Properties

Label 108.3.j.a.31.14
Level 108
Weight 3
Character 108.31
Analytic conductor 2.943
Analytic rank 0
Dimension 204
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 108 = 2^{2} \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 108.j (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.94278685509\)
Analytic rank: \(0\)
Dimension: \(204\)
Relative dimension: \(34\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 31.14
Character \(\chi\) \(=\) 108.31
Dual form 108.3.j.a.7.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.974385 + 1.74659i) q^{2} +(-0.586935 - 2.94202i) q^{3} +(-2.10115 - 3.40370i) q^{4} +(-1.26933 + 7.19876i) q^{5} +(5.71041 + 1.84153i) q^{6} +(-2.67622 - 3.18940i) q^{7} +(7.99219 - 0.353324i) q^{8} +(-8.31101 + 3.45355i) q^{9} +O(q^{10})\) \(q+(-0.974385 + 1.74659i) q^{2} +(-0.586935 - 2.94202i) q^{3} +(-2.10115 - 3.40370i) q^{4} +(-1.26933 + 7.19876i) q^{5} +(5.71041 + 1.84153i) q^{6} +(-2.67622 - 3.18940i) q^{7} +(7.99219 - 0.353324i) q^{8} +(-8.31101 + 3.45355i) q^{9} +(-11.3364 - 9.23137i) q^{10} +(-18.4141 + 3.24691i) q^{11} +(-8.78054 + 8.17938i) q^{12} +(-15.1228 + 5.50426i) q^{13} +(8.17823 - 1.56656i) q^{14} +(21.9239 - 0.490788i) q^{15} +(-7.17036 + 14.3034i) q^{16} +(7.49839 - 12.9876i) q^{17} +(2.06619 - 17.8810i) q^{18} +(0.338254 - 0.195291i) q^{19} +(27.1695 - 10.8052i) q^{20} +(-7.81251 + 9.74547i) q^{21} +(12.2714 - 35.3257i) q^{22} +(-10.6620 + 12.7065i) q^{23} +(-5.73039 - 23.3059i) q^{24} +(-26.7186 - 9.72476i) q^{25} +(5.12179 - 31.7767i) q^{26} +(15.0385 + 22.4242i) q^{27} +(-5.23262 + 15.8104i) q^{28} +(36.9589 + 13.4520i) q^{29} +(-20.5052 + 38.7703i) q^{30} +(14.0094 - 16.6957i) q^{31} +(-17.9954 - 26.4607i) q^{32} +(20.3604 + 52.2691i) q^{33} +(15.3777 + 25.7515i) q^{34} +(26.3567 - 15.2170i) q^{35} +(29.2175 + 21.0318i) q^{36} +(5.57476 - 9.65577i) q^{37} +(0.0115035 + 0.781080i) q^{38} +(25.0698 + 41.2611i) q^{39} +(-7.60128 + 57.9823i) q^{40} +(-56.8435 + 20.6894i) q^{41} +(-9.40894 - 23.1411i) q^{42} +(-24.4766 + 4.31589i) q^{43} +(49.7423 + 55.8540i) q^{44} +(-14.3118 - 64.2127i) q^{45} +(-11.8041 - 31.0032i) q^{46} +(14.6599 + 17.4709i) q^{47} +(46.2893 + 12.7002i) q^{48} +(5.49867 - 31.1845i) q^{49} +(43.0193 - 37.1907i) q^{50} +(-42.6109 - 14.4376i) q^{51} +(50.5102 + 39.9084i) q^{52} +51.2309 q^{53} +(-53.8191 + 4.41622i) q^{54} -136.680i q^{55} +(-22.5158 - 24.5447i) q^{56} +(-0.773085 - 0.880529i) q^{57} +(-59.5073 + 51.4447i) q^{58} +(-82.3895 - 14.5275i) q^{59} +(-47.7359 - 73.5913i) q^{60} +(19.0252 - 15.9640i) q^{61} +(15.5101 + 40.7367i) q^{62} +(33.2569 + 17.2646i) q^{63} +(63.7503 - 5.64767i) q^{64} +(-20.4279 - 115.852i) q^{65} +(-111.131 - 15.3690i) q^{66} +(17.9869 + 49.4186i) q^{67} +(-59.9611 + 1.76656i) q^{68} +(43.6407 + 23.9100i) q^{69} +(0.896351 + 60.8616i) q^{70} +(-75.5843 - 43.6386i) q^{71} +(-65.2030 + 30.5380i) q^{72} +(17.8942 + 30.9937i) q^{73} +(11.4327 + 19.1453i) q^{74} +(-12.9284 + 84.3145i) q^{75} +(-1.37543 - 0.740981i) q^{76} +(59.6359 + 50.0405i) q^{77} +(-96.4939 + 3.58242i) q^{78} +(3.59582 - 9.87943i) q^{79} +(-93.8648 - 69.7734i) q^{80} +(57.1459 - 57.4051i) q^{81} +(19.2517 - 119.442i) q^{82} +(-34.4827 + 94.7405i) q^{83} +(49.5859 + 6.11478i) q^{84} +(83.9766 + 70.4647i) q^{85} +(16.3116 - 46.9559i) q^{86} +(17.8835 - 116.630i) q^{87} +(-146.022 + 32.4561i) q^{88} +(-7.29925 - 12.6427i) q^{89} +(126.098 + 37.5710i) q^{90} +(58.0273 + 33.5021i) q^{91} +(65.6516 + 9.59210i) q^{92} +(-57.3419 - 31.4166i) q^{93} +(-44.7989 + 8.58133i) q^{94} +(0.976496 + 2.68290i) q^{95} +(-67.2858 + 68.4735i) q^{96} +(-1.45511 - 8.25233i) q^{97} +(49.1087 + 39.9897i) q^{98} +(141.827 - 90.5793i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 204q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 3q^{8} - 12q^{9} + O(q^{10}) \) \( 204q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 3q^{8} - 12q^{9} - 3q^{10} + 39q^{12} - 12q^{13} + 39q^{14} - 6q^{16} - 6q^{17} - 27q^{18} - 69q^{20} - 12q^{21} - 6q^{22} - 138q^{24} - 12q^{25} - 174q^{26} - 12q^{28} + 60q^{29} - 153q^{30} - 96q^{32} + 48q^{33} + 6q^{34} + 24q^{36} - 6q^{37} + 72q^{38} + 69q^{40} - 192q^{41} - 126q^{42} - 219q^{44} - 132q^{45} - 3q^{46} - 219q^{48} - 12q^{49} - 165q^{50} + 21q^{52} - 24q^{53} + 78q^{54} + 99q^{56} - 150q^{57} - 141q^{58} + 210q^{60} - 12q^{61} + 294q^{62} - 3q^{64} - 156q^{65} + 393q^{66} + 375q^{68} - 60q^{69} - 165q^{70} + 228q^{72} - 6q^{73} + 447q^{74} - 54q^{76} + 132q^{77} + 750q^{78} + 798q^{80} + 228q^{81} - 12q^{82} + 762q^{84} + 138q^{85} + 606q^{86} - 198q^{88} - 114q^{89} + 894q^{90} + 723q^{92} - 1020q^{93} - 357q^{94} + 474q^{96} + 168q^{97} + 510q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(55\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.974385 + 1.74659i −0.487193 + 0.873295i
\(3\) −0.586935 2.94202i −0.195645 0.980675i
\(4\) −2.10115 3.40370i −0.525287 0.850925i
\(5\) −1.26933 + 7.19876i −0.253867 + 1.43975i 0.545097 + 0.838373i \(0.316493\pi\)
−0.798964 + 0.601378i \(0.794618\pi\)
\(6\) 5.71041 + 1.84153i 0.951735 + 0.306922i
\(7\) −2.67622 3.18940i −0.382317 0.455628i 0.540227 0.841519i \(-0.318338\pi\)
−0.922544 + 0.385891i \(0.873894\pi\)
\(8\) 7.99219 0.353324i 0.999024 0.0441655i
\(9\) −8.31101 + 3.45355i −0.923446 + 0.383728i
\(10\) −11.3364 9.23137i −1.13364 0.923137i
\(11\) −18.4141 + 3.24691i −1.67401 + 0.295173i −0.928504 0.371323i \(-0.878904\pi\)
−0.745508 + 0.666497i \(0.767793\pi\)
\(12\) −8.78054 + 8.17938i −0.731711 + 0.681615i
\(13\) −15.1228 + 5.50426i −1.16330 + 0.423405i −0.850274 0.526341i \(-0.823564\pi\)
−0.313022 + 0.949746i \(0.601341\pi\)
\(14\) 8.17823 1.56656i 0.584160 0.111897i
\(15\) 21.9239 0.490788i 1.46160 0.0327192i
\(16\) −7.17036 + 14.3034i −0.448148 + 0.893960i
\(17\) 7.49839 12.9876i 0.441082 0.763976i −0.556688 0.830722i \(-0.687928\pi\)
0.997770 + 0.0667452i \(0.0212615\pi\)
\(18\) 2.06619 17.8810i 0.114788 0.993390i
\(19\) 0.338254 0.195291i 0.0178029 0.0102785i −0.491072 0.871119i \(-0.663395\pi\)
0.508875 + 0.860840i \(0.330062\pi\)
\(20\) 27.1695 10.8052i 1.35847 0.540260i
\(21\) −7.81251 + 9.74547i −0.372024 + 0.464070i
\(22\) 12.2714 35.3257i 0.557793 1.60571i
