Properties

Label 260.2.p.d.207.1
Level $260$
Weight $2$
Character 260.207
Analytic conductor $2.076$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 260.p (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.07611045255\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 207.1
Character \(\chi\) \(=\) 260.207
Dual form 260.2.p.d.103.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.41384 + 0.0324895i) q^{2} +(-2.32949 - 2.32949i) q^{3} +(1.99789 - 0.0918700i) q^{4} +(2.23599 - 0.0191440i) q^{5} +(3.36921 + 3.21784i) q^{6} +(1.97121 + 1.97121i) q^{7} +(-2.82171 + 0.194800i) q^{8} +7.85303i q^{9} +O(q^{10})\) \(q+(-1.41384 + 0.0324895i) q^{2} +(-2.32949 - 2.32949i) q^{3} +(1.99789 - 0.0918700i) q^{4} +(2.23599 - 0.0191440i) q^{5} +(3.36921 + 3.21784i) q^{6} +(1.97121 + 1.97121i) q^{7} +(-2.82171 + 0.194800i) q^{8} +7.85303i q^{9} +(-3.16071 + 0.0997126i) q^{10} +2.76564 q^{11} +(-4.86807 - 4.44005i) q^{12} +(3.56433 - 0.543628i) q^{13} +(-2.85102 - 2.72293i) q^{14} +(-5.25330 - 5.16411i) q^{15} +(3.98312 - 0.367092i) q^{16} +(-1.79865 - 1.79865i) q^{17} +(-0.255141 - 11.1029i) q^{18} +2.06756i q^{19} +(4.46549 - 0.243668i) q^{20} -9.18381i q^{21} +(-3.91017 + 0.0898542i) q^{22} +(1.07900 + 1.07900i) q^{23} +(7.02693 + 6.11936i) q^{24} +(4.99927 - 0.0856113i) q^{25} +(-5.02174 + 0.884407i) q^{26} +(11.3051 - 11.3051i) q^{27} +(4.11935 + 3.75716i) q^{28} -7.19247i q^{29} +(7.59511 + 7.13055i) q^{30} -2.08767 q^{31} +(-5.61957 + 0.648419i) q^{32} +(-6.44252 - 6.44252i) q^{33} +(2.60144 + 2.48457i) q^{34} +(4.44533 + 4.36986i) q^{35} +(0.721458 + 15.6895i) q^{36} +(-2.10529 + 2.10529i) q^{37} +(-0.0671739 - 2.92320i) q^{38} +(-9.56945 - 7.03670i) q^{39} +(-6.30558 + 0.489589i) q^{40} +2.07353i q^{41} +(0.298378 + 12.9844i) q^{42} +(1.37442 + 1.37442i) q^{43} +(5.52543 - 0.254079i) q^{44} +(0.150338 + 17.5593i) q^{45} +(-1.56059 - 1.49048i) q^{46} +(-3.03509 - 3.03509i) q^{47} +(-10.1338 - 8.42350i) q^{48} +0.771320i q^{49} +(-7.06538 + 0.283465i) q^{50} +8.37988i q^{51} +(7.07120 - 1.41356i) q^{52} +(-4.80760 + 4.80760i) q^{53} +(-15.6163 + 16.3509i) q^{54} +(6.18392 - 0.0529453i) q^{55} +(-5.94617 - 5.17819i) q^{56} +(4.81635 - 4.81635i) q^{57} +(0.233680 + 10.1690i) q^{58} -9.65260i q^{59} +(-10.9699 - 9.83469i) q^{60} +6.83718 q^{61} +(2.95163 - 0.0678274i) q^{62} +(-15.4800 + 15.4800i) q^{63} +(7.92411 - 1.09934i) q^{64} +(7.95939 - 1.28378i) q^{65} +(9.31801 + 8.89938i) q^{66} +(10.5309 + 10.5309i) q^{67} +(-3.75875 - 3.42827i) q^{68} -5.02705i q^{69} +(-6.42696 - 6.03385i) q^{70} -3.76638 q^{71} +(-1.52977 - 22.1590i) q^{72} +(0.228478 + 0.228478i) q^{73} +(2.90815 - 3.04495i) q^{74} +(-11.8452 - 11.4463i) q^{75} +(0.189946 + 4.13075i) q^{76} +(5.45164 + 5.45164i) q^{77} +(13.7583 + 9.63786i) q^{78} -3.36550 q^{79} +(8.89917 - 0.897065i) q^{80} -29.1110 q^{81} +(-0.0673679 - 2.93164i) q^{82} +(2.38904 - 2.38904i) q^{83} +(-0.843717 - 18.3482i) q^{84} +(-4.05619 - 3.98733i) q^{85} +(-1.98786 - 1.89855i) q^{86} +(-16.7548 + 16.7548i) q^{87} +(-7.80383 + 0.538746i) q^{88} +3.39594 q^{89} +(-0.783047 - 24.8211i) q^{90} +(8.09764 + 5.95444i) q^{91} +(2.25486 + 2.05660i) q^{92} +(4.86321 + 4.86321i) q^{93} +(4.38974 + 4.19252i) q^{94} +(0.0395813 + 4.62303i) q^{95} +(14.6012 + 11.5802i) q^{96} +(5.33246 - 5.33246i) q^{97} +(-0.0250598 - 1.09052i) q^{98} +21.7186i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q+O(q^{10}) \) Copy content Toggle raw display \( 64 q - 24 q^{12} - 4 q^{16} - 40 q^{17} - 36 q^{22} + 44 q^{26} + 24 q^{30} + 28 q^{36} + 16 q^{38} - 44 q^{40} + 8 q^{42} - 44 q^{48} + 56 q^{52} - 48 q^{53} - 64 q^{56} + 80 q^{61} + 20 q^{62} - 72 q^{65} - 24 q^{66} - 76 q^{68} - 112 q^{77} - 20 q^{78} + 80 q^{81} + 52 q^{82} - 152 q^{88} - 64 q^{90} + 56 q^{92}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).

\(n\) \(41\) \(131\) \(157\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{1}{4}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.41384 + 0.0324895i −0.999736 + 0.0229736i
\(3\) −2.32949 2.32949i −1.34493 1.34493i −0.891075 0.453856i \(-0.850048\pi\)
−0.453856 0.891075i \(-0.649952\pi\)
\(4\) 1.99789 0.0918700i 0.998944 0.0459350i
\(5\) 2.23599 0.0191440i 0.999963 0.00856145i
\(6\) 3.36921 + 3.21784i 1.37547 + 1.31368i
\(7\) 1.97121 + 1.97121i 0.745047 + 0.745047i 0.973544 0.228498i \(-0.0733814\pi\)
−0.228498 + 0.973544i \(0.573381\pi\)
\(8\) −2.82171 + 0.194800i −0.997625 + 0.0688722i
\(9\) 7.85303i 2.61768i
\(10\) −3.16071 + 0.0997126i −0.999503 + 0.0315319i
\(11\) 2.76564 0.833871 0.416935 0.908936i \(-0.363104\pi\)
0.416935 + 0.908936i \(0.363104\pi\)
\(12\) −4.86807 4.44005i −1.40529 1.28173i
\(13\) 3.56433 0.543628i 0.988568 0.150775i
\(14\) −2.85102 2.72293i −0.761966 0.727734i
\(15\) −5.25330 5.16411i −1.35640 1.33337i
\(16\) 3.98312 0.367092i 0.995780 0.0917730i
\(17\) −1.79865 1.79865i −0.436237 0.436237i 0.454506 0.890744i \(-0.349816\pi\)
−0.890744 + 0.454506i \(0.849816\pi\)
\(18\) −0.255141 11.1029i −0.0601374 2.61699i
\(19\) 2.06756i 0.474330i 0.971469 + 0.237165i \(0.0762182\pi\)
−0.971469 + 0.237165i \(0.923782\pi\)
\(20\) 4.46549 0.243668i 0.998515 0.0544857i
\(21\) 9.18381i 2.00407i
\(22\) −3.91017 + 0.0898542i −0.833651 + 0.0191570i
\(23\) 1.07900 + 1.07900i 0.224988 + 0.224988i 0.810595 0.585607i \(-0.199144\pi\)
−0.585607 + 0.810595i \(0.699144\pi\)
\(24\) 7.02693 + 6.11936i 1.43437 + 1.24911i
\(25\) 4.99927 0.0856113i 0.999853 0.0171223i
\(26\) −5.02174 + 0.884407i −0.984843 + 0.173446i
\(27\) 11.3051 11.3051i 2.17567 2.17567i
\(28\) 4.11935 + 3.75716i 0.778484 + 0.710036i
\(29\) 7.19247i 1.33561i −0.744337 0.667804i \(-0.767234\pi\)
0.744337 0.667804i \(-0.232766\pi\)
\(30\) 7.59511 + 7.13055i 1.38667 + 1.30185i
\(31\) −2.08767 −0.374957 −0.187478 0.982269i \(-0.560031\pi\)
−0.187478 + 0.982269i \(0.560031\pi\)
\(32\) −5.61957 + 0.648419i −0.993409 + 0.114625i
\(33\) −6.44252 6.44252i −1.12150 1.12150i
\(34\) 2.60144 + 2.48457i 0.446144 + 0.426100i
