LMFDB - Embedded newform 855.2.ci.a.182.13

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [855,2,Mod(182,855)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(855, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([2, 3, 8]))

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

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

chi := DirichletCharacter("855.182");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 855 = 3^{2} \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	855.ci (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$6.82720937282$
Analytic rank:	$0$
Dimension:	$464$
Relative dimension:	$116$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			182.13
Character	$\chi$	$=$	855.182
Dual form			855.2.ci.a.653.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-2.30747 - 0.618286i) q^{2} +(-1.18916 + 1.25932i) q^{3} +(3.21011 + 1.85336i) q^{4} +(-2.04227 - 0.910568i) q^{5} +(3.52258 - 2.17061i) q^{6} +(0.475464 - 0.127400i) q^{7} +(-2.88296 - 2.88296i) q^{8} +(-0.171788 - 2.99508i) q^{9} +O(q^{10})$	\(q+(-2.30747 - 0.618286i) q^{2} +(-1.18916 + 1.25932i) q^{3} +(3.21011 + 1.85336i) q^{4} +(-2.04227 - 0.910568i) q^{5} +(3.52258 - 2.17061i) q^{6} +(0.475464 - 0.127400i) q^{7} +(-2.88296 - 2.88296i) q^{8} +(-0.171788 - 2.99508i) q^{9} +(4.14949 + 3.36382i) q^{10} +(-0.161899 - 0.0934726i) q^{11} +(-6.15131 + 1.83862i) q^{12} +(0.0876187 + 0.326998i) q^{13} -1.17589 q^{14} +(3.57529 - 1.48906i) q^{15} +(1.16315 + 2.01464i) q^{16} +(0.643137 + 2.40022i) q^{17} +(-1.45542 + 7.01728i) q^{18} +(3.96943 - 1.80100i) q^{19} +(-4.86830 - 6.70808i) q^{20} +(-0.404966 + 0.750263i) q^{21} +(0.315786 + 0.315786i) q^{22} +(-7.01733 + 1.88029i) q^{23} +(7.05889 - 0.202272i) q^{24} +(3.34173 + 3.71925i) q^{25} -0.808712i q^{26} +(3.97605 + 3.34529i) q^{27} +(1.76241 + 0.472237i) q^{28} +3.75864 q^{29} +(-9.17055 + 1.22543i) q^{30} +(1.98071 + 3.43068i) q^{31} +(0.672155 + 2.50852i) q^{32} +(0.310237 - 0.0927295i) q^{33} -5.93609i q^{34} +(-1.08703 - 0.172757i) q^{35} +(4.99949 - 9.93291i) q^{36} +(3.44146 + 3.44146i) q^{37} +(-10.2729 + 1.70151i) q^{38} +(-0.515988 - 0.278513i) q^{39} +(3.26265 + 8.51292i) q^{40} -7.12317i q^{41} +(1.39833 - 1.48083i) q^{42} +(-6.85927 - 1.83794i) q^{43} +(-0.346476 - 0.600115i) q^{44} +(-2.37638 + 6.27318i) q^{45} +17.3549 q^{46} +(4.97070 - 4.97070i) q^{47} +(-3.92025 - 0.930946i) q^{48} +(-5.85234 + 3.37885i) q^{49} +(-5.41140 - 10.6482i) q^{50} +(-3.78745 - 2.04433i) q^{51} +(-0.324778 + 1.21209i) q^{52} +(1.20560 - 4.49937i) q^{53} +(-7.10629 - 10.1775i) q^{54} +(0.245529 + 0.338317i) q^{55} +(-1.73804 - 1.00346i) q^{56} +(-2.45226 + 7.14048i) q^{57} +(-8.67296 - 2.32391i) q^{58} +0.528629 q^{59} +(14.2368 + 1.84623i) q^{60} -6.00562 q^{61} +(-2.44929 - 9.14086i) q^{62} +(-0.463253 - 1.40217i) q^{63} -10.8565i q^{64} +(0.118813 - 0.747600i) q^{65} +(-0.773196 + 0.0221559i) q^{66} +(-8.73722 + 2.34113i) q^{67} +(-2.38393 + 8.89693i) q^{68} +(5.97685 - 11.0730i) q^{69} +(2.40149 + 1.07073i) q^{70} +(-3.89986 - 2.25158i) q^{71} +(-8.13943 + 9.12995i) q^{72} +(-3.24548 - 12.1123i) q^{73} +(-5.81328 - 10.0689i) q^{74} +(-8.65760 - 0.214475i) q^{75} +(16.0802 + 1.57537i) q^{76} +(-0.0888858 - 0.0238169i) q^{77} +(1.01843 + 0.961689i) q^{78} +(-2.24497 + 1.29613i) q^{79} +(-0.541003 - 5.17356i) q^{80} +(-8.94098 + 1.02904i) q^{81} +(-4.40415 + 16.4365i) q^{82} +(-16.6698 + 4.46666i) q^{83} +(-2.69049 + 1.65788i) q^{84} +(0.872106 - 5.48752i) q^{85} +(14.6912 + 8.48198i) q^{86} +(-4.46963 + 4.73334i) q^{87} +(0.197272 + 0.736227i) q^{88} +(4.28224 + 7.41705i) q^{89} +(9.36206 - 13.0059i) q^{90} +(0.0833192 + 0.144313i) q^{91} +(-26.0112 - 6.96969i) q^{92} +(-6.67572 - 1.58529i) q^{93} +(-14.5431 + 8.39644i) q^{94} +(-9.74659 + 0.0636860i) q^{95} +(-3.95834 - 2.13657i) q^{96} +(0.0836621 - 0.312231i) q^{97} +(15.5932 - 4.17819i) q^{98} +(-0.252145 + 0.500959i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 464 q - 6 q^{2} - 2 q^{3} - 4 q^{6} - 4 q^{7}+O(q^{10}) $ 464 * q - 6 * q^2 - 2 * q^3 - 4 * q^6 - 4 * q^7	$ 464 q - 6 q^{2} - 2 q^{3} - 4 q^{6} - 4 q^{7} - 4 q^{10} - 24 q^{11} + 2 q^{12} + 2 q^{13} + 10 q^{15} + 212 q^{16} + 18 q^{17} - 24 q^{18} - 12 q^{20} - 4 q^{21} - 20 q^{22} + 18 q^{23} - 4 q^{25} - 2 q^{27} - 20 q^{28} + 2 q^{30} - 8 q^{31} - 30 q^{32} + 10 q^{33} - 68 q^{36} - 16 q^{37} + 30 q^{38} - 36 q^{40} - 14 q^{42} + 2 q^{43} + 6 q^{45} - 56 q^{46} + 42 q^{48} - 108 q^{50} + 12 q^{51} - 34 q^{52} - 14 q^{55} - 24 q^{56} - 78 q^{57} - 12 q^{58} - 42 q^{60} - 8 q^{61} - 12 q^{62} + 92 q^{63} - 84 q^{65} - 52 q^{66} + 2 q^{67} - 60 q^{68} - 84 q^{70} - 118 q^{72} - 4 q^{73} + 98 q^{75} - 60 q^{76} - 12 q^{77} + 92 q^{78} + 120 q^{80} - 12 q^{81} + 4 q^{82} - 12 q^{83} + 2 q^{85} - 264 q^{86} + 102 q^{87} + 48 q^{88} - 34 q^{90} - 8 q^{91} + 54 q^{92} - 52 q^{93} - 36 q^{95} + 96 q^{96} + 2 q^{97} + 42 q^{98}+O(q^{100}) $ 464 * q - 6 * q^2 - 2 * q^3 - 4 * q^6 - 4 * q^7 - 4 * q^10 - 24 * q^11 + 2 * q^12 + 2 * q^13 + 10 * q^15 + 212 * q^16 + 18 * q^17 - 24 * q^18 - 12 * q^20 - 4 * q^21 - 20 * q^22 + 18 * q^23 - 4 * q^25 - 2 * q^27 - 20 * q^28 + 2 * q^30 - 8 * q^31 - 30 * q^32 + 10 * q^33 - 68 * q^36 - 16 * q^37 + 30 * q^38 - 36 * q^40 - 14 * q^42 + 2 * q^43 + 6 * q^45 - 56 * q^46 + 42 * q^48 - 108 * q^50 + 12 * q^51 - 34 * q^52 - 14 * q^55 - 24 * q^56 - 78 * q^57 - 12 * q^58 - 42 * q^60 - 8 * q^61 - 12 * q^62 + 92 * q^63 - 84 * q^65 - 52 * q^66 + 2 * q^67 - 60 * q^68 - 84 * q^70 - 118 * q^72 - 4 * q^73 + 98 * q^75 - 60 * q^76 - 12 * q^77 + 92 * q^78 + 120 * q^80 - 12 * q^81 + 4 * q^82 - 12 * q^83 + 2 * q^85 - 264 * q^86 + 102 * q^87 + 48 * q^88 - 34 * q^90 - 8 * q^91 + 54 * q^92 - 52 * q^93 - 36 * q^95 + 96 * q^96 + 2 * q^97 + 42 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/855\mathbb{Z}\right)^\times$.

$n$	$172$	$191$	$496$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−2.30747	−	0.618286i	−1.63163	−	0.437194i	−0.677242	−	0.735761i	$-0.736825\pi$
$2$	−2.30747	−	0.618286i	−1.63163	−	0.437194i	−0.954389	+	0.298566i	$0.903492\pi$
$3$	−1.18916	+	1.25932i	−0.686563	+	0.727070i
$3$	−1.18916	+	1.25932i	−0.686563	+	0.727070i
$4$	3.21011	+	1.85336i	1.60505	+	0.926679i
$5$	−2.04227	−	0.910568i	−0.913331	−	0.407219i
$5$	−2.04227	−	0.910568i	−0.913331	−	0.407219i
$6$	3.52258	−	2.17061i	1.43809	−	0.886149i
$7$	0.475464	−	0.127400i	0.179709	−	0.0481528i	−0.167842	−	0.985814i	$-0.553680\pi$
$7$	0.475464	−	0.127400i	0.179709	−	0.0481528i	0.347551	+	0.937661i	$0.387013\pi$
$8$	−2.88296	−	2.88296i	−1.01928	−	1.01928i
$9$	−0.171788	−	2.99508i	−0.0572627	−	0.998359i
$10$	4.14949	+	3.36382i	1.31218	+	1.06373i
$11$	−0.161899	−	0.0934726i	−0.0488145	−	0.0281831i	0.475394	−	0.879773i	$-0.342305\pi$
$11$	−0.161899	−	0.0934726i	−0.0488145	−	0.0281831i	−0.524209	+	0.851590i	$0.675639\pi$
$12$	−6.15131	+	1.83862i	−1.77573	+	0.530764i
$13$	0.0876187	+	0.326998i	0.0243011	+	0.0906928i	0.977011	−	0.213187i	$-0.0683844\pi$
$13$	0.0876187	+	0.326998i	0.0243011	+	0.0906928i	−0.952710	+	0.303880i	$0.901718\pi$
$14$	−1.17589			−0.314270
$15$	3.57529	−	1.48906i	0.923136	−	0.384475i
$16$	1.16315	+	2.01464i	0.290788	+	0.503659i
$17$	0.643137	+	2.40022i	0.155984	+	0.582139i	0.999019	+	0.0442811i	$0.0140997\pi$
$17$	0.643137	+	2.40022i	0.155984	+	0.582139i	−0.843035	+	0.537858i	$0.819234\pi$
$18$	−1.45542	+	7.01728i	−0.343045	+	1.65399i
$19$	3.96943	−	1.80100i	0.910650	−	0.413178i
$19$	3.96943	−	1.80100i	0.910650	−	0.413178i
$20$	−4.86830	−	6.70808i	−1.08858	−	1.49997i
$21$	−0.404966	+	0.750263i	−0.0883708	+	0.163721i
$22$	0.315786	+	0.315786i	0.0673257	+	0.0673257i
$23$	−7.01733	+	1.88029i	−1.46321	+	0.392067i	−0.900599	−	0.434652i	$-0.856871\pi$
$23$	−7.01733	+	1.88029i	−1.46321	+	0.392067i	−0.562615	+	0.826719i	$0.690205\pi$
$24$	7.05889	−	0.202272i	1.44089	−	0.0412885i
$25$	3.34173	+	3.71925i	0.668346	+	0.743850i
$26$		−	0.808712i		−	0.158601i
$27$	3.97605	+	3.34529i	0.765192	+	0.643802i
$28$	1.76241	+	0.472237i	0.333064	+	0.0892443i
$29$	3.75864			0.697961			0.348981	−	0.937130i	$-0.386528\pi$
$29$	3.75864			0.697961			0.348981	+	0.937130i	$0.386528\pi$
$30$	−9.17055	+	1.22543i	−1.67431	+	0.223731i
$31$	1.98071	+	3.43068i	0.355745	+	0.616169i	0.987245	−	0.159207i	$-0.0508937\pi$
$31$	1.98071	+	3.43068i	0.355745	+	0.616169i	−0.631500	+	0.775376i	$0.717560\pi$
$32$	0.672155	+	2.50852i	0.118821	+	0.443447i
$33$	0.310237	−	0.0927295i	0.0540053	−	0.0161421i
$34$		−	5.93609i		−	1.01803i
$35$	−1.08703	−	0.172757i	−0.183742	−	0.0292013i
$36$	4.99949	−	9.93291i	0.833248	−	1.65548i
$37$	3.44146	+	3.44146i	0.565773	+	0.565773i	0.930941	−	0.365169i	$-0.118989\pi$
$37$	3.44146	+	3.44146i	0.565773	+	0.565773i	−0.365169	+	0.930941i	$0.618989\pi$
$38$	−10.2729	+	1.70151i	−1.66648	+	0.276022i
$39$	−0.515988	−	0.278513i	−0.0826243	−	0.0445977i
$40$	3.26265	+	8.51292i	0.515870	+	1.34601i
$41$		−	7.12317i		−	1.11245i	−0.831031	−	0.556226i	$-0.812249\pi$
$41$		−	7.12317i		−	1.11245i	0.831031	−	0.556226i	$-0.187751\pi$
$42$	1.39833	−	1.48083i	0.215766	−	0.228497i
$43$	−6.85927	−	1.83794i	−1.04603	−	0.280282i	−0.305419	−	0.952218i	$-0.598796\pi$
$43$	−6.85927	−	1.83794i	−1.04603	−	0.280282i	−0.740610	+	0.671936i	$0.765463\pi$
$44$	−0.346476	−	0.600115i	−0.0522333	−	0.0904707i
$45$	−2.37638	+	6.27318i	−0.354251	+	0.935151i
$46$	17.3549			2.55883
$47$	4.97070	−	4.97070i	0.725051	−	0.725051i	−0.244579	−	0.969629i	$-0.578650\pi$
$47$	4.97070	−	4.97070i	0.725051	−	0.725051i	0.969629	+	0.244579i	$0.0786496\pi$
$48$	−3.92025	−	0.930946i	−0.565840	−	0.134370i
$49$	−5.85234	+	3.37885i	−0.836049	+	0.482693i
$50$	−5.41140	−	10.6482i	−0.765287	−	1.50589i
$51$	−3.78745	−	2.04433i	−0.530349	−	0.286264i
