LMFDB - Embedded newform 74.2.h.a.67.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [74,2,Mod(3,74)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(74, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([13]))

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

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

chi := DirichletCharacter("74.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 74 = 2 \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	74.h (of order $18$, degree $6$, 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:	$0.590892974957$
Analytic rank:	$0$
Dimension:	$12$
Relative dimension:	$2$ over $\Q(\zeta_{18})$
Coefficient field:	$\Q(\zeta_{36})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{12} - x^{6} + 1 $ x^12 - x^6 + 1
Coefficient ring:	$\Z[a_1, a_2]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			67.1
Root			$-0.342020 - 0.939693i$ of defining polynomial
Character	$\chi$	$=$	74.67
Dual form			74.2.h.a.21.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.342020 - 0.939693i) q^{2} +(0.326352 + 0.118782i) q^{3} +(-0.766044 + 0.642788i) q^{4} +(2.57176 - 0.453471i) q^{5} -0.347296i q^{6} +(-0.361075 - 2.04776i) q^{7} +(0.866025 + 0.500000i) q^{8} +(-2.20574 - 1.85083i) q^{9} +O(q^{10})$	\(q+(-0.342020 - 0.939693i) q^{2} +(0.326352 + 0.118782i) q^{3} +(-0.766044 + 0.642788i) q^{4} +(2.57176 - 0.453471i) q^{5} -0.347296i q^{6} +(-0.361075 - 2.04776i) q^{7} +(0.866025 + 0.500000i) q^{8} +(-2.20574 - 1.85083i) q^{9} +(-1.30572 - 2.26157i) q^{10} +(-2.99810 + 5.19285i) q^{11} +(-0.326352 + 0.118782i) q^{12} +(2.64632 + 3.15377i) q^{13} +(-1.80077 + 1.03967i) q^{14} +(0.893164 + 0.157489i) q^{15} +(0.173648 - 0.984808i) q^{16} +(-0.618710 + 0.737350i) q^{17} +(-0.984808 + 2.70574i) q^{18} +(0.534946 - 1.46975i) q^{19} +(-1.67860 + 2.00048i) q^{20} +(0.125400 - 0.711179i) q^{21} +(5.90509 + 1.04123i) q^{22} +(-5.51705 + 3.18527i) q^{23} +(0.223238 + 0.266044i) q^{24} +(1.70986 - 0.622339i) q^{25} +(2.05847 - 3.56538i) q^{26} +(-1.02094 - 1.76833i) q^{27} +(1.59287 + 1.33658i) q^{28} +(-3.51193 - 2.02761i) q^{29} +(-0.157489 - 0.893164i) q^{30} -3.39997i q^{31} +(-0.984808 + 0.173648i) q^{32} +(-1.59525 + 1.33858i) q^{33} +(0.904494 + 0.329209i) q^{34} +(-1.85720 - 5.10261i) q^{35} +2.87939 q^{36} +(6.07068 - 0.383130i) q^{37} -1.56408 q^{38} +(0.489021 + 1.34357i) q^{39} +(2.45395 + 0.893164i) q^{40} +(7.94502 - 6.66666i) q^{41} +(-0.711179 + 0.125400i) q^{42} -3.76932i q^{43} +(-1.04123 - 5.90509i) q^{44} +(-6.51193 - 3.75967i) q^{45} +(4.88011 + 4.09490i) q^{46} +(3.08750 + 5.34771i) q^{47} +(0.173648 - 0.300767i) q^{48} +(2.51491 - 0.915354i) q^{49} +(-1.16962 - 1.39389i) q^{50} +(-0.289501 + 0.167144i) q^{51} +(-4.05440 - 0.714901i) q^{52} +(-1.39401 + 7.90585i) q^{53} +(-1.31250 + 1.56418i) q^{54} +(-5.35558 + 14.7143i) q^{55} +(0.711179 - 1.95395i) q^{56} +(0.349161 - 0.416114i) q^{57} +(-0.704183 + 3.99362i) q^{58} +(5.02269 + 0.885636i) q^{59} +(-0.785435 + 0.453471i) q^{60} +(-6.25519 - 7.45465i) q^{61} +(-3.19493 + 1.16286i) q^{62} +(-2.99362 + 5.18510i) q^{63} +(0.500000 + 0.866025i) q^{64} +(8.23586 + 6.91071i) q^{65} +(1.80346 + 1.04123i) q^{66} +(-1.83263 - 10.3934i) q^{67} -0.962542i q^{68} +(-2.17885 + 0.384190i) q^{69} +(-4.15968 + 3.49039i) q^{70} +(-10.1503 - 3.69442i) q^{71} +(-0.984808 - 2.70574i) q^{72} +3.55293 q^{73} +(-2.43632 - 5.57354i) q^{74} +0.631940 q^{75} +(0.534946 + 1.46975i) q^{76} +(11.7162 + 4.26436i) q^{77} +(1.09529 - 0.919059i) q^{78} +(2.51098 - 0.442753i) q^{79} -2.61144i q^{80} +(1.37686 + 7.80856i) q^{81} +(-8.98197 - 5.18574i) q^{82} +(5.29798 + 4.44553i) q^{83} +(0.361075 + 0.625400i) q^{84} +(-1.25681 + 2.17686i) q^{85} +(-3.54200 + 1.28918i) q^{86} +(-0.905280 - 1.07887i) q^{87} +(-5.19285 + 2.99810i) q^{88} +(-16.0165 - 2.82414i) q^{89} +(-1.30572 + 7.40509i) q^{90} +(5.50263 - 6.55778i) q^{91} +(2.17885 - 5.98635i) q^{92} +(0.403856 - 1.10959i) q^{93} +(3.96922 - 4.73033i) q^{94} +(0.709264 - 4.02243i) q^{95} +(-0.342020 - 0.0603074i) q^{96} +(-14.1175 + 8.15074i) q^{97} +(-1.72030 - 2.05018i) q^{98} +(16.2241 - 5.90509i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 12 q + 6 q^{3} - 12 q^{7} - 6 q^{9}+O(q^{10}) $ 12 * q + 6 * q^3 - 12 * q^7 - 6 * q^9	$ 12 q + 6 q^{3} - 12 q^{7} - 6 q^{9} + 6 q^{10} - 6 q^{11} - 6 q^{12} + 6 q^{13} - 18 q^{14} - 18 q^{19} - 6 q^{21} - 18 q^{25} + 12 q^{26} - 6 q^{27} - 6 q^{28} + 18 q^{29} + 24 q^{30} - 6 q^{33} + 12 q^{34} + 18 q^{35} + 12 q^{36} + 30 q^{37} - 24 q^{38} + 30 q^{39} + 12 q^{40} + 24 q^{41} + 6 q^{44} - 18 q^{45} + 30 q^{46} + 6 q^{47} + 12 q^{49} - 36 q^{50} - 12 q^{52} - 12 q^{53} - 18 q^{55} - 36 q^{57} + 6 q^{58} - 36 q^{61} - 6 q^{63} + 6 q^{64} + 36 q^{65} - 30 q^{67} - 18 q^{69} - 12 q^{70} + 12 q^{71} - 48 q^{74} - 36 q^{75} - 18 q^{76} + 12 q^{77} - 6 q^{78} + 6 q^{79} + 24 q^{81} - 48 q^{83} + 12 q^{84} + 18 q^{85} - 36 q^{86} + 36 q^{87} - 36 q^{88} - 18 q^{89} + 6 q^{90} - 6 q^{91} + 18 q^{92} - 12 q^{93} + 36 q^{97} + 36 q^{98} + 30 q^{99}+O(q^{100}) $ 12 * q + 6 * q^3 - 12 * q^7 - 6 * q^9 + 6 * q^10 - 6 * q^11 - 6 * q^12 + 6 * q^13 - 18 * q^14 - 18 * q^19 - 6 * q^21 - 18 * q^25 + 12 * q^26 - 6 * q^27 - 6 * q^28 + 18 * q^29 + 24 * q^30 - 6 * q^33 + 12 * q^34 + 18 * q^35 + 12 * q^36 + 30 * q^37 - 24 * q^38 + 30 * q^39 + 12 * q^40 + 24 * q^41 + 6 * q^44 - 18 * q^45 + 30 * q^46 + 6 * q^47 + 12 * q^49 - 36 * q^50 - 12 * q^52 - 12 * q^53 - 18 * q^55 - 36 * q^57 + 6 * q^58 - 36 * q^61 - 6 * q^63 + 6 * q^64 + 36 * q^65 - 30 * q^67 - 18 * q^69 - 12 * q^70 + 12 * q^71 - 48 * q^74 - 36 * q^75 - 18 * q^76 + 12 * q^77 - 6 * q^78 + 6 * q^79 + 24 * q^81 - 48 * q^83 + 12 * q^84 + 18 * q^85 - 36 * q^86 + 36 * q^87 - 36 * q^88 - 18 * q^89 + 6 * q^90 - 6 * q^91 + 18 * q^92 - 12 * q^93 + 36 * q^97 + 36 * q^98 + 30 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/74\mathbb{Z}\right)^\times$.

$n$	$39$
$\chi(n)$	$e\left(\frac{7}{18}\right)$

Coefficient data

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

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

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

$2$	−0.342020	−	0.939693i	−0.241845	−	0.664463i
$2$	−0.342020	−	0.939693i	−0.241845	−	0.664463i
$3$	0.326352	+	0.118782i	0.188419	+	0.0685790i	0.434507	−	0.900669i	$-0.356923\pi$
$3$	0.326352	+	0.118782i	0.188419	+	0.0685790i	−0.246087	+	0.969248i	$0.579145\pi$
$4$	−0.766044	+	0.642788i	−0.383022	+	0.321394i
$5$	2.57176	−	0.453471i	1.15013	−	0.202798i	0.434096	−	0.900867i	$-0.357068\pi$
$5$	2.57176	−	0.453471i	1.15013	−	0.202798i	0.716031	+	0.698068i	$0.245957\pi$
$6$		−	0.347296i		−	0.141783i
$7$	−0.361075	−	2.04776i	−0.136473	−	0.773979i	−0.973822	−	0.227311i	$-0.927007\pi$
$7$	−0.361075	−	2.04776i	−0.136473	−	0.773979i	0.837349	−	0.546669i	$-0.184104\pi$
$8$	0.866025	+	0.500000i	0.306186	+	0.176777i
$9$	−2.20574	−	1.85083i	−0.735246	−	0.616944i
$10$	−1.30572	−	2.26157i	−0.412904	−	0.715171i
$11$	−2.99810	+	5.19285i	−0.903960	+	1.56570i	−0.0816522	+	0.996661i	$0.526020\pi$
$11$	−2.99810	+	5.19285i	−0.903960	+	1.56570i	−0.822308	+	0.569043i	$0.807314\pi$
$12$	−0.326352	+	0.118782i	−0.0942097	+	0.0342895i
$13$	2.64632	+	3.15377i	0.733958	+	0.874697i	0.995907	−	0.0903843i	$-0.0288095\pi$
$13$	2.64632	+	3.15377i	0.733958	+	0.874697i	−0.261949	+	0.965082i	$0.584365\pi$
$14$	−1.80077	+	1.03967i	−0.481275	+	0.277864i
$15$	0.893164	+	0.157489i	0.230614	+	0.0406634i
$16$	0.173648	−	0.984808i	0.0434120	−	0.246202i
$17$	−0.618710	+	0.737350i	−0.150059	+	0.178834i	−0.835838	−	0.548977i	$-0.815018\pi$
$17$	−0.618710	+	0.737350i	−0.150059	+	0.178834i	0.685778	+	0.727810i	$0.259462\pi$
$18$	−0.984808	+	2.70574i	−0.232121	+	0.637748i
$19$	0.534946	−	1.46975i	0.122725	−	0.337184i	−0.863083	−	0.505063i	$-0.831469\pi$
$19$	0.534946	−	1.46975i	0.122725	−	0.337184i	0.985808	+	0.167878i	$0.0536916\pi$
$20$	−1.67860	+	2.00048i	−0.375346	+	0.447320i
$21$	0.125400	−	0.711179i	0.0273645	−	0.155192i
$22$	5.90509	+	1.04123i	1.25897	+	0.221990i
$23$	−5.51705	+	3.18527i	−1.15038	+	0.664174i	−0.948981	−	0.315334i	$-0.897883\pi$
$23$	−5.51705	+	3.18527i	−1.15038	+	0.664174i	−0.201403	+	0.979508i	$0.564550\pi$
$24$	0.223238	+	0.266044i	0.0455682	+	0.0543061i
$25$	1.70986	−	0.622339i	0.341973	−	0.124468i
$26$	2.05847	−	3.56538i	0.403700	−	0.699229i
$27$	−1.02094	−	1.76833i	−0.196481	−	0.340315i
$28$	1.59287	+	1.33658i	0.301025	+	0.252590i
$29$	−3.51193	−	2.02761i	−0.652149	−	0.376519i	0.137130	−	0.990553i	$-0.456212\pi$
$29$	−3.51193	−	2.02761i	−0.652149	−	0.376519i	−0.789279	+	0.614035i	$0.789546\pi$
$30$	−0.157489	−	0.893164i	−0.0287534	−	0.163069i
$31$		−	3.39997i		−	0.610653i	−0.952248	−	0.305326i	$-0.901234\pi$
$31$		−	3.39997i		−	0.610653i	0.952248	−	0.305326i	$-0.0987655\pi$
$32$	−0.984808	+	0.173648i	−0.174091	+	0.0306970i
$33$	−1.59525	+	1.33858i	−0.277698	+	0.233016i
$34$	0.904494	+	0.329209i	0.155119	+	0.0564588i
$35$	−1.85720	−	5.10261i	−0.313924	−	0.862498i
$36$	2.87939			0.479898
$37$	6.07068	−	0.383130i	0.998014	−	0.0629862i
$37$	6.07068	−	0.383130i	0.998014	−	0.0629862i
$38$	−1.56408			−0.253727
$39$	0.489021	+	1.34357i	0.0783060	+	0.215144i
$40$	2.45395	+	0.893164i	0.388003	+	0.141222i
$41$	7.94502	−	6.66666i	1.24080	−	1.04116i	0.243343	−	0.969940i	$-0.421756\pi$
$41$	7.94502	−	6.66666i	1.24080	−	1.04116i	0.997461	−	0.0712179i	$-0.0226886\pi$
$42$	−0.711179	+	0.125400i	−0.109737	+	0.0193496i
$43$		−	3.76932i		−	0.574816i	−0.957808	−	0.287408i	$-0.907206\pi$
$43$		−	3.76932i		−	0.574816i	0.957808	−	0.287408i	$-0.0927936\pi$
$44$	−1.04123	−	5.90509i	−0.156971	−	0.890227i
$45$	−6.51193	−	3.75967i	−0.970741	−	0.560458i
$46$	4.88011	+	4.09490i	0.719534	+	0.603760i
