Properties

Label 570.2.n.a.179.4
Level $570$
Weight $2$
Character 570.179
Analytic conductor $4.551$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.n (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(40\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 179.4
Character \(\chi\) \(=\) 570.179
Dual form 570.2.n.a.449.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(-1.53736 + 0.797834i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-2.22475 + 0.224660i) q^{5} +(1.73031 + 0.0777329i) q^{6} -0.0202833i q^{7} -1.00000i q^{8} +(1.72692 - 2.45311i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(-1.53736 + 0.797834i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-2.22475 + 0.224660i) q^{5} +(1.73031 + 0.0777329i) q^{6} -0.0202833i q^{7} -1.00000i q^{8} +(1.72692 - 2.45311i) q^{9} +(2.03902 + 0.917815i) q^{10} -3.99162i q^{11} +(-1.45962 - 0.932471i) q^{12} +(-0.686480 - 1.18902i) q^{13} +(-0.0101416 + 0.0175658i) q^{14} +(3.24099 - 2.12037i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-1.52225 + 2.63661i) q^{17} +(-2.72211 + 1.26099i) q^{18} +(2.10968 + 3.81435i) q^{19} +(-1.30694 - 1.81436i) q^{20} +(0.0161827 + 0.0311826i) q^{21} +(-1.99581 + 3.45685i) q^{22} +(0.607462 + 1.05215i) q^{23} +(0.797834 + 1.53736i) q^{24} +(4.89906 - 0.999626i) q^{25} +1.37296i q^{26} +(-0.697717 + 5.14910i) q^{27} +(0.0175658 - 0.0101416i) q^{28} +(3.04800 + 5.27930i) q^{29} +(-3.86697 + 0.215794i) q^{30} +4.41969i q^{31} +(0.866025 - 0.500000i) q^{32} +(3.18465 + 6.13654i) q^{33} +(2.63661 - 1.52225i) q^{34} +(0.00455684 + 0.0451253i) q^{35} +(2.98792 + 0.269003i) q^{36} +2.82556 q^{37} +(0.0801327 - 4.35816i) q^{38} +(2.00400 + 1.28025i) q^{39} +(0.224660 + 2.22475i) q^{40} +(-0.581569 + 1.00731i) q^{41} +(0.00157668 - 0.0350963i) q^{42} +(-3.23394 - 1.86712i) q^{43} +(3.45685 - 1.99581i) q^{44} +(-3.29086 + 5.84553i) q^{45} -1.21492i q^{46} +(3.51393 + 6.08631i) q^{47} +(0.0777329 - 1.73031i) q^{48} +6.99959 q^{49} +(-4.74252 - 1.58383i) q^{50} +(0.236658 - 5.26791i) q^{51} +(0.686480 - 1.18902i) q^{52} +(10.6188 - 6.13079i) q^{53} +(3.17879 - 4.11039i) q^{54} +(0.896759 + 8.88038i) q^{55} -0.0202833 q^{56} +(-6.28655 - 4.18083i) q^{57} -6.09601i q^{58} +(-5.07177 + 8.78455i) q^{59} +(3.45679 + 1.74660i) q^{60} +(-1.34395 - 2.32779i) q^{61} +(2.20984 - 3.82756i) q^{62} +(-0.0497571 - 0.0350276i) q^{63} -1.00000 q^{64} +(1.79437 + 2.49105i) q^{65} +(0.310280 - 6.90673i) q^{66} +(-1.47926 - 2.56216i) q^{67} -3.04450 q^{68} +(-1.77333 - 1.13288i) q^{69} +(0.0186163 - 0.0413581i) q^{70} +(-0.990840 + 1.71618i) q^{71} +(-2.45311 - 1.72692i) q^{72} +(6.30417 + 3.63971i) q^{73} +(-2.44701 - 1.41278i) q^{74} +(-6.73405 + 5.44542i) q^{75} +(-2.24848 + 3.73421i) q^{76} -0.0809632 q^{77} +(-1.09539 - 2.11073i) q^{78} +(8.41583 + 4.85888i) q^{79} +(0.917815 - 2.03902i) q^{80} +(-3.03549 - 8.47265i) q^{81} +(1.00731 - 0.581569i) q^{82} -7.08504 q^{83} +(-0.0189136 + 0.0296059i) q^{84} +(2.79429 - 6.20780i) q^{85} +(1.86712 + 3.23394i) q^{86} +(-8.89787 - 5.68435i) q^{87} -3.99162 q^{88} +(6.40211 + 11.0888i) q^{89} +(5.77273 - 3.41695i) q^{90} +(-0.0241172 + 0.0139241i) q^{91} +(-0.607462 + 1.05215i) q^{92} +(-3.52618 - 6.79463i) q^{93} -7.02786i q^{94} +(-5.55046 - 8.01202i) q^{95} +(-0.932471 + 1.45962i) q^{96} +(5.81546 - 10.0727i) q^{97} +(-6.06182 - 3.49979i) q^{98} +(-9.79189 - 6.89322i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 40q^{4} + O(q^{10}) \) \( 80q + 40q^{4} + 30q^{15} - 40q^{16} + 8q^{19} + 8q^{25} - 4q^{30} + 48q^{39} + 12q^{45} - 128q^{49} - 36q^{54} + 12q^{55} + 30q^{60} - 24q^{61} - 80q^{64} + 4q^{66} + 36q^{70} + 16q^{76} + 24q^{79} + 32q^{81} - 8q^{85} - 54q^{90} + 24q^{91} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 0.500000i −0.612372 0.353553i
\(3\) −1.53736 + 0.797834i −0.887592 + 0.460630i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) −2.22475 + 0.224660i −0.994940 + 0.100471i
\(6\) 1.73031 + 0.0777329i 0.706394 + 0.0317343i
\(7\) 0.0202833i 0.00766636i −0.999993 0.00383318i \(-0.998780\pi\)
0.999993 0.00383318i \(-0.00122014\pi\)
\(8\) 1.00000i 0.353553i
\(9\) 1.72692 2.45311i 0.575640 0.817703i
\(10\) 2.03902 + 0.917815i 0.644796 + 0.290239i
\(11\) 3.99162i 1.20352i −0.798677 0.601760i \(-0.794466\pi\)
0.798677 0.601760i \(-0.205534\pi\)
\(12\) −1.45962 0.932471i −0.421357 0.269181i
\(13\) −0.686480 1.18902i −0.190395 0.329774i 0.754986 0.655741i \(-0.227644\pi\)
−0.945381 + 0.325967i \(0.894310\pi\)
\(14\) −0.0101416 + 0.0175658i −0.00271047 + 0.00469467i
\(15\) 3.24099 2.12037i 0.836821 0.547476i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −1.52225 + 2.63661i −0.369200 + 0.639473i −0.989441 0.144939i \(-0.953702\pi\)
0.620241 + 0.784411i \(0.287035\pi\)
\(18\) −2.72211 + 1.26099i −0.641608 + 0.297219i
\(19\) 2.10968 + 3.81435i 0.483995 + 0.875071i
\(20\) −1.30694 1.81436i −0.292240 0.405704i
\(21\) 0.0161827 + 0.0311826i 0.00353135 + 0.00680460i
\(22\) −1.99581 + 3.45685i −0.425509 + 0.737003i
\(23\) 0.607462 + 1.05215i 0.126665 + 0.219389i 0.922382 0.386278i \(-0.126239\pi\)
−0.795718 + 0.605668i \(0.792906\pi\)
\(24\) 0.797834 + 1.53736i 0.162857 + 0.313811i
\(25\) 4.89906 0.999626i 0.979811 0.199925i
\(26\) 1.37296i 0.269260i
\(27\) −0.697717 + 5.14910i −0.134276 + 0.990944i
\(28\) 0.0175658 0.0101416i 0.00331963 0.00191659i
\(29\) 3.04800 + 5.27930i 0.566000 + 0.980341i 0.996956 + 0.0779679i \(0.0248432\pi\)
−0.430956 + 0.902373i \(0.641823\pi\)
\(30\) −3.86697 + 0.215794i −0.706008 + 0.0393984i
\(31\) 4.41969i 0.793799i 0.917862 + 0.396900i \(0.129914\pi\)
−0.917862 + 0.396900i \(0.870086\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) 3.18465 + 6.13654i 0.554377 + 1.06824i
\(34\) 2.63661 1.52225i 0.452176 0.261064i
\(35\) 0.00455684 + 0.0451253i 0.000770247 + 0.00762757i
\(36\) 2.98792 + 0.269003i 0.497986 + 0.0448339i
\(37\) 2.82556 0.464519 0.232260 0.972654i \(-0.425388\pi\)
0.232260 + 0.972654i \(0.425388\pi\)
\(38\) 0.0801327 4.35816i 0.0129992 0.706987i
\(39\) 2.00400 + 1.28025i 0.320897 + 0.205004i
