Properties

Label 105.2.x.a.23.4
Level 105
Weight 2
Character 105.23
Analytic conductor 0.838
Analytic rank 0
Dimension 48
CM no
Inner twists 8

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Newspace parameters

Level: \( N \) = \( 105 = 3 \cdot 5 \cdot 7 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 105.x (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.838429221223\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(12\) over \(\Q(\zeta_{12})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 23.4
Character \(\chi\) = 105.23
Dual form 105.2.x.a.32.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.26950 + 0.340162i) q^{2} +(-1.59946 - 0.664627i) q^{3} +(-0.236127 + 0.136328i) q^{4} +(2.23063 + 0.155895i) q^{5} +(2.25660 + 0.299670i) q^{6} +(1.25943 - 2.32676i) q^{7} +(2.11207 - 2.11207i) q^{8} +(2.11654 + 2.12609i) q^{9} +O(q^{10})\) \(q+(-1.26950 + 0.340162i) q^{2} +(-1.59946 - 0.664627i) q^{3} +(-0.236127 + 0.136328i) q^{4} +(2.23063 + 0.155895i) q^{5} +(2.25660 + 0.299670i) q^{6} +(1.25943 - 2.32676i) q^{7} +(2.11207 - 2.11207i) q^{8} +(2.11654 + 2.12609i) q^{9} +(-2.88481 + 0.560865i) q^{10} +(3.38224 - 1.95274i) q^{11} +(0.468282 - 0.0611145i) q^{12} +(-1.56642 - 1.56642i) q^{13} +(-0.807377 + 3.38224i) q^{14} +(-3.46419 - 1.73188i) q^{15} +(-1.69017 + 2.92747i) q^{16} +(-0.693065 + 2.58656i) q^{17} +(-3.41017 - 1.97911i) q^{18} +(1.61097 + 0.930096i) q^{19} +(-0.547963 + 0.267285i) q^{20} +(-3.56084 + 2.88451i) q^{21} +(-3.62951 + 3.62951i) q^{22} +(-0.638564 - 2.38315i) q^{23} +(-4.78191 + 1.97443i) q^{24} +(4.95139 + 0.695488i) q^{25} +(2.52141 + 1.45574i) q^{26} +(-1.97227 - 4.80730i) q^{27} +(0.0198165 + 0.721106i) q^{28} -0.513153 q^{29} +(4.98691 + 1.02024i) q^{30} +(-4.29138 - 7.43289i) q^{31} +(-0.396276 + 1.47892i) q^{32} +(-6.70760 + 0.875396i) q^{33} -3.51939i q^{34} +(3.17206 - 4.99380i) q^{35} +(-0.789616 - 0.213483i) q^{36} +(1.77034 + 6.60698i) q^{37} +(-2.36152 - 0.632766i) q^{38} +(1.46434 + 3.54652i) q^{39} +(5.04050 - 4.38198i) q^{40} +0.308469i q^{41} +(3.53930 - 4.87315i) q^{42} +(7.60892 + 7.60892i) q^{43} +(-0.532425 + 0.922186i) q^{44} +(4.38977 + 5.07247i) q^{45} +(1.62131 + 2.80820i) q^{46} +(-5.10994 + 1.36920i) q^{47} +(4.64904 - 3.55903i) q^{48} +(-3.82765 - 5.86081i) q^{49} +(-6.52238 + 0.801352i) q^{50} +(2.82762 - 3.67646i) q^{51} +(0.583421 + 0.156327i) q^{52} +(1.85953 + 0.498259i) q^{53} +(4.13906 + 5.43199i) q^{54} +(7.84894 - 3.82855i) q^{55} +(-2.25427 - 7.57430i) q^{56} +(-1.95852 - 2.55835i) q^{57} +(0.651448 - 0.174555i) q^{58} +(-0.259114 - 0.448799i) q^{59} +(1.05409 - 0.0633209i) q^{60} +(-2.55451 + 4.42454i) q^{61} +(7.97631 + 7.97631i) q^{62} +(7.61255 - 2.24702i) q^{63} -8.77299i q^{64} +(-3.24991 - 3.73830i) q^{65} +(8.21753 - 3.39299i) q^{66} +(-8.74539 - 2.34332i) q^{67} +(-0.188968 - 0.705238i) q^{68} +(-0.562551 + 4.23616i) q^{69} +(-2.32823 + 7.41865i) q^{70} +15.3749i q^{71} +(8.96073 + 0.0201641i) q^{72} +(-0.749913 + 2.79871i) q^{73} +(-4.49489 - 7.78538i) q^{74} +(-7.45731 - 4.40324i) q^{75} -0.507191 q^{76} +(-0.283848 - 10.3290i) q^{77} +(-3.06538 - 4.00420i) q^{78} +(-4.37551 - 2.52620i) q^{79} +(-4.22653 + 6.26660i) q^{80} +(-0.0405048 + 8.99991i) q^{81} +(-0.104930 - 0.391602i) q^{82} +(-9.16088 + 9.16088i) q^{83} +(0.447571 - 1.16655i) q^{84} +(-1.94920 + 5.66159i) q^{85} +(-12.2478 - 7.07127i) q^{86} +(0.820767 + 0.341055i) q^{87} +(3.01921 - 11.2678i) q^{88} +(5.67519 - 9.82972i) q^{89} +(-7.29828 - 4.94628i) q^{90} +(-5.61750 + 1.67189i) q^{91} +(0.475671 + 0.475671i) q^{92} +(1.92379 + 14.7408i) q^{93} +(6.02133 - 3.47641i) q^{94} +(3.44848 + 2.32584i) q^{95} +(1.61676 - 2.10210i) q^{96} +(-6.81964 + 6.81964i) q^{97} +(6.85283 + 6.13829i) q^{98} +(11.3103 + 3.05789i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 2q^{3} - 24q^{6} - 12q^{7} + O(q^{10}) \) \( 48q - 2q^{3} - 24q^{6} - 12q^{7} - 8q^{10} - 10q^{12} - 16q^{13} + 4q^{15} - 8q^{16} + 14q^{18} - 28q^{21} - 8q^{22} + 4q^{25} + 40q^{27} - 60q^{28} + 40q^{30} - 24q^{31} - 4q^{33} + 8q^{36} + 4q^{37} - 16q^{40} + 14q^{42} + 16q^{43} + 40q^{45} - 32q^{46} + 44q^{48} + 8q^{51} + 36q^{52} - 40q^{55} - 88q^{57} + 56q^{58} - 50q^{60} - 8q^{61} + 44q^{63} + 76q^{66} + 12q^{67} + 140q^{70} - 34q^{72} + 52q^{73} + 6q^{75} + 64q^{76} - 120q^{78} + 20q^{81} + 104q^{82} - 24q^{85} - 46q^{87} - 84q^{90} + 72q^{91} - 44q^{93} + 12q^{96} - 120q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).

\(n\) \(22\) \(31\) \(71\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{3}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.26950 + 0.340162i −0.897673 + 0.240531i −0.678017 0.735046i \(-0.737160\pi\)
−0.219656 + 0.975577i \(0.570494\pi\)
\(3\) −1.59946 0.664627i −0.923448 0.383723i
\(4\) −0.236127 + 0.136328i −0.118063 + 0.0681639i
\(5\) 2.23063 + 0.155895i 0.997567 + 0.0697184i
\(6\) 2.25660 + 0.299670i 0.921252 + 0.122340i
\(7\) 1.25943 2.32676i 0.476021 0.879434i
\(8\) 2.11207 2.11207i 0.746729 0.746729i
\(9\) 2.11654 + 2.12609i 0.705514 + 0.708696i
\(10\) −2.88481 + 0.560865i −0.912258 + 0.177361i
\(11\) 3.38224 1.95274i 1.01978 0.588773i 0.105743 0.994394i \(-0.466278\pi\)
0.914041 + 0.405621i \(0.132945\pi\)
\(12\) 0.468282 0.0611145i 0.135181 0.0176422i
\(13\) −1.56642 1.56642i −0.434448 0.434448i 0.455691 0.890138i \(-0.349392\pi\)
−0.890138 + 0.455691i \(0.849392\pi\)
\(14\) −0.807377 + 3.38224i −0.215781 + 0.903942i
\(15\) −3.46419 1.73188i −0.894449 0.447170i
\(16\) −1.69017 + 2.92747i −0.422544 + 0.731867i
\(17\) −0.693065 + 2.58656i −0.168093 + 0.627332i 0.829532 + 0.558459i \(0.188607\pi\)
−0.997625 + 0.0688731i \(0.978060\pi\)
\(18\) −3.41017 1.97911i −0.803784 0.466480i
\(19\) 1.61097 + 0.930096i 0.369582 + 0.213379i 0.673276 0.739391i \(-0.264887\pi\)
−0.303694 + 0.952770i \(0.598220\pi\)
\(20\) −0.547963 + 0.267285i −0.122528 + 0.0597668i
\(21\) −3.56084 + 2.88451i −0.777040 + 0.629451i
\(22\) −3.62951 + 3.62951i −0.773815 + 0.773815i
\(23\) −0.638564 2.38315i −0.133150 0.496921i 0.866849 0.498571i \(-0.166142\pi\)
−0.999999 + 0.00164943i \(0.999475\pi\)
\(24\) −4.78191 + 1.97443i −0.976103 + 0.403029i
\(25\) 4.95139 + 0.695488i 0.990279 + 0.139098i