$47$	3.08750	+	5.34771i	0.450359	+	0.780044i	0.998408	−	0.0564019i	$-0.0179628\pi$
$47$	3.08750	+	5.34771i	0.450359	+	0.780044i	−0.548050	+	0.836446i	$0.684629\pi$
$48$	0.173648	−	0.300767i	0.0250640	−	0.0434120i
$49$	2.51491	−	0.915354i	0.359273	−	0.130765i
$50$	−1.16962	−	1.39389i	−0.165409	−	0.197126i
$51$	−0.289501	+	0.167144i	−0.0405383	+	0.0234048i
$52$	−4.05440	−	0.714901i	−0.562245	−	0.0991389i
$53$	−1.39401	+	7.90585i	−0.191483	+	1.08595i	0.725857	+	0.687846i	$0.241444\pi$
$53$	−1.39401	+	7.90585i	−0.191483	+	1.08595i	−0.917339	+	0.398106i	$0.869668\pi$
$54$	−1.31250	+	1.56418i	−0.178609	+	0.212858i
$55$	−5.35558	+	14.7143i	−0.722146	+	1.98408i
$56$	0.711179	−	1.95395i	0.0950352	−	0.261107i
$57$	0.349161	−	0.416114i	0.0462475	−	0.0551156i
$58$	−0.704183	+	3.99362i	−0.0924638	+	0.524388i
$59$	5.02269	+	0.885636i	0.653899	+	0.115300i	0.490749	−	0.871301i	$-0.336723\pi$
$59$	5.02269	+	0.885636i	0.653899	+	0.115300i	0.163150	+	0.986601i	$0.447834\pi$
$60$	−0.785435	+	0.453471i	−0.101399	+	0.0585429i
$61$	−6.25519	−	7.45465i	−0.800895	−	0.954470i	0.198778	−	0.980045i	$-0.436303\pi$
$61$	−6.25519	−	7.45465i	−0.800895	−	0.954470i	−0.999673	+	0.0255750i	$0.991858\pi$
$62$	−3.19493	+	1.16286i	−0.405756	+	0.147683i
$63$	−2.99362	+	5.18510i	−0.377161	+	0.653262i
$64$	0.500000	+	0.866025i	0.0625000	+	0.108253i
$65$	8.23586	+	6.91071i	1.02153	+	0.857168i
$66$	1.80346	+	1.04123i	0.221990	+	0.128166i
$67$	−1.83263	−	10.3934i	−0.223892	−	1.26975i	−0.864792	−	0.502130i	$-0.832550\pi$
$67$	−1.83263	−	10.3934i	−0.223892	−	1.26975i	0.640901	−	0.767624i	$-0.278561\pi$
$68$		−	0.962542i		−	0.116725i
$69$	−2.17885	+	0.384190i	−0.262303	+	0.0462511i
$70$	−4.15968	+	3.49039i	−0.497177	+	0.417181i
$71$	−10.1503	−	3.69442i	−1.20462	−	0.438447i	−0.339787	−	0.940502i	$-0.610355\pi$
$71$	−10.1503	−	3.69442i	−1.20462	−	0.438447i	−0.864835	+	0.502056i	$0.832577\pi$
$72$	−0.984808	−	2.70574i	−0.116061	−	0.318874i
$73$	3.55293			0.415839			0.207920	−	0.978146i	$-0.433331\pi$
$73$	3.55293			0.415839			0.207920	+	0.978146i	$0.433331\pi$
$74$	−2.43632	−	5.57354i	−0.283217	−	0.647911i
$75$	0.631940			0.0729701
$76$	0.534946	+	1.46975i	0.0613625	+	0.168592i
$77$	11.7162	+	4.26436i	1.33519	+	0.485969i
$78$	1.09529	−	0.919059i	0.124017	−	0.104063i
$79$	2.51098	−	0.442753i	0.282507	−	0.0498136i	−0.0305991	−	0.999532i	$-0.509742\pi$
$79$	2.51098	−	0.442753i	0.282507	−	0.0498136i	0.313106	+	0.949718i	$0.398630\pi$
$80$		−	2.61144i		−	0.291967i
$81$	1.37686	+	7.80856i	0.152984	+	0.867617i
$82$	−8.98197	−	5.18574i	−0.991893	−	0.572670i
$83$	5.29798	+	4.44553i	0.581529	+	0.487960i	0.885449	−	0.464737i	$-0.153851\pi$
$83$	5.29798	+	4.44553i	0.581529	+	0.487960i	−0.303920	+	0.952698i	$0.598296\pi$
$84$	0.361075	+	0.625400i	0.0393965	+	0.0682367i
$85$	−1.25681	+	2.17686i	−0.136320	+	0.236113i
$86$	−3.54200	+	1.28918i	−0.381944	+	0.139016i
$87$	−0.905280	−	1.07887i	−0.0970562	−	0.115667i
$88$	−5.19285	+	2.99810i	−0.553560	+	0.319598i
$89$	−16.0165	−	2.82414i	−1.69774	−	0.299358i	−0.760838	−	0.648942i	$-0.775212\pi$
$89$	−16.0165	−	2.82414i	−1.69774	−	0.299358i	−0.936905	+	0.349584i	$0.886323\pi$
$90$	−1.30572	+	7.40509i	−0.137635	+	0.780566i
$91$	5.50263	−	6.55778i	0.576832	−	0.687442i
$92$	2.17885	−	5.98635i	0.227161	−	0.624120i
$93$	0.403856	−	1.10959i	0.0418780	−	0.115059i
$94$	3.96922	−	4.73033i	0.409394	−	0.487896i
$95$	0.709264	−	4.02243i	0.0727689	−	0.412693i
$96$	−0.342020	−	0.0603074i	−0.0349073	−	0.00615510i
$97$	−14.1175	+	8.15074i	−1.43342	+	0.827583i	−0.997380	−	0.0723469i	$-0.976951\pi$
$97$	−14.1175	+	8.15074i	−1.43342	+	0.827583i	−0.436036	+	0.899929i	$0.643618\pi$
$98$	−1.72030	−	2.05018i	−0.173777	−	0.207099i
$99$	16.2241	−	5.90509i	1.63058	−	0.593484i
$100$	−0.909799	+	1.57582i	−0.0909799	+	0.157582i
$101$	−2.05124	−	3.55285i	−0.204106	−	0.353521i	0.745742	−	0.666235i	$-0.232095\pi$
$101$	−2.05124	−	3.55285i	−0.204106	−	0.353521i	−0.949847	+	0.312714i	$0.898762\pi$
$102$	0.256079	+	0.214876i	0.0253556	+	0.0212759i
$103$	9.35250	+	5.39967i	0.921530	+	0.532045i	0.884123	−	0.467255i	$-0.154757\pi$
$103$	9.35250	+	5.39967i	0.921530	+	0.532045i	0.0374069	+	0.999300i	$0.488090\pi$
$104$	0.714901	+	4.05440i	0.0701018	+	0.397567i
$105$		−	1.88585i		−	0.184040i
$106$	7.90585	−	1.39401i	0.767884	−	0.135399i
$107$	15.5549	−	13.0521i	1.50375	−	1.26180i	0.628823	−	0.777549i	$-0.283537\pi$
$107$	15.5549	−	13.0521i	1.50375	−	1.26180i	0.874930	−	0.484249i	$-0.160907\pi$
$108$	1.91875	+	0.698367i	0.184632	+	0.0672004i
$109$	2.13072	+	5.85411i	0.204086	+	0.560722i	0.998938	−	0.0460817i	$-0.0146734\pi$
$109$	2.13072	+	5.85411i	0.204086	+	0.560722i	−0.794851	+	0.606804i	$0.792451\pi$
$110$	15.6587			1.49300
$111$	2.02669	+	0.596055i	0.192365	+	0.0565750i
$112$	−2.07935			−0.196480
$113$	2.09726	+	5.76217i	0.197294	+	0.542059i	0.998405	−	0.0564555i	$-0.0179799\pi$
$113$	2.09726	+	5.76217i	0.197294	+	0.542059i	−0.801112	+	0.598515i	$0.795758\pi$
$114$	−0.510439	−	0.185785i	−0.0478070	−	0.0174003i
$115$	−12.7441	+	10.6936i	−1.18839	+	0.997181i
$116$	3.99362	−	0.704183i	0.370798	−	0.0653818i
$117$		−	11.8543i		−	1.09593i
$118$	−0.885636	−	5.02269i	−0.0815294	−	0.462376i
$119$	1.73331	+	1.00073i	0.158893	+	0.0917367i
$120$	0.694758	+	0.582971i	0.0634224	+	0.0532177i
$121$	−12.4772	−	21.6111i	−1.13429	−	1.96464i
$122$	−4.86567	+	8.42760i	−0.440517	+	0.762999i
$123$	3.38475	−	1.23195i	0.305193	−	0.111081i
$124$	2.18546	+	2.60453i	0.196260	+	0.233893i
$125$	−7.19270	+	4.15271i	−0.643335	+	0.371429i
$126$	5.89628	+	1.03967i	0.525283	+	0.0926215i
$127$	−1.10807	+	6.28420i	−0.0983257	+	0.557633i	0.895352	+	0.445360i	$0.146924\pi$
$127$	−1.10807	+	6.28420i	−0.0983257	+	0.557633i	−0.993677	+	0.112273i	$0.964187\pi$
$128$	0.642788	−	0.766044i	0.0568149	−	0.0677094i
$129$	0.447729	−	1.23013i	0.0394203	−	0.108307i
$130$	3.67711	−	10.1028i	0.322504	−	0.886072i
$131$	6.71929	−	8.00774i	0.587067	−	0.699640i	−0.387972	−	0.921671i	$-0.626824\pi$
$131$	6.71929	−	8.00774i	0.587067	−	0.699640i	0.975039	+	0.222032i	$0.0712688\pi$
$132$	0.361615	−	2.05082i	0.0314745	−	0.178501i
$133$	−3.20285	−	0.564749i	−0.277722	−	0.0489699i
$134$	−9.13979	+	5.27686i	−0.789557	+	0.455851i
$135$	−3.42751	−	4.08475i	−0.294993	−	0.351559i
$136$	−0.904494	+	0.329209i	−0.0775597	+	0.0282294i
$137$	−3.12091	+	5.40557i	−0.266637	+	0.461829i	−0.967991	−	0.250984i	$-0.919246\pi$
$137$	−3.12091	+	5.40557i	−0.266637	+	0.461829i	0.701354	+	0.712813i	$0.252579\pi$
$138$	1.10623	+	1.91605i	0.0941687	+	0.163105i
$139$	5.27989	+	4.43035i	0.447834	+	0.375778i	0.838632	−	0.544699i	$-0.183356\pi$
$139$	5.27989	+	4.43035i	0.447834	+	0.375778i	−0.390797	+	0.920477i	$0.627801\pi$
$140$	4.70259	+	2.71504i	0.397441	+	0.229463i
$141$	0.372398	+	2.11198i	0.0313616	+	0.177861i
$142$			10.8018i			0.906463i
$143$	−24.3110	+	4.28668i	−2.03299	+	0.358470i
$144$	−2.20574	+	1.85083i	−0.183811	+	0.154236i
$145$	−9.95132	−	3.62198i	−0.826412	−	0.300789i
$146$	−1.21517	−	3.33866i	−0.100569	−	0.276310i
$147$	0.929475			0.0766618
$148$	−4.40414	+	4.19566i	−0.362018	+	0.344881i
$149$	3.49508			0.286328			0.143164	−	0.989699i	$-0.454272\pi$
$149$	3.49508			0.286328			0.143164	+	0.989699i	$0.454272\pi$
$150$	−0.216136	−	0.593829i	−0.0176474	−	0.0484860i
$151$	8.84115	+	3.21791i	0.719482	+	0.261870i	0.675706	−	0.737171i	$-0.263839\pi$
$151$	8.84115	+	3.21791i	0.719482	+	0.261870i	0.0437763	+	0.999041i	$0.486061\pi$
$152$	1.19815	−	1.00537i	0.0971830	−	0.0815462i
$153$	2.72942	−	0.481271i	0.220661	−	0.0389085i
$154$		−	12.4682i		−	1.00471i
$155$	−1.54179	−	8.74391i	−0.123839	−	0.702328i
$156$	−1.23824	−	0.714901i	−0.0991389	−	0.0572379i
$157$	1.94170	+	1.62928i	0.154964	+	0.130030i	0.716973	−	0.697101i	$-0.245527\pi$
$157$	1.94170	+	1.62928i	0.154964	+	0.130030i	−0.562009	+	0.827131i	$0.689971\pi$
$158$	−1.27486	−	2.20812i	−0.101422	−	0.175668i
$159$	−1.39401	+	2.41450i	−0.110553	+	0.191483i
$160$	−2.45395	+	0.893164i	−0.194002	+	0.0706108i
$161$	8.51472	+	10.1475i	0.671054	+	0.799731i
$162$	6.86673	−	3.96451i	0.539501	−	0.311481i
$163$	−9.23549	−	1.62847i	−0.723379	−	0.127551i	−0.200177	−	0.979760i	$-0.564152\pi$
$163$	−9.23549	−	1.62847i	−0.723379	−	0.127551i	−0.523202	+	0.852208i	$0.675263\pi$
$164$	−1.80099	+	10.2139i	−0.140634	+	0.797573i
$165$	−3.49561	+	4.16590i	−0.272133	+	0.324315i
$166$	2.36542	−	6.49893i	0.183592	−	0.504415i
$167$	−3.56469	+	9.79392i	−0.275844	+	0.757876i	0.721978	+	0.691916i	$0.243233\pi$
$167$	−3.56469	+	9.79392i	−0.275844	+	0.757876i	−0.997822	+	0.0659599i	$0.978989\pi$
$168$	0.464189	−	0.553199i	0.0358129	−	0.0426802i
$169$	−0.685785	+	3.88928i	−0.0527527	+	0.299175i
$170$	2.47543	+	0.436485i	0.189857	+	0.0334769i
$171$	−3.90021	+	2.25179i	−0.298257	+	0.172199i
$172$	2.42287	+	2.88747i	0.184742	+	0.220167i
$173$	−2.75312	+	1.00205i	−0.209316	+	0.0761846i	−0.444550	−	0.895754i	$-0.646636\pi$
$173$	−2.75312	+	1.00205i	−0.209316	+	0.0761846i	0.235234	+	0.971939i	$0.424414\pi$
$174$	−0.704183	+	1.21968i	−0.0533840	+	0.0924638i
$175$	−1.89179	−	3.27667i	−0.143006	−	0.247693i
$176$	4.59335	+	3.85428i	0.346237	+	0.290527i
$177$	1.53397	+	0.885636i	0.115300	+	0.0665685i
$178$	2.82414	+	16.0165i	0.211678	+	1.20049i
$179$		−	8.76703i		−	0.655279i	−0.944803	−	0.327639i	$-0.893747\pi$
$179$		−	8.76703i		−	0.655279i	0.944803	−	0.327639i	$-0.106253\pi$
$180$	7.40509	−	1.30572i	0.551943	−	0.0973225i
$181$	−20.4965	+	17.1986i	−1.52349	+	1.27836i	−0.693740	+	0.720225i	$0.744038\pi$
$181$	−20.4965	+	17.1986i	−1.52349	+	1.27836i	−0.829750	+	0.558135i	$0.811517\pi$
$182$	−8.04430	−	2.92789i	−0.596283	−	0.217029i
$183$	−1.15591	−	3.17584i	−0.0854475	−	0.234765i
$184$	−6.37054			−0.469642
$185$	15.4386	−	3.73820i	1.13507	−	0.274838i