\(40\) 0.224660 + 2.22475i 0.0355219 + 0.351764i
\(41\) −0.581569 + 1.00731i −0.0908258 + 0.157315i −0.907859 0.419276i \(-0.862284\pi\)
0.817033 + 0.576591i \(0.195617\pi\)
\(42\) 0.00157668 0.0350963i 0.000243287 0.00541547i
\(43\) −3.23394 1.86712i −0.493172 0.284733i 0.232718 0.972544i \(-0.425238\pi\)
−0.725889 + 0.687812i \(0.758572\pi\)
\(44\) 3.45685 1.99581i 0.521140 0.300880i
\(45\) −3.29086 + 5.84553i −0.490572 + 0.871401i
\(46\) 1.21492i 0.179131i
\(47\) 3.51393 + 6.08631i 0.512560 + 0.887779i 0.999894 + 0.0145639i \(0.00463601\pi\)
−0.487334 + 0.873216i \(0.662031\pi\)
\(48\) 0.0777329 1.73031i 0.0112198 0.249748i
\(49\) 6.99959 0.999941
\(50\) −4.74252 1.58383i −0.670694 0.223987i
\(51\) 0.236658 5.26791i 0.0331387 0.737656i
\(52\) 0.686480 1.18902i 0.0951977 0.164887i
\(53\) 10.6188 6.13079i 1.45861 0.842129i 0.459667 0.888091i \(-0.347969\pi\)
0.998943 + 0.0459626i \(0.0146355\pi\)
\(54\) 3.17879 4.11039i 0.432578 0.559353i
\(55\) 0.896759 + 8.88038i 0.120919 + 1.19743i
\(56\) −0.0202833 −0.00271047
\(57\) −6.28655 4.18083i −0.832674 0.553764i
\(58\) 6.09601i 0.800445i
\(59\) −5.07177 + 8.78455i −0.660288 + 1.14365i 0.320252 + 0.947332i \(0.396232\pi\)
−0.980540 + 0.196319i \(0.937101\pi\)
\(60\) 3.45679 + 1.74660i 0.446269 + 0.225485i
\(61\) −1.34395 2.32779i −0.172075 0.298043i 0.767070 0.641563i \(-0.221714\pi\)
−0.939145 + 0.343521i \(0.888380\pi\)
\(62\) 2.20984 3.82756i 0.280650 0.486101i
\(63\) −0.0497571 0.0350276i −0.00626880 0.00441307i
\(64\) −1.00000 −0.125000
\(65\) 1.79437 + 2.49105i 0.222565 + 0.308977i
\(66\) 0.310280 6.90673i 0.0381929 0.850160i
\(67\) −1.47926 2.56216i −0.180721 0.313017i 0.761406 0.648276i \(-0.224510\pi\)
−0.942126 + 0.335259i \(0.891176\pi\)
\(68\) −3.04450 −0.369200
\(69\) −1.77333 1.13288i −0.213484 0.136383i
\(70\) 0.0186163 0.0413581i 0.00222507 0.00494324i
\(71\) −0.990840 + 1.71618i −0.117591 + 0.203674i −0.918813 0.394694i \(-0.870851\pi\)
0.801221 + 0.598368i \(0.204184\pi\)
\(72\) −2.45311 1.72692i −0.289102 0.203520i
\(73\) 6.30417 + 3.63971i 0.737847 + 0.425996i 0.821286 0.570517i \(-0.193257\pi\)
−0.0834387 + 0.996513i \(0.526590\pi\)
\(74\) −2.44701 1.41278i −0.284459 0.164232i
\(75\) −6.73405 + 5.44542i −0.777581 + 0.628782i
\(76\) −2.24848 + 3.73421i −0.257918 + 0.428344i
\(77\) −0.0809632 −0.00922662
\(78\) −1.09539 2.11073i −0.124029 0.238993i
\(79\) 8.41583 + 4.85888i 0.946855 + 0.546667i 0.892102 0.451833i \(-0.149230\pi\)
0.0547523 + 0.998500i \(0.482563\pi\)
\(80\) 0.917815 2.03902i 0.102615 0.227970i
\(81\) −3.03549 8.47265i −0.337276 0.941406i
\(82\) 1.00731 0.581569i 0.111238 0.0642236i
\(83\) −7.08504 −0.777684 −0.388842 0.921304i \(-0.627125\pi\)
−0.388842 + 0.921304i \(0.627125\pi\)
\(84\) −0.0189136 + 0.0296059i −0.00206364 + 0.00323027i
\(85\) 2.79429 6.20780i 0.303083 0.673331i
\(86\) 1.86712 + 3.23394i 0.201336 + 0.348725i
\(87\) −8.89787 5.68435i −0.953952 0.609427i
\(88\) −3.99162 −0.425509
\(89\) 6.40211 + 11.0888i 0.678623 + 1.17541i 0.975396 + 0.220461i \(0.0707562\pi\)
−0.296773 + 0.954948i \(0.595910\pi\)
\(90\) 5.77273 3.41695i 0.608500 0.360178i
\(91\) −0.0241172 + 0.0139241i −0.00252817 + 0.00145964i
\(92\) −0.607462 + 1.05215i −0.0633323 + 0.109695i
\(93\) −3.52618 6.79463i −0.365648 0.704570i
\(94\) 7.02786i 0.724869i
\(95\) −5.55046 8.01202i −0.569465 0.822016i
\(96\) −0.932471 + 1.45962i −0.0951700 + 0.148972i
\(97\) 5.81546 10.0727i 0.590471 1.02273i −0.403698 0.914892i \(-0.632275\pi\)
0.994169 0.107833i \(-0.0343912\pi\)
\(98\) −6.06182 3.49979i −0.612336 0.353533i
\(99\) −9.79189 6.89322i −0.984122 0.692795i
\(100\) 3.31523 + 3.74289i 0.331523 + 0.374289i
\(101\) 7.98637 4.61093i 0.794674 0.458805i −0.0469317 0.998898i \(-0.514944\pi\)
0.841605 + 0.540093i \(0.181611\pi\)
\(102\) −2.83891 + 4.44382i −0.281094 + 0.440004i
\(103\) 11.1254 1.09621 0.548107 0.836408i \(-0.315349\pi\)
0.548107 + 0.836408i \(0.315349\pi\)
\(104\) −1.18902 + 0.686480i −0.116593 + 0.0673149i
\(105\) −0.0430080 0.0657380i −0.00419715 0.00641537i
\(106\) −12.2616 −1.19095
\(107\) 10.6451i 1.02910i 0.857461 + 0.514548i \(0.172040\pi\)
−0.857461 + 0.514548i \(0.827960\pi\)
\(108\) −4.80811 + 1.97031i −0.462660 + 0.189593i
\(109\) −1.79769 1.03789i −0.172187 0.0994123i 0.411430 0.911442i \(-0.365030\pi\)
−0.583617 + 0.812029i \(0.698363\pi\)
\(110\) 3.66357 8.13901i 0.349308 0.776025i
\(111\) −4.34389 + 2.25433i −0.412304 + 0.213971i
\(112\) 0.0175658 + 0.0101416i 0.00165982 + 0.000958295i
\(113\) 6.98424i 0.657022i 0.944500 + 0.328511i \(0.106547\pi\)
−0.944500 + 0.328511i \(0.893453\pi\)
\(114\) 3.35390 + 6.76398i 0.314121 + 0.633504i
\(115\) −1.58783 2.20431i −0.148066 0.205553i
\(116\) −3.04800 + 5.27930i −0.283000 + 0.490171i
\(117\) −4.10229 0.369331i −0.379257 0.0341446i
\(118\) 8.78455 5.07177i 0.808684 0.466894i
\(119\) 0.0534792 + 0.0308762i 0.00490243 + 0.00283042i
\(120\) −2.12037 3.24099i −0.193562 0.295861i
\(121\) −4.93307 −0.448461
\(122\) 2.68790i 0.243351i
\(123\) 0.0904141 2.01258i 0.00815236 0.181469i
\(124\) −3.82756 + 2.20984i −0.343725 + 0.198450i
\(125\) −10.6746 + 3.32454i −0.954767 + 0.297356i
\(126\) 0.0255771 + 0.0552134i 0.00227859 + 0.00491880i
\(127\) −0.312266 0.540860i −0.0277091 0.0479936i 0.851838 0.523805i \(-0.175488\pi\)
−0.879547 + 0.475811i \(0.842155\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) 6.46137 + 0.290273i 0.568892 + 0.0255571i
\(130\) −0.308449 3.05450i −0.0270528 0.267897i
\(131\) −15.9145 9.18823i −1.39046 0.802780i −0.397090 0.917780i \(-0.629980\pi\)
−0.993365 + 0.115000i \(0.963313\pi\)
\(132\) −3.72208 + 5.82626i −0.323965 + 0.507111i
\(133\) 0.0773674 0.0427913i 0.00670861 0.00371048i
\(134\) 2.95852i 0.255578i
\(135\) 0.395452 11.6122i 0.0340351 0.999421i
\(136\) 2.63661 + 1.52225i 0.226088 + 0.130532i
\(137\) −7.10557 12.3072i −0.607070 1.05148i −0.991721 0.128414i \(-0.959011\pi\)
0.384651 0.923062i \(-0.374322\pi\)
\(138\) 0.969307 + 1.86777i 0.0825129 + 0.158995i
\(139\) −7.37218 12.7690i −0.625300 1.08305i −0.988483 0.151334i \(-0.951643\pi\)
0.363183 0.931718i \(-0.381690\pi\)
