Properties

Label 483.2.bf.a.178.8
Level $483$
Weight $2$
Character 483.178
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 178.8
Character \(\chi\) \(=\) 483.178
Dual form 483.2.bf.a.19.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.80344 + 0.172208i) q^{2} +(0.690079 + 0.723734i) q^{3} +(1.25889 - 0.242631i) q^{4} +(2.30542 + 1.18853i) q^{5} +(-1.36915 - 1.18638i) q^{6} +(2.63811 + 0.200976i) q^{7} +(1.24797 - 0.366437i) q^{8} +(-0.0475819 + 0.998867i) q^{9} +O(q^{10})\) \(q+(-1.80344 + 0.172208i) q^{2} +(0.690079 + 0.723734i) q^{3} +(1.25889 - 0.242631i) q^{4} +(2.30542 + 1.18853i) q^{5} +(-1.36915 - 1.18638i) q^{6} +(2.63811 + 0.200976i) q^{7} +(1.24797 - 0.366437i) q^{8} +(-0.0475819 + 0.998867i) q^{9} +(-4.36237 - 1.74643i) q^{10} +(-0.336232 + 3.52118i) q^{11} +(1.04433 + 0.743667i) q^{12} +(3.67557 - 0.528467i) q^{13} +(-4.79228 + 0.0918545i) q^{14} +(0.730746 + 2.48869i) q^{15} +(-4.56798 + 1.82874i) q^{16} +(-1.78237 - 5.14982i) q^{17} +(-0.0862015 - 1.80959i) q^{18} +(2.68797 - 7.76638i) q^{19} +(3.19065 + 0.936859i) q^{20} +(1.67505 + 2.04798i) q^{21} -6.40814i q^{22} +(3.96084 + 2.70402i) q^{23} +(1.12640 + 0.650328i) q^{24} +(1.00209 + 1.40724i) q^{25} +(-6.53767 + 1.58602i) q^{26} +(-0.755750 + 0.654861i) q^{27} +(3.36985 - 0.387080i) q^{28} +(-5.10492 + 5.89139i) q^{29} +(-1.74643 - 4.36237i) q^{30} +(-6.35914 - 1.54271i) q^{31} +(5.61103 - 2.89269i) q^{32} +(-2.78042 + 2.18655i) q^{33} +(4.10124 + 8.98046i) q^{34} +(5.84309 + 3.59880i) q^{35} +(0.182456 + 1.26901i) q^{36} +(1.18866 + 0.0566228i) q^{37} +(-3.51017 + 14.4691i) q^{38} +(2.91890 + 2.29545i) q^{39} +(3.31262 + 0.638455i) q^{40} +(2.75749 + 4.29074i) q^{41} +(-3.37353 - 3.40495i) q^{42} +(1.88201 - 6.40953i) q^{43} +(0.431069 + 4.51435i) q^{44} +(-1.29688 + 2.24626i) q^{45} +(-7.60880 - 4.19446i) q^{46} +(-0.107463 + 0.0620438i) q^{47} +(-4.47579 - 2.04403i) q^{48} +(6.91922 + 1.06039i) q^{49} +(-2.04955 - 2.36531i) q^{50} +(2.49712 - 4.84374i) q^{51} +(4.49892 - 1.55709i) q^{52} +(-6.63674 + 8.43930i) q^{53} +(1.25018 - 1.31115i) q^{54} +(-4.96017 + 7.71818i) q^{55} +(3.36592 - 0.715888i) q^{56} +(7.47571 - 3.41404i) q^{57} +(8.19188 - 11.5039i) q^{58} +(-0.888807 + 2.22013i) q^{59} +(1.52376 + 2.95569i) q^{60} +(4.92883 + 4.69963i) q^{61} +(11.7340 + 1.68710i) q^{62} +(-0.326274 + 2.62556i) q^{63} +(-1.34234 + 0.862669i) q^{64} +(9.10185 + 3.15018i) q^{65} +(4.63779 - 4.42212i) q^{66} +(-7.92045 + 5.64013i) q^{67} +(-3.49331 - 6.05060i) q^{68} +(0.776299 + 4.73258i) q^{69} +(-11.1574 - 5.48400i) q^{70} +(0.643255 - 1.40853i) q^{71} +(0.306641 + 1.26399i) q^{72} +(1.56517 + 8.12088i) q^{73} +(-2.15343 + 0.102580i) q^{74} +(-0.326945 + 1.69635i) q^{75} +(1.49949 - 10.4292i) q^{76} +(-1.59469 + 9.22167i) q^{77} +(-5.65937 - 3.63706i) q^{78} +(-0.233305 - 0.296672i) q^{79} +(-12.7046 - 1.21315i) q^{80} +(-0.995472 - 0.0950560i) q^{81} +(-5.71188 - 7.26324i) q^{82} +(-11.7933 - 7.57909i) q^{83} +(2.60561 + 2.17176i) q^{84} +(2.01159 - 13.9909i) q^{85} +(-2.29032 + 11.8833i) q^{86} +(-7.78660 + 0.370921i) q^{87} +(0.870683 + 4.51753i) q^{88} +(-3.92880 - 16.1947i) q^{89} +(1.95202 - 4.27433i) q^{90} +(9.80276 - 0.655453i) q^{91} +(5.64234 + 2.44304i) q^{92} +(-3.27180 - 5.66692i) q^{93} +(0.183119 - 0.130398i) q^{94} +(15.4275 - 14.7101i) q^{95} +(5.96559 + 2.06471i) q^{96} +(4.66631 - 2.99885i) q^{97} +(-12.6610 - 0.720811i) q^{98} +(-3.50119 - 0.503395i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{7}{22}\right)\)

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 \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.80344 + 0.172208i −1.27523 + 0.121769i −0.710611 0.703585i \(-0.751581\pi\)
−0.564615 + 0.825354i \(0.690975\pi\)
\(3\) 0.690079 + 0.723734i 0.398417 + 0.417848i
\(4\) 1.25889 0.242631i 0.629445 0.121316i
\(5\) 2.30542 + 1.18853i 1.03102 + 0.531526i 0.888793 0.458309i \(-0.151545\pi\)
0.142223 + 0.989835i \(0.454575\pi\)
\(6\) −1.36915 1.18638i −0.558953 0.484336i
\(7\) 2.63811 + 0.200976i 0.997111 + 0.0759617i
\(8\) 1.24797 0.366437i 0.441224 0.129555i
\(9\) −0.0475819 + 0.998867i −0.0158606 + 0.332956i
\(10\) −4.36237 1.74643i −1.37950 0.552269i
\(11\) −0.336232 + 3.52118i −0.101378 + 1.06167i 0.791437 + 0.611251i \(0.209333\pi\)
−0.892815 + 0.450424i \(0.851273\pi\)
\(12\) 1.04433 + 0.743667i 0.301473 + 0.214678i
\(13\) 3.67557 0.528467i 1.01942 0.146570i 0.387715 0.921779i \(-0.373264\pi\)
0.631705 + 0.775209i \(0.282355\pi\)
\(14\) −4.79228 + 0.0918545i −1.28079 + 0.0245492i
\(15\) 0.730746 + 2.48869i 0.188678 + 0.642577i
\(16\) −4.56798 + 1.82874i −1.14200 + 0.457186i
\(17\) −1.78237 5.14982i −0.432288 1.24901i −0.925381 0.379038i \(-0.876255\pi\)
0.493093 0.869977i \(-0.335866\pi\)
\(18\) −0.0862015 1.80959i −0.0203179 0.426525i
\(19\) 2.68797 7.76638i 0.616663 1.78173i −0.00692320 0.999976i \(-0.502204\pi\)
0.623586 0.781755i \(-0.285675\pi\)
\(20\) 3.19065 + 0.936859i 0.713450 + 0.209488i
\(21\) 1.67505 + 2.04798i 0.365526 + 0.446905i
\(22\) 6.40814i 1.36622i
\(23\) 3.96084 + 2.70402i 0.825892 + 0.563828i
\(24\) 1.12640 + 0.650328i 0.229926 + 0.132748i
\(25\) 1.00209 + 1.40724i 0.200418 + 0.281448i
\(26\) −6.53767 + 1.58602i −1.28214 + 0.311045i
\(27\) −0.755750 + 0.654861i −0.145444 + 0.126028i
\(28\) 3.36985 0.387080i 0.636842 0.0731513i
\(29\) −5.10492 + 5.89139i −0.947960 + 1.09400i 0.0475050 + 0.998871i \(0.484873\pi\)
−0.995465 + 0.0951327i \(0.969672\pi\)
\(30\) −1.74643 4.36237i −0.318853 0.796456i
\(31\) −6.35914 1.54271i −1.14214 0.277079i −0.380309 0.924860i \(-0.624182\pi\)
−0.761827 + 0.647781i \(0.775697\pi\)
\(32\) 5.61103 2.89269i 0.991899 0.511359i
\(33\) −2.78042 + 2.18655i −0.484009 + 0.380629i
\(34\) 4.10124 + 8.98046i 0.703357 + 1.54014i
\(35\) 5.84309 + 3.59880i 0.987662 + 0.608308i
\(36\) 0.182456 + 1.26901i 0.0304093 + 0.211501i
\(37\) 1.18866 + 0.0566228i 0.195414 + 0.00930873i 0.145061 0.989423i \(-0.453662\pi\)
0.0503534 + 0.998731i \(0.483965\pi\)
\(38\) −3.51017 + 14.4691i −0.569425 + 2.34720i
\(39\) 2.91890 + 2.29545i 0.467399 + 0.367566i
\(40\) 3.31262 + 0.638455i 0.523771 + 0.100949i
\(41\) 2.75749 + 4.29074i 0.430648 + 0.670101i 0.986977 0.160861i \(-0.0514270\pi\)
−0.556329 + 0.830962i \(0.687791\pi\)
\(42\) −3.37353 3.40495i −0.520547 0.525395i