\(35\) 4.44533 + 4.36986i 0.751398 + 0.738641i
\(36\) 0.721458 + 15.6895i 0.120243 + 2.61491i
\(37\) −2.10529 + 2.10529i −0.346108 + 0.346108i −0.858658 0.512549i \(-0.828701\pi\)
0.512549 + 0.858658i \(0.328701\pi\)
\(38\) −0.0671739 2.92320i −0.0108971 0.474205i
\(39\) −9.56945 7.03670i −1.53234 1.12677i
\(40\) −6.30558 + 0.489589i −0.996999 + 0.0774108i
\(41\) 2.07353i 0.323831i 0.986805 + 0.161915i \(0.0517671\pi\)
−0.986805 + 0.161915i \(0.948233\pi\)
\(42\) 0.298378 + 12.9844i 0.0460407 + 2.00354i
\(43\) 1.37442 + 1.37442i 0.209596 + 0.209596i 0.804096 0.594500i \(-0.202650\pi\)
−0.594500 + 0.804096i \(0.702650\pi\)
\(44\) 5.52543 0.254079i 0.832991 0.0383038i
\(45\) 0.150338 + 17.5593i 0.0224111 + 2.61758i
\(46\) −1.56059 1.49048i −0.230097 0.219760i
\(47\) −3.03509 3.03509i −0.442713 0.442713i 0.450210 0.892923i \(-0.351349\pi\)
−0.892923 + 0.450210i \(0.851349\pi\)
\(48\) −10.1338 8.42350i −1.46268 1.21583i
\(49\) 0.771320i 0.110189i
\(50\) −7.06538 + 0.283465i −0.999196 + 0.0400879i
\(51\) 8.37988i 1.17342i
\(52\) 7.07120 1.41356i 0.980599 0.196026i
\(53\) −4.80760 + 4.80760i −0.660375 + 0.660375i −0.955468 0.295093i \(-0.904649\pi\)
0.295093 + 0.955468i \(0.404649\pi\)
\(54\) −15.6163 + 16.3509i −2.12511 + 2.22507i
\(55\) 6.18392 0.0529453i 0.833840 0.00713914i
\(56\) −5.94617 5.17819i −0.794590 0.691964i
\(57\) 4.81635 4.81635i 0.637941 0.637941i
\(58\) 0.233680 + 10.1690i 0.0306837 + 1.33526i
\(59\) 9.65260i 1.25666i −0.777947 0.628330i \(-0.783739\pi\)
0.777947 0.628330i \(-0.216261\pi\)
\(60\) −10.9699 9.83469i −1.41621 1.26965i
\(61\) 6.83718 0.875412 0.437706 0.899118i \(-0.355791\pi\)
0.437706 + 0.899118i \(0.355791\pi\)
\(62\) 2.95163 0.0678274i 0.374858 0.00861409i
\(63\) −15.4800 + 15.4800i −1.95029 + 1.95029i
\(64\) 7.92411 1.09934i 0.990513 0.137417i
\(65\) 7.95939 1.28378i 0.987241 0.159233i
\(66\) 9.31801 + 8.89938i 1.14697 + 1.09544i
\(67\) 10.5309 + 10.5309i 1.28656 + 1.28656i 0.936864 + 0.349695i \(0.113715\pi\)
0.349695 + 0.936864i \(0.386285\pi\)
\(68\) −3.75875 3.42827i −0.455815 0.415738i
\(69\) 5.02705i 0.605186i
\(70\) −6.42696 6.03385i −0.768169 0.721183i
\(71\) −3.76638 −0.446987 −0.223493 0.974705i \(-0.571746\pi\)
−0.223493 + 0.974705i \(0.571746\pi\)
\(72\) −1.52977 22.1590i −0.180285 2.61146i
\(73\) 0.228478 + 0.228478i 0.0267413 + 0.0267413i 0.720351 0.693610i \(-0.243981\pi\)
−0.693610 + 0.720351i \(0.743981\pi\)
\(74\) 2.90815 3.04495i 0.338066 0.353968i
\(75\) −11.8452 11.4463i −1.36776 1.32171i
\(76\) 0.189946 + 4.13075i 0.0217884 + 0.473830i
\(77\) 5.45164 + 5.45164i 0.621273 + 0.621273i
\(78\) 13.7583 + 9.63786i 1.55782 + 1.09127i
\(79\) −3.36550 −0.378648 −0.189324 0.981915i \(-0.560630\pi\)
−0.189324 + 0.981915i \(0.560630\pi\)
\(80\) 8.89917 0.897065i 0.994958 0.100295i
\(81\) −29.1110 −3.23456
\(82\) −0.0673679 2.93164i −0.00743954 0.323745i
\(83\) 2.38904 2.38904i 0.262232 0.262232i −0.563729 0.825960i \(-0.690634\pi\)
0.825960 + 0.563729i \(0.190634\pi\)
\(84\) −0.843717 18.3482i −0.0920570 2.00196i
\(85\) −4.05619 3.98733i −0.439956 0.432486i
\(86\) −1.98786 1.89855i −0.214356 0.204726i
\(87\) −16.7548 + 16.7548i −1.79630 + 1.79630i
\(88\) −7.80383 + 0.538746i −0.831891 + 0.0574305i
\(89\) 3.39594 0.359969 0.179985 0.983669i \(-0.442395\pi\)
0.179985 + 0.983669i \(0.442395\pi\)
\(90\) −0.783047 24.8211i −0.0825404 2.61638i
\(91\) 8.09764 + 5.95444i 0.848864 + 0.624195i
\(92\) 2.25486 + 2.05660i 0.235085 + 0.214415i
\(93\) 4.86321 + 4.86321i 0.504291 + 0.504291i
\(94\) 4.38974 + 4.19252i 0.452767 + 0.432426i
\(95\) 0.0395813 + 4.62303i 0.00406095 + 0.474313i
\(96\) 14.6012 + 11.5802i 1.49023 + 1.18190i
\(97\) 5.33246 5.33246i 0.541430 0.541430i −0.382518 0.923948i \(-0.624943\pi\)
0.923948 + 0.382518i \(0.124943\pi\)
\(98\) −0.0250598 1.09052i −0.00253142 0.110160i
\(99\) 21.7186i 2.18281i
\(100\) 9.98011 0.630324i 0.998011 0.0630324i
\(101\) 2.70868 0.269524 0.134762 0.990878i \(-0.456973\pi\)
0.134762 + 0.990878i \(0.456973\pi\)
\(102\) −0.272258 11.8478i −0.0269576 1.17311i
\(103\) 2.34247 + 2.34247i 0.230810 + 0.230810i 0.813031 0.582221i \(-0.197816\pi\)
−0.582221 + 0.813031i \(0.697816\pi\)
\(104\) −9.95162 + 2.22829i −0.975836 + 0.218502i
\(105\) −0.175815 20.5349i −0.0171578 2.00400i
\(106\) 6.64098 6.95338i 0.645029 0.675372i
\(107\) 4.03232 4.03232i 0.389819 0.389819i −0.484804 0.874623i \(-0.661109\pi\)
0.874623 + 0.484804i \(0.161109\pi\)
\(108\) 21.5477 23.6249i 2.07343 2.27331i
\(109\) −13.2900 −1.27295 −0.636477 0.771296i \(-0.719609\pi\)
−0.636477 + 0.771296i \(0.719609\pi\)
\(110\) −8.74136 + 0.275769i −0.833456 + 0.0262935i
\(111\) 9.80852 0.930984
\(112\) 8.57517 + 7.12794i 0.810278 + 0.673527i
\(113\) −8.26021 + 8.26021i −0.777055 + 0.777055i −0.979329 0.202274i \(-0.935167\pi\)
0.202274 + 0.979329i \(0.435167\pi\)
\(114\) −6.65307 + 6.96603i −0.623117 + 0.652429i
\(115\) 2.43329 + 2.39198i 0.226906 + 0.223053i
\(116\) −0.660772 14.3698i −0.0613511 1.33420i
\(117\) 4.26913 + 27.9908i 0.394681 + 2.58775i
\(118\) 0.313608 + 13.6472i 0.0288700 + 1.25633i
\(119\) 7.09103i 0.650034i
\(120\) 15.8293 + 13.5483i 1.44501 + 1.23678i
\(121\) −3.35125 −0.304659
\(122\) −9.66669 + 0.222137i −0.875181 + 0.0201113i
\(123\) 4.83026 4.83026i 0.435530 0.435530i
\(124\) −4.17094 + 0.191794i −0.374561 + 0.0172236i
\(125\) 11.1767 0.287132i 0.999670 0.0256818i
\(126\) 21.3833 22.3891i 1.90497 1.99458i
\(127\) 11.0132 11.0132i 0.977260 0.977260i −0.0224874 0.999747i \(-0.507159\pi\)
0.999747 + 0.0224874i \(0.00715855\pi\)
\(128\) −11.1677 + 1.81174i −0.987095 + 0.160137i
\(129\) 6.40337i 0.563785i
\(130\) −11.2116 + 2.07366i −0.983322 + 0.181872i
\(131\) 0.116373i 0.0101676i 0.999987 + 0.00508378i \(0.00161822\pi\)
−0.999987 + 0.00508378i \(0.998382\pi\)
\(132\) −13.4633 12.2796i −1.17183 1.06880i
\(133\) −4.07559 + 4.07559i −0.353398 + 0.353398i
\(134\) −15.2312 14.5469i −1.31578 1.25666i
\(135\) 25.0616 25.4944i 2.15696 2.19421i
