Properties

Label 105.2.x.a.2.4
Level 105
Weight 2
Character 105.2
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 2.4
Character \(\chi\) = 105.2
Dual form 105.2.x.a.53.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.340162 - 1.26950i) q^{2} +(-0.664627 + 1.59946i) q^{3} +(0.236127 - 0.136328i) q^{4} +(1.25032 + 1.85383i) q^{5} +(2.25660 + 0.299670i) q^{6} +(2.32676 + 1.25943i) q^{7} +(-2.11207 - 2.11207i) q^{8} +(-2.11654 - 2.12609i) q^{9} +O(q^{10})\) \(q+(-0.340162 - 1.26950i) q^{2} +(-0.664627 + 1.59946i) q^{3} +(0.236127 - 0.136328i) q^{4} +(1.25032 + 1.85383i) q^{5} +(2.25660 + 0.299670i) q^{6} +(2.32676 + 1.25943i) q^{7} +(-2.11207 - 2.11207i) q^{8} +(-2.11654 - 2.12609i) q^{9} +(1.92813 - 2.21789i) q^{10} +(3.38224 - 1.95274i) q^{11} +(0.0611145 + 0.468282i) q^{12} +(-1.56642 + 1.56642i) q^{13} +(0.807377 - 3.38224i) q^{14} +(-3.79613 + 0.767733i) q^{15} +(-1.69017 + 2.92747i) q^{16} +(-2.58656 - 0.693065i) q^{17} +(-1.97911 + 3.41017i) 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} +(-2.38315 + 0.638564i) q^{23} +(4.78191 - 1.97443i) q^{24} +(-1.87339 + 4.63578i) q^{25} +(2.52141 + 1.45574i) q^{26} +(4.80730 - 1.97227i) q^{27} +(0.721106 - 0.0198165i) q^{28} +0.513153 q^{29} +(2.26594 + 4.55804i) q^{30} +(-4.29138 - 7.43289i) q^{31} +(-1.47892 - 0.396276i) q^{32} +(0.875396 + 6.70760i) q^{33} +3.51939i q^{34} +(0.574425 + 5.88813i) q^{35} +(-0.789616 - 0.213483i) q^{36} +(-6.60698 + 1.77034i) q^{37} +(-0.632766 + 2.36152i) q^{38} +(-1.46434 - 3.54652i) q^{39} +(1.27465 - 6.55619i) q^{40} +0.308469i q^{41} +(4.87315 + 3.53930i) q^{42} +(7.60892 - 7.60892i) q^{43} +(0.532425 - 0.922186i) q^{44} +(1.29505 - 6.58201i) q^{45} +(1.62131 + 2.80820i) q^{46} +(-1.36920 - 5.10994i) q^{47} +(-3.55903 - 4.64904i) q^{48} +(3.82765 + 5.86081i) q^{49} +(6.52238 + 0.801352i) q^{50} +(2.82762 - 3.67646i) q^{51} +(-0.156327 + 0.583421i) q^{52} +(0.498259 - 1.85953i) q^{53} +(-4.13906 - 5.43199i) q^{54} +(7.84894 + 3.82855i) q^{55} +(-2.25427 - 7.57430i) q^{56} +(2.55835 - 1.95852i) q^{57} +(-0.174555 - 0.651448i) q^{58} +(0.259114 + 0.448799i) q^{59} +(-0.791703 + 0.698800i) q^{60} +(-2.55451 + 4.42454i) q^{61} +(-7.97631 + 7.97631i) q^{62} +(-2.24702 - 7.61255i) q^{63} +8.77299i q^{64} +(-4.86242 - 0.945351i) q^{65} +(8.21753 - 3.39299i) q^{66} +(2.34332 - 8.74539i) q^{67} +(-0.705238 + 0.188968i) q^{68} +(0.562551 - 4.23616i) q^{69} +(7.27959 - 2.73215i) q^{70} +15.3749i q^{71} +(-0.0201641 + 8.96073i) q^{72} +(2.79871 + 0.749913i) q^{73} +(4.49489 + 7.78538i) q^{74} +(-6.16963 - 6.07747i) q^{75} -0.507191 q^{76} +(10.3290 - 0.283848i) q^{77} +(-4.00420 + 3.06538i) q^{78} +(4.37551 + 2.52620i) q^{79} +(-7.54030 + 0.526980i) q^{80} +(-0.0405048 + 8.99991i) q^{81} +(0.391602 - 0.104930i) 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} +(-0.341055 + 0.820767i) q^{87} +(-11.2678 - 3.01921i) q^{88} +(-5.67519 + 9.82972i) q^{89} +(-8.79640 + 0.594879i) q^{90} +(-5.61750 + 1.67189i) q^{91} +(-0.475671 + 0.475671i) q^{92} +(14.7408 - 1.92379i) q^{93} +(-6.02133 + 3.47641i) q^{94} +(-0.289995 - 4.14939i) q^{95} +(1.61676 - 2.10210i) q^{96} +(-6.81964 - 6.81964i) q^{97} +(6.13829 - 6.85283i) 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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.340162 1.26950i −0.240531 0.897673i −0.975577 0.219656i \(-0.929506\pi\)
0.735046 0.678017i \(-0.237160\pi\)
\(3\) −0.664627 + 1.59946i −0.383723 + 0.923448i
\(4\) 0.236127 0.136328i 0.118063 0.0681639i
\(5\) 1.25032 + 1.85383i 0.559161 + 0.829059i
\(6\) 2.25660 + 0.299670i 0.921252 + 0.122340i
\(7\) 2.32676 + 1.25943i 0.879434 + 0.476021i
\(8\) −2.11207 2.11207i −0.746729 0.746729i
\(9\) −2.11654 2.12609i −0.705514 0.708696i
\(10\) 1.92813 2.21789i 0.609728 0.701358i
\(11\) 3.38224 1.95274i 1.01978 0.588773i 0.105743 0.994394i \(-0.466278\pi\)
0.914041 + 0.405621i \(0.132945\pi\)
\(12\) 0.0611145 + 0.468282i 0.0176422 + 0.135181i
\(13\) −1.56642 + 1.56642i −0.434448 + 0.434448i −0.890138 0.455691i \(-0.849392\pi\)
0.455691 + 0.890138i \(0.349392\pi\)
\(14\) 0.807377 3.38224i 0.215781 0.903942i
\(15\) −3.79613 + 0.767733i −0.980156 + 0.198228i
\(16\) −1.69017 + 2.92747i −0.422544 + 0.731867i
\(17\) −2.58656 0.693065i −0.627332 0.168093i −0.0688731 0.997625i \(-0.521940\pi\)
−0.558459 + 0.829532i \(0.688607\pi\)
\(18\) −1.97911 + 3.41017i −0.466480 + 0.803784i
\(19\) −1.61097 0.930096i −0.369582 0.213379i 0.303694 0.952770i \(-0.401780\pi\)
−0.673276 + 0.739391i \(0.735113\pi\)
\(20\) 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
\(23\) −2.38315 + 0.638564i −0.496921 + 0.133150i −0.498571 0.866849i \(-0.666142\pi\)
0.00164943 + 0.999999i \(0.499475\pi\)
\(24\) 4.78191 1.97443i 0.976103 0.403029i
\(25\) −1.87339 + 4.63578i −0.374677 + 0.927155i
\(26\) 2.52141 + 1.45574i 0.494490 + 0.285494i
\(27\) 4.80730 1.97227i 0.925166 0.379563i
\(28\) 0.721106 0.0198165i 0.136276 0.00374496i
\(29\) 0.513153 0.0952901 0.0476450 0.998864i \(-0.484828\pi\)
0.0476450 + 0.998864i \(0.484828\pi\)
\(30\) 2.26594 + 4.55804i 0.413702 + 0.832180i
\(31\) −4.29138 7.43289i −0.770755 1.33499i −0.937150 0.348928i \(-0.886546\pi\)
0.166394 0.986059i \(-0.446788\pi\)
\(32\) −1.47892 0.396276i −0.261439 0.0700524i
\(33\) 0.875396 + 6.70760i 0.152387 + 1.16764i
\(34\) 3.51939i 0.603570i
\(35\) 0.574425 + 5.88813i 0.0970956 + 0.995275i
\(36\) −0.789616 0.213483i −0.131603 0.0355804i
\(37\) −6.60698 + 1.77034i −1.08618 + 0.291041i −0.757126 0.653269i \(-0.773397\pi\)
−0.329056 + 0.944311i \(0.606730\pi\)
\(38\) −0.632766 + 2.36152i −0.102648 + 0.383088i
\(39\) −1.46434 3.54652i −0.234483 0.567897i