\(140\) −0.0368012 + 0.0265090i −0.00311027 + 0.00224042i
\(141\) −10.2580 6.55328i −0.863882 0.551886i
\(142\) 1.71618 0.990840i 0.144019 0.0831494i
\(143\) −4.74612 + 2.74017i −0.396890 + 0.229145i
\(144\) 1.26099 + 2.72211i 0.105083 + 0.226843i
\(145\) −7.96710 11.0604i −0.661632 0.918514i
\(146\) −3.63971 6.30417i −0.301225 0.521737i
\(147\) −10.7609 + 5.58451i −0.887540 + 0.460603i
\(148\) 1.41278 + 2.44701i 0.116130 + 0.201143i
\(149\) 10.2737 + 5.93151i 0.841652 + 0.485928i 0.857825 0.513941i \(-0.171815\pi\)
−0.0161736 + 0.999869i \(0.505148\pi\)
\(150\) 8.55457 1.34884i 0.698478 0.110132i
\(151\) 16.2219i 1.32012i 0.751212 + 0.660062i \(0.229470\pi\)
−0.751212 + 0.660062i \(0.770530\pi\)
\(152\) 3.81435 2.10968i 0.309384 0.171118i
\(153\) 3.83910 + 8.28747i 0.310372 + 0.670002i
\(154\) 0.0701162 + 0.0404816i 0.00565013 + 0.00326210i
\(155\) −0.992927 9.83272i −0.0797539 0.789783i
\(156\) −0.106724 + 2.37564i −0.00854477 + 0.190204i
\(157\) −11.2338 6.48585i −0.896557 0.517627i −0.0204752 0.999790i \(-0.506518\pi\)
−0.876081 + 0.482163i \(0.839851\pi\)
\(158\) −4.85888 8.41583i −0.386552 0.669527i
\(159\) −11.4336 + 17.8973i −0.906741 + 1.41935i
\(160\) −1.81436 + 1.30694i −0.143438 + 0.103323i
\(161\) 0.0213411 0.0123213i 0.00168192 0.000971056i
\(162\) −1.60752 + 8.85527i −0.126298 + 0.695736i
\(163\) 16.7682i 1.31338i 0.754159 + 0.656692i \(0.228045\pi\)
−0.754159 + 0.656692i \(0.771955\pi\)
\(164\) −1.16314 −0.0908258
\(165\) −8.46371 12.9368i −0.658899 1.00713i
\(166\) 6.13583 + 3.54252i 0.476232 + 0.274953i
\(167\) 19.7487 11.4019i 1.52820 0.882305i 0.528759 0.848772i \(-0.322658\pi\)
0.999438 0.0335328i \(-0.0106758\pi\)
\(168\) 0.0311826 0.0161827i 0.00240579 0.00124852i
\(169\) 5.55749 9.62585i 0.427499 0.740450i
\(170\) −5.52383 + 3.97897i −0.423658 + 0.305173i
\(171\) 13.0003 + 1.41179i 0.994155 + 0.107962i
\(172\) 3.73424i 0.284733i
\(173\) 7.23298 + 4.17596i 0.549913 + 0.317493i 0.749087 0.662472i \(-0.230492\pi\)
−0.199174 + 0.979964i \(0.563826\pi\)
\(174\) 4.86360 + 9.37173i 0.368709 + 0.710469i
\(175\) −0.0202757 0.0993689i −0.00153270 0.00751158i
\(176\) 3.45685 + 1.99581i 0.260570 + 0.150440i
\(177\) 0.788486 17.5514i 0.0592662 1.31924i
\(178\) 12.8042i 0.959718i
\(179\) 4.36389 0.326173 0.163086 0.986612i \(-0.447855\pi\)
0.163086 + 0.986612i \(0.447855\pi\)
\(180\) −6.70781 + 0.0727995i −0.499971 + 0.00542615i
\(181\) −21.4785 + 12.4006i −1.59649 + 0.921732i −0.604329 + 0.796735i \(0.706559\pi\)
−0.992157 + 0.124996i \(0.960108\pi\)
\(182\) 0.0278481 0.00206424
\(183\) 3.92331 + 2.50639i 0.290020 + 0.185277i
\(184\) 1.05215 0.607462i 0.0775659 0.0447827i
\(185\) −6.28617 + 0.634790i −0.462169 + 0.0466707i
\(186\) −0.343555 + 7.64741i −0.0251907 + 0.560735i
\(187\) 10.5244 + 6.07625i 0.769618 + 0.444339i
\(188\) −3.51393 + 6.08631i −0.256280 + 0.443890i
\(189\) 0.104441 + 0.0141520i 0.00759693 + 0.00102941i
\(190\) 0.800829 + 9.71384i 0.0580983 + 0.704716i
\(191\) 10.0034i 0.723819i −0.932213 0.361909i \(-0.882125\pi\)
0.932213 0.361909i \(-0.117875\pi\)
\(192\) 1.53736 0.797834i 0.110949 0.0575787i
\(193\) −0.319263 + 0.552980i −0.0229811 + 0.0398044i −0.877287 0.479966i \(-0.840649\pi\)
0.854306 + 0.519770i \(0.173982\pi\)
\(194\) −10.0727 + 5.81546i −0.723176 + 0.417526i
\(195\) −4.74603 2.39801i −0.339871 0.171725i
\(196\) 3.49979 + 6.06182i 0.249985 + 0.432987i
\(197\) 10.1393 0.722398 0.361199 0.932489i \(-0.382367\pi\)
0.361199 + 0.932489i \(0.382367\pi\)
\(198\) 5.03341 + 10.8657i 0.357709 + 0.772188i
\(199\) 4.66809 + 8.08537i 0.330912 + 0.573157i 0.982691 0.185252i \(-0.0593102\pi\)
−0.651779 + 0.758409i \(0.725977\pi\)
\(200\) −0.999626 4.89906i −0.0706843 0.346416i
\(201\) 4.31833 + 2.75874i 0.304591 + 0.194586i
\(202\) −9.22187 −0.648848
\(203\) 0.107081 0.0618235i 0.00751565 0.00433916i
\(204\) 4.68048 2.42901i 0.327699 0.170064i
\(205\) 1.06755 2.37167i 0.0745607 0.165644i
\(206\) −9.63485 5.56268i −0.671292 0.387570i
\(207\) 3.63009 + 0.326818i 0.252309 + 0.0227154i
\(208\) 1.37296 0.0951977
\(209\) 15.2254 8.42107i 1.05317 0.582497i
\(210\) 0.00437701 + 0.0784348i 0.000302043 + 0.00541251i
\(211\) −22.4081 12.9373i −1.54264 0.890641i −0.998671 0.0515325i \(-0.983589\pi\)
−0.543964 0.839108i \(-0.683077\pi\)
\(212\) 10.6188 + 6.13079i 0.729305 + 0.421064i
\(213\) 0.154042 3.42891i 0.0105548 0.234945i
\(214\) 5.32253 9.21889i 0.363840 0.630190i
\(215\) 7.61419 + 3.42734i 0.519284 + 0.233743i
\(216\) 5.14910 + 0.697717i 0.350352 + 0.0474736i
\(217\) 0.0896458 0.00608555
\(218\) 1.03789 + 1.79769i 0.0702951 + 0.121755i
\(219\) −12.5956 0.565851i −0.851134 0.0382367i
\(220\) −7.24226 + 5.21681i −0.488273 + 0.351717i
\(221\) 4.17998 0.281176
\(222\) 4.88908 + 0.219639i 0.328134 + 0.0147412i
\(223\) −10.0501 + 17.4073i −0.673005 + 1.16568i 0.304042 + 0.952658i \(0.401664\pi\)
−0.977048 + 0.213021i \(0.931670\pi\)
\(224\) −0.0101416 0.0175658i −0.000677617 0.00117367i
\(225\) 6.00809 13.7442i 0.400539 0.916280i
\(226\) 3.49212 6.04853i 0.232292 0.402342i
\(227\) 25.1897i 1.67190i 0.548804 + 0.835951i \(0.315083\pi\)
−0.548804 + 0.835951i \(0.684917\pi\)
\(228\) 0.477427 7.53472i 0.0316183 0.498999i
\(229\) 27.5462 1.82030 0.910152 0.414273i \(-0.135964\pi\)
0.910152 + 0.414273i \(0.135964\pi\)
\(230\) 0.272945 + 2.70291i 0.0179974 + 0.178224i
\(231\) 0.124469 0.0645952i 0.00818947 0.00425005i
\(232\) 5.27930 3.04800i 0.346603 0.200111i
\(233\) −0.739496 + 1.28084i −0.0484460 + 0.0839109i −0.889232 0.457457i \(-0.848760\pi\)
0.840786 + 0.541368i \(0.182094\pi\)
\(234\) 3.36802 + 2.37099i 0.220174 + 0.154997i
\(235\) −9.18498 12.7511i −0.599162 0.831790i
\(236\) −10.1435 −0.660288
\(237\) −16.8147 0.755389i −1.09223 0.0490678i
\(238\) −0.0308762 0.0534792i −0.00200141 0.00346654i
\(239\) 9.00066i 0.582204i 0.956692 + 0.291102i \(0.0940219\pi\)
−0.956692 + 0.291102i \(0.905978\pi\)
\(240\) 0.215794 + 3.86697i 0.0139295 + 0.249612i
\(241\) 18.8017 10.8552i 1.21113 0.699244i 0.248121 0.968729i \(-0.420187\pi\)
0.963004 + 0.269486i \(0.0868536\pi\)
\(242\) 4.27216 + 2.46653i 0.274625 + 0.158555i