\(26\) 2.52141 + 1.45574i 0.494490 + 0.285494i
\(27\) −1.97227 4.80730i −0.379563 0.925166i
\(28\) 0.0198165 + 0.721106i 0.00374496 + 0.136276i
\(29\) −0.513153 −0.0952901 −0.0476450 0.998864i \(-0.515172\pi\)
−0.0476450 + 0.998864i \(0.515172\pi\)
\(30\) 4.98691 + 1.02024i 0.910481 + 0.186270i
\(31\) −4.29138 7.43289i −0.770755 1.33499i −0.937150 0.348928i \(-0.886546\pi\)
0.166394 0.986059i \(-0.446788\pi\)
\(32\) −0.396276 + 1.47892i −0.0700524 + 0.261439i
\(33\) −6.70760 + 0.875396i −1.16764 + 0.152387i
\(34\) 3.51939i 0.603570i
\(35\) 3.17206 4.99380i 0.536176 0.844106i
\(36\) −0.789616 0.213483i −0.131603 0.0355804i
\(37\) 1.77034 + 6.60698i 0.291041 + 1.08618i 0.944311 + 0.329056i \(0.106730\pi\)
−0.653269 + 0.757126i \(0.726603\pi\)
\(38\) −2.36152 0.632766i −0.383088 0.102648i
\(39\) 1.46434 + 3.54652i 0.234483 + 0.567897i
\(40\) 5.04050 4.38198i 0.796973 0.692851i
\(41\) 0.308469i 0.0481748i 0.999710 + 0.0240874i \(0.00766800\pi\)
−0.999710 + 0.0240874i \(0.992332\pi\)
\(42\) 3.53930 4.87315i 0.546125 0.751944i
\(43\) 7.60892 + 7.60892i 1.16035 + 1.16035i 0.984399 + 0.175950i \(0.0562999\pi\)
0.175950 + 0.984399i \(0.443700\pi\)
\(44\) −0.532425 + 0.922186i −0.0802660 + 0.139025i
\(45\) 4.38977 + 5.07247i 0.654388 + 0.756159i
\(46\) 1.62131 + 2.80820i 0.239050 + 0.414046i
\(47\) −5.10994 + 1.36920i −0.745361 + 0.199719i −0.611460 0.791276i \(-0.709417\pi\)
−0.133902 + 0.990995i \(0.542751\pi\)
\(48\) 4.64904 3.55903i 0.671031 0.513702i
\(49\) −3.82765 5.86081i −0.546807 0.837258i
\(50\) −6.52238 + 0.801352i −0.922404 + 0.113328i
\(51\) 2.82762 3.67646i 0.395947 0.514807i
\(52\) 0.583421 + 0.156327i 0.0809059 + 0.0216787i
\(53\) 1.85953 + 0.498259i 0.255426 + 0.0684411i 0.384260 0.923225i \(-0.374457\pi\)
−0.128834 + 0.991666i \(0.541123\pi\)
\(54\) 4.13906 + 5.43199i 0.563254 + 0.739200i
\(55\) 7.84894 3.82855i 1.05835 0.516242i
\(56\) −2.25427 7.57430i −0.301240 1.01216i
\(57\) −1.95852 2.55835i −0.259412 0.338861i
\(58\) 0.651448 0.174555i 0.0855393 0.0229202i
\(59\) −0.259114 0.448799i −0.0337338 0.0584287i 0.848666 0.528930i \(-0.177407\pi\)
−0.882399 + 0.470501i \(0.844073\pi\)
\(60\) 1.05409 0.0633209i 0.136082 0.00817469i
\(61\) −2.55451 + 4.42454i −0.327071 + 0.566504i −0.981929 0.189248i \(-0.939395\pi\)
0.654858 + 0.755752i \(0.272728\pi\)
\(62\) 7.97631 + 7.97631i 1.01299 + 1.01299i
\(63\) 7.61255 2.24702i 0.959091 0.283098i
\(64\) 8.77299i 1.09662i
\(65\) −3.24991 3.73830i −0.403101 0.463680i
\(66\) 8.21753 3.39299i 1.01151 0.417648i
\(67\) −8.74539 2.34332i −1.06842 0.286282i −0.318576 0.947897i \(-0.603205\pi\)
−0.749844 + 0.661615i \(0.769871\pi\)
\(68\) −0.188968 0.705238i −0.0229157 0.0855227i
\(69\) −0.562551 + 4.23616i −0.0677232 + 0.509974i
\(70\) −2.32823 + 7.41865i −0.278277 + 0.886698i
\(71\) 15.3749i 1.82467i 0.409448 + 0.912333i \(0.365721\pi\)
−0.409448 + 0.912333i \(0.634279\pi\)
\(72\) 8.96073 + 0.0201641i 1.05603 + 0.00237637i
\(73\) −0.749913 + 2.79871i −0.0877707 + 0.327565i −0.995824 0.0912890i \(-0.970901\pi\)
0.908054 + 0.418854i \(0.137568\pi\)
\(74\) −4.49489 7.78538i −0.522520 0.905032i
\(75\) −7.45731 4.40324i −0.861096 0.508442i
\(76\) −0.507191 −0.0581788
\(77\) −0.283848 10.3290i −0.0323475 1.17710i
\(78\) −3.06538 4.00420i −0.347086 0.453386i
\(79\) −4.37551 2.52620i −0.492284 0.284220i 0.233238 0.972420i \(-0.425068\pi\)
−0.725521 + 0.688200i \(0.758401\pi\)
\(80\) −4.22653 + 6.26660i −0.472540 + 0.700627i
\(81\) −0.0405048 + 8.99991i −0.00450054 + 0.999990i
\(82\) −0.104930 0.391602i −0.0115875 0.0432452i
\(83\) −9.16088 + 9.16088i −1.00554 + 1.00554i −0.00555287 + 0.999985i \(0.501768\pi\)
−0.999985 + 0.00555287i \(0.998232\pi\)
\(84\) 0.447571 1.16655i 0.0488340 0.127281i
\(85\) −1.94920 + 5.66159i −0.211421 + 0.614086i
\(86\) −12.2478 7.07127i −1.32071 0.762515i
\(87\) 0.820767 + 0.341055i 0.0879955 + 0.0365650i
\(88\) 3.01921 11.2678i 0.321849 1.20116i
\(89\) 5.67519 9.82972i 0.601569 1.04195i −0.391014 0.920385i \(-0.627876\pi\)
0.992584 0.121564i \(-0.0387910\pi\)
\(90\) −7.29828 4.94628i −0.769306 0.521383i
\(91\) −5.61750 + 1.67189i −0.588874 + 0.175262i
\(92\) 0.475671 + 0.475671i 0.0495922 + 0.0495922i
\(93\) 1.92379 + 14.7408i 0.199488 + 1.52855i
\(94\) 6.02133 3.47641i 0.621052 0.358565i
\(95\) 3.44848 + 2.32584i 0.353807 + 0.238626i
\(96\) 1.61676 2.10210i 0.165010 0.214545i
\(97\) −6.81964 + 6.81964i −0.692430 + 0.692430i −0.962766 0.270336i \(-0.912865\pi\)
0.270336 + 0.962766i \(0.412865\pi\)
\(98\) 6.85283 + 6.13829i 0.692241 + 0.620060i
\(99\) 11.3103 + 3.05789i 1.13673 + 0.307330i
\(100\) −1.26397 + 0.510789i −0.126397 + 0.0510789i
\(101\) 3.95893 2.28569i 0.393928 0.227434i −0.289933 0.957047i \(-0.593633\pi\)
0.683861 + 0.729613i \(0.260300\pi\)
\(102\) −2.33908 + 5.62912i −0.231604 + 0.557366i
\(103\) −9.79345 + 2.62415i −0.964978 + 0.258565i −0.706706 0.707507i \(-0.749820\pi\)
−0.258272 + 0.966072i \(0.583153\pi\)
\(104\) −6.61679 −0.648829
\(105\) −8.39259 + 5.87915i −0.819033 + 0.573746i
\(106\) −2.53016 −0.245751
\(107\) 1.70748 0.457517i 0.165068 0.0442299i −0.175338 0.984508i \(-0.556102\pi\)
0.340407 + 0.940278i \(0.389435\pi\)
\(108\) 1.12107 + 0.866257i 0.107875 + 0.0833556i
\(109\) −4.65588 + 2.68808i −0.445953 + 0.257471i −0.706119 0.708093i \(-0.749556\pi\)
0.260167 + 0.965564i \(0.416222\pi\)
\(110\) −8.66191 + 7.53027i −0.825881 + 0.717983i
\(111\) 1.55960 11.7442i 0.148031 1.11471i
\(112\) 4.68286 + 7.61959i 0.442489 + 0.719983i
\(113\) 7.83259 7.83259i 0.736828 0.736828i −0.235134 0.971963i \(-0.575553\pi\)
0.971963 + 0.235134i \(0.0755530\pi\)
\(114\) 3.35660 + 2.58161i 0.314374 + 0.241790i
\(115\) −1.05288 5.41547i −0.0981811 0.504995i
\(116\) 0.121169 0.0699569i 0.0112503 0.00649534i
\(117\) 0.0149548 6.64575i 0.00138257 0.614400i
\(118\) 0.481611 + 0.481611i 0.0443358 + 0.0443358i
\(119\) 5.14543 + 4.87019i 0.471681 + 0.446450i
\(120\) −10.9745 + 3.65874i −1.00183 + 0.333996i
\(121\) 2.12637 3.68298i 0.193306 0.334816i
\(122\) 1.73789 6.48590i 0.157341 0.587206i
\(123\) 0.205017 0.493384i 0.0184858 0.0444869i
\(124\) 2.02662 + 1.17007i 0.181996 + 0.105075i
\(125\) 10.9363 + 2.32327i 0.978171 + 0.207800i
\(126\) −8.89979 + 5.44210i −0.792856 + 0.484821i
