Properties

Label 354.3.h.a.5.2
Level 354
Weight 3
Character 354.5
Analytic conductor 9.646
Analytic rank 0
Dimension 1120
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 354 = 2 \cdot 3 \cdot 59 \)
Weight: \( k \) = \( 3 \)
Character orbit: \([\chi]\) = 354.h (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.64580135835\)
Analytic rank: \(0\)
Dimension: \(1120\)
Relative dimension: \(40\) over \(\Q(\zeta_{58})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 5.2
Character \(\chi\) = 354.5
Dual form 354.3.h.a.71.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.451561 + 1.34018i) q^{2} +(-2.92397 - 0.671113i) q^{3} +(-1.59219 - 1.21035i) q^{4} +(-8.23136 - 3.27967i) q^{5} +(2.21976 - 3.61561i) q^{6} +(-7.65524 + 3.54169i) q^{7} +(2.34106 - 1.58728i) q^{8} +(8.09922 + 3.92463i) q^{9} +O(q^{10})\) \(q+(-0.451561 + 1.34018i) q^{2} +(-2.92397 - 0.671113i) q^{3} +(-1.59219 - 1.21035i) q^{4} +(-8.23136 - 3.27967i) q^{5} +(2.21976 - 3.61561i) q^{6} +(-7.65524 + 3.54169i) q^{7} +(2.34106 - 1.58728i) q^{8} +(8.09922 + 3.92463i) q^{9} +(8.11232 - 9.55056i) q^{10} +(-20.3084 - 5.63860i) q^{11} +(3.84323 + 4.60756i) q^{12} +(-6.43972 + 12.1466i) q^{13} +(-1.28971 - 11.8587i) q^{14} +(21.8672 + 15.1138i) q^{15} +(1.07011 + 3.85420i) q^{16} +(12.6599 - 27.3639i) q^{17} +(-8.91701 + 9.08223i) q^{18} +(2.24322 - 0.493771i) q^{19} +(9.13631 + 15.1847i) q^{20} +(24.7606 - 5.21827i) q^{21} +(16.7272 - 24.6708i) q^{22} +(4.30170 + 0.705228i) q^{23} +(-7.91043 + 3.07004i) q^{24} +(38.8491 + 36.7998i) q^{25} +(-13.3708 - 14.1153i) q^{26} +(-21.0480 - 16.9110i) q^{27} +(16.4752 + 3.62647i) q^{28} +(11.2729 + 33.4567i) q^{29} +(-30.1297 + 22.4813i) q^{30} +(10.8083 + 2.37909i) q^{31} +(-5.64856 - 0.306256i) q^{32} +(55.5970 + 30.1163i) q^{33} +(30.9560 + 29.3231i) q^{34} +(74.6286 - 4.04624i) q^{35} +(-8.14529 - 16.0516i) q^{36} +(-9.30477 + 13.7235i) q^{37} +(-0.351208 + 3.22930i) q^{38} +(26.9813 - 31.1945i) q^{39} +(-24.4758 + 5.38754i) q^{40} +(-38.7354 + 6.35035i) q^{41} +(-4.18745 + 35.5401i) q^{42} +(-17.0363 - 61.3592i) q^{43} +(25.5101 + 33.5579i) q^{44} +(-53.7960 - 58.8678i) q^{45} +(-2.88761 + 5.44662i) q^{46} +(-34.9343 + 13.9191i) q^{47} +(-0.542379 - 11.9877i) q^{48} +(14.3372 - 16.8790i) q^{49} +(-66.8613 + 35.4476i) q^{50} +(-55.3815 + 71.5152i) q^{51} +(24.9549 - 11.5453i) q^{52} +(28.6050 - 24.2973i) q^{53} +(32.1683 - 20.5719i) q^{54} +(148.673 + 113.018i) q^{55} +(-12.2997 + 20.4423i) q^{56} +(-6.89050 - 0.0616838i) q^{57} -49.9285 q^{58} +(-57.0333 - 15.1062i) q^{59} +(-16.5237 - 50.5310i) q^{60} +(-49.2359 - 16.5895i) q^{61} +(-8.06904 + 13.4108i) q^{62} +(-75.9012 - 1.35905i) q^{63} +(2.96111 - 7.43181i) q^{64} +(92.8445 - 78.8629i) q^{65} +(-65.4668 + 60.9109i) q^{66} +(31.9323 + 47.0967i) q^{67} +(-53.2768 + 28.2456i) q^{68} +(-12.1048 - 4.94899i) q^{69} +(-28.2766 + 101.843i) q^{70} +(-9.14325 + 3.64301i) q^{71} +(25.1902 - 3.66792i) q^{72} +(103.845 - 11.2938i) q^{73} +(-14.1904 - 18.6671i) q^{74} +(-88.8968 - 133.674i) q^{75} +(-4.16927 - 1.92891i) q^{76} +(175.436 - 28.7612i) q^{77} +(29.6227 + 50.2461i) q^{78} +(-48.0799 + 28.9287i) q^{79} +(3.83203 - 35.2349i) q^{80} +(50.1946 + 63.5728i) q^{81} +(8.98075 - 54.7802i) q^{82} +(129.848 - 7.04016i) q^{83} +(-45.7394 - 21.6604i) q^{84} +(-193.953 + 183.722i) q^{85} +(89.9256 + 4.87562i) q^{86} +(-10.5084 - 105.392i) q^{87} +(-56.4931 + 19.0348i) q^{88} +(-14.7985 - 43.9204i) q^{89} +(103.186 - 45.5142i) q^{90} +(6.27809 - 115.793i) q^{91} +(-5.99554 - 6.32941i) q^{92} +(-30.0066 - 14.2100i) q^{93} +(-2.87920 - 53.1037i) q^{94} +(-20.0842 - 3.29264i) q^{95} +(16.3107 + 4.68630i) q^{96} +(-8.03328 - 0.873672i) q^{97} +(16.1469 + 26.8363i) q^{98} +(-142.353 - 125.371i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1120q + 80q^{4} - 8q^{6} - 8q^{7} + 24q^{9} + O(q^{10}) \) \( 1120q + 80q^{4} - 8q^{6} - 8q^{7} + 24q^{9} + 16q^{10} - 34q^{15} - 160q^{16} - 16q^{18} - 24q^{19} + 18q^{21} + 16q^{22} + 16q^{24} + 216q^{25} + 30q^{27} + 16q^{28} + 64q^{30} - 96q^{31} - 76q^{33} - 80q^{34} - 48q^{36} + 200q^{37} + 28q^{39} - 32q^{40} - 48q^{42} + 104q^{43} + 696q^{45} - 32q^{46} - 288q^{49} + 1800q^{51} + 852q^{54} - 360q^{55} + 76q^{57} + 128q^{58} - 280q^{60} + 32q^{61} - 1318q^{63} + 320q^{64} - 1512q^{66} + 344q^{67} - 2640q^{69} - 192q^{70} + 32q^{72} - 40q^{73} - 1014q^{75} + 48q^{76} - 96q^{78} - 32q^{79} - 336q^{81} + 80q^{82} - 36q^{84} - 168q^{85} + 162q^{87} - 32q^{88} - 112q^{90} - 88q^{91} + 316q^{93} + 400q^{94} - 32q^{96} + 184q^{97} + 148q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{3}{29}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.451561 + 1.34018i −0.225780 + 0.670092i
\(3\) −2.92397 0.671113i −0.974657 0.223704i
\(4\) −1.59219 1.21035i −0.398047 0.302587i
\(5\) −8.23136 3.27967i −1.64627 0.655934i −0.651556 0.758601i \(-0.725883\pi\)
−0.994716 + 0.102666i \(0.967263\pi\)
\(6\) 2.21976 3.61561i 0.369961 0.602602i
\(7\) −7.65524 + 3.54169i −1.09361 + 0.505956i −0.881928 0.471384i \(-0.843755\pi\)
−0.211677 + 0.977340i \(0.567893\pi\)
\(8\) 2.34106 1.58728i 0.292632 0.198410i
\(9\) 8.09922 + 3.92463i 0.899913 + 0.436070i
\(10\) 8.11232 9.55056i 0.811232 0.955056i
\(11\) −20.3084 5.63860i −1.84622 0.512600i −0.846416 0.532522i \(-0.821244\pi\)
−0.999802 + 0.0199228i \(0.993658\pi\)
\(12\) 3.84323 + 4.60756i 0.320269 + 0.383963i
\(13\) −6.43972 + 12.1466i −0.495363 + 0.934354i 0.502211 + 0.864745i \(0.332520\pi\)
−0.997574 + 0.0696091i \(0.977825\pi\)
\(14\) −1.28971 11.8587i −0.0921223 0.847051i
\(15\) 21.8672 + 15.1138i 1.45781 + 1.00759i
\(16\) 1.07011 + 3.85420i 0.0668821 + 0.240887i
\(17\) 12.6599 27.3639i 0.744701 1.60964i −0.0471195 0.998889i \(-0.515004\pi\)
0.791820 0.610755i \(-0.209134\pi\)
\(18\) −8.91701 + 9.08223i −0.495389 + 0.504568i
\(19\) 2.24322 0.493771i 0.118064 0.0259879i −0.155545 0.987829i \(-0.549713\pi\)
0.273610 + 0.961841i \(0.411782\pi\)
\(20\) 9.13631 + 15.1847i 0.456815 + 0.759233i
\(21\) 24.7606 5.21827i 1.17907 0.248489i
\(22\) 16.7272 24.6708i 0.760328 1.12140i
\(23\) 4.30170 + 0.705228i 0.187030 + 0.0306621i 0.254569 0.967055i \(-0.418066\pi\)
−0.0675387 + 0.997717i \(0.521515\pi\)
\(24\) −7.91043 + 3.07004i −0.329601 + 0.127918i
