LMFDB - Embedded newform 252.2.bj.b.103.38

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(103,252)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(252, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 2, 5]))

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

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

chi := DirichletCharacter("252.103");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.bj (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.01223013094$
Analytic rank:	$0$
Dimension:	$84$
Relative dimension:	$42$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			103.38
Character	$\chi$	$=$	252.103
Dual form			252.2.bj.b.115.37

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.27891 + 0.603655i) q^{2} +(1.58892 - 0.689455i) q^{3} +(1.27120 + 1.54404i) q^{4} +(-0.0437657 + 0.0252681i) q^{5} +(2.44827 + 0.0774077i) q^{6} +(-1.31315 + 2.29687i) q^{7} +(0.693684 + 2.74204i) q^{8} +(2.04930 - 2.19097i) q^{9} +O(q^{10})$	\(q+(1.27891 + 0.603655i) q^{2} +(1.58892 - 0.689455i) q^{3} +(1.27120 + 1.54404i) q^{4} +(-0.0437657 + 0.0252681i) q^{5} +(2.44827 + 0.0774077i) q^{6} +(-1.31315 + 2.29687i) q^{7} +(0.693684 + 2.74204i) q^{8} +(2.04930 - 2.19097i) q^{9} +(-0.0712254 + 0.00589621i) q^{10} +(-4.52923 - 2.61495i) q^{11} +(3.08438 + 1.57690i) q^{12} +(-3.10396 - 1.79207i) q^{13} +(-3.06592 + 2.14480i) q^{14} +(-0.0521187 + 0.0703234i) q^{15} +(-0.768090 + 3.92556i) q^{16} +(3.76114 - 2.17150i) q^{17} +(3.94346 - 1.56498i) q^{18} +(1.88846 - 3.27091i) q^{19} +(-0.0946499 - 0.0354549i) q^{20} +(-0.502894 + 4.55490i) q^{21} +(-4.21393 - 6.07837i) q^{22} +(1.66062 - 0.958761i) q^{23} +(2.99272 + 3.87861i) q^{24} +(-2.49872 + 4.32792i) q^{25} +(-2.88788 - 4.16561i) q^{26} +(1.74559 - 4.89417i) q^{27} +(-5.21574 + 0.892240i) q^{28} +(-1.87339 - 3.24481i) q^{29} +(-0.109106 + 0.0584753i) q^{30} +0.776899 q^{31} +(-3.35200 + 4.55676i) q^{32} +(-8.99945 - 1.03224i) q^{33} +(6.12098 - 0.506709i) q^{34} +(-0.000566762 - 0.133705i) q^{35} +(5.98802 + 0.379029i) q^{36} +(-5.64349 + 9.77481i) q^{37} +(4.38966 - 3.04321i) q^{38} +(-6.16748 - 0.707409i) q^{39} +(-0.0996458 - 0.102479i) q^{40} +(5.98295 + 3.45426i) q^{41} +(-3.39274 + 5.52171i) q^{42} +(-0.0488634 + 0.0282113i) q^{43} +(-1.71999 - 10.3174i) q^{44} +(-0.0343274 + 0.147671i) q^{45} +(2.70254 - 0.223723i) q^{46} +5.34139 q^{47} +(1.48607 + 6.76695i) q^{48} +(-3.55127 - 6.03229i) q^{49} +(-5.80820 + 4.02663i) q^{50} +(4.47899 - 6.04346i) q^{51} +(-1.17874 - 7.07071i) q^{52} +(0.804472 + 1.39339i) q^{53} +(5.18684 - 5.20545i) q^{54} +0.264300 q^{55} +(-7.20904 - 2.00741i) q^{56} +(0.745459 - 6.49921i) q^{57} +(-0.437148 - 5.28069i) q^{58} -7.66801 q^{59} +(-0.174835 + 0.00892209i) q^{60} +9.67270i q^{61} +(0.993581 + 0.468979i) q^{62} +(2.34134 + 7.58407i) q^{63} +(-7.03760 + 3.80422i) q^{64} +0.181129 q^{65} +(-10.8863 - 6.75269i) q^{66} +9.49683i q^{67} +(8.13404 + 3.04692i) q^{68} +(1.97757 - 2.66832i) q^{69} +(0.0799869 - 0.171338i) q^{70} -10.8805i q^{71} +(7.42931 + 4.09944i) q^{72} +(3.81483 - 2.20250i) q^{73} +(-13.1181 + 9.09435i) q^{74} +(-0.986356 + 8.59945i) q^{75} +(7.45102 - 1.24214i) q^{76} +(11.9538 - 6.96924i) q^{77} +(-7.46060 - 4.62774i) q^{78} +3.45871i q^{79} +(-0.0655756 - 0.191213i) q^{80} +(-0.600712 - 8.97993i) q^{81} +(5.56645 + 8.02930i) q^{82} +(-5.85500 - 10.1412i) q^{83} +(-7.67220 + 5.01371i) q^{84} +(-0.109739 + 0.190074i) q^{85} +(-0.0795215 + 0.00658298i) q^{86} +(-5.21382 - 3.86411i) q^{87} +(4.02846 - 14.2333i) q^{88} +(-4.18478 - 2.41609i) q^{89} +(-0.133044 + 0.168136i) q^{90} +(8.19213 - 4.77614i) q^{91} +(3.59135 + 1.34528i) q^{92} +(1.23443 - 0.535637i) q^{93} +(6.83114 + 3.22436i) q^{94} +0.190871i q^{95} +(-2.18436 + 9.55137i) q^{96} +(1.35274 - 0.781004i) q^{97} +(-0.900319 - 9.85847i) q^{98} +(-15.0110 + 4.56458i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9}+O(q^{10}) $ 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9	$ 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9} - 18 q^{10} - 6 q^{12} + 18 q^{13} + 14 q^{14} + 14 q^{16} + 6 q^{17} - 10 q^{18} - 24 q^{20} + 4 q^{21} + 6 q^{22} - 6 q^{24} + 16 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 11 q^{30} - 18 q^{32} - 18 q^{33} - 24 q^{34} - 38 q^{36} + 2 q^{37} + 33 q^{38} + 6 q^{40} + 6 q^{41} - 38 q^{42} - 13 q^{44} - 54 q^{45} + 10 q^{46} + 9 q^{48} - 28 q^{49} - 17 q^{50} - 27 q^{52} - 2 q^{53} - 39 q^{54} + 58 q^{56} + 6 q^{57} - 13 q^{58} - 31 q^{60} - 8 q^{64} - 100 q^{65} + 30 q^{66} - 18 q^{68} - 18 q^{69} - 19 q^{70} + 26 q^{72} + 30 q^{73} - 23 q^{74} - 2 q^{77} + 15 q^{78} + 3 q^{80} - 32 q^{81} - 18 q^{82} + 23 q^{84} - 50 q^{85} - 9 q^{86} + q^{88} - 102 q^{89} - 39 q^{90} + 28 q^{92} - 36 q^{93} + 63 q^{96} + 6 q^{97} + 21 q^{98}+O(q^{100}) $ 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9 - 18 * q^10 - 6 * q^12 + 18 * q^13 + 14 * q^14 + 14 * q^16 + 6 * q^17 - 10 * q^18 - 24 * q^20 + 4 * q^21 + 6 * q^22 - 6 * q^24 + 16 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 11 * q^30 - 18 * q^32 - 18 * q^33 - 24 * q^34 - 38 * q^36 + 2 * q^37 + 33 * q^38 + 6 * q^40 + 6 * q^41 - 38 * q^42 - 13 * q^44 - 54 * q^45 + 10 * q^46 + 9 * q^48 - 28 * q^49 - 17 * q^50 - 27 * q^52 - 2 * q^53 - 39 * q^54 + 58 * q^56 + 6 * q^57 - 13 * q^58 - 31 * q^60 - 8 * q^64 - 100 * q^65 + 30 * q^66 - 18 * q^68 - 18 * q^69 - 19 * q^70 + 26 * q^72 + 30 * q^73 - 23 * q^74 - 2 * q^77 + 15 * q^78 + 3 * q^80 - 32 * q^81 - 18 * q^82 + 23 * q^84 - 50 * q^85 - 9 * q^86 + q^88 - 102 * q^89 - 39 * q^90 + 28 * q^92 - 36 * q^93 + 63 * q^96 + 6 * q^97 + 21 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/252\mathbb{Z}\right)^\times$.

$n$	$29$	$73$	$127$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{5}{6}\right)$	$-1$

Coefficient data

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

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

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

$2$	1.27891	+	0.603655i	0.904323	+	0.426848i
$2$	1.27891	+	0.603655i	0.904323	+	0.426848i
$3$	1.58892	−	0.689455i	0.917361	−	0.398057i
$3$	1.58892	−	0.689455i	0.917361	−	0.398057i
$4$	1.27120	+	1.54404i	0.635601	+	0.772018i
$5$	−0.0437657	+	0.0252681i	−0.0195726	+	0.0113002i	−0.509754	−	0.860320i	$-0.670264\pi$
$5$	−0.0437657	+	0.0252681i	−0.0195726	+	0.0113002i	0.490182	+	0.871620i	$0.336930\pi$
$6$	2.44827	+	0.0774077i	0.999501	+	0.0316015i
$7$	−1.31315	+	2.29687i	−0.496325	+	0.868137i
$7$	−1.31315	+	2.29687i	−0.496325	+	0.868137i
$8$	0.693684	+	2.74204i	0.245254	+	0.969459i
$9$	2.04930	−	2.19097i	0.683101	−	0.730324i
$10$	−0.0712254	+	0.00589621i	−0.0225235	+	0.00186454i
$11$	−4.52923	−	2.61495i	−1.36561	−	0.788438i	−0.375250	−	0.926924i	$-0.622443\pi$
$11$	−4.52923	−	2.61495i	−1.36561	−	0.788438i	−0.990364	+	0.138486i	$0.955776\pi$
$12$	3.08438	+	1.57690i	0.890383	+	0.455213i
$13$	−3.10396	−	1.79207i	−0.860883	−	0.497031i	0.00342470	−	0.999994i	$-0.498910\pi$
$13$	−3.10396	−	1.79207i	−0.860883	−	0.497031i	−0.864308	+	0.502963i	$0.832243\pi$
$14$	−3.06592	+	2.14480i	−0.819401	+	0.573221i
$15$	−0.0521187	+	0.0703234i	−0.0134570	+	0.0181574i
$16$	−0.768090	+	3.92556i	−0.192023	+	0.981391i
$17$	3.76114	−	2.17150i	0.912211	−	0.526665i	0.0310689	−	0.999517i	$-0.490109\pi$
$17$	3.76114	−	2.17150i	0.912211	−	0.526665i	0.881142	+	0.472852i	$0.156776\pi$
$18$	3.94346	−	1.56498i	0.929482	−	0.368868i
$19$	1.88846	−	3.27091i	0.433243	−	0.750398i	−0.563908	−	0.825838i	$-0.690703\pi$
$19$	1.88846	−	3.27091i	0.433243	−	0.750398i	0.997150	+	0.0754395i	$0.0240360\pi$
$20$	−0.0946499	−	0.0354549i	−0.0211644	−	0.00792795i
$21$	−0.502894	+	4.55490i	−0.109741	+	0.993960i
$22$	−4.21393	−	6.07837i	−0.898413	−	1.29591i
$23$	1.66062	−	0.958761i	0.346264	−	0.199916i	−0.316775	−	0.948501i	$-0.602600\pi$
$23$	1.66062	−	0.958761i	0.346264	−	0.199916i	0.663038	+	0.748585i	$0.269267\pi$
$24$	2.99272	+	3.87861i	0.610887	+	0.791718i
$25$	−2.49872	+	4.32792i	−0.499745	+	0.865583i
$26$	−2.88788	−	4.16561i	−0.566360	−	0.816943i
$27$	1.74559	−	4.89417i	0.335939	−	0.941884i
$28$	−5.21574	+	0.892240i	−0.985682	+	0.168618i
$29$	−1.87339	−	3.24481i	−0.347880	−	0.602546i	0.637992	−	0.770043i	$-0.279765\pi$
$29$	−1.87339	−	3.24481i	−0.347880	−	0.602546i	−0.985873	+	0.167496i	$0.946432\pi$
$30$	−0.109106	+	0.0584753i	−0.0199199	+	0.0106761i
$31$	0.776899			0.139535			0.0697676	−	0.997563i	$-0.477774\pi$
$31$	0.776899			0.139535			0.0697676	+	0.997563i	$0.477774\pi$
$32$	−3.35200	+	4.55676i	−0.592555	+	0.805530i
$33$	−8.99945	−	1.03224i	−1.56660	−	0.179689i
$34$	6.12098	−	0.506709i	1.04974	−	0.0868999i
$35$	−0.000566762	−	0.133705i	−9.58002e−5	−	0.0226003i
$36$	5.98802	+	0.379029i	0.998003	+	0.0631715i
$37$	−5.64349	+	9.77481i	−0.927784	+	1.60697i	−0.140763	+	0.990043i	$0.544956\pi$
$37$	−5.64349	+	9.77481i	−0.927784	+	1.60697i	−0.787021	+	0.616926i	$0.788378\pi$
$38$	4.38966	−	3.04321i	0.712098	−	0.493674i
$39$	−6.16748	−	0.707409i	−0.987587	−	0.113276i
$40$	−0.0996458	−	0.102479i	−0.0157554	−	0.0162034i
$41$	5.98295	+	3.45426i	0.934379	+	0.539464i	0.888194	−	0.459469i	$-0.151960\pi$
$41$	5.98295	+	3.45426i	0.934379	+	0.539464i	0.0461854	+	0.998933i	$0.485293\pi$
$42$	−3.39274	+	5.52171i	−0.523511	+	0.852019i
$43$	−0.0488634	+	0.0282113i	−0.00745159	+	0.00430218i	−0.503721	−	0.863866i	$-0.668036\pi$
$43$	−0.0488634	+	0.0282113i	−0.00745159	+	0.00430218i	0.496270	+	0.868168i	$0.334703\pi$
$44$	−1.71999	−	10.3174i	−0.259298	−	1.55541i
$45$	−0.0343274	+	0.147671i	−0.00511723	+	0.0220136i
$46$	2.70254	−	0.223723i	0.398468	−	0.0329861i
$47$	5.34139			0.779122			0.389561	−	0.921001i	$-0.372627\pi$
$47$	5.34139			0.779122			0.389561	+	0.921001i	$0.372627\pi$
$48$	1.48607	+	6.76695i	0.214496	+	0.976725i
