LMFDB - Embedded newform 300.2.r.a.59.13

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [300,2,Mod(59,300)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(300, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 5, 7]))

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

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

chi := DirichletCharacter("300.59");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 300 = 2^{2} \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	300.r (of order $10$, 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:	$2.39551206064$
Analytic rank:	$0$
Dimension:	$224$
Relative dimension:	$56$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			59.13
Character	$\chi$	$=$	300.59
Dual form			300.2.r.a.239.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.06241 + 0.933425i) q^{2} +(0.154412 - 1.72515i) q^{3} +(0.257435 - 1.98336i) q^{4} +(-0.778418 + 2.09620i) q^{5} +(1.44625 + 1.97695i) q^{6} -3.14870 q^{7} +(1.57782 + 2.34744i) q^{8} +(-2.95231 - 0.532768i) q^{9} +O(q^{10})$	\(q+(-1.06241 + 0.933425i) q^{2} +(0.154412 - 1.72515i) q^{3} +(0.257435 - 1.98336i) q^{4} +(-0.778418 + 2.09620i) q^{5} +(1.44625 + 1.97695i) q^{6} -3.14870 q^{7} +(1.57782 + 2.34744i) q^{8} +(-2.95231 - 0.532768i) q^{9} +(-1.12965 - 2.95362i) q^{10} +(-1.76255 - 1.28057i) q^{11} +(-3.38186 - 0.750369i) q^{12} +(2.63696 + 3.62946i) q^{13} +(3.34522 - 2.93908i) q^{14} +(3.49608 + 1.66657i) q^{15} +(-3.86745 - 1.02117i) q^{16} +(-1.48600 + 4.57343i) q^{17} +(3.63387 - 2.18975i) q^{18} +(-2.98189 - 0.968874i) q^{19} +(3.95714 + 2.08352i) q^{20} +(-0.486197 + 5.43200i) q^{21} +(3.06787 - 0.284720i) q^{22} +(-4.21422 + 5.80038i) q^{23} +(4.29333 - 2.35951i) q^{24} +(-3.78813 - 3.26345i) q^{25} +(-6.18937 - 1.39458i) q^{26} +(-1.37498 + 5.01093i) q^{27} +(-0.810586 + 6.24502i) q^{28} +(-1.17852 + 0.382923i) q^{29} +(-5.26989 + 1.49274i) q^{30} +(5.04721 + 1.63994i) q^{31} +(5.06202 - 2.52507i) q^{32} +(-2.48134 + 2.84294i) q^{33} +(-2.69022 - 6.24593i) q^{34} +(2.45101 - 6.60032i) q^{35} +(-1.81670 + 5.71836i) q^{36} +(-5.18020 - 7.12994i) q^{37} +(4.07236 - 1.75403i) q^{38} +(6.66856 - 3.98873i) q^{39} +(-6.14892 + 1.48014i) q^{40} +(-3.03863 - 4.18232i) q^{41} +(-4.55382 - 6.22484i) q^{42} -0.651734 q^{43} +(-2.99358 + 3.16612i) q^{44} +(3.41493 - 5.77393i) q^{45} +(-0.936984 - 10.0961i) q^{46} +(-0.972428 + 0.315961i) q^{47} +(-2.35886 + 6.51427i) q^{48} +2.91433 q^{49} +(7.07073 - 0.0688148i) q^{50} +(7.66042 + 3.26977i) q^{51} +(7.87739 - 4.29570i) q^{52} +(-0.802886 - 2.47103i) q^{53} +(-3.21654 - 6.60711i) q^{54} +(4.05634 - 2.69785i) q^{55} +(-4.96808 - 7.39140i) q^{56} +(-2.13190 + 4.99461i) q^{57} +(0.894639 - 1.50688i) q^{58} +(-2.99418 + 2.17540i) q^{59} +(4.20542 - 6.50495i) q^{60} +(10.3472 + 7.51767i) q^{61} +(-6.89298 + 2.96891i) q^{62} +(9.29596 + 1.67753i) q^{63} +(-3.02097 + 7.40768i) q^{64} +(-9.66075 + 2.70236i) q^{65} +(-0.0174700 - 5.33651i) q^{66} +(-3.32333 + 10.2281i) q^{67} +(8.68822 + 4.12463i) q^{68} +(9.35582 + 8.16583i) q^{69} +(3.55692 + 9.30008i) q^{70} +(-3.91937 - 12.0626i) q^{71} +(-3.40757 - 7.77100i) q^{72} +(6.85959 - 9.44142i) q^{73} +(12.1588 + 2.73959i) q^{74} +(-6.21488 + 6.03119i) q^{75} +(-2.68927 + 5.66474i) q^{76} +(5.54975 + 4.03213i) q^{77} +(-3.36157 + 10.4623i) q^{78} +(10.8901 - 3.53841i) q^{79} +(5.15108 - 7.31207i) q^{80} +(8.43232 + 3.14580i) q^{81} +(7.13216 + 1.60701i) q^{82} +(-4.25869 - 1.38373i) q^{83} +(10.6485 + 2.36269i) q^{84} +(-8.43011 - 6.67500i) q^{85} +(0.692409 - 0.608345i) q^{86} +(0.478625 + 2.09225i) q^{87} +(0.225074 - 6.15800i) q^{88} +(1.83218 - 2.52177i) q^{89} +(1.76148 + 9.32187i) q^{90} +(-8.30300 - 11.4281i) q^{91} +(10.4194 + 9.85155i) q^{92} +(3.60850 - 8.45400i) q^{93} +(0.738193 - 1.24337i) q^{94} +(4.35211 - 5.49645i) q^{95} +(-3.57451 - 9.12266i) q^{96} +(-3.13732 + 1.01938i) q^{97} +(-3.09621 + 2.72031i) q^{98} +(4.52136 + 4.71967i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 224 q - 6 q^{4} - 7 q^{6} - 6 q^{9}+O(q^{10}) $ 224 * q - 6 * q^4 - 7 * q^6 - 6 * q^9	$ 224 q - 6 q^{4} - 7 q^{6} - 6 q^{9} - 5 q^{12} - 20 q^{13} + 6 q^{16} - 24 q^{21} - 10 q^{22} - 28 q^{24} - 20 q^{25} - 50 q^{28} - 25 q^{30} - 10 q^{33} - 14 q^{34} - 25 q^{36} - 60 q^{37} - 20 q^{40} - 85 q^{42} - 30 q^{45} + 6 q^{46} - 70 q^{48} + 88 q^{49} + 40 q^{52} - 46 q^{54} + 50 q^{58} + 10 q^{60} - 28 q^{61} + 18 q^{64} + 64 q^{66} - 42 q^{69} - 40 q^{70} - 5 q^{72} - 20 q^{73} - 80 q^{76} - 85 q^{78} + 18 q^{81} - 48 q^{84} - 20 q^{85} + 50 q^{88} - 60 q^{90} + 60 q^{94} + 44 q^{96} - 120 q^{97}+O(q^{100}) $ 224 * q - 6 * q^4 - 7 * q^6 - 6 * q^9 - 5 * q^12 - 20 * q^13 + 6 * q^16 - 24 * q^21 - 10 * q^22 - 28 * q^24 - 20 * q^25 - 50 * q^28 - 25 * q^30 - 10 * q^33 - 14 * q^34 - 25 * q^36 - 60 * q^37 - 20 * q^40 - 85 * q^42 - 30 * q^45 + 6 * q^46 - 70 * q^48 + 88 * q^49 + 40 * q^52 - 46 * q^54 + 50 * q^58 + 10 * q^60 - 28 * q^61 + 18 * q^64 + 64 * q^66 - 42 * q^69 - 40 * q^70 - 5 * q^72 - 20 * q^73 - 80 * q^76 - 85 * q^78 + 18 * q^81 - 48 * q^84 - 20 * q^85 + 50 * q^88 - 60 * q^90 + 60 * q^94 + 44 * q^96 - 120 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/300\mathbb{Z}\right)^\times$.

$n$	$101$	$151$	$277$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{7}{10}\right)$

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 $

$2$	−1.06241	+	0.933425i	−0.751238	+	0.660031i
$2$	−1.06241	+	0.933425i	−0.751238	+	0.660031i
$3$	0.154412	−	1.72515i	0.0891497	−	0.996018i
$3$	0.154412	−	1.72515i	0.0891497	−	0.996018i
$4$	0.257435	−	1.98336i	0.128717	−	0.991681i
$5$	−0.778418	+	2.09620i	−0.348119	+	0.937450i
$5$	−0.778418	+	2.09620i	−0.348119	+	0.937450i
$6$	1.44625	+	1.97695i	0.590431	+	0.807088i
$7$	−3.14870			−1.19010			−0.595049	−	0.803690i	$-0.702867\pi$
$7$	−3.14870			−1.19010			−0.595049	+	0.803690i	$0.702867\pi$
$8$	1.57782	+	2.34744i	0.557843	+	0.829946i
$9$	−2.95231	−	0.532768i	−0.984105	−	0.177589i
$10$	−1.12965	−	2.95362i	−0.357226	−	0.934018i
$11$	−1.76255	−	1.28057i	−0.531429	−	0.386106i	0.289463	−	0.957189i	$-0.406523\pi$
$11$	−1.76255	−	1.28057i	−0.531429	−	0.386106i	−0.820892	+	0.571083i	$0.806523\pi$
$12$	−3.38186	−	0.750369i	−0.976258	−	0.216613i
$13$	2.63696	+	3.62946i	0.731361	+	1.00663i	0.999069	+	0.0431323i	$0.0137337\pi$
$13$	2.63696	+	3.62946i	0.731361	+	1.00663i	−0.267708	+	0.963500i	$0.586266\pi$
$14$	3.34522	−	2.93908i	0.894047	−	0.785502i
$15$	3.49608	+	1.66657i	0.902683	+	0.430307i
$16$	−3.86745	−	1.02117i	−0.966864	−	0.255293i
$17$	−1.48600	+	4.57343i	−0.360407	+	1.10922i	0.592400	+	0.805644i	$0.298181\pi$
$17$	−1.48600	+	4.57343i	−0.360407	+	1.10922i	−0.952807	+	0.303576i	$0.901819\pi$
$18$	3.63387	−	2.18975i	0.856512	−	0.516128i
$19$	−2.98189	−	0.968874i	−0.684092	−	0.222275i	−0.0537059	−	0.998557i	$-0.517103\pi$
$19$	−2.98189	−	0.968874i	−0.684092	−	0.222275i	−0.630386	+	0.776282i	$0.717103\pi$
$20$	3.95714	+	2.08352i	0.884843	+	0.465890i
$21$	−0.486197	+	5.43200i	−0.106097	+	1.18536i
$22$	3.06787	−	0.284720i	0.654072	−	0.0607024i
$23$	−4.21422	+	5.80038i	−0.878726	+	1.20946i	0.0980458	+	0.995182i	$0.468741\pi$
$23$	−4.21422	+	5.80038i	−0.878726	+	1.20946i	−0.976772	+	0.214281i	$0.931259\pi$
$24$	4.29333	−	2.35951i	0.876373	−	0.481633i
$25$	−3.78813	−	3.26345i	−0.757626	−	0.652689i
$26$	−6.18937	−	1.39458i	−1.21384	−	0.273499i
$27$	−1.37498	+	5.01093i	−0.264615	+	0.964354i
$28$	−0.810586	+	6.24502i	−0.153186	+	1.18020i
$29$	−1.17852	+	0.382923i	−0.218845	+	0.0711070i	−0.416387	−	0.909187i	$-0.636704\pi$
$29$	−1.17852	+	0.382923i	−0.218845	+	0.0711070i	0.197542	+	0.980294i	$0.436704\pi$
$30$	−5.26989	+	1.49274i	−0.962146	+	0.272536i
$31$	5.04721	+	1.63994i	0.906506	+	0.294542i	0.724920	−	0.688833i	$-0.241877\pi$
$31$	5.04721	+	1.63994i	0.906506	+	0.294542i	0.181587	+	0.983375i	$0.441877\pi$
$32$	5.06202	−	2.52507i	0.894846	−	0.446374i
$33$	−2.48134	+	2.84294i	−0.431946	+	0.494892i
$34$	−2.69022	−	6.24593i	−0.461368	−	1.07117i
$35$	2.45101	−	6.60032i	0.414296	−	1.11566i
$36$	−1.81670	+	5.71836i	−0.302784	+	0.953059i
$37$	−5.18020	−	7.12994i	−0.851620	−	1.17215i	−0.983503	−	0.180889i	$-0.942102\pi$
$37$	−5.18020	−	7.12994i	−0.851620	−	1.17215i	0.131884	−	0.991265i	$-0.457898\pi$
$38$	4.07236	−	1.75403i	0.660624	−	0.284541i
$39$	6.66856	−	3.98873i	1.06782	−	0.638708i
$40$	−6.14892	+	1.48014i	−0.972229	+	0.234030i
$41$	−3.03863	−	4.18232i	−0.474555	−	0.653169i	0.502892	−	0.864349i	$-0.332269\pi$
$41$	−3.03863	−	4.18232i	−0.474555	−	0.653169i	−0.977447	+	0.211180i	$0.932269\pi$
$42$	−4.55382	−	6.22484i	−0.702670	−	0.960514i
$43$	−0.651734			−0.0993885			−0.0496942	−	0.998764i	$-0.515825\pi$
$43$	−0.651734			−0.0993885			−0.0496942	+	0.998764i	$0.515825\pi$
$44$	−2.99358	+	3.16612i	−0.451298	+	0.477310i
$45$	3.41493	−	5.77393i	0.509067	−	0.860727i
$46$	−0.936984	−	10.0961i	−0.138151	−	1.48858i
$47$	−0.972428	+	0.315961i	−0.141843	+	0.0460877i	−0.379078	−	0.925365i	$-0.623759\pi$
$47$	−0.972428	+	0.315961i	−0.141843	+	0.0460877i	0.237235	+	0.971452i	$0.423759\pi$
$48$	−2.35886	+	6.51427i	−0.340472	+	0.940255i
$49$	2.91433			0.416332
$50$	7.07073	−	0.0688148i	0.999953	−	0.00973188i
$51$	7.66042	+	3.26977i	1.07267	+	0.457859i
$52$	7.87739	−	4.29570i	1.09240	−	0.595706i
$53$	−0.802886	−	2.47103i	−0.110285	−	0.339422i	0.880650	−	0.473768i	$-0.157107\pi$
$53$	−0.802886	−	2.47103i	−0.110285	−	0.339422i	−0.990934	+	0.134346i	$0.957107\pi$
$54$	−3.21654	−	6.60711i	−0.437715	−	0.899114i
$55$	4.05634	−	2.69785i	0.546956	−	0.363778i
$56$	−4.96808	−	7.39140i	−0.663888	−	0.987717i
