Properties

Label 354.2.e.b.133.1
Level 354
Weight 2
Character 354.133
Analytic conductor 2.827
Analytic rank 0
Dimension 56
CM No

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Newspace parameters

Level: \( N \) = \( 354 = 2 \cdot 3 \cdot 59 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 354.e (of order \(29\) and degree \(28\))

Newform invariants

Self dual: No
Analytic conductor: \(2.82670423155\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(2\) over \(\Q(\zeta_{29})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 133.1
Character \(\chi\) = 354.133
Dual form 354.2.e.b.181.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.994138 - 0.108119i) q^{2} +(-0.647386 - 0.762162i) q^{3} +(0.976621 - 0.214970i) q^{4} +(-2.85024 + 2.16670i) q^{5} +(-0.725995 - 0.687699i) q^{6} +(1.29781 + 3.25725i) q^{7} +(0.947653 - 0.319302i) q^{8} +(-0.161782 + 0.986827i) q^{9} +O(q^{10})\) \(q+(0.994138 - 0.108119i) q^{2} +(-0.647386 - 0.762162i) q^{3} +(0.976621 - 0.214970i) q^{4} +(-2.85024 + 2.16670i) q^{5} +(-0.725995 - 0.687699i) q^{6} +(1.29781 + 3.25725i) q^{7} +(0.947653 - 0.319302i) q^{8} +(-0.161782 + 0.986827i) q^{9} +(-2.59927 + 2.46216i) q^{10} +(5.70775 + 2.64069i) q^{11} +(-0.796093 - 0.605174i) q^{12} +(-0.644085 - 3.92874i) q^{13} +(1.64237 + 3.09784i) q^{14} +(3.49658 + 0.769656i) q^{15} +(0.907575 - 0.419889i) q^{16} +(-2.36419 + 5.93367i) q^{17} +(-0.0541389 + 0.998533i) q^{18} +(-0.295767 + 0.436223i) q^{19} +(-2.31783 + 2.72876i) q^{20} +(1.64237 - 3.09784i) q^{21} +(5.95980 + 2.00809i) q^{22} +(0.0611044 + 1.12700i) q^{23} +(-0.856857 - 0.515554i) q^{24} +(2.09166 - 7.53346i) q^{25} +(-1.06508 - 3.83607i) q^{26} +(0.856857 - 0.515554i) q^{27} +(1.96768 + 2.90211i) q^{28} +(2.39194 + 0.260139i) q^{29} +(3.55930 + 0.387097i) q^{30} +(-5.27573 - 7.78112i) q^{31} +(0.856857 - 0.515554i) q^{32} +(-1.68249 - 6.05977i) q^{33} +(-1.70879 + 6.15450i) q^{34} +(-10.7565 - 6.47200i) q^{35} +(0.0541389 + 0.998533i) q^{36} +(7.19379 + 2.42387i) q^{37} +(-0.246869 + 0.465644i) q^{38} +(-2.57737 + 3.03431i) q^{39} +(-2.00921 + 2.96336i) q^{40} +(-0.146904 + 2.70949i) q^{41} +(1.29781 - 3.25725i) q^{42} +(-3.58601 + 1.65907i) q^{43} +(6.14198 + 1.35195i) q^{44} +(-1.67704 - 3.16323i) q^{45} +(0.182597 + 1.11379i) q^{46} +(-5.56543 - 4.23073i) q^{47} +(-0.907575 - 0.419889i) q^{48} +(-3.84343 + 3.64069i) q^{49} +(1.26488 - 7.71545i) q^{50} +(6.05297 - 2.03948i) q^{51} +(-1.47359 - 3.69843i) q^{52} +(-3.55857 - 3.37086i) q^{53} +(0.796093 - 0.605174i) q^{54} +(-21.9900 + 4.84037i) q^{55} +(2.26992 + 2.67235i) q^{56} +(0.523948 - 0.0569828i) q^{57} +2.40605 q^{58} +(7.67711 + 0.249043i) q^{59} +3.58029 q^{60} +(12.5799 - 1.36814i) q^{61} +(-6.08609 - 7.16510i) q^{62} +(-3.42431 + 0.753747i) q^{63} +(0.796093 - 0.605174i) q^{64} +(10.3482 + 9.80233i) q^{65} +(-2.32780 - 5.84234i) q^{66} +(-3.29245 + 1.10936i) q^{67} +(-1.03335 + 6.30318i) q^{68} +(0.819402 - 0.776179i) q^{69} +(-11.3932 - 5.27107i) q^{70} +(-8.08155 - 6.14344i) q^{71} +(0.161782 + 0.986827i) q^{72} +(-0.894423 - 1.68706i) q^{73} +(7.41368 + 1.63188i) q^{74} +(-7.09583 + 3.28288i) q^{75} +(-0.195077 + 0.489606i) q^{76} +(-1.19382 + 22.0187i) q^{77} +(-2.23419 + 3.29519i) q^{78} +(5.35899 - 6.30909i) q^{79} +(-1.67704 + 3.16323i) q^{80} +(-0.947653 - 0.319302i) q^{81} +(0.146904 + 2.70949i) q^{82} +(5.27600 + 3.17446i) q^{83} +(0.938030 - 3.37848i) q^{84} +(-6.11796 - 22.0349i) q^{85} +(-3.38562 + 2.03706i) q^{86} +(-1.35024 - 1.99146i) q^{87} +(6.25214 + 0.679962i) q^{88} +(-4.89779 - 0.532667i) q^{89} +(-2.00921 - 2.96336i) q^{90} +(11.9610 - 7.19670i) q^{91} +(0.301949 + 1.08752i) q^{92} +(-2.51504 + 9.05835i) q^{93} +(-5.99022 - 3.60420i) q^{94} +(-0.102157 - 1.88418i) q^{95} +(-0.947653 - 0.319302i) q^{96} +(4.30748 - 8.12477i) q^{97} +(-3.42727 + 4.03490i) q^{98} +(-3.52931 + 5.20534i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q + 2q^{2} + 2q^{3} - 2q^{4} - 2q^{5} - 2q^{6} + q^{7} + 2q^{8} - 2q^{9} + O(q^{10}) \) \( 56q + 2q^{2} + 2q^{3} - 2q^{4} - 2q^{5} - 2q^{6} + q^{7} + 2q^{8} - 2q^{9} + 2q^{10} + 30q^{11} + 2q^{12} + 5q^{13} + 28q^{14} + 2q^{15} - 2q^{16} - 3q^{17} + 2q^{18} - 4q^{19} - 2q^{20} + 28q^{21} - q^{22} - 2q^{23} - 2q^{24} + 64q^{25} - 34q^{26} + 2q^{27} + q^{28} + 8q^{29} - 2q^{30} + 2q^{32} - q^{33} + 32q^{34} - 87q^{35} - 2q^{36} + 47q^{37} + 4q^{38} - 5q^{39} + 2q^{40} + 3q^{41} + q^{42} - 61q^{43} + q^{44} - 2q^{45} - 27q^{46} + 50q^{47} + 2q^{48} - 45q^{49} - 6q^{50} + 3q^{51} - 24q^{52} - 27q^{53} - 2q^{54} - 95q^{55} - q^{56} + 4q^{57} + 50q^{58} - 58q^{59} + 2q^{60} - 74q^{61} - 29q^{62} + q^{63} - 2q^{64} - 17q^{65} + q^{66} + 4q^{67} - 32q^{68} + 31q^{69} - 58q^{70} - 47q^{71} + 2q^{72} + 43q^{73} - 18q^{74} - 6q^{75} - 33q^{76} - 5q^{77} + 5q^{78} + 19q^{79} - 2q^{80} - 2q^{81} - 3q^{82} + 47q^{83} - q^{84} - 149q^{85} - 55q^{86} + 21q^{87} + 28q^{88} + 36q^{89} + 2q^{90} + 175q^{91} - 2q^{92} - 29q^{93} - 21q^{94} + 50q^{95} - 2q^{96} + 10q^{97} - 13q^{98} + q^{99} + O(q^{100}) \)

Character Values

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

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{28}{29}\right)\) \(1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.994138 0.108119i 0.702962 0.0764517i
\(3\) −0.647386 0.762162i −0.373769 0.440034i
\(4\) 0.976621 0.214970i 0.488310 0.107485i
\(5\) −2.85024 + 2.16670i −1.27467 + 0.968976i −0.274694 + 0.961532i \(0.588577\pi\)
−0.999972 + 0.00744440i \(0.997630\pi\)
\(6\) −0.725995 0.687699i −0.296386 0.280752i
\(7\) 1.29781 + 3.25725i 0.490526 + 1.23113i 0.941021 + 0.338348i \(0.109868\pi\)
−0.450496 + 0.892779i \(0.648753\pi\)
\(8\) 0.947653 0.319302i 0.335046 0.112890i
\(9\) −0.161782 + 0.986827i −0.0539273 + 0.328942i
\(10\) −2.59927 + 2.46216i −0.821962 + 0.778603i
\(11\) 5.70775 + 2.64069i 1.72095 + 0.796197i 0.993984 + 0.109525i \(0.0349330\pi\)
0.726967 + 0.686672i \(0.240929\pi\)
\(12\) −0.796093 0.605174i −0.229812 0.174699i
\(13\) −0.644085 3.92874i −0.178637 1.08964i −0.912118 0.409927i \(-0.865554\pi\)
0.733481 0.679710i \(-0.237894\pi\)
\(14\) 1.64237 + 3.09784i 0.438942 + 0.827933i
\(15\) 3.49658 + 0.769656i 0.902813 + 0.198724i
\(16\) 0.907575 0.419889i 0.226894 0.104972i
\(17\) −2.36419 + 5.93367i −0.573401 + 1.43913i 0.300859 + 0.953669i \(0.402727\pi\)
−0.874260 + 0.485459i \(0.838653\pi\)
