	−0.259971	−	0.965617i	$-0.583713\pi$
$114$	−1.83712	+	0.161321i	−0.172062	+	0.0151091i
$115$	18.2802	−	3.04983i	1.70464	−	0.284398i
$116$	−17.9166	+	3.17103i	−1.66351	+	0.294423i
$117$	3.57175	−	4.12202i	0.330208	−	0.381081i
$118$	−8.30191	+	6.42702i	−0.764253	+	0.591655i
$119$	1.01484	−	0.145912i	0.0930301	−	0.0133757i
$120$	−8.42172	+	6.96719i	−0.768794	+	0.636015i
$121$	−1.62624	+	11.3107i	−0.147840	+	1.02825i
$122$	−0.469779	+	0.183934i	−0.0425318	+	0.0166526i
$123$	−0.560476	+	0.872117i	−0.0505364	+	0.0786361i
$124$	−3.90472	−	1.01046i	−0.350654	−	0.0907421i
$125$	−5.37108	+	18.2922i	−0.480404	+	1.63611i
$126$	0.726032	−	0.749926i	0.0646801	−	0.0668087i
$127$	3.83161	−	3.32011i	0.340001	−	0.294612i	−0.468078	−	0.883687i	$-0.655053\pi$
$127$	3.83161	−	3.32011i	0.340001	−	0.294612i	0.808078	+	0.589075i	$0.200508\pi$
$128$	3.63948	+	10.7123i	0.321687	+	0.946846i
$129$	−9.42989	−	4.30649i	−0.830256	−	0.379165i
$130$	−26.3892	−	13.8599i	−2.31449	−	1.21559i
$131$	4.90993	+	16.7217i	0.428983	+	1.46098i	0.836593	+	0.547825i	$0.184544\pi$
$131$	4.90993	+	16.7217i	0.428983	+	1.46098i	−0.407610	+	0.913156i	$0.633638\pi$
$132$	9.46647	−	0.306582i	0.823951	−	0.0266845i
$133$	−0.399829	−	0.875503i	−0.0346695	−	0.0759157i
$134$	−12.5009	+	2.93210i	−1.07991	+	0.253294i
$135$	3.25092	−	2.08924i	0.279795	−	0.179813i
$136$	1.71336	−	3.53576i	0.146920	−	0.303189i
$137$			1.50188i			0.128314i	0.997940	+	0.0641570i	$0.0204358\pi$
$137$			1.50188i			0.128314i	−0.997940	+	0.0641570i	$0.979564\pi$
$138$	−2.12252	+	6.44165i	−0.180681	+	0.548350i
$139$			13.9154i			1.18029i	0.807299	+	0.590143i	$0.200929\pi$
$139$			13.9154i			1.18029i	−0.807299	+	0.590143i	$0.799071\pi$
$140$	−4.89616	−	2.92708i	−0.413801	−	0.247384i
$141$	−2.37608	+	1.52701i	−0.200102	+	0.128598i
$142$	−2.58702	−	11.0296i	−0.217098	−	0.925587i
$143$	10.7300	+	23.4954i	0.897288	+	1.96479i
$144$	−0.824249	−	3.91416i	−0.0686874	−	0.326180i
$145$	−9.90466	−	33.7322i	−0.822537	−	2.80130i
$146$	2.77500	−	5.28361i	0.229661	−	0.437275i
$147$	−5.87190	−	2.68161i	−0.484306	−	0.221175i
$148$	−0.652054	+	5.88094i	−0.0535985	+	0.483410i
$149$	7.86944	−	6.81891i	0.644690	−	0.558627i	−0.269961	−	0.962871i	$-0.587011\pi$
$149$	7.86944	−	6.81891i	0.644690	−	0.558627i	0.914651	+	0.404244i	$0.132465\pi$
$150$	−10.0929	−	9.77130i	−0.824080	−	0.797823i
$151$	−2.12330	+	7.23129i	−0.172792	+	0.588474i	0.826868	+	0.562396i	$0.190120\pi$
$151$	−2.12330	+	7.23129i	−0.172792	+	0.588474i	−0.999660	+	0.0260786i	$0.991698\pi$
$152$	−3.63790	−	0.608144i	−0.295073	−	0.0493270i
$153$	−0.751014	+	1.16860i	−0.0607159	+	0.0944757i
$154$	1.80219	+	4.60290i	0.145224	+	0.370912i
$155$	1.10908	−	7.71385i	0.0890838	−	0.619591i
$156$	8.98104	−	6.19149i	0.719059	−	0.495716i
$157$	13.3897	−	1.92515i	1.06862	−	0.153644i	0.414509	−	0.910045i	$-0.363953\pi$
$157$	13.3897	−	1.92515i	1.06862	−	0.153644i	0.654108	+	0.756401i	$0.273044\pi$
$158$	7.08647	+	9.15374i	0.563769	+	0.728232i
$159$	2.48304	−	2.86558i	0.196918	−	0.227255i
$160$	−19.7972	+	9.27028i	−1.56511	+	0.732880i
$161$	−3.53879	+	0.0796903i	−0.278896	+	0.00628047i
$162$	0.123709	+	1.40879i	0.00971947	+	0.110685i
$163$	−4.31453	−	3.73856i	−0.337940	−	0.292827i	0.469313	−	0.883032i	$-0.344501\pi$
$163$	−4.31453	−	3.73856i	−0.337940	−	0.292827i	−0.807253	+	0.590205i	$0.799047\pi$
$164$	−1.52218	+	1.40778i	−0.118862	+	0.109929i
$165$	2.60445	+	18.1143i	0.202756	+	1.41020i
$166$	−5.95452	+	3.37767i	−0.462160	+	0.262158i
$167$	4.26564	+	0.613307i	0.330085	+	0.0474591i	0.305365	−	0.952235i	$-0.401221\pi$
$167$	4.26564	+	0.613307i	0.330085	+	0.0474591i	0.0247201	+	0.999694i	$0.492131\pi$
$168$	1.78151	−	1.08824i	0.137447	−	0.0839595i
$169$	14.0896	+	9.05487i	1.08382	+	0.696528i
$170$	7.15496	+	2.53751i	0.548760	+	0.194618i
$171$	1.25122	+	0.367390i	0.0956829	+	0.0280950i
$172$	−16.1006	−	13.0632i	−1.22766	−	0.996059i
$173$	9.12511	+	10.5309i	0.693769	+	0.800652i	0.987897	−	0.155114i	$-0.0495745\pi$
$173$	9.12511	+	10.5309i	0.693769	+	0.800652i	−0.294128	+	0.955766i	$0.595029\pi$
$174$	12.6144	+	2.53098i	0.956298	+	0.191873i
$175$	3.04565	−	6.66905i	0.230230	−	0.504133i
$176$	18.4828	+	4.14961i	1.39319	+	0.312788i
$177$	7.12317	−	2.09155i	0.535410	−	0.157211i
$178$	1.27781	−	23.1200i	0.0957760	−	1.73292i
$179$	14.9093	−	6.80886i	1.11438	−	0.508918i	0.228828	−	0.973467i	$-0.426511\pi$
$179$	14.9093	−	6.80886i	1.11438	−	0.508918i	0.885548	+	0.464548i	$0.153783\pi$
$180$	7.34131	−	2.41634i	0.547189	−	0.180103i
$181$	−0.387267	−	0.602599i	−0.0287853	−	0.0447908i	0.826563	−	0.562845i	$-0.190293\pi$
$181$	−0.387267	−	0.602599i	−0.0287853	−	0.0447908i	−0.855348	+	0.518054i	$0.826657\pi$
$182$	4.61218	+	3.33752i	0.341877	+	0.247394i
$183$	0.356738			0.0263709
$184$	−7.33729	+	11.4090i	−0.540912	+	0.841079i
$185$	−11.4327			−0.840549
$186$	2.31051	+	1.67196i	0.169415	+	0.122594i
$187$	−3.55659	−	5.53416i	−0.260084	−	0.404698i
$188$	−5.36573	+	1.76609i	−0.391336	+	0.128805i
$189$	−0.671377	+	0.306608i	−0.0488355	+	0.0223024i
$190$	0.393280	−	7.11578i	0.0285315	−	0.516233i
$191$	−12.5905	+	3.69690i	−0.911016	+	0.267499i	−0.703469	−	0.710726i	$-0.748366\pi$
$191$	−12.5905	+	3.69690i	−0.911016	+	0.267499i	−0.207548	+	0.978225i	$0.566548\pi$
$192$	0.365277	−	7.99166i	0.0263616	−	0.576748i
$193$	2.97737	−	6.51952i	0.214316	−	0.469286i	−0.771690	−	0.635999i	$-0.780588\pi$
$193$	2.97737	−	6.51952i	0.214316	−	0.469286i	0.986005	+	0.166713i	$0.0533155\pi$
$194$	−12.0500	−	2.41773i	−0.865139	−	0.173583i
$195$	13.8026	+	15.9290i	0.988423	+	1.14070i
$196$	−10.0256	−	8.13431i	−0.716118	−	0.581022i
$197$	−21.3681	−	6.27423i	−1.52241	−	0.447021i	−0.589694	−	0.807627i	$-0.700752\pi$
$197$	−21.3681	−	6.27423i	−1.52241	−	0.447021i	−0.932718	+	0.360606i	$0.882570\pi$
$198$	−6.31211	−	2.23859i	−0.448582	−	0.159090i
$199$	−6.40299	−	4.11495i	−0.453896	−	0.291701i	0.293648	−	0.955914i	$-0.405131\pi$
$199$	−6.40299	−	4.11495i	−0.453896	−	0.291701i	−0.747544	+	0.664212i	$0.768767\pi$
$200$	−14.6461	−	23.9765i	−1.03563	−	1.69539i
$201$	8.98692	+	1.29212i	0.633889	+	0.0911394i
$202$	14.2142	−	8.06293i	1.00011	−	0.567306i
$203$	0.955597	+	6.64632i	0.0670697	+	0.466480i
$204$	−2.03966	+	1.88637i	−0.142805	+	0.132072i
$205$	−3.02765	−	2.62347i	−0.211460	−	0.183231i
$206$	0.945388	+	10.7661i	0.0658683	+	0.750107i
$207$	3.05821	−	3.69423i	0.212560	−	0.256767i
$208$	20.4915	−	7.48809i	1.42083	−	0.519206i
$209$	−4.04413	+	4.66718i	−0.279739	+	0.322836i
$210$	2.46921	+	3.18953i	0.170392	+	0.220099i
$211$	−23.7004	+	3.40760i	−1.63160	+	0.234589i	−0.896396	−	0.443254i	$-0.853824\pi$
$211$	−23.7004	+	3.40760i	−1.63160	+	0.234589i	−0.735206	+	0.677843i	$0.762915\pi$
$212$	6.24352	−	4.30425i	0.428807	−	0.295617i
$213$	−1.14005	+	7.92925i	−0.0781152	+	0.543303i
$214$	6.69162	+	17.0908i	0.457430	+	1.16830i
$215$	21.6585	−	33.7013i	1.47710	−	2.29841i
$216$	−0.466354	+	2.78972i	−0.0317314	+	0.189816i
$217$	−0.419347	+	1.42816i	−0.0284671	+	0.0969500i
$218$	15.4127	+	14.9216i	1.04388	+	1.01062i
$219$	−3.18928	+	2.76353i	−0.215512	+	0.186742i
$220$	−4.03347	+	36.3783i	−0.271937	+	2.45262i
$221$	−6.89186	−	3.14741i	−0.463597	−	0.211718i
$222$	1.94544	−	3.70413i	0.130570	−	0.248605i
$223$	−5.53718	−	18.8579i	−0.370797	−	1.26282i	−0.907859	−	0.419276i	$-0.862284\pi$
$223$	−5.53718	−	18.8579i	−0.370797	−	1.26282i	0.537062	−	0.843543i	$-0.319534\pi$
$224$	3.99466	−	1.21444i	0.266905	−	0.0811431i
$225$	4.12648	+	9.03573i	0.275099	+	0.602382i
$226$	5.69052	+	24.2613i	0.378528	+	1.61384i
$227$	−6.42011	+	4.12595i	−0.426117	+	0.273849i	−0.736073	−	0.676902i	$-0.763322\pi$
$227$	−6.42011	+	4.12595i	−0.426117	+	0.273849i	0.309956	+	0.950751i	$0.399686\pi$
$228$	2.23855	+	1.33828i	0.148251	+	0.0886294i
$229$			1.34807i			0.0890832i	0.999008	+	0.0445416i	$0.0141827\pi$
$229$			1.34807i			0.0890832i	−0.999008	+	0.0445416i	$0.985817\pi$
$230$	−23.4723	−	11.6614i	−1.54772	−	0.768929i
$231$		−	3.49532i		−	0.229975i
$232$	23.1562	+	11.2210i	1.52028	+	0.736698i
