LMFDB - Embedded newform 213.2.n.a.104.18

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [213,2,Mod(11,213)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("213.11"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(213, base_ring=CyclotomicField(70)) chi = DirichletCharacter(H, H._module([35, 31])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 213 = 3 \cdot 71 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	213.n (of order $70$, degree $24$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$1.70081356305$
Analytic rank:	$0$
Dimension:	$528$
Relative dimension:	$22$ over $\Q(\zeta_{70})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{70}]$

Embedding invariants

Embedding label			104.18
Character	$\chi$	$=$	213.104
Dual form			213.2.n.a.170.18

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.629129 + 1.67631i) q^{2} +(-0.353806 - 1.69553i) q^{3} +(-0.908064 + 0.793352i) q^{4} +(-1.40661 - 1.93603i) q^{5} +(2.61964 - 1.65980i) q^{6} +(2.34029 - 1.54481i) q^{7} +(1.25218 + 0.673828i) q^{8} +(-2.74964 + 1.19978i) q^{9} +(2.36045 - 3.57592i) q^{10} +(0.286857 - 0.300029i) q^{11} +(1.66643 + 1.25896i) q^{12} +(3.89155 - 3.72070i) q^{13} +(4.06193 + 2.95117i) q^{14} +(-2.78493 + 3.06993i) q^{15} +(-0.665480 + 4.91277i) q^{16} +(0.620365 + 1.90929i) q^{17} +(-3.74108 - 3.85443i) q^{18} +(-1.77779 - 0.160004i) q^{19} +(2.81324 + 0.642104i) q^{20} +(-3.44729 - 3.42147i) q^{21} +(0.683412 + 0.292104i) q^{22} +(-1.96039 + 2.45825i) q^{23} +(0.699466 - 2.36152i) q^{24} +(-0.224581 + 0.691190i) q^{25} +(8.68533 + 4.18264i) q^{26} +(3.00710 + 4.23761i) q^{27} +(-0.899555 + 3.25947i) q^{28} +(-8.36135 + 3.57381i) q^{29} +(-6.89822 - 2.73702i) q^{30} +(-4.74592 + 0.642879i) q^{31} +(-5.88135 + 1.34238i) q^{32} +(-0.610200 - 0.380223i) q^{33} +(-2.81026 + 2.24111i) q^{34} +(-6.28268 - 2.35793i) q^{35} +(1.54500 - 3.27091i) q^{36} +(5.40787 + 6.78125i) q^{37} +(-0.850241 - 3.08078i) q^{38} +(-7.68542 - 5.28183i) q^{39} +(-0.456779 - 3.37208i) q^{40} +(6.21782 - 2.99434i) q^{41} +(3.56665 - 7.93127i) q^{42} +(4.85256 + 1.33922i) q^{43} +(-0.0224561 + 0.500024i) q^{44} +(6.19048 + 3.63577i) q^{45} +(-5.35412 - 1.73966i) q^{46} +(-4.69287 + 2.80386i) q^{47} +(8.56520 - 0.609829i) q^{48} +(0.339346 - 0.793940i) q^{49} +(-1.29994 + 0.0583803i) q^{50} +(3.01776 - 1.72736i) q^{51} +(-0.581951 + 6.46600i) q^{52} +(1.78313 + 1.55788i) q^{53} +(-5.21169 + 7.70683i) q^{54} +(-0.984361 - 0.133341i) q^{55} +(3.97142 - 0.357434i) q^{56} +(0.357701 + 3.07090i) q^{57} +(-11.2512 - 11.7678i) q^{58} +(12.5419 - 2.27602i) q^{59} +(0.0933634 - 4.99712i) q^{60} +(4.07784 + 2.69176i) q^{61} +(-4.06346 - 7.55118i) q^{62} +(-4.58153 + 7.05552i) q^{63} +(-0.488077 - 0.739405i) q^{64} +(-12.6773 - 2.30059i) q^{65} +(0.253476 - 1.26209i) q^{66} +(-4.12150 - 4.71744i) q^{67} +(-2.07807 - 1.24159i) q^{68} +(4.86163 + 2.45415i) q^{69} -12.0152i q^{70} +(1.38482 - 8.31157i) q^{71} +(-4.25150 - 0.350444i) q^{72} +(-12.0489 + 4.52201i) q^{73} +(-7.96523 + 13.3315i) q^{74} +(1.25139 + 0.136237i) q^{75} +(1.74128 - 1.26512i) q^{76} +(0.207841 - 1.14530i) q^{77} +(4.01886 - 16.2061i) q^{78} +(-6.35470 + 11.8090i) q^{79} +(10.4473 - 5.62196i) q^{80} +(6.12106 - 6.59792i) q^{81} +(8.93126 + 8.53916i) q^{82} +(-1.25897 - 6.93751i) q^{83} +(5.84479 + 0.372003i) q^{84} +(2.82383 - 3.88666i) q^{85} +(0.807938 + 8.97693i) q^{86} +(9.01780 + 12.9125i) q^{87} +(0.561366 - 0.182399i) q^{88} +(0.779885 - 0.892650i) q^{89} +(-2.20006 + 12.6645i) q^{90} +(3.35957 - 14.7193i) q^{91} +(-0.170098 - 3.78753i) q^{92} +(2.76916 + 7.81940i) q^{93} +(-7.65255 - 6.10271i) q^{94} +(2.19088 + 3.66691i) q^{95} +(4.35691 + 9.49707i) q^{96} +(-7.80012 + 16.1971i) q^{97} +(1.54438 + 0.0693583i) q^{98} +(-0.428786 + 1.16914i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 528 q - 20 q^{3} - 70 q^{4} - 30 q^{6} - 46 q^{7} - 26 q^{9} - 62 q^{10} - 55 q^{12} - 46 q^{13} - 22 q^{15} - 70 q^{16} - 18 q^{18} - 46 q^{19} - 2 q^{21} - 86 q^{22} - 13 q^{24} + 24 q^{25} + 7 q^{27}+ \cdots - 94 q^{99}+O(q^{100}) $ 528 * q - 20 * q^3 - 70 * q^4 - 30 * q^6 - 46 * q^7 - 26 * q^9 - 62 * q^10 - 55 * q^12 - 46 * q^13 - 22 * q^15 - 70 * q^16 - 18 * q^18 - 46 * q^19 - 2 * q^21 - 86 * q^22 - 13 * q^24 + 24 * q^25 + 7 * q^27 + 22 * q^28 - 55 * q^30 - 44 * q^31 - 28 * q^33 - 28 * q^34 + 8 * q^36 - 72 * q^37 - 144 * q^40 - 2 * q^42 - 76 * q^43 - 55 * q^45 - 30 * q^46 + 55 * q^48 - 72 * q^49 + 63 * q^51 + 78 * q^52 - 47 * q^54 - 70 * q^55 + 102 * q^57 - 166 * q^58 - 66 * q^60 - 74 * q^61 - 85 * q^63 + 58 * q^64 + 135 * q^66 + 52 * q^67 + 173 * q^69 + 154 * q^72 - 28 * q^73 + 127 * q^75 + 160 * q^76 + 184 * q^78 - 166 * q^79 + 102 * q^81 + 162 * q^82 + 168 * q^84 - 90 * q^85 + 87 * q^87 - 20 * q^88 + 60 * q^90 - 148 * q^91 + 5 * q^93 - 84 * q^94 + 120 * q^96 - 28 * q^97 - 94 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/213\mathbb{Z}\right)^\times$.

$n$	$7$	$143$
$\chi(n)$	$e\left(\frac{57}{70}\right)$	$-1$

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 $

$2$	0.629129	+	1.67631i	0.444861	+	1.18533i	0.947196	+	0.320656i	$0.103903\pi$
$2$	0.629129	+	1.67631i	0.444861	+	1.18533i	−0.502334	+	0.864673i	$0.667525\pi$
$3$	−0.353806	−	1.69553i	−0.204270	−	0.978915i
$3$	−0.353806	−	1.69553i	−0.204270	−	0.978915i
$4$	−0.908064	+	0.793352i	−0.454032	+	0.396676i
$5$	−1.40661	−	1.93603i	−0.629054	−	0.865819i	0.368918	−	0.929462i	$-0.379728\pi$
$5$	−1.40661	−	1.93603i	−0.629054	−	0.865819i	−0.997973	+	0.0636427i	$0.979728\pi$
$6$	2.61964	−	1.65980i	1.06946	−	0.677609i
$7$	2.34029	−	1.54481i	0.884548	−	0.583885i	−0.0249062	−	0.999690i	$-0.507929\pi$
$7$	2.34029	−	1.54481i	0.884548	−	0.583885i	0.909454	+	0.415805i	$0.136500\pi$
$8$	1.25218	+	0.673828i	0.442714	+	0.238234i
$9$	−2.74964	+	1.19978i	−0.916547	+	0.399926i
$10$	2.36045	−	3.57592i	0.746439	−	1.13081i
$11$	0.286857	−	0.300029i	0.0864907	−	0.0904622i	−0.678133	−	0.734939i	$-0.737211\pi$
$11$	0.286857	−	0.300029i	0.0864907	−	0.0904622i	0.764624	+	0.644477i	$0.222925\pi$
$12$	1.66643	+	1.25896i	0.481057	+	0.363430i
$13$	3.89155	−	3.72070i	1.07932	−	1.03194i	0.0799393	−	0.996800i	$-0.474527\pi$
$13$	3.89155	−	3.72070i	1.07932	−	1.03194i	0.999382	−	0.0351376i	$-0.0111869\pi$
$14$	4.06193	+	2.95117i	1.08560	+	0.788732i
$15$	−2.78493	+	3.06993i	−0.719066	+	0.792652i
$16$	−0.665480	+	4.91277i	−0.166370	+	1.22819i
$17$	0.620365	+	1.90929i	0.150461	+	0.463070i	0.997673	−	0.0681847i	$-0.0217207\pi$
$17$	0.620365	+	1.90929i	0.150461	+	0.463070i	−0.847212	+	0.531255i	$0.821721\pi$
$18$	−3.74108	−	3.85443i	−0.881781	−	0.908498i
$19$	−1.77779	−	0.160004i	−0.407852	−	0.0367073i	−0.116186	−	0.993228i	$-0.537067\pi$
$19$	−1.77779	−	0.160004i	−0.407852	−	0.0367073i	−0.291666	+	0.956520i	$0.594210\pi$
$20$	2.81324	+	0.642104i	0.629060	+	0.143579i
$21$	−3.44729	−	3.42147i	−0.752260	−	0.746626i
$22$	0.683412	+	0.292104i	0.145704	+	0.0622768i
$23$	−1.96039	+	2.45825i	−0.408769	+	0.512580i	−0.943016	−	0.332748i	$-0.892024\pi$
$23$	−1.96039	+	2.45825i	−0.408769	+	0.512580i	0.534246	+	0.845329i	$0.320595\pi$
$24$	0.699466	−	2.36152i	0.142778	−	0.482043i
$25$	−0.224581	+	0.691190i	−0.0449162	+	0.138238i
$26$	8.68533	+	4.18264i	1.70333	+	0.820282i
$27$	3.00710	+	4.23761i	0.578717	+	0.815528i
$28$	−0.899555	+	3.25947i	−0.170000	+	0.615981i
$29$	−8.36135	+	3.57381i	−1.55266	+	0.663640i	−0.986960	−	0.160969i	$-0.948538\pi$
$29$	−8.36135	+	3.57381i	−1.55266	+	0.663640i	−0.565704	+	0.824609i	$0.691395\pi$
$30$	−6.89822	−	2.73702i	−1.25944	−	0.499709i
$31$	−4.74592	+	0.642879i	−0.852393	+	0.115464i	−0.547380	−	0.836884i	$-0.684375\pi$
$31$	−4.74592	+	0.642879i	−0.852393	+	0.115464i	−0.305012	+	0.952348i	$0.598661\pi$
$32$	−5.88135	+	1.34238i	−1.03969	+	0.237302i
$33$	−0.610200	−	0.380223i	−0.106222	−	0.0661883i
$34$	−2.81026	+	2.24111i	−0.481956	+	0.384347i
$35$	−6.28268	−	2.35793i	−1.06197	−	0.398563i
$36$	1.54500	−	3.27091i	0.257501	−	0.545152i
$37$	5.40787	+	6.78125i	0.889048	+	1.11483i	0.992747	+	0.120222i	$0.0383608\pi$
$37$	5.40787	+	6.78125i	0.889048	+	1.11483i	−0.103699	+	0.994609i	$0.533068\pi$
$38$	−0.850241	−	3.08078i	−0.137927	−	0.499769i
$39$	−7.68542	−	5.28183i	−1.23065	−	0.845770i
$40$	−0.456779	−	3.37208i	−0.0722231	−	0.533172i
$41$	6.21782	−	2.99434i	0.971060	−	0.467638i	0.120039	−	0.992769i	$-0.461698\pi$
$41$	6.21782	−	2.99434i	0.971060	−	0.467638i	0.851021	+	0.525131i	$0.175984\pi$
$42$	3.56665	−	7.93127i	0.550346	−	1.22382i
$43$	4.85256	+	1.33922i	0.740008	+	0.204229i	0.615663	−	0.788010i	$-0.288888\pi$
$43$	4.85256	+	1.33922i	0.740008	+	0.204229i	0.124345	+	0.992239i	$0.460317\pi$
$44$	−0.0224561	+	0.500024i	−0.00338539	+	0.0753815i
$45$	6.19048	+	3.63577i	0.922822	+	0.541989i
$46$	−5.35412	−	1.73966i	−0.789422	−	0.256499i
$47$	−4.69287	+	2.80386i	−0.684525	+	0.408985i	−0.812633	−	0.582775i	$-0.801967\pi$
$47$	−4.69287	+	2.80386i	−0.684525	+	0.408985i	0.128108	+	0.991760i	$0.459110\pi$
$48$	8.56520	−	0.609829i	1.23628	−	0.0880213i
$49$	0.339346	−	0.793940i	0.0484781	−	0.113420i
$50$	−1.29994	+	0.0583803i	−0.183839	+	0.00825622i
$51$	3.01776	−	1.72736i	0.422571	−	0.241879i
$52$	−0.581951	+	6.46600i	−0.0807021	+	0.896674i
$53$	1.78313	+	1.55788i	0.244932	+	0.213991i	0.771647	−	0.636052i	$-0.219433\pi$
$53$	1.78313	+	1.55788i	0.244932	+	0.213991i	−0.526714	+	0.850042i	$0.676576\pi$
$54$	−5.21169	+	7.70683i	−0.709221	+	1.04877i
$55$	−0.984361	−	0.133341i	−0.132731	−	0.0179797i
$56$	3.97142	−	0.357434i	0.530703	−	0.0477641i
$57$	0.357701	+	3.07090i	0.0473787	+	0.406750i
$58$	−11.2512	−	11.7678i	−1.47735	−	1.54519i
$59$	12.5419	−	2.27602i	1.63281	−	0.296312i	0.716745	−	0.697335i	$-0.245631\pi$