\(18\) −0.0541389 + 0.998533i −0.0127607 + 0.235357i
\(19\) −0.295767 + 0.436223i −0.0678536 + 0.100077i −0.860102 0.510122i \(-0.829600\pi\)
0.792248 + 0.610199i \(0.208910\pi\)
\(20\) −2.31783 + 2.72876i −0.518282 + 0.610169i
\(21\) 1.64237 3.09784i 0.358395 0.676005i
\(22\) 5.95980 + 2.00809i 1.27063 + 0.428126i
\(23\) 0.0611044 + 1.12700i 0.0127412 + 0.234997i 0.997967 + 0.0637356i \(0.0203014\pi\)
−0.985226 + 0.171261i \(0.945216\pi\)
\(24\) −0.856857 0.515554i −0.174905 0.105237i
\(25\) 2.09166 7.53346i 0.418331 1.50669i
\(26\) −1.06508 3.83607i −0.208880 0.752316i
\(27\) 0.856857 0.515554i 0.164902 0.0992184i
\(28\) 1.96768 + 2.90211i 0.371857 + 0.548447i
\(29\) 2.39194 + 0.260139i 0.444172 + 0.0483067i 0.327473 0.944861i \(-0.393803\pi\)
0.116700 + 0.993167i \(0.462769\pi\)
\(30\) 3.55930 + 0.387097i 0.649836 + 0.0706739i
\(31\) −5.27573 7.78112i −0.947549 1.39753i −0.917392 0.397985i \(-0.869710\pi\)
−0.0301571 0.999545i \(-0.509601\pi\)
\(32\) 0.856857 0.515554i 0.151472 0.0911379i
\(33\) −1.68249 6.05977i −0.292884 1.05487i
\(34\) −1.70879 + 6.15450i −0.293055 + 1.05549i
\(35\) −10.7565 6.47200i −1.81819 1.09397i
\(36\) 0.0541389 + 0.998533i 0.00902315 + 0.166422i
\(37\) 7.19379 + 2.42387i 1.18265 + 0.398482i 0.840838 0.541286i \(-0.182062\pi\)
0.341813 + 0.939768i \(0.388959\pi\)
\(38\) −0.246869 + 0.465644i −0.0400474 + 0.0755375i
\(39\) −2.57737 + 3.03431i −0.412709 + 0.485879i
\(40\) −2.00921 + 2.96336i −0.317684 + 0.468549i
\(41\) −0.146904 + 2.70949i −0.0229426 + 0.423151i 0.964390 + 0.264485i \(0.0852020\pi\)
−0.987332 + 0.158666i \(0.949281\pi\)
\(42\) 1.29781 3.25725i 0.200256 0.502605i
\(43\) −3.58601 + 1.65907i −0.546862 + 0.253005i −0.673811 0.738904i \(-0.735344\pi\)
0.126949 + 0.991909i \(0.459482\pi\)
\(44\) 6.14198 + 1.35195i 0.925938 + 0.203814i
\(45\) −1.67704 3.16323i −0.249998 0.471546i
\(46\) 0.182597 + 1.11379i 0.0269224 + 0.164220i
\(47\) −5.56543 4.23073i −0.811801 0.617115i 0.114703 0.993400i \(-0.463408\pi\)
−0.926504 + 0.376285i \(0.877201\pi\)
\(48\) −0.907575 0.419889i −0.130997 0.0606058i
\(49\) −3.84343 + 3.64069i −0.549061 + 0.520098i
\(50\) 1.26488 7.71545i 0.178882 1.09113i
\(51\) 6.05297 2.03948i 0.847585 0.285585i
\(52\) −1.47359 3.69843i −0.204350 0.512880i
\(53\) −3.55857 3.37086i −0.488808 0.463023i 0.403155 0.915132i \(-0.367913\pi\)
−0.891963 + 0.452108i \(0.850672\pi\)
\(54\) 0.796093 0.605174i 0.108335 0.0823538i
\(55\) −21.9900 + 4.84037i −2.96513 + 0.652675i
\(56\) 2.26992 + 2.67235i 0.303331 + 0.357108i
\(57\) 0.523948 0.0569828i 0.0693986 0.00754756i
\(58\) 2.40605 0.315929
\(59\) 7.67711 + 0.249043i 0.999474 + 0.0324227i
\(60\) 3.58029 0.462213
\(61\) 12.5799 1.36814i 1.61069 0.175173i 0.741952 0.670453i \(-0.233900\pi\)
0.868733 + 0.495280i \(0.164935\pi\)
\(62\) −6.08609 7.16510i −0.772934 0.909968i
\(63\) −3.42431 + 0.753747i −0.431422 + 0.0949632i
\(64\) 0.796093 0.605174i 0.0995116 0.0756468i
\(65\) 10.3482 + 9.80233i 1.28353 + 1.21583i
\(66\) −2.32780 5.84234i −0.286533 0.719143i
\(67\) −3.29245 + 1.10936i −0.402237 + 0.135529i −0.513146 0.858301i \(-0.671520\pi\)
0.110910 + 0.993830i \(0.464624\pi\)
\(68\) −1.03335 + 6.30318i −0.125313 + 0.764373i
\(69\) 0.819402 0.776179i 0.0986444 0.0934410i
\(70\) −11.3932 5.27107i −1.36175 0.630014i
\(71\) −8.08155 6.14344i −0.959104 0.729092i 0.00350287 0.999994i \(-0.498885\pi\)
−0.962607 + 0.270902i \(0.912678\pi\)
\(72\) 0.161782 + 0.986827i 0.0190662 + 0.116299i
\(73\) −0.894423 1.68706i −0.104684 0.197455i 0.825636 0.564203i \(-0.190816\pi\)
−0.930321 + 0.366747i \(0.880471\pi\)
\(74\) 7.41368 + 1.63188i 0.861823 + 0.189702i
\(75\) −7.09583 + 3.28288i −0.819356 + 0.379074i
\(76\) −0.195077 + 0.489606i −0.0223768 + 0.0561616i
\(77\) −1.19382 + 22.0187i −0.136048 + 2.50926i
\(78\) −2.23419 + 3.29519i −0.252972 + 0.373106i
\(79\) 5.35899 6.30909i 0.602933 0.709828i −0.373016 0.927825i \(-0.621676\pi\)
0.975949 + 0.217997i \(0.0699523\pi\)
\(80\) −1.67704 + 3.16323i −0.187498 + 0.353659i
\(81\) −0.947653 0.319302i −0.105295 0.0354779i
\(82\) 0.146904 + 2.70949i 0.0162229 + 0.299213i
\(83\) 5.27600 + 3.17446i 0.579116 + 0.348443i 0.774783 0.632228i \(-0.217859\pi\)
−0.195666 + 0.980671i \(0.562687\pi\)
\(84\) 0.938030 3.37848i 0.102347 0.368622i
\(85\) −6.11796 22.0349i −0.663585 2.39002i
\(86\) −3.38562 + 2.03706i −0.365080 + 0.219662i
\(87\) −1.35024 1.99146i −0.144761 0.213507i
\(88\) 6.25214 + 0.679962i 0.666481 + 0.0724841i
\(89\) −4.89779 0.532667i −0.519165 0.0564626i −0.155214 0.987881i \(-0.549607\pi\)
−0.363951 + 0.931418i \(0.618572\pi\)
\(90\) −2.00921 2.96336i −0.211789 0.312366i
\(91\) 11.9610 7.19670i 1.25386 0.754420i
\(92\) 0.301949 + 1.08752i 0.0314803 + 0.113382i
\(93\) −2.51504 + 9.05835i −0.260797 + 0.939307i
\(94\) −5.99022 3.60420i −0.617844 0.371745i
\(95\) −0.102157 1.88418i −0.0104811 0.193313i
\(96\) −0.947653 0.319302i −0.0967194 0.0325886i
\(97\) 4.30748 8.12477i 0.437358 0.824945i −0.562640 0.826702i \(-0.690214\pi\)
0.999998 + 0.00175666i \(0.000559162\pi\)
\(98\) −3.42727 + 4.03490i −0.346207 + 0.407586i
\(99\) −3.52931 + 5.20534i −0.354709 + 0.523157i
\(100\) 0.423282 7.80698i 0.0423282 0.780698i
\(101\) 7.43428 18.6586i 0.739739 1.85660i 0.334469 0.942407i \(-0.391443\pi\)
0.405270 0.914197i \(-0.367178\pi\)
\(102\) 5.79698 2.68197i 0.573986 0.265554i
\(103\) 9.91143 + 2.18167i 0.976602 + 0.214966i 0.674472 0.738300i \(-0.264371\pi\)
0.302130 + 0.953267i \(0.402302\pi\)
\(104\) −1.86482 3.51743i −0.182861 0.344912i
\(105\) 2.03093 + 12.3881i 0.198198 + 1.20896i
\(106\) −3.90217 2.96635i −0.379012 0.288117i
\(107\) −1.85437 0.857924i −0.179269 0.0829386i 0.328202 0.944608i \(-0.393557\pi\)
−0.507471 + 0.861669i \(0.669419\pi\)
\(108\) 0.725995 0.687699i 0.0698589 0.0661739i
\(109\) 0.412537 2.51636i 0.0395138 0.241024i −0.959683 0.281083i \(-0.909306\pi\)
0.999197 + 0.0400592i \(0.0127547\pi\)
\(110\) −21.3378 + 7.18954i −2.03448 + 0.685495i
\(111\) −2.80978 7.05201i −0.266692 0.669347i
\(112\) 2.54554 + 2.41127i 0.240531 + 0.227843i
\(113\) 5.60705 4.26236i 0.527466 0.400970i −0.307267 0.951623i \(-0.599415\pi\)
0.834734 + 0.550654i \(0.185621\pi\)
\(114\) 0.514716 0.113298i 0.0482076 0.0106113i
\(115\) −2.61604 3.07984i −0.243947 0.287197i
\(116\) 2.39194 0.260139i 0.222086 0.0241533i
\(117\) 3.98119 0.368061
\(118\) 7.65903 0.582458i 0.705071 0.0536196i
\(119\) −22.3958 −2.05302