\(23\) −10.6620 + 12.7065i −0.463566 + 0.552456i −0.946291 0.323316i \(-0.895202\pi\)
0.482725 + 0.875772i \(0.339647\pi\)
\(24\) −5.73039 23.3059i −0.238766 0.971077i
\(25\) −26.7186 9.72476i −1.06874 0.388990i
\(26\) 5.12179 31.7767i 0.196992 1.22218i
\(27\) 15.0385 + 22.4242i 0.556980 + 0.830526i
\(28\) −5.23262 + 15.8104i −0.186879 + 0.564659i
\(29\) 36.9589 + 13.4520i 1.27445 + 0.463861i 0.888592 0.458699i \(-0.151684\pi\)
0.385855 + 0.922560i \(0.373907\pi\)
\(30\) −20.5052 + 38.7703i −0.683505 + 1.29234i
\(31\) 14.0094 16.6957i 0.451916 0.538572i −0.491196 0.871049i \(-0.663440\pi\)
0.943111 + 0.332477i \(0.107884\pi\)
\(32\) −17.9954 26.4607i −0.562356 0.826895i
\(33\) 20.3604 + 52.2691i 0.616981 + 1.58391i
\(34\) 15.3777 + 25.7515i 0.452285 + 0.757398i
\(35\) 26.3567 15.2170i 0.753049 0.434773i
\(36\) 29.2175 + 21.0318i 0.811598 + 0.584216i
\(37\) 5.57476 9.65577i 0.150669 0.260967i −0.780804 0.624776i \(-0.785190\pi\)
0.931474 + 0.363809i \(0.118524\pi\)
\(38\) 0.0115035 + 0.781080i 0.000302724 + 0.0205547i
\(39\) 25.0698 + 41.2611i 0.642815 + 1.05798i
\(40\) −7.60128 + 57.9823i −0.190032 + 1.44956i
\(41\) −56.8435 + 20.6894i −1.38643 + 0.504618i −0.924120 0.382101i \(-0.875200\pi\)
−0.462307 + 0.886720i \(0.652978\pi\)
\(42\) −9.40894 23.1411i −0.224022 0.550978i
\(43\) −24.4766 + 4.31589i −0.569224 + 0.100369i −0.450850 0.892600i \(-0.648879\pi\)
−0.118374 + 0.992969i \(0.537768\pi\)
\(44\) 49.7423 + 55.8540i 1.13051 + 1.26941i
\(45\) −14.3118 64.2127i −0.318041 1.42695i
\(46\) −11.8041 31.0032i −0.256611 0.673982i
\(47\) 14.6599 + 17.4709i 0.311912 + 0.371722i 0.899111 0.437720i \(-0.144214\pi\)
−0.587199 + 0.809442i \(0.699769\pi\)
\(48\) 46.2893 + 12.7002i 0.964361 + 0.264588i
\(49\) 5.49867 31.1845i 0.112218 0.636419i
\(50\) 43.0193 37.1907i 0.860387 0.743814i
\(51\) −42.6109 14.4376i −0.835508 0.283090i
\(52\) 50.5102 + 39.9084i 0.971350 + 0.767469i
\(53\) 51.2309 0.966621 0.483310 0.875449i \(-0.339434\pi\)
0.483310 + 0.875449i \(0.339434\pi\)
\(54\) −53.8191 + 4.41622i −0.996650 + 0.0817818i
\(55\) 136.680i 2.48510i
\(56\) −22.5158 24.5447i −0.402067 0.438298i
\(57\) −0.773085 0.880529i −0.0135629 0.0154479i
\(58\) −59.5073 + 51.4447i −1.02599 + 0.886978i
\(59\) −82.3895 14.5275i −1.39643 0.246229i −0.575755 0.817622i \(-0.695292\pi\)
−0.820676 + 0.571394i \(0.806403\pi\)
\(60\) −47.7359 73.5913i −0.795598 1.22652i
\(61\) 19.0252 15.9640i 0.311888 0.261705i −0.473384 0.880856i \(-0.656968\pi\)
0.785272 + 0.619151i \(0.212523\pi\)
\(62\) 15.5101 + 40.7367i 0.250162 + 0.657044i
\(63\) 33.2569 + 17.2646i 0.527887 + 0.274042i
\(64\) 63.7503 5.64767i 0.996099 0.0882448i
\(65\) −20.4279 115.852i −0.314275 1.78234i
\(66\) −111.131 15.3690i −1.68381 0.232864i
\(67\) 17.9869 + 49.4186i 0.268461 + 0.737592i 0.998529 + 0.0542169i \(0.0172663\pi\)
−0.730068 + 0.683375i \(0.760512\pi\)
\(68\) −59.9611 + 1.76656i −0.881781 + 0.0259789i
\(69\) 43.6407 + 23.9100i 0.632474 + 0.346522i
\(70\) 0.896351 + 60.8616i 0.0128050 + 0.869451i
\(71\) −75.5843 43.6386i −1.06457 0.614628i −0.137875 0.990450i \(-0.544027\pi\)
−0.926692 + 0.375821i \(0.877361\pi\)
\(72\) −65.2030 + 30.5380i −0.905597 + 0.424138i
\(73\) 17.8942 + 30.9937i 0.245127 + 0.424572i 0.962167 0.272460i \(-0.0878372\pi\)
−0.717041 + 0.697031i \(0.754504\pi\)
\(74\) 11.4327 + 19.1453i 0.154496 + 0.258720i
\(75\) −12.9284 + 84.3145i −0.172379 + 1.12419i
\(76\) −1.37543 0.740981i −0.0180978 0.00974975i
\(77\) 59.6359 + 50.0405i 0.774493 + 0.649877i
\(78\) −96.4939 + 3.58242i −1.23710 + 0.0459284i
\(79\) 3.59582 9.87943i 0.0455167 0.125056i −0.914852 0.403790i \(-0.867693\pi\)
0.960368 + 0.278734i \(0.0899148\pi\)
\(80\) −93.8648 69.7734i −1.17331 0.872168i
\(81\) 57.1459 57.4051i 0.705505 0.708705i
\(82\) 19.2517 119.442i 0.234777 1.45661i
\(83\) −34.4827 + 94.7405i −0.415455 + 1.14145i 0.538794 + 0.842438i \(0.318880\pi\)
−0.954249 + 0.299015i \(0.903342\pi\)
\(84\) 49.5859 + 6.11478i 0.590309 + 0.0727950i
\(85\) 83.9766 + 70.4647i 0.987960 + 0.828997i
\(86\) 16.3116 46.9559i 0.189669 0.545999i
\(87\) 17.8835 116.630i 0.205557 1.34057i
\(88\) −146.022 + 32.4561i −1.65934 + 0.368819i
\(89\) −7.29925 12.6427i −0.0820141 0.142053i 0.822101 0.569342i \(-0.192802\pi\)
−0.904115 + 0.427289i \(0.859469\pi\)
\(90\) 126.098 + 37.5710i 1.40109 + 0.417456i
\(91\) 58.0273 + 33.5021i 0.637663 + 0.368155i
\(92\) 65.6516 + 9.59210i 0.713604 + 0.104262i
\(93\) −57.3419 31.4166i −0.616579 0.337813i
\(94\) −44.7989 + 8.58133i −0.476584 + 0.0912907i
\(95\) 0.976496 + 2.68290i 0.0102789 + 0.0282411i
\(96\) −67.2858 + 68.4735i −0.700893 + 0.713266i
\(97\) −1.45511 8.25233i −0.0150011 0.0850755i 0.976388 0.216024i \(-0.0693089\pi\)
−0.991389 + 0.130948i \(0.958198\pi\)
\(98\) 49.1087 + 39.9897i 0.501109 + 0.408058i
\(99\) 141.827 90.5793i 1.43259 0.914942i
\(100\) 23.0394 + 111.375i 0.230394 + 1.11375i
\(101\) −110.882 + 93.0413i −1.09784 + 0.921201i −0.997278 0.0737291i \(-0.976510\pi\)
−0.100567 + 0.994930i \(0.532066\pi\)
\(102\) 66.7360 60.3560i 0.654274 0.591725i
\(103\) 3.58880 + 0.632802i 0.0348427 + 0.00614371i 0.191042 0.981582i \(-0.438813\pi\)
−0.156200 + 0.987726i \(0.549924\pi\)
\(104\) −118.920 + 49.3344i −1.14346 + 0.474369i
\(105\) −60.2386 68.6106i −0.573701 0.653435i
\(106\) −49.9186 + 89.4793i −0.470931 + 0.844145i
\(107\) 118.520i 1.10766i 0.832629 + 0.553831i \(0.186835\pi\)
−0.832629 + 0.553831i \(0.813165\pi\)
\(108\) 44.7272 98.3030i 0.414141 0.910213i
\(109\) −209.035 −1.91775 −0.958874 0.283830i \(-0.908395\pi\)
−0.958874 + 0.283830i \(0.908395\pi\)
\(110\) 238.724 + 133.179i 2.17022 + 1.21072i
\(111\) −31.6795 10.7338i −0.285401 0.0967007i
\(112\) 64.8085 15.4098i 0.578648 0.137588i
\(113\) −19.3433 + 109.701i −0.171180 + 0.970810i 0.771281 + 0.636494i \(0.219616\pi\)
−0.942461 + 0.334315i \(0.891495\pi\)
\(114\) 2.29121 0.492287i 0.0200983 0.00431831i
\(115\) −77.9373 92.8820i −0.677715 0.807670i
\(116\) −31.8697 154.062i −0.274739 1.32812i
\(117\) 106.677 97.9736i 0.911768 0.837381i
\(118\) 105.653 129.745i 0.895361 1.09954i
\(119\) −61.4899 + 10.8423i −0.516722 + 0.0911121i
\(120\) 175.047 11.6687i 1.45872 0.0972394i
\(121\) 214.835 78.1935i 1.77549 0.646227i
\(122\) 9.34474 + 48.7843i 0.0765962 + 0.399871i