$233$	13.0886	−	8.41153i	0.857463	−	0.551058i	−0.0364312	−	0.999336i	$-0.511599\pi$
$233$	13.0886	−	8.41153i	0.857463	−	0.551058i	0.893894	+	0.448278i	$0.147963\pi$
$234$	−7.50961	+	1.76139i	−0.490919	+	0.115146i
$235$	−4.53415	−	9.92840i	−0.295775	−	0.647657i
$236$	14.8400	−	0.480609i	0.966002	−	0.0312850i
$237$	−2.30616	−	7.85405i	−0.149801	−	0.510175i
$238$	−1.28368	−	0.674200i	−0.0832085	−	0.0437019i
$239$	−26.8266	−	12.2513i	−1.73527	−	0.792471i	−0.992403	−	0.123030i	$-0.960739\pi$
$239$	−26.8266	−	12.2513i	−1.73527	−	0.792471i	−0.742866	−	0.669441i	$-0.766534\pi$
$240$	15.4251	−	1.00017i	0.995686	−	0.0645604i
$241$	7.02145	−	6.08412i	0.452291	−	0.391913i	−0.398709	−	0.917077i	$-0.630542\pi$
$241$	7.02145	−	6.08412i	0.452291	−	0.391913i	0.851001	+	0.525165i	$0.175996\pi$
$242$	11.2406	−	11.6105i	0.722571	−	0.746351i
$243$	0.281733	−	0.959493i	0.0180732	−	0.0615515i
$244$	0.690724	+	0.178745i	0.0442190	+	0.0114430i
$245$	13.4865	−	20.9855i	0.861624	−	1.34071i
$246$	1.36519	−	0.534516i	0.0870411	−	0.0340795i
$247$	−1.01221	+	7.04011i	−0.0644057	+	0.447951i
$248$	3.63592	+	4.39498i	0.230881	+	0.279081i
$249$	4.79144	−	0.688904i	0.303645	−	0.0436575i
$250$	21.3192	−	16.5045i	1.34835	−	1.04384i
$251$	6.71789	−	7.75286i	0.424030	−	0.489356i	−0.503031	−	0.864269i	$-0.667782\pi$
$251$	6.71789	−	7.75286i	0.424030	−	0.489356i	0.927060	+	0.374912i	$0.122327\pi$
$252$	−1.45356	+	0.257264i	−0.0915657	+	0.0162061i
$253$	9.89750	+	20.4417i	0.622251	+	1.28516i
$254$	−7.14251	+	0.627197i	−0.448161	+	0.0393538i
$255$	−4.05692	−	3.51534i	−0.254054	−	0.220139i
$256$	4.71151	−	15.2906i	0.294469	−	0.955661i
$257$	−2.18134	−	15.1716i	−0.136069	−	0.946377i	−0.937424	−	0.348189i	$-0.886797\pi$
$257$	−2.18134	−	15.1716i	−0.136069	−	0.946377i	0.801356	−	0.598188i	$-0.204112\pi$
$258$	7.23351	+	12.7520i	0.450338	+	0.793905i
$259$	2.16136	+	0.310757i	0.134301	+	0.0193095i
$260$	18.7435	+	37.7579i	1.16242	+	2.34165i
$261$	−7.65333	−	4.91849i	−0.473729	−	0.304447i
$262$	8.23812	−	23.2288i	0.508953	−	1.43508i
$263$	0.252220	+	0.0740584i	0.0155525	+	0.00456663i	0.289500	−	0.957178i	$-0.406511\pi$
$263$	0.252220	+	0.0740584i	0.0155525	+	0.00456663i	−0.273947	+	0.961745i	$0.588329\pi$
$264$	−11.1000	−	7.49712i	−0.683156	−	0.461416i
$265$	9.59539	+	11.0737i	0.589440	+	0.680251i
$266$	−0.267767	+	1.33455i	−0.0164178	+	0.0818268i
$267$	−6.80170	+	14.8936i	−0.416257	+	0.911476i
$268$	16.7532	+	7.00477i	1.02337	+	0.427884i
$269$	17.5275	−	5.14654i	1.06867	−	0.313790i	0.300333	−	0.953834i	$-0.402902\pi$
$269$	17.5275	−	5.14654i	1.06867	−	0.313790i	0.768338	+	0.640044i	$0.221084\pi$
$270$	−5.45672	−	0.301586i	−0.332086	−	0.0183539i
$271$	−13.1510	+	6.00586i	−0.798866	+	0.364830i	−0.772655	−	0.634827i	$-0.781072\pi$
$271$	−13.1510	+	6.00586i	−0.798866	+	0.364830i	−0.0262114	+	0.999656i	$0.508344\pi$
$272$	−4.89440	+	2.63044i	−0.296767	+	0.159494i
$273$	−2.17641	−	3.38657i	−0.131723	−	0.204964i
$274$	1.24516	−	1.72071i	0.0752229	−	0.103952i
$275$	−47.0417			−2.83672
$276$	7.77237	−	5.62052i	0.467842	−	0.338316i
$277$	13.3517			0.802224			0.401112	−	0.916029i	$-0.368624\pi$
$277$	13.3517			0.802224			0.401112	+	0.916029i	$0.368624\pi$
$278$	11.5368	−	15.9429i	0.691932	−	0.956193i
$279$	−1.09029	−	1.69653i	−0.0652742	−	0.101569i
$280$	3.18281	+	7.41284i	0.190209	+	0.443002i
$281$	−8.92956	+	4.07799i	−0.532693	+	0.243273i	−0.663554	−	0.748128i	$-0.730953\pi$
$281$	−8.92956	+	4.07799i	−0.532693	+	0.243273i	0.130862	+	0.991401i	$0.458226\pi$
$282$	3.98829	+	0.220427i	0.237499	+	0.0131263i
$283$	−6.72530	+	1.97473i	−0.399777	+	0.117385i	−0.475440	−	0.879748i	$-0.657711\pi$
$283$	−6.72530	+	1.97473i	−0.399777	+	0.117385i	0.0756624	+	0.997133i	$0.475893\pi$
$284$	−6.18038	+	14.7815i	−0.366738	+	0.877123i
$285$	−2.09340	+	4.58390i	−0.124002	+	0.271527i
$286$	7.18593	−	35.8148i	0.424913	−	2.11777i
$287$	0.501069	+	0.578265i	0.0295772	+	0.0341339i
$288$	−2.30076	+	5.16783i	−0.135574	+	0.304517i
$289$	−14.4599	−	4.24581i	−0.850582	−	0.249753i
$290$	−16.6185	+	46.8588i	−0.975872	+	2.75164i
$291$	7.31087	+	4.69841i	0.428571	+	0.275426i
$292$	−7.55982	+	3.75279i	−0.442405	+	0.219616i
$293$	2.63648	+	0.379068i	0.154025	+	0.0221454i	0.218896	−	0.975748i	$-0.429755\pi$
$293$	2.63648	+	0.379068i	0.154025	+	0.0221454i	−0.0648711	+	0.997894i	$0.520664\pi$
$294$	4.50423	+	7.94055i	0.262692	+	0.463102i
$295$	4.08283	+	28.3967i	0.237711	+	1.65332i
$296$	5.62277	−	6.19723i	0.326817	−	0.360206i
$297$	3.57902	+	3.10124i	0.207676	+	0.179952i
$298$	−14.6694	+	1.28815i	−0.849777	+	0.0746205i
$299$	22.3179	+	13.6428i	1.29068	+	0.788984i
$300$	3.46238	+	19.5627i	0.199901	+	1.12946i
$301$	−5.01061	+	5.78256i	−0.288807	+	0.333301i
$302$	8.42793	−	6.52457i	0.484973	−	0.375447i
$303$	−11.4378	+	1.64451i	−0.657084	+	0.0944744i
$304$	3.66377	+	3.71283i	0.210132	+	0.212945i
$305$	−0.196191	+	1.36454i	−0.0112339	+	0.0781332i
$306$	1.82929	−	0.716230i	0.104574	−	0.0409441i
$307$	1.23901	−	1.92794i	0.0707141	−	0.110033i	−0.804096	−	0.594500i	$-0.797350\pi$
$307$	1.23901	−	1.92794i	0.0707141	−	0.110033i	0.874810	+	0.484467i	$0.160986\pi$
$308$	1.75134	−	6.76771i	0.0997921	−	0.385626i
$309$	2.15301	−	7.33249i	0.122481	−	0.417131i
$310$	−7.66601	+	7.91830i	−0.435400	+	0.449729i
$311$	−8.05578	+	6.98037i	−0.456801	+	0.395820i	−0.852639	−	0.522500i	$-0.825000\pi$
$311$	−8.05578	+	6.98037i	−0.456801	+	0.395820i	0.395838	+	0.918320i	$0.370454\pi$
$312$	−15.4228	−	0.352283i	−0.873145	−	0.0199441i
$313$	1.93836	+	0.885218i	0.109562	+	0.0500355i	0.469442	−	0.882963i	$-0.344455\pi$
$313$	1.93836	+	0.885218i	0.109562	+	0.0500355i	−0.359880	+	0.932999i	$0.617182\pi$
$314$	−16.9368	−	8.89536i	−0.955798	−	0.501994i
$315$	−0.803558	−	2.73667i	−0.0452754	−	0.154194i
$316$	−0.529922	−	16.3627i	−0.0298105	−	0.920472i
$317$	−4.61951	−	10.1153i	−0.259457	−	0.568133i	0.734411	−	0.678705i	$-0.237459\pi$
$317$	−4.61951	−	10.1153i	−0.259457	−	0.568133i	−0.993868	+	0.110573i	$0.964731\pi$
$318$	−5.22060	+	1.22450i	−0.292757	+	0.0686665i
$319$	36.2440	−	23.2926i	2.02927	−	1.30414i
$320$	30.3675	+	5.79227i	1.69760	+	0.323798i
$321$		−	12.9783i		−	0.724379i
$322$	4.12048	+	2.84260i	0.229626	+	0.158412i
$323$		−	1.81146i		−	0.100793i
$324$	1.02625	−	1.71663i	0.0570141	−	0.0953681i
$325$	−45.5781	+	29.2913i	−2.52822	+	1.62479i
$326$	1.84365	+	7.86034i	0.102111	+	0.435344i
$327$	−6.30149	−	13.7983i	−0.348473	−	0.763049i
$328$	2.91112	−	0.350909i	0.160740	−	0.0193757i
$329$	0.587317	+	2.00022i	0.0323798	+	0.110276i
$330$	12.0341	−	22.9130i	0.662456	−	1.26132i
$331$	7.47148	+	3.41211i	0.410670	+	0.187547i	0.610028	−	0.792380i	$-0.291158\pi$
$331$	7.47148	+	3.41211i	0.410670	+	0.187547i	−0.199358	+	0.979927i	$0.563886\pi$
$332$	9.62245	+	1.06690i	0.528100	+	0.0585536i
$333$	−2.23588	+	1.93740i	−0.122525	+	0.106169i
$334$	−4.37870	−	4.23919i	−0.239592	−	0.231958i
$335$	−9.88486	+	33.6647i	−0.540067	+	1.83930i
$336$	−2.94332	−	0.230194i	−0.160571	−	0.0125581i
$337$	−10.1772	+	15.8361i	−0.554388	+	0.862645i	−0.999460	−	0.0328496i	$-0.989542\pi$
$337$	−10.1772	+	15.8361i	−0.554388	+	0.862645i	0.445072	+	0.895495i	$0.353178\pi$
$338$	−8.63548	−	22.0555i	−0.469708	−	1.19966i
$339$	2.50771	−	17.4415i	0.136200	−	0.947294i
$340$	−6.09371	−	8.83920i	−0.330478	−	0.479373i
$341$	9.45318	−	1.35916i	0.511918	−	0.0736027i
$342$	−1.12893	−	1.45827i	−0.0610458	−	0.0788541i
$343$	−6.50342	+	7.50534i	−0.351151	+	0.405250i
$344$	7.61621	+	28.3151i	0.410638	+	1.52665i
$345$	12.4487	+	13.7294i	0.670216	+	0.739168i
$346$	−1.72381	−	19.6307i	−0.0926726	−	1.05535i
$347$	8.65499	+	7.49959i	0.464624	+	0.402599i	0.855466	−	0.517859i	$-0.173271\pi$
$347$	8.65499	+	7.49959i	0.464624	+	0.402599i	−0.390842	+	0.920458i	$0.627816\pi$
$348$	−12.3541	−	13.3580i	−0.662249	−	0.716065i
$349$	1.19054	+	8.28040i	0.0637283	+	0.443240i	0.996556	+	0.0829181i	$0.0264240\pi$
$349$	1.19054	+	8.28040i	0.0637283	+	0.443240i	−0.932828	+	0.360322i	$0.882667\pi$
