Properties

Label 260.2.p.d.103.17
Level $260$
Weight $2$
Character 260.103
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 103.17
Character \(\chi\) \(=\) 260.103
Dual form 260.2.p.d.207.17

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0324895 + 1.41384i) q^{2} +(2.32949 - 2.32949i) q^{3} +(-1.99789 + 0.0918700i) q^{4} +(-2.23599 - 0.0191440i) q^{5} +(3.36921 + 3.21784i) q^{6} +(1.97121 - 1.97121i) q^{7} +(-0.194800 - 2.82171i) q^{8} -7.85303i q^{9} +O(q^{10})\) \(q+(0.0324895 + 1.41384i) 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} +(-0.194800 - 2.82171i) q^{8} -7.85303i q^{9} +(-0.0455796 - 3.16195i) q^{10} +2.76564 q^{11} +(-4.44005 + 4.86807i) q^{12} +(0.543628 + 3.56433i) 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} +(11.1029 - 0.255141i) q^{18} -2.06756i q^{19} +(4.46901 - 0.167172i) q^{20} -9.18381i q^{21} +(0.0898542 + 3.91017i) 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} +(-3.75716 + 4.11935i) q^{28} +7.19247i q^{29} +(-7.47190 - 7.25955i) q^{30} -2.08767 q^{31} +(0.648419 + 5.61957i) 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} +(2.92320 - 0.0671739i) q^{38} +(9.56945 + 7.03670i) q^{39} +(0.381551 + 6.31304i) q^{40} +2.07353i q^{41} +(12.9844 - 0.298378i) 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} +(8.42350 - 10.1338i) q^{48} -0.771320i q^{49} +(0.0413830 + 7.07095i) q^{50} +8.37988i q^{51} +(-1.41356 - 7.07120i) 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} +(-10.1690 + 0.233680i) q^{58} +9.65260i q^{59} +(10.0211 - 10.7999i) q^{60} +6.83718 q^{61} +(-0.0678274 - 2.95163i) q^{62} +(-15.4800 - 15.4800i) q^{63} +(-7.92411 + 1.09934i) q^{64} +(-1.14731 - 7.98021i) q^{65} +(9.31801 + 8.89938i) q^{66} +(10.5309 - 10.5309i) q^{67} +(3.42827 - 3.75875i) q^{68} +5.02705i q^{69} +(-6.32271 - 6.14301i) q^{70} -3.76638 q^{71} +(-22.1590 + 1.52977i) 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} +(-9.63786 + 13.7583i) q^{78} +3.36550 q^{79} +(-8.91323 + 0.744560i) q^{80} -29.1110 q^{81} +(-2.93164 + 0.0673679i) 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} +(-0.538746 - 7.80383i) q^{88} -3.39594 q^{89} +(-24.8309 + 0.357938i) q^{90} +(8.09764 + 5.95444i) q^{91} +(2.05660 - 2.25486i) 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} +(1.09052 - 0.0250598i) 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 \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).

\(n\) \(41\) \(131\) \(157\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0324895 + 1.41384i 0.0229736 + 0.999736i
\(3\) 2.32949 2.32949i 1.34493 1.34493i 0.453856 0.891075i \(-0.350048\pi\)
0.891075 0.453856i \(-0.149952\pi\)
\(4\) −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 −0.228498 0.973544i \(-0.573381\pi\)
0.973544 + 0.228498i \(0.0733814\pi\)
\(8\) −0.194800 2.82171i −0.0688722 0.997625i
\(9\) 7.85303i 2.61768i
\(10\) −0.0455796 3.16195i −0.0144135 0.999896i
\(11\) 2.76564 0.833871 0.416935 0.908936i \(-0.363104\pi\)
0.416935 + 0.908936i \(0.363104\pi\)
\(12\) −4.44005 + 4.86807i −1.28173 + 1.40529i
\(13\) 0.543628 + 3.56433i 0.150775 + 0.988568i
\(14\) 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 −0.890744 0.454506i \(-0.849816\pi\)
0.454506 + 0.890744i \(0.349816\pi\)
\(18\) 11.1029 0.255141i 2.61699 0.0601374i
\(19\) 2.06756i 0.474330i −0.971469 0.237165i \(-0.923782\pi\)
0.971469 0.237165i \(-0.0762182\pi\)
\(20\) 4.46901 0.167172i 0.999301 0.0373809i
\(21\) 9.18381i 2.00407i
\(22\) 0.0898542 + 3.91017i 0.0191570 + 0.833651i
\(23\) −1.07900 + 1.07900i −0.224988 + 0.224988i −0.810595 0.585607i \(-0.800856\pi\)
0.585607 + 0.810595i \(0.300856\pi\)
\(24\) −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
\(28\) −3.75716 + 4.11935i −0.710036 + 0.778484i
\(29\) 7.19247i 1.33561i 0.744337 + 0.667804i \(0.232766\pi\)
−0.744337 + 0.667804i \(0.767234\pi\)
\(30\) −7.47190 7.25955i −1.36418 1.32541i
\(31\) −2.08767 −0.374957 −0.187478 0.982269i \(-0.560031\pi\)
−0.187478 + 0.982269i \(0.560031\pi\)
\(32\) 0.648419 + 5.61957i 0.114625 + 0.993409i
\(33\) 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 \(-0.171299\pi\)
−0.512549 + 0.858658i \(0.671299\pi\)
\(38\) 2.92320 0.0671739i 0.474205 0.0108971i
\(39\) 9.56945 + 7.03670i 1.53234 + 1.12677i
\(40\) 0.381551 + 6.31304i 0.0603285 + 0.998179i
\(41\) 2.07353i 0.323831i 0.986805 + 0.161915i \(0.0517671\pi\)
−0.986805 + 0.161915i \(0.948233\pi\)
\(42\) 12.9844 0.298378i 2.00354 0.0460407i
