Properties

Label 354.3.h.a.5.20
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 5.20
Character \(\chi\) = 354.5
Dual form 354.3.h.a.71.20

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.451561 + 1.34018i) q^{2} +(2.95183 + 0.535437i) q^{3} +(-1.59219 - 1.21035i) q^{4} +(-1.84046 - 0.733305i) q^{5} +(-2.05051 + 3.71421i) q^{6} +(-10.2065 + 4.72201i) q^{7} +(2.34106 - 1.58728i) q^{8} +(8.42661 + 3.16104i) q^{9} +O(q^{10})\) \(q+(-0.451561 + 1.34018i) q^{2} +(2.95183 + 0.535437i) q^{3} +(-1.59219 - 1.21035i) q^{4} +(-1.84046 - 0.733305i) q^{5} +(-2.05051 + 3.71421i) q^{6} +(-10.2065 + 4.72201i) q^{7} +(2.34106 - 1.58728i) q^{8} +(8.42661 + 3.16104i) q^{9} +(1.81384 - 2.13542i) q^{10} +(13.7546 + 3.81894i) q^{11} +(-4.05180 - 4.42526i) q^{12} +(-5.71863 + 10.7865i) q^{13} +(-1.71953 - 15.8108i) q^{14} +(-5.04008 - 3.15004i) q^{15} +(1.07011 + 3.85420i) q^{16} +(-3.27733 + 7.08382i) q^{17} +(-8.04150 + 9.86581i) q^{18} +(-23.9818 + 5.27880i) q^{19} +(2.04280 + 3.39515i) q^{20} +(-32.6561 + 8.47366i) q^{21} +(-11.3291 + 16.7092i) q^{22} +(-39.7305 - 6.51348i) q^{23} +(7.76029 - 3.43188i) q^{24} +(-15.3003 - 14.4933i) q^{25} +(-11.8736 - 12.5348i) q^{26} +(23.1814 + 13.8428i) q^{27} +(21.9658 + 4.83505i) q^{28} +(7.02588 + 20.8521i) q^{29} +(6.49754 - 5.33220i) q^{30} +(38.5985 + 8.49616i) q^{31} +(-5.64856 - 0.306256i) q^{32} +(38.5564 + 18.6376i) q^{33} +(-8.01372 - 7.59100i) q^{34} +(22.2472 - 1.20621i) q^{35} +(-9.59078 - 15.2321i) q^{36} +(-26.7124 + 39.3978i) q^{37} +(3.75469 - 34.5238i) q^{38} +(-22.6559 + 28.7779i) q^{39} +(-5.47258 + 1.20461i) q^{40} +(-42.1646 + 6.91253i) q^{41} +(3.38993 - 47.5915i) q^{42} +(12.4232 + 44.7444i) q^{43} +(-17.2776 - 22.7283i) q^{44} +(-13.1908 - 11.9970i) q^{45} +(26.6700 - 50.3049i) q^{46} +(38.5151 - 15.3458i) q^{47} +(1.09511 + 11.9499i) q^{48} +(50.1524 - 59.0439i) q^{49} +(26.3327 - 13.9607i) q^{50} +(-13.4671 + 19.1555i) q^{51} +(22.1605 - 10.2526i) q^{52} +(20.5339 - 17.4417i) q^{53} +(-29.0197 + 24.8165i) q^{54} +(-22.5142 - 17.1149i) q^{55} +(-16.3988 + 27.2550i) q^{56} +(-73.6168 + 2.74137i) q^{57} -31.1182 q^{58} +(-17.2305 - 56.4279i) q^{59} +(4.21210 + 11.1157i) q^{60} +(9.31575 + 3.13884i) q^{61} +(-28.8160 + 47.8925i) q^{62} +(-100.932 + 7.52755i) q^{63} +(2.96111 - 7.43181i) q^{64} +(18.4347 - 15.6586i) q^{65} +(-42.3883 + 43.2566i) q^{66} +(36.1286 + 53.2856i) q^{67} +(13.7920 - 7.31206i) q^{68} +(-113.790 - 40.4999i) q^{69} +(-8.42942 + 30.3600i) q^{70} +(12.4904 - 4.97661i) q^{71} +(24.7446 - 5.97519i) q^{72} +(116.311 - 12.6496i) q^{73} +(-40.7380 - 53.5900i) q^{74} +(-37.4038 - 50.9740i) q^{75} +(44.5727 + 20.6215i) q^{76} +(-158.418 + 25.9714i) q^{77} +(-28.3372 - 43.3581i) q^{78} +(-16.7248 + 10.0630i) q^{79} +(0.856807 - 7.87821i) q^{80} +(61.0157 + 53.2737i) q^{81} +(9.77579 - 59.6297i) q^{82} +(119.068 - 6.45568i) q^{83} +(62.2506 + 26.0336i) q^{84} +(11.2264 - 10.6342i) q^{85} +(-65.5756 - 3.55541i) q^{86} +(9.57424 + 65.3137i) q^{87} +(38.2619 - 12.8920i) q^{88} +(-26.6577 - 79.1171i) q^{89} +(22.0347 - 12.2607i) q^{90} +(7.43308 - 137.095i) q^{91} +(55.3747 + 58.4584i) q^{92} +(109.387 + 45.7463i) q^{93} +(3.17432 + 58.5468i) q^{94} +(48.0085 + 7.87060i) q^{95} +(-16.5096 - 3.92846i) q^{96} +(69.1923 + 7.52512i) q^{97} +(56.4829 + 93.8753i) q^{98} +(103.833 + 75.6594i) 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
\(3\) 2.95183 + 0.535437i 0.983944 + 0.178479i
\(4\) −1.59219 1.21035i −0.398047 0.302587i
\(5\) −1.84046 0.733305i −0.368091 0.146661i 0.178756 0.983893i \(-0.442793\pi\)
−0.546847 + 0.837232i \(0.684172\pi\)
\(6\) −2.05051 + 3.71421i −0.341752 + 0.619036i
\(7\) −10.2065 + 4.72201i −1.45806 + 0.674572i −0.979122 0.203274i \(-0.934842\pi\)
−0.478943 + 0.877846i \(0.658980\pi\)
\(8\) 2.34106 1.58728i 0.292632 0.198410i
\(9\) 8.42661 + 3.16104i 0.936291 + 0.351227i
\(10\) 1.81384 2.13542i 0.181384 0.213542i
\(11\) 13.7546 + 3.81894i 1.25042 + 0.347176i 0.828772 0.559586i \(-0.189040\pi\)
0.421643 + 0.906762i \(0.361454\pi\)
\(12\) −4.05180 4.42526i −0.337650 0.368772i
\(13\) −5.71863 + 10.7865i −0.439895 + 0.829730i 0.560104 + 0.828422i \(0.310761\pi\)
−0.999999 + 0.00130757i \(0.999584\pi\)
\(14\) −1.71953 15.8108i −0.122823 1.12934i
\(15\) −5.04008 3.15004i −0.336005 0.210003i
\(16\) 1.07011 + 3.85420i 0.0668821 + 0.240887i
\(17\) −3.27733 + 7.08382i −0.192784 + 0.416696i −0.979729 0.200327i \(-0.935799\pi\)
0.786945 + 0.617023i \(0.211661\pi\)
\(18\) −8.04150 + 9.86581i −0.446750 + 0.548101i
\(19\) −23.9818 + 5.27880i −1.26220 + 0.277832i −0.795158 0.606402i \(-0.792612\pi\)
−0.467044 + 0.884234i \(0.654681\pi\)
\(20\) 2.04280 + 3.39515i 0.102140 + 0.169758i
\(21\) −32.6561 + 8.47366i −1.55505 + 0.403508i
\(22\) −11.3291 + 16.7092i −0.514959 + 0.759508i
\(23\) −39.7305 6.51348i −1.72741 0.283195i −0.785453 0.618922i \(-0.787570\pi\)
−0.941959 + 0.335727i \(0.891018\pi\)
\(24\) 7.76029 3.43188i 0.323346 0.142995i
\(25\) −15.3003 14.4933i −0.612014 0.579730i
\(26\) −11.8736 12.5348i −0.456676 0.482107i
\(27\) 23.1814 + 13.8428i 0.858571 + 0.512695i
\(28\) 21.9658 + 4.83505i 0.784494 + 0.172680i
\(29\) 7.02588 + 20.8521i 0.242272 + 0.719037i 0.997944 + 0.0640873i \(0.0204136\pi\)
−0.755673 + 0.654950i \(0.772690\pi\)
\(30\) 6.49754 5.33220i 0.216585 0.177740i
\(31\) 38.5985 + 8.49616i 1.24511 + 0.274070i 0.788187 0.615436i \(-0.211020\pi\)
0.456925 + 0.889505i \(0.348951\pi\)
\(32\) −5.64856 0.306256i −0.176517 0.00957050i
\(33\) 38.5564 + 18.6376i 1.16837 + 0.564775i
\(34\) −8.01372 7.59100i −0.235698 0.223265i
\(35\) 22.2472 1.20621i 0.635635 0.0344631i
\(36\) −9.59078 15.2321i −0.266411 0.423114i
\(37\) −26.7124 + 39.3978i −0.721956 + 1.06481i 0.272754 + 0.962084i \(0.412065\pi\)
−0.994710 + 0.102722i \(0.967245\pi\)
\(38\) 3.75469 34.5238i 0.0988076 0.908520i
\(39\) −22.6559 + 28.7779i −0.580921 + 0.737895i
\(40\) −5.47258 + 1.20461i −0.136814 + 0.0301151i
\(41\) −42.1646 + 6.91253i −1.02840 + 0.168598i −0.652285 0.757973i \(-0.726190\pi\)
−0.376118 + 0.926572i \(0.622741\pi\)