$49$	−3.55127	−	6.03229i	−0.507324	−	0.861755i
$50$	−5.80820	+	4.02663i	−0.821403	+	0.569452i
$51$	4.47899	−	6.04346i	0.627183	−	0.846254i
$52$	−1.17874	−	7.07071i	−0.163461	−	0.980531i
$53$	0.804472	+	1.39339i	0.110503	+	0.191396i	0.915973	−	0.401240i	$-0.131421\pi$
$53$	0.804472	+	1.39339i	0.110503	+	0.191396i	−0.805470	+	0.592636i	$0.798087\pi$
$54$	5.18684	−	5.20545i	0.705839	−	0.708372i
$55$	0.264300			0.0356382
$56$	−7.20904	−	2.00741i	−0.963349	−	0.268252i
$57$	0.745459	−	6.49921i	0.0987384	−	0.860841i
$58$	−0.437148	−	5.28069i	−0.0574004	−	0.693389i
$59$	−7.66801			−0.998290			−0.499145	−	0.866518i	$-0.666353\pi$
$59$	−7.66801			−0.998290			−0.499145	+	0.866518i	$0.666353\pi$
$60$	−0.174835	+	0.00892209i	−0.0225711	+	0.00115184i
$61$			9.67270i			1.23846i	0.785209	+	0.619231i	$0.212556\pi$
$61$			9.67270i			1.23846i	−0.785209	+	0.619231i	$0.787444\pi$
$62$	0.993581	+	0.468979i	0.126185	+	0.0595603i
$63$	2.34134	+	7.58407i	0.294981	+	0.955503i
$64$	−7.03760	+	3.80422i	−0.879701	+	0.475528i
$65$	0.181129			0.0224663
$66$	−10.8863	−	6.75269i	−1.34002	−	0.831199i
$67$			9.49683i			1.16022i	0.814537	+	0.580111i	$0.196991\pi$
$67$			9.49683i			1.16022i	−0.814537	+	0.580111i	$0.803009\pi$
$68$	8.13404	+	3.04692i	0.986397	+	0.369494i
$69$	1.97757	−	2.66832i	0.238071	−	0.321227i
$70$	0.0799869	−	0.171338i	0.00956026	−	0.0204789i
$71$		−	10.8805i		−	1.29128i	−0.763643	−	0.645638i	$-0.776591\pi$
$71$		−	10.8805i		−	1.29128i	0.763643	−	0.645638i	$-0.223409\pi$
$72$	7.42931	+	4.09944i	0.875552	+	0.483123i
$73$	3.81483	−	2.20250i	0.446493	−	0.257783i	−0.259855	−	0.965648i	$-0.583675\pi$
$73$	3.81483	−	2.20250i	0.446493	−	0.257783i	0.706348	+	0.707865i	$0.250342\pi$
$74$	−13.1181	+	9.09435i	−1.52495	+	1.05720i
$75$	−0.986356	+	8.59945i	−0.113895	+	0.992979i
$76$	7.45102	−	1.24214i	0.854690	−	0.142483i
$77$	11.9538	−	6.96924i	1.36226	−	0.794219i
$78$	−7.46060	−	4.62774i	−0.844746	−	0.523988i
$79$			3.45871i			0.389136i	0.980889	+	0.194568i	$0.0623305\pi$
$79$			3.45871i			0.389136i	−0.980889	+	0.194568i	$0.937670\pi$
$80$	−0.0655756	−	0.191213i	−0.00733157	−	0.0213783i
$81$	−0.600712	−	8.97993i	−0.0667458	−	0.997770i
$82$	5.56645	+	8.02930i	0.614712	+	0.886688i
$83$	−5.85500	−	10.1412i	−0.642670	−	1.11314i	−0.984834	−	0.173497i	$-0.944493\pi$
$83$	−5.85500	−	10.1412i	−0.642670	−	1.11314i	0.342165	−	0.939640i	$-0.388840\pi$
$84$	−7.67220	+	5.01371i	−0.837106	+	0.547041i
$85$	−0.109739	+	0.190074i	−0.0119029	+	0.0206164i
$86$	−0.0795215	+	0.00658298i	−0.00857503	+	0.000709861i
$87$	−5.21382	−	3.86411i	−0.558980	−	0.414276i
$88$	4.02846	−	14.2333i	0.429435	−	1.51727i
$89$	−4.18478	−	2.41609i	−0.443586	−	0.256105i	0.261531	−	0.965195i	$-0.415773\pi$
$89$	−4.18478	−	2.41609i	−0.443586	−	0.256105i	−0.705118	+	0.709090i	$0.749106\pi$
$90$	−0.133044	+	0.168136i	−0.0140241	+	0.0177231i
$91$	8.19213	−	4.77614i	0.858769	−	0.500676i
$92$	3.59135	+	1.34528i	0.374424	+	0.140255i
$93$	1.23443	−	0.535637i	0.128004	−	0.0555430i
$94$	6.83114	+	3.22436i	0.704578	+	0.332567i
$95$			0.190871i			0.0195830i
$96$	−2.18436	+	9.55137i	−0.222940	+	0.974832i
$97$	1.35274	−	0.781004i	0.137350	−	0.0792989i	−0.429751	−	0.902948i	$-0.641399\pi$
$97$	1.35274	−	0.781004i	0.137350	−	0.0792989i	0.567100	+	0.823649i	$0.308065\pi$
$98$	−0.900319	−	9.85847i	−0.0909459	−	0.995856i
$99$	−15.0110	+	4.56458i	−1.50867	+	0.458758i
$100$	−9.85884	+	1.64354i	−0.985884	+	0.164354i
$101$	6.97868	+	4.02914i	0.694404	+	0.400915i	0.805260	−	0.592922i	$-0.202026\pi$
$101$	6.97868	+	4.02914i	0.694404	+	0.400915i	−0.110856	+	0.993837i	$0.535359\pi$
$102$	9.37636	−	5.02526i	0.928398	−	0.497575i
$103$	9.40921	+	16.2972i	0.927117	+	1.60581i	0.788121	+	0.615521i	$0.211054\pi$
$103$	9.40921	+	16.2972i	0.927117	+	1.60581i	0.138996	+	0.990293i	$0.455612\pi$
$104$	2.76077	−	9.75432i	0.270716	−	0.956490i
$105$	−0.0930842	−	0.212055i	−0.00908409	−	0.0206945i
$106$	0.187720	+	2.26763i	0.0182330	+	0.220252i
$107$	7.30001	+	4.21466i	0.705718	+	0.407447i	0.809474	−	0.587156i	$-0.199753\pi$
$107$	7.30001	+	4.21466i	0.705718	+	0.407447i	−0.103755	+	0.994603i	$0.533086\pi$
$108$	9.77577	−	3.52622i	0.940674	−	0.339311i
$109$	−4.25111	−	7.36314i	−0.407183	−	0.705261i	0.587390	−	0.809304i	$-0.300155\pi$
$109$	−4.25111	−	7.36314i	−0.407183	−	0.705261i	−0.994573	+	0.104043i	$0.966822\pi$
$110$	0.338014	+	0.159546i	0.0322284	+	0.0152121i
$111$	−2.22773	+	19.4223i	−0.211447	+	1.84348i
$112$	−8.00791	−	6.91906i	−0.756676	−	0.653790i
$113$	3.12743	−	5.41686i	0.294204	−	0.509576i	−0.680596	−	0.732659i	$-0.738279\pi$
$113$	3.12743	−	5.41686i	0.294204	−	0.509576i	0.974799	+	0.223084i	$0.0716123\pi$
$114$	4.87665	−	7.86188i	0.456740	−	0.736332i
$115$	−0.0484522	+	0.0839217i	−0.00451819	+	0.00782573i
$116$	2.62864	−	7.01740i	0.244063	−	0.651549i
$117$	−10.2873	+	3.12819i	−0.951064	+	0.289201i
$118$	−9.80667	−	4.62883i	−0.902777	−	0.426118i
$119$	0.0487065	+	11.4904i	0.00446491	+	1.05332i
$120$	−0.228984	−	0.0941295i	−0.0209033	−	0.00859281i
$121$	8.17594	+	14.1612i	0.743268	+	1.28738i
$122$	−5.83897	+	12.3705i	−0.528635	+	1.11997i
$123$	11.8880	+	1.36355i	1.07190	+	0.122947i
$124$	0.987596	+	1.19956i	0.0886887	+	0.107724i
$125$		−	0.505233i		−	0.0451894i
$126$	−1.58380	+	11.1127i	−0.141096	+	0.989996i
$127$		−	4.27467i		−	0.379316i	−0.981850	−	0.189658i	$-0.939262\pi$
$127$		−	4.27467i		−	0.379316i	0.981850	−	0.189658i	$-0.0607379\pi$
$128$	−11.2969	+	0.616964i	−0.998512	+	0.0545324i
$129$	−0.0581893	+	0.0785144i	−0.00512328	+	0.00691281i
$130$	0.231647	+	0.109339i	0.0203168	+	0.00958970i
$131$	1.77634	+	3.07672i	0.155200	+	0.268814i	0.933132	−	0.359534i	$-0.117064\pi$
$131$	1.77634	+	3.07672i	0.155200	+	0.268814i	−0.777932	+	0.628349i	$0.783731\pi$
$132$	−9.84631	−	15.2077i	−0.857012	−	1.32366i
$133$	5.03304	+	8.63276i	0.436420	+	0.748555i
$134$	−5.73281	+	12.1456i	−0.495239	+	1.04922i
$135$	0.0472695	+	0.258305i	0.00406831	+	0.0222313i
$136$	8.56338	+	8.80688i	0.734304	+	0.755184i
$137$	−8.67247	+	15.0212i	−0.740939	+	1.28334i	0.211129	+	0.977458i	$0.432286\pi$
$137$	−8.67247	+	15.0212i	−0.740939	+	1.28334i	−0.952068	+	0.305886i	$0.901047\pi$
$138$	4.13986	−	2.21876i	0.352409	−	0.188873i
$139$	6.15856	−	10.6669i	0.522362	−	0.904758i	−0.477299	−	0.878741i	$-0.658384\pi$
$139$	6.15856	−	10.6669i	0.522362	−	0.904758i	0.999661	−	0.0260171i	$-0.00828244\pi$
$140$	0.205725	−	0.170841i	0.0173869	−	0.0144387i
$141$	8.48702	−	3.68265i	0.714736	−	0.310135i
$142$	6.56806	−	13.9151i	0.551179	−	1.16773i
$143$	9.37236	+	16.2334i	0.783756	+	1.35751i
$144$	7.02674	+	9.72753i	0.585562	+	0.810628i
$145$	0.163981	+	0.0946743i	0.0136178	+	0.00786227i
$146$	6.20836	−	0.513943i	0.513808	−	0.0425342i
$147$	−9.80165	−	7.13636i	−0.808427	−	0.588597i
$148$	−22.2667	+	3.71201i	−1.83031	+	0.305126i
$149$	9.50334	+	16.4603i	0.778544	+	1.34848i	0.932781	+	0.360444i	$0.117375\pi$
$149$	9.50334	+	16.4603i	0.778544	+	1.34848i	−0.154237	+	0.988034i	$0.549292\pi$
$150$	−6.45255	+	10.4025i	−0.526849	+	0.849358i
$151$	3.14409	+	1.81524i	0.255862	+	0.147722i	0.622446	−	0.782663i	$-0.286139\pi$
$151$	3.14409	+	1.81524i	0.255862	+	0.147722i	−0.366583	+	0.930385i	$0.619473\pi$
$152$	10.2790	+	2.90926i	0.833735	+	0.235972i
$153$	2.95003	−	12.6906i	0.238496	−	1.02597i
$154$	19.4948	−	1.69706i	1.57093	−	0.136753i
$155$	−0.0340015	+	0.0196308i	−0.00273107	+	0.00157678i
$156$	−6.74785	−	10.4221i	−0.540260	−	0.834433i
$157$		−	14.3123i		−	1.14225i	−0.820864	−	0.571124i	$-0.806507\pi$
$157$		−	14.3123i		−	1.14225i	0.820864	−	0.571124i	$-0.193493\pi$
$158$	−2.08787	+	4.42337i	−0.166102	+	0.351905i
$159$	2.23892	+	1.65933i	0.177558	+	0.131593i
$160$	0.0315616	−	0.284129i	0.00249516	−	0.0224623i
$161$	0.0215049	+	5.07324i	0.00169483	+	0.399827i
$162$	4.65252	−	11.8471i	0.365537	−	0.930797i
$163$	−9.00577	−	5.19949i	−0.705387	−	0.407255i	0.103964	−	0.994581i	$-0.466847\pi$
$163$	−9.00577	−	5.19949i	−0.705387	−	0.407255i	−0.809351	+	0.587326i	$0.800181\pi$
$164$	2.27204	+	13.6289i	0.177417	+	1.06424i
$165$	0.419950	−	0.182223i	0.0326930	−	0.0141860i
$166$	−1.36624	−	16.5040i	−0.106041	−	1.28096i
$167$	−3.75211	+	6.49885i	−0.290347	+	0.502896i	−0.973892	−	0.227013i	$-0.927104\pi$
$167$	−3.75211	+	6.49885i	−0.290347	+	0.502896i	0.683545	+	0.729909i	$0.260437\pi$
$168$	−12.8386	+	1.78070i	−0.990518	+	0.137384i
$169$	−0.0769599	−	0.133299i	−0.00591999	−	0.0102537i
$170$	−0.255085	+	0.176842i	−0.0195641	+	0.0135632i
$171$	−3.29644	−	10.8407i	−0.252085	−	0.829005i
$172$	−0.105674	−	0.0395845i	−0.00805760	−	0.00301829i
$173$		−	21.7910i		−	1.65674i	−0.560184	−	0.828368i	$-0.689270\pi$
$173$		−	21.7910i		−	1.65674i	0.560184	−	0.828368i	$-0.310730\pi$
$174$	−4.33539	−	8.08918i	−0.328665	−	0.613239i
$175$	−6.65948	−	11.4225i	−0.503409	−	0.863457i
$176$	13.7440	−	15.7713i	1.03599	−	1.18880i
$177$	−12.1838	+	5.28675i	−0.915792	+	0.397376i
$178$	−3.89347	−	5.61611i	−0.291828	−	0.420945i
$179$	11.5592	−	6.67370i	0.863974	−	0.498815i	−0.00136726	−	0.999999i	$-0.500435\pi$
$179$	11.5592	−	6.67370i	0.863974	−	0.498815i	0.865341	+	0.501184i	$0.167102\pi$
$180$	−0.271647	+	0.134717i	−0.0202474	+	0.0100412i
$181$		−	12.1295i		−	0.901577i	−0.892631	−	0.450789i	$-0.851143\pi$
$181$		−	12.1295i		−	0.901577i	0.892631	−	0.450789i	$-0.148857\pi$
$182$	13.3601	−	1.16302i	0.990317	−	0.0862089i
$183$	6.66889	+	15.3691i	0.492979	+	1.13612i
$184$	3.78091	+	3.88842i	0.278733	+	0.286658i
$185$		−	0.570402i		−	0.0419368i
$186$	1.90206	+	0.0601379i	0.139465	+	0.00440953i
$187$	−22.7134			−1.66097
$188$	6.78999	+	8.24730i	0.495211	+	0.601496i
$189$	8.94907	+	10.4362i	0.650949	+	0.759121i
$190$	−0.115220	+	0.244107i	−0.00835897	+	0.0177094i
$191$			4.70132i			0.340176i	0.985429	+	0.170088i	$0.0544052\pi$
$191$			4.70132i			0.340176i	−0.985429	+	0.170088i	$0.945595\pi$