$57$	−2.13190	+	4.99461i	−0.282376	+	0.661552i
$58$	0.894639	−	1.50688i	0.117472	−	0.197863i
$59$	−2.99418	+	2.17540i	−0.389809	+	0.283213i	−0.765377	−	0.643582i	$-0.777448\pi$
$59$	−2.99418	+	2.17540i	−0.389809	+	0.283213i	0.375568	+	0.926795i	$0.377448\pi$
$60$	4.20542	−	6.50495i	0.542918	−	0.839786i
$61$	10.3472	+	7.51767i	1.32482	+	0.962538i	0.999859	+	0.0168114i	$0.00535148\pi$
$61$	10.3472	+	7.51767i	1.32482	+	0.962538i	0.324962	+	0.945727i	$0.394649\pi$
$62$	−6.89298	+	2.96891i	−0.875409	+	0.377052i
$63$	9.29596	+	1.67753i	1.17118	+	0.211349i
$64$	−3.02097	+	7.40768i	−0.377622	+	0.925960i
$65$	−9.66075	+	2.70236i	−1.19827	+	0.335187i
$66$	−0.0174700	−	5.33651i	−0.00215041	−	0.656879i
$67$	−3.32333	+	10.2281i	−0.406009	+	1.24957i	0.514041	+	0.857766i	$0.328148\pi$
$67$	−3.32333	+	10.2281i	−0.406009	+	1.24957i	−0.920050	+	0.391802i	$0.871852\pi$
$68$	8.68822	+	4.12463i	1.05360	+	0.500185i
$69$	9.35582	+	8.16583i	1.12631	+	0.983051i
$70$	3.55692	+	9.30008i	0.425134	+	1.11157i
$71$	−3.91937	−	12.0626i	−0.465144	−	1.43157i	−0.858802	−	0.512308i	$-0.828790\pi$
$71$	−3.91937	−	12.0626i	−0.465144	−	1.43157i	0.393658	−	0.919257i	$-0.371210\pi$
$72$	−3.40757	−	7.77100i	−0.401586	−	0.915821i
$73$	6.85959	−	9.44142i	0.802855	−	1.10503i	−0.189532	−	0.981875i	$-0.560697\pi$
$73$	6.85959	−	9.44142i	0.802855	−	1.10503i	0.992387	−	0.123160i	$-0.0393029\pi$
$74$	12.1588	+	2.73959i	1.41343	+	0.318471i
$75$	−6.21488	+	6.03119i	−0.717632	+	0.696422i
$76$	−2.68927	+	5.66474i	−0.308480	+	0.649790i
$77$	5.54975	+	4.03213i	0.632453	+	0.459504i
$78$	−3.36157	+	10.4623i	−0.380623	+	1.18462i
$79$	10.8901	−	3.53841i	1.22523	−	0.398103i	0.376249	−	0.926519i	$-0.377214\pi$
$79$	10.8901	−	3.53841i	1.22523	−	0.398103i	0.848986	+	0.528416i	$0.177214\pi$
$80$	5.15108	−	7.31207i	0.575909	−	0.817514i
$81$	8.43232	+	3.14580i	0.936924	+	0.349533i
$82$	7.13216	+	1.60701i	0.787616	+	0.177464i
$83$	−4.25869	−	1.38373i	−0.467451	−	0.151884i	0.0658144	−	0.997832i	$-0.479035\pi$
$83$	−4.25869	−	1.38373i	−0.467451	−	0.151884i	−0.533266	+	0.845948i	$0.679035\pi$
$84$	10.6485	+	2.36269i	1.16184	+	0.257791i
$85$	−8.43011	−	6.67500i	−0.914374	−	0.724005i
$86$	0.692409	−	0.608345i	0.0746644	−	0.0655995i
$87$	0.478625	+	2.09225i	0.0513139	+	0.224313i
$88$	0.225074	−	6.15800i	0.0239930	−	0.656445i
$89$	1.83218	−	2.52177i	0.194210	−	0.267308i	−0.700795	−	0.713362i	$-0.747171\pi$
$89$	1.83218	−	2.52177i	0.194210	−	0.267308i	0.895006	+	0.446055i	$0.147171\pi$
$90$	1.76148	+	9.32187i	0.185676	+	0.982611i
$91$	−8.30300	−	11.4281i	−0.870391	−	1.19799i
$92$	10.4194	+	9.85155i	1.08629	+	1.02710i
$93$	3.60850	−	8.45400i	0.374184	−	0.876639i
$94$	0.738193	−	1.24337i	0.0761387	−	0.128244i
$95$	4.35211	−	5.49645i	0.446517	−	0.563924i
$96$	−3.57451	−	9.12266i	−0.364822	−	0.931077i
$97$	−3.13732	+	1.01938i	−0.318546	+	0.103502i	−0.463926	−	0.885874i	$-0.653560\pi$
$97$	−3.13732	+	1.01938i	−0.318546	+	0.103502i	0.145380	+	0.989376i	$0.453560\pi$
$98$	−3.09621	+	2.72031i	−0.312765	+	0.274792i
$99$	4.52136	+	4.71967i	0.454414	+	0.474345i
$100$	−7.44779	+	6.67311i	−0.744779	+	0.667311i
$101$			0.736578i			0.0732922i	0.999328	+	0.0366461i	$0.0116674\pi$
$101$			0.736578i			0.0732922i	−0.999328	+	0.0366461i	$0.988333\pi$
$102$	−11.1906	+	3.67659i	−1.10803	+	0.364037i
$103$	2.07137	+	6.37502i	0.204098	+	0.628150i	0.999749	+	0.0223945i	$0.00712898\pi$
$103$	2.07137	+	6.37502i	0.204098	+	0.628150i	−0.795651	+	0.605755i	$0.792871\pi$
$104$	−4.35931	+	11.9168i	−0.427466	+	1.16853i
$105$	−11.0081	−	5.24753i	−1.07428	−	0.512107i
$106$	3.15951	+	1.87581i	0.306879	+	0.182195i
$107$			2.15398i			0.208233i	0.994565	+	0.104116i	$0.0332014\pi$
$107$			2.15398i			0.208233i	−0.994565	+	0.104116i	$0.966799\pi$
$108$	9.58453	+	4.01707i	0.922271	+	0.386543i
$109$	−13.4159	+	9.74722i	−1.28501	+	0.933614i	−0.999692	−	0.0248185i	$-0.992099\pi$
$109$	−13.4159	+	9.74722i	−1.28501	+	0.933614i	−0.285318	+	0.958433i	$0.592099\pi$
$110$	−1.79126	+	6.65251i	−0.170790	+	0.634292i
$111$	−13.1001	+	7.83570i	−1.24341	+	0.743732i
$112$	12.1775	+	3.21537i	1.15066	+	0.303824i
$113$	12.7227	−	9.24356i	1.19685	−	0.869561i	0.202877	−	0.979204i	$-0.434971\pi$
$113$	12.7227	−	9.24356i	1.19685	−	0.869561i	0.993971	+	0.109643i	$0.0349709\pi$
$114$	−2.39714	−	7.29629i	−0.224513	−	0.683360i
$115$	−8.87834	−	13.3490i	−0.827910	−	1.24480i
$116$	0.456084	+	2.43600i	0.0423464	+	0.226177i
$117$	−5.85147	−	12.1202i	−0.540969	−	1.12051i
$118$	1.15048	−	5.10601i	0.105910	−	0.470047i
$119$	4.67896	−	14.4004i	0.428920	−	1.32008i
$120$	1.60400	+	10.8364i	0.146424	+	0.989222i
$121$	−1.93245	−	5.94748i	−0.175678	−	0.540680i
$122$	−18.0101	+	1.67147i	−1.63056	+	0.151327i
$123$	−7.68435	+	4.59631i	−0.692875	+	0.414436i
$124$	4.55192	−	9.58828i	0.408775	−	0.861053i
$125$	9.78959	−	5.40036i	0.875608	−	0.483023i
$126$	−11.4420	+	6.89486i	−1.01933	+	0.614243i
$127$	3.49604	+	2.54002i	0.310223	+	0.225390i	0.731992	−	0.681313i	$-0.238591\pi$
$127$	3.49604	+	2.54002i	0.310223	+	0.225390i	−0.421769	+	0.906703i	$0.638591\pi$
$128$	−3.70500	−	10.6899i	−0.327479	−	0.944859i
$129$	−0.100635	+	1.12434i	−0.00886045	+	0.0989927i
$130$	7.74124	−	11.8886i	0.678951	−	1.04270i
$131$	−1.63335	+	5.02693i	−0.142706	+	0.439205i	−0.996709	−	0.0810640i	$-0.974168\pi$
$131$	−1.63335	+	5.02693i	−0.142706	+	0.439205i	0.854003	+	0.520269i	$0.174168\pi$
$132$	4.99980	+	5.65326i	0.435176	+	0.492054i
$133$	9.38907	+	3.05070i	0.814136	+	0.264529i
$134$	−6.01647	−	13.9686i	−0.519744	−	1.20670i
$135$	−9.43362	−	6.78284i	−0.811916	−	0.583774i
$136$	−13.0805	+	3.72775i	−1.12164	+	0.319652i
$137$	−8.06374	+	5.85865i	−0.688932	+	0.500538i	−0.876309	−	0.481750i	$-0.840001\pi$
$137$	−8.06374	+	5.85865i	−0.688932	+	0.500538i	0.187377	+	0.982288i	$0.440001\pi$
$138$	−17.5619	+	0.0574922i	−1.49497	+	0.00489406i
$139$	−3.77253	+	5.19245i	−0.319982	+	0.440417i	−0.938462	−	0.345383i	$-0.887749\pi$
$139$	−3.77253	+	5.19245i	−0.319982	+	0.440417i	0.618480	+	0.785801i	$0.287749\pi$
$140$	−12.4598	−	6.56039i	−1.05305	−	0.554454i
$141$	0.394927	+	1.72638i	0.0332589	+	0.145387i
$142$	15.4235	+	9.15698i	1.29431	+	0.768437i
$143$		−	9.77393i		−	0.817337i
$144$	10.8739	+	5.07528i	0.906158	+	0.422940i
$145$	0.114694	−	2.76848i	0.00952485	−	0.229910i
$146$	1.52515	+	16.4336i	0.126222	+	1.36005i
$147$	0.450006	−	5.02766i	0.0371159	−	0.414675i
$148$	−15.4748	+	8.43872i	−1.27202	+	0.693659i
$149$			7.76880i			0.636445i	0.948016	+	0.318222i	$0.103086\pi$
$149$			7.76880i			0.636445i	−0.948016	+	0.318222i	$0.896914\pi$
$150$	0.973088	−	12.2087i	0.0794523	−	0.996839i
$151$		−	5.58897i		−	0.454824i	−0.973799	−	0.227412i	$-0.926974\pi$
$151$		−	5.58897i		−	0.454824i	0.973799	−	0.227412i	$-0.0730265\pi$
$152$	−2.43050	−	8.52852i	−0.197140	−	0.691754i
$153$	6.82371	−	12.7105i	0.551664	−	1.02758i
$154$	−9.65981	+	0.896498i	−0.778410	+	0.0722418i
$155$	−7.36649	+	9.30342i	−0.591691	+	0.747269i
$156$	−6.19438	−	14.2530i	−0.495947	−	1.14115i
$157$			11.7964i			0.941452i	0.882279	+	0.470726i	$0.156008\pi$
$157$			11.7964i			0.941452i	−0.882279	+	0.470726i	$0.843992\pi$
$158$	−8.26694	+	13.9244i	−0.657682	+	1.10776i
$159$	−4.38688	+	1.00355i	−0.347902	+	0.0795864i
$160$	1.35270	+	12.5766i	0.106940	+	0.994265i
$161$	13.2693	−	18.2637i	1.04577	−	1.43938i
$162$	−11.8950	+	4.52881i	−0.934556	+	0.355817i
$163$	−16.2585	+	11.8125i	−1.27347	+	0.925228i	−0.999335	−	0.0364641i	$-0.988391\pi$
$163$	−16.2585	+	11.8125i	−1.27347	+	0.925228i	−0.274132	+	0.961692i	$0.588391\pi$
$164$	−9.07731	+	4.95004i	−0.708819	+	0.386533i
$165$	−4.02786	−	7.41438i	−0.313568	−	0.577209i
$166$	5.81608	−	2.50507i	0.451416	−	0.194431i
$167$	−10.8653	−	3.53036i	−0.840784	−	0.273187i	−0.143203	−	0.989693i	$-0.545740\pi$
$167$	−10.8653	−	3.53036i	−0.840784	−	0.273187i	−0.697581	+	0.716506i	$0.745740\pi$
$168$	−13.5184	+	7.42939i	−1.04297	+	0.573190i
$169$	−2.20223	+	6.77777i	−0.169402	+	0.521367i
$170$	15.1869	−	0.777287i	1.16478	−	0.0596152i
$171$	8.28728	+	4.44907i	0.633744	+	0.340229i
$172$	−0.167779	+	1.29262i	−0.0127930	+	0.0985617i
$173$	−8.36246	−	6.07568i	−0.635786	−	0.461926i	0.222614	−	0.974907i	$-0.428541\pi$
$173$	−8.36246	−	6.07568i	−0.635786	−	0.461926i	−0.858400	+	0.512981i	$0.828541\pi$
$174$	−2.46145	−	1.77607i	−0.186602	−	0.134643i
$175$	11.9277	+	10.2756i	0.901649	+	0.776764i
$176$	5.50891	+	6.75241i	0.415250	+	0.508982i
$177$	3.29056	+	5.50133i	0.247334	+	0.413505i
$178$	0.407363	+	4.38936i	0.0305332	+	0.328997i
$179$	5.35967	+	16.4954i	0.400600	+	1.23292i	0.924514	+	0.381149i	$0.124472\pi$
$179$	5.35967	+	16.4954i	0.400600	+	1.23292i	−0.523913	+	0.851772i	$0.675528\pi$
$180$	−10.5727	−	8.25945i	−0.788041	−	0.615623i
$181$	−1.65808	+	5.10304i	−0.123244	+	0.379306i	−0.993577	−	0.113158i	$-0.963904\pi$
$181$	−1.65808	+	5.10304i	−0.123244	+	0.379306i	0.870333	+	0.492464i	$0.163904\pi$
$182$	19.4885	+	4.39111i	1.44458	+	0.325491i
$183$	14.5669	−	16.6897i	1.07681	−	1.23374i
$184$	−20.2653	−	0.740697i	−1.49398	−	0.0546049i
$185$	18.9782	−	5.30868i	1.39530	−	0.390302i
$186$	4.05747	+	12.3499i	0.297508	+	0.905537i
$187$	8.47574	−	6.15799i	0.619808	−	0.450317i
$188$	0.376328	+	2.01002i	0.0274466	+	0.146596i
$189$	4.32940	−	15.7779i	0.314918	−	1.14768i
$190$	0.506793	+	9.90186i	0.0367666	+	0.718356i
$191$	−17.5836	+	12.7752i	−1.27230	+	0.924382i	−0.999292	−	0.0376288i	$-0.988020\pi$
$191$	−17.5836	+	12.7752i	−1.27230	+	0.924382i	−0.273011	+	0.962011i	$0.588020\pi$
$192$	12.3129	+	6.35548i	0.888608	+	0.458667i
$193$		−	4.54215i		−	0.326951i	−0.986547	−	0.163476i	$-0.947730\pi$
$193$		−	4.54215i		−	0.326951i	0.986547	−	0.163476i	$-0.0522705\pi$