\(42\) 3.38993 47.5915i 0.0807126 1.13313i
\(43\) 12.4232 + 44.7444i 0.288912 + 1.04057i 0.955464 + 0.295109i \(0.0953560\pi\)
−0.666551 + 0.745459i \(0.732230\pi\)
\(44\) −17.2776 22.7283i −0.392672 0.516552i
\(45\) −13.1908 11.9970i −0.293129 0.266601i
\(46\) 26.6700 50.3049i 0.579782 1.09359i
\(47\) 38.5151 15.3458i 0.819470 0.326507i 0.0775441 0.996989i \(-0.475292\pi\)
0.741925 + 0.670482i \(0.233913\pi\)
\(48\) 1.09511 + 11.9499i 0.0228149 + 0.248957i
\(49\) 50.1524 59.0439i 1.02352 1.20498i
\(50\) 26.3327 13.9607i 0.526653 0.279214i
\(51\) −13.4671 + 19.1555i −0.264060 + 0.375597i
\(52\) 22.1605 10.2526i 0.426164 0.197165i
\(53\) 20.5339 17.4417i 0.387432 0.329088i −0.432410 0.901677i \(-0.642337\pi\)
0.819843 + 0.572589i \(0.194061\pi\)
\(54\) −29.0197 + 24.8165i −0.537401 + 0.459565i
\(55\) −22.5142 17.1149i −0.409350 0.311180i
\(56\) −16.3988 + 27.2550i −0.292835 + 0.486696i
\(57\) −73.6168 + 2.74137i −1.29152 + 0.0480942i
\(58\) −31.1182 −0.536521
\(59\) −17.2305 56.4279i −0.292042 0.956405i
\(60\) 4.21210 + 11.1157i 0.0702016 + 0.185262i
\(61\) 9.31575 + 3.13884i 0.152717 + 0.0514564i 0.394622 0.918844i \(-0.370876\pi\)
−0.241905 + 0.970300i \(0.577772\pi\)
\(62\) −28.8160 + 47.8925i −0.464774 + 0.772460i
\(63\) −100.932 + 7.52755i −1.60210 + 0.119485i
\(64\) 2.96111 7.43181i 0.0462673 0.116122i
\(65\) 18.4347 15.6586i 0.283611 0.240901i
\(66\) −42.3883 + 43.2566i −0.642247 + 0.655403i
\(67\) 36.1286 + 53.2856i 0.539232 + 0.795308i 0.995523 0.0945228i \(-0.0301325\pi\)
−0.456290 + 0.889831i \(0.650822\pi\)
\(68\) 13.7920 7.31206i 0.202824 0.107530i
\(69\) −113.790 40.4999i −1.64913 0.586954i
\(70\) −8.42942 + 30.3600i −0.120420 + 0.433715i
\(71\) 12.4904 4.97661i 0.175921 0.0700931i −0.280515 0.959850i \(-0.590505\pi\)
0.456435 + 0.889757i \(0.349126\pi\)
\(72\) 24.7446 5.97519i 0.343676 0.0829888i
\(73\) 116.311 12.6496i 1.59330 0.173282i 0.731973 0.681333i \(-0.238600\pi\)
0.861327 + 0.508051i \(0.169634\pi\)
\(74\) −40.7380 53.5900i −0.550514 0.724189i
\(75\) −37.4038 50.9740i −0.498717 0.679653i
\(76\) 44.5727 + 20.6215i 0.586483 + 0.271336i
\(77\) −158.418 + 25.9714i −2.05738 + 0.337291i
\(78\) −28.3372 43.3581i −0.363297 0.555873i
\(79\) −16.7248 + 10.0630i −0.211706 + 0.127379i −0.617458 0.786604i \(-0.711837\pi\)
0.405752 + 0.913983i \(0.367010\pi\)
\(80\) 0.856807 7.87821i 0.0107101 0.0984776i
\(81\) 61.0157 + 53.2737i 0.753280 + 0.657700i
\(82\) 9.77579 59.6297i 0.119217 0.727191i
\(83\) 119.068 6.45568i 1.43455 0.0777792i 0.679612 0.733571i \(-0.262148\pi\)
0.754941 + 0.655792i \(0.227665\pi\)
\(84\) 62.2506 + 26.0336i 0.741079 + 0.309923i
\(85\) 11.2264 10.6342i 0.132075 0.125108i
\(86\) −65.5756 3.55541i −0.762507 0.0413419i
\(87\) 9.57424 + 65.3137i 0.110049 + 0.750732i
\(88\) 38.2619 12.8920i 0.434795 0.146499i
\(89\) −26.6577 79.1171i −0.299524 0.888957i −0.986712 0.162477i \(-0.948052\pi\)
0.687188 0.726480i \(-0.258845\pi\)
\(90\) 22.0347 12.2607i 0.244830 0.136230i
\(91\) 7.43308 137.095i 0.0816822 1.50654i
\(92\) 55.3747 + 58.4584i 0.601899 + 0.635417i
\(93\) 109.387 + 45.7463i 1.17620 + 0.491895i
\(94\) 3.17432 + 58.5468i 0.0337693 + 0.622839i
\(95\) 48.0085 + 7.87060i 0.505353 + 0.0828484i
\(96\) −16.5096 3.92846i −0.171975 0.0409215i
\(97\) 69.1923 + 7.52512i 0.713323 + 0.0775785i 0.457583 0.889167i \(-0.348715\pi\)
0.255740 + 0.966746i \(0.417681\pi\)
\(98\) 56.4829 + 93.8753i 0.576356 + 0.957911i
\(99\) 103.833 + 75.6594i 1.04881 + 0.764237i
\(100\) 6.81910 + 41.5947i 0.0681910 + 0.415947i
\(101\) −39.0241 + 84.3493i −0.386378 + 0.835142i 0.612620 + 0.790378i \(0.290116\pi\)
−0.998998 + 0.0447640i \(0.985746\pi\)
\(102\) −19.5906 26.6982i −0.192065 0.261747i
\(103\) −34.3684 + 26.1261i −0.333673 + 0.253652i −0.758572 0.651589i \(-0.774103\pi\)
0.424899 + 0.905241i \(0.360310\pi\)
\(104\) 3.73349 + 34.3288i 0.0358989 + 0.330085i
\(105\) 66.3159 + 8.35145i 0.631580 + 0.0795377i
\(106\) 14.1027 + 35.3952i 0.133045 + 0.333917i
\(107\) 27.5656 + 7.65355i 0.257623 + 0.0715285i 0.393938 0.919137i \(-0.371112\pi\)
−0.136316 + 0.990665i \(0.543526\pi\)
\(108\) −20.1545 50.0979i −0.186616 0.463869i
\(109\) −87.7640 165.541i −0.805175 1.51872i −0.854213 0.519924i \(-0.825960\pi\)
0.0490379 0.998797i \(-0.484384\pi\)
\(110\) 33.1036 22.4448i 0.300942 0.204044i
\(111\) −99.9454 + 101.993i −0.900409 + 0.918854i
\(112\) −29.1216 34.2846i −0.260014 0.306113i
\(113\) 108.398 + 43.1899i 0.959278 + 0.382211i 0.796626 0.604472i \(-0.206616\pi\)
0.162652 + 0.986684i \(0.447995\pi\)
\(114\) 29.5685 99.8980i 0.259373 0.876298i
\(115\) 68.3459 + 41.1223i 0.594312 + 0.357586i
\(116\) 14.0518 41.7041i 0.121136 0.359518i
\(117\) −82.2852 + 72.8167i −0.703292 + 0.622365i
\(118\) 83.4044 + 2.38859i 0.706817 + 0.0202423i
\(119\) 87.7763i 0.737616i
\(120\) −16.7991 + 0.625572i −0.139993 + 0.00521310i
\(121\) 70.9241 + 42.6736i 0.586150 + 0.352675i
\(122\) −8.41325 + 11.0674i −0.0689611 + 0.0907167i
\(123\) −128.164 2.17184i −1.04198 0.0176573i
\(124\) −51.1726 60.2451i −0.412682 0.485847i
\(125\) 38.3284 + 82.8455i 0.306627 + 0.662764i
\(126\) 35.4887 138.667i 0.281657 1.10053i
\(127\) 32.7123 + 61.7019i 0.257577 + 0.485842i 0.978249 0.207434i \(-0.0665113\pi\)
−0.720672 + 0.693276i \(0.756166\pi\)
\(128\) 8.62288 + 7.32434i 0.0673662 + 0.0572214i
\(129\) 12.7135 + 138.730i 0.0985540 + 1.07543i
\(130\) 12.6610 + 31.7767i 0.0973921 + 0.244436i
\(131\) 154.263 + 81.7853i 1.17758 + 0.624315i 0.938025 0.346567i \(-0.112653\pi\)
0.239558 + 0.970882i \(0.422998\pi\)
\(132\) −38.8310 76.3411i −0.294174 0.578342i
\(133\) 219.843 167.120i 1.65295 1.25654i
\(134\) −87.7268 + 24.3572i −0.654678 + 0.181770i
\(135\) −32.5134 42.4761i −0.240840 0.314638i
\(136\) 3.57158 + 21.7857i 0.0262616 + 0.160189i
\(137\) −31.3093 142.240i −0.228535 1.03825i −0.941491 0.337037i \(-0.890575\pi\)
0.712956 0.701209i \(-0.247356\pi\)
\(138\) 105.660 134.212i 0.765655 0.972547i
\(139\) −145.953 15.8733i −1.05002 0.114197i −0.433198 0.901299i \(-0.642615\pi\)
−0.616823 + 0.787102i \(0.711581\pi\)