\(25\) 38.8491 + 36.7998i 1.55396 + 1.47199i
\(26\) −13.3708 14.1153i −0.514260 0.542898i
\(27\) −21.0480 16.9110i −0.779556 0.626333i
\(28\) 16.4752 + 3.62647i 0.588401 + 0.129517i
\(29\) 11.2729 + 33.4567i 0.388720 + 1.15368i 0.946226 + 0.323507i \(0.104862\pi\)
−0.557506 + 0.830173i \(0.688242\pi\)
\(30\) −30.1297 + 22.4813i −1.00432 + 0.749376i
\(31\) 10.8083 + 2.37909i 0.348656 + 0.0767450i 0.385846 0.922563i \(-0.373910\pi\)
−0.0371900 + 0.999308i \(0.511841\pi\)
\(32\) −5.64856 0.306256i −0.176517 0.00957050i
\(33\) 55.5970 + 30.1163i 1.68476 + 0.912616i
\(34\) 30.9560 + 29.3231i 0.910471 + 0.862444i
\(35\) 74.6286 4.04624i 2.13224 0.115607i
\(36\) −8.14529 16.0516i −0.226258 0.445878i
\(37\) −9.30477 + 13.7235i −0.251480 + 0.370906i −0.932385 0.361466i \(-0.882276\pi\)
0.680905 + 0.732372i \(0.261587\pi\)
\(38\) −0.351208 + 3.22930i −0.00924231 + 0.0849816i
\(39\) 26.9813 31.1945i 0.691828 0.799860i
\(40\) −24.4758 + 5.38754i −0.611896 + 0.134688i
\(41\) −38.7354 + 6.35035i −0.944766 + 0.154887i −0.614425 0.788975i \(-0.710612\pi\)
−0.330341 + 0.943862i \(0.607164\pi\)
\(42\) −4.18745 + 35.5401i −0.0997012 + 0.846192i
\(43\) −17.0363 61.3592i −0.396193 1.42696i −0.845689 0.533677i \(-0.820810\pi\)
0.449495 0.893283i \(-0.351604\pi\)
\(44\) 25.5101 + 33.5579i 0.579774 + 0.762680i
\(45\) −53.7960 58.8678i −1.19547 1.30817i
\(46\) −2.88761 + 5.44662i −0.0627742 + 0.118405i
\(47\) −34.9343 + 13.9191i −0.743283 + 0.296151i −0.710870 0.703324i \(-0.751699\pi\)
−0.0324131 + 0.999475i \(0.510319\pi\)
\(48\) −0.542379 11.9877i −0.0112996 0.249745i
\(49\) 14.3372 16.8790i 0.292595 0.344470i
\(50\) −66.8613 + 35.4476i −1.33723 + 0.708952i
\(51\) −55.3815 + 71.5152i −1.08591 + 1.40226i
\(52\) 24.9549 11.5453i 0.479901 0.222026i
\(53\) 28.6050 24.2973i 0.539717 0.458440i −0.335589 0.942008i \(-0.608935\pi\)
0.875307 + 0.483568i \(0.160660\pi\)
\(54\) 32.1683 20.5719i 0.595709 0.380961i
\(55\) 148.673 + 113.018i 2.70314 + 2.05488i
\(56\) −12.2997 + 20.4423i −0.219638 + 0.365041i
\(57\) −6.89050 0.0616838i −0.120886 0.00108217i
\(58\) −49.9285 −0.860837
\(59\) −57.0333 15.1062i −0.966667 0.256038i
\(60\) −16.5237 50.5310i −0.275395 0.842183i
\(61\) −49.2359 16.5895i −0.807145 0.271959i −0.114673 0.993403i \(-0.536582\pi\)
−0.692472 + 0.721444i \(0.743479\pi\)
\(62\) −8.06904 + 13.4108i −0.130146 + 0.216304i
\(63\) −75.9012 1.35905i −1.20478 0.0215722i
\(64\) 2.96111 7.43181i 0.0462673 0.116122i
\(65\) 92.8445 78.8629i 1.42838 1.21327i
\(66\) −65.4668 + 60.9109i −0.991922 + 0.922892i
\(67\) 31.9323 + 47.0967i 0.476602 + 0.702935i 0.987660 0.156611i \(-0.0500568\pi\)
−0.511059 + 0.859546i \(0.670746\pi\)
\(68\) −53.2768 + 28.2456i −0.783483 + 0.415376i
\(69\) −12.1048 4.94899i −0.175431 0.0717245i
\(70\) −28.2766 + 101.843i −0.403952 + 1.45490i
\(71\) −9.14325 + 3.64301i −0.128778 + 0.0513099i −0.433637 0.901088i \(-0.642770\pi\)
0.304859 + 0.952398i \(0.401391\pi\)
\(72\) 25.1902 3.66792i 0.349864 0.0509433i
\(73\) 103.845 11.2938i 1.42253 0.154709i 0.635726 0.771915i \(-0.280701\pi\)
0.786802 + 0.617206i \(0.211735\pi\)
\(74\) −14.1904 18.6671i −0.191762 0.252258i
\(75\) −88.8968 133.674i −1.18529 1.78232i
\(76\) −4.16927 1.92891i −0.0548588 0.0253804i
\(77\) 175.436 28.7612i 2.27839 0.373522i
\(78\) 29.6227 + 50.2461i 0.379779 + 0.644181i
\(79\) −48.0799 + 28.9287i −0.608606 + 0.366186i −0.786250 0.617909i \(-0.787980\pi\)
0.177644 + 0.984095i \(0.443153\pi\)
\(80\) 3.83203 35.2349i 0.0479004 0.440436i
\(81\) 50.1946 + 63.5728i 0.619686 + 0.784850i
\(82\) 8.98075 54.7802i 0.109521 0.668051i
\(83\) 129.848 7.04016i 1.56443 0.0848212i 0.748567 0.663059i \(-0.230742\pi\)
0.815868 + 0.578238i \(0.196260\pi\)
\(84\) −45.7394 21.6604i −0.544516 0.257862i
\(85\) −193.953 + 183.722i −2.28180 + 2.16144i
\(86\) 89.9256 + 4.87562i 1.04565 + 0.0566933i
\(87\) −10.5084 105.392i −0.120786 1.21140i
\(88\) −56.4931 + 19.0348i −0.641967 + 0.216304i
\(89\) −14.7985 43.9204i −0.166275 0.493488i 0.831829 0.555032i \(-0.187294\pi\)
−0.998104 + 0.0615441i \(0.980398\pi\)
\(90\) 103.186 45.5142i 1.14651 0.505714i
\(91\) 6.27809 115.793i 0.0689900 1.27245i
\(92\) −5.99554 6.32941i −0.0651689 0.0687979i
\(93\) −30.0066 14.2100i −0.322652 0.152796i
\(94\) −2.87920 53.1037i −0.0306298 0.564933i
\(95\) −20.0842 3.29264i −0.211413 0.0346593i
\(96\) 16.3107 + 4.68630i 0.169903 + 0.0488156i
\(97\) −8.03328 0.873672i −0.0828173 0.00900693i 0.0666165 0.997779i \(-0.478780\pi\)
−0.149434 + 0.988772i \(0.547745\pi\)
\(98\) 16.1469 + 26.8363i 0.164764 + 0.273840i
\(99\) −142.353 125.371i −1.43791 1.26637i
\(100\) −17.3144 105.613i −0.173144 1.05613i
\(101\) 22.8721 49.4372i 0.226457 0.489478i −0.760726 0.649073i \(-0.775157\pi\)
0.987183 + 0.159595i \(0.0510190\pi\)
\(102\) −70.8354 106.515i −0.694464 1.04426i
\(103\) 29.4846 22.4136i 0.286258 0.217608i −0.452184 0.891925i \(-0.649355\pi\)
0.738442 + 0.674317i \(0.235562\pi\)
\(104\) 4.20426 + 38.6575i 0.0404256 + 0.371707i
\(105\) −220.927 38.2531i −2.10407 0.364315i
\(106\) 19.6460 + 49.3077i 0.185339 + 0.465167i
\(107\) −18.6066 5.16609i −0.173893 0.0482812i 0.179490 0.983760i \(-0.442555\pi\)
−0.353384 + 0.935479i \(0.614969\pi\)
\(108\) 13.0442 + 52.4009i 0.120779 + 0.485193i
\(109\) −12.8666 24.2689i −0.118042 0.222651i 0.817449 0.576001i \(-0.195387\pi\)
−0.935491 + 0.353350i \(0.885043\pi\)
\(110\) −218.600 + 148.214i −1.98727 + 1.34740i
\(111\) 36.4169 33.8826i 0.328080 0.305249i
\(112\) −21.8424 25.7148i −0.195021 0.229596i
\(113\) −36.9087 14.7058i −0.326626 0.130140i 0.201061 0.979579i \(-0.435561\pi\)
−0.527686 + 0.849439i \(0.676940\pi\)
\(114\) 3.19415 9.20668i 0.0280188 0.0807604i
\(115\) −33.0959 19.9132i −0.287791 0.173158i
\(116\) 22.5458 66.9134i 0.194360 0.576840i
\(117\) −99.8276 + 73.1045i −0.853227 + 0.624824i
\(118\) 45.9991 69.6138i 0.389823 0.589947i
\(119\) 254.315i 2.13710i
\(120\) 75.1823 + 0.673033i 0.626519 + 0.00560861i
\(121\) 276.957 + 166.640i 2.28890 + 1.37719i
\(122\) 44.4659 58.4940i 0.364475 0.479459i
\(123\) 117.523 + 7.42759i 0.955472 + 0.0603869i
\(124\) −14.3293 16.8698i −0.115559 0.136047i
\(125\) −106.077 229.282i −0.848616 1.83425i
\(126\) 36.0954 101.108i 0.286471 0.802444i
