LMFDB - Embedded newform 690.2.q.a.11.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [690,2,Mod(11,690)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(690, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 0, 9]))

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

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

chi := DirichletCharacter("690.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 690 = 2 \cdot 3 \cdot 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	690.q (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:	$5.50967773947$
Analytic rank:	$0$
Dimension:	$160$
Relative dimension:	$16$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			11.11
Character	$\chi$	$=$	690.11
Dual form			690.2.q.a.251.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.540641 + 0.841254i) q^{2} +(-0.549229 - 1.64266i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-0.959493 + 0.281733i) q^{5} +(1.08496 - 1.35013i) q^{6} +(-0.315364 + 0.273265i) q^{7} +(-0.989821 + 0.142315i) q^{8} +(-2.39669 + 1.80440i) q^{9} +O(q^{10})$	\(q+(0.540641 + 0.841254i) q^{2} +(-0.549229 - 1.64266i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-0.959493 + 0.281733i) q^{5} +(1.08496 - 1.35013i) q^{6} +(-0.315364 + 0.273265i) q^{7} +(-0.989821 + 0.142315i) q^{8} +(-2.39669 + 1.80440i) q^{9} +(-0.755750 - 0.654861i) q^{10} +(1.39644 + 0.897436i) q^{11} +(1.72238 + 0.182791i) q^{12} +(-0.500791 + 0.577944i) q^{13} +(-0.400384 - 0.117563i) q^{14} +(0.989774 + 1.42139i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(3.26868 + 7.15741i) q^{17} +(-2.81371 - 1.04070i) q^{18} +(2.37198 + 1.08325i) q^{19} +(0.142315 - 0.989821i) q^{20} +(0.622089 + 0.367953i) q^{21} +1.65995i q^{22} +(0.640832 + 4.75282i) q^{23} +(0.777414 + 1.54778i) q^{24} +(0.841254 - 0.540641i) q^{25} +(-0.756945 - 0.108832i) q^{26} +(4.28036 + 2.94594i) q^{27} +(-0.117563 - 0.400384i) q^{28} +(-3.07301 + 1.40340i) q^{29} +(-0.660637 + 1.60111i) q^{30} +(-0.312107 - 2.17075i) q^{31} +(0.281733 - 0.959493i) q^{32} +(0.707222 - 2.78678i) q^{33} +(-4.25401 + 6.61937i) q^{34} +(0.225602 - 0.351044i) q^{35} +(-0.645716 - 2.92968i) q^{36} +(0.803106 - 2.73513i) q^{37} +(0.371104 + 2.58108i) q^{38} +(1.22442 + 0.505208i) q^{39} +(0.909632 - 0.415415i) q^{40} +(0.210784 + 0.717864i) q^{41} +(0.0267854 + 0.722265i) q^{42} +(6.44686 + 0.926918i) q^{43} +(-1.39644 + 0.897436i) q^{44} +(1.79125 - 2.40654i) q^{45} +(-3.65187 + 3.10867i) q^{46} +5.45134i q^{47} +(-0.881774 + 1.49080i) q^{48} +(-0.971423 + 6.75639i) q^{49} +(0.909632 + 0.415415i) q^{50} +(9.96196 - 9.30040i) q^{51} +(-0.317680 - 0.695622i) q^{52} +(-0.203593 - 0.234959i) q^{53} +(-0.164143 + 5.19356i) q^{54} +(-1.59271 - 0.467662i) q^{55} +(0.273265 - 0.315364i) q^{56} +(0.476651 - 4.49132i) q^{57} +(-2.84200 - 1.82644i) q^{58} +(-8.11372 - 7.03058i) q^{59} +(-1.70411 + 0.309863i) q^{60} +(-10.9056 + 1.56799i) q^{61} +(1.65742 - 1.43616i) q^{62} +(0.262753 - 1.22397i) q^{63} +(0.959493 - 0.281733i) q^{64} +(0.317680 - 0.695622i) q^{65} +(2.72674 - 0.911693i) q^{66} +(7.75264 + 12.0633i) q^{67} -7.86846 q^{68} +(7.45533 - 3.66306i) q^{69} +0.417287 q^{70} +(3.35284 + 5.21712i) q^{71} +(2.11551 - 2.12712i) q^{72} +(-2.36201 + 5.17208i) q^{73} +(2.73513 - 0.803106i) q^{74} +(-1.35013 - 1.08496i) q^{75} +(-1.97071 + 1.70763i) q^{76} +(-0.685624 + 0.0985778i) q^{77} +(0.236962 + 1.30318i) q^{78} +(-3.95542 - 3.42739i) q^{79} +(0.841254 + 0.540641i) q^{80} +(2.48829 - 8.64919i) q^{81} +(-0.489947 + 0.565429i) q^{82} +(-7.61204 - 2.23510i) q^{83} +(-0.593127 + 0.413019i) q^{84} +(-5.15275 - 5.94659i) q^{85} +(2.70566 + 5.92457i) q^{86} +(3.99309 + 4.27713i) q^{87} +(-1.50994 - 0.689568i) q^{88} +(1.35432 - 9.41949i) q^{89} +(2.99293 + 0.205827i) q^{90} -0.319111i q^{91} +(-4.58953 - 1.39147i) q^{92} +(-3.39440 + 1.70493i) q^{93} +(-4.58596 + 2.94722i) q^{94} +(-2.58108 - 0.371104i) q^{95} +(-1.73086 + 0.0641895i) q^{96} +(-1.70578 - 5.80934i) q^{97} +(-6.20903 + 2.83557i) q^{98} +(-4.96617 + 0.368851i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 160 q + 16 q^{4} - 16 q^{5} - 2 q^{6} + 42 q^{9}+O(q^{10}) $ 160 * q + 16 * q^4 - 16 * q^5 - 2 * q^6 + 42 * q^9	$ 160 q + 16 q^{4} - 16 q^{5} - 2 q^{6} + 42 q^{9} - 12 q^{11} - 12 q^{14} - 16 q^{16} - 8 q^{18} + 16 q^{20} + 62 q^{21} + 4 q^{23} + 2 q^{24} - 16 q^{25} + 42 q^{27} - 2 q^{30} - 4 q^{31} + 16 q^{33} + 2 q^{36} + 72 q^{38} - 124 q^{39} + 44 q^{41} + 44 q^{43} + 12 q^{44} - 2 q^{45} + 4 q^{46} + 70 q^{49} - 2 q^{51} - 52 q^{53} + 92 q^{54} + 10 q^{55} - 54 q^{56} - 38 q^{57} - 36 q^{58} - 44 q^{61} - 220 q^{63} + 16 q^{64} - 34 q^{66} - 44 q^{67} + 22 q^{69} - 12 q^{70} - 36 q^{72} - 28 q^{73} - 24 q^{74} - 88 q^{77} - 54 q^{78} - 44 q^{79} - 16 q^{80} - 66 q^{81} - 28 q^{82} + 4 q^{83} - 18 q^{84} + 158 q^{86} - 64 q^{87} + 80 q^{89} - 8 q^{90} - 4 q^{92} + 4 q^{93} + 24 q^{94} - 2 q^{96} - 88 q^{98} + 190 q^{99}+O(q^{100}) $ 160 * q + 16 * q^4 - 16 * q^5 - 2 * q^6 + 42 * q^9 - 12 * q^11 - 12 * q^14 - 16 * q^16 - 8 * q^18 + 16 * q^20 + 62 * q^21 + 4 * q^23 + 2 * q^24 - 16 * q^25 + 42 * q^27 - 2 * q^30 - 4 * q^31 + 16 * q^33 + 2 * q^36 + 72 * q^38 - 124 * q^39 + 44 * q^41 + 44 * q^43 + 12 * q^44 - 2 * q^45 + 4 * q^46 + 70 * q^49 - 2 * q^51 - 52 * q^53 + 92 * q^54 + 10 * q^55 - 54 * q^56 - 38 * q^57 - 36 * q^58 - 44 * q^61 - 220 * q^63 + 16 * q^64 - 34 * q^66 - 44 * q^67 + 22 * q^69 - 12 * q^70 - 36 * q^72 - 28 * q^73 - 24 * q^74 - 88 * q^77 - 54 * q^78 - 44 * q^79 - 16 * q^80 - 66 * q^81 - 28 * q^82 + 4 * q^83 - 18 * q^84 + 158 * q^86 - 64 * q^87 + 80 * q^89 - 8 * q^90 - 4 * q^92 + 4 * q^93 + 24 * q^94 - 2 * q^96 - 88 * q^98 + 190 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/690\mathbb{Z}\right)^\times$.

$n$	$277$	$461$	$511$
$\chi(n)$	$1$	$-1$	$e\left(\frac{9}{22}\right)$

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 $

$2$	0.540641	+	0.841254i	0.382291	+	0.594856i
$2$	0.540641	+	0.841254i	0.382291	+	0.594856i
$3$	−0.549229	−	1.64266i	−0.317098	−	0.948393i
$3$	−0.549229	−	1.64266i	−0.317098	−	0.948393i
$4$	−0.415415	+	0.909632i	−0.207708	+	0.454816i
$5$	−0.959493	+	0.281733i	−0.429098	+	0.125995i
$5$	−0.959493	+	0.281733i	−0.429098	+	0.125995i
$6$	1.08496	−	1.35013i	0.442934	−	0.551189i
$7$	−0.315364	+	0.273265i	−0.119196	+	0.103284i	−0.712420	−	0.701754i	$-0.752401\pi$
$7$	−0.315364	+	0.273265i	−0.119196	+	0.103284i	0.593223	+	0.805038i	$0.297855\pi$
$8$	−0.989821	+	0.142315i	−0.349955	+	0.0503159i
$9$	−2.39669	+	1.80440i	−0.798898	+	0.601466i
$10$	−0.755750	−	0.654861i	−0.238989	−	0.207085i
$11$	1.39644	+	0.897436i	0.421042	+	0.270587i	0.733960	−	0.679193i	$-0.237670\pi$
$11$	1.39644	+	0.897436i	0.421042	+	0.270587i	−0.312918	+	0.949780i	$0.601306\pi$
$12$	1.72238	+	0.182791i	0.497208	+	0.0527672i
$13$	−0.500791	+	0.577944i	−0.138894	+	0.160293i	−0.820935	−	0.571022i	$-0.806547\pi$
$13$	−0.500791	+	0.577944i	−0.138894	+	0.160293i	0.682041	+	0.731314i	$0.261093\pi$
$14$	−0.400384	−	0.117563i	−0.107007	−	0.0314201i
$15$	0.989774	+	1.42139i	0.255558	+	0.367001i
$16$	−0.654861	−	0.755750i	−0.163715	−	0.188937i
$17$	3.26868	+	7.15741i	0.792771	+	1.73593i	0.668545	+	0.743672i	$0.266918\pi$
$17$	3.26868	+	7.15741i	0.792771	+	1.73593i	0.124226	+	0.992254i	$0.460355\pi$
$18$	−2.81371	−	1.04070i	−0.663197	−	0.245294i
$19$	2.37198	+	1.08325i	0.544170	+	0.248514i	0.668481	−	0.743729i	$-0.266945\pi$
$19$	2.37198	+	1.08325i	0.544170	+	0.248514i	−0.124311	+	0.992243i	$0.539672\pi$
$20$	0.142315	−	0.989821i	0.0318226	−	0.221331i
$21$	0.622089	+	0.367953i	0.135751	+	0.0802938i
$22$			1.65995i			0.353902i
$23$	0.640832	+	4.75282i	0.133623	+	0.991032i
$23$	0.640832	+	4.75282i	0.133623	+	0.991032i
$24$	0.777414	+	1.54778i	0.158689	+	0.315940i
$25$	0.841254	−	0.540641i	0.168251	−	0.108128i
$26$	−0.756945	−	0.108832i	−0.148449	−	0.0213438i
$27$	4.28036	+	2.94594i	0.823755	+	0.566946i
$28$	−0.117563	−	0.400384i	−0.0222174	−	0.0756654i
$29$	−3.07301	+	1.40340i	−0.570643	+	0.260604i	−0.679772	−	0.733424i	$-0.737921\pi$
$29$	−3.07301	+	1.40340i	−0.570643	+	0.260604i	0.109129	+	0.994028i	$0.465194\pi$
$30$	−0.660637	+	1.60111i	−0.120615	+	0.292322i
$31$	−0.312107	−	2.17075i	−0.0560561	−	0.389879i	−0.998464	−	0.0554119i	$-0.982353\pi$
$31$	−0.312107	−	2.17075i	−0.0560561	−	0.389879i	0.942407	−	0.334467i	$-0.108556\pi$
$32$	0.281733	−	0.959493i	0.0498038	−	0.169616i
$33$	0.707222	−	2.78678i	0.123112	−	0.485116i
$34$	−4.25401	+	6.61937i	−0.729557	+	1.13521i
$35$	0.225602	−	0.351044i	0.0381337	−	0.0593372i
$36$	−0.645716	−	2.92968i	−0.107619	−	0.488281i
$37$	0.803106	−	2.73513i	0.132030	−	0.449652i	−0.866766	−	0.498715i	$-0.833805\pi$
$37$	0.803106	−	2.73513i	0.132030	−	0.449652i	0.998796	+	0.0490629i	$0.0156235\pi$
$38$	0.371104	+	2.58108i	0.0602010	+	0.418707i
$39$	1.22442	+	0.505208i	0.196064	+	0.0808981i
$40$	0.909632	−	0.415415i	0.143825	−	0.0656829i
$41$	0.210784	+	0.717864i	0.0329189	+	0.112112i	0.974314	−	0.225196i	$-0.0723021\pi$
$41$	0.210784	+	0.717864i	0.0329189	+	0.112112i	−0.941395	+	0.337307i	$0.890484\pi$
$42$	0.0267854	+	0.722265i	0.00413308	+	0.111448i
$43$	6.44686	+	0.926918i	0.983136	+	0.141354i	0.615093	−	0.788455i	$-0.289119\pi$
$43$	6.44686	+	0.926918i	0.983136	+	0.141354i	0.368044	+	0.929809i	$0.380028\pi$
$44$	−1.39644	+	0.897436i	−0.210521	+	0.135294i
$45$	1.79125	−	2.40654i	0.267024	−	0.358745i
$46$	−3.65187	+	3.10867i	−0.538439	+	0.458349i
$47$			5.45134i			0.795160i	0.917568	+	0.397580i	$0.130150\pi$
$47$			5.45134i			0.795160i	−0.917568	+	0.397580i	$0.869850\pi$
$48$	−0.881774	+	1.49080i	−0.127273	+	0.215178i
$49$	−0.971423	+	6.75639i	−0.138775	+	0.965199i
$50$	0.909632	+	0.415415i	0.128641	+	0.0587486i
$51$	9.96196	−	9.30040i	1.39495	−	1.30232i
$52$	−0.317680	−	0.695622i	−0.0440543	−	0.0964655i