$186$	−1.18080			−0.0865802
$187$	−1.97400	−	5.42352i	−0.144353	−	0.396607i
$188$	−5.80261	−	2.11198i	−0.423199	−	0.154032i
$189$	−3.25247	+	2.72915i	−0.236582	+	0.198516i
$190$	−4.02243	+	0.709264i	−0.291818	+	0.0514554i
$191$			1.81758i			0.131515i	0.997836	+	0.0657577i	$0.0209464\pi$
$191$			1.81758i			0.131515i	−0.997836	+	0.0657577i	$0.979054\pi$
$192$	0.0603074	+	0.342020i	0.00435231	+	0.0246832i
$193$	0.922363	+	0.532526i	0.0663931	+	0.0383321i	0.532829	−	0.846223i	$-0.321129\pi$
$193$	0.922363	+	0.532526i	0.0663931	+	0.0383321i	−0.466436	+	0.884555i	$0.654462\pi$
$194$	12.4877	+	10.4784i	0.896562	+	0.752305i
$195$	1.86692	+	3.23360i	0.133693	+	0.231563i
$196$	−1.33816	+	2.31776i	−0.0955827	+	0.165554i
$197$	14.8064	−	5.38909i	1.05491	−	0.383957i	0.244398	−	0.969675i	$-0.421410\pi$
$197$	14.8064	−	5.38909i	1.05491	−	0.383957i	0.810515	+	0.585718i	$0.199187\pi$
$198$	−11.0979	−	13.2260i	−0.788697	−	0.939932i
$199$	17.8722	−	10.3185i	1.26693	−	0.731461i	0.292523	−	0.956259i	$-0.405505\pi$
$199$	17.8722	−	10.3185i	1.26693	−	0.731461i	0.974406	+	0.224797i	$0.0721719\pi$
$200$	1.79195	+	0.315970i	0.126710	+	0.0223424i
$201$	0.636467	−	3.60958i	0.0448929	−	0.254600i
$202$	−2.63702	+	3.14268i	−0.185540	+	0.221118i
$203$	−2.88399	+	7.92370i	−0.202417	+	0.556135i
$204$	0.114333	−	0.314127i	0.00800491	−	0.0219933i
$205$	17.4096	−	20.7479i	1.21594	−	1.44910i
$206$	1.87529	−	10.6353i	0.130657	−	0.740995i
$207$	18.0646	+	3.18527i	1.25557	+	0.221391i
$208$	3.56538	−	2.05847i	0.247215	−	0.142730i
$209$	6.02839	+	7.18435i	0.416992	+	0.496952i
$210$	−1.77212	+	0.644998i	−0.122288	+	0.0445091i
$211$	−3.10070	+	5.37057i	−0.213461	+	0.369725i	−0.952795	−	0.303613i	$-0.901807\pi$
$211$	−3.10070	+	5.37057i	−0.213461	+	0.369725i	0.739335	+	0.673338i	$0.235140\pi$
$212$	−4.01391	−	6.95229i	−0.275676	−	0.477485i
$213$	−2.87375	−	2.41136i	−0.196906	−	0.165224i
$214$	−17.5851	−	10.1528i	−1.20209	−	0.694029i
$215$	−1.70928	−	9.69380i	−0.116572	−	0.661112i
$216$		−	2.04189i		−	0.138933i
$217$	−6.96231	+	1.22764i	−0.472633	+	0.0833379i
$218$	4.77232	−	4.00445i	0.323222	−	0.271216i
$219$	1.15951	+	0.422026i	0.0783521	+	0.0285178i
$220$	−5.35558	−	14.7143i	−0.361073	−	0.992040i
$221$	−3.96274			−0.266563
$222$	−0.133060	−	2.10833i	−0.00893039	−	0.141502i
$223$	0.839150			0.0561936			0.0280968	−	0.999605i	$-0.491055\pi$
$223$	0.839150			0.0561936			0.0280968	+	0.999605i	$0.491055\pi$
$224$	0.711179	+	1.95395i	0.0475176	+	0.130554i
$225$	−4.92335	−	1.79195i	−0.328224	−	0.119464i
$226$	4.69737	−	3.94156i	0.312464	−	0.262188i
$227$	6.42458	−	1.13283i	0.426415	−	0.0751884i	0.0436775	−	0.999046i	$-0.486093\pi$
$227$	6.42458	−	1.13283i	0.426415	−	0.0751884i	0.382737	+	0.923857i	$0.374981\pi$
$228$			0.543198i			0.0359742i
$229$	1.14680	+	6.50380i	0.0757824	+	0.429784i	0.998968	+	0.0454281i	$0.0144652\pi$
$229$	1.14680	+	6.50380i	0.0757824	+	0.429784i	−0.923185	+	0.384355i	$0.874424\pi$
$230$	14.4074	+	8.31813i	0.949997	+	0.548481i
$231$	3.31709	+	2.78336i	0.218248	+	0.183132i
$232$	−2.02761	−	3.51193i	−0.133119	−	0.230570i
$233$	11.3047	−	19.5803i	0.740594	−	1.28275i	−0.211632	−	0.977349i	$-0.567878\pi$
$233$	11.3047	−	19.5803i	0.740594	−	1.28275i	0.952225	−	0.305396i	$-0.0987889\pi$
$234$	−11.1394	+	4.05440i	−0.728204	+	0.265045i
$235$	10.3654	+	12.3530i	0.676161	+	0.805818i
$236$	−4.41688	+	2.55009i	−0.287515	+	0.165997i
$237$	0.872054	+	0.153767i	0.0566460	+	0.00998822i
$238$	0.347550	−	1.97105i	0.0225283	−	0.127764i
$239$	−11.0221	+	13.1357i	−0.712962	+	0.849675i	−0.993927	−	0.110043i	$-0.964901\pi$
$239$	−11.0221	+	13.1357i	−0.712962	+	0.849675i	0.280965	+	0.959718i	$0.409346\pi$
$240$	0.310193	−	0.852247i	0.0200228	−	0.0550123i
$241$	1.94526	−	5.34455i	0.125305	−	0.344273i	−0.861139	−	0.508369i	$-0.830249\pi$
$241$	1.94526	−	5.34455i	0.125305	−	0.344273i	0.986444	+	0.164096i	$0.0524708\pi$
$242$	−16.0403	+	19.1161i	−1.03111	+	1.22883i
$243$	−1.54189	+	8.74449i	−0.0989122	+	0.560959i
$244$	9.58351	+	1.68983i	0.613521	+	0.108180i
$245$	6.05267	−	3.49451i	0.386691	−	0.223256i
$246$	−2.31531	−	2.75928i	−0.147619	−	0.175925i
$247$	6.05089	−	2.20235i	0.385009	−	0.140132i
$248$	1.69998	−	2.94446i	0.107949	−	0.186973i
$249$	1.20095	+	2.08011i	0.0761074	+	0.131822i
$250$	6.36232	+	5.33862i	0.402388	+	0.337644i
$251$	−21.9528	−	12.6745i	−1.38565	−	0.800006i	−0.392829	−	0.919611i	$-0.628504\pi$
$251$	−21.9528	−	12.6745i	−1.38565	−	0.800006i	−0.992821	+	0.119606i	$0.961837\pi$
$252$	−1.03967	−	5.89628i	−0.0654933	−	0.371431i
$253$		−	38.1990i		−	2.40155i
$254$	6.28420	−	1.10807i	0.394306	−	0.0695268i
$255$	−0.668734	+	0.561134i	−0.0418777	+	0.0351396i
$256$	−0.939693	−	0.342020i	−0.0587308	−	0.0213763i
$257$	1.76857	+	4.85911i	0.110320	+	0.303103i	0.982551	−	0.185991i	$-0.0595496\pi$
$257$	1.76857	+	4.85911i	0.110320	+	0.303103i	−0.872231	+	0.489094i	$0.837327\pi$
$258$	−1.30907			−0.0814993
$259$	−2.97653	−	12.2929i	−0.184953	−	0.763847i
$260$	−10.7512			−0.666758
$261$	3.99362	+	10.9724i	0.247199	+	0.679173i
$262$	−9.82295	−	3.57526i	−0.606864	−	0.220880i
$263$	7.40923	−	6.21708i	0.456873	−	0.383362i	−0.385106	−	0.922872i	$-0.625835\pi$
$263$	7.40923	−	6.21708i	0.456873	−	0.383362i	0.841979	+	0.539511i	$0.181391\pi$
$264$	−2.05082	+	0.361615i	−0.126219	+	0.0222558i
$265$			20.9641i			1.28782i
$266$	0.564749	+	3.20285i	0.0346270	+	0.196379i
$267$	−4.89155	−	2.82414i	−0.299358	−	0.172834i
$268$	8.08462	+	6.78380i	0.493847	+	0.414386i
$269$	11.9383	+	20.6777i	0.727889	+	1.26074i	0.957774	+	0.287523i	$0.0928316\pi$
$269$	11.9383	+	20.6777i	0.727889	+	1.26074i	−0.229885	+	0.973218i	$0.573835\pi$
$270$	−2.66613	+	4.61787i	−0.162256	+	0.281035i
$271$	−17.2047	+	6.26199i	−1.04511	+	0.380389i	−0.806815	−	0.590804i	$-0.798811\pi$
$271$	−17.2047	+	6.26199i	−1.04511	+	0.380389i	−0.238295	+	0.971193i	$0.576589\pi$
$272$	0.618710	+	0.737350i	0.0375148	+	0.0447084i
$273$	2.57474	−	1.48653i	0.155830	−	0.0899687i
$274$	6.14698	+	1.08388i	0.371353	+	0.0654795i
$275$	−1.89462	+	10.7449i	−0.114250	+	0.647942i
$276$	1.42214	−	1.69485i	0.0856030	−	0.102018i
$277$	−6.06459	+	16.6623i	−0.364386	+	1.00114i	0.613075	+	0.790025i	$0.289932\pi$
$277$	−6.06459	+	16.6623i	−0.364386	+	1.00114i	−0.977461	+	0.211117i	$0.932290\pi$
$278$	2.35734	−	6.47674i	0.141384	−	0.388449i
$279$	−6.29278	+	7.49944i	−0.376739	+	0.448980i
$280$	0.942924	−	5.34759i	0.0563505	−	0.319579i
$281$	−15.0167	−	2.64786i	−0.895824	−	0.157958i	−0.293264	−	0.956032i	$-0.594741\pi$
$281$	−15.0167	−	2.64786i	−0.895824	−	0.157958i	−0.602560	+	0.798074i	$0.705853\pi$
$282$	1.85724	−	1.07228i	0.110597	−	0.0638533i
$283$	15.7182	+	18.7322i	0.934350	+	1.11351i	0.993336	+	0.115256i	$0.0367689\pi$
$283$	15.7182	+	18.7322i	0.934350	+	1.11351i	−0.0589858	+	0.998259i	$0.518787\pi$
$284$	10.1503	−	3.69442i	0.602311	−	0.219223i
$285$	0.709264	−	1.22848i	0.0420132	−	0.0727689i
$286$	12.3430	+	21.3787i	0.729857	+	1.26415i
$287$	−16.5205	−	13.8623i	−0.975172	−	0.818266i
$288$	2.49362	+	1.43969i	0.146938	+	0.0848347i
$289$	2.79114	+	15.8293i	0.164184	+	0.931136i
$290$			10.5900i			0.621864i
$291$	−5.57544	+	0.983100i	−0.326838	+	0.0576303i
$292$	−2.72170	+	2.28378i	−0.159276	+	0.133648i
$293$	−11.8143	−	4.30005i	−0.690199	−	0.251212i	−0.0269784	−	0.999636i	$-0.508589\pi$
$293$	−11.8143	−	4.30005i	−0.690199	−	0.251212i	−0.663220	+	0.748424i	$0.730811\pi$
$294$	−0.317899	−	0.873420i	−0.0185402	−	0.0509389i
$295$	13.3188			0.775450
$296$	5.44893	+	2.70354i	0.316713	+	0.157140i
$297$	12.2436			0.710443
$298$	−1.19539	−	3.28430i	−0.0692469	−	0.190254i
$299$	−24.6455	−	8.97022i	−1.42529	−	0.518761i
$300$	−0.484094	+	0.406203i	−0.0279492	+	0.0234521i
$301$	−7.71866	+	1.36101i	−0.444896	+	0.0784472i
$302$		−	9.40855i		−	0.541401i
$303$	−0.247409	−	1.40313i	−0.0142133	−	0.0806076i
$304$	−1.35453	−	0.782038i	−0.0776876	−	0.0448530i
$305$	−19.4673	−	16.3350i	−1.11470	−	0.935341i
$306$	−1.38576	−	2.40021i	−0.0792189	−	0.137211i
$307$	−4.70103	+	8.14242i	−0.268302	+	0.464713i	−0.968423	−	0.249311i	$-0.919796\pi$
$307$	−4.70103	+	8.14242i	−0.268302	+	0.464713i	0.700122	+	0.714024i	$0.253129\pi$
$308$	−11.7162	+	4.26436i	−0.667595	+	0.242985i
$309$	2.41082	+	2.87310i	0.137147	+	0.163445i
$310$	−7.68927	+	4.43940i	−0.436721	+	0.252141i
$311$	−15.8568	−	2.79599i	−0.899158	−	0.158546i	−0.295082	−	0.955472i	$-0.595347\pi$
$311$	−15.8568	−	2.79599i	−0.899158	−	0.158546i	−0.604077	+	0.796926i	$0.706458\pi$
$312$	−0.248282	+	1.40808i	−0.0140562	+	0.0797168i
$313$	0.370220	−	0.441211i	0.0209261	−	0.0249387i	−0.755480	−	0.655172i	$-0.772596\pi$
$313$	0.370220	−	0.441211i	0.0209261	−	0.0249387i	0.776406	+	0.630233i	$0.217041\pi$
$314$	0.866920	−	2.38184i	0.0489231	−	0.134415i
$315$	−5.34759	+	14.6924i	−0.301302	+	0.827822i
$316$	−1.63893	+	1.95319i	−0.0921967	+	0.109876i
$317$	2.04083	−	11.5741i	0.114624	−	0.650067i	−0.872311	−	0.488951i	$-0.837380\pi$
$317$	2.04083	−	11.5741i	0.114624	−	0.650067i	0.986935	−	0.161116i	$-0.0515093\pi$
$318$	2.74567	+	0.484136i	0.153970	+	0.0271490i
$319$	21.0582	−	12.1580i	1.17903	−	0.680715i
$320$	1.67860	+	2.00048i	0.0938365	+	0.111830i
$321$	6.62675	−	2.41194i	0.369869	−	0.134621i
$322$	6.62328	−	11.4719i	0.369101	−	0.639302i
$323$	0.752745	+	1.30379i	0.0418838	+	0.0725449i
$324$	−6.07398	−	5.09667i	−0.337443	−	0.283148i
$325$	6.48757	+	3.74560i	0.359865	+	0.207768i
$326$	1.62847	+	9.23549i	0.0901924	+	0.511506i
$327$			2.16359i			0.119647i
$328$	10.2139	−	1.80099i	0.563970	−	0.0994430i
$329$	9.83600	−	8.25338i	0.542276	−	0.455024i
$330$	5.11023	+	1.85997i	0.281309	+	0.102388i
$331$	4.83530	+	13.2849i	0.265772	+	0.730202i	0.998752	+	0.0499518i	$0.0159068\pi$
$331$	4.83530	+	13.2849i	0.265772	+	0.730202i	−0.732980	+	0.680250i	$0.761871\pi$