$192$	−8.55932	+	10.8967i	−0.617715	+	0.786402i
$193$	26.8781			1.93473			0.967364	−	0.253390i	$-0.0815457\pi$
$193$	26.8781			1.93473			0.967364	+	0.253390i	$0.0815457\pi$
$194$	2.20148	−	0.182244i	0.158057	−	0.0130843i
$195$	0.287799	−	0.124880i	0.0206097	−	0.00894287i
$196$	4.79969	−	13.1515i	0.342835	−	0.939396i
$197$	−10.7756			−0.767727			−0.383863	−	0.923390i	$-0.625407\pi$
$197$	−10.7756			−0.767727			−0.383863	+	0.923390i	$0.625407\pi$
$198$	−21.9532	−	3.22382i	−1.56014	−	0.229107i
$199$	−3.82846	−	6.63109i	−0.271393	−	0.470066i	0.697826	−	0.716267i	$-0.254151\pi$
$199$	−3.82846	−	6.63109i	−0.271393	−	0.470066i	−0.969219	+	0.246201i	$0.920818\pi$
$200$	−13.6007	−	3.84940i	−0.961712	−	0.272194i
$201$	6.54764	+	15.0897i	0.461835	+	1.06434i
$202$	6.49286	+	9.36561i	0.456836	+	0.658962i
$203$	9.91298	−	0.0420200i	0.695755	−	0.00294923i
$204$	15.0250	−	0.766748i	1.05196	−	0.0536831i
$205$	−0.349130			−0.0243843
$206$	2.19560	+	26.5225i	0.152975	+	1.84791i
$207$	1.30250	−	5.60317i	0.0905301	−	0.389447i
$208$	9.41901	−	10.8083i	0.653091	−	0.749421i
$209$	−17.1065	+	9.87647i	−1.18328	+	0.683170i
$210$	0.00896222	−	0.327390i	0.000618452	−	0.0225920i
$211$	4.47241	+	2.58215i	0.307894	+	0.177762i	0.645984	−	0.763351i	$-0.276447\pi$
$211$	4.47241	+	2.58215i	0.307894	+	0.177762i	−0.338090	+	0.941114i	$0.609781\pi$
$212$	−1.12879	+	3.01341i	−0.0775257	+	0.206962i
$213$	−7.50161	−	17.2882i	−0.514002	−	1.18457i
$214$	6.79182	+	9.79684i	0.464280	+	0.669698i
$215$	0.00142569	−	0.00246937i	9.72314e−5	−	0.000168410i
$216$	14.6309	+	1.39148i	0.995508	+	0.0946784i
$217$	−1.02019	+	1.78444i	−0.0692547	+	0.121136i
$218$	−0.991979	−	11.9830i	−0.0671853	−	0.811590i
$219$	4.54293	−	6.12974i	0.306983	−	0.414209i
$220$	0.335978	+	0.408088i	0.0226517	+	0.0275133i
$221$	−15.5659			−1.04708
$222$	−14.5734	+	23.4945i	−0.978104	+	1.57685i
$223$	−4.77887	−	8.27725i	−0.320017	−	0.554286i	0.660474	−	0.750849i	$-0.270355\pi$
$223$	−4.77887	−	8.27725i	−0.320017	−	0.554286i	−0.980491	+	0.196563i	$0.937022\pi$
$224$	−6.06463	−	13.6828i	−0.405210	−	0.914223i
$225$	4.36170	+	14.3438i	0.290780	+	0.956256i
$226$	7.26960	−	5.03977i	0.483567	−	0.335241i
$227$	3.18348	−	5.51395i	0.211295	−	0.365974i	−0.740825	−	0.671698i	$-0.765565\pi$
$227$	3.18348	−	5.51395i	0.211295	−	0.365974i	0.952120	+	0.305724i	$0.0988986\pi$
$228$	10.9826	−	7.11079i	0.727343	−	0.470924i
$229$	−17.0178	+	9.82524i	−1.12457	+	0.649270i	−0.942563	−	0.334028i	$-0.891592\pi$
$229$	−17.0178	+	9.82524i	−1.12457	+	0.649270i	−0.182005	+	0.983298i	$0.558259\pi$
$230$	−0.112626	+	0.0780795i	−0.00742631	+	0.00514841i
$231$	14.1886	−	19.3151i	0.933539	−	1.27084i
$232$	7.59787	−	7.38780i	0.498825	−	0.485033i
$233$	4.26861	−	7.39344i	0.279646	−	0.484360i	−0.691651	−	0.722232i	$-0.743116\pi$
$233$	4.26861	−	7.39344i	0.279646	−	0.484360i	0.971297	+	0.237871i	$0.0764497\pi$
$234$	−15.0449	−	2.20934i	−0.983514	−	0.144429i
$235$	−0.233770	+	0.134967i	−0.0152494	+	0.00880427i
$236$	−9.74759	−	11.8397i	−0.634514	−	0.770698i
$237$	2.38463	+	5.49560i	0.154898	+	0.356978i
$238$	−6.87393	+	14.7245i	−0.445570	+	0.954448i
$239$	−1.65881	−	0.957717i	−0.107300	−	0.0619496i	0.445390	−	0.895337i	$-0.353065\pi$
$239$	−1.65881	−	0.957717i	−0.107300	−	0.0619496i	−0.552690	+	0.833387i	$0.686398\pi$
$240$	−0.236027	−	0.258610i	−0.0152355	−	0.0166932i
$241$	−9.20991	−	5.31734i	−0.593263	−	0.342520i	0.173124	−	0.984900i	$-0.444614\pi$
$241$	−9.20991	−	5.31734i	−0.593263	−	0.342520i	−0.766386	+	0.642380i	$0.777947\pi$
$242$	1.90782	+	23.0462i	0.122639	+	1.48147i
$243$	−7.14574	−	13.8542i	−0.458399	−	0.888746i
$244$	−14.9350	+	12.2960i	−0.956114	+	0.787168i
$245$	0.307848	+	0.174273i	0.0196677	+	0.0111339i
$246$	14.3805	+	8.92006i	0.916865	+	0.568723i
$247$	−11.7234	+	6.76851i	−0.745943	+	0.430670i
$248$	0.538922	+	2.13029i	0.0342216	+	0.135274i
$249$	−16.2950	−	12.0767i	−1.03265	−	0.765329i
$250$	0.304986	−	0.646146i	0.0192890	−	0.0408659i
$251$	−21.4032			−1.35096			−0.675478	−	0.737380i	$-0.736063\pi$
$251$	−21.4032			−1.35096			−0.675478	+	0.737380i	$0.736063\pi$
$252$	−8.73375	+	13.2560i	−0.550175	+	0.835050i
$253$	−10.0285			−0.630484
$254$	2.58043	−	5.46691i	0.161910	−	0.343024i
$255$	−0.0433189	+	0.377672i	−0.00271273	+	0.0236507i
$256$	−14.8201	−	6.03037i	−0.926255	−	0.376898i
$257$	−14.6600	+	8.46396i	−0.914466	+	0.527967i	−0.881865	−	0.471501i	$-0.843712\pi$
$257$	−14.6600	+	8.46396i	−0.914466	+	0.527967i	−0.0326008	+	0.999468i	$0.510379\pi$
$258$	−0.121814	+	0.0652863i	−0.00758383	+	0.00406455i
$259$	−15.0408	−	25.7982i	−0.934588	−	1.60302i
$260$	0.230252	+	0.279670i	0.0142796	+	0.0173444i
$261$	−10.9484	−	2.54505i	−0.677692	−	0.157535i
$262$	0.414502	+	5.00713i	0.0256080	+	0.309342i
$263$	−3.74736	−	2.16354i	−0.231072	−	0.133410i	0.379994	−	0.924989i	$-0.375926\pi$
$263$	−3.74736	−	2.16354i	−0.231072	−	0.133410i	−0.611067	+	0.791579i	$0.709259\pi$
$264$	−3.41234	−	25.3929i	−0.210015	−	1.56283i
$265$	−0.0704165	−	0.0406550i	−0.00432565	−	0.00249742i
$266$	1.22558	+	14.0787i	0.0751449	+	0.863221i
$267$	−8.31505	−	0.953736i	−0.508873	−	0.0583677i
$268$	−14.6634	+	12.0724i	−0.895713	+	0.737439i
$269$	9.06437	−	5.23332i	0.552665	−	0.319081i	−0.197531	−	0.980297i	$-0.563292\pi$
$269$	9.06437	−	5.23332i	0.552665	−	0.319081i	0.750196	+	0.661216i	$0.229959\pi$
$270$	−0.0954735	+	0.358882i	−0.00581033	+	0.0218408i
$271$	5.69282	−	9.86025i	0.345814	−	0.598967i	−0.639687	−	0.768635i	$-0.720936\pi$
$271$	5.69282	−	9.86025i	0.345814	−	0.598967i	0.985501	+	0.169668i	$0.0542695\pi$
$272$	5.63545	+	16.4325i	0.341699	+	0.996366i
$273$	9.72367	−	13.2370i	0.588503	−	0.801139i
$274$	−20.1589	+	13.9755i	−1.21784	+	0.844290i
$275$	22.6346	−	13.0681i	1.36492	−	0.788035i
$276$	6.63386	−	0.338536i	0.399311	−	0.0203774i
$277$	8.01520	−	13.8827i	0.481587	−	0.834133i	−0.518190	−	0.855266i	$-0.673394\pi$
$277$	8.01520	−	13.8827i	0.481587	−	0.834133i	0.999777	+	0.0211330i	$0.00672733\pi$
$278$	14.3154	−	9.92437i	0.858579	−	0.595224i
$279$	1.59210	−	1.70216i	0.0953166	−	0.101906i
$280$	0.366232	−	0.0943032i	0.0218866	−	0.00563570i
$281$	1.06628	+	1.84684i	0.0636086	+	0.110173i	0.896076	−	0.443901i	$-0.146406\pi$
$281$	1.06628	+	1.84684i	0.0636086	+	0.110173i	−0.832467	+	0.554074i	$0.813072\pi$
$282$	13.0771	+	0.413465i	0.778733	+	0.0246215i
$283$	21.9736			1.30619			0.653096	−	0.757275i	$-0.273470\pi$
$283$	21.9736			1.30619			0.653096	+	0.757275i	$0.273470\pi$
$284$	16.7999	−	13.8313i	0.996889	−	0.820737i
$285$	0.131597	+	0.303279i	0.00779515	+	0.0179647i
$286$	2.18700	+	26.4187i	0.129320	+	1.56217i
$287$	−15.7905	+	9.20612i	−0.932084	+	0.543420i
$288$	3.11448	+	16.6823i	0.183522	+	0.983016i
$289$	0.930787	−	1.61217i	0.0547522	−	0.0948336i
$290$	0.152565	+	0.220067i	0.00895894	+	0.0129228i
$291$	1.61092	−	2.17360i	0.0944337	−	0.127419i
$292$	8.25016	+	3.09042i	0.482804	+	0.180853i
$293$	−22.3321	−	12.8935i	−1.30466	−	0.753244i	−0.323458	−	0.946242i	$-0.604846\pi$
$293$	−22.3321	−	12.8935i	−1.30466	−	0.753244i	−0.981199	+	0.192998i	$0.938179\pi$
$294$	−8.22750	−	15.0435i	−0.479838	−	0.877357i
$295$	0.335596	−	0.193756i	0.0195391	−	0.0112809i
$296$	−30.7178	−	8.69406i	−1.78543	−	0.505332i
$297$	−20.7042	+	17.6022i	−1.20138	+	1.02138i
$298$	2.21756	+	26.7879i	0.128460	+	1.55178i
$299$	−6.87267			−0.397457
$300$	−14.5317	+	9.40867i	−0.838989	+	0.543210i
$301$	−0.000632776	−	0.149279i	−3.64726e−5	−	0.00860428i
$302$	2.92522	+	4.21947i	0.168327	+	0.242803i
$303$	13.8664	+	1.59048i	0.796606	+	0.0913707i
$304$	11.3897	+	9.92563i	0.653241	+	0.569274i
$305$	−0.244411	−	0.423332i	−0.0139949	−	0.0242399i
$306$	11.4336	−	14.4493i	0.653613	−	0.826011i
$307$	10.6177			0.605983			0.302991	−	0.952993i	$-0.402015\pi$
$307$	10.6177			0.605983			0.302991	+	0.952993i	$0.402015\pi$
$308$	25.9564	+	9.59774i	1.47900	+	0.546882i
$309$	26.1866	+	19.4077i	1.48971	+	1.10406i
$310$	−0.0553349	+	0.00458076i	−0.00314281	+	0.000260170i
$311$	−22.6764			−1.28586			−0.642931	−	0.765924i	$-0.722282\pi$
$311$	−22.6764			−1.28586			−0.642931	+	0.765924i	$0.722282\pi$
$312$	−2.33854	−	17.4022i	−0.132394	−	0.985207i
$313$		−	26.8531i		−	1.51783i	−0.651190	−	0.758915i	$-0.725730\pi$
$313$		−	26.8531i		−	1.51783i	0.651190	−	0.758915i	$-0.274270\pi$
$314$	8.63971	−	18.3041i	0.487567	−	1.03296i
$315$	−0.294106	−	0.272761i	−0.0165710	−	0.0153683i
$316$	−5.34038	+	4.39673i	−0.300420	+	0.247335i
$317$	−0.0411070			−0.00230880			−0.00115440	−	0.999999i	$-0.500367\pi$
$317$	−0.0411070			−0.00230880			−0.00115440	+	0.999999i	$0.500367\pi$
$318$	1.86170	+	3.47365i	0.104399	+	0.194793i
$319$			19.5953i			1.09713i
$320$	0.211880	−	0.344321i	0.0118444	−	0.0192482i
$321$	14.5049	+	1.66371i	0.809585	+	0.0928593i
$322$	−3.03498	+	6.50118i	−0.169133	+	0.362297i
$323$		−	16.4031i		−	0.912695i
$324$	13.1017	−	12.3428i	0.727872	−	0.685713i
$325$	15.5119	−	8.95578i	0.860444	−	0.496777i
$326$	−8.37885	−	12.0860i	−0.464061	−	0.669383i
$327$	−11.8312	−	8.76846i	−0.654268	−	0.484897i
$328$	−5.32144	+	18.8017i	−0.293828	+	1.03815i
$329$	−7.01405	+	12.2685i	−0.386697	+	0.676385i
$330$	0.647076	+	0.0204588i	0.0356204	+	0.00112622i
$331$			13.3333i			0.732864i	0.930445	+	0.366432i	$0.119421\pi$
$331$			13.3333i			0.732864i	−0.930445	+	0.366432i	$0.880579\pi$
$332$	8.21542	−	21.9318i	0.450880	−	1.20366i
$333$	9.85111	+	32.3963i	0.539838	+	1.77531i
$334$	−8.72166	+	6.04644i	−0.477228	+	0.330847i
$335$	−0.239967	−	0.415635i	−0.0131108	−	0.0227086i
$336$	−17.4943	−	5.47272i	−0.954391	−	0.298561i
$337$	5.08171	−	8.80178i	0.276818	−	0.479463i	−0.693774	−	0.720193i	$-0.744053\pi$
$337$	5.08171	−	8.80178i	0.276818	−	0.479463i	0.970592	+	0.240729i	$0.0773866\pi$
$338$	−0.0179583	−	0.216933i	−0.000976801	−	0.0117996i
$339$	1.23453	−	10.7632i	0.0670506	−	0.584574i