$59$	12.5419	−	2.27602i	1.63281	−	0.296312i	0.916068	+	0.401023i	$0.131345\pi$
$60$	0.0933634	−	4.99712i	0.0120532	−	0.645125i
$61$	4.07784	+	2.69176i	0.522113	+	0.344644i	0.784309	−	0.620371i	$-0.213018\pi$
$61$	4.07784	+	2.69176i	0.522113	+	0.344644i	−0.262195	+	0.965015i	$0.584446\pi$
$62$	−4.06346	−	7.55118i	−0.516060	−	0.959001i
$63$	−4.58153	+	7.05552i	−0.577219	+	0.888912i
$64$	−0.488077	−	0.739405i	−0.0610096	−	0.0924256i
$65$	−12.6773	−	2.30059i	−1.57242	−	0.285353i
$66$	0.253476	−	1.26209i	0.0312007	−	0.155353i
$67$	−4.12150	−	4.71744i	−0.503521	−	0.576327i	0.443997	−	0.896028i	$-0.353560\pi$
$67$	−4.12150	−	4.71744i	−0.503521	−	0.576327i	−0.947518	+	0.319702i	$0.896417\pi$
$68$	−2.07807	−	1.24159i	−0.252003	−	0.150565i
$69$	4.86163	+	2.45415i	0.585272	+	0.295445i
$70$		−	12.0152i		−	1.43609i
$71$	1.38482	−	8.31157i	0.164348	−	0.986402i
$71$	1.38482	−	8.31157i	0.164348	−	0.986402i
$72$	−4.25150	−	0.350444i	−0.501044	−	0.0413002i
$73$	−12.0489	+	4.52201i	−1.41021	+	0.529262i	−0.936266	−	0.351292i	$-0.885743\pi$
$73$	−12.0489	+	4.52201i	−1.41021	+	0.529262i	−0.473947	+	0.880553i	$0.657171\pi$
$74$	−7.96523	+	13.3315i	−0.925939	+	1.54976i
$75$	1.25139	+	0.136237i	0.144498	+	0.0157313i
$76$	1.74128	−	1.26512i	0.199739	−	0.145119i
$77$	0.207841	−	1.14530i	0.0236857	−	0.130519i
$78$	4.01886	−	16.2061i	0.455046	−	1.83498i
$79$	−6.35470	+	11.8090i	−0.714959	+	1.32862i	0.220571	+	0.975371i	$0.429208\pi$
$79$	−6.35470	+	11.8090i	−0.714959	+	1.32862i	−0.935530	+	0.353246i	$0.885078\pi$
$80$	10.4473	−	5.62196i	1.16805	−	0.628554i
$81$	6.12106	−	6.59792i	0.680118	−	0.733103i
$82$	8.93126	+	8.53916i	0.986292	+	0.942992i
$83$	−1.25897	−	6.93751i	−0.138190	−	0.761491i	−0.976371	−	0.216099i	$-0.930667\pi$
$83$	−1.25897	−	6.93751i	−0.138190	−	0.761491i	0.838181	−	0.545392i	$-0.183619\pi$
$84$	5.84479	+	0.372003i	0.637719	+	0.0405888i
$85$	2.82383	−	3.88666i	0.306287	−	0.421568i
$86$	0.807938	+	8.97693i	0.0871222	+	0.968007i
$87$	9.01780	+	12.9125i	0.966810	+	1.38436i
$88$	0.561366	−	0.182399i	0.0598418	−	0.0194438i
$89$	0.779885	−	0.892650i	0.0826676	−	0.0946207i	−0.710250	−	0.703949i	$-0.751418\pi$
$89$	0.779885	−	0.892650i	0.0826676	−	0.0946207i	0.792918	+	0.609329i	$0.208561\pi$
$90$	−2.20006	+	12.6645i	−0.231907	+	1.33496i
$91$	3.35957	−	14.7193i	0.352179	−	1.54300i
$92$	−0.170098	−	3.78753i	−0.0177339	−	0.394877i
$93$	2.76916	+	7.81940i	0.287148	+	0.810834i
$94$	−7.65255	−	6.10271i	−0.789301	−	0.629446i
$95$	2.19088	+	3.66691i	0.224779	+	0.376217i
$96$	4.35691	+	9.49707i	0.444675	+	0.969290i
$97$	−7.80012	+	16.1971i	−0.791982	+	1.64457i	−0.0277610	+	0.999615i	$0.508838\pi$
$97$	−7.80012	+	16.1971i	−0.791982	+	1.64457i	−0.764221	+	0.644954i	$0.776877\pi$
$98$	1.54438	+	0.0693583i	0.156006	+	0.00700624i
$99$	−0.428786	+	1.16914i	−0.0430946	+	0.117503i
$100$	−0.344423	−	0.805817i	−0.0344423	−	0.0805817i
$101$	4.18960	+	8.69980i	0.416881	+	0.865662i	0.998632	+	0.0522952i	$0.0166537\pi$
$101$	4.18960	+	8.69980i	0.416881	+	0.865662i	−0.581751	+	0.813367i	$0.697632\pi$
$102$	4.79416	+	3.97197i	0.474692	+	0.393283i
$103$	−3.48496	−	15.2686i	−0.343384	−	1.50446i	−0.791880	−	0.610677i	$-0.790897\pi$
$103$	−3.48496	−	15.2686i	−0.343384	−	1.50446i	0.448496	−	0.893785i	$-0.351960\pi$
$104$	7.38005	−	2.03676i	0.723673	−	0.199721i
$105$	−1.77509	+	11.4867i	−0.173231	+	1.12099i
$106$	−1.48966	+	3.96919i	−0.144689	+	0.385521i
$107$	0.906671	−	2.41582i	0.0876512	−	0.233546i	−0.885098	−	0.465404i	$-0.845909\pi$
$107$	0.906671	−	2.41582i	0.0876512	−	0.233546i	0.972750	+	0.231858i	$0.0744805\pi$
$108$	−6.09256	−	1.46233i	−0.586257	−	0.140713i
$109$	10.8872	−	3.00469i	1.04281	−	0.287797i	0.297643	−	0.954677i	$-0.403799\pi$
$109$	10.8872	−	3.00469i	1.04281	−	0.287797i	0.745165	+	0.666880i	$0.232371\pi$
$110$	−0.395770	−	1.73398i	−0.0377352	−	0.165329i
$111$	9.58448	−	11.5685i	0.909718	−	1.09803i
$112$	6.03190	+	12.5254i	0.569961	+	1.18354i
$113$	2.17532	+	5.08940i	0.204637	+	0.478771i	0.990139	−	0.140087i	$-0.0447383\pi$
$113$	2.17532	+	5.08940i	0.204637	+	0.478771i	−0.785503	+	0.618858i	$0.787595\pi$
$114$	−4.92273	+	2.53161i	−0.461056	+	0.237107i
$115$	7.51674	+	0.337577i	0.700940	+	0.0314792i
$116$	4.75735	−	9.87874i	0.441709	−	0.917218i
$117$	−6.23635	+	14.8996i	−0.576551	+	1.37747i
$118$	11.7058	+	19.5921i	1.07760	+	1.80360i
$119$	4.40133	+	3.50994i	0.403469	+	0.321756i
$120$	−5.55585	+	1.96754i	−0.507177	+	0.179611i
$121$	0.485783	+	10.8168i	0.0441621	+	0.983345i
$122$	−1.94673	+	8.52917i	−0.176248	+	0.772195i
$123$	−7.27691	−	9.48308i	−0.656136	−	0.855061i
$124$	3.79957	−	4.34896i	0.341212	−	0.390548i
$125$	−9.72564	+	3.16005i	−0.869888	+	0.282644i
$126$	−14.7096	−	3.24123i	−1.31044	−	0.288752i
$127$	−1.09622	−	12.1800i	−0.0972738	−	1.08080i	−0.885257	−	0.465103i	$-0.846017\pi$
$127$	−1.09622	−	12.1800i	−0.0972738	−	1.08080i	0.787983	−	0.615697i	$-0.211126\pi$
$128$	−6.15934	+	8.47761i	−0.544414	+	0.749322i
$129$	0.553822	−	8.70148i	0.0487613	−	0.766123i
$130$	−4.11915	−	22.6984i	−0.361274	−	1.99078i
$131$	−0.157131	−	0.150233i	−0.0137286	−	0.0131259i	0.684167	−	0.729325i	$-0.260166\pi$
$131$	−0.157131	−	0.150233i	−0.0137286	−	0.0131259i	−0.697896	+	0.716199i	$0.745880\pi$
$132$	0.855751	−	0.138837i	0.0744836	−	0.0120842i
$133$	−4.40772	+	2.37189i	−0.382197	+	0.205669i
$134$	5.31492	−	9.87678i	0.459139	−	0.853224i
$135$	3.97433	−	11.7825i	0.342056	−	1.01408i
$136$	−0.509721	+	2.80880i	−0.0437082	+	0.240852i
$137$	2.57434	−	1.87037i	0.219941	−	0.159796i	−0.472359	−	0.881406i	$-0.656597\pi$
$137$	2.57434	−	1.87037i	0.219941	−	0.159796i	0.692300	+	0.721610i	$0.256597\pi$
$138$	−1.05532	+	9.69357i	−0.0898349	+	0.825172i
$139$	2.28817	−	3.82976i	0.194080	−	0.324836i	−0.745904	−	0.666053i	$-0.767982\pi$
$139$	2.28817	−	3.82976i	0.194080	−	0.324836i	0.939984	+	0.341218i	$0.110839\pi$
$140$	7.57575	−	2.84323i	0.640267	−	0.240296i
$141$	6.41439	+	6.96488i	0.540189	+	0.586548i
$142$	14.8040	−	2.90766i	1.24232	−	0.244005i
$143$		−	2.23489i		−	0.186891i
$144$	−4.06441	−	14.3068i	−0.338701	−	1.19223i
$145$	18.6801	+	11.1609i	1.55130	+	0.926860i
$146$	−15.1606	−	17.3527i	−1.25470	−	1.43612i
$147$	−1.46621	−	0.294471i	−0.120931	−	0.0242875i
$148$	−10.2906	−	1.86747i	−0.845883	−	0.153505i
$149$	−9.27295	−	14.0479i	−0.759670	−	1.15085i	−0.984317	−	0.176411i	$-0.943551\pi$
$149$	−9.27295	−	14.0479i	−0.759670	−	1.15085i	0.224647	−	0.974440i	$-0.427877\pi$
$150$	0.558912	+	2.18343i	0.0456350	+	0.178276i
$151$	−6.61004	−	12.2835i	−0.537917	−	0.999618i	−0.993969	−	0.109665i	$-0.965022\pi$
$151$	−6.61004	−	12.2835i	−0.537917	−	0.999618i	0.456051	−	0.889954i	$-0.349263\pi$
$152$	−2.11830	−	1.39828i	−0.171817	−	0.113415i
$153$	−3.99650	−	4.50555i	−0.323098	−	0.364252i
$154$	2.05063	−	0.372134i	0.165244	−	0.0299874i
$155$	7.92029	+	8.28397i	0.636173	+	0.665385i
$156$	11.1692	−	1.30100i	0.894252	−	0.104163i
$157$	20.6747	−	1.86076i	1.65002	−	0.148505i	0.774794	−	0.632213i	$-0.217853\pi$
$157$	20.6747	−	1.86076i	1.65002	−	0.148505i	0.875229	+	0.483708i	$0.160711\pi$
$158$	−23.7935	−	3.22304i	−1.89291	−	0.256412i
$159$	2.01054	−	3.57454i	0.159446	−	0.283480i
$160$	10.8717	+	9.49828i	0.859479	+	0.750905i
$161$	−0.790346	+	8.78146i	−0.0622880	+	0.692076i
$162$	14.9111	+	6.10984i	1.17153	+	0.480034i
$163$	−13.9677	+	0.627289i	−1.09403	+	0.0491331i	−0.584558	−	0.811352i	$-0.698732\pi$
$163$	−13.9677	+	0.627289i	−1.09403	+	0.0491331i	−0.509476	+	0.860485i	$0.670161\pi$
$164$	−3.27061	+	7.65198i	−0.255392	+	0.597519i
$165$	0.122190	+	1.71619i	0.00951249	+	0.133605i
$166$	10.8374	−	6.47502i	0.841142	−	0.502559i
$167$	−15.3886	−	5.00008i	−1.19081	−	0.386917i	−0.354437	−	0.935080i	$-0.615328\pi$
$167$	−15.3886	−	5.00008i	−1.19081	−	0.386917i	−0.836372	+	0.548162i	$0.815328\pi$
$168$	−2.01115	−	6.60719i	−0.155164	−	0.509756i
$169$	0.717290	−	15.9717i	0.0551761	−	1.22859i
$170$	8.29180	+	2.28839i	0.635952	+	0.175512i
$171$	5.08024	−	1.69300i	0.388496	−	0.129467i
$172$	−5.46891	+	2.63369i	−0.417000	+	0.200817i
$173$	−1.71300	−	12.6458i	−0.130237	−	0.961445i	−0.931656	−	0.363342i	$-0.881636\pi$
$173$	−1.71300	−	12.6458i	−0.130237	−	0.961445i	0.801419	−	0.598103i	$-0.204079\pi$
$174$	−15.9719	+	23.2402i	−1.21083	+	1.76184i
$175$	0.542174	+	1.96452i	0.0409845	+	0.148504i
$176$	1.28308	+	1.60893i	0.0967156	+	0.121277i
$177$	−8.29645	−	20.4599i	−0.623599	−	1.53786i
$178$	1.98700	+	0.745735i	0.148932	+	0.0558952i
$179$	8.02265	−	6.39785i	0.599641	−	0.478198i	−0.276002	−	0.961157i	$-0.589010\pi$
$179$	8.02265	−	6.39785i	0.599641	−	0.478198i	0.875643	+	0.482959i	$0.160438\pi$
$180$	−8.50580	+	1.60971i	−0.633985	+	0.119981i
$181$	−20.9536	+	4.78251i	−1.55747	+	0.355481i	−0.912613	−	0.408825i	$-0.865939\pi$
$181$	−20.9536	+	4.78251i	−1.55747	+	0.355481i	−0.644853	+	0.764307i	$0.723081\pi$
$182$	26.7876	−	3.62863i	1.98563	−	0.268972i
$183$	3.12119	−	7.86645i	0.230725	−	0.581505i
$184$	−4.11120	+	1.75721i	−0.303082	+	0.129543i
$185$	5.52196	−	20.0084i	0.405982	−	1.47104i
$186$	−11.3656	+	9.56138i	−0.833364	+	0.701074i
$187$	0.750797	+	0.361565i	0.0549037	+	0.0264403i
$188$	2.03698	−	6.26918i	0.148562	−	0.457227i
$189$	13.5838	+	5.27184i	0.988077	+	0.383470i
$190$	−4.76853	+	5.97954i	−0.345945	+	0.433802i
$191$	−8.66243	−	3.70250i	−0.626791	−	0.267903i	0.0560982	−	0.998425i	$-0.482134\pi$
$191$	−8.66243	−	3.70250i	−0.626791	−	0.267903i	−0.682889	+	0.730522i	$0.739277\pi$
$192$	−1.08100	+	1.08916i	−0.0780143	+	0.0786030i
$193$	−9.60636	−	2.19259i	−0.691481	−	0.157826i	−0.137682	−	0.990476i	$-0.543965\pi$
$193$	−9.60636	−	2.19259i	−0.691481	−	0.157826i	−0.553799	+	0.832651i	$0.686822\pi$
$194$	−32.0587	−	2.88533i	−2.30168	−	0.207155i