\(43\) 1.88201 6.40953i 0.287003 0.977443i −0.682197 0.731169i \(-0.738975\pi\)
0.969200 0.246275i \(-0.0792066\pi\)
\(44\) 0.431069 + 4.51435i 0.0649860 + 0.680564i
\(45\) −1.29688 + 2.24626i −0.193327 + 0.334853i
\(46\) −7.60880 4.19446i −1.12186 0.618440i
\(47\) −0.107463 + 0.0620438i −0.0156751 + 0.00905002i −0.507817 0.861465i \(-0.669547\pi\)
0.492142 + 0.870515i \(0.336214\pi\)
\(48\) −4.47579 2.04403i −0.646025 0.295030i
\(49\) 6.91922 + 1.06039i 0.988460 + 0.151484i
\(50\) −2.04955 2.36531i −0.289850 0.334505i
\(51\) 2.49712 4.84374i 0.349667 0.678260i
\(52\) 4.49892 1.55709i 0.623888 0.215930i
\(53\) −6.63674 + 8.43930i −0.911627 + 1.15923i 0.0751551 + 0.997172i \(0.476055\pi\)
−0.986782 + 0.162056i \(0.948188\pi\)
\(54\) 1.25018 1.31115i 0.170128 0.178425i
\(55\) −4.96017 + 7.71818i −0.668830 + 1.04072i
\(56\) 3.36592 0.715888i 0.449790 0.0956646i
\(57\) 7.47571 3.41404i 0.990182 0.452201i
\(58\) 8.19188 11.5039i 1.07565 1.51053i
\(59\) −0.888807 + 2.22013i −0.115713 + 0.289037i −0.974907 0.222613i \(-0.928541\pi\)
0.859194 + 0.511650i \(0.170966\pi\)
\(60\) 1.52376 + 2.95569i 0.196717 + 0.381577i
\(61\) 4.92883 + 4.69963i 0.631072 + 0.601726i 0.936576 0.350465i \(-0.113976\pi\)
−0.305504 + 0.952191i \(0.598825\pi\)
\(62\) 11.7340 + 1.68710i 1.49022 + 0.214261i
\(63\) −0.326274 + 2.62556i −0.0411067 + 0.330789i
\(64\) −1.34234 + 0.862669i −0.167792 + 0.107834i
\(65\) 9.10185 + 3.15018i 1.12894 + 0.390732i
\(66\) 4.63779 4.42212i 0.570872 0.544326i
\(67\) −7.92045 + 5.64013i −0.967637 + 0.689051i −0.950475 0.310801i \(-0.899403\pi\)
−0.0171623 + 0.999853i \(0.505463\pi\)
\(68\) −3.49331 6.05060i −0.423627 0.733743i
\(69\) 0.776299 + 4.73258i 0.0934554 + 0.569736i
\(70\) −11.1574 5.48400i −1.33357 0.655463i
\(71\) 0.643255 1.40853i 0.0763403 0.167162i −0.867614 0.497239i \(-0.834347\pi\)
0.943954 + 0.330077i \(0.107075\pi\)
\(72\) 0.306641 + 1.26399i 0.0361380 + 0.148963i
\(73\) 1.56517 + 8.12088i 0.183189 + 0.950477i 0.950857 + 0.309629i \(0.100205\pi\)
−0.767668 + 0.640848i \(0.778583\pi\)
\(74\) −2.15343 + 0.102580i −0.250331 + 0.0119247i
\(75\) −0.326945 + 1.69635i −0.0377524 + 0.195878i
\(76\) 1.49949 10.4292i 0.172004 1.19631i
\(77\) −1.59469 + 9.22167i −0.181731 + 1.05091i
\(78\) −5.65937 3.63706i −0.640797 0.411816i
\(79\) −0.233305 0.296672i −0.0262489 0.0333782i 0.772751 0.634709i \(-0.218880\pi\)
−0.799000 + 0.601331i \(0.794637\pi\)
\(80\) −12.7046 1.21315i −1.42042 0.135634i
\(81\) −0.995472 0.0950560i −0.110608 0.0105618i
\(82\) −5.71188 7.26324i −0.630771 0.802091i
\(83\) −11.7933 7.57909i −1.29448 0.831913i −0.301883 0.953345i \(-0.597615\pi\)
−0.992600 + 0.121432i \(0.961251\pi\)
\(84\) 2.60561 + 2.17176i 0.284295 + 0.236958i
\(85\) 2.01159 13.9909i 0.218187 1.51753i
\(86\) −2.29032 + 11.8833i −0.246971 + 1.28141i
\(87\) −7.78660 + 0.370921i −0.834811 + 0.0397669i
\(88\) 0.870683 + 4.51753i 0.0928151 + 0.481570i
\(89\) −3.92880 16.1947i −0.416452 1.71664i −0.663973 0.747757i \(-0.731131\pi\)
0.247520 0.968883i \(-0.420384\pi\)
\(90\) 1.95202 4.27433i 0.205761 0.450554i
\(91\) 9.80276 0.655453i 1.02761 0.0687101i
\(92\) 5.64234 + 2.44304i 0.588255 + 0.254705i
\(93\) −3.27180 5.66692i −0.339270 0.587632i
\(94\) 0.183119 0.130398i 0.0188873 0.0134496i
\(95\) 15.4275 14.7101i 1.58283 1.50922i
\(96\) 5.96559 + 2.06471i 0.608860 + 0.210729i
\(97\) 4.66631 2.99885i 0.473792 0.304487i −0.281867 0.959454i \(-0.590954\pi\)
0.755658 + 0.654966i \(0.227317\pi\)
\(98\) −12.6610 0.720811i −1.27896 0.0728129i
\(99\) −3.50119 0.503395i −0.351883 0.0505931i
\(100\) 1.60296 + 1.52842i 0.160296 + 0.152842i
\(101\) −6.82581 13.2402i −0.679194 1.31745i −0.936345 0.351081i \(-0.885814\pi\)
0.257152 0.966371i \(-0.417216\pi\)
\(102\) −3.66929 + 9.16544i −0.363314 + 0.907513i
\(103\) −7.22006 + 10.1392i −0.711414 + 0.999041i 0.287732 + 0.957711i \(0.407099\pi\)
−0.999146 + 0.0413299i \(0.986841\pi\)
\(104\) 4.39335 2.00638i 0.430804 0.196741i
\(105\) 1.42762 + 6.71230i 0.139321 + 0.655053i
\(106\) 10.5157 16.3627i 1.02137 1.58929i
\(107\) 2.42817 2.54659i 0.234740 0.246188i −0.595819 0.803119i \(-0.703172\pi\)
0.830559 + 0.556930i \(0.188021\pi\)
\(108\) −0.792516 + 1.00777i −0.0762599 + 0.0969723i
\(109\) −9.64876 + 3.33947i −0.924184 + 0.319863i −0.747391 0.664385i \(-0.768694\pi\)
−0.176793 + 0.984248i \(0.556572\pi\)
\(110\) 7.61625 14.7735i 0.726181 1.40860i
\(111\) 0.779289 + 0.899347i 0.0739668 + 0.0853622i
\(112\) −12.4184 + 3.90637i −1.17342 + 0.369117i
\(113\) 8.80751 + 4.02226i 0.828541 + 0.378382i 0.784103 0.620630i \(-0.213123\pi\)
0.0444376 + 0.999012i \(0.485850\pi\)
\(114\) −12.8941 + 7.44440i −1.20764 + 0.697232i
\(115\) 5.91760 + 10.9415i 0.551819 + 1.02030i
\(116\) −4.99710 + 8.65522i −0.463969 + 0.803617i
\(117\) 0.352978 + 3.69655i 0.0326328 + 0.341747i
\(118\) 1.22059 4.15694i 0.112364 0.382677i
\(119\) −3.66709 13.9440i −0.336162 1.27824i
\(120\) 1.82390 + 2.83804i 0.166498 + 0.259076i
\(121\) −1.48442 0.286099i −0.134947 0.0260090i
\(122\) −9.69817 7.62672i −0.878031 0.690491i
\(123\) −1.20247 + 4.95664i −0.108423 + 0.446925i
\(124\) −8.37977 0.399178i −0.752525 0.0358472i
\(125\) −1.20795 8.40148i −0.108042 0.751452i
\(126\) 0.136276 4.79122i 0.0121404 0.426836i
\(127\) −7.31171 16.0104i −0.648809 1.42069i −0.892593 0.450864i \(-0.851116\pi\)
0.243784 0.969830i \(-0.421611\pi\)
\(128\) −7.65210 + 6.01768i −0.676356 + 0.531892i
\(129\) 5.93752 3.06101i 0.522770 0.269507i
\(130\) −16.9571 4.11376i −1.48724 0.360800i
\(131\) 1.72750 + 4.31508i 0.150932 + 0.377011i 0.984495 0.175415i \(-0.0561267\pi\)
−0.833562 + 0.552425i \(0.813702\pi\)
\(132\) −2.96972 + 3.42724i −0.258481 + 0.298303i
\(133\) 8.65201 19.9483i 0.750225 1.72974i
\(134\) 13.3128 11.5356i 1.15005 0.996525i
\(135\) −2.52064 + 0.611501i −0.216942 + 0.0526297i
\(136\) −4.11143 5.77369i −0.352552 0.495090i
\(137\) 3.09601 + 1.78748i 0.264510 + 0.152715i 0.626390 0.779510i \(-0.284532\pi\)
−0.361880 + 0.932225i \(0.617865\pi\)
\(138\) −2.21500 8.40126i −0.188553 0.715163i
\(139\) 1.26421i 0.107229i −0.998562 0.0536143i \(-0.982926\pi\)
0.998562 0.0536143i \(-0.0170741\pi\)
\(140\) 8.22898 + 3.11278i 0.695476 + 0.263078i
\(141\) −0.119061 0.0349595i −0.0100268 0.00294412i
\(142\) −0.917512 + 2.65098i −0.0769959 + 0.222465i