\(136\) 5.42565 + 4.72490i 0.465246 + 0.405157i
\(137\) −11.3786 + 11.3786i −0.972143 + 0.972143i −0.999622 0.0274794i \(-0.991252\pi\)
0.0274794 + 0.999622i \(0.491252\pi\)
\(138\) 0.163326 + 7.10745i 0.0139033 + 0.605026i
\(139\) −13.9762 −1.18545 −0.592725 0.805405i \(-0.701948\pi\)
−0.592725 + 0.805405i \(0.701948\pi\)
\(140\) 9.28273 + 8.32209i 0.784534 + 0.703345i
\(141\) 14.1404i 1.19084i
\(142\) 5.32506 0.122368i 0.446869 0.0102689i
\(143\) 9.85765 1.50348i 0.824338 0.125727i
\(144\) 2.88279 + 31.2796i 0.240232 + 2.60663i
\(145\) −0.137692 16.0823i −0.0114347 1.33556i
\(146\) −0.330454 0.315608i −0.0273486 0.0261199i
\(147\) 1.79678 1.79678i 0.148196 0.148196i
\(148\) −4.01273 + 4.39956i −0.329845 + 0.361641i
\(149\) −10.9656 −0.898337 −0.449169 0.893447i \(-0.648280\pi\)
−0.449169 + 0.893447i \(0.648280\pi\)
\(150\) 17.1191 + 15.7984i 1.39777 + 1.28993i
\(151\) −17.6591 −1.43708 −0.718540 0.695486i \(-0.755189\pi\)
−0.718540 + 0.695486i \(0.755189\pi\)
\(152\) −0.402760 5.83405i −0.0326682 0.473204i
\(153\) 14.1249 14.1249i 1.14193 1.14193i
\(154\) −7.88488 7.53063i −0.635381 0.606836i
\(155\) −4.66800 + 0.0399663i −0.374943 + 0.00321017i
\(156\) −19.7652 13.1794i −1.58248 1.05520i
\(157\) −13.6301 13.6301i −1.08780 1.08780i −0.995754 0.0920491i \(-0.970658\pi\)
−0.0920491 0.995754i \(-0.529342\pi\)
\(158\) 4.75828 0.109344i 0.378549 0.00869890i
\(159\) 22.3985 1.77632
\(160\) −12.5529 + 1.55744i −0.992391 + 0.123126i
\(161\) 4.25388i 0.335253i
\(162\) 41.1584 0.945804i 3.23371 0.0743094i
\(163\) −4.50085 + 4.50085i −0.352534 + 0.352534i −0.861052 0.508518i \(-0.830194\pi\)
0.508518 + 0.861052i \(0.330194\pi\)
\(164\) 0.190495 + 4.14268i 0.0148752 + 0.323489i
\(165\) −14.5287 14.2820i −1.13106 1.11186i
\(166\) −3.30011 + 3.45535i −0.256138 + 0.268187i
\(167\) 7.06397 + 7.06397i 0.546626 + 0.546626i 0.925463 0.378837i \(-0.123676\pi\)
−0.378837 + 0.925463i \(0.623676\pi\)
\(168\) 1.78901 + 25.9141i 0.138025 + 1.99931i
\(169\) 12.4089 3.87534i 0.954534 0.298103i
\(170\) 5.86436 + 5.50566i 0.449776 + 0.422265i
\(171\) −16.2366 −1.24164
\(172\) 2.87220 + 2.61966i 0.219003 + 0.199747i
\(173\) 2.54024 2.54024i 0.193131 0.193131i −0.603917 0.797047i \(-0.706394\pi\)
0.797047 + 0.603917i \(0.206394\pi\)
\(174\) 23.1442 24.2329i 1.75456 1.83709i
\(175\) 10.0234 + 9.68584i 0.757694 + 0.732180i
\(176\) 11.0159 1.01524i 0.830352 0.0765268i
\(177\) −22.4856 + 22.4856i −1.69012 + 1.69012i
\(178\) −4.80132 + 0.110333i −0.359874 + 0.00826978i
\(179\) −0.176655 −0.0132038 −0.00660192 0.999978i \(-0.502101\pi\)
−0.00660192 + 0.999978i \(0.502101\pi\)
\(180\) 1.91353 + 35.0677i 0.142626 + 2.61379i
\(181\) 13.6105 1.01166 0.505828 0.862634i \(-0.331187\pi\)
0.505828 + 0.862634i \(0.331187\pi\)
\(182\) −11.6422 8.15553i −0.862980 0.604528i
\(183\) −15.9271 15.9271i −1.17737 1.17737i
\(184\) −3.25482 2.83444i −0.239949 0.208958i
\(185\) −4.66711 + 4.74771i −0.343132 + 0.349059i
\(186\) −7.03380 6.71779i −0.515743 0.492573i
\(187\) −4.97442 4.97442i −0.363765 0.363765i
\(188\) −6.34261 5.78494i −0.462582 0.421910i
\(189\) 44.5694 3.24194
\(190\) −0.206162 6.53494i −0.0149565 0.474094i
\(191\) 13.9159i 1.00692i 0.864020 + 0.503458i \(0.167939\pi\)
−0.864020 + 0.503458i \(0.832061\pi\)
\(192\) −21.0200 15.8982i −1.51699 1.14736i
\(193\) −17.4956 17.4956i −1.25936 1.25936i −0.951398 0.307964i \(-0.900352\pi\)
−0.307964 0.951398i \(-0.599648\pi\)
\(194\) −7.36600 + 7.71250i −0.528848 + 0.553725i
\(195\) −21.5319 15.5508i −1.54193 1.11361i
\(196\) 0.0708612 + 1.54101i 0.00506151 + 0.110072i
\(197\) 1.46918 1.46918i 0.104675 0.104675i −0.652830 0.757505i \(-0.726418\pi\)
0.757505 + 0.652830i \(0.226418\pi\)
\(198\) −0.705628 30.7067i −0.0501468 2.18223i
\(199\) 12.6116 0.894010 0.447005 0.894531i \(-0.352491\pi\)
0.447005 + 0.894531i \(0.352491\pi\)
\(200\) −14.0898 + 1.21543i −0.996300 + 0.0859437i
\(201\) 49.0634i 3.46066i
\(202\) −3.82964 + 0.0880037i −0.269453 + 0.00619192i
\(203\) 14.1778 14.1778i 0.995090 0.995090i
\(204\) 0.769859 + 16.7421i 0.0539009 + 1.17218i
\(205\) 0.0396956 + 4.63638i 0.00277246 + 0.323819i
\(206\) −3.38798 3.23577i −0.236052 0.225447i
\(207\) −8.47345 + 8.47345i −0.588945 + 0.588945i
\(208\) 13.9976 3.47377i 0.970559 0.240863i
\(209\) 5.71811i 0.395530i
\(210\) 0.915742 + 29.0273i 0.0631922 + 2.00308i
\(211\) 1.88981i 0.130100i 0.997882 + 0.0650498i \(0.0207206\pi\)
−0.997882 + 0.0650498i \(0.979279\pi\)
\(212\) −9.16338 + 10.0467i −0.629344 + 0.690012i
\(213\) 8.77373 + 8.77373i 0.601166 + 0.601166i
\(214\) −5.57005 + 5.83206i −0.380760 + 0.398671i
\(215\) 3.09949 + 3.04686i 0.211383 + 0.207794i
\(216\) −29.6975 + 34.1019i −2.02066 + 2.32034i
\(217\) −4.11523 4.11523i −0.279360 0.279360i
\(218\) 18.7900 0.431787i 1.27262 0.0292443i
\(219\) 1.06447i 0.0719305i
\(220\) 12.3499 0.673896i 0.832632 0.0454340i
\(221\) −7.38879 5.43320i −0.497024 0.365476i
\(222\) −13.8677 + 0.318674i −0.930738 + 0.0213880i
\(223\) −16.9564 + 16.9564i −1.13548 + 1.13548i −0.146235 + 0.989250i \(0.546715\pi\)
−0.989250 + 0.146235i \(0.953285\pi\)
\(224\) −12.3555 9.79917i −0.825537 0.654735i
\(225\) 0.672309 + 39.2594i 0.0448206 + 2.61729i
\(226\) 11.4102 11.9470i 0.758998 0.794702i
\(227\) −11.9034 11.9034i −0.790053 0.790053i 0.191449 0.981502i \(-0.438681\pi\)
−0.981502 + 0.191449i \(0.938681\pi\)
\(228\) 9.18006 10.0650i 0.607964 0.666572i
\(229\) 11.3479 0.749888 0.374944 0.927048i \(-0.377662\pi\)
0.374944 + 0.927048i \(0.377662\pi\)
\(230\) −3.51800 3.30282i −0.231970 0.217781i
\(231\) 25.3991i 1.67114i
\(232\) 1.40109 + 20.2951i 0.0919862 + 1.33244i
\(233\) −13.9055 + 13.9055i −0.910979 + 0.910979i −0.996349 0.0853703i \(-0.972793\pi\)
0.0853703 + 0.996349i \(0.472793\pi\)
\(234\) −6.94528 39.4359i −0.454027 2.57800i
\(235\) −6.84452 6.72832i −0.446487 0.438907i
\(236\) −0.886784 19.2848i −0.0577247 1.25533i
\(237\) 7.83990 + 7.83990i 0.509256 + 0.509256i
\(238\) 0.230384 + 10.0256i 0.0149336 + 0.649862i