\(120\) 3.55930 0.387097i 0.324918 0.0353370i
\(121\) 18.4839 + 21.7610i 1.68036 + 1.97827i
\(122\) 12.3582 2.72024i 1.11886 0.246279i
\(123\) 2.16017 1.64212i 0.194776 0.148065i
\(124\) −6.82510 6.46507i −0.612912 0.580581i
\(125\) 3.73500 + 9.37415i 0.334069 + 0.838449i
\(126\) −3.32274 + 1.11956i −0.296013 + 0.0997384i
\(127\) 0.903295 5.50985i 0.0801544 0.488920i −0.915991 0.401200i \(-0.868593\pi\)
0.996145 0.0877208i \(-0.0279583\pi\)
\(128\) 0.725995 0.687699i 0.0641695 0.0607846i
\(129\) 3.58601 + 1.65907i 0.315731 + 0.146073i
\(130\) 11.3473 + 8.62603i 0.995228 + 0.756553i
\(131\) 2.43910 + 14.8779i 0.213105 + 1.29988i 0.849117 + 0.528205i \(0.177135\pi\)
−0.636012 + 0.771680i \(0.719417\pi\)
\(132\) −2.94583 5.55642i −0.256401 0.483624i
\(133\) −1.80474 0.397253i −0.156491 0.0344462i
\(134\) −3.15321 + 1.45883i −0.272395 + 0.126024i
\(135\) −1.32520 + 3.32600i −0.114055 + 0.286257i
\(136\) −0.345803 + 6.37795i −0.0296523 + 0.546905i
\(137\) −7.47439 + 11.0239i −0.638580 + 0.941835i 0.361376 + 0.932420i \(0.382307\pi\)
−0.999956 + 0.00941470i \(0.997003\pi\)
\(138\) 0.730679 0.860222i 0.0621995 0.0732270i
\(139\) −0.339805 + 0.640940i −0.0288219 + 0.0543639i −0.897505 0.441005i \(-0.854622\pi\)
0.868683 + 0.495369i \(0.164967\pi\)
\(140\) −11.8964 4.00835i −1.00543 0.338767i
\(141\) 0.378481 + 6.98067i 0.0318738 + 0.587879i
\(142\) −8.69840 5.23366i −0.729954 0.439199i
\(143\) 6.69830 24.1251i 0.560140 2.01744i
\(144\) 0.267528 + 0.963550i 0.0222940 + 0.0802958i
\(145\) −7.38125 + 4.44115i −0.612980 + 0.368818i
\(146\) −1.07158 1.58047i −0.0886848 0.130800i
\(147\) 5.26298 + 0.572383i 0.434083 + 0.0472094i
\(148\) 7.54666 + 0.820749i 0.620332 + 0.0674652i
\(149\) 2.48403 + 3.66367i 0.203500 + 0.300140i 0.915720 0.401816i \(-0.131621\pi\)
−0.712221 + 0.701956i \(0.752311\pi\)
\(150\) −6.69929 + 4.03083i −0.546995 + 0.329116i
\(151\) −1.87084 6.73817i −0.152247 0.548345i −0.999843 0.0177028i \(-0.994365\pi\)
0.847596 0.530642i \(-0.178049\pi\)
\(152\) −0.140998 + 0.507827i −0.0114364 + 0.0411902i
\(153\) −5.47302 3.29301i −0.442468 0.266224i
\(154\) 1.19382 + 22.0187i 0.0962007 + 1.77432i
\(155\) 31.8964 + 10.7472i 2.56198 + 0.863232i
\(156\) −1.86482 + 3.51743i −0.149305 + 0.281620i
\(157\) −3.30120 + 3.88647i −0.263464 + 0.310174i −0.877949 0.478755i \(-0.841088\pi\)
0.614484 + 0.788929i \(0.289364\pi\)
\(158\) 4.64544 6.85151i 0.369571 0.545077i
\(159\) −0.265370 + 4.89446i −0.0210452 + 0.388156i
\(160\) −1.32520 + 3.32600i −0.104766 + 0.262944i
\(161\) −3.59164 + 1.66167i −0.283061 + 0.130958i
\(162\) −0.976621 0.214970i −0.0767306 0.0168897i
\(163\) −3.28820 6.20221i −0.257552 0.485795i 0.720691 0.693256i \(-0.243825\pi\)
−0.978243 + 0.207462i \(0.933480\pi\)
\(164\) 0.438990 + 2.67772i 0.0342794 + 0.209095i
\(165\) 17.9252 + 13.6264i 1.39547 + 1.06081i
\(166\) 5.58829 + 2.58542i 0.433736 + 0.200667i
\(167\) −0.0540390 + 0.0511885i −0.00418167 + 0.00396109i −0.689787 0.724012i \(-0.742296\pi\)
0.685606 + 0.727973i \(0.259537\pi\)
\(168\) 0.567253 3.46009i 0.0437645 0.266952i
\(169\) −2.70069 + 0.909967i −0.207745 + 0.0699974i
\(170\) −8.46448 21.2442i −0.649196 1.62936i
\(171\) −0.382627 0.362444i −0.0292602 0.0277168i
\(172\) −3.14552 + 2.39117i −0.239844 + 0.182325i
\(173\) 20.1532 4.43606i 1.53222 0.337267i 0.632788 0.774325i \(-0.281910\pi\)
0.899434 + 0.437058i \(0.143979\pi\)
\(174\) −1.55764 1.83380i −0.118084 0.139020i
\(175\) 27.2530 2.96394i 2.06013 0.224053i
\(176\) 6.28901 0.474052
\(177\) −4.78024 6.01243i −0.359305 0.451922i
\(178\) −4.92667 −0.369270
\(179\) −2.36833 + 0.257572i −0.177018 + 0.0192518i −0.196198 0.980564i \(-0.562860\pi\)
0.0191809 + 0.999816i \(0.493894\pi\)
\(180\) −2.31783 2.72876i −0.172761 0.203390i
\(181\) −5.47062 + 1.20417i −0.406628 + 0.0895056i −0.413575 0.910470i \(-0.635720\pi\)
0.00694644 + 0.999976i \(0.497789\pi\)
\(182\) 11.1128 8.44773i 0.823735 0.626187i
\(183\) −9.18677 8.70217i −0.679106 0.643283i
\(184\) 0.417760 + 1.04850i 0.0307977 + 0.0772964i
\(185\) −25.7558 + 8.67815i −1.89361 + 0.638030i
\(186\) −1.52092 + 9.27717i −0.111519 + 0.680235i
\(187\) −29.1632 + 27.6248i −2.13262 + 2.02013i
\(188\) −6.34479 2.93541i −0.462741 0.214087i
\(189\) 2.79133 + 2.12191i 0.203039 + 0.154346i
\(190\) −0.305274 1.86209i −0.0221469 0.135090i
\(191\) −8.44043 15.9203i −0.610728 1.15196i −0.975322 0.220789i \(-0.929137\pi\)
0.364594 0.931167i \(-0.381208\pi\)
\(192\) −0.976621 0.214970i −0.0704815 0.0155142i
\(193\) −14.3074 + 6.61929i −1.02987 + 0.476467i −0.860696 0.509120i \(-0.829971\pi\)
−0.169171 + 0.985587i \(0.554109\pi\)
\(194\) 3.40379 8.54286i 0.244378 0.613342i
\(195\) 0.771685 14.2329i 0.0552615 1.01924i
\(196\) −2.97093 + 4.38180i −0.212209 + 0.312985i
\(197\) −1.36730 + 1.60971i −0.0974161 + 0.114687i −0.808710 0.588208i \(-0.799834\pi\)
0.711294 + 0.702895i \(0.248110\pi\)
\(198\) −2.94583 + 5.55642i −0.209351 + 0.394877i
\(199\) −9.50266 3.20182i −0.673626 0.226971i −0.0383594 0.999264i \(-0.512213\pi\)
−0.635266 + 0.772293i \(0.719110\pi\)
\(200\) −0.423282 7.80698i −0.0299306 0.552037i
\(201\) 2.97699 + 1.79120i 0.209981 + 0.126341i
\(202\) 5.37335 19.3530i 0.378067 1.36168i
\(203\) 2.25694 + 8.12877i 0.158406 + 0.570528i
\(204\) 5.47302 3.29301i 0.383188 0.230557i
\(205\) −5.45193 8.04099i −0.380779 0.561607i
\(206\) 10.0892 + 1.09727i 0.702948 + 0.0764502i
\(207\) −1.12204 0.122030i −0.0779875 0.00848165i
\(208\) −2.23419 3.29519i −0.154913 0.228480i
\(209\) −2.84009 + 1.70883i −0.196453 + 0.118202i
\(210\) 3.35841 + 12.0959i 0.231753 + 0.834697i
\(211\) −3.87267 + 13.9481i −0.266605 + 0.960225i 0.702114 + 0.712065i \(0.252240\pi\)
−0.968719 + 0.248161i \(0.920174\pi\)
\(212\) −4.20001 2.52706i −0.288458 0.173559i
\(213\) 0.549592 + 10.1366i 0.0376574 + 0.694551i
\(214\) −1.93626 0.652402i −0.132360 0.0445973i
\(215\) 6.62631 12.4985i 0.451910 0.852394i
\(216\) 0.647386 0.762162i 0.0440491 0.0518586i
\(217\) 18.4982 27.2828i 1.25574 1.85208i
\(218\) 0.138052 2.54621i 0.00935004 0.172451i
\(219\) −0.706776 + 1.77387i −0.0477595 + 0.119867i
\(220\) −20.4354 + 9.45441i −1.37775 + 0.637416i
\(221\) 24.8346 + 5.46651i 1.67056 + 0.367717i
\(222\) −3.55576 6.70688i −0.238647 0.450137i
\(223\) 2.43554 + 14.8561i 0.163096 + 0.994841i 0.933839 + 0.357694i \(0.116437\pi\)
−0.770743 + 0.637146i \(0.780115\pi\)
