Properties

Label 354.3.h.a.5.8
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 5.8
Character \(\chi\) = 354.5
Dual form 354.3.h.a.71.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.451561 + 1.34018i) q^{2} +(-0.780089 + 2.89680i) q^{3} +(-1.59219 - 1.21035i) q^{4} +(2.36262 + 0.941352i) q^{5} +(-3.52999 - 2.35354i) q^{6} +(10.5523 - 4.88202i) q^{7} +(2.34106 - 1.58728i) q^{8} +(-7.78292 - 4.51953i) q^{9} +O(q^{10})\) \(q+(-0.451561 + 1.34018i) q^{2} +(-0.780089 + 2.89680i) q^{3} +(-1.59219 - 1.21035i) q^{4} +(2.36262 + 0.941352i) q^{5} +(-3.52999 - 2.35354i) q^{6} +(10.5523 - 4.88202i) q^{7} +(2.34106 - 1.58728i) q^{8} +(-7.78292 - 4.51953i) q^{9} +(-2.32845 + 2.74126i) q^{10} +(11.5138 + 3.19679i) q^{11} +(4.74819 - 3.66807i) q^{12} +(3.56838 - 6.73067i) q^{13} +(1.77780 + 16.3466i) q^{14} +(-4.56996 + 6.10969i) q^{15} +(1.07011 + 3.85420i) q^{16} +(12.8859 - 27.8525i) q^{17} +(9.57146 - 8.38971i) q^{18} +(26.6734 - 5.87126i) q^{19} +(-2.62236 - 4.35840i) q^{20} +(5.91050 + 34.3764i) q^{21} +(-9.48345 + 13.9870i) q^{22} +(-12.1977 - 1.99972i) q^{23} +(2.77179 + 8.01980i) q^{24} +(-13.4541 - 12.7444i) q^{25} +(7.40900 + 7.82159i) q^{26} +(19.1635 - 19.0200i) q^{27} +(-22.7102 - 4.99889i) q^{28} +(14.4736 + 42.9560i) q^{29} +(-6.12449 - 8.88348i) q^{30} +(-15.4573 - 3.40240i) q^{31} +(-5.64856 - 0.306256i) q^{32} +(-18.2422 + 30.8594i) q^{33} +(31.5087 + 29.8466i) q^{34} +(29.5267 - 1.60089i) q^{35} +(6.92166 + 16.6160i) q^{36} +(-33.9250 + 50.0356i) q^{37} +(-4.17609 + 38.3985i) q^{38} +(16.7138 + 15.5874i) q^{39} +(7.02521 - 1.54636i) q^{40} +(-37.6292 + 6.16899i) q^{41} +(-48.7396 - 7.60185i) q^{42} +(6.49471 + 23.3918i) q^{43} +(-14.4629 - 19.0256i) q^{44} +(-14.1336 - 18.0044i) q^{45} +(8.18800 - 15.4442i) q^{46} +(-58.7986 + 23.4275i) q^{47} +(-11.9996 + 0.0932875i) q^{48} +(55.7952 - 65.6872i) q^{49} +(23.1551 - 12.2761i) q^{50} +(70.6310 + 59.0554i) q^{51} +(-13.8280 + 6.39750i) q^{52} +(46.8214 - 39.7704i) q^{53} +(16.8367 + 34.2713i) q^{54} +(24.1933 + 18.3913i) q^{55} +(16.9545 - 28.1785i) q^{56} +(-3.79975 + 81.8476i) q^{57} -64.1046 q^{58} +(-15.0057 - 57.0599i) q^{59} +(14.6711 - 4.19652i) q^{60} +(0.376468 + 0.126847i) q^{61} +(11.5397 - 19.1792i) q^{62} +(-104.192 - 9.69507i) q^{63} +(2.96111 - 7.43181i) q^{64} +(14.7666 - 12.5429i) q^{65} +(-33.1198 - 38.3828i) q^{66} +(34.6905 + 51.1646i) q^{67} +(-54.2280 + 28.7499i) q^{68} +(15.3081 - 33.7744i) q^{69} +(-11.1876 + 40.2942i) q^{70} +(-50.1425 + 19.9786i) q^{71} +(-25.3940 + 1.77318i) q^{72} +(10.2088 - 1.11027i) q^{73} +(-51.7377 - 68.0598i) q^{74} +(47.4133 - 29.0321i) q^{75} +(-49.5753 - 22.9360i) q^{76} +(137.104 - 22.4770i) q^{77} +(-28.4373 + 15.3609i) q^{78} +(71.5789 - 43.0676i) q^{79} +(-1.09989 + 10.1133i) q^{80} +(40.1478 + 70.3502i) q^{81} +(8.72427 - 53.2157i) q^{82} +(-75.7686 + 4.10806i) q^{83} +(32.1968 - 61.8873i) q^{84} +(56.6635 - 53.6745i) q^{85} +(-34.2821 - 1.85872i) q^{86} +(-135.726 + 8.41753i) q^{87} +(32.0286 - 10.7917i) q^{88} +(4.10215 + 12.1747i) q^{89} +(30.5113 - 10.8115i) q^{90} +(4.79535 - 88.4450i) q^{91} +(17.0007 + 17.9474i) q^{92} +(21.9141 - 42.1224i) q^{93} +(-4.84604 - 89.3799i) q^{94} +(68.5459 + 11.2375i) q^{95} +(5.29354 - 16.1238i) q^{96} +(108.689 + 11.8206i) q^{97} +(62.8380 + 104.438i) q^{98} +(-75.1629 - 76.9172i) 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
\(3\) −0.780089 + 2.89680i −0.260030 + 0.965601i
\(4\) −1.59219 1.21035i −0.398047 0.302587i
\(5\) 2.36262 + 0.941352i 0.472523 + 0.188270i 0.594229 0.804296i \(-0.297457\pi\)
−0.121706 + 0.992566i \(0.538837\pi\)
\(6\) −3.52999 2.35354i −0.588332 0.392257i
\(7\) 10.5523 4.88202i 1.50747 0.697431i 0.519847 0.854259i \(-0.325989\pi\)
0.987626 + 0.156828i \(0.0501269\pi\)
\(8\) 2.34106 1.58728i 0.292632 0.198410i
\(9\) −7.78292 4.51953i −0.864769 0.502170i
\(10\) −2.32845 + 2.74126i −0.232845 + 0.274126i
\(11\) 11.5138 + 3.19679i 1.04671 + 0.290617i 0.747980 0.663722i \(-0.231024\pi\)
0.298728 + 0.954338i \(0.403438\pi\)
\(12\) 4.74819 3.66807i 0.395682 0.305672i
\(13\) 3.56838 6.73067i 0.274491 0.517744i −0.707491 0.706723i \(-0.750173\pi\)
0.981981 + 0.188979i \(0.0605177\pi\)
\(14\) 1.77780 + 16.3466i 0.126985 + 1.16761i
\(15\) −4.56996 + 6.10969i −0.304664 + 0.407313i
\(16\) 1.07011 + 3.85420i 0.0668821 + 0.240887i
\(17\) 12.8859 27.8525i 0.757996 1.63838i −0.0116666 0.999932i \(-0.503714\pi\)
0.769663 0.638450i \(-0.220424\pi\)
\(18\) 9.57146 8.38971i 0.531748 0.466095i
\(19\) 26.6734 5.87126i 1.40386 0.309014i 0.552466 0.833536i \(-0.313687\pi\)
0.851397 + 0.524522i \(0.175756\pi\)
\(20\) −2.62236 4.35840i −0.131118 0.217920i
\(21\) 5.91050 + 34.3764i 0.281452 + 1.63697i
\(22\) −9.48345 + 13.9870i −0.431066 + 0.635775i
\(23\) −12.1977 1.99972i −0.530336 0.0869442i −0.109336 0.994005i \(-0.534872\pi\)
−0.421000 + 0.907061i \(0.638321\pi\)
\(24\) 2.77179 + 8.01980i 0.115491 + 0.334158i
\(25\) −13.4541 12.7444i −0.538163 0.509775i
\(26\) 7.40900 + 7.82159i 0.284962 + 0.300830i
\(27\) 19.1635 19.0200i 0.709761 0.704443i
\(28\) −22.7102 4.99889i −0.811078 0.178532i
\(29\) 14.4736 + 42.9560i 0.499088 + 1.48124i 0.840753 + 0.541419i \(0.182113\pi\)
−0.341665 + 0.939822i \(0.610991\pi\)
\(30\) −6.12449 8.88348i −0.204150 0.296116i
\(31\) −15.4573 3.40240i −0.498621 0.109755i −0.0414626 0.999140i \(-0.513202\pi\)
−0.457158 + 0.889385i \(0.651133\pi\)
\(32\) −5.64856 0.306256i −0.176517 0.00957050i
\(33\) −18.2422 + 30.8594i −0.552795 + 0.935132i
\(34\) 31.5087 + 29.8466i 0.926726 + 0.877842i
\(35\) 29.5267 1.60089i 0.843621 0.0457398i
\(36\) 6.92166 + 16.6160i 0.192268 + 0.461555i
\(37\) −33.9250 + 50.0356i −0.916892 + 1.35231i 0.0189227 + 0.999821i \(0.493976\pi\)
−0.935814 + 0.352493i \(0.885334\pi\)
\(38\) −4.17609 + 38.3985i −0.109897 + 1.01049i
\(39\) 16.7138 + 15.5874i 0.428558 + 0.399677i
\(40\) 7.02521 1.54636i 0.175630 0.0386591i
\(41\) −37.6292 + 6.16899i −0.917785 + 0.150463i −0.602118 0.798407i \(-0.705676\pi\)
−0.315667 + 0.948870i \(0.602228\pi\)
\(42\) −48.7396 7.60185i −1.16047 0.180996i
