Properties

Label 273.2.r.b.269.19
Level $273$
Weight $2$
Character 273.269
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.r (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 269.19
Character \(\chi\) \(=\) 273.269
Dual form 273.2.r.b.68.14

$q$-expansion

\(f(q)\) \(=\) \(q+0.771110i q^{2} +(0.714765 - 1.57769i) q^{3} +1.40539 q^{4} +(0.907647 + 1.57209i) q^{5} +(1.21657 + 0.551162i) q^{6} +(0.574285 + 2.58267i) q^{7} +2.62593i q^{8} +(-1.97822 - 2.25536i) q^{9} +O(q^{10})\) \(q+0.771110i q^{2} +(0.714765 - 1.57769i) q^{3} +1.40539 q^{4} +(0.907647 + 1.57209i) q^{5} +(1.21657 + 0.551162i) q^{6} +(0.574285 + 2.58267i) q^{7} +2.62593i q^{8} +(-1.97822 - 2.25536i) q^{9} +(-1.21225 + 0.699896i) q^{10} +(0.504401 - 0.291216i) q^{11} +(1.00452 - 2.21727i) q^{12} +(-3.53127 - 0.728085i) q^{13} +(-1.99153 + 0.442837i) q^{14} +(3.12903 - 0.308312i) q^{15} +0.785896 q^{16} +0.958191 q^{17} +(1.73913 - 1.52543i) q^{18} +(-1.66703 - 0.962462i) q^{19} +(1.27560 + 2.20940i) q^{20} +(4.48514 + 0.939958i) q^{21} +(0.224560 + 0.388949i) q^{22} -8.73145i q^{23} +(4.14291 + 1.87692i) q^{24} +(0.852355 - 1.47632i) q^{25} +(0.561434 - 2.72300i) q^{26} +(-4.97222 + 1.50898i) q^{27} +(0.807094 + 3.62966i) q^{28} +(4.26919 + 2.46482i) q^{29} +(0.237743 + 2.41283i) q^{30} +(-2.83579 - 1.63724i) q^{31} +5.85787i q^{32} +(-0.0989212 - 1.00394i) q^{33} +0.738871i q^{34} +(-3.53895 + 3.24698i) q^{35} +(-2.78017 - 3.16965i) q^{36} -1.79997 q^{37} +(0.742164 - 1.28547i) q^{38} +(-3.67272 + 5.05085i) q^{39} +(-4.12820 + 2.38342i) q^{40} +(-1.73088 + 2.99798i) q^{41} +(-0.724811 + 3.45854i) q^{42} +(-0.367529 - 0.636578i) q^{43} +(0.708879 - 0.409272i) q^{44} +(1.75010 - 5.15701i) q^{45} +6.73291 q^{46} +(-3.49201 - 6.04834i) q^{47} +(0.561730 - 1.23990i) q^{48} +(-6.34039 + 2.96638i) q^{49} +(1.13841 + 0.657260i) q^{50} +(0.684881 - 1.51173i) q^{51} +(-4.96281 - 1.02324i) q^{52} +(-5.08741 - 2.93722i) q^{53} +(-1.16359 - 3.83413i) q^{54} +(0.915636 + 0.528642i) q^{55} +(-6.78192 + 1.50803i) q^{56} +(-2.71000 + 1.94213i) q^{57} +(-1.90065 + 3.29202i) q^{58} +7.65673 q^{59} +(4.39750 - 0.433299i) q^{60} +(-3.31677 - 1.91494i) q^{61} +(1.26249 - 2.18670i) q^{62} +(4.68878 - 6.40432i) q^{63} -2.94528 q^{64} +(-2.06053 - 6.21232i) q^{65} +(0.774149 - 0.0762792i) q^{66} +(5.07823 + 8.79576i) q^{67} +1.34663 q^{68} +(-13.7755 - 6.24093i) q^{69} +(-2.50378 - 2.72892i) q^{70} +(9.73044 - 5.61787i) q^{71} +(5.92241 - 5.19468i) q^{72} +(-7.30674 - 4.21855i) q^{73} -1.38798i q^{74} +(-1.71995 - 2.39998i) q^{75} +(-2.34283 - 1.35263i) q^{76} +(1.04179 + 1.13546i) q^{77} +(-3.89476 - 2.83208i) q^{78} +(6.35477 + 11.0068i) q^{79} +(0.713316 + 1.23550i) q^{80} +(-1.17327 + 8.92320i) q^{81} +(-2.31177 - 1.33470i) q^{82} -7.45221 q^{83} +(6.30337 + 1.32101i) q^{84} +(0.869698 + 1.50636i) q^{85} +(0.490872 - 0.283405i) q^{86} +(6.94019 - 4.97370i) q^{87} +(0.764713 + 1.32452i) q^{88} -7.06905 q^{89} +(3.97662 + 1.34952i) q^{90} +(-0.147552 - 9.53825i) q^{91} -12.2711i q^{92} +(-4.60998 + 3.30375i) q^{93} +(4.66394 - 2.69273i) q^{94} -3.49430i q^{95} +(9.24192 + 4.18700i) q^{96} +(-7.89537 + 4.55839i) q^{97} +(-2.28741 - 4.88914i) q^{98} +(-1.65461 - 0.561514i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q - 64 q^{4} + 12 q^{6} - 10 q^{7} - 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 64 q - 64 q^{4} + 12 q^{6} - 10 q^{7} - 4 q^{9} - 6 q^{10} + 6 q^{12} + 12 q^{13} - 9 q^{15} + 32 q^{16} + 2 q^{18} - 36 q^{19} + 10 q^{21} + 10 q^{22} - 18 q^{24} - 24 q^{25} - 14 q^{28} + 8 q^{30} - 24 q^{31} - 45 q^{33} + 33 q^{39} + 90 q^{40} + 3 q^{42} - 20 q^{43} - 6 q^{48} - 6 q^{49} - 10 q^{51} - 48 q^{52} - 18 q^{55} + 4 q^{57} + 30 q^{58} + 55 q^{60} - 18 q^{61} + 31 q^{63} - 84 q^{64} + 75 q^{66} + 44 q^{67} + 33 q^{69} + 20 q^{70} + 17 q^{72} + 84 q^{73} - 18 q^{76} - 71 q^{78} + 20 q^{79} + 16 q^{81} - 18 q^{82} - 135 q^{84} - 2 q^{85} - 46 q^{88} - 10 q^{91} - 56 q^{93} + 36 q^{94} + 30 q^{96} - 24 q^{97} + 22 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.771110i 0.545257i 0.962119 + 0.272629i \(0.0878930\pi\)
−0.962119 + 0.272629i \(0.912107\pi\)
\(3\) 0.714765 1.57769i 0.412670 0.910881i
\(4\) 1.40539 0.702694
\(5\) 0.907647 + 1.57209i 0.405912 + 0.703060i 0.994427 0.105426i \(-0.0336206\pi\)
−0.588515 + 0.808486i \(0.700287\pi\)
\(6\) 1.21657 + 0.551162i 0.496664 + 0.225011i
\(7\) 0.574285 + 2.58267i 0.217059 + 0.976158i
\(8\) 2.62593i 0.928407i
\(9\) −1.97822 2.25536i −0.659408 0.751786i
\(10\) −1.21225 + 0.699896i −0.383349 + 0.221326i
\(11\) 0.504401 0.291216i 0.152083 0.0878049i −0.422028 0.906583i \(-0.638681\pi\)
0.574110 + 0.818778i \(0.305348\pi\)
\(12\) 1.00452 2.21727i 0.289981 0.640071i
\(13\) −3.53127 0.728085i −0.979399 0.201935i
\(14\) −1.99153 + 0.442837i −0.532258 + 0.118353i
\(15\) 3.12903 0.308312i 0.807911 0.0796059i