$194$	2.38161	−	4.01145i	0.170990	−	0.288005i
$195$	3.17025	+	17.0836i	0.227027	+	1.22338i
$196$	0.750249	−	5.78017i	0.0535892	−	0.412869i
$197$	6.54918	+	20.1563i	0.466610	+	1.43608i	0.856947	+	0.515405i	$0.172359\pi$
$197$	6.54918	+	20.1563i	0.466610	+	1.43608i	−0.390337	+	0.920672i	$0.627641\pi$
$198$	−9.20901	−	0.793882i	−0.654456	−	0.0564187i
$199$			13.2061i			0.936152i	0.883688	+	0.468076i	$0.155053\pi$
$199$			13.2061i			0.936152i	−0.883688	+	0.468076i	$0.844947\pi$
$200$	1.68377	−	14.0415i	0.119060	−	0.992887i
$201$	17.1320	+	7.31260i	1.20840	+	0.515791i
$202$	−0.687540	−	0.782548i	−0.0483752	−	0.0550599i
$203$	3.71080	−	1.20571i	0.260447	−	0.0846243i
$204$	8.45719	−	14.3516i	0.592122	−	1.00482i
$205$	11.1323	−	3.11400i	0.777515	−	0.217491i
$206$	−8.15126	−	4.83943i	−0.567925	−	0.337179i
$207$	15.5320	−	14.8793i	1.07955	−	1.03419i
$208$	−6.49201	−	16.7296i	−0.450140	−	1.15999i
$209$	4.01502	+	5.52620i	0.277725	+	0.382255i
$210$	16.5933	−	4.70020i	1.14505	−	0.324345i
$211$	4.11230	−	5.66009i	0.283102	−	0.389657i	−0.643656	−	0.765315i	$-0.722583\pi$
$211$	4.11230	−	5.66009i	0.283102	−	0.389657i	0.926758	+	0.375658i	$0.122583\pi$
$212$	−5.10764	+	0.956285i	−0.350794	+	0.0656779i
$213$	−21.4150	+	4.89891i	−1.46733	+	0.335668i
$214$	−2.01058	−	2.28841i	−0.137440	−	0.156432i
$215$	0.507322	−	1.36617i	0.0345990	−	0.0931717i
$216$	−13.9323	+	4.67866i	−0.947976	+	0.318342i
$217$	−15.8922	−	5.16368i	−1.07883	−	0.350533i
$218$	5.15490	−	22.8783i	0.349134	−	1.54951i
$219$	−15.2287	−	13.2917i	−1.02906	−	0.898171i
$220$	−4.30657	−	8.73970i	−0.290349	−	0.589231i
$221$	−20.5176	+	6.66658i	−1.38016	+	0.448443i
$222$	6.60368	−	20.5527i	0.443210	−	1.37941i
$223$	−3.65405	−	2.65482i	−0.244693	−	0.177780i	0.458678	−	0.888602i	$-0.348323\pi$
$223$	−3.65405	−	2.65482i	−0.244693	−	0.177780i	−0.703372	+	0.710822i	$0.748323\pi$
$224$	−15.9388	+	7.95070i	−1.06495	+	0.531229i
$225$	9.44509	+	11.6529i	0.629673	+	0.776861i
$226$	−4.88853	+	21.6961i	−0.325180	+	1.44320i
$227$	9.30073	−	12.8014i	0.617311	−	0.849656i	−0.379842	−	0.925051i	$-0.624022\pi$
$227$	9.30073	−	12.8014i	0.617311	−	0.849656i	0.997154	+	0.0753949i	$0.0240217\pi$
$228$	9.35730	+	5.51411i	0.619702	+	0.365181i
$229$	5.40156	+	16.6243i	0.356945	+	1.09856i	0.954873	+	0.297014i	$0.0959909\pi$
$229$	5.40156	+	16.6243i	0.356945	+	1.09856i	−0.597928	+	0.801550i	$0.704009\pi$
$230$	21.8927	+	5.89484i	1.44356	+	0.388695i
$231$	7.81300	−	8.95157i	0.514057	−	0.588970i
$232$	−2.75837	−	2.16232i	−0.181096	−	0.141963i
$233$	−0.673758	+	2.07361i	−0.0441393	+	0.135847i	−0.970698	−	0.240304i	$-0.922753\pi$
$233$	−0.673758	+	2.07361i	−0.0441393	+	0.135847i	0.926558	+	0.376151i	$0.122753\pi$
$234$	17.5300	+	7.41473i	1.14597	+	0.484716i
$235$	0.0946377	−	2.28436i	0.00617348	−	0.149015i
$236$	3.54380	+	6.49857i	0.230682	+	0.423021i
$237$	−4.42275	−	19.3335i	−0.287288	−	1.25585i
$238$	8.47069	+	19.6666i	0.549073	+	1.27480i
$239$	15.5633	+	11.3074i	1.00671	+	0.731416i	0.963516	−	0.267651i	$-0.0862473\pi$
$239$	15.5633	+	11.3074i	1.00671	+	0.731416i	0.0431918	+	0.999067i	$0.486247\pi$
$240$	−11.8191	−	10.0155i	−0.762917	−	0.646497i
$241$	−13.6390	+	9.90929i	−0.878563	+	0.638313i	−0.932871	−	0.360211i	$-0.882705\pi$
$241$	−13.6390	+	9.90929i	−0.878563	+	0.638313i	0.0543080	+	0.998524i	$0.482705\pi$
$242$	7.60459	+	4.51487i	0.488842	+	0.290227i
$243$	6.72904	−	14.0613i	0.431668	−	0.902033i
$244$	17.5740	−	18.5869i	1.12506	−	1.18990i
$245$	−2.26857	+	6.10902i	−0.144933	+	0.390291i
$246$	3.87363	−	12.0559i	0.246973	−	0.768659i
$247$	−4.34662	−	13.3775i	−0.276569	−	0.851192i
$248$	4.11393	+	14.4356i	0.261235	+	0.916660i
$249$	−3.04474	+	7.13323i	−0.192953	+	0.452050i
$250$	−5.35974	+	14.8753i	−0.338980	+	0.940794i
$251$	11.6721			0.736734			0.368367	−	0.929680i	$-0.379917\pi$
$251$	11.6721			0.736734			0.368367	+	0.929680i	$0.379917\pi$
$252$	5.72025	−	18.0054i	0.360342	−	1.13423i
$253$	14.8556	−	4.82687i	0.933962	−	0.303463i
$254$	−6.08514	+	0.564744i	−0.381816	+	0.0354352i
$255$	−12.8171	+	13.5125i	−0.802638	+	0.846188i
$256$	13.9144	+	7.89868i	0.869651	+	0.493668i
$257$	−20.2519			−1.26328			−0.631639	−	0.775262i	$-0.717618\pi$
$257$	−20.2519			−1.26328			−0.631639	+	0.775262i	$0.717618\pi$
$258$	−0.942572	−	1.28845i	−0.0586820	−	0.0802153i
$259$	16.3109	+	22.4500i	1.01351	+	1.39498i
$260$	2.87275	+	19.8565i	0.178160	+	1.23144i
$261$	3.68336	−	0.502633i	0.227994	−	0.0311122i
$262$	−2.95697	−	6.86527i	−0.182682	−	0.424138i
$263$	−5.07241	−	6.98157i	−0.312778	−	0.430502i	0.623467	−	0.781850i	$-0.285724\pi$
$263$	−5.07241	−	6.98157i	−0.312778	−	0.430502i	−0.936245	+	0.351348i	$0.885724\pi$
$264$	−10.5887	−	1.33916i	−0.651692	−	0.0824193i
$265$	5.80476	+	0.240483i	0.356583	+	0.0147727i
$266$	−12.8227	+	5.52291i	−0.786207	+	0.338631i
$267$	−4.06754	−	3.55018i	−0.248929	−	0.217267i
$268$	19.4306	+	9.22444i	1.18691	+	0.563473i
$269$	−23.6312	−	7.67824i	−1.44082	−	0.468150i	−0.518666	−	0.854977i	$-0.673571\pi$
$269$	−23.6312	−	7.67824i	−1.44082	−	0.468150i	−0.922153	+	0.386826i	$0.873571\pi$
$270$	16.3537	−	1.59941i	0.995251	−	0.0973373i
$271$	23.5753	−	7.66008i	1.43210	−	0.465316i	0.512673	−	0.858584i	$-0.328655\pi$
$271$	23.5753	−	7.66008i	1.43210	−	0.465316i	0.919424	+	0.393268i	$0.128655\pi$
$272$	10.4173	−	16.1701i	0.631641	−	0.980455i
$273$	−20.9973	+	12.5593i	−1.27082	+	0.760125i
$274$	3.09840	−	13.7512i	0.187181	−	0.830740i
$275$	2.49771	+	10.6030i	0.150617	+	0.639382i
$276$	18.6043	−	16.4538i	1.11985	−	0.990404i
$277$	2.68838	−	3.70024i	0.161529	−	0.222326i	−0.720579	−	0.693373i	$-0.756124\pi$
$277$	2.68838	−	3.70024i	0.161529	−	0.222326i	0.882108	+	0.471047i	$0.156124\pi$
$278$	−0.838779	−	9.03789i	−0.0503066	−	0.542057i
$279$	−14.0273	−	7.53061i	−0.839790	−	0.450846i
$280$	19.3611	−	4.66051i	1.15705	−	0.278518i
$281$	9.45731	+	3.07287i	0.564176	+	0.183312i	0.577199	−	0.816603i	$-0.304146\pi$
$281$	9.45731	+	3.07287i	0.564176	+	0.183312i	−0.0130233	+	0.999915i	$0.504146\pi$
$282$	−2.03102	−	1.46549i	−0.120945	−	0.0872685i
$283$	−0.948172	+	2.91817i	−0.0563630	+	0.173467i	−0.975275	−	0.220996i	$-0.929069\pi$
$283$	−0.948172	+	2.91817i	−0.0563630	+	0.173467i	0.918912	+	0.394463i	$0.129069\pi$
$284$	−24.9335	+	4.66820i	−1.47953	+	0.277007i
$285$	−8.81021	−	8.35678i	−0.521872	−	0.495013i
$286$	9.12323	+	10.3839i	0.539468	+	0.614015i
$287$	9.56776	+	13.1689i	0.564767	+	0.777335i
$288$	−16.2899	+	4.75793i	−0.959894	+	0.280364i
$289$	−4.95479	−	3.59987i	−0.291458	−	0.211757i
$290$	2.46232	+	3.04833i	0.144592	+	0.179004i
$291$	1.27414	+	5.56976i	0.0746915	+	0.326505i
$292$	−16.9599	−	16.0356i	−0.992501	−	0.938413i
$293$	−2.31737			−0.135382			−0.0676912	−	0.997706i	$-0.521563\pi$
$293$	−2.31737			−0.135382			−0.0676912	+	0.997706i	$0.521563\pi$
$294$	4.21486	+	5.76149i	0.245815	+	0.336017i
$295$	−2.22935	−	7.96978i	−0.129798	−	0.464019i
$296$	8.56370	−	23.4100i	0.497755	−	1.36068i
$297$	8.84032	−	7.07127i	0.512967	−	0.410317i
$298$	−7.25159	−	8.25366i	−0.420073	−	0.478121i
$299$	−32.1650			−1.86015
$300$	10.3621	+	13.8790i	0.598257	+	0.801304i
$301$	2.05212			0.118282
$302$	5.21689	+	5.93779i	0.300198	+	0.341681i
$303$	1.27071	+	0.113736i	0.0730004	+	0.00653398i
$304$	10.5429	+	6.79210i	0.604678	+	0.389554i
$305$	−23.8130	+	15.8379i	−1.36353	+	0.906875i
$306$	4.61473	+	19.8732i	0.263806	+	1.13608i
$307$	−28.8797			−1.64825			−0.824126	−	0.566407i	$-0.808333\pi$
$307$	−28.8797			−1.64825			−0.824126	+	0.566407i	$0.808333\pi$
$308$	9.42588	−	9.96916i	0.537089	−	0.568046i
$309$	11.3177	−	2.58906i	0.643844	−	0.147286i
$310$	−0.857810	−	16.7601i	−0.0487203	−	0.951911i
$311$	18.7272	+	13.6061i	1.06192	+	0.771533i	0.974443	−	0.224633i	$-0.0721183\pi$
$311$	18.7272	+	13.6061i	1.06192	+	0.771533i	0.0874808	+	0.996166i	$0.472118\pi$
$312$	19.8851	+	9.36058i	1.12577	+	0.529938i
$313$	3.63733	+	5.00635i	0.205594	+	0.282976i	0.899346	−	0.437239i	$-0.144043\pi$
$313$	3.63733	+	5.00635i	0.205594	+	0.282976i	−0.693752	+	0.720214i	$0.744043\pi$
$314$	−11.0110	−	12.5326i	−0.621388	−	0.707255i
$315$	−10.7526	+	18.1804i	−0.605840	+	1.02435i
$316$	−4.21446	−	22.5100i	−0.237082	−	1.26628i
$317$	9.58331	−	29.4944i	0.538252	−	1.65657i	−0.198263	−	0.980149i	$-0.563530\pi$
$317$	9.58331	−	29.4944i	0.538252	−	1.65657i	0.736515	−	0.676421i	$-0.236470\pi$
$318$	3.72393	−	5.16100i	0.208828	−	0.289415i
$319$	2.56756	+	0.834249i	0.143756	+	0.0467090i
$320$	−13.1764	−	12.0988i	−0.736584	−	0.676346i
$321$	3.71594	+	0.332599i	0.207404	+	0.0185639i
$322$	2.95028	+	31.7895i	0.164413	+	1.77156i
$323$	8.86216	−	12.1977i	0.493104	−	0.678699i
$324$	8.41003	−	15.9145i	0.467224	−	0.884139i
$325$	1.85541	−	22.3545i	0.102920	−	1.24000i
$326$	6.24715	−	27.7259i	0.345998	−	1.53559i
$327$	14.7439	+	24.6496i	0.815339	+	1.36312i
$328$	5.02335	−	13.7320i	0.277368	−	0.758221i
$329$	3.06189	−	0.994867i	0.168807	−	0.0548488i
$330$	11.2000	+	4.11742i	0.616540	+	0.226657i
$331$	−12.3747	−	4.02077i	−0.680173	−	0.221002i	−0.0515019	−	0.998673i	$-0.516401\pi$
$331$	−12.3747	−	4.02077i	−0.680173	−	0.221002i	−0.628671	+	0.777671i	$0.716401\pi$
$332$	−3.84077	+	8.09030i	−0.210790	+	0.444013i
$333$	11.4950	+	23.8097i	0.629921	+	1.30476i
$334$	14.8388	−	6.39128i	0.811941	−	0.349715i
$335$	−18.8533	−	14.9281i	−1.03007	−	0.815612i
$336$	7.42735	−	20.5115i	0.405195	−	1.11899i
$337$	13.4721	+	18.5428i	0.733872	+	1.01009i	0.998948	+	0.0458606i	$0.0146030\pi$
$337$	13.4721	+	18.5428i	0.733872	+	1.01009i	−0.265076	+	0.964228i	$0.585397\pi$
$338$	−3.98687	−	9.25640i	−0.216857	−	0.503482i
$339$	−13.9820	−	23.3759i	−0.759400	−	1.26960i