$340$	−0.432982	+	0.0721811i	−0.0234817	+	0.00391457i
$341$	−3.51875	−	2.03155i	−0.190551	−	0.110015i
$342$	2.32817	−	15.8541i	0.125893	−	0.857291i
$343$	18.5188	−	0.235508i	0.999919	−	0.0127163i
$344$	−0.111252	−	0.114416i	−0.00599832	−	0.00616888i
$345$	−0.0191262	+	0.166750i	−0.00102972	+	0.00897752i
$346$	13.1542	−	27.8686i	0.707175	−	1.49823i
$347$			1.29070i			0.0692885i	0.999400	+	0.0346443i	$0.0110298\pi$
$347$			1.29070i			0.0692885i	−0.999400	+	0.0346443i	$0.988970\pi$
$348$	−0.661489	−	12.9624i	−0.0354595	−	0.694857i
$349$	−10.7860	+	6.22732i	−0.577363	+	0.333341i	−0.760085	−	0.649824i	$-0.774843\pi$
$349$	−10.7860	+	6.22732i	−0.577363	+	0.333341i	0.182722	+	0.983165i	$0.441509\pi$
$350$	−1.62163	−	18.6283i	−0.0866795	−	0.995724i
$351$	−14.1890	+	12.0631i	−0.757350	+	0.643879i
$352$	27.0977	−	11.8733i	1.44431	−	0.632850i
$353$	13.6453	+	7.87810i	0.726264	+	0.419309i	0.817054	−	0.576561i	$-0.195606\pi$
$353$	13.6453	+	7.87810i	0.726264	+	0.419309i	−0.0907898	+	0.995870i	$0.528939\pi$
$354$	−18.7733	−	0.593563i	−0.997792	−	0.0315475i
$355$	0.274930	+	0.476192i	0.0145917	+	0.0252736i
$356$	−1.58918	−	9.53279i	−0.0842266	−	0.505237i
$357$	7.99949	+	18.2236i	0.423378	+	0.964498i
$358$	18.8117	−	1.55728i	0.994230	−	0.0823047i
$359$	−2.40165	−	1.38659i	−0.126754	−	0.0731815i	0.435282	−	0.900294i	$-0.356649\pi$
$359$	−2.40165	−	1.38659i	−0.126754	−	0.0731815i	−0.562036	+	0.827113i	$0.689982\pi$
$360$	−0.428734	+	0.00831008i	−0.0225963	+	0.000437980i
$361$	2.36743	+	4.10051i	0.124602	+	0.215816i
$362$	7.32202	−	15.5125i	0.384837	−	0.815317i
$363$	22.7544	+	16.8639i	1.19429	+	0.885126i
$364$	17.7884	+	6.57750i	0.932365	+	0.344754i
$365$	−0.111306	+	0.192787i	−0.00582601	+	0.0100910i
$366$	−0.748741	+	23.6813i	−0.0391373	+	1.23784i
$367$	−13.1706	+	22.8122i	−0.687502	+	1.19079i	0.285142	+	0.958485i	$0.407959\pi$
$367$	−13.1706	+	22.8122i	−0.687502	+	1.19079i	−0.972644	+	0.232303i	$0.925374\pi$
$368$	2.48817	+	7.25529i	0.129705	+	0.378208i
$369$	19.8290	−	6.02965i	1.03226	−	0.313891i
$370$	0.344326	−	0.729490i	0.0179006	−	0.0379244i
$371$	−4.25683	+	0.0180442i	−0.221004	+	0.000936810i
$372$	2.39625	+	1.22510i	0.124240	+	0.0635182i
$373$	1.39047	+	2.40836i	0.0719956	+	0.124700i	0.899776	−	0.436352i	$-0.143730\pi$
$373$	1.39047	+	2.40836i	0.0719956	+	0.124700i	−0.827780	+	0.561053i	$0.810397\pi$
$374$	−29.0483	−	13.7111i	−1.50205	−	0.708982i
$375$	−0.348336	−	0.802773i	−0.0179880	−	0.0414550i
$376$	3.70524	+	14.6463i	0.191083	+	0.755327i
$377$			13.4290i			0.691630i
$378$	5.14516	+	18.7491i	0.264639	+	0.964348i
$379$			30.8673i			1.58555i	0.609517	+	0.792773i	$0.291363\pi$
$379$			30.8673i			1.58555i	−0.609517	+	0.792773i	$0.708637\pi$
$380$	−0.294712	+	0.242636i	−0.0151184	+	0.0124470i
$381$	−2.94720	−	6.79209i	−0.150989	−	0.347970i
$382$	−2.83798	+	6.01255i	−0.145204	+	0.307629i
$383$	4.84248	+	8.38743i	0.247439	+	0.428578i	0.962815	−	0.270163i	$-0.0870776\pi$
$383$	4.84248	+	8.38743i	0.247439	+	0.428578i	−0.715375	+	0.698740i	$0.753744\pi$
$384$	−17.5244	+	8.76899i	−0.894289	+	0.447491i
$385$	−0.347065	+	0.607063i	−0.0176881	+	0.0309388i
$386$	34.3746	+	16.2251i	1.74962	+	0.825835i
$387$	−0.0383257	+	0.164872i	−0.00194821	+	0.00838090i
$388$	2.92550	+	1.09586i	0.148520	+	0.0556339i
$389$	9.04540	−	15.6671i	0.458620	−	0.794353i	−0.540268	−	0.841493i	$-0.681677\pi$
$389$	9.04540	−	15.6671i	0.458620	−	0.794353i	0.998888	+	0.0471398i	$0.0150106\pi$
$390$	0.443452	+	0.0140208i	0.0224551	+	0.000709970i
$391$	4.16389	−	7.21207i	0.210577	−	0.364730i
$392$	14.0773	−	13.9222i	0.711013	−	0.703179i
$393$	4.94372	+	3.66394i	0.249378	+	0.184821i
$394$	−13.7809	−	6.50472i	−0.694273	−	0.327703i
$395$	−0.0873952	−	0.151373i	−0.00439733	−	0.00761640i
$396$	−26.1300	−	17.3751i	−1.31308	−	0.873131i
$397$	−12.7403	−	7.35561i	−0.639417	−	0.369168i	0.144973	−	0.989436i	$-0.453691\pi$
$397$	−12.7403	−	7.35561i	−0.639417	−	0.369168i	−0.784390	+	0.620268i	$0.787024\pi$
$398$	−0.893356	−	10.7916i	−0.0447799	−	0.540935i
$399$	13.9490	+	10.2467i	0.698322	+	0.512975i
$400$	−15.0703	−	13.1331i	−0.753513	−	0.656656i
$401$	−15.1974	−	26.3226i	−0.758920	−	1.31449i	−0.943402	−	0.331652i	$-0.892394\pi$
$401$	−15.1974	−	26.3226i	−0.758920	−	1.31449i	0.184481	−	0.982836i	$-0.440939\pi$
$402$	−0.735128	+	23.2508i	−0.0366648	+	1.15964i
$403$	−2.41146	−	1.39226i	−0.120123	−	0.0693533i
$404$	2.65017	+	15.8972i	0.131851	+	0.790914i
$405$	0.253197	+	0.377834i	0.0125814	+	0.0187747i
$406$	12.7031	+	5.93027i	0.630446	+	0.294315i
$407$	51.1213	−	29.5149i	2.53399	−	1.46300i
$408$	19.6784	+	8.08932i	0.974228	+	0.400481i
$409$			11.3740i			0.562407i	0.959648	+	0.281203i	$0.0907335\pi$
$409$			11.3740i			0.562407i	−0.959648	+	0.281203i	$0.909266\pi$
$410$	−0.446505	−	0.210754i	−0.0220513	−	0.0104084i
$411$	−3.42341	+	29.8466i	−0.168864	+	1.47223i
$412$	−13.2025	+	35.2452i	−0.650440	+	1.73641i
$413$	10.0693	−	17.6125i	0.495476	−	0.866653i
$414$	5.04816	−	6.37967i	0.248103	−	0.313544i
$415$	0.512496	+	0.295890i	0.0251574	+	0.0145247i
$416$	18.5705	−	8.13699i	0.910494	−	0.398949i
$417$	2.43105	−	21.1949i	0.119049	−	1.03792i
$418$	−27.8396	+	2.30463i	−1.36168	+	0.112723i
$419$	−14.8727	+	25.7603i	−0.726580	+	1.25847i	0.231740	+	0.972778i	$0.425558\pi$
$419$	−14.8727	+	25.7603i	−0.726580	+	1.25847i	−0.958320	+	0.285696i	$0.907775\pi$
$420$	0.209092	−	0.413291i	0.0102027	−	0.0201665i
$421$	2.71908	+	4.70958i	0.132520	+	0.229531i	0.924647	−	0.380825i	$-0.124360\pi$
$421$	2.71908	+	4.70958i	0.132520	+	0.229531i	−0.792127	+	0.610356i	$0.791027\pi$
$422$	4.16107	+	6.00212i	0.202558	+	0.292179i
$423$	10.9461	−	11.7028i	0.532219	−	0.569011i
$424$	−3.26268	+	3.17247i	−0.158450	+	0.154069i
$425$			21.7039i			1.05279i
$426$	0.842233	−	26.6383i	0.0408063	−	1.29063i
$427$	−22.2170	−	12.7017i	−1.07515	−	0.614679i
$428$	2.77220	+	16.6292i	0.133999	+	0.803800i
$429$	26.0841	+	19.3317i	1.25935	+	0.933342i
$430$	0.00331397	−	0.00229747i	0.000159814	−	0.000110794i
$431$	−13.3267	+	7.69416i	−0.641924	+	0.370615i	−0.785355	−	0.619046i	$-0.787520\pi$
$431$	−13.3267	+	7.69416i	−0.641924	+	0.370615i	0.143432	+	0.989660i	$0.454186\pi$
$432$	17.8716	+	10.6116i	0.859848	+	0.510551i
$433$			20.3869i			0.979730i	0.871798	+	0.489865i	$0.162954\pi$
$433$			20.3869i			0.979730i	−0.871798	+	0.489865i	$0.837046\pi$
$434$	−2.38191	+	1.66629i	−0.114335	+	0.0799845i
$435$	0.325825	+	0.0373721i	0.0156221	+	0.00179185i
$436$	5.96493	−	15.9239i	0.285668	−	0.762617i
$437$		−	7.24233i		−	0.346448i
$438$	9.51022	−	5.09700i	0.454416	−	0.243544i
$439$	4.39249			0.209642			0.104821	−	0.994491i	$-0.466573\pi$
$439$	4.39249			0.209642			0.104821	+	0.994491i	$0.466573\pi$
$440$	0.183341	+	0.724721i	0.00874042	+	0.0345497i
$441$	−20.4942	−	4.58126i	−0.975914	−	0.218155i
$442$	−19.9073	−	9.39643i	−0.946895	−	0.446943i
$443$			37.3749i			1.77574i	0.460099	+	0.887868i	$0.347814\pi$
$443$			37.3749i			1.77574i	−0.460099	+	0.887868i	$0.652186\pi$
$444$	−32.8206	+	21.2499i	−1.55760	+	1.00848i
$445$	0.244200			0.0115762
$446$	−1.11513	−	13.4706i	−0.0528029	−	0.637852i
$447$	26.4486	+	19.6018i	1.25098	+	0.927136i
$448$	0.503613	−	21.1600i	0.0237935	−	0.999717i
$449$	−17.3678			−0.819635			−0.409818	−	0.912167i	$-0.634408\pi$
$449$	−17.3678			−0.819635			−0.409818	+	0.912167i	$0.634408\pi$
$450$	−3.08052	+	20.9774i	−0.145217	+	0.988884i
$451$	−18.0654	−	31.2902i	−0.850668	−	1.47340i
$452$	12.3394	−	2.05707i	0.580397	−	0.0967564i
$453$	6.24722	+	0.716555i	0.293520	+	0.0336667i
$454$	7.39990	−	5.13010i	0.347294	−	0.240768i
$455$	−0.237850	+	0.416031i	−0.0111506	+	0.0195038i
$456$	18.3382	−	2.46432i	0.858766	−	0.115402i
$457$	29.4294			1.37665			0.688324	−	0.725404i	$-0.258347\pi$
$457$	29.4294			1.37665			0.688324	+	0.725404i	$0.258347\pi$
$458$	−27.6952	+	2.29268i	−1.29411	+	0.107130i
$459$	−4.06225	−	22.1982i	−0.189610	−	1.03612i
$460$	−0.191171	+	0.0318695i	−0.00891337	+	0.00148592i
$461$	29.5025	−	17.0333i	1.37407	−	0.793319i	0.382632	−	0.923901i	$-0.375018\pi$
$461$	29.5025	−	17.0333i	1.37407	−	0.793319i	0.991438	+	0.130582i	$0.0416845\pi$
$462$	29.8055	−	16.1373i	1.38668	−	0.750773i
$463$	20.8208	+	12.0209i	0.967625	+	0.558658i	0.898511	−	0.438950i	$-0.144650\pi$
$463$	20.8208	+	12.0209i	0.967625	+	0.558658i	0.0691135	+	0.997609i	$0.477983\pi$
$464$	14.1766	−	4.86181i	0.658134	−	0.225704i
$465$	−0.0404910	+	0.0546341i	−0.00187772	+	0.00253360i
$466$	9.92223	−	6.87876i	0.459639	−	0.318652i
$467$	11.6414	−	20.1634i	0.538698	−	0.933052i	−0.460277	−	0.887775i	$-0.652250\pi$
$467$	11.6414	−	20.1634i	0.538698	−	0.933052i	0.998975	−	0.0452762i	$-0.0144168\pi$
$468$	−17.9073	−	11.9074i	−0.827766	−	0.550422i
$469$	−21.8130	−	12.4708i	−1.00723	−	0.575847i
$470$	−0.380443	+	0.0314939i	−0.0175485	+	0.00145271i
$471$	−9.86771	−	22.7411i	−0.454680	−	1.04785i
$472$	−5.31918	−	21.0260i	−0.244835	−	0.967801i
$473$	0.295084			0.0135680
$474$	−0.267731	+	8.46785i	−0.0122973	+	0.388941i
$475$	9.43748	+	16.3462i	0.433021	+	0.750015i
$476$	−17.6796	+	14.6818i	−0.810344	+	0.672939i
$477$	4.70148	+	1.09290i	0.215266	+	0.0500403i
$478$	−1.54334	−	2.22618i	−0.0705906	−	0.101823i
$479$	−10.4870	+	18.1641i	−0.479164	+	0.829937i	−0.999714	−	0.0238941i	$-0.992394\pi$
$479$	−10.4870	+	18.1641i	−0.479164	+	0.829937i	0.520550	+	0.853831i	$0.325727\pi$
$480$	−0.145745	−	0.473217i	−0.00665233	−	0.0215993i
$481$	35.0343	−	20.2271i	1.59743	−	0.922275i
$482$	−8.56877	−	12.3600i	−0.390297	−	0.562982i
$483$	3.53194	+	8.04612i	0.160709	+	0.366111i
$484$	−11.4720	+	30.6256i	−0.521456	+	1.39207i
$485$	−0.0394690	+	0.0683623i	−0.00179219	+	0.00310417i
$486$	−0.775587	−	22.0318i	−0.0351814	−	0.999381i
$487$	−17.7169	+	10.2289i	−0.802830	+	0.463514i	−0.844460	−	0.535619i	$-0.820078\pi$