\(127\) −14.1533 26.6960i −0.111443 0.210205i 0.821517 0.570185i \(-0.193128\pi\)
−0.932960 + 0.359980i \(0.882783\pi\)
\(128\) 8.62288 + 7.32434i 0.0673662 + 0.0572214i
\(129\) 8.63472 + 190.846i 0.0669358 + 1.47943i
\(130\) 63.7658 + 160.040i 0.490506 + 1.23108i
\(131\) −88.2140 46.7681i −0.673389 0.357008i 0.0963675 0.995346i \(-0.469278\pi\)
−0.769757 + 0.638338i \(0.779622\pi\)
\(132\) −52.0696 115.243i −0.394466 0.873050i
\(133\) −15.4236 + 11.7247i −0.115967 + 0.0881559i
\(134\) −77.5376 + 21.5282i −0.578638 + 0.160658i
\(135\) 117.791 + 208.231i 0.872527 + 1.54245i
\(136\) −13.7966 84.1554i −0.101445 0.618789i
\(137\) −0.630216 2.86310i −0.00460012 0.0208985i 0.974265 0.225407i \(-0.0723713\pi\)
−0.978865 + 0.204509i \(0.934440\pi\)
\(138\) 12.0986 13.9878i 0.0876710 0.101361i
\(139\) −200.358 21.7902i −1.44142 0.156764i −0.646240 0.763134i \(-0.723660\pi\)
−0.795183 + 0.606370i \(0.792625\pi\)
\(140\) −123.720 83.8842i −0.883714 0.599173i
\(141\) 111.488 17.2542i 0.790696 0.122370i
\(142\) −0.753565 13.8987i −0.00530679 0.0978780i
\(143\) 199.270 210.367i 1.39350 1.47110i
\(144\) −6.45922 + 35.4158i −0.0448557 + 0.245943i
\(145\) 16.9360 312.365i 0.116800 2.15424i
\(146\) −31.7564 + 144.271i −0.217509 + 0.988155i
\(147\) −53.2492 + 39.7319i −0.362239 + 0.270285i
\(148\) 31.4252 10.5884i 0.212332 0.0715430i
\(149\) −47.3646 + 215.180i −0.317883 + 1.44416i 0.498622 + 0.866820i \(0.333840\pi\)
−0.816505 + 0.577338i \(0.804091\pi\)
\(150\) 219.290 58.7763i 1.46193 0.391842i
\(151\) 91.4919 86.6657i 0.605906 0.573945i −0.322009 0.946737i \(-0.604358\pi\)
0.927915 + 0.372792i \(0.121599\pi\)
\(152\) 4.46777 4.71656i 0.0293932 0.0310300i
\(153\) 209.929 171.941i 1.37208 1.12380i
\(154\) −40.6745 + 248.104i −0.264120 + 1.61106i
\(155\) −81.1646 55.0310i −0.523643 0.355038i
\(156\) −80.7155 + 17.0107i −0.517407 + 0.109043i
\(157\) 218.864 131.686i 1.39404 0.838764i 0.397160 0.917749i \(-0.369996\pi\)
0.996876 + 0.0789854i \(0.0251681\pi\)
\(158\) −17.0588 77.4990i −0.107967 0.490500i
\(159\) −99.9465 + 51.8475i −0.628594 + 0.326085i
\(160\) 45.4909 + 21.0463i 0.284318 + 0.131540i
\(161\) −35.4282 + 9.83660i −0.220051 + 0.0610969i
\(162\) −107.865 + 38.5630i −0.665834 + 0.238043i
\(163\) −112.332 + 12.2168i −0.689151 + 0.0749497i −0.445992 0.895037i \(-0.647149\pi\)
−0.243159 + 0.969987i \(0.578184\pi\)
\(164\) 69.3601 + 36.7724i 0.422928 + 0.224222i
\(165\) −358.867 430.238i −2.17495 2.60750i
\(166\) −49.1992 + 177.199i −0.296380 + 1.06747i
\(167\) 21.5583 + 18.3118i 0.129092 + 0.109652i 0.709607 0.704598i \(-0.248873\pi\)
−0.580515 + 0.814250i \(0.697149\pi\)
\(168\) 49.6831 51.5181i 0.295733 0.306656i
\(169\) −11.2294 16.5621i −0.0664459 0.0980004i
\(170\) −158.640 342.894i −0.933175 2.01703i
\(171\) 20.1062 + 4.80466i 0.117580 + 0.0280974i
\(172\) −47.1411 + 118.315i −0.274076 + 0.687879i
\(173\) −56.4841 + 74.3035i −0.326497 + 0.429500i −0.929830 0.367990i \(-0.880046\pi\)
0.603332 + 0.797490i \(0.293839\pi\)
\(174\) 145.990 + 33.5077i 0.839021 + 0.192573i
\(175\) −427.733 144.120i −2.44419 0.823542i
\(176\) 84.3065i 0.479014i
\(177\) 156.626 + 82.4460i 0.884892 + 0.465797i
\(178\) 65.5439 0.368224
\(179\) −52.7355 + 156.513i −0.294612 + 0.874376i 0.693475 + 0.720480i \(0.256079\pi\)
−0.988087 + 0.153896i \(0.950818\pi\)
\(180\) 14.4028 + 158.840i 0.0800154 + 0.882447i
\(181\) 233.325 + 177.369i 1.28909 + 0.979941i 0.999742 + 0.0227171i \(0.00723169\pi\)
0.289348 + 0.957224i \(0.406561\pi\)
\(182\) 152.348 + 60.7012i 0.837080 + 0.333523i
\(183\) 132.831 + 81.5500i 0.725852 + 0.445628i
\(184\) 11.1899 5.17701i 0.0608148 0.0281359i
\(185\) 121.600 82.4465i 0.657295 0.445657i
\(186\) 32.5938 33.7977i 0.175236 0.181708i
\(187\) −411.397 + 484.334i −2.19998 + 2.59002i
\(188\) 72.4689 + 20.1209i 0.385473 + 0.107026i
\(189\) 221.021 + 54.9121i 1.16942 + 0.290540i
\(190\) 13.4820 25.4297i 0.0709577 0.133840i
\(191\) 15.8294 + 145.549i 0.0828766 + 0.762038i 0.959662 + 0.281156i \(0.0907179\pi\)
−0.876785 + 0.480882i \(0.840317\pi\)
\(192\) −13.6458 + 19.7432i −0.0710717 + 0.102829i
\(193\) 40.8925 + 147.282i 0.211878 + 0.763117i 0.990723 + 0.135900i \(0.0433925\pi\)
−0.778844 + 0.627218i \(0.784194\pi\)
\(194\) 4.79839 10.3716i 0.0247340 0.0534616i
\(195\) −324.401 + 168.284i −1.66359 + 0.862993i
\(196\) −43.2569 + 9.52156i −0.220698 + 0.0485794i
\(197\) 44.0613 + 73.2304i 0.223661 + 0.371728i 0.948287 0.317415i \(-0.102815\pi\)
−0.724625 + 0.689143i \(0.757987\pi\)
\(198\) 232.301 134.166i 1.17324 0.677607i
\(199\) 13.3924 19.7524i 0.0672987 0.0992581i −0.792550 0.609806i \(-0.791247\pi\)
0.859849 + 0.510548i \(0.170558\pi\)
\(200\) 149.359 + 24.4862i 0.746797 + 0.122431i
\(201\) −61.7620 159.139i −0.307274 0.791739i
\(202\) 55.9269 + 52.9767i 0.276866 + 0.262261i
\(203\) −204.790 216.194i −1.00882 1.06500i
\(204\) 174.736 46.8345i 0.856549 0.229581i
\(205\) 339.672 + 74.7675i 1.65694 + 0.364719i
\(206\) 16.7243 + 49.6359i 0.0811858 + 0.240951i
\(207\) 32.0726 + 22.5944i 0.154940 + 0.109152i
\(208\) −53.7067 11.8217i −0.258205 0.0568353i
\(209\) −48.3405 2.62094i −0.231294 0.0125404i
\(210\) 151.028 278.810i 0.719182 1.32766i
\(211\) 3.61712 + 3.42631i 0.0171427 + 0.0162385i 0.696223 0.717826i \(-0.254863\pi\)
−0.679080 + 0.734064i \(0.737621\pi\)
\(212\) −74.9527 + 4.06382i −0.353551 + 0.0191690i
\(213\) 29.1795 4.51589i 0.136993 0.0212014i
\(214\) 15.3255 22.6034i 0.0716146 0.105624i
\(215\) −61.0063 + 560.943i −0.283750 + 2.60904i
\(216\) −76.1170 6.18059i −0.352394 0.0286138i
\(217\) −91.1664 + 20.0672i −0.420121 + 0.0924757i
\(218\) 38.3349 6.28469i 0.175848 0.0288288i
\(219\) −311.218 36.6687i −1.42109 0.167437i
\(220\) −99.9235 359.892i −0.454198 1.63587i
\(221\) 250.853 + 329.991i 1.13508 + 1.49317i
\(222\) 28.9645 + 64.1054i 0.130471 + 0.288763i
\(223\) 53.6824 101.256i 0.240728 0.454062i −0.733480 0.679711i \(-0.762105\pi\)
0.974209 + 0.225649i \(0.0724502\pi\)
\(224\) 44.3257 17.6610i 0.197883 0.0788437i
\(225\) 170.222 + 450.518i 0.756541 + 2.00230i
\(226\) 36.3749 42.8239i 0.160951 0.189486i
\(227\) −249.526 + 132.290i −1.09923 + 0.582777i −0.916358 0.400359i \(-0.868885\pi\)
−0.182876 + 0.983136i \(0.558541\pi\)