$350$	−9.01854	+	5.11572i	−0.482061	+	0.273447i
$351$	5.39869	+	0.776215i	0.288161	+	0.0414313i
$352$	−17.7355	−	20.0778i	−0.945307	−	1.07015i
$353$	−17.4371	−	11.2062i	−0.928085	−	0.596444i	−0.0130925	−	0.999914i	$-0.504168\pi$
$353$	−17.4371	−	11.2062i	−0.928085	−	0.596444i	−0.914993	+	0.403470i	$0.867804\pi$
$354$	−9.89510	−	3.50930i	−0.525919	−	0.186517i
$355$	−29.7027	−	8.72151i	−1.57646	−	0.462890i
$356$	−20.6321	+	25.4293i	−1.09350	+	1.34775i
$357$	0.671412	+	0.774851i	0.0355349	+	0.0410094i
$358$	−22.7267	−	4.55992i	−1.20115	−	0.240999i
$359$	10.0205	−	21.9419i	0.528862	−	1.15805i	−0.437112	−	0.899407i	$-0.643999\pi$
$359$	10.0205	−	21.9419i	0.528862	−	1.15805i	0.965974	−	0.258639i	$-0.0832742\pi$
$360$	−10.4143	−	3.31805i	−0.548882	−	0.174877i
$361$	16.5987	−	4.87383i	0.873617	−	0.256517i
$362$	−0.0559027	+	1.01147i	−0.00293818	+	0.0531618i
$363$	−10.3944	+	4.74696i	−0.545564	+	0.249151i
$364$	−2.51716	−	7.64764i	−0.131935	−	0.400845i
$365$	−8.81663	−	13.7189i	−0.461484	−	0.718083i
$366$	−0.408717	−	0.295761i	−0.0213640	−	0.0154597i
$367$	30.8400			1.60984			0.804919	−	0.593385i	$-0.202209\pi$
$367$	30.8400			1.60984			0.804919	+	0.593385i	$0.202209\pi$
$368$	17.8652	−	6.98818i	0.931288	−	0.364284i
$369$	−1.03669			−0.0539678
$370$	13.0985	+	9.47851i	0.680960	+	0.492764i
$371$	−1.51302	−	2.35430i	−0.0785521	−	0.122229i
$372$	−1.26100	−	3.83115i	−0.0653796	−	0.198636i
$373$	5.06749	−	2.31425i	0.262385	−	0.119827i	−0.279879	−	0.960035i	$-0.590294\pi$
$373$	5.06749	−	2.31425i	0.262385	−	0.119827i	0.542264	+	0.840208i	$0.317567\pi$
$374$	−0.513401	+	9.28919i	−0.0265473	+	0.480332i
$375$	−18.2922	+	5.37108i	−0.944606	+	0.277361i
$376$	7.61176	+	2.42515i	0.392547	+	0.125067i
$377$	20.6128	−	45.1358i	1.06161	−	2.32461i
$378$	1.02340	+	0.205336i	0.0526381	+	0.0105614i
$379$	−9.22594	−	10.6473i	−0.473905	−	0.546915i	0.467589	−	0.883946i	$-0.345123\pi$
$379$	−9.22594	−	10.6473i	−0.473905	−	0.546915i	−0.941494	+	0.337031i	$0.890577\pi$
$380$	−6.35006	+	7.82654i	−0.325751	+	0.401493i
$381$	4.86458	+	1.42837i	0.249220	+	0.0731776i
$382$	17.4900	+	6.20284i	0.894866	+	0.317365i
$383$	−26.6096	−	17.1010i	−1.35969	−	0.873818i	−0.361406	−	0.932409i	$-0.617703\pi$
$383$	−26.6096	−	17.1010i	−1.35969	−	0.873818i	−0.998282	+	0.0585902i	$0.981339\pi$
$384$	−7.04414	+	8.85325i	−0.359470	+	0.451791i
$385$	13.3697	+	1.92228i	0.681385	+	0.0979684i
$386$	−8.81633	+	5.00101i	−0.448739	+	0.254545i
$387$	−1.47534	−	10.2612i	−0.0749956	−	0.521606i
$388$	11.8013	+	12.7603i	0.599120	+	0.647806i
$389$	−2.29125	−	1.98538i	−0.116171	−	0.100663i	0.594838	−	0.803845i	$-0.297216\pi$
$389$	−2.29125	−	1.98538i	−0.116171	−	0.100663i	−0.711009	+	0.703183i	$0.751762\pi$
$390$	−2.60742	−	29.6933i	−0.132032	−	1.50358i
$391$	−6.12071	−	2.63035i	−0.309538	−	0.133023i
$392$	4.74253	+	17.6315i	0.239534	+	0.890525i
$393$	−11.4127	+	13.1709i	−0.575693	+	0.664386i
$394$	19.2798	+	24.9041i	0.971300	+	1.25465i
$395$	31.3104	−	4.50175i	1.57539	−	0.226508i
$396$	5.37588	+	7.79795i	0.270148	+	0.391862i
$397$	1.88945	−	13.1414i	0.0948287	−	0.659548i	−0.885857	−	0.463958i	$-0.846429\pi$
$397$	1.88945	−	13.1414i	0.0948287	−	0.659548i	0.980686	−	0.195590i	$-0.0626622\pi$
$398$	3.92436	+	10.0231i	0.196711	+	0.502410i
$399$	0.520356	−	0.809690i	0.0260504	−	0.0405352i
$400$	−3.09806	+	39.6126i	−0.154903	+	1.98063i
$401$	−3.35473	+	11.4252i	−0.167527	+	0.570545i	0.832340	+	0.554265i	$0.187001\pi$
$401$	−3.35473	+	11.4252i	−0.167527	+	0.570545i	−0.999867	+	0.0162804i	$0.994818\pi$
$402$	−9.22511	−	8.93118i	−0.460107	−	0.445447i
$403$	8.31275	−	7.20304i	0.414088	−	0.358809i
$404$	−22.9701	−	2.54683i	−1.14280	−	0.126709i
$405$	3.51516	+	1.60532i	0.174670	+	0.0797690i
$406$	4.41543	−	8.40699i	0.219134	−	0.417232i
$407$	−3.94723	−	13.4430i	−0.195657	−	0.666347i
$408$	3.90078	−	0.470203i	0.193117	−	0.0232785i
$409$	10.7748	+	23.5936i	0.532780	+	1.16663i	0.964370	+	0.264556i	$0.0852255\pi$
$409$	10.7748	+	23.5936i	0.532780	+	1.16663i	−0.431590	+	0.902070i	$0.642047\pi$
$410$	1.29375	+	5.51586i	0.0638939	+	0.272409i
$411$	−1.26346	+	0.811976i	−0.0623218	+	0.0400518i
$412$	7.84268	−	13.1185i	0.386381	−	0.646304i
$413$		−	5.47939i		−	0.269623i
$414$	−6.56659	+	1.69704i	−0.322730	+	0.0834049i
$415$			18.7063i			0.918256i
$416$	−29.6854	−	8.40976i	−1.45545	−	0.412322i
$417$	−11.7063	+	7.52321i	−0.573262	+	0.368413i
$418$	8.50281	−	1.99435i	0.415886	−	0.0975467i
$419$	16.2673	+	35.6204i	0.794710	+	1.74017i	0.662650	+	0.748929i	$0.269432\pi$
$419$	16.2673	+	35.6204i	0.794710	+	1.74017i	0.132060	+	0.991242i	$0.457841\pi$
$420$	−0.184646	−	5.70141i	−0.00900982	−	0.278201i
$421$	4.60461	+	15.6819i	0.224415	+	0.764288i	0.992317	+	0.123721i	$0.0394826\pi$
$421$	4.60461	+	15.6819i	0.224415	+	0.764288i	−0.767902	+	0.640567i	$0.778699\pi$
$422$	29.9788	+	15.7452i	1.45935	+	0.766463i
$423$	−2.56921	−	1.17332i	−0.124919	−	0.0570488i
$424$	−10.7218	−	0.244903i	−0.520695	−	0.0118936i
$425$	10.4283	−	9.03619i	0.505848	−	0.438320i
$426$	7.88007	−	8.13941i	0.381791	−	0.394356i
$427$	0.0741802	−	0.252634i	0.00358983	−	0.0122258i
$428$	6.50284	−	25.1289i	0.314326	−	1.21465i
$429$	−13.9645	+	21.7292i	−0.674214	+	1.04910i
$430$	−52.7551	+	20.6554i	−2.54408	+	0.996091i
$431$	3.69704	−	25.7135i	0.178080	−	1.23857i	−0.683119	−	0.730307i	$-0.739377\pi$
$431$	3.69704	−	25.7135i	0.178080	−	1.23857i	0.861199	−	0.508268i	$-0.169714\pi$
$432$	2.84717	−	2.80955i	0.136985	−	0.135175i
$433$	−0.609811	+	0.0876776i	−0.0293057	+	0.00421352i	−0.156952	−	0.987606i	$-0.550167\pi$
$433$	−0.609811	+	0.0876776i	−0.0293057	+	0.00421352i	0.127646	+	0.991820i	$0.459258\pi$
$434$	1.66450	−	1.28859i	0.0798983	−	0.0618542i
$435$	23.0224	−	26.5693i	1.10384	−	1.27390i
$436$	−5.28735	−	29.8740i	−0.253218	−	1.43070i
$437$	−0.750440	+	6.20876i	−0.0358984	+	0.297005i
$438$	5.94513	−	0.522053i	0.284070	−	0.0249447i
$439$	16.3244	+	14.1452i	0.779120	+	0.675111i	0.950718	−	0.310056i	$-0.100348\pi$
$439$	16.3244	+	14.1452i	0.779120	+	0.675111i	−0.171598	+	0.985167i	$0.554893\pi$
$440$	34.7813	−	38.3348i	1.65813	−	1.82754i
$441$	−0.918677	−	6.38954i	−0.0437465	−	0.304264i
$442$	5.28663	+	9.31984i	0.251459	+	0.443300i
$443$	−24.6823	−	3.54878i	−1.17269	−	0.168608i	−0.471689	−	0.881765i	$-0.656356\pi$
$443$	−24.6823	−	3.54878i	−1.17269	−	0.168608i	−0.701004	+	0.713157i	$0.747265\pi$
$444$	−5.29989	+	2.63093i	−0.251521	+	0.124858i
$445$	−53.2281	−	34.2076i	−2.52326	−	1.62160i
$446$	−9.29054	+	26.1963i	−0.439920	+	1.24043i
$447$	9.99098	+	2.93362i	0.472557	+	0.138755i
$448$	−5.58356	−	1.92047i	−0.263799	−	0.0907335i
$449$	−2.01686	−	2.32758i	−0.0951814	−	0.109845i	0.706161	−	0.708052i	$-0.250426\pi$
$449$	−2.01686	−	2.32758i	−0.0951814	−	0.109845i	−0.801342	+	0.598207i	$0.795880\pi$
$450$	2.76352	−	13.7734i	0.130274	−	0.649286i
$451$	2.03946	−	4.46580i	0.0960346	−	0.210286i
$452$	13.5946	−	32.5141i	0.639438	−	1.52934i
$453$	−7.23129	+	2.12330i	−0.339756	+	0.0997613i
$454$	10.7763	+	0.595589i	0.505755	+	0.0279524i
$455$	14.1507	−	6.46241i	0.663395	−	0.302962i
$456$	−1.45519	−	3.38918i	−0.0681457	−	0.158713i
$457$	−1.14838	−	1.78691i	−0.0537189	−	0.0835882i	0.813355	−	0.581767i	$-0.197639\pi$
$457$	−1.14838	−	1.78691i	−0.0537189	−	0.0835882i	−0.867074	+	0.498179i	$0.834002\pi$
$458$	1.11765	−	1.54450i	0.0522242	−	0.0721696i
$459$	−1.38912			−0.0648385
$460$	17.2242	+	32.8207i	0.803085	+	1.53027i
$461$	−21.7781			−1.01431			−0.507154	−	0.861855i	$-0.669303\pi$
$461$	−21.7781			−1.01431			−0.507154	+	0.861855i	$0.669303\pi$
$462$	−2.89787	+	4.00461i	−0.134821	+	0.186311i
$463$	14.2851	+	22.2281i	0.663886	+	1.03303i	0.995962	+	0.0897739i	$0.0286144\pi$
$463$	14.2851	+	22.2281i	0.663886	+	1.03303i	−0.332076	+	0.943252i	$0.607749\pi$
$464$	−17.2271	−	32.0541i	−0.799750	−	1.48807i
$465$	7.08892	−	3.23740i	0.328741	−	0.150131i
$466$	−21.9694	−	1.21422i	−1.01771	−	0.0562477i
$467$	−1.65953	+	0.487283i	−0.0767941	+	0.0225488i	−0.319904	−	0.947450i	$-0.603651\pi$