\(239\) 14.6554i 0.947981i 0.880530 + 0.473991i \(0.157187\pi\)
−0.880530 + 0.473991i \(0.842813\pi\)
\(240\) −22.8202 18.6408i −1.47304 1.20326i
\(241\) 21.9420i 1.41341i 0.707511 + 0.706703i \(0.249818\pi\)
−0.707511 + 0.706703i \(0.750182\pi\)
\(242\) 4.73814 0.108881i 0.304579 0.00699911i
\(243\) 33.8986 + 33.8986i 2.17460 + 2.17460i
\(244\) 13.6599 0.628132i 0.874488 0.0402120i
\(245\) 0.0147661 + 1.72466i 0.000943374 + 0.110185i
\(246\) −6.67228 + 6.98615i −0.425409 + 0.445421i
\(247\) 1.12398 + 7.36946i 0.0715173 + 0.468908i
\(248\) 5.89081 0.406678i 0.374066 0.0258241i
\(249\) −11.1305 −0.705367
\(250\) −15.7927 + 0.769082i −0.998816 + 0.0486410i
\(251\) 17.7075i 1.11769i 0.829273 + 0.558843i \(0.188755\pi\)
−0.829273 + 0.558843i \(0.811245\pi\)
\(252\) −29.5051 + 32.3494i −1.85865 + 2.03782i
\(253\) 2.98413 + 2.98413i 0.187611 + 0.187611i
\(254\) −15.2130 + 15.9287i −0.954551 + 0.999453i
\(255\) 0.160424 + 18.7373i 0.0100462 + 1.17337i
\(256\) 15.7305 2.92434i 0.983155 0.182771i
\(257\) 9.61099 + 9.61099i 0.599517 + 0.599517i 0.940184 0.340667i \(-0.110653\pi\)
−0.340667 + 0.940184i \(0.610653\pi\)
\(258\) 0.208042 + 9.05334i 0.0129522 + 0.563637i
\(259\) −8.29995 −0.515734
\(260\) 15.7840 3.29608i 0.978884 0.204414i
\(261\) 56.4827 3.49619
\(262\) −0.00378090 0.164533i −0.000233585 0.0101649i
\(263\) 0.442921 + 0.442921i 0.0273117 + 0.0273117i 0.720631 0.693319i \(-0.243852\pi\)
−0.693319 + 0.720631i \(0.743852\pi\)
\(264\) 19.4339 + 16.9239i 1.19608 + 1.04160i
\(265\) −10.6577 + 10.8418i −0.654697 + 0.666004i
\(266\) 5.62981 5.89464i 0.345186 0.361424i
\(267\) −7.91081 7.91081i −0.484134 0.484134i
\(268\) 22.0071 + 20.0722i 1.34430 + 1.22610i
\(269\) 19.9649i 1.21728i 0.793446 + 0.608641i \(0.208285\pi\)
−0.793446 + 0.608641i \(0.791715\pi\)
\(270\) −34.6048 + 36.8593i −2.10598 + 2.24319i
\(271\) −19.6206 −1.19186 −0.595932 0.803035i \(-0.703217\pi\)
−0.595932 + 0.803035i \(0.703217\pi\)
\(272\) −7.82452 6.50398i −0.474431 0.394361i
\(273\) −4.99258 32.7342i −0.302165 1.98116i
\(274\) 15.7179 16.4573i 0.949553 0.994220i
\(275\) 13.8262 0.236770i 0.833749 0.0142778i
\(276\) −0.461835 10.0435i −0.0277992 0.604547i
\(277\) −2.71322 2.71322i −0.163022 0.163022i 0.620882 0.783904i \(-0.286775\pi\)
−0.783904 + 0.620882i \(0.786775\pi\)
\(278\) 19.7602 0.454081i 1.18514 0.0272340i
\(279\) 16.3946i 0.981516i
\(280\) −13.3947 11.4645i −0.800485 0.685136i
\(281\) 10.7683i 0.642383i 0.947014 + 0.321191i \(0.104083\pi\)
−0.947014 + 0.321191i \(0.895917\pi\)
\(282\) −0.459415 19.9923i −0.0273578 1.19052i
\(283\) −9.22116 9.22116i −0.548141 0.548141i 0.377762 0.925903i \(-0.376694\pi\)
−0.925903 + 0.377762i \(0.876694\pi\)
\(284\) −7.52480 + 0.346017i −0.446515 + 0.0205323i
\(285\) 10.6771 10.8615i 0.632456 0.643380i
\(286\) −13.8883 + 2.44595i −0.821232 + 0.144632i
\(287\) −4.08735 + 4.08735i −0.241269 + 0.241269i
\(288\) −5.09206 44.1307i −0.300052 2.60042i
\(289\) 10.5297i 0.619394i
\(290\) 0.717180 + 22.7333i 0.0421143 + 1.33494i
\(291\) −24.8438 −1.45637
\(292\) 0.477464 + 0.435483i 0.0279415 + 0.0254847i
\(293\) 1.67405 + 1.67405i 0.0977990 + 0.0977990i 0.754313 0.656514i \(-0.227970\pi\)
−0.656514 + 0.754313i \(0.727970\pi\)
\(294\) −2.48199 + 2.59874i −0.144752 + 0.151562i
\(295\) −0.184789 21.5831i −0.0107588 1.25661i
\(296\) 5.53042 6.35064i 0.321449 0.369124i
\(297\) 31.2658 31.2658i 1.81422 1.81422i
\(298\) 15.5036 0.356267i 0.898100 0.0206380i
\(299\) 4.43250 + 3.25935i 0.256338 + 0.188493i
\(300\) −24.7169 21.7802i −1.42703 1.25748i
\(301\) 5.41852i 0.312318i
\(302\) 24.9672 0.573736i 1.43670 0.0330148i
\(303\) −6.30984 6.30984i −0.362491 0.362491i
\(304\) 0.758984 + 8.23533i 0.0435307 + 0.472329i
\(305\) 15.2878 0.130891i 0.875380 0.00749479i
\(306\) −19.5114 + 20.4292i −1.11539 + 1.16786i
\(307\) −19.6500 19.6500i −1.12149 1.12149i −0.991518 0.129968i \(-0.958513\pi\)
−0.129968 0.991518i \(-0.541487\pi\)
\(308\) 11.3926 + 10.3909i 0.649155 + 0.592079i
\(309\) 10.9135i 0.620847i
\(310\) 6.59851 0.208167i 0.374770 0.0118231i
\(311\) 33.7067i 1.91133i −0.294458 0.955664i \(-0.595139\pi\)
0.294458 0.955664i \(-0.404861\pi\)
\(312\) 28.3730 + 17.9914i 1.60630 + 1.01856i
\(313\) −14.3198 + 14.3198i −0.809405 + 0.809405i −0.984544 0.175139i \(-0.943963\pi\)
0.175139 + 0.984544i \(0.443963\pi\)
\(314\) 19.7137 + 18.8280i 1.11251 + 1.06253i
\(315\) −34.3166 + 34.9093i −1.93352 + 1.96692i
\(316\) −6.72390 + 0.309189i −0.378249 + 0.0173932i
\(317\) 19.1858 19.1858i 1.07758 1.07758i 0.0808584 0.996726i \(-0.474234\pi\)
0.996726 0.0808584i \(-0.0257662\pi\)
\(318\) −31.6679 + 0.727717i −1.77585 + 0.0408083i
\(319\) 19.8918i 1.11372i
\(320\) 17.6971 2.60980i 0.989300 0.145892i
\(321\) −18.7865 −1.04856
\(322\) −0.138206 6.01430i −0.00770194 0.335164i
\(323\) 3.71882 3.71882i 0.206921 0.206921i
\(324\) −58.1606 + 2.67443i −3.23115 + 0.148579i
\(325\) 17.7725 3.02289i 0.985842 0.167680i
\(326\) 6.21725 6.50971i 0.344342 0.360540i
\(327\) 30.9590 + 30.9590i 1.71204 + 1.71204i
\(328\) −0.403923 5.85090i −0.0223029 0.323062i
\(329\) 11.9656i 0.659684i
\(330\) 21.0053 + 19.7205i 1.15630 + 1.08558i
\(331\) 13.7338 0.754877 0.377439 0.926035i \(-0.376805\pi\)
0.377439 + 0.926035i \(0.376805\pi\)
\(332\) 4.55356 4.99253i 0.249909 0.274000i
\(333\) −16.5330 16.5330i −0.906000 0.906000i
\(334\) −10.2168 9.75782i −0.559040 0.533924i
\(335\) 23.7486 + 23.3454i 1.29753 + 1.27550i
\(336\) −3.37130 36.5802i −0.183920 1.99561i
\(337\) −7.13548 7.13548i −0.388694 0.388694i 0.485527 0.874221i \(-0.338628\pi\)
−0.874221 + 0.485527i \(0.838628\pi\)
\(338\) −17.4183 + 5.88228i −0.947433 + 0.319954i
\(339\) 38.4841 2.09017
\(340\) −8.47014 7.59360i −0.459358 0.411821i
\(341\) −5.77374 −0.312666
\(342\) 22.9560 0.527519i 1.24132 0.0285250i
\(343\) 12.2780 12.2780i 0.662951 0.662951i
\(344\) −4.14594 3.61047i −0.223534 0.194663i
\(345\) −0.0962377 11.2404i −0.00518127 0.605164i
\(346\) −3.50896 + 3.67402i −0.188643 + 0.197517i