$195$	0.584590	+	22.3087i	0.0418634	+	1.59756i
$196$	0.321726	+	0.990170i	0.0229804	+	0.0707264i
$197$	0.198728	−	1.46707i	0.0141588	−	0.104524i	−0.982491	−	0.186309i	$-0.940348\pi$
$197$	0.198728	−	1.46707i	0.0141588	−	0.104524i	0.996650	+	0.0817842i	$0.0260618\pi$
$198$	−2.22960	+	0.0167610i	−0.158451	+	0.00119115i
$199$	2.71844	+	1.97506i	0.192705	+	0.140009i	0.679954	−	0.733254i	$-0.262000\pi$
$199$	2.71844	+	1.97506i	0.192705	+	0.140009i	−0.487249	+	0.873263i	$0.662000\pi$
$200$	−0.746960	+	0.714167i	−0.0528181	+	0.0504992i
$201$	−6.54034	+	8.65719i	−0.461320	+	0.610631i
$202$	−11.9477	+	12.4964i	−0.840641	+	0.879241i
$203$	−14.0471	+	21.2805i	−0.985915	+	1.49360i
$204$	−1.36991	+	3.96271i	−0.0959132	+	0.277445i
$205$	−14.5432	−	7.82602i	−1.01574	−	0.546593i
$206$	23.4024	−	15.4478i	1.63052	−	1.07630i
$207$	2.44101	−	9.11134i	0.169662	−	0.633282i
$208$	15.6892	+	21.5944i	1.08785	+	1.49730i
$209$	−0.557976	+	0.487489i	−0.0385960	+	0.0337203i
$210$	−20.3721	+	4.25104i	−1.40581	+	0.293350i
$211$	6.11110	+	16.2830i	0.420705	+	1.12097i	0.960283	+	0.279030i	$0.0900127\pi$
$211$	6.11110	+	16.2830i	0.420705	+	1.12097i	−0.539577	+	0.841936i	$0.681416\pi$
$212$	−2.85514			−0.196092
$213$	−14.5825	+	0.592678i	−0.999175	+	0.0406096i
$214$	4.62007			0.315821
$215$	−4.23288	−	11.2785i	−0.288680	−	0.769184i
$216$	0.910020	+	7.33253i	0.0619190	+	0.498916i
$217$	−10.1137	+	8.83609i	−0.686564	+	0.599833i
$218$	11.8863	+	16.3600i	0.805039	+	1.10804i
$219$	11.9302	+	18.8293i	0.806167	+	1.27237i
$220$	0.999649	−	0.659863i	0.0673963	−	0.0444879i
$221$	9.51807	+	5.12189i	0.640254	+	0.344536i
$222$	25.4222	+	8.78849i	1.70622	+	0.589845i
$223$	5.65925	−	8.57340i	0.378971	−	0.574117i	−0.594166	−	0.804343i	$-0.702518\pi$
$223$	5.65925	−	8.57340i	0.378971	−	0.574117i	0.973137	+	0.230225i	$0.0739463\pi$
$224$	−11.6904	+	12.2272i	−0.781095	+	0.816962i
$225$	−0.211757	−	2.16997i	−0.0141171	−	0.144665i
$226$	−7.16286	+	6.84839i	−0.476466	+	0.455548i
$227$	−0.0684500	−	0.0497318i	−0.00454319	−	0.00330082i	0.585511	−	0.810664i	$-0.300894\pi$
$227$	−0.0684500	−	0.0497318i	−0.00454319	−	0.00330082i	−0.590055	+	0.807363i	$0.700894\pi$
$228$	−2.76112	−	2.50479i	−0.182860	−	0.165884i
$229$	1.24223	−	9.17051i	0.0820889	−	0.606005i	−0.902444	−	0.430807i	$-0.858229\pi$
$229$	1.24223	−	9.17051i	0.0820889	−	0.606005i	0.984533	−	0.175198i	$-0.0560566\pi$
$230$	4.16312	+	12.8128i	0.274508	+	0.844848i
$231$	−2.01542	+	0.0528133i	−0.132605	+	0.00347486i
$232$	−12.8781	−	1.15905i	−0.845487	−	0.0760952i
$233$	19.0390	+	4.34552i	1.24728	+	0.284684i	0.794680	−	0.607028i	$-0.207638\pi$
$233$	19.0390	+	4.34552i	1.24728	+	0.284684i	0.452603	+	0.891712i	$0.350496\pi$
$234$	−28.8998	−	1.08027i	−1.88924	−	0.0706196i
$235$	12.0294	+	5.14161i	0.784711	+	0.335401i
$236$	−9.58315	+	12.0169i	−0.623810	+	0.782233i
$237$	22.2709	+	6.59648i	1.44665	+	0.428487i
$238$	−3.11474	+	9.58619i	−0.201899	+	0.621380i
$239$	0.875617	+	0.421675i	0.0566389	+	0.0272759i	0.461989	−	0.886886i	$-0.347136\pi$
$239$	0.875617	+	0.421675i	0.0566389	+	0.0272759i	−0.405350	+	0.914162i	$0.632850\pi$
$240$	−13.2285	−	15.7247i	−0.853898	−	1.01503i
$241$	2.04849	−	7.42255i	0.131955	−	0.478128i	−0.867871	−	0.496790i	$-0.834512\pi$
$241$	2.04849	−	7.42255i	0.131955	−	0.478128i	0.999826	+	0.0186616i	$0.00594053\pi$
$242$	−17.8267	+	7.61948i	−1.14594	+	0.489799i
$243$	−13.3526	−	8.04405i	−0.856573	−	0.516026i
$244$	−5.83845	+	0.790871i	−0.373768	+	0.0506303i
$245$	−2.01442	+	0.459778i	−0.128697	+	0.0293741i
$246$	11.3185	−	18.1644i	0.721638	−	1.15812i
$247$	−7.51367	+	5.99195i	−0.478083	+	0.381259i
$248$	−6.37595	−	2.39294i	−0.404874	−	0.151952i
$249$	−11.3173	+	4.58916i	−0.717207	+	0.290826i
$250$	−11.4159	−	14.3151i	−0.722005	−	0.905366i
$251$	−6.62584	−	24.0082i	−0.418219	−	1.51538i	−0.805035	−	0.593227i	$-0.797854\pi$
$251$	−6.62584	−	24.0082i	−0.418219	−	1.51538i	0.386816	−	0.922157i	$-0.373575\pi$
$252$	−1.43718	−	10.0416i	−0.0905340	−	0.632563i
$253$	0.175195	+	1.29334i	0.0110144	+	0.0813116i
$254$	19.7278	−	9.50040i	1.23783	−	0.596108i
$255$	−7.58904	−	3.41275i	−0.475244	−	0.213715i
$256$	−19.7942	−	5.46285i	−1.23714	−	0.341428i
$257$	−0.803783	+	17.8976i	−0.0501386	+	1.11642i	0.803415	+	0.595419i	$0.203014\pi$
$257$	−0.803783	+	17.8976i	−0.0501386	+	1.11642i	−0.853554	+	0.521004i	$0.825558\pi$
$258$	14.9348	−	4.54598i	0.929800	−	0.283020i
$259$	23.1318	+	7.51597i	1.43734	+	0.467020i
$260$	13.3370	−	7.96846i	0.827123	−	0.494183i
$261$	18.7029	−	19.8585i	1.15768	−	1.22921i
$262$	0.152981	−	0.357916i	0.00945119	−	0.0221122i
$263$	−5.35754	+	0.240608i	−0.330360	+	0.0148365i	−0.209427	−	0.977824i	$-0.567160\pi$
$263$	−5.35754	+	0.240608i	−0.330360	+	0.0148365i	−0.120933	+	0.992661i	$0.538589\pi$
$264$	−0.507877	−	0.887279i	−0.0312577	−	0.0546082i
$265$	0.507926	−	5.64352i	0.0312016	−	0.346679i
$266$	−6.74905	−	5.89646i	−0.413811	−	0.361535i
$267$	−1.78944	−	1.00649i	−0.109512	−	0.0615963i
$268$	7.48517	+	1.01394i	0.457230	+	0.0619360i
$269$	25.3718	−	2.28350i	1.54695	−	0.139228i	0.717001	−	0.697072i	$-0.245514\pi$
$269$	25.3718	−	2.28350i	1.54695	−	0.139228i	0.829945	+	0.557845i	$0.188372\pi$
$270$	22.2515	−	0.750515i	1.35418	−	0.0456749i
$271$	1.03632	+	1.08390i	0.0629519	+	0.0658425i	0.753521	−	0.657424i	$-0.228354\pi$
$271$	1.03632	+	1.08390i	0.0629519	+	0.0658425i	−0.690569	+	0.723267i	$0.742640\pi$
$272$	−9.79273	+	1.77712i	−0.593771	+	0.107754i
$273$	−26.1456	−	0.488489i	−1.58240	−	0.0295647i
$274$	4.75491	+	3.13869i	0.287255	+	0.189615i
$275$	0.142954	+	0.265654i	0.00862047	+	0.0160195i
$276$	−6.36168	+	1.62846i	−0.382928	+	0.0980216i
$277$	−5.56001	−	8.42306i	−0.334069	−	0.506093i	0.628252	−	0.778010i	$-0.283771\pi$
$277$	−5.56001	−	8.42306i	−0.334069	−	0.506093i	−0.962321	+	0.271918i	$0.912342\pi$
$278$	7.85941	+	1.42627i	0.471376	+	0.0855421i
$279$	12.2783	−	7.46175i	0.735081	−	0.446723i
$280$	−6.27823	−	7.18601i	−0.375196	−	0.429446i
$281$	2.29624	+	1.37194i	0.136982	+	0.0818430i	0.579755	−	0.814791i	$-0.303148\pi$
$281$	2.29624	+	1.37194i	0.136982	+	0.0818430i	−0.442773	+	0.896634i	$0.646005\pi$
$282$	−7.63980	+	15.1343i	−0.454943	+	0.901235i
$283$			6.76242i			0.401984i	0.979593	+	0.200992i	$0.0644165\pi$
$283$			6.76242i			0.401984i	−0.979593	+	0.200992i	$0.935583\pi$
$284$	5.33649	+	8.64610i	0.316663	+	0.513051i
$285$	5.44221	−	5.01207i	0.322369	−	0.296890i
$286$	3.74636	−	1.40603i	0.221527	−	0.0831405i
$287$	9.92582	−	16.6130i	0.585902	−	0.980635i
$288$	14.5611	−	10.7474i	0.858019	−	0.633296i
$289$	10.4928	−	7.62344i	0.617222	−	0.448438i
$290$	−6.95683	+	38.3353i	−0.408519	+	2.25113i
$291$	30.2224	+	7.49469i	1.77167	+	0.439347i
$292$	7.35359	−	13.6653i	0.430337	−	0.799699i
$293$	−6.62162	+	3.56324i	−0.386839	+	0.208167i	−0.655716	−	0.755008i	$-0.727633\pi$
$293$	−6.62162	+	3.56324i	−0.386839	+	0.208167i	0.268877	+	0.963174i	$0.413347\pi$
$294$	−0.428813	−	2.64308i	−0.0250089	−	0.154148i
$295$	−22.0479	−	21.0800i	−1.28368	−	1.22732i
$296$	2.20224	+	12.1353i	0.128003	+	0.705353i
$297$	2.13401	+	0.313371i	0.123828	+	0.0181836i
$298$	17.7148	−	24.3823i	1.02619	−	1.41243i
$299$	1.51747	+	16.8604i	0.0877573	+	0.975063i
$300$	−1.24443	+	0.869082i	−0.0718470	+	0.0501765i
$301$	13.4253	−	4.36213i	0.773819	−	0.251429i
$302$	16.4324	−	18.8084i	0.945578	−	1.08230i
$303$	13.2685	−	10.1816i	0.762253	−	0.584920i
$304$	1.96914	−	8.62738i	0.112938	−	0.494814i
$305$	−0.524597	−	11.6811i	−0.0300383	−	0.668855i
$306$	5.03838	−	9.53395i	0.288025	−	0.545019i
$307$	−0.296964	−	0.236821i	−0.0169486	−	0.0135161i	0.614979	−	0.788544i	$-0.289165\pi$
$307$	−0.296964	−	0.236821i	−0.0169486	−	0.0135161i	−0.631927	+	0.775028i	$0.717736\pi$
$308$	0.719891	+	1.20489i	0.0410196	+	0.0686552i
$309$	−24.6554	+	11.3110i	−1.40260	+	0.643460i
$310$	−8.90361	+	18.4885i	−0.505691	+	1.05008i
$311$	−21.5920	−	0.969699i	−1.22437	−	0.0549866i	−0.576732	−	0.816933i	$-0.695672\pi$
$311$	−21.5920	−	0.969699i	−1.22437	−	0.0549866i	−0.647640	+	0.761947i	$0.724244\pi$
$312$	−6.06450	−	11.7925i	−0.343335	−	0.667617i
$313$	6.49035	+	15.1849i	0.366856	+	0.858303i	0.996669	+	0.0815557i	$0.0259888\pi$
$313$	6.49035	+	15.1849i	0.366856	+	0.858303i	−0.629813	+	0.776747i	$0.716868\pi$
$314$	16.1263	+	33.4866i	0.910059	+	1.88976i
$315$	20.1041	−	1.05437i	1.13274	−	0.0594068i
$316$	−3.59822	−	15.7648i	−0.202416	−	0.886842i
$317$	−21.5368	+	5.94377i	−1.20963	+	0.333835i	−0.811970	−	0.583699i	$-0.801605\pi$
$317$	−21.5368	+	5.94377i	−1.20963	+	0.333835i	−0.397655	+	0.917535i	$0.630176\pi$
$318$	7.25692	+	1.12144i	0.406948	+	0.0628872i
$319$	−1.32626	+	3.53382i	−0.0742566	+	0.197856i
$320$	−0.744977	+	1.98498i	−0.0416455	+	0.110964i
$321$	−4.41687	−	0.682556i	−0.246526	−	0.0380966i
$322$	−15.2177	+	4.19981i	−0.848047	+	0.234046i
$323$	−0.797383	−	3.49356i	−0.0443676	−	0.194387i
$324$	−0.323842	+	10.8475i	−0.0179912	+	0.602639i
$325$	1.69774	+	3.52540i	0.0941738	+	0.195554i
$326$	−9.83901	−	23.0195i	−0.544932	−	1.27493i
$327$	−8.94651	−	17.3966i	−0.494743	−	0.962032i
$328$	9.80352	+	0.440277i	0.541309	+	0.0243102i
$329$	−6.65125	+	13.8115i	−0.366695	+	0.761451i
$330$	−2.79999	+	1.28453i	−0.154134	+	0.0707112i
$331$	4.30031	+	7.19751i	0.236366	+	0.395611i	0.953532	−	0.301292i	$-0.0974180\pi$
$331$	4.30031	+	7.19751i	0.236366	+	0.395611i	−0.717165	+	0.696903i	$0.754561\pi$
$332$	6.64712	+	5.30090i	0.364808	+	0.290925i
$333$	−23.0057	−	12.1578i	−1.26071	−	0.666242i
$334$	−1.29978	−	28.9418i	−0.0711207	−	1.58363i
$335$	−3.33576	+	14.6149i	−0.182252	+	0.798499i
$336$	19.1030	−	14.6588i	1.04215	−	0.799704i
$337$	−5.93863	+	6.79731i	−0.323498	+	0.370273i	−0.891709	−	0.452610i	$-0.850493\pi$