$467$	−1.65953	+	0.487283i	−0.0767941	+	0.0225488i	0.243110	+	0.969999i	$0.421832\pi$
$468$	10.0641	+	4.20796i	0.465214	+	0.194513i
$469$	2.78380	−	6.09566i	0.128544	−	0.281472i
$470$	−3.03654	+	15.1342i	−0.140065	+	0.698086i
$471$	8.85858	+	10.2233i	0.408182	+	0.471067i
$472$	−17.4007	−	11.7528i	−0.800934	−	0.540965i
$473$	47.1052	+	13.8313i	2.16590	+	0.635965i
$474$	−3.86938	+	10.9104i	−0.177726	+	0.501131i
$475$	−10.8972	−	7.00321i	−0.499998	−	0.321329i
$476$	0.911759	+	1.83669i	0.0417904	+	0.0841847i
$477$	3.75311	+	0.539616i	0.171843	+	0.0247073i
$478$	20.5782	+	36.2775i	0.941226	+	1.65930i
$479$	−2.50874	−	17.4486i	−0.114627	−	0.797249i	−0.963319	−	0.268360i	$-0.913518\pi$
$479$	−2.50874	−	17.4486i	−0.114627	−	0.797249i	0.848692	−	0.528888i	$-0.177391\pi$
$480$	−18.5018	−	11.6426i	−0.844490	−	0.531409i
$481$	−12.1949	−	10.5670i	−0.556041	−	0.481812i
$482$	−13.0887	+	1.14934i	−0.596173	+	0.0523510i
$483$	−1.98025	−	2.93394i	−0.0901047	−	0.133499i
$484$	−22.5043	+	3.98300i	−1.02292	+	0.181046i
$485$	−21.9923	+	25.3804i	−0.998618	+	1.15247i
$486$	−1.11827	+	0.865721i	−0.0507257	+	0.0392699i
$487$	−12.3157	+	1.77073i	−0.558078	+	0.0802394i	−0.415582	−	0.909556i	$-0.636422\pi$
$487$	−12.3157	+	1.77073i	−0.558078	+	0.0802394i	−0.142496	+	0.989795i	$0.545513\pi$
$488$	−0.643174	−	0.777448i	−0.0291151	−	0.0351934i
$489$	0.812467	−	5.65083i	0.0367410	−	0.255539i
$490$	−32.8500	+	12.8619i	−1.48401	+	0.581041i
$491$	6.92103	−	10.7693i	0.312342	−	0.486013i	−0.649221	−	0.760600i	$-0.724905\pi$
$491$	6.92103	−	10.7693i	0.312342	−	0.486013i	0.961562	+	0.274587i	$0.0885411\pi$
$492$	−2.00725	−	0.519436i	−0.0904940	−	0.0234180i
$493$	−3.56041	+	12.1256i	−0.160353	+	0.546111i
$494$	6.99644	−	7.22670i	0.314785	−	0.325145i
$495$	−13.8307	+	11.9843i	−0.621642	+	0.538656i
$496$	−0.521949	−	8.04978i	−0.0234362	−	0.361446i
$497$	5.37826	+	2.45617i	0.241248	+	0.110174i
$498$	−6.06073	−	3.18315i	−0.271588	−	0.142641i
$499$	6.18781	+	21.0738i	0.277005	+	0.943391i	0.974044	+	0.226358i	$0.0726820\pi$
$499$	6.18781	+	21.0738i	0.277005	+	0.943391i	−0.697040	+	0.717033i	$0.745500\pi$
$500$	−38.1090	+	1.23420i	−1.70428	+	0.0551950i
$501$	1.79023	+	3.92006i	0.0799817	+	0.175136i
$502$	−14.1244	+	3.31290i	−0.630403	+	0.147862i
$503$	−29.0508	+	18.6698i	−1.29531	+	0.832447i	−0.992693	−	0.120664i	$-0.961498\pi$
$503$	−29.0508	+	18.6698i	−1.29531	+	0.832447i	−0.302620	+	0.953111i	$0.597861\pi$
$504$	1.87864	+	0.910355i	0.0836814	+	0.0405505i
$505$		−	44.6544i		−	1.98710i
$506$	5.60793	−	31.6259i	0.249303	−	1.40594i
$507$			16.7484i			0.743822i
$508$	8.70321	+	5.20306i	0.386142	+	0.230848i
$509$	−25.6295	+	16.4711i	−1.13601	+	0.730068i	−0.966806	−	0.255513i	$-0.917756\pi$
$509$	−25.6295	+	16.4711i	−1.13601	+	0.730068i	−0.169203	+	0.985581i	$0.554119\pi$
$510$	1.73357	+	7.39101i	0.0767639	+	0.327280i
$511$	1.29389	+	2.83323i	0.0572384	+	0.125335i
$512$	−18.0750	+	13.6123i	−0.798808	+	0.601586i
$513$	0.367390	+	1.25122i	0.0162207	+	0.0552426i
$514$	−10.0791	+	19.1907i	−0.444571	+	0.846464i
$515$	26.8630	+	12.2679i	1.18373	+	0.540589i
$516$	2.28484	−	20.6071i	0.100584	−	0.907179i
$517$	10.1088	−	8.75929i	0.444583	−	0.385233i
$518$	−2.21865	−	2.14796i	−0.0974817	−	0.0943758i
$519$	−3.92578	+	13.3700i	−0.172323	+	0.586877i
$520$	9.82939	−	58.7991i	0.431047	−	2.57851i
$521$	−21.6151	+	33.6337i	−0.946975	+	1.47352i	−0.0674191	+	0.997725i	$0.521476\pi$
$521$	−21.6151	+	33.6337i	−0.946975	+	1.47352i	−0.879555	+	0.475796i	$0.842160\pi$
$522$	4.69069	+	11.9803i	0.205306	+	0.524363i
$523$	−2.41575	+	16.8019i	−0.105633	+	0.734696i	0.866314	+	0.499499i	$0.166483\pi$
$523$	−2.41575	+	16.8019i	−0.105633	+	0.734696i	−0.971948	+	0.235197i	$0.924427\pi$
$524$	−28.6968	+	19.7834i	−1.25363	+	0.864244i
$525$	7.25697	−	1.04339i	0.316720	−	0.0455375i
$526$	−0.227570	−	0.293957i	−0.00992253	−	0.0128171i
$527$	−1.83452	+	2.11715i	−0.0799131	+	0.0922246i
$528$	6.50168	+	17.7922i	0.282949	+	0.774304i
$529$	19.8890	+	11.5511i	0.864738	+	0.502223i
$530$	−1.81265	−	20.6424i	−0.0787365	−	0.896650i
$531$	5.61060	+	4.86161i	0.243479	+	0.210976i
$532$	1.41322	−	1.30701i	0.0612709	−	0.0566661i
$533$	−0.804692	−	5.59676i	−0.0348551	−	0.242422i
$534$	20.1406	−	11.4247i	0.871570	−	0.494393i
$535$	49.6426	+	7.13752i	2.14624	+	0.308582i
$536$	−13.3868	−	21.9150i	−0.578223	−	0.946584i
$537$	13.7886	+	8.86138i	0.595021	+	0.382397i
$538$	−24.3482	−	8.63511i	−1.04973	−	0.372286i
$539$	29.3319	+	8.61263i	1.26341	+	0.370972i
$540$	6.00177	+	4.86953i	0.258275	+	0.209551i
$541$	−7.00578	−	8.08510i	−0.301202	−	0.347606i	0.584892	−	0.811111i	$-0.301137\pi$
$541$	−7.00578	−	8.08510i	−0.301202	−	0.347606i	−0.886094	+	0.463506i	$0.846591\pi$
$542$	20.0465	+	4.02215i	0.861069	+	0.172766i
$543$	0.297566	−	0.651579i	0.0127698	−	0.0279619i
$544$	7.78836	+	1.04409i	0.333923	+	0.0447648i
$545$	56.2447	−	16.5149i	2.40926	−	0.707422i
$546$	−0.314170	+	5.68441i	−0.0134452	+	0.243270i
$547$	−13.5889	+	6.20584i	−0.581020	+	0.265343i	−0.684169	−	0.729323i	$-0.739835\pi$
$547$	−13.5889	+	6.20584i	−0.581020	+	0.265343i	0.103150	+	0.994666i	$0.467108\pi$
$548$	−2.85318	+	0.939102i	−0.121882	+	0.0401164i
$549$	0.192867	+	0.300107i	0.00823137	+	0.0128083i
$550$	53.8960	+	39.0009i	2.29813	+	1.66300i
$551$	11.8635			0.505403
$552$	−13.5647	−	0.00437410i	−0.577350	−	0.000186174i
$553$	−6.04161			−0.256916
$554$	−15.2971	−	11.0695i	−0.649911	−	0.470297i
$555$	−6.18099	−	9.61780i	−0.262368	−	0.408253i
$556$	−26.4356	+	8.70108i	−1.12112	+	0.369008i
$557$	−7.41189	+	3.38490i	−0.314052	+	0.143423i	−0.566205	−	0.824265i	$-0.691589\pi$
$557$	−7.41189	+	3.38490i	−0.314052	+	0.143423i	0.252153	+	0.967687i	$0.418862\pi$
$558$	−0.157386	+	2.84766i	−0.00666269	+	0.120551i
$559$	54.2519	−	15.9298i	2.29461	−	0.673758i
$560$	2.49920	−	11.1317i	0.105611	−	0.470400i
$561$	2.73280	−	5.98399i	0.115379	−	0.252644i
$562$	13.6116	+	2.73105i	0.574170	+	0.115202i
$563$	6.62208	+	7.64229i	0.279088	+	0.322084i	0.877936	−	0.478778i	$-0.158920\pi$
$563$	6.62208	+	7.64229i	0.279088	+	0.322084i	−0.598848	+	0.800862i	$0.704375\pi$
$564$	−4.38666	−	3.55912i	−0.184712	−	0.149866i
$565$	65.3354	+	19.1842i	2.74868	+	0.807086i
$566$	9.34240	+	3.31329i	0.392690	+	0.139268i
$567$	−0.620909	−	0.399034i	−0.0260757	−	0.0167579i
$568$	19.3358	−	11.8113i	0.811314	−	0.495593i
$569$	−21.1925	−	3.04702i	−0.888437	−	0.127738i	−0.317040	−	0.948412i	$-0.602689\pi$
$569$	−21.1925	−	3.04702i	−0.888437	−	0.127738i	−0.571396	+	0.820674i	$0.693598\pi$
$570$	6.19880	−	3.51623i	0.259639	−	0.147279i
$571$	0.460256	+	3.20115i	0.0192611	+	0.133964i	0.997183	−	0.0750067i	$-0.0238978\pi$
$571$	0.460256	+	3.20115i	0.0192611	+	0.133964i	−0.977922	+	0.208971i	$0.932989\pi$
$572$	−37.9259	+	35.0756i	−1.58576	+	1.46658i
$573$	−9.91697	−	8.59310i	−0.414287	−	0.358982i
$574$	−0.0946562	−	1.07794i	−0.00395087	−	0.0449925i
$575$	−39.4864	+	26.6512i	−1.64670	+	1.11143i
$576$	6.92049	−	4.01333i	0.288354	−	0.167222i
$577$	−20.7222	+	23.9147i	−0.862677	+	0.995583i	0.137310	+	0.990528i	$0.456154\pi$
$577$	−20.7222	+	23.9147i	−0.862677	+	0.995583i	−0.999987	+	0.00505451i	$0.998391\pi$
$578$	13.0467	+	16.8527i	0.542672	+	0.700981i
$579$	7.09426	−	1.02000i	0.294827	−	0.0423898i
$580$	57.8892	−	39.9085i	2.40372	−	1.65711i
$581$	0.508464	−	3.53644i	0.0210946	−	0.146716i
$582$	−4.48080	−	11.4442i	−0.185735	−	0.474378i
$583$	−9.70799	+	15.1059i	−0.402064	+	0.625624i
$584$	11.7727	+	1.96802i	0.487156	+	0.0814374i
$585$	−5.93811	+	20.2233i	−0.245511	+	0.836132i
$586$	−2.70635	−	2.62013i	−0.111798	−	0.108236i
$587$	5.80437	−	5.02951i	0.239572	−	0.207590i	−0.526797	−	0.849991i	$-0.676607\pi$
$587$	5.80437	−	5.02951i	0.239572	−	0.207590i	0.766369	+	0.642401i	$0.222062\pi$
$588$	1.42274	−	12.8319i	0.0586730	−	0.529177i
$589$	2.39217	+	1.09247i	0.0985675	+	0.0450143i
$590$	18.8651	−	35.9192i	0.776665	−	1.47877i
$591$	−6.27423	−	21.3681i	−0.258087	−	0.878965i
$592$	−11.5800	+	2.43853i	−0.475934	+	0.100223i
$593$	−4.16112	−	9.11157i	−0.170877	−	0.374168i	0.804747	−	0.593618i	$-0.202301\pi$