$332$	−6.91602			−0.379566
$333$	−14.0994	−	10.3907i	−0.772645	−	0.569409i
$334$	10.4225			0.570292
$335$	−9.42620	−	25.8983i	−0.515008	−	1.41497i
$336$	−0.678599	−	0.246990i	−0.0370206	−	0.0134744i
$337$	8.21240	−	6.89102i	0.447358	−	0.375378i	−0.391096	−	0.920350i	$-0.627904\pi$
$337$	8.21240	−	6.89102i	0.447358	−	0.375378i	0.838454	+	0.544972i	$0.183460\pi$
$338$	3.88928	−	0.685785i	0.211549	−	0.0373018i
$339$			2.12961i			0.115665i
$340$	−0.436485	−	2.47543i	−0.0236717	−	0.134249i
$341$	17.6555	+	10.1934i	0.956101	+	0.552005i
$342$	3.44994	+	2.89485i	0.186552	+	0.156535i
$343$	−10.0602	−	17.4248i	−0.543200	−	0.940850i
$344$	1.88466	−	3.26433i	0.101614	−	0.176001i
$345$	−5.42927	+	1.97609i	−0.292302	+	0.106389i
$346$	1.88324	+	2.24436i	0.101244	+	0.120658i
$347$	−6.10989	+	3.52754i	−0.327996	+	0.189368i	−0.654951	−	0.755671i	$-0.727311\pi$
$347$	−6.10989	+	3.52754i	−0.327996	+	0.189368i	0.326955	+	0.945040i	$0.393977\pi$
$348$	1.38697	+	0.244560i	0.0743494	+	0.0131098i
$349$	4.45331	−	25.2560i	0.238380	−	1.35192i	−0.596996	−	0.802244i	$-0.703639\pi$
$349$	4.45331	−	25.2560i	0.238380	−	1.35192i	0.835376	−	0.549679i	$-0.185250\pi$
$350$	−2.43204	+	2.89839i	−0.129998	+	0.154925i
$351$	2.87514	−	7.89939i	0.153464	−	0.421638i
$352$	2.05082	−	5.63458i	0.109309	−	0.300324i
$353$	4.22017	−	5.02940i	0.224617	−	0.267688i	−0.641953	−	0.766744i	$-0.721875\pi$
$353$	4.22017	−	5.02940i	0.224617	−	0.267688i	0.866570	+	0.499056i	$0.166320\pi$
$354$	0.307578	−	1.74436i	0.0163476	−	0.0927119i
$355$	−27.7795	−	4.89828i	−1.47438	−	0.259974i
$356$	14.0847	−	8.13178i	0.746485	−	0.430983i
$357$	0.446801	+	0.532477i	0.0236472	+	0.0281817i
$358$	−8.23831	+	2.99850i	−0.435408	+	0.158476i
$359$	−9.92813	+	17.1960i	−0.523987	+	0.907572i	0.475623	+	0.879649i	$0.342223\pi$
$359$	−9.92813	+	17.1960i	−0.523987	+	0.907572i	−0.999610	+	0.0279226i	$0.991111\pi$
$360$	−3.75967	−	6.51193i	−0.198152	−	0.343209i
$361$	12.6808	+	10.6405i	0.667413	+	0.560026i
$362$	23.1716	+	13.3781i	1.21787	+	0.703138i
$363$	−1.50493	−	8.53487i	−0.0789883	−	0.447965i
$364$			8.56057i			0.448696i
$365$	9.13730	−	1.61115i	0.478268	−	0.0843315i
$366$	−2.58897	+	2.17240i	−0.135328	+	0.113553i
$367$	20.2967	+	7.38739i	1.05948	+	0.385619i	0.812233	−	0.583334i	$-0.198252\pi$
$367$	20.2967	+	7.38739i	1.05948	+	0.385619i	0.247246	+	0.968953i	$0.420474\pi$
$368$	2.17885	+	5.98635i	0.113581	+	0.312060i
$369$	−29.8635			−1.55463
$370$	−8.79308	−	13.2290i	−0.457130	−	0.687744i
$371$	16.6926			0.866637
$372$	0.403856	+	1.10959i	0.0209390	+	0.0575294i
$373$	29.3944	+	10.6987i	1.52198	+	0.553956i	0.961642	−	0.274306i	$-0.0884482\pi$
$373$	29.3944	+	10.6987i	1.52198	+	0.553956i	0.560340	+	0.828263i	$0.310670\pi$
$374$	−4.42129	+	3.70990i	−0.228619	+	0.191835i
$375$	−2.84062	+	0.500878i	−0.146689	+	0.0258652i
$376$			6.17501i			0.318452i
$377$	−2.89909	−	16.4415i	−0.149311	−	0.846782i
$378$	3.67697	+	2.12290i	0.189123	+	0.109190i
$379$	−15.3668	−	12.8943i	−0.789339	−	0.662334i	0.156243	−	0.987719i	$-0.450062\pi$
$379$	−15.3668	−	12.8943i	−0.789339	−	0.662334i	−0.945582	+	0.325384i	$0.894506\pi$
$380$	2.04224	+	3.53727i	0.104765	+	0.181458i
$381$	−1.10807	+	1.91924i	−0.0567684	+	0.0983257i
$382$	1.70796	−	0.621648i	0.0873871	−	0.0318063i
$383$	10.6054	+	12.6391i	0.541913	+	0.645826i	0.965615	−	0.259975i	$-0.0837143\pi$
$383$	10.6054	+	12.6391i	0.541913	+	0.645826i	−0.423703	+	0.905801i	$0.639270\pi$
$384$	0.300767	−	0.173648i	0.0153485	−	0.00886145i
$385$	32.0652	+	5.65395i	1.63419	+	0.288152i
$386$	0.184945	−	1.04887i	0.00941343	−	0.0533862i
$387$	−6.97639	+	8.31414i	−0.354630	+	0.422631i
$388$	5.57544	−	15.3184i	0.283050	−	0.777673i
$389$	0.282656	−	0.776592i	0.0143312	−	0.0393748i	−0.932321	−	0.361632i	$-0.882220\pi$
$389$	0.282656	−	0.776592i	0.0143312	−	0.0393748i	0.946652	+	0.322258i	$0.104442\pi$
$390$	2.40006	−	2.86028i	0.121532	−	0.144836i
$391$	1.06479	−	6.03875i	0.0538490	−	0.305393i
$392$	2.63566	+	0.464737i	0.133121	+	0.0234728i
$393$	3.14403	−	1.81521i	0.158595	−	0.0915651i
$394$	−10.1282	−	12.0703i	−0.510251	−	0.608093i
$395$	6.25687	−	2.27731i	0.314817	−	0.114584i
$396$	−8.63267	+	14.9522i	−0.433808	+	0.751378i
$397$	−4.52451	−	7.83669i	−0.227079	−	0.393312i	0.729862	−	0.683594i	$-0.239584\pi$
$397$	−4.52451	−	7.83669i	−0.227079	−	0.393312i	−0.956941	+	0.290282i	$0.906251\pi$
$398$	−15.8089	−	13.2653i	−0.792429	−	0.664927i
$399$	−0.978174	−	0.564749i	−0.0489699	−	0.0282728i
$400$	−0.315970	−	1.79195i	−0.0157985	−	0.0895977i
$401$			13.1254i			0.655452i	0.944773	+	0.327726i	$0.106282\pi$
$401$			13.1254i			0.655452i	−0.944773	+	0.327726i	$0.893718\pi$
$402$	−3.60958	+	0.636467i	−0.180030	+	0.0317441i
$403$	10.7227	−	8.99742i	0.534136	−	0.448194i
$404$	3.85506	+	1.40313i	0.191797	+	0.0698083i
$405$	7.08191	+	19.4574i	0.351903	+	0.966845i
$406$	8.43223			0.418484
$407$	−16.2110	+	32.6728i	−0.803547	+	1.61953i
$408$	−0.334287			−0.0165497
$409$	2.70223	+	7.42432i	0.133617	+	0.367109i	0.988399	−	0.151877i	$-0.0485318\pi$
$409$	2.70223	+	7.42432i	0.133617	+	0.367109i	−0.854783	+	0.518986i	$0.826310\pi$
$410$	−25.4511	−	9.26344i	−1.25694	−	0.457489i
$411$	−1.66060	+	1.39341i	−0.0819113	+	0.0687318i
$412$	−10.6353	+	1.87529i	−0.523962	+	0.0923887i
$413$		−	10.6050i		−	0.521840i
$414$	−3.18527	−	18.0646i	−0.156547	−	0.887824i
$415$	15.6411	+	9.03037i	0.767789	+	0.443283i
$416$	−3.15377	−	2.64632i	−0.154626	−	0.129747i
$417$	1.19685	+	2.07301i	0.0586102	+	0.101516i
$418$	4.68925	−	8.12202i	0.229359	−	0.397261i
$419$	30.0521	−	10.9381i	1.46814	−	0.534361i	0.520548	−	0.853832i	$-0.325728\pi$
$419$	30.0521	−	10.9381i	1.46814	−	0.534361i	0.947596	+	0.319472i	$0.103506\pi$
$420$	1.21220	+	1.44464i	0.0591493	+	0.0704914i
$421$	−4.86073	+	2.80634i	−0.236897	+	0.136773i	−0.613750	−	0.789501i	$-0.710340\pi$
$421$	−4.86073	+	2.80634i	−0.236897	+	0.136773i	0.376853	+	0.926273i	$0.377006\pi$
$422$	6.10718	+	1.07686i	0.297293	+	0.0524208i
$423$	3.08750	−	17.5101i	0.150120	−	0.851370i
$424$	−5.16018	+	6.14966i	−0.250600	+	0.298654i
$425$	−0.599028	+	1.64581i	−0.0290571	+	0.0798337i
$426$	−1.28306	+	3.52517i	−0.0621643	+	0.170795i
$427$	−13.0067	+	15.5008i	−0.629439	+	0.750136i
$428$	−3.52602	+	19.9970i	−0.170437	+	0.966594i
$429$	−8.44311	−	1.48875i	−0.407637	−	0.0718775i
$430$	−8.52459	+	4.92167i	−0.411092	+	0.237344i
$431$	−12.8250	−	15.2842i	−0.617757	−	0.736214i	0.362926	−	0.931818i	$-0.381778\pi$
$431$	−12.8250	−	15.2842i	−0.617757	−	0.736214i	−0.980683	+	0.195604i	$0.937333\pi$
$432$	−1.91875	+	0.698367i	−0.0923158	+	0.0336002i
$433$	7.91046	−	13.7013i	0.380152	−	0.658443i	−0.610931	−	0.791684i	$-0.709205\pi$
$433$	7.91046	−	13.7013i	0.380152	−	0.658443i	0.991084	+	0.133240i	$0.0425382\pi$
$434$	3.53486	+	6.12255i	0.169679	+	0.293892i
$435$	−2.81740	−	2.36408i	−0.135084	−	0.113349i
$436$	−5.39518	−	3.11491i	−0.258382	−	0.149177i
$437$	1.73023	+	9.81263i	0.0827682	+	0.469402i
$438$		−	1.23392i		−	0.0589590i
$439$	3.01674	−	0.531932i	0.143981	−	0.0253878i	−0.101193	−	0.994867i	$-0.532266\pi$
$439$	3.01674	−	0.531932i	0.143981	−	0.0253878i	0.245174	+	0.969479i	$0.421155\pi$
$440$	−11.9952	+	10.0652i	−0.571850	+	0.479839i
$441$	−7.24141	−	2.63566i	−0.344829	−	0.125507i
$442$	1.35534	+	3.72375i	0.0644668	+	0.177121i
$443$	−2.75923			−0.131095			−0.0655475	−	0.997849i	$-0.520879\pi$
$443$	−2.75923			−0.131095			−0.0655475	+	0.997849i	$0.520879\pi$
$444$	−1.93567	+	0.846125i	−0.0918628	+	0.0401553i
$445$	−42.4712			−2.01333
$446$	−0.287006	−	0.788543i	−0.0135901	−	0.0373386i
$447$	1.14062	+	0.415153i	0.0539497	+	0.0196361i
$448$	1.59287	−	1.33658i	0.0752561	−	0.0631474i
$449$	−22.3120	+	3.93421i	−1.05297	+	0.185667i	−0.673235	−	0.739428i	$-0.735096\pi$
$449$	−22.3120	+	3.93421i	−1.05297	+	0.185667i	−0.379735	+	0.925095i	$0.623985\pi$
$450$			5.23932i			0.246984i
$451$	10.7991	+	61.2446i	0.508509	+	2.88390i
$452$	−5.31045	−	3.06599i	−0.249782	−	0.144212i
$453$	2.50309	+	2.10034i	0.117606	+	0.0986828i
$454$	−3.26185	−	5.64968i	−0.153086	−	0.265153i
$455$	11.1777	−	19.3603i	0.524018	−	0.907626i
$456$	0.510439	−	0.185785i	0.0239035	−	0.00870017i
$457$	−18.9638	−	22.6002i	−0.887089	−	1.05719i	−0.997991	−	0.0633601i	$-0.979818\pi$
$457$	−18.9638	−	22.6002i	−0.887089	−	1.05719i	0.110902	−	0.993831i	$-0.464626\pi$
$458$	5.71935	−	3.30207i	0.267248	−	0.154296i
$459$	1.93554	+	0.341289i	0.0903435	+	0.0159300i
$460$	2.88885	−	16.3835i	0.134694	−	0.763885i
$461$	2.61917	−	3.12141i	0.121987	−	0.145378i	−0.701594	−	0.712576i	$-0.747528\pi$
$461$	2.61917	−	3.12141i	0.121987	−	0.145378i	0.823581	+	0.567198i	$0.191973\pi$
$462$	1.48100	−	4.06901i	0.0689022	−	0.189307i
$463$	−1.00637	+	2.76497i	−0.0467699	+	0.128499i	−0.960879	−	0.276970i	$-0.910670\pi$
$463$	−1.00637	+	2.76497i	−0.0467699	+	0.128499i	0.914109	+	0.405469i	$0.132892\pi$
$464$	−2.60665	+	3.10649i	−0.121011	+	0.144215i
$465$	0.535457	−	3.03673i	0.0248312	−	0.140825i
$466$	−22.2659	−	3.92607i	−1.03145	−	0.181872i
$467$	4.59204	−	2.65121i	0.212494	−	0.122684i	−0.389976	−	0.920825i	$-0.627517\pi$
$467$	4.59204	−	2.65121i	0.212494	−	0.122684i	0.602470	+	0.798142i	$0.294183\pi$
$468$	7.61979	+	9.08091i	0.352225	+	0.419765i
$469$	−20.6214	+	7.50558i	−0.952208	+	0.346575i
$470$	8.06282	−	13.9652i	0.371910	−	0.644167i
$471$	0.440147	+	0.762356i	0.0202809	+	0.0351275i
$472$	3.90696	+	3.27833i	0.179833	+	0.150897i
$473$	19.5735	+	11.3008i	0.899992	+	0.519611i
$474$	−0.153767	−	0.872054i	−0.00706273	−	0.0400548i
$475$		−	2.84599i		−	0.130583i
$476$	−1.97105	+	0.347550i	−0.0903430	+	0.0159299i
$477$	17.7072	−	14.8581i	0.810759	−	0.680308i
$478$	16.1133	+	5.86475i	0.737004	+	0.268248i
$479$	−6.11079	−	16.7893i	−0.279209	−	0.767121i	−0.997453	−	0.0713293i	$-0.977276\pi$