$53$	−0.203593	−	0.234959i	−0.0279656	−	0.0322741i	0.741594	−	0.670848i	$-0.234070\pi$
$53$	−0.203593	−	0.234959i	−0.0279656	−	0.0322741i	−0.769560	+	0.638574i	$0.779524\pi$
$54$	−0.164143	+	5.19356i	−0.0223371	+	0.706754i
$55$	−1.59271	−	0.467662i	−0.214761	−	0.0630595i
$56$	0.273265	−	0.315364i	0.0365165	−	0.0421423i
$57$	0.476651	−	4.49132i	0.0631339	−	0.594890i
$58$	−2.84200	−	1.82644i	−0.373173	−	0.239824i
$59$	−8.11372	−	7.03058i	−1.05632	−	0.915303i	−0.0597592	−	0.998213i	$-0.519033\pi$
$59$	−8.11372	−	7.03058i	−1.05632	−	0.915303i	−0.996557	+	0.0829096i	$0.973579\pi$
$60$	−1.70411	+	0.309863i	−0.219999	+	0.0400032i
$61$	−10.9056	+	1.56799i	−1.39632	+	0.200761i	−0.799044	−	0.601272i	$-0.794661\pi$
$61$	−10.9056	+	1.56799i	−1.39632	+	0.200761i	−0.597280	+	0.802033i	$0.703752\pi$
$62$	1.65742	−	1.43616i	0.210492	−	0.182392i
$63$	0.262753	−	1.22397i	0.0331038	−	0.154206i
$64$	0.959493	−	0.281733i	0.119937	−	0.0352166i
$65$	0.317680	−	0.695622i	0.0394034	−	0.0862813i
$66$	2.72674	−	0.911693i	0.335638	−	0.112222i
$67$	7.75264	+	12.0633i	0.947135	+	1.47377i	0.879409	+	0.476067i	$0.157938\pi$
$67$	7.75264	+	12.0633i	0.947135	+	1.47377i	0.0677266	+	0.997704i	$0.478425\pi$
$68$	−7.86846			−0.954191
$69$	7.45533	−	3.66306i	0.897516	−	0.440981i
$70$	0.417287			0.0498753
$71$	3.35284	+	5.21712i	0.397909	+	0.619159i	0.981175	−	0.193123i	$-0.0618616\pi$
$71$	3.35284	+	5.21712i	0.397909	+	0.619159i	−0.583265	+	0.812282i	$0.698225\pi$
$72$	2.11551	−	2.12712i	0.249315	−	0.250683i
$73$	−2.36201	+	5.17208i	−0.276452	+	0.605346i	−0.996025	−	0.0890706i	$-0.971610\pi$
$73$	−2.36201	+	5.17208i	−0.276452	+	0.605346i	0.719573	+	0.694417i	$0.244338\pi$
$74$	2.73513	−	0.803106i	0.317952	−	0.0933592i
$75$	−1.35013	−	1.08496i	−0.155900	−	0.125281i
$76$	−1.97071	+	1.70763i	−0.226056	+	0.195879i
$77$	−0.685624	+	0.0985778i	−0.0781341	+	0.0112340i
$78$	0.236962	+	1.30318i	0.0268306	+	0.147556i
$79$	−3.95542	−	3.42739i	−0.445020	−	0.385612i	0.403324	−	0.915057i	$-0.367855\pi$
$79$	−3.95542	−	3.42739i	−0.445020	−	0.385612i	−0.848344	+	0.529445i	$0.822400\pi$
$80$	0.841254	+	0.540641i	0.0940550	+	0.0604455i
$81$	2.48829	−	8.64919i	0.276476	−	0.961021i
$82$	−0.489947	+	0.565429i	−0.0541056	+	0.0624412i
$83$	−7.61204	−	2.23510i	−0.835530	−	0.245334i	−0.164139	−	0.986437i	$-0.552485\pi$
$83$	−7.61204	−	2.23510i	−0.835530	−	0.245334i	−0.671391	+	0.741104i	$0.734303\pi$
$84$	−0.593127	+	0.413019i	−0.0647154	+	0.0450641i
$85$	−5.15275	−	5.94659i	−0.558894	−	0.644998i
$86$	2.70566	+	5.92457i	0.291759	+	0.638863i
$87$	3.99309	+	4.27713i	0.428104	+	0.458557i
$88$	−1.50994	−	0.689568i	−0.160960	−	0.0735082i
$89$	1.35432	−	9.41949i	0.143557	−	0.998463i	−0.782923	−	0.622119i	$-0.786272\pi$
$89$	1.35432	−	9.41949i	0.143557	−	0.998463i	0.926480	−	0.376344i	$-0.122819\pi$
$90$	2.99293	+	0.205827i	0.315483	+	0.0216961i
$91$		−	0.319111i		−	0.0334519i
$92$	−4.58953	−	1.39147i	−0.478492	−	0.145071i
$93$	−3.39440	+	1.70493i	−0.351983	+	0.176793i
$94$	−4.58596	+	2.94722i	−0.473006	+	0.303982i
$95$	−2.58108	−	0.371104i	−0.264814	−	0.0380745i
$96$	−1.73086	+	0.0641895i	−0.176655	+	0.00655132i
$97$	−1.70578	−	5.80934i	−0.173195	−	0.589849i	−0.999640	−	0.0268310i	$-0.991458\pi$
$97$	−1.70578	−	5.80934i	−0.173195	−	0.589849i	0.826445	−	0.563018i	$-0.190360\pi$
$98$	−6.20903	+	2.83557i	−0.627207	+	0.286436i
$99$	−4.96617	+	0.368851i	−0.499119	+	0.0370709i
$100$	0.142315	+	0.989821i	0.0142315	+	0.0989821i
$101$	4.83354	−	16.4615i	0.480955	−	1.63798i	−0.259401	−	0.965770i	$-0.583525\pi$
$101$	4.83354	−	16.4615i	0.480955	−	1.63798i	0.740357	−	0.672214i	$-0.234657\pi$
$102$	13.2098	+	3.35236i	1.30797	+	0.331933i
$103$	6.36667	−	9.90673i	0.627326	−	0.976139i	−0.371534	−	0.928419i	$-0.621168\pi$
$103$	6.36667	−	9.90673i	0.627326	−	0.976139i	0.998861	−	0.0477197i	$-0.0151954\pi$
$104$	0.413444	−	0.643331i	0.0405415	−	0.0630838i
$105$	−0.700555	−	0.177785i	−0.0683671	−	0.0173501i
$106$	0.0875893	−	0.298302i	0.00850742	−	0.0289736i
$107$	0.115181	+	0.801105i	0.0111350	+	0.0774457i	0.994631	−	0.103483i	$-0.0329988\pi$
$107$	0.115181	+	0.801105i	0.0111350	+	0.0774457i	−0.983496	+	0.180929i	$0.942090\pi$
$108$	−4.45784	+	2.66976i	−0.428956	+	0.256898i
$109$	9.70257	−	4.43102i	0.929338	−	0.424414i	0.107545	−	0.994200i	$-0.465701\pi$
$109$	9.70257	−	4.43102i	0.929338	−	0.424414i	0.821793	+	0.569786i	$0.192974\pi$
$110$	−0.467662	−	1.59271i	−0.0445898	−	0.151859i
$111$	−4.93399	+	0.182979i	−0.468314	+	0.0173676i
$112$	0.413039	+	0.0593861i	0.0390285	+	0.00561146i
$113$	−7.80954	+	5.01889i	−0.734660	+	0.472137i	−0.853708	−	0.520751i	$-0.825652\pi$
$113$	−7.80954	+	5.01889i	−0.734660	+	0.472137i	0.119049	+	0.992888i	$0.462016\pi$
$114$	4.03604	−	2.02721i	0.378009	−	0.189865i
$115$	−1.95390	−	4.37976i	−0.182202	−	0.408415i
$116$		−	3.37830i		−	0.313667i
$117$	0.157402	−	2.28878i	0.0145518	−	0.211598i
$118$	1.52789	−	10.6267i	0.140654	−	0.978268i
$119$	−2.98669	−	1.36398i	−0.273789	−	0.125035i
$120$	−1.18198	−	1.26606i	−0.107900	−	0.115575i
$121$	−3.42492	−	7.49952i	−0.311356	−	0.681775i
$122$	−7.21511	−	8.32669i	−0.653226	−	0.753863i
$123$	1.06344	−	0.740519i	0.0958873	−	0.0667704i
$124$	2.10424	+	0.617861i	0.188966	+	0.0554855i
$125$	−0.654861	+	0.755750i	−0.0585725	+	0.0675963i
$126$	1.17173	−	0.440689i	0.104386	−	0.0392597i
$127$	8.23700	+	5.29360i	0.730915	+	0.469731i	0.852418	−	0.522860i	$-0.175135\pi$
$127$	8.23700	+	5.29360i	0.730915	+	0.469731i	−0.121503	+	0.992591i	$0.538771\pi$
$128$	0.755750	+	0.654861i	0.0667995	+	0.0578821i
$129$	−2.01819	−	11.0991i	−0.177691	−	0.977222i
$130$	0.756945	−	0.108832i	0.0663885	−	0.00954523i
$131$	−4.04579	+	3.50570i	−0.353483	+	0.306295i	−0.813443	−	0.581645i	$-0.802409\pi$
$131$	−4.04579	+	3.50570i	−0.353483	+	0.306295i	0.459960	+	0.887940i	$0.347864\pi$
$132$	2.24115	+	1.80098i	0.195067	+	0.156755i
$133$	−1.04405	+	0.306561i	−0.0905307	+	0.0265822i
$134$	−5.95693	+	13.0439i	−0.514601	+	1.12682i
$135$	−4.93694	−	1.62069i	−0.424904	−	0.139487i
$136$	−4.25401	−	6.61937i	−0.364779	−	0.567607i
$137$	−6.83462			−0.583921			−0.291961	−	0.956430i	$-0.594308\pi$
$137$	−6.83462			−0.583921			−0.291961	+	0.956430i	$0.594308\pi$
$138$	7.11222	+	4.29142i	0.605432	+	0.365310i
$139$	16.6015			1.40812			0.704061	−	0.710139i	$-0.251368\pi$
$139$	16.6015			1.40812			0.704061	+	0.710139i	$0.251368\pi$
$140$	0.225602	+	0.351044i	0.0190669	+	0.0296686i
$141$	8.95473	−	2.99404i	0.754124	−	0.252143i
$142$	−2.57624	+	5.64118i	−0.216193	+	0.473397i
$143$	−1.21799	+	0.357635i	−0.101854	+	0.0299069i
$144$	2.93317	+	0.629671i	0.244431	+	0.0524726i
$145$	2.55315	−	2.21231i	0.212027	−	0.183723i
$146$	−5.62803	+	0.809189i	−0.465779	+	0.0669689i
$147$	11.6320	−	2.11509i	0.959393	−	0.174449i
$148$	2.15434	+	1.86674i	0.177086	+	0.153445i
$149$	−5.77761	−	3.71305i	−0.473321	−	0.304185i	0.282146	−	0.959371i	$-0.408954\pi$
$149$	−5.77761	−	3.71305i	−0.473321	−	0.304185i	−0.755467	+	0.655187i	$0.772590\pi$
$150$	0.182791	−	1.72238i	0.0149248	−	0.140632i
$151$	−8.19470	+	9.45719i	−0.666876	+	0.769615i	−0.983884	−	0.178807i	$-0.942776\pi$
$151$	−8.19470	+	9.45719i	−0.666876	+	0.769615i	0.317009	+	0.948423i	$0.397322\pi$
$152$	−2.50200	−	0.734653i	−0.202939	−	0.0595883i
$153$	−20.7488	−	11.2561i	−1.67744	−	0.910003i
$154$	−0.453605	−	0.523488i	−0.0365526	−	0.0421839i
$155$	0.911037	+	1.99489i	0.0731762	+	0.160234i
$156$	−0.968195	+	0.903898i	−0.0775176	+	0.0723698i
$157$	−5.69493	−	2.60079i	−0.454505	−	0.207566i	0.174990	−	0.984570i	$-0.444011\pi$
$157$	−5.69493	−	2.60079i	−0.454505	−	0.207566i	−0.629495	+	0.777005i	$0.716738\pi$
$158$	0.744844	−	5.18050i	0.0592566	−	0.412139i
$159$	−0.274139	+	0.463481i	−0.0217407	+	0.0367565i
$160$			1.00000i			0.0790569i
$161$	−1.50087	−	1.32375i	−0.118285	−	0.104326i
$162$	8.62143	−	2.58282i	0.677363	−	0.202926i
$163$	8.63447	−	5.54904i	0.676304	−	0.434634i	−0.156889	−	0.987616i	$-0.550147\pi$
$163$	8.63447	−	5.54904i	0.676304	−	0.434634i	0.833193	+	0.552982i	$0.186510\pi$
$164$	−0.740555	−	0.106476i	−0.0578276	−	0.00831436i
$165$	0.106551	+	2.87314i	0.00829501	+	0.223674i
$166$	−2.23510	−	7.61204i	−0.173477	−	0.590809i
$167$	−5.11811	+	2.33736i	−0.396052	+	0.180871i	−0.603477	−	0.797380i	$-0.706219\pi$
$167$	−5.11811	+	2.33736i	−0.396052	+	0.180871i	0.207426	+	0.978251i	$0.433491\pi$
$168$	−0.668122	−	0.275675i	−0.0515468	−	0.0212688i
$169$	1.76687	+	12.2888i	0.135913	+	0.945294i
$170$	2.21680	−	7.54974i	0.170021	−	0.579038i
$171$	−7.63952	+	1.68379i	−0.584209	+	0.128762i
$172$	−3.52127	+	5.47921i	−0.268495	+	0.417786i
$173$	4.99740	−	7.77611i	0.379946	−	0.591207i	−0.597635	−	0.801768i	$-0.703893\pi$
$173$	4.99740	−	7.77611i	0.379946	−	0.591207i	0.977581	+	0.210561i	$0.0675292\pi$
$174$	−1.43932	+	5.67160i	−0.109115	+	0.429963i
$175$	−0.117563	+	0.400384i	−0.00888694	+	0.0302661i
$176$	−0.236235	−	1.64305i	−0.0178069	−	0.123850i
$177$	−7.09259	+	17.1895i	−0.533112	+	1.29204i
$178$	8.65637	−	3.95323i	0.648823	−	0.296307i
$179$	5.15069	+	17.5416i	0.384981	+	1.31112i	0.893108	+	0.449842i	$0.148520\pi$
$179$	5.15069	+	17.5416i	0.384981	+	1.31112i	−0.508127	+	0.861282i	$0.669662\pi$
$180$	1.44495	+	2.62909i	0.107700	+	0.195961i
$181$	3.60240	+	0.517947i	0.267765	+	0.0384987i	0.274889	−	0.961476i	$-0.411359\pi$
$181$	3.60240	+	0.517947i	0.267765	+	0.0384987i	−0.00712472	+	0.999975i	$0.502268\pi$
$182$	0.268453	−	0.172525i	0.0198991	−	0.0127884i
$183$	8.56538	+	17.0531i	0.633171	+	1.26060i
$184$	−1.31071	−	4.61325i	−0.0966266	−	0.340093i
$185$			2.85060i			0.209580i
$186$	−3.26943	−	1.93380i	−0.239726	−	0.141793i
$187$	−1.85881	+	12.9283i	−0.135930	+	0.945411i
$188$	−4.95872	−	2.26457i	−0.361651	−	0.165161i
$189$	−2.15489	+	0.240627i	−0.156745	+	0.0175031i
$190$	−1.08325	−	2.37198i	−0.0785870	−	0.172082i
$191$	−6.80371	−	7.85190i	−0.492299	−	0.568143i	0.454180	−	0.890910i	$-0.349932\pi$