\(243\) 11.4264 + 10.6037i 0.733003 + 0.680225i
\(244\) 1.34395 2.32779i 0.0860375 0.149021i
\(245\) −15.5724 + 1.57253i −0.994882 + 0.100465i
\(246\) −1.08459 + 1.69774i −0.0691511 + 0.108244i
\(247\) 3.08707 5.12693i 0.196426 0.326219i
\(248\) 4.41969 0.280650
\(249\) 10.8922 5.65269i 0.690267 0.358225i
\(250\) 10.9068 + 2.45817i 0.689804 + 0.155468i
\(251\) 8.96668 5.17692i 0.565972 0.326764i −0.189567 0.981868i \(-0.560708\pi\)
0.755539 + 0.655104i \(0.227375\pi\)
\(252\) 0.00545627 0.0606047i 0.000343712 0.00381774i
\(253\) 4.19981 2.42476i 0.264040 0.152443i
\(254\) 0.624532i 0.0391866i
\(255\) 0.656985 + 11.7730i 0.0411420 + 0.737252i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 12.6197 7.28601i 0.787198 0.454489i −0.0517771 0.998659i \(-0.516489\pi\)
0.838975 + 0.544170i \(0.183155\pi\)
\(258\) −5.45057 3.48207i −0.339338 0.216784i
\(259\) 0.0573116i 0.00356117i
\(260\) −1.26012 + 2.79950i −0.0781496 + 0.173618i
\(261\) 18.2144 + 1.63985i 1.12744 + 0.101504i
\(262\) 9.18823 + 15.9145i 0.567651 + 0.983200i
\(263\) 0.693382 1.20097i 0.0427557 0.0740551i −0.843856 0.536570i \(-0.819720\pi\)
0.886611 + 0.462515i \(0.153053\pi\)
\(264\) 6.13654 3.18465i 0.377678 0.196002i
\(265\) −22.2470 + 16.0251i −1.36662 + 0.984416i
\(266\) −0.0883978 0.00162535i −0.00542002 9.96569e-5i
\(267\) −18.6893 11.9396i −1.14377 0.730690i
\(268\) 1.47926 2.56216i 0.0903603 0.156509i
\(269\) 10.6586 18.4612i 0.649866 1.12560i −0.333288 0.942825i \(-0.608158\pi\)
0.983155 0.182776i \(-0.0585084\pi\)
\(270\) −6.14858 + 9.85875i −0.374191 + 0.599984i
\(271\) 3.47859 6.02509i 0.211309 0.365998i −0.740815 0.671709i \(-0.765561\pi\)
0.952124 + 0.305711i \(0.0988940\pi\)
\(272\) −1.52225 2.63661i −0.0922999 0.159868i
\(273\) 0.0259676 0.0406478i 0.00157163 0.00246011i
\(274\) 14.2111i 0.858527i
\(275\) −3.99013 19.5552i −0.240614 1.17922i
\(276\) 0.0944395 2.10219i 0.00568459 0.126537i
\(277\) 18.8422i 1.13212i −0.824364 0.566060i \(-0.808467\pi\)
0.824364 0.566060i \(-0.191533\pi\)
\(278\) 14.7444i 0.884308i
\(279\) 10.8420 + 7.63245i 0.649092 + 0.456943i
\(280\) 0.0451253 0.00455684i 0.00269675 0.000272323i
\(281\) 13.6863 + 23.7053i 0.816454 + 1.41414i 0.908279 + 0.418365i \(0.137397\pi\)
−0.0918244 + 0.995775i \(0.529270\pi\)
\(282\) 5.60707 + 10.8043i 0.333896 + 0.643388i
\(283\) 10.7276 + 6.19357i 0.637689 + 0.368170i 0.783724 0.621110i \(-0.213318\pi\)
−0.146035 + 0.989279i \(0.546651\pi\)
\(284\) −1.98168 −0.117591
\(285\) 14.9253 + 7.88897i 0.884098 + 0.467302i
\(286\) 5.48034 0.324060
\(287\) 0.0204315 + 0.0117961i 0.00120603 + 0.000696303i
\(288\) 0.269003 2.98792i 0.0158512 0.176065i
\(289\) 3.86551 + 6.69526i 0.227383 + 0.393839i
\(290\) 1.36953 + 13.5621i 0.0804215 + 0.796395i
\(291\) −0.904105 + 20.1251i −0.0529996 + 1.17975i
\(292\) 7.27943i 0.425996i
\(293\) 14.4593i 0.844722i −0.906428 0.422361i \(-0.861201\pi\)
0.906428 0.422361i \(-0.138799\pi\)
\(294\) 12.1114 + 0.544098i 0.706353 + 0.0317324i
\(295\) 9.30989 20.6829i 0.542043 1.20420i
\(296\) 2.82556i 0.164232i
\(297\) 20.5533 + 2.78502i 1.19262 + 0.161603i
\(298\) −5.93151 10.2737i −0.343603 0.595138i
\(299\) 0.834021 1.44457i 0.0482327 0.0835415i
\(300\) −8.08289 3.10915i −0.466666 0.179507i
\(301\) −0.0378713 + 0.0655950i −0.00218286 + 0.00378083i
\(302\) 8.11097 14.0486i 0.466734 0.808407i
\(303\) −8.59913 + 13.4604i −0.494007 + 0.773282i
\(304\) −4.35816 0.0801327i −0.249958 0.00459593i
\(305\) 3.51291 + 4.87682i 0.201149 + 0.279246i
\(306\) 0.818980 9.09671i 0.0468180 0.520024i
\(307\) −14.2128 + 24.6172i −0.811165 + 1.40498i 0.100884 + 0.994898i \(0.467833\pi\)
−0.912049 + 0.410081i \(0.865500\pi\)
\(308\) −0.0404816 0.0701162i −0.00230665 0.00399524i
\(309\) −17.1036 + 8.87619i −0.972992 + 0.504949i
\(310\) −4.05646 + 9.01185i −0.230391 + 0.511838i
\(311\) 7.97931i 0.452465i −0.974073 0.226233i \(-0.927359\pi\)
0.974073 0.226233i \(-0.0726409\pi\)
\(312\) 1.28025 2.00400i 0.0724797 0.113454i
\(313\) −29.0368 + 16.7644i −1.64126 + 0.947579i −0.660867 + 0.750503i \(0.729811\pi\)
−0.980388 + 0.197076i \(0.936855\pi\)
\(314\) 6.48585 + 11.2338i 0.366018 + 0.633961i
\(315\) 0.118567 + 0.0667494i 0.00668047 + 0.00376090i
\(316\) 9.71776i 0.546667i
\(317\) 7.43608 4.29323i 0.417652 0.241132i −0.276420 0.961037i \(-0.589148\pi\)
0.694072 + 0.719905i \(0.255815\pi\)
\(318\) 18.8504 9.78271i 1.05708 0.548587i
\(319\) 21.0730 12.1665i 1.17986 0.681193i
\(320\) 2.22475 0.224660i 0.124367 0.0125589i
\(321\) −8.49299 16.3652i −0.474032 0.913418i
\(322\) −0.0246426 −0.00137328
\(323\) −13.2684 0.243964i −0.738275 0.0135745i
\(324\) 5.81979 6.86513i 0.323322 0.381396i
\(325\) −4.55168 5.13885i −0.252482 0.285052i
\(326\) 8.38408 14.5216i 0.464351 0.804280i
\(327\) 3.59175 + 0.161357i 0.198624 + 0.00892307i
\(328\) 1.00731 + 0.581569i 0.0556192 + 0.0321118i
\(329\) 0.123450 0.0712741i 0.00680604 0.00392947i
\(330\) 0.861369 + 15.4355i 0.0474168 + 0.849695i
\(331\) 19.6633i 1.08080i −0.841410 0.540398i \(-0.818274\pi\)
0.841410 0.540398i \(-0.181726\pi\)
\(332\) −3.54252 6.13583i −0.194421 0.336747i
\(333\) 4.87952 6.93141i 0.267396 0.379839i
\(334\) −22.8038 −1.24777
\(335\) 3.86661 + 5.36784i 0.211255 + 0.293276i
\(336\) −0.0350963 0.00157668i −0.00191466 8.60148e-5i
\(337\) −6.02018 + 10.4273i −0.327940 + 0.568009i −0.982103 0.188345i \(-0.939688\pi\)
0.654163 + 0.756354i \(0.273021\pi\)
\(338\) −9.62585 + 5.55749i −0.523577 + 0.302288i
\(339\) −5.57227 10.7373i −0.302644 0.583168i
\(340\) 6.77326 0.683977i 0.367332 0.0370939i
\(341\) 17.6417 0.955354
\(342\) −10.5527 7.72278i −0.570623 0.417600i
\(343\) 0.283958i 0.0153323i
\(344\) −1.86712 + 3.23394i −0.100668 + 0.174363i
\(345\) 4.19973 + 2.12199i 0.226106 + 0.114244i
\(346\) −4.17596 7.23298i −0.224501 0.388847i
\(347\) 1.45338 2.51733i 0.0780216 0.135137i −0.824375 0.566044i \(-0.808473\pi\)
0.902396 + 0.430907i \(0.141806\pi\)
\(348\) 0.473860 10.5480i 0.0254016 0.565430i
\(349\) −21.2903 −1.13965 −0.569823 0.821767i \(-0.692988\pi\)
−0.569823 + 0.821767i \(0.692988\pi\)