\(16\) 0.785896 0.196474
\(17\) 0.958191 0.232395 0.116198 0.993226i \(-0.462929\pi\)
0.116198 + 0.993226i \(0.462929\pi\)
\(18\) 1.73913 1.52543i 0.409917 0.359547i
\(19\) −1.66703 0.962462i −0.382444 0.220804i 0.296437 0.955052i \(-0.404201\pi\)
−0.678881 + 0.734248i \(0.737535\pi\)
\(20\) 1.27560 + 2.20940i 0.285232 + 0.494036i
\(21\) 4.48514 + 0.939958i 0.978738 + 0.205116i
\(22\) 0.224560 + 0.388949i 0.0478763 + 0.0829242i
\(23\) 8.73145i 1.82063i −0.413912 0.910317i \(-0.635838\pi\)
0.413912 0.910317i \(-0.364162\pi\)
\(24\) 4.14291 + 1.87692i 0.845668 + 0.383125i
\(25\) 0.852355 1.47632i 0.170471 0.295265i
\(26\) 0.561434 2.72300i 0.110106 0.534024i
\(27\) −4.97222 + 1.50898i −0.956904 + 0.290403i
\(28\) 0.807094 + 3.62966i 0.152526 + 0.685941i
\(29\) 4.26919 + 2.46482i 0.792769 + 0.457705i 0.840936 0.541134i \(-0.182005\pi\)
−0.0481677 + 0.998839i \(0.515338\pi\)
\(30\) 0.237743 + 2.41283i 0.0434057 + 0.440520i
\(31\) −2.83579 1.63724i −0.509322 0.294057i 0.223233 0.974765i \(-0.428339\pi\)
−0.732555 + 0.680708i \(0.761672\pi\)
\(32\) 5.85787i 1.03554i
\(33\) −0.0989212 1.00394i −0.0172200 0.174764i
\(34\) 0.738871i 0.126715i
\(35\) −3.53895 + 3.24698i −0.598191 + 0.548840i
\(36\) −2.78017 3.16965i −0.463362 0.528276i
\(37\) −1.79997 −0.295914 −0.147957 0.988994i \(-0.547270\pi\)
−0.147957 + 0.988994i \(0.547270\pi\)
\(38\) 0.742164 1.28547i 0.120395 0.208530i
\(39\) −3.67272 + 5.05085i −0.588106 + 0.808784i
\(40\) −4.12820 + 2.38342i −0.652726 + 0.376851i
\(41\) −1.73088 + 2.99798i −0.270319 + 0.468205i −0.968943 0.247283i \(-0.920462\pi\)
0.698625 + 0.715488i \(0.253796\pi\)
\(42\) −0.724811 + 3.45854i −0.111841 + 0.533664i
\(43\) −0.367529 0.636578i −0.0560476 0.0970772i 0.836640 0.547753i \(-0.184517\pi\)
−0.892688 + 0.450675i \(0.851183\pi\)
\(44\) 0.708879 0.409272i 0.106868 0.0617000i
\(45\) 1.75010 5.15701i 0.260889 0.768762i
\(46\) 6.73291 0.992714
\(47\) −3.49201 6.04834i −0.509362 0.882241i −0.999941 0.0108447i \(-0.996548\pi\)
0.490579 0.871397i \(-0.336785\pi\)
\(48\) 0.561730 1.23990i 0.0810788 0.178964i
\(49\) −6.34039 + 2.96638i −0.905770 + 0.423769i
\(50\) 1.13841 + 0.657260i 0.160995 + 0.0929506i
\(51\) 0.684881 1.51173i 0.0959025 0.211684i
\(52\) −4.96281 1.02324i −0.688218 0.141898i
\(53\) −5.08741 2.93722i −0.698810 0.403458i 0.108094 0.994141i \(-0.465525\pi\)
−0.806904 + 0.590683i \(0.798858\pi\)
\(54\) −1.16359 3.83413i −0.158344 0.521759i
\(55\) 0.915636 + 0.528642i 0.123464 + 0.0712821i
\(56\) −6.78192 + 1.50803i −0.906272 + 0.201519i
\(57\) −2.71000 + 1.94213i −0.358949 + 0.257241i
\(58\) −1.90065 + 3.29202i −0.249567 + 0.432263i
\(59\) 7.65673 0.996822 0.498411 0.866941i \(-0.333917\pi\)
0.498411 + 0.866941i \(0.333917\pi\)
\(60\) 4.39750 0.433299i 0.567715 0.0559386i
\(61\) −3.31677 1.91494i −0.424668 0.245182i 0.272404 0.962183i \(-0.412181\pi\)
−0.697073 + 0.717000i \(0.745515\pi\)
\(62\) 1.26249 2.18670i 0.160337 0.277712i
\(63\) 4.68878 6.40432i 0.590731 0.806868i
\(64\) −2.94528 −0.368159
\(65\) −2.06053 6.21232i −0.255578 0.770544i
\(66\) 0.774149 0.0762792i 0.0952911 0.00938931i
\(67\) 5.07823 + 8.79576i 0.620405 + 1.07457i 0.989410 + 0.145146i \(0.0463651\pi\)
−0.369005 + 0.929427i \(0.620302\pi\)
\(68\) 1.34663 0.163303
\(69\) −13.7755 6.24093i −1.65838 0.751320i
\(70\) −2.50378 2.72892i −0.299259 0.326168i
\(71\) 9.73044 5.61787i 1.15479 0.666719i 0.204740 0.978816i \(-0.434365\pi\)
0.950050 + 0.312098i \(0.101032\pi\)
\(72\) 5.92241 5.19468i 0.697963 0.612198i
\(73\) −7.30674 4.21855i −0.855189 0.493744i 0.00720927 0.999974i \(-0.497705\pi\)
−0.862398 + 0.506230i \(0.831039\pi\)
\(74\) 1.38798i 0.161349i
\(75\) −1.71995 2.39998i −0.198603 0.277125i
\(76\) −2.34283 1.35263i −0.268741 0.155158i
\(77\) 1.04179 + 1.13546i 0.118722 + 0.129398i
\(78\) −3.89476 2.83208i −0.440995 0.320669i
\(79\) 6.35477 + 11.0068i 0.714968 + 1.23836i 0.962972 + 0.269602i \(0.0868921\pi\)
−0.248004 + 0.968759i \(0.579775\pi\)
\(80\) 0.713316 + 1.23550i 0.0797511 + 0.138133i
\(81\) −1.17327 + 8.92320i −0.130363 + 0.991466i
\(82\) −2.31177 1.33470i −0.255292 0.147393i
\(83\) −7.45221 −0.817987 −0.408993 0.912537i \(-0.634120\pi\)
−0.408993 + 0.912537i \(0.634120\pi\)
\(84\) 6.30337 + 1.32101i 0.687754 + 0.144134i
\(85\) 0.869698 + 1.50636i 0.0943320 + 0.163388i
\(86\) 0.490872 0.283405i 0.0529321 0.0305603i
\(87\) 6.94019 4.97370i 0.744066 0.533237i
\(88\) 0.764713 + 1.32452i 0.0815187 + 0.141194i
\(89\) −7.06905 −0.749318 −0.374659 0.927163i \(-0.622240\pi\)
−0.374659 + 0.927163i \(0.622240\pi\)
\(90\) 3.97662 + 1.34952i 0.419173 + 0.142252i
\(91\) −0.147552 9.53825i −0.0154677 0.999880i
\(92\) 12.2711i 1.27935i
\(93\) −4.60998 + 3.30375i −0.478033 + 0.342583i
\(94\) 4.66394 2.69273i 0.481049 0.277734i
\(95\) 3.49430i 0.358508i
\(96\) 9.24192 + 4.18700i 0.943249 + 0.427334i