\(228\) 10.8963 + 8.43812i 0.0477908 + 0.0370093i
\(229\) 250.170 115.741i 1.09245 0.505419i 0.210895 0.977509i \(-0.432362\pi\)
0.881550 + 0.472090i \(0.156500\pi\)
\(230\) 41.6321 35.3626i 0.181009 0.153751i
\(231\) −532.271 33.6401i −2.30420 0.145628i
\(232\) 79.4955 + 60.4309i 0.342653 + 0.260478i
\(233\) 102.878 170.985i 0.441538 0.733842i −0.553552 0.832815i \(-0.686728\pi\)
0.995090 + 0.0989727i \(0.0315556\pi\)
\(234\) −52.8952 166.798i −0.226048 0.712814i
\(235\) 333.207 1.41790
\(236\) 72.5239 + 93.0822i 0.307305 + 0.394416i
\(237\) 159.999 52.3197i 0.675100 0.220758i
\(238\) −340.829 114.839i −1.43205 0.482515i
\(239\) −44.2845 + 73.6014i −0.185291 + 0.307956i −0.935554 0.353183i \(-0.885099\pi\)
0.750263 + 0.661139i \(0.229927\pi\)
\(240\) −34.8513 + 100.454i −0.145214 + 0.418559i
\(241\) 33.8285 84.9031i 0.140367 0.352295i −0.841940 0.539571i \(-0.818587\pi\)
0.982307 + 0.187276i \(0.0599658\pi\)
\(242\) −348.391 + 295.926i −1.43963 + 1.22283i
\(243\) −104.103 219.571i −0.428408 0.903586i
\(244\) 58.3136 + 86.0061i 0.238990 + 0.352484i
\(245\) −173.372 + 91.9160i −0.707640 + 0.375167i
\(246\) −63.0231 + 154.148i −0.256191 + 0.626620i
\(247\) −8.44810 + 30.4273i −0.0342028 + 0.123187i
\(248\) 29.0792 11.5862i 0.117255 0.0467186i
\(249\) −384.397 66.5575i −1.54376 0.267299i
\(250\) 355.180 38.6281i 1.42072 0.154512i
\(251\) 269.205 + 354.133i 1.07253 + 1.41089i 0.905199 + 0.424987i \(0.139721\pi\)
0.167330 + 0.985901i \(0.446486\pi\)
\(252\) 119.204 + 94.0308i 0.473032 + 0.373138i
\(253\) −83.3841 38.5776i −0.329582 0.152481i
\(254\) 42.1686 6.91319i 0.166018 0.0272173i
\(255\) 690.411 407.034i 2.70749 1.59621i
\(256\) −13.7097 + 8.24886i −0.0535536 + 0.0322221i
\(257\) 47.1642 433.668i 0.183518 1.68742i −0.434037 0.900895i \(-0.642911\pi\)
0.617555 0.786527i \(-0.288123\pi\)
\(258\) −259.668 74.6064i −1.00646 0.289172i
\(259\) 22.6258 138.011i 0.0873584 0.532862i
\(260\) −243.277 + 13.1901i −0.935682 + 0.0507312i
\(261\) −40.0037 + 315.215i −0.153271 + 1.20772i
\(262\) 102.512 97.1043i 0.391266 0.370627i
\(263\) 241.665 + 13.1027i 0.918879 + 0.0498202i 0.507507 0.861647i \(-0.330567\pi\)
0.411372 + 0.911468i \(0.365050\pi\)
\(264\) 177.959 17.7438i 0.674086 0.0672114i
\(265\) −315.145 + 106.185i −1.18923 + 0.400698i
\(266\) −8.74860 25.9649i −0.0328895 0.0976125i
\(267\) 13.7949 + 138.354i 0.0516662 + 0.518178i
\(268\) 6.16116 113.636i 0.0229894 0.424014i
\(269\) 232.844 + 245.810i 0.865590 + 0.913792i 0.996989 0.0775375i \(-0.0247058\pi\)
−0.131400 + 0.991329i \(0.541947\pi\)
\(270\) −332.258 + 63.8330i −1.23058 + 0.236418i
\(271\) 1.51195 + 27.8863i 0.00557915 + 0.102901i 0.999997 0.00261631i \(-0.000832799\pi\)
−0.994417 + 0.105518i \(0.966350\pi\)
\(272\) 119.014 + 19.5113i 0.437550 + 0.0717327i
\(273\) −96.0669 + 334.361i −0.351893 + 1.22477i
\(274\) 4.12166 + 0.448258i 0.0150426 + 0.00163598i
\(275\) −581.463 966.400i −2.11441 3.51418i
\(276\) 13.2830 + 22.5307i 0.0481269 + 0.0816330i
\(277\) −41.1518 251.015i −0.148563 0.906191i −0.950940 0.309375i \(-0.899880\pi\)
0.802378 0.596817i \(-0.203568\pi\)
\(278\) 119.677 258.677i 0.430491 0.930492i
\(279\) 78.2020 + 61.6875i 0.280294 + 0.221102i
\(280\) 168.287 127.929i 0.601026 0.456888i
\(281\) 10.7785 + 99.1070i 0.0383578 + 0.352694i 0.997551 + 0.0699425i \(0.0222816\pi\)
−0.959193 + 0.282751i \(0.908753\pi\)
\(282\) −27.2199 + 157.206i −0.0965244 + 0.557468i
\(283\) −55.7564 139.938i −0.197019 0.494480i 0.796963 0.604029i \(-0.206439\pi\)
−0.993981 + 0.109549i \(0.965059\pi\)
\(284\) 18.9671 + 5.26618i 0.0667855 + 0.0185429i
\(285\) 56.5159 + 23.1063i 0.198301 + 0.0810748i
\(286\) 191.948 + 362.052i 0.671147 + 1.26592i
\(287\) 274.038 185.802i 0.954836 0.647395i
\(288\) −44.5469 24.6489i −0.154677 0.0855865i
\(289\) −401.418 472.585i −1.38899 1.63524i
\(290\) 410.980 + 163.749i 1.41717 + 0.564652i
\(291\) 22.9027 + 7.94583i 0.0787036 + 0.0273052i
\(292\) −179.009 107.706i −0.613045 0.368857i
\(293\) 26.3890 78.3198i 0.0900648 0.267303i −0.893149 0.449761i \(-0.851509\pi\)
0.983214 + 0.182459i \(0.0584055\pi\)
\(294\) −29.2028 89.3050i −0.0993293 0.303759i
\(295\) 419.918 + 311.396i 1.42345 + 1.05558i
\(296\) 46.8968i 0.158435i
\(297\) 332.097 + 462.116i 1.11817 + 1.55595i
\(298\) −266.992 160.644i −0.895947 0.539073i
\(299\) −36.2679 + 47.7096i −0.121297 + 0.159564i
\(300\) −20.2515 + 320.430i −0.0675050 + 1.06810i
\(301\) 347.732 + 409.382i 1.15526 + 1.36007i
\(302\) 74.8339 + 161.751i 0.247794 + 0.535599i
\(303\) −100.055 + 129.203i −0.330216 + 0.426414i
\(304\) 4.30360 + 8.11744i 0.0141566 + 0.0267021i
\(305\) 350.870 + 298.032i 1.15039 + 0.977153i
\(306\) 135.637 + 358.985i 0.443259 + 1.17315i
\(307\) −87.4499 219.483i −0.284853 0.714927i −0.999875 0.0158249i \(-0.994963\pi\)
0.715022 0.699102i \(-0.246417\pi\)
\(308\) −314.137 166.545i −1.01993 0.540731i
\(309\) −101.254 + 45.7492i −0.327683 + 0.148056i
\(310\) 110.402 83.9257i 0.356137 0.270728i
\(311\) 131.101 36.3999i 0.421546 0.117042i −0.0502765 0.998735i \(-0.516010\pi\)
0.471822 + 0.881694i \(0.343596\pi\)
\(312\) 13.6504 115.855i 0.0437513 0.371330i
\(313\) 36.6012 + 223.257i 0.116937 + 0.713282i 0.978595 + 0.205794i \(0.0659777\pi\)
−0.861659 + 0.507488i \(0.830574\pi\)
\(314\) 77.6531 + 352.782i 0.247303 + 1.12351i
\(315\) 620.313 + 260.118i 1.96925 + 0.825771i
\(316\) 111.566 + 12.1335i 0.353057 + 0.0383973i
\(317\) 35.5922 + 24.1321i 0.112278 + 0.0761264i 0.616034 0.787720i \(-0.288738\pi\)
−0.503756 + 0.863846i \(0.668049\pi\)
\(318\) −24.3533 157.359i −0.0765826 0.494840i
\(319\) −40.2851 743.015i −0.126286 2.32920i
\(320\) −48.7478 + 51.4625i −0.152337 + 0.160820i
\(321\) 50.9381 + 27.5926i 0.158686 + 0.0859583i
\(322\) 2.81514 51.9222i 0.00874267 0.161249i
\(323\) 14.8875 67.6346i 0.0460913 0.209395i
\(324\) −2.97388 161.973i −0.00917863 0.499916i
\(325\) −697.170 + 234.904i −2.14514 + 0.722782i
\(326\) 34.3518 156.062i 0.105373 0.478717i
\(327\) 21.3343 + 79.5966i 0.0652425 + 0.243415i
\(328\) −80.6021 + 76.3504i −0.245738 + 0.232775i
\(329\) 218.133 230.280i 0.663019 0.699941i
\(330\) 738.649 286.670i 2.23833 0.868696i
\(331\) −48.0687 + 293.206i −0.145223 + 0.885820i 0.809238 + 0.587482i \(0.199881\pi\)