\(40\) 1.27465 6.55619i 0.201540 1.03662i
\(41\) 0.308469i 0.0481748i 0.999710 + 0.0240874i \(0.00766800\pi\)
−0.999710 + 0.0240874i \(0.992332\pi\)
\(42\) 4.87315 + 3.53930i 0.751944 + 0.546125i
\(43\) 7.60892 7.60892i 1.16035 1.16035i 0.175950 0.984399i \(-0.443700\pi\)
0.984399 0.175950i \(-0.0562999\pi\)
\(44\) 0.532425 0.922186i 0.0802660 0.139025i
\(45\) 1.29505 6.58201i 0.193055 0.981188i
\(46\) 1.62131 + 2.80820i 0.239050 + 0.414046i
\(47\) −1.36920 5.10994i −0.199719 0.745361i −0.990995 0.133902i \(-0.957249\pi\)
0.791276 0.611460i \(-0.209417\pi\)
\(48\) −3.55903 4.64904i −0.513702 0.671031i
\(49\) 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
\(52\) −0.156327 + 0.583421i −0.0216787 + 0.0809059i
\(53\) 0.498259 1.85953i 0.0684411 0.255426i −0.923225 0.384260i \(-0.874457\pi\)
0.991666 + 0.128834i \(0.0411234\pi\)
\(54\) −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
\(57\) 2.55835 1.95852i 0.338861 0.259412i
\(58\) −0.174555 0.651448i −0.0229202 0.0855393i
\(59\) 0.259114 + 0.448799i 0.0337338 + 0.0584287i 0.882399 0.470501i \(-0.155927\pi\)
−0.848666 + 0.528930i \(0.822593\pi\)
\(60\) −0.791703 + 0.698800i −0.102208 + 0.0902146i
\(61\) −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
\(63\) −2.24702 7.61255i −0.283098 0.959091i
\(64\) 8.77299i 1.09662i
\(65\) −4.86242 0.945351i −0.603109 0.117256i
\(66\) 8.21753 3.39299i 1.01151 0.417648i
\(67\) 2.34332 8.74539i 0.286282 1.06842i −0.661615 0.749844i \(-0.730129\pi\)
0.947897 0.318576i \(-0.103205\pi\)
\(68\) −0.705238 + 0.188968i −0.0855227 + 0.0229157i
\(69\) 0.562551 4.23616i 0.0677232 0.509974i
\(70\) 7.27959 2.73215i 0.870077 0.326554i
\(71\) 15.3749i 1.82467i 0.409448 + 0.912333i \(0.365721\pi\)
−0.409448 + 0.912333i \(0.634279\pi\)
\(72\) −0.0201641 + 8.96073i −0.00237637 + 1.05603i
\(73\) 2.79871 + 0.749913i 0.327565 + 0.0877707i 0.418854 0.908054i \(-0.362432\pi\)
−0.0912890 + 0.995824i \(0.529099\pi\)
\(74\) 4.49489 + 7.78538i 0.522520 + 0.905032i
\(75\) −6.16963 6.07747i −0.712408 0.701766i
\(76\) −0.507191 −0.0581788
\(77\) 10.3290 0.283848i 1.17710 0.0323475i
\(78\) −4.00420 + 3.06538i −0.453386 + 0.347086i
\(79\) 4.37551 + 2.52620i 0.492284 + 0.284220i 0.725521 0.688200i \(-0.241599\pi\)
−0.233238 + 0.972420i \(0.574932\pi\)
\(80\) −7.54030 + 0.526980i −0.843031 + 0.0589182i
\(81\) −0.0405048 + 8.99991i −0.00450054 + 0.999990i
\(82\) 0.391602 0.104930i 0.0432452 0.0115875i
\(83\) 9.16088 + 9.16088i 1.00554 + 1.00554i 0.999985 + 0.00555287i \(0.00176754\pi\)
0.00555287 + 0.999985i \(0.498232\pi\)
\(84\) −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
\(87\) −0.341055 + 0.820767i −0.0365650 + 0.0879955i
\(88\) −11.2678 3.01921i −1.20116 0.321849i
\(89\) −5.67519 + 9.82972i −0.601569 + 1.04195i 0.391014 + 0.920385i \(0.372124\pi\)
−0.992584 + 0.121564i \(0.961209\pi\)
\(90\) −8.79640 + 0.594879i −0.927222 + 0.0627058i
\(91\) −5.61750 + 1.67189i −0.588874 + 0.175262i
\(92\) −0.475671 + 0.475671i −0.0495922 + 0.0495922i
\(93\) 14.7408 1.92379i 1.52855 0.199488i
\(94\) −6.02133 + 3.47641i −0.621052 + 0.358565i
\(95\) −0.289995 4.14939i −0.0297528 0.425719i
\(96\) 1.61676 2.10210i 0.165010 0.214545i
\(97\) −6.81964 6.81964i −0.692430 0.692430i 0.270336 0.962766i \(-0.412865\pi\)
−0.962766 + 0.270336i \(0.912865\pi\)
\(98\) 6.13829 6.85283i 0.620060 0.692241i
\(99\) −11.3103 3.05789i −1.13673 0.307330i
\(100\) 0.189629 + 1.35002i 0.0189629 + 0.135002i
\(101\) 3.95893 2.28569i 0.393928 0.227434i −0.289933 0.957047i \(-0.593633\pi\)
0.683861 + 0.729613i \(0.260300\pi\)
\(102\) −5.62912 2.33908i −0.557366 0.231604i
\(103\) 2.62415 + 9.79345i 0.258565 + 0.964978i 0.966072 + 0.258272i \(0.0831529\pi\)
−0.707507 + 0.706706i \(0.750180\pi\)
\(104\) 6.61679 0.648829
\(105\) −9.79960 2.99464i −0.956343 0.292247i
\(106\) −2.53016 −0.245751
\(107\) 0.457517 + 1.70748i 0.0442299 + 0.165068i 0.984508 0.175338i \(-0.0561020\pi\)
−0.940278 + 0.340407i \(0.889435\pi\)
\(108\) 0.866257 1.12107i 0.0833556 0.107875i
\(109\) 4.65588 2.68808i 0.445953 0.257471i −0.260167 0.965564i \(-0.583778\pi\)
0.706119 + 0.708093i \(0.250444\pi\)
\(110\) 2.19045 11.2666i 0.208851 1.07423i
\(111\) 1.55960 11.7442i 0.148031 1.11471i
\(112\) −7.61959 + 4.68286i −0.719983 + 0.442489i
\(113\) −7.83259 7.83259i −0.736828 0.736828i 0.235134 0.971963i \(-0.424447\pi\)
−0.971963 + 0.235134i \(0.924447\pi\)
\(114\) −3.35660 2.58161i −0.314374 0.241790i
\(115\) −4.16350 3.61955i −0.388248 0.337525i
\(116\) 0.121169 0.0699569i 0.0112503 0.00649534i
\(117\) 6.64575 + 0.0149548i 0.614400 + 0.00138257i
\(118\) 0.481611 0.481611i 0.0443358 0.0443358i
\(119\) −5.14543 4.87019i −0.471681 0.446450i
\(120\) 9.63919 + 6.39618i 0.879934 + 0.583888i
\(121\) 2.12637 3.68298i 0.193306 0.334816i
\(122\) 6.48590 + 1.73789i 0.587206 + 0.157341i
\(123\) −0.493384 0.205017i −0.0444869 0.0184858i
\(124\) −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 0.968785 0.247902i \(-0.0797413\pi\)
−0.247902 + 0.968785i \(0.579741\pi\)
\(128\) 8.17948 2.19168i 0.722971 0.193719i
\(129\) 7.11306 + 17.2273i 0.626270 + 1.51678i
\(130\) 0.453885 + 6.49442i 0.0398084 + 0.569599i
\(131\) 3.80678 + 2.19784i 0.332600 + 0.192027i 0.656995 0.753895i \(-0.271827\pi\)
−0.324395 + 0.945922i \(0.605161\pi\)
\(132\) 1.12114 + 1.46450i 0.0975823 + 0.127468i
\(133\) −2.57696 4.19303i −0.223451 0.363581i
\(134\) −11.8994 −1.02795
\(135\) 9.66693 + 6.44596i 0.831997 + 0.554780i
\(136\) 3.99918 + 6.92678i 0.342927 + 0.593967i
\(137\) 6.42684 + 1.72207i 0.549082 + 0.147126i 0.522686 0.852526i \(-0.324930\pi\)
0.0263963 + 0.999652i \(0.491597\pi\)
\(138\) −5.56917 + 0.726822i −0.474079 + 0.0618712i
