LMFDB - Embedded newform 197.4.e.a.6.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [197,4,Mod(6,197)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(197, base_ring=CyclotomicField(14))

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

N = Newforms(chi, 4, names="a")

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

chi := DirichletCharacter("197.6");

S:= CuspForms(chi, 4);

N := Newforms(S);

Level:	$ N $	$=$	$ 197 $
Weight:	$ k $	$=$	$ 4 $
Character orbit:	$[\chi]$	$=$	197.e (of order $14$, 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:	$11.6233762711$
Analytic rank:	$0$
Dimension:	$288$
Relative dimension:	$48$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			6.3
Character	$\chi$	$=$	197.6
Dual form			197.4.e.a.33.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-4.98986 + 1.13890i) q^{2} +(5.41261 + 1.23539i) q^{3} +(16.3939 - 7.89487i) q^{4} +(-8.43757 + 17.5208i) q^{5} -28.4152 q^{6} +(-6.51769 + 28.5559i) q^{7} +(-40.7992 + 32.5362i) q^{8} +(3.44396 + 1.65853i) q^{9} +O(q^{10})$	\(q+(-4.98986 + 1.13890i) q^{2} +(5.41261 + 1.23539i) q^{3} +(16.3939 - 7.89487i) q^{4} +(-8.43757 + 17.5208i) q^{5} -28.4152 q^{6} +(-6.51769 + 28.5559i) q^{7} +(-40.7992 + 32.5362i) q^{8} +(3.44396 + 1.65853i) q^{9} +(22.1478 - 97.0359i) q^{10} +(-13.7841 + 3.14613i) q^{11} +(98.4868 - 22.4790i) q^{12} +(-37.6611 - 30.0337i) q^{13} -149.913i q^{14} +(-67.3143 + 84.4094i) q^{15} +(75.7673 - 95.0092i) q^{16} +(-6.71202 + 13.9376i) q^{17} +(-19.0738 - 4.35347i) q^{18} +102.106 q^{19} +353.847i q^{20} +(-70.5554 + 146.510i) q^{21} +(65.1976 - 31.3975i) q^{22} +(-0.195533 - 0.856684i) q^{23} +(-261.025 + 125.703i) q^{24} +(-157.849 - 197.937i) q^{25} +(222.129 + 106.972i) q^{26} +(-100.604 - 80.2287i) q^{27} +(118.595 + 519.597i) q^{28} +(37.5596 + 164.559i) q^{29} +(239.755 - 497.856i) q^{30} +(323.958 - 73.9412i) q^{31} +(-88.7273 + 184.244i) q^{32} -78.4947 q^{33} +(17.6184 - 77.1913i) q^{34} +(-445.328 - 355.137i) q^{35} +69.5537 q^{36} +(-91.9794 - 115.339i) q^{37} +(-509.495 + 116.289i) q^{38} +(-166.741 - 209.087i) q^{39} +(-225.815 - 989.360i) q^{40} +(183.728 + 88.4787i) q^{41} +(185.201 - 811.419i) q^{42} +(-62.7192 - 274.791i) q^{43} +(-201.136 + 160.401i) q^{44} +(-58.1174 + 46.3470i) q^{45} +(1.95136 + 4.05204i) q^{46} +(-68.3567 - 85.7166i) q^{47} +(527.472 - 420.645i) q^{48} +(-463.925 - 223.415i) q^{49} +(1013.08 + 807.902i) q^{50} +(-53.5480 + 67.1470i) q^{51} +(-854.523 - 195.039i) q^{52} +(-506.443 + 243.890i) q^{53} +(593.371 + 285.752i) q^{54} +(61.1816 - 268.054i) q^{55} +(-663.185 - 1377.12i) q^{56} +(552.660 + 126.141i) q^{57} +(-374.834 - 778.352i) q^{58} +(162.756 + 713.079i) q^{59} +(-437.140 + 1915.23i) q^{60} +(-74.6854 - 327.218i) q^{61} +(-1532.29 + 737.913i) q^{62} +(-69.8073 + 87.5356i) q^{63} +(16.5726 - 72.6091i) q^{64} +(843.983 - 406.441i) q^{65} +(391.677 - 89.3978i) q^{66} +(-153.486 + 122.401i) q^{67} +281.482i q^{68} -4.87846i q^{69} +(2626.59 + 1264.90i) q^{70} +(198.649 - 412.498i) q^{71} +(-194.473 + 44.3872i) q^{72} +(-572.814 + 456.804i) q^{73} +(590.324 + 470.768i) q^{74} +(-609.847 - 1266.36i) q^{75} +(1673.91 - 806.114i) q^{76} -414.123i q^{77} +(1070.15 + 853.413i) q^{78} +(390.390 + 810.653i) q^{79} +(1025.34 + 2129.15i) q^{80} +(-509.763 - 639.222i) q^{81} +(-1017.55 - 232.248i) q^{82} -1307.56 q^{83} +2958.89i q^{84} +(-187.566 - 235.200i) q^{85} +(625.921 + 1299.74i) q^{86} +937.096i q^{87} +(460.017 - 576.843i) q^{88} +(-1382.17 - 315.472i) q^{89} +(237.213 - 297.455i) q^{90} +(1103.10 - 879.695i) q^{91} +(-9.96895 - 12.5007i) q^{92} +1844.80 q^{93} +(438.713 + 349.862i) q^{94} +(-861.526 + 1788.98i) q^{95} +(-707.860 + 887.628i) q^{96} +(-561.127 - 270.224i) q^{97} +(2569.37 + 586.442i) q^{98} +(-52.6899 - 12.0261i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 288 q - 7 q^{2} - 7 q^{3} + 159 q^{4} - 7 q^{5} + 26 q^{6} - 53 q^{7} + 49 q^{8} + 391 q^{9}+O(q^{10}) $ 288 * q - 7 * q^2 - 7 * q^3 + 159 * q^4 - 7 * q^5 + 26 * q^6 - 53 * q^7 + 49 * q^8 + 391 * q^9	\( 288 q - 7 q^{2} - 7 q^{3} + 159 q^{4} - 7 q^{5} + 26 q^{6} - 53 q^{7} + 49 q^{8} + 391 q^{9} + 149 q^{10} + 91 q^{11} - 63 q^{12} - 7 q^{13} - 473 q^{15} - 1113 q^{16} - 7 q^{17} - 196 q^{18} + 464 q^{19} - 7 q^{21} + 807 q^{22} + 413 q^{23} - 1425 q^{24} + 1195 q^{25} - 543 q^{26} + 455 q^{27} + 174 q^{28} - 906 q^{29} + 798 q^{30} + 917 q^{31} + 945 q^{32} + 894 q^{33} - 219 q^{34} - 7 q^{35} + 3250 q^{36} + 1734 q^{37} - 63 q^{38} - 825 q^{39} + 141 q^{40} + 563 q^{41} + 432 q^{42} - 423 q^{43} + 2149 q^{44} - 3808 q^{45} - 2569 q^{46} - 289 q^{47} - 3703 q^{48} - 3747 q^{49} - 4963 q^{50} - 87 q^{51} + 3654 q^{52} - 1573 q^{53} - 1228 q^{54} + 2825 q^{55} + 98 q^{56} - 518 q^{57} - 5103 q^{58} + 2045 q^{59} + 3375 q^{60} + 287 q^{61} - 2547 q^{62} + 1453 q^{63} + 6475 q^{64} + 1268 q^{65} + 4634 q^{66} - 3577 q^{67} - 814 q^{70} - 273 q^{71} - 1008 q^{72} - 679 q^{73} - 315 q^{74} - 1281 q^{75} + 6078 q^{76} + 4739 q^{78} + 1463 q^{79} + 441 q^{80} - 4427 q^{81} - 7 q^{82} + 4900 q^{83} - 3351 q^{85} + 3472 q^{86} + 3738 q^{88} + 147 q^{89} + 7133 q^{90} - 14133 q^{91} - 803 q^{92} - 4894 q^{93} - 7833 q^{94} - 7700 q^{95} - 16450 q^{96} + 1233 q^{97} - 2030 q^{98} + 2464 q^{99}+O(q^{100}) \) 288 * q - 7 * q^2 - 7 * q^3 + 159 * q^4 - 7 * q^5 + 26 * q^6 - 53 * q^7 + 49 * q^8 + 391 * q^9 + 149 * q^10 + 91 * q^11 - 63 * q^12 - 7 * q^13 - 473 * q^15 - 1113 * q^16 - 7 * q^17 - 196 * q^18 + 464 * q^19 - 7 * q^21 + 807 * q^22 + 413 * q^23 - 1425 * q^24 + 1195 * q^25 - 543 * q^26 + 455 * q^27 + 174 * q^28 - 906 * q^29 + 798 * q^30 + 917 * q^31 + 945 * q^32 + 894 * q^33 - 219 * q^34 - 7 * q^35 + 3250 * q^36 + 1734 * q^37 - 63 * q^38 - 825 * q^39 + 141 * q^40 + 563 * q^41 + 432 * q^42 - 423 * q^43 + 2149 * q^44 - 3808 * q^45 - 2569 * q^46 - 289 * q^47 - 3703 * q^48 - 3747 * q^49 - 4963 * q^50 - 87 * q^51 + 3654 * q^52 - 1573 * q^53 - 1228 * q^54 + 2825 * q^55 + 98 * q^56 - 518 * q^57 - 5103 * q^58 + 2045 * q^59 + 3375 * q^60 + 287 * q^61 - 2547 * q^62 + 1453 * q^63 + 6475 * q^64 + 1268 * q^65 + 4634 * q^66 - 3577 * q^67 - 814 * q^70 - 273 * q^71 - 1008 * q^72 - 679 * q^73 - 315 * q^74 - 1281 * q^75 + 6078 * q^76 + 4739 * q^78 + 1463 * q^79 + 441 * q^80 - 4427 * q^81 - 7 * q^82 + 4900 * q^83 - 3351 * q^85 + 3472 * q^86 + 3738 * q^88 + 147 * q^89 + 7133 * q^90 - 14133 * q^91 - 803 * q^92 - 4894 * q^93 - 7833 * q^94 - 7700 * q^95 - 16450 * q^96 + 1233 * q^97 - 2030 * q^98 + 2464 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/197\mathbb{Z}\right)^\times$.