\(43\) 6.49471 + 23.3918i 0.151040 + 0.543996i 0.999882 + 0.0153501i \(0.00488628\pi\)
−0.848842 + 0.528646i \(0.822700\pi\)
\(44\) −14.4629 19.0256i −0.328701 0.432399i
\(45\) −14.1336 18.0044i −0.314080 0.400097i
\(46\) 8.18800 15.4442i 0.178000 0.335744i
\(47\) −58.7986 + 23.4275i −1.25103 + 0.498458i −0.899173 0.437594i \(-0.855831\pi\)
−0.351862 + 0.936052i \(0.614451\pi\)
\(48\) −11.9996 + 0.0932875i −0.249992 + 0.00194349i
\(49\) 55.7952 65.6872i 1.13868 1.34055i
\(50\) 23.1551 12.2761i 0.463103 0.245522i
\(51\) 70.6310 + 59.0554i 1.38492 + 1.15795i
\(52\) −13.8280 + 6.39750i −0.265923 + 0.123029i
\(53\) 46.8214 39.7704i 0.883422 0.750385i −0.0858680 0.996307i \(-0.527366\pi\)
0.969290 + 0.245921i \(0.0790905\pi\)
\(54\) 16.8367 + 34.2713i 0.311791 + 0.634654i
\(55\) 24.1933 + 18.3913i 0.439879 + 0.334387i
\(56\) 16.9545 28.1785i 0.302758 0.503188i
\(57\) −3.79975 + 81.8476i −0.0666623 + 1.43592i
\(58\) −64.1046 −1.10525
\(59\) −15.0057 57.0599i −0.254334 0.967116i
\(60\) 14.6711 4.19652i 0.244518 0.0699420i
\(61\) 0.376468 + 0.126847i 0.00617161 + 0.00207946i 0.322386 0.946608i \(-0.395515\pi\)
−0.316214 + 0.948688i \(0.602412\pi\)
\(62\) 11.5397 19.1792i 0.186125 0.309342i
\(63\) −104.192 9.69507i −1.65384 0.153890i
\(64\) 2.96111 7.43181i 0.0462673 0.116122i
\(65\) 14.7666 12.5429i 0.227179 0.192968i
\(66\) −33.1198 38.3828i −0.501814 0.581558i
\(67\) 34.6905 + 51.1646i 0.517768 + 0.763651i 0.993240 0.116080i \(-0.0370329\pi\)
−0.475472 + 0.879731i \(0.657723\pi\)
\(68\) −54.2280 + 28.7499i −0.797471 + 0.422792i
\(69\) 15.3081 33.7744i 0.221856 0.489485i
\(70\) −11.1876 + 40.2942i −0.159823 + 0.575631i
\(71\) −50.1425 + 19.9786i −0.706232 + 0.281389i −0.695472 0.718553i \(-0.744805\pi\)
−0.0107606 + 0.999942i \(0.503425\pi\)
\(72\) −25.3940 + 1.77318i −0.352695 + 0.0246275i
\(73\) 10.2088 1.11027i 0.139847 0.0152092i −0.0379279 0.999280i \(-0.512076\pi\)
0.177775 + 0.984071i \(0.443110\pi\)
\(74\) −51.7377 68.0598i −0.699159 0.919728i
\(75\) 47.4133 29.0321i 0.632178 0.387094i
\(76\) −49.5753 22.9360i −0.652306 0.301789i
\(77\) 137.104 22.4770i 1.78057 0.291909i
\(78\) −28.4373 + 15.3609i −0.364580 + 0.196934i
\(79\) 71.5789 43.0676i 0.906061 0.545159i 0.0154280 0.999881i \(-0.495089\pi\)
0.890633 + 0.454722i \(0.150261\pi\)
\(80\) −1.09989 + 10.1133i −0.0137487 + 0.126417i
\(81\) 40.1478 + 70.3502i 0.495651 + 0.868522i
\(82\) 8.72427 53.2157i 0.106394 0.648972i
\(83\) −75.7686 + 4.10806i −0.912875 + 0.0494946i −0.504589 0.863360i \(-0.668356\pi\)
−0.408286 + 0.912854i \(0.633873\pi\)
\(84\) 32.1968 61.8873i 0.383295 0.736754i
\(85\) 56.6635 53.6745i 0.666630 0.631465i
\(86\) −34.2821 1.85872i −0.398629 0.0216130i
\(87\) −135.726 + 8.41753i −1.56006 + 0.0967532i
\(88\) 32.0286 10.7917i 0.363961 0.122633i
\(89\) 4.10215 + 12.1747i 0.0460915 + 0.136795i 0.968227 0.250071i \(-0.0804541\pi\)
−0.922136 + 0.386866i \(0.873558\pi\)
\(90\) 30.5113 10.8115i 0.339015 0.120128i
\(91\) 4.79535 88.4450i 0.0526961 0.971923i
\(92\) 17.0007 + 17.9474i 0.184790 + 0.195081i
\(93\) 21.9141 42.1224i 0.235636 0.452929i
\(94\) −4.84604 89.3799i −0.0515536 0.950850i
\(95\) 68.5459 + 11.2375i 0.721536 + 0.118290i
\(96\) 5.29354 16.1238i 0.0551410 0.167957i
\(97\) 108.689 + 11.8206i 1.12050 + 0.121862i 0.649565 0.760306i \(-0.274951\pi\)
0.470936 + 0.882168i \(0.343916\pi\)
\(98\) 62.8380 + 104.438i 0.641204 + 1.06569i
\(99\) −75.1629 76.9172i −0.759221 0.776941i
\(100\) 5.99626 + 36.5756i 0.0599626 + 0.365756i
\(101\) −76.9334 + 166.289i −0.761717 + 1.64642i 0.00125965 + 0.999999i \(0.499599\pi\)
−0.762977 + 0.646426i \(0.776263\pi\)
\(102\) −111.039 + 67.9914i −1.08862 + 0.666583i
\(103\) 137.577 104.583i 1.33570 1.01537i 0.338471 0.940977i \(-0.390090\pi\)
0.997229 0.0743953i \(-0.0237027\pi\)
\(104\) −2.32966 21.4209i −0.0224006 0.205970i
\(105\) −18.3960 + 86.7820i −0.175200 + 0.826495i
\(106\) 32.1570 + 80.7080i 0.303368 + 0.761396i
\(107\) 9.51394 + 2.64153i 0.0889153 + 0.0246872i 0.311701 0.950180i \(-0.399101\pi\)
−0.222786 + 0.974867i \(0.571515\pi\)
\(108\) −53.5327 + 7.08874i −0.495673 + 0.0656364i
\(109\) 58.2750 + 109.918i 0.534633 + 1.00843i 0.992825 + 0.119572i \(0.0381524\pi\)
−0.458192 + 0.888853i \(0.651503\pi\)
\(110\) −35.5725 + 24.1187i −0.323386 + 0.219261i
\(111\) −118.479 137.306i −1.06738 1.23699i
\(112\) 30.1084 + 35.4464i 0.268825 + 0.316486i
\(113\) −60.5946 24.1431i −0.536236 0.213656i 0.0862690 0.996272i \(-0.472506\pi\)
−0.622505 + 0.782616i \(0.713885\pi\)
\(114\) −107.975 42.0515i −0.947150 0.368873i
\(115\) −26.9361 16.2069i −0.234227 0.140930i
\(116\) 28.9471 85.9119i 0.249544 0.740620i
\(117\) −58.1919 + 36.2569i −0.497366 + 0.309888i
\(118\) 83.2467 + 5.65556i 0.705481 + 0.0479285i
\(119\) 356.818i 2.99847i
\(120\) −1.00077 + 21.5569i −0.00833978 + 0.179641i
\(121\) 18.6680 + 11.2321i 0.154281 + 0.0928276i
\(122\) −0.339996 + 0.447257i −0.00278685 + 0.00366604i
\(123\) 11.4838 113.817i 0.0933639 0.925339i
\(124\) 20.4927 + 24.1259i 0.165264 + 0.194564i
\(125\) −46.4869 100.480i −0.371895 0.803838i
\(126\) 60.0423 135.259i 0.476526 1.07348i
\(127\) 12.8569 + 24.2507i 0.101235 + 0.190950i 0.928956 0.370190i \(-0.120708\pi\)
−0.827721 + 0.561141i \(0.810363\pi\)
\(128\) 8.62288 + 7.32434i 0.0673662 + 0.0572214i
\(129\) −72.8279 + 0.566178i −0.564558 + 0.00438898i
\(130\) 10.1418 + 25.4539i 0.0780135 + 0.195799i
\(131\) −93.9427 49.8052i −0.717120 0.380193i 0.0695405 0.997579i \(-0.477847\pi\)
−0.786660 + 0.617386i \(0.788192\pi\)
\(132\) 66.3956 27.0544i 0.502997 0.204958i
\(133\) 252.802 192.175i 1.90077 1.44493i
\(134\) −84.2349 + 23.3877i −0.628618 + 0.174535i
\(135\) 63.1806 26.8972i 0.468004 0.199238i
\(136\) −14.0429 85.6579i −0.103257 0.629837i
\(137\) 18.8635 + 85.6978i 0.137690 + 0.625531i 0.994029 + 0.109117i \(0.0348024\pi\)
−0.856339 + 0.516414i \(0.827267\pi\)
\(138\) 38.3514 + 35.7669i 0.277909 + 0.259180i
\(139\) −225.914 24.5696i −1.62528 0.176760i −0.750359 0.661030i \(-0.770119\pi\)
−0.874918 + 0.484271i \(0.839085\pi\)
\(140\) −48.9497 33.1887i −0.349641 0.237062i