\(123\) 94.2320 + 155.092i 0.766114 + 1.26091i
\(124\) −86.2631 12.6036i −0.695670 0.101642i
\(125\) 12.5484 21.7345i 0.100387 0.173876i
\(126\) −62.5592 + 41.2637i −0.496502 + 0.327489i
\(127\) −9.25406 + 5.34284i −0.0728666 + 0.0420696i −0.535991 0.844224i \(-0.680062\pi\)
0.463124 + 0.886293i \(0.346728\pi\)
\(128\) −52.2532 + 116.849i −0.408228 + 0.912880i
\(129\) 27.0636 + 69.4777i 0.209796 + 0.538586i
\(130\) 222.251 + 77.2057i 1.70962 + 0.593890i
\(131\) 41.0569 48.9297i 0.313411 0.373509i −0.586226 0.810148i \(-0.699387\pi\)
0.899637 + 0.436639i \(0.143831\pi\)
\(132\) 135.128 179.126i 1.02370 1.35701i
\(133\) −1.52810 0.556184i −0.0114895 0.00418184i
\(134\) −103.840 16.7370i −0.774927 0.124903i
\(135\) −180.515 + 79.7944i −1.33715 + 0.591070i
\(136\) 55.3398 106.449i 0.406910 0.782712i
\(137\) −179.780 65.4345i −1.31226 0.477624i −0.411291 0.911504i \(-0.634922\pi\)
−0.900971 + 0.433880i \(0.857144\pi\)
\(138\) −84.2838 + 52.9248i −0.610753 + 0.383513i
\(139\) 89.1108 106.198i 0.641085 0.764015i −0.343456 0.939169i \(-0.611598\pi\)
0.984541 + 0.175153i \(0.0560421\pi\)
\(140\) −107.174 57.7371i −0.765526 0.412408i
\(141\) 42.7956 53.3840i 0.303515 0.378610i
\(142\) 149.867 89.4939i 1.05540 0.630239i
\(143\) 260.602 150.459i 1.82239 1.05216i
\(144\) 10.1956 143.639i 0.0708027 0.997490i
\(145\) −143.751 + 248.983i −0.991384 + 1.71713i
\(146\) −71.5692 + 1.05405i −0.490200 + 0.00721951i
\(147\) −94.9730 + 2.12606i −0.646075 + 0.0144630i
\(148\) −44.5788 + 1.31337i −0.301208 + 0.00887412i
\(149\) 56.2932 20.4890i 0.377806 0.137510i −0.146135 0.989265i \(-0.546683\pi\)
0.523941 + 0.851754i \(0.324461\pi\)
\(150\) −134.665 104.735i −0.897770 0.698236i
\(151\) −69.7855 + 12.3051i −0.462156 + 0.0814905i −0.399878 0.916568i \(-0.630948\pi\)
−0.0622775 + 0.998059i \(0.519836\pi\)
\(152\) 2.63439 1.68032i 0.0173315 0.0110547i
\(153\) −17.4659 + 133.836i −0.114156 + 0.874747i
\(154\) −145.509 + 55.4008i −0.944861 + 0.359745i
\(155\) 102.406 + 122.043i 0.660683 + 0.787372i
\(156\) 87.7652 172.026i 0.562597 1.10273i
\(157\) −11.9033 + 67.5070i −0.0758172 + 0.429981i 0.923146 + 0.384450i \(0.125609\pi\)
−0.998963 + 0.0455306i \(0.985502\pi\)
\(158\) 13.7516 + 15.9068i 0.0870354 + 0.100676i
\(159\) −30.0692 150.723i −0.189115 0.947941i
\(160\) 213.326 95.9569i 1.33329 0.599731i
\(161\) 69.0599 0.428944
\(162\) 44.5809 + 155.745i 0.275191 + 0.961390i
\(163\) 166.784i 1.02321i 0.859220 + 0.511606i \(0.170949\pi\)
−0.859220 + 0.511606i \(0.829051\pi\)
\(164\) 189.857 + 150.007i 1.15766 + 0.914677i
\(165\) −402.117 + 80.2224i −2.43707 + 0.486196i
\(166\) −131.873 152.541i −0.794418 0.918921i
\(167\) 77.6761 + 13.6964i 0.465126 + 0.0820143i 0.401300 0.915947i \(-0.368559\pi\)
0.0638264 + 0.997961i \(0.479670\pi\)
\(168\) −58.9958 + 80.6481i −0.351165 + 0.480048i
\(169\) 68.9419 57.8491i 0.407940 0.342302i
\(170\) −204.898 + 78.0128i −1.20529 + 0.458899i
\(171\) −2.13679 + 2.79125i −0.0124958 + 0.0163231i
\(172\) 66.1190 + 74.2428i 0.384413 + 0.431644i
\(173\) −14.3748 81.5234i −0.0830912 0.471233i −0.997752 0.0670117i \(-0.978654\pi\)
0.914661 0.404222i \(-0.132458\pi\)
\(174\) 186.278 + 144.877i 1.07057 + 0.832628i
\(175\) 40.4887 + 111.242i 0.231364 + 0.635667i
\(176\) 85.5943 286.665i 0.486331 1.62878i
\(177\) 5.61704 + 250.918i 0.0317347 + 1.41762i
\(178\) 29.1939 0.429958i 0.164010 0.00241550i
\(179\) −46.3255 26.7460i −0.258801 0.149419i 0.364986 0.931013i \(-0.381074\pi\)
−0.623788 + 0.781594i \(0.714407\pi\)
\(180\) −188.490 + 183.633i −1.04716 + 1.02019i
\(181\) 32.4491 + 56.2035i 0.179277 + 0.310516i 0.941633 0.336641i \(-0.109291\pi\)
−0.762356 + 0.647158i \(0.775958\pi\)
\(182\) −115.055 + 68.7060i −0.632172 + 0.377505i
\(183\) −58.1331 46.6027i −0.317667 0.254660i
\(184\) −80.7234 + 105.320i −0.438714 + 0.572391i
\(185\) 62.4333 + 52.3878i 0.337477 + 0.283177i
\(186\) 110.745 69.5408i 0.595403 0.373875i
\(187\) −95.9068 + 263.502i −0.512871 + 1.40910i
\(188\) 28.6634 86.6068i 0.152465 0.460675i
\(189\) 31.2734 107.976i 0.165468 0.571300i
\(190\) −5.63741 0.908641i −0.0296706 0.00478232i
\(191\) 72.7756 199.949i 0.381024 1.04685i −0.589902 0.807475i \(-0.700834\pi\)
0.970926 0.239380i \(-0.0769442\pi\)
\(192\) −54.0329 184.240i −0.281421 0.959584i
\(193\) −11.4584 9.61478i −0.0593702 0.0498175i 0.612620 0.790378i \(-0.290116\pi\)
−0.671990 + 0.740560i \(0.734560\pi\)
\(194\) 15.8313 + 5.49947i 0.0816044 + 0.0283478i
\(195\) −328.851 + 128.097i −1.68641 + 0.656909i
\(196\) −117.696 + 46.8074i −0.600492 + 0.238813i
\(197\) −34.4522 59.6729i −0.174884 0.302908i 0.765237 0.643749i \(-0.222622\pi\)
−0.940121 + 0.340840i \(0.889288\pi\)
\(198\) 20.0109 + 335.972i 0.101065 + 1.69683i
\(199\) 47.7506 + 27.5688i 0.239953 + 0.138537i 0.615155 0.788406i \(-0.289093\pi\)
−0.375202 + 0.926943i \(0.622427\pi\)
\(200\) −216.976 68.2819i −1.08488 0.341409i
\(201\) 134.834 81.9235i 0.670814 0.407579i
\(202\) −54.4629 284.324i −0.269618 1.40754i
\(203\) −56.0067 153.877i −0.275895 0.758015i
\(204\) 40.3906 + 175.370i 0.197993 + 0.859658i
\(205\) −76.7841 435.464i −0.374557 2.12422i
\(206\) −4.60212 + 5.65156i −0.0223404 + 0.0274348i
\(207\) 44.7296 142.426i 0.216085 0.688047i
\(208\) 29.7068 255.775i 0.142821 1.22969i
\(209\) −5.59457 + 4.69440i −0.0267683 + 0.0224612i
\(210\) 178.530 38.3589i 0.850144 0.182661i
\(211\) −162.329 28.6229i −0.769331 0.135654i −0.224812 0.974402i \(-0.572177\pi\)
−0.544519 + 0.838748i \(0.683288\pi\)
\(212\) −107.644 174.375i −0.507753 0.822522i
\(213\) −84.0228 + 247.984i −0.394473 + 1.16424i
\(214\) −207.006 115.484i −0.967316 0.539645i
\(215\) 181.680i 0.845021i
\(216\) 128.113 + 173.905i 0.593117 + 0.805116i
\(217\) −90.7415 −0.418164
\(218\) 203.680 365.098i 0.934313 1.67476i
\(219\) 80.6815 70.8366i 0.368409 0.323455i
\(220\) −465.219 + 287.185i −2.11463 + 1.30539i
\(221\) −41.9098 + 237.683i −0.189637 + 1.07549i
\(222\) 49.6156 44.8723i 0.223494 0.202127i
\(223\) 245.531 + 292.613i 1.10104 + 1.31217i 0.945967 + 0.324262i \(0.105116\pi\)
0.155071 + 0.987903i \(0.450439\pi\)
\(224\) −36.2339 + 128.209i −0.161758 + 0.572361i
\(225\) 255.643 11.4514i 1.13619 0.0508950i
\(226\) −172.756 140.676i −0.764405 0.622462i