$52$	−0.324778	+	1.21209i	−0.0450386	+	0.168086i
$53$	1.20560	−	4.49937i	0.165602	−	0.618036i	−0.832360	−	0.554235i	$-0.813011\pi$
$53$	1.20560	−	4.49937i	0.165602	−	0.618036i	0.997963	−	0.0638014i	$-0.0203224\pi$
$54$	−7.10629	−	10.1775i	−0.967044	−	1.38498i
$55$	0.245529	+	0.338317i	0.0331071	+	0.0456186i
$56$	−1.73804	−	1.00346i	−0.232255	−	0.134092i
$57$	−2.45226	+	7.14048i	−0.324810	+	0.945779i
$58$	−8.67296	−	2.32391i	−1.13882	−	0.305145i
$59$	0.528629			0.0688217			0.0344108	−	0.999408i	$-0.489045\pi$
$59$	0.528629			0.0688217			0.0344108	+	0.999408i	$0.489045\pi$
$60$	14.2368	+	1.84623i	1.83797	+	0.238347i
$61$	−6.00562			−0.768941			−0.384471	−	0.923137i	$-0.625616\pi$
$61$	−6.00562			−0.768941			−0.384471	+	0.923137i	$0.625616\pi$
$62$	−2.44929	−	9.14086i	−0.311060	−	1.16089i
$63$	−0.463253	−	1.40217i	−0.0583644	−	0.176656i
$64$		−	10.8565i		−	1.35707i
$65$	0.118813	−	0.747600i	0.0147369	−	0.0927284i
$66$	−0.773196	+	0.0221559i	−0.0951739	+	0.00272720i
$67$	−8.73722	+	2.34113i	−1.06742	+	0.286015i	−0.749433	−	0.662080i	$-0.769674\pi$
$67$	−8.73722	+	2.34113i	−1.06742	+	0.286015i	−0.317988	+	0.948095i	$0.603007\pi$
$68$	−2.38393	+	8.89693i	−0.289094	+	1.07891i
$69$	5.97685	−	11.0730i	0.719528	−	1.33304i
$70$	2.40149	+	1.07073i	0.287033	+	0.127977i
$71$	−3.89986	−	2.25158i	−0.462828	−	0.267214i	0.250405	−	0.968141i	$-0.419436\pi$
$71$	−3.89986	−	2.25158i	−0.462828	−	0.267214i	−0.713233	+	0.700927i	$0.752770\pi$
$72$	−8.13943	+	9.12995i	−0.959241	+	1.07598i
$73$	−3.24548	−	12.1123i	−0.379854	−	1.41764i	−0.846121	−	0.532991i	$-0.821068\pi$
$73$	−3.24548	−	12.1123i	−0.379854	−	1.41764i	0.466267	−	0.884644i	$-0.345599\pi$
$74$	−5.81328	−	10.0689i	−0.675780	−	1.17048i
$75$	−8.65760	−	0.214475i	−0.999693	−	0.0247654i
$76$	16.0802	+	1.57537i	1.84453	+	0.180708i
$77$	−0.0888858	−	0.0238169i	−0.0101295	−	0.00271419i
$78$	1.01843	+	0.961689i	0.115314	+	0.108890i
$79$	−2.24497	+	1.29613i	−0.252579	+	0.145826i	−0.620945	−	0.783855i	$-0.713251\pi$
$79$	−2.24497	+	1.29613i	−0.252579	+	0.145826i	0.368366	+	0.929681i	$0.379917\pi$
$80$	−0.541003	−	5.17356i	−0.0604860	−	0.578421i
$81$	−8.94098	+	1.02904i	−0.993442	+	0.114338i
$82$	−4.40415	+	16.4365i	−0.486358	+	1.81511i
$83$	−16.6698	+	4.46666i	−1.82975	+	0.490280i	−0.997903	−	0.0647257i	$-0.979383\pi$
$83$	−16.6698	+	4.46666i	−1.82975	+	0.490280i	−0.831847	+	0.555006i	$0.812716\pi$
$84$	−2.69049	+	1.65788i	−0.293556	+	0.180889i
$85$	0.872106	−	5.48752i	0.0945931	−	0.595205i
$86$	14.6912	+	8.48198i	1.58419	+	0.914635i
$87$	−4.46963	+	4.73334i	−0.479194	+	0.507467i
$88$	0.197272	+	0.736227i	0.0210292	+	0.0784821i
$89$	4.28224	+	7.41705i	0.453916	+	0.786206i	0.998625	−	0.0524194i	$-0.0166933\pi$
$89$	4.28224	+	7.41705i	0.453916	+	0.786206i	−0.544709	+	0.838625i	$0.683360\pi$
$90$	9.36206	−	13.0059i	0.986848	−	1.37094i
$91$	0.0833192	+	0.144313i	0.00873422	+	0.0151281i
$92$	−26.0112	−	6.96969i	−2.71186	−	0.726640i
$93$	−6.67572	−	1.58529i	−0.692240	−	0.164387i
$94$	−14.5431	+	8.39644i	−1.50000	+	0.866027i
$95$	−9.74659	+	0.0636860i	−0.999979	+	0.00653404i
$96$	−3.95834	−	2.13657i	−0.403996	−	0.218063i
$97$	0.0836621	−	0.312231i	0.00849460	−	0.0317023i	−0.961548	−	0.274635i	$-0.911443\pi$
$97$	0.0836621	−	0.312231i	0.00849460	−	0.0317023i	0.970043	+	0.242933i	$0.0781095\pi$
$98$	15.5932	−	4.17819i	1.57515	−	0.422061i
$99$	−0.252145	+	0.500959i	−0.0253416	+	0.0503482i
$100$	3.83422	+	18.1326i	0.383422	+	1.81326i
$101$			10.4916i			1.04395i	0.852960	+	0.521977i	$0.174805\pi$
$101$			10.4916i			1.04395i	−0.852960	+	0.521977i	$0.825195\pi$
$102$	7.47546	+	7.05897i	0.740180	+	0.698943i
$103$	−12.1481	−	3.25506i	−1.19698	−	0.320731i	−0.395341	−	0.918534i	$-0.629374\pi$
$103$	−12.1481	−	3.25506i	−1.19698	−	0.320731i	−0.801643	+	0.597804i	$0.796040\pi$
$104$	0.690120	−	1.19532i	0.0676718	−	0.117211i
$105$	1.51022	−	1.16349i	0.147382	−	0.113545i
$106$	−5.56380	+	9.63678i	−0.540404	+	0.936007i
$107$	−0.773961	+	0.773961i	−0.0748216	+	0.0748216i	−0.743527	−	0.668706i	$-0.766849\pi$
$107$	−0.773961	+	0.773961i	−0.0748216	+	0.0748216i	0.668706	+	0.743527i	$0.266849\pi$
$108$	6.56354	+	18.1078i	0.631577	+	1.74242i
$109$	−8.53749	−	4.92912i	−0.817743	−	0.472124i	0.0318945	−	0.999491i	$-0.489846\pi$
$109$	−8.53749	−	4.92912i	−0.817743	−	0.472124i	−0.849638	+	0.527367i	$0.823179\pi$
$110$	−0.357375	−	0.932464i	−0.0340744	−	0.0889070i
$111$	−8.42636	+	0.241456i	−0.799795	+	0.0229180i
$112$	0.809702	+	0.809702i	0.0765096	+	0.0765096i
$113$	0.601189	−	2.24367i	0.0565551	−	0.211066i	−0.931866	−	0.362803i	$-0.881820\pi$
$113$	0.601189	−	2.24367i	0.0565551	−	0.211066i	0.988421	+	0.151736i	$0.0484865\pi$
$114$	10.0734	−	14.9603i	0.943459	−	1.40116i
$115$	16.0434	+	2.54970i	1.49606	+	0.237761i
$116$	12.0656	+	6.96610i	1.12027	+	0.646786i
$117$	0.964331	−	0.318599i	0.0891525	−	0.0294545i
$118$	−1.21980	−	0.326844i	−0.112292	−	0.0300884i
$119$	0.611578	+	1.05928i	0.0560633	+	0.0971044i
$120$	−14.6003	−	6.01451i	−1.33282	−	0.549047i
$121$	−5.48253	−	9.49601i	−0.498411	−	0.863274i
$122$	13.8578	+	3.71319i	1.25463	+	0.336177i
$123$	8.97037	+	8.47060i	0.808831	+	0.763768i
$124$			14.6838i			1.31865i
$125$	−3.43808	−	10.6386i	−0.307511	−	0.951544i
$126$	0.202004	+	3.52189i	0.0179960	+	0.313755i
$127$	2.97234	−	11.0929i	0.263753	−	0.984339i	−0.699257	−	0.714871i	$-0.746486\pi$
$127$	2.97234	−	11.0929i	0.263753	−	0.984339i	0.963009	−	0.269468i	$-0.0868478\pi$
$128$	−5.36813	+	20.0341i	−0.474480	+	1.77078i
$129$	10.4713	−	6.45243i	0.921949	−	0.568105i
$130$	−0.736387	+	1.65161i	−0.0645854	+	0.144856i
$131$			0.104717i			0.00914915i	0.999990	+	0.00457458i	$0.00145614\pi$
$131$			0.104717i			0.00914915i	−0.999990	+	0.00457458i	$0.998544\pi$
$132$	1.16775	+	0.277308i	0.101640	+	0.0241365i
$133$	1.65788	−	1.36202i	0.143756	−	0.118102i
$134$	21.6084			1.86668
$135$	−5.07405	−	10.4525i	−0.436705	−	0.899605i
$136$	5.06561	−	8.77389i	0.434372	−	0.752355i
$137$	1.97681	−	1.97681i	0.168891	−	0.168891i	−0.617601	−	0.786492i	$-0.711895\pi$
$137$	1.97681	−	1.97681i	0.168891	−	0.168891i	0.786492	+	0.617601i	$0.211895\pi$
$138$	−20.6377	+	21.8554i	−1.75680	+	1.86045i
$139$	−11.2764	−	6.51043i	−0.956451	−	0.552207i	−0.0613719	−	0.998115i	$-0.519548\pi$
$139$	−11.2764	−	6.51043i	−0.956451	−	0.552207i	−0.895079	+	0.445908i	$0.852881\pi$
$140$	−3.16931	−	2.56923i	−0.267856	−	0.217140i
$141$	0.348749	+	12.1707i	0.0293700	+	1.02496i
$142$	7.60670	+	7.60670i	0.638340	+	0.638340i
$143$	0.0163799	−	0.0611306i	0.00136976	−	0.00511200i
$144$	5.83417	−	3.82982i	0.486181	−	0.319151i
$145$	−7.67615	−	3.42250i	−0.637470	−	0.284223i
$146$			29.9554i			2.47913i
$147$	2.70432	−	11.3880i	0.223048	−	0.939266i
$148$	4.66921	+	17.4257i	0.383806	+	1.43239i
$149$	−22.1538			−1.81491			−0.907456	−	0.420147i	$-0.861978\pi$
$149$	−22.1538			−1.81491			−0.907456	+	0.420147i	$0.861978\pi$
$150$	19.8446	+	5.84777i	1.62030	+	0.477468i
$151$	−5.38854	+	9.33323i	−0.438513	+	0.759527i	−0.997575	−	0.0695988i	$-0.977828\pi$
$151$	−5.38854	+	9.33323i	−0.438513	+	0.759527i	0.559062	+	0.829126i	$0.311161\pi$
$152$	−16.6359	−	6.25151i	−1.34935	−	0.507065i
$153$	7.07837	−	2.33858i	0.572252	−	0.189063i
$154$	0.190376	+	0.109914i	0.0153409	+	0.00885710i
$155$	−0.921264	−	8.80995i	−0.0739977	−	0.707632i
$156$	−1.14020	−	1.85037i	−0.0912887	−	0.148148i
$157$	2.39412	+	2.39412i	0.191071	+	0.191071i	0.796159	−	0.605088i	$-0.206862\pi$
$157$	2.39412	+	2.39412i	0.191071	+	0.191071i	−0.605088	+	0.796159i	$0.706862\pi$
$158$	5.98159	−	1.60276i	0.475870	−	0.127509i
$159$	4.23251	+	6.86873i	0.335660	+	0.544725i
$160$	0.911454	−	5.73511i	0.0720568	−	0.453400i
$161$	−3.09694	+	1.78802i	−0.244073	+	0.140916i
$162$	21.2673	+	3.15360i	1.67092	+	0.247770i
$163$	−7.34566	+	7.34566i	−0.575356	+	0.575356i	−0.933620	−	0.358264i	$-0.883369\pi$
$163$	−7.34566	+	7.34566i	−0.575356	+	0.575356i	0.358264	+	0.933620i	$0.383369\pi$
$164$	13.2018	−	22.8661i	1.03089	−	1.78555i
$165$	−0.718024	−	0.0931132i	−0.0558981	−	0.00724885i
$166$	41.2268			3.19982
$167$	−0.801028	−	2.98948i	−0.0619854	−	0.231333i	0.927983	−	0.372623i	$-0.121542\pi$
$167$	−0.801028	−	2.98948i	−0.0619854	−	0.231333i	−0.989968	+	0.141290i	$0.954875\pi$
$168$	3.33048	−	0.995477i	0.256952	−	0.0768027i
$169$	11.1591	−	6.44270i	0.858391	−	0.495592i
$170$	−5.40522	+	12.1231i	−0.414561	+	0.929799i
$171$	−6.07603	−	11.5794i	−0.464646	−	0.885497i
$172$	−18.6126	−	18.6126i	−1.41920	−	1.41920i
$173$	0.257585	−	0.961321i	0.0195838	−	0.0730879i	−0.955442	−	0.295178i	$-0.904621\pi$
$173$	0.257585	−	0.961321i	0.0195838	−	0.0730879i	0.975026	+	0.222090i	$0.0712878\pi$
$174$	13.2401	−	8.15855i	1.00373	−	0.618498i
$175$	2.06271	+	1.34263i	0.155926	+	0.101494i
$176$		−	0.434891i		−	0.0327811i
$177$	−0.628626	+	0.665715i	−0.0472504	+	0.0500382i
$178$	−5.29529	−	19.7623i	−0.396899	−	1.48125i
$179$	−2.37741			−0.177696			−0.0888479	−	0.996045i	$-0.528319\pi$
$179$	−2.37741			−0.177696			−0.0888479	+	0.996045i	$0.528319\pi$
$180$	−19.2549	+	15.7333i	−1.43518	+	1.17269i
$181$	2.41706	+	4.18647i	0.179659	+	0.311178i	0.941764	−	0.336276i	$-0.109167\pi$
$181$	2.41706	+	4.18647i	0.179659	+	0.311178i	−0.762105	+	0.647453i	$0.775834\pi$
$182$	−0.103030	−	0.384514i	−0.00763710	−	0.0285021i
$183$	7.14166	−	7.56302i	0.527927	−	0.559074i
$184$	25.6515	+	14.8099i	1.89105	+	1.09180i
$185$	−3.89471	−	10.1621i	−0.286344	−	0.747131i
$186$	14.4239	+	7.78552i	1.05761	+	0.570862i
$187$	0.120231	−	0.448710i	0.00879220	−	0.0328129i
$188$	25.1690	−	6.74400i	1.83563	−	0.491857i
$189$	2.31666	+	1.08402i	0.168512	+	0.0788507i
$190$	22.5294	+	5.87922i	1.63445	+	0.426524i
$191$	0.0213295	+	0.0123146i	0.00154335	+	0.000891052i	0.500771	−	0.865580i	$-0.333050\pi$