\(143\) 0.624984 + 13.1200i 0.0522638 + 1.09715i
\(144\) −1.60932 4.64982i −0.134110 0.387485i
\(145\) −18.7711 + 7.51481i −1.55885 + 0.624071i
\(146\) −4.22117 14.3760i −0.349347 1.18977i
\(147\) 4.00737 + 5.73943i 0.330522 + 0.473380i
\(148\) 1.51013 0.217124i 0.124132 0.0178475i
\(149\) −4.80769 3.42354i −0.393861 0.280467i 0.365920 0.930646i \(-0.380754\pi\)
−0.759781 + 0.650179i \(0.774694\pi\)
\(150\) 0.297502 3.11558i 0.0242909 0.254386i
\(151\) 3.84321 + 1.53859i 0.312756 + 0.125209i 0.522730 0.852498i \(-0.324914\pi\)
−0.209974 + 0.977707i \(0.567338\pi\)
\(152\) 0.508617 10.6772i 0.0412543 0.866034i
\(153\) 5.22880 1.53531i 0.422723 0.124123i
\(154\) 1.28788 16.9054i 0.103780 1.36227i
\(155\) −12.8270 11.1146i −1.03029 0.892748i
\(156\) 4.23153 + 2.18150i 0.338793 + 0.174660i
\(157\) −13.4678 + 2.59571i −1.07485 + 0.207160i −0.695814 0.718222i \(-0.744956\pi\)
−0.379036 + 0.925382i \(0.623744\pi\)
\(158\) 0.471841 + 0.494853i 0.0375377 + 0.0393684i
\(159\) −10.6877 + 1.02055i −0.847589 + 0.0809349i
\(160\) 16.3738 1.29446
\(161\) 9.90568 + 7.92954i 0.780677 + 0.624935i
\(162\) 1.81165 0.142336
\(163\) −20.0262 + 1.91227i −1.56857 + 0.149780i −0.842827 0.538185i \(-0.819110\pi\)
−0.725744 + 0.687965i \(0.758504\pi\)
\(164\) 4.51245 + 4.73252i 0.352363 + 0.369548i
\(165\) −9.00882 + 1.73631i −0.701336 + 0.135171i
\(166\) 22.5737 + 11.6376i 1.75206 + 0.903249i
\(167\) −10.4723 9.07426i −0.810367 0.702187i 0.147606 0.989046i \(-0.452843\pi\)
−0.957973 + 0.286859i \(0.907389\pi\)
\(168\) 2.84087 + 1.94201i 0.219178 + 0.149830i
\(169\) 0.757140 0.222316i 0.0582416 0.0171013i
\(170\) −1.21844 + 25.5782i −0.0934501 + 1.96176i
\(171\) 7.62969 + 3.05447i 0.583457 + 0.233581i
\(172\) 0.814088 8.52552i 0.0620737 0.650065i
\(173\) 15.2925 + 10.8897i 1.16267 + 0.827931i 0.987656 0.156636i \(-0.0500648\pi\)
0.175010 + 0.984567i \(0.444004\pi\)
\(174\) 13.9788 2.00985i 1.05973 0.152366i
\(175\) 2.36080 + 3.91384i 0.178460 + 0.295859i
\(176\) −4.90343 16.6996i −0.369610 1.25878i
\(177\) −2.22013 + 0.888807i −0.166875 + 0.0668068i
\(178\) 9.87423 + 28.5297i 0.740105 + 2.13839i
\(179\) −0.0775378 1.62772i −0.00579545 0.121661i −0.999911 0.0133371i \(-0.995755\pi\)
0.994116 0.108324i \(-0.0345485\pi\)
\(180\) −1.08761 + 3.14246i −0.0810660 + 0.234225i
\(181\) 17.8134 + 5.23048i 1.32406 + 0.388779i 0.865956 0.500120i \(-0.166711\pi\)
0.458103 + 0.888899i \(0.348529\pi\)
\(182\) −17.5658 + 2.87018i −1.30207 + 0.212752i
\(183\) 6.81027i 0.503430i
\(184\) 5.93386 + 1.92314i 0.437450 + 0.141776i
\(185\) 2.67306 + 1.54329i 0.196528 + 0.113465i
\(186\) 6.87638 + 9.65653i 0.504201 + 0.708051i
\(187\) 18.7327 4.54451i 1.36987 0.332327i
\(188\) −0.120230 + 0.104180i −0.00876870 + 0.00759812i
\(189\) −2.12536 + 1.57571i −0.154597 + 0.114616i
\(190\) −25.2894 + 29.1855i −1.83468 + 2.11734i
\(191\) −7.11825 17.7805i −0.515059 1.28655i −0.926903 0.375300i \(-0.877540\pi\)
0.411845 0.911254i \(-0.364885\pi\)
\(192\) −1.55066 0.376187i −0.111909 0.0271489i
\(193\) 12.6009 6.49622i 0.907033 0.467608i 0.0594262 0.998233i \(-0.481073\pi\)
0.847607 + 0.530625i \(0.178043\pi\)
\(194\) −7.89899 + 6.21183i −0.567114 + 0.445983i
\(195\) 4.00110 + 8.76119i 0.286525 + 0.627402i
\(196\) 8.96782 0.343902i 0.640558 0.0245644i
\(197\) 1.70267 + 11.8424i 0.121311 + 0.843733i 0.956074 + 0.293125i \(0.0946951\pi\)
−0.834764 + 0.550608i \(0.814396\pi\)
\(198\) 6.40088 + 0.304912i 0.454891 + 0.0216691i
\(199\) 1.37442 5.66543i 0.0974299 0.401612i −0.902124 0.431477i \(-0.857993\pi\)
0.999554 + 0.0298653i \(0.00950782\pi\)
\(200\) 1.76624 + 1.38899i 0.124892 + 0.0982164i
\(201\) −9.54769 1.84017i −0.673442 0.129795i
\(202\) 14.5900 + 22.7025i 1.02655 + 1.59734i
\(203\) −14.6513 + 14.5162i −1.02832 + 1.01883i
\(204\) 1.96836 6.70362i 0.137813 0.469347i
\(205\) 1.25752 + 13.1693i 0.0878289 + 0.919786i
\(206\) 11.2749 19.5287i 0.785561 1.36063i
\(207\) −2.88943 + 3.82769i −0.200829 + 0.266043i
\(208\) −15.8235 + 9.13571i −1.09716 + 0.633447i
\(209\) 26.4430 + 12.0761i 1.82910 + 0.835323i
\(210\) −3.73054 11.8594i −0.257432 0.818376i
\(211\) 12.3521 + 14.2551i 0.850356 + 0.981363i 0.999973 0.00738105i \(-0.00234948\pi\)
−0.149617 + 0.988744i \(0.547804\pi\)
\(212\) −6.30729 + 12.2344i −0.433186 + 0.840264i
\(213\) 1.46330 0.506453i 0.100264 0.0347016i
\(214\) −3.94052 + 5.01078i −0.269369 + 0.342530i
\(215\) 11.9567 12.5398i 0.815442 0.855211i
\(216\) −0.703188 + 1.09418i −0.0478459 + 0.0744496i
\(217\) −16.4660 5.34787i −1.11779 0.363037i
\(218\) 16.8259 7.68413i 1.13959 0.520435i
\(219\) −4.79727 + 6.73682i −0.324169 + 0.455232i
\(220\) −4.37164 + 10.9198i −0.294736 + 0.736215i
\(221\) −9.27274 17.9866i −0.623752 1.20991i
\(222\) −1.56028 1.48772i −0.104719 0.0998493i
\(223\) 1.36836 + 0.196740i 0.0916319 + 0.0131747i 0.187978 0.982173i \(-0.439807\pi\)
−0.0963464 + 0.995348i \(0.530716\pi\)
\(224\) 15.3839 6.50353i 1.02788 0.434536i
\(225\) −1.45333 + 0.933997i −0.0968885 + 0.0622664i
\(226\) −16.5765 5.73718i −1.10265 0.381632i
\(227\) 5.56505 5.30626i 0.369365 0.352189i −0.482550 0.875868i \(-0.660289\pi\)
0.851916 + 0.523679i \(0.175441\pi\)
\(228\) 8.58274 6.11174i 0.568406 0.404760i
\(229\) 0.900036 + 1.55891i 0.0594761 + 0.103016i 0.894230 0.447607i \(-0.147724\pi\)
−0.834754 + 0.550623i \(0.814390\pi\)
\(230\) −12.5563 18.7133i −0.827936 1.23392i
\(231\) −7.77449 + 5.20955i −0.511524 + 0.342763i
\(232\) −4.21196 + 9.22291i −0.276529 + 0.605514i
\(233\) −0.241082 0.993754i −0.0157938 0.0651030i 0.963369 0.268178i \(-0.0864216\pi\)
−0.979163 + 0.203075i \(0.934906\pi\)
\(234\) −1.27315 6.60573i −0.0832285 0.431830i
\(235\) −0.321488 + 0.0153144i −0.0209716 + 0.000999000i
\(236\) −0.580237 + 3.01055i −0.0377702 + 0.195970i
\(237\) 0.0537124 0.373578i 0.00348899 0.0242665i
\(238\) 9.01466 + 24.5157i 0.584333 + 1.58912i
\(239\) −7.25843 4.66471i −0.469509 0.301735i 0.284410 0.958703i \(-0.408202\pi\)
−0.753919 + 0.656968i \(0.771839\pi\)
\(240\) −7.88921 10.0319i −0.509246 0.647560i
\(241\) 20.8394 + 1.98992i 1.34238 + 0.128182i 0.741391 0.671073i \(-0.234166\pi\)
0.600992 + 0.799255i \(0.294772\pi\)
\(242\) 2.72633 + 0.260333i 0.175255 + 0.0167349i
\(243\) −0.618159 0.786053i −0.0396549 0.0504253i