\(140\) −36.8816 25.0064i −0.263440 0.178617i
\(141\) 121.907 24.6758i 0.864586 0.175006i
\(142\) 1.02942 + 18.9866i 0.00724947 + 0.133709i
\(143\) −119.850 + 126.524i −0.838113 + 0.884786i
\(144\) −3.16584 + 35.8605i −0.0219850 + 0.249031i
\(145\) 2.36010 43.5295i 0.0162765 0.300203i
\(146\) −35.5687 + 161.590i −0.243621 + 1.10678i
\(147\) 179.656 147.434i 1.22215 1.00295i
\(148\) 90.2161 30.3973i 0.609568 0.205387i
\(149\) −32.5634 + 147.937i −0.218546 + 0.992866i 0.731763 + 0.681559i \(0.238698\pi\)
−0.950309 + 0.311307i \(0.899233\pi\)
\(150\) 85.2046 27.1101i 0.568031 0.180734i
\(151\) 145.219 137.559i 0.961717 0.910987i −0.0343662 0.999409i \(-0.510941\pi\)
0.996083 + 0.0884227i \(0.0281826\pi\)
\(152\) −47.7640 + 50.4238i −0.314237 + 0.331736i
\(153\) −50.0090 + 49.3329i −0.326856 + 0.322437i
\(154\) 36.7291 224.037i 0.238500 1.45479i
\(155\) −64.8085 43.9413i −0.418120 0.283492i
\(156\) 70.9038 18.3982i 0.454511 0.117937i
\(157\) −75.9387 + 45.6908i −0.483686 + 0.291024i −0.736436 0.676508i \(-0.763493\pi\)
0.252750 + 0.967532i \(0.418665\pi\)
\(158\) −5.93397 26.9583i −0.0375568 0.170622i
\(159\) 69.9516 40.4902i 0.439947 0.254656i
\(160\) 10.1714 + 4.70577i 0.0635709 + 0.0294111i
\(161\) 436.264 121.128i 2.70971 0.752348i
\(162\) −98.9488 + 57.7159i −0.610795 + 0.356271i
\(163\) −95.0155 + 10.3336i −0.582917 + 0.0633961i −0.394827 0.918756i \(-0.629195\pi\)
−0.188091 + 0.982152i \(0.560230\pi\)
\(164\) 75.5004 + 40.0278i 0.460368 + 0.244072i
\(165\) −57.2943 62.5752i −0.347238 0.379244i
\(166\) −45.1146 + 162.488i −0.271775 + 0.978844i
\(167\) −11.2433 9.55011i −0.0673249 0.0571863i 0.613092 0.790011i \(-0.289925\pi\)
−0.680417 + 0.732825i \(0.738201\pi\)
\(168\) −62.9997 + 71.6715i −0.374998 + 0.426616i
\(169\) 11.1951 + 16.5115i 0.0662432 + 0.0977014i
\(170\) 9.18239 + 19.8474i 0.0540140 + 0.116749i
\(171\) −218.772 31.3251i −1.27937 0.183188i
\(172\) 34.3763 86.2779i 0.199862 0.501616i
\(173\) −190.432 + 250.509i −1.10076 + 1.44803i −0.219376 + 0.975640i \(0.570402\pi\)
−0.881389 + 0.472391i \(0.843391\pi\)
\(174\) −91.8557 16.6618i −0.527906 0.0957577i
\(175\) 224.599 + 75.6764i 1.28343 + 0.432436i
\(176\) 57.0995i 0.324429i
\(177\) −20.6479 175.792i −0.116655 0.993173i
\(178\) 118.069 0.663309
\(179\) 96.1453 285.349i 0.537124 1.59413i −0.244015 0.969772i \(-0.578464\pi\)
0.781139 0.624357i \(-0.214639\pi\)
\(180\) 6.48164 + 35.0670i 0.0360091 + 0.194817i
\(181\) 20.9724 + 15.9428i 0.115870 + 0.0880820i 0.661504 0.749941i \(-0.269918\pi\)
−0.545635 + 0.838023i \(0.683711\pi\)
\(182\) 180.376 + 71.8685i 0.991078 + 0.394882i
\(183\) 25.8179 + 14.2533i 0.141081 + 0.0778870i
\(184\) −103.350 + 47.8148i −0.561685 + 0.259863i
\(185\) 78.0536 52.9216i 0.421911 0.286063i
\(186\) −110.703 + 125.941i −0.595179 + 0.677105i
\(187\) −72.1309 + 84.9190i −0.385727 + 0.454112i
\(188\) −79.8969 22.1833i −0.424984 0.117996i
\(189\) −301.966 31.8228i −1.59770 0.168375i
\(190\) −32.2268 + 60.7862i −0.169615 + 0.319927i
\(191\) 1.52216 + 13.9960i 0.00796940 + 0.0732774i 0.997447 0.0714068i \(-0.0227489\pi\)
−0.989478 + 0.144684i \(0.953783\pi\)
\(192\) 12.7200 20.3520i 0.0662497 0.106000i
\(193\) 48.6844 + 175.345i 0.252251 + 0.908524i 0.975875 + 0.218330i \(0.0700610\pi\)
−0.723624 + 0.690194i \(0.757525\pi\)
\(194\) −41.3296 + 89.3324i −0.213039 + 0.460476i
\(195\) 62.8003 36.3508i 0.322053 0.186414i
\(196\) −151.316 + 33.3071i −0.772019 + 0.169934i
\(197\) −168.818 280.578i −0.856947 1.42426i −0.905000 0.425412i \(-0.860129\pi\)
0.0480534 0.998845i \(-0.484698\pi\)
\(198\) −148.284 + 104.990i −0.748910 + 0.530253i
\(199\) 23.0424 33.9850i 0.115791 0.170779i −0.765377 0.643582i \(-0.777448\pi\)
0.881168 + 0.472803i \(0.156758\pi\)
\(200\) −58.8238 9.64367i −0.294119 0.0482184i
\(201\) 78.1143 + 176.635i 0.388628 + 0.878780i
\(202\) −95.4218 90.3883i −0.472385 0.447467i
\(203\) −170.173 179.649i −0.838290 0.884972i
\(204\) 44.6268 14.1992i 0.218759 0.0696040i
\(205\) 82.6711 + 18.1973i 0.403273 + 0.0887672i
\(206\) −19.4944 57.8574i −0.0946332 0.280861i
\(207\) −314.204 180.476i −1.51789 0.871865i
\(208\) −47.6929 10.4980i −0.229293 0.0504711i
\(209\) −350.019 18.9775i −1.67473 0.0908014i
\(210\) −41.1381 + 85.1043i −0.195896 + 0.405258i
\(211\) 255.676 + 242.189i 1.21173 + 1.14781i 0.984761 + 0.173913i \(0.0556413\pi\)
0.226972 + 0.973901i \(0.427117\pi\)
\(212\) −53.8043 + 2.91719i −0.253794 + 0.0137603i
\(213\) 39.5341 8.00232i 0.185606 0.0375696i
\(214\) −22.7047 + 33.4869i −0.106097 + 0.156481i
\(215\) 9.94690 91.4603i 0.0462647 0.425397i
\(216\) 76.2413 4.38857i 0.352969 0.0203175i
\(217\) −434.072 + 95.5465i −2.00033 + 0.440307i
\(218\) 261.486 42.8684i 1.19948 0.196644i
\(219\) 350.103 + 24.9377i 1.59864 + 0.113871i
\(220\) 15.1319 + 54.5002i 0.0687814 + 0.247728i
\(221\) −57.6677 75.8606i −0.260940 0.343261i
\(222\) −91.5578 180.001i −0.412422 0.810816i
\(223\) −107.744 + 203.226i −0.483156 + 0.911329i 0.515366 + 0.856970i \(0.327656\pi\)
−0.998521 + 0.0543582i \(0.982689\pi\)
\(224\) 59.0979 23.5467i 0.263830 0.105119i
\(225\) −83.1163 170.494i −0.369406 0.757751i
\(226\) −106.831 + 125.771i −0.472703 + 0.556509i
\(227\) 150.395 79.7341i 0.662531 0.351252i −0.102972 0.994684i \(-0.532835\pi\)
0.765503 + 0.643433i \(0.222490\pi\)
\(228\) 120.530 + 84.7372i 0.528639 + 0.371654i
\(229\) −316.200 + 146.290i −1.38079 + 0.638820i −0.962945 0.269699i \(-0.913076\pi\)
−0.417843 + 0.908519i \(0.637214\pi\)
\(230\) −85.9738 + 73.0268i −0.373799 + 0.317508i
\(231\) −481.530 8.15993i −2.08455 0.0353244i
\(232\) 49.5460 + 37.6639i 0.213560 + 0.162344i
\(233\) −174.362 + 289.792i −0.748334 + 1.24374i 0.215308 + 0.976546i \(0.430924\pi\)
−0.963642 + 0.267195i \(0.913903\pi\)
\(234\) −60.4311 143.158i −0.258252 0.611788i
\(235\) −82.1385 −0.349526
\(236\) −40.8633 + 110.699i −0.173150 + 0.469062i
\(237\) −54.7568 + 20.7491i −0.231041 + 0.0875489i
\(238\) 117.636 + 39.6363i 0.494270 + 0.166539i
\(239\) 145.752 242.242i 0.609841 1.01356i −0.386004 0.922497i \(-0.626145\pi\)