\(43\) −1.37442 + 1.37442i −0.209596 + 0.209596i −0.804096 0.594500i \(-0.797350\pi\)
0.594500 + 0.804096i \(0.297350\pi\)
\(44\) −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 −0.892923 0.450210i \(-0.851349\pi\)
0.450210 + 0.892923i \(0.351349\pi\)
\(48\) 8.42350 10.1338i 1.21583 1.46268i
\(49\) 0.771320i 0.110189i
\(50\) 0.0413830 + 7.07095i 0.00585244 + 0.999983i
\(51\) 8.37988i 1.17342i
\(52\) −1.41356 7.07120i −0.196026 0.980599i
\(53\) −4.80760 4.80760i −0.660375 0.660375i 0.295093 0.955468i \(-0.404649\pi\)
−0.955468 + 0.295093i \(0.904649\pi\)
\(54\) 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
\(58\) −10.1690 + 0.233680i −1.33526 + 0.0306837i
\(59\) 9.65260i 1.25666i 0.777947 + 0.628330i \(0.216261\pi\)
−0.777947 + 0.628330i \(0.783739\pi\)
\(60\) 10.0211 10.7999i 1.29372 1.39427i
\(61\) 6.83718 0.875412 0.437706 0.899118i \(-0.355791\pi\)
0.437706 + 0.899118i \(0.355791\pi\)
\(62\) −0.0678274 2.95163i −0.00861409 0.374858i
\(63\) −15.4800 15.4800i −1.95029 1.95029i
\(64\) −7.92411 + 1.09934i −0.990513 + 0.137417i
\(65\) −1.14731 7.98021i −0.142306 0.989823i
\(66\) 9.31801 + 8.89938i 1.14697 + 1.09544i
\(67\) 10.5309 10.5309i 1.28656 1.28656i 0.349695 0.936864i \(-0.386285\pi\)
0.936864 0.349695i \(-0.113715\pi\)
\(68\) 3.42827 3.75875i 0.415738 0.455815i
\(69\) 5.02705i 0.605186i
\(70\) −6.32271 6.14301i −0.755708 0.734230i
\(71\) −3.76638 −0.446987 −0.223493 0.974705i \(-0.571746\pi\)
−0.223493 + 0.974705i \(0.571746\pi\)
\(72\) −22.1590 + 1.52977i −2.61146 + 0.180285i
\(73\) −0.228478 + 0.228478i −0.0267413 + 0.0267413i −0.720351 0.693610i \(-0.756019\pi\)
0.693610 + 0.720351i \(0.256019\pi\)
\(74\) −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
\(78\) −9.63786 + 13.7583i −1.09127 + 1.55782i
\(79\) 3.36550 0.378648 0.189324 0.981915i \(-0.439370\pi\)
0.189324 + 0.981915i \(0.439370\pi\)
\(80\) −8.91323 + 0.744560i −0.996529 + 0.0832443i
\(81\) −29.1110 −3.23456
\(82\) −2.93164 + 0.0673679i −0.323745 + 0.00743954i
\(83\) 2.38904 + 2.38904i 0.262232 + 0.262232i 0.825960 0.563729i \(-0.190634\pi\)
−0.563729 + 0.825960i \(0.690634\pi\)
\(84\) 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
\(88\) −0.538746 7.80383i −0.0574305 0.831891i
\(89\) −3.39594 −0.359969 −0.179985 0.983669i \(-0.557605\pi\)
−0.179985 + 0.983669i \(0.557605\pi\)
\(90\) −24.8309 + 0.357938i −2.61741 + 0.0377300i
\(91\) 8.09764 + 5.95444i 0.848864 + 0.624195i
\(92\) 2.05660 2.25486i 0.214415 0.235085i
\(93\) −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 \(-0.375057\pi\)
−0.923948 + 0.382518i \(0.875057\pi\)
\(98\) 1.09052 0.0250598i 0.110160 0.00253142i
\(99\) 21.7186i 2.18281i
\(100\) −9.99585 + 0.288241i −0.999585 + 0.0288241i
\(101\) 2.70868 0.269524 0.134762 0.990878i \(-0.456973\pi\)
0.134762 + 0.990878i \(0.456973\pi\)
\(102\) −11.8478 + 0.272258i −1.17311 + 0.0269576i
\(103\) −2.34247 + 2.34247i −0.230810 + 0.230810i −0.813031 0.582221i \(-0.802184\pi\)
0.582221 + 0.813031i \(0.302184\pi\)
\(104\) 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 \(-0.338891\pi\)
−0.874623 + 0.484804i \(0.838891\pi\)
\(108\) 23.6249 + 21.5477i 2.27331 + 2.07343i
\(109\) 13.2900 1.27295 0.636477 0.771296i \(-0.280391\pi\)
0.636477 + 0.771296i \(0.280391\pi\)
\(110\) −0.126057 8.74480i −0.0120190 0.833784i
\(111\) 9.80852 0.930984
\(112\) 7.12794 8.57517i 0.673527 0.810278i
\(113\) −8.26021 8.26021i −0.777055 0.777055i 0.202274 0.979329i \(-0.435167\pi\)
−0.979329 + 0.202274i \(0.935167\pi\)
\(114\) 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
\(117\) 27.9908 4.26913i 2.58775 0.394681i
\(118\) −13.6472 + 0.313608i −1.25633 + 0.0288700i
\(119\) 7.09103i 0.650034i
\(120\) 15.5950 + 13.8173i 1.42362 + 1.26134i
\(121\) −3.35125 −0.304659
\(122\) 0.222137 + 9.66669i 0.0201113 + 0.875181i
\(123\) 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 \(-0.492841\pi\)
−0.999747 + 0.0224874i \(0.992841\pi\)
\(128\) −1.81174 11.1677i −0.160137 0.987095i
\(129\) 6.40337i 0.563785i
\(130\) 11.2455 1.88139i 0.986292 0.165008i
\(131\) 0.116373i 0.0101676i 0.999987 + 0.00508378i \(0.00161822\pi\)
−0.999987 + 0.00508378i \(0.998382\pi\)
\(132\) −12.2796 + 13.4633i −1.06880 + 1.17183i
\(133\) −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 \(-0.00874807\pi\)
−0.0274794 + 0.999622i \(0.508748\pi\)
\(138\) −7.10745 + 0.163326i −0.605026 + 0.0139033i
\(139\) 13.9762 1.18545 0.592725 0.805405i \(-0.298052\pi\)
0.592725 + 0.805405i \(0.298052\pi\)
\(140\) 8.47982 9.13888i 0.716675 0.772376i