\(224\) 2.79133 + 2.12191i 0.186503 + 0.141776i
\(225\) 7.09583 + 3.28288i 0.473055 + 0.218859i
\(226\) 5.11333 4.84361i 0.340134 0.322192i
\(227\) −3.38482 + 20.6465i −0.224658 + 1.37035i 0.597853 + 0.801606i \(0.296021\pi\)
−0.822511 + 0.568749i \(0.807428\pi\)
\(228\) 0.499449 0.168284i 0.0330768 0.0111449i
\(229\) 9.67774 + 24.2893i 0.639523 + 1.60508i 0.787656 + 0.616115i \(0.211294\pi\)
−0.148133 + 0.988967i \(0.547326\pi\)
\(230\) −2.93369 2.77894i −0.193442 0.183238i
\(231\) 17.5547 13.3447i 1.15501 0.878018i
\(232\) 2.34979 0.517229i 0.154272 0.0339577i
\(233\) 15.9641 + 18.7944i 1.04584 + 1.23126i 0.972243 + 0.233972i \(0.0751723\pi\)
0.0735978 + 0.997288i \(0.476552\pi\)
\(234\) 3.95785 0.430442i 0.258733 0.0281389i
\(235\) 25.0295 1.63274
\(236\) 7.55116 1.40713i 0.491539 0.0915964i
\(237\) −8.27788 −0.537706
\(238\) −22.2645 + 2.42141i −1.44319 + 0.156956i
\(239\) −13.9510 16.4243i −0.902412 1.06240i −0.997756 0.0669575i \(-0.978671\pi\)
0.0953435 0.995444i \(-0.469605\pi\)
\(240\) 3.49658 0.769656i 0.225703 0.0496811i
\(241\) −4.22840 + 3.21435i −0.272375 + 0.207054i −0.732441 0.680831i \(-0.761619\pi\)
0.460066 + 0.887885i \(0.347826\pi\)
\(242\) 20.7284 + 19.6349i 1.33247 + 1.26218i
\(243\) 0.370138 + 0.928977i 0.0237444 + 0.0595939i
\(244\) 11.9916 4.04045i 0.767686 0.258663i
\(245\) 3.06643 18.7044i 0.195907 1.19498i
\(246\) 1.96997 1.86605i 0.125600 0.118975i
\(247\) 1.90431 + 0.881027i 0.121168 + 0.0560584i
\(248\) −7.48409 5.68925i −0.475240 0.361268i
\(249\) −0.996154 6.07627i −0.0631287 0.385068i
\(250\) 4.72663 + 8.91537i 0.298938 + 0.563858i
\(251\) 0.830188 + 0.182738i 0.0524010 + 0.0115343i 0.241094 0.970502i \(-0.422494\pi\)
−0.188693 + 0.982036i \(0.560425\pi\)
\(252\) −3.18222 + 1.47225i −0.200461 + 0.0927430i
\(253\) −2.62730 + 6.59402i −0.165177 + 0.414563i
\(254\) 0.302280 5.57522i 0.0189667 0.349820i
\(255\) −12.8335 + 18.9280i −0.803663 + 1.18531i
\(256\) 0.647386 0.762162i 0.0404616 0.0476351i
\(257\) 12.3866 23.3636i 0.772655 1.45738i −0.113275 0.993564i \(-0.536134\pi\)
0.885930 0.463819i \(-0.153521\pi\)
\(258\) 3.74437 + 1.26162i 0.233114 + 0.0785453i
\(259\) 1.44100 + 26.5777i 0.0895395 + 1.65146i
\(260\) 12.2135 + 7.34860i 0.757447 + 0.455741i
\(261\) −0.643685 + 2.31835i −0.0398431 + 0.143502i
\(262\) 4.03338 + 14.5269i 0.249183 + 0.897477i
\(263\) −23.6178 + 14.2104i −1.45634 + 0.876248i −0.999909 0.0135129i \(-0.995699\pi\)
−0.456427 + 0.889761i \(0.650871\pi\)
\(264\) −3.52931 5.20534i −0.217214 0.320367i
\(265\) 17.4464 + 1.89741i 1.07173 + 0.116557i
\(266\) −1.83711 0.199798i −0.112640 0.0122504i
\(267\) 2.76478 + 4.07775i 0.169202 + 0.249554i
\(268\) −2.97699 + 1.79120i −0.181849 + 0.109415i
\(269\) −7.78113 28.0251i −0.474424 1.70872i −0.682743 0.730659i \(-0.739213\pi\)
0.208319 0.978061i \(-0.433201\pi\)
\(270\) −0.957828 + 3.44978i −0.0582915 + 0.209947i
\(271\) 22.5683 + 13.5789i 1.37093 + 0.824861i 0.994814 0.101712i \(-0.0324320\pi\)
0.376116 + 0.926573i \(0.377260\pi\)
\(272\) 0.345803 + 6.37795i 0.0209674 + 0.386720i
\(273\) −13.2285 4.45718i −0.800622 0.269761i
\(274\) −6.23868 + 11.7674i −0.376892 + 0.710894i
\(275\) 31.8322 37.4757i 1.91955 2.25987i
\(276\) 0.633390 0.934180i 0.0381256 0.0562310i
\(277\) −0.0330014 + 0.608676i −0.00198286 + 0.0365718i −0.999357 0.0358439i \(-0.988588\pi\)
0.997375 + 0.0724157i \(0.0230708\pi\)
\(278\) −0.268515 + 0.673923i −0.0161045 + 0.0404192i
\(279\) 8.53213 3.94738i 0.510805 0.236324i
\(280\) −12.2600 2.69863i −0.732675 0.161274i
\(281\) −4.48371 8.45717i −0.267475 0.504512i 0.712997 0.701167i \(-0.247337\pi\)
−0.980473 + 0.196654i \(0.936992\pi\)
\(282\) 1.13101 + 6.89883i 0.0673504 + 0.410819i
\(283\) −3.43365 2.61020i −0.204110 0.155160i 0.498126 0.867105i \(-0.334022\pi\)
−0.702236 + 0.711944i \(0.747815\pi\)
\(284\) −9.21327 4.26251i −0.546707 0.252934i
\(285\) −1.36991 + 1.29765i −0.0811467 + 0.0768662i
\(286\) 4.05065 24.7079i 0.239520 1.46101i
\(287\) −9.01615 + 3.03789i −0.532206 + 0.179321i
\(288\) 0.370138 + 0.928977i 0.0218106 + 0.0547405i
\(289\) −17.2772 16.3658i −1.01630 0.962694i
\(290\) −6.85781 + 5.21317i −0.402704 + 0.306128i
\(291\) −8.98099 + 1.97687i −0.526475 + 0.115886i
\(292\) −1.23618 1.45534i −0.0723420 0.0851675i
\(293\) −15.2822 + 1.66204i −0.892795 + 0.0970973i −0.543004 0.839730i \(-0.682713\pi\)
−0.349791 + 0.936828i \(0.613748\pi\)
\(294\) 5.29401 0.308753
\(295\) −22.4212 + 15.9241i −1.30541 + 0.927139i
\(296\) 7.59116 0.441227
\(297\) 6.25214 0.679962i 0.362786 0.0394554i
\(298\) 2.86558 + 3.37362i 0.165999 + 0.195429i
\(299\) 4.38836 0.965950i 0.253785 0.0558623i
\(300\) −6.22421 + 4.73152i −0.359355 + 0.273174i
\(301\) −10.0580 9.52741i −0.579731 0.549151i
\(302\) −2.58840 6.49640i −0.148946 0.373826i
\(303\) −19.0338 + 6.41322i −1.09346 + 0.368430i
\(304\) −0.0852652 + 0.520095i −0.00489030 + 0.0298295i
\(305\) −32.8913 + 31.1563i −1.88335 + 1.78400i
\(306\) −5.79698 2.68197i −0.331391 0.153318i
\(307\) −15.8464 12.0461i −0.904401 0.687508i 0.0458645 0.998948i \(-0.485396\pi\)
−0.950266 + 0.311440i \(0.899189\pi\)
\(308\) 3.56746 + 21.7606i 0.203275 + 1.23992i
\(309\) −4.75374 8.96650i −0.270431 0.510086i
\(310\) 32.8714 + 7.23555i 1.86697 + 0.410951i
\(311\) −6.92752 + 3.20501i −0.392824 + 0.181740i −0.606350 0.795198i \(-0.707367\pi\)
0.213527 + 0.976937i \(0.431505\pi\)
\(312\) −1.47359 + 3.69843i −0.0834256 + 0.209382i
\(313\) −0.238966 + 4.40748i −0.0135072 + 0.249125i 0.983980 + 0.178279i \(0.0570529\pi\)
−0.997487 + 0.0708466i \(0.977430\pi\)
\(314\) −2.86165 + 4.22061i −0.161492 + 0.238183i
\(315\) 8.12696 9.56779i 0.457902 0.539084i
\(316\) 3.87743 7.31361i 0.218122 0.411423i
\(317\) −3.64450 1.22797i −0.204695 0.0689699i 0.215086 0.976595i \(-0.430997\pi\)
−0.419782 + 0.907625i \(0.637893\pi\)
\(318\) 0.265370 + 4.89446i 0.0148812 + 0.274468i
\(319\) 12.9657 + 7.80118i 0.725937 + 0.436782i
\(320\) −0.957828 + 3.44978i −0.0535442 + 0.192849i
\(321\) 0.546618 + 1.96874i 0.0305092 + 0.109884i
\(322\) −3.39093 + 2.04025i −0.188969 + 0.113699i
\(323\) −1.88916 2.78630i −0.105116 0.155034i
\(324\) −0.994138 0.108119i −0.0552299 0.00600661i
\(325\) −30.9442 3.36539i −1.71648 0.186678i
\(326\) −3.93951 5.81034i −0.218189 0.321805i
\(327\) −2.18495 + 1.31464i −0.120828 + 0.0726997i
\(328\) 0.725930 + 2.61456i 0.0400828 + 0.144365i
\(329\) 6.55769 23.6187i 0.361537 1.30214i