\(127\) 8.12393 8.12393i 0.720883 0.720883i −0.247902 0.968785i \(-0.579741\pi\)
0.968785 + 0.247902i \(0.0797413\pi\)
\(128\) 2.19168 + 8.17948i 0.193719 + 0.722971i
\(129\) −7.11306 17.2273i −0.626270 1.51678i
\(130\) 5.39739 + 3.64029i 0.473383 + 0.319274i
\(131\) 3.80678 + 2.19784i 0.332600 + 0.192027i 0.656995 0.753895i \(-0.271827\pi\)
−0.324395 + 0.945922i \(0.605161\pi\)
\(132\) 1.46450 1.12114i 0.127468 0.0975823i
\(133\) 4.19303 2.57696i 0.363581 0.223451i
\(134\) 11.8994 1.02795
\(135\) −3.64995 11.0308i −0.314138 0.949377i
\(136\) 3.99918 + 6.92678i 0.342927 + 0.593967i
\(137\) 1.72207 6.42684i 0.147126 0.549082i −0.852526 0.522686i \(-0.824930\pi\)
0.999652 0.0263963i \(-0.00840317\pi\)
\(138\) −0.726822 5.56917i −0.0618712 0.474079i
\(139\) 12.3455i 1.04713i 0.851987 + 0.523564i \(0.175398\pi\)
−0.851987 + 0.523564i \(0.824602\pi\)
\(140\) −0.0682138 + 1.61161i −0.00576512 + 0.136206i
\(141\) 9.08315 + 1.20622i 0.764939 + 0.101582i
\(142\) −5.22996 19.5185i −0.438889 1.63795i
\(143\) −8.35683 2.23921i −0.698834 0.187252i
\(144\) −9.80138 + 2.60265i −0.816782 + 0.216887i
\(145\) −1.14465 0.0799980i −0.0950582 0.00664347i
\(146\) 3.80806i 0.315158i
\(147\) 2.22692 + 11.9181i 0.183673 + 0.982987i
\(148\) −1.31874 1.31874i −0.108400 0.108400i
\(149\) −4.91632 + 8.51531i −0.402761 + 0.697602i −0.994058 0.108852i \(-0.965283\pi\)
0.591297 + 0.806454i \(0.298616\pi\)
\(150\) 10.9649 + 3.05322i 0.895279 + 0.249294i
\(151\) −0.565526 0.979520i −0.0460219 0.0797122i 0.842097 0.539326i \(-0.181321\pi\)
−0.888119 + 0.459614i \(0.847988\pi\)
\(152\) 5.36691 1.43806i 0.435314 0.116642i
\(153\) −6.96615 + 4.00103i −0.563180 + 0.323464i
\(154\) 3.87388 + 13.0162i 0.312167 + 1.04887i
\(155\) −8.41372 17.2490i −0.675807 1.38547i
\(156\) −0.829259 0.637796i −0.0663938 0.0510646i
\(157\) 18.0804 + 4.84463i 1.44297 + 0.386643i 0.893574 0.448916i \(-0.148190\pi\)
0.549399 + 0.835560i \(0.314857\pi\)
\(158\) 6.41404 + 1.71864i 0.510274 + 0.136727i
\(159\) −2.64308 2.03284i −0.209610 0.161214i
\(160\) −1.11450 + 3.23715i −0.0881090 + 0.255919i
\(161\) −6.34926 1.51564i −0.500392 0.119449i
\(162\) −3.01001 11.4392i −0.236488 0.898747i
\(163\) 12.5828 3.37156i 0.985564 0.264081i 0.270178 0.962810i \(-0.412917\pi\)
0.715386 + 0.698729i \(0.246251\pi\)
\(164\) −0.0420529 0.0728378i −0.00328378 0.00568767i
\(165\) −15.0986 + 0.906999i −1.17543 + 0.0706098i
\(166\) 8.51357 14.7459i 0.660781 1.14451i
\(167\) −2.44412 2.44412i −0.189132 0.189132i 0.606189 0.795321i \(-0.292698\pi\)
−0.795321 + 0.606189i \(0.792698\pi\)
\(168\) −1.42847 + 13.6130i −0.110208 + 1.05027i
\(169\) 8.09264i 0.622510i
\(170\) 0.548656 7.85045i 0.0420800 0.602102i
\(171\) 1.43223 + 5.39366i 0.109525 + 0.412463i
\(172\) −2.83397 0.759361i −0.216089 0.0579007i
\(173\) 2.47294 + 9.22913i 0.188014 + 0.701678i 0.993965 + 0.109696i \(0.0349877\pi\)
−0.805951 + 0.591982i \(0.798346\pi\)
\(174\) −1.15798 0.153776i −0.0877862 0.0116578i
\(175\) 7.85419 10.6448i 0.593721 0.804671i
\(176\) 13.2019i 0.995128i
\(177\) 0.116159 + 0.890051i 0.00873103 + 0.0669003i
\(178\) −3.86097 + 14.4093i −0.289392 + 1.08003i
\(179\) 5.39030 + 9.33627i 0.402890 + 0.697826i 0.994073 0.108711i \(-0.0346724\pi\)
−0.591183 + 0.806537i \(0.701339\pi\)
\(180\) −1.72806 0.599297i −0.128802 0.0446690i
\(181\) −2.86639 −0.213057 −0.106529 0.994310i \(-0.533974\pi\)
−0.106529 + 0.994310i \(0.533974\pi\)
\(182\) 6.56272 4.03333i 0.486461 0.298970i
\(183\) 7.02650 5.37907i 0.519414 0.397633i
\(184\) −6.38207 3.68469i −0.470492 0.271639i
\(185\) 2.91896 + 15.0137i 0.214606 + 1.10383i
\(186\) −7.45651 18.0591i −0.546738 1.32415i
\(187\) 2.70675 + 10.1017i 0.197937 + 0.738711i
\(188\) 1.01993 1.01993i 0.0743862 0.0743862i
\(189\) −13.6694 1.46549i −0.994302 0.106598i
\(190\) −5.16902 1.77961i −0.375000 0.129107i
\(191\) −12.1299 7.00322i −0.877692 0.506736i −0.00779509 0.999970i \(-0.502481\pi\)
−0.869897 + 0.493234i \(0.835815\pi\)
\(192\) −5.83077 + 14.0320i −0.420799 + 1.01268i
\(193\) −2.46122 + 9.18541i −0.177163 + 0.661180i 0.819010 + 0.573779i \(0.194523\pi\)
−0.996173 + 0.0874017i \(0.972144\pi\)
\(194\) 6.33776 10.9773i 0.455025 0.788126i
\(195\) 2.71352 + 8.13924i 0.194319 + 0.582863i
\(196\) 1.70280 + 0.862077i 0.121629 + 0.0615770i
\(197\) −5.29206 5.29206i −0.377044 0.377044i 0.492991 0.870035i \(-0.335904\pi\)
−0.870035 + 0.492991i \(0.835904\pi\)
\(198\) −15.3987 0.0346513i −1.09434 0.00246256i
\(199\) 8.93994 5.16148i 0.633736 0.365888i −0.148462 0.988918i \(-0.547432\pi\)
0.782197 + 0.623031i \(0.214099\pi\)
\(200\) 11.9266 8.98877i 0.843338 0.635602i
\(201\) 12.4305 + 9.56047i 0.876778 + 0.674344i
\(202\) −4.24836 + 4.24836i −0.298914 + 0.298914i
\(203\) −0.646282 + 1.19398i −0.0453601 + 0.0838013i
\(204\) −0.166474 + 1.25359i −0.0116555 + 0.0877691i
\(205\) −0.0480889 + 0.688080i −0.00335867 + 0.0480576i
\(206\) 11.5402 6.66272i 0.804042 0.464214i
\(207\) 3.71524 6.40168i 0.258227 0.444948i
\(208\) 7.23318 1.93813i 0.501531 0.134385i
\(209\) 7.26493 0.502526
\(210\) 8.65455 10.3184i 0.597221 0.712039i
\(211\) −4.34600 −0.299191 −0.149596 0.988747i \(-0.547797\pi\)
−0.149596 + 0.988747i \(0.547797\pi\)
\(212\) −0.507010 + 0.135853i −0.0348216 + 0.00933042i
\(213\) 10.2186 24.5916i 0.700166 1.68499i
\(214\) −2.01202 + 1.16164i −0.137539 + 0.0794079i
\(215\) 15.7865 + 18.1589i 1.07663 + 1.23842i
\(216\) −14.3189 5.98779i −0.974279 0.407418i
\(217\) −22.6993 + 0.623792i −1.54093 + 0.0423458i
\(218\) 4.99627 4.99627i 0.338390 0.338390i
\(219\) 3.05956 3.97802i 0.206746 0.268809i
\(220\) −1.33140 + 1.97405i −0.0897633 + 0.133091i
\(221\) 5.13727 2.96601i 0.345570 0.199515i
\(222\) 2.01502 + 15.4398i 0.135239 + 1.03625i
\(223\) −11.5568 11.5568i −0.773903 0.773903i 0.204883 0.978786i \(-0.434318\pi\)
−0.978786 + 0.204883i \(0.934318\pi\)
\(224\) 2.94202 + 2.78464i 0.196572 + 0.186057i
\(225\) 9.00116 + 11.9991i 0.600077 + 0.799942i
\(226\) −7.27914 + 12.6078i −0.484201 + 0.838661i
\(227\) −3.68303 + 13.7452i −0.244451 + 0.912304i 0.729207 + 0.684293i \(0.239889\pi\)
−0.973658 + 0.228011i \(0.926778\pi\)
\(228\) 0.811232 + 0.337093i 0.0537251 + 0.0223245i
\(229\) −15.5725 8.99081i −1.02906 0.594129i −0.112346 0.993669i \(-0.535837\pi\)