\(350\) −0.0321252 + 0.0961939i −0.00171716 + 0.00514178i
\(351\) 6.60134 2.70515i 0.352354 0.144390i
\(352\) −1.99581 3.45685i −0.106377 0.184251i
\(353\) −22.5734 −1.20146 −0.600730 0.799452i \(-0.705123\pi\)
−0.600730 + 0.799452i \(0.705123\pi\)
\(354\) −9.45855 + 14.8057i −0.502716 + 0.786915i
\(355\) 1.81882 4.04069i 0.0965327 0.214458i
\(356\) −6.40211 + 11.0888i −0.339311 + 0.587705i
\(357\) −0.106851 0.00480019i −0.00565513 0.000254053i
\(358\) −3.77924 2.18195i −0.199739 0.115319i
\(359\) −7.32484 4.22900i −0.386590 0.223198i 0.294091 0.955777i \(-0.404983\pi\)
−0.680682 + 0.732579i \(0.738316\pi\)
\(360\) 5.84553 + 3.29086i 0.308087 + 0.173443i
\(361\) −10.0985 + 16.0941i −0.531498 + 0.847059i
\(362\) 24.8013 1.30353
\(363\) 7.58388 3.93577i 0.398050 0.206574i
\(364\) −0.0241172 0.0139241i −0.00126408 0.000729820i
\(365\) −14.8429 6.68117i −0.776914 0.349709i
\(366\) −2.14450 4.13225i −0.112095 0.215996i
\(367\) −29.4740 + 17.0168i −1.53853 + 0.888272i −0.539606 + 0.841917i \(0.681427\pi\)
−0.998925 + 0.0463542i \(0.985240\pi\)
\(368\) −1.21492 −0.0633323
\(369\) 1.46671 + 3.16619i 0.0763539 + 0.164825i
\(370\) 5.76138 + 2.59334i 0.299520 + 0.134821i
\(371\) −0.124353 0.215385i −0.00645606 0.0111822i
\(372\) 4.12123 6.45108i 0.213676 0.334473i
\(373\) −24.4276 −1.26481 −0.632407 0.774636i \(-0.717933\pi\)
−0.632407 + 0.774636i \(0.717933\pi\)
\(374\) −6.07625 10.5244i −0.314195 0.544202i
\(375\) 13.7582 13.6276i 0.710472 0.703725i
\(376\) 6.08631 3.51393i 0.313877 0.181217i
\(377\) 4.18479 7.24827i 0.215528 0.373305i
\(378\) −0.0833722 0.0644763i −0.00428820 0.00331630i
\(379\) 20.7105i 1.06383i 0.846799 + 0.531913i \(0.178527\pi\)
−0.846799 + 0.531913i \(0.821473\pi\)
\(380\) 4.16338 8.81285i 0.213577 0.452089i
\(381\) 0.911580 + 0.582358i 0.0467017 + 0.0298351i
\(382\) −5.00169 + 8.66318i −0.255909 + 0.443247i
\(383\) 25.8063 + 14.8993i 1.31864 + 0.761317i 0.983510 0.180855i \(-0.0578864\pi\)
0.335130 + 0.942172i \(0.391220\pi\)
\(384\) −1.73031 0.0777329i −0.0882993 0.00396679i
\(385\) 0.180123 0.0181892i 0.00917993 0.000927008i
\(386\) 0.552980 0.319263i 0.0281459 0.0162501i
\(387\) −10.1650 + 4.70885i −0.516716 + 0.239364i
\(388\) 11.6309 0.590471
\(389\) −17.9377 + 10.3563i −0.909479 + 0.525088i −0.880263 0.474485i \(-0.842634\pi\)
−0.0292152 + 0.999573i \(0.509301\pi\)
\(390\) 2.91118 + 4.44976i 0.147413 + 0.225322i
\(391\) −3.69883 −0.187058
\(392\) 6.99959i 0.353533i
\(393\) 31.7969 + 1.42846i 1.60394 + 0.0720560i
\(394\) −8.78093 5.06967i −0.442377 0.255406i
\(395\) −19.8147 8.91911i −0.996988 0.448769i
\(396\) 1.07376 11.9266i 0.0539585 0.599336i
\(397\) 23.8116 + 13.7476i 1.19507 + 0.689974i 0.959452 0.281871i \(-0.0909551\pi\)
0.235618 + 0.971846i \(0.424288\pi\)
\(398\) 9.33619i 0.467981i
\(399\) −0.0848008 + 0.127512i −0.00424535 + 0.00638358i
\(400\) −1.58383 + 4.74252i −0.0791913 + 0.237126i
\(401\) −15.0652 + 26.0937i −0.752322 + 1.30306i 0.194373 + 0.980928i \(0.437733\pi\)
−0.946695 + 0.322132i \(0.895601\pi\)
\(402\) −2.36041 4.54830i −0.117727 0.226849i
\(403\) 5.25509 3.03403i 0.261775 0.151136i
\(404\) 7.98637 + 4.61093i 0.397337 + 0.229403i
\(405\) 8.65668 + 18.1676i 0.430154 + 0.902756i
\(406\) −0.123647 −0.00613650
\(407\) 11.2786i 0.559058i
\(408\) −5.26791 0.236658i −0.260801 0.0117163i
\(409\) −13.8808 + 8.01408i −0.686361 + 0.396271i −0.802247 0.596992i \(-0.796362\pi\)
0.115886 + 0.993262i \(0.463029\pi\)
\(410\) −2.11036 + 1.52015i −0.104223 + 0.0750748i
\(411\) 20.7429 + 13.2515i 1.02317 + 0.653648i
\(412\) 5.56268 + 9.63485i 0.274054 + 0.474675i
\(413\) 0.178180 + 0.102872i 0.00876764 + 0.00506200i
\(414\) −2.98034 2.09808i −0.146476 0.103115i
\(415\) 15.7625 1.59173i 0.773749 0.0781347i
\(416\) −1.18902 0.686480i −0.0582964 0.0336575i
\(417\) 21.5212 + 13.7487i 1.05390 + 0.673277i
\(418\) −17.3961 0.319860i −0.850873 0.0156449i
\(419\) 20.4668i 0.999870i −0.866063 0.499935i \(-0.833357\pi\)
0.866063 0.499935i \(-0.166643\pi\)
\(420\) 0.0354268 0.0701150i 0.00172865 0.00342126i
\(421\) −3.75989 2.17078i −0.183246 0.105797i 0.405571 0.914064i \(-0.367073\pi\)
−0.588817 + 0.808266i \(0.700406\pi\)
\(422\) 12.9373 + 22.4081i 0.629778 + 1.09081i
\(423\) 20.9987 + 1.89052i 1.02099 + 0.0919201i
\(424\) −6.13079 10.6188i −0.297738 0.515697i
\(425\) −4.82196 + 14.4386i −0.233899 + 0.700375i
\(426\) −1.84786 + 2.89250i −0.0895291 + 0.140142i
\(427\) −0.0472152 + 0.0272597i −0.00228490 + 0.00131919i
\(428\) −9.21889 + 5.32253i −0.445612 + 0.257274i
\(429\) 5.11026 7.99923i 0.246726 0.386207i
\(430\) −4.88041 6.77526i −0.235354 0.326732i
\(431\) 7.60406 + 13.1706i 0.366275 + 0.634407i 0.988980 0.148050i \(-0.0472997\pi\)
−0.622705 + 0.782457i \(0.713966\pi\)
\(432\) −4.11039 3.17879i −0.197761 0.152940i
\(433\) −0.703299 1.21815i −0.0337984 0.0585405i 0.848631 0.528985i \(-0.177427\pi\)
−0.882430 + 0.470444i \(0.844094\pi\)
\(434\) −0.0776355 0.0448229i −0.00372662 0.00215157i
\(435\) 21.0726 + 10.6473i 1.01035 + 0.510498i
\(436\) 2.07579i 0.0994123i
\(437\) −2.73173 + 4.53678i −0.130676 + 0.217024i
\(438\) 10.6252 + 6.78786i 0.507693 + 0.324337i
\(439\) −17.5197 10.1150i −0.836171 0.482763i 0.0197901 0.999804i \(-0.493700\pi\)
−0.855961 + 0.517041i \(0.827034\pi\)
\(440\) 8.88038 0.896759i 0.423356 0.0427513i
\(441\) 12.0877 17.1708i 0.575607 0.817655i
\(442\) −3.61997 2.08999i −0.172184 0.0994106i
\(443\) 0.106768 + 0.184928i 0.00507271 + 0.00878619i 0.868551 0.495600i \(-0.165052\pi\)
−0.863478 + 0.504387i \(0.831719\pi\)
\(444\) −4.12425 2.63475i −0.195728 0.125040i
\(445\) −16.7343 23.2315i −0.793283 1.10128i
\(446\) 17.4073 10.0501i 0.824260 0.475887i
\(447\) −20.5266 0.922146i −0.970876 0.0436160i
\(448\) 0.0202833i 0.000958295i
\(449\) −15.8165 −0.746426 −0.373213 0.927746i \(-0.621744\pi\)
−0.373213 + 0.927746i \(0.621744\pi\)
\(450\) −12.0753 + 8.89878i −0.569233 + 0.419492i
\(451\) 4.02079 + 2.32141i 0.189332 + 0.109311i
\(452\) −6.04853 + 3.49212i −0.284499 + 0.164256i
\(453\) −12.9424 24.9389i −0.608088 1.17173i
\(454\) 12.5949 21.8150i 0.591106 1.02383i
\(455\) 0.0505266 0.0363958i 0.00236873 0.00170626i