$479$	−6.11079	−	16.7893i	−0.279209	−	0.767121i	0.718244	−	0.695792i	$-0.244946\pi$
$480$	−0.906942			−0.0413961
$481$	17.2733	+	18.1316i	0.787595	+	0.826731i
$482$	−5.68755			−0.259061
$483$	1.57346	+	4.32304i	0.0715948	+	0.196705i
$484$	23.4494	+	8.53487i	1.06588	+	0.387949i
$485$	−32.6107	+	27.3637i	−1.48078	+	1.24252i
$486$	8.74449	−	1.54189i	0.396658	−	0.0699415i
$487$			31.2962i			1.41817i	0.705124	+	0.709084i	$0.250891\pi$
$487$			31.2962i			1.41817i	−0.705124	+	0.709084i	$0.749109\pi$
$488$	−1.68983	−	9.58351i	−0.0764951	−	0.433825i
$489$	−2.82059	−	1.62847i	−0.127551	−	0.0736418i
$490$	−5.35390	−	4.49246i	−0.241865	−	0.202949i
$491$	6.72900	+	11.6550i	0.303676	+	0.525982i	0.976966	−	0.213397i	$-0.0684527\pi$
$491$	6.72900	+	11.6550i	0.303676	+	0.525982i	−0.673290	+	0.739379i	$0.735119\pi$
$492$	−1.80099	+	3.11941i	−0.0811949	+	0.140634i
$493$	3.66793	−	1.33502i	0.165195	−	0.0601261i
$494$	−4.13905	−	4.93273i	−0.186225	−	0.221934i
$495$	39.0468	−	22.5437i	1.75502	−	1.01326i
$496$	−3.34832	−	0.590399i	−0.150344	−	0.0265097i
$497$	−3.90024	+	22.1194i	−0.174950	+	0.992189i
$498$	1.54392	−	1.83997i	0.0691846	−	0.0824510i
$499$	12.5759	−	34.5520i	0.562974	−	1.54676i	−0.252279	−	0.967654i	$-0.581180\pi$
$499$	12.5759	−	34.5520i	0.562974	−	1.54676i	0.815253	−	0.579104i	$-0.196598\pi$
$500$	2.84062	−	7.80454i	0.127036	−	0.349030i
$501$	−2.32669	+	2.77284i	−0.103949	+	0.123881i
$502$	−4.40180	+	24.9638i	−0.196462	+	1.11419i
$503$	6.15105	+	1.08460i	0.274262	+	0.0483597i	0.309087	−	0.951034i	$-0.399976\pi$
$503$	6.15105	+	1.08460i	0.274262	+	0.0483597i	−0.0348257	+	0.999393i	$0.511088\pi$
$504$	−5.18510	+	2.99362i	−0.230963	+	0.133346i
$505$	−6.88641	−	8.20690i	−0.306441	−	0.365202i
$506$	−35.8953	+	13.0648i	−1.59574	+	0.580802i
$507$	−0.685785	+	1.18781i	−0.0304568	+	0.0527527i
$508$	−3.19057	−	5.52624i	−0.141559	−	0.245187i
$509$	−6.29668	−	5.28355i	−0.279096	−	0.234189i	0.492484	−	0.870321i	$-0.336089\pi$
$509$	−6.29668	−	5.28355i	−0.279096	−	0.234189i	−0.771580	+	0.636132i	$0.780533\pi$
$510$	0.756014	+	0.436485i	0.0334769	+	0.0193279i
$511$	−1.28287	−	7.27554i	−0.0567510	−	0.321851i
$512$			1.00000i			0.0441942i
$513$	−3.14515	+	0.554575i	−0.138862	+	0.0244851i
$514$	3.96118	−	3.32383i	0.174720	−	0.146608i
$515$	26.5010	+	9.64558i	1.16777	+	0.425035i
$516$	0.447729	+	1.23013i	0.0197102	+	0.0541533i
$517$	−37.0265			−1.62842
$518$	−10.5336	+	7.00146i	−0.462818	+	0.307626i
$519$	−1.01751			−0.0446638
$520$	3.67711	+	10.1028i	0.161252	+	0.443036i
$521$	−20.8518	−	7.58945i	−0.913536	−	0.332500i	−0.157872	−	0.987460i	$-0.550463\pi$
$521$	−20.8518	−	7.58945i	−0.913536	−	0.332500i	−0.755664	+	0.654960i	$0.772686\pi$
$522$	8.94477	−	7.50555i	0.391502	−	0.328509i
$523$	−13.7427	+	2.42321i	−0.600927	+	0.105960i	−0.465832	−	0.884873i	$-0.654245\pi$
$523$	−13.7427	+	2.42321i	−0.600927	+	0.105960i	−0.135095	+	0.990833i	$0.543134\pi$
$524$			10.4534i			0.456657i
$525$	−0.228178	−	1.29406i	−0.00995849	−	0.0564774i
$526$	−8.37625	−	4.83603i	−0.365222	−	0.210861i
$527$	2.50697	+	2.10360i	0.109205	+	0.0916340i
$528$	1.04123	+	1.80346i	0.0453136	+	0.0784855i
$529$	8.79187	−	15.2280i	0.382255	−	0.662086i
$530$	19.6998	−	7.17015i	0.855706	−	0.311451i
$531$	−9.43958	−	11.2496i	−0.409643	−	0.488193i
$532$	2.81654	−	1.62613i	0.122112	−	0.0705016i
$533$	42.0502	+	7.41459i	1.82140	+	0.321161i
$534$	−0.980812	+	5.56246i	−0.0424439	+	0.240711i
$535$	34.0848	−	40.6207i	1.47362	−	1.75619i
$536$	3.60958	−	9.91725i	0.155910	−	0.428360i
$537$	1.04137	−	2.86114i	0.0449384	−	0.123467i
$538$	15.3475	−	18.2905i	0.661679	−	0.788559i
$539$	−2.78665	+	15.8039i	−0.120030	+	0.680722i
$540$	5.25125	+	0.925938i	0.225978	+	0.0398460i
$541$	20.9379	−	12.0885i	0.900192	−	0.519726i	0.0229292	−	0.999737i	$-0.492701\pi$
$541$	20.9379	−	12.0885i	0.900192	−	0.519726i	0.877262	+	0.480011i	$0.159367\pi$
$542$	11.7687	+	14.0254i	0.505509	+	0.602442i
$543$	−8.73195	+	3.17817i	−0.374724	+	0.136388i
$544$	0.481271	−	0.833586i	0.0206343	−	0.0357397i
$545$	8.13439	+	14.0892i	0.348439	+	0.603514i
$546$	−2.27749	−	1.91104i	−0.0974676	−	0.0817851i
$547$	−32.2382	−	18.6127i	−1.37840	−	0.795822i	−0.386437	−	0.922316i	$-0.626294\pi$
$547$	−32.2382	−	18.6127i	−1.37840	−	0.795822i	−0.991967	+	0.126494i	$0.959628\pi$
$548$	−1.08388	−	6.14698i	−0.0463010	−	0.262586i
$549$			28.0203i			1.19588i
$550$	10.7449	−	1.89462i	0.458164	−	0.0807867i
$551$	−4.85878	+	4.07700i	−0.206991	+	0.173686i
$552$	−2.07904	−	0.756707i	−0.0884897	−	0.0322076i
$553$	−1.81330	−	4.98201i	−0.0771095	−	0.211857i
$554$	17.7317			0.753347
$555$	5.48245	+	0.613867i	0.232717	+	0.0260572i
$556$	−6.89241			−0.292303
$557$	0.974054	+	2.67619i	0.0412720	+	0.113394i	0.958617	−	0.284700i	$-0.0918940\pi$
$557$	0.974054	+	2.67619i	0.0412720	+	0.113394i	−0.917345	+	0.398094i	$0.869672\pi$
$558$	9.19942	+	3.34832i	0.389443	+	0.141746i
$559$	11.8876	−	9.97485i	0.502790	−	0.421891i
$560$	−5.34759	+	0.942924i	−0.225977	+	0.0398458i
$561$		−	2.00445i		−	0.0846280i
$562$	2.64786	+	15.0167i	0.111693	+	0.633443i
$563$	−21.5088	−	12.4181i	−0.906489	−	0.523362i	−0.0271895	−	0.999630i	$-0.508656\pi$
$563$	−21.5088	−	12.4181i	−0.906489	−	0.523362i	−0.879300	+	0.476268i	$0.841989\pi$
$564$	−1.64283	−	1.37849i	−0.0691755	−	0.0580451i
$565$	8.00663	+	13.8679i	0.336841	+	0.583427i
$566$	12.2266	−	21.1771i	0.513922	−	0.890139i
$567$	15.4929	−	5.63895i	0.650640	−	0.236813i
$568$	−6.94323	−	8.27462i	−0.291332	−	0.347195i
$569$	−8.80519	+	5.08368i	−0.369133	+	0.213119i	−0.673080	−	0.739570i	$-0.735029\pi$
$569$	−8.80519	+	5.08368i	−0.369133	+	0.213119i	0.303947	+	0.952689i	$0.401696\pi$
$570$	−1.39698	−	0.246325i	−0.0585129	−	0.0103174i
$571$	3.25922	−	18.4839i	0.136394	−	0.773528i	−0.837485	−	0.546460i	$-0.815975\pi$
$571$	3.25922	−	18.4839i	0.136394	−	0.773528i	0.973879	−	0.227068i	$-0.0729140\pi$
$572$	15.8679	−	18.9106i	0.663469	−	0.790691i
$573$	−0.215896	+	0.593170i	−0.00901919	+	0.0247800i
$574$	−7.37598	+	20.2653i	−0.307868	+	0.845859i
$575$	−7.45108	+	8.87985i	−0.310731	+	0.370315i
$576$	0.500000	−	2.83564i	0.0208333	−	0.118152i
$577$	−18.5265	−	3.26672i	−0.771267	−	0.135995i	−0.225852	−	0.974162i	$-0.572517\pi$
$577$	−18.5265	−	3.26672i	−0.771267	−	0.135995i	−0.545415	+	0.838166i	$0.683628\pi$
$578$	13.9201	−	8.03676i	0.578999	−	0.334285i
$579$	0.237760	+	0.283351i	0.00988097	+	0.0117757i
$580$	9.95132	−	3.62198i	0.413206	−	0.150395i
$581$	7.19040	−	12.4541i	0.298308	−	0.516685i
$582$	2.83072	+	4.90296i	0.117337	+	0.203234i
$583$	−36.8745	−	30.9414i	−1.52719	−	1.28146i
$584$	3.07693	+	1.77647i	0.127324	+	0.0735107i
$585$	−5.37558	−	30.4864i	−0.222253	−	1.26046i
$586$			12.5725i			0.519366i
$587$	30.2531	−	5.33444i	1.24868	−	0.220176i	0.490048	−	0.871696i	$-0.336979\pi$
$587$	30.2531	−	5.33444i	1.24868	−	0.220176i	0.758632	+	0.651520i	$0.225868\pi$
$588$	−0.712019	+	0.597455i	−0.0293632	+	0.0246386i
$589$	−4.99711	−	1.81880i	−0.205902	−	0.0749423i
$590$	−4.55529	−	12.5156i	−0.187538	−	0.515258i
$591$	5.47223			0.225097
$592$	0.676854	−	6.04499i	0.0278185	−	0.248447i
$593$	6.18887			0.254147			0.127073	−	0.991893i	$-0.459442\pi$
$593$	6.18887			0.254147			0.127073	+	0.991893i	$0.459442\pi$
$594$	−4.18754	−	11.5052i	−0.171817	−	0.472063i
$595$	4.91147	+	1.78763i	0.201351	+	0.0732857i
$596$	−2.67738	+	2.24659i	−0.109670	+	0.0920240i
$597$	7.05829	−	1.24457i	0.288877	−	0.0509368i
$598$			26.2272i			1.07251i
$599$	−0.183355	−	1.03986i	−0.00749169	−	0.0424875i	0.980833	−	0.194852i	$-0.0624225\pi$
$599$	−0.183355	−	1.03986i	−0.00749169	−	0.0424875i	−0.988324	+	0.152364i	$0.951311\pi$
$600$	0.547276	+	0.315970i	0.0223424	+	0.0128994i
$601$	−11.9378	−	10.0170i	−0.486954	−	0.408603i	0.365979	−	0.930623i	$-0.380734\pi$
$601$	−11.9378	−	10.0170i	−0.486954	−	0.408603i	−0.852933	+	0.522020i	$0.825179\pi$
$602$	3.91887	+	6.78767i	0.159721	+	0.276645i
$603$	−15.1941	+	26.3170i	−0.618752	+	1.07171i
$604$	−8.84115	+	3.21791i	−0.359741	+	0.130935i
$605$	−41.8883	−	49.9205i	−1.70300	−	2.02956i
$606$	−1.23389	+	0.712387i	−0.0501234	+	0.0289387i
$607$	−31.7497	−	5.59834i	−1.28868	−	0.227229i	−0.513020	−	0.858377i	$-0.671473\pi$
$607$	−31.7497	−	5.59834i	−1.28868	−	0.227229i	−0.775663	+	0.631147i	$0.782584\pi$
$608$	−0.271599	+	1.54031i	−0.0110148	+	0.0624680i
$609$	−1.88239	+	2.24335i	−0.0762784	+	0.0909050i
$610$	−8.69169	+	23.8802i	−0.351916	+	0.966882i
$611$	−8.69490	+	23.8890i	−0.351758	+	0.966447i
$612$	−1.78150	+	2.12311i	−0.0720130	+	0.0858218i
$613$	−0.968237	+	5.49114i	−0.0391067	+	0.221785i	−0.998098	−	0.0616512i	$-0.980363\pi$
$613$	−0.968237	+	5.49114i	−0.0391067	+	0.221785i	0.958991	+	0.283436i	$0.0914745\pi$
$614$	9.25922	+	1.63265i	0.373672	+	0.0658884i
$615$	8.14613	−	4.70317i	0.328484	−	0.189650i
$616$	8.01438	+	9.55117i	0.322909	+	0.384827i
$617$	−3.80891	+	1.38633i	−0.153341	+	0.0558116i	−0.417550	−	0.908654i	$-0.637111\pi$
$617$	−3.80891	+	1.38633i	−0.153341	+	0.0558116i	0.264209	+	0.964465i	$0.414889\pi$
$618$	1.87529	−	3.24809i	0.0754351	−	0.130657i
$619$	3.68705	+	6.38616i	0.148195	+	0.256681i	0.930560	−	0.366138i	$-0.119320\pi$
$619$	3.68705	+	6.38616i	0.148195	+	0.256681i	−0.782365	+	0.622820i	$0.785987\pi$
$620$	6.80156	+	5.70718i	0.273157	+	0.229206i
$621$	11.2652	+	6.50397i	0.452057	+	0.260995i
$622$	2.79599	+	15.8568i	0.112109	+	0.635801i
$623$			33.8176i			1.35487i
$624$	1.40808	−	0.248282i	0.0563683	−	0.00993925i
$625$	−23.5843	+	19.7895i	−0.943370	+	0.791581i
$626$	−0.541225	−	0.196990i	−0.0216317	−	0.00787330i
$627$	1.11400	+	3.06069i	0.0444889	+	0.122232i
$628$	−2.53470			−0.101146
$629$	−3.47349	+	4.71327i	−0.138497	+	0.187930i
$630$	15.6353			0.622925