$191$	−6.80371	−	7.85190i	−0.492299	−	0.568143i	−0.946478	+	0.322767i	$0.895387\pi$
$192$	−0.989774	−	1.42139i	−0.0714308	−	0.102580i
$193$	11.4611	+	3.36527i	0.824986	+	0.242238i	0.666862	−	0.745181i	$-0.267637\pi$
$193$	11.4611	+	3.36527i	0.824986	+	0.242238i	0.158124	+	0.987419i	$0.449455\pi$
$194$	3.96491	−	4.57576i	0.284664	−	0.328520i
$195$	−1.31715	−	0.139786i	−0.0943233	−	0.0100103i
$196$	−5.74229	−	3.69034i	−0.410163	−	0.263596i
$197$	−4.45696	−	3.86198i	−0.317545	−	0.275155i	0.481473	−	0.876461i	$-0.340102\pi$
$197$	−4.45696	−	3.86198i	−0.317545	−	0.275155i	−0.799019	+	0.601306i	$0.794647\pi$
$198$	−2.99521	−	3.97839i	−0.212860	−	0.282732i
$199$	21.3738	−	3.07309i	1.51515	−	0.217846i	0.665982	−	0.745968i	$-0.268013\pi$
$199$	21.3738	−	3.07309i	1.51515	−	0.217846i	0.849168	+	0.528123i	$0.177104\pi$
$200$	−0.755750	+	0.654861i	−0.0534396	+	0.0463056i
$201$	15.5580	−	19.3605i	1.09738	−	1.36559i
$202$	16.4615	−	4.83354i	1.15823	−	0.340087i
$203$	0.585618	−	1.28232i	0.0411023	−	0.0900015i
$204$	4.32159	+	12.9252i	0.302572	+	0.904948i
$205$	−0.404491	−	0.629401i	−0.0282509	−	0.0439593i
$206$	11.7761			0.820483
$207$	−10.1119	−	10.2347i	−0.702824	−	0.711364i
$208$	0.764729			0.0530244
$209$	2.34018	+	3.64139i	0.161874	+	0.251880i
$210$	−0.229186	−	0.685462i	−0.0158153	−	0.0473014i
$211$	2.60378	−	5.70149i	0.179252	−	0.392507i	−0.798583	−	0.601885i	$-0.794417\pi$
$211$	2.60378	−	5.70149i	0.179252	−	0.392507i	0.977835	+	0.209378i	$0.0671439\pi$
$212$	0.298302	−	0.0875893i	0.0204874	−	0.00601566i
$213$	6.72851	−	8.37299i	0.461030	−	0.573708i
$214$	−0.611660	+	0.530007i	−0.0418122	+	0.0362305i
$215$	−6.44686	+	0.926918i	−0.439672	+	0.0632153i
$216$	−4.65604	−	2.30679i	−0.316803	−	0.156957i
$217$	0.691618	+	0.599290i	0.0469501	+	0.0406825i
$218$	8.97322	+	5.76674i	0.607743	+	0.390573i
$219$	9.79328	+	1.03933i	0.661768	+	0.0702316i
$220$	1.08704	−	1.25451i	0.0732879	−	0.0845788i
$221$	−5.77350	−	1.69525i	−0.388368	−	0.114035i
$222$	−2.82145	−	4.05181i	−0.189363	−	0.271940i
$223$	12.7265	+	14.6872i	0.852231	+	0.983527i	0.999985	−	0.00549735i	$-0.00174987\pi$
$223$	12.7265	+	14.6872i	0.852231	+	0.983527i	−0.147754	+	0.989024i	$0.547204\pi$
$224$	0.173347	+	0.379577i	0.0115822	+	0.0253616i
$225$	−1.04070	+	2.81371i	−0.0693797	+	0.187581i
$226$	−8.44431	−	3.85639i	−0.561707	−	0.256523i
$227$	−3.31619	+	23.0646i	−0.220103	+	1.53085i	0.517539	+	0.855659i	$0.326848\pi$
$227$	−3.31619	+	23.0646i	−0.220103	+	1.53085i	−0.737642	+	0.675192i	$0.764061\pi$
$228$	3.88744	+	2.29934i	0.257452	+	0.152277i
$229$		−	25.9795i		−	1.71677i	−0.513004	−	0.858386i	$-0.671467\pi$
$229$		−	25.9795i		−	1.71677i	0.513004	−	0.858386i	$-0.328533\pi$
$230$	2.62813	−	4.01160i	0.173294	−	0.264517i
$231$	0.538495	+	1.07211i	0.0354304	+	0.0705396i
$232$	2.84200	−	1.82644i	0.186587	−	0.119912i
$233$	9.88583	+	1.42137i	0.647642	+	0.0931169i	0.458305	−	0.888795i	$-0.348457\pi$
$233$	9.88583	+	1.42137i	0.647642	+	0.0931169i	0.189338	+	0.981912i	$0.439366\pi$
$234$	2.01054	−	1.10499i	0.131433	−	0.0722357i
$235$	−1.53582	−	5.23052i	−0.100186	−	0.341202i
$236$	9.76580	−	4.45989i	0.635699	−	0.290314i
$237$	−3.45762	+	8.37986i	−0.224597	+	0.544330i
$238$	−0.467277	−	3.24998i	−0.0302891	−	0.210665i
$239$	5.55447	−	18.9168i	0.359289	−	1.22363i	−0.559485	−	0.828841i	$-0.689001\pi$
$239$	5.55447	−	18.9168i	0.359289	−	1.22363i	0.918774	−	0.394785i	$-0.129181\pi$
$240$	0.426050	−	1.67883i	0.0275014	−	0.108368i
$241$	−4.35664	+	6.77906i	−0.280636	+	0.436678i	−0.952744	−	0.303775i	$-0.901753\pi$
$241$	−4.35664	+	6.77906i	−0.280636	+	0.436678i	0.672108	+	0.740453i	$0.265389\pi$
$242$	4.45735	−	6.93577i	0.286529	−	0.445848i
$243$	−15.5744	+	0.662964i	−0.999095	+	0.0425292i
$244$	3.10407	−	10.5715i	0.198718	−	0.676770i
$245$	−0.971423	−	6.75639i	−0.0620619	−	0.431650i
$246$	1.19790	+	0.494269i	0.0763756	+	0.0315134i
$247$	−1.81392	+	0.828391i	−0.115417	+	0.0527093i
$248$	0.617861	+	2.10424i	0.0392342	+	0.133619i
$249$	0.509241	+	13.7316i	0.0322718	+	0.870205i
$250$	−0.989821	−	0.142315i	−0.0626018	−	0.00900078i
$251$	9.34513	−	6.00575i	0.589860	−	0.379080i	−0.211397	−	0.977400i	$-0.567801\pi$
$251$	9.34513	−	6.00575i	0.589860	−	0.379080i	0.801257	+	0.598320i	$0.204165\pi$
$252$	1.00421	+	0.747466i	0.0632596	+	0.0470859i
$253$	−3.37047	+	7.21213i	−0.211900	+	0.453423i
$254$			9.79134i			0.614363i
$255$	−6.93821	+	11.7303i	−0.434488	+	0.734578i
$256$	−0.142315	+	0.989821i	−0.00889468	+	0.0618638i
$257$	−5.01762	−	2.29147i	−0.312990	−	0.142938i	0.252726	−	0.967538i	$-0.418673\pi$
$257$	−5.01762	−	2.29147i	−0.312990	−	0.142938i	−0.565716	+	0.824600i	$0.691400\pi$
$258$	8.24605	−	7.69844i	0.513377	−	0.479284i
$259$	0.494143	+	1.08202i	0.0307045	+	0.0672336i
$260$	0.500791	+	0.577944i	0.0310578	+	0.0358426i
$261$	4.83277	−	8.90844i	0.299141	−	0.551419i
$262$	−5.13651	−	1.50821i	−0.317334	−	0.0931778i
$263$	−1.57926	+	1.82256i	−0.0973813	+	0.112384i	−0.802348	−	0.596856i	$-0.796416\pi$
$263$	−1.57926	+	1.82256i	−0.0973813	+	0.112384i	0.704967	+	0.709240i	$0.250962\pi$
$264$	−0.303424	+	2.85906i	−0.0186744	+	0.175963i
$265$	0.261542	+	0.168083i	0.0160664	+	0.0103252i
$266$	−0.822352	−	0.712572i	−0.0504216	−	0.0436906i
$267$	−16.2169	+	2.94877i	−0.992457	+	0.180462i
$268$	−14.1938	+	2.04075i	−0.867022	+	0.124659i
$269$	18.5075	−	16.0369i	1.12842	−	0.977784i	0.128520	−	0.991707i	$-0.458977\pi$
$269$	18.5075	−	16.0369i	1.12842	−	0.977784i	0.999903	+	0.0139228i	$0.00443191\pi$
$270$	−1.30570	−	5.02943i	−0.0794624	−	0.306081i
$271$	−8.76344	+	2.57318i	−0.532341	+	0.156310i	−0.536846	−	0.843680i	$-0.680384\pi$
$271$	−8.76344	+	2.57318i	−0.532341	+	0.156310i	0.00450455	+	0.999990i	$0.498566\pi$
$272$	3.26868	−	7.15741i	0.198193	−	0.433982i
$273$	−0.524193	+	0.175265i	−0.0317256	+	0.0106075i
$274$	−3.69508	−	5.74965i	−0.223228	−	0.347349i
$275$	1.65995			0.100099
$276$	0.234982	+	8.30330i	0.0141442	+	0.499800i
$277$	−6.53114			−0.392418			−0.196209	−	0.980562i	$-0.562863\pi$
$277$	−6.53114			−0.392418			−0.196209	+	0.980562i	$0.562863\pi$
$278$	8.97546	+	13.9661i	0.538312	+	0.837630i
$279$	4.66493	+	4.63947i	0.279282	+	0.277758i
$280$	−0.173347	+	0.379577i	−0.0103595	+	0.0226841i
$281$	5.00733	−	1.47029i	0.298713	−	0.0877099i	−0.128942	−	0.991652i	$-0.541158\pi$
$281$	5.00733	−	1.47029i	0.298713	−	0.0877099i	0.427655	+	0.903942i	$0.359340\pi$
$282$	7.36003	+	5.91450i	0.438284	+	0.352203i
$283$	9.16273	−	7.93955i	0.544667	−	0.471957i	−0.338532	−	0.940955i	$-0.609930\pi$
$283$	9.16273	−	7.93955i	0.544667	−	0.471957i	0.883199	+	0.468998i	$0.155385\pi$
$284$	−6.13848	+	0.882581i	−0.364252	+	0.0523715i
$285$	0.808008	+	4.44368i	0.0478623	+	0.263221i
$286$	−0.959357	−	0.831288i	−0.0567280	−	0.0491551i
$287$	−0.262640	−	0.168789i	−0.0155032	−	0.00996329i
$288$	1.05608	+	2.80797i	0.0622302	+	0.165461i
$289$	−29.4116	+	33.9428i	−1.73009	+	1.99663i
$290$	3.24145	+	0.951776i	0.190345	+	0.0558902i
$291$	−8.60593	+	5.99268i	−0.504489	+	0.351297i
$292$	−3.72348	−	4.29712i	−0.217900	−	0.251470i
$293$	12.8455	+	28.1276i	0.750440	+	1.64323i	0.765573	+	0.643349i	$0.222456\pi$
$293$	12.8455	+	28.1276i	0.750440	+	1.64323i	−0.0151327	+	0.999885i	$0.504817\pi$
$294$	8.06807	+	8.64198i	0.470540	+	0.504010i
$295$	9.76580	+	4.45989i	0.568587	+	0.259665i
$296$	−0.405682	+	2.82158i	−0.0235798	+	0.164001i
$297$	3.33346	+	7.95517i	0.193427	+	0.461606i
$298$		−	6.86786i		−	0.397845i
$299$	−3.06779	−	2.00981i	−0.177415	−	0.116230i
$300$	1.54778	−	0.777414i	0.0893612	−	0.0448840i
$301$	−2.28640	+	1.46938i	−0.131786	+	0.0846937i
$302$	−12.3863	−	1.78088i	−0.712751	−	0.102478i
$303$	−29.6955	+	1.10127i	−1.70596	+	0.0632661i
$304$	−0.734653	−	2.50200i	−0.0421353	−	0.143500i
$305$	10.0221	−	4.57695i	0.573865	−	0.262076i
$306$	−1.74842	−	23.5406i	−0.0999506	−	1.34572i
$307$	4.29993	+	29.9067i	0.245410	+	1.70686i	0.624103	+	0.781342i	$0.285465\pi$
$307$	4.29993	+	29.9067i	0.245410	+	1.70686i	−0.378693	+	0.925522i	$0.623626\pi$
$308$	0.195149	−	0.664616i	0.0111196	−	0.0378700i
$309$	−19.7702	−	5.01723i	−1.12469	−	0.285420i
$310$	−1.18567	+	1.84493i	−0.0673413	+	0.104785i
$311$	−8.02548	+	12.4879i	−0.455083	+	0.708123i	−0.990659	−	0.136364i	$-0.956458\pi$
$311$	−8.02548	+	12.4879i	−0.455083	+	0.708123i	0.535576	+	0.844487i	$0.320095\pi$
$312$	−1.28385	−	0.325813i	−0.0726839	−	0.0184455i
$313$	7.99345	−	27.2232i	0.451816	−	1.53874i	−0.347409	−	0.937714i	$-0.612939\pi$
$313$	7.99345	−	27.2232i	0.451816	−	1.53874i	0.799226	−	0.601031i	$-0.205243\pi$
$314$	−0.890991	−	6.19698i	−0.0502815	−	0.349716i
$315$	0.0927237	+	1.24842i	0.00522439	+	0.0703406i
$316$	4.76081	−	2.17419i	0.267816	−	0.122308i
$317$	7.51925	+	25.6082i	0.422323	+	1.43830i	0.846339	+	0.532645i	$0.178802\pi$
$317$	7.51925	+	25.6082i	0.422323	+	1.43830i	−0.424016	+	0.905655i	$0.639380\pi$
$318$	−0.538116	+	0.0199562i	−0.0301761	+	0.00111909i
$319$	−5.55072	−	0.798073i	−0.310781	−	0.0446835i
$320$	−0.841254	+	0.540641i	−0.0470275	+	0.0302227i
$321$	1.25269	−	0.629195i	0.0699181	−	0.0351182i
$322$	0.302179	−	1.97829i	0.0168398	−	0.110246i
$323$			20.5180i			1.14165i
$324$	6.83390	+	5.85643i	0.379661	+	0.325357i
$325$	−0.108832	+	0.756945i	−0.00603693	+	0.0419878i
$326$	9.33630	+	4.26374i	0.517090	+	0.236147i
$327$	−12.6076	−	13.5044i	−0.697203	−	0.746797i
$328$	−0.310801	−	0.680560i	−0.0171611	−	0.0375776i
$329$	−1.48966	−	1.71916i	−0.0821275	−	0.0947802i
$330$	−2.35943	+	1.64297i	−0.129883	+	0.0904427i
$331$	−9.76203	−	2.86639i	−0.536570	−	0.157551i	0.00221031	−	0.999998i	$-0.499296\pi$
$331$	−9.76203	−	2.86639i	−0.536570	−	0.157551i	−0.538780	+	0.842446i	$0.681115\pi$
$332$	5.19527	−	5.99566i	0.285127	−	0.329055i
$333$	3.01046	+	8.00439i	0.164972	+	0.438638i
$334$	−4.73338	−	3.04196i	−0.258999	−	0.166448i