\(456\) −4.18083 + 6.28655i −0.195785 + 0.294395i
\(457\) 15.6759i 0.733287i 0.930362 + 0.366643i \(0.119493\pi\)
−0.930362 + 0.366643i \(0.880507\pi\)
\(458\) −23.8557 13.7731i −1.11470 0.643575i
\(459\) −12.5141 9.67782i −0.584107 0.451722i
\(460\) 1.11508 2.47726i 0.0519907 0.115503i
\(461\) 20.1979 + 11.6613i 0.940710 + 0.543119i 0.890183 0.455604i \(-0.150577\pi\)
0.0505272 + 0.998723i \(0.483910\pi\)
\(462\) −0.140091 0.00629350i −0.00651763 0.000292800i
\(463\) 39.2341i 1.82336i −0.410899 0.911681i \(-0.634785\pi\)
0.410899 0.911681i \(-0.365215\pi\)
\(464\) −6.09601 −0.283000
\(465\) 9.37136 + 14.3242i 0.434586 + 0.664268i
\(466\) 1.28084 0.739496i 0.0593340 0.0342565i
\(467\) 24.4549 1.13164 0.565819 0.824530i \(-0.308560\pi\)
0.565819 + 0.824530i \(0.308560\pi\)
\(468\) −1.73130 3.73735i −0.0800291 0.172759i
\(469\) −0.0519689 + 0.0300043i −0.00239970 + 0.00138547i
\(470\) 1.57888 + 15.6353i 0.0728283 + 0.721201i
\(471\) 22.4450 + 1.00833i 1.03421 + 0.0464613i
\(472\) 8.78455 + 5.07177i 0.404342 + 0.233447i
\(473\) −7.45283 + 12.9087i −0.342682 + 0.593542i
\(474\) 14.1843 + 9.06154i 0.651505 + 0.416210i
\(475\) 14.1484 + 16.5778i 0.649172 + 0.760641i
\(476\) 0.0617524i 0.00283042i
\(477\) 3.29840 36.6366i 0.151024 1.67747i
\(478\) 4.50033 7.79480i 0.205840 0.356526i
\(479\) −27.8923 + 16.1036i −1.27443 + 0.735794i −0.975819 0.218580i \(-0.929858\pi\)
−0.298614 + 0.954374i \(0.596524\pi\)
\(480\) 1.74660 3.45679i 0.0797210 0.157780i
\(481\) −1.93969 3.35964i −0.0884423 0.153187i
\(482\) −21.7104 −0.988880
\(483\) −0.0229785 + 0.0359689i −0.00104556 + 0.00163664i
\(484\) −2.46653 4.27216i −0.112115 0.194189i
\(485\) −10.6750 + 23.7157i −0.484729 + 1.07688i
\(486\) −4.59372 14.8962i −0.208375 0.675707i
\(487\) 22.5359 1.02120 0.510599 0.859819i \(-0.329424\pi\)
0.510599 + 0.859819i \(0.329424\pi\)
\(488\) −2.32779 + 1.34395i −0.105374 + 0.0608377i
\(489\) −13.3782 25.7786i −0.604983 1.16575i
\(490\) 14.2723 + 6.42433i 0.644758 + 0.290222i
\(491\) −25.9068 14.9573i −1.16916 0.675013i −0.215675 0.976465i \(-0.569195\pi\)
−0.953481 + 0.301452i \(0.902529\pi\)
\(492\) 1.78816 0.927992i 0.0806163 0.0418371i
\(493\) −18.5593 −0.835869
\(494\) −5.23695 + 2.89651i −0.235621 + 0.130320i
\(495\) 23.3332 + 13.1359i 1.04875 + 0.590414i
\(496\) −3.82756 2.20984i −0.171863 0.0992249i
\(497\) 0.0348098 + 0.0200975i 0.00156144 + 0.000901495i
\(498\) −12.2593 0.550740i −0.549352 0.0246793i
\(499\) −5.42341 + 9.39363i −0.242785 + 0.420516i −0.961507 0.274782i \(-0.911394\pi\)
0.718721 + 0.695298i \(0.244728\pi\)
\(500\) −8.21645 7.58222i −0.367451 0.339087i
\(501\) −21.2639 + 33.2849i −0.950000 + 1.48706i
\(502\) −10.3538 −0.462114
\(503\) 1.20059 + 2.07949i 0.0535318 + 0.0927199i 0.891550 0.452923i \(-0.149619\pi\)
−0.838018 + 0.545643i \(0.816285\pi\)
\(504\) −0.0350276 + 0.0497571i −0.00156025 + 0.00221636i
\(505\) −16.7318 + 12.0524i −0.744556 + 0.536325i
\(506\) −4.84952 −0.215587
\(507\) −0.863999 + 19.2323i −0.0383715 + 0.854137i
\(508\) 0.312266 0.540860i 0.0138546 0.0239968i
\(509\) −17.6336 30.5422i −0.781594 1.35376i −0.931013 0.364987i \(-0.881073\pi\)
0.149418 0.988774i \(-0.452260\pi\)
\(510\) 5.31752 10.5242i 0.235464 0.466019i
\(511\) 0.0738254 0.127869i 0.00326584 0.00565660i
\(512\) 1.00000i 0.0441942i
\(513\) −21.1124 + 8.20163i −0.932135 + 0.362111i
\(514\) −14.5720 −0.642745
\(515\) −24.7512 + 2.49942i −1.09067 + 0.110138i
\(516\) 2.97930 + 5.74085i 0.131156 + 0.252727i
\(517\) 24.2943 14.0263i 1.06846 0.616876i
\(518\) −0.0286558 + 0.0496333i −0.00125906 + 0.00218076i
\(519\) −14.4514 0.649219i −0.634345 0.0284975i
\(520\) 2.49105 1.79437i 0.109240 0.0786885i
\(521\) −21.0405 −0.921799 −0.460900 0.887452i \(-0.652473\pi\)
−0.460900 + 0.887452i \(0.652473\pi\)
\(522\) −14.9542 10.5273i −0.654526 0.460769i
\(523\) 12.7922 + 22.1567i 0.559362 + 0.968844i 0.997550 + 0.0699605i \(0.0222873\pi\)
−0.438187 + 0.898884i \(0.644379\pi\)
\(524\) 18.3765i 0.802780i
\(525\) 0.110451 + 0.136589i 0.00482047 + 0.00596122i
\(526\) −1.20097 + 0.693382i −0.0523649 + 0.0302329i
\(527\) −11.6530 6.72787i −0.507613 0.293071i
\(528\) −6.90673 0.310280i −0.300577 0.0135032i
\(529\) 10.7620 18.6403i 0.467912 0.810448i
\(530\) 27.2790 2.75469i 1.18492 0.119656i
\(531\) 12.7909 + 27.6118i 0.555079 + 1.19825i
\(532\) 0.0757421 + 0.0456065i 0.00328384 + 0.00197729i
\(533\) 1.59694 0.0691713
\(534\) 10.2157 + 19.6846i 0.442074 + 0.851838i
\(535\) −2.39152 23.6826i −0.103394 1.02389i
\(536\) −2.56216 + 1.47926i −0.110668 + 0.0638944i
\(537\) −6.70885 + 3.48166i −0.289508 + 0.150245i
\(538\) −18.4612 + 10.6586i −0.795920 + 0.459525i
\(539\) 27.9397i 1.20345i
\(540\) 10.2542 5.46364i 0.441271 0.235118i
\(541\) 4.03165 + 6.98303i 0.173334 + 0.300224i 0.939584 0.342320i \(-0.111213\pi\)
−0.766249 + 0.642543i \(0.777879\pi\)
\(542\) −6.02509 + 3.47859i −0.258800 + 0.149418i
\(543\) 23.1265 36.2005i 0.992452 1.55351i
\(544\) 3.04450i 0.130532i
\(545\) 4.23258 + 1.90519i 0.181304 + 0.0816095i
\(546\) −0.0428125 + 0.0222182i −0.00183221 + 0.000950851i
\(547\) −18.8081 32.5766i −0.804176 1.39287i −0.916846 0.399241i \(-0.869274\pi\)
0.112670 0.993633i \(-0.464060\pi\)
\(548\) 7.10557 12.3072i 0.303535 0.525738i
\(549\) −8.03121 0.723053i −0.342764 0.0308591i
\(550\) −6.32204 + 18.9304i −0.269573 + 0.807193i
\(551\) −13.7067 + 22.7638i −0.583927 + 0.969770i
\(552\) −1.13288 + 1.77333i −0.0482186 + 0.0754779i
\(553\) 0.0985540 0.170701i 0.00419094 0.00725893i
\(554\) −9.42111 + 16.3178i −0.400265 + 0.693279i
\(555\) 9.15762 5.99122i 0.388719 0.254313i
\(556\) 7.37218 12.7690i 0.312650 0.541526i
\(557\) 3.23898 + 5.61008i 0.137240 + 0.237707i 0.926451 0.376415i \(-0.122843\pi\)
−0.789211 + 0.614122i \(0.789510\pi\)
\(558\) −5.57320 12.0309i −0.235932 0.509308i
\(559\) 5.12696i 0.216847i
\(560\) −0.0413581 0.0186163i −0.00174770 0.000786682i
\(561\) −21.0275 0.944648i −0.887783 0.0398831i
\(562\) 27.3725i 1.15464i
\(563\) 23.6169i 0.995332i −0.867369 0.497666i \(-0.834191\pi\)
0.867369 0.497666i \(-0.165809\pi\)