$191$	0.0213295	+	0.0123146i	0.00154335	+	0.000891052i	−0.499228	+	0.866471i	$0.666383\pi$
$192$	13.6719	+	12.9102i	0.986682	+	0.931711i
$193$	16.0561	−	16.0561i	1.15575	−	1.15575i	0.170364	−	0.985381i	$-0.445506\pi$
$193$	16.0561	−	16.0561i	1.15575	−	1.15575i	0.985381	−	0.170364i	$-0.0544943\pi$
$194$	−0.386096	+	0.668738i	−0.0277201	+	0.0480126i
$195$	0.800183	+	1.03864i	0.0573023	+	0.0743786i
$196$	−25.0489			−1.78921
$197$	15.5049	−	15.5049i	1.10468	−	1.10468i	0.110843	−	0.993838i	$-0.464645\pi$
$197$	15.5049	−	15.5049i	1.10468	−	1.10468i	0.993838	−	0.110843i	$-0.0353551\pi$
$198$	0.891554	−	1.00005i	0.0633600	−	0.0710705i
$199$	−12.8910	+	7.44260i	−0.913816	+	0.527592i	−0.881657	−	0.471891i	$-0.843572\pi$
$199$	−12.8910	+	7.44260i	−0.913816	+	0.527592i	−0.0321590	+	0.999483i	$0.510238\pi$
$200$	1.08838	−	20.3565i	0.0769601	−	1.43942i
$201$	7.44173	−	13.7870i	0.524899	−	0.972457i
$202$	6.48681	−	24.2091i	0.456410	−	1.70335i
$203$	1.78710	−	0.478852i	0.125430	−	0.0336088i
$204$	−8.36924	−	13.5820i	−0.585964	−	0.950932i
$205$	−6.48613	+	14.5474i	−0.453011	+	1.01604i
$206$	26.0188	+	15.0219i	1.81281	+	1.04663i
$207$	6.83710	+	20.6944i	0.475211	+	1.43836i
$208$	−0.556867	+	0.556867i	−0.0386118	+	0.0386118i
$209$	−0.810993	−	0.0794528i	−0.0560975	−	0.00549586i
$210$	−4.20415	+	1.75098i	−0.290114	+	0.120829i
$211$	4.63811			0.319301			0.159650	−	0.987174i	$-0.448963\pi$
$211$	4.63811			0.319301			0.159650	+	0.987174i	$0.448963\pi$
$212$	12.2091	−	12.2091i	0.838522	−	0.838522i
$213$	7.47304	−	2.23368i	0.512044	−	0.153049i
$214$	2.26442	−	1.30737i	0.154793	−	0.0893697i
$215$	12.3349	+	9.99939i	0.841234	+	0.681953i
$216$	−1.81845	−	21.1072i	−0.123730	−	1.43616i
$217$	1.37883	+	1.37883i	0.0936008	+	0.0936008i
$218$	16.6524	+	16.6524i	1.12784	+	1.12784i
$219$	19.1127	+	10.3164i	1.29151	+	0.697115i
$220$	0.161153	+	1.54109i	0.0108649	+	0.103900i
$221$	−0.728516	+	0.420609i	−0.0490053	+	0.0282932i
$222$	19.5929	+	4.65275i	1.31499	+	0.312272i
$223$	23.1295	+	6.19753i	1.54887	+	0.415018i	0.929118	−	0.369783i	$-0.120568\pi$
$223$	23.1295	+	6.19753i	1.54887	+	0.415018i	0.619748	+	0.784801i	$0.287235\pi$
$224$	0.639172	+	1.10708i	0.0427065	+	0.0739698i
$225$	10.5654	−	10.6477i	0.704359	−	0.709844i
$226$	−2.77446	+	4.80550i	−0.184554	+	0.319657i
$227$	2.97716	+	11.1109i	0.197601	+	0.737457i	0.991578	+	0.129510i	$0.0413403\pi$
$227$	2.97716	+	11.1109i	0.197601	+	0.737457i	−0.793977	+	0.607948i	$0.791993\pi$
$228$	−21.1059	+	18.3768i	−1.39777	+	1.21703i
$229$	3.12065	−	1.80171i	0.206218	−	0.119060i	−0.393334	−	0.919395i	$-0.628679\pi$
$229$	3.12065	−	1.80171i	0.206218	−	0.119060i	0.599553	+	0.800335i	$0.295345\pi$
$230$	−35.4433	−	15.8028i	−2.33706	−	1.04200i
$231$	0.135693	−	0.0836138i	0.00892793	−	0.00550138i
$232$	−10.8360	−	10.8360i	−0.711419	−	0.711419i
$233$	−5.97972	+	1.60226i	−0.391744	+	0.104968i	−0.449314	−	0.893374i	$-0.648332\pi$
$233$	−5.97972	+	1.60226i	−0.391744	+	0.104968i	0.0575696	+	0.998341i	$0.481665\pi$
$234$	−2.42215	+	0.138927i	−0.158341	+	0.00908195i
$235$	−14.6777	+	5.62535i	−0.957465	+	0.366957i
$236$	1.69696	+	0.979739i	0.110463	+	0.0637756i
$237$	1.03738	−	4.36846i	0.0673852	−	0.283762i
$238$	−0.756260	−	2.82240i	−0.0490210	−	0.182949i
$239$	6.26026	+	10.8431i	0.404943	+	0.701381i	0.994315	−	0.106480i	$-0.0339582\pi$
$239$	6.26026	+	10.8431i	0.404943	+	0.701381i	−0.589372	+	0.807862i	$0.700625\pi$
$240$	7.15852	+	5.47090i	0.462080	+	0.353145i
$241$	−25.4062			−1.63656			−0.818280	−	0.574820i	$-0.805072\pi$
$241$	−25.4062			−1.63656			−0.818280	+	0.574820i	$0.805072\pi$
$242$	6.77954	+	25.3016i	0.435805	+	1.62645i
$243$	9.33638	−	12.4833i	0.598929	−	0.800802i
$244$	−19.2787	−	11.1306i	−1.23419	−	0.712561i
$245$	15.0287	−	1.57157i	0.960151	−	0.100404i
$246$	−15.4616	−	25.0919i	−0.985798	−	1.59980i
$247$	0.936719	+	1.14019i	0.0596020	+	0.0725488i
$248$	4.18023	−	15.6008i	0.265445	−	0.990654i
$249$	14.1981	−	26.3043i	0.899770	−	1.66696i
$250$	1.35560	+	26.6740i	0.0857354	+	1.68701i
$251$	−4.34932	+	2.51108i	−0.274527	+	0.158498i	−0.630943	−	0.775829i	$-0.717332\pi$
$251$	−4.34932	+	2.51108i	−0.274527	+	0.158498i	0.356416	+	0.934327i	$0.383998\pi$
$252$	1.11162	−	5.35968i	0.0700257	−	0.337628i
$253$	1.31186	+	0.351511i	0.0824757	+	0.0220993i
$254$	−13.7172	+	23.7589i	−0.860694	+	1.49077i
$255$	5.87348	+	7.62381i	0.367812	+	0.477422i
$256$	13.9171	−	24.1051i	0.869818	−	1.50657i
$257$	−7.65010	−	28.5506i	−0.477200	−	1.78093i	−0.612873	−	0.790181i	$-0.709986\pi$
$257$	−7.65010	−	28.5506i	−0.477200	−	1.78093i	0.135673	−	0.990754i	$-0.456680\pi$
$258$	−28.1518	+	8.41454i	−1.75265	+	0.523866i
$259$	2.07474	+	1.19785i	0.128918	+	0.0744307i
$260$	1.76697	−	2.17968i	0.109583	−	0.135178i
$261$	−0.645690	−	11.2574i	−0.0399672	−	0.696816i
$262$	0.0647449	−	0.241631i	0.00399996	−	0.0149280i
$263$	−4.17514	+	15.5818i	−0.257450	+	0.960818i	0.709260	+	0.704947i	$0.249029\pi$
$263$	−4.17514	+	15.5818i	−0.257450	+	0.960818i	−0.966711	+	0.255871i	$0.917638\pi$
$264$	−1.16174	−	0.627065i	−0.0714999	−	0.0385932i
$265$	−6.55915	+	8.09115i	−0.402926	+	0.497035i
$266$	−4.66762	+	2.11778i	−0.286190	+	0.129849i
$267$	−14.4327	−	3.42735i	−0.883269	−	0.209751i
$268$	−32.3864	−	8.67790i	−1.97831	−	0.530087i
$269$	−7.50583	+	13.0005i	−0.457638	+	0.792653i	−0.998836	−	0.0482428i	$-0.984638\pi$
$269$	−7.50583	+	13.0005i	−0.457638	+	0.792653i	0.541197	+	0.840896i	$0.317971\pi$
$270$	5.24564	+	27.2560i	0.319239	+	1.65875i
$271$	−7.83763	+	13.5752i	−0.476102	+	0.824633i	−0.999625	−	0.0273786i	$-0.991284\pi$
$271$	−7.83763	+	13.5752i	−0.476102	+	0.824633i	0.523523	+	0.852011i	$0.324617\pi$
$272$	−4.08751	+	4.08751i	−0.247841	+	0.247841i
$273$	−0.280817	−	0.0666858i	−0.0169958	−	0.00403601i
$274$	−5.78368	+	3.33921i	−0.349405	+	0.201729i
$275$	−0.193376	−	0.914505i	−0.0116610	−	0.0551467i
$276$	39.7086	−	24.4684i	2.39018	−	1.47283i
$277$	−24.6229	+	6.59768i	−1.47944	+	0.396416i	−0.906158	−	0.422939i	$-0.860998\pi$
$277$	−24.6229	+	6.59768i	−1.47944	+	0.396416i	−0.573287	+	0.819355i	$0.694332\pi$
$278$	21.9947	+	21.9947i	1.31915	+	1.31915i
$279$	9.93490	−	6.52172i	0.594787	−	0.390445i
$280$	2.63582	+	3.63193i	0.157521	+	0.217049i
$281$			16.4323i			0.980271i	0.871646	+	0.490136i	$0.163053\pi$
$281$			16.4323i			0.980271i	−0.871646	+	0.490136i	$0.836947\pi$
$282$	6.72023	−	28.2992i	0.400184	−	1.68519i
$283$	−1.83013	+	1.83013i	−0.108790	+	0.108790i	−0.759406	−	0.650617i	$-0.774511\pi$
$283$	−1.83013	+	1.83013i	−0.108790	+	0.108790i	0.650617	+	0.759406i	$0.274511\pi$
$284$	−8.34598	−	14.4557i	−0.495243	−	0.857786i
$285$	11.5101	−	12.3498i	0.681798	−	0.731541i
$286$	−0.0755924	+	0.130930i	−0.00446987	+	0.00774205i
$287$	−0.907494	−	3.38681i	−0.0535677	−	0.199917i
$288$	7.39774	−	2.44409i	0.435916	−	0.144019i
$289$	9.37499	−	5.41266i	0.551470	−	0.318392i
$290$	15.5964	+	12.6434i	0.915854	+	0.742445i
$291$	0.293712	+	0.476651i	0.0172177	+	0.0279418i
$292$	12.0300	−	44.8968i	0.704005	−	2.62738i
$293$	−2.16106	+	8.06517i	−0.126250	+	0.471172i	−0.999881	−	0.0154168i	$-0.995092\pi$
$293$	−2.16106	+	8.06517i	−0.126250	+	0.471172i	0.873631	+	0.486589i	$0.161759\pi$
$294$	−13.2812	+	24.6055i	−0.774574	+	1.43502i
$295$	−1.07960	−	0.481353i	−0.0628570	−	0.0280255i
$296$		−	19.8432i		−	1.15336i
$297$	−0.331027	−	0.913253i	−0.0192081	−	0.0529923i
$298$	51.1194	+	13.6974i	2.96127	+	0.793469i
$299$	−1.22970	−	2.12990i	−0.0711153	−	0.123175i
$300$	−27.3943	−	16.7341i	−1.58161	−	0.966144i
$301$	−3.49549			−0.201477
$302$	18.2045	−	18.2045i	1.04755	−	1.04755i
$303$	−13.2123	−	12.4762i	−0.759028	−	0.716740i
$304$	8.24541	+	5.90213i	0.472906	+	0.338510i
$305$	12.2651	+	5.46853i	0.702298	+	0.313127i
$306$	−17.7791	+	1.01975i	−1.01636	+	0.0582953i
$307$	−19.9045	+	5.33338i	−1.13601	+	0.304392i	−0.777345	−	0.629075i	$-0.783434\pi$
$307$	−19.9045	+	5.33338i	−1.13601	+	0.304392i	−0.358663	+	0.933467i	$0.616767\pi$
$308$	−0.241192	−	0.241192i	−0.0137432	−	0.0137432i
$309$	18.5452	−	11.4275i	1.05500	−	0.650090i
$310$	−3.32127	+	20.8983i	−0.188636	+	1.18695i
$311$	−0.0652411	+	0.0376669i	−0.00369948	+	0.00213590i	−0.501849	−	0.864955i	$-0.667347\pi$
$311$	−0.0652411	+	0.0376669i	−0.00369948	+	0.00213590i	0.498149	+	0.867091i	$0.334013\pi$
$312$	0.684633	+	2.29052i	0.0387597	+	0.129675i
$313$	17.4954	−	17.4954i	0.988900	−	0.988900i	−0.0110386	−	0.999939i	$-0.503514\pi$
$313$	17.4954	−	17.4954i	0.988900	−	0.988900i	0.999939	+	0.0110386i	$0.00351377\pi$
$314$	−4.04412	−	7.00461i	−0.228223	−	0.395293i
$315$	−0.330681	+	3.28543i	−0.0186318	+	0.185113i
$316$	−9.60880			−0.540537
$317$	−14.8119	+	14.8119i	−0.831918	+	0.831918i	−0.987779	−	0.155861i	$-0.950185\pi$
$317$	−14.8119	+	14.8119i	−0.831918	+	0.831918i	0.155861	+	0.987779i	$0.450185\pi$
$318$	−5.51956	−	18.4663i	−0.309522	−	1.03554i
$319$	−0.608521	−	0.351330i	−0.0340706	−	0.0196707i
$320$	−9.88561	+	22.1720i	−0.552622	+	1.23945i
$321$	−0.0543019	−	1.89503i	−0.00303084	−	0.105770i
$322$	8.25162	−	2.21101i	0.459845	−	0.123215i
$323$	6.87569	+	8.36923i	0.382574	+	0.465676i
$324$	−30.6087	−	13.2675i	−1.70048	−	0.737083i
$325$	−0.923388	+	1.41861i	−0.0512204	+	0.0786905i
$326$	21.4916	−	12.4082i	1.19031	−	0.687226i
$327$	16.3598	−	4.88993i	0.904700	−	0.270414i
$328$	−20.5358	+	20.5358i	−1.13390	+	1.13390i
$329$	1.73012	−	2.99666i	0.0953847	−	0.165211i
$330$	1.59925	+	0.658800i	0.0880358	+	0.0362657i
$331$	−8.17075	+	14.1521i	−0.449105	+	0.777873i	−0.998328	−	0.0578033i	$-0.981590\pi$
$331$	−8.17075	+	14.1521i	−0.449105	+	0.777873i	0.549223	+	0.835676i	$0.314924\pi$
$332$	−61.7902	−	16.5566i	−3.39118	−	0.908664i
$333$	9.71624	−	10.8986i	0.532447	−	0.597242i
$334$			7.39341i			0.404549i
$335$	19.9755	+	3.17461i	1.09138	+	0.173448i
$336$	−1.98254	+	0.0568095i	−0.108157	+	0.00309921i