0.995845 0.0910665i \(-0.0290276\pi\)
\(240\) 6.74743 22.7964i 0.0281143 0.0949849i
\(241\) −100.470 + 252.162i −0.416890 + 1.04631i 0.559217 + 0.829021i \(0.311102\pi\)
−0.976107 + 0.217293i \(0.930277\pi\)
\(242\) −89.2170 + 75.7816i −0.368665 + 0.313147i
\(243\) 151.583 + 189.925i 0.623799 + 0.781585i
\(244\) −11.0333 16.2729i −0.0452185 0.0666923i
\(245\) −135.601 + 71.8909i −0.553472 + 0.293432i
\(246\) 60.7844 170.782i 0.247091 0.694238i
\(247\) 80.2036 288.867i 0.324711 1.16950i
\(248\) 103.847 41.3764i 0.418738 0.166840i
\(249\) 354.925 + 44.6973i 1.42540 + 0.179507i
\(250\) −128.336 + 13.9574i −0.513343 + 0.0558294i
\(251\) −70.7079 93.0146i −0.281705 0.370576i 0.633378 0.773843i \(-0.281668\pi\)
−0.915083 + 0.403266i \(0.867875\pi\)
\(252\) 169.814 + 110.178i 0.673865 + 0.437214i
\(253\) −521.601 241.318i −2.06166 0.953827i
\(254\) −97.4635 + 15.9783i −0.383715 + 0.0629068i
\(255\) 38.8323 25.3793i 0.152284 0.0995268i
\(256\) −13.7097 + 8.24886i −0.0535536 + 0.0322221i
\(257\) −37.5717 + 345.466i −0.146194 + 1.34423i 0.659415 + 0.751779i \(0.270804\pi\)
−0.805609 + 0.592448i \(0.798162\pi\)
\(258\) −191.664 45.6066i −0.742886 0.176770i
\(259\) 86.6018 528.248i 0.334370 2.03957i
\(260\) −48.3038 + 2.61895i −0.185784 + 0.0100729i
\(261\) −6.70981 + 197.921i −0.0257081 + 0.758320i
\(262\) −179.267 + 169.810i −0.684224 + 0.648131i
\(263\) −36.7233 1.99108i −0.139632 0.00757064i −0.0158097 0.999875i \(-0.505033\pi\)
−0.123823 + 0.992304i \(0.539515\pi\)
\(264\) 119.846 17.5680i 0.453961 0.0665455i
\(265\) −50.5819 + 17.0430i −0.190875 + 0.0643133i
\(266\) 124.699 + 370.095i 0.468795 + 1.39133i
\(267\) −36.3267 247.814i −0.136055 0.928142i
\(268\) 6.97080 128.569i 0.0260104 0.479734i
\(269\) 27.9802 + 29.5384i 0.104016 + 0.109808i 0.775924 0.630826i \(-0.217284\pi\)
−0.671909 + 0.740634i \(0.734525\pi\)
\(270\) 71.6075 24.3934i 0.265213 0.0903461i
\(271\) −20.2075 372.705i −0.0745664 1.37530i −0.761306 0.648393i \(-0.775441\pi\)
0.686739 0.726904i \(-0.259041\pi\)
\(272\) −30.8096 5.05097i −0.113271 0.0185698i
\(273\) 95.3470 400.702i 0.349256 1.46777i
\(274\) 204.765 + 22.2696i 0.747319 + 0.0812759i
\(275\) −155.101 257.779i −0.564003 0.937380i
\(276\) 132.156 + 202.209i 0.478826 + 0.732641i
\(277\) 70.6785 + 431.120i 0.255157 + 1.55639i 0.734406 + 0.678710i \(0.237461\pi\)
−0.479249 + 0.877679i \(0.659091\pi\)
\(278\) 87.1798 188.436i 0.313596 0.677827i
\(279\) 298.398 + 193.605i 1.06953 + 0.693925i
\(280\) 50.1674 38.1363i 0.179169 0.136201i
\(281\) −31.5155 289.780i −0.112155 1.03125i −0.906044 0.423184i \(-0.860912\pi\)
0.793889 0.608063i \(-0.208053\pi\)
\(282\) −21.9781 + 174.520i −0.0779365 + 0.618865i
\(283\) −24.7928 62.2252i −0.0876069 0.219877i 0.878645 0.477476i \(-0.158448\pi\)
−0.966252 + 0.257599i \(0.917069\pi\)
\(284\) −25.9104 7.19399i −0.0912338 0.0253309i
\(285\) 137.499 + 48.9382i 0.482452 + 0.171713i
\(286\) −115.446 217.755i −0.403658 0.761380i
\(287\) 397.709 269.654i 1.38575 0.939560i
\(288\) −46.6301 20.4360i −0.161910 0.0709584i
\(289\) 147.655 + 173.833i 0.510917 + 0.601498i
\(290\) 57.2718 + 22.8192i 0.197489 + 0.0786867i
\(291\) 200.215 + 59.2610i 0.688023 + 0.203646i
\(292\) −200.499 120.636i −0.686640 0.413138i
\(293\) −146.778 + 435.622i −0.500949 + 1.48676i 0.337258 + 0.941412i \(0.390501\pi\)
−0.838207 + 0.545352i \(0.816396\pi\)
\(294\) 116.464 + 307.347i 0.396135 + 1.04540i
\(295\) −9.66690 + 116.488i −0.0327691 + 0.394876i
\(296\) 134.632i 0.454839i
\(297\) 265.986 + 278.930i 0.895574 + 0.939157i
\(298\) −183.559 110.444i −0.615968 0.370616i
\(299\) 297.462 391.304i 0.994855 1.30871i
\(300\) −2.14249 + 126.432i −0.00714163 + 0.421439i
\(301\) −338.081 398.019i −1.12319 1.32232i
\(302\) 118.779 + 256.737i 0.393308 + 0.850122i
\(303\) −160.356 + 228.090i −0.529229 + 0.752772i
\(304\) −46.0088 86.7819i −0.151345 0.285467i
\(305\) −14.8435 12.6082i −0.0486672 0.0413383i
\(306\) −43.5331 89.2981i −0.142265 0.291824i
\(307\) 102.235 + 256.591i 0.333014 + 0.835802i 0.996179 + 0.0873293i \(0.0278332\pi\)
−0.663165 + 0.748473i \(0.730787\pi\)
\(308\) 283.666 + 150.390i 0.920993 + 0.488280i
\(309\) −115.438 + 58.7179i −0.373587 + 0.190025i
\(310\) 88.1544 67.0132i 0.284369 0.216172i
\(311\) 429.626 119.285i 1.38143 0.383553i 0.504188 0.863594i \(-0.331792\pi\)
0.877246 + 0.480040i \(0.159378\pi\)
\(312\) −7.36031 + 103.332i −0.0235907 + 0.331192i
\(313\) −15.6550 95.4913i −0.0500160 0.305084i 0.949957 0.312379i \(-0.101126\pi\)
−0.999973 + 0.00729552i \(0.997678\pi\)
\(314\) −26.9432 122.404i −0.0858062 0.389822i
\(315\) 191.282 + 60.1600i 0.607243 + 0.190984i
\(316\) 38.8086 + 4.22069i 0.122812 + 0.0133566i
\(317\) 70.5383 + 47.8261i 0.222518 + 0.150871i 0.667353 0.744742i \(-0.267427\pi\)
−0.444835 + 0.895613i \(0.646738\pi\)
\(318\) 22.6770 + 112.032i 0.0713113 + 0.352301i
\(319\) 17.0052 + 313.643i 0.0533079 + 0.983206i
\(320\) −10.8996 + 11.5065i −0.0340612 + 0.0359579i
\(321\) 77.2710 + 37.3516i 0.240720 + 0.116360i
\(322\) −34.6657 + 639.370i −0.107657 + 1.98562i
\(323\) 41.2022 187.183i 0.127561 0.579515i
\(324\) −32.6686 158.672i −0.100829 0.489728i
\(325\) 243.828 82.1553i 0.750241 0.252786i
\(326\) 29.0564 132.005i 0.0891300 0.404922i
\(327\) −170.428 535.640i −0.521187 1.63804i
\(328\) −87.7376 + 83.1094i −0.267493 + 0.253382i
\(329\) −320.639 + 338.495i −0.974587 + 1.02886i
\(330\) 109.734 48.5284i 0.332528 0.147056i
\(331\) 7.71030 47.0307i 0.0232940 0.142087i −0.972619 0.232406i \(-0.925340\pi\)
0.995913 + 0.0903188i \(0.0287886\pi\)
\(332\) −197.392 133.835i −0.594554 0.403118i
\(333\) −349.633 + 247.551i −1.04995 + 0.743397i
\(334\) 17.8759 10.7556i 0.0535207 0.0322023i
\(335\) −27.4184 124.563i −0.0818461 0.371830i
\(336\) −67.6049 116.795i −0.201205 0.347605i
\(337\) −563.332 260.625i −1.67161 0.773369i −0.999457 0.0329565i \(-0.989508\pi\)
−0.672153 0.740412i \(-0.734630\pi\)
\(338\) −27.1838 + 7.54754i −0.0804254 + 0.0223300i
\(339\) 296.848 + 185.530i 0.875659 + 0.547285i
\(340\) −30.7456 + 3.34378i −0.0904282 + 0.00983466i