\(330\) 19.2934 + 11.6084i 1.06207 + 0.639024i
\(331\) −1.44268 26.6087i −0.0792968 1.46254i −0.719582 0.694407i \(-0.755667\pi\)
0.640285 0.768137i \(-0.278816\pi\)
\(332\) 5.83507 + 1.96606i 0.320241 + 0.107902i
\(333\) −3.55576 + 6.70688i −0.194855 + 0.367535i
\(334\) −0.0481878 + 0.0567311i −0.00263672 + 0.00310419i
\(335\) 6.98063 10.2957i 0.381393 0.562512i
\(336\) 0.189826 3.50114i 0.0103559 0.191003i
\(337\) 4.93584 12.3880i 0.268872 0.674818i −0.731100 0.682270i \(-0.760993\pi\)
0.999972 + 0.00745212i \(0.00237211\pi\)
\(338\) −2.58647 + 1.19663i −0.140685 + 0.0650880i
\(339\) −6.87854 1.51408i −0.373591 0.0822336i
\(340\) −10.7118 20.2045i −0.580927 1.09575i
\(341\) −9.56505 58.3442i −0.517977 3.15952i
\(342\) −0.419571 0.318950i −0.0226878 0.0172468i
\(343\) 5.42882 + 2.51164i 0.293129 + 0.135616i
\(344\) −2.86856 + 2.71724i −0.154662 + 0.146504i
\(345\) −0.653749 + 3.98769i −0.0351967 + 0.214690i
\(346\) 19.5555 6.58900i 1.05131 0.354227i
\(347\) −9.11692 22.8817i −0.489422 1.22836i −0.941692 0.336475i \(-0.890765\pi\)
0.452270 0.891881i \(-0.350614\pi\)
\(348\) −1.74678 1.65464i −0.0936371 0.0886978i
\(349\) −6.59741 + 5.01522i −0.353152 + 0.268459i −0.766676 0.642034i \(-0.778091\pi\)
0.413524 + 0.910493i \(0.364298\pi\)
\(350\) 26.7728 5.89313i 1.43106 0.315001i
\(351\) −2.57737 3.03431i −0.137570 0.161960i
\(352\) 6.25214 0.679962i 0.333240 0.0362421i
\(353\) −11.3870 −0.606070 −0.303035 0.952979i \(-0.598000\pi\)
−0.303035 + 0.952979i \(0.598000\pi\)
\(354\) −5.40228 5.46035i −0.287128 0.290214i
\(355\) 36.3453 1.92901
\(356\) −4.89779 + 0.532667i −0.259582 + 0.0282313i
\(357\) 14.4987 + 17.0692i 0.767353 + 0.903397i
\(358\) −2.32660 + 0.512124i −0.122965 + 0.0270666i
\(359\) −6.99222 + 5.31535i −0.369036 + 0.280534i −0.773212 0.634147i \(-0.781351\pi\)
0.404177 + 0.914681i \(0.367558\pi\)
\(360\) −2.59927 2.46216i −0.136994 0.129767i
\(361\) 6.92981 + 17.3925i 0.364727 + 0.915396i
\(362\) −5.30836 + 1.78859i −0.279001 + 0.0940064i
\(363\) 4.61914 28.1755i 0.242442 1.47883i
\(364\) 10.1343 9.59971i 0.531181 0.503162i
\(365\) 6.20467 + 2.87058i 0.324767 + 0.150253i
\(366\) −10.0738 7.65790i −0.526565 0.400285i
\(367\) −1.19345 7.27969i −0.0622973 0.379997i −0.999512 0.0312434i \(-0.990053\pi\)
0.937214 0.348754i \(-0.113395\pi\)
\(368\) 0.528674 + 0.997185i 0.0275590 + 0.0519819i
\(369\) −2.65003 0.583315i −0.137955 0.0303662i
\(370\) −24.6666 + 11.4120i −1.28235 + 0.593280i
\(371\) 6.36140 15.9659i 0.330267 0.828909i
\(372\) −0.508961 + 9.38723i −0.0263884 + 0.486705i
\(373\) −2.19732 + 3.24080i −0.113773 + 0.167802i −0.880312 0.474395i \(-0.842667\pi\)
0.766539 + 0.642198i \(0.221977\pi\)
\(374\) −26.0055 + 30.6160i −1.34471 + 1.58312i
\(375\) 4.72663 8.91537i 0.244082 0.460388i
\(376\) −6.62497 2.23221i −0.341657 0.115118i
\(377\) −0.518592 9.56487i −0.0267089 0.492616i
\(378\) 3.00438 + 1.80768i 0.154529 + 0.0929769i
\(379\) 7.50538 27.0319i 0.385525 1.38854i −0.475384 0.879778i \(-0.657691\pi\)
0.860909 0.508758i \(-0.169895\pi\)
\(380\) −0.504811 1.81817i −0.0258963 0.0932700i
\(381\) −4.78418 + 2.87855i −0.245101 + 0.147472i
\(382\) −10.1122 14.9144i −0.517387 0.763089i
\(383\) −32.9198 3.58025i −1.68213 0.182942i −0.783419 0.621494i \(-0.786526\pi\)
−0.898706 + 0.438551i \(0.855492\pi\)
\(384\) −0.994138 0.108119i −0.0507319 0.00551743i
\(385\) −44.3052 65.3452i −2.25800 3.33030i
\(386\) −13.5078 + 8.12738i −0.687530 + 0.413673i
\(387\) −1.05706 3.80718i −0.0537333 0.193530i
\(388\) 2.46019 8.86080i 0.124897 0.449839i
\(389\) 7.52791 + 4.52939i 0.381680 + 0.229649i 0.693444 0.720510i \(-0.256092\pi\)
−0.311764 + 0.950160i \(0.600920\pi\)
\(390\) −0.771685 14.2329i −0.0390758 0.720710i
\(391\) −6.83174 2.30188i −0.345496 0.116411i
\(392\) −2.47976 + 4.67732i −0.125247 + 0.236241i
\(393\) 9.76030 11.4907i 0.492342 0.579630i
\(394\) −1.18524 + 1.74811i −0.0597118 + 0.0880683i
\(395\) −1.60452 + 29.5937i −0.0807324 + 1.48902i
\(396\) −2.32780 + 5.84234i −0.116976 + 0.293589i
\(397\) −5.84837 + 2.70574i −0.293521 + 0.135797i −0.561124 0.827732i \(-0.689631\pi\)
0.267602 + 0.963529i \(0.413769\pi\)
\(398\) −9.79313 2.15563i −0.490885 0.108052i
\(399\) 0.865592 + 1.63268i 0.0433338 + 0.0817362i
\(400\) −1.26488 7.71545i −0.0632442 0.385772i
\(401\) 18.2414 + 13.8668i 0.910933 + 0.692473i 0.951809 0.306691i \(-0.0992218\pi\)
−0.0408762 + 0.999164i \(0.513015\pi\)
\(402\) 3.15321 + 1.45883i 0.157268 + 0.0727597i
\(403\) −27.1720 + 25.7387i −1.35353 + 1.28214i
\(404\) 3.24942 19.8206i 0.161664 0.986110i
\(405\) 3.39287 1.14319i 0.168593 0.0568056i
\(406\) 3.12259 + 7.83710i 0.154971 + 0.388949i
\(407\) 34.6597 + 32.8314i 1.71802 + 1.62739i
\(408\) 5.08490 3.86544i 0.251740 0.191368i
\(409\) 21.9358 4.82844i 1.08466 0.238751i 0.363550 0.931575i \(-0.381565\pi\)
0.721107 + 0.692824i \(0.243634\pi\)
\(410\) −6.28935 7.40440i −0.310609 0.365677i
\(411\) 13.2408 1.44002i 0.653121 0.0710312i
\(412\) 10.1487 0.499990
\(413\) 9.15222 + 25.3295i 0.450351 + 1.24638i
\(414\) −1.12866 −0.0554706
\(415\) −21.9160 + 2.38351i −1.07581 + 0.117002i
\(416\) −2.57737 3.03431i −0.126366 0.148769i
\(417\) 0.708486 0.155949i 0.0346947 0.00763688i
\(418\) −2.63869 + 2.00588i −0.129062 + 0.0981107i
\(419\) −23.8652 22.6063i −1.16589 1.10439i −0.992837 0.119476i \(-0.961878\pi\)
−0.173052 0.984913i \(-0.555363\pi\)
\(420\) 4.64653 + 11.6619i 0.226727 + 0.569042i
\(421\) 17.2125 5.79956i 0.838885 0.282653i 0.133121 0.991100i \(-0.457500\pi\)
0.705764 + 0.708447i \(0.250604\pi\)
\(422\) −2.34191 + 14.2850i −0.114002 + 0.695384i
\(423\) 5.07538 4.80765i 0.246773 0.233756i
\(424\) −4.44861 2.05815i −0.216044 0.0999525i
\(425\) 39.7560 + 30.2217i 1.92845 + 1.46597i
\(426\) 1.64233 + 10.0178i 0.0795713 + 0.485363i
\(427\) 20.7826 + 39.2002i 1.00574 + 1.89703i
\(428\) −1.99545 0.439231i −0.0964535 0.0212310i
\(429\) −22.7236 + 10.5131i −1.09711 + 0.507576i
\(430\) 5.23613 13.1417i 0.252509 0.633749i
\(431\) −0.556137 + 10.2573i −0.0267882 + 0.494079i 0.954098 + 0.299495i \(0.0968182\pi\)
−0.980886 + 0.194583i \(0.937665\pi\)
\(432\) 0.561187 0.827689i 0.0270001 0.0398222i
\(433\) −15.3610 + 18.0844i −0.738204 + 0.869081i −0.995253 0.0973172i \(-0.968974\pi\)
0.257049 + 0.966398i \(0.417250\pi\)
\(434\) 15.4400 29.1229i 0.741142 1.39794i
\(435\) 8.16340 + 2.75057i 0.391405 + 0.131880i
\(436\) −0.138052 2.54621i −0.00661148 0.121942i