$593$	−4.16112	−	9.11157i	−0.170877	−	0.374168i	−0.975624	+	0.219450i	$0.929574\pi$
$594$	−1.52936	−	6.52036i	−0.0627504	−	0.267534i
$595$	−3.33308	+	2.14204i	−0.136643	+	0.0878152i
$596$	17.8748	+	10.6861i	0.732181	+	0.437721i
$597$		−	7.61125i		−	0.311508i
$598$	−14.2589	−	34.1337i	−0.583089	−	1.39583i
$599$		−	25.8810i		−	1.05747i	−0.848788	−	0.528734i	$-0.822667\pi$
$599$		−	25.8810i		−	1.05747i	0.848788	−	0.528734i	$-0.177333\pi$
$600$	12.2520	−	25.2837i	0.500186	−	1.03220i
$601$	12.0619	−	7.75168i	0.492013	−	0.316198i	−0.271001	−	0.962579i	$-0.587355\pi$
$601$	12.0619	−	7.75168i	0.492013	−	0.316198i	0.763015	+	0.646381i	$0.223718\pi$
$602$	10.5348	−	2.47096i	0.429368	−	0.100709i
$603$	3.77169	+	8.25886i	0.153595	+	0.336327i
$604$	−15.0653	+	0.487904i	−0.612997	+	0.0198525i
$605$	−12.4408	−	42.3696i	−0.505792	−	1.72257i
$606$	14.4678	+	7.59861i	0.587712	+	0.308672i
$607$	41.2752	+	18.8497i	1.67531	+	0.765087i	0.999611	+	0.0279078i	$0.00888447\pi$
$607$	41.2752	+	18.8497i	1.67531	+	0.765087i	0.675697	+	0.737180i	$0.263843\pi$
$608$	−1.11941	−	7.29133i	−0.0453981	−	0.295703i
$609$	−5.07461	+	4.39717i	−0.205633	+	0.178182i
$610$	1.35608	−	1.40070i	0.0549059	−	0.0567129i
$611$	4.34013	−	14.7811i	0.175583	−	0.597981i
$612$	−2.68964	−	0.696023i	−0.108722	−	0.0281351i
$613$	−6.96264	+	10.8341i	−0.281218	+	0.437584i	−0.952913	−	0.303244i	$-0.901930\pi$
$613$	−6.96264	+	10.8341i	−0.281218	+	0.437584i	0.671695	+	0.740828i	$0.265567\pi$
$614$	−3.01794	+	1.18163i	−0.121794	+	0.0476865i
$615$	0.570134	−	3.96537i	0.0229900	−	0.159899i
$616$	−7.61743	+	6.30182i	−0.306915	+	0.253907i
$617$	−22.7310	+	3.26822i	−0.915116	+	0.131574i	−0.583754	−	0.811930i	$-0.698417\pi$
$617$	−22.7310	+	3.26822i	−0.915116	+	0.131574i	−0.331361	+	0.943504i	$0.607508\pi$
$618$	−8.54587	+	6.61588i	−0.343765	+	0.266130i
$619$	0.869358	−	1.00329i	0.0349425	−	0.0403257i	−0.738009	−	0.674791i	$-0.764234\pi$
$619$	0.869358	−	1.00329i	0.0349425	−	0.0403257i	0.772952	+	0.634465i	$0.218779\pi$
$620$	15.3478	−	2.71639i	0.616383	−	0.109093i
$621$	4.76118	+	0.575474i	0.191060	+	0.0230930i
$622$	15.0168	−	1.31865i	0.602118	−	0.0528731i
$623$	9.13301	+	7.91380i	0.365906	+	0.317060i
$624$	17.3779	+	13.1902i	0.695674	+	0.528031i
$625$	−3.41631	−	23.7609i	−0.136652	−	0.950438i
$626$	−1.48688	−	2.62123i	−0.0594277	−	0.104766i
$627$	−6.11270	−	0.878874i	−0.244118	−	0.0350989i
$628$	12.0297	+	24.2333i	0.480037	+	0.967012i
$629$	3.45729	+	2.22186i	0.137851	+	0.0885915i
$630$	−1.34825	+	3.80162i	−0.0537155	+	0.151460i
$631$	−11.8818	−	3.48880i	−0.473005	−	0.138887i	0.0365374	−	0.999332i	$-0.488367\pi$
$631$	−11.8818	−	3.48880i	−0.473005	−	0.138887i	−0.509543	+	0.860445i	$0.670185\pi$
$632$	−12.9587	+	19.1862i	−0.515468	+	0.763184i
$633$	−15.6801	−	18.0957i	−0.623226	−	0.719241i
$634$	−3.09370	+	15.4191i	−0.122867	+	0.612370i
$635$	−8.13889	+	17.8217i	−0.322982	+	0.707232i
$636$	6.99647	+	2.92533i	0.277428	+	0.115997i
$637$	33.7821	−	9.91931i	1.33849	−	0.393017i
$638$	−60.8362	−	3.36233i	−2.40853	−	0.133116i
$639$	−7.28687	+	3.32780i	−0.288264	+	0.131646i
$640$	−29.9901	−	31.8130i	−1.18546	−	1.25752i
$641$	−2.31000	−	3.59444i	−0.0912397	−	0.141972i	0.792633	−	0.609699i	$-0.208709\pi$
$641$	−2.31000	−	3.59444i	−0.0912397	−	0.141972i	−0.883873	+	0.467727i	$0.845073\pi$
$642$	−10.7599	+	14.8693i	−0.424661	+	0.586846i
$643$	−40.0807			−1.58063			−0.790314	−	0.612702i	$-0.790083\pi$
$643$	−40.0807			−1.58063			−0.790314	+	0.612702i	$0.790083\pi$
$644$	−2.36415	−	6.67296i	−0.0931604	−	0.262951i
$645$	40.0609			1.57739
$646$	−1.50183	+	2.07541i	−0.0590887	+	0.0816557i
$647$	2.55194	+	3.97089i	0.100327	+	0.156112i	0.887788	−	0.460253i	$-0.152241\pi$
$647$	2.55194	+	3.97089i	0.100327	+	0.156112i	−0.787461	+	0.616365i	$0.788605\pi$
$648$	−2.59899	+	1.11591i	−0.102098	+	0.0438372i
$649$	−31.9803	+	14.6049i	−1.25534	+	0.573294i
$650$	76.5036	+	4.22825i	3.00072	+	0.165846i
$651$	−1.42816	+	0.419347i	−0.0559741	+	0.0164355i
$652$	4.40448	−	10.5342i	0.172493	−	0.412549i
$653$	9.25828	−	20.2728i	0.362304	−	0.793336i	−0.637435	−	0.770504i	$-0.720005\pi$
$653$	9.25828	−	20.2728i	0.362304	−	0.793336i	0.999739	−	0.0228317i	$-0.00726817\pi$
$654$	−4.22013	+	21.0332i	−0.165020	+	0.822463i
$655$	−44.1029	−	50.8974i	−1.72324	−	1.98873i
$656$	−3.62622	−	2.01149i	−0.141580	−	0.0785353i
$657$	−4.04908	−	1.18892i	−0.157970	−	0.0463841i
$658$	0.985427	−	2.77859i	0.0384160	−	0.108321i
$659$	27.9031	+	17.9322i	1.08695	+	0.698540i	0.956153	−	0.292869i	$-0.0946100\pi$
$659$	27.9031	+	17.9322i	1.08695	+	0.698540i	0.130797	+	0.991409i	$0.458246\pi$
$660$	−32.7840	+	16.2744i	−1.27612	+	0.633480i
$661$	40.9659	+	5.89001i	1.59339	+	0.229095i	0.881148	−	0.472841i	$-0.156771\pi$
$661$	40.9659	+	5.89001i	1.59339	+	0.229095i	0.712240	+	0.701936i	$0.247681\pi$
$662$	−5.73124	−	10.1037i	−0.222751	−	0.392690i
$663$	−1.07825	−	7.49942i	−0.0418759	−	0.291253i
$664$	−10.1400	−	9.20004i	−0.393507	−	0.357031i
$665$	2.81092	+	2.43568i	0.109003	+	0.0944515i
$666$	4.16789	−	0.365991i	0.161503	−	0.0141818i
$667$	17.2266	−	40.0854i	0.667015	−	1.55211i
$668$	1.50212	+	8.48711i	0.0581188	+	0.328376i
$669$	12.8707	−	14.8535i	0.497608	−	0.574271i
$670$	39.2356	−	30.3747i	1.51580	−	1.17348i
$671$	−1.67222	+	0.240428i	−0.0645552	+	0.00928164i
$672$	3.18133	+	2.70395i	0.122722	+	0.104307i
$673$	−3.56883	+	24.8218i	−0.137568	+	0.956809i	0.797747	+	0.602993i	$0.206025\pi$
$673$	−3.56883	+	24.8218i	−0.137568	+	0.956809i	−0.935315	+	0.353816i	$0.884884\pi$
$674$	24.7893	−	9.70585i	0.954849	−	0.373855i
$675$	−5.37040	+	8.35650i	−0.206707	+	0.321642i
$676$	−8.39185	+	32.4286i	−0.322764	+	1.24725i
$677$	−10.7059	+	36.4609i	−0.411460	+	1.40131i	0.449795	+	0.893132i	$0.351497\pi$
$677$	−10.7059	+	36.4609i	−0.411460	+	1.40131i	−0.861255	+	0.508173i	$0.830321\pi$
$678$	−17.3334	+	17.9038i	−0.665684	+	0.687592i
$679$	4.84754	−	4.20041i	0.186031	−	0.161197i
$680$	−0.346720	+	15.1792i	−0.0132961	+	0.582097i
$681$	−6.94194	−	3.17028i	−0.266016	−	0.121485i
$682$	−11.9574	−	6.28015i	−0.457873	−	0.240479i
$683$	7.44187	+	25.3447i	0.284755	+	0.969787i	0.970330	+	0.241785i	$0.0777328\pi$
$683$	7.44187	+	25.3447i	0.284755	+	0.969787i	−0.685575	+	0.728002i	$0.740449\pi$
$684$	0.0844211	+	2.60671i	0.00322792	+	0.0996701i
$685$	−2.41099	−	5.27933i	−0.0921192	−	0.201713i
$686$	13.6735	−	3.20713i	0.522055	−	0.122449i
$687$	−1.13407	+	0.728824i	−0.0432675	+	0.0278064i
$688$	14.7492	−	38.7551i	0.562309	−	1.47752i
$689$			20.6808i			0.787874i
$690$	−2.87990	−	26.0508i	−0.109636	−	0.991735i
$691$		−	25.3167i		−	0.963091i	−0.876421	−	0.481546i	$-0.840076\pi$
$691$		−	25.3167i		−	0.963091i	0.876421	−	0.481546i	$-0.159924\pi$
$692$	−14.3003	+	23.9202i	−0.543614	+	0.909309i
$693$	2.94045	−	1.88971i	0.111698	−	0.0717843i
$694$	−3.69839	−	15.7679i	−0.140389	−	0.598542i
$695$	−22.3386	−	48.9147i	−0.847351	−	1.85544i
$696$	3.07943	+	25.5468i	0.116725	+	0.968348i
$697$	0.405718	+	1.38175i	0.0153677	+	0.0523374i
$698$	5.50102	−	10.4740i	0.208217	−	0.396445i
$699$	14.1525	+	6.46322i	0.535295	+	0.244461i
$700$	14.5739	+	1.61589i	0.550841	+	0.0610750i
$701$	33.9613	−	29.4276i	1.28270	−	1.11147i	0.294935	−	0.955517i	$-0.404702\pi$
$701$	33.9613	−	29.4276i	1.28270	−	1.11147i	0.987765	−	0.155948i	$-0.0498433\pi$
$702$	−5.54178	−	5.36521i	−0.209161	−	0.202497i
$703$	1.08692	−	3.70171i	0.0409939	−	0.139613i
$704$	3.67384	+	37.7072i	0.138463	+	1.42114i
$705$	5.90095	−	9.18206i	0.222243	−	0.345817i
$706$	10.6871	+	27.2956i	0.402216	+	1.02728i
$707$	−1.21377	+	8.44196i	−0.0456485	+	0.317492i
$708$	8.42742	+	12.2244i	0.316722	+	0.459420i
$709$	−14.6875	+	2.11175i	−0.551601	+	0.0793083i	−0.412479	−	0.910967i	$-0.635337\pi$
$709$	−14.6875	+	2.11175i	−0.551601	+	0.0793083i	−0.139122	+	0.990275i	$0.544428\pi$
$710$	26.7999	+	34.6179i	1.00578	+	1.29919i
$711$	5.36044	−	6.18628i	0.201032	−	0.232004i
$712$	44.7210	−	12.0291i	1.67599	−	0.450809i