−0.954460 + 0.298338i \(0.903568\pi\)
\(332\) −215.263 145.952i −0.648384 0.439615i
\(333\) −129.221 + 74.6319i −0.388051 + 0.224120i
\(334\) −34.2761 + 20.6233i −0.102623 + 0.0617463i
\(335\) −108.385 492.397i −0.323537 1.46984i
\(336\) 46.6089 + 89.8480i 0.138717 + 0.267405i
\(337\) 483.430 + 223.658i 1.43451 + 0.663675i 0.974531 0.224255i \(-0.0719948\pi\)
0.459979 + 0.887930i \(0.347857\pi\)
\(338\) 27.2669 7.57063i 0.0806714 0.0223983i
\(339\) 98.0507 + 67.7691i 0.289235 + 0.199909i
\(340\) 531.177 57.7690i 1.56229 0.169909i
\(341\) −206.085 109.259i −0.604355 0.320409i
\(342\) −15.5183 + 24.7764i −0.0453752 + 0.0724457i
\(343\) 60.5970 218.251i 0.176668 0.636299i
\(344\) −137.277 116.604i −0.399061 0.338966i
\(345\) 83.4075 + 80.4366i 0.241761 + 0.233149i
\(346\) −74.0744 109.252i −0.214088 0.315756i
\(347\) 170.494 + 368.517i 0.491337 + 1.06201i 0.981690 + 0.190484i \(0.0610058\pi\)
−0.490353 + 0.871524i \(0.663132\pi\)
\(348\) −110.830 + 180.522i −0.318476 + 0.518742i
\(349\) 78.0226 195.822i 0.223561 0.561095i −0.773822 0.633403i \(-0.781657\pi\)
0.997382 + 0.0723088i \(0.0230367\pi\)
\(350\) 386.294 508.162i 1.10370 1.45189i
\(351\) 340.954 146.760i 0.971380 0.418119i
\(352\) 112.986 + 38.0695i 0.320984 + 0.108152i
\(353\) 54.4418i 0.154226i −0.997022 0.0771131i \(-0.975430\pi\)
0.997022 0.0771131i \(-0.0245703\pi\)
\(354\) −181.219 + 172.678i −0.511918 + 0.487791i
\(355\) 87.2093 0.245660
\(356\) −29.5970 + 87.8409i −0.0831377 + 0.246744i
\(357\) 170.674 743.610i 0.478078 2.08294i
\(358\) −185.943 141.351i −0.519395 0.394834i
\(359\) 20.1958 + 8.04673i 0.0562556 + 0.0224143i 0.398096 0.917344i \(-0.369671\pi\)
−0.341841 + 0.939758i \(0.611050\pi\)
\(360\) −219.379 52.4237i −0.609386 0.145621i
\(361\) −322.846 + 149.365i −0.894312 + 0.413753i
\(362\) −343.068 + 232.606i −0.947702 + 0.642558i
\(363\) −697.981 673.119i −1.92281 1.85432i
\(364\) −150.145 + 176.765i −0.412487 + 0.485617i
\(365\) −891.821 247.613i −2.44335 0.678392i
\(366\) −169.273 + 141.193i −0.462495 + 0.385773i
\(367\) −305.906 + 577.001i −0.833532 + 1.57221i −0.0134881 + 0.999909i \(0.504294\pi\)
−0.820044 + 0.572300i \(0.806051\pi\)
\(368\) 1.88522 + 17.3343i 0.00512287 + 0.0471040i
\(369\) −338.649 100.589i −0.917749 0.272600i
\(370\) 55.5840 + 200.195i 0.150227 + 0.541069i
\(371\) −132.925 + 287.312i −0.358287 + 0.774426i
\(372\) 30.5771 + 58.9434i 0.0821964 + 0.158450i
\(373\) 108.547 23.8931i 0.291012 0.0640565i −0.0670652 0.997749i \(-0.521364\pi\)
0.358077 + 0.933692i \(0.383433\pi\)
\(374\) −463.326 770.053i −1.23884 2.05897i
\(375\) 156.292 + 741.602i 0.416779 + 1.97761i
\(376\) −59.6898 + 88.0358i −0.158749 + 0.234138i
\(377\) −478.980 78.5247i −1.27050 0.208288i
\(378\) −173.397 + 271.413i −0.458721 + 0.718023i
\(379\) 138.053 + 130.771i 0.364255 + 0.345041i 0.847836 0.530259i \(-0.177905\pi\)
−0.483580 + 0.875300i \(0.660664\pi\)
\(380\) 27.9925 + 29.5514i 0.0736645 + 0.0777667i
\(381\) 23.4679 + 87.5567i 0.0615955 + 0.229808i
\(382\) −202.211 44.5099i −0.529347 0.116518i
\(383\) 35.0640 + 104.066i 0.0915508 + 0.271713i 0.983640 0.180147i \(-0.0576573\pi\)
−0.892089 + 0.451860i \(0.850761\pi\)
\(384\) −20.2976 27.2031i −0.0528583 0.0708414i
\(385\) −1538.40 338.628i −3.99585 0.879553i
\(386\) −215.850 11.7030i −0.559197 0.0303188i
\(387\) 102.831 563.823i 0.265714 1.45691i
\(388\) 11.7330 + 11.1141i 0.0302398 + 0.0286446i
\(389\) −356.299 + 19.3180i −0.915935 + 0.0496606i −0.506077 0.862489i \(-0.668905\pi\)
−0.409859 + 0.912149i \(0.634422\pi\)
\(390\) −79.0445 510.747i −0.202678 1.30961i
\(391\) 73.7570 108.783i 0.188637 0.278218i
\(392\) 6.77246 62.2718i 0.0172767 0.158857i
\(393\) 226.548 + 195.950i 0.576459 + 0.498601i
\(394\) −118.039 + 25.9822i −0.299590 + 0.0659448i
\(395\) 490.640 80.4363i 1.24213 0.203636i
\(396\) 74.9092 + 371.910i 0.189165 + 0.939168i
\(397\) −154.558 556.669i −0.389316 1.40219i −0.855638 0.517575i \(-0.826835\pi\)
0.466322 0.884615i \(-0.345579\pi\)
\(398\) 20.4243 + 26.8677i 0.0513173 + 0.0675068i
\(399\) 52.9669 23.9318i 0.132749 0.0599795i
\(400\) −100.261 + 189.112i −0.250652 + 0.472780i
\(401\) −154.658 + 61.6212i −0.385680 + 0.153669i −0.554916 0.831907i \(-0.687249\pi\)
0.169236 + 0.985576i \(0.445870\pi\)
\(402\) 241.165 10.9114i 0.599914 0.0271428i
\(403\) −98.5006 + 115.964i −0.244418 + 0.287751i
\(404\) −96.2529 + 51.0301i −0.238250 + 0.126312i
\(405\) −204.672 687.912i −0.505362 1.69855i
\(406\) 382.215 176.831i 0.941416 0.435545i
\(407\) 266.346 226.237i 0.654414 0.555864i
\(408\) −16.1369 + 255.327i −0.0395513 + 0.625801i
\(409\) −45.3351 34.4628i −0.110844 0.0842612i 0.548284 0.836292i \(-0.315281\pi\)
−0.659128 + 0.752031i \(0.729074\pi\)
\(410\) −253.585 + 421.461i −0.618499 + 1.02795i
\(411\) −0.0787291 + 8.79457i −0.000191555 + 0.0213980i
\(412\) −74.0732 −0.179789
\(413\) 490.105 86.3525i 1.18670 0.209086i
\(414\) −44.7634 + 32.7805i −0.108124 + 0.0791800i
\(415\) −1091.92 367.909i −2.63112 0.886528i
\(416\) 40.0951 66.6386i 0.0963825 0.160189i
\(417\) 571.217 + 198.177i 1.36982 + 0.475244i
\(418\) 25.3412 63.6016i 0.0606249 0.152157i
\(419\) 488.377 414.832i 1.16558 0.990051i 0.165586 0.986195i \(-0.447048\pi\)
0.999993 0.00385604i \(-0.00122742\pi\)
\(420\) 305.458 + 328.305i 0.727280 + 0.781679i
\(421\) −172.644 254.631i −0.410080 0.604823i 0.565425 0.824800i \(-0.308712\pi\)
−0.975505 + 0.219977i \(0.929402\pi\)
\(422\) −6.22524 + 3.30041i −0.0147517 + 0.00782088i
\(423\) −337.568 24.3704i −0.798032 0.0576131i
\(424\) 28.3994 102.286i 0.0669798 0.241239i
\(425\) 1498.81 597.182i 3.52662 1.40513i
\(426\) −7.12418 + 41.1451i −0.0167234 + 0.0965847i
\(427\) 435.667 47.3816i 1.02030 0.110964i
\(428\) 23.3724 + 30.7458i 0.0546084 + 0.0718361i
\(429\) −723.840 + 481.374i −1.68727 + 1.12208i
\(430\) −724.219 335.060i −1.68423 0.779208i
\(431\) −545.693 + 89.4619i −1.26611 + 0.207568i −0.757161 0.653228i \(-0.773414\pi\)
−0.508949 + 0.860797i \(0.669966\pi\)
\(432\) 42.6546 99.2199i 0.0987374 0.229676i
\(433\) 427.875 257.444i 0.988164 0.594558i 0.0728683 0.997342i \(-0.476785\pi\)
0.915295 + 0.402783i \(0.131957\pi\)
\(434\) 14.2733 131.241i 0.0328879 0.302399i
\(435\) −259.153 + 901.982i −0.595753 + 2.07352i