\(347\) 22.6909 22.6909i 1.21811 1.21811i 0.249817 0.968293i \(-0.419630\pi\)
0.968293 0.249817i \(-0.0803705\pi\)
\(348\) −31.9349 + 35.0134i −1.71189 + 1.87692i
\(349\) −17.6400 −0.944247 −0.472124 0.881532i \(-0.656512\pi\)
−0.472124 + 0.881532i \(0.656512\pi\)
\(350\) −14.4861 13.3686i −0.774315 0.714580i
\(351\) 34.1493 46.4409i 1.82276 2.47883i
\(352\) −15.5417 + 1.79329i −0.828375 + 0.0955828i
\(353\) 24.4668 + 24.4668i 1.30224 + 1.30224i 0.926879 + 0.375359i \(0.122481\pi\)
0.375359 + 0.926879i \(0.377519\pi\)
\(354\) 31.0605 32.5216i 1.65085 1.72850i
\(355\) −8.42157 + 0.0721034i −0.446970 + 0.00382685i
\(356\) 6.78472 0.311985i 0.359589 0.0165352i
\(357\) −16.5185 + 16.5185i −0.874251 + 0.874251i
\(358\) 0.249762 0.00573945i 0.0132004 0.000303339i
\(359\) 26.5212i 1.39973i 0.714273 + 0.699867i \(0.246757\pi\)
−0.714273 + 0.699867i \(0.753243\pi\)
\(360\) −3.84476 49.5179i −0.202636 2.60982i
\(361\) 14.7252 0.775011
\(362\) −19.2430 + 0.442197i −1.01139 + 0.0232414i
\(363\) 7.80671 + 7.80671i 0.409746 + 0.409746i
\(364\) 16.7252 + 11.1524i 0.876640 + 0.584543i
\(365\) 0.515247 + 0.506499i 0.0269693 + 0.0265114i
\(366\) 23.0359 + 22.0010i 1.20411 + 1.15001i
\(367\) −5.52850 + 5.52850i −0.288586 + 0.288586i −0.836521 0.547935i \(-0.815414\pi\)
0.547935 + 0.836521i \(0.315414\pi\)
\(368\) 4.69389 + 3.90170i 0.244686 + 0.203390i
\(369\) −16.2835 −0.847684
\(370\) 6.44429 6.86414i 0.335023 0.356850i
\(371\) −18.9536 −0.984020
\(372\) 10.1629 + 9.26936i 0.526923 + 0.480594i
\(373\) −13.6242 + 13.6242i −0.705432 + 0.705432i −0.965571 0.260139i \(-0.916232\pi\)
0.260139 + 0.965571i \(0.416232\pi\)
\(374\) 7.19465 + 6.87142i 0.372026 + 0.355312i
\(375\) −26.7048 25.3670i −1.37903 1.30995i
\(376\) 9.15538 + 7.97291i 0.472153 + 0.411172i
\(377\) −3.91003 25.6364i −0.201377 1.32034i
\(378\) −63.0140 + 1.44804i −3.24109 + 0.0744790i
\(379\) 26.5880i 1.36574i −0.730542 0.682868i \(-0.760732\pi\)
0.730542 0.682868i \(-0.239268\pi\)
\(380\) 0.503797 + 9.23266i 0.0258442 + 0.473626i
\(381\) −51.3101 −2.62869
\(382\) −0.452119 19.6748i −0.0231324 1.00665i
\(383\) 8.03967 8.03967i 0.410808 0.410808i −0.471212 0.882020i \(-0.656183\pi\)
0.882020 + 0.471212i \(0.156183\pi\)
\(384\) 30.2355 + 21.7946i 1.54295 + 1.11220i
\(385\) 12.2942 + 12.0854i 0.626569 + 0.615931i
\(386\) 25.3044 + 24.1676i 1.28796 + 1.23010i
\(387\) −10.7933 + 10.7933i −0.548656 + 0.548656i
\(388\) 10.1638 11.1436i 0.515988 0.565729i
\(389\) 15.3855i 0.780076i 0.920799 + 0.390038i \(0.127538\pi\)
−0.920799 + 0.390038i \(0.872462\pi\)
\(390\) 30.9479 + 21.2867i 1.56711 + 1.07790i
\(391\) 3.88150i 0.196296i
\(392\) −0.150253 2.17644i −0.00758893 0.109927i
\(393\) 0.271090 0.271090i 0.0136747 0.0136747i
\(394\) −2.02945 + 2.12492i −0.102242 + 0.107052i
\(395\) −7.52521 + 0.0644291i −0.378635 + 0.00324178i
\(396\) 1.99529 + 43.3914i 0.100267 + 2.18050i
\(397\) −0.850203 + 0.850203i −0.0426705 + 0.0426705i −0.728120 0.685450i \(-0.759606\pi\)
0.685450 + 0.728120i \(0.259606\pi\)
\(398\) −17.8307 + 0.409744i −0.893774 + 0.0205386i
\(399\) 18.9881 0.950592
\(400\) 19.8813 2.17619i 0.994063 0.108810i
\(401\) 2.07340i 0.103541i −0.998659 0.0517704i \(-0.983514\pi\)
0.998659 0.0517704i \(-0.0164864\pi\)
\(402\) 1.59405 + 69.3678i 0.0795038 + 3.45975i
\(403\) −7.44116 + 1.13492i −0.370670 + 0.0565342i
\(404\) 5.41164 0.248846i 0.269239 0.0123806i
\(405\) −65.0919 + 0.557301i −3.23444 + 0.0276925i
\(406\) −19.5846 + 20.5058i −0.971967 + 1.01769i
\(407\) −5.82248 + 5.82248i −0.288610 + 0.288610i
\(408\) −1.63240 23.6456i −0.0808158 1.17063i
\(409\) −5.67158 −0.280442 −0.140221 0.990120i \(-0.544781\pi\)
−0.140221 + 0.990120i \(0.544781\pi\)
\(410\) −0.206757 6.55381i −0.0102110 0.323670i
\(411\) 53.0128 2.61493
\(412\) 4.89519 + 4.46479i 0.241169 + 0.219964i
\(413\) 19.0273 19.0273i 0.936271 0.936271i
\(414\) 11.7048 12.2554i 0.575260 0.602320i
\(415\) 5.29613 5.38760i 0.259977 0.264467i
\(416\) −19.6775 + 5.36614i −0.964770 + 0.263097i
\(417\) 32.5575 + 32.5575i 1.59435 + 1.59435i
\(418\) −0.185779 8.08450i −0.00908673 0.395426i
\(419\) −19.1062 −0.933399 −0.466699 0.884416i \(-0.654557\pi\)
−0.466699 + 0.884416i \(0.654557\pi\)
\(420\) −2.23780 41.0102i −0.109193 2.00110i
\(421\) 20.3290i 0.990773i 0.868673 + 0.495387i \(0.164974\pi\)
−0.868673 + 0.495387i \(0.835026\pi\)
\(422\) −0.0613989 2.67188i −0.00298885 0.130065i
\(423\) 23.8347 23.8347i 1.15888 1.15888i
\(424\) 12.6291 14.5022i 0.613325 0.704288i
\(425\) −9.14593 8.83796i −0.443643 0.428704i
\(426\) −12.6897 12.1196i −0.614818 0.587197i
\(427\) 13.4775 + 13.4775i 0.652222 + 0.652222i
\(428\) 7.68567 8.42657i 0.371501 0.407314i
\(429\) −26.4656 19.4609i −1.27777 0.939583i
\(430\) −4.48117 4.20708i −0.216101 0.202883i
\(431\) −34.3570 −1.65492 −0.827460 0.561524i \(-0.810215\pi\)
−0.827460 + 0.561524i \(0.810215\pi\)
\(432\) 40.8795 49.1795i 1.96682 2.36615i
\(433\) 20.9912 20.9912i 1.00877 1.00877i 0.00881105 0.999961i \(-0.497195\pi\)
0.999961 0.00881105i \(-0.00280468\pi\)
\(434\) 5.95199 + 5.68458i 0.285704 + 0.272869i
\(435\) −37.1427 + 37.7842i −1.78086 + 1.81161i
\(436\) −26.5520 + 1.22095i −1.27161 + 0.0584731i
\(437\) −2.23090 + 2.23090i −0.106718 + 0.106718i
\(438\) 0.0345842 + 1.50500i 0.00165250 + 0.0719115i
\(439\) −16.6708 −0.795656 −0.397828 0.917460i \(-0.630236\pi\)
−0.397828 + 0.917460i \(0.630236\pi\)
\(440\) −17.4389 + 1.35402i −0.831369 + 0.0645506i
\(441\) −6.05720 −0.288438
\(442\) 10.6231 + 7.44161i 0.505289 + 0.353962i
\(443\) −21.7096 21.7096i −1.03146 1.03146i −0.999489 0.0319665i \(-0.989823\pi\)
−0.0319665 0.999489i \(-0.510177\pi\)
\(444\) 19.5963 0.901108i 0.930001 0.0427647i
\(445\) 7.59328 0.0650119i 0.359956 0.00308186i
\(446\) 23.4227 24.5246i 1.10910 1.16127i
\(447\) 25.5443 + 25.5443i 1.20820 + 1.20820i
\(448\) 17.7871 + 13.4530i 0.840361 + 0.635596i
\(449\) −31.2426 −1.47443 −0.737215 0.675658i \(-0.763860\pi\)
−0.737215 + 0.675658i \(0.763860\pi\)
\(450\) −2.22606 55.4847i −0.104937 2.61557i