\(141\) −21.9967 188.604i −0.156005 1.33761i
\(142\) −4.13262 76.2217i −0.0291030 0.536773i
\(143\) 62.6020 66.0881i 0.437776 0.462155i
\(144\) 9.09055 34.8333i 0.0631288 0.241898i
\(145\) −6.24125 + 115.113i −0.0430431 + 0.793884i
\(146\) −3.12192 + 14.1830i −0.0213830 + 0.0971440i
\(147\) 146.758 + 212.870i 0.998351 + 1.44809i
\(148\) 114.575 38.6050i 0.774158 0.260844i
\(149\) −16.5413 + 75.1480i −0.111016 + 0.504349i 0.887994 + 0.459855i \(0.152099\pi\)
−0.999010 + 0.0444941i \(0.985832\pi\)
\(150\) 17.4983 + 76.6523i 0.116655 + 0.511015i
\(151\) −125.574 + 118.950i −0.831618 + 0.787750i −0.979540 0.201249i \(-0.935500\pi\)
0.147922 + 0.988999i \(0.452741\pi\)
\(152\) 53.1246 56.0830i 0.349504 0.368967i
\(153\) −226.170 + 158.536i −1.47824 + 1.03618i
\(154\) −31.7873 + 193.894i −0.206411 + 1.25905i
\(155\) −33.3167 22.5893i −0.214946 0.145737i
\(156\) −7.74525 45.0475i −0.0496490 0.288766i
\(157\) −93.5913 + 56.3120i −0.596123 + 0.358675i −0.781418 0.624008i \(-0.785503\pi\)
0.185295 + 0.982683i \(0.440676\pi\)
\(158\) 25.3963 + 115.376i 0.160736 + 0.730231i
\(159\) 78.6822 + 166.657i 0.494857 + 1.04816i
\(160\) −13.0571 6.04085i −0.0816067 0.0377553i
\(161\) −138.477 + 38.4479i −0.860105 + 0.238807i
\(162\) −112.411 + 22.0380i −0.693898 + 0.136037i
\(163\) −271.661 + 29.5449i −1.66663 + 0.181257i −0.892275 0.451493i \(-0.850892\pi\)
−0.774356 + 0.632750i \(0.781926\pi\)
\(164\) 67.3793 + 35.7222i 0.410849 + 0.217819i
\(165\) −72.1489 + 55.7364i −0.437266 + 0.337797i
\(166\) 28.7086 103.399i 0.172943 0.622885i
\(167\) 54.9888 + 46.7079i 0.329274 + 0.279688i 0.796739 0.604324i \(-0.206557\pi\)
−0.467465 + 0.884012i \(0.654833\pi\)
\(168\) 68.4016 + 71.0955i 0.407152 + 0.423187i
\(169\) 62.2720 + 91.8443i 0.368473 + 0.543457i
\(170\) 46.3467 + 100.177i 0.272628 + 0.589276i
\(171\) −234.132 74.8555i −1.36919 0.437752i
\(172\) 17.9715 45.1050i 0.104485 0.262238i
\(173\) 116.437 153.170i 0.673046 0.885377i −0.325135 0.945668i \(-0.605410\pi\)
0.998181 + 0.0602909i \(0.0192028\pi\)
\(174\) 50.0073 185.698i 0.287398 1.06723i
\(175\) −204.190 68.7996i −1.16680 0.393141i
\(176\) 47.7973i 0.271576i
\(177\) 176.997 + 1.04318i 0.999983 + 0.00589368i
\(178\) −18.1688 −0.102072
\(179\) 8.68805 25.7852i 0.0485366 0.144052i −0.920644 0.390404i \(-0.872335\pi\)
0.969180 + 0.246352i \(0.0792320\pi\)
\(180\) 0.711737 + 45.7729i 0.00395409 + 0.254294i
\(181\) 244.952 + 186.208i 1.35333 + 1.02877i 0.995478 + 0.0949914i \(0.0302824\pi\)
0.357848 + 0.933780i \(0.383511\pi\)
\(182\) 116.367 + 46.3649i 0.639380 + 0.254752i
\(183\) −0.661129 + 0.991601i −0.00361272 + 0.00541859i
\(184\) −31.7297 + 14.6797i −0.172444 + 0.0797811i
\(185\) −127.253 + 86.2796i −0.687853 + 0.466376i
\(186\) 46.5563 + 48.3898i 0.250302 + 0.260160i
\(187\) 237.404 279.494i 1.26954 1.49462i
\(188\) 121.974 + 33.8659i 0.648797 + 0.180138i
\(189\) 109.364 294.261i 0.578645 1.55694i
\(190\) −46.0130 + 86.7897i −0.242173 + 0.456788i
\(191\) −21.1982 194.914i −0.110985 1.02049i −0.908697 0.417455i \(-0.862922\pi\)
0.797712 0.603038i \(-0.206043\pi\)
\(192\) 19.2186 + 14.3752i 0.100097 + 0.0748709i
\(193\) 11.8513 + 42.6844i 0.0614056 + 0.221163i 0.987886 0.155179i \(-0.0495955\pi\)
−0.926481 + 0.376342i \(0.877182\pi\)
\(194\) −64.9213 + 140.325i −0.334646 + 0.723325i
\(195\) 24.8150 + 52.5606i 0.127256 + 0.269541i
\(196\) −168.341 + 37.0546i −0.858881 + 0.189054i
\(197\) −40.9504 68.0601i −0.207870 0.345483i 0.735329 0.677710i \(-0.237027\pi\)
−0.943199 + 0.332227i \(0.892200\pi\)
\(198\) 137.024 65.9994i 0.692039 0.333330i
\(199\) 84.9586 125.305i 0.426928 0.629671i −0.552008 0.833839i \(-0.686138\pi\)
0.978936 + 0.204167i \(0.0654487\pi\)
\(200\) −51.7256 8.47999i −0.258628 0.0423999i
\(201\) −175.275 + 60.5785i −0.872017 + 0.301385i
\(202\) −188.118 178.194i −0.931275 0.882151i
\(203\) 362.441 + 382.625i 1.78542 + 1.88485i
\(204\) −40.9800 179.515i −0.200883 0.879977i
\(205\) −94.7105 20.8473i −0.462002 0.101694i
\(206\) 78.0366 + 231.604i 0.378818 + 1.12429i
\(207\) 85.8962 + 70.6916i 0.414957 + 0.341505i
\(208\) 29.7599 + 6.55065i 0.143077 + 0.0314935i
\(209\) 325.881 + 17.6687i 1.55924 + 0.0845394i
\(210\) −107.997 63.8414i −0.514271 0.304006i
\(211\) −169.534 160.591i −0.803480 0.761097i 0.171072 0.985259i \(-0.445277\pi\)
−0.974552 + 0.224162i \(0.928036\pi\)
\(212\) −122.684 + 6.65175i −0.578700 + 0.0313762i
\(213\) −18.7584 160.838i −0.0880677 0.755108i
\(214\) −7.83626 + 11.5576i −0.0366180 + 0.0540076i
\(215\) −6.67544 + 61.3797i −0.0310486 + 0.285487i
\(216\) 14.6730 74.9447i 0.0679308 0.346966i
\(217\) −179.720 + 39.5594i −0.828204 + 0.182302i
\(218\) −173.626 + 28.4645i −0.796448 + 0.130571i
\(219\) −4.74753 + 30.4390i −0.0216782 + 0.138991i
\(220\) −16.2604 58.5647i −0.0739110 0.266203i
\(221\) −141.484 186.119i −0.640200 0.842169i
\(222\) 237.516 96.7813i 1.06989 0.435952i
\(223\) −168.341 + 317.524i −0.754891 + 1.42388i 0.145755 + 0.989321i \(0.453439\pi\)
−0.900646 + 0.434554i \(0.856906\pi\)
\(224\) −61.1005 + 24.3447i −0.272770 + 0.108681i
\(225\) 47.1135 + 159.995i 0.209393 + 0.711087i
\(226\) 59.7183 70.3059i 0.264240 0.311088i
\(227\) 138.761 73.5664i 0.611282 0.324081i −0.133847 0.991002i \(-0.542733\pi\)
0.745129 + 0.666921i \(0.232388\pi\)
\(228\) 105.114 125.718i 0.461027 0.551393i
\(229\) −81.5575 + 37.7325i −0.356146 + 0.164771i −0.589801 0.807549i \(-0.700794\pi\)
0.233654 + 0.972320i \(0.424932\pi\)
\(230\) 33.8835 28.7809i 0.147320 0.125134i
\(231\) −41.8416 + 414.696i −0.181133 + 1.79522i
\(232\) 102.066 + 77.5889i 0.439942 + 0.334435i
\(233\) −18.3478 + 30.4942i −0.0787457 + 0.130876i −0.893728 0.448610i \(-0.851919\pi\)
0.814982 + 0.579486i \(0.196747\pi\)
\(234\) −22.3138 94.3600i −0.0953582 0.403248i
\(235\) −160.972 −0.684988
\(236\) −45.1704 + 109.012i −0.191400 + 0.461916i
\(237\) 68.9203 + 240.946i 0.290803 + 1.01665i
\(238\) 478.201 + 161.125i 2.00925 + 0.676995i
\(239\) 50.8565 84.5241i 0.212789 0.353657i −0.732018 0.681285i \(-0.761421\pi\)
0.944807 + 0.327627i \(0.106249\pi\)