$335$	−10.8372	−	9.39052i	−0.592101	−	0.513059i
$336$	−0.129302	−	0.711101i	−0.00705399	−	0.0387938i
$337$	−32.9429	+	4.73647i	−1.79451	+	0.258012i	−0.957348	−	0.288937i	$-0.906698\pi$
$337$	−32.9429	+	4.73647i	−1.79451	+	0.258012i	−0.837166	+	0.546949i	$0.815789\pi$
$338$	−9.38277	+	8.13022i	−0.510356	+	0.442226i
$339$	12.5336	+	10.0719i	0.680730	+	0.547033i
$340$	7.54974	−	2.21680i	0.409442	−	0.120223i
$341$	1.51227	−	3.31142i	0.0818943	−	0.179323i
$342$	−5.54673	−	5.51645i	−0.299933	−	0.298296i
$343$	−3.11915	−	4.85349i	−0.168418	−	0.262064i
$344$	−6.51315			−0.351165
$345$	−6.12133	+	5.61509i	−0.329562	+	0.302306i
$346$	9.24348			0.496933
$347$	−2.46933	−	3.84235i	−0.132561	−	0.206268i	0.768627	−	0.639697i	$-0.220940\pi$
$347$	−2.46933	−	3.84235i	−0.132561	−	0.206268i	−0.901188	+	0.433428i	$0.857304\pi$
$348$	−5.54941	+	1.85546i	−0.297480	+	0.0994631i
$349$	−6.70166	+	14.6746i	−0.358731	+	0.785512i	0.641105	+	0.767453i	$0.278476\pi$
$349$	−6.70166	+	14.6746i	−0.358731	+	0.785512i	−0.999837	+	0.0180595i	$0.994251\pi$
$350$	−0.400384	+	0.117563i	−0.0214014	+	0.00628402i
$351$	−3.84615	+	0.998507i	−0.205292	+	0.0532964i
$352$	1.25451	−	1.08704i	0.0668654	−	0.0579392i
$353$	9.45718	−	1.35974i	0.503355	−	0.0723715i	0.114040	−	0.993476i	$-0.463621\pi$
$353$	9.45718	−	1.35974i	0.503355	−	0.0723715i	0.389315	+	0.921105i	$0.372712\pi$
$354$	−18.2953	+	3.32669i	−0.972384	+	0.176812i
$355$	−4.68686	−	4.06119i	−0.248753	−	0.215546i
$356$	8.00566	+	5.14493i	0.424299	+	0.272681i
$357$	−0.600177	+	5.65526i	−0.0317647	+	0.299308i
$358$	−11.9723	+	13.8168i	−0.632756	+	0.730239i
$359$	−5.05887	−	1.48542i	−0.266997	−	0.0783974i	0.145494	−	0.989359i	$-0.453523\pi$
$359$	−5.05887	−	1.48542i	−0.266997	−	0.0783974i	−0.412491	+	0.910962i	$0.635341\pi$
$360$	−1.43054	+	2.63696i	−0.0753958	+	0.138980i
$361$	−7.98949	−	9.22036i	−0.420499	−	0.485282i
$362$	1.51188	+	3.31056i	0.0794627	+	0.173999i
$363$	−10.4381	+	9.74495i	−0.547860	+	0.511477i
$364$	0.290274	+	0.132564i	0.0152145	+	0.00694822i
$365$	0.809189	−	5.62803i	0.0423549	−	0.294585i
$366$	−9.71520	+	16.4253i	−0.507822	+	0.858563i
$367$			9.41345i			0.491378i	0.969349	+	0.245689i	$0.0790142\pi$
$367$			9.41345i			0.491378i	−0.969349	+	0.245689i	$0.920986\pi$
$368$	3.17229	−	3.59675i	0.165367	−	0.187493i
$369$	−1.80050	−	1.34016i	−0.0937302	−	0.0697661i
$370$	−2.39808	+	1.54115i	−0.124670	+	0.0801206i
$371$	0.128412	+	0.0184628i	0.00666681	+	0.000958543i
$372$	−0.140773	−	3.79591i	−0.00729872	−	0.196809i
$373$	−2.74685	−	9.35490i	−0.142226	−	0.484378i	0.857311	−	0.514799i	$-0.172133\pi$
$373$	−2.74685	−	9.35490i	−0.142226	−	0.484378i	−0.999537	+	0.0304207i	$0.990315\pi$
$374$	−11.8809	+	5.42584i	−0.614348	+	0.280563i
$375$	1.60111	+	0.660637i	0.0826811	+	0.0341151i
$376$	−0.775807	−	5.39586i	−0.0400092	−	0.278270i
$377$	0.727851	−	2.47883i	0.0374862	−	0.127666i
$378$	−1.36745	−	1.68272i	−0.0703341	−	0.0865496i
$379$	1.29017	−	2.00754i	0.0662716	−	0.103121i	−0.806536	−	0.591185i	$-0.798660\pi$
$379$	1.29017	−	2.00754i	0.0662716	−	0.103121i	0.872808	+	0.488064i	$0.162297\pi$
$380$	1.40979	−	2.19368i	0.0723207	−	0.112533i
$381$	4.17160	−	16.4380i	0.213718	−	0.842146i
$382$	2.92707	−	9.96870i	0.149762	−	0.510043i
$383$	−4.87866	−	33.9318i	−0.249288	−	1.73383i	−0.602348	−	0.798233i	$-0.705768\pi$
$383$	−4.87866	−	33.9318i	−0.249288	−	1.73383i	0.353061	−	0.935600i	$-0.385141\pi$
$384$	0.660637	−	1.60111i	0.0337130	−	0.0817064i
$385$	0.630079	−	0.287747i	0.0321118	−	0.0146650i
$386$	3.36527	+	11.4611i	0.171288	+	0.583353i
$387$	−17.1237	+	9.41116i	−0.870445	+	0.478396i
$388$	5.99296	+	0.861658i	0.304247	+	0.0437441i
$389$	20.6269	−	13.2561i	1.04583	−	0.672112i	0.0994051	−	0.995047i	$-0.468306\pi$
$389$	20.6269	−	13.2561i	1.04583	−	0.672112i	0.946421	+	0.322935i	$0.104670\pi$
$390$	−0.594512	−	1.18363i	−0.0301043	−	0.0599356i
$391$	−31.9232	+	20.1221i	−1.61443	+	1.01762i
$392$		−	6.82587i		−	0.344759i
$393$	7.98076	+	4.72045i	0.402576	+	0.238115i
$394$	0.839288	−	5.83738i	0.0422827	−	0.294083i
$395$	4.76081	+	2.17419i	0.239542	+	0.109395i
$396$	1.72750	−	4.67061i	0.0868102	−	0.234707i
$397$	−9.69809	−	21.2358i	−0.486733	−	1.06580i	−0.980557	−	0.196235i	$-0.937129\pi$
$397$	−9.69809	−	21.2358i	−0.486733	−	1.06580i	0.493824	−	0.869562i	$-0.335599\pi$
$398$	14.1408	+	16.3194i	0.708815	+	0.818016i
$399$	1.07700	+	1.54665i	0.0539174	+	0.0774295i
$400$	−0.959493	−	0.281733i	−0.0479746	−	0.0140866i
$401$	−23.8713	+	27.5489i	−1.19207	+	1.37573i	−0.282987	+	0.959124i	$0.591325\pi$
$401$	−23.8713	+	27.5489i	−1.19207	+	1.37573i	−0.909088	+	0.416604i	$0.863220\pi$
$402$	24.6984	+	2.62117i	1.23185	+	0.130732i
$403$	1.41087	+	0.906714i	0.0702807	+	0.0451666i
$404$	12.9660	+	11.2351i	0.645083	+	0.558968i
$405$	0.0492627	+	8.99987i	0.00244788	+	0.447207i
$406$	1.39537	−	0.200624i	0.0692510	−	0.00995679i
$407$	3.57609	−	3.09870i	0.177260	−	0.153597i
$408$	−8.53698	+	10.6235i	−0.422644	+	0.525940i
$409$	24.2566	−	7.12237i	1.19941	−	0.352179i	0.379783	−	0.925076i	$-0.375999\pi$
$409$	24.2566	−	7.12237i	1.19941	−	0.352179i	0.819627	+	0.572897i	$0.194180\pi$
$410$	0.310801	−	0.680560i	0.0153494	−	0.0336104i
$411$	3.75377	+	11.2270i	0.185160	+	0.553787i
$412$	6.36667	+	9.90673i	0.313663	+	0.488069i
$413$	4.47998			0.220446
$414$	3.14313	−	14.0400i	0.154476	−	0.690027i
$415$	7.93339			0.389435
$416$	0.413444	+	0.643331i	0.0202708	+	0.0315419i
$417$	−9.11804	−	27.2707i	−0.446512	−	1.33545i
$418$	−1.79814	+	3.93737i	−0.0879497	+	0.192583i
$419$	18.5071	−	5.43417i	0.904129	−	0.265476i	0.203562	−	0.979062i	$-0.434748\pi$
$419$	18.5071	−	5.43417i	0.904129	−	0.265476i	0.700568	+	0.713586i	$0.252930\pi$
$420$	0.452740	−	0.563392i	0.0220914	−	0.0274907i
$421$	4.63468	−	4.01597i	0.225881	−	0.195727i	−0.534567	−	0.845126i	$-0.679525\pi$
$421$	4.63468	−	4.01597i	0.225881	−	0.195727i	0.760447	+	0.649400i	$0.224980\pi$
$422$	6.20411	−	0.892016i	0.302011	−	0.0434227i
$423$	−9.83640	−	13.0652i	−0.478262	−	0.635252i
$424$	0.234959	+	0.203593i	0.0114106	+	0.00988735i
$425$	6.61937	+	4.25401i	0.321087	+	0.206350i
$426$	10.6815	+	1.13360i	0.517521	+	0.0549230i
$427$	3.01077	−	3.47461i	0.145701	−	0.168148i
$428$	−0.776558	−	0.228018i	−0.0375364	−	0.0110217i
$429$	1.25643	+	1.80433i	0.0606610	+	0.0871138i
$430$	−4.26521	−	4.92231i	−0.205686	−	0.237375i
$431$	2.24667	+	4.91952i	0.108218	+	0.236965i	0.955992	−	0.293393i	$-0.0947846\pi$
$431$	2.24667	+	4.91952i	0.108218	+	0.236965i	−0.847773	+	0.530359i	$0.822057\pi$
$432$	−0.576648	−	5.16406i	−0.0277440	−	0.248456i
$433$	28.8357	+	13.1688i	1.38575	+	0.632852i	0.962031	−	0.272940i	$-0.0879961\pi$
$433$	28.8357	+	13.1688i	1.38575	+	0.632852i	0.423722	+	0.905792i	$0.360723\pi$
$434$	−0.130238	+	0.905826i	−0.00625163	+	0.0434811i
$435$	−5.03635	−	2.97890i	−0.241475	−	0.142827i
$436$			10.6665i			0.510832i
$437$	−3.62844	+	11.9678i	−0.173572	+	0.572497i
$438$	4.42030	+	8.80054i	0.211210	+	0.420506i
$439$	−8.73411	+	5.61307i	−0.416856	+	0.267897i	−0.732213	−	0.681076i	$-0.761512\pi$
$439$	−8.73411	+	5.61307i	−0.416856	+	0.267897i	0.315356	+	0.948973i	$0.397876\pi$
$440$	1.64305	+	0.236235i	0.0783295	+	0.0112621i
$441$	−9.86303	−	17.9458i	−0.469668	−	0.854564i
$442$	−1.69525	−	5.77350i	−0.0806350	−	0.274618i
$443$	29.4628	−	13.4552i	1.39982	−	0.639277i	0.434579	−	0.900634i	$-0.356897\pi$
$443$	29.4628	−	13.4552i	1.39982	−	0.639277i	0.965242	+	0.261357i	$0.0841700\pi$
$444$	1.88321	−	4.56413i	0.0893732	−	0.216604i
$445$	1.35432	+	9.41949i	0.0642008	+	0.446526i
$446$	−5.47517	+	18.6467i	−0.259257	+	0.882948i
$447$	−2.92606	+	11.5300i	−0.138398	+	0.545350i
$448$	−0.225602	+	0.351044i	−0.0106587	+	0.0165853i
$449$	−3.19537	+	4.97209i	−0.150799	+	0.234647i	−0.908432	−	0.418034i	$-0.862719\pi$
$449$	−3.19537	+	4.97209i	−0.150799	+	0.234647i	0.757633	+	0.652681i	$0.226356\pi$
$450$	−2.92968	+	0.645716i	−0.138107	+	0.0304394i
$451$	−0.349891	+	1.19162i	−0.0164757	+	0.0561111i
$452$	−1.32114	−	9.18873i	−0.0621412	−	0.432201i
$453$	20.0358	+	8.26698i	0.941362	+	0.388417i
$454$	−21.1960	+	9.67991i	−0.994779	+	0.454301i
$455$	0.0899040	+	0.306185i	0.00421477	+	0.0143542i
$456$	0.167382	+	4.51344i	0.00783840	+	0.211361i
$457$	−12.7530	−	1.83361i	−0.596561	−	0.0857725i	−0.162581	−	0.986695i	$-0.551982\pi$
$457$	−12.7530	−	1.83361i	−0.596561	−	0.0857725i	−0.433980	+	0.900923i	$0.642891\pi$
$458$	21.8553	−	14.0456i	1.02123	−	0.656306i
$459$	−7.09415	+	40.2656i	−0.331127	+	1.87944i
$460$	4.79565	+	0.0420879i	0.223598	+	0.00196236i
$461$		−	23.4946i		−	1.09425i	−0.837051	−	0.547126i	$-0.815722\pi$
$461$		−	23.4946i		−	1.09425i	0.837051	−	0.547126i	$-0.184278\pi$
$462$	−0.610783	+	1.03264i	−0.0284162	+	0.0480426i
$463$	−0.223489	+	1.55440i	−0.0103864	+	0.0722392i	−0.994355	−	0.106100i	$-0.966163\pi$
$463$	−0.223489	+	1.55440i	−0.0103864	+	0.0722392i	0.983969	+	0.178340i	$0.0570726\pi$
$464$	3.07301	+	1.40340i	0.142661	+	0.0651510i
$465$	2.77657	−	2.59218i	0.128760	−	0.120210i
$466$	4.14895	+	9.08494i	0.192197	+	0.420852i
$467$	14.7460	+	17.0178i	0.682364	+	0.787490i	0.986257	−	0.165216i	$-0.0528322\pi$
$467$	14.7460	+	17.0178i	0.682364	+	0.787490i	−0.303893	+	0.952706i	$0.598287\pi$
$468$	2.01656	+	1.09397i	0.0932156	+	0.0505689i
$469$	−5.74139	−	1.68582i	−0.265113	−	0.0778441i
$470$	3.56987	−	4.11985i	0.164666	−	0.190034i
$471$	−1.14440	+	10.7833i	−0.0527312	+	0.496868i
$472$	9.03169	+	5.80431i	0.415717	+	0.267165i
$473$	8.17078	+	7.08002i	0.375693	+	0.325540i
$474$	−8.91892	+	1.62176i	−0.409660	+	0.0744897i
$475$	2.58108	−	0.371104i	0.118428	−	0.0170274i
$476$	2.48143	−	2.15017i	0.113736	−	0.0985530i
$477$	0.911910	+	0.195762i	0.0417535	+	0.00896330i
$478$	18.9168	−	5.55447i	0.865234	−	0.254056i
$479$	8.36279	−	18.3120i	0.382106	−	0.836694i	−0.616670	−	0.787222i	$-0.711519\pi$
$479$	8.36279	−	18.3120i	0.382106	−	0.836694i	0.998775	−	0.0494726i	$-0.0157540\pi$