\(139\) 12.3455i 1.04713i −0.851987 0.523564i \(-0.824602\pi\)
0.851987 0.523564i \(-0.175398\pi\)
\(140\) 0.938352 + 1.31203i 0.0793052 + 0.110887i
\(141\) 9.08315 + 1.20622i 0.764939 + 0.101582i
\(142\) 19.5185 5.22996i 1.63795 0.438889i
\(143\) −2.23921 + 8.35683i −0.187252 + 0.698834i
\(144\) 9.80138 2.60265i 0.816782 0.216887i
\(145\) 0.641606 + 0.951299i 0.0532825 + 0.0790011i
\(146\) 3.80806i 0.315158i
\(147\) −11.9181 + 2.22692i −0.982987 + 0.183673i
\(148\) −1.31874 + 1.31874i −0.108400 + 0.108400i
\(149\) 4.91632 8.51531i 0.402761 0.697602i −0.591297 0.806454i \(-0.701384\pi\)
0.994058 + 0.108852i \(0.0347174\pi\)
\(150\) −5.61668 + 9.89968i −0.458600 + 0.808306i
\(151\) −0.565526 0.979520i −0.0460219 0.0797122i 0.842097 0.539326i \(-0.181321\pi\)
−0.888119 + 0.459614i \(0.847988\pi\)
\(152\) 1.43806 + 5.36691i 0.116642 + 0.435314i
\(153\) 4.00103 + 6.96615i 0.323464 + 0.563180i
\(154\) −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
\(157\) −4.84463 + 18.0804i −0.386643 + 1.44297i 0.448916 + 0.893574i \(0.351810\pi\)
−0.835560 + 0.549399i \(0.814857\pi\)
\(158\) 1.71864 6.41404i 0.136727 0.510274i
\(159\) 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
\(162\) 11.4392 3.01001i 0.898747 0.236488i
\(163\) −3.37156 12.5828i −0.264081 0.985564i −0.962810 0.270178i \(-0.912917\pi\)
0.698729 0.715386i \(-0.253749\pi\)
\(164\) 0.0420529 + 0.0728378i 0.00328378 + 0.00568767i
\(165\) −11.3402 + 10.0095i −0.882836 + 0.779239i
\(166\) 8.51357 14.7459i 0.660781 1.14451i
\(167\) 2.44412 2.44412i 0.189132 0.189132i −0.606189 0.795321i \(-0.707302\pi\)
0.795321 + 0.606189i \(0.207302\pi\)
\(168\) 13.6130 + 1.42847i 1.05027 + 0.110208i
\(169\) 8.09264i 0.622510i
\(170\) −6.52436 + 4.40037i −0.500395 + 0.337493i
\(171\) 1.43223 + 5.39366i 0.109525 + 0.412463i
\(172\) 0.759361 2.83397i 0.0579007 0.216089i
\(173\) 9.22913 2.47294i 0.701678 0.188014i 0.109696 0.993965i \(-0.465012\pi\)
0.591982 + 0.805951i \(0.298346\pi\)
\(174\) 1.15798 + 0.153776i 0.0877862 + 0.0116578i
\(175\) −10.1974 + 8.42695i −0.770850 + 0.637017i
\(176\) 13.2019i 0.995128i
\(177\) −0.890051 + 0.116159i −0.0669003 + 0.00873103i
\(178\) 14.4093 + 3.86097i 1.08003 + 0.289392i
\(179\) −5.39030 9.33627i −0.402890 0.697826i 0.591183 0.806537i \(-0.298661\pi\)
−0.994073 + 0.108711i \(0.965328\pi\)
\(180\) −0.591514 1.73074i −0.0440889 0.129002i
\(181\) −2.86639 −0.213057 −0.106529 0.994310i \(-0.533974\pi\)
−0.106529 + 0.994310i \(0.533974\pi\)
\(182\) 4.03333 + 6.56272i 0.298970 + 0.486461i
\(183\) −5.37907 7.02650i −0.397633 0.519414i
\(184\) 6.38207 + 3.68469i 0.470492 + 0.271639i
\(185\) −11.5428 10.0347i −0.848641 0.737769i
\(186\) −7.45651 18.0591i −0.546738 1.32415i
\(187\) −10.1017 + 2.70675i −0.738711 + 0.197937i
\(188\) −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 \(0.835815\pi\)
\(192\) −14.0320 5.83077i −1.01268 0.420799i
\(193\) 9.18541 + 2.46122i 0.661180 + 0.177163i 0.573779 0.819010i \(-0.305477\pi\)
0.0874017 + 0.996173i \(0.472144\pi\)
\(194\) −6.33776 + 10.9773i −0.455025 + 0.788126i
\(195\) 4.74375 7.14894i 0.339707 0.511946i
\(196\) 1.70280 + 0.862077i 0.121629 + 0.0615770i
\(197\) 5.29206 5.29206i 0.377044 0.377044i −0.492991 0.870035i \(-0.664096\pi\)
0.870035 + 0.492991i \(0.164096\pi\)
\(198\) −0.0346513 + 15.3987i −0.00246256 + 1.09434i
\(199\) −8.93994 + 5.16148i −0.633736 + 0.365888i −0.782197 0.623031i \(-0.785901\pi\)
0.148462 + 0.988918i \(0.452568\pi\)
\(200\) 13.7478 5.83436i 0.972116 0.412551i
\(201\) 12.4305 + 9.56047i 0.876778 + 0.674344i
\(202\) −4.24836 4.24836i −0.298914 0.298914i
\(203\) 1.19398 + 0.646282i 0.0838013 + 0.0453601i
\(204\) 0.166474 1.25359i 0.0116555 0.0877691i
\(205\) −0.571850 + 0.385686i −0.0399398 + 0.0269375i
\(206\) 11.5402 6.66272i 0.804042 0.464214i
\(207\) 6.40168 + 3.71524i 0.444948 + 0.258227i
\(208\) −1.93813 7.23318i −0.134385 0.501531i
\(209\) −7.26493 −0.502526
\(210\) −0.468249 + 13.4593i −0.0323122 + 0.928778i
\(211\) −4.34600 −0.299191 −0.149596 0.988747i \(-0.547797\pi\)
−0.149596 + 0.988747i \(0.547797\pi\)
\(212\) −0.135853 0.507010i −0.00933042 0.0348216i
\(213\) −24.5916 10.2186i −1.68499 0.700166i
\(214\) 2.01202 1.16164i 0.137539 0.0794079i
\(215\) 23.6193 + 4.59205i 1.61082 + 0.313176i
\(216\) −14.3189 5.98779i −0.974279 0.407418i
\(217\) −0.623792 22.6993i −0.0423458 1.54093i
\(218\) −4.99627 4.99627i −0.338390 0.338390i
\(219\) −3.05956 + 3.97802i −0.206746 + 0.268809i
\(220\) 2.37528 0.166005i 0.160141 0.0111920i
\(221\) 5.13727 2.96601i 0.345570 0.199515i
\(222\) −15.4398 + 2.01502i −1.03625 + 0.135239i
\(223\) −11.5568 + 11.5568i −0.773903 + 0.773903i −0.978786 0.204883i \(-0.934318\pi\)
0.204883 + 0.978786i \(0.434318\pi\)
\(224\) −2.94202 2.78464i −0.196572 0.186057i
\(225\) 13.8212 5.82883i 0.921411 0.388588i
\(226\) −7.27914 + 12.6078i −0.484201 + 0.838661i
\(227\) −13.7452 3.68303i −0.912304 0.244451i −0.228011 0.973658i \(-0.573222\pi\)
−0.684293 + 0.729207i \(0.739889\pi\)
\(228\) 0.337093 0.811232i 0.0223245 0.0537251i
\(229\) 15.5725 + 8.99081i 1.02906 + 0.594129i 0.916716 0.399540i \(-0.130830\pi\)
0.112346 + 0.993669i \(0.464163\pi\)
\(230\) −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
\(233\) −11.1771 + 2.99490i −0.732239 + 0.196203i −0.605626 0.795750i \(-0.707077\pi\)
−0.126613 + 0.991952i \(0.540411\pi\)
\(234\) −2.24165 8.44188i −0.146541 0.551863i
\(235\) 7.76102 8.92735i 0.506273 0.582356i
\(236\) 0.122368 + 0.0706489i 0.00796545 + 0.00459885i
\(237\) −6.94865 + 5.31947i −0.451363 + 0.345537i
\(238\) −4.43244 + 8.18879i −0.287312 + 0.530800i
\(239\) 24.0516 1.55577 0.777885 0.628407i \(-0.216293\pi\)