$340$	−15.4091	+	15.0016i	−0.835678	+	0.813575i
$341$	−6.79592	−	9.35379i	−0.368020	−	0.506536i
$342$	−12.9574	+	3.00881i	−0.700655	+	0.162698i
$343$	12.8646			0.694621
$344$	−1.02832	−	1.52991i	−0.0554432	−	0.0824871i
$345$	−24.4000	+	13.2553i	−1.31365	+	0.713640i
$346$	14.5556	−	1.35086i	0.782512	−	0.0726226i
$347$	27.6581	−	8.98666i	1.48477	−	0.482429i	0.549232	−	0.835670i	$-0.314920\pi$
$347$	27.6581	−	8.98666i	1.48477	−	0.482429i	0.935533	+	0.353240i	$0.114920\pi$
$348$	4.27290	−	0.410668i	0.229052	−	0.0220141i
$349$	5.92600			0.317212			0.158606	−	0.987342i	$-0.449300\pi$
$349$	5.92600			0.317212			0.158606	+	0.987342i	$0.449300\pi$
$350$	−22.2636	+	0.216677i	−1.19004	+	0.0115819i
$351$	−21.8128	+	8.22319i	−1.16428	+	0.438921i
$352$	−12.1556	−	2.03169i	−0.647896	−	0.108289i
$353$	2.48576	+	7.65037i	0.132303	+	0.407188i	0.995161	−	0.0982593i	$-0.0313274\pi$
$353$	2.48576	+	7.65037i	0.132303	+	0.407188i	−0.862857	+	0.505447i	$0.831327\pi$
$354$	−8.63101	−	2.77318i	−0.458733	−	0.147393i
$355$	28.3365	+	1.17394i	1.50395	+	0.0623064i
$356$	−4.52993	−	4.28306i	−0.240086	−	0.227002i
$357$	−24.1204	−	10.2955i	−1.27659	−	0.544897i
$358$	−21.0913	−	12.5220i	−1.11471	−	0.661808i
$359$	1.50430	−	1.09294i	0.0793940	−	0.0576831i	−0.547380	−	0.836884i	$-0.684375\pi$
$359$	1.50430	−	1.09294i	0.0793940	−	0.0576831i	0.626774	+	0.779201i	$0.284375\pi$
$360$	18.9421	−	1.09388i	0.998337	−	0.0576523i
$361$	−7.41839	−	5.38978i	−0.390442	−	0.283672i
$362$	−3.00175	−	6.96922i	−0.157768	−	0.366294i
$363$	−10.5587	+	2.41542i	−0.554189	+	0.126777i
$364$	−24.8036	+	13.5259i	−1.30006	+	0.708948i
$365$	14.4515	+	21.7285i	0.756426	+	1.13732i
$366$	0.102559	+	31.3284i	0.00536085	+	1.63756i
$367$	−0.121948	+	0.375316i	−0.00636561	+	0.0195913i	−0.954189	−	0.299205i	$-0.903279\pi$
$367$	−0.121948	+	0.375316i	−0.00636561	+	0.0195913i	0.947823	+	0.318796i	$0.103279\pi$
$368$	22.2215	−	18.1293i	1.15838	−	0.945053i
$369$	6.74280	+	13.9664i	0.351016	+	0.727063i
$370$	−15.2073	+	23.3547i	−0.790592	+	1.21415i
$371$	2.52805	+	7.78053i	0.131250	+	0.403945i
$372$	−15.8384	−	9.33331i	−0.821182	−	0.483910i
$373$	−11.2377	+	15.4674i	−0.581868	+	0.800872i	−0.993899	−	0.110297i	$-0.964820\pi$
$373$	−11.2377	+	15.4674i	−0.581868	+	0.800872i	0.412031	+	0.911170i	$0.364820\pi$
$374$	−3.25670	+	14.4538i	−0.168400	+	0.747388i
$375$	−7.80483	−	17.7224i	−0.403039	−	0.915183i
$376$	−2.27602	−	1.78419i	−0.117377	−	0.0920126i
$377$	−4.49751	−	3.26763i	−0.231633	−	0.168291i
$378$	10.1279	+	20.8038i	0.520924	+	1.07003i
$379$	−3.28955	+	1.06884i	−0.168973	+	0.0549027i	−0.392282	−	0.919845i	$-0.628314\pi$
$379$	−3.28955	+	1.06884i	−0.168973	+	0.0549027i	0.223309	+	0.974748i	$0.428314\pi$
$380$	−9.78107	−	10.0468i	−0.501758	−	0.515390i
$381$	4.92175	−	5.63899i	0.252149	−	0.288894i
$382$	6.75628	−	29.9855i	0.345681	−	1.53419i
$383$	18.3405	+	5.95919i	0.937156	+	0.304500i	0.737486	−	0.675363i	$-0.236013\pi$
$383$	18.3405	+	5.95919i	0.937156	+	0.304500i	0.199670	+	0.979863i	$0.436013\pi$
$384$	−19.0137	+	4.74105i	−0.970291	+	0.241941i
$385$	−12.7722	+	8.49472i	−0.650931	+	0.432931i
$386$	4.23976	+	4.82563i	0.215798	+	0.245618i
$387$	1.92412	+	0.347223i	0.0978087	+	0.0176503i
$388$	1.21414	+	6.48486i	0.0616385	+	0.329219i
$389$	−9.43895	+	12.9916i	−0.478574	+	0.658700i	−0.978230	−	0.207524i	$-0.933460\pi$
$389$	−9.43895	+	12.9916i	−0.478574	+	0.658700i	0.499656	+	0.866224i	$0.333460\pi$
$390$	−19.3143	−	15.1906i	−0.978020	−	0.769204i
$391$	−20.2653	−	27.8928i	−1.02486	−	1.41060i
$392$	4.59828	+	6.84121i	0.232248	+	0.345534i
$393$	8.42002	+	3.59399i	0.424734	+	0.181293i
$394$	−25.7723	−	15.3011i	−1.29839	−	0.770859i
$395$	−1.05984	+	25.5823i	−0.0533262	+	1.28718i
$396$	10.5248	−	7.75249i	0.528890	−	0.389577i
$397$	−0.716276	+	0.232732i	−0.0359489	+	0.0116805i	−0.326936	−	0.945046i	$-0.606016\pi$
$397$	−0.716276	+	0.232732i	−0.0359489	+	0.0116805i	0.290987	+	0.956727i	$0.406016\pi$
$398$	−12.3269	−	14.0303i	−0.617890	−	0.703273i
$399$	6.71270	−	15.7265i	0.336056	−	0.787312i
$400$	11.3179	+	16.4896i	0.565894	+	0.824478i
$401$			8.21552i			0.410264i	0.978734	+	0.205132i	$0.0657623\pi$
$401$			8.21552i			0.410264i	−0.978734	+	0.205132i	$0.934238\pi$
$402$	−25.0270	+	8.22243i	−1.24823	+	0.410098i
$403$	7.35720	+	22.6431i	0.366488	+	1.12794i
$404$	1.46090	+	0.189621i	0.0726825	+	0.00943399i
$405$	−13.1581	+	15.2271i	−0.653831	+	0.756640i
$406$	−2.81695	+	4.74471i	−0.139803	+	0.235476i
$407$			19.2005i			0.951733i
$408$	4.41116	+	23.1415i	0.218385	+	1.14567i
$409$	26.4187	−	19.1943i	1.30632	−	0.949096i	0.306323	−	0.951928i	$-0.400901\pi$
$409$	26.4187	−	19.1943i	1.30632	−	0.949096i	0.999996	+	0.00283185i	$0.000901408\pi$
$410$	−8.92042	+	13.6995i	−0.440548	+	0.676572i
$411$	8.86194	+	14.8158i	0.437127	+	0.730812i
$412$	13.1772	−	2.46713i	0.649195	−	0.121547i
$413$	9.42778	−	6.84969i	0.463911	−	0.337051i
$414$	−2.61259	+	30.3059i	−0.128402	+	1.48945i
$415$	6.21562	−	7.84995i	0.305113	−	0.385339i
$416$	22.5130	+	11.7139i	1.10379	+	0.574321i
$417$	8.37525	+	7.30997i	0.410138	+	0.357971i
$418$	−9.42390	−	2.12338i	−0.460938	−	0.103858i
$419$	0.230406	−	0.709116i	0.0112561	−	0.0346426i	−0.945271	−	0.326287i	$-0.894202\pi$
$419$	0.230406	−	0.709116i	0.0112561	−	0.0346426i	0.956527	+	0.291644i	$0.0942024\pi$
$420$	−13.2416	+	20.4822i	−0.646125	+	0.999427i
$421$	4.36803	+	13.4434i	0.212885	+	0.655192i	0.999297	+	0.0374897i	$0.0119362\pi$
$421$	4.36803	+	13.4434i	0.212885	+	0.655192i	−0.786412	+	0.617702i	$0.788064\pi$
$422$	0.914321	+	9.85186i	0.0445085	+	0.479581i
$423$	3.03925	−	0.414737i	0.147773	−	0.0201652i
$424$	4.53379	−	5.78356i	0.220180	−	0.280875i
$425$	20.5543	−	12.4753i	0.997030	−	0.605140i
$426$	18.1788	−	25.1940i	0.880765	−	1.22065i
$427$	−32.5802	−	23.6709i	−1.57667	−	1.14551i
$428$	4.27212	+	0.554509i	0.206501	+	0.0268032i
$429$	−16.8615	−	1.50921i	−0.814083	−	0.0728653i
$430$	0.736230	+	1.92498i	0.0355041	+	0.0928306i
$431$	2.59889	−	7.99856i	0.125184	−	0.385277i	−0.868750	−	0.495250i	$-0.835076\pi$
$431$	2.59889	−	7.99856i	0.125184	−	0.385277i	0.993935	+	0.109973i	$0.0350765\pi$
$432$	10.4347	−	17.9755i	0.502040	−	0.864845i
$433$	−37.6095	−	12.2201i	−1.80739	−	0.587258i	−0.807399	−	0.590006i	$-0.799125\pi$
$433$	−37.6095	−	12.2201i	−1.80739	−	0.587258i	−0.999996	+	0.00274802i	$0.999125\pi$
$434$	21.7039	−	9.34820i	1.04182	−	0.448728i
$435$	−4.75835	−	0.625352i	−0.228145	−	0.0299833i
$436$	15.8786	+	29.1179i	0.760445	+	1.39449i
$437$	18.1862	−	13.2130i	0.869963	−	0.632065i
$438$	28.5860	−	0.0935814i	1.36589	−	0.00447149i
$439$	12.6738	−	17.4441i	0.604890	−	0.832559i	−0.391255	−	0.920282i	$-0.627959\pi$
$439$	12.6738	−	17.4441i	0.604890	−	0.832559i	0.996145	+	0.0877231i	$0.0279591\pi$
$440$	12.7332	+	5.26530i	0.607032	+	0.251013i
$441$	−8.60401	−	1.55266i	−0.409715	−	0.0739362i
$442$	15.5754	−	26.2343i	0.740846	−	1.24784i
$443$			17.3000i			0.821948i	0.911647	+	0.410974i	$0.134811\pi$
$443$			17.3000i			0.821948i	−0.911647	+	0.410974i	$0.865189\pi$
$444$	12.1686	+	27.9995i	0.577497	+	1.32880i
$445$	3.85995	+	5.80361i	0.182979	+	0.275117i
$446$	6.36018	−	0.590269i	0.301163	−	0.0279500i
$447$	13.4024	+	1.19959i	0.633910	+	0.0567388i
$448$	9.51215	−	23.3246i	0.449407	−	1.10198i
$449$			5.83429i			0.275337i	0.990478	+	0.137669i	$0.0439609\pi$
$449$			5.83429i			0.275337i	−0.990478	+	0.137669i	$0.956039\pi$
$450$	−20.9117	−	3.56390i	−0.985786	−	0.168004i
$451$			11.2627i			0.530342i
$452$	−15.0581	−	27.6133i	−0.708272	−	1.29882i
$453$	−9.64184	−	0.863003i	−0.453013	−	0.0405474i
$454$	2.06791	+	22.2819i	0.0970519	+	1.04574i
$455$	30.4188	−	8.50893i	1.42606	−	0.398905i
$456$	−15.0883	+	2.87609i	−0.706575	+	0.134685i
$457$			2.37590i			0.111140i	0.998455	+	0.0555699i	$0.0176976\pi$
$457$			2.37590i			0.111140i	−0.998455	+	0.0555699i	$0.982302\pi$
$458$	−21.2562	−	12.6199i	−0.993237	−	0.589688i
$459$	−20.8739	−	13.7346i	−0.974312	−	0.641077i
$460$	−28.7615	+	14.1725i	−1.34101	+	0.660795i
$461$	8.59164	−	11.8254i	0.400152	−	0.550762i	−0.560630	−	0.828067i	$-0.689441\pi$
$461$	8.59164	−	11.8254i	0.400152	−	0.550762i	0.960782	+	0.277304i	$0.0894409\pi$
$462$	0.0550080	+	16.8031i	0.00255920	+	0.781751i
$463$	−5.25785	+	3.82005i	−0.244353	+	0.177533i	−0.703220	−	0.710972i	$-0.748255\pi$
$463$	−5.25785	+	3.82005i	−0.244353	+	0.177533i	0.458867	+	0.888505i	$0.348255\pi$
$464$	4.94889	−	0.277468i	0.229746	−	0.0128811i
$465$	14.9124	+	14.1449i	0.691544	+	0.655953i
$466$	−1.21975	−	2.83193i	−0.0565040	−	0.131187i
$467$	21.8778	+	7.10854i	1.01239	+	0.328944i	0.767804	−	0.640685i	$-0.221349\pi$
$467$	21.8778	+	7.10854i	1.01239	+	0.328944i	0.244581	+	0.969629i	$0.421349\pi$
$468$	−25.5451	+	8.48543i	−1.18082	+	0.392239i
$469$	10.4642	−	32.2054i	0.483190	−	1.48711i
$470$	2.03173	+	2.51526i	0.0937168	+	0.116020i
$471$	20.3505	+	1.82150i	0.937704	+	0.0839302i
$472$	−9.83090	−	3.59628i	−0.452504	−	0.165532i
$473$	1.14871	+	0.834590i	0.0528180	+	0.0383745i
$474$	22.7452	+	16.4118i	1.04472	+	0.753820i
$475$	8.13391	+	13.4014i	0.373209	+	0.614900i
$476$	−27.3566	−	12.9872i	−1.25389	−	0.595269i
$477$	1.05389	+	7.72300i	0.0482541	+	0.353612i
$478$	−27.0893	+	2.51407i	−1.23903	+	0.114991i
$479$	−2.55938	−	7.87696i	−0.116941	−	0.359908i	0.875406	−	0.483389i	$-0.160594\pi$
$479$	−2.55938	−	7.87696i	−0.116941	−	0.359908i	−0.992347	+	0.123481i	$0.960594\pi$
$480$	21.9054	−	0.391643i	0.999840	−	0.0178760i
$481$	12.2179	−	37.6027i	0.557087	−	1.71454i
$482$	5.24061	−	23.2587i	0.238703	−	1.05940i
$483$	−29.4587	−	25.7118i	−1.34042	−	1.16993i
$484$	−12.2935	+	2.30167i	−0.558795	+	0.104621i