−0.916716 + 0.399540i \(0.869170\pi\)
\(230\) 3.17876 + 6.51680i 0.209601 + 0.429705i
\(231\) −6.41094 + 16.7095i −0.421809 + 1.09940i
\(232\) −1.08381 + 1.08381i −0.0711559 + 0.0711559i
\(233\) −2.99490 11.1771i −0.196203 0.732239i −0.991952 0.126613i \(-0.959589\pi\)
0.795750 0.605626i \(-0.207077\pi\)
\(234\) 2.24165 + 8.44188i 0.146541 + 0.551863i
\(235\) −11.6118 + 2.25757i −0.757472 + 0.147268i
\(236\) 0.122368 + 0.0706489i 0.00796545 + 0.00459885i
\(237\) 5.31947 + 6.94865i 0.345537 + 0.451363i
\(238\) −8.18879 4.43244i −0.530800 0.287312i
\(239\) −24.0516 −1.55577 −0.777885 0.628407i \(-0.783707\pi\)
−0.777885 + 0.628407i \(0.783707\pi\)
\(240\) 10.9251 7.21411i 0.705213 0.465669i
\(241\) −0.707286 1.22506i −0.0455603 0.0789127i 0.842346 0.538937i \(-0.181174\pi\)
−0.887906 + 0.460024i \(0.847841\pi\)
\(242\) −1.44662 + 5.39886i −0.0929922 + 0.347052i
\(243\) 6.04637 14.3681i 0.387875 0.921712i
\(244\) 1.39300i 0.0891778i
\(245\) −7.62439 13.6700i −0.487105 0.873344i
\(246\) −0.0924390 + 0.696091i −0.00589370 + 0.0443811i
\(247\) −1.06654 3.98039i −0.0678624 0.253266i
\(248\) −24.7625 6.63509i −1.57242 0.421329i
\(249\) 20.7410 8.56389i 1.31441 0.542714i
\(250\) −14.6739 + 0.770711i −0.928061 + 0.0487440i
\(251\) 10.8892i 0.687318i 0.939094 + 0.343659i \(0.111666\pi\)
−0.939094 + 0.343659i \(0.888334\pi\)
\(252\) −1.49119 + 1.56838i −0.0939363 + 0.0987988i
\(253\) −6.81345 6.81345i −0.428358 0.428358i
\(254\) −7.54989 + 13.0768i −0.473722 + 0.820511i
\(255\) 6.88052 7.76000i 0.430875 0.485950i
\(256\) 3.20829 + 5.55693i 0.200518 + 0.347308i
\(257\) −19.1801 + 5.13930i −1.19642 + 0.320581i −0.801422 0.598100i \(-0.795923\pi\)
−0.395002 + 0.918680i \(0.629256\pi\)
\(258\) 14.8901 + 19.4504i 0.927017 + 1.21093i
\(259\) 17.6025 + 4.20191i 1.09377 + 0.261094i
\(260\) 1.27702 + 0.439660i 0.0791977 + 0.0272666i
\(261\) −1.08611 1.09101i −0.0672285 0.0675317i
\(262\) −5.58033 1.49525i −0.344754 0.0923766i
\(263\) −25.3272 6.78641i −1.56174 0.418468i −0.628529 0.777786i \(-0.716343\pi\)
−0.933215 + 0.359318i \(0.883009\pi\)
\(264\) −12.3180 + 16.0158i −0.758122 + 0.985705i
\(265\) 4.07024 + 1.40132i 0.250033 + 0.0860825i
\(266\) −4.44647 + 4.69776i −0.272631 + 0.288038i
\(267\) −15.6103 + 11.9504i −0.955337 + 0.731350i
\(268\) 2.38448 0.638919i 0.145655 0.0390282i
\(269\) 0.241071 + 0.417547i 0.0146984 + 0.0254583i 0.873281 0.487217i \(-0.161988\pi\)
−0.858583 + 0.512675i \(0.828655\pi\)
\(270\) 8.38587 + 12.7620i 0.510348 + 0.776671i
\(271\) −2.96583 + 5.13697i −0.180161 + 0.312049i −0.941935 0.335794i \(-0.890995\pi\)
0.761774 + 0.647843i \(0.224329\pi\)
\(272\) −6.40065 6.40065i −0.388097 0.388097i
\(273\) 10.0962 + 1.05943i 0.611047 + 0.0641194i
\(274\) 8.74466i 0.528284i
\(275\) 18.1049 7.31646i 1.09177 0.441199i
\(276\) −0.444673 1.07696i −0.0267662 0.0648254i
\(277\) 13.0981 + 3.50963i 0.786989 + 0.210873i 0.629864 0.776706i \(-0.283111\pi\)
0.157125 + 0.987579i \(0.449777\pi\)
\(278\) −4.19945 15.6726i −0.251866 0.939978i
\(279\) 6.72010 24.8559i 0.402322 1.48808i
\(280\) −3.84764 17.2469i −0.229941 1.03070i
\(281\) 12.2359i 0.729932i 0.931021 + 0.364966i \(0.118919\pi\)
−0.931021 + 0.364966i \(0.881081\pi\)
\(282\) −11.9414 + 1.55845i −0.711099 + 0.0928041i
\(283\) −5.29737 + 19.7700i −0.314896 + 1.17521i 0.609191 + 0.793024i \(0.291494\pi\)
−0.924086 + 0.382184i \(0.875172\pi\)
\(284\) −2.09603 3.63043i −0.124376 0.215426i
\(285\) −3.96989 6.01204i −0.235156 0.356123i
\(286\) 11.3707 0.672364
\(287\) 0.717735 + 0.388497i 0.0423666 + 0.0229322i
\(288\) −3.98305 + 2.28768i −0.234704 + 0.134803i
\(289\) 8.51250 + 4.91470i 0.500736 + 0.289100i
\(290\) 1.48035 0.287809i 0.0869292 0.0169008i
\(291\) 15.4403 6.37522i 0.905124 0.373722i
\(292\) −0.204468 0.763084i −0.0119656 0.0446561i
\(293\) 18.3002 18.3002i 1.06911 1.06911i 0.0716843 0.997427i \(-0.477163\pi\)
0.997427 0.0716843i \(-0.0228374\pi\)
\(294\) −6.88116 14.3725i −0.401317 0.838222i
\(295\) −0.508022 1.04150i −0.0295782 0.0606384i
\(296\) 17.6935 + 10.2153i 1.02841 + 0.593754i
\(297\) −16.0581 12.4081i −0.931784 0.719993i
\(298\) 3.34469 12.4825i 0.193753 0.723095i
\(299\) −2.73276 + 4.73328i −0.158040 + 0.273733i
\(300\) 2.36115 + 0.0230823i 0.136321 + 0.00133265i
\(301\) 27.2871 8.12122i 1.57280 0.468099i
\(302\) 1.05113 + 1.05113i 0.0604858 + 0.0604858i
\(303\) −7.85127 + 1.02465i −0.451044 + 0.0588649i
\(304\) −5.44565 + 3.14405i −0.312329 + 0.180323i
\(305\) −6.38792 + 9.47126i −0.365771 + 0.542323i
\(306\) 7.48254 7.44894i 0.427748 0.425827i
\(307\) 19.2900 19.2900i 1.10094 1.10094i 0.106640 0.994298i \(-0.465991\pi\)
0.994298 0.106640i \(-0.0340093\pi\)
\(308\) 1.47516 + 2.40026i 0.0840548 + 0.136767i
\(309\) 17.4083 + 2.31178i 0.990324 + 0.131512i
\(310\) 16.5487 + 19.0356i 0.939903 + 1.08115i
\(311\) 21.9700 12.6844i 1.24581 0.719266i 0.275536 0.961291i \(-0.411145\pi\)
0.970270 + 0.242025i \(0.0778115\pi\)
\(312\) 10.5833 + 4.39770i 0.599160 + 0.248971i
\(313\) 23.6594 6.33953i 1.33731 0.358331i 0.481875 0.876240i \(-0.339956\pi\)
0.855436 + 0.517909i \(0.173289\pi\)
\(314\) −24.6011 −1.38832
\(315\) 17.3311 3.82551i 0.976494 0.215543i
\(316\) 1.37757 0.0774942
\(317\) 11.6409 3.11916i 0.653815 0.175189i 0.0833621 0.996519i \(-0.473434\pi\)
0.570453 + 0.821330i \(0.306768\pi\)
\(318\) 4.04689 + 1.68161i 0.226938 + 0.0943002i
\(319\) −1.73561 + 1.00205i −0.0971753 + 0.0561042i
\(320\) 1.36767 19.5693i 0.0764549 1.09396i
\(321\) −3.03512 0.403056i −0.169404 0.0224964i
\(322\) 8.57595 0.235673i 0.477919 0.0131335i
\(323\) −3.52225 + 3.52225i −0.195983 + 0.195983i
\(324\) −1.21737 2.13064i −0.0676318 0.118369i
\(325\) −6.66655 8.84541i −0.369794 0.490655i
\(326\) −14.8271 + 8.56041i −0.821195 + 0.474117i
\(327\) 9.23346 1.20504i 0.510612 0.0666389i
\(328\) 0.651508 + 0.651508i 0.0359735 + 0.0359735i
\(329\) −3.24982 + 13.6140i −0.179168 + 0.750566i
\(330\) 18.8592 6.28741i 1.03816 0.346111i
\(331\) 4.87405 8.44210i 0.267902 0.464020i −0.700418 0.713733i \(-0.747003\pi\)
0.968320 + 0.249713i \(0.0803364\pi\)
\(332\) 0.914245 3.41201i 0.0501757 0.187258i
\(333\) −10.3000 + 17.7478i −0.564439 + 0.972576i
\(334\) 3.93422 + 2.27142i 0.215271 + 0.124287i