0.777885 + 0.628407i \(0.216293\pi\)
\(240\) 4.16860 12.4106i 0.269082 0.801104i
\(241\) −0.707286 1.22506i −0.0455603 0.0789127i 0.842346 0.538937i \(-0.181174\pi\)
−0.887906 + 0.460024i \(0.847841\pi\)
\(242\) −5.39886 1.44662i −0.347052 0.0929922i
\(243\) −14.3681 6.04637i −0.921712 0.387875i
\(244\) 1.39300i 0.0891778i
\(245\) −6.07916 + 14.4237i −0.388383 + 0.921498i
\(246\) −0.0924390 + 0.696091i −0.00589370 + 0.0443811i
\(247\) 3.98039 1.06654i 0.253266 0.0678624i
\(248\) −6.63509 + 24.7625i −0.421329 + 1.57242i
\(249\) −20.7410 + 8.56389i −1.31441 + 0.542714i
\(250\) 6.66951 + 13.0933i 0.421817 + 0.828096i
\(251\) 10.8892i 0.687318i 0.939094 + 0.343659i \(0.111666\pi\)
−0.939094 + 0.343659i \(0.888334\pi\)
\(252\) −1.56838 1.49119i −0.0987988 0.0939363i
\(253\) −6.81345 + 6.81345i −0.428358 + 0.428358i
\(254\) 7.54989 13.0768i 0.473722 0.820511i
\(255\) 10.3510 + 0.645180i 0.648204 + 0.0404027i
\(256\) 3.20829 + 5.55693i 0.200518 + 0.347308i
\(257\) −5.13930 19.1801i −0.320581 1.19642i −0.918680 0.395002i \(-0.870744\pi\)
0.598100 0.801422i \(-0.295923\pi\)
\(258\) 19.4504 14.8901i 1.21093 0.927017i
\(259\) −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
\(262\) 1.49525 5.58033i 0.0923766 0.344754i
\(263\) −6.78641 + 25.3272i −0.418468 + 1.56174i 0.359318 + 0.933215i \(0.383009\pi\)
−0.777786 + 0.628529i \(0.783657\pi\)
\(264\) 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
\(267\) −11.9504 15.6103i −0.731350 0.955337i
\(268\) −0.638919 2.38448i −0.0390282 0.145655i
\(269\) −0.241071 0.417547i −0.0146984 0.0254583i 0.858583 0.512675i \(-0.171345\pi\)
−0.873281 + 0.487217i \(0.838012\pi\)
\(270\) 4.89484 14.4649i 0.297890 0.880303i
\(271\) −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
\(273\) 1.05943 10.0962i 0.0641194 0.611047i
\(274\) 8.74466i 0.528284i
\(275\) 2.71621 + 19.3375i 0.163794 + 1.16610i
\(276\) −0.444673 1.07696i −0.0267662 0.0648254i
\(277\) −3.50963 + 13.0981i −0.210873 + 0.786989i 0.776706 + 0.629864i \(0.216889\pi\)
−0.987579 + 0.157125i \(0.949777\pi\)
\(278\) −15.6726 + 4.19945i −0.939978 + 0.251866i
\(279\) −6.72010 + 24.8559i −0.402322 + 1.48808i
\(280\) 11.2229 13.6494i 0.670697 0.815705i
\(281\) 12.2359i 0.729932i 0.931021 + 0.364966i \(0.118919\pi\)
−0.931021 + 0.364966i \(0.881081\pi\)
\(282\) −1.55845 11.9414i −0.0928041 0.711099i
\(283\) 19.7700 + 5.29737i 1.17521 + 0.314896i 0.793024 0.609191i \(-0.208506\pi\)
0.382184 + 0.924086i \(0.375172\pi\)
\(284\) 2.09603 + 3.63043i 0.124376 + 0.215426i
\(285\) 6.82952 + 2.29396i 0.404546 + 0.135883i
\(286\) 11.3707 0.672364
\(287\) −0.388497 + 0.717735i −0.0229322 + 0.0423666i
\(288\) 2.28768 + 3.98305i 0.134803 + 0.234704i
\(289\) −8.51250 4.91470i −0.500736 0.289100i
\(290\) 0.989425 1.13812i 0.0581011 0.0668325i
\(291\) 15.4403 6.37522i 0.905124 0.373722i
\(292\) 0.763084 0.204468i 0.0446561 0.0119656i
\(293\) −18.3002 18.3002i −1.06911 1.06911i −0.997427 0.0716843i \(-0.977163\pi\)
−0.0716843 0.997427i \(-0.522837\pi\)
\(294\) 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
\(297\) 12.4081 16.0581i 0.719993 0.931784i
\(298\) −12.4825 3.34469i −0.723095 0.193753i
\(299\) 2.73276 4.73328i 0.158040 0.273733i
\(300\) −2.28534 0.593960i −0.131944 0.0342923i
\(301\) 27.2871 8.12122i 1.57280 0.468099i
\(302\) −1.05113 + 1.05113i −0.0604858 + 0.0604858i
\(303\) 1.02465 + 7.85127i 0.0588649 + 0.451044i
\(304\) 5.44565 3.14405i 0.312329 0.180323i
\(305\) −11.3963 + 0.796471i −0.652551 + 0.0456058i
\(306\) 7.48254 7.44894i 0.427748 0.425827i
\(307\) 19.2900 + 19.2900i 1.10094 + 1.10094i 0.994298 + 0.106640i \(0.0340093\pi\)
0.106640 + 0.994298i \(0.465991\pi\)
\(308\) 2.40026 1.47516i 0.136767 0.0840548i
\(309\) −17.4083 2.31178i −0.990324 0.131512i
\(310\) −24.7597 4.81378i −1.40626 0.273404i
\(311\) 21.9700 12.6844i 1.24581 0.719266i 0.275536 0.961291i \(-0.411145\pi\)
0.970270 + 0.242025i \(0.0778115\pi\)
\(312\) −4.39770 + 10.5833i −0.248971 + 0.599160i
\(313\) −6.33953 23.6594i −0.358331 1.33731i −0.876240 0.481875i \(-0.839956\pi\)
0.517909 0.855436i \(-0.326711\pi\)
\(314\) 24.6011 1.38832
\(315\) 11.3029 13.6837i 0.636845 0.770992i
\(316\) 1.37757 0.0774942
\(317\) 3.11916 + 11.6409i 0.175189 + 0.653815i 0.996519 + 0.0833621i \(0.0265658\pi\)
−0.821330 + 0.570453i \(0.806768\pi\)
\(318\) 1.68161 4.04689i 0.0943002 0.226938i
\(319\) 1.73561 1.00205i 0.0971753 0.0561042i
\(320\) −16.2636 + 10.9691i −0.909165 + 0.613189i
\(321\) −3.03512 0.403056i −0.169404 0.0224964i
\(322\) 0.235673 + 8.57595i 0.0131335 + 0.477919i
\(323\) 3.52225 + 3.52225i 0.195983 + 0.195983i
\(324\) 1.21737 + 2.13064i 0.0676318 + 0.118369i
\(325\) −4.32707 10.1961i −0.240023 0.565578i
\(326\) −14.8271 + 8.56041i −0.821195 + 0.474117i
\(327\) 1.20504 + 9.23346i 0.0666389 + 0.510612i
\(328\) 0.651508 0.651508i 0.0359735 0.0359735i
\(329\) 3.24982 13.6140i 0.179168 0.750566i
\(330\) 16.5646 + 10.9916i 0.911851 + 0.605068i
\(331\) 4.87405 8.44210i 0.267902 0.464020i −0.700418 0.713733i \(-0.747003\pi\)
0.968320 + 0.249713i \(0.0803364\pi\)
\(332\) 3.41201 + 0.914245i 0.187258 + 0.0501757i
\(333\) 17.7478 + 10.3000i 0.972576 + 0.564439i
\(334\) −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 0.934117 0.356966i \(-0.116189\pi\)
−0.356966 + 0.934117i \(0.616189\pi\)
\(338\) 10.2736 2.75281i 0.558811 0.149733i
\(339\) 17.7337 7.32216i 0.963161 0.397685i
\(340\) −1.23209 1.07112i −0.0668195 0.0580898i
\(341\) −29.0290 16.7599i −1.57201 0.907599i
\(342\) 6.36007 3.65293i 0.343913 0.197528i
\(343\) 1.52474 + 18.4574i 0.0823280 + 0.996605i
\(344\) −32.1411 −1.73293
\(345\) 8.55650 4.25369i 0.460667 0.229011i