$485$	0.305327	−	7.36995i	0.0138642	−	0.334652i
$486$	5.97617	+	21.2199i	0.271084	+	0.962556i
$487$	−22.1343	+	16.0815i	−1.00300	+	0.728722i	−0.962729	−	0.270467i	$-0.912822\pi$
$487$	−22.1343	+	16.0815i	−1.00300	+	0.728722i	−0.0402704	+	0.999189i	$0.512822\pi$
$488$	−1.32131	+	36.1509i	−0.0598131	+	1.63648i
$489$	17.8679	+	29.8725i	0.808015	+	1.35088i
$490$	−3.29216	−	8.60783i	−0.148725	−	0.388862i
$491$	1.14907	−	0.834847i	0.0518567	−	0.0376761i	−0.561555	−	0.827439i	$-0.689797\pi$
$491$	1.14907	−	0.834847i	0.0518567	−	0.0376761i	0.613412	+	0.789763i	$0.289797\pi$
$492$	7.13794	+	16.4241i	0.321803	+	0.740456i
$493$		−	5.95888i		−	0.268375i
$494$	17.1048	+	10.1552i	0.769583	+	0.456904i
$495$	−13.4129	+	5.80381i	−0.602865	+	0.260862i
$496$	−17.8452	−	11.4965i	−0.801274	−	0.516207i
$497$	12.3409	+	37.9815i	0.553567	+	1.70370i
$498$	−3.42357	−	10.4205i	−0.153414	−	0.466952i
$499$			3.74440i			0.167622i	0.996482	+	0.0838111i	$0.0267092\pi$
$499$			3.74440i			0.167622i	−0.996482	+	0.0838111i	$0.973291\pi$
$500$	−8.19069	−	20.8066i	−0.366299	−	0.930497i
$501$	−7.76815	+	18.1992i	−0.347055	+	0.813082i
$502$	−12.4005	+	10.8950i	−0.553463	+	0.486268i
$503$	−13.7647	+	4.47241i	−0.613736	+	0.199415i	−0.599357	−	0.800482i	$-0.704577\pi$
$503$	−13.7647	+	4.47241i	−0.613736	+	0.199415i	−0.0143790	+	0.999897i	$0.504577\pi$
$504$	10.7294	+	24.4686i	0.477927	+	1.08992i
$505$	−1.54402	−	0.573366i	−0.0687078	−	0.0255144i
$506$	−11.2772	+	18.9947i	−0.501333	+	0.844417i
$507$	11.3527	+	4.84576i	0.504189	+	0.215208i
$508$	5.93778	−	6.28002i	0.263446	−	0.278631i
$509$	−14.0390	−	19.3230i	−0.622266	−	0.856475i	0.375250	−	0.926924i	$-0.377557\pi$
$509$	−14.0390	−	19.3230i	−0.622266	−	0.856475i	−0.997515	+	0.0704484i	$0.977557\pi$
$510$	1.00409	−	26.3197i	0.0444618	−	1.16546i
$511$	−21.5988	+	29.7282i	−0.955475	+	1.31510i
$512$	−22.1557	+	4.59641i	−0.979151	+	0.203135i
$513$	8.95499	−	13.6098i	0.395373	−	0.600890i
$514$	21.5158	−	18.9036i	0.949023	−	0.833803i
$515$	−14.9757	−	0.620424i	−0.659910	−	0.0273391i
$516$	2.20407	+	0.489041i	0.0970287	+	0.0215288i
$517$	2.11857	+	0.688364i	0.0931744	+	0.0302742i
$518$	−38.2843	−	8.62616i	−1.68212	−	0.379012i
$519$	−11.7728	+	13.4884i	−0.516767	+	0.592074i
$520$	−21.5866	−	18.4142i	−0.946633	−	0.807517i
$521$	1.04897	−	0.340832i	0.0459563	−	0.0149321i	−0.285949	−	0.958245i	$-0.592309\pi$
$521$	1.04897	−	0.340832i	0.0459563	−	0.0149321i	0.331905	+	0.943313i	$0.392309\pi$
$522$	−3.44407	+	3.97214i	−0.150743	+	0.173856i
$523$	−31.1401	−	22.6246i	−1.36166	−	0.989304i	−0.998337	−	0.0576413i	$-0.981642\pi$
$523$	−31.1401	−	22.6246i	−1.36166	−	0.989304i	−0.363323	−	0.931663i	$-0.618358\pi$
$524$	9.54974	+	4.53363i	0.417182	+	0.198052i
$525$	19.5688	−	18.9904i	0.854053	−	0.828810i
$526$	11.9058	+	2.68258i	0.519116	+	0.116966i
$527$	−15.0003	+	20.6461i	−0.653423	+	0.899360i
$528$	12.4996	−	8.46106i	0.543975	−	0.368220i
$529$	−8.77735	−	27.0139i	−0.381624	−	1.17452i
$530$	−6.39151	+	5.16281i	−0.277629	+	0.224258i
$531$	9.99874	−	4.82726i	0.433909	−	0.209485i
$532$	8.46771	−	17.8366i	0.367122	−	0.773314i
$533$	7.16683	−	22.0572i	0.310430	−	0.955405i
$534$	7.63523	−	0.0249953i	0.330409	−	0.00108165i
$535$	−4.51517	−	1.67669i	−0.195208	−	0.0724898i
$536$	−29.2536	+	8.33685i	−1.26356	+	0.360097i
$537$	29.2846	−	6.69917i	1.26372	−	0.289091i
$538$	32.2731	−	13.9005i	1.39139	−	0.599293i
$539$	−5.13665	−	3.73200i	−0.221251	−	0.160748i
$540$	−15.8814	+	16.9641i	−0.683425	+	0.730021i
$541$	−10.0337	+	7.28994i	−0.431384	+	0.313419i	−0.782202	−	0.623025i	$-0.785904\pi$
$541$	−10.0337	+	7.28994i	−0.431384	+	0.313419i	0.350818	+	0.936444i	$0.385904\pi$
$542$	−17.8965	+	30.1439i	−0.768722	+	1.29479i
$543$	8.54750	+	3.64841i	0.366808	+	0.156568i
$544$	4.02611	+	26.9030i	0.172618	+	1.15346i
$545$	−9.98897	−	35.7099i	−0.427880	−	1.52964i
$546$	10.5846	−	32.9426i	0.452979	−	1.40981i
$547$	1.95152	+	6.00616i	0.0834410	+	0.256805i	0.984069	−	0.177785i	$-0.0568932\pi$
$547$	1.95152	+	6.00616i	0.0834410	+	0.256805i	−0.900628	+	0.434590i	$0.856893\pi$
$548$	9.54394	+	17.5015i	0.407697	+	0.747629i
$549$	−26.5429	−	27.7072i	−1.13283	−	1.18251i
$550$	−12.5507	−	8.93327i	−0.535162	−	0.380916i
$551$	3.88521			0.165515
$552$	−4.40702	+	34.8465i	−0.187575	+	1.48316i
$553$	−34.2897	+	11.1414i	−1.45815	+	0.473781i
$554$	0.597731	+	6.44058i	0.0253952	+	0.273634i
$555$	−6.22784	−	33.5600i	−0.264357	−	1.42454i
$556$	9.32732	+	8.81902i	0.395567	+	0.374010i
$557$	−43.8286			−1.85708			−0.928539	−	0.371236i	$-0.878934\pi$
$557$	−43.8286			−1.85708			−0.928539	+	0.371236i	$0.878934\pi$
$558$	21.9320	−	5.09279i	0.928454	−	0.215595i
$559$	−1.71860	−	2.36544i	−0.0726889	−	0.100048i
$560$	−16.2192	+	23.0235i	−0.685388	+	0.972921i
$561$	−9.31472	−	15.5728i	−0.393268	−	0.657485i
$562$	−12.9158	+	5.56305i	−0.544822	+	0.234663i
$563$	−11.8810	−	16.3529i	−0.500726	−	0.689191i	0.481595	−	0.876394i	$-0.340058\pi$
$563$	−11.8810	−	16.3529i	−0.500726	−	0.689191i	−0.982321	+	0.187203i	$0.940058\pi$
$564$	3.52570	−	0.338854i	0.148459	−	0.0142683i
$565$	9.47281	+	33.8646i	0.398524	+	1.42470i
$566$	−1.71655	−	3.98535i	−0.0721519	−	0.167517i
$567$	−26.5509	−	9.90518i	−1.11503	−	0.415979i
$568$	22.1322	−	28.2331i	0.928645	−	1.18463i
$569$	6.83824	+	2.22188i	0.286674	+	0.0931460i	0.448824	−	0.893620i	$-0.351843\pi$
$569$	6.83824	+	2.22188i	0.286674	+	0.0931460i	−0.162150	+	0.986766i	$0.551843\pi$
$570$	17.1605	+	0.654668i	0.718774	+	0.0274210i
$571$	8.99158	−	2.92154i	0.376286	−	0.122263i	−0.114767	−	0.993392i	$-0.536612\pi$
$571$	8.99158	−	2.92154i	0.376286	−	0.122263i	0.491053	+	0.871130i	$0.336612\pi$
$572$	−19.3852	−	2.51615i	−0.810538	−	0.105206i
$573$	19.3241	+	32.3070i	0.807276	+	1.34965i
$574$	−22.4571	−	5.05999i	−0.937340	−	0.211200i
$575$	34.8932	−	8.21971i	1.45515	−	0.342785i
$576$	12.8654	−	20.2603i	0.536060	−	0.844180i
$577$	13.2052	−	18.1754i	0.549740	−	0.756653i	−0.440237	−	0.897882i	$-0.645105\pi$
$577$	13.2052	−	18.1754i	0.549740	−	0.756653i	0.989977	+	0.141229i	$0.0451054\pi$
$578$	8.62424	−	0.800389i	0.358721	−	0.0332918i
$579$	−7.83591	−	0.701361i	−0.325649	−	0.0291476i
$580$	−5.46138	−	0.940184i	−0.226771	−	0.0390390i
$581$	13.4093	+	4.35696i	0.556313	+	0.180757i
$582$	−6.55262	−	4.72806i	−0.271615	−	0.195984i
$583$	−1.74919	+	5.38347i	−0.0724442	+	0.222960i
$584$	32.9864	+	1.20565i	1.36499	+	0.0498902i
$585$	29.9613	−	2.83128i	1.23875	−	0.117059i
$586$	2.46200	−	2.16310i	0.101704	−	0.0893566i
$587$	−23.2299	−	31.9733i	−0.958802	−	1.31968i	−0.947505	−	0.319741i	$-0.896404\pi$
$587$	−23.2299	−	31.9733i	−0.958802	−	1.31968i	−0.0112970	−	0.999936i	$-0.503596\pi$
$588$	−9.85583	−	2.18682i	−0.406448	−	0.0901830i
$589$	−13.4613	−	9.78023i	−0.554664	−	0.402987i
$590$	9.80768	+	6.38625i	0.403776	+	0.262918i
$591$	35.7840	−	8.18598i	1.47196	−	0.336726i
$592$	12.7533	+	32.8646i	0.524157	+	1.35073i
$593$	−13.3435			−0.547953			−0.273977	−	0.961736i	$-0.588339\pi$
$593$	−13.3435			−0.547953			−0.273977	+	0.961736i	$0.588339\pi$
$594$	−2.79155	+	15.7644i	−0.114539	+	0.646820i
$595$	26.5439	+	21.0176i	1.08819	+	0.861637i
$596$	15.4083	+	1.99996i	0.631150	+	0.0819215i
$597$	22.7825	+	2.03917i	0.932425	+	0.0834577i
$598$	34.1725	−	30.0236i	1.39742	−	1.22776i
$599$	10.8222			0.442182			0.221091	−	0.975253i	$-0.429038\pi$
$599$	10.8222			0.442182			0.221091	+	0.975253i	$0.429038\pi$
$600$	−23.9638	−	5.07294i	−0.978319	−	0.207102i
$601$	7.06828			0.288321			0.144160	−	0.989554i	$-0.453952\pi$
$601$	7.06828			0.288321			0.144160	+	0.989554i	$0.453952\pi$
$602$	−2.18019	+	1.91550i	−0.0888579	+	0.0780698i
$603$	15.2607	−	28.4261i	0.621465	−	1.15760i
$604$	−11.0850	−	1.43880i	−0.451041	−	0.0585438i
$605$	13.9714	+	0.578815i	0.568018	+	0.0235322i
$606$	−1.45618	+	1.06528i	−0.0591533	+	0.0432740i
$607$	20.7689			0.842983			0.421492	−	0.906832i	$-0.361507\pi$
$607$	20.7689			0.842983			0.421492	+	0.906832i	$0.361507\pi$
$608$	−17.5408	+	2.62503i	−0.711375	+	0.106459i
$609$	−1.50705	−	6.58787i	−0.0610686	−	0.266954i
$610$	10.5157	−	39.0540i	0.425768	−	1.58125i
$611$	−3.71102	−	2.69622i	−0.150132	−	0.109077i
$612$	−23.4529	−	16.8060i	−0.948027	−	0.679343i
$613$	20.8906	+	28.7535i	0.843764	+	1.16134i	0.985202	+	0.171395i	$0.0548274\pi$
$613$	20.8906	+	28.7535i	0.843764	+	1.16134i	−0.141438	+	0.989947i	$0.545173\pi$
$614$	30.6821	−	26.9570i	1.23823	−	1.08790i
$615$	−3.65316	−	19.6858i	−0.147310	−	0.793809i
$616$	−0.708692	+	19.3897i	−0.0285540	+	0.781233i
$617$	14.8717	−	45.7703i	0.598711	−	1.84264i	0.0633979	−	0.997988i	$-0.479806\pi$
$617$	14.8717	−	45.7703i	0.598711	−	1.84264i	0.535313	−	0.844654i	$-0.320194\pi$
$618$	−9.60741	+	13.3149i	−0.386467	+	0.535604i
$619$	21.0541	+	6.84090i	0.846236	+	0.274959i	0.699869	−	0.714271i	$-0.253242\pi$
$619$	21.0541	+	6.84090i	0.846236	+	0.274959i	0.146368	+	0.989230i	$0.453242\pi$
$620$	16.5557	+	17.0054i	0.664892	+	0.682955i
$621$	−23.2708	−	29.0926i	−0.933827	−	1.16745i
$622$	−32.5963	+	3.02517i	−1.30699	+	0.121298i
$623$	−5.76898	+	7.94032i	−0.231129	+	0.318122i
$624$	−29.8636	+	8.61648i	−1.19550	+	0.344935i
$625$	3.69985	+	24.7247i	0.147994	+	0.988988i
$626$	−8.53739	−	1.92363i	−0.341223	−	0.0768837i
$627$	10.1535	−	6.07322i	0.405493	−	0.242541i
$628$	23.3965	+	3.03680i	0.933621	+	0.121181i
$629$	40.3060	−	13.0962i	1.60711	−	0.522181i
$630$	−5.54637	−	29.3518i	−0.220973	−	1.16940i
$631$	2.11030	+	0.685677i	0.0840095	+	0.0272964i	0.350720	−	0.936480i	$-0.385937\pi$
$631$	2.11030	+	0.685677i	0.0840095	+	0.0272964i	−0.266711	+	0.963777i	$0.585937\pi$
$632$	25.4889	+	19.9810i	1.01389	+	0.794800i
$633$	−9.12954	−	7.96833i	−0.362867	−	0.316713i