\(437\) −0.509699 0.306675i −0.0243822 0.0146703i
\(438\) −0.510844 + 1.83989i −0.0244091 + 0.0879135i
\(439\) 8.11210 + 29.2171i 0.387169 + 1.39446i 0.858641 + 0.512577i \(0.171309\pi\)
−0.471472 + 0.881881i \(0.656277\pi\)
\(440\) −19.2934 + 11.6084i −0.919776 + 0.553411i
\(441\) −2.97093 4.38180i −0.141473 0.208657i
\(442\) 25.2801 + 2.74937i 1.20245 + 0.130774i
\(443\) −11.6007 1.26165i −0.551164 0.0599427i −0.171700 0.985149i \(-0.554926\pi\)
−0.379464 + 0.925207i \(0.623892\pi\)
\(444\) −4.26006 6.28312i −0.202174 0.298184i
\(445\) 15.1140 9.09380i 0.716473 0.431087i
\(446\) 4.02749 + 14.5057i 0.190707 + 0.686866i
\(447\) 1.18418 4.26504i 0.0560099 0.201730i
\(448\) 3.00438 + 1.80768i 0.141944 + 0.0854047i
\(449\) −0.691247 12.7493i −0.0326220 0.601677i −0.968448 0.249215i \(-0.919827\pi\)
0.935826 0.352462i \(-0.114655\pi\)
\(450\) 7.40917 + 2.49644i 0.349272 + 0.117683i
\(451\) −7.99340 + 15.0772i −0.376395 + 0.709956i
\(452\) 4.55967 5.36806i 0.214469 0.252492i
\(453\) −3.92442 + 5.78809i −0.184385 + 0.271948i
\(454\) −1.13270 + 20.8914i −0.0531602 + 0.980482i
\(455\) −18.4987 + 46.4282i −0.867232 + 2.17659i
\(456\) 0.478327 0.221297i 0.0223997 0.0103632i
\(457\) −19.2123 4.22896i −0.898716 0.197822i −0.258494 0.966013i \(-0.583226\pi\)
−0.640221 + 0.768190i \(0.721157\pi\)
\(458\) 12.2471 + 23.1006i 0.572272 + 1.07942i
\(459\) 1.03335 + 6.30318i 0.0482328 + 0.294207i
\(460\) −3.21695 2.44546i −0.149991 0.114020i
\(461\) 31.2390 + 14.4527i 1.45495 + 0.673130i 0.978533 0.206092i \(-0.0660746\pi\)
0.476413 + 0.879222i \(0.341937\pi\)
\(462\) 16.0090 15.1645i 0.744804 0.705516i
\(463\) −1.45164 + 8.85462i −0.0674635 + 0.411509i 0.931406 + 0.363981i \(0.118583\pi\)
−0.998870 + 0.0475282i \(0.984866\pi\)
\(464\) 2.28010 0.768254i 0.105851 0.0356653i
\(465\) −12.4582 31.2678i −0.577737 1.45001i
\(466\) 17.9025 + 16.9582i 0.829318 + 0.785572i
\(467\) 5.35193 4.06843i 0.247658 0.188264i −0.473980 0.880536i \(-0.657183\pi\)
0.721637 + 0.692271i \(0.243390\pi\)
\(468\) 3.88811 0.855838i 0.179728 0.0395611i
\(469\) −7.88642 9.28461i −0.364161 0.428724i
\(470\) 24.8828 2.70617i 1.14776 0.124826i
\(471\) 5.09927 0.234962
\(472\) 7.35476 2.21531i 0.338530 0.101968i
\(473\) −24.8491 −1.14257
\(474\) −8.22936 + 0.894997i −0.377987 + 0.0411086i
\(475\) 2.66763 + 3.14058i 0.122399 + 0.144100i
\(476\) −21.8722 + 4.81442i −1.00251 + 0.220669i
\(477\) 3.90217 2.96635i 0.178668 0.135820i
\(478\) −15.6450 14.8197i −0.715584 0.677837i
\(479\) −2.63995 6.62577i −0.120622 0.302739i 0.856250 0.516561i \(-0.172788\pi\)
−0.976873 + 0.213822i \(0.931409\pi\)
\(480\) 3.39287 1.14319i 0.154863 0.0521793i
\(481\) 4.88935 29.8237i 0.222935 1.35984i
\(482\) −3.85608 + 3.65268i −0.175640 + 0.166375i
\(483\) 3.59164 + 1.66167i 0.163425 + 0.0756086i
\(484\) 22.7298 + 17.2787i 1.03317 + 0.785396i
\(485\) 5.32655 + 32.4905i 0.241866 + 1.47532i
\(486\) 0.468408 + 0.883512i 0.0212474 + 0.0400769i
\(487\) −35.4880 7.81149i −1.60811 0.353972i −0.682039 0.731316i \(-0.738907\pi\)
−0.926073 + 0.377343i \(0.876838\pi\)
\(488\) 11.4845 5.31329i 0.519878 0.240521i
\(489\) −2.59835 + 6.52137i −0.117502 + 0.294907i
\(490\) 1.02615 18.9263i 0.0463569 0.855002i
\(491\) 16.1736 23.8543i 0.729906 1.07653i −0.263808 0.964575i \(-0.584978\pi\)
0.993713 0.111955i \(-0.0357112\pi\)
\(492\) 1.75666 2.06810i 0.0791964 0.0932373i
\(493\) −7.19859 + 13.5780i −0.324208 + 0.611521i
\(494\) 1.98840 + 0.669970i 0.0894624 + 0.0301434i
\(495\) −1.21902 22.4834i −0.0547907 1.01055i
\(496\) −8.05533 4.84673i −0.361695 0.217625i
\(497\) 9.52243 34.2967i 0.427139 1.53842i
\(498\) −1.64728 5.93295i −0.0738162 0.265862i
\(499\) 26.1427 15.7295i 1.17031 0.704150i 0.208539 0.978014i \(-0.433129\pi\)
0.961769 + 0.273864i \(0.0883017\pi\)
\(500\) 5.66285 + 8.35207i 0.253250 + 0.373516i
\(501\) 0.0739981 + 0.00804778i 0.00330599 + 0.000359548i
\(502\) 0.845079 + 0.0919078i 0.0377177 + 0.00410205i
\(503\) 10.1412 + 14.9571i 0.452173 + 0.666906i 0.983634 0.180177i \(-0.0576671\pi\)
−0.531461 + 0.847083i \(0.678357\pi\)
\(504\) −3.00438 + 1.80768i −0.133826 + 0.0805203i
\(505\) 19.2381 + 69.2894i 0.856085 + 3.08334i
\(506\) −1.89896 + 6.83943i −0.0844190 + 0.304050i
\(507\) 2.44193 + 1.46926i 0.108450 + 0.0652521i
\(508\) −0.302280 5.57522i −0.0134115 0.247360i
\(509\) −0.623325 0.210023i −0.0276284 0.00930909i 0.305453 0.952207i \(-0.401192\pi\)
−0.333082 + 0.942898i \(0.608089\pi\)
\(510\) −10.7118 + 20.2045i −0.474325 + 0.894672i
\(511\) 4.33439 5.10284i 0.191742 0.225737i
\(512\) 0.561187 0.827689i 0.0248012 0.0365790i
\(513\) −0.0285333 + 0.526265i −0.00125977 + 0.0232352i
\(514\) 9.78795 24.5659i 0.431728 1.08355i
\(515\) −32.9770 + 15.2568i −1.45314 + 0.672294i
\(516\) 3.85883 + 0.849392i 0.169875 + 0.0373924i
\(517\) −20.5940 38.8445i −0.905725 1.70838i
\(518\) 4.30611 + 26.2661i 0.189200 + 1.15407i
\(519\) −16.4279 12.4882i −0.721106 0.548170i
\(520\) 12.9364 + 5.98501i 0.567298 + 0.262460i
\(521\) 13.4396 12.7306i 0.588799 0.557740i −0.334220 0.942495i \(-0.608473\pi\)
0.923019 + 0.384755i \(0.125714\pi\)
\(522\) −0.389255 + 2.37435i −0.0170372 + 0.103922i
\(523\) −23.3871 + 7.88005i −1.02265 + 0.344570i −0.780157 0.625583i \(-0.784861\pi\)
−0.242491 + 0.970154i \(0.577964\pi\)
\(524\) 5.58038 + 14.0057i 0.243780 + 0.611841i
\(525\) −19.9022 18.8524i −0.868603 0.822785i
\(526\) −21.9429 + 16.6806i −0.956757 + 0.727308i
\(527\) 58.6435 12.9084i 2.55455 0.562299i
\(528\) −4.07142 4.79324i −0.177186 0.208599i
\(529\) 21.5988 2.34901i 0.939077 0.102131i
\(530\) 17.5493 0.762293
\(531\) −1.48778 + 7.53568i −0.0645642 + 0.327021i
\(532\) −1.84794 −0.0801185
\(533\) 10.7395 1.16799i 0.465180 0.0505913i
\(534\) 3.18946 + 3.75492i 0.138021 + 0.162491i
\(535\) 7.14427 1.57257i 0.308874 0.0679882i
\(536\) −2.76588 + 2.10257i −0.119468 + 0.0908171i
\(537\) 1.72954 + 1.63831i 0.0746351 + 0.0706981i
\(538\) −10.7656 27.0195i −0.464136 1.16489i
\(539\) −31.5513 + 10.6309i −1.35901 + 0.457903i
\(540\) −0.579226 + 3.53312i −0.0249259 + 0.152041i
\(541\) 7.25454 6.87187i 0.311897 0.295445i −0.515698 0.856771i \(-0.672467\pi\)
0.827595 + 0.561326i \(0.189709\pi\)
\(542\) 23.9042 + 11.0593i 1.02677 + 0.475036i
\(543\) 4.45938 + 3.38993i 0.191370 + 0.145476i
\(544\) 1.03335 + 6.30318i 0.0443047 + 0.270247i
\(545\) 4.27636 + 8.06608i 0.183179 + 0.345513i