\(564\) 0.546296 12.1604i 0.0230032 0.512043i
\(565\) −1.56908 15.5382i −0.0660117 0.653698i
\(566\) −6.19357 10.7276i −0.260335 0.450914i
\(567\) −0.171853 + 0.0615696i −0.00721715 + 0.00258568i
\(568\) 1.71618 + 0.990840i 0.0720095 + 0.0415747i
\(569\) 16.2844 0.682676 0.341338 0.939941i \(-0.389120\pi\)
0.341338 + 0.939941i \(0.389120\pi\)
\(570\) −8.98119 14.2947i −0.376181 0.598739i
\(571\) −4.10720 −0.171881 −0.0859405 0.996300i \(-0.527389\pi\)
−0.0859405 + 0.996300i \(0.527389\pi\)
\(572\) −4.74612 2.74017i −0.198445 0.114572i
\(573\) 7.98103 + 15.3787i 0.333412 + 0.642456i
\(574\) −0.0117961 0.0204315i −0.000492361 0.000852794i
\(575\) 4.02775 + 4.54733i 0.167969 + 0.189637i
\(576\) −1.72692 + 2.45311i −0.0719550 + 0.102213i
\(577\) 25.1996i 1.04907i −0.851388 0.524537i \(-0.824239\pi\)
0.851388 0.524537i \(-0.175761\pi\)
\(578\) 7.73102i 0.321568i
\(579\) 0.0496345 1.10485i 0.00206274 0.0459158i
\(580\) 5.59501 12.4299i 0.232320 0.516124i
\(581\) 0.143708i 0.00596201i
\(582\) 10.8455 16.9768i 0.449561 0.703709i
\(583\) −24.4718 42.3864i −1.01352 1.75547i
\(584\) 3.63971 6.30417i 0.150612 0.260868i
\(585\) 9.20956 0.0999508i 0.380768 0.00413246i
\(586\) −7.22966 + 12.5221i −0.298654 + 0.517285i
\(587\) 0.0827925 0.143401i 0.00341721 0.00591879i −0.864312 0.502956i \(-0.832246\pi\)
0.867729 + 0.497038i \(0.165579\pi\)
\(588\) −10.2168 6.52692i −0.421332 0.269165i
\(589\) −16.8582 + 9.32415i −0.694631 + 0.384195i
\(590\) −18.4040 + 13.2570i −0.757683 + 0.545781i
\(591\) −15.5878 + 8.08952i −0.641195 + 0.332758i
\(592\) −1.41278 + 2.44701i −0.0580649 + 0.100571i
\(593\) 0.789202 + 1.36694i 0.0324086 + 0.0561334i 0.881775 0.471671i \(-0.156349\pi\)
−0.849366 + 0.527804i \(0.823016\pi\)
\(594\) −16.4071 12.6885i −0.673193 0.520617i
\(595\) −0.125915 0.0566773i −0.00516200 0.00232354i
\(596\) 11.8630i 0.485928i
\(597\) −13.6273 8.70573i −0.557728 0.356302i
\(598\) −1.44457 + 0.834021i −0.0590727 + 0.0341057i
\(599\) −9.04236 15.6618i −0.369461 0.639925i 0.620021 0.784586i \(-0.287124\pi\)
−0.989481 + 0.144661i \(0.953791\pi\)
\(600\) 5.44542 + 6.73405i 0.222308 + 0.274917i
\(601\) 11.8894i 0.484978i −0.970154 0.242489i \(-0.922036\pi\)
0.970154 0.242489i \(-0.0779638\pi\)
\(602\) 0.0655950 0.0378713i 0.00267345 0.00154352i
\(603\) −8.83982 0.795852i −0.359985 0.0324096i
\(604\) −14.0486 + 8.11097i −0.571630 + 0.330031i
\(605\) 10.9749 1.10826i 0.446192 0.0450573i
\(606\) 14.1773 7.35752i 0.575913 0.298879i
\(607\) 6.39493 0.259562 0.129781 0.991543i \(-0.458573\pi\)
0.129781 + 0.991543i \(0.458573\pi\)
\(608\) 3.73421 + 2.24848i 0.151442 + 0.0911878i
\(609\) −0.115297 + 0.180478i −0.00467208 + 0.00731334i
\(610\) −0.603863 5.97991i −0.0244497 0.242119i
\(611\) 4.82449 8.35626i 0.195178 0.338058i
\(612\) −5.25761 + 7.46849i −0.212526 + 0.301896i
\(613\) 27.7348 + 16.0127i 1.12020 + 0.646746i 0.941451 0.337150i \(-0.109463\pi\)
0.178745 + 0.983895i \(0.442796\pi\)
\(614\) 24.6172 14.2128i 0.993470 0.573580i
\(615\) 0.250998 + 4.49782i 0.0101212 + 0.181369i
\(616\) 0.0809632i 0.00326210i
\(617\) −1.31439 2.27659i −0.0529153 0.0916520i 0.838354 0.545126i \(-0.183518\pi\)
−0.891270 + 0.453473i \(0.850185\pi\)
\(618\) 19.2503 + 0.864806i 0.774360 + 0.0347876i
\(619\) −19.3010 −0.775773 −0.387886 0.921707i \(-0.626795\pi\)
−0.387886 + 0.921707i \(0.626795\pi\)
\(620\) 8.01892 5.77626i 0.322048 0.231980i
\(621\) −5.84148 + 2.39377i −0.234411 + 0.0960588i
\(622\) −3.98966 + 6.91029i −0.159971 + 0.277077i
\(623\) 0.224917 0.129856i 0.00901111 0.00520257i
\(624\) −2.11073 + 1.09539i −0.0844967 + 0.0438509i
\(625\) 23.0015 9.79445i 0.920060 0.391778i
\(626\) 33.5288 1.34008
\(627\) −16.6883 + 25.0935i −0.666466 + 1.00214i
\(628\) 12.9717i 0.517627i
\(629\) −4.30121 + 7.44991i −0.171500 + 0.297047i
\(630\) −0.0693070 0.117090i −0.00276126 0.00466498i
\(631\) −11.7467 20.3459i −0.467629 0.809956i 0.531687 0.846941i \(-0.321558\pi\)
−0.999316 + 0.0369844i \(0.988225\pi\)
\(632\) 4.85888 8.41583i 0.193276 0.334764i
\(633\) 44.7710 + 2.01131i 1.77949 + 0.0799423i
\(634\) −8.58645 −0.341012
\(635\) 0.816224 + 1.13313i 0.0323909 + 0.0449668i
\(636\) −21.2163 0.953128i −0.841280 0.0377940i
\(637\) −4.80508 8.32264i −0.190384 0.329755i
\(638\) −24.3330 −0.963352
\(639\) 2.49889 + 5.39435i 0.0988544 + 0.213397i
\(640\) −2.03902 0.917815i −0.0805995 0.0362798i
\(641\) −15.9663 + 27.6545i −0.630633 + 1.09229i 0.356790 + 0.934185i \(0.383871\pi\)
−0.987423 + 0.158103i \(0.949462\pi\)
\(642\) −0.827470 + 18.4192i −0.0326577 + 0.726948i
\(643\) 9.38848 + 5.42044i 0.370246 + 0.213761i 0.673566 0.739127i \(-0.264762\pi\)
−0.303320 + 0.952889i \(0.598095\pi\)
\(644\) 0.0213411 + 0.0123213i 0.000840959 + 0.000485528i
\(645\) −14.4402 + 0.805826i −0.568581 + 0.0317294i
\(646\) 11.3688 + 6.84549i 0.447300 + 0.269332i
\(647\) 49.7921 1.95753 0.978765 0.204987i \(-0.0657153\pi\)
0.978765 + 0.204987i \(0.0657153\pi\)
\(648\) −8.47265 + 3.03549i −0.332837 + 0.119245i
\(649\) 35.0646 + 20.2446i 1.37641 + 0.794669i
\(650\) 1.37245 + 6.72621i 0.0538318 + 0.263824i
\(651\) −0.137817 + 0.0715225i −0.00540149 + 0.00280319i
\(652\) −14.5216 + 8.38408i −0.568712 + 0.328346i
\(653\) −18.9775 −0.742648 −0.371324 0.928503i \(-0.621096\pi\)
−0.371324 + 0.928503i \(0.621096\pi\)
\(654\) −3.02987 1.93561i −0.118477 0.0756885i
\(655\) 37.4700 + 16.8662i 1.46408 + 0.659017i
\(656\) −0.581569 1.00731i −0.0227065 0.0393287i
\(657\) 19.8154 9.17932i 0.773073 0.358119i
\(658\) −0.142548 −0.00555710
\(659\) 9.69407 + 16.7906i 0.377627 + 0.654070i 0.990717 0.135944i \(-0.0434067\pi\)
−0.613089 + 0.790014i \(0.710073\pi\)
\(660\) 6.97177 13.7982i 0.271376 0.537094i
\(661\) 14.0634 8.11950i 0.547002 0.315812i −0.200910 0.979610i \(-0.564390\pi\)
0.747912 + 0.663798i \(0.231056\pi\)
\(662\) −9.83167 + 17.0290i −0.382119 + 0.661849i
\(663\) −6.42611 + 3.33493i −0.249569 + 0.129518i
\(664\) 7.08504i 0.274953i
\(665\) −0.162510 + 0.112581i −0.00630187 + 0.00436572i
\(666\) −7.69149 + 3.56301i −0.298039 + 0.138064i
\(667\) −3.70309 + 6.41394i −0.143384 + 0.248349i
\(668\) 19.7487 + 11.4019i 0.764098 + 0.441152i