\(244\) 7.34513 + 4.72043i 0.470224 + 0.302194i
\(245\) 14.6914 + 10.6683i 0.938600 + 0.681575i
\(246\) 1.31501 9.14609i 0.0838419 0.583133i
\(247\) 5.77555 29.9664i 0.367490 1.90672i
\(248\) −8.50132 + 0.404968i −0.539835 + 0.0257155i
\(249\) −2.65306 13.7654i −0.168131 0.872346i
\(250\) 3.62527 + 14.9436i 0.229282 + 0.945114i
\(251\) 6.94542 15.2084i 0.438391 0.959943i −0.553500 0.832849i \(-0.686708\pi\)
0.991891 0.127093i \(-0.0405647\pi\)
\(252\) 0.226298 + 3.38445i 0.0142554 + 0.213200i
\(253\) −10.8531 + 13.0376i −0.682329 + 0.819670i
\(254\) 15.9434 + 27.6147i 1.00038 + 1.73270i
\(255\) 11.5139 8.19898i 0.721025 0.513440i
\(256\) 15.0735 14.3725i 0.942091 0.898282i
\(257\) 1.21872 + 0.421802i 0.0760214 + 0.0263113i 0.364814 0.931080i \(-0.381133\pi\)
−0.288793 + 0.957392i \(0.593254\pi\)
\(258\) −10.1809 + 6.54284i −0.633832 + 0.407339i
\(259\) 3.12443 + 0.388269i 0.194143 + 0.0241258i
\(260\) 12.2226 + 1.75734i 0.758010 + 0.108985i
\(261\) −5.64182 5.37946i −0.349220 0.332980i
\(262\) −3.85853 7.48451i −0.238381 0.462395i
\(263\) −8.36337 + 20.8907i −0.515707 + 1.28817i 0.410741 + 0.911752i \(0.365270\pi\)
−0.926448 + 0.376422i \(0.877154\pi\)
\(264\) −2.66865 + 3.74760i −0.164244 + 0.230649i
\(265\) −25.3308 + 11.5682i −1.55606 + 0.710629i
\(266\) −12.1681 + 37.4656i −0.746077 + 2.29716i
\(267\) 9.00950 14.0191i 0.551373 0.857953i
\(268\) −8.60250 + 9.02205i −0.525482 + 0.551109i
\(269\) −9.10694 + 11.5804i −0.555260 + 0.706070i −0.979944 0.199271i \(-0.936143\pi\)
0.424684 + 0.905341i \(0.360385\pi\)
\(270\) 4.44053 1.53688i 0.270242 0.0935316i
\(271\) −1.94520 + 3.77316i −0.118162 + 0.229203i −0.940498 0.339800i \(-0.889641\pi\)
0.822335 + 0.569003i \(0.192671\pi\)
\(272\) 17.5595 + 20.2648i 1.06470 + 1.22873i
\(273\) 7.23905 + 6.64228i 0.438127 + 0.402009i
\(274\) −5.89129 2.69046i −0.355906 0.162537i
\(275\) −5.29207 + 3.05538i −0.319124 + 0.184246i
\(276\) 2.12555 + 5.76945i 0.127943 + 0.347280i
\(277\) 2.80527 4.85887i 0.168552 0.291941i −0.769359 0.638817i \(-0.779424\pi\)
0.937911 + 0.346876i \(0.112757\pi\)
\(278\) 0.217706 + 2.27992i 0.0130572 + 0.136741i
\(279\) 1.84354 6.27853i 0.110370 0.375886i
\(280\) 8.61073 + 2.35007i 0.514590 + 0.140443i
\(281\) −8.27001 12.8684i −0.493348 0.767664i 0.501912 0.864919i \(-0.332630\pi\)
−0.995260 + 0.0972548i \(0.968994\pi\)
\(282\) 0.220740 + 0.0425442i 0.0131449 + 0.00253347i
\(283\) −16.1617 12.7097i −0.960711 0.755512i 0.00895118 0.999960i \(-0.497151\pi\)
−0.969662 + 0.244448i \(0.921393\pi\)
\(284\) 0.468033 1.92926i 0.0277727 0.114480i
\(285\) 21.2924 + 1.01428i 1.26125 + 0.0600808i
\(286\) −3.38649 23.5536i −0.200248 1.39275i
\(287\) 6.41222 + 11.8736i 0.378502 + 0.700878i
\(288\) 2.62243 + 5.74231i 0.154528 + 0.338369i
\(289\) −9.98090 + 7.84907i −0.587112 + 0.461710i
\(290\) 32.5584 16.7850i 1.91190 0.985652i
\(291\) 5.39049 + 1.30772i 0.315996 + 0.0766598i
\(292\) 3.94076 + 9.84353i 0.230615 + 0.576049i
\(293\) −8.12043 + 9.37147i −0.474400 + 0.547487i −0.941630 0.336649i \(-0.890707\pi\)
0.467230 + 0.884136i \(0.345252\pi\)
\(294\) −8.21543 9.66062i −0.479133 0.563419i
\(295\) −4.68777 + 4.06197i −0.272932 + 0.236497i
\(296\) 1.50416 0.364905i 0.0874275 0.0212097i
\(297\) −2.05177 2.88131i −0.119056 0.167191i
\(298\) 9.25995 + 5.34623i 0.536415 + 0.309699i
\(299\) 15.9873 + 7.84566i 0.924572 + 0.453726i
\(300\) 2.21485i 0.127874i
\(301\) 6.25309 16.5308i 0.360422 0.952818i
\(302\) −7.19597 2.11293i −0.414082 0.121585i
\(303\) 4.87205 14.0769i 0.279892 0.808695i
\(304\) 1.92412 + 40.3923i 0.110356 + 2.31666i
\(305\) 5.77739 + 16.6927i 0.330813 + 0.955820i
\(306\) −9.16544 + 3.66929i −0.523953 + 0.209759i
\(307\) −2.86405 9.75406i −0.163460 0.556694i −0.999962 0.00872958i \(-0.997221\pi\)
0.836502 0.547964i \(-0.184597\pi\)
\(308\) 0.229929 + 11.9960i 0.0131014 + 0.683535i
\(309\) −12.3205 + 1.77142i −0.700887 + 0.100772i
\(310\) 25.0467 + 17.8357i 1.42256 + 1.01300i
\(311\) 0.705658 7.38999i 0.0400142 0.419048i −0.953165 0.302451i \(-0.902195\pi\)
0.993179 0.116597i \(-0.0371986\pi\)
\(312\) 4.48384 + 1.79506i 0.253848 + 0.101625i
\(313\) 1.37265 28.8155i 0.0775868 1.62875i −0.539594 0.841925i \(-0.681422\pi\)
0.617181 0.786821i \(-0.288275\pi\)
\(314\) 23.8414 7.00048i 1.34545 0.395060i
\(315\) −3.87275 + 5.66523i −0.218205 + 0.319200i
\(316\) −0.365687 0.316870i −0.0205715 0.0178253i
\(317\) 17.4624 + 9.00251i 0.980787 + 0.505631i 0.872566 0.488496i \(-0.162454\pi\)
0.108221 + 0.994127i \(0.465485\pi\)
\(318\) 19.0989 3.68101i 1.07101 0.206421i
\(319\) −19.0282 19.9562i −1.06537 1.11733i
\(320\) −4.11996 + 0.393409i −0.230313 + 0.0219922i
\(321\) 3.51869 0.196394
\(322\) −19.2298 12.5946i −1.07164 0.701871i
\(323\) −44.7864 −2.49198
\(324\) −1.27625 + 0.121867i −0.0709029 + 0.00677041i
\(325\) 4.42694 + 4.64284i 0.245562 + 0.257538i
\(326\) 35.7867 6.89733i 1.98204 0.382008i
\(327\) −9.07530 4.67864i −0.501865 0.258729i
\(328\) 5.01355 + 4.34427i 0.276827 + 0.239872i
\(329\) −0.295968 + 0.142081i −0.0163173 + 0.00783316i
\(330\) 15.9479 4.68272i 0.877902 0.257775i
\(331\) 1.13694 23.8673i 0.0624920 1.31187i −0.722071 0.691819i \(-0.756810\pi\)
0.784563 0.620049i \(-0.212887\pi\)
\(332\) −16.6854 6.67982i −0.915729 0.366603i
\(333\) −0.113117 + 1.18462i −0.00619879 + 0.0649167i
\(334\) 20.4488 + 14.5615i 1.11891 + 0.796769i
\(335\) −24.9634 + 3.58920i −1.36390 + 0.196099i
\(336\) −11.3968 6.29189i −0.621748 0.343250i
\(337\) 5.56883 + 18.9657i 0.303353 + 1.03313i 0.960249 + 0.279145i \(0.0900511\pi\)
−0.656895 + 0.753982i \(0.728131\pi\)
\(338\) −1.32717 + 0.531320i −0.0721888 + 0.0289000i
\(339\) 3.16684 + 9.14997i 0.171999 + 0.496958i
\(340\) −0.862261 18.1011i −0.0467627 0.981669i
\(341\) 7.57030 21.8730i 0.409955 1.18449i
\(342\) −14.2857 4.19466i −0.772482 0.226821i
\(343\) 18.0405 + 4.18802i 0.974097 + 0.226132i
\(344\) 8.68853i 0.468454i
\(345\) −3.83511 + 11.8333i −0.206476 + 0.637081i
\(346\) −29.4544 17.0055i −1.58348 0.914222i
\(347\) −18.4106 25.8541i −0.988333 1.38792i −0.920727 0.390207i \(-0.872404\pi\)
−0.0676053 0.997712i \(-0.521536\pi\)
\(348\) −9.71247 + 2.35622i −0.520643 + 0.126307i
\(349\) 4.15750 3.60249i 0.222546 0.192837i −0.536451 0.843932i \(-0.680235\pi\)
0.758997 + 0.651095i \(0.225690\pi\)