$337$	−5.93863	+	6.79731i	−0.323498	+	0.370273i	0.568211	+	0.822883i	$0.307636\pi$
$338$	27.2248	−	8.84586i	1.48083	−	0.481151i
$339$	7.85960	−	5.48898i	0.426875	−	0.298120i
$340$	0.519276	+	5.76963i	0.0281617	+	0.312902i
$341$	−1.16852	+	1.60833i	−0.0632789	+	0.0870959i
$342$	6.03411	+	7.45094i	0.326288	+	0.402901i
$343$	3.07262	+	16.9315i	0.165906	+	0.914216i
$344$	5.17389	+	4.94674i	0.278957	+	0.266710i
$345$	−2.08710	−	12.8643i	−0.112366	−	0.692590i
$346$	20.1206	−	10.8274i	1.08169	−	0.582083i
$347$	−13.1242	+	24.3889i	−0.704547	+	1.30927i	0.236712	+	0.971580i	$0.423930\pi$
$347$	−13.1242	+	24.3889i	−0.704547	+	1.30927i	−0.941258	+	0.337687i	$0.890355\pi$
$348$	−18.4329	−	4.57107i	−0.988106	−	0.245035i
$349$	−2.21852	+	12.2251i	−0.118755	+	0.654393i	0.868556	+	0.495592i	$0.165049\pi$
$349$	−2.21852	+	12.2251i	−0.118755	+	0.654393i	−0.987311	+	0.158802i	$0.949237\pi$
$350$	−2.95205	+	2.14479i	−0.157794	+	0.114644i
$351$	27.4692	+	5.30234i	1.46620	+	0.283018i
$352$	−1.28436	+	2.14965i	−0.0684564	+	0.114577i
$353$	26.2133	−	9.83802i	1.39519	−	0.523625i	0.463250	−	0.886228i	$-0.346683\pi$
$353$	26.2133	−	9.83802i	1.39519	−	0.523625i	0.931944	+	0.362602i	$0.118112\pi$
$354$	29.0775	−	26.7793i	1.54545	−	1.42330i
$355$	−18.0394	+	9.01007i	−0.957430	+	0.478205i
$356$			1.42931i			0.0757531i
$357$	4.39399	−	8.70442i	0.232555	−	0.460687i
$358$	15.7721	+	9.42336i	0.833579	+	0.498040i
$359$	−6.92094	−	7.92165i	−0.365273	−	0.418089i	0.540839	−	0.841126i	$-0.318107\pi$
$359$	−6.92094	−	7.92165i	−0.365273	−	0.418089i	−0.906112	+	0.423037i	$0.860964\pi$
$360$	5.30173	+	8.72397i	0.279425	+	0.459794i
$361$	−15.5597	−	2.82368i	−0.818934	−	0.148615i
$362$	−21.1995	−	32.1158i	−1.11422	−	1.68797i
$363$	18.1683	−	4.65071i	0.953590	−	0.244099i
$364$	8.62684	+	16.0314i	0.452169	+	0.840271i
$365$	25.7028	+	16.9663i	1.34535	+	0.888055i
$366$	15.1502	+	0.283058i	0.791915	+	0.0147957i
$367$	−37.1351	+	6.73903i	−1.93844	+	0.351775i	−0.938458	+	0.345392i	$0.887746\pi$
$367$	−37.1351	+	6.73903i	−1.93844	+	0.351775i	−0.999980	+	0.00638232i	$0.997968\pi$
$368$	−10.7722	−	11.2669i	−0.561541	−	0.587326i
$369$	−13.5042	+	15.6934i	−0.703002	+	0.816965i
$370$	37.0142	−	3.33134i	1.92428	−	0.173188i
$371$	6.57968	+	0.891278i	0.341600	+	0.0462729i
$372$	−8.71811	−	4.90360i	−0.452013	−	0.254240i
$373$	−12.5051	−	10.9254i	−0.647492	−	0.565696i	0.270291	−	0.962779i	$-0.412880\pi$
$373$	−12.5051	−	10.9254i	−0.647492	−	0.565696i	−0.917783	+	0.397082i	$0.870023\pi$
$374$	−0.133746	+	1.48604i	−0.00691584	+	0.0768413i
$375$	8.79895	+	15.3721i	0.454376	+	0.793810i
$376$	−7.76565	+	0.348756i	−0.400483	+	0.0179857i
$377$	−19.2415	+	45.0178i	−0.990988	+	2.31853i
$378$	−0.291249	+	26.0873i	−0.0149802	+	1.34179i
$379$	8.51515	−	5.08757i	0.437394	−	0.261331i	−0.277279	−	0.960789i	$-0.589433\pi$
$379$	8.51515	−	5.08757i	0.437394	−	0.261331i	0.714673	+	0.699459i	$0.246575\pi$
$380$	−4.89860	−	1.59165i	−0.251293	−	0.0816501i
$381$	−20.2637	+	6.16804i	−1.03814	+	0.315998i
$382$	0.756746	−	16.8502i	0.0387185	−	0.862134i
$383$	35.7198	+	9.85803i	1.82520	+	0.503722i	0.998281	−	0.0586063i	$-0.0186656\pi$
$383$	35.7198	+	9.85803i	1.82520	+	0.503722i	0.826914	+	0.562328i	$0.190094\pi$
$384$	16.5533	+	7.44392i	0.844730	+	0.379871i
$385$	−2.50968	+	1.20860i	−0.127905	+	0.0615959i
$386$	−2.36818	−	17.4826i	−0.120537	−	0.889843i
$387$	−14.9496	+	2.13962i	−0.759929	+	0.108763i
$388$	−5.76700	−	20.8963i	−0.292775	−	1.06085i
$389$	−2.83126	−	3.55029i	−0.143550	−	0.180007i	0.704858	−	0.709348i	$-0.251011\pi$
$389$	−2.83126	−	3.55029i	−0.143550	−	0.180007i	−0.848409	+	0.529341i	$0.822439\pi$
$390$	−37.0284	+	15.0150i	−1.87501	+	0.760313i
$391$	−5.90966	−	2.21793i	−0.298864	−	0.112166i
$392$	0.959903	−	0.765497i	0.0484824	−	0.0386635i
$393$	−0.199130	+	0.319574i	−0.0100448	+	0.0161204i
$394$	2.58429	−	0.589847i	0.130195	−	0.0297161i
$395$	31.8012	−	4.30776i	1.60009	−	0.216747i
$396$	−0.538172	−	1.40183i	−0.0270442	−	0.0704446i
$397$	14.8472	−	6.34600i	0.745160	−	0.318497i	0.0132629	−	0.999912i	$-0.495778\pi$
$397$	14.8472	−	6.34600i	0.745160	−	0.318497i	0.731897	+	0.681416i	$0.238635\pi$
$398$	−1.60057	+	5.79952i	−0.0802291	+	0.290704i
$399$	5.58109	+	6.63422i	0.279404	+	0.332126i
$400$	−3.24620	−	1.56329i	−0.162310	−	0.0781645i
$401$	−4.51498	+	13.8957i	−0.225467	+	0.693918i	0.772776	+	0.634678i	$0.218867\pi$
$401$	−4.51498	+	13.8957i	−0.225467	+	0.693918i	−0.998244	+	0.0592391i	$0.981133\pi$
$402$	−18.6268	−	5.51714i	−0.929022	−	0.275170i
$403$	−16.0770	+	20.1600i	−0.800854	+	1.00424i
$404$	−10.7064	−	4.57615i	−0.532665	−	0.227672i
$405$	−21.3837	−	2.56986i	−1.06257	−	0.127698i
$406$	−44.5101	−	10.1591i	−2.20900	−	0.504190i
$407$	3.58586	+	0.322733i	0.177744	+	0.0159973i
$408$	4.94274	−	0.129523i	0.244702	−	0.00641232i
$409$	3.54265	+	10.9032i	0.175173	+	0.539127i	0.999641	−	0.0267812i	$-0.00852572\pi$
$409$	3.54265	+	10.9032i	0.175173	+	0.539127i	−0.824468	+	0.565908i	$0.808526\pi$
$410$	3.96928	−	29.3024i	0.196029	−	1.44714i
$411$	−4.08208	−	3.70312i	−0.201354	−	0.182662i
$412$	15.2780	+	11.1001i	0.752691	+	0.546862i
$413$	25.8356	−	24.7014i	1.27129	−	1.21548i
$414$	16.8091	−	1.64032i	0.826123	−	0.0806174i
$415$	−11.6604	+	12.1958i	−0.572384	+	0.598667i
$416$	−17.8930	+	27.1067i	−0.877276	+	1.32902i
$417$	−7.30303	−	2.52467i	−0.357631	−	0.123634i
$418$	−1.16822	−	0.628647i	−0.0571396	−	0.0307481i
$419$	4.64209	−	3.06422i	0.226781	−	0.149697i	−0.432398	−	0.901683i	$-0.642332\pi$
$419$	4.64209	−	3.06422i	0.226781	−	0.149697i	0.659179	+	0.751986i	$0.270904\pi$
$420$	−7.50112	−	11.8390i	−0.366017	−	0.577682i
$421$	−5.84685	−	8.04749i	−0.284958	−	0.392211i	0.642410	−	0.766361i	$-0.277935\pi$
$421$	−5.84685	−	8.04749i	−0.284958	−	0.392211i	−0.927368	+	0.374150i	$0.877935\pi$
$422$	−23.4506	+	20.4882i	−1.14156	+	0.997349i
$423$	9.53970	−	13.3400i	0.463836	−	0.648614i
$424$	1.18307	+	3.15227i	0.0574548	+	0.153088i
$425$	−1.45900			−0.0707720
$426$	−10.1678	−	24.0719i	−0.492630	−	1.16629i
$427$	13.7016			0.663066
$428$	1.09328	+	2.91302i	0.0528455	+	0.140806i
$429$	−3.78932	+	0.790718i	−0.182950	+	0.0381762i
$430$	16.2431	−	14.1912i	0.783314	−	0.684361i
$431$	−12.2546	−	16.8670i	−0.590283	−	0.812454i	0.404493	−	0.914541i	$-0.367448\pi$
$431$	−12.2546	−	16.8670i	−0.590283	−	0.812454i	−0.994775	+	0.102087i	$0.967448\pi$
$432$	−22.8196	+	11.9532i	−1.09791	+	0.575097i
$433$	−22.5206	+	14.8657i	−1.08227	+	0.714401i	−0.960534	−	0.278161i	$-0.910275\pi$
$433$	−22.5206	+	14.8657i	−1.08227	+	0.714401i	−0.121737	+	0.992562i	$0.538847\pi$
$434$	−21.1749	−	11.3947i	−1.01643	−	0.546962i
$435$	12.3144	−	35.6215i	0.590432	−	1.70792i
$436$	−7.50254	+	11.3659i	−0.359306	+	0.544326i
$437$	3.87848	−	4.05657i	0.185533	−	0.194052i
$438$	−24.0581	+	31.8447i	−1.14954	+	1.52160i
$439$	24.4146	−	23.3427i	1.16524	−	1.11409i	0.173635	−	0.984810i	$-0.444449\pi$
$439$	24.4146	−	23.3427i	1.16524	−	1.11409i	0.991609	−	0.129277i	$-0.0412656\pi$
$440$	−1.14275	−	0.830258i	−0.0544785	−	0.0395810i
$441$	0.0194718	+	2.59019i	0.000927227	+	0.123342i
$442$	−2.59778	+	19.1775i	−0.123564	+	0.912183i
$443$	5.52780	+	17.0128i	0.262634	+	0.808304i	0.992229	+	0.124425i	$0.0397085\pi$
$443$	5.52780	+	17.0128i	0.262634	+	0.808304i	−0.729595	+	0.683879i	$0.760292\pi$
$444$	0.474533	+	18.1088i	0.0225204	+	0.859404i
$445$	−2.82519	−	0.254272i	−0.133927	−	0.0120536i
$446$	17.9321	+	4.09288i	0.849108	+	0.193803i
$447$	−20.5378	+	20.6928i	−0.971407	+	0.978737i
$448$	−2.28449	−	0.976436i	−0.107932	−	0.0461323i
$449$	−9.31007	+	11.6745i	−0.439369	+	0.550952i	−0.951377	−	0.308029i	$-0.900331\pi$
$449$	−9.31007	+	11.6745i	−0.439369	+	0.550952i	0.512008	+	0.858981i	$0.328902\pi$
$450$	3.50432	−	1.72016i	0.165195	−	0.0810893i
$451$	0.885236	−	2.72448i	0.0416841	−	0.128291i
$452$	−6.01301	−	2.89572i	−0.282828	−	0.136203i
$453$	−18.4884	+	15.5535i	−0.868660	+	0.730767i
$454$	0.0403020	−	0.146031i	0.00189147	−	0.00685358i
$455$	−33.2225	+	14.2000i	−1.55750	+	0.665706i
$456$	−1.62135	+	4.08636i	−0.0759267	+	0.191361i
$457$	3.77469	−	0.511317i	0.176573	−	0.0239184i	−0.0454131	−	0.998968i	$-0.514460\pi$
$457$	3.77469	−	0.511317i	0.176573	−	0.0239184i	0.221986	+	0.975050i	$0.428746\pi$
$458$	16.1541	−	3.68708i	0.754833	−	0.172286i
$459$	−6.22531	+	8.37028i	−0.290573	+	0.390691i
$460$	−7.09350	+	5.65688i	−0.330736	+	0.263753i
$461$	29.0852	+	10.9158i	1.35463	+	0.508402i	0.919898	−	0.392158i	$-0.128271\pi$
$461$	29.0852	+	10.9158i	1.35463	+	0.508402i	0.434733	+	0.900559i	$0.356843\pi$
$462$	−1.35649	−	3.34524i	−0.0631097	−	0.155635i
$463$	11.0209	+	13.8198i	0.512184	+	0.642259i	0.968929	−	0.247339i	$-0.0795562\pi$
$463$	11.0209	+	13.8198i	0.512184	+	0.642259i	−0.456745	+	0.889598i	$0.650985\pi$
$464$	−11.9930	−	43.4557i	−0.556762	−	2.01738i
$465$	11.2435	−	16.3600i	0.521403	−	0.758677i
$466$	4.69353	+	34.6491i	0.217424	+	1.60509i
$467$	−31.2869	+	15.0670i	−1.44778	+	0.697216i	−0.982209	−	0.187792i	$-0.939867\pi$
$467$	−31.2869	+	15.0670i	−1.44778	+	0.697216i	−0.465575	+	0.885008i	$0.654153\pi$
$468$	−6.15762	−	18.4774i	−0.284636	−	0.854119i
$469$	−16.9331	−	4.67323i	−0.781897	−	0.215790i
$470$	−1.05088	+	23.3997i	−0.0484736	+	1.07935i
$471$	−10.4698	−	34.3963i	−0.482424	−	1.58490i
$472$	17.2384	+	5.60109i	0.793460	+	0.257811i
$473$	1.79380	−	1.07174i	0.0824788	−	0.0492788i
$474$	2.95352	+	41.4829i	0.135659	+	1.90537i
$475$	0.509850	−	1.19285i	0.0233935	−	0.0547319i
$476$	−6.78131	+	0.304549i	−0.310821	+	0.0139590i
$477$	−6.77208	−	2.14424i	−0.310072	−	0.0981778i
$478$	−0.155981	+	1.73309i	−0.00713441	+	0.0792698i
$479$	−24.5008	−	21.4057i	−1.11947	−	0.978050i	−0.119577	−	0.992825i	$-0.538154\pi$
$479$	−24.5008	−	21.4057i	−1.11947	−	0.978050i	−0.999891	+	0.0147749i	$0.995297\pi$