\(451\) 5.73462i 0.270033i
\(452\) −15.7441 + 17.2618i −0.740541 + 0.811929i
\(453\) 41.1367 + 41.1367i 1.93277 + 1.93277i
\(454\) 17.2162 + 16.4427i 0.807995 + 0.771694i
\(455\) 18.2202 + 13.1590i 0.854177 + 0.616904i
\(456\) −12.6521 + 14.5286i −0.592490 + 0.680363i
\(457\) 22.4089 22.4089i 1.04824 1.04824i 0.0494661 0.998776i \(-0.484248\pi\)
0.998776 0.0494661i \(-0.0157520\pi\)
\(458\) −16.0441 + 0.368686i −0.749690 + 0.0172276i
\(459\) −40.6678 −1.89821
\(460\) 5.08120 + 4.55536i 0.236912 + 0.212395i
\(461\) 14.9213i 0.694953i 0.937689 + 0.347477i \(0.112961\pi\)
−0.937689 + 0.347477i \(0.887039\pi\)
\(462\) 0.825204 + 35.9103i 0.0383920 + 1.67070i
\(463\) −12.5507 + 12.5507i −0.583282 + 0.583282i −0.935804 0.352522i \(-0.885324\pi\)
0.352522 + 0.935804i \(0.385324\pi\)
\(464\) −2.64030 28.6485i −0.122573 1.32997i
\(465\) 10.9672 + 10.7810i 0.508590 + 0.499955i
\(466\) 19.2084 20.1119i 0.889810 0.931667i
\(467\) 14.2920 14.2920i 0.661354 0.661354i −0.294346 0.955699i \(-0.595102\pi\)
0.955699 + 0.294346i \(0.0951017\pi\)
\(468\) 11.1008 + 55.5304i 0.513133 + 2.56689i
\(469\) 41.5173i 1.91709i
\(470\) 9.89566 + 9.29039i 0.456453 + 0.428534i
\(471\) 63.5025i 2.92604i
\(472\) 1.88032 + 27.2368i 0.0865490 + 1.25368i
\(473\) 3.80113 + 3.80113i 0.174776 + 0.174776i
\(474\) −11.3391 10.8296i −0.520821 0.497422i
\(475\) 0.177006 + 10.3363i 0.00812161 + 0.474261i
\(476\) −0.651453 14.1671i −0.0298593 0.649348i
\(477\) −37.7543 37.7543i −1.72865 1.72865i
\(478\) −0.476148 20.7204i −0.0217785 0.947731i
\(479\) 0.392894i 0.0179518i 0.999960 + 0.00897588i \(0.00285715\pi\)
−0.999960 + 0.00897588i \(0.997143\pi\)
\(480\) 32.8698 + 25.6137i 1.50029 + 1.16910i
\(481\) −6.35947 + 8.64847i −0.289967 + 0.394336i
\(482\) −0.712883 31.0224i −0.0324709 1.41303i
\(483\) 9.90936 9.90936i 0.450891 0.450891i
\(484\) −6.69543 + 0.307880i −0.304338 + 0.0139945i
\(485\) 11.8212 12.0254i 0.536775 0.546045i
\(486\) −49.0285 46.8258i −2.22398 2.12406i
\(487\) 8.76391 + 8.76391i 0.397131 + 0.397131i 0.877220 0.480089i \(-0.159396\pi\)
−0.480089 + 0.877220i \(0.659396\pi\)
\(488\) −19.2926 + 1.33188i −0.873333 + 0.0602915i
\(489\) 20.9694 0.948267
\(490\) −0.0769104 2.43792i −0.00347446 0.110134i
\(491\) 2.47325i 0.111616i −0.998442 0.0558081i \(-0.982226\pi\)
0.998442 0.0558081i \(-0.0177735\pi\)
\(492\) 9.20657 10.0941i 0.415064 0.455076i
\(493\) −12.9367 + 12.9367i −0.582642 + 0.582642i
\(494\) −1.82856 10.3827i −0.0822709 0.467141i
\(495\) 0.415781 + 48.5626i 0.0186880 + 2.18273i
\(496\) −8.31544 + 0.766367i −0.373374 + 0.0344109i
\(497\) −7.42431 7.42431i −0.333026 0.333026i
\(498\) 15.7368 0.361625i 0.705181 0.0162048i
\(499\) 17.6033i 0.788032i −0.919104 0.394016i \(-0.871085\pi\)
0.919104 0.394016i \(-0.128915\pi\)
\(500\) 22.3033 1.60046i 0.997435 0.0715746i
\(501\) 32.9109i 1.47035i
\(502\) −0.575308 25.0356i −0.0256772 1.11739i
\(503\) 5.95062 + 5.95062i 0.265325 + 0.265325i 0.827213 0.561888i \(-0.189925\pi\)
−0.561888 + 0.827213i \(0.689925\pi\)
\(504\) 40.6645 46.6955i 1.81134 2.07998i
\(505\) 6.05657 0.0518549i 0.269514 0.00230751i
\(506\) −4.31604 4.12213i −0.191871 0.183251i
\(507\) −37.9340 19.8789i −1.68471 0.882853i
\(508\) 20.9913 23.0148i 0.931338 1.02112i
\(509\) 18.7434 0.830785 0.415392 0.909642i \(-0.363644\pi\)
0.415392 + 0.909642i \(0.363644\pi\)
\(510\) −0.835580 26.4863i −0.0370001 1.17283i
\(511\) 0.900755i 0.0398471i
\(512\) −22.1454 + 4.64563i −0.978697 + 0.205310i
\(513\) 23.3739 + 23.3739i 1.03198 + 1.03198i
\(514\) −13.9007 13.2762i −0.613132 0.585586i
\(515\) 5.28257 + 5.19288i 0.232778 + 0.228826i
\(516\) −0.588277 12.7932i −0.0258975 0.563190i
\(517\) −8.39396 8.39396i −0.369166 0.369166i
\(518\) 11.7348 0.269661i 0.515597 0.0118482i
\(519\) −11.8349 −0.519495
\(520\) −22.2090 + 5.17295i −0.973930 + 0.226849i
\(521\) −12.6489 −0.554157 −0.277078 0.960847i \(-0.589366\pi\)
−0.277078 + 0.960847i \(0.589366\pi\)
\(522\) −79.8575 + 1.83510i −3.49527 + 0.0803199i
\(523\) 14.7541 + 14.7541i 0.645150 + 0.645150i 0.951817 0.306667i \(-0.0992138\pi\)
−0.306667 + 0.951817i \(0.599214\pi\)
\(524\) 0.0106912 + 0.232500i 0.000467047 + 0.0101568i
\(525\) −0.786238 45.9123i −0.0343143 2.00378i
\(526\) −0.640610 0.611829i −0.0279319 0.0266770i
\(527\) 3.75499 + 3.75499i 0.163570 + 0.163570i
\(528\) −28.0263 23.2963i −1.21969 1.01384i
\(529\) 20.6715i 0.898761i
\(530\) 14.7160 15.6748i 0.639224 0.680869i
\(531\) 75.8022 3.28953
\(532\) −7.76814 + 8.51699i −0.336792 + 0.369258i
\(533\) 1.12723 + 7.39074i 0.0488257 + 0.320129i
\(534\) 11.4416 + 10.9276i 0.495128 + 0.472884i
\(535\) 8.93901 9.09340i 0.386467 0.393142i
\(536\) −31.7667 27.6638i −1.37211 1.19490i
\(537\) 0.411517 + 0.411517i 0.0177583 + 0.0177583i
\(538\) −0.648650 28.2272i −0.0279653 1.21696i
\(539\) 2.13319i 0.0918830i
\(540\) 47.7281 53.2375i 2.05389 2.29098i
\(541\) 30.7974i 1.32408i −0.749467 0.662042i \(-0.769690\pi\)
0.749467 0.662042i \(-0.230310\pi\)
\(542\) 27.7403 0.637463i 1.19155 0.0273814i
\(543\) −31.7054 31.7054i −1.36061 1.36061i
\(544\) 11.2739 + 8.94137i 0.483366 + 0.383358i
\(545\) −29.7163 + 0.254424i −1.27291 + 0.0108983i
\(546\) 8.12223 + 46.1187i 0.347599 + 1.97370i
\(547\) −17.8667 + 17.8667i −0.763927 + 0.763927i −0.977030 0.213103i \(-0.931643\pi\)
0.213103 + 0.977030i \(0.431643\pi\)
\(548\) −21.6879 + 23.7786i −0.926461 + 1.01577i
\(549\) 53.6926i 2.29155i
\(550\) −19.5403 + 0.783960i −0.833201 + 0.0334282i
\(551\) 14.8708 0.633519
\(552\) 0.979269 + 14.1849i 0.0416805 + 0.603749i
\(553\) −6.63410 6.63410i −0.282111 0.282111i
\(554\) 3.92421 + 3.74791i 0.166724 + 0.159234i
\(555\) 21.9317 0.187774i 0.930949 0.00797057i
\(556\) −27.9230 + 1.28400i −1.18420 + 0.0544536i
\(557\) −10.5065 + 10.5065i −0.445173 + 0.445173i −0.893746 0.448573i \(-0.851932\pi\)
0.448573 + 0.893746i \(0.351932\pi\)
\(558\) 0.532651 + 23.1793i 0.0225489 + 0.981257i
\(559\) 5.64605 + 4.15170i 0.238802 + 0.175598i
\(560\) 19.3104 + 15.7738i 0.816014 + 0.666565i