\(341\) 498.459 + 264.266i 1.46176 + 0.774974i
\(342\) 140.770 279.050i 0.411609 0.815935i
\(343\) −85.6513 + 308.488i −0.249712 + 0.899383i
\(344\) 100.105 + 85.0302i 0.291004 + 0.247181i
\(345\) 179.727 + 157.981i 0.520948 + 0.457916i
\(346\) −249.737 368.334i −0.721783 1.06455i
\(347\) −189.333 409.236i −0.545628 1.17936i −0.962722 0.270492i \(-0.912814\pi\)
0.417094 0.908863i \(-0.363048\pi\)
\(348\) 63.8084 115.580i 0.183357 0.332126i
\(349\) 30.6556 76.9397i 0.0878384 0.220458i −0.878495 0.477752i \(-0.841452\pi\)
0.966333 + 0.257294i \(0.0828310\pi\)
\(350\) −202.840 + 266.832i −0.579544 + 0.762377i
\(351\) −281.881 + 170.884i −0.803079 + 0.486850i
\(352\) −76.5239 25.7839i −0.217397 0.0732497i
\(353\) 366.920i 1.03943i −0.854339 0.519717i \(-0.826037\pi\)
0.854339 0.519717i \(-0.173963\pi\)
\(354\) 244.917 + 51.7085i 0.691855 + 0.146069i
\(355\) −26.6373 −0.0750348
\(356\) −53.3153 + 158.234i −0.149762 + 0.444478i
\(357\) 46.9986 259.101i 0.131649 0.725772i
\(358\) 339.005 + 257.705i 0.946941 + 0.719846i
\(359\) −42.0693 16.7619i −0.117185 0.0466906i 0.310809 0.950472i \(-0.399400\pi\)
−0.427994 + 0.903782i \(0.640779\pi\)
\(360\) −49.9231 7.14828i −0.138675 0.0198563i
\(361\) 219.628 101.611i 0.608388 0.281470i
\(362\) −30.8367 + 20.9078i −0.0851842 + 0.0577563i
\(363\) 186.507 + 163.941i 0.513793 + 0.451627i
\(364\) −177.768 + 209.284i −0.488373 + 0.574957i
\(365\) −223.341 62.0104i −0.611894 0.169891i
\(366\) −30.7604 + 28.1644i −0.0840448 + 0.0769520i
\(367\) −16.0301 + 30.2360i −0.0436787 + 0.0823868i −0.904391 0.426706i \(-0.859674\pi\)
0.860712 + 0.509092i \(0.170019\pi\)
\(368\) −17.4119 160.099i −0.0473148 0.435053i
\(369\) −377.155 75.0346i −1.02210 0.203346i
\(370\) 35.6788 + 128.503i 0.0964292 + 0.347307i
\(371\) −127.219 + 274.979i −0.342908 + 0.741183i
\(372\) −118.795 205.233i −0.319343 0.551701i
\(373\) 520.747 114.625i 1.39610 0.307306i 0.547709 0.836669i \(-0.315500\pi\)
0.848396 + 0.529363i \(0.177569\pi\)
\(374\) −81.2357 135.015i −0.217208 0.361002i
\(375\) 68.7804 + 265.068i 0.183415 + 0.706849i
\(376\) 65.8080 97.0595i 0.175021 0.258137i
\(377\) −265.099 43.4608i −0.703180 0.115281i
\(378\) 179.004 390.320i 0.473556 1.03259i
\(379\) 139.503 + 132.144i 0.368082 + 0.348666i 0.849277 0.527948i \(-0.177038\pi\)
−0.481195 + 0.876614i \(0.659797\pi\)
\(380\) −66.9123 70.6385i −0.176085 0.185891i
\(381\) 63.5237 + 199.649i 0.166729 + 0.524013i
\(382\) −19.4446 4.28007i −0.0509020 0.0112044i
\(383\) −57.7556 171.412i −0.150798 0.447552i 0.845454 0.534048i \(-0.179330\pi\)
−0.996252 + 0.0864956i \(0.972433\pi\)
\(384\) 21.5316 + 26.2372i 0.0560718 + 0.0683261i
\(385\) 310.607 + 68.3698i 0.806772 + 0.177584i
\(386\) −256.979 13.9330i −0.665748 0.0360958i
\(387\) −36.7531 + 416.314i −0.0949693 + 1.07575i
\(388\) −101.059 95.7282i −0.260461 0.246722i
\(389\) −137.595 + 7.46018i −0.353714 + 0.0191778i −0.230140 0.973157i \(-0.573918\pi\)
−0.123574 + 0.992335i \(0.539436\pi\)
\(390\) 20.3587 + 100.578i 0.0522017 + 0.257894i
\(391\) 176.350 260.097i 0.451023 0.665209i
\(392\) 23.6905 217.831i 0.0604351 0.555691i
\(393\) 411.569 + 324.015i 1.04725 + 0.824465i
\(394\) 452.259 99.5496i 1.14786 0.252664i
\(395\) 38.1604 6.25609i 0.0966087 0.0158382i
\(396\) −73.7466 246.138i −0.186229 0.621559i
\(397\) 35.5581 + 128.069i 0.0895670 + 0.322591i 0.994737 0.102458i \(-0.0326706\pi\)
−0.905170 + 0.425049i \(0.860257\pi\)
\(398\) 35.1411 + 46.2273i 0.0882942 + 0.116149i
\(399\) 738.422 375.599i 1.85068 0.941350i
\(400\) 39.4868 74.4800i 0.0987170 0.186200i
\(401\) 201.630 80.3367i 0.502817 0.200341i −0.104917 0.994481i \(-0.533458\pi\)
0.607735 + 0.794140i \(0.292078\pi\)
\(402\) −271.996 + 24.9263i −0.676608 + 0.0620056i
\(403\) −312.374 + 367.755i −0.775122 + 0.912544i
\(404\) 164.226 87.0670i 0.406499 0.215512i
\(405\) −73.2308 142.791i −0.180817 0.352571i
\(406\) 317.607 146.940i 0.782282 0.361922i
\(407\) −517.875 + 439.887i −1.27242 + 1.08080i
\(408\) −1.12215 + 66.2200i −0.00275037 + 0.162304i
\(409\) −12.2279 9.29541i −0.0298971 0.0227272i 0.590119 0.807316i \(-0.299081\pi\)
−0.620016 + 0.784589i \(0.712874\pi\)
\(410\) −61.7187 + 102.577i −0.150533 + 0.250188i
\(411\) −16.2595 436.632i −0.0395607 1.06236i
\(412\) 86.3425 0.209569
\(413\) 442.315 + 494.566i 1.07098 + 1.19750i
\(414\) 383.753 339.595i 0.926941 0.820278i
\(415\) −223.873 75.4318i −0.539454 0.181763i
\(416\) 35.6055 59.1767i 0.0855900 0.142252i
\(417\) −422.329 125.004i −1.01278 0.299770i
\(418\) 183.488 460.521i 0.438967 1.10172i
\(419\) −395.145 + 335.640i −0.943068 + 0.801049i −0.980149 0.198263i \(-0.936470\pi\)
0.0370810 + 0.999312i \(0.488194\pi\)
\(420\) −95.4790 93.5624i −0.227331 0.222768i
\(421\) −46.9645 69.2674i −0.111555 0.164531i 0.767813 0.640674i \(-0.221345\pi\)
−0.879368 + 0.476143i \(0.842034\pi\)
\(422\) −440.031 + 233.290i −1.04273 + 0.552819i
\(423\) 373.060 7.56557i 0.881939 0.0178855i
\(424\) 20.3863 73.4250i 0.0480810 0.173172i
\(425\) 152.812 60.8858i 0.359557 0.143261i
\(426\) −7.12745 + 56.5965i −0.0167311 + 0.132856i
\(427\) −109.902 + 11.9526i −0.257383 + 0.0279920i
\(428\) −34.6261 45.5499i −0.0809021 0.106425i
\(429\) −421.523 + 309.306i −0.982572 + 0.720994i
\(430\) 118.082 + 54.6305i 0.274609 + 0.127048i
\(431\) 72.1966 11.8360i 0.167509 0.0274618i −0.0774435 0.996997i \(-0.524676\pi\)
0.244953 + 0.969535i \(0.421227\pi\)
\(432\) −28.5461 + 104.159i −0.0660789 + 0.241109i
\(433\) 18.0067 10.8343i 0.0415860 0.0250214i −0.494609 0.869116i \(-0.664689\pi\)
0.536195 + 0.844094i \(0.319861\pi\)
\(434\) 67.9600 624.882i 0.156590 1.43982i
\(435\) 30.2739 127.228i 0.0695952 0.292478i
\(436\) −60.6251 + 369.796i −0.139048 + 0.848157i
\(437\) 987.193 53.5241i 2.25902 0.122481i
\(438\) −191.514 + 457.942i −0.437246 + 1.04553i
\(439\) 283.459 268.507i 0.645693 0.611633i −0.293114 0.956078i \(-0.594691\pi\)
0.938807 + 0.344445i \(0.111933\pi\)
\(440\) −79.8732 4.33060i −0.181530 0.00984227i
\(441\) 609.255 339.007i 1.38153 0.768723i
\(442\) 127.708 43.0297i 0.288931 0.0973523i