$713$	7.16488	−	6.49651i	0.268327	−	0.243296i
$714$	−0.126835	−	1.44440i	−0.00474669	−	0.0540553i
$715$	−75.4353	−	65.3651i	−2.82112	−	2.44452i
$716$	22.2577	+	24.0664i	0.831808	+	0.899403i
$717$	−4.19711	−	29.1915i	−0.156744	−	1.09018i
$718$	−29.6719	+	16.8312i	−1.10735	+	0.628135i
$719$	−13.3986	−	1.92642i	−0.499683	−	0.0718435i	−0.112135	−	0.993693i	$-0.535769\pi$
$719$	−13.3986	−	1.92642i	−0.499683	−	0.0718435i	−0.387548	+	0.921850i	$0.626678\pi$
$720$	9.18083	+	12.4357i	0.342150	+	0.463451i
$721$	−4.74501	−	3.04944i	−0.176714	−	0.113567i
$722$	−23.0580	−	8.17754i	−0.858130	−	0.304336i
$723$	8.91437	+	2.61749i	0.331529	+	0.0973457i
$724$	0.902630	−	1.11250i	0.0335460	−	0.0413459i
$725$	59.1793	+	68.2965i	2.19786	+	2.53647i
$726$	15.8445	+	3.17906i	0.588044	+	0.117986i
$727$	−20.1656	+	44.1565i	−0.747901	+	1.63767i	0.0222011	+	0.999754i	$0.492933\pi$
$727$	−20.1656	+	44.1565i	−0.747901	+	1.63767i	−0.770102	+	0.637921i	$0.779795\pi$
$728$	−3.45650	+	10.8489i	−0.128106	+	0.402085i
$729$	0.959493	−	0.281733i	0.0355368	−	0.0104345i
$730$	−1.27270	+	23.0275i	−0.0471047	+	0.852286i
$731$	−13.0992	+	5.98222i	−0.484492	+	0.221260i
$732$	0.223063	+	0.677711i	0.00824466	+	0.0250489i
$733$	−21.2492	−	33.0644i	−0.784858	−	1.22126i	−0.971080	−	0.238755i	$-0.923261\pi$
$733$	−21.2492	−	33.0644i	−0.784858	−	1.22126i	0.186222	−	0.982508i	$-0.440376\pi$
$734$	−35.3336	−	25.5686i	−1.30419	−	0.943753i
$735$	24.9455			0.920128
$736$	−26.2620	−	6.80510i	−0.968029	−	0.250839i
$737$	−42.9972			−1.58382
$738$	1.18774	+	0.859487i	0.0437213	+	0.0316381i
$739$	11.7989	+	18.3594i	0.434028	+	0.675361i	0.987520	−	0.157494i	$-0.0503414\pi$
$739$	11.7989	+	18.3594i	0.434028	+	0.675361i	−0.553492	+	0.832855i	$0.686705\pi$
$740$	−7.14870	−	21.7192i	−0.262792	−	0.798413i
$741$	−6.46976	+	2.95464i	−0.237673	+	0.108541i
$742$	−0.218407	+	3.95174i	−0.00801798	+	0.145073i
$743$	20.1787	−	5.92500i	0.740284	−	0.217367i	0.110217	−	0.993908i	$-0.464845\pi$
$743$	20.1787	−	5.92500i	0.740284	−	0.217367i	0.630067	+	0.776541i	$0.283027\pi$
$744$	−1.73156	+	5.43483i	−0.0634822	+	0.199251i
$745$	−16.7158	+	36.6025i	−0.612420	+	1.34101i
$746$	−7.72453	−	1.54986i	−0.282815	−	0.0567444i
$747$	3.16999	+	3.65836i	0.115984	+	0.133852i
$748$	8.28959	−	10.2170i	0.303098	−	0.373572i
$749$	−9.19096	−	2.69871i	−0.335831	−	0.0986087i
$750$	25.4105	+	9.01185i	0.927861	+	0.329066i
$751$	−10.0853	−	6.48143i	−0.368018	−	0.236511i	0.343540	−	0.939138i	$-0.388374\pi$
$751$	−10.0853	−	6.48143i	−0.368018	−	0.236511i	−0.711558	+	0.702627i	$0.752010\pi$
$752$	−6.71023	−	9.08919i	−0.244697	−	0.331449i
$753$	10.1541	+	1.45994i	0.370036	+	0.0532031i
$754$	−61.0370	+	34.6229i	−2.22283	+	1.26089i
$755$	−4.14480	−	28.8277i	−0.150845	−	1.04915i
$756$	−1.00228	−	1.08373i	−0.0364525	−	0.0394147i
$757$	−2.02159	−	1.75172i	−0.0734759	−	0.0636672i	0.617349	−	0.786690i	$-0.288207\pi$
$757$	−2.02159	−	1.75172i	−0.0734759	−	0.0636672i	−0.690824	+	0.723023i	$0.742752\pi$
$758$	1.74286	+	19.8476i	0.0633035	+	0.720899i
$759$	−11.8456	+	19.3779i	−0.429969	+	0.703373i
$760$	13.7641	−	3.70227i	0.499275	−	0.134295i
$761$	−13.2358	+	15.2749i	−0.479796	+	0.553714i	−0.943110	−	0.332480i	$-0.892115\pi$
$761$	−13.2358	+	15.2749i	−0.479796	+	0.553714i	0.463314	+	0.886194i	$0.346660\pi$
$762$	−4.38916	−	5.66957i	−0.159003	−	0.205387i
$763$	−11.0820	+	1.59335i	−0.401196	+	0.0576833i
$764$	−14.8958	−	21.6071i	−0.538912	−	0.781716i
$765$	0.763956	−	5.31343i	0.0276209	−	0.192108i
$766$	16.3089	+	41.6539i	0.589265	+	1.50502i
$767$	−21.8913	+	34.0636i	−0.790450	+	1.22996i
$768$	15.4105	−	4.30314i	0.556078	−	0.155276i
$769$	1.29754	−	4.41900i	0.0467903	−	0.159353i	−0.932784	−	0.360436i	$-0.882628\pi$
$769$	1.29754	−	4.41900i	0.0467903	−	0.159353i	0.979574	+	0.201083i	$0.0644461\pi$
$770$	−13.7241	−	13.2868i	−0.494582	−	0.478824i
$771$	11.5838	−	10.0374i	0.417181	−	0.361490i
$772$	14.2471	+	1.57966i	0.512765	+	0.0568533i
$773$	27.3158	+	12.4747i	0.982483	+	0.448685i	0.840870	−	0.541237i	$-0.182044\pi$
$773$	27.3158	+	12.4747i	0.982483	+	0.448685i	0.141613	+	0.989922i	$0.454771\pi$
$774$	−6.81694	+	12.9795i	−0.245030	+	0.466537i
$775$	5.64377	+	19.2209i	0.202730	+	0.690436i
$776$	−2.94163	−	24.4036i	−0.105598	−	0.876040i
$777$	0.907095	+	1.98626i	0.0325419	+	0.0712567i
$778$	0.979079	+	4.17426i	0.0351017	+	0.149654i
$779$	1.13727	−	0.730882i	0.0407471	−	0.0261866i
$780$	−21.6305	+	36.1815i	−0.774495	+	1.29551i
$781$		−	37.9369i		−	1.35749i
$782$	4.83179	+	8.08811i	0.172785	+	0.289230i
$783$		−	9.09753i		−	0.325119i
$784$	9.18420	−	24.1324i	0.328007	−	0.861872i
$785$	−43.9765	+	28.2620i	−1.56959	+	1.00871i
$786$	23.9952	−	5.62811i	0.855881	−	0.200748i
$787$	0.360034	+	0.788364i	0.0128338	+	0.0281022i	0.915940	−	0.401314i	$-0.131447\pi$
$787$	0.360034	+	0.788364i	0.0128338	+	0.0281022i	−0.903107	+	0.429417i	$0.858719\pi$
$788$	−1.44173	−	44.5170i	−0.0513595	−	1.58585i
$789$	0.0740584	+	0.252220i	0.00263655	+	0.00897926i
$790$	−39.6047	−	20.8008i	−1.40907	−	0.740059i
$791$	−11.8303	−	5.40270i	−0.420636	−	0.192098i
$792$	0.305877	−	13.3911i	0.0108688	−	0.475834i
$793$	−1.47048	+	1.27418i	−0.0522183	+	0.0452474i
$794$	−13.0599	+	13.4897i	−0.463479	+	0.478732i
$795$	−4.12811	+	14.0590i	−0.146409	+	0.498623i
$796$	3.81365	−	14.7371i	0.135171	−	0.522341i
$797$	17.1451	−	26.6783i	0.607311	−	0.944994i	−0.392372	−	0.919807i	$-0.628345\pi$
$797$	17.1451	−	26.6783i	0.607311	−	0.944994i	0.999683	−	0.0251871i	$-0.00801815\pi$
$798$	−1.26746	+	0.496255i	−0.0448678	+	0.0175672i
$799$	−0.558372	+	3.88356i	−0.0197538	+	0.137390i
$800$	36.3911	−	42.8159i	1.28662	−	1.51377i
$801$	−16.2066	+	2.33016i	−0.572632	+	0.0823321i
$802$	13.3158	−	10.3086i	0.470197	−	0.364008i
$803$	13.0873	−	15.1035i	0.461840	−	0.532992i
$804$	3.16469	+	17.8808i	0.111610	+	0.630606i
$805$	12.3115	−	5.96101i	0.433923	−	0.210098i
$806$	−15.4958	+	1.36071i	−0.545816	+	0.0479291i
$807$	13.8056	+	11.9627i	0.485982	+	0.421105i
$808$	24.2054	+	21.9617i	0.851544	+	0.772610i
$809$	4.29968	+	29.9049i	0.151169	+	1.05140i	0.914265	+	0.405116i	$0.132769\pi$
$809$	4.29968	+	29.9049i	0.151169	+	1.05140i	−0.763097	+	0.646285i	$0.776322\pi$
$810$	−2.69642	−	4.75354i	−0.0947424	−	0.167022i
$811$	−43.0719	−	6.19280i	−1.51246	−	0.217459i	−0.664406	−	0.747372i	$-0.731315\pi$
$811$	−43.0719	−	6.19280i	−1.51246	−	0.217459i	−0.848052	+	0.529914i	$0.822224\pi$
$812$	−12.0288	+	5.97124i	−0.422127	+	0.209549i
$813$	−12.1624	−	7.81631i	−0.426554	−	0.274130i
$814$	−6.62285	+	18.6743i	−0.232131	+	0.654534i
$815$	21.1678	+	6.21544i	0.741477	+	0.217717i
$816$	−4.85898	−	2.69531i	−0.170098	−	0.0943546i
$817$	8.85280	+	10.2167i	0.309720	+	0.357436i
$818$	7.21594	−	35.9644i	0.252299	−	1.25746i
$819$	1.67230	−	3.66183i	0.0584350	−	0.127955i
$820$	3.09077	−	7.39216i	0.107934	−	0.258145i
$821$	43.9421	−	12.9026i	1.53359	−	0.450302i	0.597442	−	0.801912i	$-0.296184\pi$
$821$	43.9421	−	12.9026i	1.53359	−	0.450302i	0.936147	+	0.351610i	$0.114366\pi$
$822$	2.12074	+	0.117210i	0.0739692	+	0.00408818i
$823$	45.5144	−	20.7857i	1.58653	−	0.724545i	0.589973	−	0.807423i	$-0.299138\pi$
$823$	45.5144	−	20.7857i	1.58653	−	0.724545i	0.996560	+	0.0828772i	$0.0264109\pi$
$824$	−19.8616	+	8.52785i	−0.691911	+	0.297082i
$825$	−25.4327	−	39.5740i	−0.885453	−	1.37779i
$826$	−4.54280	+	6.27778i	−0.158064	+	0.218432i
$827$	18.7402			0.651660			0.325830	−	0.945428i	$-0.394356\pi$
$827$	18.7402			0.651660			0.325830	+	0.945428i	$0.394356\pi$
$828$	8.93034	+	3.49985i	0.310351	+	0.121628i
$829$	−0.785955			−0.0272974			−0.0136487	−	0.999907i	$-0.504345\pi$
$829$	−0.785955			−0.0272974			−0.0136487	+	0.999907i	$0.504345\pi$
$830$	15.5088	−	21.4319i	0.538320	−	0.743913i
$831$	7.21846	+	11.2321i	0.250405	+	0.389639i
$832$	27.0385	+	34.2464i	0.937391	+	1.18728i
$833$	−8.15676	+	3.72507i	−0.282615	+	0.129066i
$834$	19.6493	+	1.08599i	0.680400	+	0.0376048i
$835$	−15.9790	+	4.69185i	−0.552975	+	0.162368i
$836$	−11.3952	−	4.76449i	−0.394110	−	0.164783i