$487$	−17.7169	+	10.2289i	−0.802830	+	0.463514i	0.0416298	+	0.999133i	$0.486745\pi$
$488$	−26.5230	+	6.70980i	−1.20064	+	0.303738i
$489$	−17.8942	−	2.05247i	−0.809205	−	0.0928157i
$490$	0.288508	+	0.408713i	0.0130335	+	0.0184638i
$491$	−14.6614	−	8.46477i	−0.661660	−	0.382010i	0.131249	−	0.991349i	$-0.458101\pi$
$491$	−14.6614	−	8.46477i	−0.661660	−	0.382010i	−0.792909	+	0.609340i	$0.791435\pi$
$492$	13.0066	+	20.0888i	0.586384	+	0.905671i
$493$	−14.0922	−	8.13613i	−0.634680	−	0.366433i
$494$	−19.0790	+	1.57940i	−0.858404	+	0.0710607i
$495$	0.541630	−	0.579073i	0.0243445	−	0.0260274i
$496$	−0.596728	+	3.04976i	−0.0267939	+	0.136938i
$497$	24.9911	+	14.2877i	1.12101	+	0.640892i
$498$	−13.5496	−	25.2815i	−0.607172	−	1.13289i
$499$	−25.2376	+	14.5709i	−1.12979	+	0.652285i	−0.943882	−	0.330282i	$-0.892856\pi$
$499$	−25.2376	+	14.5709i	−1.12979	+	0.652285i	−0.185909	+	0.982567i	$0.559523\pi$
$500$	0.780098	−	0.642254i	0.0348871	−	0.0287225i
$501$	−1.48112	+	12.9130i	−0.0661717	+	0.576912i
$502$	−27.3726	−	12.9201i	−1.22170	−	0.576653i
$503$	−18.6831			−0.833038			−0.416519	−	0.909127i	$-0.636750\pi$
$503$	−18.6831			−0.833038			−0.416519	+	0.909127i	$0.636750\pi$
$504$	−19.1717	+	11.6810i	−0.853975	+	0.520314i
$505$	−0.407235			−0.0181217
$506$	−12.8255	−	6.05372i	−0.570161	−	0.269121i
$507$	−0.214186	−	0.158740i	−0.00951234	−	0.00704987i
$508$	6.60025	−	5.43397i	0.292839	−	0.241094i
$509$	−3.01491	+	1.74066i	−0.133634	+	0.0771534i	−0.565326	−	0.824867i	$-0.691250\pi$
$509$	−3.01491	+	1.74066i	−0.133634	+	0.0771534i	0.431693	+	0.902021i	$0.357916\pi$
$510$	−0.283384	+	0.456857i	−0.0125485	+	0.0202300i
$511$	0.0494018	+	11.6544i	0.00218541	+	0.515561i
$512$	−15.3132	−	16.6585i	−0.676755	−	0.736208i
$513$	−12.7119	−	14.9521i	−0.561245	−	0.660153i
$514$	−23.8581	+	1.97503i	−1.05234	+	0.0871148i
$515$	−0.823601	−	0.475506i	−0.0362922	−	0.0209533i
$516$	−0.195199	+	0.00996131i	−0.00859318	+	0.000438522i
$517$	−24.1924	−	13.9675i	−1.06398	−	0.614289i
$518$	−3.66252	−	42.0729i	−0.160922	−	1.84858i
$519$	−15.0239	−	34.6240i	−0.659476	−	1.51982i
$520$	0.125646	+	0.496664i	0.00550996	+	0.0217802i
$521$	−20.4849	+	11.8270i	−0.897461	+	0.518150i	−0.876376	−	0.481628i	$-0.840046\pi$
$521$	−20.4849	+	11.8270i	−0.897461	+	0.518150i	−0.0210857	+	0.999778i	$0.506712\pi$
$522$	−12.4657	−	9.86396i	−0.545609	−	0.431734i
$523$	0.951103	−	1.64736i	0.0415888	−	0.0720340i	−0.844482	−	0.535584i	$-0.820091\pi$
$523$	0.951103	−	1.64736i	0.0415888	−	0.0720340i	0.886071	+	0.463550i	$0.153425\pi$
$524$	−2.49247	+	6.65387i	−0.108884	+	0.290676i
$525$	−18.4566	−	13.5579i	−0.805513	−	0.591716i
$526$	−3.48650	−	5.02908i	−0.152018	−	0.219278i
$527$	2.92203	−	1.68703i	0.127285	−	0.0734883i
$528$	10.9645	−	34.5351i	0.477169	−	1.50295i
$529$	−9.66155	+	16.7343i	−0.420068	+	0.727578i
$530$	−0.0655146	−	0.0945012i	−0.00284577	−	0.00410487i
$531$	−15.7141	+	16.8004i	−0.681933	+	0.729075i
$532$	−6.93128	+	18.7452i	−0.300509	+	0.812706i
$533$	−12.3805	−	21.4437i	−0.536261	−	0.928831i
$534$	−10.0584	−	6.23916i	−0.435271	−	0.269995i
$535$	−0.425986			−0.0184170
$536$	−26.0407	+	6.58780i	−1.12479	+	0.284550i
$537$	13.7653	−	18.5735i	0.594018	−	0.801505i
$538$	14.7516	−	1.22117i	0.635987	−	0.0526485i
$539$	0.310360	+	36.6080i	0.0133682	+	1.57682i
$540$	−0.338742	+	0.401343i	−0.0145771	+	0.0172711i
$541$	−6.11980	+	10.5998i	−0.263111	+	0.455721i	−0.967067	−	0.254522i	$-0.918082\pi$
$541$	−6.11980	+	10.5998i	−0.263111	+	0.455721i	0.703956	+	0.710243i	$0.251415\pi$
$542$	13.2328	−	9.17384i	0.568396	−	0.394050i
$543$	−8.36273	−	19.2727i	−0.358879	−	0.827071i
$544$	−2.71235	+	24.4175i	−0.116291	+	1.04689i
$545$	0.372106	+	0.214835i	0.0159393	+	0.00920253i
$546$	20.4262	−	11.0591i	0.874162	−	0.473287i
$547$	29.8662	−	17.2432i	1.27698	−	0.737267i	0.300692	−	0.953721i	$-0.402782\pi$
$547$	29.8662	−	17.2432i	1.27698	−	0.737267i	0.976293	+	0.216454i	$0.0694492\pi$
$548$	−34.2177	+	5.70433i	−1.46171	+	0.243677i
$549$	21.1926	+	19.8223i	0.904478	+	0.845995i
$550$	36.8361	−	3.04938i	1.57070	−	0.130026i
$551$	−14.1513			−0.602867
$552$	8.68844	+	3.57161i	0.369805	+	0.152018i
$553$	−7.94423	−	4.54182i	−0.337823	−	0.193138i
$554$	18.6311	−	12.9163i	0.791558	−	0.548761i
$555$	−0.393266	−	0.906320i	−0.0166932	−	0.0384711i
$556$	24.2989	−	4.05080i	1.03050	−	0.171792i
$557$	−7.66305	−	13.2728i	−0.324694	−	0.562387i	0.656756	−	0.754103i	$-0.271928\pi$
$557$	−7.66305	−	13.2728i	−0.324694	−	0.562387i	−0.981450	+	0.191716i	$0.938595\pi$
$558$	3.06367	−	1.21583i	0.129695	−	0.0514701i
$559$	0.202226			0.00855327
$560$	0.525303	+	0.100473i	0.0221981	+	0.00424575i
$561$	−36.0897	+	15.6599i	−1.52371	+	0.661161i
$562$	0.248811	+	3.00560i	0.0104954	+	0.126784i
$563$	36.6614			1.54509			0.772546	−	0.634959i	$-0.218983\pi$
$563$	36.6614			1.54509			0.772546	+	0.634959i	$0.218983\pi$
$564$	16.4749	+	8.42286i	0.693717	+	0.354667i
$565$			0.316097i			0.0132983i
$566$	28.1021	+	13.2644i	1.18122	+	0.557546i
$567$	21.4146	+	10.4122i	0.899329	+	0.437273i
$568$	29.8348	−	7.54763i	1.25184	−	0.316691i
$569$	−44.9782			−1.88559			−0.942793	−	0.333379i	$-0.891811\pi$
$569$	−44.9782			−1.88559			−0.942793	+	0.333379i	$0.891811\pi$
$570$	−0.0147749	+	0.467304i	−0.000618853	+	0.0195732i
$571$			2.85256i			0.119376i	0.998217	+	0.0596880i	$0.0190106\pi$
$571$			2.85256i			0.119376i	−0.998217	+	0.0596880i	$0.980989\pi$
$572$	−13.1508	+	35.1072i	−0.549862	+	1.46791i
$573$	3.24135	+	7.47001i	0.135409	+	0.312064i
$574$	−25.7519	+	2.24175i	−1.07486	+	0.0935688i
$575$			9.58271i			0.399627i
$576$	−6.08724	+	23.2152i	−0.253635	+	0.967300i
$577$	−0.0641540	+	0.0370393i	−0.00267076	+	0.00154197i	−0.501335	−	0.865253i	$-0.667157\pi$
$577$	−0.0641540	+	0.0370393i	−0.00267076	+	0.00154197i	0.498664	+	0.866795i	$0.333824\pi$
$578$	2.16358	−	1.49994i	0.0899932	−	0.0623893i
$579$	42.7070	−	18.5312i	1.77484	−	0.770132i
$580$	0.0622721	+	0.373542i	0.00258571	+	0.0155105i
$581$	30.9815	−	0.131327i	1.28533	−	0.00544837i
$582$	3.37232	−	1.80739i	0.139787	−	0.0749188i
$583$		−	8.41462i		−	0.348498i
$584$	8.68563	+	8.93260i	0.359414	+	0.369634i
$585$	0.371189	−	0.396849i	0.0153468	−	0.0164077i
$586$	−20.7775	−	29.9704i	−0.858311	−	1.23807i
$587$	0.649362	+	1.12473i	0.0268020	+	0.0464225i	0.879115	−	0.476609i	$-0.158134\pi$
$587$	0.649362	+	1.12473i	0.0268020	+	0.0464225i	−0.852313	+	0.523032i	$0.824801\pi$
$588$	−1.44110	−	24.2059i	−0.0594299	−	0.998232i
$589$	1.46714	−	2.54117i	0.0604526	−	0.104707i
$590$	0.546157	−	0.0452122i	0.0224849	−	0.00186136i
$591$	−17.1215	+	7.42927i	−0.704282	+	0.305599i
$592$	−34.0369	−	29.6618i	−1.39891	−	1.21909i
$593$	38.8634	+	22.4378i	1.59593	+	0.921410i	0.992261	+	0.124173i	$0.0396279\pi$
$593$	38.8634	+	22.4378i	1.59593	+	0.921410i	0.603668	+	0.797236i	$0.293705\pi$
$594$	−37.1044	+	10.0133i	−1.52241	+	0.410852i
$595$	−0.292472	−	0.501653i	−0.0119902	−	0.0205658i
$596$	−13.3346	+	35.5978i	−0.546205	+	1.45814i
$597$	−10.6549	−	7.89669i	−0.436078	−	0.323190i
$598$	−8.78951	−	4.14872i	−0.359430	−	0.169654i
$599$		−	28.3349i		−	1.15773i	−0.815422	−	0.578867i	$-0.803495\pi$
$599$		−	28.3349i		−	1.15773i	0.815422	−	0.578867i	$-0.196505\pi$
$600$	−24.2643	+	3.26067i	−0.990585	+	0.133116i
$601$	22.6738	−	13.0907i	0.924883	−	0.533982i	0.0396936	−	0.999212i	$-0.487362\pi$
$601$	22.6738	−	13.0907i	0.924883	−	0.533982i	0.885190	+	0.465230i	$0.154028\pi$
$602$	0.0893035	−	0.191295i	0.00363974	−	0.00779662i
$603$	20.8073	+	19.4619i	0.847338	+	0.792550i
$604$	1.19398	+	7.16212i	0.0485822	+	0.291423i
$605$	−0.715651	−	0.413181i	−0.0290954	−	0.0167982i
$606$	16.7738	+	10.4046i	0.681388	+	0.422659i
$607$	−11.7095	−	20.2814i	−0.475272	−	0.823196i	0.524327	−	0.851517i	$-0.324317\pi$
$607$	−11.7095	−	20.2814i	−0.475272	−	0.823196i	−0.999599	+	0.0283216i	$0.990984\pi$
$608$	8.57465	+	19.5694i	0.347748	+	0.793642i
$609$	15.7219	−	6.90132i	0.637084	−	0.279656i
$610$	−0.0570322	−	0.688942i	−0.00230917	−	0.0278944i
$611$	−16.5795	−	9.57215i	−0.670733	−	0.387248i
$612$	23.3448	−	11.5774i	0.943659	−	0.467987i
$613$	1.38801	+	2.40411i	0.0560614	+	0.0971012i	0.892694	−	0.450663i	$-0.148812\pi$
$613$	1.38801	+	2.40411i	0.0560614	+	0.0971012i	−0.836633	+	0.547764i	$0.815479\pi$
$614$	13.5790	+	6.40941i	0.548004	+	0.258663i
$615$	−0.554738	+	0.240710i	−0.0223692	+	0.00970635i
$616$	27.4021	+	27.9433i	1.10406	+	1.12587i
$617$	−10.6381	+	18.4257i	−0.428273	+	0.741791i	−0.996720	−	0.0809290i	$-0.974211\pi$
$617$	−10.6381	+	18.4257i	−0.428273	+	0.741791i	0.568447	+	0.822720i	$0.307545\pi$
$618$	21.7747	+	40.6283i	0.875908	+	1.63431i
$619$	−5.92223	+	10.2576i	−0.238034	+	0.412288i	−0.960150	−	0.279485i	$-0.909836\pi$
$619$	−5.92223	+	10.2576i	−0.238034	+	0.412288i	0.722116	+	0.691772i	$0.243170\pi$
$620$	−0.0735334	−	0.0275448i	−0.00295317	−	0.00110623i
$621$	−1.79357	−	9.80098i	−0.0719735	−	0.393300i
$622$	−29.0010	−	13.6887i	−1.16283	−	0.548868i
$623$	11.0447	−	6.43924i	0.442497	−	0.257983i
$624$	7.51416	−	23.6675i	0.300807	−	0.947457i
$625$	−12.4808	−	21.6175i	−0.499234	−	0.864699i
$626$	16.2100	−	34.3427i	0.647883	−	1.37261i
$627$	−20.3715	+	27.4871i	−0.813558	+	1.09773i
$628$	22.0987	−	18.1939i	0.881836	−	0.726014i
$629$			49.0193i			1.95453i
$630$	−0.211480	−	0.526373i	−0.00842558	−	0.0209712i
$631$		−	11.3000i		−	0.449846i	−0.974377	−	0.224923i	$-0.927787\pi$
$631$		−	11.3000i		−	0.449846i	0.974377	−	0.224923i	$-0.0722130\pi$
$632$	−9.48395	+	2.39926i	−0.377251	+	0.0954373i
$633$	8.88656	+	1.01929i	0.353209	+	0.0405131i
$634$	−0.0525719	−	0.0248144i	−0.00208790	−	0.000985506i
$635$	0.108013	+	0.187084i	0.00428636	+	0.00742420i
$636$	0.284057	+	5.56630i	0.0112636	+	0.220718i
$637$	0.212695	+	25.0881i	0.00842730	+	0.994027i
$638$	−11.8288	+	25.0606i	−0.468307	+	0.992158i