$480$	1.64266	−	0.549229i	0.0749770	−	0.0250688i
$481$	1.17856	+	1.83388i	0.0537378	+	0.0836177i
$482$	−8.05829			−0.367045
$483$	−1.35016	+	3.19248i	−0.0614344	+	0.145263i
$484$	8.24457			0.374753
$485$	3.27336	+	5.09345i	0.148636	+	0.231281i
$486$	−8.97785	−	12.7436i	−0.407244	−	0.578059i
$487$	2.75041	−	6.02255i	0.124633	−	0.272908i	−0.837023	−	0.547168i	$-0.815706\pi$
$487$	2.75041	−	6.02255i	0.124633	−	0.272908i	0.961655	+	0.274260i	$0.0884330\pi$
$488$	10.5715	−	3.10407i	0.478549	−	0.140515i
$489$	−13.8575	−	11.1358i	−0.626659	−	0.503581i
$490$	5.15865	−	4.47000i	0.233044	−	0.201934i
$491$	−6.40023	+	0.920215i	−0.288838	+	0.0415287i	−0.285211	−	0.958465i	$-0.592064\pi$
$491$	−6.40023	+	0.920215i	−0.288838	+	0.0415287i	−0.00362736	+	0.999993i	$0.501155\pi$
$492$	0.231831	+	1.27496i	0.0104517	+	0.0574798i
$493$	−20.0893	−	17.4075i	−0.904778	−	0.783995i
$494$	−1.67757	−	1.07811i	−0.0754773	−	0.0485063i
$495$	4.66109	−	1.75304i	0.209500	−	0.0787933i
$496$	−1.43616	+	1.65742i	−0.0644855	+	0.0744202i
$497$	−2.48302	−	0.729081i	−0.111379	−	0.0327037i
$498$	−11.2764	+	7.85227i	−0.505309	+	0.351868i
$499$	19.4871	+	22.4893i	0.872361	+	1.00676i	0.999889	+	0.0149231i	$0.00475036\pi$
$499$	19.4871	+	22.4893i	0.872361	+	1.00676i	−0.127528	+	0.991835i	$0.540704\pi$
$500$	−0.415415	−	0.909632i	−0.0185779	−	0.0406800i
$501$	6.65052	+	7.12360i	0.297123	+	0.318259i
$502$	10.1047	+	4.61467i	0.450996	+	0.205963i
$503$	2.90806	−	20.2260i	0.129664	−	0.901834i	−0.816315	−	0.577607i	$-0.803987\pi$
$503$	2.90806	−	20.2260i	0.129664	−	0.901834i	0.945979	−	0.324227i	$-0.105104\pi$
$504$	−0.0858889	+	1.24891i	−0.00382580	+	0.0556309i
$505$			17.1565i			0.763454i
$506$	−7.88945	+	1.06375i	−0.350729	+	0.0472894i
$507$	19.2160	−	9.65175i	0.853412	−	0.428649i
$508$	−8.23700	+	5.29360i	−0.365458	+	0.234865i
$509$	−24.3617	−	3.50269i	−1.07981	−	0.155254i	−0.420628	−	0.907233i	$-0.638190\pi$
$509$	−24.3617	−	3.50269i	−1.07981	−	0.155254i	−0.659187	+	0.751979i	$0.729099\pi$
$510$	−13.6192	+	0.505073i	−0.603069	+	0.0223650i
$511$	−0.668453	−	2.27654i	−0.0295706	−	0.100708i
$512$	−0.909632	+	0.415415i	−0.0402004	+	0.0183589i
$513$	6.96175	+	11.6244i	0.307369	+	0.513229i
$514$	−0.785022	−	5.45995i	−0.0346259	−	0.240828i
$515$	−3.31772	+	11.2991i	−0.146196	+	0.497899i
$516$	10.9345	+	2.77493i	0.481364	+	0.122160i
$517$	−4.89223	+	7.61246i	−0.215160	+	0.334796i
$518$	−0.643101	+	1.00068i	−0.0282562	+	0.0439676i
$519$	−15.5183	−	3.93819i	−0.681176	−	0.172867i
$520$	−0.215449	+	0.733752i	−0.00944807	+	0.0321772i
$521$	−1.63383	−	11.3635i	−0.0715793	−	0.497845i	−0.993800	−	0.111181i	$-0.964537\pi$
$521$	−1.63383	−	11.3635i	−0.0715793	−	0.497845i	0.922221	−	0.386664i	$-0.126373\pi$
$522$	10.1071	−	0.750679i	0.442374	−	0.0328563i
$523$	14.4091	−	6.58041i	0.630066	−	0.287741i	−0.0746733	−	0.997208i	$-0.523791\pi$
$523$	14.4091	−	6.58041i	0.630066	−	0.287741i	0.704739	+	0.709467i	$0.251064\pi$
$524$	−1.50821	−	5.13651i	−0.0658866	−	0.224389i
$525$	0.722265	−	0.0267854i	0.0315222	−	0.00116901i
$526$	−2.38705	−	0.343206i	−0.104080	−	0.0149645i
$527$	14.5168	−	9.32937i	0.632361	−	0.406394i
$528$	−2.56924	+	1.29047i	−0.111812	+	0.0561604i
$529$	−22.1787	+	6.09152i	−0.964290	+	0.264849i
$530$			0.310895i			0.0135044i
$531$	32.1321	+	2.20976i	1.39441	+	0.0958953i
$532$	0.154857	−	1.07705i	0.00671389	−	0.0466961i
$533$	−0.520444	−	0.237679i	−0.0225429	−	0.0102950i
$534$	−11.2482	−	12.0483i	−0.486756	−	0.521380i
$535$	−0.336213	−	0.736204i	−0.0145358	−	0.0318289i
$536$	−9.39052	−	10.8372i	−0.405609	−	0.468097i
$537$	25.9861	−	18.0952i	1.12138	−	0.780868i
$538$	23.4970	+	6.89933i	1.01303	+	0.297451i
$539$	−7.41996	+	8.56310i	−0.319601	+	0.368839i
$540$	3.52511	−	3.81754i	0.151697	−	0.164281i
$541$	13.9705	+	8.97829i	0.600638	+	0.386007i	0.805336	−	0.592818i	$-0.201985\pi$
$541$	13.9705	+	8.97829i	0.600638	+	0.386007i	−0.204698	+	0.978825i	$0.565621\pi$
$542$	−6.90257	−	5.98111i	−0.296491	−	0.256911i
$543$	−1.12773	−	6.20201i	−0.0483956	−	0.266154i
$544$	7.78837	−	1.11980i	0.333924	−	0.0480110i
$545$	−8.06119	+	6.98506i	−0.345303	+	0.299207i
$546$	−0.430843	−	0.346223i	−0.0184384	−	0.0148170i
$547$	34.1812	−	10.0365i	1.46148	−	0.429130i	0.548162	−	0.836372i	$-0.315328\pi$
$547$	34.1812	−	10.0365i	1.46148	−	0.429130i	0.913320	+	0.407243i	$0.133510\pi$
$548$	2.83920	−	6.21699i	0.121285	−	0.265577i
$549$	23.3082	−	23.4361i	0.994770	−	1.00023i
$550$	0.897436	+	1.39644i	0.0382668	+	0.0595443i
$551$	−8.80934			−0.375290
$552$	−6.85814	+	4.68678i	−0.291902	+	0.199483i
$553$	2.18398			0.0928724
$554$	−3.53100	−	5.49435i	−0.150018	−	0.233433i
$555$	4.68258	−	1.56563i	0.198764	−	0.0664574i
$556$	−6.89652	+	15.1013i	−0.292478	+	0.640436i
$557$	34.9566	−	10.2642i	1.48116	−	0.434907i	0.561449	−	0.827511i	$-0.310244\pi$
$557$	34.9566	−	10.2642i	1.48116	−	0.434907i	0.919708	+	0.392604i	$0.128426\pi$
$558$	−1.38092	+	6.43268i	−0.0584588	+	0.272317i
$559$	−3.76423	+	3.26173i	−0.159210	+	0.137956i
$560$	−0.413039	+	0.0593861i	−0.0174541	+	0.00250952i
$561$	22.2578	−	4.04720i	0.939724	−	0.170873i
$562$	3.94405	+	3.41754i	0.166370	+	0.144160i
$563$	−36.2946	−	23.3251i	−1.52964	−	0.983037i	−0.989989	−	0.141145i	$-0.954922\pi$
$563$	−36.2946	−	23.3251i	−1.52964	−	0.983037i	−0.539646	−	0.841892i	$-0.681442\pi$
$564$	−0.996456	+	9.38927i	−0.0419584	+	0.395360i
$565$	6.07922	−	7.01579i	0.255755	−	0.295156i
$566$	11.6329	+	3.41573i	0.488968	+	0.143574i
$567$	1.57880	+	3.40760i	0.0663033	+	0.143106i
$568$	−4.06119	−	4.68686i	−0.170404	−	0.196656i
$569$	0.350378	+	0.767221i	0.0146886	+	0.0321636i	0.916834	−	0.399268i	$-0.130736\pi$
$569$	0.350378	+	0.767221i	0.0146886	+	0.0321636i	−0.902146	+	0.431432i	$0.858009\pi$
$570$	−3.30142	+	3.08217i	−0.138281	+	0.129098i
$571$	37.6098	+	17.1758i	1.57392	+	0.718786i	0.995303	−	0.0968130i	$-0.0308649\pi$
$571$	37.6098	+	17.1758i	1.57392	+	0.718786i	0.578618	+	0.815599i	$0.303592\pi$
$572$	0.180656	−	1.25649i	0.00755361	−	0.0525365i
$573$	−9.16124	+	15.4887i	−0.382716	+	0.647050i
$574$		−	0.312201i		−	0.0130310i
$575$	3.10867	+	3.65187i	0.129641	+	0.152293i
$576$	−1.79125	+	2.40654i	−0.0746356	+	0.100272i
$577$	10.8882	−	6.99745i	0.453284	−	0.291308i	−0.294009	−	0.955803i	$-0.594990\pi$
$577$	10.8882	−	6.99745i	0.453284	−	0.291308i	0.747293	+	0.664495i	$0.231353\pi$
$578$	−44.4556	−	6.39175i	−1.84911	−	0.265862i
$579$	−0.766739	−	20.6750i	−0.0318646	−	0.859224i
$580$	0.951776	+	3.24145i	0.0395204	+	0.134594i
$581$	3.01134	−	1.37523i	0.124931	−	0.0570542i
$582$	−9.69408	−	3.99989i	−0.401832	−	0.165801i
$583$	−0.0734444	−	0.510817i	−0.00304176	−	0.0211559i
$584$	1.60190	−	5.45559i	0.0662873	−	0.225754i
$585$	0.493798	+	2.24042i	0.0204160	+	0.0926298i
$586$	−16.7177	+	26.0132i	−0.690602	+	1.07460i
$587$	21.5259	−	33.4949i	0.888467	−	1.38248i	−0.0352386	−	0.999379i	$-0.511219\pi$
$587$	21.5259	−	33.4949i	0.888467	−	1.38248i	0.923706	−	0.383103i	$-0.125145\pi$
$588$	−2.90817	+	11.4595i	−0.119931	+	0.472582i
$589$	1.61115	−	5.48708i	0.0663863	−	0.226091i
$590$	1.52789	+	10.6267i	0.0629023	+	0.437495i
$591$	−3.89604	+	9.44241i	−0.160262	+	0.388409i
$592$	−2.59300	+	1.18418i	−0.106571	+	0.0486696i
$593$	−4.29136	−	14.6150i	−0.176225	−	0.600167i	−0.999472	−	0.0324843i	$-0.989658\pi$
$593$	−4.29136	−	14.6150i	−0.176225	−	0.600167i	0.823247	−	0.567683i	$-0.192160\pi$
$594$	−4.89010	+	7.10518i	−0.200643	+	0.291529i
$595$	3.24998	+	0.467277i	0.133236	+	0.0191565i
$596$	5.77761	−	3.71305i	0.236660	−	0.152092i
$597$	−16.7872	−	33.4222i	−0.687054	−	1.36788i
$598$	0.0321859	−	3.66737i	0.00131618	−	0.149970i
$599$			24.7702i			1.01208i	0.862510	+	0.506041i	$0.168891\pi$
$599$			24.7702i			1.01208i	−0.862510	+	0.506041i	$0.831109\pi$
$600$	1.49080	+	0.881774i	0.0608615	+	0.0359983i
$601$	−5.81780	+	40.4637i	−0.237313	+	1.65055i	0.427849	+	0.903850i	$0.359272\pi$
$601$	−5.81780	+	40.4637i	−0.237313	+	1.65055i	−0.665162	+	0.746699i	$0.731637\pi$
$602$	−2.47224	−	1.12904i	−0.100761	−	0.0460161i
$603$	−40.3478	−	14.9233i	−1.64309	−	0.607723i
$604$	−5.19836	−	11.3828i	−0.211518	−	0.463161i
$605$	5.39904	+	6.23083i	0.219502	+	0.253319i
$606$	−16.9810	−	24.3861i	−0.689808	−	0.990616i
$607$	−31.6525	−	9.29402i	−1.28474	−	0.377233i	−0.433091	−	0.901350i	$-0.642577\pi$
$607$	−31.6525	−	9.29402i	−1.28474	−	0.377233i	−0.851646	+	0.524117i	$0.824395\pi$
$608$	1.70763	−	1.97071i	0.0692536	−	0.0799230i
$609$	−2.42807	−	0.257684i	−0.0983903	−	0.0104419i
$610$	9.26875	+	5.95666i	0.375281	+	0.241178i
$611$	−3.15057	−	2.72998i	−0.127458	−	0.110443i
$612$	18.8583	−	14.1978i	0.762302	−	0.573914i
$613$	6.74535	−	0.969835i	0.272442	−	0.0391713i	−0.00473956	−	0.999989i	$-0.501509\pi$
$613$	6.74535	−	0.969835i	0.272442	−	0.0391713i	0.277182	+	0.960817i	$0.410600\pi$
$614$	−22.8344	+	19.7861i	−0.921521	+	0.798502i
$615$	−0.811736	+	1.01013i	−0.0327324	+	0.0407323i
$616$	0.664616	−	0.195149i	0.0267782	−	0.00786277i
$617$	−7.49956	+	16.4217i	−0.301921	+	0.661114i	−0.998405	−	0.0564578i	$-0.982019\pi$
$617$	−7.49956	+	16.4217i	−0.301921	+	0.661114i	0.696484	+	0.717572i	$0.254747\pi$
$618$	−6.46781	−	19.3443i	−0.260173	−	0.778140i
$619$	−6.42814	−	10.0024i	−0.258369	−	0.402029i	0.687700	−	0.725995i	$-0.258620\pi$
$619$	−6.42814	−	10.0024i	−0.258369	−	0.402029i	−0.946069	+	0.323965i	$0.894984\pi$
$620$	−2.19308			−0.0880761
$621$	−11.2585	+	22.2316i	−0.451789	+	0.892125i
$622$	−14.8444			−0.595205
$623$	2.14691	+	3.34065i	0.0860141	+	0.133841i
$624$	−0.420012	−	1.25619i	−0.0168139	−	0.0502880i
$625$	0.415415	−	0.909632i	0.0166166	−	0.0363853i
$626$	27.2232	−	7.99345i	1.08806	−	0.319482i
$627$	4.69629	−	5.84409i	0.187552	−	0.233390i
$628$	4.73152	−	4.09989i	0.188808	−	0.163603i
$629$	22.2015	−	3.19210i	0.885233	−	0.127277i
$630$	−1.00011	+	0.752951i	−0.0398453	+	0.0299983i