\(97\) −7.89537 + 4.55839i −0.801653 + 0.462835i −0.844049 0.536266i \(-0.819834\pi\)
0.0423956 + 0.999101i \(0.486501\pi\)
\(98\) −2.28741 4.88914i −0.231063 0.493878i
\(99\) −1.65461 0.561514i −0.166295 0.0564343i
\(100\) 1.19789 2.07481i 0.119789 0.207481i
\(101\) 2.12969 + 3.68873i 0.211912 + 0.367043i 0.952313 0.305123i \(-0.0986976\pi\)
−0.740401 + 0.672166i \(0.765364\pi\)
\(102\) 1.16571 + 0.528119i 0.115423 + 0.0522915i
\(103\) −1.48182 + 0.855530i −0.146008 + 0.0842979i −0.571224 0.820794i \(-0.693531\pi\)
0.425216 + 0.905092i \(0.360198\pi\)
\(104\) 1.91190 9.27288i 0.187477 0.909281i
\(105\) 2.59322 + 7.90419i 0.253073 + 0.771370i
\(106\) 2.26492 3.92296i 0.219988 0.381031i
\(107\) 18.3323i 1.77225i 0.463442 + 0.886127i \(0.346614\pi\)
−0.463442 + 0.886127i \(0.653386\pi\)
\(108\) −6.98790 + 2.12070i −0.672411 + 0.204064i
\(109\) 7.69087 13.3210i 0.736651 1.27592i −0.217344 0.976095i \(-0.569739\pi\)
0.953995 0.299822i \(-0.0969275\pi\)
\(110\) −0.407642 + 0.706056i −0.0388671 + 0.0673198i
\(111\) −1.28656 + 2.83980i −0.122115 + 0.269542i
\(112\) 0.451328 + 2.02971i 0.0426465 + 0.191790i
\(113\) −13.4652 + 7.77412i −1.26670 + 0.731328i −0.974362 0.224988i \(-0.927766\pi\)
−0.292335 + 0.956316i \(0.594432\pi\)
\(114\) −1.49760 2.08971i −0.140263 0.195719i
\(115\) 13.7266 7.92507i 1.28001 0.739017i
\(116\) 5.99987 + 3.46403i 0.557074 + 0.321627i
\(117\) 5.34355 + 9.40460i 0.494012 + 0.869455i
\(118\) 5.90419i 0.543524i
\(119\) 0.550275 + 2.47469i 0.0504436 + 0.226855i
\(120\) 0.809607 + 8.21661i 0.0739066 + 0.750070i
\(121\) −5.33039 + 9.23250i −0.484581 + 0.839318i
\(122\) 1.47663 2.55759i 0.133688 0.231554i
\(123\) 3.49271 + 4.87365i 0.314927 + 0.439442i
\(124\) −3.98538 2.30096i −0.357898 0.206632i
\(125\) 12.1710 1.08861
\(126\) 4.93844 + 3.61557i 0.439951 + 0.322100i
\(127\) 3.36330 5.82541i 0.298445 0.516922i −0.677336 0.735674i \(-0.736865\pi\)
0.975780 + 0.218753i \(0.0701988\pi\)
\(128\) 9.44461i 0.834794i
\(129\) −1.26702 + 0.124843i −0.111555 + 0.0109918i
\(130\) 4.79039 1.58890i 0.420145 0.139356i
\(131\) 8.45044 + 14.6366i 0.738318 + 1.27880i 0.953252 + 0.302176i \(0.0977131\pi\)
−0.214934 + 0.976629i \(0.568954\pi\)
\(132\) −0.139023 1.41093i −0.0121004 0.122805i
\(133\) 1.52837 4.85813i 0.132527 0.421253i
\(134\) −6.78250 + 3.91588i −0.585919 + 0.338280i
\(135\) −6.88527 6.44716i −0.592590 0.554883i
\(136\) 2.51614i 0.215757i
\(137\) 13.8225i 1.18094i 0.807060 + 0.590470i \(0.201058\pi\)
−0.807060 + 0.590470i \(0.798942\pi\)
\(138\) 4.81245 10.6225i 0.409663 0.904244i
\(139\) 6.06889 3.50387i 0.514756 0.297195i −0.220030 0.975493i \(-0.570616\pi\)
0.734787 + 0.678298i \(0.237282\pi\)
\(140\) −4.97359 + 4.56327i −0.420345 + 0.385667i
\(141\) −12.0384 + 1.18618i −1.01382 + 0.0998942i
\(142\) 4.33200 + 7.50324i 0.363533 + 0.629658i
\(143\) −1.99321 + 0.661116i −0.166680 + 0.0552853i
\(144\) −1.55468 1.77248i −0.129556 0.147706i
\(145\) 8.94873i 0.743152i
\(146\) 3.25297 5.63430i 0.269217 0.466298i
\(147\) 0.148147 + 12.1235i 0.0122190 + 0.999925i
\(148\) −2.52966 −0.207937
\(149\) −19.9386 11.5115i −1.63343 0.943062i −0.983024 0.183476i \(-0.941265\pi\)
−0.650407 0.759586i \(-0.725402\pi\)
\(150\) 1.85065 1.32627i 0.151105 0.108290i
\(151\) 6.63079 11.4849i 0.539606 0.934624i −0.459319 0.888271i \(-0.651907\pi\)
0.998925 0.0463533i \(-0.0147600\pi\)
\(152\) 2.52736 4.37751i 0.204996 0.355063i
\(153\) −1.89551 2.16106i −0.153243 0.174711i
\(154\) −0.875566 + 0.803332i −0.0705551 + 0.0647343i
\(155\) 5.94415i 0.477445i
\(156\) −5.16160 + 7.09841i −0.413259 + 0.568328i
\(157\) 16.2821 + 9.40048i 1.29945 + 0.750240i 0.980310 0.197466i \(-0.0632714\pi\)
0.319144 + 0.947706i \(0.396605\pi\)
\(158\) −8.48745 + 4.90023i −0.675225 + 0.389842i
\(159\) −8.27033 + 5.92695i −0.655880 + 0.470037i
\(160\) −9.20910 + 5.31688i −0.728044 + 0.420336i
\(161\) 22.5505 5.01434i 1.77723 0.395186i
\(162\) −6.88077 0.904718i −0.540604 0.0710814i
\(163\) 2.66816 4.62139i 0.208987 0.361976i −0.742409 0.669947i \(-0.766317\pi\)
0.951396 + 0.307971i \(0.0996501\pi\)
\(164\) −2.43256 + 4.21332i −0.189951 + 0.329005i
\(165\) 1.48850 1.06674i 0.115879 0.0830453i
\(166\) 5.74648i 0.446013i
\(167\) −3.96880 + 6.87417i −0.307115 + 0.531939i −0.977730 0.209867i \(-0.932697\pi\)
0.670615 + 0.741806i \(0.266030\pi\)
\(168\) −2.46826 + 11.7777i −0.190431 + 0.908667i
\(169\) 11.9398 + 5.14214i 0.918445 + 0.395549i
\(170\) −1.16157 + 0.670633i −0.0890884 + 0.0514352i
\(171\) 1.12707 + 5.66372i 0.0861890 + 0.433115i
\(172\) −0.516520 0.894640i −0.0393843 0.0682156i
\(173\) 9.33110 16.1619i 0.709430 1.22877i −0.255638 0.966772i \(-0.582286\pi\)
0.965069 0.261997i \(-0.0843810\pi\)
\(174\) 3.83527 + 5.35165i 0.290751 + 0.405708i
\(175\) 4.30235 + 1.35352i 0.325227 + 0.102317i
\(176\) 0.396407 0.228865i 0.0298803 0.0172514i
\(177\) 5.47276 12.0800i 0.411358 0.907986i