\(350\) −4.93156 6.65184i −0.263603 0.355556i
\(351\) −2.43174 + 2.80638i −0.129797 + 0.149793i
\(352\) 8.29905 + 20.7300i 0.442341 + 1.10491i
\(353\) 1.89400 + 0.459480i 0.100808 + 0.0244557i 0.285845 0.958276i \(-0.407726\pi\)
−0.185038 + 0.982731i \(0.559241\pi\)
\(354\) 3.85082 1.98524i 0.204669 0.105514i
\(355\) 3.15705 2.48273i 0.167559 0.131770i
\(356\) −8.87528 19.4341i −0.470389 1.03001i
\(357\) 7.56116 12.2765i 0.400179 0.649739i
\(358\) 0.420141 + 2.92215i 0.0222051 + 0.154440i
\(359\) 8.28197 + 0.394519i 0.437106 + 0.0208219i 0.264982 0.964253i \(-0.414634\pi\)
0.172124 + 0.985075i \(0.444937\pi\)
\(360\) −0.795353 + 3.27849i −0.0419188 + 0.172792i
\(361\) −38.1565 30.0066i −2.00824 1.57930i
\(362\) −33.0261 6.36527i −1.73582 0.334551i
\(363\) −0.817308 1.27176i −0.0428975 0.0667499i
\(364\) 12.1816 3.20360i 0.638487 0.167914i
\(365\) −6.04351 + 20.5823i −0.316332 + 1.07733i
\(366\) −1.17278 12.2819i −0.0613023 0.641987i
\(367\) 4.88904 8.46806i 0.255206 0.442029i −0.709746 0.704458i \(-0.751190\pi\)
0.964951 + 0.262429i \(0.0845235\pi\)
\(368\) −23.0380 5.10857i −1.20094 0.266302i
\(369\) −4.41709 + 2.55021i −0.229944 + 0.132758i
\(370\) −5.08648 2.32292i −0.264434 0.120763i
\(371\) −19.2045 + 20.9300i −0.997049 + 1.08663i
\(372\) −5.49380 6.34019i −0.284840 0.328723i
\(373\) −14.4797 + 28.0868i −0.749733 + 1.45428i 0.136306 + 0.990667i \(0.456477\pi\)
−0.886038 + 0.463612i \(0.846553\pi\)
\(374\) −33.0008 + 11.4217i −1.70643 + 0.590601i
\(375\) 5.24686 6.67192i 0.270947 0.344537i
\(376\) −0.111375 + 0.116807i −0.00574375 + 0.00602387i
\(377\) −15.6501 + 24.3520i −0.806020 + 1.25419i
\(378\) 3.56161 3.20770i 0.183190 0.164986i
\(379\) −3.86368 + 1.76448i −0.198464 + 0.0906354i −0.512168 0.858885i \(-0.671157\pi\)
0.313704 + 0.949521i \(0.398430\pi\)
\(380\) 15.8524 22.2615i 0.813209 1.14199i
\(381\) 6.54162 16.3402i 0.335137 0.837133i
\(382\) 15.8993 + 30.8403i 0.813479 + 1.57793i
\(383\) 8.75201 + 8.34503i 0.447207 + 0.426411i 0.879921 0.475120i \(-0.157595\pi\)
−0.432714 + 0.901531i \(0.642444\pi\)
\(384\) −9.63575 1.38541i −0.491722 0.0706990i
\(385\) −14.6366 + 19.3645i −0.745952 + 0.986907i
\(386\) −21.6063 + 13.8855i −1.09973 + 0.706755i
\(387\) 6.31272 + 2.18485i 0.320893 + 0.111062i
\(388\) 5.14675 4.90742i 0.261287 0.249136i
\(389\) 8.35174 5.94725i 0.423450 0.301538i −0.348395 0.937348i \(-0.613273\pi\)
0.771845 + 0.635810i \(0.219334\pi\)
\(390\) −8.72450 15.1113i −0.441782 0.765189i
\(391\) 6.86555 25.2172i 0.347206 1.27529i
\(392\) 9.02354 1.21212i 0.455758 0.0612214i
\(393\) −1.93086 + 4.22800i −0.0973991 + 0.213274i
\(394\) −5.11002 21.0638i −0.257439 1.06118i
\(395\) −0.185264 0.961243i −0.00932167 0.0483654i
\(396\) −4.52975 + 0.215779i −0.227629 + 0.0108433i
\(397\) −1.91920 + 9.95777i −0.0963220 + 0.499766i 0.901440 + 0.432904i \(0.142511\pi\)
−0.997762 + 0.0668624i \(0.978701\pi\)
\(398\) −1.50305 + 10.4540i −0.0753412 + 0.524010i
\(399\) 20.4079 7.50417i 1.02167 0.375678i
\(400\) −7.15101 4.59568i −0.357551 0.229784i
\(401\) −15.1786 19.3011i −0.757982 0.963852i 0.241998 0.970277i \(-0.422197\pi\)
−0.999979 + 0.00642478i \(0.997955\pi\)
\(402\) 17.5356 + 1.67445i 0.874596 + 0.0835138i
\(403\) −24.1888 2.30975i −1.20493 0.115057i
\(404\) −11.8054 15.0118i −0.587342 0.746867i
\(405\) −2.18201 1.40229i −0.108425 0.0696804i
\(406\) 23.9231 28.7021i 1.18728 1.42446i
\(407\) −0.599044 + 4.16644i −0.0296935 + 0.206523i
\(408\) 1.34141 6.95989i 0.0664096 0.344566i
\(409\) 10.3285 0.492007i 0.510711 0.0243282i 0.209355 0.977840i \(-0.432864\pi\)
0.301356 + 0.953512i \(0.402561\pi\)
\(410\) −4.53572 23.5336i −0.224003 1.16224i
\(411\) 0.842829 + 3.47419i 0.0415737 + 0.171369i
\(412\) −6.62919 + 14.5159i −0.326597 + 0.715147i
\(413\) −2.79096 + 5.67832i −0.137334 + 0.279412i
\(414\) 4.55175 7.40060i 0.223706 0.363720i
\(415\) −18.1806 31.4897i −0.892449 1.54577i
\(416\) 19.0950 13.5975i 0.936212 0.666673i
\(417\) 0.914949 0.872402i 0.0448053 0.0427217i
\(418\) −49.7681 17.2249i −2.43424 0.842497i
\(419\) 2.87334 1.84659i 0.140372 0.0902116i −0.468570 0.883426i \(-0.655231\pi\)
0.608942 + 0.793215i \(0.291594\pi\)
\(420\) 3.42583 + 8.10366i 0.167163 + 0.395418i
\(421\) 31.5915 + 4.54218i 1.53968 + 0.221372i 0.859293 0.511483i \(-0.170904\pi\)
0.680384 + 0.732856i \(0.261813\pi\)
\(422\) −24.7312 23.5811i −1.20390 1.14791i
\(423\) −0.0568602 0.110293i −0.00276464 0.00536265i
\(424\) −5.18998 + 12.9639i −0.252048 + 0.629585i
\(425\) 5.46093 7.66881i 0.264894 0.371992i
\(426\) −2.55176 + 1.16535i −0.123633 + 0.0564614i
\(427\) 12.0583 + 13.3887i 0.583540 + 0.647924i
\(428\) 2.43892 3.79503i 0.117890 0.183440i
\(429\) −9.06412 + 9.50618i −0.437620 + 0.458963i
\(430\) −19.4038 + 24.6739i −0.935734 + 1.18988i
\(431\) 11.2679 3.89987i 0.542757 0.187850i −0.0419128 0.999121i \(-0.513345\pi\)
0.584670 + 0.811271i \(0.301224\pi\)
\(432\) 2.25468 4.37346i 0.108478 0.210418i
\(433\) 17.2277 + 19.8818i 0.827909 + 0.955458i 0.999559 0.0296998i \(-0.00945514\pi\)
−0.171650 + 0.985158i \(0.554910\pi\)
\(434\) 30.6165 + 6.80899i 1.46964 + 0.326842i
\(435\) −18.3922 8.39946i −0.881841 0.402723i
\(436\) −11.3365 + 6.54511i −0.542918 + 0.313454i
\(437\) 31.6471 23.4931i 1.51389 1.12383i
\(438\) 7.49146 12.9756i 0.357956 0.619997i
\(439\) 1.92844 + 20.1955i 0.0920392 + 0.963878i 0.917053 + 0.398766i \(0.130561\pi\)
−0.825014 + 0.565113i \(0.808833\pi\)
\(440\) −3.36192 + 11.4497i −0.160273 + 0.545841i
\(441\) −1.38842 + 6.86092i −0.0661152 + 0.326711i
\(442\) 19.8203 + 30.8410i 0.942755 + 1.46696i
\(443\) −6.40508 1.23448i −0.304315 0.0586518i 0.0348080 0.999394i \(-0.488918\pi\)
−0.339123 + 0.940742i \(0.610130\pi\)
\(444\) 1.19925 + 0.943099i 0.0569138 + 0.0447575i
\(445\) 10.1904 42.0052i 0.483069 1.99124i
\(446\) −2.50163 0.119167i −0.118456 0.00564274i
\(447\) −0.839953 5.84200i −0.0397284 0.276317i
\(448\) −3.71461 + 2.00603i −0.175499 + 0.0947762i
\(449\) −7.64712 16.7449i −0.360890 0.790239i −0.999781 0.0209414i \(-0.993334\pi\)
0.638891 0.769298i \(-0.279394\pi\)
\(450\) 2.46015 1.93468i 0.115973 0.0912018i
\(451\) −16.0356 + 8.26694i −0.755088 + 0.389275i
\(452\) 12.0636 + 2.92660i 0.567425 + 0.137656i
\(453\) 1.53859 + 3.84321i 0.0722893 + 0.180570i
\(454\) −9.12246 + 10.5279i −0.428138 + 0.494098i