$337$	−9.61756	−	9.61756i	−0.523902	−	0.523902i	0.394846	−	0.918747i	$-0.370798\pi$
$337$	−9.61756	−	9.61756i	−0.523902	−	0.523902i	−0.918747	+	0.394846i	$0.870798\pi$
$338$	−29.7327	+	7.96686i	−1.61725	+	0.433340i
$339$	2.11059	+	3.42517i	0.114632	+	0.186030i
$340$	12.9699	−	15.9992i	0.703391	−	0.867679i
$341$		−	0.740567i		−	0.0401040i
$342$	6.86093	+	30.4758i	0.370997	+	1.64794i
$343$	−4.78856	+	4.78856i	−0.258558	+	0.258558i
$344$	14.4763	+	25.0737i	0.780510	+	1.35188i
$345$	−22.2891	+	17.1718i	−1.20001	+	0.924500i
$346$	−1.18874	+	2.05896i	−0.0639072	+	0.110691i
$347$	9.69278	−	9.69278i	0.520336	−	0.520336i	−0.397337	−	0.917673i	$-0.630066\pi$
$347$	9.69278	−	9.69278i	0.520336	−	0.520336i	0.917673	+	0.397337i	$0.130066\pi$
$348$	−23.1206	+	6.91071i	−1.23939	+	0.370453i
$349$	−10.7887	−	6.22889i	−0.577508	−	0.333425i	0.182634	−	0.983181i	$-0.441538\pi$
$349$	−10.7887	−	6.22889i	−0.577508	−	0.333425i	−0.760143	+	0.649756i	$0.774871\pi$
$350$	−3.92951	−	4.37344i	−0.210041	−	0.233770i
$351$	−0.745527	+	1.59327i	−0.0397933	+	0.0850425i
$352$	0.125656	−	0.468955i	0.00669750	−	0.0249954i
$353$	−33.0194	+	8.84753i	−1.75745	+	0.470907i	−0.986190	−	0.165617i	$-0.947038\pi$
$353$	−33.0194	+	8.84753i	−1.75745	+	0.470907i	−0.771257	+	0.636524i	$0.780372\pi$
$354$	1.86214	−	1.14745i	0.0989716	−	0.0609863i
$355$	5.91434	+	8.14943i	0.313901	+	0.432527i
$356$			31.7460i			1.68254i
$357$	−2.06125	−	0.489486i	−0.109093	−	0.0259063i
$358$	5.48581	+	1.46992i	0.289934	+	0.0776876i
$359$	8.18207	−	14.1718i	0.431833	−	0.747957i	−0.565198	−	0.824955i	$-0.691200\pi$
$359$	8.18207	−	14.1718i	0.431833	−	0.747957i	0.997031	+	0.0769986i	$0.0245337\pi$
$360$	24.9364	−	11.2343i	1.31426	−	0.592100i
$361$	12.5128	−	14.2979i	0.658569	−	0.752521i
$362$	−2.98887	−	11.1546i	−0.157091	−	0.586273i
$363$	18.4782	+	4.38803i	0.969852	+	0.230312i
$364$			0.617681i			0.0323753i
$365$	−4.40092	+	27.6918i	−0.230355	+	1.44945i
$366$	−21.1553	+	13.0359i	−1.10581	+	0.681397i
$367$	−7.86829	−	7.86829i	−0.410722	−	0.410722i	0.471268	−	0.881990i	$-0.343796\pi$
$367$	−7.86829	−	7.86829i	−0.410722	−	0.410722i	−0.881990	+	0.471268i	$0.843796\pi$
$368$	−11.9503	−	11.9503i	−0.622953	−	0.622953i
$369$	−21.3344	+	1.22368i	−1.11063	+	0.0637021i
$370$	2.70387	+	25.8568i	0.140567	+	1.34423i
$371$		−	2.29289i		−	0.119041i
$372$	−18.4917	−	17.4614i	−0.958749	−	0.905334i
$373$	31.5202	+	8.44580i	1.63205	+	0.437307i	0.954510	−	0.298178i	$-0.0963787\pi$
$373$	31.5202	+	8.44580i	1.63205	+	0.437307i	0.677542	+	0.735485i	$0.263045\pi$
$374$	−0.554862	+	0.961049i	−0.0286912	+	0.0496947i
$375$	17.4859	+	8.32135i	0.902966	+	0.429713i
$376$	−28.6607			−1.47806
$377$	0.329327	+	1.22907i	0.0169612	+	0.0633001i
$378$	−4.67541	−	3.93370i	−0.240477	−	0.202328i
$379$			37.9059i			1.94710i	0.228483	+	0.973548i	$0.426623\pi$
$379$			37.9059i			1.94710i	−0.228483	+	0.973548i	$0.573377\pi$
$380$	−31.4056	−	17.8595i	−1.61107	−	0.916171i
$381$	10.4350	+	16.9344i	0.534601	+	0.867577i
$382$	−0.0416033	−	0.0416033i	−0.00212861	−	0.00212861i
$383$	−13.5836	−	13.5836i	−0.694090	−	0.694090i	0.269039	−	0.963129i	$-0.413294\pi$
$383$	−13.5836	−	13.5836i	−0.694090	−	0.694090i	−0.963129	+	0.269039i	$0.913294\pi$
$384$	−18.8459	−	30.5840i	−0.961723	−	1.56073i
$385$	0.159842	+	0.129577i	0.00814630	+	0.00660386i
$386$	−46.9764	+	27.1218i	−2.39103	+	1.38046i
$387$	−4.32642	+	20.8598i	−0.219924	+	1.06036i
$388$	0.847240	−	0.847240i	0.0430121	−	0.0430121i
$389$	−23.1252			−1.17249			−0.586247	−	0.810132i	$-0.699395\pi$
$389$	−23.1252			−1.17249			−0.586247	+	0.810132i	$0.699395\pi$
$390$	−1.20422	−	2.89138i	−0.0609782	−	0.146411i
$391$	−9.02621	−	15.6339i	−0.456475	−	0.790638i
$392$	26.6132	+	7.13098i	1.34417	+	0.360169i
$393$	−0.131872	−	0.124525i	−0.00665208	−	0.00628147i
$394$	−45.3637	+	26.1908i	−2.28539	+	1.31947i
$395$	5.76505	−	0.602857i	0.290071	−	0.0303330i
$396$	−1.73787	+	1.14082i	−0.0873312	+	0.0573282i
$397$	−26.8942	+	7.20627i	−1.34978	+	0.361672i	−0.860053	−	0.510204i	$-0.829570\pi$
$397$	−26.8942	+	7.20627i	−1.34978	+	0.361672i	−0.489726	+	0.871877i	$0.662903\pi$
$398$	34.3472	−	9.20331i	1.72167	−	0.461320i
$399$	−0.256263	+	3.70746i	−0.0128292	+	0.185605i
$400$	−3.60600	+	11.0584i	−0.180300	+	0.552921i
$401$			33.5292i			1.67437i	0.546922	+	0.837184i	$0.315800\pi$
$401$			33.5292i			1.67437i	−0.546922	+	0.837184i	$0.684200\pi$
$402$	−25.6959	+	27.2119i	−1.28159	+	1.35721i
$403$	−0.948279	+	0.948279i	−0.0472371	+	0.0472371i
$404$	−19.4447	+	33.6792i	−0.967409	+	1.67560i
$405$	19.1969	+	6.03980i	0.953901	+	0.300120i
$406$	−4.41975			−0.219349
$407$	−0.235488	−	0.878853i	−0.0116727	−	0.0435631i
$408$	5.02533	+	16.8128i	0.248791	+	0.832358i
$409$	−12.5417	−	7.24095i	−0.620147	−	0.358042i	0.156779	−	0.987634i	$-0.449889\pi$
$409$	−12.5417	−	7.24095i	−0.620147	−	0.358042i	−0.776926	+	0.629592i	$0.783222\pi$
$410$	23.9611	−	29.5575i	1.18335	−	1.45974i
$411$	0.138695	+	4.84020i	0.00684133	+	0.238749i
$412$	−32.9638	−	32.9638i	−1.62401	−	1.62401i
$413$	0.251344	−	0.0673475i	0.0123679	−	0.00331396i
$414$	−2.98136	−	51.9791i	−0.146526	−	2.55464i
$415$	38.1115	+	6.05687i	1.87082	+	0.297320i
$416$	−0.761386	+	0.439586i	−0.0373300	+	0.0215525i
$417$	21.6082	−	6.45866i	1.05816	−	0.316282i
$418$	1.82222	+	0.684760i	0.0891277	+	0.0334927i
$419$	−1.58258	−	2.74111i	−0.0773141	−	0.133912i	0.824776	−	0.565459i	$-0.191301\pi$
$419$	−1.58258	−	2.74111i	−0.0773141	−	0.133912i	−0.902090	+	0.431547i	$0.857968\pi$
$420$	7.00432	−	0.935960i	0.341776	−	0.0456702i
$421$	−7.05513	−	12.2198i	−0.343846	−	0.595559i	0.641297	−	0.767292i	$-0.278396\pi$
$421$	−7.05513	−	12.2198i	−0.343846	−	0.595559i	−0.985143	+	0.171734i	$0.945063\pi$
$422$	−10.7023	−	2.86768i	−0.520981	−	0.139596i
$423$	−15.7415	−	14.0337i	−0.765379	−	0.682343i
$424$	−16.4472	+	9.49581i	−0.798748	+	0.461157i
$425$	−6.77784	+	10.4129i	−0.328773	+	0.505099i
$426$	−18.6249	+	0.533694i	−0.902379	+	0.0258576i
$427$	−2.85546	+	0.765118i	−0.138185	+	0.0370267i
$428$	−3.91893	+	1.05007i	−0.189428	+	0.0507572i
$429$	0.0575049	+	0.0933218i	0.00277636	+	0.00450562i
$430$	−22.2800	−	30.6998i	−1.07444	−	1.48048i
$431$	8.41736	−	4.85976i	0.405450	−	0.234087i	−0.283383	−	0.959007i	$-0.591457\pi$
$431$	8.41736	−	4.85976i	0.405450	−	0.234087i	0.688833	+	0.724920i	$0.258123\pi$
$432$	−2.11480	+	11.9014i	−0.101748	+	0.572605i
$433$	−33.2083	−	8.89814i	−1.59589	−	0.427617i	−0.652092	−	0.758140i	$-0.726108\pi$
$433$	−33.2083	−	8.89814i	−1.59589	−	0.427617i	−0.943798	+	0.330523i	$0.892775\pi$
$434$	−2.32910	−	4.03411i	−0.111800	−	0.193644i
$435$	13.4382	−	5.59685i	0.644313	−	0.268348i
$436$	−18.2708	−	31.6460i	−0.875015	−	1.51557i
$437$	−24.4684	+	20.1019i	−1.17048	+	0.961603i
$438$	−37.7235	−	35.6218i	−1.80250	−	1.70208i
$439$	14.2755	−	8.24195i	0.681332	−	0.393367i	−0.119025	−	0.992891i	$-0.537977\pi$
$439$	14.2755	−	8.24195i	0.681332	−	0.393367i	0.800357	+	0.599524i	$0.204644\pi$
$440$	0.267504	−	1.68320i	0.0127527	−	0.0802436i
$441$	11.1253	+	16.9478i	0.529775	+	0.807037i
$442$	1.94109	−	0.520113i	0.0923281	−	0.0247392i
$443$	2.67007	+	2.67007i	0.126859	+	0.126859i	0.767685	−	0.640827i	$-0.221408\pi$
$443$	2.67007	+	2.67007i	0.126859	+	0.126859i	−0.640827	+	0.767685i	$0.721408\pi$
$444$	−27.4970	−	14.8420i	−1.30495	−	0.704368i
$445$	−1.99175	−	19.0469i	−0.0944180	−	0.902909i
$446$	−49.5389	−	28.6013i	−2.34573	−	1.35431i
$447$	26.3445	−	27.8988i	1.24605	−	1.31957i
$448$	−1.38312	−	5.16189i	−0.0653465	−	0.243876i
$449$	0.700045			0.0330372			0.0165186	−	0.999864i	$-0.494742\pi$
$449$	0.700045			0.0330372			0.0165186	+	0.999864i	$0.494742\pi$
$450$	−30.9626	+	18.0368i	−1.45959	+	0.850262i
$451$	−0.665821	+	1.15324i	−0.0313523	+	0.0543038i
$452$	6.08820	−	6.08820i	0.286365	−	0.286365i
$453$	−5.34570	−	17.8846i	−0.251163	−	0.840293i
$454$		−	27.4789i		−	1.28965i
$455$	−0.0387533	−	0.370594i	−0.00181678	−	0.0173737i
$456$	27.6555	−	13.5160i	1.29509	−	0.632943i
$457$	5.54037	−	1.48454i	0.259167	−	0.0694437i	−0.126896	−	0.991916i	$-0.540501\pi$
$457$	5.54037	−	1.48454i	0.259167	−	0.0694437i	0.386063	+	0.922472i	$0.373835\pi$
$458$	−8.31478	+	2.22794i	−0.388524	+	0.104105i
$459$	−5.47230	+	11.6949i	−0.255425	+	0.545871i
$460$	46.7756	+	37.9190i	2.18092	+	1.76798i
$461$	19.8795	−	11.4774i	0.925881	−	0.534558i	0.0403745	−	0.999185i	$-0.487145\pi$
$461$	19.8795	−	11.4774i	0.925881	−	0.534558i	0.885507	+	0.464627i	$0.153812\pi$
$462$	−0.364805	+	0.109040i	−0.0169723	+	0.00507299i
$463$	18.9207	+	5.06978i	0.879319	+	0.235613i	0.670113	−	0.742259i	$-0.266246\pi$
$463$	18.9207	+	5.06978i	0.879319	+	0.235613i	0.209206	+	0.977872i	$0.432912\pi$
$464$	4.37186	+	7.57229i	0.202959	+	0.351535i
$465$	12.1901	+	9.31629i	0.565303	+	0.432033i
$466$	14.7887			0.685073
$467$	−13.7245	+	13.7245i	−0.635095	+	0.635095i	−0.949342	−	0.314246i	$-0.898248\pi$
$467$	−13.7245	+	13.7245i	−0.635095	+	0.635095i	0.314246	+	0.949342i	$0.398248\pi$
$468$	3.68609	+	0.764512i	0.170389	+	0.0353396i
$469$	−3.85598	+	2.22625i	−0.178052	+	0.102799i
$470$	37.3464	−	3.90535i	1.72266	−	0.180140i
$471$	−5.86196	+	0.167974i	−0.270105	+	0.00773982i
$472$	−1.52402	−	1.52402i	−0.0701486	−	0.0701486i
$473$	0.938714	+	0.938714i	0.0431621	+	0.0431621i
$474$	−5.09468	+	9.43870i	−0.234007	+	0.433534i
$475$	19.9631	+	8.74487i	0.915972	+	0.401242i
$476$			4.53389i			0.207810i
$477$	−13.6831	−	2.83794i	−0.626505	−	0.129940i
$478$	−7.74126	−	28.8908i	−0.354077	−	1.32143i
$479$	18.3631			0.839031			0.419515	−	0.907748i	$-0.362200\pi$
$479$	18.3631			0.839031			0.419515	+	0.907748i	$0.362200\pi$
$480$	6.13849	+	7.96779i	0.280183	+	0.363678i
$481$	−0.823813	+	1.42689i	−0.0375626	+	0.0650604i
$482$	58.6243	+	15.7083i	2.67026	+	0.715494i