\(561\) 23.1757i 0.978479i
\(562\) −0.349857 15.2246i −0.0147578 0.642213i
\(563\) 13.5627 + 13.5627i 0.571601 + 0.571601i 0.932576 0.360974i \(-0.117556\pi\)
−0.360974 + 0.932576i \(0.617556\pi\)
\(564\) 1.29908 + 28.2510i 0.0547011 + 1.18958i
\(565\) −18.3116 + 18.6278i −0.770374 + 0.783679i
\(566\) 13.3368 + 12.7377i 0.560589 + 0.535404i
\(567\) −57.3839 57.3839i −2.40990 2.40990i
\(568\) 10.6276 0.733690i 0.445925 0.0307849i
\(569\) 18.7390i 0.785582i 0.919628 + 0.392791i \(0.128490\pi\)
−0.919628 + 0.392791i \(0.871510\pi\)
\(570\) −14.7428 + 15.7033i −0.617509 + 0.657740i
\(571\) 8.09676i 0.338839i −0.985544 0.169419i \(-0.945811\pi\)
0.985544 0.169419i \(-0.0541892\pi\)
\(572\) 19.5564 3.90940i 0.817693 0.163460i
\(573\) 32.4168 32.4168i 1.35423 1.35423i
\(574\) 5.64607 5.91166i 0.235662 0.246748i
\(575\) 5.48660 + 5.30185i 0.228807 + 0.221102i
\(576\) 8.63314 + 62.2283i 0.359714 + 2.59284i
\(577\) 19.0166 19.0166i 0.791673 0.791673i −0.190093 0.981766i \(-0.560879\pi\)
0.981766 + 0.190093i \(0.0608789\pi\)
\(578\) 0.342105 + 14.8873i 0.0142297 + 0.619231i
\(579\) 81.5117i 3.38751i
\(580\) −1.75257 32.1179i −0.0727715 1.33362i
\(581\) 9.41860 0.390750
\(582\) 35.1252 0.807164i 1.45599 0.0334580i
\(583\) −13.2961 + 13.2961i −0.550667 + 0.550667i
\(584\) −0.689206 0.600191i −0.0285196 0.0248361i
\(585\) 10.0816 + 62.5054i 0.416822 + 2.58428i
\(586\) −2.42123 2.31245i −0.100020 0.0955264i
\(587\) −6.97520 6.97520i −0.287897 0.287897i 0.548351 0.836248i \(-0.315256\pi\)
−0.836248 + 0.548351i \(0.815256\pi\)
\(588\) 3.42470 3.75484i 0.141232 0.154847i
\(589\) 4.31638i 0.177853i
\(590\) 0.962486 + 30.5090i 0.0396249 + 1.25604i
\(591\) −6.84487 −0.281560
\(592\) −7.61280 + 9.15848i −0.312884 + 0.376411i
\(593\) −26.5561 26.5561i −1.09053 1.09053i −0.995472 0.0950558i \(-0.969697\pi\)
−0.0950558 0.995472i \(-0.530303\pi\)
\(594\) −43.1890 + 45.2206i −1.77207 + 1.85542i
\(595\) −0.135751 15.8555i −0.00556523 0.650010i
\(596\) −21.9081 + 1.00741i −0.897389 + 0.0412651i
\(597\) −29.3785 29.3785i −1.20238 1.20238i
\(598\) −6.37274 4.46419i −0.260601 0.182554i
\(599\) −35.1399 −1.43578 −0.717889 0.696157i \(-0.754892\pi\)
−0.717889 + 0.696157i \(0.754892\pi\)
\(600\) 35.6534 + 29.9907i 1.45554 + 1.22437i
\(601\) 23.8391 0.972417 0.486209 0.873843i \(-0.338380\pi\)
0.486209 + 0.873843i \(0.338380\pi\)
\(602\) −0.176045 7.66092i −0.00717506 0.312236i
\(603\) −82.6998 + 82.6998i −3.36780 + 3.36780i
\(604\) −35.2810 + 1.62234i −1.43556 + 0.0660122i
\(605\) −7.49336 + 0.0641563i −0.304648 + 0.00260833i
\(606\) 9.12611 + 8.71610i 0.370723 + 0.354067i
\(607\) −21.1327 + 21.1327i −0.857750 + 0.857750i −0.991073 0.133323i \(-0.957435\pi\)
0.133323 + 0.991073i \(0.457435\pi\)
\(608\) −1.34064 11.6188i −0.0543703 0.471204i
\(609\) −66.0543 −2.67665
\(610\) −21.6103 + 0.681754i −0.874976 + 0.0276034i
\(611\) −12.4680 9.16811i −0.504403 0.370902i
\(612\) 26.9223 29.5176i 1.08827 1.19318i
\(613\) −13.5802 13.5802i −0.548499 0.548499i 0.377507 0.926007i \(-0.376781\pi\)
−0.926007 + 0.377507i \(0.876781\pi\)
\(614\) 28.4204 + 27.1436i 1.14695 + 1.09543i
\(615\) 10.7079 10.8929i 0.431785 0.439243i
\(616\) −16.4449 14.3210i −0.662586 0.577009i
\(617\) −27.8314 + 27.8314i −1.12045 + 1.12045i −0.128779 + 0.991673i \(0.541106\pi\)
−0.991673 + 0.128779i \(0.958894\pi\)
\(618\) 0.354574 + 15.4300i 0.0142631 + 0.620684i
\(619\) 18.4469i 0.741443i −0.928744 0.370721i \(-0.879110\pi\)
0.928744 0.370721i \(-0.120890\pi\)
\(620\) −9.32248 + 0.508698i −0.374400 + 0.0204298i
\(621\) 24.3964 0.978996
\(622\) 1.09511 + 47.6558i 0.0439100 + 1.91082i
\(623\) 6.69411 + 6.69411i 0.268194 + 0.268194i
\(624\) −40.6994 24.5151i −1.62928 0.981391i
\(625\) 24.9853 0.855988i 0.999414 0.0342395i
\(626\) 19.7807 20.7112i 0.790596 0.827786i
\(627\) 13.3203 13.3203i 0.531961 0.531961i
\(628\) −28.4837 25.9793i −1.13662 1.03669i
\(629\) 7.57339 0.301971
\(630\) 47.3840 50.4711i 1.88783 2.01082i
\(631\) −2.29587 −0.0913973 −0.0456986 0.998955i \(-0.514551\pi\)
−0.0456986 + 0.998955i \(0.514551\pi\)
\(632\) 9.49647 0.655599i 0.377749 0.0260783i
\(633\) 4.40228 4.40228i 0.174975 0.174975i
\(634\) −26.5024 + 27.7490i −1.05254 + 1.10206i
\(635\) 24.4144 24.8361i 0.968857 0.985591i
\(636\) 44.7497 2.05775i 1.77444 0.0815951i
\(637\) 0.419311 + 2.74924i 0.0166137 + 0.108929i
\(638\) 0.646273 + 28.1238i 0.0255862 + 1.11343i
\(639\) 29.5775i 1.17007i
\(640\) −24.9361 + 4.26482i −0.985688 + 0.168582i
\(641\) 38.1507 1.50686 0.753431 0.657527i \(-0.228397\pi\)
0.753431 + 0.657527i \(0.228397\pi\)
\(642\) 26.5611 0.610363i 1.04828 0.0240891i
\(643\) 23.1735 23.1735i 0.913875 0.913875i −0.0826995 0.996575i \(-0.526354\pi\)
0.996575 + 0.0826995i \(0.0263542\pi\)
\(644\) 0.390804 + 8.49878i 0.0153998 + 0.334899i
\(645\) −0.122586 14.3178i −0.00482682 0.563765i
\(646\) −5.13699 + 5.37864i −0.202112 + 0.211620i
\(647\) −2.29915 + 2.29915i −0.0903891 + 0.0903891i −0.750856 0.660466i \(-0.770359\pi\)
0.660466 + 0.750856i \(0.270359\pi\)
\(648\) 82.1430 5.67083i 3.22688 0.222771i
\(649\) 26.6956i 1.04789i
\(650\) −25.0293 + 4.85130i −0.981729 + 0.190284i
\(651\) 19.1728i 0.751441i
\(652\) −8.57870 + 9.40569i −0.335968 + 0.368355i
\(653\) 4.75371 4.75371i 0.186027 0.186027i −0.607949 0.793976i \(-0.708008\pi\)
0.793976 + 0.607949i \(0.208008\pi\)
\(654\) −44.7769 42.7652i −1.75092 1.67225i
\(655\) 0.00222784 + 0.260208i 8.70490e−5 + 0.0101672i
\(656\) 0.761175 + 8.25911i 0.0297189 + 0.322464i
\(657\) −1.79425 + 1.79425i −0.0700002 + 0.0700002i
\(658\) 0.388756 + 16.9174i 0.0151553 + 0.659510i
\(659\) −35.0519 −1.36543 −0.682715 0.730685i \(-0.739201\pi\)
−0.682715 + 0.730685i \(0.739201\pi\)
\(660\) −30.3389 27.1992i −1.18094 1.05873i
\(661\) 6.89099i 0.268028i 0.990979 + 0.134014i \(0.0427868\pi\)
−0.990979 + 0.134014i \(0.957213\pi\)
\(662\) −19.4174 + 0.446204i −0.754678 + 0.0173422i
\(663\) 4.55554 + 29.8687i 0.176922 + 1.16000i
\(664\) −6.27581 + 7.20658i −0.243549 + 0.279669i