$631$	−17.5970	−	15.2479i	−0.700526	−	0.607009i	0.230019	−	0.973186i	$-0.426121\pi$
$631$	−17.5970	−	15.2479i	−0.700526	−	0.607009i	−0.930545	+	0.366177i	$0.880667\pi$
$632$	4.40293	+	2.82959i	0.175139	+	0.112555i
$633$	−10.7957	−	1.14572i	−0.429091	−	0.0455382i
$634$	−17.4778	+	20.1704i	−0.694131	+	0.801070i
$635$	−9.39472	−	2.75854i	−0.372818	−	0.109469i
$636$	−0.307716	−	0.441903i	−0.0122017	−	0.0175226i
$637$	−3.41834	−	3.94497i	−0.135439	−	0.156305i
$638$	−2.32956	−	5.10103i	−0.0922283	−	0.201952i
$639$	−17.4495	−	6.45399i	−0.690292	−	0.255316i
$640$	−0.909632	−	0.415415i	−0.0359564	−	0.0164207i
$641$	−1.12575	+	7.82973i	−0.0444643	+	0.309256i	0.955437	+	0.295195i	$0.0953848\pi$
$641$	−1.12575	+	7.82973i	−0.0444643	+	0.309256i	−0.999901	+	0.0140603i	$0.995524\pi$
$642$	1.20656	+	0.713657i	0.0476193	+	0.0281658i
$643$		−	29.8117i		−	1.17566i	−0.808985	−	0.587830i	$-0.799982\pi$
$643$		−	29.8117i		−	1.17566i	0.808985	−	0.587830i	$-0.200018\pi$
$644$	1.82761	−	0.815336i	0.0720181	−	0.0321287i
$645$	5.06342	+	10.0809i	0.199372	+	0.396936i
$646$	−17.2609	+	11.0929i	−0.679119	+	0.436443i
$647$	5.29425	+	0.761198i	0.208138	+	0.0299258i	0.245595	−	0.969372i	$-0.421017\pi$
$647$	5.29425	+	0.761198i	0.208138	+	0.0299258i	−0.0374569	+	0.999298i	$0.511926\pi$
$648$	−1.23205	+	8.91527i	−0.0483996	+	0.350225i
$649$	−5.02081	−	17.0993i	−0.197084	−	0.671207i
$650$	−0.695622	+	0.317680i	−0.0272846	+	0.0124604i
$651$	0.604576	−	1.46524i	0.0236952	−	0.0574274i
$652$	1.46069	+	10.1593i	0.0572052	+	0.397871i
$653$	0.497497	−	1.69432i	0.0194686	−	0.0663038i	−0.949186	−	0.314716i	$-0.898091\pi$
$653$	0.497497	−	1.69432i	0.0194686	−	0.0663038i	0.968654	+	0.248412i	$0.0799088\pi$
$654$	4.54446	−	17.9072i	0.177702	−	0.700229i
$655$	2.89424	−	4.50353i	0.113087	−	0.175967i
$656$	0.404491	−	0.629401i	0.0157927	−	0.0245740i
$657$	−3.67148	−	16.6579i	−0.143238	−	0.649887i
$658$	0.640877	−	2.18263i	0.0249840	−	0.0850877i
$659$	−2.65372	−	18.4570i	−0.103374	−	0.718983i	−0.973919	−	0.226895i	$-0.927143\pi$
$659$	−2.65372	−	18.4570i	−0.103374	−	0.718983i	0.870545	−	0.492089i	$-0.163766\pi$
$660$	−2.65776	−	1.09662i	−0.103453	−	0.0426860i
$661$	27.4885	−	12.5536i	1.06918	−	0.488277i	0.198485	−	0.980104i	$-0.436398\pi$
$661$	27.4885	−	12.5536i	1.06918	−	0.488277i	0.870693	+	0.491826i	$0.163671\pi$
$662$	−2.86639	−	9.76203i	−0.111405	−	0.379412i
$663$	0.386244	+	10.4150i	0.0150005	+	0.404486i
$664$	7.85264	+	1.12904i	0.304742	+	0.0438152i
$665$	0.915391	−	0.588286i	0.0354973	−	0.0228128i
$666$	−5.10614	+	6.86007i	−0.197859	+	0.265822i
$667$	−8.63937	−	13.7061i	−0.334518	−	0.530703i
$668$		−	5.62658i		−	0.217699i
$669$	17.1363	−	28.9720i	0.662529	−	1.12012i
$670$	2.04075	−	14.1938i	0.0788412	−	0.548353i
$671$	−16.6362	−	7.59751i	−0.642234	−	0.293299i
$672$	0.528311	−	0.493226i	0.0203800	−	0.0190266i
$673$	4.13866	+	9.06240i	0.159534	+	0.349330i	0.972472	−	0.233020i	$-0.0748607\pi$
$673$	4.13866	+	9.06240i	0.159534	+	0.349330i	−0.812938	+	0.582350i	$0.802133\pi$
$674$	−21.7948	−	25.1526i	−0.839506	−	0.968842i
$675$	5.19356	+	0.164143i	0.199900	+	0.00631788i
$676$	−11.9123	−	3.49776i	−0.458165	−	0.134529i
$677$	10.7602	−	12.4180i	0.413550	−	0.477262i	−0.510311	−	0.859990i	$-0.670470\pi$
$677$	10.7602	−	12.4180i	0.413550	−	0.477262i	0.923861	+	0.382728i	$0.125015\pi$
$678$	−1.69689	+	15.9892i	−0.0651686	+	0.614062i
$679$	2.12543	+	1.36593i	0.0815664	+	0.0524195i
$680$	5.94659	+	5.15275i	0.228041	+	0.197599i
$681$	39.7087	−	7.22037i	1.52164	−	0.276685i
$682$	3.60334	−	0.518082i	0.137979	−	0.0198384i
$683$	−12.7487	+	11.0468i	−0.487817	+	0.422696i	−0.863727	−	0.503961i	$-0.831876\pi$
$683$	−12.7487	+	11.0468i	−0.487817	+	0.422696i	0.375910	+	0.926656i	$0.377330\pi$
$684$	1.64195	−	7.64863i	0.0627814	−	0.292453i
$685$	6.55777	−	1.92554i	0.250560	−	0.0735709i
$686$	2.39667	−	5.24799i	0.0915055	−	0.200369i
$687$	−42.6756	+	14.2687i	−1.62817	+	0.544385i
$688$	−3.52127	−	5.47921i	−0.134247	−	0.208893i
$689$	0.237751			0.00905758
$690$	−8.03316	−	2.11385i	−0.305817	−	0.0804728i
$691$	24.9351			0.948574			0.474287	−	0.880370i	$-0.342706\pi$
$691$	24.9351			0.948574			0.474287	+	0.880370i	$0.342706\pi$
$692$	4.99740	+	7.77611i	0.189973	+	0.295603i
$693$	1.46536	−	1.47340i	0.0556643	−	0.0559698i
$694$	1.89737	−	4.15467i	0.0720233	−	0.157709i
$695$	−15.9290	+	4.67719i	−0.604223	+	0.177416i
$696$	−4.56115	−	3.66532i	−0.172890	−	0.138934i
$697$	−4.44906	+	3.85513i	−0.168520	+	0.146024i
$698$	−15.9682	+	2.29589i	−0.604407	+	0.0869005i
$699$	−3.09476	−	17.0198i	−0.117054	−	0.643746i
$700$	−0.315364	−	0.273265i	−0.0119196	−	0.0103284i
$701$	−18.4499	−	11.8570i	−0.696841	−	0.447833i	0.143671	−	0.989626i	$-0.454109\pi$
$701$	−18.4499	−	11.8570i	−0.696841	−	0.447833i	−0.840512	+	0.541793i	$0.817746\pi$
$702$	−2.91938	−	2.69575i	−0.110185	−	0.101745i
$703$	4.86777	−	5.61771i	0.183592	−	0.211876i
$704$	1.59271	+	0.467662i	0.0600275	+	0.0176257i
$705$	−7.74848	+	5.39560i	−0.291825	+	0.203210i
$706$	6.25682	+	7.22076i	0.235479	+	0.271757i
$707$	2.97403	+	6.51221i	0.111850	+	0.244917i
$708$	−12.6898	−	13.5924i	−0.476911	−	0.510835i
$709$	−34.6268	−	15.8135i	−1.30044	−	0.593890i	−0.359714	−	0.933063i	$-0.617126\pi$
$709$	−34.6268	−	15.8135i	−1.30044	−	0.593890i	−0.940724	+	0.339172i	$0.889853\pi$
$710$	0.882581	−	6.13848i	0.0331227	−	0.230373i
$711$	15.6643	+	1.07725i	0.587458	+	0.0404002i
$712$			9.51635i			0.356640i
$713$	10.1172	−	2.87448i	0.378892	−	0.107650i
$714$	−5.08199	+	2.55257i	−0.190189	+	0.0955274i
$715$	1.06790	−	0.686296i	0.0399371	−	0.0256660i
$716$	−18.0961	−	2.60183i	−0.676284	−	0.0972349i
$717$	−34.1246	+	1.26552i	−1.27441	+	0.0472618i
$718$	−1.48542	−	5.05887i	−0.0554353	−	0.188795i
$719$	−0.119704	+	0.0546669i	−0.00446420	+	0.00203873i	−0.417646	−	0.908610i	$-0.637145\pi$
$719$	−0.119704	+	0.0546669i	−0.00446420	+	0.00203873i	0.413182	+	0.910649i	$0.364417\pi$
$720$	−2.99176	+	0.222206i	−0.111496	+	0.00828114i
$721$	0.699339	+	4.86401i	0.0260448	+	0.181145i
$722$	3.43722	−	11.7061i	0.127920	−	0.435655i
$723$	13.5285	+	3.43324i	0.503131	+	0.127683i
$724$	−1.96763	+	3.06170i	−0.0731266	+	0.113787i
$725$	−1.82644	+	2.84200i	−0.0678325	+	0.105549i
$726$	−13.8413	−	3.51260i	−0.513697	−	0.130365i
$727$	12.9253	−	44.0196i	0.479373	−	1.63260i	−0.264579	−	0.964364i	$-0.585233\pi$
$727$	12.9253	−	44.0196i	0.479373	−	1.63260i	0.743953	−	0.668232i	$-0.232949\pi$
$728$	0.0454143	+	0.315863i	0.00168316	+	0.0117067i
$729$	9.64292	+	25.2193i	0.357145	+	0.934049i
$730$	5.17208	−	2.36201i	0.191427	−	0.0874219i
$731$	14.4384	+	49.1726i	0.534022	+	1.81871i
$732$	−19.0703	+	0.707226i	−0.704857	+	0.0261398i
$733$	−41.9068	−	6.02529i	−1.54786	−	0.222549i	−0.685210	−	0.728346i	$-0.740290\pi$
$733$	−41.9068	−	6.02529i	−1.54786	−	0.222549i	−0.862653	+	0.505796i	$0.831199\pi$
$734$	−7.91910	+	5.08929i	−0.292299	+	0.187849i
$735$	−10.5650	+	5.30653i	−0.389694	+	0.195734i
$736$	4.74084	+	0.724151i	0.174750	+	0.0266926i
$737$			23.8032i			0.876802i
$738$	0.153994	−	2.23922i	0.00566859	−	0.0824269i
$739$	3.05704	−	21.2622i	0.112455	−	0.782143i	−0.853063	−	0.521808i	$-0.825258\pi$
$739$	3.05704	−	21.2622i	0.112455	−	0.782143i	0.965518	−	0.260335i	$-0.0838331\pi$
$740$	−2.59300	−	1.18418i	−0.0953204	−	0.0435314i
$741$	2.35703	+	2.52469i	0.0865876	+	0.0927468i
$742$	0.0538928	+	0.118009i	0.00197847	+	0.00433223i
$743$	−7.86267	−	9.07400i	−0.288453	−	0.332893i	0.592966	−	0.805227i	$-0.297957\pi$
$743$	−7.86267	−	9.07400i	−0.288453	−	0.332893i	−0.881419	+	0.472335i	$0.843411\pi$
$744$	3.11722	−	2.17065i	0.114283	−	0.0795799i
$745$	6.58967	+	1.93490i	0.241427	+	0.0708893i
$746$	6.38479	−	7.36844i	0.233764	−	0.269778i
$747$	22.2767	−	8.37831i	0.815063	−	0.306546i
$748$	−10.9878	−	7.06144i	−0.401755	−	0.258192i
$749$	−0.255238	−	0.221165i	−0.00932618	−	0.00808118i
$750$	0.309863	+	1.70411i	0.0113146	+	0.0622252i
$751$	13.2635	−	1.90700i	0.483991	−	0.0695874i	0.103999	−	0.994577i	$-0.466836\pi$
$751$	13.2635	−	1.90700i	0.483991	−	0.0695874i	0.379991	+	0.924990i	$0.375927\pi$
$752$	4.11985	−	3.56987i	0.150235	−	0.130180i
$753$	−14.9981	−	12.0524i	−0.546560	−	0.439213i
$754$	2.47883	−	0.727851i	0.0902738	−	0.0265068i
$755$	5.19836	−	11.3828i	0.189188	−	0.414263i
$756$	0.676292	−	2.06012i	0.0245965	−	0.0749258i
$757$	−8.33825	−	12.9746i	−0.303059	−	0.471569i	0.656006	−	0.754756i	$-0.272245\pi$
$757$	−8.33825	−	12.9746i	−0.303059	−	0.471569i	−0.959065	+	0.283187i	$0.908608\pi$
$758$	2.38637			0.0866769
$759$	13.6983	+	1.57545i	0.497216	+	0.0571850i
$760$	2.60763			0.0945886
$761$	−28.4762	−	44.3098i	−1.03226	−	1.60623i	−0.766558	−	0.642175i	$-0.778032\pi$
$761$	−28.4762	−	44.3098i	−1.03226	−	1.60623i	−0.265703	−	0.964055i	$-0.585604\pi$
$762$	16.0839	−	5.37769i	0.582658	−	0.194813i
$763$	−1.84900	+	4.04875i	−0.0669384	+	0.146575i
$764$	9.96870	−	2.92707i	0.360655	−	0.105898i
$765$	23.0796	+	4.95454i	0.834444	+	0.179132i
$766$	25.9076	−	22.4491i	0.936081	−	0.811119i
$767$	8.12656	−	1.16842i	0.293433	−	0.0421893i
$768$	1.70411	−	0.309863i	0.0614917	−	0.0111812i
$769$	−12.4089	−	10.7524i	−0.447476	−	0.387740i	0.401767	−	0.915742i	$-0.368396\pi$
$769$	−12.4089	−	10.7524i	−0.447476	−	0.387740i	−0.849243	+	0.528002i	$0.822941\pi$
$770$	0.582715	+	0.374488i	0.0209996	+	0.0134956i
$771$	−1.00829	+	9.50081i	−0.0363128	+	0.342163i
$772$	−7.82226	+	9.02737i	−0.281529	+	0.324902i
$773$	25.6912	+	7.54362i	0.924048	+	0.271325i	0.708943	−	0.705266i	$-0.249172\pi$
$773$	25.6912	+	7.54362i	0.924048	+	0.271325i	0.215105	+	0.976591i	$0.430991\pi$
$774$	−17.1749	−	9.31729i	−0.617340	−	0.334903i
$775$	−1.43616	−	1.65742i	−0.0515884	−	0.0595362i
$776$	2.51517	+	5.50745i	0.0902893	+	0.197706i
$777$	1.50600	−	1.40599i	0.0540275	−	0.0504396i
$778$	22.3035	+	10.1857i	0.799619	+	0.365174i