\(669\) 1.56245 34.7795i 0.0604077 1.34465i
\(670\) −0.664662 6.58199i −0.0256781 0.254284i
\(671\) −9.29165 + 5.36454i −0.358700 + 0.207096i
\(672\) 0.0296059 + 0.0189136i 0.00114207 + 0.000729607i
\(673\) 23.2726 0.897093 0.448546 0.893759i \(-0.351942\pi\)
0.448546 + 0.893759i \(0.351942\pi\)
\(674\) 10.4273 6.02018i 0.401643 0.231889i
\(675\) 1.72902 + 25.9232i 0.0665500 + 0.997783i
\(676\) 11.1150 0.427499
\(677\) 29.3269i 1.12712i 0.826074 + 0.563561i \(0.190569\pi\)
−0.826074 + 0.563561i \(0.809431\pi\)
\(678\) −0.542905 + 12.0849i −0.0208501 + 0.464117i
\(679\) −0.204307 0.117957i −0.00784058 0.00452676i
\(680\) −6.20780 2.79429i −0.238058 0.107156i
\(681\) −20.0972 38.7256i −0.770128 1.48397i
\(682\) −15.2782 8.82087i −0.585032 0.337769i
\(683\) 12.1600i 0.465290i −0.972562 0.232645i \(-0.925262\pi\)
0.972562 0.232645i \(-0.0747380\pi\)
\(684\) 5.27749 + 11.9645i 0.201790 + 0.457472i
\(685\) 18.5731 + 25.7842i 0.709641 + 0.985163i
\(686\) −0.141979 + 0.245914i −0.00542077 + 0.00938906i
\(687\) −42.3483 + 21.9773i −1.61569 + 0.838487i
\(688\) 3.23394 1.86712i 0.123293 0.0711832i
\(689\) −14.5793 8.41733i −0.555425 0.320675i
\(690\) −2.57608 3.93756i −0.0980698 0.149900i
\(691\) 29.3470 1.11641 0.558206 0.829702i \(-0.311490\pi\)
0.558206 + 0.829702i \(0.311490\pi\)
\(692\) 8.35192i 0.317493i
\(693\) −0.139817 + 0.198612i −0.00531121 + 0.00754463i
\(694\) −2.51733 + 1.45338i −0.0955565 + 0.0551696i
\(695\) 19.2700 + 26.7516i 0.730951 + 1.01475i
\(696\) −5.68435 + 8.89787i −0.215465 + 0.337273i
\(697\) −1.77059 3.06675i −0.0670658 0.116161i
\(698\) 18.4380 + 10.6452i 0.697888 + 0.402926i
\(699\) 0.114966 2.55911i 0.00434842 0.0967944i
\(700\) 0.0759182 0.0672437i 0.00286944 0.00254157i
\(701\) −5.24529 3.02837i −0.198112 0.114380i 0.397663 0.917532i \(-0.369821\pi\)
−0.595774 + 0.803152i \(0.703155\pi\)
\(702\) −7.06951 0.957938i −0.266821 0.0361550i
\(703\) 5.96104 + 10.7777i 0.224825 + 0.406487i
\(704\) 3.99162i 0.150440i
\(705\) 24.2938 + 12.2749i 0.914959 + 0.462298i
\(706\) 19.5491 + 11.2867i 0.735741 + 0.424780i
\(707\) −0.0935248 0.161990i −0.00351736 0.00609225i
\(708\) 15.5942 8.09286i 0.586066 0.304148i
\(709\) 8.50340 + 14.7283i 0.319352 + 0.553134i 0.980353 0.197251i \(-0.0632014\pi\)
−0.661001 + 0.750385i \(0.729868\pi\)
\(710\) −3.59549 + 2.58993i −0.134936 + 0.0971984i
\(711\) 26.4528 12.2540i 0.992059 0.459562i
\(712\) 11.0888 6.40211i 0.415570 0.239929i
\(713\) −4.65020 + 2.68479i −0.174151 + 0.100546i
\(714\) 0.0901352 + 0.0575824i 0.00337323 + 0.00215497i
\(715\) 9.94333 7.16247i 0.371860 0.267861i
\(716\) 2.18195 + 3.77924i 0.0815432 + 0.141237i
\(717\) −7.18103 13.8372i −0.268181 0.516760i
\(718\) 4.22900 + 7.32484i 0.157825 + 0.273361i
\(719\) −7.31586 4.22381i −0.272835 0.157522i 0.357340 0.933974i \(-0.383684\pi\)
−0.630176 + 0.776453i \(0.717017\pi\)
\(720\) −3.41695 5.77273i −0.127342 0.215137i
\(721\) 0.225659i 0.00840397i
\(722\) 16.7926 8.88869i 0.624956 0.330803i
\(723\) −20.2443 + 31.6889i −0.752893 + 1.17852i
\(724\) −21.4785 12.4006i −0.798243 0.460866i
\(725\) 20.2097 + 22.8167i 0.750568 + 0.847391i
\(726\) −8.53572 0.383461i −0.316790 0.0142316i
\(727\) −34.9928 20.2031i −1.29781 0.749291i −0.317784 0.948163i \(-0.602939\pi\)
−0.980025 + 0.198872i \(0.936272\pi\)
\(728\) 0.0139241 + 0.0241172i 0.000516060 + 0.000893843i
\(729\) −26.0264 7.18522i −0.963940 0.266119i
\(730\) 9.51376 + 13.2075i 0.352120 + 0.488833i
\(731\) 9.84574 5.68444i 0.364158 0.210247i
\(732\) −0.208938 + 4.65088i −0.00772257 + 0.171902i
\(733\) 11.3658i 0.419804i 0.977722 + 0.209902i \(0.0673145\pi\)
−0.977722 + 0.209902i \(0.932686\pi\)
\(734\) 34.0337 1.25621
\(735\) 22.6856 14.8417i 0.836772 0.547444i
\(736\) 1.05215 + 0.607462i 0.0387829 + 0.0223913i
\(737\) −10.2272 + 5.90466i −0.376723 + 0.217501i
\(738\) 0.312888 3.47536i 0.0115176 0.127930i
\(739\) −12.1985 + 21.1285i −0.448731 + 0.777225i −0.998304 0.0582212i \(-0.981457\pi\)
0.549573 + 0.835446i \(0.314790\pi\)
\(740\) −3.69283 5.12659i −0.135751 0.188457i
\(741\) −0.655488 + 10.3449i −0.0240799 + 0.380029i
\(742\) 0.248705i 0.00913025i
\(743\) 31.2915 + 18.0662i 1.14797 + 0.662783i 0.948393 0.317098i \(-0.102709\pi\)
0.199581 + 0.979881i \(0.436042\pi\)
\(744\) −6.79463 + 3.52618i −0.249103 + 0.129276i
\(745\) −24.1890 10.8881i −0.886215 0.398907i
\(746\) 21.1550 + 12.2138i 0.774538 + 0.447180i
\(747\) −12.2353 + 17.3804i −0.447667 + 0.635915i
\(748\) 12.1525i 0.444339i
\(749\) 0.215917 0.00788942
\(750\) −18.7288 + 4.92271i −0.683878 + 0.179752i
\(751\) 23.3795 13.4981i 0.853129 0.492554i −0.00857626 0.999963i \(-0.502730\pi\)
0.861705 + 0.507409i \(0.169397\pi\)
\(752\) −7.02786 −0.256280
\(753\) −9.65466 + 15.1127i −0.351835 + 0.550737i
\(754\) −7.24827 + 4.18479i −0.263966 + 0.152401i
\(755\) −3.64442 36.0898i −0.132634 1.31344i
\(756\) 0.0399643 + 0.0975242i 0.00145349 + 0.00354692i
\(757\) 43.6440 + 25.1979i 1.58627 + 0.915833i 0.993914 + 0.110155i \(0.0351348\pi\)
0.592355 + 0.805677i \(0.298198\pi\)
\(758\) 10.3552 17.9358i 0.376119 0.651457i
\(759\) −4.52204 + 7.07847i −0.164140 + 0.256932i
\(760\) −8.01202 + 5.55046i −0.290626 + 0.201336i
\(761\) 31.6203i 1.14623i −0.819474 0.573117i \(-0.805734\pi\)
0.819474 0.573117i \(-0.194266\pi\)
\(762\) −0.498273 0.960127i −0.0180505 0.0347817i
\(763\) −0.0210519 + 0.0364630i −0.000762130 + 0.00132005i
\(764\) 8.66318 5.00169i 0.313423 0.180955i
\(765\) −10.4029 17.5751i −0.376118 0.635428i
\(766\) −14.8993 25.8063i −0.538333 0.932419i
\(767\) 13.9267 0.502863
\(768\) 1.45962 + 0.932471i 0.0526696 + 0.0336477i
\(769\) 24.8986 + 43.1256i 0.897866 + 1.55515i 0.830217 + 0.557440i \(0.188216\pi\)
0.0676486 + 0.997709i \(0.478450\pi\)
\(770\) −0.165086 0.0743093i −0.00594928 0.00267792i
\(771\) −13.5880 + 21.2697i −0.489360 + 0.766008i
\(772\) −0.638526 −0.0229811
\(773\) −13.3636 + 7.71548i −0.480656 + 0.277507i −0.720690 0.693258i \(-0.756175\pi\)
0.240034 + 0.970764i \(0.422841\pi\)
\(774\) 11.1576 + 1.00452i 0.401051 + 0.0361068i
\(775\) 4.41804 + 21.6523i 0.158701 +