$n$	$2$
$\chi(n)$	$e\left(\frac{13}{14}\right)$

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 $

$2$	−4.98986	+	1.13890i	−1.76418	+	0.402663i	−0.976860	−	0.213879i	$-0.931390\pi$
$2$	−4.98986	+	1.13890i	−1.76418	+	0.402663i	−0.787322	+	0.616542i	$0.788533\pi$
$3$	5.41261	+	1.23539i	1.04166	+	0.237751i	0.708935	−	0.705274i	$-0.249176\pi$
$3$	5.41261	+	1.23539i	1.04166	+	0.237751i	0.332722	+	0.943025i	$0.392033\pi$
$4$	16.3939	−	7.89487i	2.04923	−	0.986859i
$5$	−8.43757	+	17.5208i	−0.754679	+	1.56711i	0.0673949	+	0.997726i	$0.478531\pi$
$5$	−8.43757	+	17.5208i	−0.754679	+	1.56711i	−0.822074	+	0.569381i	$0.807183\pi$
$6$	−28.4152			−1.93341
$7$	−6.51769	+	28.5559i	−0.351922	+	1.54187i	0.420815	+	0.907146i	$0.361744\pi$
$7$	−6.51769	+	28.5559i	−0.351922	+	1.54187i	−0.772737	+	0.634726i	$0.781113\pi$
$8$	−40.7992	+	32.5362i	−1.80309	+	1.43791i
$9$	3.44396	+	1.65853i	0.127554	+	0.0614269i
$10$	22.1478	−	97.0359i	0.700375	−	3.06854i
$11$	−13.7841	+	3.14613i	−0.377824	+	0.0862359i	−0.407215	−	0.913332i	$-0.633500\pi$
$11$	−13.7841	+	3.14613i	−0.377824	+	0.0862359i	0.0293915	+	0.999568i	$0.490643\pi$
$12$	98.4868	−	22.4790i	2.36922	−	0.540760i
$13$	−37.6611	−	30.0337i	−0.803485	−	0.640758i	0.133137	−	0.991098i	$-0.457495\pi$
$13$	−37.6611	−	30.0337i	−0.803485	−	0.640758i	−0.936623	+	0.350339i	$0.886066\pi$
$14$		−	149.913i		−	2.86185i
$15$	−67.3143	+	84.4094i	−1.15870	+	1.45296i
$16$	75.7673	−	95.0092i	1.18386	−	1.48452i
$17$	−6.71202	+	13.9376i	−0.0957590	+	0.198846i	−0.943346	−	0.331811i	$-0.892340\pi$
$17$	−6.71202	+	13.9376i	−0.0957590	+	0.198846i	0.847587	+	0.530657i	$0.178055\pi$
$18$	−19.0738	−	4.35347i	−0.249763	−	0.0570068i
$19$	102.106			1.23288			0.616440	−	0.787402i	$-0.288574\pi$
$19$	102.106			1.23288			0.616440	+	0.787402i	$0.288574\pi$
$20$			353.847i			3.95613i
$21$	−70.5554	+	146.510i	−0.733164	+	1.52243i
$22$	65.1976	−	31.3975i	0.631826	−	0.304272i
$23$	−0.195533	−	0.856684i	−0.00177267	−	0.00776657i	0.974034	−	0.226402i	$-0.0726965\pi$
$23$	−0.195533	−	0.856684i	−0.00177267	−	0.00776657i	−0.975807	+	0.218636i	$0.929839\pi$
$24$	−261.025	+	125.703i	−2.22006	+	1.06913i
$25$	−157.849	−	197.937i	−1.26279	−	1.58349i
$26$	222.129	+	106.972i	1.67550	+	0.806880i
$27$	−100.604	−	80.2287i	−0.717080	−	0.571853i
$28$	118.595	+	519.597i	0.800439	+	3.50695i
$29$	37.5596	+	164.559i	0.240505	+	1.05372i	0.940559	+	0.339631i	$0.110302\pi$
$29$	37.5596	+	164.559i	0.240505	+	1.05372i	−0.700054	+	0.714090i	$0.746841\pi$
$30$	239.755	−	497.856i	1.45910	−	3.02985i
$31$	323.958	−	73.9412i	1.87692	−	0.428395i	0.878168	−	0.478352i	$-0.158766\pi$
$31$	323.958	−	73.9412i	1.87692	−	0.428395i	0.998751	+	0.0499574i	$0.0159086\pi$
$32$	−88.7273	+	184.244i	−0.490154	+	1.01782i
$33$	−78.4947			−0.414066
$34$	17.6184	−	77.1913i	0.0888686	−	0.389359i
$35$	−445.328	−	355.137i	−2.15069	−	1.71512i
$36$	69.5537			0.322008
$37$	−91.9794	−	115.339i	−0.408685	−	0.512474i	0.534307	−	0.845290i	$-0.320573\pi$
$37$	−91.9794	−	115.339i	−0.408685	−	0.512474i	−0.942992	+	0.332816i	$0.892001\pi$
$38$	−509.495	+	116.289i	−2.17503	+	0.496435i
$39$	−166.741	−	209.087i	−0.684615	−	0.858480i
$40$	−225.815	−	989.360i	−0.892612	−	3.91079i
$41$	183.728	+	88.4787i	0.699841	+	0.337026i	0.749744	−	0.661729i	$-0.230177\pi$
$41$	183.728	+	88.4787i	0.699841	+	0.337026i	−0.0499028	+	0.998754i	$0.515891\pi$
$42$	185.201	−	811.419i	0.680409	−	2.98107i
$43$	−62.7192	−	274.791i	−0.222432	−	0.974540i	−0.955640	−	0.294536i	$-0.904835\pi$
$43$	−62.7192	−	274.791i	−0.222432	−	0.974540i	0.733208	−	0.680004i	$-0.238022\pi$
$44$	−201.136	+	160.401i	−0.689147	+	0.549576i
$45$	−58.1174	+	46.3470i	−0.192525	+	0.153534i
$46$	1.95136	+	4.05204i	0.00625462	+	0.0129879i
$47$	−68.3567	−	85.7166i	−0.212146	−	0.266022i	0.664361	−	0.747412i	$-0.268704\pi$
$47$	−68.3567	−	85.7166i	−0.212146	−	0.266022i	−0.876507	+	0.481389i	$0.840132\pi$
$48$	527.472	−	420.645i	1.58613	−	1.26489i
$49$	−463.925	−	223.415i	−1.35255	−	0.651355i
$50$	1013.08	+	807.902i	2.86541	+	2.28509i
$51$	−53.5480	+	67.1470i	−0.147024	+	0.184362i
$52$	−854.523	−	195.039i	−2.27887	−	0.520136i
$53$	−506.443	+	243.890i	−1.31255	+	0.632093i	−0.953548	−	0.301243i	$-0.902599\pi$
$53$	−506.443	+	243.890i	−1.31255	+	0.632093i	−0.359006	+	0.933335i	$0.616884\pi$
$54$	593.371	+	285.752i	1.49532	+	0.720110i
$55$	61.1816	−	268.054i	0.149995	−	0.657171i
$56$	−663.185	−	1377.12i	−1.58253	−	3.28616i
$57$	552.660	+	126.141i	1.28424	+	0.293119i
$58$	−374.834	−	778.352i	−0.848589	−	1.76211i
$59$	162.756	+	713.079i	0.359135	+	1.57348i	0.755353	+	0.655318i	$0.227466\pi$
$59$	162.756	+	713.079i	0.359135	+	1.57348i	−0.396217	+	0.918157i	$0.629677\pi$
$60$	−437.140	+	1915.23i	−0.940575	+	4.12093i
$61$	−74.6854	−	327.218i	−0.156762	−	0.686820i	−0.990825	−	0.135150i	$-0.956848\pi$
$61$	−74.6854	−	327.218i	−0.156762	−	0.686820i	0.834063	−	0.551669i	$-0.186009\pi$
$62$	−1532.29	+	737.913i	−3.13873	+	1.51153i
$63$	−69.8073	+	87.5356i	−0.139602	+	0.175055i
$64$	16.5726	−	72.6091i	0.0323683	−	0.141815i
$65$	843.983	−	406.441i	1.61051	−	0.775581i
$66$	391.677	−	89.3978i	0.730487	−	0.166729i
$67$	−153.486	+	122.401i	−0.279870	+	0.223189i	−0.753357	−	0.657612i	$-0.771567\pi$
$67$	−153.486	+	122.401i	−0.279870	+	0.223189i	0.473487	+	0.880801i	$0.342995\pi$
$68$			281.482i			0.501982i
$69$		−	4.87846i		−	0.00851155i
$70$	2626.59	+	1264.90i	4.48483	+	2.15978i
$71$	198.649	−	412.498i	0.332046	−	0.689501i	−0.666378	−	0.745614i	$-0.732156\pi$
$71$	198.649	−	412.498i	0.332046	−	0.689501i	0.998424	+	0.0561131i	$0.0178707\pi$
$72$	−194.473	+	44.3872i	−0.318318	+	0.0726539i
$73$	−572.814	+	456.804i	−0.918395	+	0.732396i	−0.963815	−	0.266572i	$-0.914109\pi$
$73$	−572.814	+	456.804i	−0.918395	+	0.732396i	0.0454196	+	0.998968i	$0.485538\pi$
$74$	590.324	+	470.768i	0.927348	+	0.739536i
$75$	−609.847	−	1266.36i	−0.938921	−	1.94969i
$76$	1673.91	−	806.114i	2.52646	−	1.21668i
$77$		−	414.123i		−	0.612905i
$78$	1070.15	+	853.413i	1.55346	+	1.23885i
$79$	390.390	+	810.653i	0.555978	+	1.15450i	0.969746	+	0.244118i	$0.0784984\pi$
$79$	390.390	+	810.653i	0.555978	+	1.15450i	−0.413767	+	0.910383i	$0.635787\pi$
$80$	1025.34	+	2129.15i	1.43296	+	2.97558i
$81$	−509.763	−	639.222i	−0.699263	−	0.876848i
$82$	−1017.55	−	232.248i	−1.37035	−	0.312774i
$83$	−1307.56			−1.72919			−0.864597	−	0.502466i	$-0.832426\pi$
$83$	−1307.56			−1.72919			−0.864597	+	0.502466i	$0.832426\pi$
$84$			2958.89i			3.84335i
$85$	−187.566	−	235.200i	−0.239345	−	0.300129i
$86$	625.921	+	1299.74i	0.784823	+	1.62970i
$87$			937.096i			1.15480i
$88$	460.017	−	576.843i	0.557249	−	0.698768i
$89$	−1382.17	−	315.472i	−1.64618	−	0.375730i	−0.703834	−	0.710365i	$-0.748530\pi$
$89$	−1382.17	−	315.472i	−1.64618	−	0.375730i	−0.942348	+	0.334635i	$0.891387\pi$
$90$	237.213	−	297.455i	0.277827	−	0.348384i
$91$	1103.10	−	879.695i	1.27073	−	1.01337i
$92$	−9.96895	−	12.5007i	−0.0112971	−	0.0141661i
$93$	1844.80			2.05696
$94$	438.713	+	349.862i	0.481381	+	0.383889i
$95$	−861.526	+	1788.98i	−0.930429	+	1.93206i
$96$	−707.860	+	887.628i	−0.752559	+	0.943679i
$97$	−561.127	−	270.224i	−0.587358	−	0.282857i	0.116507	−	0.993190i	$-0.462830\pi$
$97$	−561.127	−	270.224i	−0.587358	−	0.282857i	−0.703866	+	0.710333i	$0.748544\pi$
$98$	2569.37	+	586.442i	2.64842	+	0.604486i
$99$	−52.6899	−	12.0261i	−0.0534902	−	0.0122088i
$100$	−4150.45	−	1998.75i	−4.15045	−	1.99875i
$101$	−62.8771	+	78.8453i	−0.0619456	+	0.0776773i	−0.811839	−	0.583881i	$-0.801533\pi$
$101$	−62.8771	+	78.8453i	−0.0619456	+	0.0776773i	0.749893	+	0.661559i	$0.230105\pi$
$102$	190.723	−	396.040i	0.185141	−	0.384449i
$103$	467.112	+	372.510i	0.446854	+	0.356354i	0.820915	−	0.571050i	$-0.193464\pi$
$103$	467.112	+	372.510i	0.446854	+	0.356354i	−0.374062	+	0.927404i	$0.622035\pi$
$104$	2513.73			2.37011
$105$	−1971.65	−	2472.37i	−1.83251	−	2.29789i
$106$	2249.31	−	1793.77i	2.06106	−	1.64364i
$107$	746.289	−	935.817i	0.674266	−	0.845503i	−0.320546	−	0.947233i	$-0.603866\pi$