\(346\) −6.27880 10.8752i −0.337550 0.584654i
\(347\) −20.8438 5.58508i −1.11895 0.299823i −0.348494 0.937311i \(-0.613307\pi\)
−0.770460 + 0.637488i \(0.779973\pi\)
\(348\) 0.0313611 + 0.240300i 0.00168113 + 0.0128814i
\(349\) 28.5116i 1.52619i −0.646287 0.763094i \(-0.723679\pi\)
0.646287 0.763094i \(-0.276321\pi\)
\(350\) 14.1668 + 10.0791i 0.757246 + 0.538749i
\(351\) −4.44087 + 10.6197i −0.237036 + 0.566836i
\(352\) −5.77589 + 1.54765i −0.307856 + 0.0824898i
\(353\) 3.17961 11.8664i 0.169233 0.631587i −0.828229 0.560390i \(-0.810651\pi\)
0.997462 0.0711974i \(-0.0226820\pi\)
\(354\) 0.450225 + 1.09041i 0.0239292 + 0.0579545i
\(355\) −28.5025 + 19.2236i −1.51276 + 1.02028i
\(356\) 3.09474i 0.164021i
\(357\) 11.2095 4.99304i 0.593268 0.264260i
\(358\) −10.0188 + 10.0188i −0.529512 + 0.529512i
\(359\) −2.40785 + 4.17052i −0.127081 + 0.220112i −0.922545 0.385890i \(-0.873894\pi\)
0.795463 + 0.606002i \(0.207228\pi\)
\(360\) −16.6369 + 11.1664i −0.876841 + 0.588522i
\(361\) −7.76984 13.4578i −0.408939 0.708303i
\(362\) 0.975037 + 3.63889i 0.0512468 + 0.191256i
\(363\) 4.47753 + 5.84885i 0.235010 + 0.306985i
\(364\) −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
\(367\) 3.70888 13.8417i 0.193602 0.722532i −0.799022 0.601301i \(-0.794649\pi\)
0.992624 0.121231i \(-0.0386841\pi\)
\(368\) 2.15857 8.05588i 0.112523 0.419942i
\(369\) 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
\(372\) 3.21842 2.46384i 0.166868 0.127744i
\(373\) −0.301856 1.12654i −0.0156295 0.0583301i 0.957671 0.287866i \(-0.0929458\pi\)
−0.973300 + 0.229536i \(0.926279\pi\)
\(374\) 6.87245 + 11.9034i 0.355366 + 0.615512i
\(375\) 3.55257 19.0363i 0.183454 0.983028i
\(376\) −7.90069 + 13.6844i −0.407447 + 0.705719i
\(377\) −0.803814 + 0.803814i −0.0413985 + 0.0413985i
\(378\) −2.78937 17.8518i −0.143470 0.918199i
\(379\) 24.8744i 1.27771i −0.769326 0.638856i \(-0.779408\pi\)
0.769326 0.638856i \(-0.220592\pi\)
\(380\) −0.634153 0.940247i −0.0325313 0.0482337i
\(381\) −18.3933 + 7.59452i −0.942317 + 0.389079i
\(382\) −4.76446 + 17.7812i −0.243771 + 0.909766i
\(383\) 1.71779 0.460280i 0.0877749 0.0235192i −0.214664 0.976688i \(-0.568866\pi\)
0.302439 + 0.953169i \(0.402199\pi\)
\(384\) −1.93079 + 14.5394i −0.0985304 + 0.741961i
\(385\) 13.4408 + 18.7934i 0.685007 + 0.957798i
\(386\) 12.4981i 0.636137i
\(387\) −32.2818 0.0726432i −1.64098 0.00369266i
\(388\) −2.54000 0.680592i −0.128949 0.0345518i
\(389\) 12.9155 + 22.3704i 0.654843 + 1.13422i 0.981933 + 0.189229i \(0.0605988\pi\)
−0.327090 + 0.944993i \(0.606068\pi\)
\(390\) −10.6892 3.59040i −0.541270 0.181807i
\(391\) 6.60672 0.334116
\(392\) 4.29417 20.4627i 0.216888 1.03352i
\(393\) −6.04545 + 4.62804i −0.304953 + 0.233454i
\(394\) −8.51844 4.91812i −0.429153 0.247772i
\(395\) 0.787646 + 11.2700i 0.0396308 + 0.567057i
\(396\) −3.08755 + 0.819864i −0.155155 + 0.0411997i
\(397\) 22.9598 6.15207i 1.15232 0.308763i 0.368426 0.929657i \(-0.379897\pi\)
0.783895 + 0.620894i \(0.213230\pi\)
\(398\) 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 \(0.602526\pi\)
\(402\) 7.90867 19.0326i 0.394448 0.949260i
\(403\) 18.3652 + 4.92094i 0.914835 + 0.245129i
\(404\) 0.623205 1.07942i 0.0310056 0.0537033i
\(405\) −16.7350 + 11.1777i −0.831567 + 0.555424i
\(406\) 0.414308 1.73561i 0.0205618 0.0861367i
\(407\) −18.8894 + 18.8894i −0.936313 + 0.936313i
\(408\) −13.7371 + 1.79280i −0.680087 + 0.0887568i
\(409\) 13.0923 7.55884i 0.647372 0.373761i −0.140076 0.990141i \(-0.544735\pi\)
0.787449 + 0.616380i \(0.211401\pi\)
\(410\) 0.684151 + 0.594769i 0.0337878 + 0.0293735i
\(411\) −7.02583 + 9.13494i −0.346559 + 0.450593i
\(412\) 1.95475 + 1.95475i 0.0963036 + 0.0963036i
\(413\) 0.0376647 + 1.37059i 0.00185336 + 0.0674422i
\(414\) 2.53890 9.39073i 0.124780 0.461529i
\(415\) −5.52868 + 28.4368i −0.271392 + 1.39591i
\(416\) 2.93735 1.69588i 0.144016 0.0831475i
\(417\) 19.7460 + 8.20512i 0.966968 + 0.401807i
\(418\) 2.47125 + 9.22284i 0.120873 + 0.451104i
\(419\) −26.4645 −1.29287 −0.646437 0.762967i \(-0.723742\pi\)
−0.646437 + 0.762967i \(0.723742\pi\)
\(420\) −2.72220 + 0.628843i −0.132830 + 0.0306844i
\(421\) −10.4834 −0.510929 −0.255464 0.966818i \(-0.582228\pi\)
−0.255464 + 0.966818i \(0.582228\pi\)
\(422\) 1.47835 + 5.51726i 0.0719647 + 0.268576i
\(423\) −7.96621 + 13.7264i −0.387330 + 0.667403i
\(424\) −4.97981 + 2.87509i −0.241841 + 0.139627i
\(425\) 8.05851 10.6923i 0.390895 0.518653i
\(426\) −4.60740 + 34.6950i −0.223229 + 1.68098i
\(427\) −11.5161 + 7.07762i −0.557306 + 0.342510i
\(428\) 0.340809 + 0.340809i 0.0164736 + 0.0164736i
\(429\) −11.8782 9.13570i −0.573484 0.441076i
\(430\) −2.20475 31.5467i −0.106323 1.52132i
\(431\) 4.95598 2.86134i 0.238721 0.137826i −0.375868 0.926673i \(-0.622655\pi\)
0.614589 + 0.788848i \(0.289322\pi\)
\(432\) −2.35144 + 17.4067i −0.113133 + 0.837480i
\(433\) −0.977454 + 0.977454i −0.0469735 + 0.0469735i −0.730203 0.683230i \(-0.760575\pi\)
0.683230 + 0.730203i \(0.260575\pi\)
\(434\) −28.6046 + 8.51334i −1.37307 + 0.408654i
\(435\) −1.94799 + 0.393964i −0.0933991 + 0.0188891i
\(436\) 0.732918 1.26945i 0.0351004 0.0607957i
\(437\) 4.43312 + 1.18785i 0.212065 + 0.0568226i
\(438\) 6.09084 + 2.53094i 0.291032 + 0.120933i
\(439\) −4.91850 2.83970i −0.234747 0.135531i 0.378013 0.925800i \(-0.376608\pi\)
−0.612760 + 0.790269i \(0.709941\pi\)
\(440\) −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
\(443\) 21.8406 5.85218i 1.03768 0.278045i 0.300528 0.953773i \(-0.402837\pi\)
0.737151 + 0.675728i \(0.236170\pi\)
\(444\) −1.23280 2.98574i −0.0585061 0.141697i
\(445\) −25.3185 + 1.76947i −1.20021 + 0.0838809i