\(141\) 14.1404i 1.19084i
\(142\) −0.122368 5.32506i −0.0102689 0.446869i
\(143\) 1.50348 + 9.85765i 0.125727 + 0.824338i
\(144\) −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
\(148\) −4.39956 4.01273i −0.361641 0.329845i
\(149\) 10.9656 0.898337 0.449169 0.893447i \(-0.351720\pi\)
0.449169 + 0.893447i \(0.351720\pi\)
\(150\) 16.5681 + 16.3753i 1.35278 + 1.33704i
\(151\) −17.6591 −1.43708 −0.718540 0.695486i \(-0.755189\pi\)
−0.718540 + 0.695486i \(0.755189\pi\)
\(152\) −5.83405 + 0.402760i −0.473204 + 0.0326682i
\(153\) 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 −0.0920491 + 0.995754i \(0.529342\pi\)
−0.995754 + 0.0920491i \(0.970658\pi\)
\(158\) 0.109344 + 4.75828i 0.00869890 + 0.378549i
\(159\) −22.3985 −1.77632
\(160\) −1.34228 12.5777i −0.106116 0.994354i
\(161\) 4.25388i 0.335253i
\(162\) −0.945804 41.1584i −0.0743094 3.23371i
\(163\) −4.50085 4.50085i −0.352534 0.352534i 0.508518 0.861052i \(-0.330194\pi\)
−0.861052 + 0.508518i \(0.830194\pi\)
\(164\) −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 −0.378837 0.925463i \(-0.623676\pi\)
0.925463 + 0.378837i \(0.123676\pi\)
\(168\) −25.9141 + 1.78901i −1.99931 + 0.138025i
\(169\) −12.4089 + 3.87534i −0.954534 + 0.298103i
\(170\) 5.76923 + 5.60527i 0.442480 + 0.429904i
\(171\) −16.2366 −1.24164
\(172\) 2.61966 2.87220i 0.199747 0.219003i
\(173\) 2.54024 + 2.54024i 0.193131 + 0.193131i 0.797047 0.603917i \(-0.206394\pi\)
−0.603917 + 0.797047i \(0.706394\pi\)
\(174\) −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
\(178\) −0.110333 4.80132i −0.00826978 0.359874i
\(179\) 0.176655 0.0132038 0.00660192 0.999978i \(-0.497899\pi\)
0.00660192 + 0.999978i \(0.497899\pi\)
\(180\) −1.31281 35.0953i −0.0978511 2.61585i
\(181\) 13.6105 1.01166 0.505828 0.862634i \(-0.331187\pi\)
0.505828 + 0.862634i \(0.331187\pi\)
\(182\) −8.15553 + 11.6422i −0.604528 + 0.862980i
\(183\) 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
\(188\) 5.78494 6.34261i 0.421910 0.462582i
\(189\) −44.5694 −3.24194
\(190\) −6.53751 + 0.0942384i −0.474281 + 0.00683677i
\(191\) 13.9159i 1.00692i 0.864020 + 0.503458i \(0.167939\pi\)
−0.864020 + 0.503458i \(0.832061\pi\)
\(192\) −15.8982 + 21.0200i −1.14736 + 1.51699i
\(193\) 17.4956 17.4956i 1.25936 1.25936i 0.307964 0.951398i \(-0.400352\pi\)
0.951398 0.307964i \(-0.0996478\pi\)
\(194\) 7.36600 7.71250i 0.528848 0.553725i
\(195\) −21.2624 15.9172i −1.52264 1.13985i
\(196\) 0.0708612 + 1.54101i 0.00506151 + 0.110072i
\(197\) −1.46918 1.46918i −0.104675 0.104675i 0.652830 0.757505i \(-0.273582\pi\)
−0.757505 + 0.652830i \(0.773582\pi\)
\(198\) 30.7067 0.705628i 2.18223 0.0501468i
\(199\) −12.6116 −0.894010 −0.447005 0.894531i \(-0.647509\pi\)
−0.447005 + 0.894531i \(0.647509\pi\)
\(200\) −0.732286 14.1232i −0.0517805 0.998658i
\(201\) 49.0634i 3.46066i
\(202\) 0.0880037 + 3.82964i 0.00619192 + 0.269453i
\(203\) 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
\(208\) 3.47377 + 13.9976i 0.240863 + 0.970559i
\(209\) 5.71811i 0.395530i
\(210\) −29.0387 + 0.418594i −2.00386 + 0.0288857i
\(211\) 1.88981i 0.130100i 0.997882 + 0.0650498i \(0.0207206\pi\)
−0.997882 + 0.0650498i \(0.979279\pi\)
\(212\) 10.0467 + 9.16338i 0.690012 + 0.629344i
\(213\) −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
\(218\) 0.431787 + 18.7900i 0.0292443 + 1.27262i
\(219\) 1.06447i 0.0719305i
\(220\) 12.3597 0.462338i 0.833288 0.0311708i
\(221\) −7.38879 5.43320i −0.497024 0.365476i
\(222\) 0.318674 + 13.8677i 0.0213880 + 0.930738i
\(223\) −16.9564 16.9564i −1.13548 1.13548i −0.989250 0.146235i \(-0.953285\pi\)
−0.146235 0.989250i \(-0.546715\pi\)
\(224\) 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 −0.981502 0.191449i \(-0.938681\pi\)
0.191449 + 0.981502i \(0.438681\pi\)
\(228\) 10.0650 + 9.18006i 0.666572 + 0.607964i
\(229\) −11.3479 −0.749888 −0.374944 0.927048i \(-0.622338\pi\)
−0.374944 + 0.927048i \(0.622338\pi\)
\(230\) 3.46093 + 3.36257i 0.228207 + 0.221721i
\(231\) 25.3991i 1.67114i
\(232\) 20.2951 1.40109i 1.33244 0.0919862i
\(233\) −13.9055 13.9055i −0.910979 0.910979i 0.0853703 0.996349i \(-0.472793\pi\)
−0.996349 + 0.0853703i \(0.972793\pi\)
\(234\) 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
\(238\) −10.0256 + 0.230384i −0.649862 + 0.0149336i
\(239\) 14.6554i 0.947981i −0.880530 0.473991i \(-0.842813\pi\)
0.880530 0.473991i \(-0.157187\pi\)
\(240\) −19.0288 + 22.4977i −1.22830 + 1.45222i
\(241\) 21.9420i 1.41341i 0.707511 + 0.706703i \(0.249818\pi\)