\(546\) −13.6328 3.00081i −0.583431 0.128423i
\(547\) 14.7419 6.82035i 0.630320 0.291617i −0.0785999 0.996906i \(-0.525045\pi\)
0.708920 + 0.705289i \(0.249183\pi\)
\(548\) −4.92983 + 12.3729i −0.210592 + 0.528546i
\(549\) −0.685076 + 12.6355i −0.0292383 + 0.539269i
\(550\) 27.5937 40.6977i 1.17660 1.73536i
\(551\) −0.820936 + 0.966480i −0.0349730 + 0.0411734i
\(552\) 0.528674 0.997185i 0.0225019 0.0424430i
\(553\) 27.5052 + 9.26760i 1.16964 + 0.394098i
\(554\) 0.0330014 + 0.608676i 0.00140210 + 0.0258602i
\(555\) 23.2881 + 14.0120i 0.988525 + 0.594776i
\(556\) −0.194077 + 0.699004i −0.00823071 + 0.0296444i
\(557\) −2.26154 8.14534i −0.0958246 0.345129i 0.900059 0.435768i \(-0.143523\pi\)
−0.995884 + 0.0906384i \(0.971109\pi\)
\(558\) 8.05533 4.84673i 0.341009 0.205178i
\(559\) 8.82774 + 13.0199i 0.373374 + 0.550685i
\(560\) −12.4799 1.35727i −0.527372 0.0573552i
\(561\) 39.9345 + 4.34313i 1.68603 + 0.183367i
\(562\) −5.37180 7.92282i −0.226596 0.334204i
\(563\) 20.2089 12.1593i 0.851702 0.512452i −0.0215237 0.999768i \(-0.506852\pi\)
0.873226 + 0.487316i \(0.162024\pi\)
\(564\) 1.87027 + 6.73610i 0.0787526 + 0.283641i
\(565\) −6.74618 + 24.2975i −0.283814 + 1.02220i
\(566\) −3.69574 2.22365i −0.155343 0.0934671i
\(567\) −0.189826 3.50114i −0.00797195 0.147034i
\(568\) −9.62012 3.24140i −0.403651 0.136006i
\(569\) −15.6532 + 29.5250i −0.656214 + 1.23775i 0.302437 + 0.953169i \(0.402200\pi\)
−0.958652 + 0.284582i \(0.908145\pi\)
\(570\) −1.22158 + 1.43816i −0.0511665 + 0.0602378i
\(571\) −3.43037 + 5.05942i −0.143557 + 0.211730i −0.892669 0.450713i \(-0.851170\pi\)
0.749113 + 0.662443i \(0.230480\pi\)
\(572\) 1.35552 25.0010i 0.0566770 1.04534i
\(573\) −6.66966 + 16.7396i −0.278629 + 0.699306i
\(574\) −8.63484 + 3.99490i −0.360411 + 0.166744i
\(575\) 8.61806 + 1.89698i 0.359398 + 0.0791095i
\(576\) 0.468408 + 0.883512i 0.0195170 + 0.0368130i
\(577\) 0.737492 + 4.49850i 0.0307022 + 0.187275i 0.997725 0.0674144i \(-0.0214750\pi\)
−0.967023 + 0.254690i \(0.918027\pi\)
\(578\) −18.9453 14.4019i −0.788022 0.599039i
\(579\) 14.3074 + 6.61929i 0.594594 + 0.275088i
\(580\) −6.25397 + 5.92407i −0.259682 + 0.245984i
\(581\) −3.49280 + 21.3051i −0.144906 + 0.883885i
\(582\) −8.71461 + 2.93629i −0.361232 + 0.121713i
\(583\) −11.4101 28.6371i −0.472557 1.18603i
\(584\) −1.38628 1.31316i −0.0573648 0.0543388i
\(585\) −11.3473 + 8.62603i −0.469155 + 0.356642i
\(586\) −15.0129 + 3.30459i −0.620177 + 0.136511i
\(587\) −3.06592 3.60948i −0.126544 0.148979i 0.695241 0.718777i \(-0.255298\pi\)
−0.821785 + 0.569797i \(0.807022\pi\)
\(588\) 5.26298 0.572383i 0.217042 0.0236047i
\(589\) 4.95469 0.204155
\(590\) −20.5681 + 18.2549i −0.846774 + 0.751544i
\(591\) 2.11203 0.0868774
\(592\) 7.54666 0.820749i 0.310166 0.0337326i
\(593\) 4.52984 + 5.33294i 0.186018 + 0.218998i 0.847264 0.531171i \(-0.178248\pi\)
−0.661246 + 0.750169i \(0.729972\pi\)
\(594\) 6.14198 1.35195i 0.252008 0.0554712i
\(595\) 63.8333 48.5248i 2.61691 1.98932i
\(596\) 3.21354 + 3.04402i 0.131632 + 0.124688i
\(597\) 3.71159 + 9.31538i 0.151905 + 0.381253i
\(598\) 4.25819 1.43475i 0.174131 0.0586714i
\(599\) −1.72180 + 10.5025i −0.0703508 + 0.429121i 0.928043 + 0.372472i \(0.121490\pi\)
−0.998394 + 0.0566489i \(0.981958\pi\)
\(600\) −5.67616 + 5.37674i −0.231728 + 0.219504i
\(601\) 14.7641 + 6.83060i 0.602240 + 0.278626i 0.697224 0.716853i \(-0.254418\pi\)
−0.0949846 + 0.995479i \(0.530280\pi\)
\(602\) −11.0291 8.38410i −0.449512 0.341710i
\(603\) −0.562082 3.42855i −0.0228898 0.139621i
\(604\) −3.27561 6.17846i −0.133283 0.251398i
\(605\) −99.8331 21.9749i −4.05879 0.893408i
\(606\) −18.2288 + 8.43354i −0.740494 + 0.342589i
\(607\) −9.65782 + 24.2393i −0.391999 + 0.983843i 0.592043 + 0.805906i \(0.298322\pi\)
−0.984042 + 0.177937i \(0.943058\pi\)
\(608\) −0.0285333 + 0.526265i −0.00115718 + 0.0213429i
\(609\) 4.73433 6.98261i 0.191845 0.282950i
\(610\) −29.3299 + 34.5298i −1.18753 + 1.39807i
\(611\) −13.0368 + 24.5901i −0.527414 + 0.994808i
\(612\) −6.05297 2.03948i −0.244677 0.0824412i
\(613\) −0.891755 16.4475i −0.0360176 0.664306i −0.959679 0.281097i \(-0.909302\pi\)
0.923662 0.383209i \(-0.125181\pi\)
\(614\) −17.0559 10.2622i −0.688321 0.414149i
\(615\) −2.59904 + 9.36088i −0.104803 + 0.377467i
\(616\) 5.89928 + 21.2473i 0.237689 + 0.856077i
\(617\) −29.0949 + 17.5058i −1.17132 + 0.704757i −0.961989 0.273089i \(-0.911955\pi\)
−0.209327 + 0.977846i \(0.567127\pi\)
\(618\) −5.69532 8.39996i −0.229099 0.337896i
\(619\) 6.06310 + 0.659402i 0.243697 + 0.0265036i 0.229152 0.973391i \(-0.426405\pi\)
0.0145445 + 0.999894i \(0.495370\pi\)
\(620\) 33.4610 + 3.63911i 1.34383 + 0.146150i
\(621\) 0.633390 + 0.934180i 0.0254170 + 0.0374873i
\(622\) −6.54039 + 3.93522i −0.262246 + 0.157788i
\(623\) −4.62136 16.6446i −0.185151 0.666854i
\(624\) −1.06508 + 3.83607i −0.0426374 + 0.153566i
\(625\) 2.53986 + 1.52818i 0.101594 + 0.0611272i
\(626\) 0.238966 + 4.40748i 0.00955102 + 0.176158i
\(627\) 3.14104 + 1.05834i 0.125441 + 0.0422660i
\(628\) −2.38854 + 4.50527i −0.0953132 + 0.179780i
\(629\) −31.3899 + 36.9551i −1.25160 + 1.47350i
\(630\) 7.04486 10.3904i 0.280674 0.413963i
\(631\) 0.0118974 0.219435i 0.000473628 0.00873556i −0.998287 0.0585062i \(-0.981366\pi\)
0.998761 + 0.0497706i \(0.0158490\pi\)
\(632\) 3.06396 7.68996i 0.121878 0.305890i
\(633\) 13.1378 6.07820i 0.522181 0.241587i
\(634\) −3.75590 0.826736i −0.149166 0.0328339i
\(635\) 9.36357 + 17.6616i 0.371582 + 0.700878i
\(636\) 0.792998 + 4.83708i 0.0314444 + 0.191803i
\(637\) 16.7788 + 12.7549i 0.664801 + 0.505369i
\(638\) 13.7331 + 6.35361i 0.543699 + 0.251542i
\(639\) 7.36996 6.98119i 0.291551 0.276172i
\(640\) −0.579226 + 3.53312i −0.0228959 + 0.139659i
\(641\) 5.18014 1.74539i 0.204603 0.0689389i −0.215134 0.976585i \(-0.569019\pi\)
0.419737 + 0.907646i \(0.362122\pi\)
\(642\) 0.756272 + 1.89810i 0.0298477 + 0.0749120i
\(643\) 12.0141 + 11.3803i 0.473789 + 0.448797i 0.886953 0.461860i \(-0.152818\pi\)
−0.413164 + 0.910657i \(0.635576\pi\)
\(644\) −3.15046 + 2.39492i −0.124145 + 0.0943730i
\(645\) −13.8157 + 3.04106i −0.543993 + 0.119742i
\(646\) −2.17934 2.56571i −0.0857448 0.100947i
\(647\) −21.0554 + 2.28991i −0.827774 + 0.0900258i −0.512190 0.858872i \(-0.671166\pi\)
−0.315584 + 0.948898i \(0.602200\pi\)
\(648\) −1.00000 −0.0392837
\(649\) 43.1614 + 21.6943i 1.69423 + 0.851576i
\(650\) −31.1267 −1.22089