$631$	2.86348	+	7.86734i	0.113993	+	0.313194i	0.983549	−	0.180641i	$-0.0578171\pi$
$631$	2.86348	+	7.86734i	0.113993	+	0.313194i	−0.869556	+	0.493834i	$0.835595\pi$
$632$	2.39595	+	0.872054i	0.0953057	+	0.0346884i
$633$	−1.64985	+	1.38439i	−0.0655755	+	0.0550244i
$634$	−11.5741	+	2.04083i	−0.459667	+	0.0810517i
$635$			16.6640i			0.661289i
$636$	−0.484136	−	2.74567i	−0.0191973	−	0.108873i
$637$	9.54209	+	5.50913i	0.378071	+	0.218280i
$638$	−18.6271	−	15.6300i	−0.737453	−	0.618797i
$639$	15.5512	+	26.9355i	0.615196	+	1.06555i
$640$	1.30572	−	2.26157i	0.0516130	−	0.0893964i
$641$	11.1583	−	4.06129i	0.440726	−	0.160411i	−0.112120	−	0.993695i	$-0.535764\pi$
$641$	11.1583	−	4.06129i	0.440726	−	0.160411i	0.552846	+	0.833283i	$0.313542\pi$
$642$	−4.53296	−	5.40217i	−0.178902	−	0.213207i
$643$	−33.5232	+	19.3547i	−1.32203	+	0.763273i	−0.984052	−	0.177882i	$-0.943076\pi$
$643$	−33.5232	+	19.3547i	−1.32203	+	0.763273i	−0.337976	+	0.941155i	$0.609742\pi$
$644$	−13.0453	−	2.30024i	−0.514057	−	0.0906422i
$645$	0.593626	−	3.36662i	0.0233740	−	0.132561i
$646$	0.967710	−	1.15327i	0.0380740	−	0.0453749i
$647$	6.03672	−	16.5857i	0.237328	−	0.652053i	−0.762658	−	0.646801i	$-0.776106\pi$
$647$	6.03672	−	16.5857i	0.237328	−	0.652053i	0.999986	−	0.00525130i	$-0.00167155\pi$
$648$	−2.71188	+	7.45084i	−0.106533	+	0.292697i
$649$	−19.6575	+	23.4269i	−0.771624	+	0.919586i
$650$	1.30083	−	7.37739i	0.0510228	−	0.289365i
$651$	−2.41799	−	0.426356i	−0.0947683	−	0.0167102i
$652$	8.12155	−	4.68898i	0.318065	−	0.183635i
$653$	9.49773	+	11.3189i	0.371675	+	0.442945i	0.919168	−	0.393865i	$-0.128862\pi$
$653$	9.49773	+	11.3189i	0.371675	+	0.442945i	−0.547493	+	0.836810i	$0.684418\pi$
$654$	2.03311	−	0.739992i	0.0795010	−	0.0289360i
$655$	13.6491	−	23.6410i	0.533316	−	0.923731i
$656$	−5.18574	−	8.98197i	−0.202469	−	0.350687i
$657$	−7.83683	−	6.57588i	−0.305744	−	0.256550i
$658$	−11.1198	−	6.41999i	−0.433493	−	0.250277i
$659$	1.14933	+	6.51815i	0.0447714	+	0.253911i	0.998976	−	0.0452437i	$-0.0144064\pi$
$659$	1.14933	+	6.51815i	0.0447714	+	0.253911i	−0.954205	+	0.299155i	$0.903295\pi$
$660$		−	5.43820i		−	0.211682i
$661$	6.22992	−	1.09850i	0.242316	−	0.0427268i	−0.0511712	−	0.998690i	$-0.516295\pi$
$661$	6.22992	−	1.09850i	0.242316	−	0.0427268i	0.293487	+	0.955963i	$0.405184\pi$
$662$	10.8299	−	9.08738i	0.420917	−	0.353191i
$663$	−1.29325	−	0.470703i	−0.0502255	−	0.0182806i
$664$	2.36542	+	6.49893i	0.0917960	+	0.252207i
$665$	−8.49307			−0.329347
$666$	−4.94181	+	16.8030i	−0.191491	+	0.651102i
$667$	25.8340			1.00030
$668$	−3.56469	−	9.79392i	−0.137922	−	0.378938i
$669$	0.273858	+	0.0996762i	0.0105880	+	0.00385370i
$670$	−21.1125	+	17.7155i	−0.815645	+	0.684408i
$671$	57.4645	−	10.1325i	2.21839	−	0.391163i
$672$			0.722150i			0.0278575i
$673$	4.26450	+	24.1852i	0.164384	+	0.932269i	0.949697	+	0.313170i	$0.101391\pi$
$673$	4.26450	+	24.1852i	0.164384	+	0.932269i	−0.785313	+	0.619099i	$0.787498\pi$
$674$	−9.28425	−	5.36027i	−0.357616	−	0.206470i
$675$	−2.84618	−	2.38822i	−0.109549	−	0.0919228i
$676$	−1.97464	−	3.42017i	−0.0759476	−	0.131545i
$677$	11.2322	−	19.4547i	0.431687	−	0.747704i	−0.565332	−	0.824864i	$-0.691252\pi$
$677$	11.2322	−	19.4547i	0.431687	−	0.747704i	0.997019	+	0.0771600i	$0.0245852\pi$
$678$	2.00118	−	0.728370i	0.0768549	−	0.0279729i
$679$	21.7882	+	25.9662i	0.836155	+	0.996491i
$680$	−2.17686	+	1.25681i	−0.0834786	+	0.0481964i
$681$	2.23123	+	0.393427i	0.0855011	+	0.0150762i
$682$	3.54014	−	20.0771i	0.135559	−	0.768794i
$683$	21.2410	−	25.3140i	0.812764	−	0.968614i	−0.187142	−	0.982333i	$-0.559923\pi$
$683$	21.2410	−	25.3140i	0.812764	−	0.968614i	0.999906	+	0.0137189i	$0.00436698\pi$
$684$	1.54031	−	4.23198i	0.0588954	−	0.161814i
$685$	−5.57496	+	15.3171i	−0.213008	+	0.585235i
$686$	−12.9332	+	15.4131i	−0.493790	+	0.588476i
$687$	−0.398278	+	2.25875i	−0.0151953	+	0.0861766i
$688$	−3.71206	−	0.654536i	−0.141521	−	0.0249540i
$689$	−28.6222	+	16.5251i	−1.09042	+	0.629554i
$690$	3.71384	+	4.42598i	0.141383	+	0.168494i
$691$	−32.8077	+	11.9410i	−1.24806	+	0.454258i	−0.879747	−	0.475442i	$-0.842288\pi$
$691$	−32.8077	+	11.9410i	−1.24806	+	0.454258i	−0.368317	+	0.929700i	$0.620066\pi$
$692$	1.46490	−	2.53729i	0.0556872	−	0.0964531i
$693$	−17.9503	−	31.0909i	−0.681876	−	1.18104i
$694$	5.40451	+	4.53492i	0.205152	+	0.172143i
$695$	15.5877	+	8.99954i	0.591274	+	0.341372i
$696$	−0.244560	−	1.38697i	−0.00927003	−	0.0525730i
$697$			9.98299i			0.378133i
$698$	−25.2560	+	4.45331i	−0.955954	+	0.168560i
$699$	6.01509	−	5.04726i	0.227512	−	0.190905i
$700$	3.55540	+	1.29406i	0.134381	+	0.0489108i
$701$	9.15308	+	25.1479i	0.345707	+	0.949823i	0.983706	+	0.179785i	$0.0575403\pi$
$701$	9.15308	+	25.1479i	0.345707	+	0.949823i	−0.637999	+	0.770037i	$0.720237\pi$
$702$	−8.40636			−0.317277
$703$	2.68438	−	9.12735i	0.101243	−	0.344245i
$704$	−5.99619			−0.225990
$705$	1.91544	+	5.26263i	0.0721397	+	0.198202i
$706$	−6.16948	−	2.24551i	−0.232191	−	0.0845107i
$707$	−6.53472	+	5.48328i	−0.245763	+	0.206220i
$708$	−1.74436	+	0.307578i	−0.0655572	+	0.0115595i
$709$		−	6.67084i		−	0.250529i	−0.992123	−	0.125264i	$-0.960022\pi$
$709$		−	6.67084i		−	0.250529i	0.992123	−	0.125264i	$-0.0399779\pi$
$710$	4.89828	+	27.7795i	0.183829	+	1.04255i
$711$	−6.35802	−	3.67081i	−0.238444	−	0.137666i
$712$	−12.4586	−	10.4540i	−0.466906	−	0.391781i
$713$	10.8298	+	18.7578i	0.405580	+	0.702485i
$714$	0.347550	−	0.601974i	0.0130067	−	0.0225283i
$715$	−60.5782	+	22.0487i	−2.26550	+	0.824573i
$716$	5.63534	+	6.71594i	0.210603	+	0.250986i
$717$	−5.15738	+	2.97761i	−0.192606	+	0.111201i
$718$	19.5546	+	3.44800i	0.729771	+	0.128678i
$719$	8.26991	−	46.9010i	0.308416	−	1.74911i	−0.298559	−	0.954391i	$-0.596506\pi$
$719$	8.26991	−	46.9010i	0.308416	−	1.74911i	0.606975	−	0.794721i	$-0.292383\pi$
$720$	−4.83333	+	5.76014i	−0.180128	+	0.214668i
$721$	7.68026	−	21.1013i	0.286028	−	0.785855i
$722$	5.66169	−	15.5554i	0.210706	−	0.578910i
$723$	1.26968	−	1.51314i	0.0472198	−	0.0562743i
$724$	4.64617	−	26.3498i	0.172674	−	0.979281i
$725$	−7.26679	−	1.28133i	−0.269882	−	0.0475874i
$726$	−7.50544	+	4.33327i	−0.278553	+	0.160823i
$727$	−32.2308	−	38.4112i	−1.19537	−	1.42459i	−0.879572	−	0.475766i	$-0.842171\pi$
$727$	−32.2308	−	38.4112i	−1.19537	−	1.42459i	−0.315802	−	0.948825i	$-0.602274\pi$
$728$	8.04430	−	2.92789i	0.298142	−	0.108515i
$729$	10.3516	−	17.9296i	0.383394	−	0.664058i
$730$	−4.63913	−	8.03520i	−0.171702	−	0.297396i
$731$	2.77931	+	2.33212i	0.102796	+	0.0862565i
$732$	2.92687	+	1.68983i	0.108180	+	0.0624580i
$733$	4.88298	+	27.6927i	0.180357	+	1.02285i	0.931777	+	0.363031i	$0.118258\pi$
$733$	4.88298	+	27.6927i	0.180357	+	1.02285i	−0.751420	+	0.659824i	$0.770631\pi$
$734$		−	21.5993i		−	0.797244i
$735$	2.39039	−	0.421490i	0.0881708	−	0.0155469i
$736$	4.88011	−	4.09490i	0.179883	−	0.150940i
$737$	59.4657	+	21.6438i	2.19045	+	0.797258i
$738$	10.2139	+	28.0625i	0.375980	+	1.03300i
$739$	32.3511			1.19006			0.595028	−	0.803705i	$-0.297141\pi$
$739$	32.3511			1.19006			0.595028	+	0.803705i	$0.297141\pi$
$740$	−9.42380	+	12.7874i	−0.346426	+	0.470073i
$741$	2.23632			0.0821533
$742$	−5.70921	−	15.6859i	−0.209592	−	0.575848i
$743$	−7.05630	−	2.56828i	−0.258871	−	0.0942212i	0.209325	−	0.977846i	$-0.432873\pi$
$743$	−7.05630	−	2.56828i	−0.258871	−	0.0942212i	−0.468195	+	0.883625i	$0.655096\pi$
$744$	0.904543	−	0.759002i	0.0331622	−	0.0278264i
$745$	8.98851	−	1.58492i	0.329313	−	0.0580668i
$746$		−	31.2808i		−	1.14527i
$747$	−3.45801	−	19.6113i	−0.126522	−	0.717542i
$748$	4.99834	+	2.88579i	0.182757	+	0.105515i
$749$	−32.3441	−	27.1399i	−1.18183	−	0.991672i
$750$	1.44222	+	2.49800i	0.0526624	+	0.0912140i
$751$	−7.37086	+	12.7667i	−0.268966	+	0.465863i	−0.968595	−	0.248643i	$-0.920015\pi$
$751$	−7.37086	+	12.7667i	−0.268966	+	0.465863i	0.699629	+	0.714506i	$0.253349\pi$
$752$	5.80261	−	2.11198i	0.211599	−	0.0770159i
$753$	−5.65884	−	6.74395i	−0.206220	−	0.245763i
$754$	−14.4584	+	8.34759i	−0.526546	+	0.304001i
$755$	24.1966	+	4.26651i	0.880603	+	0.155274i
$756$	0.737275	−	4.18129i	0.0268144	−	0.152072i
$757$	−14.2111	+	16.9361i	−0.516511	+	0.615553i	−0.959752	−	0.280849i	$-0.909384\pi$
$757$	−14.2111	+	16.9361i	−0.516511	+	0.615553i	0.443241	+	0.896402i	$0.353828\pi$
$758$	−6.86090	+	18.8502i	−0.249199	+	0.684669i
$759$	4.53736	−	12.4663i	0.164696	−	0.452498i
$760$	2.62546	−	3.12890i	0.0952353	−	0.113497i
$761$	5.52983	−	31.3612i	0.200456	−	1.13684i	−0.703975	−	0.710225i	$-0.748593\pi$
$761$	5.52983	−	31.3612i	0.200456	−	1.13684i	0.904431	−	0.426619i	$-0.140296\pi$
$762$	2.18248	+	0.384830i	0.0790630	+	0.0139409i
$763$	11.2185	−	6.47698i	0.406135	−	0.234482i
$764$	−1.16832	−	1.39235i	−0.0422682	−	0.0503733i
$765$	6.80119	−	2.47543i	0.245897	−	0.0894993i
$766$	8.24957	−	14.2887i	0.298069	−	0.516271i
$767$	10.4986	+	18.1841i	0.379082	+	0.656589i
$768$	−0.266044	−	0.223238i	−0.00960005	−	0.00805540i
$769$	19.6375	+	11.3377i	0.708148	+	0.408849i	0.810375	−	0.585912i	$-0.199263\pi$
$769$	19.6375	+	11.3377i	0.708148	+	0.408849i	−0.102227	+	0.994761i	$0.532597\pi$
$770$	−5.65395	−	32.0652i	−0.203754	−	1.15555i
$771$			1.79585i			0.0646761i
$772$	−1.04887	+	0.184945i	−0.0377497	+	0.00665630i
$773$	9.05550	−	7.59846i	0.325704	−	0.273298i	−0.465243	−	0.885183i	$-0.654033\pi$
$773$	9.05550	−	7.59846i	0.325704	−	0.273298i	0.790947	+	0.611885i	$0.209589\pi$
$774$	10.1988	+	3.71206i	0.366588	+	0.133427i
$775$	−2.11593	−	5.81348i	−0.0760066	−	0.208826i
$776$	−16.3015			−0.585189
$777$	0.488790	−	4.36539i	0.0175352	−	0.156607i
$778$	−0.826432			−0.0296290
$779$	−5.54818	−	15.2435i	−0.198784	−	0.546155i
$780$	−3.50866	−	1.27705i	−0.125630	−	0.0457256i
$781$	49.6162	−	41.6329i	1.77541	−	1.48974i
$782$	−6.03875	+	1.06479i	−0.215945	+	0.0380770i