\(443\) 84.5923 + 251.061i 0.190953 + 0.566729i 0.999773 0.0213283i \(-0.00678952\pi\)
−0.808819 + 0.588057i \(0.799893\pi\)
\(444\) 282.579 41.4228i 0.636438 0.0932946i
\(445\) −8.95471 + 165.160i −0.0201229 + 0.371146i
\(446\) −223.708 236.165i −0.501587 0.529519i
\(447\) −175.333 + 419.250i −0.392243 + 0.937919i
\(448\) 4.87070 + 89.8348i 0.0108721 + 0.200524i
\(449\) −39.2530 6.43520i −0.0874231 0.0143323i 0.117912 0.993024i \(-0.462380\pi\)
−0.205335 + 0.978692i \(0.565828\pi\)
\(450\) 266.025 34.4028i 0.591168 0.0764507i
\(451\) −606.354 65.9449i −1.34446 0.146219i
\(452\) −120.316 199.966i −0.266185 0.442403i
\(453\) 502.317 328.295i 1.10887 0.724713i
\(454\) 38.9462 + 237.561i 0.0857845 + 0.523262i
\(455\) −114.213 + 246.867i −0.251017 + 0.542565i
\(456\) −167.990 + 123.268i −0.368399 + 0.270324i
\(457\) −473.855 + 360.215i −1.03688 + 0.788216i −0.977695 0.210031i \(-0.932644\pi\)
−0.0591860 + 0.998247i \(0.518851\pi\)
\(458\) −53.2717 489.825i −0.116314 1.06949i
\(459\) −174.033 + 118.846i −0.379156 + 0.258923i
\(460\) −59.0470 148.197i −0.128363 0.322167i
\(461\) 150.865 + 41.8874i 0.327255 + 0.0908620i 0.427270 0.904124i \(-0.359475\pi\)
−0.100015 + 0.994986i \(0.531889\pi\)
\(462\) 228.376 641.654i 0.494320 1.38886i
\(463\) −110.846 209.077i −0.239407 0.451570i 0.734471 0.678640i \(-0.237430\pi\)
−0.973879 + 0.227070i \(0.927085\pi\)
\(464\) −72.8496 + 49.3932i −0.157003 + 0.106451i
\(465\) −167.776 164.408i −0.360809 0.353566i
\(466\) −309.639 364.535i −0.664462 0.782265i
\(467\) −399.704 159.256i −0.855897 0.341020i −0.0994235 0.995045i \(-0.531700\pi\)
−0.756473 + 0.654025i \(0.773079\pi\)
\(468\) 219.147 16.3440i 0.468263 0.0349231i
\(469\) −620.360 373.258i −1.32273 0.795859i
\(470\) 37.0905 110.081i 0.0789160 0.234214i
\(471\) −248.623 + 94.2111i −0.527861 + 0.200024i
\(472\) −129.904 104.751i −0.275221 0.221931i
\(473\) 662.884i 1.40145i
\(474\) −3.08161 82.7536i −0.00650129 0.174586i
\(475\) 443.437 + 266.807i 0.933552 + 0.561700i
\(476\) −106.240 + 139.756i −0.223193 + 0.293605i
\(477\) 228.165 82.0657i 0.478334 0.172045i
\(478\) 258.833 + 304.721i 0.541491 + 0.637492i
\(479\) 125.004 + 270.191i 0.260968 + 0.564073i 0.993124 0.117064i \(-0.0373481\pi\)
−0.732157 + 0.681136i \(0.761486\pi\)
\(480\) 27.5045 + 19.3367i 0.0573010 + 0.0402849i
\(481\) −272.206 513.434i −0.565916 1.06743i
\(482\) −292.575 248.515i −0.607001 0.515591i
\(483\) 1352.63 123.958i 2.80048 0.256641i
\(484\) −61.2744 153.787i −0.126600 0.317742i
\(485\) −121.827 64.5887i −0.251190 0.133173i
\(486\) −322.984 + 117.387i −0.664575 + 0.241537i
\(487\) 345.344 262.524i 0.709126 0.539063i −0.187275 0.982308i \(-0.559966\pi\)
0.896401 + 0.443244i \(0.146172\pi\)
\(488\) 26.7909 7.43846i 0.0548994 0.0152427i
\(489\) −286.003 20.3719i −0.584873 0.0416603i
\(490\) −35.1151 214.193i −0.0716635 0.437128i
\(491\) 16.8533 + 76.5652i 0.0343244 + 0.155937i 0.990665 0.136316i \(-0.0435261\pi\)
−0.956341 + 0.292253i \(0.905595\pi\)
\(492\) 201.432 + 158.581i 0.409415 + 0.322319i
\(493\) −170.738 18.5689i −0.346326 0.0376652i
\(494\) 350.919 + 237.929i 0.710361 + 0.481637i
\(495\) −135.618 215.389i −0.273976 0.435129i
\(496\) 8.55881 + 157.858i 0.0172557 + 0.318262i
\(497\) −103.983 + 109.773i −0.209221 + 0.220871i
\(498\) −220.173 + 455.481i −0.442114 + 0.914621i
\(499\) 7.04358 129.911i 0.0141154 0.260343i −0.982955 0.183848i \(-0.941144\pi\)
0.997070 0.0764946i \(-0.0243728\pi\)
\(500\) 39.2459 178.296i 0.0784919 0.356592i
\(501\) −28.0747 34.2104i −0.0560374 0.0682842i
\(502\) 156.586 52.7598i 0.311924 0.105099i
\(503\) −42.4784 + 192.981i −0.0844500 + 0.383660i −0.999820 0.0189526i \(-0.993967\pi\)
0.915370 + 0.402613i \(0.131898\pi\)
\(504\) −224.340 + 177.830i −0.445119 + 0.352837i
\(505\) 133.676 126.625i 0.264705 0.250742i
\(506\) 558.945 590.071i 1.10463 1.16615i
\(507\) 24.2052 + 54.7336i 0.0477419 + 0.107956i
\(508\) 22.5968 137.834i 0.0444819 0.271327i
\(509\) 124.952 + 84.7197i 0.245486 + 0.166443i 0.677725 0.735316i \(-0.262966\pi\)
−0.432239 + 0.901759i \(0.642276\pi\)
\(510\) 16.4778 + 63.5028i 0.0323095 + 0.124515i
\(511\) −1127.39 + 678.328i −2.20624 + 1.32745i
\(512\) −4.86423 22.0984i −0.00950044 0.0431609i
\(513\) −629.006 209.605i −1.22613 0.408587i
\(514\) −446.023 206.352i −0.867748 0.401463i
\(515\) 82.4119 22.8816i 0.160023 0.0444302i
\(516\) 147.669 236.272i 0.286181 0.457891i
\(517\) 588.363 63.9883i 1.13803 0.123768i
\(518\) 668.843 + 354.598i 1.29120 + 0.684552i
\(519\) −696.256 + 637.497i −1.34153 + 1.22832i
\(520\) 18.3022 65.9186i 0.0351965 0.126766i
\(521\) −273.553 232.358i −0.525054 0.445985i 0.345242 0.938514i \(-0.387797\pi\)
−0.870296 + 0.492529i \(0.836073\pi\)
\(522\) −262.221 98.3659i −0.502340 0.188440i
\(523\) 198.028 + 292.069i 0.378638 + 0.558449i 0.968487 0.249064i \(-0.0801231\pi\)
−0.589849 + 0.807514i \(0.700813\pi\)
\(524\) −146.627 316.930i −0.279823 0.604828i
\(525\) 622.460 + 343.643i 1.18564 + 0.654557i
\(526\) 19.2512 48.3169i 0.0365993 0.0918572i
\(527\) −186.685 + 245.580i −0.354241 + 0.465996i
\(528\) −30.5732 + 168.548i −0.0579038 + 0.319220i
\(529\) 1034.78 + 348.657i 1.95610 + 0.659087i
\(530\) 75.4850i 0.142424i
\(531\) 33.1761 529.963i 0.0624785 0.998046i
\(532\) −552.305 −1.03817
\(533\) 166.562 494.338i 0.312499 0.927463i
\(534\) 348.520 + 63.2185i 0.652659 + 0.118387i
\(535\) −45.1209 34.3000i −0.0843382 0.0641122i
\(536\) 169.158 + 67.3988i 0.315593 + 0.125744i
\(537\) 436.591 790.822i 0.813019 1.47267i
\(538\) −52.2216 + 24.1603i −0.0970662 + 0.0449076i
\(539\) 915.309 620.595i 1.69816 1.15138i
\(540\) 0.356549 + 106.982i 0.000660276 + 0.198116i
\(541\) 182.170 214.467i 0.336728 0.396427i −0.567573 0.823323i \(-0.692117\pi\)
0.904300 + 0.426897i \(0.140393\pi\)
\(542\) 508.619 + 141.217i 0.938411 + 0.260549i
\(543\) 53.3707 + 58.2900i 0.0982886 + 0.107348i
\(544\) 20.6816 39.0097i 0.0380177 0.0717090i
\(545\) 40.1342 + 369.028i 0.0736408 + 0.677116i
\(546\) 493.959 + 308.724i 0.904687 + 0.565428i