$639$	−23.8388	−	22.2974i	−0.943050	−	0.882073i
$640$	0.478826	−	0.312453i	0.0189272	−	0.0123508i
$641$	6.46609	−	11.1996i	0.255395	−	0.442358i	−0.709607	−	0.704597i	$-0.751128\pi$
$641$	6.46609	−	11.1996i	0.255395	−	0.442358i	0.965003	+	0.262239i	$0.0844610\pi$
$642$	17.5461	+	10.8837i	0.692490	+	0.429545i
$643$	19.6606	−	34.0532i	0.775340	−	1.34293i	−0.159264	−	0.987236i	$-0.550912\pi$
$643$	19.6606	−	34.0532i	0.775340	−	1.34293i	0.934603	−	0.355692i	$-0.115755\pi$
$644$	−7.80593	+	6.48232i	−0.307597	+	0.255439i
$645$	0.000562783	−	0.00490657i	2.21596e−5	−	0.000193196i
$646$	9.90183	−	20.9781i	0.389582	−	0.825371i
$647$	8.36492	+	14.4885i	0.328859	+	0.569600i	0.982286	−	0.187389i	$-0.0600026\pi$
$647$	8.36492	+	14.4885i	0.328859	+	0.569600i	−0.653427	+	0.756990i	$0.726669\pi$
$648$	24.2067	−	7.87641i	0.950927	−	0.309415i
$649$	34.7302	+	20.0515i	1.36328	+	0.787089i
$650$	25.2444	−	2.08979i	0.990168	−	0.0819684i
$651$	−0.390698	+	3.53870i	−0.0153127	+	0.138692i
$652$	−3.41997	−	20.5148i	−0.133936	−	0.803423i
$653$	3.54087	+	6.13297i	0.138565	+	0.240002i	0.926954	−	0.375176i	$-0.122418\pi$
$653$	3.54087	+	6.13297i	0.138565	+	0.240002i	−0.788389	+	0.615178i	$0.789084\pi$
$654$	−9.83789	−	18.3560i	−0.384692	−	0.717777i
$655$	−0.155486	−	0.0897698i	−0.00607534	−	0.00350760i
$656$	−18.1553	+	20.8332i	−0.708847	+	0.813402i
$657$	2.99215	−	12.8718i	0.116735	−	0.502176i
$658$	−16.3763	+	11.4562i	−0.638413	+	0.446609i
$659$	−15.3552	+	8.86531i	−0.598153	+	0.345344i	−0.768314	−	0.640073i	$-0.778904\pi$
$659$	−15.3552	+	8.86531i	−0.598153	+	0.345344i	0.170162	+	0.985416i	$0.445571\pi$
$660$	0.815199	+	0.416775i	0.0317316	+	0.0162230i
$661$			44.6475i			1.73659i	0.496052	+	0.868293i	$0.334783\pi$
$661$			44.6475i			1.73659i	−0.496052	+	0.868293i	$0.665217\pi$
$662$	−8.04870	+	17.0520i	−0.312822	+	0.662746i
$663$	−24.7329	+	10.7320i	−0.960546	+	0.416796i
$664$	23.7460	−	23.0894i	0.921523	−	0.896044i
$665$	−0.438408	−	0.250643i	−0.0170007	−	0.00971952i
$666$	−6.95752	+	47.3785i	−0.269598	+	1.83588i
$667$	−6.22200	−	3.59227i	−0.240917	−	0.139093i
$668$	−14.8042	+	2.46796i	−0.572790	+	0.0954882i
$669$	−13.3000	−	9.85703i	−0.514208	−	0.381095i
$670$	−0.0559953	−	0.676416i	−0.00216329	−	0.0261322i
$671$	25.2936	−	43.8099i	0.976450	−	1.69126i
$672$	−19.0699	−	17.5596i	−0.735637	−	0.677376i
$673$	7.93768	+	13.7485i	0.305975	+	0.529964i	0.977478	−	0.211038i	$-0.0676842\pi$
$673$	7.93768	+	13.7485i	0.305975	+	0.529964i	−0.671503	+	0.741002i	$0.734351\pi$
$674$	11.8123	−	8.18905i	0.454991	−	0.315430i
$675$	16.8198	+	19.7840i	0.647395	+	0.761485i
$676$	0.107986	−	0.288278i	0.00415331	−	0.0110876i
$677$		−	11.1170i		−	0.427263i	−0.976914	−	0.213631i	$-0.931471\pi$
$677$		−	11.1170i		−	0.427263i	0.976914	−	0.213631i	$-0.0685291\pi$
$678$	8.07608	−	13.0198i	0.310160	−	0.500024i
$679$	0.0175178	+	4.13265i	0.000672273	+	0.158596i
$680$	−0.597315	−	0.169058i	−0.0229060	−	0.00648310i
$681$	1.25666	−	10.9561i	0.0481553	−	0.419837i
$682$	−3.27380	−	4.72228i	−0.125360	−	0.180825i
$683$	26.9135	−	15.5385i	1.02982	−	0.594565i	0.112884	−	0.993608i	$-0.463991\pi$
$683$	26.9135	−	15.5385i	1.02982	−	0.594565i	0.916932	+	0.399043i	$0.130658\pi$
$684$	12.5479	−	18.8705i	0.479781	−	0.721531i
$685$		−	0.876548i		−	0.0334912i
$686$	23.8259	+	10.8777i	0.909678	+	0.415314i
$687$	−20.2658	+	27.3445i	−0.773188	+	1.04326i
$688$	−0.0732136	−	0.213485i	−0.00279124	−	0.00813904i
$689$		−	5.76669i		−	0.219693i
$690$	−0.125120	+	0.201712i	−0.00476324	+	0.00767904i
$691$	14.6972			0.559108			0.279554	−	0.960130i	$-0.409813\pi$
$691$	14.6972			0.559108			0.279554	+	0.960130i	$0.409813\pi$
$692$	33.6460	−	27.7007i	1.27903	−	1.05302i
$693$	9.22750	−	40.4725i	0.350524	−	1.53742i
$694$	−0.779139	+	1.65069i	−0.0295757	+	0.0626592i
$695$			0.622461i			0.0236113i
$696$	6.97882	−	16.9770i	0.264531	−	0.643511i
$697$	30.0036			1.13647
$698$	−17.5535	+	1.45312i	−0.664409	+	0.0550013i
$699$	1.68501	−	14.6906i	0.0637328	−	0.555648i
$700$	9.17114	−	24.8027i	0.346637	−	0.937455i
$701$	−5.95864			−0.225055			−0.112527	−	0.993649i	$-0.535895\pi$
$701$	−5.95864			−0.225055			−0.112527	+	0.993649i	$0.535895\pi$
$702$	−25.4283	+	6.86232i	−0.959728	+	0.259001i
$703$	21.3150	+	36.9187i	0.803911	+	1.39242i
$704$	41.8228	+	1.17279i	1.57626	+	0.0442012i
$705$	−0.278386	+	0.375625i	−0.0104846	+	0.0141468i
$706$	12.6954	+	18.3124i	0.477796	+	0.689195i
$707$	−18.4185	+	10.7383i	−0.692699	+	0.403854i
$708$	−23.6510	−	12.0917i	−0.888860	−	0.454435i
$709$	−2.74210			−0.102982			−0.0514910	−	0.998673i	$-0.516397\pi$
$709$	−2.74210			−0.102982			−0.0514910	+	0.998673i	$0.516397\pi$
$710$	0.0641536	+	0.774967i	0.00240764	+	0.0290840i
$711$	7.57795	+	7.08796i	0.284195	+	0.265819i
$712$	3.72210	−	13.1509i	0.139491	−	0.492849i
$713$	1.29014	−	0.744861i	0.0483160	−	0.0278952i
$714$	−0.770196	+	28.1353i	−0.0288239	+	1.05294i
$715$	−0.820375	−	0.473644i	−0.0306803	−	0.0177133i
$716$	24.9985	+	9.36417i	0.934237	+	0.349955i
$717$	−3.29602	−	0.378053i	−0.123092	−	0.0141186i
$718$	−2.23446	−	3.22309i	−0.0833893	−	0.120285i
$719$	14.2180	−	24.6263i	0.530241	−	0.918405i	−0.469136	−	0.883126i	$-0.655435\pi$
$719$	14.2180	−	24.6263i	0.530241	−	0.918405i	0.999378	−	0.0352789i	$-0.0112319\pi$
$720$	−0.553327	−	0.248179i	−0.0206213	−	0.00924910i
$721$	−49.7884	+	0.211048i	−1.85422	+	0.00785983i
$722$	0.552430	+	6.67328i	0.0205593	+	0.248354i
$723$	−18.2998	−	2.09899i	−0.680578	−	0.0780623i
$724$	18.7283	−	15.4190i	0.696034	−	0.573043i
$725$	18.7244			0.695405
$726$	18.9207	+	35.3031i	0.702213	+	1.31022i
$727$	−24.2547	−	42.0103i	−0.899556	−	1.55808i	−0.828063	−	0.560635i	$-0.810557\pi$
$727$	−24.2547	−	42.0103i	−0.899556	−	1.55808i	−0.0714925	−	0.997441i	$-0.522776\pi$
$728$	18.7791	+	19.1500i	0.696001	+	0.709748i
$729$	−20.9058	−	17.0865i	−0.774289	−	0.632832i
$730$	−0.258727	+	0.179367i	−0.00957591	+	0.00663866i
$731$	−0.122521	+	0.212213i	−0.00453161	+	0.00784899i
$732$	−15.2529	+	29.8342i	−0.563764	+	1.10270i
$733$	−46.2514	+	26.7032i	−1.70833	+	0.986307i	−0.771705	+	0.635980i	$0.780596\pi$
$733$	−46.2514	+	26.7032i	−1.70833	+	0.986307i	−0.936628	+	0.350326i	$0.886071\pi$
$734$	−30.6147	+	21.2242i	−1.13001	+	0.783398i
$735$	0.609298	+	0.0646580i	0.0224743	+	0.00238495i
$736$	−1.19756	+	10.7808i	−0.0441426	+	0.397387i
$737$	24.8338	−	43.0133i	0.914763	−	1.58442i
$738$	28.9993	+	4.25854i	1.06748	+	0.156759i
$739$	−4.34119	+	2.50638i	−0.159693	+	0.0921988i	−0.577717	−	0.816237i	$-0.696056\pi$
$739$	−4.34119	+	2.50638i	−0.159693	+	0.0921988i	0.418024	+	0.908436i	$0.362723\pi$
$740$	0.880720	−	0.725096i	0.0323759	−	0.0266551i
$741$	−13.9609	+	18.8374i	−0.512867	+	0.692008i
$742$	−5.45498	−	2.54658i	−0.200259	−	0.0934878i
$743$	−19.9322	−	11.5079i	−0.731241	−	0.422182i	0.0876350	−	0.996153i	$-0.472069\pi$
$743$	−19.9322	−	11.5079i	−0.731241	−	0.422182i	−0.818876	+	0.573970i	$0.805402\pi$
$744$	2.32504	+	3.01329i	0.0852402	+	0.110473i
$745$	−0.831840	−	0.480263i	−0.0304763	−	0.0175955i
$746$	0.324459	+	3.91943i	0.0118793	+	0.143500i
$747$	−34.2177	−	7.95417i	−1.25196	−	0.291028i
$748$	−28.8734	−	35.0703i	−1.05571	−	1.28230i
$749$	−19.2666	+	11.2327i	−0.703985	+	0.410434i
$750$	0.0391089	−	1.23695i	0.00142806	−	0.0451669i
$751$	12.9111	−	7.45426i	0.471135	−	0.272010i	−0.245580	−	0.969376i	$-0.578978\pi$
$751$	12.9111	−	7.45426i	0.471135	−	0.272010i	0.716715	+	0.697367i	$0.245645\pi$
$752$	−4.10267	+	20.9680i	−0.149609	+	0.764623i
$753$	−34.0078	+	14.7565i	−1.23931	+	0.537758i
$754$	−8.10649	+	17.1745i	−0.295221	+	0.625457i
$755$	−0.183471			−0.00667719
$756$	−4.73778	+	27.0842i	−0.172311	+	0.985043i
$757$	45.5610			1.65594			0.827971	−	0.560770i	$-0.189495\pi$
$757$	45.5610			1.65594			0.827971	+	0.560770i	$0.189495\pi$
$758$	−18.6332	+	39.4764i	−0.676788	+	1.43385i
$759$	−15.9344	+	6.91417i	−0.578381	+	0.250968i
$760$	−0.523378	+	0.132405i	−0.0189849	+	0.00480282i
$761$	13.5228	−	7.80737i	0.490200	−	0.283017i	−0.234458	−	0.972126i	$-0.575331\pi$
$761$	13.5228	−	7.80737i	0.490200	−	0.283017i	0.724657	+	0.689109i	$0.241998\pi$
$762$	0.330892	−	10.4655i	0.0119870	−	0.379126i
$763$	22.4946	−	0.0953521i	0.814358	−	0.00345198i
$764$	−7.25901	+	5.97633i	−0.262622	+	0.216216i
$765$	0.191558	+	0.629955i	0.00692578	+	0.0227761i
$766$	1.12997	+	13.6499i	0.0408276	+	0.493192i
$767$	23.8012	+	13.7416i	0.859411	+	0.496181i
$768$	−27.7055	+	0.636027i	−0.999737	+	0.0229506i
$769$	−25.3443	−	14.6326i	−0.913940	−	0.527664i	−0.0322436	−	0.999480i	$-0.510265\pi$
$769$	−25.3443	−	14.6326i	−0.913940	−	0.527664i	−0.881697	+	0.471816i	$0.843599\pi$
$770$	−0.810321	+	0.566869i	−0.0292019	+	0.0204286i
$771$	−17.4580	+	23.5559i	−0.628734	+	0.848346i
$772$	34.1675	+	41.5007i	1.22972	+	1.49364i
$773$	−14.6242	+	8.44327i	−0.525995	+	0.303683i	−0.739384	−	0.673284i	$-0.764883\pi$
$773$	−14.6242	+	8.44327i	−0.525995	+	0.303683i	0.213389	+	0.976967i	$0.431550\pi$
$774$	−0.148541	+	0.187720i	−0.00533918	+	0.00674745i
$775$	−1.94126	+	3.36235i	−0.0697319	+	0.120779i
$776$	3.07992	+	3.16750i	0.110563	+	0.113706i
$777$	−41.6852	−	30.6212i	−1.49545	−	1.09853i
$778$	21.0257	−	14.5764i	0.753809	−	0.522591i
$779$	22.5971	−	13.0465i	0.809626	−	0.467438i
$780$	0.558670	+	0.285623i	0.0200036	+	0.0102270i
$781$	−28.4520	+	49.2802i	−1.01809	+	1.76339i
$782$	9.67883	−	6.71001i	0.346114	−	0.239950i
$783$	−19.1508	+	3.50459i	−0.684395	+	0.125244i
$784$	26.4078	−	9.30738i	0.943136	−	0.332406i
$785$	0.361646	+	0.626389i	0.0129077	+	0.0223568i
$786$	4.11080	+	7.67013i	0.146628	+	0.273585i
$787$	−13.8177			−0.492549			−0.246274	−	0.969200i	$-0.579206\pi$
$787$	−13.8177			−0.492549			−0.246274	+	0.969200i	$0.579206\pi$
$788$	−13.6979	−	16.6378i	−0.487968	−	0.592699i
$789$	−7.44591	−	0.854045i	−0.265081	−	0.0304048i