$783$			8.28033i			0.295915i
$784$	−0.464737	−	2.63566i	−0.0165978	−	0.0941306i
$785$	5.73241	+	3.30961i	0.204598	+	0.118125i
$786$	−2.78106	−	2.33359i	−0.0991971	−	0.0832362i
$787$	−4.07295	−	7.05455i	−0.145185	−	0.251468i	0.784257	−	0.620436i	$-0.213044\pi$
$787$	−4.07295	−	7.05455i	−0.145185	−	0.251468i	−0.929442	+	0.368969i	$0.879711\pi$
$788$	−7.87833	+	13.6457i	−0.280654	+	0.486107i
$789$	3.15649	−	1.14887i	0.112374	−	0.0409009i
$790$	−4.27995	−	5.10064i	−0.152274	−	0.181473i
$791$	11.0423	−	6.37525i	0.392618	−	0.226678i
$792$	17.0030	+	2.99810i	0.604177	+	0.106533i
$793$	6.95695	−	39.4548i	0.247049	−	1.40108i
$794$	−5.81660	+	6.93196i	−0.206424	+	0.246006i
$795$	−2.49017	+	6.84168i	−0.0883171	+	0.242649i
$796$	−7.05829	+	19.3925i	−0.250175	+	0.687349i
$797$	−16.0737	+	19.1558i	−0.569358	+	0.678535i	−0.971499	−	0.237043i	$-0.923822\pi$
$797$	−16.0737	+	19.1558i	−0.569358	+	0.678535i	0.402141	+	0.915578i	$0.368266\pi$
$798$	−0.196135	+	1.11234i	−0.00694311	+	0.0393763i
$799$	−5.85340	−	1.03211i	−0.207079	−	0.0365135i
$800$	−1.57582	+	0.909799i	−0.0557136	+	0.0321663i
$801$	30.1011	+	35.8731i	1.06357	+	1.26751i
$802$	12.3339	−	4.48916i	0.435524	−	0.158518i
$803$	−10.6520	+	18.4499i	−0.375902	+	0.651081i
$804$	1.83263	+	3.17421i	0.0646320	+	0.111946i
$805$	26.4994	+	22.2357i	0.933982	+	0.783704i
$806$	−12.1222	−	6.99875i	−0.426986	−	0.246521i
$807$	1.43993	+	8.16625i	0.0506880	+	0.287466i
$808$		−	4.10247i		−	0.144325i
$809$	6.92526	−	1.22111i	0.243479	−	0.0429319i	−0.0505767	−	0.998720i	$-0.516106\pi$
$809$	6.92526	−	1.22111i	0.243479	−	0.0429319i	0.294056	+	0.955788i	$0.404995\pi$
$810$	15.8618	−	13.3096i	0.557327	−	0.467653i
$811$	7.62149	+	2.77399i	0.267627	+	0.0974081i	0.472348	−	0.881412i	$-0.343407\pi$
$811$	7.62149	+	2.77399i	0.267627	+	0.0974081i	−0.204721	+	0.978820i	$0.565629\pi$
$812$	−2.88399	−	7.92370i	−0.101208	−	0.278067i
$813$	−6.35860			−0.223006
$814$	36.2469	+	4.05854i	1.27045	+	0.142252i
$815$	−24.4899			−0.857845
$816$	0.114333	+	0.314127i	0.00400246	+	0.0109967i
$817$	−5.53997	−	2.01638i	−0.193819	−	0.0705443i
$818$	6.05236	−	5.07854i	0.211616	−	0.177567i
$819$	−24.2747	+	4.28028i	−0.848227	+	0.149565i
$820$			27.0845i			0.945831i
$821$	−8.00236	−	45.3837i	−0.279284	−	1.58390i	−0.725015	−	0.688733i	$-0.758167\pi$
$821$	−8.00236	−	45.3837i	−0.279284	−	1.58390i	0.445730	−	0.895167i	$-0.352944\pi$
$822$	1.87733	+	1.08388i	0.0654795	+	0.0378046i
$823$	9.04503	+	7.58968i	0.315290	+	0.264560i	0.786674	−	0.617368i	$-0.211801\pi$
$823$	9.04503	+	7.58968i	0.315290	+	0.264560i	−0.471384	+	0.881928i	$0.656246\pi$
$824$	5.39967	+	9.35250i	0.188106	+	0.325810i
$825$	−1.89462	+	3.28157i	−0.0659621	+	0.114250i
$826$	−9.96548	+	3.62714i	−0.346743	+	0.126204i
$827$	18.3297	+	21.8445i	0.637387	+	0.759608i	0.983955	−	0.178417i	$-0.0570975\pi$
$827$	18.3297	+	21.8445i	0.637387	+	0.759608i	−0.346568	+	0.938025i	$0.612653\pi$
$828$	−15.8857	+	9.17162i	−0.552066	+	0.318736i
$829$	0.266399	+	0.0469734i	0.00925242	+	0.00163145i	0.178272	−	0.983981i	$-0.442949\pi$
$829$	0.266399	+	0.0469734i	0.00925242	+	0.00163145i	−0.169020	+	0.985613i	$0.554060\pi$
$830$	3.13621	−	17.7864i	0.108860	−	0.617374i
$831$	−3.95838	+	4.71741i	−0.137315	+	0.163645i
$832$	−1.40808	+	3.86867i	−0.0488164	+	0.134122i
$833$	−0.881066	+	2.42071i	−0.0305271	+	0.0838726i
$834$	1.53865	−	1.83369i	0.0532789	−	0.0634954i
$835$	−4.72629	+	26.8041i	−0.163560	+	0.927595i
$836$	−9.23602	−	1.62856i	−0.319435	−	0.0563249i
$837$	−6.01226	+	3.47118i	−0.207814	+	0.119982i
$838$	−20.5569	−	24.4987i	−0.710126	−	0.846295i
$839$	−21.9497	+	7.98904i	−0.757788	+	0.275812i	−0.691879	−	0.722013i	$-0.743217\pi$
$839$	−21.9497	+	7.98904i	−0.757788	+	0.275812i	−0.0659091	+	0.997826i	$0.520995\pi$
$840$	0.942924	−	1.63319i	0.0325340	−	0.0563505i
$841$	−6.27756	−	10.8731i	−0.216468	−	0.374933i
$842$	4.29957	+	3.60776i	0.148173	+	0.124332i
$843$	−4.58622	−	2.64786i	−0.157958	−	0.0911970i
$844$	−1.07686	−	6.10718i	−0.0370671	−	0.210218i
$845$			10.3133i			0.354788i
$846$	−17.5101	+	3.08750i	−0.602010	+	0.106151i
$847$	−39.7490	+	33.3534i	−1.36579	+	1.14604i
$848$	7.54368	+	2.74567i	0.259051	+	0.0942868i
$849$	2.90461	+	7.98034i	0.0996858	+	0.273885i
$850$	1.75144			0.0600739
$851$	−32.2719	+	21.4505i	−1.10627	+	0.735314i
$852$	3.75141			0.128521
$853$	−6.83552	−	18.7804i	−0.234044	−	0.643030i	−1.00000		0.000137243i	$-0.999956\pi$
$853$	−6.83552	−	18.7804i	−0.234044	−	0.643030i	0.765956	−	0.642893i	$-0.222266\pi$
$854$	19.0145	+	6.92073i	0.650664	+	0.236822i
$855$	−9.00930	+	7.55970i	−0.308112	+	0.258536i
$856$	19.9970	−	3.52602i	0.683485	−	0.120517i
$857$		−	16.1108i		−	0.550334i	−0.961396	−	0.275167i	$-0.911267\pi$
$857$		−	16.1108i		−	0.550334i	0.961396	−	0.275167i	$-0.0887331\pi$
$858$	1.48875	+	8.44311i	0.0508251	+	0.288243i
$859$	−2.89285	−	1.67019i	−0.0987029	−	0.0569861i	0.449836	−	0.893111i	$-0.351482\pi$
$859$	−2.89285	−	1.67019i	−0.0987029	−	0.0569861i	−0.548539	+	0.836125i	$0.684816\pi$
$860$	7.54044	+	6.32718i	0.257127	+	0.215755i
$861$	−3.74488	−	6.48633i	−0.127625	−	0.221054i
$862$	−9.97606	+	17.2790i	−0.339786	+	0.588526i
$863$	−36.4573	+	13.2694i	−1.24102	+	0.451695i	−0.877359	−	0.479835i	$-0.840697\pi$
$863$	−36.4573	+	13.2694i	−1.24102	+	0.451695i	−0.363664	+	0.931530i	$0.618474\pi$
$864$	1.31250	+	1.56418i	0.0446522	+	0.0532144i
$865$	−6.62596	+	3.82550i	−0.225289	+	0.130071i
$866$	−15.5806	−	2.74727i	−0.529449	−	0.0933562i
$867$	−0.969351	+	5.49747i	−0.0329209	+	0.186704i
$868$	4.54433	−	5.41572i	0.154244	−	0.183821i
$869$	−5.22900	+	14.3666i	−0.177382	+	0.487352i
$870$	−1.25790	+	3.45606i	−0.0426469	+	0.117171i
$871$	27.9286	−	33.2840i	0.946323	−	1.12778i
$872$	−1.08180	+	6.13517i	−0.0366343	+	0.207763i
$873$	46.2252	+	8.15074i	1.56448	+	0.275861i
$874$	8.62909	−	4.98200i	0.291883	−	0.168519i
$875$	11.1008	+	13.2295i	0.375277	+	0.447238i
$876$	−1.15951	+	0.422026i	−0.0391761	+	0.0142589i
$877$	1.42022	−	2.45989i	0.0479573	−	0.0830644i	−0.841050	−	0.540957i	$-0.818062\pi$
$877$	1.42022	−	2.45989i	0.0479573	−	0.0830644i	0.889008	+	0.457892i	$0.151396\pi$
$878$	−1.53164	−	2.65288i	−0.0516903	−	0.0895302i
$879$	−3.34485	−	2.80666i	−0.112819	−	0.0946663i
$880$	13.5608	+	7.82933i	0.457135	+	0.263927i
$881$	−8.77517	−	49.7665i	−0.295643	−	1.67668i	−0.664577	−	0.747220i	$-0.731388\pi$
$881$	−8.77517	−	49.7665i	−0.295643	−	1.67668i	0.368934	−	0.929456i	$-0.379723\pi$
$882$			7.70614i			0.259479i
$883$	28.2429	−	4.97998i	0.950448	−	0.167590i	0.323132	−	0.946354i	$-0.395264\pi$
$883$	28.2429	−	4.97998i	0.950448	−	0.167590i	0.627317	+	0.778764i	$0.284153\pi$
$884$	3.03563	−	2.54720i	0.102099	−	0.0856715i
$885$	4.34661	+	1.58204i	0.146110	+	0.0531796i
$886$	0.943712	+	2.59283i	0.0317046	+	0.0871077i
$887$	−14.6784			−0.492851			−0.246425	−	0.969162i	$-0.579256\pi$
$887$	−14.6784			−0.492851			−0.246425	+	0.969162i	$0.579256\pi$
$888$	1.45714	+	1.52954i	0.0488983	+	0.0513281i
$889$	13.2686			0.445015
$890$	14.5260	+	39.9099i	0.486913	+	1.33778i
$891$	−44.6766	−	16.2610i	−1.49672	−	0.544763i
$892$	−0.642826	+	0.539395i	−0.0215234	+	0.0180603i
$893$	9.51145	−	1.67713i	0.318289	−	0.0561229i
$894$		−	1.21383i		−	0.0405965i
$895$	−3.97560	−	22.5467i	−0.132889	−	0.753654i
$896$	−1.80077	−	1.03967i	−0.0601594	−	0.0347331i
$897$	−6.97760	−	5.85490i	−0.232975	−	0.195489i
$898$	11.3281	+	19.6209i	0.378024	+	0.654757i
$899$	−6.89383	+	11.9405i	−0.229922	+	0.398237i
$900$	4.92335	−	1.79195i	0.164112	−	0.0597318i
$901$	−4.96689	−	5.91931i	−0.165471	−	0.197201i
$902$	53.8576	−	31.0947i	1.79326	−	1.03534i
$903$	−2.68066	−	0.472673i	−0.0892068	−	0.0157296i
$904$	−1.06481	+	6.03882i	−0.0354149	+	0.200848i
$905$	−44.9130	+	53.5252i	−1.49296	+	1.77924i
$906$	1.11757	−	3.07050i	0.0371288	−	0.102010i
$907$	15.3162	−	42.0808i	0.508565	−	1.39727i	−0.374152	−	0.927367i	$-0.622066\pi$
$907$	15.3162	−	42.0808i	0.508565	−	1.39727i	0.882717	−	0.469904i	$-0.155711\pi$
$908$	−4.19335	+	4.99744i	−0.139161	+	0.165846i
$909$	−2.05124	+	11.6331i	−0.0680352	+	0.385847i
$910$	−22.0157	−	3.88197i	−0.729815	−	0.128686i
$911$	5.76500	−	3.32842i	0.191003	−	0.110276i	−0.401449	−	0.915881i	$-0.631493\pi$
$911$	5.76500	−	3.32842i	0.191003	−	0.110276i	0.592452	+	0.805606i	$0.298160\pi$
$912$	−0.349161	−	0.416114i	−0.0115619	−	0.0137789i
$913$	−38.9688	+	14.1835i	−1.28968	+	0.469405i
$914$	−14.7512	+	25.5499i	−0.487927	+	0.845114i
$915$	−4.41289	−	7.64334i	−0.145886	−	0.252681i
$916$	−5.05906	−	4.24506i	−0.167156	−	0.140261i
$917$	−18.8241	−	10.8681i	−0.621626	−	0.358896i
$918$	−0.341289	−	1.93554i	−0.0112642	−	0.0638825i
$919$			44.6670i			1.47343i	0.676203	+	0.736715i	$0.263624\pi$
$919$			44.6670i			1.47343i	−0.676203	+	0.736715i	$0.736376\pi$
$920$	−16.3835	+	2.88885i	−0.540148	+	0.0952427i
$921$	−2.50137	+	2.09889i	−0.0824228	+	0.0691609i
$922$	−3.82897	−	1.39363i	−0.126100	−	0.0458968i
$923$	−15.2097	−	41.7884i	−0.500634	−	1.37548i
$924$	−4.33015			−0.142451
$925$	10.1416	−	4.43313i	0.333454	−	0.145760i
$926$	2.94242			0.0966941
$927$	−10.6353	−	29.2202i	−0.349308	−	0.959717i
$928$	3.81067	+	1.38697i	0.125091	+	0.0455295i
$929$	1.25524	−	1.05327i	0.0411831	−	0.0345567i	−0.621964	−	0.783046i	$-0.713665\pi$
$929$	1.25524	−	1.05327i	0.0411831	−	0.0345567i	0.663147	+	0.748489i	$0.269220\pi$
$930$	−3.03673	+	0.535457i	−0.0995783	+	0.0175583i
$931$		−	4.18596i		−	0.137189i
$932$	3.92607	+	22.2659i	0.128603	+	0.729342i
$933$	−4.84279	−	2.79599i	−0.158546	−	0.0915365i
$934$	−4.06190	−	3.40834i	−0.132909	−	0.111524i
$935$	−7.53606	−	13.0528i	−0.246456	−	0.426874i
$936$	5.92714	−	10.2661i	0.193735	−	0.335558i
$937$	36.9995	−	13.4667i	1.20872	−	0.439938i	0.342461	−	0.939532i	$-0.388740\pi$