\(240\) −28.4383 11.0755i −0.118493 0.0461478i
\(241\) −107.371 + 269.481i −0.445523 + 1.11818i 0.519140 + 0.854689i \(0.326252\pi\)
−0.964663 + 0.263488i \(0.915127\pi\)
\(242\) −23.4829 + 19.9465i −0.0970366 + 0.0824236i
\(243\) −235.110 + 61.4207i −0.967529 + 0.252760i
\(244\) −0.445878 0.657621i −0.00182737 0.00269517i
\(245\) 193.657 102.671i 0.790438 0.419064i
\(246\) 147.350 + 66.7855i 0.598982 + 0.271486i
\(247\) 55.6632 200.481i 0.225357 0.811663i
\(248\) −41.5869 + 16.5697i −0.167689 + 0.0668134i
\(249\) 47.2060 222.691i 0.189583 0.894343i
\(250\) 155.653 16.9283i 0.622612 0.0677131i
\(251\) 208.409 + 274.158i 0.830316 + 1.09226i 0.994386 + 0.105813i \(0.0337446\pi\)
−0.164070 + 0.986449i \(0.552462\pi\)
\(252\) 154.159 + 141.545i 0.611742 + 0.561687i
\(253\) −134.049 62.0178i −0.529839 0.245130i
\(254\) −38.3060 + 6.27995i −0.150811 + 0.0247242i
\(255\) 111.282 + 206.014i 0.436400 + 0.807898i
\(256\) −13.7097 + 8.24886i −0.0535536 + 0.0322221i
\(257\) −18.5085 + 170.183i −0.0720174 + 0.662189i 0.901374 + 0.433041i \(0.142560\pi\)
−0.973392 + 0.229148i \(0.926406\pi\)
\(258\) 32.1274 97.8585i 0.124525 0.379297i
\(259\) −113.712 + 693.614i −0.439043 + 2.67805i
\(260\) −38.6925 + 2.09785i −0.148817 + 0.00806864i
\(261\) 81.4941 399.737i 0.312238 1.53156i
\(262\) 109.169 103.410i 0.416676 0.394696i
\(263\) −43.3022 2.34778i −0.164647 0.00892691i −0.0283690 0.999598i \(-0.509031\pi\)
−0.136278 + 0.990671i \(0.543514\pi\)
\(264\) 6.27624 + 101.199i 0.0237736 + 0.383330i
\(265\) 148.059 49.8868i 0.558713 0.188252i
\(266\) 143.395 + 425.580i 0.539078 + 1.59993i
\(267\) −38.4678 + 2.38573i −0.144074 + 0.00893531i
\(268\) 6.69333 123.451i 0.0249751 0.460639i
\(269\) −149.501 157.826i −0.555765 0.586714i 0.386204 0.922413i \(-0.373786\pi\)
−0.941969 + 0.335699i \(0.891027\pi\)
\(270\) 7.51733 + 96.8193i 0.0278420 + 0.358590i
\(271\) −7.12954 131.497i −0.0263083 0.485227i −0.981765 0.190097i \(-0.939120\pi\)
0.955457 0.295130i \(-0.0953630\pi\)
\(272\) 121.139 + 19.8597i 0.445362 + 0.0730134i
\(273\) 252.467 + 82.8862i 0.924787 + 0.303612i
\(274\) −123.369 13.4172i −0.450251 0.0489678i
\(275\) −114.166 189.746i −0.415150 0.689985i
\(276\) −65.2522 + 35.2471i −0.236421 + 0.127707i
\(277\) 20.5877 + 125.580i 0.0743240 + 0.453356i 0.997601 + 0.0692222i \(0.0220517\pi\)
−0.923277 + 0.384134i \(0.874500\pi\)
\(278\) 134.941 291.671i 0.485401 1.04918i
\(279\) 104.925 + 96.3401i 0.376077 + 0.345305i
\(280\) 66.5828 50.6149i 0.237796 0.180767i
\(281\) 20.9577 + 192.703i 0.0745826 + 0.685776i 0.970425 + 0.241404i \(0.0776077\pi\)
−0.895842 + 0.444372i \(0.853427\pi\)
\(282\) 262.696 + 55.6863i 0.931547 + 0.197469i
\(283\) 139.817 + 350.914i 0.494053 + 1.23998i 0.938843 + 0.344345i \(0.111899\pi\)
−0.444790 + 0.895635i \(0.646722\pi\)
\(284\) 104.017 + 28.8802i 0.366258 + 0.101691i
\(285\) −86.0248 + 189.798i −0.301841 + 0.665956i
\(286\) 60.3017 + 113.741i 0.210845 + 0.397696i
\(287\) −366.958 + 248.803i −1.27860 + 0.866911i
\(288\) 42.5782 + 27.9124i 0.147841 + 0.0969180i
\(289\) −422.620 497.546i −1.46235 1.72161i
\(290\) −151.454 60.3450i −0.522257 0.208086i
\(291\) −119.029 + 305.628i −0.409033 + 1.05027i
\(292\) −17.5981 10.5884i −0.0602676 0.0362618i
\(293\) 59.6485 177.030i 0.203578 0.604199i −0.796421 0.604742i \(-0.793276\pi\)
1.00000 0.000542826i \(0.000172787\pi\)
\(294\) −351.554 + 100.559i −1.19576 + 0.342036i
\(295\) 18.2607 148.936i 0.0619006 0.504868i
\(296\) 170.985i 0.577651i
\(297\) 281.448 157.730i 0.947635 0.531077i
\(298\) −93.2428 56.1023i −0.312895 0.188263i
\(299\) −56.9855 + 74.9632i −0.190587 + 0.250713i
\(300\) −110.630 11.1622i −0.368766 0.0372074i
\(301\) 182.734 + 215.131i 0.607088 + 0.714719i
\(302\) −102.711 222.006i −0.340102 0.735119i
\(303\) −421.691 352.581i −1.39172 1.16363i
\(304\) 51.1725 + 96.5217i 0.168331 + 0.317505i
\(305\) 0.770041 + 0.654079i 0.00252473 + 0.00214452i
\(306\) −110.337 374.698i −0.360579 1.22450i
\(307\) −179.236 449.848i −0.583829 1.46530i −0.863072 0.505081i \(-0.831463\pi\)
0.279243 0.960221i \(-0.409917\pi\)
\(308\) −245.500 130.156i −0.797077 0.422583i
\(309\) 195.635 + 480.118i 0.633123 + 1.55378i
\(310\) 45.3183 34.4501i 0.146188 0.111129i
\(311\) 177.128 49.1794i 0.569544 0.158133i 0.0291944 0.999574i \(-0.490706\pi\)
0.540350 + 0.841441i \(0.318292\pi\)
\(312\) 63.8694 + 9.96163i 0.204710 + 0.0319283i
\(313\) 26.0231 + 158.734i 0.0831407 + 0.507136i 0.995263 + 0.0972180i \(0.0309944\pi\)
−0.912122 + 0.409918i \(0.865557\pi\)
\(314\) −33.2063 150.858i −0.105753 0.480439i
\(315\) −237.040 120.987i −0.752507 0.384087i
\(316\) −166.094 18.0638i −0.525613 0.0571638i
\(317\) 142.418 + 96.5621i 0.449269 + 0.304612i 0.764759 0.644317i \(-0.222858\pi\)
−0.315489 + 0.948929i \(0.602169\pi\)
\(318\) −258.880 + 30.1931i −0.814089 + 0.0949467i
\(319\) 29.3243 + 540.854i 0.0919256 + 1.69547i
\(320\) 13.9919 14.7711i 0.0437247 0.0461596i
\(321\) −15.0737 + 25.4994i −0.0469586 + 0.0794373i
\(322\) 11.0034 202.946i 0.0341721 0.630267i
\(323\) 180.182 818.577i 0.557840 2.53429i
\(324\) 21.2256 160.603i 0.0655111 0.495690i
\(325\) −133.787 + 45.0783i −0.411654 + 0.138702i
\(326\) 83.0757 377.417i 0.254834 1.15772i
\(327\) −363.872 + 83.0651i −1.11276 + 0.254022i
\(328\) −78.3002 + 74.1699i −0.238720 + 0.226128i
\(329\) −506.088 + 534.271i −1.53826 + 1.62392i
\(330\) −42.1175 121.861i −0.127629 0.369276i
\(331\) 78.6744 479.893i 0.237687 1.44983i −0.550728 0.834685i \(-0.685650\pi\)
0.788416 0.615143i \(-0.210902\pi\)
\(332\) 125.610 + 85.1656i 0.378343 + 0.256523i
\(333\) 490.173 236.098i 1.47199 0.709004i
\(334\) −87.4279 + 52.6036i −0.261760 + 0.157496i
\(335\) 33.7963 + 153.538i 0.100885 + 0.458323i
\(336\) −126.168 + 59.5668i −0.375501 + 0.177282i
\(337\) −289.438 133.908i −0.858867 0.397354i −0.0595221 0.998227i \(-0.518958\pi\)
−0.799345 + 0.600873i \(0.794820\pi\)
\(338\) −151.208 + 41.9826i −0.447360 + 0.124209i
\(339\) 117.207 156.697i 0.345743 0.462233i
\(340\) −155.184 + 16.8773i −0.456423 + 0.0496390i
\(341\) −167.095 88.5880i −0.490014 0.259789i