\(178\) 5.45102i 0.408571i
\(179\) 10.3657 5.98466i 0.774771 0.447315i −0.0598026 0.998210i \(-0.519047\pi\)
0.834574 + 0.550896i \(0.185714\pi\)
\(180\) 2.45957 7.24761i 0.183325 0.540205i
\(181\) 25.7422i 1.91340i −0.291075 0.956700i \(-0.594013\pi\)
0.291075 0.956700i \(-0.405987\pi\)
\(182\) 7.35504 0.113779i 0.545192 0.00843387i
\(183\) −5.39189 + 3.86411i −0.398580 + 0.285643i
\(184\) 22.9282 1.69029
\(185\) −1.63374 2.82972i −0.120115 0.208045i
\(186\) −2.54756 3.55480i −0.186796 0.260651i
\(187\) 0.483312 0.279040i 0.0353433 0.0204055i
\(188\) −4.90764 8.50027i −0.357926 0.619946i
\(189\) −6.75267 11.9750i −0.491184 0.871056i
\(190\) 2.69449 0.195479
\(191\) 7.66046 + 4.42277i 0.554291 + 0.320020i 0.750851 0.660472i \(-0.229644\pi\)
−0.196560 + 0.980492i \(0.562977\pi\)
\(192\) −2.10518 + 4.64674i −0.151928 + 0.335349i
\(193\) 4.83838 + 8.38032i 0.348274 + 0.603228i 0.985943 0.167082i \(-0.0534345\pi\)
−0.637669 + 0.770311i \(0.720101\pi\)
\(194\) −3.51502 6.08820i −0.252364 0.437107i
\(195\) −11.2739 1.18946i −0.807343 0.0851793i
\(196\) −8.91072 + 4.16892i −0.636480 + 0.297780i
\(197\) 6.49684 + 3.75095i 0.462881 + 0.267244i 0.713255 0.700905i \(-0.247220\pi\)
−0.250374 + 0.968149i \(0.580554\pi\)
\(198\) 0.432989 1.27589i 0.0307712 0.0906735i
\(199\) 11.8757i 0.841846i −0.907096 0.420923i \(-0.861706\pi\)
0.907096 0.420923i \(-0.138294\pi\)
\(200\) 3.87672 + 2.23823i 0.274126 + 0.158266i
\(201\) 17.5067 1.72499i 1.23483 0.121671i
\(202\) −2.84442 + 1.64223i −0.200133 + 0.115547i
\(203\) −3.91408 + 12.4414i −0.274715 + 0.873217i
\(204\) 0.962524 2.12457i 0.0673901 0.148750i
\(205\) −6.28412 −0.438902
\(206\) −0.659708 1.14265i −0.0459640 0.0796121i
\(207\) −19.6925 + 17.2728i −1.36873 + 1.20054i
\(208\) −2.77521 0.572199i −0.192426 0.0396749i
\(209\) −1.12114 −0.0775507
\(210\) −6.09500 + 1.99966i −0.420595 + 0.137990i
\(211\) 10.9251 18.9229i 0.752118 1.30271i −0.194677 0.980867i \(-0.562366\pi\)
0.946794 0.321839i \(-0.104301\pi\)
\(212\) −7.14979 4.12793i −0.491050 0.283508i
\(213\) −1.90830 19.3671i −0.130754 1.32701i
\(214\) −14.1363 −0.966335
\(215\) 0.667172 1.15558i 0.0455008 0.0788096i
\(216\) −3.96247 13.0567i −0.269612 0.888396i
\(217\) 2.59991 8.26415i 0.176493 0.561007i
\(218\) 10.2719 + 5.93051i 0.695703 + 0.401665i
\(219\) −11.8782 + 8.51251i −0.802652 + 0.575222i
\(220\) 1.28682 + 0.742948i 0.0867577 + 0.0500896i
\(221\) −3.38363 0.697645i −0.227608 0.0469287i
\(222\) −2.18980 0.992077i −0.146970 0.0665838i
\(223\) 24.0650 + 13.8939i 1.61151 + 0.930405i 0.989021 + 0.147776i \(0.0472115\pi\)
0.622488 + 0.782629i \(0.286122\pi\)
\(224\) −15.1290 + 3.36409i −1.01085 + 0.224773i
\(225\) −5.01578 + 0.998130i −0.334385 + 0.0665420i
\(226\) −5.99471 10.3831i −0.398762 0.690676i
\(227\) −20.2085 −1.34128 −0.670641 0.741782i \(-0.733981\pi\)
−0.670641 + 0.741782i \(0.733981\pi\)
\(228\) −3.80861 + 2.72945i −0.252231 + 0.180762i
\(229\) −20.9871 + 12.1169i −1.38687 + 0.800710i −0.992961 0.118440i \(-0.962211\pi\)
−0.393909 + 0.919150i \(0.628877\pi\)
\(230\) 6.11111 + 10.5847i 0.402954 + 0.697937i
\(231\) 2.53604 0.832029i 0.166859 0.0547435i
\(232\) −6.47244 + 11.2106i −0.424937 + 0.736012i
\(233\) 1.70972 0.987109i 0.112008 0.0646676i −0.442950 0.896547i \(-0.646068\pi\)
0.554957 + 0.831879i \(0.312735\pi\)
\(234\) −7.25198 + 4.12047i −0.474077 + 0.269364i
\(235\) 6.33903 10.9795i 0.413512 0.716225i
\(236\) 10.7607 0.700461
\(237\) 21.9075 2.15861i 1.42304 0.140217i
\(238\) −1.90826 + 0.424323i −0.123694 + 0.0275047i
\(239\) 15.2639i 0.987340i −0.869649 0.493670i \(-0.835655\pi\)
0.869649 0.493670i \(-0.164345\pi\)
\(240\) 2.45909 0.242301i 0.158734 0.0156405i
\(241\) 7.72863i 0.497845i 0.968523 + 0.248922i \(0.0800764\pi\)
−0.968523 + 0.248922i \(0.919924\pi\)
\(242\) −7.11928 4.11032i −0.457644 0.264221i
\(243\) 13.2394 + 8.22904i 0.849311 + 0.527893i
\(244\) −4.66135 2.69123i −0.298412 0.172288i
\(245\) −10.4183 7.27524i −0.665598 0.464798i
\(246\) −3.75812 + 2.69326i −0.239609 + 0.171716i
\(247\) 5.18599 + 4.61246i 0.329977 + 0.293484i
\(248\) 4.29928 7.44657i 0.273005 0.472858i
\(249\) −5.32658 + 11.7573i −0.337558 + 0.745088i
\(250\) 9.38520i 0.593572i
\(251\) 3.19849 + 5.53994i 0.201887 + 0.349678i 0.949136 0.314866i \(-0.101959\pi\)
−0.747250 + 0.664543i \(0.768626\pi\)
\(252\) 6.58956 9.00056i 0.415103 0.566982i
\(253\) −2.54274 4.40415i −0.159861 0.276887i
\(254\) 4.49203 + 2.59348i 0.281855 + 0.162729i
\(255\) 2.99820 0.295422i 0.187755 0.0185000i
\(256\) −13.1734 −0.823337
\(257\) −11.9012 −0.742376 −0.371188 0.928558i \(-0.621050\pi\)
−0.371188 + 0.928558i \(0.621050\pi\)
\(258\) −0.0962679 0.977012i −0.00599338 0.0608261i
\(259\) −1.03370 4.64874i −0.0642308 0.288859i
\(260\) −2.89585 8.73073i −0.179593 0.541457i
\(261\) −2.88637 14.5045i −0.178662 0.897806i