\(227\) 157.728 27.8117i 0.694838 0.122519i 0.184935 0.982751i \(-0.440792\pi\)
0.509903 + 0.860232i \(0.329681\pi\)
\(228\) −1.37269 + 4.48147i −0.00602059 + 0.0196556i
\(229\) 219.275 79.8096i 0.957533 0.348513i 0.184466 0.982839i \(-0.440944\pi\)
0.773066 + 0.634325i \(0.218722\pi\)
\(230\) 238.168 45.6215i 1.03551 0.198354i
\(231\) 112.218 204.821i 0.485792 0.886671i
\(232\) 300.136 + 94.4522i 1.29369 + 0.407121i
\(233\) 213.934 370.545i 0.918172 1.59032i 0.115982 0.993251i \(-0.462998\pi\)
0.802190 0.597069i \(-0.203668\pi\)
\(234\) 67.1752 + 281.785i 0.287073 + 1.20421i
\(235\) −144.377 + 83.3563i −0.614372 + 0.354708i
\(236\) 123.665 + 310.953i 0.524005 + 1.31760i
\(237\) −31.1760 4.78040i −0.131544 0.0201705i
\(238\) 40.9778 117.962i 0.172176 0.495640i
\(239\) −29.7397 + 35.4424i −0.124434 + 0.148295i −0.824665 0.565622i \(-0.808636\pi\)
0.700231 + 0.713917i \(0.253081\pi\)
\(240\) −150.183 + 317.105i −0.625761 + 1.32127i
\(241\) −240.056 87.3733i −0.996083 0.362545i −0.208010 0.978127i \(-0.566699\pi\)
−0.788073 + 0.615582i \(0.788921\pi\)
\(242\) −72.7600 + 451.419i −0.300661 + 1.86537i
\(243\) −202.428 134.432i −0.833037 0.553217i
\(244\) −94.3115 31.2133i −0.386523 0.127923i
\(245\) 217.510 + 79.1672i 0.887797 + 0.323132i
\(246\) −362.700 + 13.4655i −1.47439 + 0.0547380i
\(247\) −4.04043 + 4.81520i −0.0163580 + 0.0194947i
\(248\) 106.067 138.385i 0.427688 0.558006i
\(249\) 298.968 + 45.8425i 1.20068 + 0.184106i
\(250\) 25.7342 + 43.0946i 0.102937 + 0.172378i
\(251\) −411.736 + 237.716i −1.64038 + 0.947076i −0.659687 + 0.751541i \(0.729311\pi\)
−0.980697 + 0.195535i \(0.937356\pi\)
\(252\) −11.1139 149.472i −0.0441027 0.593143i
\(253\) 155.075 268.598i 0.612944 1.06165i
\(254\) −0.314716 21.3690i −0.00123904 0.0841300i
\(255\) 158.020 288.419i 0.619687 1.13106i
\(256\) −153.172 205.120i −0.598327 0.801252i
\(257\) −43.3069 + 15.7624i −0.168509 + 0.0613323i −0.424897 0.905242i \(-0.639690\pi\)
0.256388 + 0.966574i \(0.417468\pi\)
\(258\) −147.719 20.4290i −0.572556 0.0791820i
\(259\) −45.7154 + 8.06085i −0.176507 + 0.0311230i
\(260\) −351.405 + 312.953i −1.35156 + 1.20367i
\(261\) −353.623 + 15.8403i −1.35488 + 0.0606909i
\(262\) 45.4549 + 119.386i 0.173492 + 0.455671i
\(263\) −102.839 122.559i −0.391025 0.466005i 0.534237 0.845335i \(-0.320599\pi\)
−0.925261 + 0.379330i \(0.876155\pi\)
\(264\) 181.192 + 410.551i 0.686333 + 1.55512i
\(265\) −65.0292 + 368.799i −0.245393 + 1.39169i
\(266\) 2.46039 2.12703i 0.00924958 0.00799636i
\(267\) −32.9109 + 28.8950i −0.123262 + 0.108221i
\(268\) 130.413 165.058i 0.486616 0.615888i
\(269\) 408.125 1.51719 0.758597 0.651560i \(-0.225885\pi\)
0.758597 + 0.651560i \(0.225885\pi\)
\(270\) 36.5232 393.036i 0.135271 1.45569i
\(271\) 9.23489i 0.0340771i 0.999855 + 0.0170385i \(0.00542380\pi\)
−0.999855 + 0.0170385i \(0.994576\pi\)
\(272\) 132.000 + 200.378i 0.485294 + 0.736684i
\(273\) 64.5057 190.381i 0.236285 0.697368i
\(274\) 289.462 250.243i 1.05643 0.913296i
\(275\) 523.574 + 92.3203i 1.90391 + 0.335710i
\(276\) −10.3130 198.778i −0.0373660 0.720212i
\(277\) 59.9164 50.2758i 0.216305 0.181501i −0.528197 0.849122i \(-0.677132\pi\)
0.744502 + 0.667621i \(0.232687\pi\)
\(278\) 98.6563 + 259.118i 0.354879 + 0.932079i
\(279\) −58.7726 + 187.141i −0.210654 + 0.670755i
\(280\) 205.271 130.930i 0.733112 0.467607i
\(281\) −84.5660 479.598i −0.300947 1.70675i −0.641996 0.766708i \(-0.721893\pi\)
0.341049 0.940046i \(-0.389218\pi\)
\(282\) 51.5405 + 126.763i 0.182768 + 0.449514i
\(283\) 72.9296 + 200.373i 0.257702 + 0.708030i 0.999308 + 0.0371946i \(0.0118421\pi\)
−0.741606 + 0.670836i \(0.765936\pi\)
\(284\) 10.2809 + 348.958i 0.0362004 + 1.22872i
\(285\) 7.32002 4.44756i 0.0256843 0.0156055i
\(286\) 8.86268 + 601.769i 0.0309884 + 2.10409i
\(287\) 218.112 + 125.927i 0.759973 + 0.438771i
\(288\) 240.943 + 157.767i 0.836608 + 0.547802i
\(289\) 32.0482 + 55.5091i 0.110893 + 0.192073i
\(290\) −294.803 493.679i −1.01656 1.70234i
\(291\) −23.4245 + 9.12454i −0.0804965 + 0.0313558i
\(292\) 67.8950 126.029i 0.232517 0.431606i
\(293\) −125.729 105.500i −0.429111 0.360067i 0.402505 0.915418i \(-0.368139\pi\)
−0.831616 + 0.555351i \(0.812584\pi\)
\(294\) 88.8269 167.950i 0.302132 0.571260i
\(295\) 209.160 574.661i 0.709016 1.94800i
\(296\) 41.1430 79.1405i 0.138996 0.267367i
\(297\) −349.730 364.093i −1.17754 1.22590i
\(298\) −19.0653 + 118.285i −0.0639775 + 0.396930i
\(299\) 91.3000 250.845i 0.305351 0.838946i
\(300\) 314.146 133.153i 1.04715 0.443842i
\(301\) 79.2699 + 66.5153i 0.263355 + 0.220981i
\(302\) 46.5061 133.876i 0.153994 0.443299i
\(303\) 338.811 + 271.609i 1.11819 + 0.896400i
\(304\) 0.367913 + 6.23848i 0.00121024 + 0.0205213i
\(305\) 90.7718 + 157.221i 0.297613 + 0.515480i
\(306\) −216.738 160.914i −0.708295 0.525862i
\(307\) 277.852 + 160.418i 0.905056 + 0.522534i 0.878837 0.477122i \(-0.158320\pi\)
0.0262186 + 0.999656i \(0.491653\pi\)
\(308\) 45.0190 308.125i 0.146166 1.00041i
\(309\) −0.244673 10.9297i −0.000791821 0.0353713i
\(310\) −312.941 + 59.9445i −1.00949 + 0.193369i
\(311\) 141.775 + 389.525i 0.455870 + 1.25249i 0.928533 + 0.371249i \(0.121070\pi\)
−0.472664 + 0.881243i \(0.656708\pi\)
\(312\) 214.941 + 320.909i 0.688914 + 1.02855i
\(313\) 11.8062 + 66.9560i 0.0377193 + 0.213917i 0.997842 0.0656625i \(-0.0209161\pi\)
−0.960123 + 0.279579i \(0.909805\pi\)
\(314\) −106.309 86.5680i −0.338562 0.275694i
\(315\) −166.498 + 217.493i −0.528565 + 0.690455i
\(316\) −41.1820 + 8.51904i −0.130323 + 0.0269590i
\(317\) −423.973 + 355.755i −1.33745 + 1.12226i −0.355180 + 0.934798i \(0.615581\pi\)
−0.982273 + 0.187458i \(0.939975\pi\)
\(318\) 292.549 + 94.3433i 0.919967 + 0.296677i
\(319\) −724.244 127.704i −2.27036 0.400325i
\(320\) −40.2643 + 466.092i −0.125826 + 1.45654i
\(321\) 348.688 69.5635i 1.08626 0.216709i
\(322\) −67.2910 + 120.619i −0.208978 + 0.374594i
\(323\) 5.85748i 0.0181346i
\(324\) −315.462 73.8912i −0.973647 0.228059i
\(325\) 457.588 1.40796
\(326\) −291.302 162.511i −0.893565 0.498501i
\(327\) 122.690 + 614.985i 0.375198 + 1.88069i
\(328\) −446.994 + 185.438i −1.36279 + 0.565358i
\(329\) 16.4887 93.5122i 0.0501177 0.284232i
\(330\) 251.701 780.500i 0.762730 2.36515i