$483$	1.43107	−	6.02629i	0.0651159	−	0.274206i
$484$		−	40.6443i		−	1.84747i
$485$	−0.455168	+	0.561480i	−0.0206681	+	0.0254955i
$486$	−29.2617	+	23.0323i	−1.32734	+	1.04477i
$487$	25.0504	+	25.0504i	1.13514	+	1.13514i	0.989309	+	0.145833i	$0.0465861\pi$
$487$	25.0504	+	25.0504i	1.13514	+	1.13514i	0.145833	+	0.989309i	$0.453414\pi$
$488$	17.3140	+	17.3140i	0.783767	+	0.783767i
$489$	−0.515379	−	17.9857i	−0.0233062	−	0.813343i
$490$	−35.6501	−	5.66570i	−1.61051	−	0.255950i
$491$			17.0264i			0.768392i	0.923251	+	0.384196i	$0.125521\pi$
$491$			17.0264i			0.768392i	−0.923251	+	0.384196i	$0.874479\pi$
$492$	13.0968	+	43.8168i	0.590450	+	1.97542i
$493$	2.41732	+	9.02156i	0.108871	+	0.406311i
$494$	−1.45649	−	3.21013i	−0.0655306	−	0.144430i
$495$	0.971106	−	0.793497i	0.0436480	−	0.0356650i
$496$	−4.60772	+	7.98081i	−0.206893	+	0.358349i
$497$	−2.14110	−	0.573705i	−0.0960413	−	0.0257342i
$498$	−49.0254	+	51.9179i	−2.19688	+	2.32650i
$499$			9.83274i			0.440174i	0.975480	+	0.220087i	$0.0706341\pi$
$499$			9.83274i			0.440174i	−0.975480	+	0.220087i	$0.929366\pi$
$500$	8.68049	−	40.5230i	0.388203	−	1.81224i
$501$	4.71727	+	2.54622i	0.210752	+	0.113757i
$502$	11.5885	−	3.10513i	0.517220	−	0.138589i
$503$	10.7465	−	40.1063i	0.479161	−	1.78825i	−0.125866	−	0.992047i	$-0.540171\pi$
$503$	10.7465	−	40.1063i	0.479161	−	1.78825i	0.605027	−	0.796205i	$-0.293162\pi$
$504$	−2.70685	+	5.37793i	−0.120573	+	0.239552i
$505$	9.55332	−	21.4267i	0.425117	−	0.953475i
$506$	−2.80974	−	1.62220i	−0.124908	−	0.0721158i
$507$	−5.15652	+	21.7143i	−0.229009	+	0.964366i
$508$	30.1007	−	30.1007i	1.33550	−	1.33550i
$509$	3.63497	−	6.29595i	0.161117	−	0.279063i	−0.774152	−	0.632999i	$-0.781824\pi$
$509$	3.63497	−	6.29595i	0.161117	−	0.279063i	0.935270	+	0.353936i	$0.115157\pi$
$510$	−8.83922	−	21.2232i	−0.391407	−	0.939781i
$511$	−3.08622	−	5.34548i	−0.136526	−	0.236470i
$512$	−17.6852	+	17.6852i	−0.781583	+	0.781583i
$513$	21.8076	+	6.11806i	0.962827	+	0.270119i
$514$			70.6096i			3.11446i
$515$	21.8457	+	17.7094i	0.962635	+	0.780367i
$516$	45.5728	−	1.30588i	2.00623	−	0.0574883i
$517$	−1.26938	+	0.340128i	−0.0558271	+	0.0149588i
$518$	−4.04679	−	4.04679i	−0.177806	−	0.177806i
$519$	0.904303	+	1.46755i	0.0396945	+	0.0644183i
$520$	−2.49783	+	1.81277i	−0.109537	+	0.0794952i
$521$		−	37.6884i		−	1.65116i	−0.564286	−	0.825579i	$-0.690849\pi$
$521$		−	37.6884i		−	1.65116i	0.564286	−	0.825579i	$-0.309151\pi$
$522$	−5.47039	+	26.3754i	−0.239432	+	1.15442i
$523$	−13.6703	−	3.66294i	−0.597759	−	0.160169i	−0.0527621	−	0.998607i	$-0.516802\pi$
$523$	−13.6703	−	3.66294i	−0.597759	−	0.160169i	−0.544997	+	0.838438i	$0.683469\pi$
$524$	−0.194078	+	0.336152i	−0.00847832	+	0.0146849i
$525$	−4.14370	+	1.00101i	−0.180846	+	0.0436875i
$526$	19.2681	−	33.3733i	0.840128	−	1.45514i
$527$	−6.96054	+	6.96054i	−0.303206	+	0.303206i
$528$	0.547668	+	0.517156i	0.0238342	+	0.0225063i
$529$	25.7888	−	14.8892i	1.12125	−	0.647356i
$530$	20.1377	−	14.6147i	0.874727	−	0.634821i
$531$	−0.0908123	−	1.58329i	−0.00394092	−	0.0687088i
$532$	7.84627	−	1.29959i	0.340179	−	0.0563443i
$533$	2.32926	−	0.624123i	0.100891	−	0.0270338i
$534$	31.1841	+	16.8321i	1.34947	+	0.728396i
$535$	2.28538	−	0.875893i	0.0988057	−	0.0378681i
$536$	31.9385	+	18.4397i	1.37953	+	0.796473i
$537$	2.82712	−	2.99393i	0.121999	−	0.129197i
$538$	25.3575	−	25.3575i	1.09324	−	1.09324i
$539$	1.26332			0.0544151
$540$	3.08388	−	42.9576i	0.132709	−	1.84860i
$541$	5.62198	+	9.73756i	0.241708	+	0.418650i	0.961201	−	0.275849i	$-0.0889591\pi$
$541$	5.62198	+	9.73756i	0.241708	+	0.418650i	−0.719493	+	0.694500i	$0.755626\pi$
$542$	26.4785	−	26.4785i	1.13735	−	1.13735i
$543$	−8.14639	−	1.93453i	−0.349595	−	0.0830187i
$544$	−5.58871	+	3.22664i	−0.239614	+	0.138341i
$545$	12.9476	+	17.8406i	0.554612	+	0.764206i
$546$	0.606746	+	0.327501i	0.0259664	+	0.0140157i
$547$	11.6256	+	11.6256i	0.497075	+	0.497075i	0.910526	−	0.413451i	$-0.135677\pi$
$547$	11.6256	+	11.6256i	0.497075	+	0.497075i	−0.413451	+	0.910526i	$0.635677\pi$
$548$	10.0095	−	2.68204i	0.427586	−	0.114571i
$549$	1.03170	+	17.9873i	0.0440317	+	0.767680i
$550$	−0.119216	+	2.22976i	−0.00508338	+	0.0950772i
$551$	14.9197	−	6.76930i	0.635599	−	0.288382i
$552$	−49.1542	+	14.6921i	−2.09214	+	0.625339i
$553$	−0.902275	+	0.902275i	−0.0383687	+	0.0383687i
$554$	60.8959			2.58722
$555$	17.4288	+	7.17966i	0.739810	+	0.304760i
$556$	−24.1323	−	41.7983i	−1.02344	−	1.77264i
$557$	41.3023	+	11.0669i	1.75003	+	0.468920i	0.984633	−	0.174634i	$-0.0558741\pi$
$557$	41.3023	+	11.0669i	1.75003	+	0.468920i	0.765401	+	0.643554i	$0.222541\pi$
$558$	−26.9568	+	8.90609i	−1.14117	+	0.377025i
$559$		−	2.40400i		−	0.101678i
$560$	−0.916341	−	2.39092i	−0.0387225	−	0.101035i
$561$	0.422096	+	0.684999i	0.0178209	+	0.0289207i
$562$	10.1599	−	37.9172i	0.428569	−	1.59944i
$563$	5.48629	−	20.4751i	0.231219	−	0.862923i	−0.748597	−	0.663025i	$-0.769272\pi$
$563$	5.48629	−	20.4751i	0.231219	−	0.862923i	0.979817	−	0.199898i	$-0.0640610\pi$
$564$	−21.4371	+	39.7156i	−0.902664	+	1.67233i
$565$	−3.27080	+	4.03475i	−0.137604	+	0.169743i
$566$	5.35452	−	3.09143i	0.225067	−	0.129943i
$567$	−4.12002	+	1.62835i	−0.173024	+	0.0683844i
$568$	4.75191	+	17.7344i	0.199386	+	0.744118i
$569$	14.0282	−	24.2975i	0.588091	−	1.01860i	−0.406391	−	0.913699i	$-0.633213\pi$
$569$	14.0282	−	24.2975i	0.588091	−	1.01860i	0.994482	−	0.104904i	$-0.0334537\pi$
$570$	−34.1949	+	21.3804i	−1.43227	+	0.895527i
$571$	0.641358	+	1.11086i	0.0268400	+	0.0464882i	0.879133	−	0.476576i	$-0.158122\pi$
$571$	0.641358	+	1.11086i	0.0268400	+	0.0464882i	−0.852293	+	0.523064i	$0.824789\pi$
$572$	0.165878	−	0.165878i	0.00693572	−	0.00693572i
$573$	−0.0408722	+	0.0122167i	−0.00170746	+	0.000510359i
$574$			8.37608i			0.349611i
$575$	−30.4433	−	19.8158i	−1.26957	−	0.826376i
$576$	−32.5161	+	1.86502i	−1.35484	+	0.0777093i
$577$	−28.3804	−	28.3804i	−1.18149	−	1.18149i	−0.979358	−	0.202133i	$-0.935213\pi$
$577$	−28.3804	−	28.3804i	−1.18149	−	1.18149i	−0.202133	−	0.979358i	$-0.564787\pi$
$578$	−24.9791	+	6.69314i	−1.03899	+	0.278398i
$579$	1.12651	+	39.3132i	0.0468163	+	1.63380i
$580$	−18.2982	−	25.2132i	−0.759790	−	1.04692i
$581$	−7.35685	+	4.24748i	−0.305214	+	0.176215i
$582$	−0.383026	−	1.28146i	−0.0158770	−	0.0531181i
$583$	−0.615755	+	0.615755i	−0.0255019	+	0.0255019i
$584$	−25.5627	+	44.2758i	−1.05779	+	1.83215i
$585$	−2.25953	−	0.227424i	−0.0934201	−	0.00940282i
$586$	9.97316	−	17.2740i	0.411988	−	0.713583i
$587$	−24.6032	−	6.59240i	−1.01548	−	0.272098i	−0.287564	−	0.957762i	$-0.592845\pi$
$587$	−24.6032	−	6.59240i	−1.01548	−	0.272098i	−0.727918	+	0.685664i	$0.759512\pi$
$588$	29.7872	−	31.5446i	1.22840	−	1.30088i
$589$	14.0409	+	10.0506i	0.578547	+	0.414129i
$590$	2.19354	+	1.77821i	0.0903068	+	0.0732079i
$591$	1.08784	+	37.9636i	0.0447479	+	1.56161i
$592$	−2.93035	+	10.9362i	−0.120437	+	0.449476i
$593$	8.98617	−	33.5368i	0.369018	−	1.37719i	−0.492874	−	0.870101i	$-0.664054\pi$
$593$	8.98617	−	33.5368i	0.369018	−	1.37719i	0.861892	−	0.507092i	$-0.169280\pi$
$594$	0.199185	+	2.31198i	0.00817264	+	0.0948616i
$595$	−0.284457	−	2.72023i	−0.0116616	−	0.111518i
$596$	−71.1162	−	41.0589i	−2.91303	−	1.68184i
$597$	5.95680	−	25.0843i	0.243796	−	1.02663i
$598$	1.52061	+	5.67500i	0.0621824	+	0.232068i
$599$	18.4237	−	31.9108i	0.752773	−	1.30384i	−0.193701	−	0.981061i	$-0.562049\pi$
$599$	18.4237	−	31.9108i	0.752773	−	1.30384i	0.946474	−	0.322780i	$-0.104617\pi$
$600$	24.3412	+	25.5778i	0.993725	+	1.04421i
$601$	10.6832	−	18.5038i	0.435776	−	0.754786i	−0.561583	−	0.827421i	$-0.689807\pi$
$601$	10.6832	−	18.5038i	0.435776	−	0.754786i	0.997359	+	0.0726344i	$0.0231406\pi$
$602$	8.06576	+	2.16121i	0.328736	+	0.0880845i
$603$	8.51282	+	25.7665i	0.346669	+	1.04929i
$604$	−34.5956	+	19.9738i	−1.40768	+	0.812722i
$605$	2.55003	+	24.3856i	0.103673	+	0.991417i
$606$	22.7732	+	36.9575i	0.925098	+	1.50130i
$607$	−11.1653	+	41.6695i	−0.453186	+	1.69131i	0.240181	+	0.970728i	$0.422793\pi$
$607$	−11.1653	+	41.6695i	−0.453186	+	1.69131i	−0.693367	+	0.720584i	$0.743874\pi$
$608$	7.18591	+	8.74684i	0.291427	+	0.354731i
$609$	−1.52212	+	2.81997i	−0.0616794	+	0.114271i
$610$	−24.9203	−	20.2018i	−1.00899	−	0.817948i
$611$	2.06093	+	1.18988i	0.0833764	+	0.0481374i
$612$	27.0565	+	5.61166i	1.09370	+	0.226838i
$613$	−10.2131	−	38.1158i	−0.412503	−	1.53948i	−0.789784	−	0.613385i	$-0.789807\pi$
$613$	−10.2131	−	38.1158i	−0.412503	−	1.53948i	0.377281	−	0.926099i	$-0.376859\pi$
$614$	49.2266			1.98662
$615$	−10.6069	−	25.4674i	−0.427710	−	1.02694i
$616$	0.187591	+	0.324918i	0.00755827	+	0.0130913i
$617$	−1.16201	−	4.33669i	−0.0467809	−	0.174589i	0.938583	−	0.345054i	$-0.112139\pi$
$617$	−1.16201	−	4.33669i	−0.0467809	−	0.174589i	−0.985364	+	0.170466i	$0.945473\pi$
$618$	−49.8580	+	14.9025i	−2.00558	+	0.599467i
$619$	−34.6980	−	20.0329i	−1.39463	−	0.805190i	−0.400807	−	0.916163i	$-0.631270\pi$
$619$	−34.6980	−	20.0329i	−1.39463	−	0.805190i	−0.993823	+	0.110973i	$0.964603\pi$
$620$	13.3706	−	29.9883i	0.536977	−	1.20436i
$621$	−34.1914	−	15.9989i	−1.37205	−	0.642014i
$622$	0.173831	−	0.0465779i	0.00696999	−	0.00186760i
$623$	2.98098	+	2.98098i	0.119431	+	0.119431i
$624$	−0.0390704	−	1.36348i	−0.00156407	−	0.0545829i
$625$	−2.66567	+	24.8575i	−0.106627	+	0.994299i
$626$	−51.1874	+	29.5531i	−2.04586	+	1.18118i
$627$	1.06446	−	0.926820i	0.0425104	−	0.0370136i
$628$	3.24822	+	12.1225i	0.129618	+	0.483742i
$629$	−6.04694	+	10.4736i	−0.241107	+	0.417610i
$630$	2.79437	−	7.37658i	0.111330	−	0.293890i
$631$	−10.6277	−	18.4077i	−0.423083	−	0.732801i	0.573157	−	0.819446i	$-0.305719\pi$
$631$	−10.6277	−	18.4077i	−0.423083	−	0.732801i	−0.996239	+	0.0866452i	$0.972385\pi$
$632$	10.2089	+	2.73546i	0.406087	+	0.108811i