\(436\) −8.88789 + 54.2137i −0.0203851 + 0.124343i
\(437\) 9.99790 0.542070i 0.0228785 0.00124044i
\(438\) 189.677 400.531i 0.433051 0.914454i
\(439\) 526.948 499.152i 1.20034 1.13702i 0.213223 0.977004i \(-0.431604\pi\)
0.987114 0.160017i \(-0.0511548\pi\)
\(440\) 527.443 + 28.5971i 1.19873 + 0.0649935i
\(441\) 182.364 80.4387i 0.413523 0.182401i
\(442\) −555.524 + 187.178i −1.25684 + 0.423479i
\(443\) −185.631 550.934i −0.419032 1.24364i −0.924627 0.380873i \(-0.875624\pi\)
0.505595 0.862771i \(-0.331273\pi\)
\(444\) −98.9923 + 9.87027i −0.222956 + 0.0222303i
\(445\) −22.2328 + 410.059i −0.0499613 + 0.921481i
\(446\) 111.460 + 117.667i 0.249911 + 0.263828i
\(447\) 282.902 597.392i 0.632891 1.33645i
\(448\) 3.65322 + 67.3796i 0.00815450 + 0.150401i
\(449\) 269.532 + 44.1875i 0.600294 + 0.0984132i 0.454264 0.890867i \(-0.349902\pi\)
0.146030 + 0.989280i \(0.453350\pi\)
\(450\) −680.642 + 24.6922i −1.51254 + 0.0548715i
\(451\) 822.461 + 89.4480i 1.82364 + 0.198333i
\(452\) 40.9664 + 68.0867i 0.0906336 + 0.150634i
\(453\) −325.682 + 192.007i −0.718945 + 0.423856i
\(454\) −64.6173 394.148i −0.142329 0.868168i
\(455\) −431.439 + 932.540i −0.948218 + 2.04954i
\(456\) −16.2290 + 10.7927i −0.0355898 + 0.0236683i
\(457\) −474.140 + 360.432i −1.03751 + 0.788691i −0.977803 0.209525i \(-0.932808\pi\)
−0.0597023 + 0.998216i \(0.519015\pi\)
\(458\) 42.1473 + 387.538i 0.0920246 + 0.846152i
\(459\) −729.217 + 361.865i −1.58871 + 0.788377i
\(460\) 28.5930 + 71.7630i 0.0621587 + 0.156007i
\(461\) −347.818 96.5711i −0.754485 0.209482i −0.131070 0.991373i \(-0.541841\pi\)
−0.623415 + 0.781891i \(0.714255\pi\)
\(462\) 285.437 698.150i 0.617828 1.51115i
\(463\) −11.0739 20.8875i −0.0239176 0.0451135i 0.871265 0.490812i \(-0.163300\pi\)
−0.895183 + 0.445699i \(0.852955\pi\)
\(464\) −116.886 + 79.2504i −0.251909 + 0.170798i
\(465\) 200.391 + 215.380i 0.430948 + 0.463182i
\(466\) 182.696 + 215.086i 0.392051 + 0.461558i
\(467\) 34.0348 + 13.5607i 0.0728796 + 0.0290379i 0.406293 0.913743i \(-0.366821\pi\)
−0.333413 + 0.942781i \(0.608201\pi\)
\(468\) 247.426 + 4.43028i 0.528688 + 0.00946640i
\(469\) −411.251 247.442i −0.876868 0.527594i
\(470\) −150.463 + 446.558i −0.320134 + 0.950124i
\(471\) −728.327 + 238.164i −1.54634 + 0.505655i
\(472\) −157.496 + 55.1631i −0.333678 + 0.116871i
\(473\) 1342.17i 2.83757i
\(474\) −2.13106 + 238.053i −0.00449590 + 0.502222i
\(475\) 105.318 + 63.3677i 0.221722 + 0.133406i
\(476\) 307.810 404.917i 0.646659 0.850665i
\(477\) 327.036 84.5252i 0.685611 0.177202i
\(478\) −78.6423 92.5849i −0.164524 0.193692i
\(479\) 309.234 + 668.399i 0.645583 + 1.39540i 0.903226 + 0.429164i \(0.141192\pi\)
−0.257644 + 0.966240i \(0.582946\pi\)
\(480\) −118.890 92.0683i −0.247687 0.191809i
\(481\) −106.774 201.397i −0.221983 0.418705i
\(482\) 98.5101 + 83.6753i 0.204378 + 0.173600i
\(483\) 110.193 4.98560i 0.228142 0.0103222i
\(484\) −239.275 600.536i −0.494371 1.24078i
\(485\) 63.2594 + 33.5380i 0.130432 + 0.0691506i
\(486\) 341.275 40.3675i 0.702211 0.0830606i
\(487\) 212.128 161.255i 0.435580 0.331119i −0.364297 0.931283i \(-0.618691\pi\)
0.799878 + 0.600163i \(0.204898\pi\)
\(488\) −141.596 + 39.3140i −0.290156 + 0.0805614i
\(489\) 336.653 + 39.6656i 0.688452 + 0.0811157i
\(490\) −44.8964 273.856i −0.0916253 0.558889i
\(491\) −160.024 726.994i −0.325914 1.48064i −0.799913 0.600115i \(-0.795121\pi\)
0.474000 0.880525i \(-0.342810\pi\)
\(492\) −178.129 154.070i −0.362050 0.313150i
\(493\) 1058.22 + 115.088i 2.14649 + 0.233445i
\(494\) −36.9634 25.0618i −0.0748246 0.0507323i
\(495\) 760.579 + 1498.84i 1.53652 + 3.02797i
\(496\) 2.39664 + 44.2034i 0.00483193 + 0.0891197i
\(497\) 57.0914 60.2706i 0.114872 0.121269i
\(498\) 262.778 485.108i 0.527666 0.974112i
\(499\) 2.34792 43.3048i 0.00470524 0.0867831i −0.995238 0.0974793i \(-0.968922\pi\)
0.999943 + 0.0106962i \(0.00340477\pi\)
\(500\) −108.616 + 493.449i −0.217233 + 0.986898i
\(501\) −50.7467 68.0113i −0.101291 0.135751i
\(502\) −596.165 + 200.872i −1.18758 + 0.400143i
\(503\) 80.5049 365.737i 0.160049 0.727112i −0.826405 0.563076i \(-0.809618\pi\)
0.986454 0.164036i \(-0.0524512\pi\)
\(504\) −179.846 + 117.295i −0.356838 + 0.232727i
\(505\) −350.406 + 331.923i −0.693874 + 0.657273i
\(506\) 89.3541 94.3299i 0.176589 0.186423i
\(507\) 21.7193 + 55.9632i 0.0428389 + 0.110381i
\(508\) −9.77673 + 59.6354i −0.0192455 + 0.117393i
\(509\) 25.9420 + 17.5891i 0.0509667 + 0.0345563i 0.586404 0.810018i \(-0.300543\pi\)
−0.535438 + 0.844575i \(0.679853\pi\)
\(510\) 233.738 + 1109.08i 0.458309 + 2.17466i
\(511\) −754.956 + 454.242i −1.47741 + 0.888927i
\(512\) −4.86423 22.0984i −0.00950044 0.0431609i
\(513\) −55.5656 27.5422i −0.108315 0.0536886i
\(514\) 559.897 + 259.036i 1.08929 + 0.503961i
\(515\) −316.207 + 87.7945i −0.613995 + 0.170475i
\(516\) 217.242 314.313i 0.421012 0.609134i
\(517\) 787.944 85.6940i 1.52407 0.165752i
\(518\) 174.744 + 92.6432i 0.337343 + 0.178848i
\(519\) 215.024 179.354i 0.414304 0.345576i
\(520\) 92.1773 331.992i 0.177264 0.638447i
\(521\) −576.660 489.819i −1.10683 0.940152i −0.108290 0.994119i \(-0.534538\pi\)
−0.998543 + 0.0539671i \(0.982813\pi\)
\(522\) −404.382 195.951i −0.774678 0.375385i
\(523\) −416.883 614.856i −0.797099 1.17563i −0.981251 0.192735i \(-0.938264\pi\)
0.184152 0.982898i \(-0.441046\pi\)
\(524\) 83.8474 + 181.233i 0.160014 + 0.345865i
\(525\) 1153.96 + 708.459i 2.19801 + 1.34945i
\(526\) −126.687 + 317.959i −0.240849 + 0.604485i
\(527\) 201.934 265.640i 0.383176 0.504060i
\(528\) −56.5792 + 246.510i −0.107158 + 0.466875i
\(529\) −483.301 162.843i −0.913613 0.307832i
\(530\) 470.302i 0.887362i
\(531\) −402.639 346.183i −0.758265 0.651946i
\(532\) 38.7483 0.0728352
\(533\) 172.310 511.398i 0.323284 0.959471i
\(534\) −191.648 43.9873i −0.358892 0.0823733i
\(535\) 136.214 + 103.547i 0.254606 + 0.193547i
\(536\) 149.511 + 59.5706i 0.278938 + 0.111139i
\(537\) 259.235 422.249i 0.482747 0.786311i
\(538\) −434.574 + 201.055i −0.807758 + 0.373709i
\(539\) −386.339 + 261.944i −0.716769 + 0.485981i
\(540\) 64.4865 474.111i 0.119419 0.877983i
\(541\) −289.958 + 341.365i −0.535966 + 0.630988i −0.961780 0.273822i \(-0.911712\pi\)
0.425814 + 0.904811i \(0.359988\pi\)