\(665\) −9.03493 + 9.19098i −0.350360 + 0.356411i
\(666\) 23.9121 + 22.8378i 0.926575 + 0.884947i
\(667\) 7.76069 7.76069i 0.300495 0.300495i
\(668\) 14.7620 + 13.4641i 0.571159 + 0.520940i
\(669\) 78.9995 3.05430
\(670\) −34.3353 32.2351i −1.32649 1.24535i
\(671\) 18.9092 0.729980
\(672\) 5.95496 + 51.6091i 0.229718 + 1.99086i
\(673\) −10.4035 + 10.4035i −0.401024 + 0.401024i −0.878594 0.477570i \(-0.841518\pi\)
0.477570 + 0.878594i \(0.341518\pi\)
\(674\) 10.3203 + 9.85659i 0.397521 + 0.379662i
\(675\) 55.5493 57.4850i 2.13809 2.21260i
\(676\) 24.4356 8.88251i 0.939833 0.341635i
\(677\) −29.5371 29.5371i −1.13520 1.13520i −0.989299 0.145903i \(-0.953391\pi\)
−0.145903 0.989299i \(-0.546609\pi\)
\(678\) −54.4104 + 1.25033i −2.08962 + 0.0480187i
\(679\) 21.0228 0.806781
\(680\) 12.2221 + 10.4609i 0.468698 + 0.401159i
\(681\) 55.4574i 2.12513i
\(682\) 8.16315 0.187586i 0.312583 0.00718304i
\(683\) 6.74455 6.74455i 0.258073 0.258073i −0.566197 0.824270i \(-0.691586\pi\)
0.824270 + 0.566197i \(0.191586\pi\)
\(684\) −32.4389 + 1.49166i −1.24033 + 0.0570349i
\(685\) −25.2247 + 25.6603i −0.963784 + 0.980430i
\(686\) −16.9603 + 17.7581i −0.647546 + 0.678006i
\(687\) −26.4347 26.4347i −1.00855 1.00855i
\(688\) 5.97900 + 4.96992i 0.227947 + 0.189477i
\(689\) −14.5223 + 19.7494i −0.553257 + 0.752394i
\(690\) 0.501260 + 15.8890i 0.0190827 + 0.604885i
\(691\) 10.6205 0.404021 0.202010 0.979383i \(-0.435252\pi\)
0.202010 + 0.979383i \(0.435252\pi\)
\(692\) 4.84174 5.30849i 0.184055 0.201798i
\(693\) −42.8119 + 42.8119i −1.62629 + 1.62629i
\(694\) −31.3441 + 32.8185i −1.18980 + 1.24577i
\(695\) −31.2507 + 0.267561i −1.18541 + 0.0101492i
\(696\) 44.0133 50.5410i 1.66832 1.91575i
\(697\) 3.72956 3.72956i 0.141267 0.141267i
\(698\) 24.9401 0.573115i 0.943998 0.0216927i
\(699\) 64.7854 2.45041
\(700\) 20.9154 + 18.4304i 0.790527 + 0.696603i
\(701\) 6.12695 0.231412 0.115706 0.993284i \(-0.463087\pi\)
0.115706 + 0.993284i \(0.463087\pi\)
\(702\) −46.7729 + 66.7695i −1.76533 + 2.52005i
\(703\) −4.35282 4.35282i −0.164170 0.164170i
\(704\) 21.9152 3.04037i 0.825960 0.114588i
\(705\) 0.270704 + 31.6178i 0.0101953 + 1.19079i
\(706\) −35.3871 33.7973i −1.33181 1.27198i
\(707\) 5.33937 + 5.33937i 0.200808 + 0.200808i
\(708\) −42.8580 + 46.9895i −1.61070 + 1.76597i
\(709\) −23.2312 −0.872467 −0.436233 0.899834i \(-0.643688\pi\)
−0.436233 + 0.899834i \(0.643688\pi\)
\(710\) 11.9044 0.375555i 0.446764 0.0140943i
\(711\) 26.4294i 0.991180i
\(712\) −9.58237 + 0.661530i −0.359115 + 0.0247919i
\(713\) −2.25260 2.25260i −0.0843607 0.0843607i
\(714\) 22.8178 23.8912i 0.853935 0.894105i
\(715\) 22.0128 3.55047i 0.823231 0.132780i
\(716\) −0.352938 + 0.0162293i −0.0131899 + 0.000606518i
\(717\) 34.1397 34.1397i 1.27497 1.27497i
\(718\) −0.861660 37.4967i −0.0321569 1.39936i
\(719\) 49.2456 1.83655 0.918276 0.395940i \(-0.129581\pi\)
0.918276 + 0.395940i \(0.129581\pi\)
\(720\) 7.04468 + 69.8855i 0.262540 + 2.60448i
\(721\) 9.23498i 0.343929i
\(722\) −20.8191 + 0.478415i −0.774806 + 0.0178048i
\(723\) 51.1135 51.1135i 1.90093 1.90093i
\(724\) 27.1922 1.25039i 1.01059 0.0464704i
\(725\) −0.615757 35.9571i −0.0228686 1.33541i
\(726\) −11.2911 10.7838i −0.419051 0.400224i
\(727\) −25.1121 + 25.1121i −0.931356 + 0.931356i −0.997791 0.0664346i \(-0.978838\pi\)
0.0664346 + 0.997791i \(0.478838\pi\)
\(728\) −24.0091 15.2243i −0.889838 0.564249i
\(729\) 70.5996i 2.61480i
\(730\) −0.744934 0.699369i −0.0275712 0.0258848i
\(731\) 4.94419i 0.182867i
\(732\) −33.2839 30.3574i −1.23021 1.12204i
\(733\) −7.99950 7.99950i −0.295468 0.295468i 0.543768 0.839236i \(-0.316997\pi\)
−0.839236 + 0.543768i \(0.816997\pi\)
\(734\) 7.63680 7.99604i 0.281880 0.295139i
\(735\) 3.98318 4.05198i 0.146922 0.149459i
\(736\) −6.76318 5.36389i −0.249294 0.197715i
\(737\) 29.1247 + 29.1247i 1.07282 + 1.07282i
\(738\) 23.0222 0.529043i 0.847461 0.0194743i
\(739\) 22.0584i 0.811432i −0.913999 0.405716i \(-0.867022\pi\)
0.913999 0.405716i \(-0.132978\pi\)
\(740\) −8.88819 + 9.91417i −0.326736 + 0.364452i
\(741\) 14.5488 19.7854i 0.534463 0.726834i
\(742\) 26.7973 0.615792i 0.983760 0.0226064i
\(743\) 7.61946 7.61946i 0.279531 0.279531i −0.553391 0.832922i \(-0.686666\pi\)
0.832922 + 0.553391i \(0.186666\pi\)
\(744\) −14.6699 12.7752i −0.537825 0.468362i
\(745\) −24.5189 + 0.209925i −0.898305 + 0.00769107i
\(746\) 18.8197 19.7050i 0.689040 0.721453i
\(747\) 18.7612 + 18.7612i 0.686438 + 0.686438i
\(748\) −10.3953 9.48134i −0.380091 0.346672i
\(749\) 15.8971 0.580866
\(750\) 38.5804 + 34.9973i 1.40876 + 1.27792i
\(751\) 44.8924i 1.63815i 0.573687 + 0.819074i \(0.305512\pi\)
−0.573687 + 0.819074i \(0.694488\pi\)
\(752\) −13.2033 10.9750i −0.481474 0.400216i
\(753\) 41.2494 41.2494i 1.50321 1.50321i
\(754\) 6.36107 + 36.1187i 0.231656 + 1.31536i
\(755\) −39.4856 + 0.338066i −1.43703 + 0.0123035i
\(756\) 89.0446 4.09459i 3.23852 0.148919i
\(757\) 23.9690 + 23.9690i 0.871169 + 0.871169i 0.992600 0.121431i \(-0.0387483\pi\)
−0.121431 + 0.992600i \(0.538748\pi\)
\(758\) 0.863833 + 37.5912i 0.0313758 + 1.36538i
\(759\) 13.9030i 0.504647i
\(760\) −1.01225 13.0371i −0.0367183 0.472907i
\(761\) 38.3827i 1.39137i −0.718347 0.695685i \(-0.755101\pi\)
0.718347 0.695685i \(-0.244899\pi\)
\(762\) 72.5442 1.66704i 2.62800 0.0603904i
\(763\) −26.1974 26.1974i −0.948410 0.948410i
\(764\) 1.27845 + 27.8023i 0.0462527 + 1.00585i
\(765\) 31.3126 31.8534i 1.13211 1.15166i
\(766\) −11.1056 + 11.6280i −0.401262 + 0.420137i
\(767\) −5.24742 34.4051i −0.189473 1.24229i
\(768\) −43.4562 29.8318i −1.56809 1.07646i
\(769\) 22.2289 0.801594 0.400797 0.916167i \(-0.368733\pi\)
0.400797 + 0.916167i \(0.368733\pi\)
\(770\) −17.7746 16.6874i −0.640554 0.601374i
\(771\) 44.7774i 1.61262i
\(772\) −36.5616 33.3470i −1.31588 1.20018i
\(773\) −29.7075 29.7075i −1.06850 1.06850i −0.997474 0.0710290i \(-0.977372\pi\)
−0.0710290 0.997474i \(-0.522628\pi\)
\(774\) 14.9094 15.6107i 0.535906 0.561116i
\(775\) −10.4368 + 0.178728i