\(455\) 23.3785 + 10.1398i 1.09600 + 0.475359i
\(456\) 8.07843 7.00000i 0.378307 0.327805i
\(457\) 0.292632 0.0709918i 0.0136887 0.00332085i −0.228909 0.973448i \(-0.573516\pi\)
0.242597 + 0.970127i \(0.422001\pi\)
\(458\) −1.89162 2.65641i −0.0883895 0.124126i
\(459\) 4.71944 + 2.72477i 0.220285 + 0.127181i
\(460\) 10.1044 + 12.3383i 0.471118 + 0.575278i
\(461\) 15.1544i 0.705809i 0.935659 + 0.352904i \(0.114806\pi\)
−0.935659 + 0.352904i \(0.885194\pi\)
\(462\) 13.1237 10.7340i 0.610571 0.499389i
\(463\) 3.53127 + 1.03688i 0.164112 + 0.0481877i 0.362756 0.931884i \(-0.381836\pi\)
−0.198644 + 0.980072i \(0.563654\pi\)
\(464\) 12.5453 36.2474i 0.582402 1.68274i
\(465\) −0.807584 16.9533i −0.0374508 0.786189i
\(466\) 0.605910 + 1.75066i 0.0280682 + 0.0810978i
\(467\) 9.31255 3.72818i 0.430934 0.172520i −0.146047 0.989278i \(-0.546655\pi\)
0.576981 + 0.816758i \(0.304231\pi\)
\(468\) 1.34126 + 4.56791i 0.0619997 + 0.211152i
\(469\) −22.0285 + 13.2874i −1.01718 + 0.613557i
\(470\) 0.577148 0.0829814i 0.0266219 0.00382765i
\(471\) −11.1725 7.95588i −0.514800 0.366588i
\(472\) −0.295666 + 3.09635i −0.0136091 + 0.142521i
\(473\) 21.9363 + 8.78196i 1.00863 + 0.403795i
\(474\) −0.0325341 + 0.682975i −0.00149434 + 0.0313701i
\(475\) 13.6228 4.00000i 0.625055 0.183533i
\(476\) −7.99971 16.6642i −0.366666 0.763802i
\(477\) −8.11396 7.03078i −0.371512 0.321917i
\(478\) 13.8934 + 7.16257i 0.635472 + 0.327608i
\(479\) 22.7961 4.39359i 1.04158 0.200748i 0.360350 0.932817i \(-0.382657\pi\)
0.681231 + 0.732069i \(0.261445\pi\)
\(480\) 11.2992 + 11.8503i 0.515737 + 0.540890i
\(481\) 4.39892 0.420046i 0.200574 0.0191525i
\(482\) −37.9253 −1.72745
\(483\) 1.09682 + 12.6411i 0.0499073 + 0.575189i
\(484\) −1.93814 −0.0880972
\(485\) 14.3220 1.36759i 0.650330 0.0620990i
\(486\) 1.25018 + 1.31115i 0.0567092 + 0.0594749i
\(487\) −12.4895 + 2.40715i −0.565953 + 0.109079i −0.464199 0.885731i \(-0.653658\pi\)
−0.101754 + 0.994810i \(0.532446\pi\)
\(488\) 7.87315 + 4.05889i 0.356401 + 0.183737i
\(489\) −15.2036 13.1740i −0.687531 0.595749i
\(490\) −28.3323 16.7097i −1.27992 0.754869i
\(491\) −15.2861 + 4.48842i −0.689854 + 0.202559i −0.607826 0.794070i \(-0.707958\pi\)
−0.0820286 + 0.996630i \(0.526140\pi\)
\(492\) −0.311139 + 6.53162i −0.0140273 + 0.294468i
\(493\) 39.4385 + 15.7888i 1.77622 + 0.711091i
\(494\) −5.25542 + 55.0373i −0.236453 + 2.47624i
\(495\) −7.47342 5.32180i −0.335905 0.239197i
\(496\) 31.8697 4.58217i 1.43099 0.205745i
\(497\) 1.98006 3.58658i 0.0888176 0.160880i
\(498\) 7.15515 + 24.3682i 0.320630 + 1.09196i
\(499\) −18.6718 + 7.47505i −0.835863 + 0.334629i −0.749803 0.661661i \(-0.769852\pi\)
−0.0860597 + 0.996290i \(0.527428\pi\)
\(500\) −3.55914 10.2835i −0.159170 0.459890i
\(501\) −0.659332 13.8411i −0.0294568 0.618374i
\(502\) −9.90667 + 28.6234i −0.442156 + 1.27753i
\(503\) −36.1919 10.6269i −1.61372 0.473831i −0.654398 0.756150i \(-0.727078\pi\)
−0.959320 + 0.282320i \(0.908896\pi\)
\(504\) 0.554921 + 3.39617i 0.0247181 + 0.151278i
\(505\) 38.6370i 1.71932i
\(506\) 17.3278 25.3816i 0.770313 1.12835i
\(507\) 0.683385 + 0.394552i 0.0303502 + 0.0175227i
\(508\) −13.0893 18.3813i −0.580742 0.815538i
\(509\) −22.5973 + 5.48204i −1.00161 + 0.242987i −0.702847 0.711341i \(-0.748088\pi\)
−0.298760 + 0.954328i \(0.596573\pi\)
\(510\) −19.3526 + 16.7692i −0.856949 + 0.742551i
\(511\) 2.49699 + 21.7383i 0.110460 + 0.961646i
\(512\) −11.9591 + 13.8016i −0.528524 + 0.609949i
\(513\) 3.05447 + 7.62969i 0.134858 + 0.336859i
\(514\) −2.27052 0.550823i −0.100148 0.0242957i
\(515\) −28.6960 + 14.7938i −1.26450 + 0.651893i
\(516\) 6.73199 5.29410i 0.296360 0.233060i
\(517\) −0.182335 0.399257i −0.00801907 0.0175593i
\(518\) −5.70159 0.162169i −0.250513 0.00712529i
\(519\) 2.67176 + 18.5825i 0.117277 + 0.815680i
\(520\) 12.5132 + 0.596076i 0.548739 + 0.0261397i
\(521\) 3.84296 15.8409i 0.168363 0.694003i −0.823567 0.567219i \(-0.808019\pi\)
0.991930 0.126784i \(-0.0404655\pi\)
\(522\) 11.1011 + 8.72998i 0.485881 + 0.382101i
\(523\) 7.00678 + 1.35045i 0.306385 + 0.0590509i 0.340127 0.940380i \(-0.389530\pi\)
−0.0337413 + 0.999431i \(0.510742\pi\)
\(524\) 3.22170 + 5.01307i 0.140741 + 0.218997i
\(525\) −1.20344 + 4.40945i −0.0525226 + 0.192444i
\(526\) 11.4853 39.1154i 0.500783 1.70551i
\(527\) 3.38966 + 35.4981i 0.147656 + 1.54632i
\(528\) 8.70228 15.0728i 0.378718 0.655959i
\(529\) 8.37651 + 21.4204i 0.364196 + 0.931322i
\(530\) 43.6906 25.2248i 1.89780 1.09569i
\(531\) −2.17533 0.993438i −0.0944011 0.0431115i
\(532\) 6.05184 27.2120i 0.262381 1.17979i
\(533\) 12.4029 + 14.3137i 0.537228 + 0.619994i
\(534\) −13.8339 + 26.8341i −0.598652 + 1.16122i
\(535\) 8.62466 2.98502i 0.372877 0.129054i
\(536\) −7.81773 + 9.94106i −0.337675 + 0.429388i
\(537\) 1.12453 1.17937i 0.0485270 0.0508937i
\(538\) 14.4296 22.4529i 0.622104 0.968013i
\(539\) −6.06029 + 24.0073i −0.261035 + 1.03407i
\(540\) −3.02484 + 1.38140i −0.130168 + 0.0594460i
\(541\) 22.9886 32.2829i 0.988356 1.38795i 0.0676430 0.997710i \(-0.478452\pi\)
0.920713 0.390242i \(-0.127608\pi\)
\(542\) 2.85829 7.13965i 0.122774 0.306674i
\(543\) 8.50717 + 16.5016i 0.365078 + 0.708152i
\(544\) −24.8977 23.7399i −1.06748 1.01784i
\(545\) −26.2135 3.76894i −1.12286 0.161444i
\(546\) −14.1991 10.7323i −0.607664 0.459302i
\(547\) 22.7199 14.6012i 0.971432 0.624301i 0.0442926 0.999019i \(-0.485897\pi\)
0.927139 + 0.374717i \(0.122260\pi\)
\(548\) 4.33123 + 1.49905i 0.185021 + 0.0640364i
\(549\) −4.92883 + 4.69963i −0.210357 + 0.200575i
\(550\) 9.01779 6.42154i 0.384520 0.273815i
\(551\) 32.0329 + 55.4826i 1.36465 + 2.36364i
\(552\) 2.70299 + 5.62166i 0.115047 + 0.239274i
\(553\) −0.555860 0.829540i −0.0236376 0.0352756i
\(554\) −4.22240 + 9.24577i −0.179393 + 0.392815i
\(555\) 0.727691 + 2.99958i 0.0308887 + 0.127325i
\(556\) −0.306736 1.59150i −0.0130085 0.0674945i
\(557\) 4.29462 0.204578i 0.181969 0.00866824i 0.0436002 0.999049i \(-0.486117\pi\)
0.138368 + 0.990381i \(0.455814\pi\)
\(558\) −2.24351 + 11.6404i −0.0949754 + 0.492779i
\(559\) 3.53022 24.5532i 0.149313 1.03849i
\(560\) −33.2724 5.75374i −1.40602 0.243140i
\(561\) 16.2161 + 10.4214i 0.684643 + 0.439993i
\(562\) 17.1305 + 21.7832i 0.722608 + 0.918870i
\(563\) 17.6407 + 1.68449i 0.743469 + 0.0709927i 0.459914 0.887963i \(-0.347880\pi\)