\(651\) −32.7694 + 3.56389i −1.28433 + 0.139680i
\(652\) −4.54462 5.35034i −0.177981 0.209535i
\(653\) 2.81806 0.620302i 0.110279 0.0242743i −0.159488 0.987200i \(-0.550984\pi\)
0.269767 + 0.962926i \(0.413053\pi\)
\(654\) −2.03000 + 1.54317i −0.0793793 + 0.0603426i
\(655\) −39.1878 37.1207i −1.53120 1.45043i
\(656\) 1.00436 + 2.52075i 0.0392136 + 0.0984187i
\(657\) 1.80954 0.609704i 0.0705968 0.0237868i
\(658\) 3.96562 24.1892i 0.154596 0.942995i
\(659\) −15.7017 + 14.8734i −0.611650 + 0.579386i −0.929531 0.368745i \(-0.879787\pi\)
0.317881 + 0.948131i \(0.397029\pi\)
\(660\) 20.4354 + 9.45441i 0.795446 + 0.368012i
\(661\) −18.4627 14.0350i −0.718115 0.545897i 0.181068 0.983471i \(-0.442045\pi\)
−0.899182 + 0.437574i \(0.855838\pi\)
\(662\) −4.31112 26.2967i −0.167557 1.02205i
\(663\) −11.9112 22.4669i −0.462594 0.872544i
\(664\) 6.01343 + 1.32366i 0.233366 + 0.0513678i
\(665\) 6.00467 2.77806i 0.232851 0.107728i
\(666\) −2.80978 + 7.05201i −0.108877 + 0.273260i
\(667\) −0.147020 + 2.71163i −0.00569264 + 0.104995i
\(668\) −0.0417716 + 0.0616085i −0.00161619 + 0.00238371i
\(669\) 9.74605 11.4739i 0.376804 0.443608i
\(670\) 5.82656 10.9901i 0.225100 0.424583i
\(671\) 75.4155 + 25.4104i 2.91138 + 0.980959i
\(672\) −0.189826 3.50114i −0.00732271 0.135059i
\(673\) −18.8181 11.3225i −0.725384 0.436449i 0.104399 0.994536i \(-0.466708\pi\)
−0.829783 + 0.558087i \(0.811536\pi\)
\(674\) 3.56752 12.8491i 0.137416 0.494927i
\(675\) −2.09166 7.53346i −0.0805079 0.289963i
\(676\) −2.44193 + 1.46926i −0.0939203 + 0.0565100i
\(677\) 22.7775 + 33.5944i 0.875412 + 1.29114i 0.955693 + 0.294364i \(0.0951078\pi\)
−0.0802812 + 0.996772i \(0.525582\pi\)
\(678\) −7.00192 0.761504i −0.268907 0.0292454i
\(679\) 32.0547 + 3.48616i 1.23015 + 0.133787i
\(680\) −12.8335 18.9280i −0.492141 0.725854i
\(681\) 17.9272 10.7865i 0.686973 0.413338i
\(682\) −15.8171 56.9681i −0.605668 2.18142i
\(683\) 7.23912 26.0730i 0.276997 0.997654i −0.685880 0.727715i \(-0.740582\pi\)
0.962877 0.269940i \(-0.0870038\pi\)
\(684\) −0.451596 0.271716i −0.0172672 0.0103893i
\(685\) −2.58164 47.6155i −0.0986393 1.81929i
\(686\) 5.66855 + 1.90996i 0.216426 + 0.0729225i
\(687\) 12.2471 23.1006i 0.467258 0.881342i
\(688\) −2.55795 + 3.01146i −0.0975211 + 0.114811i
\(689\) −10.9512 + 16.1518i −0.417208 + 0.615336i
\(690\) −0.218771 + 4.03500i −0.00832848 + 0.153610i
\(691\) 1.99072 4.99632i 0.0757304 0.190069i −0.886238 0.463231i \(-0.846690\pi\)
0.961968 + 0.273162i \(0.0880694\pi\)
\(692\) 18.7284 8.66470i 0.711948 0.329382i
\(693\) −21.5355 4.74032i −0.818066 0.180070i
\(694\) −11.5374 21.7619i −0.437955 0.826070i
\(695\) −0.420197 2.56309i −0.0159390 0.0972235i
\(696\) −1.91544 1.45608i −0.0726044 0.0551925i
\(697\) −15.7299 7.27743i −0.595813 0.275652i
\(698\) −6.01650 + 5.69913i −0.227728 + 0.215715i
\(699\) 3.98943 24.3344i 0.150894 0.920412i
\(700\) 25.9786 8.75323i 0.981901 0.330841i
\(701\) −11.8447 29.7279i −0.447367 1.12281i −0.963835 0.266501i \(-0.914133\pi\)
0.516467 0.856307i \(-0.327247\pi\)
\(702\) −2.89033 2.73786i −0.109088 0.103334i
\(703\) −3.18503 + 2.42120i −0.120126 + 0.0913172i
\(704\) 6.14198 1.35195i 0.231484 0.0509536i
\(705\) −16.2038 19.0765i −0.610269 0.718464i
\(706\) −11.3203 + 1.23115i −0.426044 + 0.0463350i
\(707\) 70.4242 2.64857
\(708\) −5.96098 4.84425i −0.224027 0.182058i
\(709\) −15.1327 −0.568320 −0.284160 0.958777i \(-0.591715\pi\)
−0.284160 + 0.958777i \(0.591715\pi\)
\(710\) 36.1323 3.92962i 1.35602 0.147476i
\(711\) 5.35899 + 6.30909i 0.200978 + 0.236609i
\(712\) −4.81149 + 1.05909i −0.180318 + 0.0396910i
\(713\) 8.44699 6.42123i 0.316342 0.240477i
\(714\) 16.2592 + 15.4015i 0.608486 + 0.576388i
\(715\) 33.1800 + 83.2756i 1.24086 + 3.11433i
\(716\) −2.25759 + 0.760672i −0.0843702 + 0.0284276i
\(717\) −3.48635 + 21.2658i −0.130200 + 0.794185i
\(718\) −6.37655 + 6.04018i −0.237971 + 0.225418i
\(719\) −29.8800 13.8239i −1.11433 0.515546i −0.225716 0.974193i \(-0.572472\pi\)
−0.888618 + 0.458647i \(0.848334\pi\)
\(720\) −2.85024 2.16670i −0.106222 0.0807480i
\(721\) 5.75688 + 35.1154i 0.214397 + 1.30777i
\(722\) 8.76965 + 16.5413i 0.326373 + 0.615604i
\(723\) 5.18726 + 1.14180i 0.192916 + 0.0424641i
\(724\) −5.08386 + 2.35204i −0.188940 + 0.0874130i
\(725\) 6.96287 17.4755i 0.258594 0.649023i
\(726\) 1.54575 28.5098i 0.0573683 1.05810i
\(727\) 10.4846 15.4636i 0.388853 0.573515i −0.582001 0.813188i \(-0.697730\pi\)
0.970854 + 0.239674i \(0.0770404\pi\)
\(728\) 9.03698 10.6392i 0.334933 0.394313i
\(729\) 0.468408 0.883512i 0.0173485 0.0327227i
\(730\) 6.47866 + 2.18291i 0.239786 + 0.0807933i
\(731\) −1.36634 25.2006i −0.0505358 0.932078i
\(732\) −10.8427 6.52384i −0.400758 0.241128i
\(733\) −6.00433 + 21.6256i −0.221775 + 0.798761i 0.765996 + 0.642846i \(0.222246\pi\)
−0.987770 + 0.155915i \(0.950167\pi\)
\(734\) −1.97352 7.10798i −0.0728440 0.262361i
\(735\) −16.2409 + 9.77185i −0.599056 + 0.360440i
\(736\) 0.633390 + 0.934180i 0.0233470 + 0.0344343i
\(737\) −21.7219 2.36240i −0.800138 0.0870202i
\(738\) −2.69756 0.293378i −0.0992986 0.0107994i
\(739\) 10.6176 + 15.6598i 0.390576 + 0.576056i 0.971245 0.238084i \(-0.0765193\pi\)
−0.580669 + 0.814140i \(0.697209\pi\)
\(740\) −23.2881 + 14.0120i −0.856088 + 0.515091i
\(741\) −0.561338 2.02176i −0.0206213 0.0742711i
\(742\) 4.59789 16.5601i 0.168794 0.607941i
\(743\) −0.191654 0.115315i −0.00703112 0.00423048i 0.512034 0.858965i \(-0.328892\pi\)
−0.519065 + 0.854735i \(0.673720\pi\)
\(744\) 0.508961 + 9.38723i 0.0186594 + 0.344153i
\(745\) −15.0181 5.06020i −0.550222 0.185391i
\(746\) −1.83404 + 3.45937i −0.0671491 + 0.126657i
\(747\) −3.98621 + 4.69293i −0.145848 + 0.171705i
\(748\) −22.5428 + 33.2482i −0.824248 + 1.21567i
\(749\) 0.387856 7.15358i 0.0141720 0.261386i
\(750\) 3.73500 9.37415i 0.136383 0.342296i
\(751\) 1.14675 0.530545i 0.0418456 0.0193599i −0.398855 0.917014i \(-0.630592\pi\)
0.440700 + 0.897654i \(0.354730\pi\)
\(752\) −6.82748 1.50284i −0.248973 0.0548030i
\(753\) −0.398176 0.751040i −0.0145103 0.0273694i
\(754\) −1.54970 9.45274i −0.0564366 0.344248i
\(755\) 19.9319 + 15.1519i 0.725397 + 0.551433i
\(756\) 3.18222 + 1.47225i 0.115736 + 0.0535452i
\(757\) 24.3897 23.1031i 0.886457 0.839697i −0.101434 0.994842i \(-0.532343\pi\)
0.987892 + 0.155145i \(0.0495846\pi\)
\(758\) 4.53872 27.6849i 0.164854 1.00556i
\(759\) 6.72659 2.26645i 0.244160 0.0822670i
\(760\)