−0.707511 + 0.706703i \(0.750182\pi\)
\(242\) −0.108881 4.73814i −0.00699911 0.304579i
\(243\) −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
\(247\) 7.36946 1.12398i 0.468908 0.0715173i
\(248\) 0.406678 + 5.89081i 0.0258241 + 0.374066i
\(249\) 11.1305 0.705367
\(250\) 0.0428343 15.8113i 0.00270908 0.999996i
\(251\) 17.7075i 1.11769i 0.829273 + 0.558843i \(0.188755\pi\)
−0.829273 + 0.558843i \(0.811245\pi\)
\(252\) 32.3494 + 29.5051i 2.03782 + 1.85865i
\(253\) −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 −0.340667 0.940184i \(-0.610653\pi\)
0.940184 + 0.340667i \(0.110653\pi\)
\(258\) −9.05334 + 0.208042i −0.563637 + 0.0129522i
\(259\) 8.29995 0.515734
\(260\) 3.02534 + 15.8382i 0.187624 + 0.982241i
\(261\) 56.4827 3.49619
\(262\) −0.164533 + 0.00378090i −0.0101649 + 0.000233585i
\(263\) −0.442921 + 0.442921i −0.0273117 + 0.0273117i −0.720631 0.693319i \(-0.756148\pi\)
0.693319 + 0.720631i \(0.256148\pi\)
\(264\) −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
\(268\) −20.0722 + 22.0071i −1.22610 + 1.34430i
\(269\) 19.9649i 1.21728i −0.793446 0.608641i \(-0.791715\pi\)
0.793446 0.608641i \(-0.208285\pi\)
\(270\) −35.2308 + 36.2614i −2.14408 + 2.20680i
\(271\) −19.6206 −1.19186 −0.595932 0.803035i \(-0.703217\pi\)
−0.595932 + 0.803035i \(0.703217\pi\)
\(272\) −6.50398 + 7.82452i −0.394361 + 0.474431i
\(273\) 32.7342 4.99258i 1.98116 0.302165i
\(274\) −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 −0.783904 0.620882i \(-0.786775\pi\)
0.620882 + 0.783904i \(0.286775\pi\)
\(278\) 0.454081 + 19.7602i 0.0272340 + 1.18514i
\(279\) 16.3946i 0.981516i
\(280\) 13.1964 + 11.6922i 0.788637 + 0.698742i
\(281\) 10.7683i 0.642383i 0.947014 + 0.321191i \(0.104083\pi\)
−0.947014 + 0.321191i \(0.895917\pi\)
\(282\) −19.9923 + 0.459415i −1.19052 + 0.0273578i
\(283\) 9.22116 9.22116i 0.548141 0.548141i −0.377762 0.925903i \(-0.623306\pi\)
0.925903 + 0.377762i \(0.123306\pi\)
\(284\) 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
\(288\) 44.1307 5.09206i 2.60042 0.300052i
\(289\) 10.5297i 0.619394i
\(290\) 22.7422 0.327830i 1.33547 0.0192508i
\(291\) −24.8438 −1.45637
\(292\) 0.435483 0.477464i 0.0254847 0.0279415i
\(293\) −1.67405 + 1.67405i −0.0977990 + 0.0977990i −0.754313 0.656514i \(-0.772030\pi\)
0.656514 + 0.754313i \(0.272030\pi\)
\(294\) 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
\(298\) 0.356267 + 15.5036i 0.0206380 + 0.898100i
\(299\) −4.43250 3.25935i −0.256338 0.188493i
\(300\) −22.6138 + 23.9567i −1.30561 + 1.38314i
\(301\) 5.41852i 0.312318i
\(302\) −0.573736 24.9672i −0.0330148 1.43670i
\(303\) 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 −0.129968 + 0.991518i \(0.541487\pi\)
−0.991518 + 0.129968i \(0.958513\pi\)
\(308\) −10.3909 + 11.3926i −0.592079 + 0.649155i
\(309\) 10.9135i 0.620847i
\(310\) 0.0951552 + 6.60111i 0.00540445 + 0.374918i
\(311\) 33.7067i 1.91133i −0.294458 0.955664i \(-0.595139\pi\)
0.294458 0.955664i \(-0.404861\pi\)
\(312\) 17.9914 28.3730i 1.01856 1.60630i
\(313\) −14.3198 14.3198i −0.809405 0.809405i 0.175139 0.984544i \(-0.443963\pi\)
−0.984544 + 0.175139i \(0.943963\pi\)
\(314\) −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 −0.996726 0.0808584i \(-0.974234\pi\)
−0.0808584 0.996726i \(-0.525766\pi\)
\(318\) −0.727717 31.6679i −0.0408083 1.77585i
\(319\) 19.8918i 1.11372i
\(320\) 17.7392 2.30641i 0.991653 0.128932i
\(321\) −18.7865 −1.04856
\(322\) −6.01430 + 0.138206i −0.335164 + 0.00770194i
\(323\) 3.71882 + 3.71882i 0.206921 + 0.206921i
\(324\) 58.1606 2.67443i 3.23115 0.148579i
\(325\) 2.41260 + 17.8656i 0.133827 + 0.991005i
\(326\) 6.21725 6.50971i 0.344342 0.360540i
\(327\) 30.9590 30.9590i 1.71204 1.71204i
\(328\) 5.85090 0.403923i 0.323062 0.0223029i
\(329\) 11.9656i 0.659684i
\(330\) −20.6646 20.0773i −1.13755 1.10522i
\(331\) 13.7338 0.754877 0.377439 0.926035i \(-0.376805\pi\)
0.377439 + 0.926035i \(0.376805\pi\)
\(332\) −4.99253 4.55356i −0.274000 0.249909i
\(333\) 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 −0.874221 0.485527i \(-0.838628\pi\)
0.485527 + 0.874221i \(0.338628\pi\)
\(338\) −5.88228 17.4183i −0.319954 0.947433i
\(339\) −38.4841 −2.09017
\(340\) −7.73751 + 8.33888i −0.419625 + 0.452239i
\(341\) −5.77374 −0.312666
\(342\) −0.527519 22.9560i −0.0285250 1.24132i
\(343\) 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 −0.968293 0.249817i \(-0.919630\pi\)
−0.249817 0.968293i \(-0.580370\pi\)
\(348\) −35.0134 31.9349i −1.87692 1.71189i