$634$	17.3494	+	40.2805i	0.689032	+	1.59974i
$635$	−8.04577	+	5.35120i	−0.319287	+	0.212356i
$636$	0.861059	+	8.95912i	0.0341432	+	0.355252i
$637$	7.68496	+	10.5774i	0.304489	+	0.419094i
$638$	−3.50651	+	1.51031i	−0.138824	+	0.0597936i
$639$	5.14465	+	37.7007i	0.203519	+	1.49141i
$640$	25.2921	+	0.554756i	0.999760	+	0.0219287i
$641$	0.775928	+	1.06797i	0.0306473	+	0.0421824i	0.824066	−	0.566494i	$-0.191701\pi$
$641$	0.775928	+	1.06797i	0.0306473	+	0.0421824i	−0.793418	+	0.608677i	$0.791701\pi$
$642$	−4.25831	+	3.11520i	−0.168062	+	0.122947i
$643$	−16.1293			−0.636078			−0.318039	−	0.948078i	$-0.603024\pi$
$643$	−16.1293			−0.636078			−0.318039	+	0.948078i	$0.603024\pi$
$644$	−32.8075	−	31.0196i	−1.29280	−	1.22234i
$645$	−2.27851	−	1.08616i	−0.0897163	−	0.0427675i
$646$	1.97040	+	21.2311i	0.0775243	+	0.835328i
$647$	−31.3201	+	10.1765i	−1.23132	+	0.400081i	−0.851193	−	0.524853i	$-0.824120\pi$
$647$	−31.3201	+	10.1765i	−1.23132	+	0.400081i	−0.380129	+	0.924934i	$0.624120\pi$
$648$	5.92009	+	24.7579i	0.232563	+	0.972581i
$649$	8.06315			0.316506
$650$	18.8950	+	25.4815i	0.741123	+	0.999467i
$651$	−11.3621	+	26.6191i	−0.445315	+	1.04329i
$652$	19.2430	+	35.2875i	0.753614	+	1.38197i
$653$	12.3997	+	38.1622i	0.485236	+	1.49340i	0.831638	+	0.555317i	$0.187403\pi$
$653$	12.3997	+	38.1622i	0.485236	+	1.49340i	−0.346402	+	0.938086i	$0.612597\pi$
$654$	−38.6726	−	12.4257i	−1.51222	−	0.485882i
$655$	−9.26603	−	7.33688i	−0.362054	−	0.286676i
$656$	7.48091	+	19.2779i	0.292080	+	0.752676i
$657$	−25.2818	+	24.2195i	−0.986336	+	0.944891i
$658$	−2.32435	+	3.91500i	−0.0906125	+	0.152623i
$659$	5.18431	−	3.76662i	0.201952	−	0.146727i	−0.482213	−	0.876054i	$-0.660167\pi$
$659$	5.18431	−	3.76662i	0.201952	−	0.146727i	0.684165	+	0.729327i	$0.260167\pi$
$660$	−15.7423	+	6.07998i	−0.612769	+	0.236663i
$661$	−27.1923	−	19.7564i	−1.05766	−	0.768434i	−0.0840046	−	0.996465i	$-0.526771\pi$
$661$	−27.1923	−	19.7564i	−1.05766	−	0.768434i	−0.973654	+	0.228032i	$0.926771\pi$
$662$	16.9001	−	7.27911i	0.656840	−	0.282911i
$663$	8.33272	+	36.4255i	0.323616	+	1.41465i
$664$	−3.47121	−	12.1803i	−0.134709	−	0.472687i
$665$	−13.7035	+	17.3067i	−0.531399	+	0.671124i
$666$	−34.4369	−	14.5659i	−1.33440	−	0.564419i
$667$	2.74543	−	8.44956i	0.106303	−	0.327168i
$668$	−9.79909	+	20.6410i	−0.379138	+	0.798626i
$669$	−5.14421	+	5.89386i	−0.198886	+	0.227870i
$670$	33.9643	−	1.73835i	1.31216	−	0.0671582i
$671$	−8.61055	−	26.5006i	−0.332407	−	1.02304i
$672$	11.2551	+	28.7245i	0.434173	+	1.10807i
$673$	22.2887	−	30.6778i	0.859167	−	1.18254i	−0.122600	−	0.992456i	$-0.539123\pi$
$673$	22.2887	−	30.6778i	0.859167	−	1.18254i	0.981767	−	0.190086i	$-0.0608766\pi$
$674$	−31.6212	−	7.12483i	−1.21800	−	0.274438i
$675$	21.5615	−	14.4949i	0.829903	−	0.557908i
$676$	12.8758	+	6.11266i	0.495225	+	0.235102i
$677$	29.2698	+	21.2657i	1.12493	+	0.817309i	0.984949	−	0.172845i	$-0.0552961\pi$
$677$	29.2698	+	21.2657i	1.12493	+	0.817309i	0.139980	+	0.990154i	$0.455296\pi$
$678$	36.6743	+	11.7836i	1.40847	+	0.452547i
$679$	9.87848	−	3.20971i	0.379101	−	0.123177i
$680$	2.36798	−	30.3211i	0.0908080	−	1.16276i
$681$	−20.6482	−	18.0219i	−0.791240	−	0.690600i
$682$	15.9511	+	3.59408i	0.610800	+	0.137624i
$683$	6.27951	+	2.04034i	0.240279	+	0.0780713i	0.426681	−	0.904402i	$-0.359683\pi$
$683$	6.27951	+	2.04034i	0.240279	+	0.0780713i	−0.186402	+	0.982474i	$0.559683\pi$
$684$	10.9576	−	15.2913i	0.418973	−	0.584679i
$685$	−6.00396	−	21.4637i	−0.229399	−	0.820087i
$686$	−13.6675	+	12.0081i	−0.521826	+	0.458472i
$687$	29.5135	−	6.75154i	1.12601	−	0.257587i
$688$	2.52055	+	0.665533i	0.0960951	+	0.0253732i
$689$	6.85133	−	9.43005i	0.261015	−	0.359256i
$690$	13.5500	−	36.8581i	0.515840	−	1.40316i
$691$	−6.82283	−	9.39083i	−0.259553	−	0.357244i	0.659275	−	0.751902i	$-0.270863\pi$
$691$	−6.82283	−	9.39083i	−0.259553	−	0.357244i	−0.918828	+	0.394658i	$0.870863\pi$
$692$	−14.2031	+	15.0217i	−0.539920	+	0.571039i
$693$	−14.2364	−	14.8608i	−0.540797	−	0.564517i
$694$	−20.9959	+	35.3643i	−0.796994	+	1.34241i
$695$	−7.94781	−	11.9499i	−0.301478	−	0.453285i
$696$	−4.15625	+	4.42474i	−0.157542	+	0.167719i
$697$	23.6430	−	7.68207i	0.895541	−	0.290979i
$698$	−6.29585	+	5.53148i	−0.238302	+	0.209370i
$699$	3.47327	+	1.48253i	0.131371	+	0.0560743i
$700$	23.4509	−	21.0116i	0.886360	−	0.794165i
$701$			7.71123i			0.291249i	0.989340	+	0.145625i	$0.0465192\pi$
$701$			7.71123i			0.291249i	−0.989340	+	0.145625i	$0.953481\pi$
$702$	15.4984	−	29.0970i	0.584949	−	1.09820i
$703$	8.53877	+	26.2796i	0.322046	+	0.991155i
$704$	14.8107	−	9.18785i	0.558198	−	0.346280i
$705$	−3.92625	−	0.515996i	−0.147871	−	0.0194335i
$706$	−9.78195	−	5.80757i	−0.368148	−	0.218571i
$707$		−	2.31926i		−	0.0872249i
$708$	11.7582	−	5.11015i	0.441902	−	0.192051i
$709$	−7.86571	+	5.71477i	−0.295403	+	0.214623i	−0.725608	−	0.688108i	$-0.758441\pi$
$709$	−7.86571	+	5.71477i	−0.295403	+	0.214623i	0.430205	+	0.902731i	$0.358441\pi$
$710$	−31.2008	+	25.2028i	−1.17095	+	0.945845i
$711$	−34.0362	+	4.64460i	−1.27646	+	0.174186i
$712$	8.81057	+	0.322026i	0.330190	+	0.0120684i
$713$	−30.7824	+	22.3647i	−1.15281	+	0.837564i
$714$	35.2359	−	11.5765i	1.31867	−	0.433239i
$715$	20.4881	+	7.60821i	0.766213	+	0.284531i
$716$	34.0960	−	6.38368i	1.27423	−	0.238569i
$717$	21.9102	−	25.1031i	0.818251	−	0.937494i
$718$	−0.578010	+	2.56530i	−0.0215711	+	0.0957362i
$719$	5.91073	−	18.1913i	0.220433	−	0.678423i	−0.778290	−	0.627905i	$-0.783913\pi$
$719$	5.91073	−	18.1913i	0.220433	−	0.678423i	0.998723	−	0.0505180i	$-0.0160872\pi$
$720$	−19.1033	+	18.8432i	−0.711936	+	0.702244i
$721$	−6.52213	−	20.0731i	−0.242897	−	0.747560i
$722$	12.9123	−	1.19835i	0.480547	−	0.0445981i
$723$	14.9890	+	25.0594i	0.557448	+	0.931970i
$724$	9.69433	+	4.60227i	0.360287	+	0.171042i
$725$	5.71402	+	2.39546i	0.212213	+	0.0889652i
$726$	8.96308	−	12.4219i	0.332651	−	0.461021i
$727$	−10.2976	−	7.48165i	−0.381917	−	0.277479i	0.380218	−	0.924897i	$-0.375849\pi$
$727$	−10.2976	−	7.48165i	−0.381917	−	0.277479i	−0.762135	+	0.647418i	$0.775849\pi$
$728$	13.7262	−	37.5223i	0.508726	−	1.39067i
$729$	−23.2189	−	13.7799i	−0.859958	−	0.510365i
$730$	−35.6353	−	9.59518i	−1.31892	−	0.355134i
$731$	0.968475	−	2.98066i	0.0358203	−	0.110244i
$732$	−29.3516	−	33.1879i	−1.08487	−	1.22666i
$733$	−17.8317	−	5.79386i	−0.658628	−	0.214001i	−0.0394131	−	0.999223i	$-0.512549\pi$
$733$	−17.8317	−	5.79386i	−0.658628	−	0.214001i	−0.619214	+	0.785222i	$0.712549\pi$
$734$	−0.220771	−	0.512569i	−0.00814881	−	0.0189193i
$735$	10.1887	+	4.85693i	0.375816	+	0.179151i
$736$	−6.68608	+	40.0028i	−0.246452	+	1.47452i
$737$	18.9554	−	13.7719i	0.698231	−	0.507294i
$738$	−20.2002	−	8.54418i	−0.743581	−	0.314516i
$739$	−4.09366	+	5.63444i	−0.150588	+	0.207266i	−0.877646	−	0.479310i	$-0.840887\pi$
$739$	−4.09366	+	5.63444i	−0.150588	+	0.207266i	0.727058	+	0.686576i	$0.240887\pi$
$740$	−5.64340	−	39.0072i	−0.207455	−	1.43393i
$741$	−23.7495	+	5.43295i	−0.872459	+	0.199584i
$742$	−9.94837	−	5.90638i	−0.365216	−	0.216830i
$743$			38.3548i			1.40710i	0.710645	+	0.703551i	$0.248403\pi$
$743$			38.3548i			1.40710i	−0.710645	+	0.703551i	$0.751597\pi$
$744$	25.5388	−	4.86814i	0.936299	−	0.178474i
$745$	−16.2850	−	6.04737i	−0.596635	−	0.221559i
$746$	−2.49858	−	26.9223i	−0.0914795	−	0.985697i
$747$	11.8358	+	6.35410i	0.433048	+	0.232484i
$748$	−10.0316	−	18.3958i	−0.366791	−	0.672615i
$749$		−	6.78223i		−	0.247817i
$750$	24.8345	+	11.5433i	0.906828	+	0.421501i
$751$		−	16.5627i		−	0.604381i	−0.953248	−	0.302191i	$-0.902282\pi$
$751$		−	16.5627i		−	0.604381i	0.953248	−	0.302191i	$-0.0977179\pi$
$752$	4.08347	−	0.228947i	0.148909	−	0.00834885i
$753$	1.80230	−	20.1361i	0.0656796	−	0.733801i
$754$	7.82829	−	0.726519i	0.285089	−	0.0264583i
$755$	11.7156	+	4.35056i	0.426375	+	0.158333i
$756$	−30.1788	−	12.6486i	−1.09759	−	0.460024i
$757$			19.9055i			0.723479i	0.932279	+	0.361739i	$0.117817\pi$
$757$			19.9055i			0.723479i	−0.932279	+	0.361739i	$0.882183\pi$
$758$	2.49718	−	4.20610i	0.0907015	−	0.152773i
$759$	−6.03322	−	26.3735i	−0.218992	−	0.957297i
$760$	19.7694	+	1.54393i	0.717113	+	0.0560042i
$761$	−29.7135	+	40.8972i	−1.07712	+	1.48252i	−0.214458	+	0.976733i	$0.568798\pi$
$761$	−29.7135	+	40.8972i	−1.07712	+	1.48252i	−0.862657	+	0.505789i	$0.831202\pi$
$762$	0.0346520	+	10.5850i	0.00125531	+	0.383455i
$763$	42.2427	−	30.6911i	1.52929	−	1.11109i
$764$	20.8113	+	38.1634i	0.752925	+	1.38070i
$765$	21.3321	+	24.1980i	0.771264	+	0.874880i
$766$	−25.0476	+	10.7884i	−0.905007	+	0.389800i
$767$	−15.7911	−	5.13083i	−0.570183	−	0.185264i
$768$	15.7750	−	22.7849i	0.569231	−	0.822178i
$769$	8.29531	−	25.5303i	0.299136	−	0.920647i	−0.682664	−	0.730732i	$-0.739179\pi$
$769$	8.29531	−	25.5303i	0.299136	−	0.920647i	0.981801	−	0.189915i	$-0.0608213\pi$
$770$	5.64013	−	20.9468i	0.203256	−	0.754869i
$771$	−3.12713	+	34.9376i	−0.112621	+	1.25825i
$772$	−9.00873	−	1.16931i	−0.324231	−	0.0420843i
$773$	20.6276	+	14.9869i	0.741925	+	0.539040i	0.893313	−	0.449434i	$-0.148374\pi$
$773$	20.6276	+	14.9869i	0.741925	+	0.539040i	−0.151388	+	0.988474i	$0.548374\pi$
$774$	−2.36832	+	1.42713i	−0.0851274	+	0.0512972i
$775$	−13.7676	−	22.6836i	−0.494549	−	0.814819i
$776$	−7.34304	−	5.75628i	−0.263600	−	0.206638i
$777$	41.2484	−	24.6723i	1.47978	−	0.885114i
$778$	−2.09864	−	22.6130i	−0.0752399	−	0.810714i
$779$	5.00872	+	15.4153i	0.179456	+	0.552309i
$780$	34.6990	−	1.88986i	1.24242	−	0.0676679i
$781$	−8.53888	+	26.2800i	−0.305545	+	0.940371i
$782$	47.5659	+	10.7175i	1.70095	+	0.383256i
$783$	−0.298366	−	6.43197i	−0.0106627	−	0.229860i
$784$	−11.2710	−	2.97603i	−0.402537	−	0.106287i