$837$	0.837755	−	1.83443i	0.0289571	−	0.0634071i
$838$	10.8943	−	54.2973i	0.376336	−	1.87567i
$839$	−22.6767	−	26.1703i	−0.782886	−	0.903499i	0.214428	−	0.976740i	$-0.431211\pi$
$839$	−22.6767	−	26.1703i	−0.782886	−	0.903499i	−0.997314	+	0.0732407i	$0.976666\pi$
$840$	−4.51532	+	6.68523i	−0.155793	+	0.230662i
$841$	−51.5871	−	15.1474i	−1.77887	−	0.522322i
$842$	7.72584	−	21.7844i	0.266250	−	0.750739i
$843$	−8.25831	−	5.30729i	−0.284431	−	0.182793i
$844$	−21.2931	−	42.8939i	−0.732938	−	1.47647i
$845$	−64.0633	−	9.21091i	−2.20384	−	0.316865i
$846$	1.97080	+	3.47434i	0.0677574	+	0.119450i
$847$	1.20029	+	8.34817i	0.0412423	+	0.286847i
$848$	12.0810	+	9.16968i	0.414862	+	0.314888i
$849$	−5.29721	−	4.59006i	−0.181800	−	0.157531i
$850$	−19.4394	+	1.70701i	−0.666767	+	0.0585501i
$851$	−10.9293	−	9.04767i	−0.374653	−	0.310150i
$852$	−15.7764	+	2.79224i	−0.540490	+	0.0956605i
$853$	−14.2446	+	16.4392i	−0.487726	+	0.562866i	−0.945257	−	0.326328i	$-0.894189\pi$
$853$	−14.2446	+	16.4392i	−0.487726	+	0.562866i	0.457530	+	0.889194i	$0.348734\pi$
$854$	−0.294440	+	0.227944i	−0.0100755	+	0.00780009i
$855$	−4.98800	+	0.717167i	−0.170586	+	0.0245266i
$856$	−28.2839	+	23.3990i	−0.966725	+	0.799761i
$857$	−0.719481	+	5.00410i	−0.0245770	+	0.170937i	−0.998413	−	0.0563148i	$-0.982065\pi$
$857$	−0.719481	+	5.00410i	−0.0245770	+	0.170937i	0.973836	+	0.227252i	$0.0729740\pi$
$858$	34.0143	−	13.3178i	1.16123	−	0.454661i
$859$	13.1331	−	20.4356i	0.448097	−	0.697252i	−0.541567	−	0.840657i	$-0.682169\pi$
$859$	13.1331	−	20.4356i	0.448097	−	0.697252i	0.989664	+	0.143405i	$0.0458052\pi$
$860$	77.5666	+	20.0727i	2.64500	+	0.684472i
$861$	−0.215569	+	0.734160i	−0.00734657	+	0.0250201i
$862$	−25.5540	+	26.3950i	−0.870373	+	0.899017i
$863$	−34.9203	+	30.2586i	−1.18870	+	1.03001i	−0.189863	+	0.981811i	$0.560804\pi$
$863$	−34.9203	+	30.2586i	−1.18870	+	1.03001i	−0.998838	+	0.0482040i	$0.984650\pi$
$864$	−5.59134	+	0.858417i	−0.190221	+	0.0292039i
$865$	−48.9817	−	22.3692i	−1.66543	−	0.760576i
$866$	0.771355	+	0.405123i	0.0262117	+	0.0137667i
$867$	−4.24581	−	14.4599i	−0.144195	−	0.491084i
$868$	−2.97535	+	0.0963599i	−0.100990	+	0.00327067i
$869$	16.1035	+	35.2617i	0.546273	+	1.19617i
$870$	−48.4048	+	11.3534i	−1.64108	+	0.384917i
$871$	−41.6594	+	26.7729i	−1.41157	+	0.907164i
$872$	−18.7099	+	38.6104i	−0.633596	+	1.30751i
$873$			8.69045i			0.294127i
$874$	6.00728	−	6.49125i	0.203199	−	0.219570i
$875$			14.0710i			0.475687i
$876$	−7.24420	−	4.33081i	−0.244759	−	0.146325i
$877$	27.8234	−	17.8810i	0.939529	−	0.603798i	0.0212676	−	0.999774i	$-0.493230\pi$
$877$	27.8234	−	17.8810i	0.939529	−	0.603798i	0.918261	+	0.395975i	$0.129593\pi$
$878$	−6.97562	−	29.7402i	−0.235416	−	1.00368i
$879$	1.10649	+	2.42289i	0.0373211	+	0.0817219i
$880$	−71.6314	+	15.0842i	−2.41469	+	0.508490i
$881$	1.26546	+	4.30975i	0.0426344	+	0.145199i	0.978060	−	0.208325i	$-0.0668013\pi$
$881$	1.26546	+	4.30975i	0.0426344	+	0.145199i	−0.935425	+	0.353525i	$0.884983\pi$
$882$	−4.24484	+	8.08218i	−0.142931	+	0.272141i
$883$	−10.6584	−	4.86752i	−0.358683	−	0.163805i	0.227920	−	0.973680i	$-0.426808\pi$
$883$	−10.6584	−	4.86752i	−0.358683	−	0.163805i	−0.586603	+	0.809875i	$0.699535\pi$
$884$	1.66988	−	15.0608i	0.0561641	−	0.506549i
$885$	−21.6815	+	18.7871i	−0.728814	+	0.631521i
$886$	25.3365	+	24.5293i	0.851197	+	0.824076i
$887$	−0.474797	+	1.61701i	−0.0159421	+	0.0542938i	−0.967080	−	0.254473i	$-0.918098\pi$
$887$	−0.474797	+	1.61701i	−0.0159421	+	0.0542938i	0.951138	+	0.308767i	$0.0999162\pi$
$888$	8.25334	+	1.37970i	0.276964	+	0.0462998i
$889$	2.02308	−	3.14798i	0.0678520	−	0.105580i
$890$	32.6233	+	83.3218i	1.09353	+	2.79295i
$891$	−0.673963	+	4.68752i	−0.0225786	+	0.157038i
$892$	32.3628	−	22.3108i	1.08359	−	0.747021i
$893$	3.64571	−	0.524173i	0.121999	−	0.0175408i
$894$	−9.01455	−	11.6443i	−0.301492	−	0.389443i
$895$	−41.4783	+	47.8685i	−1.38647	+	1.60007i
$896$	4.80492	+	6.82946i	0.160521	+	0.228156i
$897$	0.588893	+	26.1508i	0.0196626	+	0.873151i
$898$	0.381002	+	4.33884i	0.0127142	+	0.144789i
$899$	−13.8655	−	12.0145i	−0.462441	−	0.400708i
$900$	−14.5853	+	13.4892i	−0.486177	+	0.449639i
$901$	−0.749590	−	5.21351i	−0.0249725	−	0.173687i
$902$	−6.03909	+	3.42564i	−0.201080	+	0.114061i
$903$	−7.57354	−	1.08891i	−0.252032	−	0.0362367i
$904$	−42.5320	+	25.9807i	−1.41459	+	0.864107i
$905$	2.32867	+	1.49654i	0.0774075	+	0.0497468i
$906$	10.0453	+	3.56257i	0.333733	+	0.118358i
$907$	0.431934	+	0.126827i	0.0143421	+	0.00421123i	0.288896	−	0.957361i	$-0.406712\pi$
$907$	0.431934	+	0.126827i	0.0143421	+	0.00421123i	−0.274554	+	0.961572i	$0.588530\pi$
$908$	−11.8526	−	9.61664i	−0.393344	−	0.319140i
$909$	−7.56718	−	8.73299i	−0.250988	−	0.289655i
$910$	−21.5703	−	4.32790i	−0.715049	−	0.143468i
$911$	3.08805	−	6.76189i	0.102312	−	0.224031i	−0.851553	−	0.524269i	$-0.824339\pi$
$911$	3.08805	−	6.76189i	0.102312	−	0.224031i	0.953864	+	0.300238i	$0.0970659\pi$
$912$	−1.14265	+	5.08946i	−0.0378368	+	0.168529i
$913$	−21.9956	+	6.45850i	−0.727949	+	0.213745i
$914$	−0.165771	+	2.99936i	−0.00548321	+	0.0992101i
$915$	−1.25399	+	0.572679i	−0.0414557	+	0.0189322i
$916$	−2.56099	+	0.842931i	−0.0846175	+	0.0278512i
$917$	6.95422	+	10.8210i	0.229649	+	0.357340i
$918$	1.59152	+	1.15168i	0.0525280	+	0.0380110i
$919$	14.3772			0.474262			0.237131	−	0.971478i	$-0.423793\pi$
$919$	14.3772			0.474262			0.237131	+	0.971478i	$0.423793\pi$
$920$	7.47672	−	51.8830i	0.246500	−	1.71053i
$921$	2.29175			0.0755156
$922$	24.9513	+	18.0556i	0.821728	+	0.594629i
$923$	−23.6220	−	36.7565i	−0.777526	−	1.20985i
$924$	6.64020	−	2.18557i	0.218447	−	0.0719001i
$925$	26.7321	−	12.2081i	0.878946	−	0.401401i
$926$	2.06208	−	37.3102i	0.0677643	−	1.22609i
$927$	7.33249	−	2.15301i	0.240831	−	0.0707142i
$928$	−6.83787	+	51.0071i	−0.224464	+	1.67439i
$929$	15.1102	−	33.0866i	0.495748	−	1.08554i	−0.482080	−	0.876127i	$-0.660118\pi$
$929$	15.1102	−	33.0866i	0.495748	−	1.08554i	0.977828	−	0.209410i	$-0.0671543\pi$
$930$	−10.8059	−	2.16810i	−0.354338	−	0.0710948i
$931$	5.51255	+	6.36182i	0.180666	+	0.208500i
$932$	24.1639	+	19.6054i	0.791513	+	0.642195i
$933$	−10.2275	−	3.00308i	−0.334835	−	0.0983163i
$934$	2.30533	+	0.817587i	0.0754327	+	0.0267523i
$935$	21.3861	+	13.7440i	0.699399	+	0.449477i
$936$	−8.04184	−	13.1650i	−0.262856	−	0.430310i
$937$	−2.91655	−	0.419336i	−0.0952795	−	0.0136991i	0.0945102	−	0.995524i	$-0.469872\pi$
$937$	−2.91655	−	0.419336i	−0.0952795	−	0.0136991i	−0.189790	+	0.981825i	$0.560781\pi$
$938$	−8.24314	+	4.67588i	−0.269148	+	0.152673i
$939$	0.303262	+	2.10924i	0.00989659	+	0.0688323i
$940$	16.0263	−	14.8218i	0.522719	−	0.483434i
$941$	13.5420	+	11.7342i	0.441456	+	0.382523i	0.847036	−	0.531536i	$-0.178385\pi$
$941$	13.5420	+	11.7342i	0.441456	+	0.382523i	−0.405580	+	0.914060i	$0.632930\pi$
$942$	−1.67346	−	19.0573i	−0.0545242	−	0.620921i
$943$	−0.818171	−	4.90400i	−0.0266433	−	0.159696i
$944$	10.1923	+	27.8916i	0.331730	+	0.907796i
$945$	1.86779	−	2.15555i	0.0607594	−	0.0701201i
$946$	−42.5016	−	54.9001i	−1.38184	−	1.78496i
$947$	−20.6526	+	2.96940i	−0.671120	+	0.0964925i	−0.469447	−	0.882961i	$-0.655547\pi$
$947$	−20.6526	+	2.96940i	−0.671120	+	0.0964925i	−0.201673	+	0.979453i	$0.564638\pi$
$948$	13.4787	−	9.29213i	0.437766	−	0.301794i
$949$	3.27564	−	22.7826i	0.106332	−	0.739555i
$950$	6.67884	+	17.0582i	0.216690	+	0.553440i
$951$	6.01205	−	9.35493i	0.194954	−	0.303354i
$952$	0.478141	−	2.86022i	0.0154966	−	0.0927004i
$953$	−4.43593	+	15.1074i	−0.143694	+	0.489377i	−0.999615	−	0.0277290i	$-0.991172\pi$
$953$	−4.43593	+	15.1074i	−0.143694	+	0.489377i	0.855921	+	0.517106i	$0.172991\pi$
$954$	−3.85258	−	3.72983i	−0.124732	−	0.120758i
$955$	38.3229	−	33.2070i	1.24010	−	1.07455i
$956$	6.50001	−	58.6242i	0.210225	−	1.89604i
$957$	39.1900	+	17.8975i	1.26683	+	0.578543i
$958$	−11.5919	+	22.0709i	−0.374516	+	0.713079i
$959$	0.312300	+	1.06360i	0.0100847	+	0.0343453i
$960$	11.5452	+	28.6783i	0.372618	+	0.925589i
$961$	11.1884	+	24.4992i	0.360916	+	0.790295i