$633$	−5.51547	+	5.84088i	−0.219220	+	0.232154i
$634$	43.3360	−	25.0201i	1.72109	−	0.993674i
$635$	−16.1712	+	19.9482i	−0.641734	+	0.791622i
$636$	0.856600	+	29.8937i	0.0339664	+	1.18536i
$637$	−1.61765	−	1.61765i	−0.0640937	−	0.0640937i
$638$	1.18692	+	1.18692i	0.0469908	+	0.0469908i
$639$	−6.07372	+	12.0672i	−0.240273	+	0.477370i
$640$	29.2056	−	36.0270i	1.15445	−	1.42409i
$641$	−4.42191	+	2.55299i	−0.174655	+	0.100837i	−0.584779	−	0.811193i	$-0.698819\pi$
$641$	−4.42191	+	2.55299i	−0.174655	+	0.100837i	0.410124	+	0.912030i	$0.365485\pi$
$642$	−1.04637	+	4.40631i	−0.0412970	+	0.173903i
$643$	−18.5760	+	18.5760i	−0.732566	+	0.732566i	−0.971127	−	0.238561i	$-0.923324\pi$
$643$	−18.5760	+	18.5760i	−0.732566	+	0.732566i	0.238561	+	0.971127i	$0.423324\pi$
$644$	−13.2554			−0.522334
$645$	−27.2607	+	3.64274i	−1.07339	+	0.143433i
$646$	−10.6909	−	23.5629i	−0.420628	−	0.927071i
$647$	31.0766	−	31.0766i	1.22175	−	1.22175i	0.254736	−	0.967011i	$-0.418011\pi$
$647$	31.0766	−	31.0766i	1.22175	−	1.22175i	0.967011	−	0.254736i	$-0.0819887\pi$
$648$	28.7432	+	22.8098i	1.12914	+	0.896054i
$649$	−0.0855847	−	0.0494124i	−0.00335949	−	0.00193961i
$650$	3.00780	−	2.70250i	0.117976	−	0.106001i
$651$	−3.37603	+	0.0967398i	−0.132317	+	0.00379153i
$652$	−37.1945	+	9.96623i	−1.45665	+	0.390308i
$653$	2.50895	−	9.36354i	0.0981829	−	0.366424i	−0.899300	−	0.437333i	$-0.855923\pi$
$653$	2.50895	−	9.36354i	0.0981829	−	0.366424i	0.997483	+	0.0709088i	$0.0225899\pi$
$654$	−40.7732	+	1.16835i	−1.59436	+	0.0456862i
$655$	0.0953518	−	0.213860i	0.00372571	−	0.00835620i
$656$	14.3506	−	8.28532i	0.560297	−	0.323487i
$657$	−35.7197	+	11.8012i	−1.39356	+	0.460409i
$658$	−5.84500	+	5.84500i	−0.227862	+	0.227862i
$659$	−27.6948			−1.07884			−0.539419	−	0.842038i	$-0.681356\pi$
$659$	−27.6948			−1.07884			−0.539419	+	0.842038i	$0.681356\pi$
$660$	−2.13236	−	1.62966i	−0.0830021	−	0.0634343i
$661$	11.4391	−	19.8131i	0.444929	−	0.770639i	−0.553118	−	0.833103i	$-0.686562\pi$
$661$	11.4391	−	19.8131i	0.444929	−	0.770639i	0.998047	+	0.0624633i	$0.0198956\pi$
$662$	27.6039	−	27.6039i	1.07285	−	1.07285i
$663$	0.336641	−	1.41761i	0.0130740	−	0.0550553i
$664$	60.9356	+	35.1812i	2.36476	+	1.36530i
$665$	−4.62604	+	1.27200i	−0.179390	+	0.0493260i
$666$	−29.1584	+	19.1409i	−1.12987	+	0.741696i
$667$	−26.3756	+	7.06732i	−1.02127	+	0.273648i
$668$	2.96918	−	11.0811i	0.114881	−	0.428742i
$669$	−35.3094	+	21.7577i	−1.36514	+	0.841199i
$670$	−44.1302	−	19.6759i	−1.70490	−	0.760147i
$671$	0.972306	+	0.561361i	0.0375355	+	0.0216711i
$672$	−2.15425	−	0.511571i	−0.0831019	−	0.0197343i
$673$	9.79144	+	36.5422i	0.377432	+	1.40860i	0.849758	+	0.527173i	$0.176748\pi$
$673$	9.79144	+	36.5422i	0.377432	+	1.40860i	−0.472326	+	0.881424i	$0.656585\pi$
$674$	16.2459	+	28.1387i	0.625767	+	1.08386i
$675$	0.844904	+	25.9670i	0.0325204	+	0.999471i
$676$	47.7625			1.83702
$677$	1.37926	+	5.14748i	0.0530094	+	0.197834i	0.987352	−	0.158541i	$-0.0506791\pi$
$677$	1.37926	+	5.14748i	0.0530094	+	0.197834i	−0.934343	+	0.356375i	$0.884012\pi$
$678$	−2.75240	−	9.20845i	−0.105705	−	0.353648i
$679$		−	0.159113i		−	0.00610621i
$680$	−18.3346	+	13.3061i	−0.703098	+	0.510264i
$681$	−17.5326	−	9.46347i	−0.671849	−	0.362641i
$682$	−0.457882	+	1.70884i	−0.0175332	+	0.0654349i
$683$	−3.61197	−	3.61197i	−0.138208	−	0.138208i	0.634618	−	0.772826i	$-0.281158\pi$
$683$	−3.61197	−	3.61197i	−0.138208	−	0.138208i	−0.772826	+	0.634618i	$0.781158\pi$
$684$	1.95598	−	48.4321i	0.0747887	−	1.85185i
$685$	−5.83721	+	2.23716i	−0.223028	+	0.0854776i
$686$	14.0102	−	8.08878i	0.534911	−	0.308831i
$687$	−1.44202	+	6.07242i	−0.0550166	+	0.231677i
$688$	−4.27559	−	15.9567i	−0.163005	−	0.608344i
$689$	1.57692			0.0600758
$690$	62.0486	−	25.8425i	2.36215	−	0.983807i
$691$	21.6907	−	37.5694i	0.825154	−	1.42921i	−0.0766472	−	0.997058i	$-0.524422\pi$
$691$	21.6907	−	37.5694i	0.825154	−	1.42921i	0.901801	−	0.432151i	$-0.142245\pi$
$692$	2.60855	−	2.60855i	0.0991621	−	0.0991621i
$693$	−0.0560639	+	0.270311i	−0.00212969	+	0.0102683i
$694$	−28.3587	+	16.3729i	−1.07648	+	0.621508i
$695$	17.1012	+	23.5640i	0.648687	+	0.893832i
$696$	26.5318	−	0.760265i	1.00569	−	0.0288178i
$697$	17.0972	−	4.58118i	0.647602	−	0.173524i
$698$	21.0435	+	21.0435i	0.796509	+	0.796509i
$699$	5.09309	−	9.43575i	0.192638	−	0.356893i
$700$	4.13313	+	8.13294i	0.156218	+	0.307396i
$701$	−3.50443	−	2.02328i	−0.132360	−	0.0764183i	0.432358	−	0.901702i	$-0.357682\pi$
$701$	−3.50443	−	2.02328i	−0.132360	−	0.0764183i	−0.564718	+	0.825284i	$0.691015\pi$
$702$	2.70538	−	3.21548i	0.102108	−	0.121361i
$703$	19.8587	+	7.46258i	0.748986	+	0.281457i
$704$	−1.01479	+	1.75766i	−0.0382463	+	0.0662445i
$705$	10.3700	−	25.1734i	0.390557	−	0.948084i
$706$	81.6618			3.07338
$707$	1.33663	+	4.98838i	0.0502693	+	0.187607i
$708$	−3.25176	+	0.971949i	−0.122209	+	0.0365281i
$709$			33.1556i			1.24519i	0.782546	+	0.622593i	$0.213921\pi$
$709$			33.1556i			1.24519i	−0.782546	+	0.622593i	$0.786079\pi$
$710$	−8.60851	−	22.4614i	−0.323072	−	0.842960i
$711$	4.26768	+	6.50120i	0.160051	+	0.243814i
$712$	9.03755	−	33.7286i	0.338696	−	1.26403i
$713$	−20.3499	−	20.3499i	−0.762111	−	0.762111i
$714$	4.45363	+	2.40392i	0.166673	+	0.0899643i
$715$	−0.0891158	+	0.109930i	−0.00333274	+	0.00411116i
$716$	−7.63174	−	4.40619i	−0.285212	−	0.164667i
$717$	−21.0994	−	5.01050i	−0.787972	−	0.187121i
$718$	−27.6421	+	27.6421i	−1.03159	+	1.03159i
$719$	−24.4898	+	42.4176i	−0.913315	+	1.58191i	−0.103966	+	0.994581i	$0.533153\pi$
$719$	−24.4898	+	42.4176i	−0.913315	+	1.58191i	−0.809349	+	0.587328i	$0.800180\pi$
$720$	−15.4023	+	2.50910i	−0.574009	+	0.0935088i
$721$	−6.19067			−0.230552
$722$	−37.7132	+	25.2555i	−1.40354	+	0.939914i
$723$	30.2121	−	31.9947i	1.12360	−	1.18989i
$724$			17.9187i			0.665943i
$725$	12.5604	+	13.9793i	0.466480	+	0.519179i
$726$	−39.9248	−	21.5500i	−1.48175	−	0.799797i
$727$	−3.63567	+	13.5685i	−0.134839	+	0.503228i	0.865159	+	0.501498i	$0.167217\pi$
$727$	−3.63567	+	13.5685i	−0.134839	+	0.503228i	−0.999999	+	0.00173003i	$0.999449\pi$
$728$	0.175843	−	0.656255i	0.00651717	−	0.0243224i
$729$	4.61800	+	26.6021i	0.171037	+	0.985265i
$730$	27.2764	−	61.1770i	1.00955	−	2.26426i
$731$		−	17.6458i		−	0.652654i
$732$	36.9425	−	11.0421i	1.36543	−	0.408127i
$733$	−11.7692	−	3.15355i	−0.434706	−	0.116479i	0.0348285	−	0.999393i	$-0.488912\pi$
$733$	−11.7692	−	3.15355i	−0.434706	−	0.116479i	−0.469534	+	0.882914i	$0.655578\pi$
$734$	13.2910	+	23.0207i	0.490581	+	0.849711i
$735$	−15.8925	+	20.7949i	−0.586203	+	0.767031i
$736$	−9.43347	−	16.3392i	−0.347722	−	0.602273i
$737$	1.63338	+	0.437663i	0.0601664	+	0.0161215i
$738$	49.9853	+	10.3672i	1.83998	+	0.381621i
$739$	−27.4738	−	15.8620i	−1.01064	−	0.583494i	−0.0992615	−	0.995061i	$-0.531648\pi$
$739$	−27.4738	−	15.8620i	−1.01064	−	0.583494i	−0.911379	+	0.411568i	$0.864981\pi$
$740$	6.33153	−	39.8396i	0.232752	−	1.46453i
$741$	−2.54978	−	0.176243i	−0.0936686	−	0.00647445i
$742$	−1.41766	+	5.29077i	−0.0520439	+	0.194230i
$743$	14.8469	+	14.8469i	0.544679	+	0.544679i	0.924897	−	0.380218i	$-0.124151\pi$
$743$	14.8469	+	14.8469i	0.544679	+	0.544679i	−0.380218	+	0.924897i	$0.624151\pi$
$744$	14.6755	+	23.8162i	0.538030	+	0.873143i
$745$	45.2441	+	20.1726i	1.65762	+	0.739066i
$746$	−67.5100	−	38.9769i	−2.47172	−	1.42705i
$747$	16.2417	+	49.1601i	0.594252	+	1.79867i
$748$	1.21758	−	1.21758i	0.0445190	−	0.0445190i
$749$	−0.269388	+	0.466594i	−0.00984323	+	0.0170490i
$750$	−35.2032	−	30.0126i	−1.28544	−	1.09590i
$751$	−4.69959	+	8.13992i	−0.171490	+	0.297030i	−0.938941	−	0.344078i	$-0.888192\pi$
$751$	−4.69959	+	8.13992i	−0.171490	+	0.297030i	0.767451	+	0.641108i	$0.221525\pi$
$752$	15.7958	+	4.23248i	0.576014	+	0.154343i
$753$	2.00978	−	8.46328i	0.0732406	−	0.308419i
$754$		−	3.03965i		−	0.110698i
$755$	19.5034	−	14.1543i	0.709801	−	0.515129i
$756$	5.42767	+	7.77342i	0.197402	+	0.282717i
$757$	30.5379	−	8.18262i	1.10992	−	0.297402i	0.343122	−	0.939291i	$-0.388515\pi$
$757$	30.5379	−	8.18262i	1.10992	−	0.297402i	0.766798	+	0.641888i	$0.221849\pi$
$758$	23.4367	−	87.4669i	0.851259	−	3.17694i
$759$	−2.00267	+	1.23405i	−0.0726925	+	0.0447931i
$760$	28.2826	+	27.9154i	1.02592	+	1.01260i
$761$	32.4363	−	18.7271i	1.17581	−	0.678857i	0.220772	−	0.975326i	$-0.429142\pi$
$761$	32.4363	−	18.7271i	1.17581	−	0.678857i	0.955042	+	0.296469i	$0.0958091\pi$
$762$	−13.6081	−	45.5276i	−0.492971	−	1.64929i
$763$	−4.68724	−	1.25594i	−0.169690	−	0.0454682i
$764$	0.0456466	+	0.0790623i	0.00165144	+	0.00286037i
$765$	−16.5854	−	1.66933i	−0.599645	−	0.0603549i
$766$	22.9453	+	39.7424i	0.829047	+	1.43595i
$767$	0.0463178	+	0.172861i	0.00167244	+	0.00624163i
$768$	13.8064	+	46.1910i	0.498197	+	1.66677i
$769$	7.02752	+	4.05734i	0.253419	+	0.146311i	0.621329	−	0.783550i	$-0.286593\pi$
$769$	7.02752	+	4.05734i	0.253419	+	0.146311i	−0.367910	+	0.929861i	$0.619927\pi$
$770$	−0.288715	−	0.397824i	−0.0104046	−	0.0143366i
$771$	45.0516	+	24.3173i	1.62249	+	0.875766i
$772$	81.2996	−	21.7842i	2.92604	−	0.784029i
$773$	2.21854	−	8.27970i	0.0797953	−	0.297800i	−0.914482	−	0.404626i	$-0.867402\pi$
$773$	2.21854	−	8.27970i	0.0797953	−	0.297800i	0.994278	+	0.106825i	$0.0340685\pi$
$774$	22.8804	−	45.4584i	0.822419	−	1.63397i
$775$	−6.14059	+	18.8312i	−0.220577	+	0.676436i
$776$	−1.14134	+	0.658956i	−0.0409719	+	0.0236551i
$777$	−3.97567	+	1.18833i	−0.142627	+	0.0426309i
$778$	53.3608	+	14.2980i	1.91308	+	0.512608i
$779$	−12.8288	−	28.2749i	−0.459640	−	1.01306i
$780$	0.643700	+	4.81717i	0.0230482	+	0.172482i
$781$	0.420923	+	0.729060i	0.0150618	+	0.0260878i
$782$	11.1616	+	41.6555i	0.399136	+	1.48960i
$783$	14.9445	+	12.5738i	0.534074	+	0.449349i
$784$	−13.6143	−	7.86023i	−0.486225	−	0.280722i
$785$	−2.70943	−	7.06944i	−0.0967036	−	0.252319i