$779$	−0.277649	+	1.93109i	−0.00994781	+	0.0691885i
$780$	0.674319	−	1.14006i	0.0241445	−	0.0408205i
$781$			10.2944i			0.368361i
$782$	−34.1868	−	15.9767i	−1.22252	−	0.571324i
$783$	−17.2879	−	3.04585i	−0.617818	−	0.108850i
$784$	5.74229	−	3.69034i	0.205082	−	0.131798i
$785$	6.19698	+	0.890991i	0.221180	+	0.0318008i
$786$	0.343629	+	9.26591i	0.0122568	+	0.330504i
$787$	−11.6370	−	39.6320i	−0.414815	−	1.41273i	−0.856773	−	0.515694i	$-0.827534\pi$
$787$	−11.6370	−	39.6320i	−0.414815	−	1.41273i	0.441958	−	0.897036i	$-0.354284\pi$
$788$	5.36447	−	2.44987i	0.191101	−	0.0872730i
$789$	3.86123	+	1.59319i	0.137464	+	0.0567190i
$790$	0.744844	+	5.18050i	0.0265004	+	0.184314i
$791$	1.09136	−	3.71685i	0.0388045	−	0.132156i
$792$	4.86313	−	1.07186i	0.172804	−	0.0380868i
$793$	4.55524	−	7.08808i	0.161761	−	0.251705i
$794$	12.6216	−	19.6395i	0.447922	−	0.696980i
$795$	0.132457	−	0.521941i	0.00469777	−	0.0185113i
$796$	−6.08362	+	20.7189i	−0.215628	+	0.734362i
$797$	0.291988	+	2.03082i	0.0103428	+	0.0719355i	0.994339	−	0.106253i	$-0.0338854\pi$
$797$	0.291988	+	2.03082i	0.0103428	+	0.0719355i	−0.983996	+	0.178189i	$0.942976\pi$
$798$	−0.718857	+	1.74221i	−0.0254473	+	0.0616737i
$799$	−39.0175	+	17.8187i	−1.38034	+	0.630380i
$800$	−0.281733	−	0.959493i	−0.00996075	−	0.0339232i
$801$	13.7506	+	25.0194i	0.485854	+	0.884016i
$802$	−36.0814	−	5.18772i	−1.27408	−	0.183185i
$803$	−7.94001	+	5.10274i	−0.280197	+	0.180072i
$804$	11.1479	+	22.1947i	0.393156	+	0.782748i
$805$	1.81302	+	0.847287i	0.0639006	+	0.0298629i
$806$			1.67711i			0.0590737i
$807$	−36.5080	−	21.5937i	−1.28514	−	0.760135i
$808$	−2.44162	+	16.9819i	−0.0858960	+	0.597420i
$809$	22.6821	+	10.3586i	0.797461	+	0.364188i	0.772109	−	0.635490i	$-0.219202\pi$
$809$	22.6821	+	10.3586i	0.797461	+	0.364188i	0.0253521	+	0.999679i	$0.491929\pi$
$810$	−7.54453	+	4.90714i	−0.265088	+	0.172419i
$811$	2.63202	+	5.76331i	0.0924226	+	0.202377i	0.950198	−	0.311648i	$-0.100881\pi$
$811$	2.63202	+	5.76331i	0.0924226	+	0.202377i	−0.857775	+	0.514025i	$0.828154\pi$
$812$	0.923169	+	1.06539i	0.0323969	+	0.0373880i
$813$	9.04001	+	12.9821i	0.317047	+	0.455303i
$814$	4.54018	+	1.33312i	0.159133	+	0.0467257i
$815$	−6.72137	+	7.75688i	−0.235439	+	0.271712i
$816$	−13.5525	−	1.43828i	−0.474431	−	0.0503500i
$817$	14.2877	+	9.18217i	0.499865	+	0.321243i
$818$	19.1058	+	16.5553i	0.668019	+	0.578842i
$819$	0.575804	+	0.764812i	0.0201202	+	0.0267247i
$820$	0.740555	−	0.106476i	0.0258613	−	0.00371829i
$821$	−37.2584	+	32.2846i	−1.30033	+	1.12674i	−0.316312	+	0.948655i	$0.602445\pi$
$821$	−37.2584	+	32.2846i	−1.30033	+	1.12674i	−0.984015	+	0.178085i	$0.943010\pi$
$822$	−7.41530	+	9.22764i	−0.258638	+	0.321851i
$823$	36.7927	−	10.8033i	1.28251	−	0.376580i	0.431685	−	0.902024i	$-0.357919\pi$
$823$	36.7927	−	10.8033i	1.28251	−	0.376580i	0.850828	+	0.525445i	$0.176101\pi$
$824$	−4.89199	+	10.7120i	−0.170421	+	0.373169i
$825$	−0.911693	−	2.72674i	−0.0317411	−	0.0949329i
$826$	2.42206	+	3.76880i	0.0842743	+	0.131133i
$827$	7.34554			0.255429			0.127715	−	0.991811i	$-0.459236\pi$
$827$	7.34554			0.255429			0.127715	+	0.991811i	$0.459236\pi$
$828$	13.5105	−	4.94641i	0.469522	−	0.171900i
$829$	51.4785			1.78792			0.893961	−	0.448144i	$-0.147915\pi$
$829$	51.4785			1.78792			0.893961	+	0.448144i	$0.147915\pi$
$830$	4.28912	+	6.67400i	0.148877	+	0.231658i
$831$	3.58710	+	10.7285i	0.124435	+	0.372167i
$832$	−0.317680	+	0.695622i	−0.0110136	+	0.0241164i
$833$	−51.5335	+	15.1316i	−1.78553	+	0.524279i
$834$	18.0120	−	22.4142i	0.623705	−	0.776142i
$835$	4.25228	−	3.68462i	0.147156	−	0.127512i
$836$	−4.28447	+	0.616014i	−0.148181	+	0.0213053i
$837$	5.05897	−	10.2110i	0.174864	−	0.352946i
$838$	14.5772	+	12.6312i	0.503561	+	0.436338i
$839$	16.6252	+	10.6844i	0.573967	+	0.368866i	0.795193	−	0.606356i	$-0.207370\pi$
$839$	16.6252	+	10.6844i	0.573967	+	0.368866i	−0.221226	+	0.975223i	$0.571006\pi$
$840$	0.718725	+	0.0762762i	0.0247984	+	0.00263178i
$841$	−11.5171	+	13.2915i	−0.397142	+	0.458326i
$842$	5.88415	+	1.72774i	0.202781	+	0.0595419i
$843$	−5.16536	−	7.41785i	−0.177904	−	0.255484i
$844$	4.10461	+	4.73697i	0.141286	+	0.163053i
$845$	−5.15746	−	11.2933i	−0.177422	−	0.388500i
$846$	5.67319	−	15.3385i	0.195048	−	0.527348i
$847$	3.12945	+	1.42917i	0.107529	+	0.0491069i
$848$	−0.0442450	+	0.307731i	−0.00151938	+	0.0105675i
$849$	−18.0745	−	10.6907i	−0.620314	−	0.366902i
$850$			7.86846i			0.269886i
$851$	13.5142	+	2.06426i	0.463262	+	0.0707621i
$852$	4.82122	+	9.59873i	0.165172	+	0.328847i
$853$	−37.9240	+	24.3723i	−1.29849	+	0.834490i	−0.993047	−	0.117719i	$-0.962442\pi$
$853$	−37.9240	+	24.3723i	−1.29849	+	0.834490i	−0.305445	+	0.952210i	$0.598805\pi$
$854$	4.55078	+	0.654303i	0.155724	+	0.0223898i
$855$	6.85569	−	3.76788i	0.234460	−	0.128859i
$856$	−0.228018	−	0.776558i	−0.00779350	−	0.0265422i
$857$	15.9729	−	7.29456i	0.545622	−	0.249177i	−0.123481	−	0.992347i	$-0.539406\pi$
$857$	15.9729	−	7.29456i	0.545622	−	0.249177i	0.669103	+	0.743170i	$0.266678\pi$
$858$	−0.838620	+	2.03247i	−0.0286300	+	0.0693874i
$859$	−5.04797	−	35.1094i	−0.172235	−	1.19792i	−0.874149	−	0.485657i	$-0.838580\pi$
$859$	−5.04797	−	35.1094i	−0.172235	−	1.19792i	0.701915	−	0.712261i	$-0.252329\pi$
$860$	1.83497	−	6.24932i	0.0625718	−	0.213100i
$861$	−0.133014	+	0.524134i	−0.00453309	+	0.0178624i
$862$	−2.92392	+	4.54972i	−0.0995893	+	0.154964i
$863$	1.91993	−	2.98746i	0.0653550	−	0.101694i	−0.807038	−	0.590500i	$-0.798931\pi$
$863$	1.91993	−	2.98746i	0.0653550	−	0.101694i	0.872393	+	0.488805i	$0.162567\pi$
$864$	4.03252	−	3.27701i	0.137189	−	0.111486i
$865$	−2.60419	+	8.86906i	−0.0885451	+	0.301557i
$866$	4.51143	+	31.3777i	0.153305	+	1.06626i
$867$	71.9103	+	29.6710i	2.44220	+	1.00768i
$868$	−0.832442	+	0.380163i	−0.0282549	+	0.0129036i
$869$	−2.44764	−	8.33588i	−0.0830304	−	0.282775i
$870$	−0.216851	−	5.84736i	−0.00735195	−	0.198244i
$871$	−10.8544	−	1.56062i	−0.367787	−	0.0528798i
$872$	−8.97322	+	5.76674i	−0.303871	+	0.195286i
$873$	14.5706	+	10.8453i	0.493140	+	0.367058i
$874$	−12.0296	+	3.41783i	−0.406908	+	0.115610i
$875$		−	0.417287i		−	0.0141069i
$876$	−5.01369	+	8.47653i	−0.169397	+	0.286395i
$877$	−7.18213	+	49.9528i	−0.242523	+	1.68679i	0.396846	+	0.917885i	$0.370105\pi$
$877$	−7.18213	+	49.9528i	−0.242523	+	1.68679i	−0.639369	+	0.768900i	$0.720804\pi$
$878$	−9.44403	−	4.31295i	−0.318721	−	0.145555i
$879$	39.1492	−	36.5493i	1.32047	−	1.23278i
$880$	0.689568	+	1.50994i	0.0232453	+	0.0509002i
$881$	−25.3554	−	29.2617i	−0.854245	−	0.985851i	0.145749	−	0.989322i	$-0.453441\pi$
$881$	−25.3554	−	29.2617i	−0.854245	−	0.985851i	−0.999994	+	0.00347066i	$0.998895\pi$
$882$	9.76465	−	17.9996i	0.328793	−	0.606077i
$883$	1.05579	+	0.310009i	0.0355303	+	0.0104326i	0.299449	−	0.954112i	$-0.403197\pi$
$883$	1.05579	+	0.310009i	0.0355303	+	0.0104326i	−0.263919	+	0.964545i	$0.585015\pi$
$884$	3.94046	−	4.54753i	0.132532	−	0.152950i
$885$	1.96244	−	18.4914i	0.0659668	−	0.621583i
$886$	27.2481	+	17.5113i	0.915416	+	0.588302i
$887$	4.99843	+	4.33117i	0.167831	+	0.145426i	0.734727	−	0.678363i	$-0.237310\pi$
$887$	4.99843	+	4.33117i	0.167831	+	0.145426i	−0.566896	+	0.823789i	$0.691856\pi$
$888$	4.85773	−	0.883296i	0.163015	−	0.0296415i
$889$	−4.04421	+	0.581469i	−0.135638	+	0.0195018i
$890$	−7.19198	+	6.23188i	−0.241076	+	0.208893i
$891$	11.2368	−	9.84497i	0.376448	−	0.329819i
$892$	−18.6467	+	5.47517i	−0.624338	+	0.183322i
$893$	−5.90515	+	12.9305i	−0.197608	+	0.432702i
$894$	−11.2816	+	3.77203i	−0.377313	+	0.126156i
$895$	−9.88411	−	15.3800i	−0.330389	−	0.514096i
$896$	−0.417287			−0.0139406
$897$	−1.61652	+	6.14319i	−0.0539740	+	0.205115i
$898$	−5.91033			−0.197230
$899$	4.00553	+	6.23273i	0.133592	+	0.207873i
$900$	−2.12712	−	2.11551i	−0.0709039	−	0.0705169i
$901$	1.01622	−	2.22520i	0.0338551	−	0.0741322i
$902$	−1.19162	+	0.349891i	−0.0396765	+	0.0116501i
$903$	3.66946	+	2.94876i	0.122112	+	0.0981287i
$904$	7.01579	−	6.07922i	0.233342	−	0.202192i
$905$	−3.60240	+	0.517947i	−0.119748	+	0.0172172i
$906$	3.87752	+	21.3246i	0.128822	+	0.708463i
$907$	−4.86045	−	4.21160i	−0.161389	−	0.139844i	0.570423	−	0.821351i	$-0.306779\pi$
$907$	−4.86045	−	4.21160i	−0.161389	−	0.139844i	−0.731811	+	0.681507i	$0.761325\pi$
$908$	−19.6027	−	12.5979i	−0.650538	−	0.418076i
$909$	18.1187	+	48.1749i	0.600958	+	1.59786i
$910$	−0.208973	+	0.241168i	−0.00692740	+	0.00799465i
$911$	48.5019	+	14.2415i	1.60694	+	0.471840i	0.957467	−	0.288543i	$-0.0931709\pi$
$911$	48.5019	+	14.2415i	1.60694	+	0.471840i	0.649474	+	0.760384i	$0.274989\pi$
$912$	−3.70645	+	2.58096i	−0.122733	+	0.0854641i
$913$	−8.62388	−	9.95249i	−0.285409	−	0.329379i
$914$	−5.35227	−	11.7198i	−0.177037	−	0.387658i
$915$	−13.0228	−	13.9492i	−0.430522	−	0.461146i
$916$	23.6318	+	10.7923i	0.780816	+	0.356587i
$917$	0.317915	−	2.21114i	0.0104985	−	0.0730184i
$918$	−37.7089	+	15.8012i	−1.24458	+	0.521518i
$919$			23.3109i			0.768954i	0.923135	+	0.384477i	$0.125618\pi$
$919$			23.3109i			0.768954i	−0.923135	+	0.384477i	$0.874382\pi$
$920$	2.55732	+	4.05711i	0.0843122	+	0.133759i
$921$	46.7650	−	23.4890i	1.54096	−	0.773988i
$922$	19.7649	−	12.7021i	0.650922	−	0.418322i
$923$	−4.69428	−	0.674935i	−0.154514	−	0.0222158i
$924$	−1.19892	+	0.0444624i	−0.0394417	+	0.00146271i
$925$	−0.803106	−	2.73513i	−0.0264060	−	0.0899305i
$926$	−1.42847	+	0.652362i	−0.0469426	+	0.0214379i
$927$	2.61673	+	35.2314i	0.0859448	+	1.15715i
$928$	0.480782	+	3.34391i	0.0157824	+	0.109769i
$929$	1.33486	−	4.54611i	0.0437953	−	0.149153i	−0.934693	−	0.355457i	$-0.884325\pi$
$929$	1.33486	−	4.54611i	0.0437953	−	0.149153i	0.978488	+	0.206304i	$0.0661435\pi$
$930$	3.68181	+	0.934361i	0.120731	+	0.0306389i
$931$	−9.62304	+	14.9737i	−0.315382	+	0.490745i
$932$	−5.39964	+	8.40201i	−0.176871	+	0.275217i
$933$	24.9212	+	6.32445i	0.815885	+	0.207053i
$934$	−6.34399	+	21.6056i	−0.207582	+	0.706958i