$107$	746.289	−	935.817i	0.674266	−	0.845503i	0.994812	+	0.101730i	$0.0324378\pi$
$108$	−2282.68	−	521.006i	−2.03380	−	0.464202i
$109$	−1374.38	+	1723.42i	−1.20773	+	1.51444i	−0.409242	+	0.912426i	$0.634207\pi$
$109$	−1374.38	+	1723.42i	−1.20773	+	1.51444i	−0.798484	+	0.602015i	$0.794365\pi$
$110$			1407.23i			1.21977i
$111$	−355.360	−	737.913i	−0.303868	−	0.630987i
$112$	2219.24	+	2782.84i	1.87231	+	2.34780i
$113$			315.056i			0.262283i	0.991364	+	0.131142i	$0.0418643\pi$
$113$			315.056i			0.262283i	−0.991364	+	0.131142i	$0.958136\pi$
$114$	−2901.36			−2.38366
$115$	16.6596	+	3.80245i	0.0135088	+	0.00308330i
$116$	1914.92	+	2401.24i	1.53272	+	1.92198i
$117$	−79.8918	−	165.897i	−0.0631282	−	0.131087i
$118$	−1624.26	−	3372.80i	−1.26716	−	2.63129i
$119$	−354.255	−	282.509i	−0.272895	−	0.217626i
$120$		−	5633.99i		−	4.28592i
$121$	−1019.09	+	490.766i	−0.765655	+	0.368720i
$122$	745.340	+	1547.71i	0.553114	+	1.14855i
$123$	885.141	+	705.876i	0.648866	+	0.517453i
$124$	4727.16	−	3769.79i	3.42348	−	2.73013i
$125$	2429.99	−	554.630i	1.73876	−	0.396861i
$126$	248.634	−	516.294i	0.175794	−	0.365041i
$127$	1265.87	+	609.611i	0.884471	+	0.425939i	0.820256	−	0.571997i	$-0.193831\pi$
$127$	1265.87	+	609.611i	0.884471	+	0.425939i	0.0642156	+	0.997936i	$0.479545\pi$
$128$		−	1254.78i		−	0.866469i
$129$		−	1564.82i		−	1.06802i
$130$	−3748.46	+	2989.30i	−2.52894	+	2.01676i
$131$	1831.20	−	417.959i	1.22132	−	0.278758i	0.437196	−	0.899366i	$-0.355972\pi$
$131$	1831.20	−	417.959i	1.22132	−	0.278758i	0.784121	+	0.620609i	$0.213114\pi$
$132$	−1286.83	+	619.705i	−0.848517	+	0.408624i
$133$	−665.495	+	2915.73i	−0.433878	+	1.90094i
$134$	626.471	−	785.569i	0.403872	−	0.506439i
$135$	2254.52	−	1085.72i	1.43732	−	0.692177i
$136$	−179.634	−	787.028i	−0.113261	−	0.496229i
$137$	−218.459	+	957.131i	−0.136235	+	0.596885i	0.860008	+	0.510281i	$0.170459\pi$
$137$	−218.459	+	957.131i	−0.136235	+	0.596885i	−0.996243	+	0.0866038i	$0.972399\pi$
$138$	5.55609	+	24.3428i	0.00342729	+	0.0150159i
$139$	557.860	+	1158.41i	0.340410	+	0.706869i	0.998957	−	0.0456710i	$-0.0145426\pi$
$139$	557.860	+	1158.41i	0.340410	+	0.706869i	−0.658546	+	0.752540i	$0.728828\pi$
$140$	−10104.4	−	2306.27i	−6.09985	−	1.39225i
$141$	−264.094	−	548.398i	−0.157736	−	0.327542i
$142$	−521.434	+	2284.55i	−0.308153	+	1.35011i
$143$	613.615	+	295.501i	0.358832	+	0.172805i
$144$	418.515	−	201.546i	0.242196	−	0.116635i
$145$	−3200.12	−	730.407i	−1.83280	−	0.418324i
$146$	2338.01	−	2931.77i	1.32531	−	1.66188i
$147$	−2235.04	−	1782.39i	−1.25403	−	1.00006i
$148$	−2418.48	−	1164.68i	−1.34323	−	0.646865i
$149$	1047.43	−	835.297i	0.575897	−	0.459263i	−0.291714	−	0.956506i	$-0.594226\pi$
$149$	1047.43	−	835.297i	0.575897	−	0.459263i	0.867611	+	0.497243i	$0.165654\pi$
$150$	4485.31	+	5624.40i	2.44149	+	3.06154i
$151$	385.622	+	800.752i	0.207824	+	0.431552i	0.978661	−	0.205481i	$-0.0658759\pi$
$151$	385.622	+	800.752i	0.207824	+	0.431552i	−0.770837	+	0.637033i	$0.780162\pi$
$152$	−4165.84	+	3322.15i	−2.22299	+	1.77277i
$153$	−46.2319	+	36.8687i	−0.0244289	+	0.0194814i
$154$	471.646	+	2066.41i	0.246794	+	1.08128i
$155$	−1437.91	+	6299.88i	−0.745131	+	3.26463i
$156$	−4384.25	−	2111.34i	−2.25013	−	1.08361i
$157$	−83.2541	−	364.760i	−0.0423210	−	0.185421i	0.949349	−	0.314223i	$-0.101744\pi$
$157$	−83.2541	−	364.760i	−0.0423210	−	0.185421i	−0.991670	+	0.128802i	$0.958887\pi$
$158$	−2871.25	−	3600.43i	−1.44572	−	1.81288i
$159$	−3042.48	+	694.426i	−1.51751	+	0.346362i
$160$	−2479.46	−	3109.15i	−1.22512	−	1.53625i
$161$	25.7378			0.0125989
$162$	3271.66	+	2609.06i	1.58670	+	1.26535i
$163$	−355.134	+	1555.94i	−0.170652	+	0.747673i	0.815080	+	0.579348i	$0.196693\pi$
$163$	−355.134	+	1555.94i	−0.170652	+	0.747673i	−0.985732	+	0.168325i	$0.946164\pi$
$164$	3710.54			1.76673
$165$	662.304	−	1375.29i	0.312487	−	0.648885i
$166$	6524.53	−	1489.18i	3.05061	−	0.696283i
$167$	238.713	−	495.693i	0.110612	−	0.229688i	−0.838314	−	0.545188i	$-0.816458\pi$
$167$	238.713	−	495.693i	0.110612	−	0.229688i	0.948925	+	0.315501i	$0.102172\pi$
$168$	−1888.28	−	8273.09i	−0.867165	−	3.79930i
$169$	27.4554	+	120.290i	0.0124968	+	0.0547519i
$170$	1203.80	+	959.995i	0.543100	+	0.433107i
$171$	351.649	+	169.345i	0.157259	+	0.0757320i
$172$	−3197.65	−	4009.73i	−1.41755	−	1.77755i
$173$	1225.51	−	590.176i	0.538578	−	0.259366i	−0.144761	−	0.989467i	$-0.546241\pi$
$173$	1225.51	−	590.176i	0.538578	−	0.259366i	0.683339	+	0.730101i	$0.260527\pi$
$174$	−1067.26	−	4675.98i	−0.464994	−	2.03727i
$175$	6681.07	−	3217.43i	2.88595	−	1.38980i
$176$	−745.473	+	1547.99i	−0.319273	+	0.662978i
$177$			4060.69i			1.72441i
$178$	7256.15			3.05546
$179$	−4181.96	−	954.506i	−1.74623	−	0.398565i	−0.774108	−	0.633053i	$-0.781801\pi$
$179$	−4181.96	−	954.506i	−1.74623	−	0.398565i	−0.972119	+	0.234489i	$0.924658\pi$
$180$	−586.864	+	1218.64i	−0.243013	+	0.504621i
$181$	1103.99	−	1384.36i	0.453365	−	0.568502i	−0.501646	−	0.865073i	$-0.667272\pi$
$181$	1103.99	−	1384.36i	0.453365	−	0.568502i	0.955011	+	0.296571i	$0.0958432\pi$
$182$	−4502.44	+	5645.88i	−1.83375	+	2.29945i
$183$		−	1863.37i		−	0.752701i
$184$	35.8509	+	28.5901i	0.0143639	+	0.0114548i
$185$	2796.91	−	638.375i	1.11153	−	0.253699i
$186$	−9205.31	+	2101.05i	−3.62885	+	0.828261i
$187$	48.6695	−	213.235i	0.0190324	−	0.0833865i
$188$	−1797.35	−	865.559i	−0.697263	−	0.335784i
$189$	2946.70	−	2349.92i	1.13408	−	0.904399i
$190$	2261.42	−	9907.95i	0.863479	−	3.78315i
$191$	−126.464			−0.0479088			−0.0239544	−	0.999713i	$-0.507626\pi$
$191$	−126.464			−0.0479088			−0.0239544	+	0.999713i	$0.507626\pi$
$192$	179.401	−	372.531i	0.0674332	−	0.140027i
$193$	2392.21	−	1152.03i	0.892203	−	0.429662i	0.0691363	−	0.997607i	$-0.477976\pi$
$193$	2392.21	−	1152.03i	0.892203	−	0.429662i	0.823067	+	0.567945i	$0.192261\pi$
$194$	3107.70	+	709.313i	1.15010	+	0.262504i
$195$	5070.26	−	1157.25i	1.86199	−	0.424988i
$196$	−9369.36			−3.41449
$197$	837.936	+	2635.00i	0.303048	+	0.952975i
$197$	837.936	+	2635.00i	0.303048	+	0.952975i
$198$	276.612			0.0992826
$199$	−2944.16	+	671.985i	−1.04877	+	0.239376i	−0.711977	−	0.702202i	$-0.752200\pi$
$199$	−2944.16	+	671.985i	−1.04877	+	0.239376i	−0.336795	+	0.941578i	$0.609343\pi$
$200$	12880.2	+	2939.83i	4.55385	+	1.03939i
$201$	−981.972	+	472.893i	−0.344592	+	0.165947i
$202$	223.951	−	465.038i	0.0780055	−	0.161980i
$203$	−4943.94			−1.70934
$204$	−347.741	+	1523.55i	−0.119347	+	0.522893i
$205$	−3100.43	+	2472.51i	−1.05631	+	0.842379i
$206$	−2755.08	−	1326.78i	−0.931822	−	0.448742i
$207$	0.747426	−	3.27469i	0.000250965	−	0.00109955i
$208$	−5706.96	+	1302.58i	−1.90243	+	0.434218i
$209$	−1407.44	+	321.239i	−0.465812	+	0.106318i
$210$	12654.1	+	10091.3i	4.15816	+	3.31602i
$211$			2199.21i			0.717535i	0.933427	+	0.358768i	$0.116803\pi$
$211$			2199.21i			0.717535i	−0.933427	+	0.358768i	$0.883197\pi$
$212$	−6377.08	+	7996.61i	−2.06594	+	2.59061i
$213$	1584.80	−	1987.28i	0.509808	−	0.639279i
$214$	−2658.07	+	5519.55i	−0.849076	+	1.76312i
$215$	5343.75	+	1219.68i	1.69507	+	0.386890i
$216$	6714.88			2.11523
$217$			9732.82i			3.04473i
$218$	4895.18	−	10164.9i	1.52084	−	3.15806i
$219$	−3664.75	+	1764.85i	−1.13078	+	0.544555i
$220$	−1113.25	−	4877.46i	−0.341160	−	1.49472i
$221$	671.382	−	323.320i	0.204353	−	0.0984112i
$222$	2613.61	+	3277.36i	0.790153	+	0.990821i
$223$	−208.304	−	100.314i	−0.0625517	−	0.0301233i	0.402346	−	0.915488i	$-0.368195\pi$
$223$	−208.304	−	100.314i	−0.0625517	−	0.0301233i	−0.464898	+	0.885364i	$0.653909\pi$
$224$	−4682.96	−	3734.53i	−1.39684	−	1.11395i
$225$	−215.344	−	943.484i	−0.0638057	−	0.279551i
$226$	−358.819	−	1572.09i	−0.105612	−	0.462716i
$227$	−218.713	+	454.161i	−0.0639492	+	0.132792i	−0.930494	−	0.366308i	$-0.880622\pi$
$227$	−218.713	+	454.161i	−0.0639492	+	0.132792i	0.866544	+	0.499100i	$0.166336\pi$
$228$	10056.1	−	2295.24i	2.92097	−	0.666692i
$229$	242.853	−	504.289i	0.0700793	−	0.145521i	−0.862986	−	0.505227i	$-0.831409\pi$
$229$	242.853	−	504.289i	0.0700793	−	0.145521i	0.933066	+	0.359706i	$0.117123\pi$