\(349\) 17.6400 0.944247 0.472124 0.881532i \(-0.343488\pi\)
0.472124 + 0.881532i \(0.343488\pi\)
\(350\) 14.0199 + 13.8567i 0.749394 + 0.740673i
\(351\) 34.1493 46.4409i 1.82276 2.47883i
\(352\) 1.79329 + 15.5417i 0.0955828 + 0.828375i
\(353\) −24.4668 + 24.4668i −1.30224 + 1.30224i −0.375359 + 0.926879i \(0.622481\pi\)
−0.926879 + 0.375359i \(0.877519\pi\)
\(354\) −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
\(358\) 0.00573945 + 0.249762i 0.000303339 + 0.0132004i
\(359\) 26.5212i 1.39973i −0.714273 0.699867i \(-0.753243\pi\)
0.714273 0.699867i \(-0.246757\pi\)
\(360\) 49.5765 2.99633i 2.61291 0.157921i
\(361\) 14.7252 0.775011
\(362\) 0.442197 + 19.2430i 0.0232414 + 1.01139i
\(363\) −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 \(-0.184586\pi\)
−0.547935 + 0.836521i \(0.684586\pi\)
\(368\) −3.90170 + 4.69389i −0.203390 + 0.244686i
\(369\) 16.2835 0.847684
\(370\) 6.56088 6.75279i 0.341084 0.351061i
\(371\) −18.9536 −0.984020
\(372\) 9.26936 10.1629i 0.480594 0.526923i
\(373\) −13.6242 13.6242i −0.705432 0.705432i 0.260139 0.965571i \(-0.416232\pi\)
−0.965571 + 0.260139i \(0.916232\pi\)
\(374\) −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
\(377\) −25.6364 + 3.91003i −1.32034 + 0.201377i
\(378\) −1.44804 63.0140i −0.0744790 3.24109i
\(379\) 26.5880i 1.36574i 0.730542 + 0.682868i \(0.239268\pi\)
−0.730542 + 0.682868i \(0.760732\pi\)
\(380\) −0.345639 9.23994i −0.0177309 0.473999i
\(381\) −51.3101 −2.62869
\(382\) −19.6748 + 0.452119i −1.00665 + 0.0231324i
\(383\) 8.03967 + 8.03967i 0.410808 + 0.410808i 0.882020 0.471212i \(-0.156183\pi\)
−0.471212 + 0.882020i \(0.656183\pi\)
\(384\) −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
\(388\) 11.1436 + 10.1638i 0.565729 + 0.515988i
\(389\) 15.3855i 0.780076i −0.920799 0.390038i \(-0.872462\pi\)
0.920799 0.390038i \(-0.127538\pi\)
\(390\) 21.8135 30.5788i 1.10457 1.54842i
\(391\) 3.88150i 0.196296i
\(392\) −2.17644 + 0.150253i −0.109927 + 0.00758893i
\(393\) 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 \(-0.240394\pi\)
−0.685450 + 0.728120i \(0.740394\pi\)
\(398\) −0.409744 17.8307i −0.0205386 0.893774i
\(399\) −18.9881 −0.950592
\(400\) 19.9441 1.49419i 0.997205 0.0747095i
\(401\) 2.07340i 0.103541i −0.998659 0.0517704i \(-0.983514\pi\)
0.998659 0.0517704i \(-0.0164864\pi\)
\(402\) 69.3678 1.59405i 3.45975 0.0795038i
\(403\) −1.13492 7.44116i −0.0565342 0.370670i
\(404\) −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
\(408\) 23.6456 1.63240i 1.17063 0.0808158i
\(409\) 5.67158 0.280442 0.140221 0.990120i \(-0.455219\pi\)
0.140221 + 0.990120i \(0.455219\pi\)
\(410\) 6.55639 0.0945105i 0.323797 0.00466754i
\(411\) 53.0128 2.61493
\(412\) 4.46479 4.89519i 0.219964 0.241169i
\(413\) 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
\(418\) 8.08450 0.185779i 0.395426 0.00908673i
\(419\) 19.1062 0.933399 0.466699 0.884416i \(-0.345443\pi\)
0.466699 + 0.884416i \(0.345443\pi\)
\(420\) −1.53528 41.0426i −0.0749140 2.00267i
\(421\) 20.3290i 0.990773i 0.868673 + 0.495387i \(0.164974\pi\)
−0.868673 + 0.495387i \(0.835026\pi\)
\(422\) −2.67188 + 0.0613989i −0.130065 + 0.00298885i
\(423\) 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
\(428\) 8.42657 + 7.68567i 0.407314 + 0.371501i
\(429\) 26.4656 + 19.4609i 1.27777 + 0.939583i
\(430\) 4.40848 + 4.28319i 0.212596 + 0.206554i
\(431\) −34.3570 −1.65492 −0.827460 0.561524i \(-0.810215\pi\)
−0.827460 + 0.561524i \(0.810215\pi\)
\(432\) −49.1795 40.8795i −2.36615 1.96682i
\(433\) 20.9912 + 20.9912i 1.00877 + 1.00877i 0.999961 + 0.00881105i \(0.00280468\pi\)
0.00881105 + 0.999961i \(0.497195\pi\)
\(434\) −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
\(438\) −1.50500 + 0.0345842i −0.0719115 + 0.00165250i
\(439\) 16.6708 0.795656 0.397828 0.917460i \(-0.369764\pi\)
0.397828 + 0.917460i \(0.369764\pi\)
\(440\) 1.05523 + 17.4596i 0.0503062 + 0.832352i
\(441\) −6.05720 −0.288438
\(442\) 7.44161 10.6231i 0.353962 0.505289i
\(443\) 21.7096 21.7096i 1.03146 1.03146i 0.0319665 0.999489i \(-0.489823\pi\)
0.999489 0.0319665i \(-0.0101770\pi\)
\(444\) −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
\(448\) −13.4530 + 17.7871i −0.635596 + 0.840361i
\(449\) 31.2426 1.47443 0.737215 0.675658i \(-0.236140\pi\)
0.737215 + 0.675658i \(0.236140\pi\)
\(450\) 55.5284 0.324982i 2.61763 0.0153198i
\(451\) 5.73462i 0.270033i
\(452\) 17.2618 + 15.7441i 0.811929 + 0.740541i
\(453\) −41.1367 + 41.1367i −1.93277 + 1.93277i
\(454\) −17.2162 16.4427i −0.807995 0.771694i