\(542\) −38.0555 10.5660i −0.0702130 0.0194946i
\(543\) −563.202 675.210i −1.03720 1.24348i
\(544\) −79.8906 + 150.690i −0.146858 + 0.277003i
\(545\) 26.3152 + 241.964i 0.0482848 + 0.443971i
\(546\) −404.725 279.732i −0.741255 0.512329i
\(547\) 159.655 + 575.026i 0.291874 + 1.05124i 0.953498 + 0.301399i \(0.0974537\pi\)
−0.661624 + 0.749836i \(0.730132\pi\)
\(548\) −2.46193 + 5.32137i −0.00449257 + 0.00971053i
\(549\) −333.664 327.594i −0.607767 0.596711i
\(550\) 1557.72 342.880i 2.83222 0.623418i
\(551\) 41.8075 + 69.4847i 0.0758758 + 0.126107i
\(552\) −36.1934 + 7.62773i −0.0655677 + 0.0138184i
\(553\) 265.606 391.740i 0.480301 0.708391i
\(554\) 354.989 + 58.1975i 0.640774 + 0.105050i
\(555\) −410.884 + 159.464i −0.740332 + 0.287323i
\(556\) 292.633 + 277.197i 0.526319 + 0.498555i
\(557\) 259.382 + 273.826i 0.465676 + 0.491608i 0.915956 0.401279i \(-0.131434\pi\)
−0.450280 + 0.892888i \(0.648676\pi\)
\(558\) −117.985 + 76.9494i −0.211444 + 0.137902i
\(559\) 855.016 + 188.203i 1.52954 + 0.336678i
\(560\) 95.4561 + 283.303i 0.170457 + 0.505899i
\(561\) 1527.95 1140.08i 2.72363 2.03224i
\(562\) −137.689 30.3076i −0.244998 0.0539281i
\(563\) 708.519 + 38.4148i 1.25847 + 0.0682323i 0.671273 0.741210i \(-0.265748\pi\)
0.587199 + 0.809443i \(0.300231\pi\)
\(564\) −198.394 107.468i −0.351762 0.190545i
\(565\) 255.578 + 242.097i 0.452351 + 0.428490i
\(566\) 212.720 11.5333i 0.375830 0.0203769i
\(567\) −609.407 308.891i −1.07479 0.544782i
\(568\) −15.6224 + 23.0414i −0.0275043 + 0.0405658i
\(569\) −9.59165 + 88.1938i −0.0168570 + 0.154998i −0.999541 0.0302911i \(-0.990357\pi\)
0.982684 + 0.185289i \(0.0593221\pi\)
\(570\) −56.4871 + 65.3077i −0.0991001 + 0.114575i
\(571\) 435.379 95.8341i 0.762485 0.167836i 0.183328 0.983052i \(-0.441313\pi\)
0.579157 + 0.815216i \(0.303382\pi\)
\(572\) −571.893 + 93.7570i −0.999812 + 0.163911i
\(573\) 51.3951 436.205i 0.0896948 0.761265i
\(574\) 125.265 + 451.162i 0.218231 + 0.785997i
\(575\) 141.165 + 185.699i 0.245504 + 0.322955i
\(576\) 53.1497 48.5706i 0.0922738 0.0843240i
\(577\) 207.083 390.600i 0.358896 0.676949i −0.636658 0.771146i \(-0.719684\pi\)
0.995554 + 0.0941973i \(0.0300285\pi\)
\(578\) 814.615 324.572i 1.40937 0.561544i
\(579\) −20.7261 458.091i −0.0357963 0.791176i
\(580\) −405.036 + 476.846i −0.698338 + 0.822147i
\(581\) −969.084 + 513.776i −1.66796 + 0.884295i
\(582\) −20.9908 + 27.1059i −0.0360667 + 0.0465737i
\(583\) −717.925 + 332.147i −1.23143 + 0.569721i
\(584\) 225.180 191.269i 0.385582 0.327516i
\(585\) 1061.48 274.347i 1.81449 0.468969i
\(586\) 93.0467 + 70.7322i 0.158783 + 0.120703i
\(587\) −26.1850 + 43.5198i −0.0446082 + 0.0741394i −0.878359 0.478001i \(-0.841361\pi\)
0.833751 + 0.552141i \(0.186189\pi\)
\(588\) 132.872 + 1.18947i 0.225973 + 0.00202291i
\(589\) 25.4202 0.0431583
\(590\) −606.946 + 422.154i −1.02872 + 0.715515i
\(591\) −79.6880 243.694i −0.134836 0.412341i
\(592\) −62.8503 21.1767i −0.106166 0.0357715i
\(593\) −434.890 + 722.793i −0.733373 + 1.21887i 0.235635 + 0.971842i \(0.424283\pi\)
−0.969007 + 0.247033i \(0.920544\pi\)
\(594\) −769.282 + 236.398i −1.29509 + 0.397976i
\(595\) 834.070 2093.36i 1.40180 3.51825i
\(596\) 335.856 285.278i 0.563516 0.478655i
\(597\) −52.4152 + 48.7675i −0.0877976 + 0.0816876i
\(598\) −47.5625 70.1494i −0.0795359 0.117307i
\(599\) −41.1527 + 21.8178i −0.0687024 + 0.0364237i −0.502405 0.864632i \(-0.667552\pi\)
0.433703 + 0.901056i \(0.357207\pi\)
\(600\) −420.290 171.834i −0.700483 0.286390i
\(601\) −168.056 + 605.284i −0.279628 + 1.00713i 0.681680 + 0.731651i \(0.261250\pi\)
−0.961308 + 0.275478i \(0.911164\pi\)
\(602\) −705.670 + 281.165i −1.17221 + 0.467051i
\(603\) 73.7899 + 506.768i 0.122371 + 0.840412i
\(604\) −250.568 + 27.2509i −0.414847 + 0.0451174i
\(605\) −1733.21 2280.00i −2.86481 3.76859i
\(606\) −127.975 192.436i −0.211180 0.317551i
\(607\) 490.036 + 226.715i 0.807307 + 0.373500i 0.779727 0.626119i \(-0.215358\pi\)
0.0275803 + 0.999620i \(0.491220\pi\)
\(608\) −12.8222 + 2.10209i −0.0210891 + 0.00345739i
\(609\) 453.709 + 769.582i 0.745007 + 1.26368i
\(610\) −557.856 + 335.651i −0.914518 + 0.550247i
\(611\) 55.8974 513.968i 0.0914851 0.841192i
\(612\) −542.354 + 19.6754i −0.886199 + 0.0321493i
\(613\) 31.6023 192.766i 0.0515536 0.314463i −0.948443 0.316947i \(-0.897342\pi\)
0.999997 + 0.00248385i \(0.000790635\pi\)
\(614\) 333.636 18.0892i 0.543381 0.0294613i
\(615\) −943.014 446.576i −1.53336 0.726140i
\(616\) 365.053 345.797i 0.592619 0.561358i
\(617\) −681.764 36.9642i −1.10497 0.0599095i −0.507386 0.861719i \(-0.669388\pi\)
−0.597580 + 0.801809i \(0.703871\pi\)
\(618\) −15.5900 156.358i −0.0252266 0.253006i
\(619\) 803.108 270.599i 1.29743 0.437155i 0.415954 0.909386i \(-0.363448\pi\)
0.881475 + 0.472231i \(0.156551\pi\)
\(620\) 62.6225 + 185.857i 0.101004 + 0.299769i
\(621\) −78.6161 87.5896i −0.126596 0.141046i
\(622\) −10.4173 + 192.136i −0.0167481 + 0.308900i
\(623\) 268.839 + 283.810i 0.431523 + 0.455553i
\(624\) 149.103 + 70.6096i 0.238947 + 0.113156i
\(625\) 48.7625 + 899.371i 0.0780200 + 1.43899i
\(626\) −315.734 51.7619i −0.504367 0.0826867i
\(627\) 139.587 + 40.1054i 0.222627 + 0.0639640i
\(628\) −507.858 55.2328i −0.808690 0.0879504i
\(629\) 257.732 + 428.354i 0.409749 + 0.681008i
\(630\) −628.715 + 713.874i −0.997960 + 1.13313i
\(631\) 88.5690 + 540.247i 0.140363 + 0.856176i 0.959320 + 0.282321i \(0.0911044\pi\)
−0.818957 + 0.573855i \(0.805447\pi\)
\(632\) −66.6400 + 144.040i −0.105443 + 0.227911i
\(633\) −8.27690 12.4459i −0.0130757 0.0196618i
\(634\) −48.4134 + 36.8029i −0.0763619 + 0.0580488i
\(635\) 28.9469 + 266.162i 0.0455857 + 0.419153i
\(636\) 221.887 + 38.4192i 0.348879 + 0.0604076i
\(637\) 112.695 + 282.844i 0.176916 + 0.444025i
\(638\) 1013.97 + 281.527i 1.58929 + 0.441265i
\(639\) −88.3506 6.37838i −0.138264 0.00998182i
\(640\) −46.9566 88.5695i −0.0733696 0.138390i
\(641\) 617.139 418.430i 0.962775 0.652777i 0.0248774 0.999691i \(-0.492080\pi\)
0.937897 + 0.346913i \(0.112770\pi\)
\(642\) −59.9808 + 55.8067i −0.0934281 + 0.0869263i
\(643\) 116.910 + 137.637i 0.181820 + 0.214055i 0.845520 0.533944i \(-0.179291\pi\)
−0.663700 + 0.747999i \(0.731015\pi\)
\(644\) 68.3141 + 27.2188i 0.106078 + 0.0422652i