$230$	−87.4598			−0.0250736
$231$	511.604	−	2241.48i	0.145719	−	0.638436i
$232$	−6886.54	−	5491.83i	−1.94881	−	1.55412i
$233$	−3979.54			−1.11892			−0.559460	−	0.828857i	$-0.688992\pi$
$233$	−3979.54			−1.11892			−0.559460	+	0.828857i	$0.688992\pi$
$234$	587.589	+	736.814i	0.164154	+	0.205842i
$235$	2078.59	−	474.424i	0.576987	−	0.131694i
$236$	8297.86	+	10405.2i	2.28875	+	2.87000i
$237$	1111.55	+	4870.03i	0.304654	+	1.33478i
$238$	2089.43	+	1006.22i	0.569066	+	0.274048i
$239$	426.251	−	1867.53i	0.115364	−	0.505441i	−0.883922	−	0.467635i	$-0.845106\pi$
$239$	426.251	−	1867.53i	0.115364	−	0.505441i	0.999285	−	0.0378056i	$-0.0120368\pi$
$240$	2919.45	+	12790.9i	0.785207	+	3.44022i
$241$	−2597.80	+	2071.67i	−0.694352	+	0.553727i	−0.905823	−	0.423657i	$-0.860746\pi$
$241$	−2597.80	+	2071.67i	−0.694352	+	0.553727i	0.211470	+	0.977384i	$0.432175\pi$
$242$	4526.16	−	3609.50i	1.20228	−	0.958790i
$243$	−462.025	−	959.404i	−0.121971	−	0.253275i
$244$	−3807.73	−	4774.74i	−0.999036	−	1.25275i
$245$	7828.80	−	6243.26i	2.04148	−	1.62803i
$246$	−5220.66	−	2514.13i	−1.35308	−	0.651607i
$247$	−3845.42	−	3066.62i	−0.990601	−	0.789978i
$248$	−10811.4	+	13557.1i	−2.76825	+	3.47128i
$249$	−7077.30	−	1615.35i	−1.80123	−	0.411118i
$250$	−11493.7	+	5535.05i	−2.90769	+	1.40027i
$251$	−5529.55	−	2662.89i	−1.39053	−	0.669642i	−0.419310	−	0.907843i	$-0.637728\pi$
$251$	−5529.55	−	2662.89i	−1.39053	−	0.669642i	−0.971216	+	0.238201i	$0.923442\pi$
$252$	−453.330	+	1986.17i	−0.113322	+	0.496495i
$253$	5.39048	+	11.1935i	0.00133951	+	0.00278153i
$254$	−7010.81	−	1600.17i	−1.73188	−	0.395290i
$255$	−724.655	−	1504.76i	−0.177959	−	0.369536i
$256$	1561.65	+	6842.06i	0.381263	+	1.67042i
$257$	727.609	−	3187.86i	0.176603	−	0.773749i	−0.806580	−	0.591125i	$-0.798684\pi$
$257$	727.609	−	3187.86i	0.176603	−	0.773749i	0.983183	−	0.182623i	$-0.0584589\pi$
$258$	1782.18	+	7808.23i	0.430052	+	1.88418i
$259$	3893.09	−	1874.81i	0.933995	−	0.449788i
$260$	10627.3	−	13326.3i	2.53492	−	3.17869i
$261$	−143.572	+	629.030i	−0.0340494	+	0.149180i
$262$	−8661.41	+	4171.11i	−2.04238	+	0.983558i
$263$	5237.10	−	1195.33i	1.22788	−	0.280257i	0.441085	−	0.897465i	$-0.354594\pi$
$263$	5237.10	−	1195.33i	1.22788	−	0.280257i	0.786800	+	0.617209i	$0.211737\pi$
$264$	3202.52	−	2553.92i	0.746596	−	0.595390i
$265$		−	10931.1i		−	2.53394i
$266$		−	15307.0i		−	3.52832i
$267$	−7091.43	−	3415.05i	−1.62543	−	0.782764i
$268$	−1549.89	+	3218.38i	−0.353263	+	0.733558i
$269$	−89.8931	+	20.5175i	−0.0203750	+	0.00465046i	−0.232696	−	0.972549i	$-0.574755\pi$
$269$	−89.8931	+	20.5175i	−0.0203750	+	0.00465046i	0.212321	+	0.977200i	$0.431898\pi$
$270$	−10013.2	+	7985.27i	−2.25698	+	1.79988i
$271$	4617.30	+	3682.18i	1.03499	+	0.825374i	0.984857	−	0.173369i	$-0.0554654\pi$
$271$	4617.30	+	3682.18i	1.03499	+	0.825374i	0.0501287	+	0.998743i	$0.484037\pi$
$272$	815.653	+	1693.72i	0.181824	+	0.377562i
$273$	7057.43	−	3398.68i	1.56460	−	0.753470i
$274$		−	5024.75i		−	1.10787i
$275$	2798.55	+	2231.77i	0.613668	+	0.489384i
$276$	−38.5148	−	79.9768i	−0.00839970	−	0.0174422i
$277$	−566.071	−	1175.46i	−0.122787	−	0.254969i	0.830511	−	0.557003i	$-0.188049\pi$
$277$	−566.071	−	1175.46i	−0.122787	−	0.254969i	−0.953297	+	0.302034i	$0.902335\pi$
$278$	−4102.96	−	5144.94i	−0.885176	−	1.10998i
$279$	1238.33	+	282.641i	0.265724	+	0.0606497i
$280$	29723.8			6.34407
$281$			604.652i			0.128365i	0.997938	+	0.0641824i	$0.0204439\pi$
$281$			604.652i			0.128365i	−0.997938	+	0.0641824i	$0.979556\pi$
$282$	1942.37	+	2435.65i	0.410164	+	0.514329i
$283$	−71.6768	−	148.838i	−0.0150556	−	0.0312633i	0.893305	−	0.449450i	$-0.148380\pi$
$283$	−71.6768	−	148.838i	−0.0150556	−	0.0312633i	−0.908361	+	0.418187i	$0.862666\pi$
$284$		−	8330.75i		−	1.74063i
$285$	−6873.19	+	8618.71i	−1.42854	+	1.79133i
$286$	−3398.40	−	775.662i	−0.702628	−	0.160370i
$287$	−3724.07	+	4669.83i	−0.765940	+	0.960458i
$288$	−611.147	+	487.374i	−0.125042	+	0.0997180i
$289$	2914.00	+	3654.04i	0.593120	+	0.743749i
$290$	16800.0			3.40183
$291$	−2703.32	−	2155.83i	−0.544576	−	0.434285i
$292$	−5784.23	+	12011.1i	−1.15924	+	2.40718i
$293$	−4296.90	+	5388.14i	−0.856749	+	1.07433i	0.139705	+	0.990193i	$0.455384\pi$
$293$	−4296.90	+	5388.14i	−0.856749	+	1.07433i	−0.996454	+	0.0841360i	$0.973187\pi$
$294$	13182.5	+	6348.36i	2.61503	+	1.25933i
$295$	−13867.0	−	3165.05i	−2.73684	−	0.624665i
$296$	7505.37	+	1713.05i	1.47379	+	0.336382i
$297$	1639.14	+	789.369i	0.320244	+	0.154222i
$298$	−4275.20	+	5360.94i	−0.831060	+	1.04212i
$299$	−18.3655	+	38.1363i	−0.00355218	+	0.00737618i
$300$	−19995.5	−	15945.9i	−3.84813	−	3.06878i
$301$	8255.68			1.58090
$302$	−2836.18	−	3556.46i	−0.540410	−	0.677653i
$303$	−437.734	+	349.081i	−0.0829939	+	0.0661854i
$304$	7736.29	−	9701.01i	1.45956	−	1.83023i
$305$	6363.29	+	1452.38i	1.19463	+	0.272665i
$306$	188.701	−	236.623i	0.0352526	−	0.0442054i
$307$		−	1766.06i		−	0.328320i	−0.986434	−	0.164160i	$-0.947509\pi$
$307$		−	1766.06i		−	0.328320i	0.986434	−	0.164160i	$-0.0524914\pi$
$308$	−3269.44	−	6789.07i	−0.604850	−	1.25598i
$309$	2068.10	+	2593.31i	0.380745	+	0.477439i
$310$		−	33073.2i		−	6.05945i
$311$	−7181.14			−1.30934			−0.654670	−	0.755915i	$-0.727193\pi$
$311$	−7181.14			−1.30934			−0.654670	+	0.755915i	$0.727193\pi$
$312$	13605.8	+	3105.44i	2.46884	+	0.563496i
$313$	−4985.22	−	6251.26i	−0.900259	−	1.12889i	−0.991113	−	0.133025i	$-0.957531\pi$
$313$	−4985.22	−	6251.26i	−0.900259	−	1.12889i	0.0908537	−	0.995864i	$-0.471040\pi$
$314$	830.853	+	1725.28i	0.149324	+	0.310075i
$315$	−944.689	−	1961.67i	−0.168975	−	0.350881i
$316$	12800.0	+	10207.7i	2.27866	+	1.81717i
$317$			2801.26i			0.496324i	0.968719	+	0.248162i	$0.0798265\pi$
$317$			2801.26i			0.496324i	−0.968719	+	0.248162i	$0.920174\pi$
$318$	14390.7	−	6930.18i	2.53770	−	1.22209i
$319$	−1035.45	−	2150.14i	−0.181737	−	0.377381i
$320$	1132.34	+	903.008i	0.197811	+	0.157749i
$321$	5195.47	−	4143.25i	0.903373	−	0.720416i
$322$	−128.428	+	29.3129i	−0.0222268	+	0.00507311i
$323$	−685.337	+	1423.12i	−0.118059	+	0.245153i
$324$	−13403.6	−	6454.82i	−2.29828	−	1.10679i
$325$			12195.3i			2.08146i
$326$		−	8168.40i		−	1.38775i
$327$	−9568.11	+	7630.31i	−1.61810	+	1.29039i
$328$	−10374.7	+	2367.96i	−1.74649	+	0.398624i
$329$	2893.24	−	1393.31i	0.484831	−	0.233482i
$330$	−1738.48	+	7616.80i	−0.290001	+	1.27058i
$331$	1558.19	−	1953.91i	0.258749	−	0.324461i	−0.635441	−	0.772150i	$-0.719181\pi$
$331$	1558.19	−	1953.91i	0.258749	−	0.324461i	0.894189	+	0.447689i	$0.147753\pi$
$332$	−21435.9	+	10323.0i	−3.54352	+	1.70647i
$333$	−125.482	−	549.772i	−0.0206497	−	0.0904724i
$334$	−626.599	+	2745.31i	−0.102653	+	0.449751i
$335$	−849.513	−	3721.96i	−0.138549	−	0.607022i
$336$	8573.98	+	17804.1i	1.39211	+	2.89075i
$337$	4295.12	+	980.333i	0.694273	+	0.158463i	0.555074	−	0.831801i	$-0.312690\pi$
$337$	4295.12	+	980.333i	0.694273	+	0.158463i	0.139199	+	0.990264i	$0.455547\pi$
$338$	−273.997	−	568.961i	−0.0440931	−	0.0915603i
$339$	−389.218	+	1705.28i	−0.0623582	+	0.273209i
$340$	−4931.80	−	2375.03i	−0.786659	−	0.378835i
$341$	−4232.84	+	2038.43i	−0.672202	+	0.323716i
$342$	−1947.55	−	444.516i	−0.307928	−	0.0702826i
$343$	3139.60	−	3936.93i	0.494234	−	0.619750i
$344$	11499.6	+	9170.59i	1.80237	+	1.43734i
$345$	85.4744	+	41.1623i	0.0133385	+	0.00642349i
$346$	−5442.99	+	4340.64i	−0.845713	+	0.674434i
$347$	2918.88	+	3660.16i	0.451567	+	0.566247i	0.954551	−	0.298049i	$-0.0963359\pi$
$347$	2918.88	+	3660.16i	0.451567	+	0.566247i	−0.502984	+	0.864296i	$0.667764\pi$
$348$	7398.25	+	15362.6i	1.13962	+	2.36645i
$349$	4697.80	−	3746.37i	0.720537	−	0.574609i	−0.193081	−	0.981183i	$-0.561848\pi$
$349$	4697.80	−	3746.37i	0.720537	−	0.574609i	0.913618	+	0.406574i	$0.133277\pi$
$350$	−29673.3	+	23663.6i	−4.53172	+	3.61393i
$351$	1379.28	+	6043.00i	0.209744	+	0.918950i
$352$	643.370	−	2818.79i	0.0974197	−	0.426824i
$353$	−655.047	−	315.454i	−0.0987667	−	0.0475635i	0.383848	−	0.923396i	$-0.374599\pi$
$353$	−655.047	−	315.454i	−0.0987667	−	0.0475635i	−0.482615	+	0.875833i	$0.660313\pi$