$480$	12.2581	−	21.7938i	0.559505	−	0.994744i
$481$	46.2760	+	6.26851i	2.11001	+	0.285820i
$482$	13.7312	−	1.23583i	0.625441	−	0.0562907i
$483$	15.1689	−	1.76688i	0.690207	−	0.0803959i
$484$	−9.02264	−	9.43695i	−0.410120	−	0.428952i
$485$	42.3298	−	7.68173i	1.92210	−	0.348809i
$486$	5.08378	−	27.4439i	0.230605	−	1.24488i
$487$	30.3783	+	20.0525i	1.37657	+	0.908667i	0.999844	−	0.0176574i	$-0.00562083\pi$
$487$	30.3783	+	20.0525i	1.37657	+	0.908667i	0.376727	+	0.926324i	$0.377049\pi$
$488$	3.29242	+	6.11833i	0.149041	+	0.276964i
$489$	6.00545	+	23.4607i	0.271576	+	1.06093i
$490$	−2.03806	−	3.08753i	−0.0920702	−	0.139480i
$491$	−12.7055	−	2.30571i	−0.573391	−	0.104055i	−0.115886	−	0.993262i	$-0.536971\pi$
$491$	−12.7055	−	2.30571i	−0.573391	−	0.104055i	−0.457504	+	0.889207i	$0.651257\pi$
$492$	14.1313	+	2.83810i	0.637089	+	0.127951i
$493$	−12.0105	−	13.7471i	−0.540926	−	0.619140i
$494$	−14.7714	−	8.82552i	−0.664598	−	0.397079i
$495$	2.86662	−	0.814376i	0.128845	−	0.0366035i
$496$		−	23.7435i		−	1.06611i
$497$	−9.59894	−	21.5908i	−0.430571	−	0.968480i
$498$	−14.8129	−	16.0842i	−0.663783	−	0.720748i
$499$	22.6540	−	8.50219i	1.01413	−	0.380610i	0.211688	−	0.977337i	$-0.432104\pi$
$499$	22.6540	−	8.50219i	1.01413	−	0.380610i	0.802444	+	0.596727i	$0.203533\pi$
$500$	6.32447	−	10.5854i	0.282839	−	0.473393i
$501$	−3.03317	+	27.8610i	−0.135512	+	1.24474i
$502$	36.0766	−	26.2112i	1.61018	−	1.16986i
$503$	4.95250	−	27.2905i	0.220821	−	1.21682i	−0.662863	−	0.748741i	$-0.730659\pi$
$503$	4.95250	−	27.2905i	0.220821	−	1.21682i	0.883684	−	0.468084i	$-0.155056\pi$
$504$	−10.4911	+	5.74763i	−0.467312	+	0.256020i
$505$	10.9499	−	20.3484i	0.487266	−	0.905492i
$506$	−2.05782	+	1.10736i	−0.0914811	+	0.0492281i
$507$	−27.3343	+	4.43470i	−1.21396	+	0.196952i
$508$	10.6585	+	10.1905i	0.472893	+	0.452132i
$509$	−2.59495	−	14.2993i	−0.115019	−	0.633806i	−0.989008	−	0.147861i	$-0.952761\pi$
$509$	−2.59495	−	14.2993i	−0.115019	−	0.633806i	0.873989	−	0.485945i	$-0.161525\pi$
$510$	0.946343	−	14.8686i	0.0419048	−	0.658394i
$511$	−21.2122	+	29.1961i	−0.938373	+	1.29156i
$512$	−1.41704	−	15.7446i	−0.0626248	−	0.695819i
$513$	−4.66795	−	8.01471i	−0.206095	−	0.353858i
$514$	−30.5076	+	9.91253i	−1.34563	+	0.437223i
$515$	−24.6585	+	28.2240i	−1.08658	+	1.24370i
$516$	6.40043	+	8.34088i	0.281763	+	0.367187i
$517$	−0.504944	+	2.21230i	−0.0222074	+	0.0972970i
$518$	1.95379	+	43.5045i	0.0858446	+	1.91148i
$519$	−20.8353	+	7.37861i	−0.914569	+	0.323885i
$520$	−14.3241	−	11.4231i	−0.628152	−	0.500935i
$521$	−14.6412	−	24.5052i	−0.641443	−	1.07359i	−0.990634	−	0.136543i	$-0.956401\pi$
$521$	−14.6412	−	24.5052i	−0.641443	−	1.07359i	0.349191	−	0.937051i	$-0.386456\pi$
$522$	45.0555	+	18.8583i	1.97202	+	0.825407i
$523$	−4.49390	+	9.33169i	−0.196505	+	0.408046i	−0.975817	−	0.218590i	$-0.929854\pi$
$523$	−4.49390	+	9.33169i	−0.196505	+	0.408046i	0.779312	+	0.626636i	$0.215569\pi$
$524$	0.261873	+	0.0117607i	0.0114400	+	0.000513770i
$525$	3.13908	−	1.61433i	0.137001	−	0.0704553i
$526$	−3.77392	−	8.82952i	−0.164551	−	0.384986i
$527$	−4.17164	−	8.66251i	−0.181720	−	0.377345i
$528$	2.27402	−	2.74474i	0.0989642	−	0.119450i
$529$	2.91812	+	12.7851i	0.126875	+	0.555874i
$530$	9.77983	−	2.69906i	0.424809	−	0.117240i
$531$	−31.7550	+	21.3057i	−1.37805	+	0.924589i
$532$	2.12074	−	5.65070i	0.0919459	−	0.244989i
$533$	13.0559	−	34.7873i	0.565514	−	1.50681i
$534$	0.561401	−	3.63287i	0.0242942	−	0.157210i
$535$	−5.95242	+	1.64276i	−0.257346	+	0.0710229i
$536$	−1.98213	−	8.68428i	−0.0856150	−	0.375104i
$537$	−13.6862	−	11.3390i	−0.590604	−	0.489316i
$538$	19.7900	+	41.0943i	0.853207	+	1.77170i
$539$	−0.140861	−	0.329561i	−0.00606732	−	0.0141952i
$540$	5.73872	+	13.8523i	0.246955	+	0.596108i
$541$	21.7490	+	0.976750i	0.935063	+	0.0419937i	0.507180	−	0.861840i	$-0.330688\pi$
$541$	21.7490	+	0.976750i	0.935063	+	0.0419937i	0.427883	+	0.903834i	$0.359259\pi$
$542$	−1.16498	+	2.41910i	−0.0500402	+	0.103909i
$543$	15.5224	+	33.8353i	0.666130	+	1.45201i
$544$	−6.21157	−	10.3964i	−0.266319	−	0.445743i
$545$	−21.1312	−	16.8516i	−0.905163	−	0.721843i
$546$	−15.6301	−	44.1354i	−0.668906	−	1.88882i
$547$	−0.957022	−	21.3097i	−0.0409193	−	0.911139i	−0.909529	−	0.415641i	$-0.863557\pi$
$547$	−0.957022	−	21.3097i	−0.0409193	−	0.911139i	0.868609	−	0.495498i	$-0.165014\pi$
$548$	−0.853807	+	3.74077i	−0.0364728	+	0.159798i
$549$	−14.4421	−	2.50886i	−0.616374	−	0.107076i
$550$	−0.355381	+	0.406766i	−0.0151535	+	0.0173446i
$551$	15.4365	−	5.01562i	0.657617	−	0.213673i
$552$	4.43398	+	6.34895i	0.188723	+	0.270229i
$553$	3.37086	+	37.4534i	0.143344	+	1.59268i
$554$	10.6217	−	14.6195i	0.451272	−	0.621123i
$555$	−35.8785	−	2.28355i	−1.52296	−	0.0969315i
$556$	0.960536	+	5.29299i	0.0407358	+	0.224473i
$557$	−5.25943	−	5.02853i	−0.222849	−	0.213066i	0.571377	−	0.820688i	$-0.306409\pi$
$557$	−5.25943	−	5.02853i	−0.222849	−	0.213066i	−0.794227	+	0.607622i	$0.792124\pi$
$558$	20.2328	+	15.8878i	0.856523	+	0.672583i
$559$	23.8668	−	12.8433i	1.00946	−	0.543213i
$560$	15.7650	−	29.2962i	0.666192	−	1.23799i
$561$	0.347407	−	1.40092i	0.0146675	−	0.0591470i
$562$	−0.855162	+	4.71233i	−0.0360728	+	0.198778i
$563$	−5.58110	+	4.05491i	−0.235215	+	0.170894i	−0.699149	−	0.714976i	$-0.746438\pi$
$563$	−5.58110	+	4.05491i	−0.235215	+	0.170894i	0.463934	+	0.885870i	$0.346438\pi$
$564$	−11.3503	−	1.23568i	−0.477933	−	0.0520317i
$565$	6.79342	−	11.3703i	0.285802	−	0.478351i
$566$	−11.3359	+	4.25443i	−0.476483	+	0.178827i
$567$	4.13251	−	24.8970i	0.173549	−	1.04557i
$568$	7.33463	−	9.47448i	0.307754	−	0.397540i
$569$			13.4735i			0.564838i	0.959291	+	0.282419i	$0.0911369\pi$
$569$			13.4735i			0.564838i	−0.959291	+	0.282419i	$0.908863\pi$
$570$	11.8256	+	5.96958i	0.495321	+	0.250038i
$571$	−10.3032	−	6.15586i	−0.431174	−	0.257615i	0.280875	−	0.959744i	$-0.409375\pi$
$571$	−10.3032	−	6.15586i	−0.431174	−	0.257615i	−0.712049	+	0.702130i	$0.752233\pi$
$572$	1.77305	+	2.02942i	0.0741351	+	0.0848544i
$573$	−3.21287	+	15.9974i	−0.134220	+	0.668300i
$574$	34.0932	+	6.18700i	1.42302	+	0.258240i
$575$	−1.25885	−	1.90708i	−0.0524977	−	0.0795306i
$576$	2.22916	+	1.44751i	0.0928816	+	0.0603131i
$577$	−15.6305	−	29.0463i	−0.650706	−	1.20921i	−0.965586	−	0.260083i	$-0.916250\pi$
$577$	−15.6305	−	29.0463i	−0.650706	−	1.20921i	0.314881	−	0.949131i	$-0.398035\pi$
$578$	19.3805	+	12.7930i	0.806124	+	0.532118i
$579$	−0.318807	+	17.0636i	−0.0132492	+	0.709140i
$580$	−25.8173	+	4.68514i	−1.07200	+	0.194540i
$581$	−13.6635	−	14.2909i	−0.566859	−	0.592888i
$582$	6.45040	+	55.3773i	0.267378	+	2.29546i
$583$	0.978912	−	0.0881037i	0.0405424	−	0.00364888i
$584$	−18.1344	−	2.45648i	−0.750409	−	0.101650i
$585$	37.6182	−	8.88414i	1.55532	−	0.367314i
$586$	−10.1389	−	8.85813i	−0.418836	−	0.365926i
$587$	1.96436	−	21.8258i	0.0810779	−	0.900849i	−0.847764	−	0.530373i	$-0.822052\pi$
$587$	1.96436	−	21.8258i	0.0810779	−	0.900849i	0.928842	−	0.370476i	$-0.120805\pi$
$588$	1.56503	−	0.895824i	0.0645409	−	0.0369432i
$589$	8.54010	−	0.383536i	0.351889	−	0.0158033i
$590$	21.4656	−	50.2212i	0.883723	−	2.06757i
$591$	−2.55777	+	0.182110i	−0.105213	+	0.00749099i
$592$	−36.9136	+	22.0548i	−1.51714	+	0.906448i
$593$	6.41899	+	2.08566i	0.263596	+	0.0856477i	0.437834	−	0.899056i	$-0.355746\pi$
$593$	6.41899	+	2.08566i	0.263596	+	0.0856477i	−0.174237	+	0.984704i	$0.555746\pi$
$594$	0.817265	+	3.77442i	0.0335328	+	0.154866i
$595$	0.604409	−	13.4582i	0.0247784	−	0.551733i
$596$	19.5654	+	5.39970i	0.801429	+	0.221180i
$597$	2.38698	−	5.30799i	0.0976925	−	0.217242i
$598$	−27.3086	+	13.1511i	−1.11673	+	0.537789i
$599$	3.83753	+	28.3298i	0.156797	+	1.15752i	0.882772	+	0.469803i	$0.155675\pi$
$599$	3.83753	+	28.3298i	0.156797	+	1.15752i	−0.725974	+	0.687722i	$0.758611\pi$
$600$	1.47517	+	1.01382i	0.0602236	+	0.0413889i
$601$	−12.0419	−	43.6330i	−0.491201	−	1.77983i	−0.616112	−	0.787659i	$-0.711293\pi$
$601$	−12.0419	−	43.6330i	−0.491201	−	1.77983i	0.124911	−	0.992168i	$-0.460135\pi$
$602$	15.7585	+	19.7605i	0.642268	+	0.805379i
$603$	16.9925	+	8.02637i	0.691989	+	0.326859i
$604$	15.7475	+	5.91013i	0.640756	+	0.240480i
$605$	20.2583	−	16.1555i	0.823618	−	0.656814i
$606$	25.4151	+	15.8365i	1.03242	+	0.643312i
$607$	−24.1208	+	5.50541i	−0.979033	+	0.223458i	−0.681954	−	0.731395i	$-0.738870\pi$
$607$	−24.1208	+	5.50541i	−0.979033	+	0.223458i	−0.297079	+	0.954853i	$0.596012\pi$
$608$	10.6706	−	1.44543i	0.432749	−	0.0586198i
$609$	41.0517	+	16.2881i	1.66350	+	0.660029i
$610$	19.2510	−	8.22828i	0.779451	−	0.333153i
$611$	−7.83021	+	28.3721i	−0.316776	+	1.14781i
$612$	7.20357	+	0.920699i	0.291187	+	0.0372171i
$613$	9.62949	+	4.63732i	0.388932	+	0.187300i	0.618122	−	0.786082i	$-0.287894\pi$
$613$	9.62949	+	4.63732i	0.388932	+	0.187300i	−0.229191	+	0.973382i	$0.573608\pi$
$614$	0.210156	−	0.646795i	0.00848122	−	0.0261025i
$615$	−8.12378	+	27.4273i	−0.327582	+	1.10597i
$616$	1.03199	−	1.29407i	0.0415800	−	0.0521397i
$617$	17.6566	+	7.54678i	0.710827	+	0.303822i	0.717893	−	0.696153i	$-0.245106\pi$
$617$	17.6566	+	7.54678i	0.710827	+	0.303822i	−0.00706641	+	0.999975i	$0.502249\pi$
$618$	−34.4722	−	34.2140i	−1.38667	−	1.37629i
$619$	−12.9205	−	2.94903i	−0.519320	−	0.118532i	−0.0451768	−	0.998979i	$-0.514385\pi$
$619$	−12.9205	−	2.94903i	−0.519320	−	0.118532i	−0.474144	+	0.880447i	$0.657242\pi$
$620$	−13.7642	−	1.23880i	−0.552785	−	0.0497515i
$621$	−16.3122	−	0.915155i	−0.654586	−	0.0367239i
$622$	−11.9587	−	36.8050i	−0.479499	−	1.47575i
$623$	0.446181	−	3.29384i	0.0178759	−	0.131965i
$624$	31.0629	−	34.2418i	1.24351	−	1.37077i
$625$	22.7379	+	16.5201i	0.909517	+	0.660803i
$626$	−21.3714	+	20.4331i	−0.854171	+	0.816671i