\(342\) 206.045 279.978i 0.602471 0.818650i
\(343\) 115.666 416.592i 0.337219 1.21455i
\(344\) 52.3338 + 44.4527i 0.152133 + 0.129223i
\(345\) 67.9608 65.3857i 0.196988 0.189524i
\(346\) 152.698 + 225.213i 0.441323 + 0.650903i
\(347\) 239.953 + 518.649i 0.691506 + 1.49467i 0.860716 + 0.509086i \(0.170016\pi\)
−0.169210 + 0.985580i \(0.554122\pi\)
\(348\) 226.289 + 150.873i 0.650254 + 0.433543i
\(349\) 117.876 295.846i 0.337753 0.847696i −0.657774 0.753216i \(-0.728502\pi\)
0.995527 0.0944805i \(-0.0301190\pi\)
\(350\) 184.408 242.585i 0.526881 0.693100i
\(351\) −59.6343 196.854i −0.169898 0.560837i
\(352\) −64.0572 21.5834i −0.181981 0.0613164i
\(353\) 320.070i 0.906715i −0.891329 0.453358i \(-0.850226\pi\)
0.891329 0.453358i \(-0.149774\pi\)
\(354\) −81.3229 + 236.737i −0.229726 + 0.668750i
\(355\) −137.274 −0.386688
\(356\) 8.20429 24.3495i 0.0230458 0.0683974i
\(357\) 1033.63 + 278.349i 2.89532 + 0.779690i
\(358\) 30.6338 + 23.2872i 0.0855692 + 0.0650480i
\(359\) −257.968 102.784i −0.718573 0.286306i −0.0179518 0.999839i \(-0.505715\pi\)
−0.700622 + 0.713533i \(0.747094\pi\)
\(360\) −61.6655 19.7154i −0.171293 0.0547649i
\(361\) 349.363 161.633i 0.967765 0.447736i
\(362\) −360.163 + 244.197i −0.994926 + 0.674576i
\(363\) −47.1000 + 45.3153i −0.129752 + 0.124836i
\(364\) −114.684 + 135.017i −0.315067 + 0.370926i
\(365\) 25.1646 + 6.98693i 0.0689442 + 0.0191423i
\(366\) −1.03039 1.33380i −0.00281527 0.00364427i
\(367\) −205.996 + 388.550i −0.561298 + 1.05872i 0.426721 + 0.904383i \(0.359669\pi\)
−0.988018 + 0.154336i \(0.950676\pi\)
\(368\) −5.34565 49.1524i −0.0145262 0.133566i
\(369\) 320.746 + 122.053i 0.869230 + 0.330768i
\(370\) −58.1681 209.503i −0.157211 0.566223i
\(371\) 299.914 648.253i 0.808392 1.74731i
\(372\) −85.8742 + 40.5430i −0.230845 + 0.108987i
\(373\) 15.0609 3.31516i 0.0403778 0.00888783i −0.194736 0.980856i \(-0.562385\pi\)
0.235113 + 0.971968i \(0.424454\pi\)
\(374\) 267.371 + 444.374i 0.714895 + 1.18817i
\(375\) 327.334 56.2801i 0.872890 0.150080i
\(376\) −100.465 + 148.175i −0.267194 + 0.394082i
\(377\) 340.770 + 55.8663i 0.903898 + 0.148187i
\(378\) 344.980 + 279.444i 0.912645 + 0.739271i
\(379\) −427.599 405.043i −1.12823 1.06871i −0.997003 0.0773620i \(-0.975350\pi\)
−0.131225 0.991353i \(-0.541891\pi\)
\(380\) −95.5365 100.857i −0.251412 0.265412i
\(381\) −80.2789 + 18.3262i −0.210706 + 0.0481002i
\(382\) 270.793 + 59.6061i 0.708883 + 0.156037i
\(383\) −144.740 429.574i −0.377912 1.12160i −0.952859 0.303412i \(-0.901874\pi\)
0.574947 0.818190i \(-0.305022\pi\)
\(384\) −27.9438 + 19.2651i −0.0727702 + 0.0501696i
\(385\) 345.082 + 75.9583i 0.896317 + 0.197294i
\(386\) −62.5566 3.39172i −0.162064 0.00878684i
\(387\) 55.1722 211.410i 0.142564 0.546279i
\(388\) −158.745 150.372i −0.409138 0.387556i
\(389\) −498.824 + 27.0454i −1.28232 + 0.0695255i −0.682665 0.730731i \(-0.739179\pi\)
−0.599658 + 0.800257i \(0.704697\pi\)
\(390\) −81.6463 + 9.52236i −0.209350 + 0.0244163i
\(391\) −212.876 + 313.969i −0.544440 + 0.802990i
\(392\) 26.3561 242.340i 0.0672348 0.618214i
\(393\) 217.560 233.281i 0.553587 0.593590i
\(394\) 109.705 24.1478i 0.278438 0.0612889i
\(395\) 209.655 34.3712i 0.530772 0.0870157i
\(396\) 26.5768 + 213.440i 0.0671130 + 0.538989i
\(397\) −77.8455 280.374i −0.196084 0.706233i −0.994556 0.104200i \(-0.966772\pi\)
0.798472 0.602032i \(-0.205642\pi\)
\(398\) 129.567 + 170.443i 0.325546 + 0.428248i
\(399\) 359.485 + 882.232i 0.900966 + 2.21111i
\(400\) 34.7220 65.4926i 0.0868050 0.163732i
\(401\) 309.840 123.451i 0.772667 0.307859i 0.0497211 0.998763i \(-0.484167\pi\)
0.722946 + 0.690904i \(0.242787\pi\)
\(402\) −2.03883 262.256i −0.00507172 0.652379i
\(403\) −78.0577 + 91.8967i −0.193692 + 0.228031i
\(404\) 323.760 171.647i 0.801386 0.424868i
\(405\) 28.6294 + 204.004i 0.0706898 + 0.503713i
\(406\) −676.451 + 312.960i −1.66614 + 0.770837i
\(407\) −550.558 + 467.648i −1.35272 + 1.14901i
\(408\) 259.089 + 26.1413i 0.635021 + 0.0640718i
\(409\) −238.403 181.229i −0.582892 0.443103i 0.271716 0.962378i \(-0.412409\pi\)
−0.854607 + 0.519275i \(0.826202\pi\)
\(410\) 70.7068 117.516i 0.172456 0.286623i
\(411\) −262.965 12.2080i −0.639817 0.0297033i
\(412\) −345.631 −0.838909
\(413\) −436.912 528.855i −1.05790 1.28052i
\(414\) −133.527 + 83.1952i −0.322529 + 0.200955i
\(415\) −182.879 61.6192i −0.440673 0.148480i
\(416\) −22.2175 + 36.9258i −0.0534074 + 0.0887638i
\(417\) 247.406 635.260i 0.593299 1.52341i
\(418\) −170.834 + 428.762i −0.408694 + 1.02575i
\(419\) 95.9909 81.5354i 0.229095 0.194595i −0.525485 0.850803i \(-0.676116\pi\)
0.754581 + 0.656207i \(0.227840\pi\)
\(420\) 134.326 115.907i 0.319825 0.275970i
\(421\) 148.250 + 218.652i 0.352138 + 0.519365i 0.961966 0.273169i \(-0.0880719\pi\)
−0.609828 + 0.792534i \(0.708762\pi\)
\(422\) 291.777 154.690i 0.691415 0.366565i
\(423\) 563.507 + 83.4075i 1.33217 + 0.197181i
\(424\) 46.4849 167.423i 0.109634 0.394866i
\(425\) −528.331 + 210.506i −1.24313 + 0.495309i
\(426\) 224.023 + 47.4883i 0.525876 + 0.111475i
\(427\) 4.59187 0.499396i 0.0107538 0.00116955i
\(428\) −11.9508 15.7210i −0.0279224 0.0367313i
\(429\) 142.609 + 232.900i 0.332422 + 0.542891i
\(430\) −79.2457 36.6630i −0.184292 0.0852627i
\(431\) 29.9950 4.91743i 0.0695939 0.0114093i −0.126884 0.991918i \(-0.540498\pi\)
0.196478 + 0.980508i \(0.437049\pi\)
\(432\) 93.8139 + 53.5066i 0.217162 + 0.123858i
\(433\) 178.808 107.585i 0.412951 0.248464i −0.293887 0.955840i \(-0.594949\pi\)
0.706837 + 0.707376i \(0.250121\pi\)
\(434\) 28.1377 258.722i 0.0648334 0.596133i
\(435\) −328.591 107.878i −0.755382 0.247996i
\(436\) 40.2548 245.544i 0.0923276 0.563174i
\(437\) −337.096 + 18.2768i −0.771386 + 0.0418233i
\(438\) −38.6500 20.1076i −0.0882421 0.0459078i
\(439\) 111.914 106.011i 0.254929 0.241482i −0.549552 0.835459i \(-0.685202\pi\)
0.804482 + 0.593977i \(0.202443\pi\)
\(440\) 85.8301 + 4.65357i 0.195068 + 0.0105763i
\(441\) −731.125 + 259.070i −1.65788 + 0.587461i
\(442\) 313.323 105.571i 0.708875 0.238848i