\(455\) −17.9922 13.4691i −0.843489 0.631439i
\(456\) −12.6521 + 14.5286i −0.592490 + 0.680363i
\(457\) −22.4089 22.4089i −1.04824 1.04824i −0.998776 0.0494661i \(-0.984248\pi\)
−0.0494661 0.998776i \(-0.515752\pi\)
\(458\) −0.368686 16.0441i −0.0172276 0.749690i
\(459\) 40.6678 1.89821
\(460\) −4.64170 + 5.00245i −0.216420 + 0.233241i
\(461\) 14.9213i 0.694953i 0.937689 + 0.347477i \(0.112961\pi\)
−0.937689 + 0.347477i \(0.887039\pi\)
\(462\) 35.9103 0.825204i 1.67070 0.0383920i
\(463\) −12.5507 12.5507i −0.583282 0.583282i 0.352522 0.935804i \(-0.385324\pi\)
−0.935804 + 0.352522i \(0.885324\pi\)
\(464\) 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 \(-0.404898\pi\)
−0.955699 + 0.294346i \(0.904898\pi\)
\(468\) −55.5304 + 11.1008i −2.56689 + 0.513133i
\(469\) 41.5173i 1.91709i
\(470\) 9.73514 + 9.45846i 0.449048 + 0.436286i
\(471\) 63.5025i 2.92604i
\(472\) 27.2368 1.88032i 1.25368 0.0865490i
\(473\) −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
\(478\) 20.7204 0.476148i 0.947731 0.0217785i
\(479\) 0.392894i 0.0179518i −0.999960 0.00897588i \(-0.997143\pi\)
0.999960 0.00897588i \(-0.00285715\pi\)
\(480\) −32.4264 26.1728i −1.48006 1.19462i
\(481\) −6.35947 + 8.64847i −0.289967 + 0.394336i
\(482\) −31.0224 + 0.712883i −1.41303 + 0.0324709i
\(483\) 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 −0.480089 0.877220i \(-0.659396\pi\)
0.877220 + 0.480089i \(0.159396\pi\)
\(488\) −1.33188 19.2926i −0.0602915 0.873333i
\(489\) −20.9694 −0.948267
\(490\) −2.43888 + 0.0351564i −0.110177 + 0.00158821i
\(491\) 2.47325i 0.111616i −0.998442 0.0558081i \(-0.982226\pi\)
0.998442 0.0558081i \(-0.0177735\pi\)
\(492\) −10.0941 9.20657i −0.455076 0.415064i
\(493\) −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
\(498\) 0.361625 + 15.7368i 0.0162048 + 0.705181i
\(499\) 17.6033i 0.788032i 0.919104 + 0.394016i \(0.128915\pi\)
−0.919104 + 0.394016i \(0.871085\pi\)
\(500\) 22.3561 0.453142i 0.999795 0.0202651i
\(501\) 32.9109i 1.47035i
\(502\) −25.0356 + 0.575308i −1.11739 + 0.0256772i
\(503\) −5.95062 + 5.95062i −0.265325 + 0.265325i −0.827213 0.561888i \(-0.810075\pi\)
0.561888 + 0.827213i \(0.310075\pi\)
\(504\) −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
\(507\) −19.8789 + 37.9340i −0.882853 + 1.68471i
\(508\) 23.0148 + 20.9913i 1.02112 + 0.931338i
\(509\) −18.7434 −0.830785 −0.415392 0.909642i \(-0.636356\pi\)
−0.415392 + 0.909642i \(0.636356\pi\)
\(510\) 26.4968 0.381951i 1.17330 0.0169131i
\(511\) 0.900755i 0.0398471i
\(512\) 4.64563 + 22.1454i 0.205310 + 0.978697i
\(513\) −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
\(518\) 0.269661 + 11.7348i 0.0118482 + 0.515597i
\(519\) 11.8349 0.519495
\(520\) −22.2943 + 4.79192i −0.977671 + 0.210140i
\(521\) −12.6489 −0.554157 −0.277078 0.960847i \(-0.589366\pi\)
−0.277078 + 0.960847i \(0.589366\pi\)
\(522\) 1.83510 + 79.8575i 0.0803199 + 3.49527i
\(523\) −14.7541 + 14.7541i −0.645150 + 0.645150i −0.951817 0.306667i \(-0.900786\pi\)
0.306667 + 0.951817i \(0.400786\pi\)
\(524\) −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
\(528\) 23.2963 28.0263i 1.01384 1.21969i
\(529\) 20.6715i 0.898761i
\(530\) −14.9823 + 15.4205i −0.650788 + 0.669825i
\(531\) 75.8022 3.28953
\(532\) 8.51699 + 7.76814i 0.369258 + 0.336792i
\(533\) −7.39074 + 1.12723i −0.320129 + 0.0488257i
\(534\) −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
\(538\) 28.2272 0.648650i 1.21696 0.0279653i
\(539\) 2.13319i 0.0918830i
\(540\) −52.4125 48.6327i −2.25547 2.09282i
\(541\) 30.7974i 1.32408i −0.749467 0.662042i \(-0.769690\pi\)
0.749467 0.662042i \(-0.230310\pi\)
\(542\) −0.637463 27.7403i −0.0273814 1.19155i
\(543\) 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 \(-0.0683570\pi\)
−0.213103 + 0.977030i \(0.568357\pi\)
\(548\) −23.7786 21.6879i −1.01577 0.926461i
\(549\) 53.6926i 2.29155i
\(550\) 0.114450 + 19.5557i 0.00488018 + 0.833857i
\(551\) 14.8708 0.633519
\(552\) 14.1849 0.979269i 0.603749 0.0416805i
\(553\) 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 \(-0.148068\pi\)
−0.448573 + 0.893746i \(0.648068\pi\)
\(558\) −23.1793 + 0.532651i −0.981257 + 0.0225489i
\(559\) −5.64605 4.15170i −0.238802 0.175598i
\(560\) −16.1021 + 19.0375i −0.680440 + 0.804481i
\(561\) 23.1757i 0.978479i
\(562\) −15.2246 + 0.349857i −0.642213 + 0.0147578i
\(563\) −13.5627 + 13.5627i −0.571601 + 0.571601i −0.932576 0.360974i \(-0.882444\pi\)
0.360974 + 0.932576i \(0.382444\pi\)