$354$	−4624.73	−	20262.3i	−0.694355	−	3.04217i
$355$	5551.18	+	6960.97i	0.829933	+	1.04070i
$356$	−25149.8	+	5740.27i	−3.74420	+	0.854590i
$357$	−1568.43	−	1966.75i	−0.232522	−	0.291573i
$358$	21954.5			3.24115
$359$	10141.8	+	8087.79i	1.49098	+	1.18902i	0.933371	+	0.358913i	$0.116853\pi$
$359$	10141.8	+	8087.79i	1.49098	+	1.18902i	0.557609	+	0.830104i	$0.311719\pi$
$360$	863.181	−	3781.84i	0.126371	−	0.553668i
$361$	3566.64			0.519994
$362$	−3932.11	+	8165.12i	−0.570904	+	1.18549i
$363$	−6122.20	+	1397.35i	−0.885213	+	0.202044i
$364$	11139.0	−	23130.5i	1.60397	−	3.33067i
$365$	−3170.41	−	13890.5i	−0.454649	−	1.99195i
$366$	2122.20	+	9297.96i	0.303085	+	1.32790i
$367$	2647.41	+	2111.24i	0.376550	+	0.300289i	0.793417	−	0.608679i	$-0.208300\pi$
$367$	2647.41	+	2111.24i	0.376550	+	0.300289i	−0.416866	+	0.908968i	$0.636872\pi$
$368$	−96.2078	−	46.3313i	−0.0136282	−	0.00656300i
$369$	486.008	+	609.435i	0.0685652	+	0.0859780i
$370$	−13229.1	+	6370.81i	−1.85878	+	0.895142i
$371$	−3663.66	−	16051.5i	−0.512689	−	2.24624i
$372$	30243.4	−	14564.5i	4.21519	−	2.02993i
$373$	−1941.04	+	4030.61i	−0.269446	+	0.559510i	−0.991159	−	0.132683i	$-0.957641\pi$
$373$	−1941.04	+	4030.61i	−0.269446	+	0.559510i	0.721713	+	0.692193i	$0.243355\pi$
$374$			1119.44i			0.154773i
$375$	13837.8			1.90555
$376$	5577.79	+	1273.09i	0.765034	+	0.174614i
$377$	3527.79	−	7325.54i	0.481938	−	1.00075i
$378$	−12027.3	+	15081.8i	−1.63656	+	2.05218i
$379$	4823.43	−	6048.39i	0.653729	−	0.819750i	−0.338916	−	0.940817i	$-0.610060\pi$
$379$	4823.43	−	6048.39i	0.653729	−	0.819750i	0.992644	+	0.121067i	$0.0386316\pi$
$380$			36129.9i			4.87743i
$381$	6098.55	+	4863.43i	0.820048	+	0.653966i
$382$	631.036	−	144.030i	0.0845199	−	0.0192911i
$383$	4435.75	−	1012.43i	0.591791	−	0.135073i	0.0838712	−	0.996477i	$-0.473272\pi$
$383$	4435.75	−	1012.43i	0.591791	−	0.135073i	0.507920	+	0.861404i	$0.330414\pi$
$384$	1550.15	−	6791.64i	0.206004	−	0.902563i
$385$	7255.76	+	3494.19i	0.960487	+	0.462546i
$386$	−10624.8	+	8472.96i	−1.40100	+	1.11726i
$387$	239.745	−	1050.39i	0.0314908	−	0.137970i
$388$	−11332.4			−1.48277
$389$	−1693.09	+	3515.75i	−0.220677	+	0.458240i	−0.981687	−	0.190499i	$-0.938989\pi$
$389$	−1693.09	+	3515.75i	−0.220677	+	0.458240i	0.761010	+	0.648740i	$0.224704\pi$
$390$	−23981.9	+	11549.1i	−3.11377	+	1.49951i
$391$	13.2526	+	3.02482i	0.00171410	+	0.000391232i
$392$	26196.8	−	5979.26i	3.37536	−	0.770403i
$393$	10427.9			1.33847
$394$	−7182.20	−	12194.0i	−0.918360	−	1.55920i
$395$	−17497.2			−2.22881
$396$	−958.736	+	218.825i	−0.121662	+	0.0277686i
$397$	5061.02	+	1155.14i	0.639812	+	0.146033i	0.530106	−	0.847931i	$-0.322152\pi$
$397$	5061.02	+	1155.14i	0.639812	+	0.146033i	0.109706	+	0.993964i	$0.465009\pi$
$398$	13925.6	−	6706.22i	1.75384	−	0.844604i
$399$	−7204.13	+	14959.5i	−0.903904	+	1.87698i
$400$	−30765.6			−3.84570
$401$	−132.596	+	580.940i	−0.0165125	+	0.0723460i	−0.982513	−	0.186195i	$-0.940384\pi$
$401$	−132.596	+	580.940i	−0.0165125	+	0.0723460i	0.966000	+	0.258541i	$0.0832416\pi$
$402$	4361.33	−	3478.04i	0.541102	−	0.431515i
$403$	−14421.3	−	6944.95i	−1.78257	−	0.858443i
$404$	−408.324	+	1788.99i	−0.0502844	+	0.220310i
$405$	15500.8	−	3537.97i	1.90183	−	0.434081i
$406$	24669.6	−	5630.67i	3.01559	−	0.688289i
$407$	1630.72	+	1300.46i	0.198604	+	0.158382i
$408$		−	4481.79i		−	0.543828i
$409$	−970.547	+	1217.03i	−0.117336	+	0.147135i	−0.837031	−	0.547156i	$-0.815710\pi$
$409$	−970.547	+	1217.03i	−0.117336	+	0.147135i	0.719695	+	0.694291i	$0.244282\pi$
$410$	12654.8	−	15868.6i	1.52433	−	1.91145i
$411$	−2364.86	+	4910.69i	−0.283820	+	0.589359i
$412$	10598.7	+	2419.08i	1.26738	+	0.289271i
$413$	−21423.4			−2.55249
$414$			17.1915i			0.00204086i
$415$	11032.6	−	22909.4i	1.30499	−	2.70983i
$416$	8875.11	−	4274.03i	1.04600	−	0.503729i
$417$	1588.39	+	6959.18i	0.186532	+	0.817248i
$418$	6657.07	−	3205.88i	0.778966	−	0.375130i
$419$	−4186.16	−	5249.28i	−0.488084	−	0.612038i	0.475411	−	0.879764i	$-0.342299\pi$
$419$	−4186.16	−	5249.28i	−0.488084	−	0.612038i	−0.963495	+	0.267726i	$0.913728\pi$
$420$	−51842.1	−	24965.8i	−6.02294	−	2.90049i
$421$	5521.81	+	4403.49i	0.639231	+	0.509770i	0.888626	−	0.458632i	$-0.151660\pi$
$421$	5521.81	+	4403.49i	0.639231	+	0.509770i	−0.249395	+	0.968402i	$0.580232\pi$
$422$	−2504.69	−	10973.8i	−0.288925	−	1.26586i
$423$	−93.2548	−	408.576i	−0.0107192	−	0.0469637i
$424$	12727.2	−	26428.3i	1.45775	−	3.02705i
$425$	3818.26	−	871.493i	0.435795	−	0.0994674i
$426$	−5644.63	+	11721.2i	−0.641980	+	1.33308i
$427$	9830.78			1.11416
$428$	4846.41	−	21233.5i	0.547337	−	2.39804i
$429$	2956.20	+	2357.49i	0.332696	+	0.265316i
$430$	−28053.7			−3.14621
$431$	−8490.82	−	10647.2i	−0.948930	−	1.18992i	−0.981696	−	0.190457i	$-0.939003\pi$
$431$	−8490.82	−	10647.2i	−0.948930	−	1.18992i	0.0327660	−	0.999463i	$-0.489568\pi$
$432$	−15244.9	+	3479.55i	−1.69785	+	0.387523i
$433$	7888.60	+	9891.99i	0.875524	+	1.09787i	0.994475	+	0.104973i	$0.0334755\pi$
$433$	7888.60	+	9891.99i	0.875524	+	1.09787i	−0.118951	+	0.992900i	$0.537953\pi$
$434$	−11084.7	−	48565.4i	−1.22600	−	5.37146i
$435$	−16418.7	−	7906.81i	−1.80969	−	0.871500i
$436$	−8925.27	+	39104.2i	−0.980374	+	4.29530i
$437$	−19.9651	−	87.4726i	−0.00218549	−	0.00957525i
$438$	16276.6	−	12980.2i	1.77563	−	1.41602i
$439$	−12230.3	+	9753.31i	−1.32966	+	1.06037i	−0.336733	+	0.941600i	$0.609322\pi$
$439$	−12230.3	+	9753.31i	−1.32966	+	1.06037i	−0.992922	+	0.118765i	$0.962106\pi$
$440$	6225.32	+	12927.0i	0.674501	+	1.40062i
$441$	−1227.20	−	1538.86i	−0.132513	−	0.166166i
$442$	−2981.87	+	2377.96i	−0.320889	+	0.255901i
$443$	−877.620	−	422.639i	−0.0941241	−	0.0453278i	0.386229	−	0.922403i	$-0.373777\pi$
$443$	−877.620	−	422.639i	−0.0941241	−	0.0453278i	−0.480353	+	0.877075i	$0.659492\pi$
$444$	−11651.5	−	9291.73i	−1.24539	−	0.993166i
$445$	17189.5	−	21555.0i	1.83115	−	2.29619i
$446$	1153.65	+	263.314i	0.122482	+	0.0279558i
$447$	6701.24	−	3227.15i	0.709078	−	0.341474i
$448$	1965.40	+	946.487i	0.207269	+	0.0998155i
$449$	−1767.19	+	7742.56i	−0.185743	+	0.813795i	0.793085	+	0.609111i	$0.208474\pi$
$449$	−1767.19	+	7742.56i	−0.185743	+	0.813795i	−0.978828	+	0.204684i	$0.934383\pi$
$450$	2149.07	+	4462.60i	0.225130	+	0.467487i
$451$	−2810.89	−	641.567i	−0.293480	−	0.0669850i
$452$	2487.33	+	5164.99i	0.258837	+	0.537480i
$453$	1097.98	+	4810.55i	0.113880	+	0.498939i
$454$	574.100	−	2515.29i	0.0593476	−	0.260019i
$455$	6105.45	+	26749.7i	0.629072	+	2.75615i
$456$	−26652.2	+	12835.0i	−2.73707	+	1.31810i
$457$	4204.72	−	5272.56i	0.430391	−	0.539693i	−0.518592	−	0.855022i	$-0.673543\pi$
$457$	4204.72	−	5272.56i	0.430391	−	0.539693i	0.948982	+	0.315329i	$0.102115\pi$
$458$	−637.466	+	2792.92i	−0.0650367	+	0.284944i
$459$	1793.45	−	863.681i	0.182377	−	0.0878283i
$460$	303.135	−	69.1886i	0.0307255	−	0.00701291i
$461$	9234.99	−	7364.66i	0.933007	−	0.744048i	−0.0338338	−	0.999427i	$-0.510772\pi$
$461$	9234.99	−	7364.66i	0.933007	−	0.744048i	0.966841	+	0.255379i	$0.0822003\pi$
$462$			11767.4i			1.18499i
$463$			11613.2i			1.16569i	0.812585	+	0.582843i	$0.198060\pi$
$463$			11613.2i			1.16569i	−0.812585	+	0.582843i	$0.801940\pi$
$464$	18480.4	+	8899.71i	1.84899	+	0.890428i
$465$	−15565.6	+	32322.4i	−1.55234	+	3.22347i
$466$	19857.4	−	4532.32i	1.97398	−	0.450548i
$467$	9626.68	−	7677.02i	0.953896	−	0.760707i	−0.0170872	−	0.999854i	$-0.505439\pi$
$467$	9626.68	−	7677.02i	0.953896	−	0.760707i	0.970983	+	0.239147i	$0.0768678\pi$
$468$	−2619.47	−	2088.96i	−0.258729	−	0.206329i
$469$	−2494.89	−	5180.70i	−0.245636	−	0.510069i
$470$	−9831.54	+	4734.62i	−0.964883	+	0.464663i
$471$		−	2077.15i		−	0.203206i
$472$	−29841.2	−	23797.6i	−2.91007	−	2.32070i
$473$	1729.06	+	3590.42i	0.168081	+	0.349023i
$474$	−11093.0	−	23034.8i	−1.07493	−	2.23212i
$475$	−16117.4	−	20210.5i	−1.55687	−	1.95226i
$476$	−8037.98	−	1834.62i	−0.773992	−	0.176659i
$477$	−2148.67			−0.206249
$478$			9804.17i			0.938142i
$479$	6582.01	+	8253.57i	0.627849	+	0.787297i	0.989425	−	0.145045i	$-0.0463328\pi$