\(335\) −19.1424 6.59044i −1.04586 0.360074i
\(336\) −2.42586 15.2996i −0.132342 0.834660i
\(337\) 10.5951 10.5951i 0.577152 0.577152i −0.356966 0.934117i \(-0.616189\pi\)
0.934117 + 0.356966i \(0.116189\pi\)
\(338\) 2.75281 + 10.2736i 0.149733 + 0.558811i
\(339\) −17.7337 + 7.32216i −0.963161 + 0.397685i
\(340\) −0.311574 1.60258i −0.0168975 0.0869122i
\(341\) −29.0290 16.7599i −1.57201 0.907599i
\(342\) −3.65293 6.36007i −0.197528 0.343913i
\(343\) −18.4574 + 1.52474i −0.996605 + 0.0823280i
\(344\) 32.1411 1.73293
\(345\) −1.91524 + 9.36160i −0.103113 + 0.504011i
\(346\) −6.27880 10.8752i −0.337550 0.584654i
\(347\) −5.58508 + 20.8438i −0.299823 + 1.11895i 0.637488 + 0.770460i \(0.279973\pi\)
−0.937311 + 0.348494i \(0.886693\pi\)
\(348\) −0.240300 + 0.0313611i −0.0128814 + 0.00168113i
\(349\) 28.5116i 1.52619i 0.646287 + 0.763094i \(0.276321\pi\)
−0.646287 + 0.763094i \(0.723679\pi\)
\(350\) −6.34995 + 16.1853i −0.339419 + 0.865140i
\(351\) −4.44087 + 10.6197i −0.237036 + 0.566836i
\(352\) 1.54765 + 5.77589i 0.0824898 + 0.307856i
\(353\) 11.8664 + 3.17961i 0.631587 + 0.169233i 0.560390 0.828229i \(-0.310651\pi\)
0.0711974 + 0.997462i \(0.477318\pi\)
\(354\) −0.450225 1.09041i −0.0239292 0.0579545i
\(355\) −2.39688 + 34.2957i −0.127213 + 1.82023i
\(356\) 3.09474i 0.164021i
\(357\) −4.99304 11.2095i −0.264260 0.593268i
\(358\) −10.0188 10.0188i −0.529512 0.529512i
\(359\) 2.40785 4.17052i 0.127081 0.220112i −0.795463 0.606002i \(-0.792772\pi\)
0.922545 + 0.385890i \(0.126106\pi\)
\(360\) 19.9849 + 1.44191i 1.05330 + 0.0759955i
\(361\) −7.76984 13.4578i −0.408939 0.708303i
\(362\) 3.63889 0.975037i 0.191256 0.0512468i
\(363\) −5.84885 + 4.47753i −0.306985 + 0.235010i
\(364\) 1.09852 1.16060i 0.0575779 0.0608319i
\(365\) −2.10908 + 6.12598i −0.110394 + 0.320648i
\(366\) −7.09040 + 9.21889i −0.370621 + 0.481879i
\(367\) −13.8417 3.70888i −0.722532 0.193602i −0.121231 0.992624i \(-0.538684\pi\)
−0.601301 + 0.799022i \(0.705351\pi\)
\(368\) 8.05588 + 2.15857i 0.419942 + 0.112523i
\(369\) −0.655833 + 0.652888i −0.0341413 + 0.0339880i
\(370\) −8.81272 18.0670i −0.458151 0.939259i
\(371\) 3.50128 3.69916i 0.181778 0.192051i
\(372\) −2.46384 3.21842i −0.127744 0.166868i
\(373\) 1.12654 0.301856i 0.0583301 0.0156295i −0.229536 0.973300i \(-0.573721\pi\)
0.287866 + 0.957671i \(0.407054\pi\)
\(374\) −6.87245 11.9034i −0.355366 0.615512i
\(375\) −15.9480 10.9845i −0.823553 0.567239i
\(376\) −7.90069 + 13.6844i −0.407447 + 0.705719i
\(377\) 0.803814 + 0.803814i 0.0413985 + 0.0413985i
\(378\) 17.8518 2.78937i 0.918199 0.143470i
\(379\) 24.8744i 1.27771i 0.769326 + 0.638856i \(0.220592\pi\)
−0.769326 + 0.638856i \(0.779408\pi\)
\(380\) −1.13135 0.0790687i −0.0580373 0.00405614i
\(381\) −18.3933 + 7.59452i −0.942317 + 0.389079i
\(382\) 17.7812 + 4.76446i 0.909766 + 0.243771i
\(383\) 0.460280 + 1.71779i 0.0235192 + 0.0877749i 0.976688 0.214664i \(-0.0688657\pi\)
−0.953169 + 0.302439i \(0.902199\pi\)
\(384\) 1.93079 14.5394i 0.0985304 0.741961i
\(385\) 0.977084 23.0844i 0.0497968 1.17649i
\(386\) 12.4981i 0.636137i
\(387\) −0.0726432 + 32.2818i −0.00369266 + 1.64098i
\(388\) 0.680592 2.54000i 0.0345518 0.128949i
\(389\) −12.9155 22.3704i −0.654843 1.13422i −0.981933 0.189229i \(-0.939401\pi\)
0.327090 0.944993i \(-0.393932\pi\)
\(390\) −6.21348 9.40975i −0.314632 0.476481i
\(391\) 6.60672 0.334116
\(392\) −20.4627 4.29417i −1.03352 0.216888i
\(393\) −4.62804 6.04545i −0.233454 0.304953i
\(394\) 8.51844 + 4.91812i 0.429153 + 0.247772i
\(395\) −9.36632 6.31714i −0.471271 0.317850i
\(396\) −3.08755 + 0.819864i −0.155155 + 0.0411997i
\(397\) −6.15207 22.9598i −0.308763 1.15232i −0.929657 0.368426i \(-0.879897\pi\)
0.620894 0.783895i \(-0.286770\pi\)
\(398\) −9.59353 + 9.59353i −0.480880 + 0.480880i
\(399\) −8.41929 + 1.33494i −0.421492 + 0.0668306i
\(400\) −10.4047 + 13.3195i −0.520237 + 0.665977i
\(401\) 6.94186 + 4.00789i 0.346660 + 0.200144i 0.663213 0.748430i \(-0.269192\pi\)
−0.316553 + 0.948575i \(0.602526\pi\)
\(402\) −19.0326 7.90867i −0.949260 0.394448i
\(403\) −4.92094 + 18.3652i −0.245129 + 0.914835i
\(404\) −0.623205 + 1.07942i −0.0310056 + 0.0537033i
\(405\) −1.49339 + 20.0691i −0.0742073 + 0.997243i
\(406\) 0.414308 1.73561i 0.0205618 0.0861367i
\(407\) 18.8894 + 18.8894i 0.936313 + 0.936313i
\(408\) −1.79280 13.7371i −0.0887568 0.680087i
\(409\) −13.0923 + 7.55884i −0.647372 + 0.373761i −0.787449 0.616380i \(-0.788599\pi\)
0.140076 + 0.990141i \(0.455265\pi\)
\(410\) −0.173010 0.889877i −0.00854434 0.0439479i
\(411\) −7.02583 + 9.13494i −0.346559 + 0.450593i
\(412\) 1.95475 1.95475i 0.0963036 0.0963036i
\(413\) −1.37059 + 0.0376647i −0.0674422 + 0.00185336i
\(414\) −2.53890 + 9.39073i −0.124780 + 0.461529i
\(415\) −21.8626 + 19.0064i −1.07320 + 0.932986i
\(416\) 2.93735 1.69588i 0.144016 0.0831475i
\(417\) 8.20512 19.7460i 0.401807 0.966968i
\(418\) −9.22284 + 2.47125i −0.451104 + 0.120873i
\(419\) 26.4645 1.29287 0.646437 0.762967i \(-0.276258\pi\)
0.646437 + 0.762967i \(0.276258\pi\)
\(420\) 1.18022 2.53237i 0.0575890 0.123567i
\(421\) −10.4834 −0.510929 −0.255464 0.966818i \(-0.582228\pi\)
−0.255464 + 0.966818i \(0.582228\pi\)
\(422\) 5.51726 1.47835i 0.268576 0.0719647i
\(423\) −13.7264 7.96621i −0.667403 0.387330i
\(424\) 4.97981 2.87509i 0.241841 0.139627i
\(425\) −5.23056 + 12.3250i −0.253719 + 0.597852i
\(426\) −4.60740 + 34.6950i −0.223229 + 1.68098i
\(427\) 7.07762 + 11.5161i 0.342510 + 0.557306i
\(428\) −0.340809 + 0.340809i −0.0164736 + 0.0164736i
\(429\) 11.8782 + 9.13570i 0.573484 + 0.441076i
\(430\) −26.2179 17.6827i −1.26434 0.852738i
\(431\) 4.95598 2.86134i 0.238721 0.137826i −0.375868 0.926673i \(-0.622655\pi\)
0.614589 + 0.788848i \(0.289322\pi\)
\(432\) 17.4067 + 2.35144i 0.837480 + 0.113133i
\(433\) −0.977454 0.977454i −0.0469735 0.0469735i 0.683230 0.730203i \(-0.260575\pi\)
−0.730203 + 0.683230i \(0.760575\pi\)
\(434\) 28.6046 8.51334i 1.37307 0.408654i
\(435\) 1.77766 + 0.888721i 0.0852321 + 0.0426109i
\(436\) 0.732918 1.26945i 0.0351004 0.0607957i
\(437\) 1.18785 4.43312i 0.0568226 0.212065i
\(438\) −2.53094 + 6.09084i −0.120933 + 0.291032i
\(439\) 4.91850 + 2.83970i 0.234747 + 0.135531i 0.612760 0.790269i \(-0.290059\pi\)