\(564\) −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
\(568\) 0.733690 + 10.6276i 0.0307849 + 0.445925i
\(569\) 18.7390i 0.785582i −0.919628 0.392791i \(-0.871510\pi\)
0.919628 0.392791i \(-0.128490\pi\)
\(570\) −15.0095 + 15.4486i −0.628680 + 0.647070i
\(571\) 8.09676i 0.338839i −0.985544 0.169419i \(-0.945811\pi\)
0.985544 0.169419i \(-0.0541892\pi\)
\(572\) −3.90940 19.5564i −0.163460 0.817693i
\(573\) 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 \(-0.439121\pi\)
−0.981766 + 0.190093i \(0.939121\pi\)
\(578\) −14.8873 + 0.342105i −0.619231 + 0.0142297i
\(579\) 81.5117i 3.38751i
\(580\) 1.20238 + 32.1432i 0.0499262 + 1.33467i
\(581\) 9.41860 0.390750
\(582\) −0.807164 35.1252i −0.0334580 1.45599i
\(583\) −13.2961 13.2961i −0.550667 0.550667i
\(584\) 0.689206 + 0.600191i 0.0285196 + 0.0248361i
\(585\) −62.6688 + 9.00986i −2.59104 + 0.372512i
\(586\) −2.42123 2.31245i −0.100020 0.0955264i
\(587\) −6.97520 + 6.97520i −0.287897 + 0.287897i −0.836248 0.548351i \(-0.815256\pi\)
0.548351 + 0.836248i \(0.315256\pi\)
\(588\) 3.75484 + 3.42470i 0.154847 + 0.141232i
\(589\) 4.31638i 0.177853i
\(590\) 30.5210 0.439961i 1.25653 0.0181129i
\(591\) −6.84487 −0.281560
\(592\) 9.15848 + 7.61280i 0.376411 + 0.312884i
\(593\) 26.5561 26.5561i 1.09053 1.09053i 0.0950558 0.995472i \(-0.469697\pi\)
0.995472 0.0950558i \(-0.0303029\pi\)
\(594\) 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
\(598\) 4.46419 6.37274i 0.182554 0.260601i
\(599\) 35.1399 1.43578 0.717889 0.696157i \(-0.245108\pi\)
0.717889 + 0.696157i \(0.245108\pi\)
\(600\) −34.6056 31.1939i −1.41277 1.27349i
\(601\) 23.8391 0.972417 0.486209 0.873843i \(-0.338380\pi\)
0.486209 + 0.873843i \(0.338380\pi\)
\(602\) −7.66092 + 0.176045i −0.312236 + 0.00717506i
\(603\) −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 \(-0.0425646\pi\)
−0.133323 + 0.991073i \(0.542565\pi\)
\(608\) 11.6188 1.34064i 0.471204 0.0543703i
\(609\) 66.0543 2.67665
\(610\) −0.311636 21.6188i −0.0126178 0.875321i
\(611\) −12.4680 9.16811i −0.504403 0.370902i
\(612\) −29.5176 26.9223i −1.19318 1.08827i
\(613\) 13.5802 13.5802i 0.548499 0.548499i −0.377507 0.926007i \(-0.623219\pi\)
0.926007 + 0.377507i \(0.123219\pi\)
\(614\) −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 0.991673 + 0.128779i \(0.0411056\pi\)
0.128779 + 0.991673i \(0.458894\pi\)
\(618\) −15.4300 + 0.354574i −0.620684 + 0.0142631i
\(619\) 18.4469i 0.741443i 0.928744 + 0.370721i \(0.120890\pi\)
−0.928744 + 0.370721i \(0.879110\pi\)
\(620\) −9.32982 + 0.349001i −0.374695 + 0.0140162i
\(621\) 24.3964 0.978996
\(622\) 47.6558 1.09511i 1.91082 0.0439100i
\(623\) −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
\(628\) 25.9793 28.4837i 1.03669 1.13662i
\(629\) −7.57339 −0.301971
\(630\) −48.2413 + 49.6524i −1.92198 + 1.97820i
\(631\) −2.29587 −0.0913973 −0.0456986 0.998955i \(-0.514551\pi\)
−0.0456986 + 0.998955i \(0.514551\pi\)
\(632\) −0.655599 9.49647i −0.0260783 0.377749i
\(633\) 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
\(637\) 2.74924 0.419311i 0.108929 0.0166137i
\(638\) −28.1238 + 0.646273i −1.11343 + 0.0255862i
\(639\) 29.5775i 1.17007i
\(640\) 3.83723 + 25.0055i 0.151680 + 0.988430i
\(641\) 38.1507 1.50686 0.753431 0.657527i \(-0.228397\pi\)
0.753431 + 0.657527i \(0.228397\pi\)
\(642\) −0.610363 26.5611i −0.0240891 1.04828i
\(643\) 23.1735 + 23.1735i 0.913875 + 0.913875i 0.996575 0.0826995i \(-0.0263542\pi\)
−0.0826995 + 0.996575i \(0.526354\pi\)
\(644\) −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 \(-0.229641\pi\)
−0.660466 + 0.750856i \(0.729641\pi\)
\(648\) 5.67083 + 82.1430i 0.222771 + 3.22688i
\(649\) 26.6956i 1.04789i
\(650\) −25.1807 + 3.99147i −0.987669 + 0.156558i
\(651\) 19.1728i 0.751441i
\(652\) 9.40569 + 8.57870i 0.368355 + 0.335968i
\(653\) 4.75371 + 4.75371i 0.186027 + 0.186027i 0.793976 0.607949i \(-0.208008\pi\)
−0.607949 + 0.793976i \(0.708008\pi\)
\(654\) 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
\(658\) −16.9174 + 0.388756i −0.659510 + 0.0151553i
\(659\) 35.0519 1.36543 0.682715 0.730685i \(-0.260799\pi\)
0.682715 + 0.730685i \(0.260799\pi\)
\(660\) 27.7147 29.8687i 1.07879 1.16264i
\(661\) 6.89099i 0.268028i 0.990979 + 0.134014i \(0.0427868\pi\)
−0.990979 + 0.134014i \(0.957213\pi\)
\(662\) 0.446204 + 19.4174i 0.0173422 + 0.754678i
\(663\) −29.8687 + 4.55554i −1.16000 + 0.176922i
\(664\) 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
\(668\) −13.4641 + 14.7620i −0.520940 + 0.571159i
\(669\) −78.9995 −3.05430