$627$	1.02397	+	0.773588i	0.0408933	+	0.0308941i
$628$	−17.2977	+	18.0920i	−0.690255	+	0.721950i
$629$	−9.59250	+	14.5320i	−0.382478	+	0.579430i
$630$	14.4155	+	33.0374i	0.574328	+	1.31624i
$631$	−10.3287	−	5.55812i	−0.411180	−	0.221265i	0.255183	−	0.966893i	$-0.417864\pi$
$631$	−10.3287	−	5.55812i	−0.411180	−	0.221265i	−0.666363	+	0.745627i	$0.732150\pi$
$632$	−15.9145	+	10.5051i	−0.633044	+	0.417869i
$633$	25.4461	−	16.1226i	1.01139	−	0.640815i
$634$	−23.5130	−	32.3629i	−0.933820	−	1.28529i
$635$	−22.0389	+	19.2548i	−0.874587	+	0.764104i
$636$	1.01017	+	4.84098i	0.0400558	+	0.191957i
$637$	−1.63343	−	4.35227i	−0.0647189	−	0.172443i
$638$	−6.75817			−0.267558
$639$	6.16428	+	24.5153i	0.243855	+	0.969812i
$640$	25.0767			0.991243
$641$	3.57224	+	9.51821i	0.141095	+	0.375947i	0.987718	−	0.156246i	$-0.0499394\pi$
$641$	3.57224	+	9.51821i	0.141095	+	0.375947i	−0.846623	+	0.532193i	$0.821368\pi$
$642$	−1.63461	−	7.83346i	−0.0645129	−	0.309162i
$643$	−4.16930	+	3.64260i	−0.164421	+	0.143650i	−0.736217	−	0.676746i	$-0.763390\pi$
$643$	−4.16930	+	3.64260i	−0.164421	+	0.143650i	0.571796	+	0.820396i	$0.306247\pi$
$644$	−6.24910	−	8.60115i	−0.246249	−	0.338933i
$645$	−17.6253	+	11.1674i	−0.693997	+	0.439714i
$646$	5.35463	−	3.53456i	0.210675	−	0.139065i
$647$	12.6820	+	6.82446i	0.498580	+	0.268297i	0.703774	−	0.710424i	$-0.251497\pi$
$647$	12.6820	+	6.82446i	0.498580	+	0.268297i	−0.205194	+	0.978721i	$0.565783\pi$
$648$	12.1106	−	4.13726i	0.475748	−	0.162527i
$649$	2.91486	−	4.41582i	0.114418	−	0.173336i
$650$	−4.84156	+	5.06387i	−0.189902	+	0.198621i
$651$	18.5602	+	14.0218i	0.727430	+	0.549560i
$652$	12.1859	−	11.6509i	0.477236	−	0.456285i
$653$	28.4367	+	20.6605i	1.11281	+	0.808507i	0.983105	−	0.183045i	$-0.0585954\pi$
$653$	28.4367	+	20.6605i	1.11281	+	0.808507i	0.129710	+	0.991552i	$0.458595\pi$
$654$	23.5335	−	25.9418i	0.920232	−	1.01440i
$655$	−0.0698333	+	0.515530i	−0.00272861	+	0.0201434i
$656$	10.5727	+	32.5394i	0.412794	+	1.27045i
$657$	27.7046	−	26.8899i	1.08086	−	1.04907i
$658$	−27.3368	−	2.46035i	−1.06570	−	0.0959146i
$659$	−6.80577	−	1.55337i	−0.265115	−	0.0605108i	0.0878968	−	0.996130i	$-0.471985\pi$
$659$	−6.80577	−	1.55337i	−0.265115	−	0.0605108i	−0.353012	+	0.935619i	$0.614843\pi$
$660$	−1.47250	−	1.46147i	−0.0573169	−	0.0568877i
$661$	17.7000	+	7.56532i	0.688448	+	0.294257i	0.708672	−	0.705539i	$-0.249295\pi$
$661$	17.7000	+	7.56532i	0.688448	+	0.294257i	−0.0202232	+	0.999795i	$0.506438\pi$
$662$	−9.35979	+	11.7368i	−0.363779	+	0.456164i
$663$	5.31676	−	17.9503i	0.206486	−	0.697133i
$664$	3.09823	−	9.53537i	0.120235	−	0.370044i
$665$	10.7920	+	5.19715i	0.418495	+	0.201537i
$666$	5.90662	−	46.2135i	0.228877	−	1.79074i
$667$	7.60617	−	27.5603i	0.294512	−	1.06714i
$668$	17.9407	−	7.66822i	0.694146	−	0.296692i
$669$	−16.5387	−	6.56210i	−0.639424	−	0.253706i
$670$	−26.5978	+	3.60291i	−1.02756	+	0.139193i
$671$	1.97736	−	0.451320i	0.0763352	−	0.0174230i
$672$	24.8676	+	15.4953i	0.959290	+	0.597745i
$673$	4.22152	−	3.36655i	0.162728	−	0.129771i	−0.538741	−	0.842472i	$-0.681100\pi$
$673$	4.22152	−	3.36655i	0.162728	−	0.129771i	0.701468	+	0.712701i	$0.252528\pi$
$674$	−15.1305	−	5.67859i	−0.582807	−	0.218731i
$675$	−3.60433	+	1.12679i	−0.138731	+	0.0433702i
$676$	12.0198	+	15.0724i	0.462301	+	0.579707i
$677$	7.73744	+	28.0360i	0.297374	+	1.07751i	0.948041	+	0.318148i	$0.103061\pi$
$677$	7.73744	+	28.0360i	0.297374	+	1.07751i	−0.650667	+	0.759363i	$0.725511\pi$
$678$	14.1459	+	9.72183i	0.543271	+	0.373365i
$679$	6.76697	+	49.9557i	0.259692	+	1.91713i
$680$	6.15489	−	2.96404i	0.236029	−	0.113666i
$681$	−0.0601037	+	0.133654i	−0.00230318	+	0.00512165i
$682$	−3.43121	−	0.946953i	−0.131388	−	0.0362607i
$683$	0.575427	−	12.8129i	0.0220181	−	0.490271i	−0.957441	−	0.288629i	$-0.906801\pi$
$683$	0.575427	−	12.8129i	0.0220181	−	0.490271i	0.979459	−	0.201642i	$-0.0646278\pi$
$684$	−3.27004	+	5.56777i	−0.125033	+	0.212889i
$685$	−7.24218	−	2.35313i	−0.276710	−	0.0899084i
$686$	−26.4494	+	15.8028i	−1.00984	+	0.603353i
$687$	−15.9884	+	1.13835i	−0.609995	+	0.0434307i
$688$	−9.80857	+	22.9483i	−0.373948	+	0.874895i
$689$	12.7355	−	0.571954i	0.485186	−	0.0217897i
$690$	20.2515	−	11.5919i	0.770961	−	0.441297i
$691$	3.41661	−	37.9617i	0.129974	−	1.44413i	−0.621006	−	0.783805i	$-0.713276\pi$
$691$	3.41661	−	37.9617i	0.129974	−	1.44413i	0.750980	−	0.660324i	$-0.229581\pi$
$692$	11.5881	+	10.1242i	0.440514	+	0.384865i
$693$	0.802615	+	3.39852i	0.0304888	+	0.129099i
$694$	−49.1402	−	6.65650i	−1.86534	−	0.252677i
$695$	−10.6331	+	0.956995i	−0.403336	+	0.0363009i
$696$	2.59115	+	22.2452i	0.0982171	+	0.843203i
$697$	9.57438	+	10.0140i	0.362655	+	0.379308i
$698$	−21.8887	+	3.97222i	−0.828501	+	0.150351i
$699$	0.631848	−	33.8186i	0.0238987	−	1.27914i
$700$	−2.05089	−	1.35378i	−0.0775162	−	0.0511680i
$701$	−10.1044	−	18.7771i	−0.381637	−	0.709200i	0.615226	−	0.788351i	$-0.289065\pi$
$701$	−10.1044	−	18.7771i	−0.381637	−	0.709200i	−0.996863	+	0.0791507i	$0.974779\pi$
$702$	8.39330	+	49.3827i	0.316785	+	1.86383i
$703$	−8.52901	−	12.9209i	−0.321678	−	0.487321i
$704$	−0.361851	−	0.0656663i	−0.0136378	−	0.00247489i
$705$	4.46167	−	22.2153i	0.168036	−	0.836677i
$706$	32.9831	+	37.7522i	1.24134	+	1.42082i
$707$	23.2445	+	13.8879i	0.874198	+	0.522309i
$708$	23.7656	+	11.9969i	0.893165	+	0.450870i
$709$			13.6192i			0.511480i	0.966746	+	0.255740i	$0.0823190\pi$
$709$			13.6192i			0.511480i	−0.966746	+	0.255740i	$0.917681\pi$
$710$	−26.4527	−	24.5710i	−0.992754	−	0.922135i
$711$	3.30495	−	40.0948i	0.123945	−	1.50367i
$712$	1.57805	−	0.592253i	0.0591400	−	0.0221956i
$713$	7.72349	−	12.9270i	0.289247	−	0.484118i
$714$	17.3557	+	1.88948i	0.649520	+	0.0707121i
$715$	−4.32681	+	3.14361i	−0.161814	+	0.117564i
$716$	−2.20934	+	12.1744i	−0.0825667	+	0.454980i
$717$	0.405163	−	1.63383i	0.0151311	−	0.0610163i
$718$	8.92497	−	16.5854i	0.333077	−	0.618961i
$719$	13.2788	−	7.14562i	0.495215	−	0.266487i	−0.207143	−	0.978311i	$-0.566416\pi$
$719$	13.2788	−	7.14562i	0.495215	−	0.266487i	0.702358	+	0.711824i	$0.252131\pi$
$720$	−21.9814	+	27.9929i	−0.819197	+	1.04323i
$721$	−31.7430	−	30.3494i	−1.18217	−	1.13027i
$722$	−5.05573	−	27.8594i	−0.188155	−	1.03682i
$723$	−13.3099	−	0.847135i	−0.495001	−	0.0315053i
$724$	15.2330	−	20.9664i	0.566129	−	0.779209i
$725$	−0.592381	−	6.58189i	−0.0220005	−	0.244445i
$726$	19.2262	+	27.5298i	0.713553	+	1.02173i
$727$	−2.08457	+	0.677316i	−0.0773123	+	0.0251203i	−0.347418	−	0.937710i	$-0.612941\pi$
$727$	−2.08457	+	0.677316i	−0.0773123	+	0.0251203i	0.270106	+	0.962831i	$0.412941\pi$
$728$	14.1251	−	16.1674i	0.523509	−	0.599205i
$729$	−8.91468	+	25.4858i	−0.330173	+	0.943920i
$730$	−12.2703	+	53.7598i	−0.454145	+	1.98974i
$731$	0.453400	+	10.0957i	0.0167696	+	0.373404i
$732$	3.40663	+	9.61944i	0.125912	+	0.355545i
$733$	−15.4595	−	12.3285i	−0.571009	−	0.455364i	0.294927	−	0.955520i	$-0.404705\pi$
$733$	−15.4595	−	12.3285i	−0.571009	−	0.455364i	−0.865936	+	0.500156i	$0.833276\pi$
$734$	−34.6595	−	58.0102i	−1.27931	−	2.14120i
$735$	1.49228	+	3.25284i	0.0550437	+	0.119983i
$736$	8.22983	−	17.0894i	0.303356	−	0.629924i
$737$	−2.59765	−	0.116661i	−0.0956857	−	0.00429725i
$738$	−34.8029	−	12.7641i	−1.28111	−	0.469853i
$739$	12.0103	+	28.0995i	0.441806	+	1.03366i	0.981442	+	0.191758i	$0.0614189\pi$
$739$	12.0103	+	28.0995i	0.441806	+	1.03366i	−0.539636	+	0.841898i	$0.681438\pi$
$740$	10.8594	+	22.5497i	0.399199	+	0.828945i
$741$	12.8179	+	10.6197i	0.470878	+	0.390123i
$742$	2.64541	+	11.5903i	0.0971161	+	0.425493i
$743$	2.90620	−	0.802060i	0.106618	−	0.0294247i	−0.212321	−	0.977200i	$-0.568102\pi$
$743$	2.90620	−	0.802060i	0.106618	−	0.0294247i	0.318939	+	0.947775i	$0.396674\pi$
$744$	−1.80144	+	11.6573i	−0.0660440	+	0.427376i
$745$	−14.1538	+	37.7126i	−0.518555	+	1.38168i
$746$	10.4470	−	27.8360i	0.382492	−	1.01915i
$747$	11.7852	+	17.5652i	0.431198	+	0.642677i
$748$	−0.968620	+	0.267322i	−0.0354163	+	0.00977427i
$749$	−1.61011	−	7.05436i	−0.0588322	−	0.257761i
$750$	−20.2326	+	24.4208i	−0.738792	+	0.891721i
$751$	−12.4360	−	25.8237i	−0.453797	−	0.942319i	−0.994853	−	0.101332i	$-0.967689\pi$
$751$	−12.4360	−	25.8237i	−0.453797	−	0.942319i	0.541056	−	0.840987i	$-0.318025\pi$
$752$	−10.6517	−	24.9209i	−0.388428	−	0.908772i
$753$	−38.3623	+	19.7286i	−1.39800	+	0.718949i
$754$	−87.5690	−	3.93273i	−3.18908	−	0.143222i
$755$	−14.4835	+	30.0753i	−0.527109	+	1.09455i
$756$	−16.5174	+	5.98958i	−0.600732	+	0.217839i
$757$	−21.4701	−	35.9349i	−0.780344	−	1.30608i	−0.947375	−	0.320125i	$-0.896275\pi$
$757$	−21.4701	−	35.9349i	−0.780344	−	1.30608i	0.167031	−	0.985952i	$-0.446582\pi$
$758$	13.8855	+	11.0733i	0.504343	+	0.402200i
$759$	2.13091	−	0.754640i	0.0773472	−	0.0273917i
$760$	0.272510	+	6.06792i	0.00988499	+	0.220106i
$761$	−6.37631	+	27.9364i	−0.231141	+	1.01269i	0.717554	+	0.696503i	$0.245262\pi$
$761$	−6.37631	+	27.9364i	−0.231141	+	1.01269i	−0.948695	+	0.316192i	$0.897596\pi$
$762$	−23.0880	−	30.0877i	−0.836391	−	1.08996i
$763$	20.8376	−	23.8506i	0.754373	−	0.863450i
$764$	10.8034	−	3.51024i	0.390854	−	0.126996i
$765$	−3.10137	+	14.0749i	−0.112130	+	0.508879i
$766$	5.94725	+	66.0793i	0.214883	+	2.38754i
$767$	40.3390	−	55.5218i	1.45656	−	2.00478i
$768$	−2.25911	+	35.4944i	−0.0815186	+	1.28080i
$769$	−2.09389	−	11.5383i	−0.0755077	−	0.416082i	−0.999438	−	0.0335210i	$-0.989328\pi$
$769$	−2.09389	−	11.5383i	−0.0755077	−	0.416082i	0.923930	−	0.382561i	$-0.124958\pi$
$770$	−3.60490	−	3.44663i	−0.129911	−	0.124208i
$771$	30.6303	−	4.96946i	1.10312	−	0.178971i
$772$	10.4627	−	5.63021i	0.376560	−	0.202636i
$773$	21.3288	−	39.6356i	0.767144	−	1.42559i	−0.133505	−	0.991048i	$-0.542623\pi$