\(443\) −79.8262 236.916i −0.180195 0.534799i 0.819047 0.573726i \(-0.194503\pi\)
−0.999242 + 0.0389271i \(0.987606\pi\)
\(444\) 22.4519 + 362.018i 0.0505673 + 0.815355i
\(445\) −1.76892 + 32.6258i −0.00397510 + 0.0733164i
\(446\) −349.525 368.989i −0.783688 0.827329i
\(447\) −204.785 106.539i −0.458132 0.238342i
\(448\) −5.03575 92.8790i −0.0112405 0.207319i
\(449\) −544.840 89.3221i −1.21345 0.198936i −0.479135 0.877741i \(-0.659050\pi\)
−0.734318 + 0.678806i \(0.762498\pi\)
\(450\) −235.697 9.10651i −0.523771 0.0202367i
\(451\) −452.975 49.2640i −1.00438 0.109233i
\(452\) 67.2564 + 111.781i 0.148797 + 0.247303i
\(453\) −246.616 456.556i −0.544407 1.00785i
\(454\) 35.9335 + 219.185i 0.0791488 + 0.482786i
\(455\) 94.5875 204.447i 0.207885 0.449335i
\(456\) 121.019 + 197.641i 0.265393 + 0.433424i
\(457\) 257.985 196.115i 0.564519 0.429136i −0.283600 0.958943i \(-0.591529\pi\)
0.848118 + 0.529807i \(0.177736\pi\)
\(458\) −13.7404 126.341i −0.0300008 0.275853i
\(459\) −282.813 778.843i −0.616150 1.69682i
\(460\) 23.2713 + 58.4065i 0.0505897 + 0.126971i
\(461\) 334.497 + 92.8727i 0.725591 + 0.201459i 0.610636 0.791911i \(-0.290914\pi\)
0.114955 + 0.993371i \(0.463328\pi\)
\(462\) −536.875 243.336i −1.16207 0.526701i
\(463\) 331.010 + 624.352i 0.714925 + 1.34849i 0.928414 + 0.371546i \(0.121172\pi\)
−0.213489 + 0.976945i \(0.568483\pi\)
\(464\) −150.073 + 101.752i −0.323432 + 0.219293i
\(465\) 91.4266 78.8902i 0.196616 0.169656i
\(466\) −32.5827 38.3593i −0.0699200 0.0823162i
\(467\) 167.551 + 66.7584i 0.358781 + 0.142952i 0.542562 0.840016i \(-0.317454\pi\)
−0.183781 + 0.982967i \(0.558834\pi\)
\(468\) 136.536 + 12.7046i 0.291743 + 0.0271467i
\(469\) 615.851 + 370.545i 1.31312 + 0.790076i
\(470\) 72.6887 215.732i 0.154657 0.459005i
\(471\) −90.1152 315.044i −0.191327 0.668883i
\(472\) −125.699 109.762i −0.266312 0.232547i
\(473\) 290.091i 0.613299i
\(474\) −354.034 16.4359i −0.746907 0.0346749i
\(475\) −433.691 260.943i −0.913035 0.549355i
\(476\) −431.874 + 568.120i −0.907297 + 1.19353i
\(477\) −544.150 + 97.9197i −1.14078 + 0.205282i
\(478\) 90.3131 + 106.325i 0.188940 + 0.222437i
\(479\) −87.3956 188.903i −0.182454 0.394369i 0.794669 0.607043i \(-0.207645\pi\)
−0.977123 + 0.212675i \(0.931783\pi\)
\(480\) 27.6848 33.1114i 0.0576767 0.0689820i
\(481\) 215.716 + 406.884i 0.448474 + 0.845913i
\(482\) −312.669 265.584i −0.648691 0.551003i
\(483\) −3.35171 431.133i −0.00693935 0.892614i
\(484\) −16.1281 40.4784i −0.0333225 0.0836331i
\(485\) 245.662 + 130.242i 0.506520 + 0.268540i
\(486\) 23.8512 342.825i 0.0490766 0.705402i
\(487\) 242.392 184.262i 0.497726 0.378361i −0.325982 0.945376i \(-0.605695\pi\)
0.823708 + 0.567015i \(0.191902\pi\)
\(488\) 1.08267 0.300603i 0.00221859 0.000615990i
\(489\) 126.334 809.995i 0.258352 1.65643i
\(490\) 50.1495 + 305.899i 0.102346 + 0.624283i
\(491\) 25.4703 + 115.713i 0.0518744 + 0.235668i 0.995423 0.0955661i \(-0.0304661\pi\)
−0.943549 + 0.331234i \(0.892535\pi\)
\(492\) −156.042 + 167.318i −0.317159 + 0.340077i
\(493\) 1382.94 + 150.403i 2.80514 + 0.305078i
\(494\) 243.546 + 165.128i 0.493008 + 0.334267i
\(495\) −105.175 252.480i −0.212475 0.510061i
\(496\) −3.42749 63.2163i −0.00691026 0.127452i
\(497\) −431.583 + 455.617i −0.868377 + 0.916734i
\(498\) 277.131 + 163.823i 0.556488 + 0.328963i
\(499\) −34.2518 + 631.737i −0.0686409 + 1.26601i 0.737933 + 0.674874i \(0.235802\pi\)
−0.806574 + 0.591133i \(0.798681\pi\)
\(500\) −47.5997 + 216.248i −0.0951995 + 0.432496i
\(501\) −178.200 + 122.855i −0.355688 + 0.245220i
\(502\) −461.531 + 155.508i −0.919385 + 0.309777i
\(503\) 138.253 628.089i 0.274856 1.24869i −0.613561 0.789648i \(-0.710263\pi\)
0.888417 0.459037i \(-0.151806\pi\)
\(504\) −259.309 + 142.685i −0.514502 + 0.283105i
\(505\) −338.301 + 320.455i −0.669902 + 0.634565i
\(506\) 143.647 151.646i 0.283887 0.299695i
\(507\) −314.632 + 108.743i −0.620577 + 0.214483i
\(508\) 8.88120 54.1729i 0.0174827 0.106640i
\(509\) −156.508 106.115i −0.307482 0.208478i 0.397680 0.917524i \(-0.369815\pi\)
−0.705162 + 0.709046i \(0.749126\pi\)
\(510\) −326.347 + 56.1105i −0.639896 + 0.110021i
\(511\) 102.306 61.5555i 0.200208 0.120461i
\(512\) −4.86423 22.0984i −0.00950044 0.0431609i
\(513\) 399.486 619.841i 0.778724 1.20827i
\(514\) −219.718 101.653i −0.427468 0.197768i
\(515\) 423.491 117.582i 0.822313 0.228314i
\(516\) 116.641 + 87.2457i 0.226048 + 0.169081i
\(517\) −751.887 + 81.7727i −1.45433 + 0.158168i
\(518\) −878.222 465.604i −1.69541 0.898849i
\(519\) 352.872 + 456.781i 0.679908 + 0.880118i
\(520\) 14.6605 52.8024i 0.0281933 0.101543i
\(521\) −110.937 94.2306i −0.212931 0.180865i 0.534574 0.845122i \(-0.320472\pi\)
−0.747504 + 0.664257i \(0.768748\pi\)
\(522\) 498.921 + 289.722i 0.955787 + 0.555024i
\(523\) −224.457 331.049i −0.429172 0.632982i 0.550203 0.835031i \(-0.314550\pi\)
−0.979375 + 0.202049i \(0.935240\pi\)
\(524\) 89.2925 + 193.003i 0.170406 + 0.368326i
\(525\) 358.585 537.828i 0.683019 1.02443i
\(526\) 22.7000 56.9728i 0.0431560 0.108313i
\(527\) −293.947 + 386.680i −0.557773 + 0.733738i
\(528\) −138.459 37.2862i −0.262234 0.0706177i
\(529\) −356.523 120.127i −0.673956 0.227082i
\(530\) 220.953i 0.416892i
\(531\) −141.095 + 511.911i −0.265716 + 0.964051i
\(532\) −635.107 −1.19381
\(533\) −92.7536 + 275.283i −0.174022 + 0.516478i
\(534\) 14.1732 52.6313i 0.0265417 0.0985605i
\(535\) 19.9912 + 15.1969i 0.0373667 + 0.0284054i
\(536\) 162.425 + 64.7160i 0.303031 + 0.120739i
\(537\) 67.9172 + 45.2823i 0.126475 + 0.0843246i
\(538\) 279.025 129.091i 0.518633 0.239945i
\(539\) 852.402 577.943i 1.58145 1.07225i
\(540\) −133.150 33.6452i −0.246574 0.0623058i
\(541\) −313.910 + 369.564i −0.580241 + 0.683113i −0.971465 0.237183i \(-0.923776\pi\)
0.391224 + 0.920296i \(0.372052\pi\)
\(542\) 179.449 + 49.8238i 0.331087 + 0.0919258i
\(543\) −730.491 + 564.319i −1.34529 + 1.03926i
\(544\) −81.3170 + 153.380i −0.149480 + 0.281949i
\(545\) 34.2096 + 314.552i 0.0627699 + 0.577160i
\(546\) −225.087 + 300.924i −0.412247 + 0.551143i
\(547\) 100.227 + 360.986i 0.183231 + 0.659938i 0.996905 + 0.0786167i \(0.0250503\pi\)