\(331\) −253.344 301.924i −0.765390 0.912157i 0.232786 0.972528i \(-0.425216\pi\)
−0.998176 + 0.0603714i \(0.980771\pi\)
\(332\) 394.922 81.6949i 1.18952 0.246069i
\(333\) −12.9852 + 99.5020i −0.0389946 + 0.298805i
\(334\) −99.6084 + 122.323i −0.298229 + 0.366235i
\(335\) −378.584 + 66.7546i −1.13010 + 0.199267i
\(336\) −83.3744 181.624i −0.248138 0.540547i
\(337\) −495.696 + 180.418i −1.47091 + 0.535366i −0.948347 0.317236i \(-0.897245\pi\)
−0.522560 + 0.852602i \(0.675023\pi\)
\(338\) 33.8627 + 176.780i 0.100185 + 0.523019i
\(339\) 334.098 7.47909i 0.985539 0.0220622i
\(340\) 63.3937 433.888i 0.186452 1.27614i
\(341\) −203.761 + 352.925i −0.597540 + 1.03497i
\(342\) −2.79311 6.45184i −0.00816698 0.0188650i
\(343\) −290.853 + 167.924i −0.847968 + 0.489574i
\(344\) −194.097 + 43.1416i −0.564235 + 0.125412i
\(345\) −227.517 + 283.809i −0.659470 + 0.822635i
\(346\) 156.394 + 54.3284i 0.452007 + 0.157018i
\(347\) 105.358 125.560i 0.303624 0.361845i −0.592561 0.805526i \(-0.701883\pi\)
0.896185 + 0.443681i \(0.146328\pi\)
\(348\) −434.548 + 184.186i −1.24870 + 0.529269i
\(349\) 111.453 + 40.5656i 0.319350 + 0.116234i 0.496721 0.867910i \(-0.334537\pi\)
−0.177371 + 0.984144i \(0.556759\pi\)
\(350\) −233.745 37.6752i −0.667843 0.107643i
\(351\) −350.853 256.342i −0.999581 0.730319i
\(352\) 417.285 + 428.820i 1.18547 + 1.21824i
\(353\) 405.217 + 147.487i 1.14792 + 0.417810i 0.844769 0.535132i \(-0.179738\pi\)
0.303154 + 0.952941i \(0.401960\pi\)
\(354\) −443.725 234.681i −1.25346 0.662939i
\(355\) 410.086 488.721i 1.15517 1.37668i
\(356\) −27.6951 + 51.4086i −0.0777952 + 0.144406i
\(357\) 67.9890 + 174.541i 0.190445 + 0.488911i
\(358\) 91.8531 54.8506i 0.256573 0.153214i
\(359\) −276.576 + 159.681i −0.770407 + 0.444795i −0.833020 0.553243i \(-0.813390\pi\)
0.0626127 + 0.998038i \(0.480057\pi\)
\(360\) −137.071 508.144i −0.380752 1.41151i
\(361\) −180.424 + 312.503i −0.499789 + 0.865659i
\(362\) −129.782 + 1.91139i −0.358514 + 0.00528009i
\(363\) −356.141 586.155i −0.981105 1.61475i
\(364\) −7.89283 267.901i −0.0216836 0.735990i
\(365\) −245.830 + 89.4748i −0.673507 + 0.245136i
\(366\) 138.040 56.1257i 0.377158 0.153349i
\(367\) 605.049 106.686i 1.64863 0.290699i 0.729305 0.684188i \(-0.239843\pi\)
0.919329 + 0.393490i \(0.128732\pi\)
\(368\) −105.295 243.613i −0.286128 0.661991i
\(369\) 400.976 368.262i 1.08665 0.997999i
\(370\) −152.334 + 57.9995i −0.411713 + 0.156755i
\(371\) −137.105 163.396i −0.369556 0.440419i
\(372\) 13.5508 + 261.186i 0.0364269 + 0.702112i
\(373\) 104.221 591.065i 0.279412 1.58462i −0.445177 0.895442i \(-0.646859\pi\)
0.724589 0.689181i \(-0.242030\pi\)
\(374\) −366.779 424.262i −0.980693 1.13439i
\(375\) −71.3084 24.1610i −0.190156 0.0644293i
\(376\) 123.337 + 134.452i 0.328025 + 0.357584i
\(377\) −632.967 −1.67896
\(378\) 158.117 + 159.832i 0.418299 + 0.422835i
\(379\) 14.1542i 0.0373462i −0.999826 0.0186731i \(-0.994056\pi\)
0.999826 0.0186731i \(-0.00594418\pi\)
\(380\) 7.08003 8.96087i 0.0186317 0.0235812i
\(381\) 21.1503 + 24.0898i 0.0555126 + 0.0632278i
\(382\) 278.318 + 321.937i 0.728581 + 0.842766i
\(383\) −357.007 62.9499i −0.932133 0.164360i −0.313095 0.949722i \(-0.601366\pi\)
−0.619037 + 0.785362i \(0.712477\pi\)
\(384\) 374.441 + 85.1477i 0.975106 + 0.221739i
\(385\) −435.927 + 365.786i −1.13228 + 0.950095i
\(386\) 27.9580 10.6447i 0.0724301 0.0275769i
\(387\) 188.520 120.401i 0.487133 0.311113i
\(388\) −25.0311 + 22.2921i −0.0645130 + 0.0574539i
\(389\) −67.1581 380.873i −0.172643 0.979107i −0.940829 0.338881i \(-0.889952\pi\)
0.768186 0.640226i \(-0.221159\pi\)
\(390\) 96.6941 699.183i 0.247934 1.79278i
\(391\) 85.0789 + 233.752i 0.217593 + 0.597832i
\(392\) 32.9282 251.176i 0.0840006 0.640754i
\(393\) −168.050 92.0718i −0.427608 0.234279i
\(394\) 137.794 2.02938i 0.349730 0.00515072i
\(395\) 66.5553 + 38.4257i 0.168494 + 0.0972803i
\(396\) −606.304 292.415i −1.53107 0.738423i
\(397\) 75.4765 + 130.729i 0.190117 + 0.329293i 0.945289 0.326234i \(-0.105780\pi\)
−0.755172 + 0.655527i \(0.772447\pi\)
\(398\) −94.6789 + 56.5380i −0.237887 + 0.142055i
\(399\) −0.739410 + 4.82216i −0.00185316 + 0.0120856i
\(400\) 330.679 312.435i 0.826696 0.781087i
\(401\) −172.496 144.741i −0.430164 0.360951i 0.401850 0.915706i \(-0.368367\pi\)
−0.832014 + 0.554755i \(0.812812\pi\)
\(402\) 11.7067 + 315.324i 0.0291211 + 0.784388i
\(403\) −119.964 + 329.598i −0.297677 + 0.817862i
\(404\) 549.665 + 181.917i 1.36056 + 0.450289i
\(405\) 340.708 + 484.246i 0.841254 + 1.19567i
\(406\) 323.332 + 52.1149i 0.796385 + 0.128362i
\(407\) −71.3030 + 195.903i −0.175192 + 0.481335i
\(408\) −345.656 100.332i −0.847195 0.245913i
\(409\) −74.9861 62.9208i −0.183340 0.153841i 0.546499 0.837460i \(-0.315960\pi\)
−0.729839 + 0.683619i \(0.760405\pi\)
\(410\) 835.395 + 290.200i 2.03755 + 0.707804i
\(411\) −86.9909 + 567.323i −0.211657 + 1.38035i
\(412\) −5.38672 13.5448i −0.0130746 0.0328757i
\(413\) 174.158 + 301.651i 0.421691 + 0.730391i
\(414\) 205.175 + 216.902i 0.495593 + 0.523917i
\(415\) −638.244 368.490i −1.53794 0.887928i
\(416\) 417.788 + 301.109i 1.00430 + 0.723820i
\(417\) −364.740 199.835i −0.874676 0.479220i
\(418\) −2.74792 14.3456i −0.00657398 0.0343195i
\(419\) 18.1404 + 49.8403i 0.0432945 + 0.118951i 0.959456 0.281859i \(-0.0909511\pi\)
−0.916161 + 0.400810i \(0.868729\pi\)
\(420\) −106.960 + 349.195i −0.254667 + 0.831417i
\(421\) 69.5196 + 394.265i 0.165130 + 0.936497i 0.948931 + 0.315485i \(0.102167\pi\)
−0.783801 + 0.621012i \(0.786722\pi\)
\(422\) 208.163 255.632i 0.493278 0.605763i
\(423\) −182.175 94.5727i −0.430674 0.223576i
\(424\) 409.447 18.1011i 0.965678 0.0426913i
\(425\) −326.648 + 274.090i −0.768583 + 0.644917i
\(426\) −351.255 388.385i −0.824543 0.911702i
\(427\) −101.831 17.9556i −0.238481 0.0420506i
\(428\) 403.406 249.028i 0.942538 0.581841i
\(429\) −595.610 678.388i −1.38837 1.58132i
\(430\) 317.319 + 177.026i 0.737952 + 0.411688i
\(431\) 445.360i 1.03332i −0.856191 0.516659i \(-0.827175\pi\)
0.856191 0.516659i \(-0.172825\pi\)
\(432\) −428.572 + 54.3108i −0.992066 + 0.125720i
\(433\) −52.1504 −0.120440 −0.0602199 0.998185i \(-0.519180\pi\)
−0.0602199 + 0.998185i \(0.519180\pi\)
\(434\) 88.4172 158.488i 0.203726 0.365180i
\(435\) 816.888 + 276.781i 1.87790 + 0.636278i