$785$	−24.7276	−	9.18251i	−0.882565	−	0.327738i
$786$	−12.3002	+	4.04116i	−0.438735	+	0.144143i
$787$	15.8981	−	11.5506i	0.566705	−	0.411735i	−0.267202	−	0.963641i	$-0.586099\pi$
$787$	15.8981	−	11.5506i	0.566705	−	0.411735i	0.833907	+	0.551905i	$0.186099\pi$
$788$	41.6633	−	7.80046i	1.48419	−	0.277880i
$789$	−12.8275	+	7.67265i	−0.456672	+	0.273154i
$790$	−22.7531	−	28.1682i	−0.809520	−	1.00218i
$791$	−40.0599	+	29.1052i	−1.42437	+	1.03486i
$792$	−3.94528	+	18.0604i	−0.140189	+	0.641749i
$793$			57.3785i			2.03757i
$794$	0.543742	−	0.915848i	0.0192967	−	0.0325022i
$795$	1.31119	−	9.97697i	0.0465032	−	0.353847i
$796$	26.1924	+	3.39970i	0.928365	+	0.120499i
$797$	−1.02356	−	3.15018i	−0.0362563	−	0.111585i	0.931290	−	0.364277i	$-0.118684\pi$
$797$	−1.02356	−	3.15018i	−0.0362563	−	0.111585i	−0.967547	+	0.252692i	$0.918684\pi$
$798$	7.54790	+	22.9739i	0.267193	+	0.813266i
$799$		−	4.91685i		−	0.173946i
$800$	−27.4160	−	6.95431i	−0.969302	−	0.245872i
$801$	−6.75268	+	6.46895i	−0.238594	+	0.228569i
$802$	−7.66858	−	8.72826i	−0.270787	−	0.308206i
$803$	−24.1808	+	7.85681i	−0.853321	+	0.277261i
$804$	18.9139	−	32.0964i	0.667042	−	1.13195i
$805$	27.9553	+	42.0320i	0.985293	+	1.48143i
$806$	−28.9520	−	17.1889i	−1.01979	−	0.605454i
$807$	−16.8951	+	39.5818i	−0.594735	+	1.39335i
$808$	−1.72907	+	1.16219i	−0.0608286	+	0.0408856i
$809$	8.97385	+	12.3514i	0.315504	+	0.434254i	0.937088	−	0.349094i	$-0.113511\pi$
$809$	8.97385	+	12.3514i	0.315504	+	0.434254i	−0.621584	+	0.783348i	$0.713511\pi$
$810$	−0.234041	−	28.4595i	−0.00822336	−	0.999966i
$811$	15.7802	−	21.7196i	0.554119	−	0.762679i	−0.436445	−	0.899731i	$-0.643763\pi$
$811$	15.7802	−	21.7196i	0.554119	−	0.762679i	0.990564	+	0.137052i	$0.0437627\pi$
$812$	−1.43607	−	7.67025i	−0.0503963	−	0.269173i
$813$	−9.57451	−	41.8538i	−0.335793	−	1.46788i
$814$	−17.9222	−	20.3988i	−0.628174	−	0.714978i
$815$	−12.1055	−	43.2763i	−0.424037	−	1.51590i
$816$	−26.2873	−	20.4683i	−0.920240	−	0.716533i
$817$	1.94340	+	0.631448i	0.0679908	+	0.0220916i
$818$	−10.1511	+	45.0521i	−0.354923	+	1.57521i
$819$	18.4245	+	38.1629i	0.643806	+	1.33352i
$820$	−3.31034	−	22.8811i	−0.115602	−	0.799042i
$821$	−52.2383	+	16.9732i	−1.82313	+	0.592370i	−0.823439	+	0.567404i	$0.807948\pi$
$821$	−52.2383	+	16.9732i	−1.82313	+	0.592370i	−0.999688	+	0.0249655i	$0.992052\pi$
$822$	−23.2445	−	7.46856i	−0.810745	−	0.260496i
$823$	2.76638	+	2.00989i	0.0964299	+	0.0700604i	0.634955	−	0.772549i	$-0.281018\pi$
$823$	2.76638	+	2.00989i	0.0964299	+	0.0700604i	−0.538526	+	0.842609i	$0.681018\pi$
$824$	−11.6968	+	14.9211i	−0.407476	+	0.519800i
$825$	18.6774	−	2.67171i	0.650264	−	0.0930171i
$826$	−3.62251	+	16.0773i	−0.126043	+	0.559401i
$827$	19.3792	−	26.6732i	0.673881	−	0.927517i	−0.325960	−	0.945384i	$-0.605687\pi$
$827$	19.3792	−	26.6732i	0.673881	−	0.927517i	0.999840	+	0.0178664i	$0.00568734\pi$
$828$	−25.5127	−	34.6360i	−0.886626	−	1.20368i
$829$	7.01433	+	21.5879i	0.243618	+	0.749778i	0.995861	+	0.0908925i	$0.0289720\pi$
$829$	7.01433	+	21.5879i	0.243618	+	0.749778i	−0.752243	+	0.658886i	$0.771028\pi$
$830$	0.723794	+	14.1417i	0.0251232	+	0.490865i
$831$	−5.96837	−	5.20924i	−0.207041	−	0.180706i
$832$	−34.8521	+	8.56924i	−1.20828	+	0.297085i
$833$	−4.33068	+	13.3285i	−0.150049	+	0.461804i
$834$	−15.7213	+	0.0514664i	−0.544383	+	0.00178214i
$835$	15.8581	−	20.0278i	0.548793	−	0.693091i
$836$	11.9941	−	6.54061i	0.414824	−	0.226212i
$837$	−15.1574	+	23.0364i	−0.523918	+	0.796253i
$838$	0.417121	+	0.968439i	0.0144092	+	0.0334542i
$839$	9.61057	+	6.98249i	0.331794	+	0.241062i	0.741191	−	0.671294i	$-0.234261\pi$
$839$	9.61057	+	6.98249i	0.331794	+	0.241062i	−0.409398	+	0.912356i	$0.634261\pi$
$840$	−5.05051	−	34.1205i	−0.174259	−	1.17727i
$841$	−22.2192	+	16.1432i	−0.766180	+	0.556662i
$842$	−17.1891	−	10.2052i	−0.592374	−	0.351694i
$843$	6.76149	−	15.8408i	0.232878	−	0.545587i
$844$	−10.1674	−	9.61328i	−0.349975	−	0.330903i
$845$	−12.4933	−	9.89227i	−0.429783	−	0.340304i
$846$	−2.84180	+	3.27753i	−0.0977032	+	0.112684i
$847$	6.08472	+	18.7268i	0.209074	+	0.643462i
$848$	0.581776	+	10.3765i	0.0199783	+	0.356330i
$849$	4.88789	+	2.08634i	0.167752	+	0.0716031i
$850$	−10.1924	+	32.4398i	−0.349596	+	1.11267i
$851$	63.1869			2.16602
$852$	4.20335	+	43.7349i	0.144005	+	1.49833i
$853$	−13.3093	+	4.32445i	−0.455701	+	0.148066i	−0.527868	−	0.849326i	$-0.677009\pi$
$853$	−13.3093	+	4.32445i	−0.455701	+	0.148066i	0.0721669	+	0.997393i	$0.477009\pi$
$854$	56.7086	−	5.26295i	1.94053	−	0.180094i
$855$	−15.7771	+	13.9086i	−0.539567	+	0.475663i
$856$	−5.05634	+	3.39858i	−0.172822	+	0.116161i
$857$	−7.48884			−0.255814			−0.127907	−	0.991786i	$-0.540826\pi$
$857$	−7.48884			−0.255814			−0.127907	+	0.991786i	$0.540826\pi$
$858$	19.3226	−	14.1356i	0.659663	−	0.482581i
$859$	12.6391	+	17.3963i	0.431242	+	0.593553i	0.968238	−	0.250032i	$-0.0804410\pi$
$859$	12.6391	+	17.3963i	0.431242	+	0.593553i	−0.536996	+	0.843585i	$0.680441\pi$
$860$	−2.57900	−	1.35790i	−0.0879432	−	0.0463041i
$861$	24.1957	−	14.4724i	0.824588	−	0.493219i
$862$	4.70497	+	10.9236i	0.160252	+	0.372060i
$863$	29.7893	+	41.0014i	1.01404	+	1.39570i	0.916300	+	0.400492i	$0.131161\pi$
$863$	29.7893	+	41.0014i	1.01404	+	1.39570i	0.0977378	+	0.995212i	$0.468839\pi$
$864$	5.69280	+	28.8373i	0.193673	+	0.981066i
$865$	19.2454	−	12.8000i	0.654362	−	0.435213i
$866$	51.3632	−	22.1229i	1.74539	−	0.751766i
$867$	−6.97541	+	7.99192i	−0.236897	+	0.271420i
$868$	−14.3327	+	30.1906i	−0.486482	+	1.02474i
$869$	−23.7256	−	7.70891i	−0.804835	−	0.261507i
$870$	5.63904	−	3.77718i	0.191181	−	0.128058i
$871$	−45.8862	+	14.9093i	−1.55479	+	0.505183i
$872$	−44.0489	−	16.1137i	−1.49168	−	0.545679i
$873$	9.80543	−	1.33806i	0.331864	−	0.0452863i
$874$	−6.98782	+	31.0131i	−0.236367	+	1.04903i
$875$	−30.8245	+	17.0041i	−1.04206	+	0.574844i
$876$	−30.2827	+	26.7823i	−1.02316	+	0.904890i
$877$	−17.4476	+	24.0145i	−0.589163	+	0.810913i	−0.994662	−	0.103182i	$-0.967097\pi$
$877$	−17.4476	+	24.0145i	−0.589163	+	0.810913i	0.405500	+	0.914095i	$0.367097\pi$
$878$	2.81788	+	30.3628i	0.0950989	+	1.02470i
$879$	−0.357830	+	3.99783i	−0.0120693	+	0.134843i
$880$	−18.4427	+	6.29158i	−0.621702	+	0.212089i
$881$	21.4138	+	6.95778i	0.721451	+	0.234413i	0.646652	−	0.762785i	$-0.276169\pi$
$881$	21.4138	+	6.95778i	0.721451	+	0.234413i	0.0747986	+	0.997199i	$0.476169\pi$
$882$	10.5903	−	6.38163i	0.356593	−	0.214881i
$883$	−16.7696	+	51.6115i	−0.564342	+	1.73687i	0.105557	+	0.994413i	$0.466337\pi$
$883$	−16.7696	+	51.6115i	−0.564342	+	1.73687i	−0.669899	+	0.742452i	$0.733663\pi$
$884$	7.94029	+	42.4101i	0.267061	+	1.42641i
$885$	−14.0933	+	2.61535i	−0.473742	+	0.0879140i
$886$	−16.1483	−	18.3797i	−0.542512	−	0.617479i
$887$	−16.8855	−	23.2408i	−0.566958	−	0.780351i	0.425232	−	0.905084i	$-0.360192\pi$
$887$	−16.8855	−	23.2408i	−0.566958	−	0.780351i	−0.992190	+	0.124733i	$0.960192\pi$
$888$	−39.0635	−	18.3885i	−1.31088	−	0.617077i
$889$	−11.0080	−	7.99776i	−0.369196	−	0.268236i
$890$	−9.51809	−	2.56284i	−0.319047	−	0.0859067i
$891$	−10.8340	−	16.3428i	−0.362952	−	0.547504i
$892$	−6.20615	+	6.56386i	−0.207797	+	0.219774i
$893$	3.20580			0.107278
$894$	−15.3586	+	11.2356i	−0.513667	+	0.375776i
$895$	−38.7497	−	1.60534i	−1.29526	−	0.0536607i
$896$	11.6659	+	33.6592i	0.389731	+	1.12447i
$897$	−4.96666	+	55.4896i	−0.165832	+	1.85274i
$898$	−5.44587	−	6.19841i	−0.181731	−	0.206844i
$899$	−6.57619			−0.219328
$900$	25.5434	−	15.7332i	0.851448	−	0.524439i
$901$	12.4942			0.416241
$902$	−10.5129	−	11.9657i	−0.350042	−	0.398413i
$903$	0.316871	−	3.54022i	0.0105448	−	0.117811i
$904$	41.7728	+	15.2811i	1.38934	+	0.508241i
$905$	−9.40633	−	7.44797i	−0.312677	−	0.247579i
$906$	11.0492	−	8.08307i	0.367083	−	0.268542i
$907$	−7.41562			−0.246232			−0.123116	−	0.992392i	$-0.539289\pi$
$907$	−7.41562			−0.246232			−0.123116	+	0.992392i	$0.539289\pi$
$908$	−22.9954	−	21.7422i	−0.763130	−	0.721542i
$909$	0.392425	−	2.17461i	0.0130159	−	0.0721272i
$910$	−24.3749	+	37.4337i	−0.808019	+	1.24091i
$911$	−41.1661	−	29.9089i	−1.36389	−	0.990926i	−0.998187	−	0.0601958i	$-0.980827\pi$
$911$	−41.1661	−	29.9089i	−1.36389	−	0.990926i	−0.365706	−	0.930730i	$-0.619173\pi$
$912$	13.3454	−	17.1394i	0.441909	−	0.567542i
$913$	5.73419	+	7.89244i	0.189774	+	0.261202i
$914$	−2.21772	−	2.52418i	−0.0733558	−	0.0834925i
$915$	23.6458	+	43.5266i	0.781706	+	1.43895i
$916$	34.3625	−	6.43358i	1.13537	−	0.212571i
$917$	5.14293	−	15.8283i	0.169834	−	0.522696i
$918$	34.9969	−	4.89246i	1.15507	−	0.161475i
$919$	−30.1486	−	9.79588i	−0.994511	−	0.323136i	−0.233841	−	0.972275i	$-0.575129\pi$
$919$	−30.1486	−	9.79588i	−0.994511	−	0.323136i	−0.760670	+	0.649139i	$0.775129\pi$
$920$	17.3276	−	41.9037i	0.571273	−	1.38152i
$921$	−4.45937	+	49.8219i	−0.146941	+	1.64169i
$922$	1.91025	+	20.5831i	0.0629108	+	0.677867i
$923$	33.4455	−	46.0338i	1.10087	−	1.51522i
$924$	−15.7429	−	17.8004i	−0.517902	−	0.585592i
$925$	−3.64488	+	43.9144i	−0.119843	+	1.44390i
$926$	2.02027	−	8.96627i	0.0663900	−	0.294650i
$927$	−2.71893	−	19.9246i	−0.0893013	−	0.654411i
$928$	−4.99876	+	4.91420i	−0.164092	+	0.161317i
$929$	−14.2613	+	4.63377i	−0.467897	+	0.152029i	−0.533470	−	0.845819i	$-0.679112\pi$
$929$	−14.2613	+	4.63377i	−0.467897	+	0.152029i	0.0655734	+	0.997848i	$0.479112\pi$
$930$	−29.0463	−	1.10811i	−0.952464	−	0.0363363i
$931$	−8.69019	−	2.82361i	−0.284810	−	0.0925402i
$932$	3.93928	+	1.87013i	0.129035	+	0.0612580i
$933$	26.3644	−	30.2064i	0.863131	−	0.988914i
$934$	−29.8785	+	12.8691i	−0.977656	+	0.421091i
$935$	6.31071	+	22.5604i	0.206382	+	0.737803i