\(262\) −11.2864 + 6.51622i −0.697278 + 0.402574i
\(263\) −2.82133 + 1.62890i −0.173971 + 0.100442i −0.584457 0.811425i \(-0.698692\pi\)
0.410486 + 0.911867i \(0.365359\pi\)
\(264\) 2.63628 0.259760i 0.162252 0.0159871i
\(265\) 10.6638i 0.655074i
\(266\) 3.74615 + 1.17854i 0.229691 + 0.0722611i
\(267\) −5.05271 + 11.1528i −0.309221 + 0.682539i
\(268\) 7.13689 + 12.3615i 0.435955 + 0.755096i
\(269\) 24.8332 1.51410 0.757052 0.653354i \(-0.226639\pi\)
0.757052 + 0.653354i \(0.226639\pi\)
\(270\) 4.97147 5.30930i 0.302554 0.323114i
\(271\) 3.52655i 0.214223i 0.994247 + 0.107111i \(0.0341602\pi\)
−0.994247 + 0.107111i \(0.965840\pi\)
\(272\) 0.753038 0.0456596
\(273\) −15.1539 6.58481i −0.917155 0.398531i
\(274\) −10.6587 −0.643916
\(275\) 0.992878i 0.0598728i
\(276\) −19.3600 8.77094i −1.16533 0.527948i
\(277\) −19.7137 −1.18448 −0.592240 0.805761i \(-0.701756\pi\)
−0.592240 + 0.805761i \(0.701756\pi\)
\(278\) 2.70187 + 4.67978i 0.162048 + 0.280675i
\(279\) 1.91725 + 9.63453i 0.114783 + 0.576805i
\(280\) −8.52635 9.29302i −0.509547 0.555364i
\(281\) 7.26918i 0.433643i 0.976211 + 0.216822i \(0.0695690\pi\)
−0.976211 + 0.216822i \(0.930431\pi\)
\(282\) −0.914674 9.28293i −0.0544681 0.552790i
\(283\) 6.62817 3.82677i 0.394004 0.227478i −0.289890 0.957060i \(-0.593619\pi\)
0.683893 + 0.729582i \(0.260285\pi\)
\(284\) 13.6750 7.89529i 0.811465 0.468499i
\(285\) −5.51293 2.49760i −0.326558 0.147945i
\(286\) −0.509794 1.53698i −0.0301447 0.0908837i
\(287\) −8.73681 2.74861i −0.515718 0.162245i
\(288\) 13.2116 11.5882i 0.778501 0.682840i
\(289\) −16.0819 −0.945992
\(290\) −6.90046 −0.405209
\(291\) 1.54841 + 15.7146i 0.0907694 + 0.921208i
\(292\) −10.2688 5.92870i −0.600937 0.346951i
\(293\) 1.60733 + 2.78398i 0.0939012 + 0.162642i 0.909149 0.416470i \(-0.136733\pi\)
−0.815248 + 0.579112i \(0.803400\pi\)
\(294\) −9.34852 + 0.114238i −0.545217 + 0.00666248i
\(295\) 6.94961 + 12.0371i 0.404622 + 0.700825i
\(296\) 4.72660i 0.274728i
\(297\) −2.06855 + 2.20912i −0.120030 + 0.128186i
\(298\) 8.87667 15.3748i 0.514211 0.890640i
\(299\) −6.35724 + 30.8331i −0.367649 + 1.78313i
\(300\) −2.41720 3.37290i −0.139557 0.194735i
\(301\) 1.43301 1.31478i 0.0825971 0.0757828i
\(302\) 8.85609 + 5.11307i 0.509611 + 0.294224i
\(303\) 7.34191 0.723420i 0.421782 0.0415594i
\(304\) −1.31011 0.756395i −0.0751402 0.0433822i
\(305\) 6.95234i 0.398090i
\(306\) 1.66642 1.46165i 0.0952627 0.0835570i
\(307\) 0.411157i 0.0234660i 0.999931 + 0.0117330i \(0.00373481\pi\)
−0.999931 + 0.0117330i \(0.996265\pi\)
\(308\) 1.46411 + 1.59576i 0.0834256 + 0.0909271i
\(309\) 0.290609 + 2.94936i 0.0165322 + 0.167783i
\(310\) 4.58359 0.260331
\(311\) −6.37864 + 11.0481i −0.361700 + 0.626482i −0.988241 0.152906i \(-0.951137\pi\)
0.626541 + 0.779388i \(0.284470\pi\)
\(312\) −13.2632 9.64432i −0.750880 0.546002i
\(313\) −16.6392 + 9.60667i −0.940505 + 0.543001i −0.890119 0.455729i \(-0.849379\pi\)
−0.0503864 + 0.998730i \(0.516045\pi\)
\(314\) −7.24881 + 12.5553i −0.409074 + 0.708537i
\(315\) 14.3239 + 1.55833i 0.807062 + 0.0878019i
\(316\) 8.93093 + 15.4688i 0.502404 + 0.870189i
\(317\) 10.7952 6.23260i 0.606318 0.350058i −0.165205 0.986259i \(-0.552829\pi\)
0.771523 + 0.636201i \(0.219495\pi\)
\(318\) −4.57033 6.37733i −0.256291 0.357623i
\(319\) 2.87118 0.160755
\(320\) −2.67327 4.63024i −0.149440 0.258838i
\(321\) 28.9228 + 13.1033i 1.61431 + 0.731356i
\(322\) 3.86661 + 17.3889i 0.215478 + 0.969046i
\(323\) −1.59734 0.922222i −0.0888781 0.0513138i
\(324\) −1.64890 + 12.5406i −0.0916053 + 0.696698i
\(325\) −4.08479 + 4.59271i −0.226583 + 0.254758i
\(326\) 3.56360 + 2.05745i 0.197370 + 0.113952i
\(327\) −15.5192 21.6552i −0.858215 1.19753i
\(328\) −7.87248 4.54518i −0.434685 0.250965i
\(329\) 13.6155 12.4922i 0.750646 0.688717i
\(330\) 0.822571 + 1.14780i 0.0452810 + 0.0631841i
\(331\) −2.79920 + 4.84835i −0.153858 + 0.266490i −0.932643 0.360802i \(-0.882503\pi\)
0.778785 + 0.627291i \(0.215836\pi\)
\(332\) −10.4733 −0.574795
\(333\) 3.56075 + 4.05958i 0.195128 + 0.222464i
\(334\) −5.30074 3.06038i −0.290044 0.167457i
\(335\) −9.21848 + 15.9669i −0.503660 + 0.872364i
\(336\) 3.52485 + 0.738709i 0.192296 + 0.0402999i
\(337\) −2.46442 −0.134246 −0.0671229 0.997745i \(-0.521382\pi\)
−0.0671229 + 0.997745i \(0.521382\pi\)
\(338\) −3.96515 + 9.20689i −0.215676 + 0.500789i
\(339\) 2.64074 + 26.8006i 0.143425 + 1.45561i
\(340\) 1.22226 + 2.11702i 0.0662866 + 0.114812i
\(341\) −1.90716 −0.103279
\(342\) −4.36735 + 0.869094i −0.236159 + 0.0469952i
\(343\) −11.3024 14.6716i −0.610271 0.792192i
\(344\) 1.67161 0.965104i 0.0901272 0.0520349i
\(345\) −2.69201 27.3210i −0.144933 1.47091i
\(346\) 12.4626 + 7.19531i 0.669995 + 0.386822i
\(347\) 25.7386i 1.38172i −0.722987 0.690861i \(-0.757232\pi\)
0.722987 0.690861i \(-0.242768\pi\)
\(348\) 9.75366 6.98998i 0.522851 0.374703i