\(645\) 554.837 1599.24i 0.860212 2.47944i
\(646\) 83.9202 + 50.4931i 0.129907 + 0.0781627i
\(647\) −233.278 + 692.345i −0.360553 + 1.07008i 0.601885 + 0.798583i \(0.294417\pi\)
−0.962438 + 0.271501i \(0.912480\pi\)
\(648\) 218.416 + 69.1549i 0.337062 + 0.106721i
\(649\) 1073.08 + 628.371i 1.65343 + 0.968215i
\(650\) 1040.41i 1.60063i
\(651\) 280.035 + 2.50688i 0.430162 + 0.00385081i
\(652\) 193.639 + 116.509i 0.296993 + 0.178695i
\(653\) −115.612 + 152.085i −0.177048 + 0.232903i −0.876054 0.482213i \(-0.839833\pi\)
0.699006 + 0.715116i \(0.253626\pi\)
\(654\) −116.308 7.35078i −0.177841 0.0112397i
\(655\) 572.737 + 674.278i 0.874407 + 1.02943i
\(656\) −65.9268 142.498i −0.100498 0.217223i
\(657\) 885.383 + 316.080i 1.34762 + 0.481097i
\(658\) 210.118 + 396.324i 0.319328 + 0.602316i
\(659\) −55.9380 47.5142i −0.0848832 0.0721004i 0.603940 0.797030i \(-0.293597\pi\)
−0.688823 + 0.724929i \(0.741872\pi\)
\(660\) 50.6454 + 1119.37i 0.0767355 + 1.69602i
\(661\) 217.097 + 544.873i 0.328438 + 0.824317i 0.996759 + 0.0804441i \(0.0256338\pi\)
−0.668321 + 0.743873i \(0.732987\pi\)
\(662\) −371.244 196.821i −0.560792 0.297313i
\(663\) −512.025 1133.23i −0.772285 1.70925i
\(664\) 292.807 222.586i 0.440975 0.335220i
\(665\) 165.411 45.9261i 0.248738 0.0690617i
\(666\) −41.6694 206.881i −0.0625666 0.310632i
\(667\) 24.8979 + 151.871i 0.0373282 + 0.227692i
\(668\) −12.1612 55.2490i −0.0182054 0.0827080i
\(669\) −224.920 + 260.042i −0.336203 + 0.388702i
\(670\) 708.845 + 77.0915i 1.05798 + 0.115062i
\(671\) 906.360 + 614.527i 1.35076 + 0.915838i
\(672\) −141.460 + 21.8926i −0.210505 + 0.0325783i
\(673\) −1.13120 20.8637i −0.00168083 0.0310010i 0.997573 0.0696329i \(-0.0221828\pi\)
−0.999254 + 0.0386319i \(0.987700\pi\)
\(674\) −518.041 + 546.889i −0.768607 + 0.811409i
\(675\) −195.375 1431.54i −0.289444 2.12080i
\(676\) −2.16664 + 39.9613i −0.00320509 + 0.0591144i
\(677\) 227.835 1035.06i 0.336536 1.52890i −0.439520 0.898233i \(-0.644851\pi\)
0.776055 0.630665i \(-0.217218\pi\)
\(678\) −135.099 + 100.804i −0.199261 + 0.148679i
\(679\) 64.5909 21.7632i 0.0951266 0.0320519i
\(680\) −162.438 + 737.961i −0.238879 + 1.08524i
\(681\) 818.389 219.353i 1.20175 0.322105i
\(682\) 239.488 226.855i 0.351155 0.332632i
\(683\) 324.304 342.363i 0.474823 0.501264i −0.443950 0.896052i \(-0.646423\pi\)
0.918772 + 0.394787i \(0.129182\pi\)
\(684\) −26.1975 31.9855i −0.0383005 0.0467624i
\(685\) −4.20250 + 25.6341i −0.00613503 + 0.0374221i
\(686\) 265.133 + 179.765i 0.386491 + 0.262047i
\(687\) −809.165 + 170.531i −1.17782 + 0.248226i
\(688\) 218.260 131.323i 0.317238 0.190876i
\(689\) 110.922 + 503.922i 0.160989 + 0.731382i
\(690\) −145.463 + 75.4595i −0.210816 + 0.109362i
\(691\) 614.901 + 284.483i 0.889871 + 0.411698i 0.810904 0.585179i \(-0.198976\pi\)
0.0789668 + 0.996877i \(0.474838\pi\)
\(692\) 179.866 49.9396i 0.259922 0.0721671i
\(693\) 1533.77 + 455.576i 2.21323 + 0.657398i
\(694\) −570.869 + 62.0857i −0.822577 + 0.0894607i
\(695\) 1577.75 + 836.471i 2.27015 + 1.20356i
\(696\) −191.887 230.049i −0.275699 0.330530i
\(697\) −316.616 + 1140.35i −0.454256 + 1.63608i
\(698\) 227.206 + 192.990i 0.325509 + 0.276490i
\(699\) −415.564 + 430.913i −0.594512 + 0.616470i
\(700\) 506.595 + 747.171i 0.723707 + 1.06739i
\(701\) 70.7047 + 152.826i 0.100863 + 0.218011i 0.951437 0.307844i \(-0.0996075\pi\)
−0.850574 + 0.525855i \(0.823745\pi\)
\(702\) 42.7236 + 523.212i 0.0608598 + 0.745317i
\(703\) −14.0964 + 35.3793i −0.0200518 + 0.0503262i
\(704\) −102.040 + 134.232i −0.144944 + 0.190670i
\(705\) −974.287 223.619i −1.38197 0.317190i
\(706\) 72.9621 + 24.5838i 0.103346 + 0.0348212i
\(707\) 459.460i 0.649872i
\(708\) −149.589 320.841i −0.211284 0.453166i
\(709\) −1304.66 −1.84014 −0.920070 0.391755i \(-0.871868\pi\)
−0.920070 + 0.391755i \(0.871868\pi\)
\(710\) −39.3803 + 116.876i −0.0554652 + 0.164615i
\(711\) −502.944 + 45.6042i −0.707375 + 0.0641409i
\(712\) −104.358 79.3309i −0.146570 0.111420i
\(713\) 44.8164 + 17.8565i 0.0628561 + 0.0250442i
\(714\) 919.504 + 564.519i 1.28782 + 0.790643i
\(715\) −2330.20 + 1078.06i −3.25902 + 1.50778i
\(716\) 273.400 185.370i 0.381844 0.258897i
\(717\) 178.882 185.489i 0.249486 0.258701i
\(718\) −19.9037 + 23.4325i −0.0277210 + 0.0326357i
\(719\) −855.429 237.509i −1.18975 0.330332i −0.384419 0.923159i \(-0.625598\pi\)
−0.805330 + 0.592827i \(0.798012\pi\)
\(720\) 169.320 270.336i 0.235167 0.375467i
\(721\) −146.329 + 276.007i −0.202953 + 0.382811i
\(722\) −54.3914 500.121i −0.0753344 0.692688i
\(723\) −155.893 + 225.551i −0.215620 + 0.311966i
\(724\) −156.819 564.810i −0.216600 0.780124i
\(725\) −793.260 + 1714.60i −1.09415 + 2.36497i
\(726\) 1217.28 631.469i 1.67670 0.869792i
\(727\) −218.552 + 48.1070i −0.300622 + 0.0661719i −0.362720 0.931898i \(-0.618152\pi\)
0.0620980 + 0.998070i \(0.480221\pi\)
\(728\) −169.098 281.042i −0.232277 0.386047i
\(729\) 157.037 + 711.885i 0.215415 + 0.976523i
\(730\) 734.558 1083.39i 1.00624 1.48410i
\(731\) −1894.71 310.622i −2.59194 0.424927i
\(732\) −112.787 290.614i −0.154081 0.397014i
\(733\) −811.624 768.811i −1.10726 1.04886i −0.998498 0.0547881i \(-0.982552\pi\)
−0.108765 0.994067i \(-0.534690\pi\)
\(734\) −635.152 670.522i −0.865329 0.913517i
\(735\) 568.620 152.408i 0.773633 0.207357i
\(736\) −24.0824 5.30094i −0.0327207 0.00720237i
\(737\) −382.935 1136.51i −0.519586 1.54208i
\(738\) 287.729 408.430i 0.389876 0.553428i
\(739\) 109.051 + 24.0039i 0.147565 + 0.0324816i 0.288139 0.957589i \(-0.406964\pi\)
−0.140573 + 0.990070i \(0.544895\pi\)
\(740\) −293.398 15.9076i −0.396484 0.0214967i
\(741\) 45.1221 83.2989i 0.0608936 0.112414i
\(742\) −325.027 307.882i −0.438042 0.414936i
\(743\) 1008.90 54.7012i 1.35788 0.0736221i 0.639241 0.769006i \(-0.279249\pi\)
0.718638 + 0.695384i \(0.244766\pi\)
\(744\) −92.8024 + 14.3623i −0.124734 + 0.0193042i
\(745\) 1095.59 1615.88i 1.47060 2.16897i
\(746\) −16.9946 + 156.263i −0.0227810 + 0.209467i
\(747\) 1079.30 + 452.586i 1.44484 + 0.605871i
\(748\) 1241.23 273.216i 1.65940 0.365262i
\(749\) 160.735 26.3511i 0.214599 0.0351817i
\(750\) −1064.46 125.418i −1.41928 0.167224i
\(751\) 135.278 + 487.226i 0.180130 + 0.648769i 0.997370 + 0.0724725i \(0.0230890\pi\)
−0.817241 +