\(436\) 439.212 + 711.491i 1.00737 + 1.63186i
\(437\) −1.12501 + 6.38022i −0.00257438 + 0.0146001i
\(438\) 45.1075 + 209.940i 0.102985 + 0.479314i
\(439\) 307.416 + 366.365i 0.700265 + 0.834543i 0.992556 0.121786i \(-0.0388621\pi\)
−0.292291 + 0.956329i \(0.594418\pi\)
\(440\) −48.2924 1092.37i −0.109756 2.48267i
\(441\) 61.9979 + 278.165i 0.140585 + 0.630760i
\(442\) −374.297 304.794i −0.846827 0.689578i
\(443\) −64.2664 + 11.3319i −0.145071 + 0.0255799i −0.245712 0.969343i \(-0.579022\pi\)
0.100641 + 0.994923i \(0.467911\pi\)
\(444\) 30.0288 + 130.381i 0.0676324 + 0.293651i
\(445\) 100.277 36.4978i 0.225341 0.0820174i
\(446\) −750.317 + 143.725i −1.68232 + 0.322253i
\(447\) −93.3196 153.590i −0.208769 0.343602i
\(448\) −188.623 188.211i −0.421033 0.420113i
\(449\) −107.513 + 186.218i −0.239450 + 0.414740i −0.960557 0.278084i \(-0.910301\pi\)
0.721106 + 0.692824i \(0.243634\pi\)
\(450\) −229.094 + 457.662i −0.509098 + 1.01703i
\(451\) 979.548 565.542i 2.17195 1.25397i
\(452\) 414.034 164.660i 0.916005 0.364292i
\(453\) 77.1613 + 198.088i 0.170334 + 0.437281i
\(454\) −105.112 + 302.586i −0.231525 + 0.666489i
\(455\) −314.830 + 375.199i −0.691933 + 0.824614i
\(456\) −6.48976 6.76421i −0.0142319 0.0148338i
\(457\) 731.479 + 266.237i 1.60061 + 0.582575i 0.979552 0.201189i \(-0.0644806\pi\)
0.621059 + 0.783764i \(0.286703\pi\)
\(458\) −74.2638 + 460.749i −0.162148 + 1.00600i
\(459\) 404.001 27.1681i 0.880176 0.0591898i
\(460\) −152.385 + 460.434i −0.331272 + 1.00094i
\(461\) −41.6290 15.1517i −0.0903015 0.0328670i 0.296474 0.955041i \(-0.404189\pi\)
−0.386776 + 0.922174i \(0.626411\pi\)
\(462\) 248.394 + 395.573i 0.537650 + 0.856219i
\(463\) 525.356 626.094i 1.13468 1.35226i 0.207234 0.978291i \(-0.433554\pi\)
0.927443 0.373964i \(-0.122002\pi\)
\(464\) −457.417 + 432.181i −0.985813 + 0.931426i
\(465\) 298.947 372.912i 0.642896 0.801961i
\(466\) 438.735 + 734.708i 0.941492 + 1.57663i
\(467\) −392.786 + 226.775i −0.841084 + 0.485600i −0.857632 0.514263i \(-0.828065\pi\)
0.0165487 + 0.999863i \(0.494732\pi\)
\(468\) −557.617 157.239i −1.19149 0.335982i
\(469\) 109.479 189.623i 0.233430 0.404313i
\(470\) −4.91005 333.389i −0.0104469 0.709338i
\(471\) 205.594 4.60241i 0.436505 0.00977156i
\(472\) −663.605 86.9963i −1.40594 0.184314i
\(473\) 436.702 158.947i 0.923261 0.336039i
\(474\) 38.7269 49.7938i 0.0817022 0.105050i
\(475\) −10.9368 + 1.92846i −0.0230249 + 0.00405991i
\(476\) 166.103 + 186.512i 0.348957 + 0.391832i
\(477\) −425.781 + 176.929i −0.892622 + 0.370920i
\(478\) −32.9254 86.4776i −0.0688816 0.180916i
\(479\) 394.817 + 470.525i 0.824253 + 0.982307i 0.999998 0.00212887i \(-0.000677642\pi\)
−0.175744 + 0.984436i \(0.556233\pi\)
\(480\) −407.516 571.290i −0.848992 1.19019i
\(481\) −31.1583 + 176.708i −0.0647782 + 0.367376i
\(482\) 386.512 334.144i 0.801893 0.693245i
\(483\) −40.5337 203.176i −0.0839207 0.420654i
\(484\) −717.547 566.938i −1.48253 1.17136i
\(485\) 61.2535 0.126296
\(486\) 432.040 222.570i 0.888971 0.457964i
\(487\) 660.590i 1.35645i 0.734856 + 0.678224i \(0.237250\pi\)
−0.734856 + 0.678224i \(0.762750\pi\)
\(488\) 146.413 134.310i 0.300026 0.275225i
\(489\) 490.681 97.8911i 1.00344 0.200186i
\(490\) −350.211 + 302.762i −0.714717 + 0.617881i
\(491\) −711.257 125.414i −1.44859 0.255425i −0.606638 0.794978i \(-0.707482\pi\)
−0.841952 + 0.539553i \(0.818593\pi\)
\(492\) 329.891 646.608i 0.670509 1.31424i
\(493\) 451.841 379.140i 0.916514 0.769047i
\(494\) −4.47324 11.7488i −0.00905514 0.0237831i
\(495\) 472.033 + 1135.95i 0.953601 + 2.29485i
\(496\) 138.353 + 320.096i 0.278937 + 0.645354i
\(497\) 63.0995 + 357.855i 0.126961 + 0.720030i
\(498\) −371.378 + 477.506i −0.745739 + 0.958848i
\(499\) 79.8454 + 219.374i 0.160011 + 0.439626i 0.993627 0.112718i \(-0.0359556\pi\)
−0.833616 + 0.552344i \(0.813733\pi\)
\(500\) −100.344 + 2.95630i −0.200687 + 0.00591260i
\(501\) −5.29570 236.564i −0.0105703 0.472183i
\(502\) −14.0025 950.761i −0.0278935 1.89395i
\(503\) 225.781 + 130.355i 0.448870 + 0.259155i 0.707353 0.706861i \(-0.249889\pi\)
−0.258483 + 0.966016i \(0.583223\pi\)
\(504\) 271.895 + 126.232i 0.539475 + 0.250460i
\(505\) −529.035 916.315i −1.04759 1.81449i
\(506\) 318.027 + 532.570i 0.628512 + 1.05251i
\(507\) −210.658 168.875i −0.415499 0.333087i
\(508\) 37.6296 + 20.2720i 0.0740739 + 0.0399055i
\(509\) 590.919 + 495.840i 1.16094 + 0.974145i 0.999918 0.0128062i \(-0.00407646\pi\)
0.161022 + 0.986951i \(0.448521\pi\)
\(510\) 349.778 + 557.028i 0.685839 + 1.09221i
\(511\) 50.9623 140.018i 0.0997306 0.274008i
\(512\) 507.509 67.6618i 0.991229 0.132152i
\(513\) 9.46607 + 4.64820i 0.0184524 + 0.00906082i
\(514\) 14.6671 90.9980i 0.0285352 0.177039i
\(515\) −9.11078 + 25.0316i −0.0176908 + 0.0486051i
\(516\) 179.617 238.099i 0.348094 0.461433i
\(517\) −326.675 274.113i −0.631867 0.530199i
\(518\) 30.4654 87.7003i 0.0588135 0.169306i
\(519\) −231.407 + 90.1399i −0.445870 + 0.173680i
\(520\) −204.197 918.697i −0.392687 1.76673i
\(521\) −213.733 370.196i −0.410236 0.710550i 0.584679 0.811264i \(-0.301220\pi\)
−0.994915 + 0.100715i \(0.967887\pi\)
\(522\) 316.899 633.069i 0.607086 1.21278i
\(523\) −699.824 404.044i −1.33810 0.772550i −0.351571 0.936161i \(-0.614352\pi\)
−0.986525 + 0.163611i \(0.947686\pi\)
\(524\) −252.809 36.9369i −0.482459 0.0704903i
\(525\) 303.512 184.410i 0.578117 0.351258i
\(526\) 314.266 60.1983i 0.597464 0.114445i
\(527\) −111.790 307.139i −0.212125 0.582807i
\(528\) −893.614 83.5667i −1.69245 0.158270i
\(529\) 44.0835 + 250.010i 0.0833336 + 0.472608i
\(530\) −580.777 472.931i −1.09580 0.892323i
\(531\) 734.911 163.798i 1.38401 0.308471i
\(532\) 1.31769 + 6.36983i 0.00247685 + 0.0119734i
\(533\) 745.756 625.764i 1.39917 1.17404i
\(534\) −18.3998 85.6367i −0.0344566 0.160368i
\(535\) −853.196 150.441i −1.59476 0.281199i
\(536\) 161.216 + 388.608i 0.300776 + 0.725015i
\(537\) −51.4974 + 151.989i −0.0958983 + 0.283033i
\(538\) −397.671 + 712.827i −0.739166 + 1.32496i
\(539\) 592.090i 1.09850i
\(540\) 650.885 + 446.760i 1.20534 + 0.827333i
\(541\) −374.121 −0.691535 −0.345768 0.938320i \(-0.612381\pi\)
−0.345768 + 0.938320i \(0.612381\pi\)
\(542\) −16.1296 8.99834i −0.0297593 0.0166021i