\(349\) 16.4024 + 9.46994i 0.878001 + 0.506914i 0.869999 0.493054i \(-0.164119\pi\)
0.00800232 + 0.999968i \(0.497453\pi\)
\(350\) −1.04372 + 3.31759i −0.0557890 + 0.177333i
\(351\) 18.6569 1.70841i 0.995834 0.0911882i
\(352\) 1.70591 + 2.95472i 0.0909251 + 0.157487i
\(353\) −14.7276 25.5089i −0.783869 1.35770i −0.929673 0.368387i \(-0.879910\pi\)
0.145804 0.989314i \(-0.453423\pi\)
\(354\) 9.31498 + 4.22010i 0.495086 + 0.224296i
\(355\) 17.6636 + 10.1981i 0.937486 + 0.541258i
\(356\) −9.93476 −0.526541
\(357\) 4.29762 + 0.900659i 0.227454 + 0.0476679i
\(358\) 4.61483 + 7.99313i 0.243902 + 0.422450i
\(359\) 15.2203 8.78743i 0.803295 0.463783i −0.0413270 0.999146i \(-0.513159\pi\)
0.844622 + 0.535363i \(0.179825\pi\)
\(360\) 13.5420 + 4.59563i 0.713724 + 0.242211i
\(361\) −7.64733 13.2456i −0.402491 0.697135i
\(362\) 19.8501 1.04330
\(363\) 10.7561 + 15.0088i 0.564547 + 0.787756i
\(364\) −0.207368 13.4050i −0.0108691 0.702610i
\(365\) 15.3158i 0.801666i
\(366\) −2.97965 4.15774i −0.155749 0.217329i
\(367\) 0.647406 0.373780i 0.0337943 0.0195112i −0.483008 0.875616i \(-0.660456\pi\)
0.516802 + 0.856105i \(0.327122\pi\)
\(368\) 6.86201i 0.357707i
\(369\) 10.1856 2.02691i 0.530240 0.105517i
\(370\) 2.18203 1.25979i 0.113438 0.0654935i
\(371\) 4.66425 14.8259i 0.242156 0.769723i
\(372\) −6.47882 + 4.64306i −0.335911 + 0.240731i
\(373\) −15.3884 + 26.6535i −0.796782 + 1.38007i 0.124919 + 0.992167i \(0.460133\pi\)
−0.921701 + 0.387901i \(0.873200\pi\)
\(374\) 0.215171 + 0.372687i 0.0111262 + 0.0192712i
\(375\) 8.69941 19.2021i 0.449236 0.991593i
\(376\) 15.8825 9.16978i 0.819079 0.472895i
\(377\) −13.2811 11.8123i −0.684010 0.608363i
\(378\) 9.23407 5.20705i 0.474949 0.267822i
\(379\) 4.18402 7.24693i 0.214918 0.372250i −0.738329 0.674441i \(-0.764385\pi\)
0.953247 + 0.302191i \(0.0977181\pi\)
\(380\) 4.91085i 0.251921i
\(381\) −6.78673 9.47005i −0.347695 0.485165i
\(382\) −3.41044 + 5.90706i −0.174493 + 0.302231i
\(383\) −8.89052 + 15.3988i −0.454284 + 0.786843i −0.998647 0.0520069i \(-0.983438\pi\)
0.544363 + 0.838850i \(0.316772\pi\)
\(384\) 14.9007 + 6.75068i 0.760398 + 0.344494i
\(385\) −0.839474 + 2.66838i −0.0427836 + 0.135993i
\(386\) −6.46215 + 3.73092i −0.328915 + 0.189899i
\(387\) −0.708657 + 2.08820i −0.0360231 + 0.106149i
\(388\) −11.0961 + 6.40632i −0.563317 + 0.325231i
\(389\) −3.30858 1.91021i −0.167752 0.0968516i 0.413773 0.910380i \(-0.364211\pi\)
−0.581525 + 0.813528i \(0.697544\pi\)
\(390\) 0.917208 8.69344i 0.0464446 0.440210i
\(391\) 8.36640i 0.423107i
\(392\) −7.78951 16.6494i −0.393430 0.840923i
\(393\) 29.1321 2.87047i 1.46952 0.144796i
\(394\) −2.89240 + 5.00978i −0.145717 + 0.252389i
\(395\) −11.5358 + 19.9806i −0.580428 + 1.00533i
\(396\) −2.32538 0.789145i −0.116855 0.0396560i
\(397\) 1.15498 + 0.666826i 0.0579666 + 0.0334670i 0.528703 0.848807i \(-0.322678\pi\)
−0.470737 + 0.882274i \(0.656012\pi\)
\(398\) 9.15748 0.459023
\(399\) −6.57220 5.88372i −0.329022 0.294554i
\(400\) 0.669862 1.16024i 0.0334931 0.0580118i
\(401\) 4.06775i 0.203134i 0.994829 + 0.101567i \(0.0323856\pi\)
−0.994829 + 0.101567i \(0.967614\pi\)
\(402\) 1.33016 + 13.4996i 0.0663423 + 0.673300i
\(403\) 8.82188 + 7.84624i 0.439449 + 0.390849i
\(404\) 2.99304 + 5.18410i 0.148909 + 0.257919i
\(405\) −15.0930 + 6.25463i −0.749976 + 0.310795i
\(406\) −9.59371 3.01819i −0.476128 0.149790i
\(407\) −0.907908 + 0.524181i −0.0450033 + 0.0259827i
\(408\) 3.96970 + 1.79845i 0.196529 + 0.0890365i
\(409\) 30.1305i 1.48986i 0.667145 + 0.744928i \(0.267516\pi\)
−0.667145 + 0.744928i \(0.732484\pi\)
\(410\) 4.84575i 0.239315i
\(411\) 21.8077 + 9.87986i 1.07570 + 0.487338i
\(412\) −2.08254 + 1.20235i −0.102599 + 0.0592357i
\(413\) 4.39715 + 19.7748i 0.216370 + 0.973056i
\(414\) −13.3192 15.1851i −0.654603 0.746308i
\(415\) −6.76398 11.7155i −0.332030 0.575094i
\(416\) 4.26503 20.6858i 0.209110 1.01420i
\(417\) −1.19021 12.0793i −0.0582847 0.591525i
\(418\) 0.864520i 0.0422851i
\(419\) 2.07087 3.58686i 0.101169 0.175229i −0.810998 0.585049i \(-0.801075\pi\)
0.912166 + 0.409820i \(0.134408\pi\)
\(420\) 3.64449 + 11.1085i 0.177833 + 0.542038i
\(421\) 15.5075 0.755792 0.377896 0.925848i \(-0.376648\pi\)
0.377896 + 0.925848i \(0.376648\pi\)
\(422\) 14.5916 + 8.42449i 0.710310 + 0.410098i
\(423\) −6.73319 + 19.8407i −0.327379 + 0.964688i
\(424\) 7.71293 13.3592i 0.374573 0.648780i
\(425\) 0.816719 1.41460i 0.0396167 0.0686181i
\(426\) 14.9342 1.47151i 0.723562 0.0712948i
\(427\) 3.04088 9.66584i 0.147159 0.467763i
\(428\) 25.7641i 1.24535i
\(429\) −0.381636 + 3.61721i −0.0184256 + 0.174641i
\(430\) 0.891076 + 0.514463i 0.0429715 + 0.0248096i
\(431\) 6.91490 3.99232i 0.333079 0.192303i −0.324128 0.946013i \(-0.605071\pi\)
0.657207 + 0.753710i \(0.271738\pi\)
\(432\) −3.90765 + 1.18590i −0.188007 + 0.0570566i
\(433\) 27.4285 15.8358i 1.31813 0.761022i 0.334701 0.942324i \(-0.391365\pi\)