$479$	6582.01	+	8253.57i	0.627849	+	0.787297i	−0.361576	+	0.932342i	$0.617761\pi$
$480$	−9579.33	−	19891.7i	−0.910906	−	1.89152i
$481$			7106.26i			0.673633i
$482$	10603.2	−	13296.0i	1.00200	−	1.25647i
$483$	139.309	+	31.7963i	0.0131237	+	0.00299540i
$484$	−12832.2	+	16091.1i	−1.20513	+	1.51119i
$485$	9469.09	−	7551.34i	0.886534	−	0.706987i
$486$	3398.11	+	4261.09i	0.317163	+	0.397710i
$487$	−15597.5			−1.45131			−0.725655	−	0.688059i	$-0.758463\pi$
$487$	−15597.5			−1.45131			−0.725655	+	0.688059i	$0.758463\pi$
$488$	13693.6	+	10920.2i	1.27024	+	1.01298i
$489$	−3844.40	+	7982.97i	−0.355521	+	0.738246i
$490$	−31954.2	+	40069.3i	−2.94600	+	3.69417i
$491$	−10643.3	−	5125.53i	−0.978256	−	0.471103i	−0.124751	−	0.992188i	$-0.539813\pi$
$491$	−10643.3	−	5125.53i	−0.978256	−	0.471103i	−0.853505	+	0.521085i	$0.825528\pi$
$492$	20083.7	+	4583.97i	1.84033	+	0.420043i
$493$	−2545.67	−	581.033i	−0.232558	−	0.0530799i
$494$	22680.7	+	10922.5i	2.06570	+	0.994787i
$495$	655.282	−	821.697i	0.0595005	−	0.0746112i
$496$	17520.3	−	36381.3i	1.58606	−	3.29348i
$497$	10484.5	+	8361.12i	0.946268	+	0.754623i
$498$	37154.4			3.34323
$499$	−9829.54	−	12325.9i	−0.881825	−	1.10577i	−0.993702	−	0.112052i	$-0.964258\pi$
$499$	−9829.54	−	12325.9i	−0.881825	−	1.10577i	0.111877	−	0.993722i	$-0.464314\pi$
$500$	35458.2	−	28277.0i	3.17148	−	2.52917i
$501$	1904.44	−	2388.09i	0.169828	−	0.212958i
$502$	30624.5	+	6989.83i	2.72278	+	0.621457i
$503$	−10224.9	+	12821.6i	−0.906372	+	1.13655i	0.0837700	+	0.996485i	$0.473304\pi$
$503$	−10224.9	+	12821.6i	−0.906372	+	1.13655i	−0.990142	+	0.140069i	$0.955268\pi$
$504$		−	5842.65i		−	0.516374i
$505$	−850.903	−	1766.92i	−0.0749796	−	0.155697i
$506$	−39.6460	−	49.7146i	−0.00348316	−	0.00436775i
$507$			685.000i			0.0600038i
$508$	25565.3			2.23283
$509$	−446.226	−	101.848i	−0.0388578	−	0.00886903i	0.203048	−	0.979169i	$-0.434915\pi$
$509$	−446.226	−	101.848i	−0.0388578	−	0.00886903i	−0.241906	+	0.970300i	$0.577772\pi$
$510$	5329.70	+	6683.24i	0.462751	+	0.580272i
$511$	−9311.02	−	19334.5i	−0.806057	−	1.67379i
$512$	−11229.4	−	23318.2i	−0.969290	−	2.01275i
$513$	−10272.2	−	8191.83i	−0.884074	−	0.705026i
$514$			16735.7i			1.43615i
$515$	−10468.0	+	5041.10i	−0.895676	+	0.431335i
$516$	−12354.0	−	25653.4i	−1.05398	−	2.18862i
$517$	1211.91	+	966.467i	0.103094	+	0.0822151i
$518$	−17290.7	+	13788.9i	−1.46662	+	1.16959i
$519$	7362.32	−	1680.40i	0.622678	−	0.142122i
$520$	−21209.7	+	44042.5i	−1.78867	+	3.71421i
$521$	−6460.49	−	3111.21i	−0.543261	−	0.261621i	0.142065	−	0.989857i	$-0.454626\pi$
$521$	−6460.49	−	3111.21i	−0.543261	−	0.261621i	−0.685326	+	0.728237i	$0.740340\pi$
$522$		−	3302.29i		−	0.276891i
$523$			18643.4i			1.55873i	0.626569	+	0.779366i	$0.284459\pi$
$523$			18643.4i			1.55873i	−0.626569	+	0.779366i	$0.715541\pi$
$524$	26720.7	−	21309.0i	2.22767	−	1.77651i
$525$	40136.8	−	9160.96i	3.33660	−	0.761557i
$526$	−24771.1	+	11929.1i	−2.05336	+	0.988848i
$527$	−1143.84	+	5011.50i	−0.0945476	+	0.414240i
$528$	−5947.33	+	7457.71i	−0.490197	+	0.614688i
$529$	10961.4	−	5278.73i	0.900912	−	0.433856i
$530$	12449.5	+	54544.8i	1.02032	+	4.47033i
$531$	−622.136	+	2725.75i	−0.0508444	+	0.222764i
$532$	12109.2	+	53054.0i	0.986846	+	4.32365i
$533$	−4262.05	−	8850.24i	−0.346360	−	0.719224i
$534$	39274.7	+	8964.19i	3.18274	+	0.726439i
$535$	10099.4	+	20971.6i	0.816139	+	1.69473i
$536$	2279.63	−	9987.71i	0.183703	−	0.804857i
$537$	−21456.1	−	10332.7i	−1.72421	−	0.830336i
$538$	425.187	−	204.759i	0.0340727	−	0.0164085i
$539$	7097.69	+	1620.00i	0.567197	+	0.129459i
$540$	28388.7	−	35598.3i	2.26232	−	2.83686i
$541$	3093.07	+	2466.64i	0.245807	+	0.196024i	0.738641	−	0.674099i	$-0.235468\pi$
$541$	3093.07	+	2466.64i	0.245807	+	0.196024i	−0.492835	+	0.870123i	$0.664039\pi$
$542$	−27233.3	−	13114.9i	−2.15825	−	1.03936i
$543$	7685.71	−	6129.15i	0.607413	−	0.484396i
$544$	−1972.39	−	2473.30i	−0.155451	−	0.194930i
$545$	−18599.3	−	38621.8i	−1.46185	−	3.03555i
$546$	−31344.8	+	24996.7i	−2.45684	+	1.95927i
$547$	−19165.7	+	15284.2i	−1.49811	+	1.19470i	−0.570422	+	0.821352i	$0.693220\pi$
$547$	−19165.7	+	15284.2i	−1.49811	+	1.19470i	−0.927690	+	0.373352i	$0.878208\pi$
$548$	3975.04	+	17415.8i	0.309863	+	1.35760i
$549$	285.486	−	1250.80i	0.0221935	−	0.0972361i
$550$	−16506.1	−	7948.93i	−1.27968	−	0.616261i
$551$	3835.06	+	16802.5i	0.296514	+	1.29911i
$552$	158.727	+	199.037i	0.0122389	+	0.0153471i
$553$	−25693.3	+	5864.34i	−1.97575	+	0.450953i
$554$	4163.35	+	5220.68i	0.319285	+	0.400371i
$555$	15927.2			1.21815
$556$	18291.0	+	14586.5i	1.39516	+	1.11260i
$557$	−3820.79	+	16740.0i	−0.290650	+	1.27342i	0.592973	+	0.805222i	$0.297954\pi$
$557$	−3820.79	+	16740.0i	−0.290650	+	1.27342i	−0.883623	+	0.468199i	$0.844903\pi$
$558$	−6501.00			−0.493207
$559$	−5890.92	+	12232.6i	−0.445723	+	0.925554i
$560$	−67482.6	+	15402.5i	−5.09225	+	1.16227i
$561$	526.858	−	1094.03i	0.0396505	−	0.0823352i
$562$	−688.640	−	3017.13i	−0.0516878	−	0.226459i
$563$	−2060.13	−	9026.03i	−0.154217	−	0.675669i	−0.991631	−	0.129101i	$-0.958791\pi$
$563$	−2060.13	−	9026.03i	−0.154217	−	0.675669i	0.837414	−	0.546569i	$-0.184066\pi$
$564$	−8659.06	−	6905.37i	−0.646475	−	0.515547i
$565$	−5520.04	−	2658.31i	−0.411026	−	0.197940i
$566$	527.170	+	661.050i	0.0391495	+	0.0490919i
$567$	21576.0	−	10390.5i	1.59807	−	0.769592i
$568$	5316.45	+	23292.9i	0.392734	+	1.72068i
$569$	18536.6	−	8926.77i	1.36572	−	0.657697i	0.399817	−	0.916595i	$-0.369074\pi$
$569$	18536.6	−	8926.77i	1.36572	−	0.657697i	0.965905	+	0.258898i	$0.0833594\pi$
$570$	24480.4	−	50834.1i	1.79890	−	3.73545i
$571$		−	13393.3i		−	0.981594i	−0.871274	−	0.490797i	$-0.836706\pi$
$571$		−	13393.3i		−	0.981594i	0.871274	−	0.490797i	$-0.163294\pi$
$572$	12392.5			0.905865
$573$	−684.498	−	156.232i	−0.0499045	−	0.0113904i
$574$	13264.1	−	27543.2i	0.964517	−	2.00284i
$575$	−138.705	+	173.930i	−0.0100598	+	0.0126146i
$576$	177.499	−	222.577i	0.0128399	−	0.0161008i
$577$			25876.5i			1.86699i	0.358589	+	0.933496i	$0.383258\pi$
$577$			25876.5i			1.86699i	−0.358589	+	0.933496i	$0.616742\pi$
$578$	−18702.0	−	14914.4i	−1.34585	−	1.07328i
$579$	14371.3	−	3280.16i	1.03152	−	0.235438i
$580$	−58228.8	+	13290.3i	−4.16866	+	0.951468i
$581$	8522.26	−	37338.4i	0.608542	−	2.66620i
$582$	15944.5	+	7678.46i	1.13560	+	0.546877i
$583$	6213.56	−	4955.15i	0.441405	−	0.352009i
$584$	8507.65	−	37274.5i	0.602824	−	2.64114i
$585$	3580.74			0.253069
$586$	15304.4	−	31779.8i	1.07887	−	2.24029i
$587$	5863.42	−	2823.67i	0.412281	−	0.198544i	−0.216234	−	0.976342i	$-0.569377\pi$
$587$	5863.42	−	2823.67i	0.412281	−	0.198544i	0.628515	+	0.777797i	$0.283663\pi$
$588$	−50712.7	−	11574.8i	−3.55673	−	0.811799i
$589$	33078.0	−	7549.84i	2.31402	−	0.528159i
$590$	72799.0			5.07981
$591$	1280.15	+	15297.4i	0.0891007	+	1.06472i
$592$	−17927.3			−1.24460
$593$	10458.4	−	2387.05i	0.724238	−	0.165303i	0.155517	−	0.987833i	$-0.450296\pi$
$593$	10458.4	−	2387.05i	0.724238	−	0.165303i	0.568721	+	0.822531i	$0.307439\pi$
$594$	−9078.10	−	2072.02i	−0.627069	−	0.143124i
$595$	7938.83	−	3823.14i	0.546992	−	0.263417i
$596$	10576.9	−	21963.1i	0.726921	−	1.50947i
$597$	−16765.7			−1.14937
$598$	48.2076	−	211.211i	0.00329658	−	0.0144433i
$599$	−11100.9	+	8852.66i	−0.757212	+	0.603857i	−0.924114	−	0.382117i	$-0.875195\pi$
$599$	−11100.9	+	8852.66i	−0.757212	+	0.603857i	0.166902	+	0.985974i	$0.446624\pi$
$600$	66083.8	+	31824.3i	4.49644	+	2.16537i
$601$	1006.44	−	4409.51i	0.0683089	−	0.299281i	−0.929221	−	0.369524i	$-0.879521\pi$
$601$	1006.44	−	4409.51i	0.0683089	−	0.299281i	0.997530	+	0.0702438i	$0.0223777\pi$
$602$	−41194.7	+	9402.42i	−2.78899	+	0.636568i
$603$	−731.605	+	166.984i	−0.0494084	+	0.0112771i
$604$	12643.7	+	10083.0i	0.851761	+	0.679257i
$605$		−	21996.1i		−	1.47813i
$606$	1786.66	−	2240.40i	0.119766	−	0.150182i
$607$	−674.160	+	845.370i	−0.0450796	+	0.0565280i	−0.803860	−	0.594818i	$-0.797224\pi$
$607$	−674.160	+	845.370i	−0.0450796	+	0.0565280i	0.758781	+	0.651346i	$0.225795\pi$