\(547\) −62.8111 226.225i −0.114828 0.413574i 0.883685 0.468082i \(-0.155055\pi\)
−0.998513 + 0.0545078i \(0.982641\pi\)
\(548\) −122.309 + 264.367i −0.223192 + 0.482422i
\(549\) 68.5782 + 55.8972i 0.124915 + 0.101816i
\(550\) 415.509 91.4605i 0.755471 0.166292i
\(551\) −278.567 462.983i −0.505567 0.840259i
\(552\) −330.674 + 85.8039i −0.599047 + 0.155442i
\(553\) 123.183 181.682i 0.222754 0.328538i
\(554\) −609.695 99.9545i −1.10053 0.180423i
\(555\) 258.737 114.423i 0.466193 0.206168i
\(556\) 213.172 + 201.927i 0.383403 + 0.363179i
\(557\) 596.608 + 629.831i 1.07111 + 1.13076i 0.990985 + 0.133971i \(0.0427730\pi\)
0.0801239 + 0.996785i \(0.474468\pi\)
\(558\) −394.211 + 312.483i −0.706471 + 0.560006i
\(559\) −553.679 121.874i −0.990482 0.218021i
\(560\) 28.4560 + 84.4544i 0.0508143 + 0.150811i
\(561\) −258.387 + 212.045i −0.460583 + 0.377977i
\(562\) 402.590 + 88.6168i 0.716352 + 0.157681i
\(563\) −131.770 7.14439i −0.234051 0.0126899i −0.0632595 0.997997i \(-0.520150\pi\)
−0.170791 + 0.985307i \(0.554632\pi\)
\(564\) −223.965 108.261i −0.397100 0.191952i
\(565\) −167.831 158.978i −0.297046 0.281377i
\(566\) 94.5886 5.12844i 0.167118 0.00906086i
\(567\) −874.312 255.619i −1.54200 0.450827i
\(568\) 21.3414 31.4762i 0.0375729 0.0554158i
\(569\) 76.3345 701.884i 0.134155 1.23354i −0.712605 0.701565i \(-0.752485\pi\)
0.846761 0.531974i \(-0.178550\pi\)
\(570\) −127.675 + 162.175i −0.223992 + 0.284518i
\(571\) 744.225 163.816i 1.30337 0.286894i 0.491576 0.870835i \(-0.336421\pi\)
0.811796 + 0.583941i \(0.198490\pi\)
\(572\) 343.962 56.3898i 0.601333 0.0985835i
\(573\) −3.00082 + 42.1288i −0.00523704 + 0.0735233i
\(574\) 181.796 + 654.769i 0.316717 + 1.14071i
\(575\) 513.488 + 675.482i 0.893023 + 1.17475i
\(576\) 48.4443 53.2649i 0.0841048 0.0924737i
\(577\) −13.7111 + 25.8619i −0.0237627 + 0.0448213i −0.895109 0.445847i \(-0.852903\pi\)
0.871346 + 0.490668i \(0.163247\pi\)
\(578\) −299.643 + 119.389i −0.518414 + 0.206555i
\(579\) 49.8217 + 543.657i 0.0860479 + 0.938958i
\(580\) −56.4435 + 66.4505i −0.0973164 + 0.114570i
\(581\) −1184.78 + 628.129i −2.03920 + 1.08112i
\(582\) −169.830 + 241.565i −0.291804 + 0.415060i
\(583\) 349.044 161.485i 0.598703 0.276989i
\(584\) 252.212 214.231i 0.431870 0.366834i
\(585\) 204.839 73.6759i 0.350153 0.125942i
\(586\) −517.534 393.419i −0.883165 0.671364i
\(587\) −152.383 + 253.263i −0.259596 + 0.431452i −0.959055 0.283221i \(-0.908597\pi\)
0.699458 + 0.714673i \(0.253425\pi\)
\(588\) −464.492 + 17.2969i −0.789953 + 0.0294166i
\(589\) −970.512 −1.64773
\(590\) −151.751 65.5570i −0.257205 0.111114i
\(591\) −348.092 918.612i −0.588987 1.55434i
\(592\) −180.432 60.7947i −0.304784 0.102694i
\(593\) −39.4231 + 65.5217i −0.0664807 + 0.110492i −0.888315 0.459235i \(-0.848124\pi\)
0.821834 + 0.569727i \(0.192951\pi\)
\(594\) −493.926 + 230.516i −0.831525 + 0.388074i
\(595\) −64.3668 + 161.548i −0.108179 + 0.271510i
\(596\) 230.902 196.130i 0.387420 0.329078i
\(597\) 86.2141 87.9802i 0.144412 0.147371i
\(598\) 390.097 + 575.351i 0.652337 + 0.962125i
\(599\) −431.928 + 228.994i −0.721082 + 0.382293i −0.788173 0.615454i \(-0.788973\pi\)
0.0670916 + 0.997747i \(0.478628\pi\)
\(600\) −168.474 59.9629i −0.280791 0.0999382i
\(601\) −252.082 + 907.918i −0.419438 + 1.51068i 0.388520 + 0.921440i \(0.372986\pi\)
−0.807959 + 0.589239i \(0.799428\pi\)
\(602\) 686.083 273.360i 1.13967 0.454087i
\(603\) 136.003 + 563.221i 0.225545 + 0.934032i
\(604\) −397.710 + 43.2536i −0.658461 + 0.0716119i
\(605\) −99.2400 130.548i −0.164033 0.215782i
\(606\) −233.272 317.904i −0.384937 0.524593i
\(607\) 829.558 + 383.795i 1.36665 + 0.632281i 0.959663 0.281152i \(-0.0907164\pi\)
0.406990 + 0.913433i \(0.366579\pi\)
\(608\) 137.079 22.4730i 0.225460 0.0369622i
\(609\) −406.131 621.411i −0.666882 1.02038i
\(610\) 23.6000 14.1997i 0.0386886 0.0232781i
\(611\) −54.7262 + 503.199i −0.0895683 + 0.823567i
\(612\) 139.334 18.0188i 0.227669 0.0294425i
\(613\) 3.28892 20.0615i 0.00536528 0.0327268i −0.984008 0.178123i \(-0.942997\pi\)
0.989373 + 0.145396i \(0.0464457\pi\)
\(614\) −390.045 + 21.1476i −0.635252 + 0.0344424i
\(615\) 234.288 + 97.9804i 0.380955 + 0.159318i
\(616\) −329.643 + 312.254i −0.535134 + 0.506906i
\(617\) −452.590 24.5387i −0.733533 0.0397710i −0.316412 0.948622i \(-0.602478\pi\)
−0.417121 + 0.908851i \(0.636961\pi\)
\(618\) −26.5653 181.223i −0.0429859 0.293242i
\(619\) −752.199 + 253.445i −1.21518 + 0.409443i −0.852628 0.522519i \(-0.824992\pi\)
−0.362556 + 0.931962i \(0.618096\pi\)
\(620\) 50.0030 + 148.404i 0.0806500 + 0.239361i
\(621\) −830.844 700.972i −1.33791 1.12878i
\(622\) −34.1382 + 629.642i −0.0548846 + 1.01229i
\(623\) 645.672 + 681.628i 1.03639 + 1.09411i
\(624\) −135.160 56.5248i −0.216603 0.0905846i
\(625\) 18.7336 + 345.522i 0.0299738 + 0.552835i
\(626\) 135.045 + 22.1395i 0.215727 + 0.0353666i
\(627\) −1023.04 243.432i −1.63164 0.388248i
\(628\) 176.210 + 19.1640i 0.280590 + 0.0305160i
\(629\) −191.542 318.345i −0.304518 0.506113i
\(630\) −167.001 + 229.187i −0.265081 + 0.363788i
\(631\) −27.7688 169.382i −0.0440076 0.268435i 0.955653 0.294496i \(-0.0951518\pi\)
−0.999660 + 0.0260613i \(0.991703\pi\)
\(632\) −23.1809 + 50.1048i −0.0366787 + 0.0792797i
\(633\) 625.035 + 851.799i 0.987417 + 1.34565i
\(634\) −95.9481 + 72.9378i −0.151338 + 0.115044i
\(635\) −14.9592 137.548i −0.0235579 0.216611i
\(636\) −160.383 20.1978i −0.252175 0.0317575i
\(637\) 350.074 + 878.618i 0.549566 + 1.37931i
\(638\) −428.018 118.839i −0.670874 0.186267i
\(639\) 120.983 2.45350i 0.189331 0.00383959i
\(640\) −10.4991 19.8033i −0.0164048 0.0309427i
\(641\) −999.730 + 677.834i −1.55964 + 1.05746i −0.591742 + 0.806128i \(0.701559\pi\)
−0.967900 + 0.251336i \(0.919130\pi\)
\(642\) −84.9506 + 86.6909i −0.132322 + 0.135032i
\(643\) 172.058 + 202.562i 0.267586 + 0.315027i 0.879501 0.475897i \(-0.157876\pi\)
−0.611915 + 0.790924i \(0.709601\pi\)
\(644\) −841.220 335.173i −1.30624 0.520455i
\(645\) 78.3328 264.649i 0.121446 0.410309i
\(646\) 232.255 + 139.743i 0.359528 + 0.216321i