\(446\) 18.6026 + 10.7402i 0.880859 + 0.508564i
\(447\) 10.3524 + 13.5230i 0.489651 + 0.639614i
\(448\) −11.0490 + 20.4127i −0.522016 + 0.964408i
\(449\) 32.0075 1.51053 0.755264 0.655420i \(-0.227509\pi\)
0.755264 + 0.655420i \(0.227509\pi\)
\(450\) −12.1011 15.5633i −0.570453 0.733659i
\(451\) 0.602360 + 1.04332i 0.0283640 + 0.0491279i
\(452\) −2.91728 0.781684i −0.137217 0.0367673i
\(453\) 1.94257 0.253521i 0.0912697 0.0119114i
\(454\) 18.7024i 0.877749i
\(455\) −10.1231 8.32351i −0.474578 0.390212i
\(456\) −9.53993 1.26688i −0.446748 0.0593270i
\(457\) 6.37935 1.70934i 0.298413 0.0799596i −0.106506 0.994312i \(-0.533966\pi\)
0.404919 + 0.914352i \(0.367300\pi\)
\(458\) 6.11666 22.8277i 0.285813 1.06667i
\(459\) −13.8013 + 1.76960i −0.644188 + 0.0825978i
\(460\) −1.47656 0.287072i −0.0688448 0.0133848i
\(461\) 28.3844i 1.32199i −0.750389 0.660996i \(-0.770134\pi\)
0.750389 0.660996i \(-0.229866\pi\)
\(462\) 23.3935 + 2.45477i 1.08836 + 0.114206i
\(463\) −3.86974 + 3.86974i −0.179842 + 0.179842i −0.791287 0.611445i \(-0.790589\pi\)
0.611445 + 0.791287i \(0.290589\pi\)
\(464\) −0.867317 + 1.50224i −0.0402642 + 0.0697396i
\(465\) 21.9971 + 24.9216i 1.02009 + 1.15571i
\(466\) 7.60407 + 13.1706i 0.352252 + 0.610118i
\(467\) −2.13398 7.96411i −0.0987486 0.368535i 0.898813 0.438333i \(-0.144431\pi\)
−0.997561 + 0.0697985i \(0.977764\pi\)
\(468\) 1.57128 0.902469i 0.0726323 0.0417167i
\(469\) 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
\(472\) 0.400628 1.49516i 0.0184404 0.0688204i
\(473\) 10.8770 40.5934i 0.500124 1.86649i
\(474\) 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
\(477\) −5.00811 + 2.87642i −0.229305 + 0.131702i
\(478\) −8.18145 30.5336i −0.374211 1.39657i
\(479\) −10.8658 18.8202i −0.496473 0.859917i 0.503519 0.863984i \(-0.332039\pi\)
−0.999992 + 0.00406782i \(0.998705\pi\)
\(480\) 5.91841 + 0.368896i 0.270137 + 0.0168377i
\(481\) 7.57624 13.1224i 0.345447 0.598331i
\(482\) −1.31462 + 1.31462i −0.0598792 + 0.0598792i
\(483\) 6.64409 9.14805i 0.302316 0.416251i
\(484\) 1.15953i 0.0527060i
\(485\) 4.11572 21.1692i 0.186885 0.961245i
\(486\) −2.78841 + 20.2970i −0.126485 + 0.920692i
\(487\) 2.34208 8.74077i 0.106130 0.396082i −0.892341 0.451362i \(-0.850938\pi\)
0.998471 + 0.0552796i \(0.0176050\pi\)
\(488\) 14.7402 3.94963i 0.667259 0.178791i
\(489\) 22.3666 + 2.97022i 1.01145 + 0.134318i
\(490\) 20.3788 + 2.81110i 0.920622 + 0.126992i
\(491\) 28.9156i 1.30494i −0.757814 0.652471i \(-0.773732\pi\)
0.757814 0.652471i \(-0.226268\pi\)
\(492\) −0.144451 + 0.0188520i −0.00651233 + 0.000849912i
\(493\) −1.32730 0.355648i −0.0597785 0.0160176i
\(494\) −2.70795 4.69031i −0.121837 0.211027i
\(495\) −8.47276 24.7908i −0.380822 1.11427i
\(496\) 29.0127 1.30271
\(497\) −19.3637 + 35.7738i −0.868580 + 1.60467i
\(498\) 17.9272 + 23.4177i 0.803336 + 1.04937i
\(499\) 27.9320 + 16.1266i 1.25041 + 0.721924i 0.971191 0.238304i \(-0.0765915\pi\)
0.279218 + 0.960228i \(0.409925\pi\)
\(500\) −2.26562 + 2.03951i −0.101322 + 0.0912095i
\(501\) 2.28485 + 5.53371i 0.102079 + 0.247228i
\(502\) 13.8238 3.70408i 0.616987 0.165321i
\(503\) −7.21038 7.21038i −0.321495 0.321495i 0.527845 0.849340i \(-0.323000\pi\)
−0.849340 + 0.527845i \(0.823000\pi\)
\(504\) −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
\(507\) −12.9438 5.37859i −0.574856 0.238871i
\(508\) 3.02579 + 0.810759i 0.134248 + 0.0359716i
\(509\) −11.9373 + 20.6761i −0.529113 + 0.916451i 0.470311 + 0.882501i \(0.344142\pi\)
−0.999424 + 0.0339497i \(0.989191\pi\)
\(510\) −2.70195 13.3601i −0.119645 0.591593i
\(511\) 5.56748 + 5.26966i 0.246291 + 0.233116i
\(512\) 17.9388 17.9388i 0.792789 0.792789i
\(513\) −9.57883 1.29398i −0.422916 0.0571308i
\(514\) −22.6010 + 13.0487i −0.996888 + 0.575553i
\(515\) −14.8744 + 17.1097i −0.655444 + 0.753944i
\(516\) 4.02814 + 3.09810i 0.177329 + 0.136386i
\(517\) −14.6093 14.6093i −0.642518 0.642518i
\(518\) 0.653374 + 23.7757i 0.0287076 + 1.04465i
\(519\) −2.17857 + 16.4052i −0.0956285 + 0.720109i
\(520\) 8.27312 + 12.2664i 0.362800 + 0.537918i
\(521\) −18.3151 + 10.5743i −0.802401 + 0.463267i −0.844310 0.535855i \(-0.819989\pi\)
0.0419089 + 0.999121i \(0.486656\pi\)
\(522\) −1.01558 + 1.74994i −0.0444509 + 0.0765926i
\(523\) −4.29744 16.0383i −0.187914 0.701305i −0.993988 0.109490i \(-0.965078\pi\)
0.806074 0.591815i \(-0.201588\pi\)
\(524\) 1.19851 0.0523571
\(525\) −6.70110 21.9111i −0.292460 0.956278i
\(526\) 34.4614 1.50259
\(527\) 5.94842 + 22.1998i 0.259117 + 0.967039i
\(528\) −21.1159 8.77432i −0.918949 0.381853i
\(529\) −14.6469 + 8.45641i −0.636823 + 0.367670i
\(530\) −3.16352 4.69049i −0.137414 0.203742i
\(531\) 0.405761 1.50080i 0.0176085 0.0651293i
\(532\) −1.18011 0.638774i −0.0511644 0.0276944i
\(533\) −0.483193 0.483193i −0.0209294 0.0209294i
\(534\) −15.7523 + 20.4810i −0.681669 + 0.886301i
\(535\) −2.59333 + 2.98306i −0.112120 + 0.128969i
\(536\) −23.4201 + 13.5216i −1.01160 + 0.584045i
\(537\) 18.5155 2.41643i 0.799004 0.104276i
\(538\) −0.448074 + 0.448074i −0.0193178 + 0.0193178i
\(539\) 24.3907 + 12.3483i 1.05058 + 0.531878i
\(540\) 3.16138 + 0.204193i 0.136044 + 0.00878705i
\(541\) −20.2965 + 35.1545i −0.872613 + 1.51141i −0.0133293 + 0.999911i \(0.504243\pi\)
−0.859284 + 0.511499i \(0.829090\pi\)
\(542\) 7.53026 + 2.01773i 0.323452 + 0.0866687i
\(543\) 1.90508 4.58468i 0.0817549 0.196747i
\(544\) 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 0.533919 0.845536i \(-0.320719\pi\)
−0.845536 + 0.533919i \(0.820719\pi\)
\(548\) 1.75231 0.469531i 0.0748551 0.0200574i
\(549\) 14.8137 3.93361i 0.632233 0.167882i
\(550\) 23.6251 10.0261i 1.00738 0.427516i
\(551\) −0.826675 0.477281i −0.0352175 0.0203329i