$936$	19.2189	−	32.8595i	0.628190	−	1.07405i
$937$	−15.0163	−	20.6681i	−0.490560	−	0.675198i	0.489931	−	0.871761i	$-0.337022\pi$
$937$	−15.0163	−	20.6681i	−0.490560	−	0.675198i	−0.980491	+	0.196563i	$0.937022\pi$
$938$	18.9441	+	43.9829i	0.618546	+	1.43609i
$939$	9.19837	−	5.50191i	0.300178	−	0.179548i
$940$	−4.50634	−	0.775774i	−0.146981	−	0.0253029i
$941$	−9.07867	−	12.4957i	−0.295956	−	0.407349i	0.634981	−	0.772528i	$-0.281008\pi$
$941$	−9.07867	−	12.4957i	−0.295956	−	0.407349i	−0.930937	+	0.365179i	$0.881008\pi$
$942$	−23.3209	+	17.0605i	−0.759835	+	0.555862i
$943$	37.0645			1.20699
$944$	13.8013	−	5.35568i	0.449195	−	0.174313i
$945$	29.7037	+	21.3571i	0.966260	+	0.694748i
$946$	−1.99943	+	0.185561i	−0.0650072	+	0.00603312i
$947$	−34.6174	+	11.2479i	−1.12491	+	0.365507i	−0.811641	−	0.584156i	$-0.801425\pi$
$947$	−34.6174	+	11.2479i	−1.12491	+	0.365507i	−0.313273	+	0.949663i	$0.601425\pi$
$948$	−39.4839	+	3.79479i	−1.28238	+	0.123249i
$949$	52.3558			1.69954
$950$	−21.1508	−	6.64545i	−0.686223	−	0.215607i
$951$	−49.4026	−	21.0870i	−1.60199	−	0.683792i
$952$	41.1866	−	11.7376i	1.33487	−	0.380417i
$953$	−6.65664	−	20.4870i	−0.215630	−	0.663640i	−0.999108	−	0.0422213i	$-0.986557\pi$
$953$	−6.65664	−	20.4870i	−0.215630	−	0.663640i	0.783479	−	0.621419i	$-0.213443\pi$
$954$	−8.32850	−	7.22128i	−0.269645	−	0.233798i
$955$	−13.0921	−	46.8032i	−0.423649	−	1.51452i
$956$	26.4333	−	27.9568i	0.854912	−	0.904187i
$957$	1.83567	−	4.30061i	0.0593388	−	0.139019i
$958$	10.0717	+	5.97958i	0.325401	+	0.193192i
$959$	25.3903	−	18.4472i	0.819896	−	0.595690i
$960$	−22.9070	+	20.8631i	−0.739319	+	0.673355i
$961$	−2.29456	−	1.66709i	−0.0740180	−	0.0537772i
$962$	22.1189	+	51.3540i	0.713143	+	1.65572i
$963$	1.14757	−	6.35921i	0.0369799	−	0.204923i
$964$	16.1426	+	29.6020i	0.519917	+	0.953416i
$965$	9.52127	+	3.53569i	0.306500	+	0.113818i
$966$	55.2973	−	0.181026i	1.77916	−	0.00582441i
$967$	1.42209	−	4.37674i	0.0457313	−	0.140747i	−0.925584	−	0.378543i	$-0.876425\pi$
$967$	1.42209	−	4.37674i	0.0457313	−	0.140747i	0.971315	+	0.237797i	$0.0764252\pi$
$968$	10.9123	−	13.9204i	0.350735	−	0.447418i
$969$	−19.6745	−	17.1721i	−0.632036	−	0.551646i
$970$	6.55492	+	8.11492i	0.210466	+	0.260554i
$971$	−14.0446	−	43.2248i	−0.450712	−	1.38715i	−0.876096	−	0.482137i	$-0.839861\pi$
$971$	−14.0446	−	43.2248i	−0.450712	−	1.38715i	0.425383	−	0.905013i	$-0.360139\pi$
$972$	−26.1564	−	16.9660i	−0.838966	−	0.544184i
$973$	11.8786	−	16.3495i	0.380810	−	0.524140i
$974$	8.50483	−	37.7458i	0.272512	−	1.20945i
$975$	−38.2784	−	6.65266i	−1.22589	−	0.213056i
$976$	−32.3404	−	39.6405i	−1.03519	−	1.26886i
$977$	−47.4755	−	34.4930i	−1.51888	−	1.10353i	−0.962041	−	0.272905i	$-0.912015\pi$
$977$	−47.4755	−	34.4930i	−1.51888	−	1.10353i	−0.556835	−	0.830623i	$-0.687985\pi$
$978$	−46.8668	−	15.0585i	−1.49863	−	0.481518i
$979$	−6.45861	+	2.09853i	−0.206418	+	0.0670693i
$980$	11.5324	+	6.07206i	0.368389	+	0.193965i
$981$	44.8010	−	21.6293i	1.43038	−	0.690570i
$982$	−0.441516	+	1.95952i	−0.0140893	+	0.0625308i
$983$	−28.8848	−	9.38525i	−0.921283	−	0.299343i	−0.190290	−	0.981728i	$-0.560943\pi$
$983$	−28.8848	−	9.38525i	−0.921283	−	0.299343i	−0.730993	+	0.682385i	$0.760943\pi$
$984$	−22.9141	−	10.7864i	−0.730475	−	0.343859i
$985$	−47.3497	−	1.96163i	−1.50869	−	0.0625028i
$986$	5.56217	+	6.33079i	0.177136	+	0.201613i
$987$	−1.24351	−	5.43585i	−0.0395813	−	0.173025i
$988$	−27.6515	+	5.17709i	−0.879711	+	0.164705i
$989$	2.74655	−	3.78030i	0.0873353	−	0.120207i
$990$	8.83260	−	18.6860i	0.280718	−	0.593879i
$991$	27.8358	+	38.3127i	0.884233	+	1.21704i	0.975230	+	0.221191i	$0.0709945\pi$
$991$	27.8358	+	38.3127i	0.884233	+	1.21704i	−0.0909975	+	0.995851i	$0.529006\pi$
$992$	29.6900	−	4.44319i	0.942660	−	0.141071i
$993$	−8.84725	+	20.7273i	−0.280759	+	0.657763i
$994$	−48.5640	−	28.8326i	−1.54036	−	0.914515i
$995$	−27.6826	−	10.2798i	−0.877596	−	0.325893i
$996$	13.3640	+	7.87517i	0.423453	+	0.249534i
$997$	39.9997	−	12.9967i	1.26680	−	0.411609i	0.402889	−	0.915249i	$-0.368006\pi$
$997$	39.9997	−	12.9967i	1.26680	−	0.411609i	0.863914	+	0.503640i	$0.168006\pi$
$998$	−3.49511	−	3.97809i	−0.110636	−	0.125924i
$999$	42.8503	−	16.1541i	1.35572	−	0.511094i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	300.2.r.a.59.13	✓	224
3.2	odd	2	inner	300.2.r.a.59.44	yes	224
4.3	odd	2	inner	300.2.r.a.59.37	yes	224
12.11	even	2	inner	300.2.r.a.59.20	yes	224
25.14	even	10	inner	300.2.r.a.239.20	yes	224
75.14	odd	10	inner	300.2.r.a.239.37	yes	224
100.39	odd	10	inner	300.2.r.a.239.44	yes	224
300.239	even	10	inner	300.2.r.a.239.13	yes	224

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
300.2.r.a.59.13	✓	224	1.1	even	1	trivial
300.2.r.a.59.20	yes	224	12.11	even	2	inner
300.2.r.a.59.37	yes	224	4.3	odd	2	inner
300.2.r.a.59.44	yes	224	3.2	odd	2	inner
300.2.r.a.239.13	yes	224	300.239	even	10	inner
300.2.r.a.239.20	yes	224	25.14	even	10	inner
300.2.r.a.239.37	yes	224	75.14	odd	10	inner
300.2.r.a.239.44	yes	224	100.39	odd	10	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:	\( N \)	\(=\)	\( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	300.r (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.06241 + 0.933425i) q^{2} +(0.154412 - 1.72515i) q^{3} +(0.257435 - 1.98336i) q^{4} +(-0.778418 + 2.09620i) q^{5} +(1.44625 + 1.97695i) q^{6} -3.14870 q^{7} +(1.57782 + 2.34744i) q^{8} +(-2.95231 - 0.532768i) q^{9} +O(q^{10})\)	\(q+(-1.06241 + 0.933425i) q^{2} +(0.154412 - 1.72515i) q^{3} +(0.257435 - 1.98336i) q^{4} +(-0.778418 + 2.09620i) q^{5} +(1.44625 + 1.97695i) q^{6} -3.14870 q^{7} +(1.57782 + 2.34744i) q^{8} +(-2.95231 - 0.532768i) q^{9} +(-1.12965 - 2.95362i) q^{10} +(-1.76255 - 1.28057i) q^{11} +(-3.38186 - 0.750369i) q^{12} +(2.63696 + 3.62946i) q^{13} +(3.34522 - 2.93908i) q^{14} +(3.49608 + 1.66657i) q^{15} +(-3.86745 - 1.02117i) q^{16} +(-1.48600 + 4.57343i) q^{17} +(3.63387 - 2.18975i) q^{18} +(-2.98189 - 0.968874i) q^{19} +(3.95714 + 2.08352i) q^{20} +(-0.486197 + 5.43200i) q^{21} +(3.06787 - 0.284720i) q^{22} +(-4.21422 + 5.80038i) q^{23} +(4.29333 - 2.35951i) q^{24} +(-3.78813 - 3.26345i) q^{25} +(-6.18937 - 1.39458i) q^{26} +(-1.37498 + 5.01093i) q^{27} +(-0.810586 + 6.24502i) q^{28} +(-1.17852 + 0.382923i) q^{29} +(-5.26989 + 1.49274i) q^{30} +(5.04721 + 1.63994i) q^{31} +(5.06202 - 2.52507i) q^{32} +(-2.48134 + 2.84294i) q^{33} +(-2.69022 - 6.24593i) q^{34} +(2.45101 - 6.60032i) q^{35} +(-1.81670 + 5.71836i) q^{36} +(-5.18020 - 7.12994i) q^{37} +(4.07236 - 1.75403i) q^{38} +(6.66856 - 3.98873i) q^{39} +(-6.14892 + 1.48014i) q^{40} +(-3.03863 - 4.18232i) q^{41} +(-4.55382 - 6.22484i) q^{42} -0.651734 q^{43} +(-2.99358 + 3.16612i) q^{44} +(3.41493 - 5.77393i) q^{45} +(-0.936984 - 10.0961i) q^{46} +(-0.972428 + 0.315961i) q^{47} +(-2.35886 + 6.51427i) q^{48} +2.91433 q^{49} +(7.07073 - 0.0688148i) q^{50} +(7.66042 + 3.26977i) q^{51} +(7.87739 - 4.29570i) q^{52} +(-0.802886 - 2.47103i) q^{53} +(-3.21654 - 6.60711i) q^{54} +(4.05634 - 2.69785i) q^{55} +(-4.96808 - 7.39140i) q^{56} +(-2.13190 + 4.99461i) q^{57} +(0.894639 - 1.50688i) q^{58} +(-2.99418 + 2.17540i) q^{59} +(4.20542 - 6.50495i) q^{60} +(10.3472 + 7.51767i) q^{61} +(-6.89298 + 2.96891i) q^{62} +(9.29596 + 1.67753i) q^{63} +(-3.02097 + 7.40768i) q^{64} +(-9.66075 + 2.70236i) q^{65} +(-0.0174700 - 5.33651i) q^{66} +(-3.32333 + 10.2281i) q^{67} +(8.68822 + 4.12463i) q^{68} +(9.35582 + 8.16583i) q^{69} +(3.55692 + 9.30008i) q^{70} +(-3.91937 - 12.0626i) q^{71} +(-3.40757 - 7.77100i) q^{72} +(6.85959 - 9.44142i) q^{73} +(12.1588 + 2.73959i) q^{74} +(-6.21488 + 6.03119i) q^{75} +(-2.68927 + 5.66474i) q^{76} +(5.54975 + 4.03213i) q^{77} +(-3.36157 + 10.4623i) q^{78} +(10.8901 - 3.53841i) q^{79} +(5.15108 - 7.31207i) q^{80} +(8.43232 + 3.14580i) q^{81} +(7.13216 + 1.60701i) q^{82} +(-4.25869 - 1.38373i) q^{83} +(10.6485 + 2.36269i) q^{84} +(-8.43011 - 6.67500i) q^{85} +(0.692409 - 0.608345i) q^{86} +(0.478625 + 2.09225i) q^{87} +(0.225074 - 6.15800i) q^{88} +(1.83218 - 2.52177i) q^{89} +(1.76148 + 9.32187i) q^{90} +(-8.30300 - 11.4281i) q^{91} +(10.4194 + 9.85155i) q^{92} +(3.60850 - 8.45400i) q^{93} +(0.738193 - 1.24337i) q^{94} +(4.35211 - 5.49645i) q^{95} +(-3.57451 - 9.12266i) q^{96} +(-3.13732 + 1.01938i) q^{97} +(-3.09621 + 2.72031i) q^{98} +(4.52136 + 4.71967i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 224 q - 6 q^{4} - 7 q^{6} - 6 q^{9}+O(q^{10}) \) 224 * q - 6 * q^4 - 7 * q^6 - 6 * q^9	\( 224 q - 6 q^{4} - 7 q^{6} - 6 q^{9} - 5 q^{12} - 20 q^{13} + 6 q^{16} - 24 q^{21} - 10 q^{22} - 28 q^{24} - 20 q^{25} - 50 q^{28} - 25 q^{30} - 10 q^{33} - 14 q^{34} - 25 q^{36} - 60 q^{37} - 20 q^{40} - 85 q^{42} - 30 q^{45} + 6 q^{46} - 70 q^{48} + 88 q^{49} + 40 q^{52} - 46 q^{54} + 50 q^{58} + 10 q^{60} - 28 q^{61} + 18 q^{64} + 64 q^{66} - 42 q^{69} - 40 q^{70} - 5 q^{72} - 20 q^{73} - 80 q^{76} - 85 q^{78} + 18 q^{81} - 48 q^{84} - 20 q^{85} + 50 q^{88} - 60 q^{90} + 60 q^{94} + 44 q^{96} - 120 q^{97}+O(q^{100}) \) 224 * q - 6 * q^4 - 7 * q^6 - 6 * q^9 - 5 * q^12 - 20 * q^13 + 6 * q^16 - 24 * q^21 - 10 * q^22 - 28 * q^24 - 20 * q^25 - 50 * q^28 - 25 * q^30 - 10 * q^33 - 14 * q^34 - 25 * q^36 - 60 * q^37 - 20 * q^40 - 85 * q^42 - 30 * q^45 + 6 * q^46 - 70 * q^48 + 88 * q^49 + 40 * q^52 - 46 * q^54 + 50 * q^58 + 10 * q^60 - 28 * q^61 + 18 * q^64 + 64 * q^66 - 42 * q^69 - 40 * q^70 - 5 * q^72 - 20 * q^73 - 80 * q^76 - 85 * q^78 + 18 * q^81 - 48 * q^84 - 20 * q^85 + 50 * q^88 - 60 * q^90 + 60 * q^94 + 44 * q^96 - 120 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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