$786$	0.227300	+	0.368874i	0.00810751	+	0.0131573i
$787$	−5.04485	+	18.8276i	−0.179829	+	0.671132i	0.815849	+	0.578265i	$0.196270\pi$
$787$	−5.04485	+	18.8276i	−0.179829	+	0.671132i	−0.995678	+	0.0928675i	$0.970397\pi$
$788$	78.5087	−	21.0363i	2.79676	−	0.749389i
$789$	−14.6577	−	23.7872i	−0.521826	−	0.846847i
$790$	−13.6754	−	2.17337i	−0.486551	−	0.0773252i
$791$		−	1.14338i		−	0.0406538i
$792$	2.17117	−	0.717319i	0.0771491	−	0.0254888i
$793$	−0.526205	−	1.96382i	−0.0186861	−	0.0697375i
$794$	66.5131			2.36046
$795$	−2.38947	−	17.8818i	−0.0847459	−	0.634201i
$796$	−55.1752			−1.95563
$797$	−23.4496	−	6.28331i	−0.830629	−	0.222566i	−0.181641	−	0.983365i	$-0.558141\pi$
$797$	−23.4496	−	6.28331i	−0.830629	−	0.222566i	−0.648988	+	0.760799i	$0.724807\pi$
$798$	2.88359	−	8.39643i	0.102078	−	0.297230i
$799$	15.1276	+	8.73393i	0.535177	+	0.308984i
$800$	−7.08365	+	10.8827i	−0.250445	+	0.384762i
$801$	21.4790	−	14.0998i	0.758923	−	0.498191i
$802$	20.7306	−	77.3677i	0.732024	−	2.73195i
$803$	−0.606726	+	2.26433i	−0.0214109	+	0.0799066i
$804$	49.4409	−	30.4655i	1.74365	−	1.07443i
$805$	7.95290	−	0.831642i	0.280303	−	0.0293115i
$806$	2.77444	−	1.60182i	0.0977253	−	0.0564217i
$807$	−7.44615	−	24.9119i	−0.262117	−	0.876941i
$808$	30.2469	−	30.2469i	1.06408	−	1.06408i
$809$	7.88891			0.277359			0.138680	−	0.990337i	$-0.455714\pi$
$809$	7.88891			0.277359			0.138680	+	0.990337i	$0.455714\pi$
$810$	−40.5620	−	25.8058i	−1.42520	−	0.906725i
$811$	20.7583	+	35.9545i	0.728924	+	1.26253i	0.957339	+	0.288969i	$0.0933124\pi$
$811$	20.7583	+	35.9545i	0.728924	+	1.26253i	−0.228415	+	0.973564i	$0.573354\pi$
$812$	6.62426	+	1.77497i	0.232466	+	0.0622891i
$813$	−7.77531	−	26.0132i	−0.272692	−	0.912322i
$814$			2.17353i			0.0761821i
$815$	21.6905	−	8.31309i	0.759786	−	0.291195i
$816$	−0.286784	−	10.0082i	−0.0100394	−	0.350357i
$817$	−30.5375	+	5.05797i	−1.06837	+	0.176956i
$818$	24.4627	+	24.4627i	0.855317	+	0.855317i
$819$	0.417916	−	0.274339i	0.0146032	−	0.00958617i
$820$	−47.7828	+	34.6777i	−1.66865	+	1.21100i
$821$			29.8644i			1.04227i	0.853473	+	0.521137i	$0.174492\pi$
$821$			29.8644i			1.04227i	−0.853473	+	0.521137i	$0.825508\pi$
$822$	2.67259	−	11.2544i	0.0932172	−	0.392542i
$823$	7.73022	+	28.8496i	0.269459	+	1.00563i	0.959464	+	0.281830i	$0.0909413\pi$
$823$	7.73022	+	28.8496i	0.269459	+	1.00563i	−0.690006	+	0.723804i	$0.742392\pi$
$824$	25.6382	+	44.4066i	0.893148	+	1.54698i
$825$	1.38161	+	0.843972i	0.0481015	+	0.0293833i
$826$	−0.621611			−0.0216286
$827$	−44.8999	−	12.0309i	−1.56132	−	0.418355i	−0.628241	−	0.778019i	$-0.716225\pi$
$827$	−44.8999	−	12.0309i	−1.56132	−	0.418355i	−0.933082	+	0.359663i	$0.882892\pi$
$828$	−16.4063	+	79.1029i	−0.570159	+	2.74902i
$829$			24.2799i			0.843275i	0.906764	+	0.421638i	$0.138545\pi$
$829$			24.2799i			0.843275i	−0.906764	+	0.421638i	$0.861455\pi$
$830$	−84.1963	−	37.5399i	−2.92250	−	1.30303i
$831$	20.9720	−	38.8538i	0.727510	−	1.34783i
$832$	3.55006	−	0.951235i	0.123076	−	0.0329781i
$833$	−11.8739	−	11.8739i	−0.411405	−	0.411405i
$834$	−53.8536	+	1.54317i	−1.86480	+	0.0534356i
$835$	−1.08621	+	6.83471i	−0.0375898	+	0.236525i
$836$	−2.45612	−	1.75811i	−0.0849467	−	0.0608055i
$837$	−3.60126	+	20.2666i	−0.124478	+	0.700517i
$838$	1.95698	+	7.30353i	0.0676026	+	0.252296i
$839$	15.3888	+	26.6542i	0.531281	+	0.920206i	0.999333	+	0.0365050i	$0.0116225\pi$
$839$	15.3888	+	26.6542i	0.531281	+	0.920206i	−0.468052	+	0.883701i	$0.655044\pi$
$840$	−7.70819	−	0.999597i	−0.265958	−	0.0344894i
$841$	−14.8726			−0.512850
$842$	8.72417	+	32.5591i	0.300655	+	1.12206i
$843$	−20.6936	−	19.5407i	−0.712726	−	0.673018i
$844$	14.8889	+	8.59608i	0.512495	+	0.295889i
$845$	−28.6564	+	2.99662i	−0.985809	+	0.103087i
$846$	27.6463	+	42.1152i	0.950500	+	1.44795i
$847$	−3.81654	−	3.81654i	−0.131138	−	0.131138i
$848$	10.4669	−	2.80460i	0.359435	−	0.0963102i
$849$	−0.128404	−	4.48104i	−0.00440681	−	0.153789i
$850$	22.0778	−	19.8368i	0.757263	−	0.680397i
$851$	−30.6208	−	17.6789i	−1.04967	−	0.606026i
$852$	28.1291	+	6.67984i	0.963686	+	0.228847i
$853$	25.8010	+	6.91337i	0.883411	+	0.236709i	0.671878	−	0.740662i	$-0.265488\pi$
$853$	25.8010	+	6.91337i	0.883411	+	0.236709i	0.211533	+	0.977371i	$0.432155\pi$
$854$	7.06196			0.241655
$855$	1.86509	+	29.1808i	0.0637848	+	0.997964i
$856$	4.46260			0.152529
$857$	−8.77629	−	2.35160i	−0.299792	−	0.0803291i	0.105787	−	0.994389i	$-0.466264\pi$
$857$	−8.77629	−	2.35160i	−0.299792	−	0.0803291i	−0.405580	+	0.914060i	$0.632930\pi$
$858$	−0.0749914	−	0.250892i	−0.00256016	−	0.00856532i
$859$	10.5788	+	6.10766i	0.360943	+	0.208391i	0.669495	−	0.742817i	$-0.266511\pi$
$859$	10.5788	+	6.10766i	0.360943	+	0.208391i	−0.308551	+	0.951208i	$0.599844\pi$
$860$	21.0640	+	54.9601i	0.718275	+	1.87412i
$861$	5.34425	+	2.88464i	0.182132	+	0.0983083i
$862$	−22.4276	+	6.00945i	−0.763886	+	0.204683i
$863$	−33.5839	−	33.5839i	−1.14321	−	1.14321i	−0.987860	−	0.155350i	$-0.950350\pi$
$863$	−33.5839	−	33.5839i	−1.14321	−	1.14321i	−0.155350	−	0.987860i	$-0.549650\pi$
$864$	−5.71921	+	12.2226i	−0.194571	+	0.415820i
$865$	−1.40141	+	1.72873i	−0.0476493	+	0.0587785i
$866$	71.1257	+	41.0645i	2.41695	+	1.39543i
$867$	−4.33210	+	18.2427i	−0.147126	+	0.619553i
$868$	1.87072	+	6.98164i	0.0634965	+	0.236972i
$869$	0.484612			0.0164393
$870$	−34.4688	+	4.60593i	−1.16860	+	0.156156i
$871$	−1.53109	−	2.65192i	−0.0518789	−	0.0898570i
$872$	10.4028	+	38.8237i	0.352283	+	1.31474i
$873$	−0.949529	−	0.196937i	−0.0321367	−	0.00666530i
$874$	68.8889	−	31.2561i	2.33020	−	1.05725i
$875$	−2.99005	−	4.62026i	−0.101082	−	0.156193i
$876$	42.2338	+	68.5392i	1.42695	+	2.31573i
$877$	35.1366	+	35.1366i	1.18648	+	1.18648i	0.978034	+	0.208447i	$0.0668407\pi$
$877$	35.1366	+	35.1366i	1.18648	+	1.18648i	0.208447	+	0.978034i	$0.433159\pi$
$878$	−38.0362	+	10.1918i	−1.28366	+	0.343955i
$879$	−7.58681	−	12.3123i	−0.255897	−	0.415282i
$880$	−0.395998	+	0.888165i	−0.0133491	+	0.0299400i
$881$			5.32594i			0.179435i	0.995967	+	0.0897177i	$0.0285965\pi$
$881$			5.32594i			0.179435i	−0.995967	+	0.0897177i	$0.971404\pi$
$882$	−15.1927	−	45.9851i	−0.511566	−	1.54840i
$883$	18.2014	+	4.87706i	0.612527	+	0.164126i	0.551728	−	0.834024i	$-0.313969\pi$
$883$	18.2014	+	4.87706i	0.612527	+	0.164126i	0.0607988	+	0.998150i	$0.480635\pi$
$884$	−3.11815			−0.104875
$885$	1.89000	−	0.787163i	0.0635317	−	0.0264602i
$886$	−4.51025	−	7.81197i	−0.151525	−	0.262448i
$887$	−8.22966	−	30.7135i	−0.276325	−	1.03126i	−0.954948	−	0.296772i	$-0.904090\pi$
$887$	−8.22966	−	30.7135i	−0.276325	−	1.03126i	0.678623	−	0.734486i	$-0.262577\pi$
$888$	24.9890	+	23.5968i	0.838576	+	0.791856i
$889$		−	5.65297i		−	0.189595i
$890$	−7.18051	+	45.1817i	−0.240691	+	1.51449i
$891$	1.54373	+	0.669136i	0.0517167	+	0.0224169i
$892$	62.7620	+	62.7620i	2.10143	+	2.10143i
$893$	10.7786	−	28.6831i	0.360693	−	0.959843i
$894$	−78.0387	+	48.0874i	−2.61000	+	1.60828i
$895$	4.85531	+	2.16479i	0.162295	+	0.0723611i
$896$			10.2094i			0.341072i
$897$	4.14454	+	0.984209i	0.138382	+	0.0328618i
$898$	−1.61534	−	0.432828i	−0.0539045	−	0.0144437i
$899$	7.44476	+	12.8947i	0.248297	+	0.430062i
$900$	53.6499	−	14.5987i	1.78833	−	0.486625i
$901$	11.5749			0.385614
$902$	2.24940	−	2.24940i	0.0748967	−	0.0748967i
$903$	4.15670	−	4.40195i	0.138326	−	0.146488i
$904$	−8.20161	+	4.73520i	−0.272782	+	0.157490i
$905$	−1.12422	−	10.7508i	−0.0373703	−	0.357369i
$906$	1.27725	+	44.5735i	0.0424337	+	1.48085i
$907$	13.3881	−	49.9652i	0.444546	−	1.65907i	−0.272587	−	0.962131i	$-0.587879\pi$
$907$	13.3881	−	49.9652i	0.444546	−	1.65907i	0.717133	−	0.696937i	$-0.245454\pi$
$908$	−11.0355	+	41.1850i	−0.366225	+	1.36677i
$909$	31.4232	−	1.80233i	1.04224	−	0.0597796i
$910$	−0.139711	+	0.879097i	−0.00463136	+	0.0291418i
$911$	−35.7726	−	20.6533i	−1.18520	−	0.684275i	−0.227988	−	0.973664i	$-0.573215\pi$
$911$	−35.7726	−	20.6533i	−1.18520	−	0.684275i	−0.957212	+	0.289389i	$0.906548\pi$
$912$	−17.2378	+	3.36504i	−0.570801	+	0.111428i
$913$	3.11634	+	0.835021i	0.103136	+	0.0276352i
$914$	−13.7021			−0.453226
$915$	−21.4718	+	8.94276i	−0.709837	+	0.295638i
$916$	13.3568			0.441322
$917$	0.0133410	+	0.0497891i	0.000440557	+	0.00164418i
$918$	19.8580	−	23.6022i	0.655411	−	0.778989i
$919$		−	35.0560i		−	1.15639i	−0.815899	−	0.578195i	$-0.803757\pi$
$919$		−	35.0560i		−	1.15639i	0.815899	−	0.578195i	$-0.196243\pi$
$920$	−38.9018	−	53.6032i	−1.28256	−	1.76725i
$921$	16.9532	−	31.4084i	0.558626	−	1.03494i
$922$	−52.9678	+	14.1927i	−1.74440	+	0.467411i
$923$	0.394562	−	1.47253i	0.0129872	−	0.0484688i
$924$	0.590555	−	0.0169223i	0.0194278	−	0.000556702i
$925$	−1.29923	+	24.3001i	−0.0427183	+	0.798982i
$926$	−40.5244	−	23.3968i	−1.33171	−	0.768866i
$927$	−7.66227	+	36.9436i	−0.251662	+	1.21339i
$928$	2.52639	+	9.42861i	0.0829328	+	0.309509i
$929$	−28.7782	−	49.8452i	−0.944180	−	1.63537i	−0.757384	−	0.652970i	$-0.773523\pi$
$929$	−28.7782	−	49.8452i	−0.944180	−	1.63537i	−0.186797	−	0.982399i	$-0.559811\pi$
$930$	−22.3682	−	29.0341i	−0.733483	−	0.952065i
$931$	−17.1452	+	23.9522i	−0.561910	+	0.785001i
$932$	−22.1651	−	5.93912i	−0.726042	−	0.194542i
$933$	0.0301473	−	0.126952i	0.000986980	−	0.00415621i
$934$	40.1547	−	23.1833i	1.31390	−	0.758581i
$935$	−0.654126	+	0.806908i	−0.0213922	+	0.0263887i
$936$	−3.69864	−	1.86162i	−0.120894	−	0.0608490i
$937$	5.60886	−	20.9325i	0.183233	−	0.683836i	−0.811768	−	0.583979i	$-0.801495\pi$
$937$	5.60886	−	20.9325i	0.183233	−	0.683836i	0.995002	−	0.0998568i	$-0.0318385\pi$
$938$	10.2740	−	2.75292i	0.335459	−	0.0898859i
$939$	1.22750	+	42.8373i	0.0400579	+	1.39794i
$940$	−57.5427	−	9.14499i	−1.87684	−	0.298277i
$941$	−5.36018	−	3.09470i	−0.174737	−	0.100884i	0.410081	−	0.912049i	$-0.365501\pi$