\(670\) −33.7783 32.8183i −1.30497 1.26788i
\(671\) 18.9092 0.729980
\(672\) 51.6091 5.95496i 1.99086 0.229718i
\(673\) −10.4035 10.4035i −0.401024 0.401024i 0.477570 0.878594i \(-0.341518\pi\)
−0.878594 + 0.477570i \(0.841518\pi\)
\(674\) −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 −0.145903 + 0.989299i \(0.546609\pi\)
−0.989299 + 0.145903i \(0.953391\pi\)
\(678\) −1.25033 54.4104i −0.0480187 2.08962i
\(679\) −21.0228 −0.806781
\(680\) −12.0412 10.6687i −0.461760 0.409125i
\(681\) 55.4574i 2.12513i
\(682\) −0.187586 8.16315i −0.00718304 0.312583i
\(683\) 6.74455 + 6.74455i 0.258073 + 0.258073i 0.824270 0.566197i \(-0.191586\pi\)
−0.566197 + 0.824270i \(0.691586\pi\)
\(684\) 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
\(688\) −4.96992 + 5.97900i −0.189477 + 0.227947i
\(689\) 14.5223 19.7494i 0.553257 0.752394i
\(690\) 15.8953 0.229131i 0.605123 0.00872286i
\(691\) 10.6205 0.404021 0.202010 0.979383i \(-0.435252\pi\)
0.202010 + 0.979383i \(0.435252\pi\)
\(692\) −5.30849 4.84174i −0.201798 0.184055i
\(693\) −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
\(698\) 0.573115 + 24.9401i 0.0216927 + 0.943998i
\(699\) −64.7854 −2.45041
\(700\) −19.1357 + 20.2721i −0.723262 + 0.766212i
\(701\) 6.12695 0.231412 0.115706 0.993284i \(-0.463087\pi\)
0.115706 + 0.993284i \(0.463087\pi\)
\(702\) 66.7695 + 46.7729i 2.52005 + 1.76533i
\(703\) 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
\(708\) −46.9895 42.8580i −1.76597 1.61070i
\(709\) 23.2312 0.872467 0.436233 0.899834i \(-0.356312\pi\)
0.436233 + 0.899834i \(0.356312\pi\)
\(710\) 0.171670 + 11.9091i 0.00644265 + 0.446940i
\(711\) 26.4294i 0.991180i
\(712\) 0.661530 + 9.58237i 0.0247919 + 0.359115i
\(713\) 2.25260 2.25260i 0.0843607 0.0843607i
\(714\) −22.8178 + 23.8912i −0.853935 + 0.894105i
\(715\) −3.17304 22.0703i −0.118665 0.825384i
\(716\) −0.352938 + 0.0162293i −0.0131899 + 0.000606518i
\(717\) −34.1397 34.1397i −1.27497 1.27497i
\(718\) 37.4967 0.861660i 1.39936 0.0321569i
\(719\) −49.2456 −1.83655 −0.918276 0.395940i \(-0.870419\pi\)
−0.918276 + 0.395940i \(0.870419\pi\)
\(720\) 5.84705 + 69.9959i 0.217907 + 2.60859i
\(721\) 9.23498i 0.343929i
\(722\) 0.478415 + 20.8191i 0.0178048 + 0.774806i
\(723\) 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 \(-0.0211624\pi\)
−0.0664346 + 0.997791i \(0.521162\pi\)
\(728\) 15.2243 24.0091i 0.564249 0.889838i
\(729\) 70.5996i 2.61480i
\(730\) 0.732850 + 0.712022i 0.0271240 + 0.0263531i
\(731\) 4.94419i 0.182867i
\(732\) −30.3574 + 33.2839i −1.12204 + 1.23021i
\(733\) 7.99950 7.99950i 0.295468 0.295468i −0.543768 0.839236i \(-0.683003\pi\)
0.839236 + 0.543768i \(0.183003\pi\)
\(734\) −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
\(738\) 0.529043 + 23.0222i 0.0194743 + 0.847461i
\(739\) 22.0584i 0.811432i 0.913999 + 0.405716i \(0.132978\pi\)
−0.913999 + 0.405716i \(0.867022\pi\)
\(740\) 9.76053 + 9.05664i 0.358804 + 0.332929i
\(741\) 14.5488 19.7854i 0.534463 0.726834i
\(742\) −0.615792 26.7973i −0.0226064 0.983760i
\(743\) 7.61946 + 7.61946i 0.279531 + 0.279531i 0.832922 0.553391i \(-0.186666\pi\)
−0.553391 + 0.832922i \(0.686666\pi\)
\(744\) 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
\(748\) 9.48134 10.3953i 0.346672 0.380091i
\(749\) −15.8971 −0.580866
\(750\) −36.7325 36.9321i −1.34128 1.34857i
\(751\) 44.8924i 1.63815i 0.573687 + 0.819074i \(0.305512\pi\)
−0.573687 + 0.819074i \(0.694488\pi\)
\(752\) −10.9750 + 13.2033i −0.400216 + 0.481474i
\(753\) 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 −0.121431 0.992600i \(-0.538748\pi\)
0.992600 + 0.121431i \(0.0387483\pi\)
\(758\) −37.5912 + 0.863833i −1.36538 + 0.0313758i
\(759\) 13.9030i 0.504647i
\(760\) 13.0526 0.788879i 0.473466 0.0286156i
\(761\) 38.3827i 1.39137i −0.718347 0.695685i \(-0.755101\pi\)
0.718347 0.695685i \(-0.244899\pi\)
\(762\) −1.66704 72.5442i −0.0603904 2.62800i
\(763\) 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
\(767\) −34.4051 + 5.24742i −1.24229 + 0.189473i
\(768\) 29.8318 43.4562i 1.07646 1.56809i
\(769\) −22.2289 −0.801594 −0.400797 0.916167i \(-0.631267\pi\)
−0.400797 + 0.916167i \(0.631267\pi\)
\(770\) −17.4863 16.9893i −0.630163 0.612253i
\(771\) 44.7774i 1.61262i
\(772\) −33.3470 + 36.5616i −1.20018 + 1.31588i
\(773\) 29.7075 29.7075i 1.06850 1.06850i 0.0710290 0.997474i \(-0.477372\pi\)
0.997474 0.0710290i \(-0.0226283\pi\)
\(774\) −14.9094 + 15.6107i −0.535906 + 0.561116i
\(775\) −10.4368 0.178728i −0.374902