0.283555 + 0.958956i \(0.408486\pi\)
\(564\) −0.158367 0.0151222i −0.00666846 0.000636761i
\(565\) 15.5245 + 19.7410i 0.653120 + 0.830509i
\(566\) 31.3353 + 20.1380i 1.31712 + 0.846463i
\(567\) −2.60706 0.450834i −0.109486 0.0189332i
\(568\) 0.286625 1.99352i 0.0120265 0.0836461i
\(569\) −4.22238 + 21.9078i −0.177011 + 0.918421i 0.779428 + 0.626491i \(0.215510\pi\)
−0.956440 + 0.291930i \(0.905703\pi\)
\(570\) −38.5742 + 1.83752i −1.61570 + 0.0769650i
\(571\) 4.69344 + 24.3519i 0.196414 + 1.01909i 0.937579 + 0.347771i \(0.113061\pi\)
−0.741165 + 0.671323i \(0.765726\pi\)
\(572\) 3.97011 + 16.3650i 0.165999 + 0.684256i
\(573\) 7.95622 17.4217i 0.332376 0.727802i
\(574\) −13.6088 20.3092i −0.568021 0.847688i
\(575\) 0.163913 + 8.28353i 0.00683564 + 0.345447i
\(576\) −0.797821 1.38187i −0.0332425 0.0575777i
\(577\) 19.2359 13.6978i 0.800800 0.570247i −0.104744 0.994499i \(-0.533402\pi\)
0.905544 + 0.424252i \(0.139463\pi\)
\(578\) 16.6483 15.8741i 0.692478 0.660277i
\(579\) 13.3972 + 4.63680i 0.556767 + 0.192699i
\(580\) −21.8074 + 14.0148i −0.905503 + 0.581931i
\(581\) −29.5888 22.3646i −1.22755 0.927841i
\(582\) −9.94664 1.43011i −0.412301 0.0592800i
\(583\) −27.4848 26.2067i −1.13830 1.08537i
\(584\) 4.92908 + 9.56108i 0.203967 + 0.395640i
\(585\) −3.57969 + 8.94164i −0.148002 + 0.369691i
\(586\) 13.0309 18.2993i 0.538301 0.755938i
\(587\) −0.428037 + 0.195478i −0.0176670 + 0.00806825i −0.424229 0.905555i \(-0.639455\pi\)
0.406562 + 0.913623i \(0.366728\pi\)
\(588\) 6.43739 + 6.25299i 0.265474 + 0.257869i
\(589\) −29.0745 + 45.2408i −1.19799 + 1.86411i
\(590\) 7.75461 8.13280i 0.319252 0.334822i
\(591\) −7.39574 + 9.40445i −0.304220 + 0.386847i
\(592\) −5.53332 + 1.91510i −0.227418 + 0.0787102i
\(593\) 4.37906 8.49419i 0.179826 0.348815i −0.781643 0.623726i \(-0.785618\pi\)
0.961470 + 0.274911i \(0.0886485\pi\)
\(594\) 4.19644 + 4.84295i 0.172182 + 0.198709i
\(595\) 8.11862 36.5052i 0.332831 1.49657i
\(596\) −6.88301 3.14337i −0.281939 0.128757i
\(597\) 5.04872 2.91488i 0.206630 0.119298i
\(598\) −30.1833 11.3960i −1.23429 0.466019i
\(599\) 4.03241 6.98433i 0.164760 0.285372i −0.771810 0.635853i \(-0.780648\pi\)
0.936570 + 0.350481i \(0.113982\pi\)
\(600\) 0.213589 + 2.23680i 0.00871973 + 0.0913171i
\(601\) −5.00114 + 17.0323i −0.204001 + 0.694763i 0.792400 + 0.610001i \(0.208831\pi\)
−0.996401 + 0.0847617i \(0.972987\pi\)
\(602\) −8.43036 + 30.8891i −0.343596 + 1.25895i
\(603\) −5.25687 8.17985i −0.214076 0.333109i
\(604\) 5.21149 + 1.00443i 0.212053 + 0.0408698i
\(605\) −3.08218 2.42385i −0.125308 0.0985436i
\(606\) −6.36232 + 26.2258i −0.258451 + 1.06535i
\(607\) −39.6694 1.88969i −1.61013 0.0767000i −0.776900 0.629624i \(-0.783209\pi\)
−0.833232 + 0.552924i \(0.813512\pi\)
\(608\) −7.38343 51.3529i −0.299437 2.08263i
\(609\) −20.6164 0.586387i −0.835420 0.0237616i
\(610\) −13.2938 29.1094i −0.538250 1.17860i
\(611\) −0.362200 + 0.284837i −0.0146530 + 0.0115233i
\(612\) 6.20996 3.20146i 0.251023 0.129411i
\(613\) −20.5695 4.99010i −0.830793 0.201548i −0.202261 0.979332i \(-0.564829\pi\)
−0.628532 + 0.777783i \(0.716344\pi\)
\(614\) 6.84487 + 17.0977i 0.276237 + 0.690006i
\(615\) −8.66331 + 9.99799i −0.349338 + 0.403158i
\(616\) 1.38904 + 12.0927i 0.0559660 + 0.487229i
\(617\) 7.88094 6.82887i 0.317275 0.274920i −0.481634 0.876372i \(-0.659957\pi\)
0.798909 + 0.601452i \(0.205411\pi\)
\(618\) 21.9142 5.31633i 0.881518 0.213854i
\(619\) −12.3513 17.3450i −0.496440 0.697153i 0.488006 0.872840i \(-0.337724\pi\)
−0.984446 + 0.175688i \(0.943785\pi\)
\(620\) −18.8445 10.8799i −0.756812 0.436946i
\(621\) −4.76416 + 0.550234i −0.191179 + 0.0220801i
\(622\) 13.4489i 0.539253i
\(623\) −7.10985 43.5131i −0.284850 1.74331i
\(624\) −17.5313 5.14765i −0.701814 0.206071i
\(625\) 10.0257 28.9674i 0.401029 1.15870i
\(626\) 2.48675 + 52.2034i 0.0993907 + 2.08647i
\(627\) 9.50788 + 27.4712i 0.379708 + 1.09709i
\(628\) −16.3247 + 6.53543i −0.651427 + 0.260792i
\(629\) −1.82703 6.22230i −0.0728486 0.248099i
\(630\) 6.00868 10.8838i 0.239391 0.433622i
\(631\) 12.9814 1.86644i 0.516781 0.0743019i 0.121010 0.992651i \(-0.461387\pi\)
0.395771 + 0.918349i \(0.370478\pi\)
\(632\) −0.399869 0.284746i −0.0159059 0.0113266i
\(633\) −1.79297 + 18.7768i −0.0712641 + 0.746312i
\(634\) −33.0428 13.2283i −1.31230 0.525364i
\(635\) 2.17224 45.6009i 0.0862027 1.80962i
\(636\) −13.2070 + 3.87793i −0.523692 + 0.153770i
\(637\) 25.9925 + 0.240963i 1.02986 + 0.00954730i
\(638\) 37.7529 + 32.7130i 1.49465 + 1.29512i
\(639\) 1.37633 + 0.709547i 0.0544467 + 0.0280692i
\(640\) −24.7935 + 4.77855i −0.980049 + 0.188889i
\(641\) −21.9341 23.0038i −0.866345 0.908597i 0.130213 0.991486i \(-0.458434\pi\)
−0.996559 + 0.0828892i \(0.973585\pi\)
\(642\) −6.34575 + 0.605945i −0.250447 + 0.0239148i
\(643\) 27.4231 1.08146 0.540730 0.841196i \(-0.318148\pi\)
0.540730 + 0.841196i \(0.318148\pi\)
\(644\) 14.3941 + 7.57899i 0.567207 + 0.298654i
\(645\) 17.3266 0.682234
\(646\) 80.7697 7.71258i 3.17784 0.303447i
\(647\) 18.3557 + 19.2509i 0.721635 + 0.756829i 0.977740 0.209820i \(-0.0672877\pi\)
−0.256105 + 0.966649i \(0.582439\pi\)
\(648\) −1.27715 + 0.246151i −0.0501712 + 0.00966971i
\(649\) −7.51863 3.87613i −0.295132 0.152151i
\(650\) −8.78326 7.61074i −0.344508 0.298518i
\(651\) −7.49244 15.6075i −0.293652 0.611706i
\(652\) −24.7468 + 7.26631i −0.969158 + 0.284571i
\(653\) −0.735647 + 15.4431i −0.0287881 + 0.604337i 0.937672 + 0.347521i \(0.112976\pi\)
−0.966460 + 0.256816i \(0.917327\pi\)
\(654\) 17.1725 + 6.87482i 0.671497 + 0.268827i
\(655\) −1.14598 + 12.0013i −0.0447772 + 0.468928i
\(656\) −20.4428 14.5573i −0.798159 0.568366i
\(657\) −8.18616 + 1.17699i −0.319372 + 0.0459188i
\(658\) 0.509294 0.307202i 0.0198543 0.0119760i
\(659\) 2.31125 + 7.87138i 0.0900334 + 0.306626i 0.992182 0.124800i \(-0.0398289\pi\)
−0.902149 + 0.431426i \(0.858011\pi\)
\(660\) −10.9198 + 4.37164i −0.425054 + 0.170166i
\(661\) 7.52222 + 21.7340i 0.292581 + 0.845356i 0.991494 + 0.130150i \(0.0415459\pi\)
−0.698914 + 0.715206i \(0.746333\pi\)
\(662\) 2.05973 + 43.2391i 0.0800539 + 1.68054i
\(663\) 6.61860 19.1232i 0.257045 0.742683i
\(664\) −17.4949 5.13698i −0.678935 0.199353i
\(665\) 43.6557 35.7062i 1.69290 1.38463i
\(666\) 2.15587i 0.0835383i