$608$	−9059.59	+	18812.4i	−0.604301	+	1.25484i
$609$	−26759.6	−	6107.70i	−1.78055	−	0.406398i
$610$	−33406.0			−2.21733
$611$			5281.19i			0.349679i
$612$	−466.846	+	969.415i	−0.0308352	+	0.0640299i
$613$	−12970.0	+	6246.05i	−0.854576	+	0.411542i	−0.809274	−	0.587431i	$-0.800139\pi$
$613$	−12970.0	+	6246.05i	−0.854576	+	0.411542i	−0.0453022	+	0.998973i	$0.514425\pi$
$614$	2011.37	+	8812.39i	0.132202	+	0.579217i
$615$	−19835.9	+	9552.49i	−1.30059	+	0.626331i
$616$	13474.0	+	16895.9i	0.881303	+	1.10512i
$617$	−2306.66	−	1110.83i	−0.150507	−	0.0724803i	0.357114	−	0.934061i	$-0.383761\pi$
$617$	−2306.66	−	1110.83i	−0.150507	−	0.0724803i	−0.507621	+	0.861580i	$0.669475\pi$
$618$	−13273.1	−	10584.9i	−0.863950	−	0.688977i
$619$	4345.34	+	19038.2i	0.282155	+	1.23620i	0.895024	+	0.446017i	$0.147158\pi$
$619$	4345.34	+	19038.2i	0.282155	+	1.23620i	−0.612870	+	0.790184i	$0.709985\pi$
$620$	26163.9	+	114631.i	1.69478	+	7.42534i
$621$	−49.0594	+	101.873i	−0.00317019	+	0.00658296i
$622$	35832.9	−	8178.62i	2.30992	−	0.527223i
$623$	18017.2	−	37413.0i	1.15866	−	2.40597i
$624$	−32498.7			−2.08492
$625$	−3743.70	+	16402.2i	−0.239597	+	1.04974i
$626$	31995.1	+	25515.3i	2.04278	+	1.62907i
$627$	−8014.78			−0.510493
$628$	−4244.59	−	5322.55i	−0.269709	−	0.338205i
$629$	2224.92	−	507.823i	0.141039	−	0.0321911i
$630$	6948.02	+	8712.54i	0.439390	+	0.550978i
$631$	2080.73	+	9116.26i	0.131272	+	0.575139i	0.997187	+	0.0749490i	$0.0238794\pi$
$631$	2080.73	+	9116.26i	0.131272	+	0.575139i	−0.865916	+	0.500190i	$0.833263\pi$
$632$	−42303.2	−	20372.1i	−2.66255	−	1.28222i
$633$	−2716.89	+	11903.5i	−0.170595	+	0.747425i
$634$	−3190.37	−	13977.9i	−0.199851	−	0.875606i
$635$	−21361.7	+	17035.4i	−1.33498	+	1.06461i
$636$	−44395.6	+	35404.3i	−2.76792	+	2.20735i
$637$	10762.0	+	22347.4i	0.669395	+	1.39001i
$638$	7615.55	+	9549.60i	0.472575	+	0.592590i
$639$	1368.28	−	1091.17i	0.0847077	−	0.0675522i
$640$	21984.8	+	10587.3i	1.35785	+	0.653906i
$641$	15611.6	+	12449.9i	0.961969	+	0.767145i	0.972525	−	0.232800i	$-0.0747887\pi$
$641$	15611.6	+	12449.9i	0.961969	+	0.767145i	−0.0105558	+	0.999944i	$0.503360\pi$
$642$	−21205.9	+	26591.4i	−1.30363	+	1.63470i
$643$	20032.8	+	4572.36i	1.22864	+	0.280429i	0.787108	−	0.616815i	$-0.211577\pi$
$643$	20032.8	+	4572.36i	1.22864	+	0.280429i	0.441534	+	0.897245i	$0.354435\pi$
$644$	421.942	−	203.197i	0.0258181	−	0.0124333i
$645$	27416.9	+	13203.3i	1.67370	+	0.806012i
$646$	1798.95	−	7881.69i	0.109564	−	0.480033i
$647$	−4212.36	−	8747.06i	−0.255958	−	0.531503i	0.732905	−	0.680331i	$-0.238164\pi$
$647$	−4212.36	−	8747.06i	−0.255958	−	0.531503i	−0.988863	+	0.148828i	$0.952450\pi$
$648$	41595.8	+	9493.97i	2.52166	+	0.575553i
$649$	−4486.88	−	9317.11i	−0.271380	−	0.563526i
$650$	−13889.3	−	60853.0i	−0.838127	−	3.67208i
$651$	−12023.8	+	52679.9i	−0.723889	+	3.17157i
$652$	6461.95	+	28311.6i	0.388143	+	1.70057i
$653$	16742.1	−	8062.58i	1.00332	−	0.483175i	0.141258	−	0.989973i	$-0.454885\pi$
$653$	16742.1	−	8062.58i	1.00332	−	0.483175i	0.862065	+	0.506798i	$0.169171\pi$
$654$	39053.4	−	48971.4i	2.33503	−	2.92803i
$655$	−8127.88	+	35610.6i	−0.484859	+	2.12431i
$656$	22326.8	−	10752.0i	1.32884	−	0.639934i
$657$	−2730.37	+	623.190i	−0.162134	+	0.0370060i
$658$	−12850.0	+	10247.5i	−0.761316	+	0.607129i
$659$			25700.4i			1.51919i	0.650396	+	0.759596i	$0.274603\pi$
$659$			25700.4i			1.51919i	−0.650396	+	0.759596i	$0.725397\pi$
$660$		−	27775.1i		−	1.63810i
$661$	−14546.6	−	7005.26i	−0.855970	−	0.412214i	−0.0461801	−	0.998933i	$-0.514705\pi$
$661$	−14546.6	−	7005.26i	−0.855970	−	0.412214i	−0.809790	+	0.586720i	$0.800419\pi$
$662$	−5549.84	+	11524.4i	−0.325832	+	0.676596i
$663$	4033.35	−	920.586i	0.236263	−	0.0539255i
$664$	53347.3	−	42543.0i	3.11788	−	2.48643i
$665$	−45470.7	−	36261.6i	−2.65154	−	2.11454i
$666$	1252.27	+	2600.37i	0.0728598	+	0.151295i
$667$	133.631	−	64.3534i	0.00775746	−	0.00373579i
$668$		−	10010.9i		−	0.579842i
$669$	−1003.54	−	800.295i	−0.0579956	−	0.0462499i
$670$	8477.91	+	17604.6i	0.488851	+	1.01511i
$671$	2058.94	+	4275.44i	0.118457	+	0.245978i
$672$	−20733.4	−	25998.8i	−1.19019	−	1.49245i
$673$	16480.3	+	3761.53i	0.943938	+	0.215448i	0.666677	−	0.745347i	$-0.267716\pi$
$673$	16480.3	+	3761.53i	0.943938	+	0.215448i	0.277261	+	0.960795i	$0.410573\pi$
$674$	−22548.6			−1.28863
$675$			32577.2i			1.85763i
$676$	1399.77	+	1755.26i	0.0796411	+	0.0998668i
$677$	−10609.0	−	22029.9i	−0.602273	−	1.25063i	−0.949769	−	0.312951i	$-0.898682\pi$
$677$	−10609.0	−	22029.9i	−0.602273	−	1.25063i	0.347496	−	0.937681i	$-0.387032\pi$
$678$		−	8952.38i		−	0.507100i
$679$	11373.7	−	14262.2i	0.642834	−	0.806088i
$680$	15305.0	+	3493.27i	0.863119	+	0.197001i
$681$	−1744.87	+	2188.00i	−0.0981845	+	0.123120i
$682$	18799.7	−	14992.3i	1.05554	−	0.841764i
$683$	−193.636	−	242.811i	−0.0108481	−	0.0136031i	0.776378	−	0.630268i	$-0.217055\pi$
$683$	−193.636	−	242.811i	−0.0108481	−	0.0136031i	−0.787226	+	0.616665i	$0.788483\pi$
$684$	7101.85			0.396997
$685$	−14926.4	−	11903.4i	−0.832568	−	0.663951i
$686$	−11182.4	+	23220.4i	−0.622369	+	1.29236i
$687$	1937.46	−	2429.50i	0.107596	−	0.134922i
$688$	−30859.7	−	14861.3i	−1.71005	−	0.823518i
$689$	26398.2	+	6025.21i	1.45964	+	0.333152i
$690$	−473.385	−	108.047i	−0.0261181	−	0.00596128i
$691$	4200.05	+	2022.64i	0.231226	+	0.111353i	0.545910	−	0.837844i	$-0.316184\pi$
$691$	4200.05	+	2022.64i	0.231226	+	0.111353i	−0.314684	+	0.949197i	$0.601898\pi$
$692$	15431.5	−	19350.5i	0.847715	−	1.06300i
$693$	686.833	−	1426.22i	0.0376488	−	0.0781786i
$694$	−18733.4	−	14939.4i	−1.02465	−	0.817133i
$695$	−25003.2			−1.36464
$696$	−30489.6	−	38232.7i	−1.66050	−	2.08220i
$697$	−2466.37	+	1966.86i	−0.134032	+	0.106887i
$698$	−19174.6	+	24044.2i	−1.03978	+	1.30385i
$699$	−21539.7	−	4916.30i	−1.16553	−	0.266025i
$700$	84127.4	−	105492.i	4.54245	−	5.69605i
$701$			17802.0i			0.959163i	0.877497	+	0.479582i	$0.159212\pi$
$701$			17802.0i			0.959163i	−0.877497	+	0.479582i	$0.840788\pi$
$702$	−13764.8	−	28582.9i	−0.740055	−	1.53674i
$703$	−9391.65	−	11776.8i	−0.503859	−	0.631819i
$704$			1052.99i			0.0563723i
$705$	11836.7			0.632333
$706$	3627.87	+	828.037i	0.193395	+	0.0441411i
$707$	−1841.68	−	2309.40i	−0.0979684	−	0.122849i
$708$	32058.6	+	66570.3i	1.70174	+	3.53371i
$709$	−5866.36	−	12181.6i	−0.310741	−	0.645261i	0.685851	−	0.727742i	$-0.259430\pi$
$709$	−5866.36	−	12181.6i	−0.310741	−	0.645261i	−0.996593	+	0.0824805i	$0.973716\pi$
$710$	−35627.5	−	28412.0i	−1.88321	−	1.50181i
$711$			3439.33i			0.181413i
$712$	66655.8	−	32099.8i	3.50847	−	1.68959i
$713$	−126.689	−	263.072i	−0.00665431	−	0.0138178i
$714$	10066.2	+	8027.53i	0.527617	+	0.420760i
$715$	−10354.8	+	8257.70i	−0.541607	+	0.431917i
$716$	−76094.2	+	17368.0i	−3.97175	+	0.906527i
$717$	4614.26	−	9581.61i	0.240338	−	0.499068i
$718$	−59817.2	−	28806.4i	−3.10913	−	1.49728i
$719$		−	27741.8i		−	1.43894i	−0.694526	−	0.719468i	$-0.744386\pi$
$719$		−	27741.8i		−	1.43894i	0.694526	−	0.719468i	$-0.255614\pi$
$720$			9033.27i			0.467570i
$721$	−13681.8	+	10910.9i	−0.706710	+	0.563582i
$722$	−17797.0	+	4062.06i	−0.917364	+	0.209382i
$723$	−16620.2	+	8003.86i	−0.854926	+	0.411711i
$724$	7169.34	−	31410.9i	0.368020	−	1.61240i
$725$	26643.6	−	33410.0i	1.36485	−	1.71147i
$726$	28957.5	−	13945.2i	1.48032	−	0.712885i
$727$	−747.477	−	3274.91i	−0.0381326	−	0.167070i	0.952276	−	0.305238i	$-0.0987359\pi$
$727$	−747.477	−	3274.91i	−0.0381326	−	0.167070i	−0.990409	+	0.138168i	$0.955879\pi$
$728$	−16383.7	+	71781.6i	−0.834093	+	3.65440i
$729$	3596.65	+	15758.0i	0.182729	+	0.800588i
$730$	31639.8	+	65700.8i	1.60417	+	3.33109i
$731$	4250.91	+	970.243i	0.215083	+	0.0490913i
$732$	−14711.1	−	30547.8i	−0.742809	−	1.54246i
$733$	−5618.44	+	24616.0i	−0.283113	+	1.24040i	0.610665	+	0.791889i	$0.290902\pi$
$733$	−5618.44	+	24616.0i	−0.283113	+	1.24040i	−0.893778	+	0.448509i	$0.851955\pi$
$734$	−15614.7	−	7519.66i	−0.785218	−	0.378141i
$735$	50087.1	−	24120.7i	2.51359	−	1.21048i
$736$	175.188	+	39.9856i	0.00877381	+	0.00200256i