$790$	−0.0203933	−	0.246348i	−0.000725561	−	0.00876468i
$791$	8.33507	+	14.2965i	0.296361	+	0.508324i
$792$	−22.9292	−	37.9946i	−0.814754	−	1.35008i
$793$	17.3342	−	30.0237i	0.615554	−	1.06617i
$794$	−11.8534	−	17.0979i	−0.420661	−	0.606781i
$795$	−0.139916	−	0.0160483i	−0.00496230	−	0.000569175i
$796$	5.37189	−	14.3407i	0.190402	−	0.508294i
$797$	38.4431	+	22.1951i	1.36172	+	0.786191i	0.989853	−	0.142094i	$-0.0453834\pi$
$797$	38.4431	+	22.1951i	1.36172	+	0.786191i	0.371870	+	0.928285i	$0.378717\pi$
$798$	11.6540	+	21.5249i	0.412546	+	0.761973i
$799$	20.0897	−	11.5988i	0.710723	−	0.410336i
$800$	−11.3456	−	25.8933i	−0.401127	−	0.915465i
$801$	−13.8695	+	4.21745i	−0.490054	+	0.149016i
$802$	−3.54624	−	42.8381i	−0.125222	−	1.51267i
$803$	−23.0377			−0.812982
$804$	−14.9756	+	29.2918i	−0.528149	+	1.03304i
$805$	−0.129132	−	0.221490i	−0.00455132	−	0.00780651i
$806$	−2.24359	−	3.23626i	−0.0790271	−	0.113992i
$807$	10.7944	−	14.5648i	0.379980	−	0.512704i
$808$	−6.20708	+	21.9308i	−0.218364	+	0.771523i
$809$	18.6016	+	32.2189i	0.653996	+	1.13275i	0.982144	+	0.188129i	$0.0602422\pi$
$809$	18.6016	+	32.2189i	0.653996	+	1.13275i	−0.328148	+	0.944626i	$0.606424\pi$
$810$	0.0957335	+	0.636057i	0.00336373	+	0.0223488i
$811$	8.61136			0.302386			0.151193	−	0.988504i	$-0.451689\pi$
$811$	8.61136			0.302386			0.151193	+	0.988504i	$0.451689\pi$
$812$	12.6663	+	15.2526i	0.444499	+	0.535260i
$813$	2.24720	−	19.5920i	0.0788129	−	0.687123i
$814$	83.1962	−	6.88718i	2.91603	−	0.241395i
$815$	0.525525			0.0184083
$816$	20.2837	+	22.2245i	0.710072	+	0.778012i
$817$			0.213104i			0.00745555i
$818$	−6.86595	+	14.5462i	−0.240062	+	0.508597i
$819$	6.32377	−	27.7365i	0.220970	−	0.969191i
$820$	−0.443815	−	0.539069i	−0.0154987	−	0.0188251i
$821$	21.6641			0.756081			0.378040	−	0.925789i	$-0.376598\pi$
$821$	21.6641			0.756081			0.378040	+	0.925789i	$0.376598\pi$
$822$	−22.3953	+	36.1045i	−0.781125	+	1.25929i
$823$		−	49.4514i		−	1.72377i	−0.507107	−	0.861883i	$-0.669285\pi$
$823$		−	49.4514i		−	1.72377i	0.507107	−	0.861883i	$-0.330715\pi$
$824$	−38.1607	+	37.1056i	−1.32939	+	1.29263i
$825$	26.9546	−	36.3696i	0.938438	−	1.26623i
$826$	23.5095	−	16.4463i	0.818000	−	0.572241i
$827$		−	27.3297i		−	0.950346i	−0.879892	−	0.475173i	$-0.842385\pi$
$827$		−	27.3297i		−	0.950346i	0.879892	−	0.475173i	$-0.157615\pi$
$828$	10.3072	−	5.11165i	0.358201	−	0.177642i
$829$	9.04573	−	5.22255i	0.314171	−	0.181387i	−0.334620	−	0.942353i	$-0.608608\pi$
$829$	9.04573	−	5.22255i	0.314171	−	0.181387i	0.648791	+	0.760966i	$0.275275\pi$
$830$	0.476819	+	0.687786i	0.0165506	+	0.0238734i
$831$	3.16395	−	27.5846i	0.109756	−	0.956899i
$832$	28.6619	+	0.803734i	0.993672	+	0.0278645i
$833$	−26.4559	−	14.9767i	−0.916643	−	0.518913i
$834$	15.9035	−	25.6388i	0.550693	−	0.887799i
$835$		−	0.379235i		−	0.0131240i
$836$	−36.9955	−	13.8581i	−1.27952	−	0.479293i
$837$	1.35615	−	3.80228i	0.0468754	−	0.131426i
$838$	−34.5712	+	23.9670i	−1.19424	+	0.827928i
$839$	−21.7591	−	37.6879i	−0.751208	−	1.30113i	−0.947238	−	0.320532i	$-0.896138\pi$
$839$	−21.7591	−	37.6879i	−0.751208	−	1.30113i	0.196030	−	0.980598i	$-0.437195\pi$
$840$	0.516894	−	0.402340i	0.0178345	−	0.0138821i
$841$	7.48080	−	12.9571i	0.257958	−	0.446797i
$842$	0.634486	+	7.66450i	0.0218658	+	0.264136i
$843$	2.96754	+	2.19933i	0.102207	+	0.0757489i
$844$	1.69841	+	10.1880i	0.0584618	+	0.350685i
$845$	0.00673641	+	0.00388927i	0.000231739	+	0.000133795i
$846$	21.0635	−	8.35915i	0.724180	−	0.287393i
$847$	−43.2626	+	0.183386i	−1.48652	+	0.00630121i
$848$	−6.08773	+	2.08776i	−0.209054	+	0.0716939i
$849$	34.9141	−	15.1498i	1.19825	−	0.519939i
$850$	−13.1016	+	27.7572i	−0.449383	+	0.952064i
$851$			21.6430i			0.741914i
$852$	17.1575	−	33.5595i	0.587806	−	1.14973i
$853$	14.1948	−	8.19537i	0.486020	−	0.280604i	−0.236902	−	0.971534i	$-0.576132\pi$
$853$	14.1948	−	8.19537i	0.486020	−	0.280604i	0.722922	+	0.690930i	$0.242799\pi$
$854$	−20.7460	−	29.6557i	−0.709913	−	1.01480i
$855$	0.418194	+	0.391154i	0.0143019	+	0.0133772i
$856$	−6.49288	+	22.9406i	−0.221922	+	0.784093i
$857$	12.1815	+	7.03300i	0.416112	+	0.240243i	0.693413	−	0.720541i	$-0.256106\pi$
$857$	12.1815	+	7.03300i	0.416112	+	0.240243i	−0.277300	+	0.960783i	$0.589440\pi$
$858$	21.6894	+	40.4692i	0.740465	+	1.38160i
$859$	27.4440	+	47.5344i	0.936378	+	1.62185i	0.772158	+	0.635431i	$0.219177\pi$
$859$	27.4440	+	47.5344i	0.936378	+	1.62185i	0.164220	+	0.986424i	$0.447489\pi$
$860$	0.00562514		0.000937751i	0.000191816		3.19770e-5i
$861$	−18.7426	+	25.5146i	−0.638745	+	0.869535i
$862$	−21.6882	+	1.79540i	−0.738703	+	0.0611515i
$863$	22.6425	+	13.0727i	0.770760	+	0.444998i	0.833146	−	0.553054i	$-0.186538\pi$
$863$	22.6425	+	13.0727i	0.770760	+	0.444998i	−0.0623858	+	0.998052i	$0.519871\pi$
$864$	16.4504	+	24.3595i	0.559653	+	0.828727i
$865$	0.550617	+	0.953696i	0.0187215	+	0.0324266i
$866$	−12.3066	+	26.0729i	−0.418196	+	0.885993i
$867$	0.367423	−	3.20334i	0.0124783	−	0.108791i
$868$	−4.05210	+	0.693180i	−0.137537	+	0.0235281i
$869$	9.04437	−	15.6653i	0.306809	−	0.531409i
$870$	0.394140	+	0.244481i	0.0133626	+	0.00828869i
$871$	17.0190	−	29.4778i	0.576667	−	0.998816i
$872$	17.2411	−	16.7644i	0.583858	−	0.567715i
$873$	1.06101	−	4.56432i	0.0359099	−	0.154479i
$874$	4.37187	−	9.26226i	0.147881	−	0.313301i
$875$	1.16046	+	0.663448i	0.0392306	+	0.0224286i
$876$	15.2395	−	0.777694i	0.514895	−	0.0262759i
$877$	−9.77918	−	16.9380i	−0.330219	−	0.571957i	0.652335	−	0.757930i	$-0.273789\pi$
$877$	−9.77918	−	16.9380i	−0.330219	−	0.571957i	−0.982555	+	0.185974i	$0.940456\pi$
$878$	5.61758	+	2.65155i	0.189584	+	0.0894854i
$879$	−44.3733	−	5.08962i	−1.49668	−	0.171669i
$880$	−0.203006	+	1.03752i	−0.00684333	+	0.0349750i
$881$			9.97088i			0.335928i	0.985793	+	0.167964i	$0.0537192\pi$
$881$			9.97088i			0.335928i	−0.985793	+	0.167964i	$0.946281\pi$
$882$	−23.4447	−	18.2304i	−0.789423	−	0.613850i
$883$			50.5277i			1.70039i	0.526467	+	0.850196i	$0.323516\pi$
$883$			50.5277i			1.70039i	−0.526467	+	0.850196i	$0.676484\pi$
$884$	−19.7874	−	24.0343i	−0.665523	−	0.808361i
$885$	0.399647	−	0.539240i	0.0134340	−	0.0181264i
$886$	−22.5615	+	47.7990i	−0.757969	+	1.60584i
$887$	2.11222	+	3.65848i	0.0709215	+	0.122840i	0.899305	−	0.437321i	$-0.144073\pi$
$887$	2.11222	+	3.65848i	0.0709215	+	0.122840i	−0.828384	+	0.560161i	$0.810739\pi$
$888$	−54.8021	+	7.36439i	−1.83904	+	0.247133i
$889$	9.81839	+	5.61329i	0.329298	+	0.188264i
$890$	0.312309	+	0.147412i	0.0104686	+	0.00494128i
$891$	−20.7613	+	42.2430i	−0.695530	+	1.41519i
$892$	6.70545	−	17.9008i	0.224515	−	0.599363i
$893$	10.0870	−	17.4712i	0.337549	−	0.584652i
$894$	21.9926	+	41.0348i	0.735541	+	1.37241i
$895$	−0.337264	+	0.584158i	−0.0112735	+	0.0195262i
$896$	13.4174	−	26.7577i	0.448244	−	0.893911i
$897$	−10.9201	+	4.73840i	−0.364611	+	0.158211i
$898$	−22.2117	−	10.4841i	−0.741215	−	0.349860i
$899$	−1.45544	−	2.52089i	−0.0485415	−	0.0840764i
$900$	−16.6028	+	24.9685i	−0.553427	+	0.832285i
$901$	6.05147	+	3.49382i	0.201604	+	0.116396i
$902$	−4.21549	−	50.9226i	−0.140360	−	1.69554i
$903$	−0.103926	−	0.236755i	−0.00345845	−	0.00787871i
$904$	17.0227	+	4.81795i	0.566167	+	0.160243i
$905$	0.306489	+	0.530855i	0.0101880	+	0.0176462i
$906$	7.55705	+	4.68757i	0.251066	+	0.155734i
$907$	42.4167	+	24.4893i	1.40842	+	0.813153i	0.995236	−	0.0974928i	$-0.0310823\pi$
$907$	42.4167	+	24.4893i	1.40842	+	0.813153i	0.413187	+	0.910646i	$0.364416\pi$
$908$	12.5606	−	2.09394i	0.416838	−	0.0694898i
$909$	23.1292	−	7.03315i	0.767146	−	0.233275i
$910$	−0.555327	+	0.388485i	−0.0184089	+	0.0128782i
$911$	−18.3776	+	10.6103i	−0.608878	+	0.351536i	−0.772526	−	0.634983i	$-0.781007\pi$
$911$	−18.3776	+	10.6103i	−0.608878	+	0.351536i	0.163648	+	0.986519i	$0.447674\pi$
$912$	24.9405	+	7.91832i	0.825861	+	0.262202i
$913$			61.2422i			2.02682i
$914$	37.6374	+	17.7652i	1.24493	+	0.587619i
$915$	−0.680217	−	0.504128i	−0.0224873	−	0.0166660i
$916$	−36.8036	−	13.7862i	−1.21602	−	0.455510i
$917$	−9.39945	+	0.0398433i	−0.310397	+	0.00131574i
$918$	8.20482	−	30.8416i	0.270799	−	1.01793i
$919$	−8.84718	−	5.10792i	−0.291842	−	0.168495i	0.346931	−	0.937891i	$-0.387224\pi$
$919$	−8.84718	−	5.10792i	−0.291842	−	0.168495i	−0.638772	+	0.769396i	$0.720557\pi$
$920$	−0.263727	−	0.0746429i	−0.00869483	−	0.00246090i
$921$	16.8706	−	7.32041i	0.555905	−	0.241216i
$922$	48.0132	−	3.97464i	1.58123	−	0.130898i
$923$	−19.4986	+	33.7726i	−0.641805	+	1.11164i
$924$	47.8598	−	2.64580i	1.57447	−	0.0870404i
$925$	−28.2030	−	48.8491i	−0.927310	−	1.60615i
$926$	19.3714	+	27.9422i	0.636583	+	0.918237i
$927$	54.9891	+	12.7827i	1.80608	+	0.419837i
$928$	21.0655	+	2.34000i	0.691507	+	0.0768141i
$929$		−	22.2693i		−	0.730632i	−0.930884	−	0.365316i	$-0.880961\pi$
$929$		−	22.2693i		−	0.730632i	0.930884	−	0.365316i	$-0.119039\pi$
$930$	−0.0847643	+	0.0454294i	−0.00277953	+	0.00148969i
$931$	−26.4375	+	0.224136i	−0.866454	+	0.00734575i
$932$	16.8420	−	2.80768i	0.551678	−	0.0919687i
$933$	−36.0309	+	15.6344i	−1.17960	+	0.511846i
$934$	27.0599	−	18.7598i	0.885428	−	0.613838i
$935$	0.994068	−	0.573926i	0.0325095	−	0.0187694i
$936$	−15.7138	−	26.0383i	−0.513621	−	0.851090i
$937$			54.2731i			1.77302i	0.462705	+	0.886512i	$0.346879\pi$
$937$			54.2731i			1.77302i	−0.462705	+	0.886512i	$0.653121\pi$
$938$	−20.3688	−	29.1165i	−0.665064	−	0.950687i
$939$	−18.5140	−	42.6674i	−0.604183	−	1.39240i
$940$	−0.505562	−	0.189378i	−0.0164896	−	0.00617684i
$941$		−	15.9133i		−	0.518760i	−0.965775	−	0.259380i	$-0.916482\pi$
$941$		−	15.9133i		−	0.518760i	0.965775	−	0.259380i	$-0.0835182\pi$
$942$	1.10788	−	35.0404i	0.0360968	−	1.14168i
$943$	13.2472			0.431389
$944$	5.88973	−	30.1013i	0.191694	−	0.979712i
$945$	−0.655365	−	0.230621i	−0.0213190	−	0.00750210i
$946$	0.377385	+	0.178129i	0.0122699	+	0.00579148i