$941$	−5.36018	−	3.09470i	−0.174737	−	0.100884i	−0.584817	+	0.811165i	$0.698834\pi$
$942$	13.6302	+	3.23677i	0.444095	+	0.105460i
$943$	13.3936	+	49.9856i	0.436156	+	1.62776i
$944$	0.614876	+	1.06500i	0.0200125	+	0.0346627i
$945$	−3.74418	−	4.32334i	−0.121798	−	0.140638i
$946$	−1.58567	−	2.74645i	−0.0515544	−	0.0892949i
$947$	13.1771	+	3.53080i	0.428199	+	0.114735i	0.466480	−	0.884532i	$-0.345522\pi$
$947$	13.1771	+	3.53080i	0.428199	+	0.114735i	−0.0382819	+	0.999267i	$0.512188\pi$
$948$	11.4264	−	12.1006i	0.371113	−	0.393008i
$949$	3.67632	−	2.12253i	0.119338	−	0.0689001i
$950$	−40.6576	−	32.5215i	−1.31911	−	1.05514i
$951$	−1.03922	−	36.2667i	−0.0336989	−	1.17603i
$952$	1.29072	−	4.81703i	0.0418325	−	0.156121i
$953$	−56.5092	+	15.1416i	−1.83051	+	0.490485i	−0.997982	−	0.0634934i	$-0.979776\pi$
$953$	−56.5092	+	15.1416i	−1.83051	+	0.490485i	−0.832531	+	0.553978i	$0.813109\pi$
$954$	29.8187	+	15.0085i	0.965416	+	0.485919i
$955$	−0.0323473	−	0.0445716i	−0.00104673	−	0.00144230i
$956$			46.4100i			1.50101i
$957$	1.16607	−	0.348536i	0.0376936	−	0.0112666i
$958$	−42.3724	−	11.3536i	−1.36899	−	0.366819i
$959$	0.688058	−	1.19175i	0.0222185	−	0.0384836i
$960$	−16.1661	−	38.8152i	−0.521757	−	1.25276i
$961$	7.65360	−	13.2564i	0.246890	−	0.427627i
$962$	2.78315	−	2.78315i	0.0897324	−	0.0897324i
$963$	2.45103	+	2.18512i	0.0789834	+	0.0704144i
$964$	−81.5568	−	47.0868i	−2.62677	−	1.51657i
$965$	−47.4111	+	18.1707i	−1.52622	+	0.584937i
$966$	−7.02813	+	13.0207i	−0.226126	+	0.418934i
$967$	5.48479	+	5.48479i	0.176379	+	0.176379i	0.789775	−	0.613396i	$-0.210197\pi$
$967$	5.48479	+	5.48479i	0.176379	+	0.176379i	−0.613396	+	0.789775i	$0.710197\pi$
$968$	−11.5707	+	43.1825i	−0.371897	+	1.38794i
$969$	−18.7159	−	1.29366i	−0.601240	−	0.0415582i
$970$	1.39744	−	1.01418i	0.0448692	−	0.0325633i
$971$	−4.67535	−	2.69931i	−0.150039	−	0.0866251i	0.423101	−	0.906083i	$-0.360942\pi$
$971$	−4.67535	−	2.69931i	−0.150039	−	0.0866251i	−0.573140	+	0.819457i	$0.694275\pi$
$972$	53.1067	−	22.7690i	1.70340	−	0.730316i
$973$	−6.19095	−	1.65886i	−0.198473	−	0.0531806i
$974$	−42.3148	−	73.2915i	−1.35586	−	2.34841i
$975$	−0.688435	−	2.84981i	−0.0220476	−	0.0912668i
$976$	−6.98544	−	12.0991i	−0.223599	−	0.387284i
$977$	22.4199	+	6.00738i	0.717275	+	0.192193i	0.598955	−	0.800782i	$-0.295583\pi$
$977$	22.4199	+	6.00738i	0.717275	+	0.192193i	0.118319	+	0.992976i	$0.462249\pi$
$978$	−9.93110	+	41.8202i	−0.317561	+	1.33726i
$979$		−	1.60109i		−	0.0511710i
$980$	51.1566	+	22.8087i	1.63414	+	0.728597i
$981$	−13.2965	+	26.4172i	−0.424523	+	0.843436i
$982$	10.5272	−	39.2881i	0.335937	−	1.25373i
$983$	−11.0818	+	41.3577i	−0.353453	+	1.31911i	0.528967	+	0.848643i	$0.322580\pi$
$983$	−11.0818	+	41.3577i	−0.353453	+	1.31911i	−0.882420	+	0.470463i	$0.844087\pi$
$984$	−1.44081	−	50.2816i	−0.0459315	−	1.60292i
$985$	−45.7836	+	17.5470i	−1.45879	+	0.559093i
$986$		−	22.3116i		−	0.710547i
$987$	1.71637	+	5.74229i	0.0546325	+	0.182779i
$988$	0.893784	+	5.39622i	0.0284351	+	0.171677i
$989$	51.5896			1.64045
$990$	−2.73141	+	1.23055i	−0.0868099	+	0.0391095i
$991$	−12.1496	+	21.0438i	−0.385945	+	0.668477i	−0.991900	−	0.127022i	$-0.959458\pi$
$991$	−12.1496	+	21.0438i	−0.385945	+	0.668477i	0.605954	+	0.795499i	$0.292791\pi$
$992$	−7.27459	+	7.27459i	−0.230968	+	0.230968i
$993$	−8.10578	−	27.1188i	−0.257229	−	0.860589i
$994$	4.58581	+	2.64762i	0.145453	+	0.0839774i
$995$	33.1038	−	3.46169i	1.04946	−	0.109743i
$996$	94.3287	−	58.1253i	2.98892	−	1.84177i
$997$	−19.4270	−	19.4270i	−0.615261	−	0.615261i	0.329051	−	0.944312i	$-0.393271\pi$
$997$	−19.4270	−	19.4270i	−0.615261	−	0.615261i	−0.944312	+	0.329051i	$0.893271\pi$
$998$	6.07944	−	22.6888i	0.192441	−	0.718201i
$999$	2.17073	+	25.1961i	0.0686789	+	0.797170i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	855.2.ci.a.182.13	yes	464
5.3	odd	4	inner	855.2.ci.a.353.13	yes	464
9.5	odd	6		855.2.bx.a.752.13	yes	464
19.7	even	3		855.2.bx.a.767.104	yes	464
45.23	even	12		855.2.bx.a.68.104	✓	464
95.83	odd	12		855.2.bx.a.83.13	yes	464
171.140	odd	6	inner	855.2.ci.a.482.13	yes	464
855.653	even	12	inner	855.2.ci.a.653.13	yes	464

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
855.2.bx.a.68.104	✓	464	45.23	even	12
855.2.bx.a.83.13	yes	464	95.83	odd	12
855.2.bx.a.752.13	yes	464	9.5	odd	6
855.2.bx.a.767.104	yes	464	19.7	even	3
855.2.ci.a.182.13	yes	464	1.1	even	1	trivial
855.2.ci.a.353.13	yes	464	5.3	odd	4	inner
855.2.ci.a.482.13	yes	464	171.140	odd	6	inner
855.2.ci.a.653.13	yes	464	855.653	even	12	inner

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:	\( N \)	\(=\)	\( 855 = 3^{2} \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	855.ci (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-2.30747 - 0.618286i) q^{2} +(-1.18916 + 1.25932i) q^{3} +(3.21011 + 1.85336i) q^{4} +(-2.04227 - 0.910568i) q^{5} +(3.52258 - 2.17061i) q^{6} +(0.475464 - 0.127400i) q^{7} +(-2.88296 - 2.88296i) q^{8} +(-0.171788 - 2.99508i) q^{9} +O(q^{10})\)	\(q+(-2.30747 - 0.618286i) q^{2} +(-1.18916 + 1.25932i) q^{3} +(3.21011 + 1.85336i) q^{4} +(-2.04227 - 0.910568i) q^{5} +(3.52258 - 2.17061i) q^{6} +(0.475464 - 0.127400i) q^{7} +(-2.88296 - 2.88296i) q^{8} +(-0.171788 - 2.99508i) q^{9} +(4.14949 + 3.36382i) q^{10} +(-0.161899 - 0.0934726i) q^{11} +(-6.15131 + 1.83862i) q^{12} +(0.0876187 + 0.326998i) q^{13} -1.17589 q^{14} +(3.57529 - 1.48906i) q^{15} +(1.16315 + 2.01464i) q^{16} +(0.643137 + 2.40022i) q^{17} +(-1.45542 + 7.01728i) q^{18} +(3.96943 - 1.80100i) q^{19} +(-4.86830 - 6.70808i) q^{20} +(-0.404966 + 0.750263i) q^{21} +(0.315786 + 0.315786i) q^{22} +(-7.01733 + 1.88029i) q^{23} +(7.05889 - 0.202272i) q^{24} +(3.34173 + 3.71925i) q^{25} -0.808712i q^{26} +(3.97605 + 3.34529i) q^{27} +(1.76241 + 0.472237i) q^{28} +3.75864 q^{29} +(-9.17055 + 1.22543i) q^{30} +(1.98071 + 3.43068i) q^{31} +(0.672155 + 2.50852i) q^{32} +(0.310237 - 0.0927295i) q^{33} -5.93609i q^{34} +(-1.08703 - 0.172757i) q^{35} +(4.99949 - 9.93291i) q^{36} +(3.44146 + 3.44146i) q^{37} +(-10.2729 + 1.70151i) q^{38} +(-0.515988 - 0.278513i) q^{39} +(3.26265 + 8.51292i) q^{40} -7.12317i q^{41} +(1.39833 - 1.48083i) q^{42} +(-6.85927 - 1.83794i) q^{43} +(-0.346476 - 0.600115i) q^{44} +(-2.37638 + 6.27318i) q^{45} +17.3549 q^{46} +(4.97070 - 4.97070i) q^{47} +(-3.92025 - 0.930946i) q^{48} +(-5.85234 + 3.37885i) q^{49} +(-5.41140 - 10.6482i) q^{50} +(-3.78745 - 2.04433i) q^{51} +(-0.324778 + 1.21209i) q^{52} +(1.20560 - 4.49937i) q^{53} +(-7.10629 - 10.1775i) q^{54} +(0.245529 + 0.338317i) q^{55} +(-1.73804 - 1.00346i) q^{56} +(-2.45226 + 7.14048i) q^{57} +(-8.67296 - 2.32391i) q^{58} +0.528629 q^{59} +(14.2368 + 1.84623i) q^{60} -6.00562 q^{61} +(-2.44929 - 9.14086i) q^{62} +(-0.463253 - 1.40217i) q^{63} -10.8565i q^{64} +(0.118813 - 0.747600i) q^{65} +(-0.773196 + 0.0221559i) q^{66} +(-8.73722 + 2.34113i) q^{67} +(-2.38393 + 8.89693i) q^{68} +(5.97685 - 11.0730i) q^{69} +(2.40149 + 1.07073i) q^{70} +(-3.89986 - 2.25158i) q^{71} +(-8.13943 + 9.12995i) q^{72} +(-3.24548 - 12.1123i) q^{73} +(-5.81328 - 10.0689i) q^{74} +(-8.65760 - 0.214475i) q^{75} +(16.0802 + 1.57537i) q^{76} +(-0.0888858 - 0.0238169i) q^{77} +(1.01843 + 0.961689i) q^{78} +(-2.24497 + 1.29613i) q^{79} +(-0.541003 - 5.17356i) q^{80} +(-8.94098 + 1.02904i) q^{81} +(-4.40415 + 16.4365i) q^{82} +(-16.6698 + 4.46666i) q^{83} +(-2.69049 + 1.65788i) q^{84} +(0.872106 - 5.48752i) q^{85} +(14.6912 + 8.48198i) q^{86} +(-4.46963 + 4.73334i) q^{87} +(0.197272 + 0.736227i) q^{88} +(4.28224 + 7.41705i) q^{89} +(9.36206 - 13.0059i) q^{90} +(0.0833192 + 0.144313i) q^{91} +(-26.0112 - 6.96969i) q^{92} +(-6.67572 - 1.58529i) q^{93} +(-14.5431 + 8.39644i) q^{94} +(-9.74659 + 0.0636860i) q^{95} +(-3.95834 - 2.13657i) q^{96} +(0.0836621 - 0.312231i) q^{97} +(15.5932 - 4.17819i) q^{98} +(-0.252145 + 0.500959i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 464 q - 6 q^{2} - 2 q^{3} - 4 q^{6} - 4 q^{7}+O(q^{10}) \) 464 * q - 6 * q^2 - 2 * q^3 - 4 * q^6 - 4 * q^7	\( 464 q - 6 q^{2} - 2 q^{3} - 4 q^{6} - 4 q^{7} - 4 q^{10} - 24 q^{11} + 2 q^{12} + 2 q^{13} + 10 q^{15} + 212 q^{16} + 18 q^{17} - 24 q^{18} - 12 q^{20} - 4 q^{21} - 20 q^{22} + 18 q^{23} - 4 q^{25} - 2 q^{27} - 20 q^{28} + 2 q^{30} - 8 q^{31} - 30 q^{32} + 10 q^{33} - 68 q^{36} - 16 q^{37} + 30 q^{38} - 36 q^{40} - 14 q^{42} + 2 q^{43} + 6 q^{45} - 56 q^{46} + 42 q^{48} - 108 q^{50} + 12 q^{51} - 34 q^{52} - 14 q^{55} - 24 q^{56} - 78 q^{57} - 12 q^{58} - 42 q^{60} - 8 q^{61} - 12 q^{62} + 92 q^{63} - 84 q^{65} - 52 q^{66} + 2 q^{67} - 60 q^{68} - 84 q^{70} - 118 q^{72} - 4 q^{73} + 98 q^{75} - 60 q^{76} - 12 q^{77} + 92 q^{78} + 120 q^{80} - 12 q^{81} + 4 q^{82} - 12 q^{83} + 2 q^{85} - 264 q^{86} + 102 q^{87} + 48 q^{88} - 34 q^{90} - 8 q^{91} + 54 q^{92} - 52 q^{93} - 36 q^{95} + 96 q^{96} + 2 q^{97} + 42 q^{98}+O(q^{100}) \) 464 * q - 6 * q^2 - 2 * q^3 - 4 * q^6 - 4 * q^7 - 4 * q^10 - 24 * q^11 + 2 * q^12 + 2 * q^13 + 10 * q^15 + 212 * q^16 + 18 * q^17 - 24 * q^18 - 12 * q^20 - 4 * q^21 - 20 * q^22 + 18 * q^23 - 4 * q^25 - 2 * q^27 - 20 * q^28 + 2 * q^30 - 8 * q^31 - 30 * q^32 + 10 * q^33 - 68 * q^36 - 16 * q^37 + 30 * q^38 - 36 * q^40 - 14 * q^42 + 2 * q^43 + 6 * q^45 - 56 * q^46 + 42 * q^48 - 108 * q^50 + 12 * q^51 - 34 * q^52 - 14 * q^55 - 24 * q^56 - 78 * q^57 - 12 * q^58 - 42 * q^60 - 8 * q^61 - 12 * q^62 + 92 * q^63 - 84 * q^65 - 52 * q^66 + 2 * q^67 - 60 * q^68 - 84 * q^70 - 118 * q^72 - 4 * q^73 + 98 * q^75 - 60 * q^76 - 12 * q^77 + 92 * q^78 + 120 * q^80 - 12 * q^81 + 4 * q^82 - 12 * q^83 + 2 * q^85 - 264 * q^86 + 102 * q^87 + 48 * q^88 - 34 * q^90 - 8 * q^91 + 54 * q^92 - 52 * q^93 - 36 * q^95 + 96 * q^96 + 2 * q^97 + 42 * q^98

Introduction

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