0.983427 + 0.181302i \(0.0580312\pi\)
\(434\) 6.37257 + 2.00482i 0.305893 + 0.0962342i
\(435\) 14.1183 + 6.39624i 0.676923 + 0.306676i
\(436\) 10.8087 18.7211i 0.517641 0.896580i
\(437\) −8.40369 + 14.5556i −0.402003 + 0.696290i
\(438\) −6.56409 9.15938i −0.313644 0.437652i
\(439\) 30.8182i 1.47087i 0.677593 + 0.735437i \(0.263023\pi\)
−0.677593 + 0.735437i \(0.736977\pi\)
\(440\) −1.38818 + 2.40440i −0.0661788 + 0.114625i
\(441\) 19.2330 + 8.43168i 0.915855 + 0.401509i
\(442\) 0.537961 2.60915i 0.0255882 0.124105i
\(443\) 6.41453 3.70343i 0.304763 0.175955i −0.339817 0.940491i \(-0.610365\pi\)
0.644581 + 0.764536i \(0.277032\pi\)
\(444\) −1.80811 + 3.99103i −0.0858092 + 0.189406i
\(445\) −6.41620 11.1132i −0.304157 0.526815i
\(446\) −10.7137 + 18.5567i −0.507310 + 0.878687i
\(447\) −32.4130 + 23.2289i −1.53308 + 1.09869i
\(448\) −1.69143 7.60668i −0.0799125 0.359382i
\(449\) −15.2937 + 8.82982i −0.721754 + 0.416705i −0.815398 0.578901i \(-0.803482\pi\)
0.0936437 + 0.995606i \(0.470149\pi\)
\(450\) −0.769669 3.86772i −0.0362825 0.182326i
\(451\) 2.01624i 0.0949412i
\(452\) −18.9238 + 10.9257i −0.890101 + 0.513900i
\(453\) −13.3801 18.6703i −0.628653 0.877208i
\(454\) 15.5830i 0.731344i
\(455\) 14.8611 8.88933i 0.696697 0.416738i
\(456\) −5.09990 7.11628i −0.238825 0.333250i
\(457\) −1.63128 −0.0763083 −0.0381541 0.999272i \(-0.512148\pi\)
−0.0381541 + 0.999272i \(0.512148\pi\)
\(458\) −9.34349 16.1834i −0.436593 0.756201i
\(459\) −4.76434 + 1.44589i −0.222380 + 0.0674883i
\(460\) 19.2913 11.1378i 0.899459 0.519303i
\(461\) 4.15756 + 7.20111i 0.193637 + 0.335389i 0.946453 0.322842i \(-0.104638\pi\)
−0.752816 + 0.658231i \(0.771305\pi\)
\(462\) 0.641586 + 1.95557i 0.0298493 + 0.0909812i
\(463\) −33.1765 −1.54184 −0.770922 0.636930i \(-0.780204\pi\)
−0.770922 + 0.636930i \(0.780204\pi\)
\(464\) 3.35514 + 1.93709i 0.155758 + 0.0899271i
\(465\) −9.37803 4.24867i −0.434896 0.197027i
\(466\) 0.761170 + 1.31838i 0.0352605 + 0.0610730i
\(467\) −13.1401 22.7593i −0.608050 1.05317i −0.991562 0.129637i \(-0.958619\pi\)
0.383512 0.923536i \(-0.374714\pi\)
\(468\) 7.50977 + 13.2171i 0.347139 + 0.610961i
\(469\) −19.8002 + 18.1667i −0.914289 + 0.838860i
\(470\) 8.46642 + 4.88809i 0.390527 + 0.225471i
\(471\) 26.4689 18.9690i 1.21962 0.874046i
\(472\) 20.1060i 0.925456i
\(473\) −0.370763 0.214060i −0.0170477 0.00984251i
\(474\) 1.66453 + 16.8931i 0.0764542 + 0.775926i
\(475\) −2.84181 + 1.64072i −0.130391 + 0.0752813i
\(476\) 0.773350 + 3.47791i 0.0354464 + 0.159410i
\(477\) 3.43956 + 17.2844i 0.157487 + 0.791398i
\(478\) 11.7702 0.538354
\(479\) 16.8054 + 29.1078i 0.767857 + 1.32997i 0.938723 + 0.344673i \(0.112010\pi\)
−0.170866 + 0.985294i \(0.554657\pi\)
\(480\) 1.80605 + 18.3294i 0.0824347 + 0.836621i
\(481\) 6.35619 + 1.31053i 0.289817 + 0.0597552i
\(482\) −5.95962 −0.271453
\(483\) 8.20720 39.1618i 0.373440 1.78192i
\(484\) −7.49127 + 12.9753i −0.340512 + 0.589784i
\(485\) −14.3324 8.27482i −0.650801 0.375740i
\(486\) −6.34550 + 10.2091i −0.287838 + 0.463093i
\(487\) −12.0864 −0.547689 −0.273844 0.961774i \(-0.588295\pi\)
−0.273844 + 0.961774i \(0.588295\pi\)
\(488\) 5.02849 8.70960i 0.227629 0.394265i
\(489\) −5.38403 7.51275i −0.243474 0.339738i
\(490\) 5.61001 8.03362i 0.253435 0.362922i
\(491\) 0.903219 + 0.521474i 0.0407617 + 0.0235338i 0.520242 0.854019i \(-0.325842\pi\)
−0.479481 + 0.877552i \(0.659175\pi\)
\(492\) 4.90862 + 6.84937i 0.221298 + 0.308793i
\(493\) 4.09070 + 2.36177i 0.184236 + 0.106369i
\(494\) −3.55671 + 3.99897i −0.160024 + 0.179922i
\(495\) −0.619054 3.11086i −0.0278244 0.139823i
\(496\) −2.22863 1.28670i −0.100069 0.0577746i
\(497\) 20.0972 + 21.9043i 0.901481 + 0.982541i
\(498\) −9.06617 4.10738i −0.406265 0.184056i
\(499\) 8.90725 + 15.4278i 0.398743 + 0.690643i 0.993571 0.113210i \(-0.0361132\pi\)
−0.594828 + 0.803853i \(0.702780\pi\)
\(500\) 17.1050 0.764959
\(501\) 8.00856 + 11.1750i 0.357796 + 0.499260i
\(502\) −4.27190 + 2.46639i −0.190664 + 0.110080i
\(503\) −9.42384 16.3226i −0.420188 0.727787i 0.575769 0.817612i \(-0.304703\pi\)
−0.995958 + 0.0898249i \(0.971369\pi\)
\(504\) 16.8173 + 12.3124i 0.749102 + 0.548439i
\(505\) −3.86601 + 6.69613i −0.172035 + 0.297974i
\(506\) 3.39609 1.96073i 0.150975 0.0871652i
\(507\) 16.6468 15.1619i 0.739312 0.673363i
\(508\) 4.72675 8.18697i 0.209715 0.363238i
\(509\) −18.5291 −0.821289 −0.410644 0.911796i \(-0.634696\pi\)
−0.410644 + 0.911796i \(0.634696\pi\)
\(510\) 0.227803 + 2.31195i 0.0100873 + 0.102375i
\(511\) 6.69897 21.2936i 0.296345 0.941972i
\(512\) 8.73109i 0.385863i
\(513\) 9.74119 + 2.27006i 0.430084 + 0.100226i
\(514\) 9.17714i 0.404786i
\(515\) −2.68994 1.55304i −0.118533 0.0684350i
\(516\) −1.78066 + 0.175453i −0.0783890 + 0.00772390i
\(517\) −3.52275 2.03386i −0.154930 0.0894491i
\(518\) 3.58469 0.797095i 0.157502 0.0350223i