−0.813674 + 0.581321i \(0.802536\pi\)
\(548\) 73.6900 159.278i 0.134471 0.290654i
\(549\) −2.35673 2.68870i −0.00429277 0.00489744i
\(550\) 305.847 67.3221i 0.556086 0.122404i
\(551\) 638.264 + 1060.80i 1.15837 + 1.92523i
\(552\) −17.7723 103.366i −0.0321961 0.187257i
\(553\) 545.066 803.912i 0.985652 1.45373i
\(554\) −177.597 29.1155i −0.320571 0.0525550i
\(555\) −150.666 435.932i −0.271471 0.785463i
\(556\) 329.959 + 312.553i 0.593451 + 0.562146i
\(557\) 617.817 + 652.221i 1.10919 + 1.17095i 0.983879 + 0.178836i \(0.0572332\pi\)
0.125308 + 0.992118i \(0.460008\pi\)
\(558\) −176.494 + 97.1159i −0.316297 + 0.174043i
\(559\) 180.618 + 39.7571i 0.323110 + 0.0711218i
\(560\) 37.7671 + 112.089i 0.0674413 + 0.200159i
\(561\) 624.442 + 905.743i 1.11309 + 1.61452i
\(562\) −267.721 58.9299i −0.476372 0.104857i
\(563\) 700.240 + 37.9659i 1.24377 + 0.0674350i 0.664240 0.747519i \(-0.268755\pi\)
0.579525 + 0.814954i \(0.303238\pi\)
\(564\) −193.253 + 326.916i −0.342647 + 0.579638i
\(565\) −120.435 114.082i −0.213159 0.201915i
\(566\) −533.425 + 28.9215i −0.942448 + 0.0510980i
\(567\) 767.103 + 546.355i 1.35291 + 0.963590i
\(568\) −85.6749 + 126.361i −0.150836 + 0.222467i
\(569\) 12.8095 117.782i 0.0225123 0.206997i −0.977480 0.211030i \(-0.932318\pi\)
0.999992 + 0.00403275i \(0.00128367\pi\)
\(570\) −215.518 200.994i −0.378102 0.352621i
\(571\) 622.801 137.089i 1.09072 0.240086i 0.367029 0.930210i \(-0.380375\pi\)
0.723691 + 0.690124i \(0.242444\pi\)
\(572\) −179.664 + 29.4544i −0.314097 + 0.0514937i
\(573\) 581.165 + 90.6435i 1.01425 + 0.158191i
\(574\) −167.739 604.141i −0.292228 1.05251i
\(575\) 138.624 + 182.357i 0.241085 + 0.317142i
\(576\) −56.6343 + 44.4584i −0.0983235 + 0.0771848i
\(577\) 208.560 393.385i 0.361455 0.681777i −0.634373 0.773027i \(-0.718742\pi\)
0.995828 + 0.0912504i \(0.0290863\pi\)
\(578\) 857.642 341.716i 1.48381 0.591204i
\(579\) −132.893 + 1.03314i −0.229522 + 0.00178435i
\(580\) 149.264 175.727i 0.257352 0.302978i
\(581\) −779.478 + 413.253i −1.34161 + 0.711279i
\(582\) −355.849 297.530i −0.611425 0.511220i
\(583\) 666.228 308.230i 1.14276 0.528696i
\(584\) 22.1371 18.8034i 0.0379060 0.0321976i
\(585\) −171.615 + 30.8822i −0.293360 + 0.0527900i
\(586\) 210.318 + 159.880i 0.358905 + 0.272833i
\(587\) 145.972 242.607i 0.248674 0.413300i −0.707228 0.706986i \(-0.750054\pi\)
0.955902 + 0.293686i \(0.0948820\pi\)
\(588\) 23.9809 516.556i 0.0407839 0.878496i
\(589\) −432.274 −0.733911
\(590\) 191.356 + 91.7264i 0.324332 + 0.155468i
\(591\) 229.102 65.5323i 0.387651 0.110884i
\(592\) −229.151 77.2099i −0.387079 0.130422i
\(593\) −219.003 + 363.986i −0.369314 + 0.613805i −0.984666 0.174447i \(-0.944186\pi\)
0.615353 + 0.788252i \(0.289014\pi\)
\(594\) 84.2963 + 448.416i 0.141913 + 0.754909i
\(595\) 335.891 843.023i 0.564523 1.41684i
\(596\) 117.292 99.6289i 0.196799 0.167163i
\(597\) 296.707 + 343.857i 0.496997 + 0.575975i
\(598\) −74.7320 110.221i −0.124970 0.184317i
\(599\) 135.368 71.7674i 0.225990 0.119812i −0.351567 0.936163i \(-0.614351\pi\)
0.577557 + 0.816351i \(0.304006\pi\)
\(600\) 64.9155 143.224i 0.108192 0.238706i
\(601\) −208.195 + 749.852i −0.346415 + 1.24767i 0.561133 + 0.827725i \(0.310365\pi\)
−0.907548 + 0.419948i \(0.862048\pi\)
\(602\) −370.830 + 147.752i −0.615996 + 0.245435i
\(603\) −38.7534 554.995i −0.0642677 0.920390i
\(604\) 343.909 37.4024i 0.569386 0.0619244i
\(605\) 33.5318 + 44.1103i 0.0554245 + 0.0729097i
\(606\) 662.943 405.932i 1.09396 0.669855i
\(607\) 620.781 + 287.204i 1.02270 + 0.473153i 0.858250 0.513232i \(-0.171552\pi\)
0.164453 + 0.986385i \(0.447414\pi\)
\(608\) −152.464 + 24.9953i −0.250764 + 0.0411106i
\(609\) −1391.12 + 751.439i −2.28428 + 1.23389i
\(610\) −1.22431 + 0.736641i −0.00200706 + 0.00120761i
\(611\) −52.1327 + 479.353i −0.0853236 + 0.784538i
\(612\) 551.989 + 21.3269i 0.901942 + 0.0348479i
\(613\) −65.2860 + 398.227i −0.106502 + 0.649636i 0.878586 + 0.477585i \(0.158488\pi\)
−0.985088 + 0.172051i \(0.944961\pi\)
\(614\) 683.814 37.0753i 1.11370 0.0603833i
\(615\) 134.273 258.095i 0.218330 0.419666i
\(616\) 285.291 270.242i 0.463134 0.438704i
\(617\) −208.124 11.2841i −0.337315 0.0182887i −0.115297 0.993331i \(-0.536782\pi\)
−0.222019 + 0.975042i \(0.571265\pi\)
\(618\) −731.787 + 45.3845i −1.18412 + 0.0734377i
\(619\) −375.992 + 126.687i −0.607419 + 0.204663i −0.606169 0.795336i \(-0.707294\pi\)
−0.00125015 + 0.999999i \(0.500398\pi\)
\(620\) 25.7055 + 76.2911i 0.0414604 + 0.123050i
\(621\) −271.786 + 193.679i −0.437659 + 0.311882i
\(622\) −14.0747 + 259.592i −0.0226281 + 0.417350i
\(623\) 102.724 + 108.445i 0.164887 + 0.174069i
\(624\) −42.1913 + 81.0985i −0.0676143 + 0.129966i
\(625\) 9.83862 + 181.463i 0.0157418 + 0.290340i
\(626\) −224.483 36.8022i −0.358599 0.0587894i
\(627\) −305.399 + 930.229i −0.487079 + 1.48362i
\(628\) 217.172 + 23.6189i 0.345815 + 0.0376097i
\(629\) 956.462 + 1589.65i 1.52061 + 2.52727i
\(630\) 269.183 263.044i 0.427275 0.417530i
\(631\) 0.00638122 + 0.0389237i 1.01129e−5 + 6.16857e-5i 0.986832 0.161751i \(-0.0517142\pi\)
−0.986821 + 0.161813i \(0.948266\pi\)
\(632\) 99.2101 214.439i 0.156978 0.339302i
\(633\) 597.453 365.832i 0.943844 0.577933i
\(634\) −193.721 + 147.263i −0.305554 + 0.232276i
\(635\) 7.54747 + 69.3979i 0.0118858 + 0.109288i
\(636\) 76.4359 360.581i 0.120182 0.566952i
\(637\) −243.021 609.936i −0.381508 0.957513i
\(638\) −738.086 204.929i −1.15687 0.321205i
\(639\) 480.549 + 71.1285i 0.752033 + 0.111312i
\(640\) 13.4778 + 25.4218i 0.0210590 + 0.0397215i
\(641\) −228.423 + 154.875i −0.356354 + 0.241614i −0.726207 0.687476i \(-0.758718\pi\)
0.369853 + 0.929090i \(0.379408\pi\)
\(642\) −27.3672 31.7161i −0.0426280 0.0494020i
\(643\) 189.895 + 223.562i 0.295327 + 0.347686i 0.889735 0.456478i \(-0.150889\pi\)
−0.594408 + 0.804164i \(0.702613\pi\)
\(644\) 267.016 + 106.389i 0.414621 + 0.165200i
\(645\) −172.597 67.2191i −0.267593 0.104216i
\(646\) 1015.68 + 611.115i 1.57226 + 0.945998i
\(647\) 203.200 603.075i 0.314065 0.932110i −0.668098 0.744074i \(-0.732891\pi\)