\(543\) 146.306 128.454i 0.269441 0.236563i
\(544\) −478.597 + 35.3044i −0.879774 + 0.0648978i
\(545\) 265.335 1504.79i 0.486853 2.76108i
\(546\) 269.665 + 298.170i 0.493891 + 0.546098i
\(547\) −630.498 751.399i −1.15265 1.37367i −0.915559 0.402184i \(-0.868251\pi\)
−0.237089 0.971488i \(1.42381\pi\)
\(548\) 155.024 + 749.405i 0.282891 + 1.36753i
\(549\) −102.986 + 198.382i −0.187588 + 0.361351i
\(550\) −671.409 + 824.514i −1.22074 + 1.49912i
\(551\) 15.1286 2.66758i 0.0274566 0.00484134i
\(552\) 357.233 + 175.674i 0.647161 + 0.318250i
\(553\) −41.1326 + 14.9710i −0.0743808 + 0.0270724i
\(554\) 29.4296 + 153.637i 0.0531220 + 0.277324i
\(555\) 117.482 214.429i 0.211679 0.386358i
\(556\) −548.702 80.1687i −0.986874 0.144188i
\(557\) −37.0277 + 64.1338i −0.0664770 + 0.115141i −0.897348 0.441323i \(-0.854509\pi\)
0.830871 + 0.556465i \(0.187843\pi\)
\(558\) −269.591 284.999i −0.483137 0.510750i
\(559\) 346.400 199.994i 0.619678 0.357771i
\(560\) 28.6677 + 486.101i 0.0511923 + 0.868037i
\(561\) 831.520 + 127.502i 1.48221 + 0.227276i
\(562\) 920.060 + 319.611i 1.63712 + 0.568703i
\(563\) 394.263 469.864i 0.700290 0.834573i −0.292270 0.956336i \(-0.594410\pi\)
0.992559 + 0.121763i \(0.0388549\pi\)
\(564\) −271.623 33.4957i −0.481601 0.0593895i
\(565\) −765.161 278.496i −1.35427 0.492913i
\(566\) −421.030 67.8619i −0.743869 0.119897i
\(567\) −336.023 28.6323i −0.592632 0.0504979i
\(568\) −619.503 322.063i −1.09067 0.567012i
\(569\) 128.189 + 46.6569i 0.225288 + 0.0819980i 0.452198 0.891918i \(-0.350640\pi\)
−0.226910 + 0.973916i \(0.572862\pi\)
\(570\) 0.635547 + 17.1187i 0.00111499 + 0.0300328i
\(571\) −28.1385 + 33.5342i −0.0492794 + 0.0587289i −0.790121 0.612951i \(-0.789982\pi\)
0.740842 + 0.671680i \(0.234427\pi\)
\(572\) −1059.68 570.876i −1.85259 0.998035i
\(573\) −630.970 96.7503i −1.10117 0.168849i
\(574\) −432.469 + 258.251i −0.753430 + 0.449915i
\(575\) 408.441 235.814i 0.710333 0.410111i
\(576\) −510.325 + 267.103i −0.885981 + 0.463721i
\(577\) −73.2045 + 126.794i −0.126871 + 0.219747i −0.922463 0.386086i \(-0.873827\pi\)
0.795592 + 0.605833i \(0.207160\pi\)
\(578\) −128.179 + 1.88778i −0.221763 + 0.00326605i
\(579\) −21.5616 + 39.3543i −0.0372393 + 0.0679694i
\(580\) 1149.51 33.8665i 1.98191 0.0583905i
\(581\) 394.448 143.567i 0.678913 0.247104i
\(582\) 6.88765 49.8038i 0.0118345 0.0855735i
\(583\) −943.372 + 166.342i −1.61813 + 0.285321i
\(584\) 153.965 + 241.385i 0.263639 + 0.413331i
\(585\) 569.879 + 892.302i 0.974152 + 1.52530i
\(586\) 306.773 116.800i 0.523504 0.199318i
\(587\) −439.369 523.619i −0.748499 0.892026i 0.248564 0.968616i \(-0.420041\pi\)
−0.997063 + 0.0765892i \(0.975597\pi\)
\(588\) 206.789 + 318.793i 0.351681 + 0.542164i
\(589\) 1.47820 8.38331i 0.00250969 0.0142331i
\(590\) 799.895 + 925.257i 1.35575 + 1.56823i
\(591\) −155.338 + 136.383i −0.262839 + 0.230767i
\(592\) 98.1368 + 148.973i 0.165772 + 0.251644i
\(593\) −339.967 −0.573301 −0.286650 0.958035i \(-0.592542\pi\)
−0.286650 + 0.958035i \(0.592542\pi\)
\(594\) 976.693 256.066i 1.64426 0.431088i
\(595\) 456.414i 0.767082i
\(596\) −188.019 148.555i −0.315468 0.249253i
\(597\) 53.0817 156.665i 0.0889140 0.262420i
\(598\) 349.161 + 403.883i 0.583882 + 0.675390i
\(599\) 113.226 + 19.9649i 0.189026 + 0.0333303i 0.267359 0.963597i \(-0.413849\pi\)
−0.0783338 + 0.996927i \(0.524960\pi\)
\(600\) −73.5362 + 678.426i −0.122560 + 1.13071i
\(601\) −41.4690 + 34.7966i −0.0689999 + 0.0578978i −0.676635 0.736318i \(-0.736563\pi\)
0.607635 + 0.794216i \(0.292118\pi\)
\(602\) −193.414 + 73.6404i −0.321286 + 0.122326i
\(603\) −320.159 348.600i −0.530944 0.578110i
\(604\) 188.512 + 211.674i 0.312106 + 0.350454i
\(605\) 290.199 + 1645.80i 0.479667 + 2.72033i
\(606\) −804.522 + 327.111i −1.32759 + 0.539787i
\(607\) 221.274 + 607.945i 0.364537 + 1.00156i 0.977406 + 0.211372i \(0.0677932\pi\)
−0.612869 + 0.790185i \(0.709985\pi\)
\(608\) −11.2545 5.43609i −0.0185108 0.00894094i
\(609\) −419.838 + 255.089i −0.689389 + 0.418865i
\(610\) −363.048 + 5.34686i −0.595161 + 0.00876535i
\(611\) −317.864 183.519i −0.520235 0.300358i
\(612\) 492.237 221.761i 0.804309 0.362354i
\(613\) 107.603 + 186.374i 0.175535 + 0.304035i 0.940346 0.340219i \(-0.110501\pi\)
−0.764811 + 0.644254i \(0.777168\pi\)
\(614\) −550.919 + 328.985i −0.897263 + 0.535805i
\(615\) −1236.08 + 481.490i −2.00989 + 0.782911i
\(616\) 494.302 + 378.863i 0.802439 + 0.615037i
\(617\) −246.443 206.791i −0.399422 0.335155i 0.420848 0.907131i \(-0.361733\pi\)
−0.820270 + 0.571976i \(0.806177\pi\)
\(618\) 19.3282 + 10.2224i 0.0312754 + 0.0165412i
\(619\) 129.813 356.659i 0.209715 0.576186i −0.789584 0.613643i \(-0.789703\pi\)
0.999298 + 0.0374568i \(0.0119257\pi\)
\(620\) 200.227 604.989i 0.322946 0.975788i
\(621\) −445.273 48.0009i −0.717026 0.0772962i
\(622\) −818.484 131.924i −1.31589 0.212096i
\(623\) −20.7881 + 57.1148i −0.0333677 + 0.0916771i
\(624\) −769.932 + 62.7250i −1.23387 + 0.100521i
\(625\) −403.996 338.993i −0.646394 0.542389i
\(626\) −128.448 44.6205i −0.205189 0.0712787i
\(627\) 17.0947 + 13.7040i 0.0272642 + 0.0218565i
\(628\) 254.784 101.327i 0.405707 0.161348i
\(629\) −83.6035 144.806i −0.132915 0.230216i
\(630\) −217.638 502.726i −0.345458 0.797978i
\(631\) 789.534 + 455.838i 1.25124 + 0.722405i 0.971356 0.237628i \(-0.0763698\pi\)
0.279887 + 0.960033i \(0.409703\pi\)
\(632\) 25.2478 80.2288i 0.0399491 0.126944i
\(633\) 11.0670 + 494.375i 0.0174835 + 0.781003i
\(634\) −208.246 1087.15i −0.328463 1.71475i
\(635\) −26.7153 73.3996i −0.0420713 0.115590i
\(636\) −449.835 + 419.037i −0.707287 + 0.658863i
\(637\) 88.4923 + 501.865i 0.138920 + 0.787857i
\(638\) 928.739 1140.52i 1.45570 1.78766i
\(639\) 778.891 + 101.647i 1.21892 + 0.159072i
\(640\) −774.838 524.478i −1.21068 0.819497i
\(641\) 415.837 348.929i 0.648732 0.544351i −0.257954 0.966157i \(-0.583048\pi\)
0.906686 + 0.421807i \(0.138604\pi\)
\(642\) −218.258 + 676.797i −0.339966 + 1.05420i
\(643\) 330.645 + 58.3017i 0.514223 + 0.0906714i 0.424737 0.905317i \(-0.360367\pi\)
0.0894857 + 0.995988i \(0.471478\pi\)
\(644\) −145.105 235.059i −0.225318 0.364999i
\(645\) −534.506 + 106.634i −0.828691 + 0.165324i
\(646\) 10.2306 + 5.70744i 0.0158369 + 0.00883505i