$947$		−	14.1752i		−	0.460633i	−0.973116	−	0.230316i	$-0.926024\pi$
$947$		−	14.1752i		−	0.460633i	0.973116	−	0.230316i	$-0.0739761\pi$
$948$	−5.45406	+	10.6680i	−0.177140	+	0.346480i
$949$	−15.7881			−0.512504
$950$	2.20220	+	26.6022i	0.0714487	+	0.863090i
$951$	−0.0653155	+	0.0283414i	−0.00211800	+	0.000919033i
$952$	−31.4733	+	8.10424i	−1.02006	+	0.262660i
$953$	18.0983			0.586261			0.293130	−	0.956072i	$-0.405303\pi$
$953$	18.0983			0.586261			0.293130	+	0.956072i	$0.405303\pi$
$954$	5.35302	+	4.23578i	0.173310	+	0.137138i
$955$	−0.118794	−	0.205757i	−0.00384407	−	0.00665813i
$956$	−0.629940	−	3.77872i	−0.0203737	−	0.122213i
$957$	13.5101	+	31.1353i	0.436720	+	1.00646i
$958$	−24.3767	+	16.8996i	−0.787577	+	0.546001i
$959$	−23.1135	−	39.6446i	−0.746373	−	1.28019i
$960$	0.0992650	−	0.693179i	0.00320376	−	0.0223723i
$961$	−30.3964			−0.980530
$962$	57.0158	−	4.71990i	1.83826	−	0.152176i
$963$	24.1941	−	7.35699i	0.779645	−	0.237076i
$964$	−3.49749	−	20.9798i	−0.112647	−	0.675715i
$965$	−1.17634	+	0.679159i	−0.0378677	+	0.0218629i
$966$	−0.340058	+	12.4223i	−0.0109412	+	0.399681i
$967$	−9.01849	−	5.20683i	−0.290015	−	0.167440i	0.347934	−	0.937519i	$-0.386883\pi$
$967$	−9.01849	−	5.20683i	−0.290015	−	0.167440i	−0.637949	+	0.770079i	$0.720217\pi$
$968$	−33.1590	+	32.2422i	−1.06577	+	1.03630i
$969$	−11.3092	−	26.0632i	−0.363305	−	0.837271i
$970$	−0.0917444	+	0.0636033i	−0.00294573	+	0.00204218i
$971$	8.08607	−	14.0055i	0.259494	−	0.449457i	−0.706612	−	0.707601i	$-0.749777\pi$
$971$	8.08607	−	14.0055i	0.259494	−	0.449457i	0.966107	+	0.258144i	$0.0831108\pi$
$972$	12.3077	−	28.6447i	0.394769	−	0.918781i
$973$	16.4135	+	28.1527i	0.526193	+	0.902536i
$974$	−28.8330	+	2.38686i	−0.923868	+	0.0764800i
$975$	18.4724	−	24.9247i	0.591591	−	0.798230i
$976$	−37.9708	−	7.42950i	−1.21541	−	0.237813i
$977$	3.41831			0.109361			0.0546806	−	0.998504i	$-0.482586\pi$
$977$	3.41831			0.109361			0.0546806	+	0.998504i	$0.482586\pi$
$978$	−21.6461	−	13.4268i	−0.692164	−	0.429343i
$979$	12.6359	+	21.8860i	0.403845	+	0.699480i
$980$	0.122253	+	0.696865i	0.00390523	+	0.0222605i
$981$	−24.8443	−	5.77525i	−0.793216	−	0.184389i
$982$	−13.6408	−	19.6761i	−0.435294	−	0.627888i
$983$	25.1900	−	43.6304i	0.803437	−	1.39159i	−0.113904	−	0.993492i	$-0.536336\pi$
$983$	25.1900	−	43.6304i	0.803437	−	1.39159i	0.917341	−	0.398102i	$-0.130331\pi$
$984$	4.50758	+	33.5431i	0.143696	+	1.06932i
$985$	0.471600	−	0.272278i	0.0150264	−	0.00867550i
$986$	−13.1112	−	18.9122i	−0.417545	−	0.602286i
$987$	−2.68615	+	24.3295i	−0.0855012	+	0.774416i
$988$	−25.3536	−	9.49721i	−0.806607	−	0.302147i
$989$	−0.0540957	+	0.0936966i	−0.00172014	+	0.00297938i
$990$	1.04225	−	0.413623i	0.0331250	−	0.0131458i
$991$	3.64655	−	2.10534i	0.115837	−	0.0668782i	−0.440962	−	0.897526i	$-0.645363\pi$
$991$	3.64655	−	2.10534i	0.115837	−	0.0668782i	0.556799	+	0.830647i	$0.312029\pi$
$992$	−2.60416	+	3.54015i	−0.0826823	+	0.112400i
$993$	9.19271	+	21.1855i	0.291722	+	0.672301i
$994$	23.3365	+	33.3587i	0.740187	+	1.05807i
$995$	0.335111	+	0.193476i	0.0106237	+	0.00613361i
$996$	−2.06738	−	40.5119i	−0.0655075	−	1.28367i
$997$	−11.3377	−	6.54583i	−0.359069	−	0.207309i	0.309603	−	0.950866i	$-0.399804\pi$
$997$	−11.3377	−	6.54583i	−0.359069	−	0.207309i	−0.668672	+	0.743557i	$0.733137\pi$
$998$	−41.0724	+	3.40007i	−1.30012	+	0.107627i
$999$	37.9884	+	44.6831i	1.20190	+	1.41371i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.bj.b.103.38	yes	84
3.2	odd	2		756.2.bj.b.523.5		84
4.3	odd	2	inner	252.2.bj.b.103.37	yes	84
7.3	odd	6		252.2.n.b.31.9	✓	84
9.2	odd	6		756.2.n.b.19.23		84
9.7	even	3		252.2.n.b.187.20	yes	84
12.11	even	2		756.2.bj.b.523.6		84
21.17	even	6		756.2.n.b.199.34		84
28.3	even	6		252.2.n.b.31.20	yes	84
36.7	odd	6		252.2.n.b.187.9	yes	84
36.11	even	6		756.2.n.b.19.34		84
63.38	even	6		756.2.bj.b.451.5		84
63.52	odd	6	inner	252.2.bj.b.115.38	yes	84
84.59	odd	6		756.2.n.b.199.23		84
252.115	even	6	inner	252.2.bj.b.115.37	yes	84
252.227	odd	6		756.2.bj.b.451.6		84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.n.b.31.9	✓	84	7.3	odd	6
252.2.n.b.31.20	yes	84	28.3	even	6
252.2.n.b.187.9	yes	84	36.7	odd	6
252.2.n.b.187.20	yes	84	9.7	even	3
252.2.bj.b.103.37	yes	84	4.3	odd	2	inner
252.2.bj.b.103.38	yes	84	1.1	even	1	trivial
252.2.bj.b.115.37	yes	84	252.115	even	6	inner
252.2.bj.b.115.38	yes	84	63.52	odd	6	inner
756.2.n.b.19.23		84	9.2	odd	6
756.2.n.b.19.34		84	36.11	even	6
756.2.n.b.199.23		84	84.59	odd	6
756.2.n.b.199.34		84	21.17	even	6
756.2.bj.b.451.5		84	63.38	even	6
756.2.bj.b.451.6		84	252.227	odd	6
756.2.bj.b.523.5		84	3.2	odd	2
756.2.bj.b.523.6		84	12.11	even	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 252 = 2^{2} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	252.bj (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(1.27891 + 0.603655i) q^{2} +(1.58892 - 0.689455i) q^{3} +(1.27120 + 1.54404i) q^{4} +(-0.0437657 + 0.0252681i) q^{5} +(2.44827 + 0.0774077i) q^{6} +(-1.31315 + 2.29687i) q^{7} +(0.693684 + 2.74204i) q^{8} +(2.04930 - 2.19097i) q^{9} +O(q^{10})\)	\(q+(1.27891 + 0.603655i) q^{2} +(1.58892 - 0.689455i) q^{3} +(1.27120 + 1.54404i) q^{4} +(-0.0437657 + 0.0252681i) q^{5} +(2.44827 + 0.0774077i) q^{6} +(-1.31315 + 2.29687i) q^{7} +(0.693684 + 2.74204i) q^{8} +(2.04930 - 2.19097i) q^{9} +(-0.0712254 + 0.00589621i) q^{10} +(-4.52923 - 2.61495i) q^{11} +(3.08438 + 1.57690i) q^{12} +(-3.10396 - 1.79207i) q^{13} +(-3.06592 + 2.14480i) q^{14} +(-0.0521187 + 0.0703234i) q^{15} +(-0.768090 + 3.92556i) q^{16} +(3.76114 - 2.17150i) q^{17} +(3.94346 - 1.56498i) q^{18} +(1.88846 - 3.27091i) q^{19} +(-0.0946499 - 0.0354549i) q^{20} +(-0.502894 + 4.55490i) q^{21} +(-4.21393 - 6.07837i) q^{22} +(1.66062 - 0.958761i) q^{23} +(2.99272 + 3.87861i) q^{24} +(-2.49872 + 4.32792i) q^{25} +(-2.88788 - 4.16561i) q^{26} +(1.74559 - 4.89417i) q^{27} +(-5.21574 + 0.892240i) q^{28} +(-1.87339 - 3.24481i) q^{29} +(-0.109106 + 0.0584753i) q^{30} +0.776899 q^{31} +(-3.35200 + 4.55676i) q^{32} +(-8.99945 - 1.03224i) q^{33} +(6.12098 - 0.506709i) q^{34} +(-0.000566762 - 0.133705i) q^{35} +(5.98802 + 0.379029i) q^{36} +(-5.64349 + 9.77481i) q^{37} +(4.38966 - 3.04321i) q^{38} +(-6.16748 - 0.707409i) q^{39} +(-0.0996458 - 0.102479i) q^{40} +(5.98295 + 3.45426i) q^{41} +(-3.39274 + 5.52171i) q^{42} +(-0.0488634 + 0.0282113i) q^{43} +(-1.71999 - 10.3174i) q^{44} +(-0.0343274 + 0.147671i) q^{45} +(2.70254 - 0.223723i) q^{46} +5.34139 q^{47} +(1.48607 + 6.76695i) q^{48} +(-3.55127 - 6.03229i) q^{49} +(-5.80820 + 4.02663i) q^{50} +(4.47899 - 6.04346i) q^{51} +(-1.17874 - 7.07071i) q^{52} +(0.804472 + 1.39339i) q^{53} +(5.18684 - 5.20545i) q^{54} +0.264300 q^{55} +(-7.20904 - 2.00741i) q^{56} +(0.745459 - 6.49921i) q^{57} +(-0.437148 - 5.28069i) q^{58} -7.66801 q^{59} +(-0.174835 + 0.00892209i) q^{60} +9.67270i q^{61} +(0.993581 + 0.468979i) q^{62} +(2.34134 + 7.58407i) q^{63} +(-7.03760 + 3.80422i) q^{64} +0.181129 q^{65} +(-10.8863 - 6.75269i) q^{66} +9.49683i q^{67} +(8.13404 + 3.04692i) q^{68} +(1.97757 - 2.66832i) q^{69} +(0.0799869 - 0.171338i) q^{70} -10.8805i q^{71} +(7.42931 + 4.09944i) q^{72} +(3.81483 - 2.20250i) q^{73} +(-13.1181 + 9.09435i) q^{74} +(-0.986356 + 8.59945i) q^{75} +(7.45102 - 1.24214i) q^{76} +(11.9538 - 6.96924i) q^{77} +(-7.46060 - 4.62774i) q^{78} +3.45871i q^{79} +(-0.0655756 - 0.191213i) q^{80} +(-0.600712 - 8.97993i) q^{81} +(5.56645 + 8.02930i) q^{82} +(-5.85500 - 10.1412i) q^{83} +(-7.67220 + 5.01371i) q^{84} +(-0.109739 + 0.190074i) q^{85} +(-0.0795215 + 0.00658298i) q^{86} +(-5.21382 - 3.86411i) q^{87} +(4.02846 - 14.2333i) q^{88} +(-4.18478 - 2.41609i) q^{89} +(-0.133044 + 0.168136i) q^{90} +(8.19213 - 4.77614i) q^{91} +(3.59135 + 1.34528i) q^{92} +(1.23443 - 0.535637i) q^{93} +(6.83114 + 3.22436i) q^{94} +0.190871i q^{95} +(-2.18436 + 9.55137i) q^{96} +(1.35274 - 0.781004i) q^{97} +(-0.900319 - 9.85847i) q^{98} +(-15.0110 + 4.56458i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9}+O(q^{10}) \) 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9	\( 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9} - 18 q^{10} - 6 q^{12} + 18 q^{13} + 14 q^{14} + 14 q^{16} + 6 q^{17} - 10 q^{18} - 24 q^{20} + 4 q^{21} + 6 q^{22} - 6 q^{24} + 16 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 11 q^{30} - 18 q^{32} - 18 q^{33} - 24 q^{34} - 38 q^{36} + 2 q^{37} + 33 q^{38} + 6 q^{40} + 6 q^{41} - 38 q^{42} - 13 q^{44} - 54 q^{45} + 10 q^{46} + 9 q^{48} - 28 q^{49} - 17 q^{50} - 27 q^{52} - 2 q^{53} - 39 q^{54} + 58 q^{56} + 6 q^{57} - 13 q^{58} - 31 q^{60} - 8 q^{64} - 100 q^{65} + 30 q^{66} - 18 q^{68} - 18 q^{69} - 19 q^{70} + 26 q^{72} + 30 q^{73} - 23 q^{74} - 2 q^{77} + 15 q^{78} + 3 q^{80} - 32 q^{81} - 18 q^{82} + 23 q^{84} - 50 q^{85} - 9 q^{86} + q^{88} - 102 q^{89} - 39 q^{90} + 28 q^{92} - 36 q^{93} + 63 q^{96} + 6 q^{97} + 21 q^{98}+O(q^{100}) \) 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9 - 18 * q^10 - 6 * q^12 + 18 * q^13 + 14 * q^14 + 14 * q^16 + 6 * q^17 - 10 * q^18 - 24 * q^20 + 4 * q^21 + 6 * q^22 - 6 * q^24 + 16 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 11 * q^30 - 18 * q^32 - 18 * q^33 - 24 * q^34 - 38 * q^36 + 2 * q^37 + 33 * q^38 + 6 * q^40 + 6 * q^41 - 38 * q^42 - 13 * q^44 - 54 * q^45 + 10 * q^46 + 9 * q^48 - 28 * q^49 - 17 * q^50 - 27 * q^52 - 2 * q^53 - 39 * q^54 + 58 * q^56 + 6 * q^57 - 13 * q^58 - 31 * q^60 - 8 * q^64 - 100 * q^65 + 30 * q^66 - 18 * q^68 - 18 * q^69 - 19 * q^70 + 26 * q^72 + 30 * q^73 - 23 * q^74 - 2 * q^77 + 15 * q^78 + 3 * q^80 - 32 * q^81 - 18 * q^82 + 23 * q^84 - 50 * q^85 - 9 * q^86 + q^88 - 102 * q^89 - 39 * q^90 + 28 * q^92 - 36 * q^93 + 63 * q^96 + 6 * q^97 + 21 * q^98

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