\(647\) 142.671 423.431i 0.220511 0.654453i −0.779109 0.626888i \(-0.784328\pi\)
0.999620 0.0275648i \(-0.00877525\pi\)
\(648\) 227.401 + 27.8681i 0.350928 + 0.0430063i
\(649\) −21.5033 841.944i −0.0331330 1.29729i
\(650\) 363.873i 0.559804i
\(651\) −1332.47 + 49.6189i −2.04680 + 0.0762195i
\(652\) 163.790 + 98.5490i 0.251211 + 0.151149i
\(653\) 296.583 390.149i 0.454186 0.597472i −0.510824 0.859685i \(-0.670660\pi\)
0.965010 + 0.262214i \(0.0844526\pi\)
\(654\) 794.815 + 13.4688i 1.21531 + 0.0205945i
\(655\) −223.942 263.644i −0.341896 0.402511i
\(656\) −71.7631 155.113i −0.109395 0.236453i
\(657\) 1020.09 + 261.070i 1.55265 + 0.397367i
\(658\) −308.857 582.566i −0.469388 0.885359i
\(659\) 977.773 + 830.528i 1.48372 + 1.26028i 0.890284 + 0.455405i \(0.150505\pi\)
0.593438 + 0.804880i \(0.297770\pi\)
\(660\) 15.4854 + 168.977i 0.0234627 + 0.256026i
\(661\) 433.041 + 1086.85i 0.655130 + 1.64425i 0.760123 + 0.649779i \(0.225139\pi\)
−0.104993 + 0.994473i \(0.533482\pi\)
\(662\) 59.5482 + 31.5704i 0.0899519 + 0.0476895i
\(663\) −129.607 254.805i −0.195485 0.384322i
\(664\) 268.498 204.107i 0.404365 0.307390i
\(665\) −527.162 + 146.366i −0.792724 + 0.220099i
\(666\) −173.884 580.357i −0.261087 0.871406i
\(667\) −143.322 874.226i −0.214876 1.31068i
\(668\) 6.34240 + 28.8138i 0.00949461 + 0.0431345i
\(669\) −426.856 + 542.200i −0.638051 + 0.810463i
\(670\) 179.319 + 19.5021i 0.267640 + 0.0291076i
\(671\) 116.147 + 78.7496i 0.173095 + 0.117362i
\(672\) 187.055 37.8628i 0.278355 0.0563435i
\(673\) −2.09515 38.6429i −0.00311316 0.0574188i 0.996564 0.0828259i \(-0.0263945\pi\)
−0.999677 + 0.0254071i \(0.991912\pi\)
\(674\) 603.665 637.281i 0.895645 0.945521i
\(675\) −154.057 547.773i −0.228232 0.811516i
\(676\) 2.16003 39.8394i 0.00319531 0.0589341i
\(677\) −78.1169 + 354.888i −0.115387 + 0.524207i 0.883098 + 0.469188i \(0.155453\pi\)
−0.998485 + 0.0550198i \(0.982478\pi\)
\(678\) −382.689 + 314.053i −0.564438 + 0.463206i
\(679\) −741.742 + 249.922i −1.09240 + 0.368073i
\(680\) 9.40220 42.7146i 0.0138268 0.0628157i
\(681\) 486.632 154.835i 0.714584 0.227364i
\(682\) −579.250 + 548.694i −0.849340 + 0.804537i
\(683\) 68.2018 71.9998i 0.0998562 0.105417i −0.674151 0.738593i \(-0.735491\pi\)
0.774008 + 0.633176i \(0.218249\pi\)
\(684\) 310.412 + 314.666i 0.453818 + 0.460038i
\(685\) −46.6816 + 284.745i −0.0681484 + 0.415687i
\(686\) −374.754 254.090i −0.546289 0.370393i
\(687\) −1011.70 + 262.518i −1.47263 + 0.382122i
\(688\) −159.160 + 95.7632i −0.231337 + 0.139191i
\(689\) 70.7084 + 321.231i 0.102625 + 0.466228i
\(690\) −292.881 + 169.529i −0.424466 + 0.245695i
\(691\) 138.078 + 63.8819i 0.199824 + 0.0924485i 0.517249 0.855835i \(-0.326956\pi\)
−0.317425 + 0.948283i \(0.602818\pi\)
\(692\) 606.407 168.368i 0.876311 0.243307i
\(693\) −1417.03 281.916i −2.04477 0.406805i
\(694\) 633.947 68.9459i 0.913468 0.0993457i
\(695\) 256.980 + 136.242i 0.369756 + 0.196032i
\(696\) 126.085 + 137.706i 0.181156 + 0.197854i
\(697\) 89.2199 321.341i 0.128006 0.461034i
\(698\) 89.2705 + 75.8271i 0.127895 + 0.108635i
\(699\) −669.852 + 762.056i −0.958300 + 1.09021i
\(700\) −266.009 392.334i −0.380013 0.560478i
\(701\) −357.685 773.124i −0.510250 1.10289i −0.975960 0.217950i \(-0.930063\pi\)
0.465710 0.884938i \(-0.345799\pi\)
\(702\) −101.730 454.937i −0.144914 0.648058i
\(703\) 432.639 1085.84i 0.615418 1.54458i
\(704\) 69.1103 90.9131i 0.0981681 0.129138i
\(705\) −242.459 43.9800i −0.343913 0.0623830i
\(706\) 491.740 + 165.687i 0.696516 + 0.234684i
\(707\) 1045.18i 1.47833i
\(708\) −179.894 + 304.884i −0.254087 + 0.430627i
\(709\) 252.288 0.355837 0.177919 0.984045i \(-0.443064\pi\)
0.177919 + 0.984045i \(0.443064\pi\)
\(710\) 12.0284 35.6989i 0.0169414 0.0502802i
\(711\) −172.743 + 31.9290i −0.242957 + 0.0449072i
\(712\) −187.988 142.905i −0.264028 0.200709i
\(713\) −1478.20 588.967i −2.07321 0.826041i
\(714\) 326.020 + 179.986i 0.456610 + 0.252082i
\(715\) 313.360 144.976i 0.438266 0.202763i
\(716\) −498.453 + 337.959i −0.696163 + 0.472010i
\(717\) 559.940 637.016i 0.780949 0.888446i
\(718\) 41.4609 48.8116i 0.0577450 0.0679827i
\(719\) 762.980 + 211.840i 1.06117 + 0.294632i 0.753899 0.656991i \(-0.228171\pi\)
0.307269 + 0.951623i \(0.400585\pi\)
\(720\) 32.1233 63.6782i 0.0446157 0.0884420i
\(721\) 227.411 428.943i 0.315411 0.594928i
\(722\) 37.0018 + 340.226i 0.0512490 + 0.471227i
\(723\) −431.588 + 690.543i −0.596941 + 0.955108i
\(724\) −14.0956 50.7679i −0.0194691 0.0701215i
\(725\) 194.716 420.872i 0.268574 0.580513i
\(726\) −303.930 + 175.924i −0.418636 + 0.242320i
\(727\) 658.586 144.966i 0.905895 0.199403i 0.262496 0.964933i \(-0.415454\pi\)
0.643399 + 0.765531i \(0.277523\pi\)
\(728\) −200.207 332.746i −0.275009 0.457069i
\(729\) 345.755 + 641.790i 0.474287 + 0.880370i
\(730\) 183.957 271.317i 0.251996 0.371667i
\(731\) −357.677 58.6381i −0.489298 0.0802163i
\(732\) −23.8554 53.9426i −0.0325893 0.0736920i
\(733\) 910.647 + 862.611i 1.24236 + 1.17682i 0.977131 + 0.212636i \(0.0682049\pi\)
0.265225 + 0.964187i \(0.414554\pi\)
\(734\) −33.2832 35.1366i −0.0453449 0.0478701i
\(735\) −438.763 + 139.604i −0.596956 + 0.189938i
\(736\) 222.425 + 48.9595i 0.302208 + 0.0665210i
\(737\) 293.438 + 870.894i 0.398152 + 1.18167i
\(738\) 270.869 471.575i 0.367031 0.638990i
\(739\) −1063.68 234.134i −1.43935 0.316825i −0.574356 0.818605i \(-0.694748\pi\)
−0.864995 + 0.501780i \(0.832679\pi\)
\(740\) −188.329 10.2109i −0.254499 0.0137985i
\(741\) 391.418 809.744i 0.528229 1.09277i
\(742\) −311.075 294.666i −0.419239 0.397124i
\(743\) −435.521 + 23.6133i −0.586166 + 0.0317810i −0.344837 0.938663i \(-0.612066\pi\)
−0.241328 + 0.970444i \(0.577583\pi\)
\(744\) 328.693 66.5327i 0.441792 0.0894257i
\(745\) 168.415 248.393i 0.226060 0.333413i
\(746\) −81.5301 + 749.657i −0.109290 + 1.00490i
\(747\) 1023.75 + 321.979i 1.37048 + 0.431029i
\(748\) 217.627 47.9034i 0.290946 0.0640420i
\(749\) −317.487 + 52.0494i −0.423881 + 0.0694918i
\(750\) −386.299 27.5159i −0.515065 0.0366879i
\(751\) 92.9614 + 334.817i 0.123783 + 0.445828i 0.999302