\(647\) 1.27262i 0.00196696i −1.00000 0.000983479i \(-0.999687\pi\)
1.00000 0.000983479i \(-0.000313051\pi\)
\(648\) 436.439 478.984i 0.673517 0.739172i
\(649\) 1564.30 2.41032
\(650\) −445.867 + 799.219i −0.685950 + 1.22957i
\(651\) 53.2594 + 266.964i 0.0818116 + 0.410083i
\(652\) 567.681 350.437i 0.870677 0.537480i
\(653\) −67.8083 + 384.560i −0.103841 + 0.588913i 0.887836 + 0.460161i \(0.152208\pi\)
−0.991677 + 0.128752i \(0.958903\pi\)
\(654\) −1193.67 384.944i −1.82519 0.588599i
\(655\) 300.118 + 357.667i 0.458196 + 0.546056i
\(656\) 111.662 961.403i 0.170216 1.46555i
\(657\) −255.758 195.791i −0.389281 0.298007i
\(658\) 147.261 + 119.916i 0.223801 + 0.182243i
\(659\) 226.021 39.8536i 0.342975 0.0604758i 0.000492450 1.00000i \(-0.499843\pi\)
0.342483 + 0.939524i \(0.388732\pi\)
\(660\) 1117.96 + 1200.13i 1.69388 + 1.81837i
\(661\) 128.136 46.6376i 0.193851 0.0705561i −0.243270 0.969959i \(-0.578220\pi\)
0.437121 + 0.899402i \(0.355998\pi\)
\(662\) 774.192 148.298i 1.16947 0.224015i
\(663\) 723.866 16.2044i 1.09180 0.0244411i
\(664\) −242.119 + 769.368i −0.364636 + 1.15869i
\(665\) 5.94351 10.2945i 0.00893761 0.0154804i
\(666\) −161.137 119.633i −0.241947 0.179629i
\(667\) −564.984 + 326.194i −0.847052 + 0.489046i
\(668\) −116.590 293.164i −0.174537 0.438869i
\(669\) 716.763 894.104i 1.07140 1.33648i
\(670\) 252.294 726.276i 0.376558 1.08399i
\(671\) −298.499 + 355.737i −0.444856 + 0.530159i
\(672\) 398.461 + 31.3506i 0.592948 + 0.0466527i
\(673\) −353.816 128.779i −0.525730 0.191350i 0.0655006 0.997853i \(-0.479136\pi\)
−0.591231 + 0.806502i \(0.701358\pi\)
\(674\) 167.882 1041.57i 0.249082 1.54536i
\(675\) −183.736 745.388i −0.272202 1.10428i
\(676\) −341.758 113.108i −0.505559 0.167320i
\(677\) 458.210 + 166.775i 0.676824 + 0.246344i 0.657483 0.753469i \(-0.271621\pi\)
0.0193408 + 0.999813i \(0.493843\pi\)
\(678\) −312.477 + 590.819i −0.460880 + 0.871414i
\(679\) −22.4257 + 26.7260i −0.0330276 + 0.0393608i
\(680\) 696.054 + 533.497i 1.02361 + 0.784554i
\(681\) −174.399 447.717i −0.256093 0.657440i
\(682\) −417.872 699.771i −0.612716 1.02606i
\(683\) 1052.67 607.762i 1.54125 0.889842i 0.542491 0.840061i \(-0.317481\pi\)
0.998760 0.0497805i \(-0.0158522\pi\)
\(684\) 13.9903 + 1.40817i 0.0204536 + 0.00205872i
\(685\) 699.248 1211.13i 1.02080 1.76808i
\(686\) −9.89146 671.623i −0.0144190 0.979043i
\(687\) −363.502 598.269i −0.529115 0.870843i
\(688\) 113.775 381.044i 0.165370 0.553843i
\(689\) −774.757 + 281.988i −1.12447 + 0.409272i
\(690\) −274.009 673.918i −0.397114 0.976693i
\(691\) −72.6934 + 12.8178i −0.105200 + 0.0185496i −0.226000 0.974127i \(-0.572565\pi\)
0.120800 + 0.992677i \(0.461454\pi\)
\(692\) −247.278 + 220.220i −0.357338 + 0.318237i
\(693\) −668.453 209.931i −0.964578 0.302931i
\(694\) 116.643 + 306.360i 0.168074 + 0.441441i
\(695\) 651.383 + 776.288i 0.937242 + 1.11696i
\(696\) 101.720 938.445i 0.146150 1.34834i
\(697\) −157.530 + 893.398i −0.226012 + 1.28178i
\(698\) −179.450 + 155.136i −0.257091 + 0.222258i
\(699\) −1215.72 411.914i −1.73922 0.589290i
\(700\) 293.561 371.546i 0.419373 0.530781i
\(701\) −807.939 −1.15255 −0.576276 0.817255i \(-0.695495\pi\)
−0.576276 + 0.817255i \(0.695495\pi\)
\(702\) 789.590 363.020i 1.12477 0.517123i
\(703\) 4.35481i 0.00619461i
\(704\) −1155.57 + 310.988i −1.64143 + 0.441745i
\(705\) 329.976 + 375.837i 0.468052 + 0.533102i
\(706\) −652.436 + 564.038i −0.924131 + 0.798921i
\(707\) 593.491 + 104.649i 0.839450 + 0.148018i
\(708\) 842.249 546.335i 1.18962 0.771660i
\(709\) −375.128 + 314.770i −0.529094 + 0.443963i −0.867788 0.496934i \(-0.834459\pi\)
0.338694 + 0.940896i \(0.390015\pi\)
\(710\) 454.013 + 1192.45i 0.639455 + 1.67951i
\(711\) 4.23425 + 94.5264i 0.00595534 + 0.132949i
\(712\) −62.8040 98.4637i −0.0882079 0.138292i
\(713\) 62.7760 + 356.020i 0.0880449 + 0.499327i
\(714\) −371.099 51.3215i −0.519747 0.0718788i
\(715\) 752.324 + 2066.99i 1.05220 + 2.89090i
\(716\) 6.30115 + 213.875i 0.00880049 + 0.298709i
\(717\) 121.728 + 66.6926i 0.169774 + 0.0930162i
\(718\) −9.40593 638.656i −0.0131002 0.889493i
\(719\) −370.164 213.715i −0.514832 0.297239i 0.219985 0.975503i \(-0.429399\pi\)
−0.734818 + 0.678265i \(0.762732\pi\)
\(720\) 1021.08 + 255.721i 1.41816 + 0.355168i
\(721\) −7.58616 13.1396i −0.0105217 0.0182242i
\(722\) −370.012 619.624i −0.512482 0.858206i
\(723\) −116.157 + 757.533i −0.160660 + 1.04776i
\(724\) 123.119 228.539i 0.170055 0.315661i
\(725\) −856.673 718.834i −1.18162 0.991495i
\(726\) 1370.79 50.8918i 1.88814 0.0700989i
\(727\) −405.970 + 1115.39i −0.558418 + 1.53424i 0.263514 + 0.964656i \(0.415118\pi\)
−0.821932 + 0.569585i \(0.807104\pi\)
\(728\) 475.603 + 247.253i 0.653301 + 0.339633i
\(729\) −276.689 + 674.451i −0.379546 + 0.925173i
\(730\) 83.2574 516.547i 0.114051 0.707599i
\(731\) −127.482 + 350.255i −0.174394 + 0.479145i
\(732\) −36.4755 + 295.787i −0.0498300 + 0.404081i
\(733\) −714.992 599.950i −0.975432 0.818485i 0.00796157 0.999968i \(-0.497466\pi\)
−0.983394 + 0.181483i \(0.941910\pi\)
\(734\) −403.213 + 1160.73i −0.549337 + 1.58137i
\(735\) 105.248 686.386i 0.143194 0.933859i
\(736\) 528.089 + 53.4656i 0.717512 + 0.0726435i
\(737\) −491.671 851.599i −0.667125 1.15549i
\(738\) 252.497 + 1059.17i 0.342137 + 1.43519i
\(739\) 168.234 + 97.1298i 0.227651 + 0.131434i 0.609488 0.792795i \(-0.291375\pi\)
−0.381837 + 0.924230i \(0.624708\pi\)
\(740\) 47.1307 322.579i 0.0636902 0.435917i
\(741\) 16.5379 + 9.06084i 0.0223184 + 0.0122279i
\(742\) 418.978 80.2562i 0.564661 0.108162i
\(743\) −237.223 651.765i −0.319277 0.877207i −0.990692 0.136125i \(-0.956535\pi\)
0.671414 0.741082i \(1.73431\pi\)
\(744\) −469.387 230.828i −0.630897 0.310252i
\(745\) 76.0407 + 431.248i 0.102068 + 0.578857i
\(746\) 930.796 + 757.955i 1.24772 + 1.01603i
\(747\) −40.6051 906.478i −0.0543575 1.21349i
\(748\) 1098.40 227.218i 1.46844 0.303767i
\(749\) 378.007 317.185i 0.504682 0.423479i
\(750\) 111.681 101.004i 0.148908 0.134672i
\(751\) 826.362 + 145.710i 1.10035 + 0.194021i 0.694198 0.719785i \(-0.255759\pi\)
0.406152 + 0.913806i \(0.366871\pi\)
\(752\) −355.010 + 84.4122i −0.472087 + 0.112250i
\(753\) 941.029 + 1071.81i 1.24971 + 1.42339i
\(754\) 616.754 1105.53i 0.817976 1.46623i
\(755\) 517.988i 0.686077i