$773$	21.3288	−	39.6356i	0.767144	−	1.42559i	0.900650	−	0.434545i	$-0.143091\pi$
$774$	−12.9919	−	23.7140i	−0.466983	−	0.852382i
$775$	0.621494	−	3.42471i	0.0223247	−	0.123019i
$776$	−20.6813	+	15.0258i	−0.742414	+	0.539395i
$777$	4.55938	−	41.8798i	0.163567	−	1.50243i
$778$	4.17015	−	6.97965i	0.149507	−	0.250233i
$779$	−11.5331	+	4.32843i	−0.413215	+	0.155082i
$780$	−18.2295	−	19.7939i	−0.652720	−	0.708736i
$781$	−2.09647	−	2.79972i	−0.0750175	−	0.100182i
$782$		−	11.3018i		−	0.404151i
$783$	−40.2878	−	24.6853i	−1.43977	−	0.882181i
$784$	3.67462	+	2.19548i	0.131236	+	0.0784101i
$785$	−32.6837	−	37.4096i	−1.16653	−	1.33520i
$786$	−0.660984	−	0.132750i	−0.0235765	−	0.00473505i
$787$	31.9439	+	5.79697i	1.13868	+	0.206640i	0.714968	−	0.699158i	$-0.246441\pi$
$787$	31.9439	+	5.79697i	1.13868	+	0.206640i	0.423711	+	0.905797i	$0.360727\pi$
$788$	0.983445	+	1.48986i	0.0350338	+	0.0530739i
$789$	2.30349	+	8.99875i	0.0820065	+	0.320364i
$790$	27.2282	+	50.5984i	0.968735	+	1.80021i
$791$	12.9531	+	8.55024i	0.460558	+	0.304012i
$792$	−1.32472	+	1.17505i	−0.0470718	+	0.0417535i
$793$	25.8843	−	4.69731i	0.919179	−	0.166806i
$794$	19.9787	+	20.8960i	0.709016	+	0.741573i
$795$	−9.74846	+	1.13551i	−0.345742	+	0.0402724i
$796$	−4.03544	+	0.363196i	−0.143032	+	0.0128731i
$797$	−8.27671	−	1.12116i	−0.293176	−	0.0397134i	−0.0138316	−	0.999904i	$-0.504403\pi$
$797$	−8.27671	−	1.12116i	−0.293176	−	0.0397134i	−0.279345	+	0.960191i	$0.590117\pi$
$798$	−7.60977	+	13.5294i	−0.269383	+	0.478936i
$799$	−8.26466	−	7.22062i	−0.292383	−	0.255447i
$800$	0.393002	−	4.36661i	0.0138947	−	0.154383i
$801$	−1.07342	+	3.39016i	−0.0379275	+	0.119785i
$802$	−26.1340	+	1.17368i	−0.922822	+	0.0414440i
$803$	−2.09957	+	4.91218i	−0.0740921	+	0.173347i
$804$	−0.929145	−	13.0501i	−0.0327684	−	0.460240i
$805$	18.1129	−	10.8219i	0.638395	−	0.381423i
$806$	−43.9089	−	14.2669i	−1.54662	−	0.502528i
$807$	−12.8485	−	42.2107i	−0.452287	−	1.48589i
$808$	−0.616023	+	13.7168i	−0.0216716	+	0.482556i
$809$	31.7814	+	8.77112i	1.11738	+	0.308376i	0.775487	−	0.631364i	$-0.217505\pi$
$809$	31.7814	+	8.77112i	1.11738	+	0.308376i	0.341889	+	0.939740i	$0.388933\pi$
$810$	−9.14523	−	37.4625i	−0.321331	−	1.31630i
$811$	−6.28071	+	3.02463i	−0.220545	+	0.106209i	−0.540894	−	0.841091i	$-0.681914\pi$
$811$	−6.28071	+	3.02463i	−0.220545	+	0.106209i	0.320349	+	0.947300i	$0.396200\pi$
$812$	−4.12722	−	30.4684i	−0.144837	−	1.06923i
$813$	1.47114	−	2.14060i	0.0515950	−	0.0750741i
$814$	1.71497	+	6.21405i	0.0601096	+	0.217802i
$815$	20.8615	+	26.1595i	0.730747	+	0.916328i
$816$	6.47789	+	15.9751i	0.226771	+	0.559241i
$817$	−8.41253	−	3.15727i	−0.294317	−	0.110459i
$818$	−16.0483	+	12.7981i	−0.561115	+	0.447474i
$819$	8.42223	+	44.5034i	0.294296	+	1.55508i
$820$	19.4149	−	4.43133i	0.677999	−	0.154749i
$821$	36.6953	−	4.97072i	1.28068	−	0.173479i	0.537894	−	0.843012i	$-0.319220\pi$
$821$	36.6953	−	4.97072i	1.28068	−	0.173479i	0.742782	+	0.669533i	$0.233506\pi$
$822$	3.63942	−	9.17258i	0.126939	−	0.319930i
$823$	38.1233	−	16.2947i	1.32890	−	0.567997i	0.392762	−	0.919640i	$-0.371520\pi$
$823$	38.1233	−	16.2947i	1.32890	−	0.567997i	0.936134	+	0.351643i	$0.114377\pi$
$824$	5.92462	−	21.4674i	0.206394	−	0.747852i
$825$	0.399845	−	0.336373i	0.0139208	−	0.0117110i
$826$	57.6611	+	27.7681i	2.00629	+	0.966177i
$827$	−6.78541	+	20.8833i	−0.235952	+	0.726185i	0.761042	+	0.648703i	$0.224688\pi$
$827$	−6.78541	+	20.8833i	−0.235952	+	0.726185i	−0.996994	+	0.0774823i	$0.975312\pi$
$828$	5.01190	+	10.2103i	0.174176	+	0.354831i
$829$	7.68190	−	9.63280i	0.266803	−	0.334561i	−0.630324	−	0.776332i	$-0.717078\pi$
$829$	7.68190	−	9.63280i	0.266803	−	0.334561i	0.897128	+	0.441771i	$0.145650\pi$
$830$	−27.7798	−	11.8736i	−0.964249	−	0.412140i
$831$	−12.3144	+	12.4073i	−0.427181	+	0.430404i
$832$	−4.65048	−	1.06144i	−0.161226	−	0.0367989i
$833$	1.72638	+	0.155377i	0.0598154	+	0.00538349i
$834$	−0.362423	−	13.8305i	−0.0125497	−	0.478910i
$835$	11.9655	+	36.8260i	0.414083	+	1.27442i
$836$	0.119928	−	0.885343i	0.00414779	−	0.0306202i
$837$	−16.9957	−	18.1782i	−0.587459	−	0.628329i
$838$	8.05705	+	5.85379i	0.278326	+	0.202216i
$839$	−8.80291	+	8.41645i	−0.303910	+	0.290568i	−0.827573	−	0.561357i	$-0.810279\pi$
$839$	−8.80291	+	8.41645i	−0.303910	+	0.290568i	0.523663	+	0.851925i	$0.324565\pi$
$840$	−9.96282	+	13.1874i	−0.343750	+	0.455008i
$841$	37.0992	−	38.8027i	1.27928	−	1.33802i
$842$	9.81166	−	14.8640i	0.338132	−	0.512248i
$843$	1.51374	−	4.37874i	0.0521360	−	0.150812i
$844$	−18.4674	−	9.93773i	−0.635674	−	0.342071i
$845$	−31.9306	+	21.0772i	−1.09845	+	0.725078i
$846$	28.3637	+	7.59889i	0.975164	+	0.261255i
$847$	17.8468	+	24.5640i	0.613224	+	0.844030i
$848$	−8.84013	+	7.72339i	−0.303571	+	0.265222i
$849$	11.4659	−	2.39259i	0.393508	−	0.0821134i
$850$	−0.917900	−	2.44574i	−0.0314837	−	0.0838881i
$851$	−27.2715			−0.934856
$852$	12.7716	−	12.1072i	0.437549	−	0.414787i
$853$	−28.8886			−0.989128			−0.494564	−	0.869141i	$-0.664672\pi$
$853$	−28.8886			−0.989128			−0.494564	+	0.869141i	$0.664672\pi$
$854$	8.62007	+	22.9681i	0.294973	+	0.785952i
$855$	−10.4236	−	7.45412i	−0.356480	−	0.254926i
$856$	2.76316	−	2.41410i	0.0944430	−	0.0825124i
$857$	−26.6382	−	36.6644i	−0.909945	−	1.25243i	−0.967186	−	0.254071i	$-0.918230\pi$
$857$	−26.6382	−	36.6644i	−0.909945	−	1.25243i	0.0572411	−	0.998360i	$-0.481770\pi$
$858$	−3.70946	−	5.85461i	−0.126639	−	0.199873i
$859$	28.7530	−	18.9797i	0.981039	−	0.647578i	0.0448196	−	0.998995i	$-0.485729\pi$
$859$	28.7530	−	18.9797i	0.981039	−	0.647578i	0.936219	+	0.351417i	$0.114300\pi$
$860$	12.7915	+	6.88340i	0.436187	+	0.234722i
$861$	−31.6797	−	10.9517i	−1.07964	−	0.373234i
$862$	20.5646	−	31.1540i	0.700432	−	1.06111i
$863$	−16.0103	+	16.7454i	−0.544996	+	0.570021i	−0.936728	−	0.350058i	$-0.886162\pi$
$863$	−16.0103	+	16.7454i	−0.544996	+	0.570021i	0.391732	+	0.920079i	$0.371876\pi$
$864$	−23.3743	−	20.8862i	−0.795210	−	0.710563i
$865$	−22.0732	+	21.1042i	−0.750512	+	0.717563i
$866$	−39.0879	−	28.3990i	−1.32826	−	0.965039i
$867$	−16.6382	−	15.0936i	−0.565062	−	0.512605i
$868$	2.17378	−	16.0475i	0.0737829	−	0.544687i
$869$	1.72015	+	5.29409i	0.0583523	+	0.179590i
$870$	67.4600	−	1.76776i	2.28711	−	0.0599328i
$871$	−33.5912	−	3.02326i	−1.13819	−	0.102439i
$872$	15.6575	+	3.57371i	0.530228	+	0.121021i
$873$	2.01458	−	53.8947i	0.0681832	−	1.82406i
$874$	9.24013	+	3.94942i	0.312552	+	0.133591i
$875$	−17.8792	+	22.4197i	−0.604426	+	0.757926i
$876$	−25.7716	−	7.63338i	−0.870742	−	0.257908i
$877$	−6.35470	+	19.5578i	−0.214583	+	0.660418i	0.784600	+	0.620002i	$0.212868\pi$
$877$	−6.35470	+	19.5578i	−0.214583	+	0.660418i	−0.999183	+	0.0404161i	$0.987132\pi$
$878$	54.4895	+	26.2408i	1.83893	+	0.885583i
$879$	8.38436	+	9.96645i	0.282797	+	0.336160i
$880$	1.31015	−	4.74721i	0.0441650	−	0.160028i
$881$	−7.31994	+	3.12869i	−0.246615	+	0.105408i	−0.512783	−	0.858518i	$-0.671385\pi$
$881$	−7.31994	+	3.12869i	−0.246615	+	0.105408i	0.266168	+	0.963927i	$0.414243\pi$
$882$	−4.32971	+	1.66221i	−0.145789	+	0.0559694i
$883$	−6.58347	+	0.891791i	−0.221551	+	0.0300112i	−0.244168	−	0.969733i	$-0.578515\pi$
$883$	−6.58347	+	0.891791i	−0.221551	+	0.0300112i	0.0226163	+	0.999744i	$0.492800\pi$
$884$	−12.7065	+	2.90017i	−0.427365	+	0.0975433i
$885$	−27.9410	+	44.8412i	−0.939228	+	1.50732i
$886$	−25.0410	+	19.9696i	−0.841270	+	0.670891i
$887$	26.7235	+	10.0295i	0.897287	+	0.336757i	0.757047	−	0.653360i	$-0.226641\pi$
$887$	26.7235	+	10.0295i	0.897287	+	0.336757i	0.140240	+	0.990118i	$0.455213\pi$
$888$	19.7967	−	8.02753i	0.664333	−	0.269386i
$889$	−21.3813	−	26.8113i	−0.717106	−	0.899223i
$890$	−1.35117	−	4.89586i	−0.0452914	−	0.164110i
$891$	−0.223699	−	3.72916i	−0.00749419	−	0.124932i
$892$	1.66276	+	12.2750i	0.0556733	+	0.410996i
$893$	8.79154	−	4.23378i	0.294198	−	0.141678i
$894$	−47.6085	−	21.4093i	−1.59227	−	0.716034i
$895$	−23.6712	−	6.53282i	−0.791240	−	0.218368i
$896$	−1.31834	+	29.3551i	−0.0440427	+	0.980686i
$897$	28.0505	−	8.53823i	0.936577	−	0.285083i
$898$	−25.4272	−	8.26181i	−0.848518	−	0.275700i
$899$	37.3848	−	22.3364i	1.24685	−	0.744960i
$900$	1.91384	+	1.80248i	0.0637947	+	0.0600825i
$901$	−1.86824	+	4.37096i	−0.0622401	+	0.145618i
$902$	5.12399	−	0.230119i	0.170610	−	0.00766211i
$903$	−12.1461	−	21.2196i	−0.404196	−	0.706143i
$904$	−0.705492	+	7.83866i	−0.0234643	+	0.260710i
$905$	38.7325	+	33.8396i	1.28751	+	1.12487i
$906$	−37.7041	−	21.2071i	−1.25263	−	0.704558i
$907$	26.9435	+	3.64975i	0.894646	+	0.121188i	0.567101	−	0.823648i	$-0.308065\pi$
$907$	26.9435	+	3.64975i	0.894646	+	0.121188i	0.327544	+	0.944836i	$0.393779\pi$
$908$	0.101612	−	0.00914523i	0.00337211	−	0.000303495i
$909$	−21.9577	−	18.8947i	−0.728292	−	0.626699i
$910$	−44.7048	−	46.7576i	−1.48195	−	1.55000i
$911$	−56.9831	+	10.3409i	−1.88793	+	0.342609i	−0.994338	−	0.106265i	$-0.966111\pi$
$911$	−56.9831	+	10.3409i	−1.88793	+	0.342609i	−0.893595	+	0.448874i	$0.851825\pi$
$912$	−15.3247	−	0.286318i	−0.507451	−	0.00948092i
$913$	−2.44260	−	1.61235i	−0.0808383	−	0.0533609i
$914$	3.23190	+	6.00587i	0.106902	+	0.198656i
$915$	−19.6200	+	5.02230i	−0.648616	+	0.166032i
$916$	6.14742	+	9.31294i	0.203116	+	0.307708i
$917$	−0.599815	−	0.108850i	−0.0198076	−	0.00359456i
$918$	−17.9477	−	5.16955i	−0.592362	−	0.170621i
$919$	−1.82058	−	2.08382i	−0.0600553	−	0.0687389i	0.722259	−	0.691623i	$-0.243104\pi$
$919$	−1.82058	−	2.08382i	−0.0600553	−	0.0687389i	−0.782314	+	0.622884i	$0.785961\pi$
$920$	9.18487	+	5.48770i	0.302816	+	0.180924i
$921$	−0.296469	+	0.587300i	−0.00976899	+	0.0193522i
$922$			55.6232i			1.83185i
$923$	−25.5358	−	37.4974i	−0.840521	−	1.23424i
$924$	1.78823	−	1.64690i	0.0588285	−	0.0541789i