−0.378013 + 0.925800i \(0.623392\pi\)
\(440\) 8.49133 24.6637i 0.404808 1.17579i
\(441\) 4.35922 20.5426i 0.207582 0.978218i
\(442\) −5.51285 + 5.51285i −0.262220 + 0.262220i
\(443\) 5.85218 + 21.8406i 0.278045 + 1.03768i 0.953773 + 0.300528i \(0.0971629\pi\)
−0.675728 + 0.737151i \(0.736170\pi\)
\(444\) 1.23280 + 2.98574i 0.0585061 + 0.141697i
\(445\) 14.1916 21.0417i 0.672749 0.997473i
\(446\) 18.6026 + 10.7402i 0.880859 + 0.508564i
\(447\) 13.5230 10.3524i 0.639614 0.489651i
\(448\) −20.4127 11.0490i −0.964408 0.522016i
\(449\) −32.0075 −1.51053 −0.755264 0.655420i \(-0.772491\pi\)
−0.755264 + 0.655420i \(0.772491\pi\)
\(450\) −15.5086 12.1711i −0.731084 0.573749i
\(451\) 0.602360 + 1.04332i 0.0283640 + 0.0491279i
\(452\) −0.781684 + 2.91728i −0.0367673 + 0.137217i
\(453\) 0.253521 + 1.94257i 0.0119114 + 0.0912697i
\(454\) 18.7024i 0.877749i
\(455\) −12.7912 + 2.85362i −0.599660 + 0.133780i
\(456\) −9.53993 1.26688i −0.446748 0.0593270i
\(457\) −1.70934 6.37935i −0.0799596 0.298413i 0.914352 0.404919i \(-0.132700\pi\)
−0.994312 + 0.106506i \(0.966034\pi\)
\(458\) 22.8277 + 6.11666i 1.06667 + 0.285813i
\(459\) 13.8013 1.76960i 0.644188 0.0825978i
\(460\) 0.986890 + 1.13520i 0.0460140 + 0.0529290i
\(461\) 28.3844i 1.32199i −0.750389 0.660996i \(-0.770134\pi\)
0.750389 0.660996i \(-0.229866\pi\)
\(462\) 2.45477 23.3935i 0.114206 1.08836i
\(463\) −3.86974 3.86974i −0.179842 0.179842i 0.611445 0.791287i \(-0.290589\pi\)
−0.791287 + 0.611445i \(0.790589\pi\)
\(464\) 0.867317 1.50224i 0.0402642 0.0697396i
\(465\) 1.99324 + 33.1811i 0.0924344 + 1.53874i
\(466\) 7.60407 + 13.1706i 0.352252 + 0.610118i
\(467\) −7.96411 + 2.13398i −0.368535 + 0.0987486i −0.438333 0.898813i \(-0.644431\pi\)
0.0697985 + 0.997561i \(0.477764\pi\)
\(468\) 0.902469 + 1.57128i 0.0417167 + 0.0726323i
\(469\) −16.4666 + 17.3972i −0.760357 + 0.803328i
\(470\) 13.9733 6.81589i 0.644540 0.314393i
\(471\) −25.6990 19.7655i −1.18415 0.910747i
\(472\) −1.49516 0.400628i −0.0688204 0.0184404i
\(473\) 40.5934 + 10.8770i 1.86649 + 0.500124i
\(474\) −9.11675 7.01184i −0.418746 0.322064i
\(475\) 7.32969 + 5.72568i 0.336309 + 0.262712i
\(476\) −1.87891 0.448517i −0.0861199 0.0205578i
\(477\) 2.87642 + 5.00811i 0.131702 + 0.229305i
\(478\) 30.5336 8.18145i 1.39657 0.374211i
\(479\) 10.8658 + 18.8202i 0.496473 + 0.859917i 0.999992 0.00406782i \(-0.00129483\pi\)
−0.503519 + 0.863984i \(0.667961\pi\)
\(480\) 3.93409 4.43696i 0.179566 0.202518i
\(481\) 7.57624 13.1224i 0.345447 0.598331i
\(482\) 1.31462 + 1.31462i 0.0598792 + 0.0598792i
\(483\) 9.14805 + 6.64409i 0.416251 + 0.302316i
\(484\) 1.15953i 0.0527060i
\(485\) −16.2752 + 14.1489i −0.739020 + 0.642470i
\(486\) −2.78841 + 20.2970i −0.126485 + 0.920692i
\(487\) −8.74077 2.34208i −0.396082 0.106130i 0.0552796 0.998471i \(-0.482395\pi\)
−0.451362 + 0.892341i \(0.649062\pi\)
\(488\) 3.94963 + 14.7402i 0.178791 + 0.667259i
\(489\) −22.3666 2.97022i −1.01145 0.134318i
\(490\) 14.3292 + 14.7605i 0.647327 + 0.666814i
\(491\) 28.9156i 1.30494i −0.757814 0.652471i \(-0.773732\pi\)
0.757814 0.652471i \(-0.226268\pi\)
\(492\) 0.0188520 + 0.144451i 0.000849912 + 0.00651233i
\(493\) 0.355648 1.32730i 0.0160176 0.0597785i
\(494\) 2.70795 + 4.69031i 0.121837 + 0.211027i
\(495\) 24.7525 + 8.58425i 1.11254 + 0.385833i
\(496\) 29.0127 1.30271
\(497\) 35.7738 + 19.3637i 1.60467 + 0.868580i
\(498\) −23.4177 + 17.9272i −1.04937 + 0.803336i
\(499\) −27.9320 16.1266i −1.25041 0.721924i −0.279218 0.960228i \(-0.590075\pi\)
−0.971191 + 0.238304i \(0.923409\pi\)
\(500\) −2.89907 + 0.942333i −0.129651 + 0.0421424i
\(501\) 2.28485 + 5.53371i 0.102079 + 0.247228i
\(502\) −3.70408 13.8238i −0.165321 0.616987i
\(503\) 7.21038 7.21038i 0.321495 0.321495i −0.527845 0.849340i \(-0.677000\pi\)
0.849340 + 0.527845i \(0.177000\pi\)
\(504\) 11.3324 20.8241i 0.504784 0.927579i
\(505\) 9.18722 4.48134i 0.408826 0.199417i
\(506\) 10.9674 + 6.33201i 0.487558 + 0.281492i
\(507\) −5.37859 + 12.9438i −0.238871 + 0.574856i
\(508\) −0.810759 + 3.02579i −0.0359716 + 0.134248i
\(509\) 11.9373 20.6761i 0.529113 0.916451i −0.470311 0.882501i \(-0.655858\pi\)
0.999424 0.0339497i \(-0.0108086\pi\)
\(510\) −6.09517 + 12.1918i −0.269899 + 0.539863i
\(511\) 5.56748 + 5.26966i 0.246291 + 0.233116i
\(512\) −17.9388 17.9388i −0.792789 0.792789i
\(513\) 1.29398 9.57883i 0.0571308 0.422916i
\(514\) 22.6010 13.0487i 0.996888 0.575553i
\(515\) −22.2546 + 4.32674i −0.980656 + 0.190659i
\(516\) 4.02814 + 3.09810i 0.177329 + 0.136386i
\(517\) −14.6093 + 14.6093i −0.642518 + 0.642518i
\(518\) −23.7757 + 0.653374i −1.04465 + 0.0287076i
\(519\) 2.17857 16.4052i 0.0956285 0.720109i
\(520\) −14.7596 1.03153i −0.647251 0.0452354i
\(521\) −18.3151 + 10.5743i −0.802401 + 0.463267i −0.844310 0.535855i \(-0.819989\pi\)
0.0419089 + 0.999121i \(0.486656\pi\)
\(522\) 1.74994 + 1.01558i 0.0765926 + 0.0444509i
\(523\) 16.0383 4.29744i 0.701305 0.187914i 0.109490 0.993988i \(-0.465078\pi\)
0.591815 + 0.806074i \(0.298412\pi\)
\(524\) −1.19851 −0.0523571
\(525\) −19.6373 + 11.8058i −0.857041 + 0.515248i
\(526\) 34.4614 1.50259
\(527\) 22.1998 5.94842i 0.967039 0.259117i
\(528\) 8.77432 21.1159i 0.381853 0.918949i
\(529\) 14.6469 8.45641i 0.636823 0.367670i
\(530\) −5.64385 0.394440i −0.245153 0.0171334i
\(531\) 0.405761 1.50080i 0.0176085 0.0651293i
\(532\) −0.638774 + 1.18011i −0.0276944 + 0.0511644i
\(533\) 0.483193 0.483193i 0.0209294 0.0209294i
\(534\) 15.7523 20.4810i 0.681669 0.886301i
\(535\) 3.88007 0.754363i 0.167750 0.0326140i
\(536\) −23.4201 + 13.5216i −1.01160 + 0.584045i
\(537\) −2.41643 18.5155i −0.104276 0.799004i
\(538\) −0.448074 0.448074i −0.0193178 0.0193178i
\(539\) −24.3907 12.3483i −1.05058 0.531878i
\(540\) 2.36565 + 2.10707i 0.101801 + 0.0906737i
\(541\) −20.2965 + 35.1545i −0.872613 + 1.51141i −0.0133293 + 0.999911i \(0.504243\pi\)
−0.859284 + 0.511499i \(0.829090\pi\)
\(542\) 2.01773 7.53026i 0.0866687 0.323452i
\(543\) 4.58468 + 1.90508i 0.196747 + 0.0817549i
\(544\) −3.55067 2.04998i −0.152234 0.0878921i
\(545\) −10.8046 + 5.27026i −0.462818 + 0.225753i
\(546\) −13.1775 + 2.08938i −0.563943 + 0.0894173i
\(547\) −7.28811 + 7.28811i −0.311617 + 0.311617i −0.845536 0.533919i \(-0.820719\pi\)