$737$	1730.58	−	2170.07i	0.0864947	−	0.108461i
$738$	−3119.20	−	2487.48i	−0.155582	−	0.124072i
$739$	−7826.15	−	3768.88i	−0.389567	−	0.187605i	0.228839	−	0.973464i	$-0.426507\pi$
$739$	−7826.15	−	3768.88i	−0.389567	−	0.187605i	−0.618406	+	0.785859i	$0.712221\pi$
$740$	40812.2	−	32546.6i	2.02741	−	1.61681i
$741$	−17025.3	−	21349.0i	−0.844048	−	1.05840i
$742$	36562.3	+	75922.4i	1.80895	+	3.75633i
$743$	7727.37	−	6162.37i	0.381548	−	0.304274i	−0.413870	−	0.910336i	$-0.635823\pi$
$743$	7727.37	−	6162.37i	0.381548	−	0.304274i	0.795417	+	0.606062i	$0.207252\pi$
$744$	−75266.4	+	60022.9i	−3.70887	+	2.95772i
$745$	5797.31	+	25399.7i	0.285096	+	1.24909i
$746$	5095.04	−	22322.8i	0.250057	−	1.09557i
$747$	−4503.18	−	2168.62i	−0.220566	−	0.106219i
$748$	−885.581	−	3879.98i	−0.0432888	−	0.189661i
$749$	21859.0	+	27410.3i	1.06637	+	1.33718i
$750$	−69048.6	+	15759.9i	−3.36173	+	0.767293i
$751$	−612.748	−	768.362i	−0.0297730	−	0.0373341i	0.766722	−	0.641979i	$-0.221886\pi$
$751$	−612.748	−	768.362i	−0.0297730	−	0.0373341i	−0.796495	+	0.604645i	$0.793315\pi$
$752$	−13323.1			−0.646067
$753$	−26639.6	−	21244.3i	−1.28924	−	1.02814i
$754$	−9260.12	+	40571.2i	−0.447260	+	1.95957i
$755$	−17283.5			−0.833128
$756$	29755.6	−	61788.1i	1.43148	−	2.97250i
$757$	−23838.1	+	5440.88i	−1.14453	+	0.261231i	−0.752418	−	0.658686i	$-0.771113\pi$
$757$	−23838.1	+	5440.88i	−1.14453	+	0.261231i	−0.392112	+	0.919918i	$0.628255\pi$
$758$	−17179.7	+	35674.1i	−0.823214	+	1.70942i
$759$	15.3483	+	67.2451i	0.000734001	+	0.00321587i
$760$	−23057.1	−	101020.i	−1.10048	−	4.82154i
$761$	3585.59	+	2859.41i	0.170798	+	0.136207i	0.705158	−	0.709050i	$-0.250876\pi$
$761$	3585.59	+	2859.41i	0.170798	+	0.136207i	−0.534360	+	0.845257i	$0.679447\pi$
$762$	−35969.9	−	17322.2i	−1.71004	−	0.823513i
$763$	−40256.1	−	50479.5i	−1.91005	−	2.39513i
$764$	−2073.23	+	998.413i	−0.0981763	+	0.0472792i
$765$	−255.884	−	1121.10i	−0.0120935	−	0.0529850i
$766$	−20980.7	+	10103.8i	−0.989639	+	0.476585i
$767$	15286.9	−	31743.5i	0.71

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:	\( N \)	\(=\)	\( 197 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	197.e (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-4.98986 + 1.13890i) q^{2} +(5.41261 + 1.23539i) q^{3} +(16.3939 - 7.89487i) q^{4} +(-8.43757 + 17.5208i) q^{5} -28.4152 q^{6} +(-6.51769 + 28.5559i) q^{7} +(-40.7992 + 32.5362i) q^{8} +(3.44396 + 1.65853i) q^{9} +O(q^{10})\)	\(q+(-4.98986 + 1.13890i) q^{2} +(5.41261 + 1.23539i) q^{3} +(16.3939 - 7.89487i) q^{4} +(-8.43757 + 17.5208i) q^{5} -28.4152 q^{6} +(-6.51769 + 28.5559i) q^{7} +(-40.7992 + 32.5362i) q^{8} +(3.44396 + 1.65853i) q^{9} +(22.1478 - 97.0359i) q^{10} +(-13.7841 + 3.14613i) q^{11} +(98.4868 - 22.4790i) q^{12} +(-37.6611 - 30.0337i) q^{13} -149.913i q^{14} +(-67.3143 + 84.4094i) q^{15} +(75.7673 - 95.0092i) q^{16} +(-6.71202 + 13.9376i) q^{17} +(-19.0738 - 4.35347i) q^{18} +102.106 q^{19} +353.847i q^{20} +(-70.5554 + 146.510i) q^{21} +(65.1976 - 31.3975i) q^{22} +(-0.195533 - 0.856684i) q^{23} +(-261.025 + 125.703i) q^{24} +(-157.849 - 197.937i) q^{25} +(222.129 + 106.972i) q^{26} +(-100.604 - 80.2287i) q^{27} +(118.595 + 519.597i) q^{28} +(37.5596 + 164.559i) q^{29} +(239.755 - 497.856i) q^{30} +(323.958 - 73.9412i) q^{31} +(-88.7273 + 184.244i) q^{32} -78.4947 q^{33} +(17.6184 - 77.1913i) q^{34} +(-445.328 - 355.137i) q^{35} +69.5537 q^{36} +(-91.9794 - 115.339i) q^{37} +(-509.495 + 116.289i) q^{38} +(-166.741 - 209.087i) q^{39} +(-225.815 - 989.360i) q^{40} +(183.728 + 88.4787i) q^{41} +(185.201 - 811.419i) q^{42} +(-62.7192 - 274.791i) q^{43} +(-201.136 + 160.401i) q^{44} +(-58.1174 + 46.3470i) q^{45} +(1.95136 + 4.05204i) q^{46} +(-68.3567 - 85.7166i) q^{47} +(527.472 - 420.645i) q^{48} +(-463.925 - 223.415i) q^{49} +(1013.08 + 807.902i) q^{50} +(-53.5480 + 67.1470i) q^{51} +(-854.523 - 195.039i) q^{52} +(-506.443 + 243.890i) q^{53} +(593.371 + 285.752i) q^{54} +(61.1816 - 268.054i) q^{55} +(-663.185 - 1377.12i) q^{56} +(552.660 + 126.141i) q^{57} +(-374.834 - 778.352i) q^{58} +(162.756 + 713.079i) q^{59} +(-437.140 + 1915.23i) q^{60} +(-74.6854 - 327.218i) q^{61} +(-1532.29 + 737.913i) q^{62} +(-69.8073 + 87.5356i) q^{63} +(16.5726 - 72.6091i) q^{64} +(843.983 - 406.441i) q^{65} +(391.677 - 89.3978i) q^{66} +(-153.486 + 122.401i) q^{67} +281.482i q^{68} -4.87846i q^{69} +(2626.59 + 1264.90i) q^{70} +(198.649 - 412.498i) q^{71} +(-194.473 + 44.3872i) q^{72} +(-572.814 + 456.804i) q^{73} +(590.324 + 470.768i) q^{74} +(-609.847 - 1266.36i) q^{75} +(1673.91 - 806.114i) q^{76} -414.123i q^{77} +(1070.15 + 853.413i) q^{78} +(390.390 + 810.653i) q^{79} +(1025.34 + 2129.15i) q^{80} +(-509.763 - 639.222i) q^{81} +(-1017.55 - 232.248i) q^{82} -1307.56 q^{83} +2958.89i q^{84} +(-187.566 - 235.200i) q^{85} +(625.921 + 1299.74i) q^{86} +937.096i q^{87} +(460.017 - 576.843i) q^{88} +(-1382.17 - 315.472i) q^{89} +(237.213 - 297.455i) q^{90} +(1103.10 - 879.695i) q^{91} +(-9.96895 - 12.5007i) q^{92} +1844.80 q^{93} +(438.713 + 349.862i) q^{94} +(-861.526 + 1788.98i) q^{95} +(-707.860 + 887.628i) q^{96} +(-561.127 - 270.224i) q^{97} +(2569.37 + 586.442i) q^{98} +(-52.6899 - 12.0261i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 288 q - 7 q^{2} - 7 q^{3} + 159 q^{4} - 7 q^{5} + 26 q^{6} - 53 q^{7} + 49 q^{8} + 391 q^{9}+O(q^{10}) \) 288 * q - 7 * q^2 - 7 * q^3 + 159 * q^4 - 7 * q^5 + 26 * q^6 - 53 * q^7 + 49 * q^8 + 391 * q^9	\( 288 q - 7 q^{2} - 7 q^{3} + 159 q^{4} - 7 q^{5} + 26 q^{6} - 53 q^{7} + 49 q^{8} + 391 q^{9} + 149 q^{10} + 91 q^{11} - 63 q^{12} - 7 q^{13} - 473 q^{15} - 1113 q^{16} - 7 q^{17} - 196 q^{18} + 464 q^{19} - 7 q^{21} + 807 q^{22} + 413 q^{23} - 1425 q^{24} + 1195 q^{25} - 543 q^{26} + 455 q^{27} + 174 q^{28} - 906 q^{29} + 798 q^{30} + 917 q^{31} + 945 q^{32} + 894 q^{33} - 219 q^{34} - 7 q^{35} + 3250 q^{36} + 1734 q^{37} - 63 q^{38} - 825 q^{39} + 141 q^{40} + 563 q^{41} + 432 q^{42} - 423 q^{43} + 2149 q^{44} - 3808 q^{45} - 2569 q^{46} - 289 q^{47} - 3703 q^{48} - 3747 q^{49} - 4963 q^{50} - 87 q^{51} + 3654 q^{52} - 1573 q^{53} - 1228 q^{54} + 2825 q^{55} + 98 q^{56} - 518 q^{57} - 5103 q^{58} + 2045 q^{59} + 3375 q^{60} + 287 q^{61} - 2547 q^{62} + 1453 q^{63} + 6475 q^{64} + 1268 q^{65} + 4634 q^{66} - 3577 q^{67} - 814 q^{70} - 273 q^{71} - 1008 q^{72} - 679 q^{73} - 315 q^{74} - 1281 q^{75} + 6078 q^{76} + 4739 q^{78} + 1463 q^{79} + 441 q^{80} - 4427 q^{81} - 7 q^{82} + 4900 q^{83} - 3351 q^{85} + 3472 q^{86} + 3738 q^{88} + 147 q^{89} + 7133 q^{90} - 14133 q^{91} - 803 q^{92} - 4894 q^{93} - 7833 q^{94} - 7700 q^{95} - 16450 q^{96} + 1233 q^{97} - 2030 q^{98} + 2464 q^{99}+O(q^{100}) \) 288 * q - 7 * q^2 - 7 * q^3 + 159 * q^4 - 7 * q^5 + 26 * q^6 - 53 * q^7 + 49 * q^8 + 391 * q^9 + 149 * q^10 + 91 * q^11 - 63 * q^12 - 7 * q^13 - 473 * q^15 - 1113 * q^16 - 7 * q^17 - 196 * q^18 + 464 * q^19 - 7 * q^21 + 807 * q^22 + 413 * q^23 - 1425 * q^24 + 1195 * q^25 - 543 * q^26 + 455 * q^27 + 174 * q^28 - 906 * q^29 + 798 * q^30 + 917 * q^31 + 945 * q^32 + 894 * q^33 - 219 * q^34 - 7 * q^35 + 3250 * q^36 + 1734 * q^37 - 63 * q^38 - 825 * q^39 + 141 * q^40 + 563 * q^41 + 432 * q^42 - 423 * q^43 + 2149 * q^44 - 3808 * q^45 - 2569 * q^46 - 289 * q^47 - 3703 * q^48 - 3747 * q^49 - 4963 * q^50 - 87 * q^51 + 3654 * q^52 - 1573 * q^53 - 1228 * q^54 + 2825 * q^55 + 98 * q^56 - 518 * q^57 - 5103 * q^58 + 2045 * q^59 + 3375 * q^60 + 287 * q^61 - 2547 * q^62 + 1453 * q^63 + 6475 * q^64 + 1268 * q^65 + 4634 * q^66 - 3577 * q^67 - 814 * q^70 - 273 * q^71 - 1008 * q^72 - 679 * q^73 - 315 * q^74 - 1281 * q^75 + 6078 * q^76 + 4739 * q^78 + 1463 * q^79 + 441 * q^80 - 4427 * q^81 - 7 * q^82 + 4900 * q^83 - 3351 * q^85 + 3472 * q^86 + 3738 * q^88 + 147 * q^89 + 7133 * q^90 - 14133 * q^91 - 803 * q^92 - 4894 * q^93 - 7833 * q^94 - 7700 * q^95 - 16450 * q^96 + 1233 * q^97 - 2030 * q^98 + 2464 * q^99

Introduction

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