\(552\) −10.1352 + 7.75892i −0.431383 + 0.330241i
\(553\) 6.99920 + 11.3886i 0.297636 + 0.484290i
\(554\) 17.8219 0.757181
\(555\) 23.7218 11.7928i 1.00693 0.500578i
\(556\) −1.68303 2.91509i −0.0713762 0.123627i
\(557\) 31.7945 + 8.51930i 1.34718 + 0.360975i 0.859091 0.511822i \(-0.171029\pi\)
0.488084 + 0.872797i \(0.337696\pi\)
\(558\) 33.8405 + 0.0761506i 1.43258 + 0.00322371i
\(559\) 23.8376i 1.00822i
\(560\) −18.2082 8.27035i −0.769436 0.349486i
\(561\) 2.38455 17.9563i 0.100676 0.758115i
\(562\) 15.5335 4.16218i 0.655240 0.175571i
\(563\) 3.65033 13.6232i 0.153843 0.574150i −0.845359 0.534199i \(-0.820613\pi\)
0.999202 0.0399510i \(-0.0127202\pi\)
\(564\) 2.30921 0.953465i 0.0972354 0.0401481i
\(565\) 4.72704 24.3136i 0.198868 1.02288i
\(566\) 26.9001i 1.13069i
\(567\) −11.4290 + 20.8896i −0.479974 + 0.877282i
\(568\) 32.4729 32.4729i 1.36253 1.36253i
\(569\) −22.7130 + 39.3401i −0.952178 + 1.64922i −0.211481 + 0.977382i \(0.567829\pi\)
−0.740697 + 0.671839i \(0.765505\pi\)
\(570\) 0.589047 9.45041i 0.0246725 0.395834i
\(571\) −11.0051 19.0614i −0.460548 0.797693i 0.538440 0.842664i \(-0.319014\pi\)
−0.998988 + 0.0449706i \(0.985681\pi\)
\(572\) 0.610532 + 2.27854i 0.0255276 + 0.0952704i
\(573\) 19.2633 14.7468i 0.804734 0.616057i
\(574\) 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
\(577\) −10.2713 + 38.3331i −0.427601 + 1.59583i 0.330576 + 0.943779i \(0.392757\pi\)
−0.758177 + 0.652049i \(0.773910\pi\)
\(578\) −3.34359 + 12.4784i −0.139075 + 0.519034i
\(579\) −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
\(582\) −13.3455 17.4328i −0.553191 0.722614i
\(583\) −1.94594 7.26234i −0.0805925 0.300775i
\(584\) −4.32721 7.49494i −0.179061 0.310143i
\(585\) 8.28161 + 12.3388i 0.342403 + 0.510147i
\(586\) −17.0071 + 29.4572i −0.702559 + 1.21687i
\(587\) 2.66817 2.66817i 0.110127 0.110127i −0.649896 0.760023i \(-0.725188\pi\)
0.760023 + 0.649896i \(0.225188\pi\)
\(588\) −2.51059 + 2.15060i −0.103535 + 0.0886893i
\(589\) 15.9656i 0.657851i
\(590\) 1.49499 + 0.290656i 0.0615479 + 0.0119661i
\(591\) 4.94719 + 11.9817i 0.203500 + 0.492861i
\(592\) 5.98435 22.3339i 0.245955 0.917918i
\(593\) 11.6653 3.12571i 0.479037 0.128357i −0.0112174 0.999937i \(-0.503571\pi\)
0.490254 + 0.871580i \(0.336904\pi\)
\(594\) −24.6065 10.2898i −1.00962 0.422196i
\(595\) 2.59507 15.6281i 0.106388 0.640689i
\(596\) 2.68092i 0.109815i
\(597\) −2.31385 17.7295i −0.0946994 0.725622i
\(598\) −6.93849 1.85916i −0.283736 0.0760269i
\(599\) −16.3639 28.3431i −0.668610 1.15807i −0.978293 0.207226i \(-0.933556\pi\)
0.309683 0.950840i \(-0.399777\pi\)
\(600\) 0.194657 + 25.8667i 0.00794685 + 1.05600i
\(601\) −46.3697 −1.89146 −0.945729 0.324956i \(-0.894651\pi\)
−0.945729 + 0.324956i \(0.894651\pi\)
\(602\) −19.5919 31.8785i −0.798508 1.29927i
\(603\) −23.5532 + 13.5279i −0.959161 + 0.550898i
\(604\) −0.267071 0.154194i −0.0108670 0.00627406i
\(605\) 9.48627 0.662981i 0.385672 0.0269540i
\(606\) 9.61866 3.97151i 0.390731 0.161331i
\(607\) −15.6745 + 4.19997i −0.636208 + 0.170471i −0.562485 0.826807i \(-0.690155\pi\)
−0.0737227 + 0.997279i \(0.523488\pi\)
\(608\) 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
\(612\) 1.89443 + 1.09944i 0.0765777 + 0.0444422i
\(613\) −13.3150 3.56775i −0.537789 0.144100i −0.0203066 0.999794i \(-0.506464\pi\)
−0.517483 + 0.855694i \(0.673131\pi\)
\(614\) 17.9270 31.0504i 0.723473 1.25309i
\(615\) −0.236822 1.17099i −0.00954959 0.0472188i
\(616\) −22.4151 21.2161i −0.903130 0.854821i
\(617\) −10.5782 + 10.5782i −0.425862 + 0.425862i −0.887216 0.461354i \(-0.847364\pi\)
0.461354 + 0.887216i \(0.347364\pi\)
\(618\) 2.98684 + 22.8863i 0.120148 + 0.920620i
\(619\) −25.0531 + 14.4644i −1.00697 + 0.581375i −0.910303 0.413942i \(-0.864152\pi\)
−0.0966677 + 0.995317i \(0.530818\pi\)
\(620\) −0.364816 5.21998i −0.0146514 0.209639i
\(621\) −10.1971 + 7.76998i −0.409196 + 0.311798i
\(622\) −23.5762 23.5762i −0.945321 0.945321i
\(623\) −25.5847 + 15.7239i −1.02503 + 0.629965i
\(624\) 12.8573 + 1.70742i 0.514704 + 0.0683514i
\(625\) −17.9808 17.3692i −0.719234 0.694768i
\(626\) −27.8792 + 16.0961i −1.11428 + 0.643329i
\(627\) 4.82847 11.6200i 0.192831 0.464057i
\(628\) 1.32091 + 4.92972i 0.0527102 + 0.196717i
\(629\) 18.3163 0.730318
\(630\) −21.2163 9.69434i −0.845279 0.386232i
\(631\) −4.13783 −0.164724 −0.0823622 0.996602i \(-0.526246\pi\)
−0.0823622 + 0.996602i \(0.526246\pi\)
\(632\) −3.90587 14.5769i −0.155367 0.579838i
\(633\) 2.88847 6.95126i 0.114806 0.276288i
\(634\) 13.7171 7.91955i 0.544774 0.314526i
\(635\) −4.90287 + 25.2179i −0.194564 + 1.00074i
\(636\) 0.901234 + 0.119681i 0.0357362 + 0.00474568i
\(637\) −15.1762 3.18478i −0.601304 0.126186i
\(638\) −1.86249 1.86249i −0.0737369 0.0737369i
\(639\) 32.6884 32.5416i 1.29313 1.28733i
\(640\) 14.2900 + 12.4231i 0.564862 + 0.491065i
\(641\) −0.533980 + 0.308293i −0.0210909 + 0.0121769i −0.510508 0.859873i \(-0.670543\pi\)
0.489417 + 0.872050i \(0.337209\pi\)
\(642\) 0.520752 + 3.99019i 0.0205525 + 0.157480i
\(643\) −12.1411 + 12.1411i −0.478799 + 0.478799i −0.904747 0.425949i \(-0.859940\pi\)
0.425949 + 0.904747i \(0.359940\pi\)
\(644\) −1.70585 + 0.507698i −0.0672200 + 0.0200061i
\(645\) −23.0428 + 34.7261i −0.907310 + 1.36734i
\(646\) 3.27337 5.66964i 0.128789 0.223069i
\(647\) 28.1479 + 7.54222i 1.10661 + 0.296515i 0.765453 0.643492i \(-0.222515\pi\)
0.341156 + 0.940007i \(0.389182\pi\)
\(648\) 19.0940 18.9229i 0.750082 0.743361i
\(649\) 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
\(653\) −14.6142 + 3.91588i −0.571900 + 0.153240i −0.533168 0.846010i \(-0.678999\pi\)
−0.0387320 + 0.999250i \(0.512332\pi\)