\(667\) −36.1502 + 9.53104i −1.39974 + 0.369043i
\(668\) −15.3851 8.88260i −0.595268 0.343678i
\(669\) 0.801886 + 1.12609i 0.0310027 + 0.0435372i
\(670\) 44.4020 10.7718i 1.71540 0.416151i
\(671\) −18.2054 + 15.7751i −0.702814 + 0.608991i
\(672\) 15.3229 + 6.64586i 0.591094 + 0.256370i
\(673\) −14.0550 + 16.2204i −0.541782 + 0.625250i −0.958949 0.283580i \(-0.908478\pi\)
0.417166 + 0.908830i \(0.363023\pi\)
\(674\) −13.3091 33.2445i −0.512647 1.28053i
\(675\) −1.67888 0.407291i −0.0646200 0.0156766i
\(676\) 0.899215 0.463578i 0.0345852 0.0178299i
\(677\) 14.9349 11.7450i 0.573996 0.451396i −0.288485 0.957484i \(-0.593152\pi\)
0.862481 + 0.506089i \(0.168909\pi\)
\(678\) −7.28690 15.9561i −0.279852 0.612790i
\(679\) 12.9129 6.97348i 0.495552 0.267618i
\(680\) −2.61638 18.1974i −0.100334 0.697837i
\(681\) 7.68065 + 0.365874i 0.294323 + 0.0140203i
\(682\) −9.88591 + 40.7503i −0.378551 + 1.56041i
\(683\) 21.0623 + 16.5636i 0.805926 + 0.633787i 0.933716 0.358014i \(-0.116546\pi\)
−0.127791 + 0.991801i \(0.540789\pi\)
\(684\) 10.3460 + 1.99404i 0.395591 + 0.0762439i
\(685\) 5.01314 + 7.80059i 0.191542 + 0.298045i
\(686\) −33.2562 4.44613i −1.26973 0.169754i
\(687\) −0.507139 + 1.72716i −0.0193486 + 0.0658951i
\(688\) 3.12441 + 32.7203i 0.119117 + 1.24745i
\(689\) −19.9339 + 34.5266i −0.759422 + 1.31536i
\(690\) 4.87862 22.0010i 0.185726 0.837565i
\(691\) −18.9208 + 10.9239i −0.719780 + 0.415565i −0.814672 0.579922i \(-0.803083\pi\)
0.0948914 + 0.995488i \(0.469750\pi\)
\(692\) 21.8937 + 9.99854i 0.832275 + 0.380087i
\(693\) −9.13534 2.03166i −0.347023 0.0771766i
\(694\) 37.6547 + 43.4559i 1.42935 + 1.64956i
\(695\) 1.50254 2.91453i 0.0569948 0.110554i
\(696\) −9.58152 + 3.31620i −0.363187 + 0.125700i
\(697\) 17.1817 21.8483i 0.650802 0.827563i
\(698\) −6.87743 + 7.21284i −0.260315 + 0.273010i
\(699\) 0.552848 0.860248i 0.0209106 0.0325376i
\(700\) 3.92161 + 4.35430i 0.148223 + 0.164577i
\(701\) 11.2613 5.14286i 0.425333 0.194243i −0.191236 0.981544i \(-0.561249\pi\)
0.616569 + 0.787301i \(0.288522\pi\)
\(702\) 3.90222 5.47990i 0.147280 0.206826i
\(703\) 3.63484 9.07938i 0.137090 0.342435i
\(704\) −2.58627 5.01667i −0.0974738 0.189073i
\(705\) −0.232936 0.222104i −0.00877287 0.00836492i
\(706\) −3.49485 0.502484i −0.131531 0.0189112i
\(707\) −15.3463 36.3010i −0.577155 1.36524i
\(708\) −2.57925 + 1.65758i −0.0969341 + 0.0622958i
\(709\) 11.1065 + 3.84399i 0.417113 + 0.144364i 0.527560 0.849518i \(-0.323107\pi\)
−0.110447 + 0.993882i \(0.535228\pi\)
\(710\) −5.26602 + 5.02114i −0.197630 + 0.188440i
\(711\) 0.307437 0.218925i 0.0115298 0.00821032i
\(712\) −10.8374 18.7709i −0.406148 0.703469i
\(713\) −21.0160 23.3057i −0.787056 0.872805i
\(714\) −11.5220 + 23.4420i −0.431200 + 0.877293i
\(715\) −14.1527 + 30.9900i −0.529280 + 1.15896i
\(716\) −0.492547 2.03031i −0.0184073 0.0758761i
\(717\) −1.63288 8.47219i −0.0609810 0.316400i
\(718\) −15.0040 + 0.714728i −0.559944 + 0.0266734i
\(719\) −1.66576 + 8.64278i −0.0621223 + 0.322321i −0.999674 0.0255242i \(-0.991875\pi\)
0.937552 + 0.347846i \(0.113087\pi\)
\(720\) 1.81628 12.6325i 0.0676889 0.470787i
\(721\) −21.0850 + 25.2971i −0.785247 + 0.942114i
\(722\) 73.9804 + 47.5443i 2.75327 + 1.76942i
\(723\) 12.9406 + 16.4554i 0.481268 + 0.611982i
\(724\) 23.6942 + 2.26252i 0.880587 + 0.0840859i
\(725\) −13.4062 1.28014i −0.497893 0.0475431i
\(726\) 1.69297 + 2.15279i 0.0628322 + 0.0798976i
\(727\) −12.1176 7.78750i −0.449416 0.288822i 0.296289 0.955098i \(-0.404251\pi\)
−0.745705 + 0.666276i \(0.767887\pi\)
\(728\) 11.9934 4.41008i 0.444504 0.163448i
\(729\) 0.142315 0.989821i 0.00527092 0.0366601i
\(730\) 7.35469 38.1597i 0.272209 1.41236i
\(731\) −36.3623 + 1.73215i −1.34491 + 0.0640659i
\(732\) 1.65238 + 8.57339i 0.0610739 + 0.316881i
\(733\) 10.9912 + 45.3064i 0.405970 + 1.67343i 0.697277 + 0.716802i \(0.254395\pi\)
−0.291307 + 0.956630i \(0.594090\pi\)
\(734\) −7.35883 + 16.1136i −0.271619 + 0.594763i
\(735\) 2.41720 + 17.9947i 0.0891598 + 0.663743i
\(736\) 30.0463 + 3.71488i 1.10752 + 0.136932i
\(737\) −17.1968 29.7857i −0.633452 1.09717i
\(738\) 7.52680 5.35981i 0.277065 0.197297i
\(739\) 6.68564 6.37475i 0.245935 0.234499i −0.557078 0.830460i \(-0.688077\pi\)
0.803013 + 0.595962i \(0.203229\pi\)
\(740\) 3.73954 + 1.29427i 0.137468 + 0.0475783i
\(741\) 25.6733 16.4992i 0.943132 0.606114i
\(742\) 31.0299 41.0531i 1.13915 1.50711i
\(743\) 38.5168 + 5.53788i 1.41304 + 0.203165i 0.806194 0.591651i \(-0.201524\pi\)
0.606850 + 0.794816i \(0.292433\pi\)
\(744\) −6.15967 5.87324i −0.225825 0.215323i
\(745\) −7.01478 13.6068i −0.257002 0.498514i
\(746\) 21.2766 53.1464i 0.778992 1.94583i
\(747\) 8.13165 11.4193i 0.297522 0.417811i
\(748\) 22.4798 10.2662i 0.821942 0.375369i
\(749\) 6.91758 6.23018i 0.252763 0.227646i
\(750\) −8.31345 + 12.9360i −0.303564 + 0.472355i
\(751\) −2.72987 + 2.86300i −0.0996143 + 0.104472i −0.771654 0.636043i \(-0.780570\pi\)
0.672039 + 0.740515i \(0.265419\pi\)
\(752\) 0.377427 0.479937i 0.0137633 0.0175015i
\(753\) 15.7997 5.46833i 0.575773 0.199277i
\(754\) 24.0304 46.6125i 0.875136 1.69753i
\(755\) 7.03158 + 8.11487i 0.255905 + 0.295330i
\(756\) −2.29328 + 2.49932i −0.0834057 + 0.0908993i
\(757\) 5.17588 + 2.36374i 0.188121 + 0.0859118i 0.507248 0.861800i \(-0.330663\pi\)
−0.319128 + 0.947712i \(0.603390\pi\)
\(758\) 6.66406 3.84750i 0.242050 0.139747i
\(759\) −16.9253 + 1.14224i −0.614349 + 0.0414607i
\(760\) 13.8627 24.0109i 0.502853 0.870968i
\(761\) 2.50603 + 26.2444i 0.0908436 + 0.951358i 0.919890 + 0.392177i \(0.128278\pi\)
−0.829046 + 0.559180i \(0.811116\pi\)
\(762\) −8.98352 + 30.5951i −0.325439 + 1.10834i
\(763\) −26.1256 + 6.87071i −0.945811 + 0.248736i
\(764\) −13.2752 20.6566i −0.480280 0.747330i
\(765\) 13.8793 + 2.67502i 0.501809 + 0.0967157i
\(766\) −17.2208 13.5426i −0.622214 0.489314i
\(767\) −2.09361 + 8.62996i −0.0755957 + 0.311610i
\(768\) 20.8038 + 0.991005i 0.750691 + 0.0357598i
\(769\) 0.118329 + 0.822998i 0.00426706 + 0.0296781i 0.991844 0.127460i \(-0.0406824\pi\)
−0.987577 + 0.157138i \(0.949773\pi\)
\(770\) 23.0616 37.4433i 0.831083 1.34936i
\(771\) 0.535738 + 1.17310i 0.0192941 + 0.0422483i
\(772\) 14.2870 11.2354i 0.514199 0.404371i
\(773\) −11.7433 + 6.05409i −0.422377 + 0.217751i −0.656293 0.754506i