$935$	−1.85881	−	12.9283i	−0.0607896	−	0.422801i
$936$	0.169928	+	2.28789i	0.00555426	+	0.0747819i
$937$	−23.0044	+	10.5057i	−0.751520	+	0.343207i	−0.754074	−	0.656789i	$-0.771914\pi$
$937$	−23.0044	+	10.5057i	−0.751520	+	0.343207i	0.00255461	+	0.999997i	$0.499187\pi$
$938$	−1.68582	−	5.74139i	−0.0550441	−	0.187463i
$939$	−49.1088	+	1.82121i	−1.60260	+	0.0594331i
$940$	5.39586	+	0.775807i	0.175993	+	0.0253040i
$941$	−8.66420	+	5.56814i	−0.282445	+	0.181516i	−0.674191	−	0.738557i	$-0.735508\pi$
$941$	−8.66420	+	5.56814i	−0.282445	+	0.181516i	0.391746	+	0.920073i	$0.371871\pi$
$942$	−9.69019	+	4.86716i	−0.315724	+	0.158581i
$943$	−3.27680	+	1.46185i	−0.106707	+	0.0476044i
$944$			10.7360i			0.349427i
$945$	1.99981	−	0.837983i	0.0650538	−	0.0272596i
$946$	−1.53864	+	10.7015i	−0.0500254	+	0.347934i
$947$	46.8963	+	21.4168i	1.52393	+	0.695953i	0.988859	−	0.148857i	$-0.0475593\pi$
$947$	46.8963	+	21.4168i	1.52393	+	0.695953i	0.535067	+	0.844810i	$0.320287\pi$
$948$	−6.18624	−	6.62629i	−0.200920	−	0.215212i
$949$	−1.80630	−	3.95524i	−0.0586349	−	0.128393i
$950$	1.70763	+	1.97071i	0.0554029	+	0.0639384i
$951$	37.9359	−	26.4164i	1.23016	−	0.856610i
$952$	3.15040	+	0.925042i	0.102105	+	0.0299808i
$953$	−13.8200	+	15.9491i	−0.447673	+	0.516642i	−0.934067	−	0.357098i	$-0.883766\pi$
$953$	−13.8200	+	15.9491i	−0.447673	+	0.516642i	0.486394	+	0.873739i	$0.338312\pi$
$954$	0.328331	+	0.872984i	0.0106301	+	0.0282639i
$955$	8.74024	+	5.61701i	0.282828	+	0.181762i
$956$	14.8999	+	12.9108i	0.481898	+	0.417567i
$957$	1.73765	+	9.55630i	0.0561703	+	0.308911i
$958$	19.9263	−	2.86496i	0.643788	−	0.0925628i
$959$	2.15539	−	1.86766i	0.0696013	−	0.0603099i
$960$	1.35013	+	1.08496i	0.0435753	+	0.0350170i
$961$	25.1295	−	7.37869i	0.810630	−	0.238022i
$962$	−0.905578	+	1.98294i	−0.0291970	+	0.0639325i
$963$	−1.72157	−	1.71217i	−0.0554767	−	0.0551739i
$964$	−4.35664	−	6.77906i	−0.140318	−	0.218339i
$965$	−11.9449			−0.384521
$966$	−3.41563	+	0.590157i	−0.109896	+	0.0189880i
$967$	−20.2692			−0.651812			−0.325906	−	0.945402i	$-0.605669\pi$
$967$	−20.2692			−0.651812			−0.325906	+	0.945402i	$0.605669\pi$
$968$	4.45735	+	6.93577i	0.143265	+	0.222924i
$969$	33.7042	−	11.2691i	1.08274	−	0.362016i
$970$	−2.51517	+	5.50745i	−0.0807572	+	0.176834i
$971$	35.6077	−	10.4554i	1.14271	−	0.335529i	0.345016	−	0.938597i	$-0.387873\pi$
$971$	35.6077	−	10.4554i	1.14271	−	0.335529i	0.797690	+	0.603068i	$0.206055\pi$
$972$	5.86677	−	14.4423i	0.188177	−	0.463238i
$973$	−5.23552	+	4.53661i	−0.167843	+	0.145437i
$974$	6.55348	−	0.942248i	0.209987	−	0.0301916i
$975$	1.30318	−	0.236962i	0.0417352	−	0.00758885i
$976$	8.32669	+	7.21511i	0.266531	+	0.230950i
$977$	−32.9903	−	21.2016i	−1.05545	−	0.678299i	−0.106693	−	0.994292i	$-0.534026\pi$
$977$	−32.9903	−	21.2016i	−1.05545	−	0.678299i	−0.948762	+	0.315993i	$0.897662\pi$
$978$	1.87613	−	17.6782i	0.0599921	−	0.565286i
$979$	10.3446	−	11.9383i	0.330615	−	0.381550i
$980$	6.54938	+	1.92307i	0.209212	+	0.0614302i
$981$	−15.2588	+	28.1271i	−0.487175	+	0.898030i
$982$	−4.23436	−	4.88671i	−0.135124	−	0.155941i
$983$	1.10389	+	2.41717i	0.0352085	+	0.0770959i	0.926419	−	0.376494i	$-0.122870\pi$
$983$	1.10389	+	2.41717i	0.0352085	+	0.0770959i	−0.891211	+	0.453590i	$0.850143\pi$
$984$	−0.947230	+	0.884325i	−0.0301966	+	0.0281913i
$985$	5.36447	+	2.44987i	0.170926	+	0.0780594i
$986$	3.78301	−	26.3114i	0.120476	−	0.837927i
$987$	−2.00584	+	3.39122i	−0.0638464	+	0.107944i
$988$		−	1.99413i		−	0.0634417i
$989$	−0.274125	+	31.2348i	−0.00871667	+	0.993208i
$990$	3.99473	+	2.97339i	0.126961	+	0.0945005i
$991$	−31.9106	+	20.5077i	−1.01367	+	0.651448i	−0.938341	−	0.345711i	$-0.887638\pi$
$991$	−31.9106	+	20.5077i	−1.01367	+	0.651448i	−0.0753313	+	0.997159i	$0.524001\pi$
$992$	−2.17075	−	0.312107i	−0.0689215	−	0.00990942i
$993$	0.653074	+	17.6100i	0.0207247	+	0.558838i
$994$	−0.729081	−	2.48302i	−0.0231250	−	0.0787566i
$995$	−19.6422	+	8.97031i	−0.622701	+	0.284378i
$996$	−12.7023	−	5.24109i	−0.402486	−	0.166070i
$997$	4.04804	+	28.1548i	0.128203	+	0.891670i	0.947831	+	0.318774i	$0.103271\pi$
$997$	4.04804	+	28.1548i	0.128203	+	0.891670i	−0.819628	+	0.572896i	$0.805820\pi$
$998$	−8.38368	+	28.5522i	−0.265381	+	0.903804i
$999$	11.4951	−	9.34143i	0.363689	−	0.295550i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	690.2.q.a.11.11	✓	160
3.2	odd	2		690.2.q.b.11.7	yes	160
23.21	odd	22		690.2.q.b.251.7	yes	160
69.44	even	22	inner	690.2.q.a.251.11	yes	160

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
690.2.q.a.11.11	✓	160	1.1	even	1	trivial
690.2.q.a.251.11	yes	160	69.44	even	22	inner
690.2.q.b.11.7	yes	160	3.2	odd	2
690.2.q.b.251.7	yes	160	23.21	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:	\( N \)	\(=\)	\( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	690.q (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.540641 + 0.841254i) q^{2} +(-0.549229 - 1.64266i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-0.959493 + 0.281733i) q^{5} +(1.08496 - 1.35013i) q^{6} +(-0.315364 + 0.273265i) q^{7} +(-0.989821 + 0.142315i) q^{8} +(-2.39669 + 1.80440i) q^{9} +O(q^{10})\)	\(q+(0.540641 + 0.841254i) q^{2} +(-0.549229 - 1.64266i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-0.959493 + 0.281733i) q^{5} +(1.08496 - 1.35013i) q^{6} +(-0.315364 + 0.273265i) q^{7} +(-0.989821 + 0.142315i) q^{8} +(-2.39669 + 1.80440i) q^{9} +(-0.755750 - 0.654861i) q^{10} +(1.39644 + 0.897436i) q^{11} +(1.72238 + 0.182791i) q^{12} +(-0.500791 + 0.577944i) q^{13} +(-0.400384 - 0.117563i) q^{14} +(0.989774 + 1.42139i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(3.26868 + 7.15741i) q^{17} +(-2.81371 - 1.04070i) q^{18} +(2.37198 + 1.08325i) q^{19} +(0.142315 - 0.989821i) q^{20} +(0.622089 + 0.367953i) q^{21} +1.65995i q^{22} +(0.640832 + 4.75282i) q^{23} +(0.777414 + 1.54778i) q^{24} +(0.841254 - 0.540641i) q^{25} +(-0.756945 - 0.108832i) q^{26} +(4.28036 + 2.94594i) q^{27} +(-0.117563 - 0.400384i) q^{28} +(-3.07301 + 1.40340i) q^{29} +(-0.660637 + 1.60111i) q^{30} +(-0.312107 - 2.17075i) q^{31} +(0.281733 - 0.959493i) q^{32} +(0.707222 - 2.78678i) q^{33} +(-4.25401 + 6.61937i) q^{34} +(0.225602 - 0.351044i) q^{35} +(-0.645716 - 2.92968i) q^{36} +(0.803106 - 2.73513i) q^{37} +(0.371104 + 2.58108i) q^{38} +(1.22442 + 0.505208i) q^{39} +(0.909632 - 0.415415i) q^{40} +(0.210784 + 0.717864i) q^{41} +(0.0267854 + 0.722265i) q^{42} +(6.44686 + 0.926918i) q^{43} +(-1.39644 + 0.897436i) q^{44} +(1.79125 - 2.40654i) q^{45} +(-3.65187 + 3.10867i) q^{46} +5.45134i q^{47} +(-0.881774 + 1.49080i) q^{48} +(-0.971423 + 6.75639i) q^{49} +(0.909632 + 0.415415i) q^{50} +(9.96196 - 9.30040i) q^{51} +(-0.317680 - 0.695622i) q^{52} +(-0.203593 - 0.234959i) q^{53} +(-0.164143 + 5.19356i) q^{54} +(-1.59271 - 0.467662i) q^{55} +(0.273265 - 0.315364i) q^{56} +(0.476651 - 4.49132i) q^{57} +(-2.84200 - 1.82644i) q^{58} +(-8.11372 - 7.03058i) q^{59} +(-1.70411 + 0.309863i) q^{60} +(-10.9056 + 1.56799i) q^{61} +(1.65742 - 1.43616i) q^{62} +(0.262753 - 1.22397i) q^{63} +(0.959493 - 0.281733i) q^{64} +(0.317680 - 0.695622i) q^{65} +(2.72674 - 0.911693i) q^{66} +(7.75264 + 12.0633i) q^{67} -7.86846 q^{68} +(7.45533 - 3.66306i) q^{69} +0.417287 q^{70} +(3.35284 + 5.21712i) q^{71} +(2.11551 - 2.12712i) q^{72} +(-2.36201 + 5.17208i) q^{73} +(2.73513 - 0.803106i) q^{74} +(-1.35013 - 1.08496i) q^{75} +(-1.97071 + 1.70763i) q^{76} +(-0.685624 + 0.0985778i) q^{77} +(0.236962 + 1.30318i) q^{78} +(-3.95542 - 3.42739i) q^{79} +(0.841254 + 0.540641i) q^{80} +(2.48829 - 8.64919i) q^{81} +(-0.489947 + 0.565429i) q^{82} +(-7.61204 - 2.23510i) q^{83} +(-0.593127 + 0.413019i) q^{84} +(-5.15275 - 5.94659i) q^{85} +(2.70566 + 5.92457i) q^{86} +(3.99309 + 4.27713i) q^{87} +(-1.50994 - 0.689568i) q^{88} +(1.35432 - 9.41949i) q^{89} +(2.99293 + 0.205827i) q^{90} -0.319111i q^{91} +(-4.58953 - 1.39147i) q^{92} +(-3.39440 + 1.70493i) q^{93} +(-4.58596 + 2.94722i) q^{94} +(-2.58108 - 0.371104i) q^{95} +(-1.73086 + 0.0641895i) q^{96} +(-1.70578 - 5.80934i) q^{97} +(-6.20903 + 2.83557i) q^{98} +(-4.96617 + 0.368851i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 160 q + 16 q^{4} - 16 q^{5} - 2 q^{6} + 42 q^{9}+O(q^{10}) \) 160 * q + 16 * q^4 - 16 * q^5 - 2 * q^6 + 42 * q^9	\( 160 q + 16 q^{4} - 16 q^{5} - 2 q^{6} + 42 q^{9} - 12 q^{11} - 12 q^{14} - 16 q^{16} - 8 q^{18} + 16 q^{20} + 62 q^{21} + 4 q^{23} + 2 q^{24} - 16 q^{25} + 42 q^{27} - 2 q^{30} - 4 q^{31} + 16 q^{33} + 2 q^{36} + 72 q^{38} - 124 q^{39} + 44 q^{41} + 44 q^{43} + 12 q^{44} - 2 q^{45} + 4 q^{46} + 70 q^{49} - 2 q^{51} - 52 q^{53} + 92 q^{54} + 10 q^{55} - 54 q^{56} - 38 q^{57} - 36 q^{58} - 44 q^{61} - 220 q^{63} + 16 q^{64} - 34 q^{66} - 44 q^{67} + 22 q^{69} - 12 q^{70} - 36 q^{72} - 28 q^{73} - 24 q^{74} - 88 q^{77} - 54 q^{78} - 44 q^{79} - 16 q^{80} - 66 q^{81} - 28 q^{82} + 4 q^{83} - 18 q^{84} + 158 q^{86} - 64 q^{87} + 80 q^{89} - 8 q^{90} - 4 q^{92} + 4 q^{93} + 24 q^{94} - 2 q^{96} - 88 q^{98} + 190 q^{99}+O(q^{100}) \) 160 * q + 16 * q^4 - 16 * q^5 - 2 * q^6 + 42 * q^9 - 12 * q^11 - 12 * q^14 - 16 * q^16 - 8 * q^18 + 16 * q^20 + 62 * q^21 + 4 * q^23 + 2 * q^24 - 16 * q^25 + 42 * q^27 - 2 * q^30 - 4 * q^31 + 16 * q^33 + 2 * q^36 + 72 * q^38 - 124 * q^39 + 44 * q^41 + 44 * q^43 + 12 * q^44 - 2 * q^45 + 4 * q^46 + 70 * q^49 - 2 * q^51 - 52 * q^53 + 92 * q^54 + 10 * q^55 - 54 * q^56 - 38 * q^57 - 36 * q^58 - 44 * q^61 - 220 * q^63 + 16 * q^64 - 34 * q^66 - 44 * q^67 + 22 * q^69 - 12 * q^70 - 36 * q^72 - 28 * q^73 - 24 * q^74 - 88 * q^77 - 54 * q^78 - 44 * q^79 - 16 * q^80 - 66 * q^81 - 28 * q^82 + 4 * q^83 - 18 * q^84 + 158 * q^86 - 64 * q^87 + 80 * q^89 - 8 * q^90 - 4 * q^92 + 4 * q^93 + 24 * q^94 - 2 * q^96 - 88 * q^98 + 190 * q^99

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