0.533919 + 0.845536i \(0.320719\pi\)
\(548\) 0.469531 + 1.75231i 0.0200574 + 0.0748551i
\(549\) −14.8137 + 3.93361i −0.632233 + 0.167882i
\(550\) −20.4954 + 15.4469i −0.873928 + 0.658657i
\(551\) −0.826675 0.477281i −0.0352175 0.0203329i
\(552\) 7.75892 + 10.1352i 0.330241 + 0.431383i
\(553\) −11.3886 + 6.99920i −0.484290 + 0.297636i
\(554\) −17.8219 −0.757181
\(555\) 5.30975 25.9538i 0.225386 1.10168i
\(556\) −1.68303 2.91509i −0.0713762 0.123627i
\(557\) 8.51930 31.7945i 0.360975 1.34718i −0.511822 0.859091i \(-0.671029\pi\)
0.872797 0.488084i \(-0.162304\pi\)
\(558\) −0.0761506 + 33.8405i −0.00322371 + 1.43258i
\(559\) 23.8376i 1.00822i
\(560\) 9.25786 + 17.7265i 0.391216 + 0.749081i
\(561\) 2.38455 17.9563i 0.100676 0.758115i
\(562\) −4.16218 15.5335i −0.175571 0.655240i
\(563\) 13.6232 + 3.65033i 0.574150 + 0.153843i 0.534199 0.845359i \(-0.320613\pi\)
0.0399510 + 0.999202i \(0.487280\pi\)
\(564\) −2.30921 + 0.953465i −0.0972354 + 0.0401481i
\(565\) 18.6927 16.2505i 0.786406 0.683665i
\(566\) 26.9001i 1.13069i
\(567\) 20.8896 + 11.4290i 0.877282 + 0.479974i
\(568\) 32.4729 + 32.4729i 1.36253 + 1.36253i
\(569\) 22.7130 39.3401i 0.952178 1.64922i 0.211481 0.977382i \(-0.432171\pi\)
0.740697 0.671839i \(-0.234495\pi\)
\(570\) 7.08485 + 6.28189i 0.296752 + 0.263119i
\(571\) −11.0051 19.0614i −0.460548 0.797693i 0.538440 0.842664i \(-0.319014\pi\)
−0.998988 + 0.0449706i \(0.985681\pi\)
\(572\) 2.27854 0.610532i 0.0952704 0.0255276i
\(573\) 14.7468 + 19.2633i 0.616057 + 0.804734i
\(574\) −1.04332 0.249051i −0.0435472 0.0103952i
\(575\) −1.50433 12.2440i −0.0627347 0.510612i
\(576\) 18.6521 18.5684i 0.777173 0.773683i
\(577\) 38.3331 + 10.2713i 1.59583 + 0.427601i 0.943779 0.330576i \(-0.107243\pi\)
0.652049 + 0.758177i \(0.273910\pi\)
\(578\) −12.4784 3.34359i −0.519034 0.139075i
\(579\) 10.0415 13.0559i 0.417311 0.542585i
\(580\) 0.281189 0.137158i 0.0116757 0.00569518i
\(581\) 9.77767 + 32.8527i 0.405646 + 1.36296i
\(582\) −17.4328 + 13.3455i −0.722614 + 0.553191i
\(583\) 7.26234 1.94594i 0.300775 0.0805925i
\(584\) 4.32721 + 7.49494i 0.179061 + 0.310143i
\(585\) 1.06940 14.8219i 0.0442142 0.612809i
\(586\) −17.0071 + 29.4572i −0.702559 + 1.21687i
\(587\) −2.66817 2.66817i −0.110127 0.110127i 0.649896 0.760023i \(-0.274812\pi\)
−0.760023 + 0.649896i \(0.774812\pi\)
\(588\) −2.15060 2.51059i −0.0886893 0.103535i
\(589\) 15.9656i 0.657851i
\(590\) 0.999213 + 1.14937i 0.0411369 + 0.0473190i
\(591\) 4.94719 + 11.9817i 0.203500 + 0.492861i
\(592\) −22.3339 5.98435i −0.917918 0.245955i
\(593\) 3.12571 + 11.6653i 0.128357 + 0.479037i 0.999937 0.0112174i \(-0.00357067\pi\)
−0.871580 + 0.490254i \(0.836904\pi\)
\(594\) 24.6065 + 10.2898i 1.00962 + 0.422196i
\(595\) 10.7183 + 11.6657i 0.439407 + 0.478248i
\(596\) 2.68092i 0.109815i
\(597\) −17.7295 + 2.31385i −0.725622 + 0.0946994i
\(598\) 1.85916 6.93849i 0.0760269 0.283736i
\(599\) 16.3639 + 28.3431i 0.668610 + 1.15807i 0.978293 + 0.207226i \(0.0664436\pi\)
−0.309683 + 0.950840i \(0.600223\pi\)
\(600\) −25.0503 + 6.45042i −1.02267 + 0.263337i
\(601\) −46.3697 −1.89146 −0.945729 0.324956i \(-0.894651\pi\)
−0.945729 + 0.324956i \(0.894651\pi\)
\(602\) −31.8785 + 19.5919i −1.29927 + 0.798508i
\(603\) −13.5279 23.5532i −0.550898 0.959161i
\(604\) 0.267071 + 0.154194i 0.0108670 + 0.00627406i
\(605\) 5.31730 7.88386i 0.216179 0.320525i
\(606\) 9.61866 3.97151i 0.390731 0.161331i
\(607\) 4.19997 + 15.6745i 0.170471 + 0.636208i 0.997279 + 0.0737227i \(0.0234880\pi\)
−0.826807 + 0.562485i \(0.809845\pi\)
\(608\) −2.01393 + 2.01393i −0.0816756 + 0.0816756i
\(609\) 1.82726 1.48019i 0.0740442 0.0599805i
\(610\) 4.88771 14.1967i 0.197898 0.574808i
\(611\) 10.1491 + 5.85957i 0.410588 + 0.237053i
\(612\) 1.09944 1.89443i 0.0444422 0.0765777i
\(613\) 3.56775 13.3150i 0.144100 0.537789i −0.855694 0.517483i \(-0.826869\pi\)
0.999794 0.0203066i \(-0.00646422\pi\)
\(614\) −17.9270 + 31.0504i −0.723473 + 1.25309i
\(615\) 0.534233 1.06859i 0.0215423 0.0430899i
\(616\) −22.4151 21.2161i −0.903130 0.854821i
\(617\) 10.5782 + 10.5782i 0.425862 + 0.425862i 0.887216 0.461354i \(-0.152636\pi\)
−0.461354 + 0.887216i \(0.652636\pi\)
\(618\) −22.8863 + 2.98684i −0.920620 + 0.120148i
\(619\) 25.0531 14.4644i 1.00697 0.581375i 0.0966677 0.995317i \(-0.469182\pi\)
0.910303 + 0.413942i \(0.135848\pi\)
\(620\) 4.33822 + 2.92593i 0.174227 + 0.117508i
\(621\) −10.1971 + 7.76998i −0.409196 + 0.311798i
\(622\) −23.5762 + 23.5762i −0.945321 + 0.945321i
\(623\) −15.7239 25.5847i −0.629965 1.02503i
\(624\) −12.8573 1.70742i −0.514704 0.0683514i
\(625\) 24.0326 + 6.88727i 0.961304 + 0.275491i
\(626\) −27.8792 + 16.0961i −1.11428 + 0.643329i
\(627\) −11.6200 4.82847i −0.464057 0.192831i
\(628\) −4.92972 + 1.32091i −0.196717 + 0.0527102i
\(629\) −18.3163 −0.730318
\(630\) −20.7005 + 10.7519i −0.824728 + 0.428364i
\(631\) −4.13783 −0.164724 −0.0823622 0.996602i \(-0.526246\pi\)
−0.0823622 + 0.996602i \(0.526246\pi\)
\(632\) −14.5769 + 3.90587i −0.579838 + 0.155367i
\(633\) 6.95126 + 2.88847i 0.276288 + 0.114806i
\(634\) −13.7171 + 7.91955i −0.544774 + 0.314526i
\(635\) 19.3879 16.8550i 0.769387 0.668870i
\(636\) 0.901234 + 0.119681i 0.0357362 + 0.00474568i
\(637\) −3.18478 + 15.1762i −0.126186 + 0.601304i
\(638\) 1.86249 1.86249i 0.0737369 0.0737369i
\(639\) −32.6884 + 32.5416i −1.29313 + 1.28733i
\(640\) 3.61369 + 18.5870i 0.142844 + 0.734717i
\(641\) −0.533980 + 0.308293i −0.0210909 + 0.0121769i −0.510508 0.859873i \(-0.670543\pi\)
0.489417 + 0.872050i \(0.337209\pi\)
\(642\) 3.99019 0.520752i 0.157480 0.0205525i
\(643\) −12.1411 12.1411i −0.478799 0.478799i 0.425949 0.904747i \(-0.359940\pi\)
−0.904747 + 0.425949i \(0.859940\pi\)
\(644\) 1.70585 0.507698i 0.0672200 0.0200061i
\(645\) −13.1809 39.5365i −0.518999 1.55675i
\(646\) 3.27337 5.66964i 0.128789 0.223069i
\(647\) 7.54222 28.1479i 0.296515 1.10661i −0.643492 0.765453i \(-0.722515\pi\)
0.940007 0.341156i \(-0.110818\pi\)
\(648\) 18.9229 + 19.0940i 0.743361 + 0.750082i
\(649\) −1.75277 1.01196i −0.0688024 0.0397231i
\(650\) 11.4721 + 8.96155i 0.449971 + 0.351501i
\(651\) 36.7212 + 14.0888i 1.43922 + 0.552185i
\(652\) −2.51151 + 2.51151i −0.0983581 + 0.0983581i