0.982162 0.188037i \(-0.0602123\pi\)
\(648\) 205.654 + 100.968i 0.317367 + 0.155815i
\(649\) 9.63560 704.945i 0.0148468 1.08620i
\(650\) 199.655i 0.307162i
\(651\) 25.6020 551.474i 0.0393272 0.847118i
\(652\) 468.294 + 281.763i 0.718243 + 0.432152i
\(653\) 354.436 466.252i 0.542780 0.714015i −0.440164 0.897917i \(-0.645080\pi\)
0.982945 + 0.183902i \(0.0588729\pi\)
\(654\) 52.9875 525.164i 0.0810206 0.803003i
\(655\) −175.066 206.104i −0.267276 0.314662i
\(656\) −64.0440 138.429i −0.0976281 0.211020i
\(657\) −84.4722 37.4978i −0.128573 0.0570742i
\(658\) −487.491 919.506i −0.740868 1.39743i
\(659\) −703.633 597.671i −1.06773 0.906936i −0.0718299 0.997417i \(-0.522884\pi\)
−0.995898 + 0.0904805i \(0.971160\pi\)
\(660\) 182.335 1.41751i 0.276265 0.00214774i
\(661\) −155.246 389.638i −0.234865 0.589468i 0.763549 0.645749i \(-0.223455\pi\)
−0.998415 + 0.0562814i \(0.982076\pi\)
\(662\) 607.618 + 322.139i 0.917853 + 0.486615i
\(663\) 649.521 264.662i 0.979669 0.399189i
\(664\) −170.858 + 129.883i −0.257316 + 0.195607i
\(665\) 778.179 216.060i 1.17019 0.324903i
\(666\) 95.0726 + 763.535i 0.142752 + 1.14645i
\(667\) −90.6447 552.908i −0.135899 0.828948i
\(668\) −31.0195 140.923i −0.0464364 0.210963i
\(669\) −788.484 735.347i −1.17860 1.09917i
\(670\) −221.031 24.0385i −0.329896 0.0358784i
\(671\) 3.92907 + 2.66397i 0.00585554 + 0.00397015i
\(672\) −22.8578 195.987i −0.0340146 0.291647i
\(673\) −37.7166 695.642i −0.0560425 1.03364i −0.882401 0.470499i \(-0.844074\pi\)
0.826358 0.563145i \(-0.190409\pi\)
\(674\) 310.161 327.433i 0.460179 0.485805i
\(675\) −500.225 + 11.6684i −0.741075 + 0.0172865i
\(676\) 12.0150 221.604i 0.0177737 0.327817i
\(677\) −84.2195 + 382.613i −0.124401 + 0.565159i 0.872645 + 0.488355i \(0.162403\pi\)
−0.997046 + 0.0768046i \(0.975528\pi\)
\(678\) 157.077 + 227.837i 0.231676 + 0.336043i
\(679\) 1204.62 405.885i 1.77412 0.597769i
\(680\) 47.4562 215.596i 0.0697886 0.317053i
\(681\) 104.861 + 459.351i 0.153982 + 0.674525i
\(682\) 194.178 183.935i 0.284718 0.269699i
\(683\) −529.761 + 559.262i −0.775638 + 0.818831i −0.987359 0.158499i \(-0.949334\pi\)
0.211721 + 0.977330i \(0.432093\pi\)
\(684\) 282.181 + 402.566i 0.412545 + 0.588546i
\(685\) −36.1046 + 220.228i −0.0527074 + 0.321501i
\(686\) 506.079 + 343.130i 0.737725 + 0.500190i
\(687\) −45.6815 265.691i −0.0664942 0.386741i
\(688\) −83.2067 + 50.0638i −0.120940 + 0.0727672i
\(689\) −100.605 457.055i −0.146017 0.663360i
\(690\) 56.9405 + 120.606i 0.0825224 + 0.174791i
\(691\) −686.124 317.435i −0.992943 0.459384i −0.144977 0.989435i \(-0.546311\pi\)
−0.847966 + 0.530051i \(0.822173\pi\)
\(692\) −370.779 + 102.946i −0.535807 + 0.148766i
\(693\) −1168.65 444.707i −1.68637 0.641713i
\(694\) −803.438 + 87.3792i −1.15769 + 0.125907i
\(695\) −510.618 270.713i −0.734702 0.389515i
\(696\) −304.381 + 235.140i −0.437328 + 0.337845i
\(697\) −313.065 + 1127.56i −0.449161 + 1.61773i
\(698\) 343.260 + 291.568i 0.491776 + 0.417719i
\(699\) −74.0228 76.9380i −0.105898 0.110069i
\(700\) 241.837 + 356.683i 0.345481 + 0.509547i
\(701\) 243.344 + 525.979i 0.347138 + 0.750326i 0.999974 0.00717279i \(-0.00228319\pi\)
−0.652836 + 0.757499i \(0.726421\pi\)
\(702\) 290.749 + 8.97050i 0.414172 + 0.0127785i
\(703\) −611.123 + 1533.80i −0.869307 + 2.18180i
\(704\) 57.8514 76.1022i 0.0821753 0.108100i
\(705\) 125.573 466.304i 0.178117 0.661425i
\(706\) 428.953 + 144.531i 0.607583 + 0.204718i
\(707\) 2130.32i 3.01319i
\(708\) −280.549 215.889i −0.396256 0.304928i
\(709\) −701.124 −0.988892 −0.494446 0.869208i \(-0.664629\pi\)
−0.494446 + 0.869208i \(0.664629\pi\)
\(710\) 61.9877 183.973i 0.0873066 0.259117i
\(711\) −751.738 + 11.6890i −1.05730 + 0.0164402i
\(712\) 28.9280 + 21.9905i 0.0406293 + 0.0308856i
\(713\) 181.740 + 72.4116i 0.254894 + 0.101559i
\(714\) −839.786 + 1259.56i −1.17617 + 1.76409i
\(715\) 210.117 97.2103i 0.293869 0.135958i
\(716\) −45.0421 + 30.5393i −0.0629080 + 0.0426527i
\(717\) 205.177 + 213.258i 0.286161 + 0.297430i
\(718\) 254.237 299.311i 0.354091 0.416868i
\(719\) −325.682 90.4253i −0.452966 0.125765i 0.0335501 0.999437i \(-0.489319\pi\)
−0.486516 + 0.873672i \(0.661732\pi\)
\(720\) 54.2679 73.7404i 0.0753721 0.102417i
\(721\) 941.178 1775.25i 1.30538 2.46220i
\(722\) 58.8588 + 541.198i 0.0815219 + 0.749582i
\(723\) −696.873 521.251i −0.963864 0.720956i
\(724\) −164.633 592.954i −0.227394 0.818998i
\(725\) 352.719 762.390i 0.486509 1.05157i
\(726\) −39.4624 83.5852i −0.0543559 0.115131i
\(727\) −231.824 + 51.0283i −0.318877 + 0.0701902i −0.371525 0.928423i \(-0.621165\pi\)
0.0526477 + 0.998613i \(0.483234\pi\)
\(728\) −129.161 214.666i −0.177418 0.294872i
\(729\) 5.48290 728.979i 0.00752112 0.999972i
\(730\) −20.7271 + 30.5702i −0.0283933 + 0.0418770i
\(731\) 735.211 + 120.532i 1.00576 + 0.164886i
\(732\) 2.25282 0.778618i 0.00307763 0.00106369i
\(733\) 69.3969 + 65.7362i 0.0946751 + 0.0896811i 0.733574 0.679610i \(-0.237851\pi\)
−0.638898 + 0.769291i \(0.720610\pi\)
\(734\) −427.709 451.527i −0.582710 0.615159i
\(735\) 146.347 + 641.079i 0.199111 + 0.872217i
\(736\) 68.2871 + 15.0311i 0.0927814 + 0.0204227i
\(737\) 235.856 + 699.996i 0.320022 + 0.949791i
\(738\) −308.410 + 374.744i −0.417900 + 0.507783i
\(739\) −287.978 63.3886i −0.389685 0.0857762i 0.0158061 0.999875i \(-0.494969\pi\)
−0.405491 + 0.914099i \(0.632900\pi\)
\(740\) 307.039 + 16.6471i 0.414917 + 0.0224961i
\(741\) 537.331 + 317.638i 0.725143 + 0.428661i
\(742\) 733.348 + 694.665i 0.988340 + 0.936206i
\(743\) 807.542 43.7836i 1.08687 0.0589282i 0.498014 0.867169i \(-0.334063\pi\)
0.588852 + 0.808241i \(0.299580\pi\)
\(744\) −15.5577 133.395i −0.0209110 0.179294i
\(745\) −109.822 + 161.975i −0.147411 + 0.217416i
\(746\) −2.35799 + 21.6814i −0.00316085 + 0.0290635i
\(747\) 608.268 + 310.466i 0.814281 + 0.415617i
\(748\) −716.277 + 157.664i −0.957589 + 0.210781i
\(749\) 113.290 18.5730i 0.151255 0.0247970i
\(750\) −72.3853 + 464.101i −0.0965137 + 0.618802i
\(751\) −24.5221 88.3206i −0.0326526 0.117604i 0.945428 0.325832i \(-0.105644\pi\)
−0.978080 + <