\(654\) 11.3120 4.67067i 0.442334 0.182638i
\(655\) 0.685266 + 9.80514i 0.0267756 + 0.383119i
\(656\) −0.903034 0.521367i −0.0352575 0.0203560i
\(657\) −4.32921 7.53753i −0.168899 0.294067i
\(658\) −18.3885 + 0.505329i −0.716859 + 0.0196998i
\(659\) −6.05597 −0.235907 −0.117954 0.993019i \(-0.537633\pi\)
−0.117954 + 0.993019i \(0.537633\pi\)
\(660\) −1.31316 + 3.90950i −0.0511146 + 0.152177i
\(661\) −10.7793 18.6702i −0.419264 0.726187i 0.576601 0.817026i \(-0.304379\pi\)
−0.995866 + 0.0908385i \(0.971045\pi\)
\(662\) −12.3752 3.31593i −0.480977 0.128877i
\(663\) 1.32964 + 10.1881i 0.0516388 + 0.395675i
\(664\) 38.6968i 1.50173i
\(665\) 4.55114 10.0199i 0.176486 0.388554i
\(666\) 7.03878 26.0346i 0.272747 1.00882i
\(667\) −1.22292 + 0.327681i −0.0473517 + 0.0126878i
\(668\) 0.243921 0.910324i 0.00943757 0.0352215i
\(669\) −10.8037 26.1657i −0.417695 1.01162i
\(670\) −14.8781 22.0595i −0.574791 0.852232i
\(671\) 19.9531i 0.770282i
\(672\) 6.40927 2.85489i 0.247243 0.110130i
\(673\) 14.8200 14.8200i 0.571271 0.571271i −0.361213 0.932483i \(-0.617637\pi\)
0.932483 + 0.361213i \(0.117637\pi\)
\(674\) 9.84644 17.0545i 0.379271 0.656916i
\(675\) 0.137047 + 25.9804i 0.00527495 + 0.999986i
\(676\) 1.10325 + 1.91089i 0.0424327 + 0.0734956i
\(677\) 0.0551469 + 0.205811i 0.00211947 + 0.00790997i 0.966977 0.254862i \(-0.0820300\pi\)
−0.964858 + 0.262772i \(0.915363\pi\)
\(678\) −15.3278 20.0222i −0.588661 0.768948i
\(679\) −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
\(682\) −11.4022 + 42.5534i −0.436611 + 1.62945i
\(683\) −9.98776 + 37.2748i −0.382171 + 1.42628i 0.460408 + 0.887708i \(0.347703\pi\)
−0.842579 + 0.538573i \(0.818963\pi\)
\(684\) 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
\(687\) −24.7304 + 18.9321i −0.943522 + 0.722305i
\(688\) 9.41447 + 35.1353i 0.358923 + 1.33952i
\(689\) 2.13232 + 3.69329i 0.0812350 + 0.140703i
\(690\) −8.31067 9.41555i −0.316382 0.358444i
\(691\) 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
\(693\) −22.4653 21.3596i −0.853385 0.811385i
\(694\) 28.3611i 1.07657i
\(695\) 22.8864 15.4358i 0.868130 0.585513i
\(696\) 2.45385 1.01318i 0.0930129 0.0384046i
\(697\) 0.213789 0.797873i 0.00809785 0.0302216i
\(698\) −36.1955 + 9.69855i −1.37002 + 0.367095i
\(699\) 2.63840 19.8679i 0.0997934 0.751472i
\(700\) −1.25905 + 3.38001i −0.0475875 + 0.127752i
\(701\) 5.55742i 0.209901i 0.994477 + 0.104951i \(0.0334684\pi\)
−0.994477 + 0.104951i \(0.966532\pi\)
\(702\) 14.9923 + 2.02528i 0.565848 + 0.0764393i
\(703\) 12.2903 + 3.29316i 0.463536 + 0.124204i
\(704\) 17.1313 + 29.6724i 0.645662 + 1.11832i
\(705\) 9.12074 + 18.3468i 0.343507 + 0.690980i
\(706\) −16.1461 −0.607665
\(707\) 12.0902 0.332246i 0.454697 0.0124954i
\(708\) −0.194329 + 0.148767i −0.00730333 + 0.00559100i
\(709\) 33.7512 + 19.4863i 1.26755 + 0.731822i 0.974524 0.224282i \(-0.0720036\pi\)
0.293028 + 0.956104i \(0.405337\pi\)
\(710\) 34.0999 + 29.6448i 1.27975 + 1.11255i
\(711\) −3.89002 14.6495i −0.145887 0.549401i
\(712\) 32.7475 8.77465i 1.22726 0.328844i
\(713\) 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
\(717\) −15.9854 + 38.4696i −0.596984 + 1.43667i
\(718\) 6.11354 + 1.63812i 0.228155 + 0.0611340i
\(719\) −6.37639 + 11.0442i −0.237799 + 0.411881i −0.960083 0.279717i \(-0.909759\pi\)
0.722283 + 0.691597i \(0.243093\pi\)
\(720\) 17.0798 + 14.9160i 0.636525 + 0.555885i
\(721\) −6.22844 + 26.0920i −0.231959 + 0.971716i
\(722\) −14.4417 + 14.4417i −0.537463 + 0.537463i
\(723\) 2.42951 0.317070i 0.0903543 0.0117920i
\(724\) −0.676831 + 0.390769i −0.0251542 + 0.0145228i
\(725\) −0.961333 + 2.37886i −0.0357030 + 0.0883487i
\(726\) 5.90204 7.67379i 0.219045 0.284801i
\(727\) 7.96907 + 7.96907i 0.295557 + 0.295557i 0.839271 0.543714i \(-0.182982\pi\)
−0.543714 + 0.839271i \(0.682982\pi\)
\(728\) 15.3957 + 8.33341i 0.570602 + 0.308857i
\(729\) 19.2203 18.9626i 0.711864 0.702317i
\(730\) 7.05951 4.76131i 0.261284 0.176224i
\(731\) −24.9544 + 14.4074i −0.922971 + 0.532877i
\(732\) −2.22805 0.925826i −0.0823510 0.0342195i
\(733\) 1.40354 + 5.23810i 0.0518411 + 0.193474i 0.986990 0.160781i \(-0.0514013\pi\)
−0.935149 + 0.354255i \(0.884735\pi\)
\(734\) −18.8337 −0.695165
\(735\) −19.0298 19.3098i −0.701925 0.712251i
\(736\) 3.77754 0.139242
\(737\) −9.15178 34.1549i −0.337110 1.25811i
\(738\) −1.05193 0.610493i −0.0387221 0.0224726i
\(739\) 12.8892 7.44158i 0.474136 0.273743i −0.243833 0.969817i \(-0.578405\pi\)
0.717970 + 0.696074i \(0.245072\pi\)
\(740\) −4.09357 0.795871i −0.150483 0.0292568i
\(741\) −0.939584 + 7.07532i −0.0345165 + 0.259918i
\(742\) −5.88709 3.18657i −0.216122 0.116983i
\(743\) 22.4301 + 22.4301i 0.822879 + 0.822879i 0.986520 0.163641i \(-0.0523239\pi\)
−0.163641 + 0.986520i \(0.552324\pi\)
\(744\) −35.1967 27.0704i −1.29037 0.992448i
\(745\) 21.9329 1.53286i 0.803561 0.0561597i
\(746\) −1.32747 + 0.766412i −0.0486020 + 0.0280604i
\(747\) 0.0874599 38.8662i 0.00319999 1.42204i
\(748\) −2.01628 + 2.01628i −0.0737225 + 0.0737225i
\(749\) −1.08592 + 4.54911i −0.0396787 + 0.166221i
\(750\) −25.3750 + 1.96541i −0.926565 + 0.0717667i
\(751\) 21.2065 36.7307i 0.773836 1.34032i −0.161610 0.986855i \(-0.551669\pi\)
0.935446 0.353469i \(-0.114998\pi\)
\(752\) 17.2734 + 4.62839i 0.629895 + 0.168780i
\(753\) −17.4168 7.23724i −0.634703 0.263740i
\(754\) 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 0.908045 0.418873i \(-0.137575\pi\)
−0.418873 + 0.908045i \(0.637575\pi\)
\(758\) −31.5781 + 8.46132i −1.14697 + 0.307329i
\(759\) −6.36943 15.4262i −0.231196 0.559937i
\(760\) −8.15131 + 9.37629i −0.295679 + 0.340114i
\(761\) −29.3030 16.9181i −1.06223