$937$	36.9995	−	13.4667i	1.20872	−	0.439938i	0.866260	+	0.499594i	$0.166517\pi$
$938$	14.1059	+	16.8107i	0.460573	+	0.548890i
$939$	0.173230	−	0.100014i	0.00565315	−	0.00326385i
$940$	−15.8806	−	2.80019i	−0.517970	−	0.0913320i
$941$	−5.32651	+	30.2081i	−0.173639	+	0.984757i	0.766064	+	0.642765i	$0.222213\pi$
$941$	−5.32651	+	30.2081i	−0.173639	+	0.984757i	−0.939703	+	0.341992i	$0.888898\pi$
$942$	0.565842	−	0.674344i	0.0184361	−	0.0219713i
$943$	−22.5979	+	62.0873i	−0.735890	+	2.02184i
$944$	1.74436	−	4.79260i	0.0567742	−	0.155986i
$945$	−7.12699	+	8.49361i	−0.231841	+	0.276297i
$946$	3.92472	−	22.2582i	0.127604	−	0.723677i
$947$	−21.6531	−	3.81803i	−0.703632	−	0.124069i	−0.189626	−	0.981856i	$-0.560728\pi$
$947$	−21.6531	−	3.81803i	−0.703632	−	0.124069i	−0.514005	+	0.857787i	$0.671839\pi$
$948$	−0.766871	+	0.442753i	−0.0249068	+	0.0143800i
$949$	9.40221	+	11.2051i	0.305209	+	0.363734i
$950$	−2.67436	+	0.973386i	−0.0867676	+	0.0315808i
$951$	2.04083	−	3.53482i	0.0661784	−	0.114624i
$952$	1.00073	+	1.73331i	0.0324338	+	0.0561770i
$953$	10.5688	+	8.86830i	0.342358	+	0.287272i	0.797713	−	0.603038i	$-0.206043\pi$
$953$	10.5688	+	8.86830i	0.342358	+	0.287272i	−0.455355	+	0.890310i	$0.650488\pi$
$954$	−20.0183	−	11.5576i	−0.648117	−	0.374191i
$955$	0.824219	+	4.67438i	0.0266711	+	0.151259i
$956$		−	17.1474i		−	0.554586i
$957$	8.31654	−	1.46643i	0.268835	−	0.0474029i
$958$	−13.6867	+	11.4845i	−0.442198	+	0.371048i
$959$	12.1962	+	4.43904i	0.393835	+	0.143344i
$960$	0.310193	+	0.852247i	0.0100114	+	0.0275062i
$961$	19.4402			0.627103
$962$	11.1303	−	22.4330i	0.358857	−	0.723268i
$963$	−58.4674			−1.88409
$964$	1.94526	+	5.34455i	0.0626525	+	0.172136i
$965$	2.61358	+	0.951267i	0.0841342	+	0.0306224i
$966$	3.52417	−	2.95713i	0.113388	−	0.0951442i
$967$	−42.1185	+	7.42663i	−1.35444	+	0.238824i	−0.803293	−	0.595584i	$-0.796921\pi$
$967$	−42.1185	+	7.42663i	−1.35444	+	0.238824i	−0.551147	+	0.834408i	$0.685810\pi$
$968$		−	24.9543i		−	0.802062i
$969$	0.0907921	+	0.514908i	0.00291666	+	0.0165412i
$970$	36.8670	+	21.2851i	1.18373	+	0.683425i
$971$	42.7120	+	35.8396i	1.37069	+	1.15015i	0.972515	+	0.232840i	$0.0748018\pi$
$971$	42.7120	+	35.8396i	1.37069	+	1.15015i	0.398178	+	0.917308i	$0.369643\pi$
$972$	−4.43969	−	7.68977i	−0.142403	−	0.246650i
$973$	7.16585	−	12.4116i	0.229727	−	0.397898i
$974$	29.4088	−	10.7039i	0.942320	−	0.342976i
$975$	1.67232	+	1.99299i	0.0535570	+	0.0638268i
$976$	−8.42760	+	4.86567i	−0.269761	+	0.155746i
$977$	−18.0002	−	3.17393i	−0.575878	−	0.101543i	−0.121879	−	0.992545i	$-0.538892\pi$
$977$	−18.0002	−	3.17393i	−0.575878	−	0.101543i	−0.453999	+	0.891002i	$0.650003\pi$
$978$	−0.565560	+	3.20745i	−0.0180846	+	0.102563i
$979$	62.6842	−	74.7042i	2.00340	−	2.38756i
$980$	−2.39039	+	6.56754i	−0.0763581	+	0.209792i
$981$	6.13517	−	16.8563i	0.195881	−	0.538179i
$982$	8.65064	−	10.3094i	0.276053	−	0.328987i
$983$	−4.37560	+	24.8153i	−0.139560	+	0.791485i	0.832015	+	0.554753i	$0.187187\pi$
$983$	−4.37560	+	24.8153i	−0.139560	+	0.791485i	−0.971575	+	0.236731i	$0.923924\pi$
$984$	3.54726	+	0.625477i	0.113082	+	0.0199395i
$985$	35.6348	−	20.5738i	1.13542	−	0.655534i
$986$	−2.50901	−	2.99012i	−0.0799032	−	0.0952249i
$987$	4.19035	−	1.52516i	0.133380	−	0.0485465i
$988$	−3.21961	+	5.57653i	−0.102430	+	0.177413i
$989$	12.0063	+	20.7955i	0.381778	+	0.661259i
$990$	−34.5389	−	28.9816i	−1.09772	−	0.921095i
$991$	−25.7428	−	14.8626i	−0.817748	−	0.472127i	0.0318914	−	0.999491i	$-0.489847\pi$
$991$	−25.7428	−	14.8626i	−0.817748	−	0.472127i	−0.849639	+	0.527364i	$0.823180\pi$
$992$	0.590399	+	3.34832i	0.0187452	+	0.106309i
$993$			4.90989i			0.155811i
$994$	22.1194	−	3.90024i	0.701584	−	0.123708i
$995$	41.2840	−	34.6414i	1.30879	−	1.09820i
$996$	−2.25706	−	0.821501i	−0.0715175	−	0.0260303i
$997$	−3.03661	−	8.34301i	−0.0961703	−	0.264226i	0.882274	−	0.470736i	$-0.156012\pi$
$997$	−3.03661	−	8.34301i	−0.0961703	−	0.264226i	−0.978444	+	0.206510i	$0.933789\pi$
$998$	−36.7694			−1.16392
$999$	−6.87533	−	10.3438i	−0.217526	−	0.327264i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	74.2.h.a.67.1	yes	12
3.2	odd	2		666.2.bj.c.289.2		12
4.3	odd	2		592.2.bq.b.289.2		12
37.13	odd	36		2738.2.a.s.1.4		6
37.21	even	18	inner	74.2.h.a.21.1	✓	12
37.24	odd	36		2738.2.a.r.1.3		6
111.95	odd	18		666.2.bj.c.613.2		12
148.95	odd	18		592.2.bq.b.465.2		12

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
74.2.h.a.21.1	✓	12	37.21	even	18	inner
74.2.h.a.67.1	yes	12	1.1	even	1	trivial
592.2.bq.b.289.2		12	4.3	odd	2
592.2.bq.b.465.2		12	148.95	odd	18
666.2.bj.c.289.2		12	3.2	odd	2
666.2.bj.c.613.2		12	111.95	odd	18
2738.2.a.r.1.3		6	37.24	odd	36
2738.2.a.s.1.4		6	37.13	odd	36

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:	\( N \)	\(=\)	\( 74 = 2 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	74.h (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.342020 - 0.939693i) q^{2} +(0.326352 + 0.118782i) q^{3} +(-0.766044 + 0.642788i) q^{4} +(2.57176 - 0.453471i) q^{5} -0.347296i q^{6} +(-0.361075 - 2.04776i) q^{7} +(0.866025 + 0.500000i) q^{8} +(-2.20574 - 1.85083i) q^{9} +O(q^{10})\)	\(q+(-0.342020 - 0.939693i) q^{2} +(0.326352 + 0.118782i) q^{3} +(-0.766044 + 0.642788i) q^{4} +(2.57176 - 0.453471i) q^{5} -0.347296i q^{6} +(-0.361075 - 2.04776i) q^{7} +(0.866025 + 0.500000i) q^{8} +(-2.20574 - 1.85083i) q^{9} +(-1.30572 - 2.26157i) q^{10} +(-2.99810 + 5.19285i) q^{11} +(-0.326352 + 0.118782i) q^{12} +(2.64632 + 3.15377i) q^{13} +(-1.80077 + 1.03967i) q^{14} +(0.893164 + 0.157489i) q^{15} +(0.173648 - 0.984808i) q^{16} +(-0.618710 + 0.737350i) q^{17} +(-0.984808 + 2.70574i) q^{18} +(0.534946 - 1.46975i) q^{19} +(-1.67860 + 2.00048i) q^{20} +(0.125400 - 0.711179i) q^{21} +(5.90509 + 1.04123i) q^{22} +(-5.51705 + 3.18527i) q^{23} +(0.223238 + 0.266044i) q^{24} +(1.70986 - 0.622339i) q^{25} +(2.05847 - 3.56538i) q^{26} +(-1.02094 - 1.76833i) q^{27} +(1.59287 + 1.33658i) q^{28} +(-3.51193 - 2.02761i) q^{29} +(-0.157489 - 0.893164i) q^{30} -3.39997i q^{31} +(-0.984808 + 0.173648i) q^{32} +(-1.59525 + 1.33858i) q^{33} +(0.904494 + 0.329209i) q^{34} +(-1.85720 - 5.10261i) q^{35} +2.87939 q^{36} +(6.07068 - 0.383130i) q^{37} -1.56408 q^{38} +(0.489021 + 1.34357i) q^{39} +(2.45395 + 0.893164i) q^{40} +(7.94502 - 6.66666i) q^{41} +(-0.711179 + 0.125400i) q^{42} -3.76932i q^{43} +(-1.04123 - 5.90509i) q^{44} +(-6.51193 - 3.75967i) q^{45} +(4.88011 + 4.09490i) q^{46} +(3.08750 + 5.34771i) q^{47} +(0.173648 - 0.300767i) q^{48} +(2.51491 - 0.915354i) q^{49} +(-1.16962 - 1.39389i) q^{50} +(-0.289501 + 0.167144i) q^{51} +(-4.05440 - 0.714901i) q^{52} +(-1.39401 + 7.90585i) q^{53} +(-1.31250 + 1.56418i) q^{54} +(-5.35558 + 14.7143i) q^{55} +(0.711179 - 1.95395i) q^{56} +(0.349161 - 0.416114i) q^{57} +(-0.704183 + 3.99362i) q^{58} +(5.02269 + 0.885636i) q^{59} +(-0.785435 + 0.453471i) q^{60} +(-6.25519 - 7.45465i) q^{61} +(-3.19493 + 1.16286i) q^{62} +(-2.99362 + 5.18510i) q^{63} +(0.500000 + 0.866025i) q^{64} +(8.23586 + 6.91071i) q^{65} +(1.80346 + 1.04123i) q^{66} +(-1.83263 - 10.3934i) q^{67} -0.962542i q^{68} +(-2.17885 + 0.384190i) q^{69} +(-4.15968 + 3.49039i) q^{70} +(-10.1503 - 3.69442i) q^{71} +(-0.984808 - 2.70574i) q^{72} +3.55293 q^{73} +(-2.43632 - 5.57354i) q^{74} +0.631940 q^{75} +(0.534946 + 1.46975i) q^{76} +(11.7162 + 4.26436i) q^{77} +(1.09529 - 0.919059i) q^{78} +(2.51098 - 0.442753i) q^{79} -2.61144i q^{80} +(1.37686 + 7.80856i) q^{81} +(-8.98197 - 5.18574i) q^{82} +(5.29798 + 4.44553i) q^{83} +(0.361075 + 0.625400i) q^{84} +(-1.25681 + 2.17686i) q^{85} +(-3.54200 + 1.28918i) q^{86} +(-0.905280 - 1.07887i) q^{87} +(-5.19285 + 2.99810i) q^{88} +(-16.0165 - 2.82414i) q^{89} +(-1.30572 + 7.40509i) q^{90} +(5.50263 - 6.55778i) q^{91} +(2.17885 - 5.98635i) q^{92} +(0.403856 - 1.10959i) q^{93} +(3.96922 - 4.73033i) q^{94} +(0.709264 - 4.02243i) q^{95} +(-0.342020 - 0.0603074i) q^{96} +(-14.1175 + 8.15074i) q^{97} +(-1.72030 - 2.05018i) q^{98} +(16.2241 - 5.90509i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 12 q + 6 q^{3} - 12 q^{7} - 6 q^{9}+O(q^{10}) \) 12 * q + 6 * q^3 - 12 * q^7 - 6 * q^9	\( 12 q + 6 q^{3} - 12 q^{7} - 6 q^{9} + 6 q^{10} - 6 q^{11} - 6 q^{12} + 6 q^{13} - 18 q^{14} - 18 q^{19} - 6 q^{21} - 18 q^{25} + 12 q^{26} - 6 q^{27} - 6 q^{28} + 18 q^{29} + 24 q^{30} - 6 q^{33} + 12 q^{34} + 18 q^{35} + 12 q^{36} + 30 q^{37} - 24 q^{38} + 30 q^{39} + 12 q^{40} + 24 q^{41} + 6 q^{44} - 18 q^{45} + 30 q^{46} + 6 q^{47} + 12 q^{49} - 36 q^{50} - 12 q^{52} - 12 q^{53} - 18 q^{55} - 36 q^{57} + 6 q^{58} - 36 q^{61} - 6 q^{63} + 6 q^{64} + 36 q^{65} - 30 q^{67} - 18 q^{69} - 12 q^{70} + 12 q^{71} - 48 q^{74} - 36 q^{75} - 18 q^{76} + 12 q^{77} - 6 q^{78} + 6 q^{79} + 24 q^{81} - 48 q^{83} + 12 q^{84} + 18 q^{85} - 36 q^{86} + 36 q^{87} - 36 q^{88} - 18 q^{89} + 6 q^{90} - 6 q^{91} + 18 q^{92} - 12 q^{93} + 36 q^{97} + 36 q^{98} + 30 q^{99}+O(q^{100}) \) 12 * q + 6 * q^3 - 12 * q^7 - 6 * q^9 + 6 * q^10 - 6 * q^11 - 6 * q^12 + 6 * q^13 - 18 * q^14 - 18 * q^19 - 6 * q^21 - 18 * q^25 + 12 * q^26 - 6 * q^27 - 6 * q^28 + 18 * q^29 + 24 * q^30 - 6 * q^33 + 12 * q^34 + 18 * q^35 + 12 * q^36 + 30 * q^37 - 24 * q^38 + 30 * q^39 + 12 * q^40 + 24 * q^41 + 6 * q^44 - 18 * q^45 + 30 * q^46 + 6 * q^47 + 12 * q^49 - 36 * q^50 - 12 * q^52 - 12 * q^53 - 18 * q^55 - 36 * q^57 + 6 * q^58 - 36 * q^61 - 6 * q^63 + 6 * q^64 + 36 * q^65 - 30 * q^67 - 18 * q^69 - 12 * q^70 + 12 * q^71 - 48 * q^74 - 36 * q^75 - 18 * q^76 + 12 * q^77 - 6 * q^78 + 6 * q^79 + 24 * q^81 - 48 * q^83 + 12 * q^84 + 18 * q^85 - 36 * q^86 + 36 * q^87 - 36 * q^88 - 18 * q^89 + 6 * q^90 - 6 * q^91 + 18 * q^92 - 12 * q^93 + 36 * q^97 + 36 * q^98 + 30 * q^99

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