$925$	−5.90164	+	2.21492i	−0.194045	+	0.0728262i
$926$	−16.2326	+	27.1688i	−0.533437	+	0.892823i
$927$	27.9014	+	37.8021i	0.916401	+	1.24158i
$928$	44.3786	−	32.2430i	1.45680	−	1.05843i
$929$	3.77654	−	20.8105i	0.123904	−	0.682770i	−0.860855	−	0.508850i	$-0.830071\pi$
$929$	3.77654	−	20.8105i	0.123904	−	0.682770i	0.984760	−	0.173920i	$-0.0556434\pi$
$930$	34.4980	+	8.55497i	1.13123	+	0.280529i
$931$	−0.730318	+	1.35716i	−0.0239352	+	0.0444791i
$932$	−20.7361	+	11.1586i	−0.679234	+	0.365511i
$933$	5.99525	+	36.9530i	0.196276	+	1.20979i
$934$	−44.9404	−	42.9674i	−1.47049	−	1.40594i
$935$	−0.356077	−	1.96215i	−0.0116450	−	0.0641691i
$936$	−17.8488	+	14.4548i	−0.583407	+	0.472470i
$937$	6.49807	−	8.94383i	0.212283	−	0.292182i	−0.689576	−	0.724214i	$-0.742203\pi$
$937$	6.49807	−	8.94383i	0.212283	−	0.292182i	0.901859	+	0.432031i	$0.142203\pi$
$938$	−2.81931	−	31.3251i	−0.0920538	−	1.02280i
$939$	23.4502	−	16.3771i	0.765267	−	0.534447i
$940$	−15.0026	+	4.87463i	−0.489329	+	0.158993i
$941$	2.38584	−	2.73081i	0.0777760	−	0.0890219i	−0.712867	−	0.701299i	$-0.752604\pi$
$941$	2.38584	−	2.73081i	0.0777760	−	0.0890219i	0.790643	+	0.612278i	$0.209746\pi$
$942$	51.0719	−	39.1904i	1.66401	−	1.27689i
$943$	−4.82850	+	21.1550i	−0.157237	+	0.688902i
$944$	2.83517	+	63.1300i	0.0922770	+	2.05471i
$945$	−8.90068	−	33.7141i	−0.289539	−	1.09672i
$946$	2.92510	+	2.33269i	0.0951033	+	0.0758423i
$947$	23.0968	+	38.6576i	0.750546	+	1.25620i	0.960443	+	0.278478i	$0.0898300\pi$
$947$	23.0968	+	38.6576i	0.750546	+	1.25620i	−0.209897	+	0.977724i	$0.567313\pi$
$948$	−25.4567	+	11.6786i	−0.826795	+	0.379303i
$949$	−30.0637	+	62.4279i	−0.975909	+	2.02650i
$950$	2.32035	+	0.104207i	0.0752822	+	0.00338093i
$951$	17.6977	+	34.4133i	0.573887	+	1.11593i
$952$	3.14617	+	7.36083i	0.101968	+	0.238566i
$953$	15.8251	+	32.8612i	0.512626	+	1.06448i	0.983270	+	0.182155i	$0.0583073\pi$
$953$	15.8251	+	32.8612i	0.512626	+	1.06448i	−0.470644	+	0.882323i	$0.655978\pi$
$954$	−0.666113	−	12.7011i	−0.0215662	−	0.411213i
$955$	5.01649	+	21.9787i	0.162330	+	0.711214i
$956$	−1.12965	+	0.311764i	−0.0365356	+	0.0100832i
$957$	6.46094	+	0.998433i	0.208852	+	0.0322748i
$958$	20.4684	−	54.5378i	0.661303	−	1.76204i
$959$	3.13534	−	8.35409i	0.101245	−	0.269768i
$960$	3.62918	+	0.560830i	0.117131	+	0.0181007i
$961$	−7.77236	+	2.14503i	−0.250721	+	0.0691946i
$962$	18.6056	+	81.5166i	0.599870	+	2.62820i
$963$	0.405425	+	7.73043i	0.0130646	+	0.249110i
$964$	4.02853	+	8.36532i	0.129750	+	0.269429i
$965$	9.26747	+	21.6823i	0.298330	+	0.697978i
$966$	12.5050	+	24.3161i	0.402342	+	0.782357i
$967$	−41.9272	−	1.88295i	−1.34829	−	0.0605516i	−0.641034	−	0.767512i	$-0.721494\pi$
$967$	−41.9272	−	1.88295i	−1.34829	−	0.0605516i	−0.707253	+	0.706961i	$0.750066\pi$
$968$	−6.68037	+	13.8719i	−0.214715	+	0.445861i
$969$	−5.64132	+	2.58803i	−0.181225	+	0.0831395i
$970$	39.5079	+	66.1251i	1.26852	+	2.12315i
$971$	−24.4511	−	19.4991i	−0.784673	−	0.625755i	0.146966	−	0.989142i	$-0.453049\pi$
$971$	−24.4511	−	19.4991i	−0.784673	−	0.625755i	−0.931639	+	0.363386i	$0.881621\pi$
$972$	18.5068	−	3.28883i	0.593607	−	0.105489i
$973$	−0.561266	−	12.4975i	−0.0179933	−	0.400653i
$974$	−14.5024	+	63.5390i	−0.464686	+	2.03592i
$975$	5.37675	−	4.12588i	0.172194	−	0.132134i
$976$	−15.9377	+	18.2422i	−0.510153	+	0.583918i
$977$	26.7653	−	8.69657i	0.856297	−	0.278228i	0.152216	−	0.988347i	$-0.451359\pi$
$977$	26.7653	−	8.69657i	0.856297	−	0.278228i	0.704081	+	0.710119i	$0.251359\pi$
$978$	−35.5491	+	24.8268i	−1.13674	+	0.793873i
$979$	−0.0441054	−	0.490051i	−0.00140961	−	0.0156621i
$980$	1.46446	−	2.01565i	0.0467803	−	0.0643876i
$981$	−26.3310	+	21.3241i	−0.840686	+	0.680826i
$982$	−4.12832	−	22.7489i	−0.131740	−	0.725947i
$983$	30.5237	+	29.1837i	0.973555	+	0.930814i	0.997624	−	0.0688963i	$-0.0219478\pi$
$983$	30.5237	+	29.1837i	0.973555	+	0.930814i	−0.0240687	+	0.999710i	$0.507662\pi$
$984$	−2.72205	−	16.7779i	−0.0867757	−	0.534861i
$985$	−3.11983	+	1.67885i	−0.0994060	+	0.0534926i
$986$	15.4883	−	28.7821i	0.493247	−	0.916607i
$987$	25.7710	+	6.39081i	0.820300	+	0.203422i
$988$	2.06917	−	11.4021i	0.0658290	−	0.362748i
$989$	−12.8050	+	9.30340i	−0.407176	+	0.295831i
$990$	3.16862	+	4.29299i	0.100705	+	0.136440i
$991$	6.44388	−	10.7852i	0.204697	−	0.342605i	−0.738835	−	0.673886i	$-0.764624\pi$
$991$	6.44388	−	10.7852i	0.204697	−	0.342605i	0.943532	+	0.331281i	$0.107481\pi$
$992$	27.0495	−	10.1518i	0.858821	−	0.322321i
$993$	10.6821	−	9.83783i	0.338986	−	0.312194i
$994$	30.1539	−	29.6742i	0.956424	−	0.941208i
$995$		−	8.04113i		−	0.254921i
$996$	6.63604	−	13.1459i	0.210271	−	0.416543i
$997$	−5.75987	−	3.44136i	−0.182417	−	0.108989i	0.418788	−	0.908084i	$-0.362455\pi$
$997$	−5.75987	−	3.44136i	−0.182417	−	0.108989i	−0.601205	+	0.799095i	$0.705312\pi$
$998$	28.5046	+	32.6261i	0.902297	+	1.03276i
$999$	−12.4743	+	43.3084i	−0.394669	+	1.37022i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	213.2.n.a.104.18	yes	528
3.2	odd	2	inner	213.2.n.a.104.5	✓	528
71.28	odd	70	inner	213.2.n.a.170.5	yes	528
213.170	even	70	inner	213.2.n.a.170.18	yes	528

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
213.2.n.a.104.5	✓	528	3.2	odd	2	inner
213.2.n.a.104.18	yes	528	1.1	even	1	trivial
213.2.n.a.170.5	yes	528	71.28	odd	70	inner
213.2.n.a.170.18	yes	528	213.170	even	70	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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 213 = 3 \cdot 71 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	213.n (of order \(70\), degree \(24\), minimal)

\(f(q)\)	\(=\)	\(q+(0.629129 + 1.67631i) q^{2} +(-0.353806 - 1.69553i) q^{3} +(-0.908064 + 0.793352i) q^{4} +(-1.40661 - 1.93603i) q^{5} +(2.61964 - 1.65980i) q^{6} +(2.34029 - 1.54481i) q^{7} +(1.25218 + 0.673828i) q^{8} +(-2.74964 + 1.19978i) q^{9} +(2.36045 - 3.57592i) q^{10} +(0.286857 - 0.300029i) q^{11} +(1.66643 + 1.25896i) q^{12} +(3.89155 - 3.72070i) q^{13} +(4.06193 + 2.95117i) q^{14} +(-2.78493 + 3.06993i) q^{15} +(-0.665480 + 4.91277i) q^{16} +(0.620365 + 1.90929i) q^{17} +(-3.74108 - 3.85443i) q^{18} +(-1.77779 - 0.160004i) q^{19} +(2.81324 + 0.642104i) q^{20} +(-3.44729 - 3.42147i) q^{21} +(0.683412 + 0.292104i) q^{22} +(-1.96039 + 2.45825i) q^{23} +(0.699466 - 2.36152i) q^{24} +(-0.224581 + 0.691190i) q^{25} +(8.68533 + 4.18264i) q^{26} +(3.00710 + 4.23761i) q^{27} +(-0.899555 + 3.25947i) q^{28} +(-8.36135 + 3.57381i) q^{29} +(-6.89822 - 2.73702i) q^{30} +(-4.74592 + 0.642879i) q^{31} +(-5.88135 + 1.34238i) q^{32} +(-0.610200 - 0.380223i) q^{33} +(-2.81026 + 2.24111i) q^{34} +(-6.28268 - 2.35793i) q^{35} +(1.54500 - 3.27091i) q^{36} +(5.40787 + 6.78125i) q^{37} +(-0.850241 - 3.08078i) q^{38} +(-7.68542 - 5.28183i) q^{39} +(-0.456779 - 3.37208i) q^{40} +(6.21782 - 2.99434i) q^{41} +(3.56665 - 7.93127i) q^{42} +(4.85256 + 1.33922i) q^{43} +(-0.0224561 + 0.500024i) q^{44} +(6.19048 + 3.63577i) q^{45} +(-5.35412 - 1.73966i) q^{46} +(-4.69287 + 2.80386i) q^{47} +(8.56520 - 0.609829i) q^{48} +(0.339346 - 0.793940i) q^{49} +(-1.29994 + 0.0583803i) q^{50} +(3.01776 - 1.72736i) q^{51} +(-0.581951 + 6.46600i) q^{52} +(1.78313 + 1.55788i) q^{53} +(-5.21169 + 7.70683i) q^{54} +(-0.984361 - 0.133341i) q^{55} +(3.97142 - 0.357434i) q^{56} +(0.357701 + 3.07090i) q^{57} +(-11.2512 - 11.7678i) q^{58} +(12.5419 - 2.27602i) q^{59} +(0.0933634 - 4.99712i) q^{60} +(4.07784 + 2.69176i) q^{61} +(-4.06346 - 7.55118i) q^{62} +(-4.58153 + 7.05552i) q^{63} +(-0.488077 - 0.739405i) q^{64} +(-12.6773 - 2.30059i) q^{65} +(0.253476 - 1.26209i) q^{66} +(-4.12150 - 4.71744i) q^{67} +(-2.07807 - 1.24159i) q^{68} +(4.86163 + 2.45415i) q^{69} -12.0152i q^{70} +(1.38482 - 8.31157i) q^{71} +(-4.25150 - 0.350444i) q^{72} +(-12.0489 + 4.52201i) q^{73} +(-7.96523 + 13.3315i) q^{74} +(1.25139 + 0.136237i) q^{75} +(1.74128 - 1.26512i) q^{76} +(0.207841 - 1.14530i) q^{77} +(4.01886 - 16.2061i) q^{78} +(-6.35470 + 11.8090i) q^{79} +(10.4473 - 5.62196i) q^{80} +(6.12106 - 6.59792i) q^{81} +(8.93126 + 8.53916i) q^{82} +(-1.25897 - 6.93751i) q^{83} +(5.84479 + 0.372003i) q^{84} +(2.82383 - 3.88666i) q^{85} +(0.807938 + 8.97693i) q^{86} +(9.01780 + 12.9125i) q^{87} +(0.561366 - 0.182399i) q^{88} +(0.779885 - 0.892650i) q^{89} +(-2.20006 + 12.6645i) q^{90} +(3.35957 - 14.7193i) q^{91} +(-0.170098 - 3.78753i) q^{92} +(2.76916 + 7.81940i) q^{93} +(-7.65255 - 6.10271i) q^{94} +(2.19088 + 3.66691i) q^{95} +(4.35691 + 9.49707i) q^{96} +(-7.80012 + 16.1971i) q^{97} +(1.54438 + 0.0693583i) q^{98} +(-0.428786 + 1.16914i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 528 q - 20 q^{3} - 70 q^{4} - 30 q^{6} - 46 q^{7} - 26 q^{9} - 62 q^{10} - 55 q^{12} - 46 q^{13} - 22 q^{15} - 70 q^{16} - 18 q^{18} - 46 q^{19} - 2 q^{21} - 86 q^{22} - 13 q^{24} + 24 q^{25} + 7 q^{27}+ \cdots - 94 q^{99}+O(q^{100}) \) 528 * q - 20 * q^3 - 70 * q^4 - 30 * q^6 - 46 * q^7 - 26 * q^9 - 62 * q^10 - 55 * q^12 - 46 * q^13 - 22 * q^15 - 70 * q^16 - 18 * q^18 - 46 * q^19 - 2 * q^21 - 86 * q^22 - 13 * q^24 + 24 * q^25 + 7 * q^27 + 22 * q^28 - 55 * q^30 - 44 * q^31 - 28 * q^33 - 28 * q^34 + 8 * q^36 - 72 * q^37 - 144 * q^40 - 2 * q^42 - 76 * q^43 - 55 * q^45 - 30 * q^46 + 55 * q^48 - 72 * q^49 + 63 * q^51 + 78 * q^52 - 47 * q^54 - 70 * q^55 + 102 * q^57 - 166 * q^58 - 66 * q^60 - 74 * q^61 - 85 * q^63 + 58 * q^64 + 135 * q^66 + 52 * q^67 + 173 * q^69 + 154 * q^72 - 28 * q^73 + 127 * q^75 + 160 * q^76 + 184 * q^78 - 166 * q^79 + 102 * q^81 + 162 * q^82 + 168 * q^84 - 90 * q^85 + 87 * q^87 - 20 * q^88 + 60 * q^90 - 148 * q^91 + 5 * q^93 - 84 * q^94 + 120 * q^96 - 28 * q^97 - 94 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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