\(653\) −3.91588 14.6142i −0.153240 0.571900i −0.999250 0.0387320i \(-0.987668\pi\)
0.846010 0.533168i \(-0.178999\pi\)
\(654\) −11.3120 + 4.67067i −0.442334 + 0.182638i
\(655\) 8.14887 + 5.49603i 0.318403 + 0.214748i
\(656\) −0.903034 0.521367i −0.0352575 0.0203560i
\(657\) −7.53753 + 4.32921i −0.294067 + 0.168899i
\(658\) −0.505329 18.3885i −0.0196998 0.716859i
\(659\) 6.05597 0.235907 0.117954 0.993019i \(-0.462367\pi\)
0.117954 + 0.993019i \(0.462367\pi\)
\(660\) 3.44154 2.27253i 0.133962 0.0884580i
\(661\) −10.7793 18.6702i −0.419264 0.726187i 0.576601 0.817026i \(-0.304379\pi\)
−0.995866 + 0.0908385i \(0.971045\pi\)
\(662\) −3.31593 + 12.3752i −0.128877 + 0.480977i
\(663\) −10.1881 + 1.32964i −0.395675 + 0.0516388i
\(664\) 38.6968i 1.50173i
\(665\) 9.75481 5.09456i 0.378275 0.197559i
\(666\) 7.03878 26.0346i 0.272747 1.00882i
\(667\) 0.327681 + 1.22292i 0.0126878 + 0.0473517i
\(668\) 0.910324 + 0.243921i 0.0352215 + 0.00943757i
\(669\) 10.8037 + 26.1657i 0.417695 + 1.01162i
\(670\) 26.5431 + 1.85506i 1.02545 + 0.0716672i
\(671\) 19.9531i 0.770282i
\(672\) −2.85489 6.40927i −0.110130 0.247243i
\(673\) 14.8200 + 14.8200i 0.571271 + 0.571271i 0.932483 0.361213i \(-0.117637\pi\)
−0.361213 + 0.932483i \(0.617637\pi\)
\(674\) −9.84644 + 17.0545i −0.379271 + 0.656916i
\(675\) −6.42204 25.1745i −0.247185 0.968968i
\(676\) 1.10325 + 1.91089i 0.0424327 + 0.0734956i
\(677\) 0.205811 0.0551469i 0.00790997 0.00211947i −0.254862 0.966977i \(-0.582030\pi\)
0.262772 + 0.964858i \(0.415363\pi\)
\(678\) 20.0222 15.3278i 0.768948 0.588661i
\(679\) 7.27880 + 24.4566i 0.279335 + 0.938557i
\(680\) 7.84083 + 16.0745i 0.300682 + 0.616430i
\(681\) 15.0263 19.5371i 0.575810 0.748664i
\(682\) 42.5534 + 11.4022i 1.62945 + 0.436611i
\(683\) −37.2748 9.98776i −1.42628 0.382171i −0.538573 0.842579i \(-0.681037\pi\)
−0.887708 + 0.460408i \(0.847703\pi\)
\(684\) −1.07349 1.07833i −0.0410460 0.0412311i
\(685\) 4.84320 14.0674i 0.185049 0.537488i
\(686\) 22.9130 8.21416i 0.874823 0.313618i
\(687\) 18.9321 + 24.7304i 0.722305 + 0.943522i
\(688\) −35.1353 + 9.41447i −1.33952 + 0.358923i
\(689\) −2.13232 3.69329i −0.0812350 0.140703i
\(690\) −0.753061 12.5361i −0.0286685 0.477239i
\(691\) 10.7637 18.6432i 0.409469 0.709220i −0.585362 0.810772i \(-0.699047\pi\)
0.994830 + 0.101552i \(0.0323808\pi\)
\(692\) −1.84211 1.84211i −0.0700266 0.0700266i
\(693\) 21.3596 22.4653i 0.811385 0.853385i
\(694\) 28.3611i 1.07657i
\(695\) −1.92460 + 27.5381i −0.0730041 + 1.04458i
\(696\) 2.45385 1.01318i 0.0930129 0.0384046i
\(697\) −0.797873 0.213789i −0.0302216 0.00809785i
\(698\) −9.69855 36.1955i −0.367095 1.37002i
\(699\) −2.63840 + 19.8679i −0.0997934 + 0.751472i
\(700\) −0.403401 + 3.58426i −0.0152471 + 0.135472i
\(701\) 5.55742i 0.209901i 0.994477 + 0.104951i \(0.0334684\pi\)
−0.994477 + 0.104951i \(0.966532\pi\)
\(702\) 2.02528 14.9923i 0.0764393 0.565848i
\(703\) −3.29316 + 12.2903i −0.124204 + 0.463536i
\(704\) −17.1313 29.6724i −0.645662 1.11832i
\(705\) 20.0731 + 4.10664i 0.755996 + 0.154665i
\(706\) −16.1461 −0.607665
\(707\) −0.332246 12.0902i −0.0124954 0.454697i
\(708\) −0.148767 0.194329i −0.00559100 0.00730333i
\(709\) −33.7512 19.4863i −1.26755 0.731822i −0.293028 0.956104i \(-0.594663\pi\)
−0.974524 + 0.224282i \(0.927996\pi\)
\(710\) −8.62326 44.3538i −0.323625 1.66457i
\(711\) −3.89002 14.6495i −0.145887 0.549401i
\(712\) −8.77465 32.7475i −0.328844 1.22726i
\(713\) −14.9734 + 14.9734i −0.560758 + 0.560758i
\(714\) 10.1517 + 12.5320i 0.379918 + 0.468998i
\(715\) −18.2919 6.29763i −0.684078 0.235518i
\(716\) −2.54559 1.46969i −0.0951330 0.0549251i
\(717\) 38.4696 + 15.9854i 1.43667 + 0.596984i
\(718\) −1.63812 + 6.11354i −0.0611340 + 0.228155i
\(719\) 6.37639 11.0442i 0.237799 0.411881i −0.722283 0.691597i \(-0.756907\pi\)
0.960083 + 0.279717i \(0.0902406\pi\)
\(720\) −22.2690 + 4.27755i −0.829915 + 0.159415i
\(721\) −6.22844 + 26.0920i −0.231959 + 0.971716i
\(722\) 14.4417 + 14.4417i 0.537463 + 0.537463i
\(723\) 0.317070 + 2.42951i 0.0117920 + 0.0903543i
\(724\) 0.676831 0.390769i 0.0251542 0.0145228i
\(725\) −2.54082 0.356892i −0.0943637 0.0132546i
\(726\) 5.90204 7.67379i 0.219045 0.284801i
\(727\) 7.96907 7.96907i 0.295557 0.295557i −0.543714 0.839271i \(-0.682982\pi\)
0.839271 + 0.543714i \(0.182982\pi\)
\(728\) −8.33341 + 15.3957i −0.308857 + 0.570602i
\(729\) −19.2203 + 18.9626i −0.711864 + 0.702317i
\(730\) 0.593659 8.49437i 0.0219723 0.314391i
\(731\) −24.9544 + 14.4074i −0.922971 + 0.532877i
\(732\) −0.925826 + 2.22805i −0.0342195 + 0.0823510i
\(733\) −5.23810 + 1.40354i −0.193474 + 0.0518411i −0.354255 0.935149i \(-0.615265\pi\)
0.160781 + 0.986990i \(0.448599\pi\)
\(734\) 18.8337 0.695165
\(735\) 3.10946 + 26.9320i 0.114694 + 0.993401i
\(736\) 3.77754 0.139242
\(737\) −34.1549 + 9.15178i −1.25811 + 0.337110i
\(738\) 0.610493 1.05193i 0.0224726 0.0387221i
\(739\) −12.8892 + 7.44158i −0.474136 + 0.273743i −0.717970 0.696074i \(-0.754928\pi\)
0.243833 + 0.969817i \(0.421595\pi\)
\(740\) −2.73603 3.14720i −0.100578 0.115693i
\(741\) −0.939584 + 7.07532i −0.0345165 + 0.259918i
\(742\) −3.18657 + 5.88709i −0.116983 + 0.216122i
\(743\) −22.4301 + 22.4301i −0.822879 + 0.822879i −0.986520 0.163641i \(-0.947676\pi\)
0.163641 + 0.986520i \(0.447676\pi\)
\(744\) 35.1967 + 27.0704i 1.29037 + 0.992448i
\(745\) −12.2940 + 18.2281i −0.450416 + 0.667824i
\(746\) −1.32747 + 0.766412i −0.0486020 + 0.0280604i
\(747\) −38.8662 0.0874599i −1.42204 0.00319999i
\(748\) −2.01628 2.01628i −0.0737225 0.0737225i
\(749\) 1.08592 4.54911i 0.0396787 0.166221i
\(750\) 23.9826 + 8.51997i 0.875720 + 0.311105i
\(751\) 21.2065 36.7307i 0.773836 1.34032i −0.161610 0.986855i \(-0.551669\pi\)
0.935446 0.353469i \(-0.114998\pi\)
\(752\) 4.62839 17.2734i 0.168780 0.629895i
\(753\) 7.23724 17.4168i 0.263740 0.634703i
\(754\) −1.29387 0.747017i −0.0471200 0.0272047i
\(755\) −1.10878 2.27311i −0.0403525 0.0827268i
\(756\) 3.42749 1.51748i 0.124657 0.0551901i
\(757\) 13.4589 13.4589i 0.489171 0.489171i −0.418873 0.908045i \(-0.637575\pi\)
0.908045 + 0.418873i \(0.137575\pi\)
\(758\) −8.46132 31.5781i −0.307329 1.14697i
\(759\) 6.36943 + 15.4262i 0.231196 + 0.559937i
\(760\) 12.1958 2.37110i 0.442387 0.0860088i
\(761\) −29.3030 16.9181i