$962$	5.21105	+	22.2171i	0.168011	+	0.716308i
$963$	10.9181	−	7.01661i	0.351829	−	0.226107i
$964$	15.9487	+	9.53462i	0.513672	+	0.307089i
$965$			27.6968i			0.891591i
$966$	−0.163649	+	5.00320i	−0.00526532	+	0.160975i
$967$		−	9.28427i		−	0.298562i	−0.988795	−	0.149281i	$-0.952304\pi$
$967$		−	9.28427i		−	0.298562i	0.988795	−	0.149281i	$-0.0476959\pi$
$968$	29.0855	+	14.0943i	0.934844	+	0.453008i
$969$	1.52390	−	0.979351i	0.0489547	−	0.0314613i
$970$	46.2389	−	10.8454i	1.48464	−	0.348225i
$971$	7.84248	+	17.1726i	0.251677	+	0.551096i	0.992732	−	0.120349i	$-0.0384012\pi$
$971$	7.84248	+	17.1726i	0.251677	+	0.551096i	−0.741054	+	0.671445i	$0.765674\pi$
$972$	1.99895	−	0.0647382i	0.0641164	−	0.00207648i
$973$	2.89356	+	9.85456i	0.0927633	+	0.315923i
$974$	15.5782	+	8.18184i	0.499159	+	0.262163i
$975$	−49.2828	−	22.5067i	−1.57831	−	0.720791i
$976$	0.0923299	+	1.42396i	0.00295541	+	0.0455799i
$977$	−42.8030	+	37.0890i	−1.36939	+	1.18658i	−0.407479	+	0.913215i	$0.633592\pi$
$977$	−42.8030	+	37.0890i	−1.36939	+	1.18658i	−0.961910	+	0.273367i	$0.911863\pi$
$978$	−5.61578	+	5.80060i	−0.179573	+	0.185483i
$979$	21.8453	−	74.3983i	0.698179	−	2.37778i
$980$	48.2999	+	12.4990i	1.54288	+	0.399267i
$981$	8.20105	−	12.7611i	0.261839	−	0.407430i
$982$	−16.8580	+	6.60047i	−0.537960	+	0.210630i
$983$	0.787196	−	5.47507i	0.0251077	−	0.174628i	−0.973409	−	0.229074i	$-0.926430\pi$
$983$	0.787196	−	5.47507i	0.0251077	−	0.174628i	0.998517	+	0.0544463i	$0.0173394\pi$
$984$	1.86907	+	2.25928i	0.0595839	+	0.0720231i
$985$	85.1843	−	12.2477i	2.71420	−	0.390243i
$986$	14.1322	−	10.9406i	0.450060	−	0.348419i
$987$	−1.36516	+	1.57548i	−0.0434536	+	0.0501481i
$988$	−14.0073	+	2.47913i	−0.445632	+	0.0788717i
$989$	47.3757	−	15.0773i	1.50646	−	0.479430i
$990$	25.7817	−	2.26394i	0.819397	−	0.0719528i
$991$	−14.3933	−	12.4719i	−0.457218	−	0.396182i	0.395572	−	0.918435i	$-0.370546\pi$
$991$	−14.3933	−	12.4719i	−0.457218	−	0.396182i	−0.852791	+	0.522253i	$0.825092\pi$
$992$	−6.07583	+	9.65542i	−0.192908	+	0.306560i
$993$	1.16894	+	8.13013i	0.0370951	+	0.258002i
$994$	−4.12557	−	7.27301i	−0.130855	−	0.230686i
$995$	29.1133	+	4.18587i	0.922955	+	0.132701i
$996$	4.30476	+	8.67173i	0.136401	+	0.274774i
$997$	−17.4113	−	11.1896i	−0.551421	−	0.354377i	0.235070	−	0.971978i	$-0.424468\pi$
$997$	−17.4113	−	11.1896i	−0.551421	−	0.354377i	−0.786491	+	0.617602i	$0.788104\pi$
$998$	10.3822	−	29.2745i	0.328643	−	0.926667i
$999$	−2.83865	−	0.833502i	−0.0898108	−	0.0263708i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	276.2.m.a.7.5	✓	240
3.2	odd	2		828.2.u.c.559.20		240
4.3	odd	2	inner	276.2.m.a.7.18	yes	240
12.11	even	2		828.2.u.c.559.7		240
23.10	odd	22	inner	276.2.m.a.79.18	yes	240
69.56	even	22		828.2.u.c.631.7		240
92.79	even	22	inner	276.2.m.a.79.5	yes	240
276.263	odd	22		828.2.u.c.631.20		240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
276.2.m.a.7.5	✓	240	1.1	even	1	trivial
276.2.m.a.7.18	yes	240	4.3	odd	2	inner
276.2.m.a.79.5	yes	240	92.79	even	22	inner
276.2.m.a.79.18	yes	240	23.10	odd	22	inner
828.2.u.c.559.7		240	12.11	even	2
828.2.u.c.559.20		240	3.2	odd	2
828.2.u.c.631.7		240	69.56	even	22
828.2.u.c.631.20		240	276.263	odd	22

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:	\( N \)	\(=\)	\( 276 = 2^{2} \cdot 3 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	276.m (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.14571 - 0.829070i) q^{2} +(0.540641 + 0.841254i) q^{3} +(0.625286 + 1.89974i) q^{4} +(-3.51516 + 1.60532i) q^{5} +(0.0780426 - 1.41206i) q^{6} +(0.708179 - 0.207940i) q^{7} +(0.858625 - 2.69495i) q^{8} +(-0.415415 + 0.909632i) q^{9} +O(q^{10})\)	\(q+(-1.14571 - 0.829070i) q^{2} +(0.540641 + 0.841254i) q^{3} +(0.625286 + 1.89974i) q^{4} +(-3.51516 + 1.60532i) q^{5} +(0.0780426 - 1.41206i) q^{6} +(0.708179 - 0.207940i) q^{7} +(0.858625 - 2.69495i) q^{8} +(-0.415415 + 0.909632i) q^{9} +(5.35826 + 1.07509i) q^{10} +(-3.10124 - 3.57902i) q^{11} +(-1.26011 + 1.55310i) q^{12} +(-5.23328 - 1.53663i) q^{13} +(-0.983762 - 0.348892i) q^{14} +(-3.25092 - 2.08924i) q^{15} +(-3.21804 + 2.37576i) q^{16} +(1.37498 + 0.197692i) q^{17} +(1.23009 - 0.697763i) q^{18} +(-0.185584 - 1.29077i) q^{19} +(-5.24767 - 5.67411i) q^{20} +(0.557801 + 0.483337i) q^{21} +(0.585850 + 6.67165i) q^{22} +(-4.63082 - 1.24720i) q^{23} +(2.73135 - 0.734679i) q^{24} +(6.50499 - 7.50716i) q^{25} +(4.72182 + 6.09928i) q^{26} +(-0.989821 + 0.142315i) q^{27} +(0.837846 + 1.21533i) q^{28} +(-1.29471 + 9.00493i) q^{29} +(1.99247 + 5.08889i) q^{30} +(-1.09029 + 1.69653i) q^{31} +(5.65660 - 0.0539486i) q^{32} +(1.33421 - 4.54389i) q^{33} +(-1.41142 - 1.36645i) q^{34} +(-2.15555 + 1.86779i) q^{35} +(-1.98782 - 0.220401i) q^{36} +(2.69113 + 1.22900i) q^{37} +(-0.857511 + 1.63270i) q^{38} +(-1.53663 - 5.23328i) q^{39} +(1.30805 + 10.8515i) q^{40} +(0.430656 + 0.943004i) q^{41} +(-0.238355 - 1.01622i) q^{42} +(-8.72103 + 5.60467i) q^{43} +(4.86005 - 8.12946i) q^{44} -3.86437i q^{45} +(4.27154 + 5.26820i) q^{46} +2.82445i q^{47} +(-3.73842 - 1.42275i) q^{48} +(-5.43050 + 3.48997i) q^{49} +(-13.6768 + 3.20790i) q^{50} +(0.577060 + 1.26359i) q^{51} +(-0.353095 - 10.9027i) q^{52} +(-1.06825 - 3.63812i) q^{53} +(1.25203 + 0.657580i) q^{54} +(16.6468 + 7.60234i) q^{55} +(0.0476718 - 2.08705i) q^{56} +(0.985527 - 0.853964i) q^{57} +(8.94908 - 9.24359i) q^{58} +(2.09155 - 7.12317i) q^{59} +(1.93626 - 7.48228i) q^{60} +(0.192867 - 0.300107i) q^{61} +(2.65570 - 1.03980i) q^{62} +(-0.105039 + 0.730563i) q^{63} +(-6.52553 - 4.62791i) q^{64} +(20.8626 - 2.99959i) q^{65} +(-5.29581 + 4.09981i) q^{66} +(5.94570 - 6.86171i) q^{67} +(0.484191 + 2.73572i) q^{68} +(-1.45440 - 4.56998i) q^{69} +(4.01816 - 0.352842i) q^{70} +(6.05415 + 5.24595i) q^{71} +(2.09473 + 1.90056i) q^{72} +(0.600572 + 4.17707i) q^{73} +(-2.06432 - 3.63921i) q^{74} +(9.83228 + 1.41367i) q^{75} +(2.33608 - 1.15966i) q^{76} +(-2.94045 - 1.88971i) q^{77} +(-2.57823 + 7.26977i) q^{78} +(-7.85405 - 2.30616i) q^{79} +(7.49805 - 13.5172i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(0.288412 - 1.43745i) q^{82} +(2.01090 - 4.40326i) q^{83} +(-0.569431 + 1.36190i) q^{84} +(-5.15063 + 1.51236i) q^{85} +(14.6384 + 0.809045i) q^{86} +(-8.27540 + 3.77925i) q^{87} +(-12.3081 + 5.28465i) q^{88} +(8.85205 + 13.7741i) q^{89} +(-3.20384 + 4.42744i) q^{90} -4.02562 q^{91} +(-0.526222 - 9.57722i) q^{92} -2.01667 q^{93} +(2.34167 - 3.23599i) q^{94} +(2.72445 + 4.23933i) q^{95} +(3.10357 + 4.72947i) q^{96} +(7.90511 - 3.61014i) q^{97} +(9.11518 + 0.503784i) q^{98} +(4.54389 - 1.33421i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9}+O(q^{10}) \) 240 * q - 4 * q^2 - 4 * q^6 - 4 * q^8 + 24 * q^9	\( 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9} - 8 q^{16} + 4 q^{18} + 4 q^{24} + 24 q^{25} - 40 q^{26} + 32 q^{29} + 36 q^{32} - 22 q^{34} - 22 q^{36} - 110 q^{38} - 22 q^{40} - 16 q^{41} - 110 q^{42} - 154 q^{44} - 88 q^{46} - 56 q^{48} - 40 q^{49} - 142 q^{50} - 70 q^{52} - 18 q^{54} - 110 q^{56} - 46 q^{58} - 22 q^{60} + 40 q^{62} - 48 q^{64} - 16 q^{69} - 72 q^{70} + 4 q^{72} + 22 q^{74} + 110 q^{76} - 192 q^{77} + 198 q^{80} - 24 q^{81} + 172 q^{82} - 200 q^{85} + 220 q^{86} + 176 q^{88} - 88 q^{89} + 154 q^{92} - 16 q^{93} + 126 q^{94} - 44 q^{96} - 88 q^{97} + 228 q^{98}+O(q^{100}) \) 240 * q - 4 * q^2 - 4 * q^6 - 4 * q^8 + 24 * q^9 - 8 * q^16 + 4 * q^18 + 4 * q^24 + 24 * q^25 - 40 * q^26 + 32 * q^29 + 36 * q^32 - 22 * q^34 - 22 * q^36 - 110 * q^38 - 22 * q^40 - 16 * q^41 - 110 * q^42 - 154 * q^44 - 88 * q^46 - 56 * q^48 - 40 * q^49 - 142 * q^50 - 70 * q^52 - 18 * q^54 - 110 * q^56 - 46 * q^58 - 22 * q^60 + 40 * q^62 - 48 * q^64 - 16 * q^69 - 72 * q^70 + 4 * q^72 + 22 * q^74 + 110 * q^76 - 192 * q^77 + 198 * q^80 - 24 * q^81 + 172 * q^82 - 200 * q^85 + 220 * q^86 + 176 * q^88 - 88 * q^89 + 154 * q^92 - 16 * q^93 + 126 * q^94 - 44 * q^96 - 88 * q^97 + 228 * q^98

Introduction

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