\(519\) −18.8290 26.2736i −0.826502 1.15328i
\(520\) 16.3131 5.41082i 0.715378 0.237280i
\(521\) −15.3273 + 26.5477i −0.671502 + 1.16307i 0.305977 + 0.952039i \(0.401017\pi\)
−0.977478 + 0.211036i \(0.932316\pi\)
\(522\) 11.1846 2.22571i 0.489535 0.0974166i
\(523\) 4.90639i 0.214541i 0.994230 + 0.107271i \(0.0342111\pi\)
−0.994230 + 0.107271i \(0.965789\pi\)
\(524\) 11.8762 + 20.5701i 0.518812 + 0.898609i
\(525\) 5.21061 5.82034i 0.227410 0.254020i
\(526\) −1.25606 2.17556i −0.0547668 0.0948589i
\(527\) −2.71722 1.56879i −0.118364 0.0683375i
\(528\) −0.0777417 0.788992i −0.00338328 0.0343365i
\(529\) −53.2383 −2.31471
\(530\) 8.22298 0.357184
\(531\) −15.1467 17.2687i −0.657312 0.749396i
\(532\) 2.14796 6.82756i 0.0931257 0.296012i
\(533\) 8.29500 9.32645i 0.359297 0.403973i
\(534\) −8.60002 3.89619i −0.372159 0.168605i
\(535\) −28.8201 + 16.6393i −1.24600 + 0.719379i
\(536\) −23.0971 + 13.3351i −0.997641 + 0.575988i
\(537\) −2.03289 20.6316i −0.0877256 0.890318i
\(538\) 19.1491i 0.825577i
\(539\) −2.33424 + 3.34267i −0.100543 + 0.143979i
\(540\) −9.67648 9.06077i −0.416409 0.389913i
\(541\) −5.85957 10.1491i −0.251923 0.436343i 0.712132 0.702045i \(-0.247730\pi\)
−0.964055 + 0.265702i \(0.914396\pi\)
\(542\) −2.71936 −0.116807
\(543\) −40.6132 18.3996i −1.74288 0.789602i
\(544\) 5.61296i 0.240654i
\(545\) 27.9224 1.19606
\(546\) 5.07762 11.6853i 0.217302 0.500085i
\(547\) −18.8378 −0.805447 −0.402724 0.915322i \(-0.631936\pi\)
−0.402724 + 0.915322i \(0.631936\pi\)
\(548\) 19.4260i 0.829840i
\(549\) 2.24244 + 11.2687i 0.0957050 + 0.480935i
\(550\) 0.765618 0.0326461
\(551\) −4.74459 8.21786i −0.202126 0.350093i
\(552\) 16.3883 36.1736i 0.697531 1.53965i
\(553\) −24.7775 + 22.7333i −1.05365 + 0.966720i
\(554\) 15.2014i 0.645847i
\(555\) −5.63216 + 0.554954i −0.239072 + 0.0235565i
\(556\) 8.52914 4.92430i 0.361716 0.208837i
\(557\) 15.6752 9.05007i 0.664179 0.383464i −0.129688 0.991555i \(-0.541398\pi\)
0.793867 + 0.608091i \(0.208064\pi\)
\(558\) −7.42929 + 1.47841i −0.314507 + 0.0625862i
\(559\) 0.834360 + 2.51552i 0.0352897 + 0.106395i
\(560\) −2.78124 + 2.55179i −0.117529 + 0.107833i
\(561\) −0.0947854 0.961966i −0.00400184 0.0406142i
\(562\) −5.60534 −0.236447
\(563\) 41.4101 1.74523 0.872613 0.488413i \(-0.162424\pi\)
0.872613 + 0.488413i \(0.162424\pi\)
\(564\) −16.9186 + 1.66704i −0.712402 + 0.0701951i
\(565\) −24.4432 14.1123i −1.02833 0.593709i
\(566\) 2.95086 + 5.11105i 0.124034 + 0.214833i
\(567\) −23.7195 + 2.09430i −0.996125 + 0.0879522i
\(568\) 14.7521 + 25.5515i 0.618986 + 1.07212i
\(569\) 36.9416i 1.54867i −0.632774 0.774337i \(-0.718084\pi\)
0.632774 0.774337i \(-0.281916\pi\)
\(570\) 1.92593 4.25108i 0.0806682 0.178058i
\(571\) 4.11160 7.12150i 0.172065 0.298026i −0.767077 0.641556i \(-0.778289\pi\)
0.939142 + 0.343530i \(0.111623\pi\)
\(572\) −2.80123 + 0.929126i −0.117125 + 0.0388487i
\(573\) 12.4532 8.92460i 0.520239 0.372831i
\(574\) 2.11948 6.73705i 0.0884654 0.281199i
\(575\) −12.8904 7.44230i −0.537569 0.310365i
\(576\) 5.82641 + 6.64265i 0.242767 + 0.276777i
\(577\) 6.19495 + 3.57666i 0.257899 + 0.148898i 0.623376 0.781922i \(-0.285761\pi\)
−0.365477 + 0.930821i \(0.619094\pi\)
\(578\) 12.4009i 0.515809i
\(579\) 16.6799 1.64352i 0.693191 0.0683022i
\(580\) 12.5765i 0.522209i
\(581\) −4.27970 19.2466i −0.177552 0.798484i
\(582\) −12.1177 + 1.19399i −0.502296 + 0.0494927i
\(583\) −3.42146 −0.141702
\(584\) 11.0776 19.1870i 0.458395 0.793963i
\(585\) −9.93481 + 16.9366i −0.410754 + 0.700242i
\(586\) −2.14675 + 1.23943i −0.0886815 + 0.0512003i
\(587\) 19.5383 33.8414i 0.806433 1.39678i −0.108886 0.994054i \(-0.534728\pi\)
0.915319 0.402729i \(-0.131938\pi\)
\(588\) 0.208204 + 17.0382i 0.00858620 + 0.702642i
\(589\) 3.15156 + 5.45867i 0.129858 + 0.224921i
\(590\) −9.28191 + 5.35891i −0.382130 + 0.220623i
\(591\) 10.5616 7.56897i 0.434445 0.311346i
\(592\) −1.41459 −0.0581393
\(593\) −11.8909 20.5957i −0.488302 0.845763i 0.511608 0.859219i \(-0.329050\pi\)
−0.999909 + 0.0134558i \(0.995717\pi\)
\(594\) −1.70348 1.59508i −0.0698944 0.0654471i
\(595\) −3.39098 + 3.11123i −0.139017 + 0.127548i
\(596\) −28.0214 16.1782i −1.14780 0.662684i
\(597\) −18.7362 8.48833i −0.766822 0.347404i
\(598\) −23.7758 4.90214i −0.972263 0.200463i
\(599\) 23.4451 + 13.5361i 0.957942 + 0.553068i 0.895539 0.444983i \(-0.146790\pi\)
0.0624030 + 0.998051i \(0.480124\pi\)
\(600\) 6.30217 4.51647i 0.257285 0.184384i
\(601\) −14.6961 8.48480i −0.599467 0.346102i 0.169365 0.985553i \(-0.445828\pi\)
−0.768832 + 0.639451i \(0.779162\pi\)
\(602\) 1.01384 + 1.10501i 0.0413211 + 0.0450367i
\(603\) 9.79169 28.8532i 0.398749 1.17499i
\(604\) 9.31883 16.1407i 0.379178 0.656755i
\(605\) −19.3524 −0.786788
\(606\) 0.557837 + 5.66142i 0.0226606 + 0.229980i
\(607\) −11.6683 6.73667i −0.473600 0.273433i 0.244145 0.969739i \(-0.421493\pi\)
−0.717746 + 0.696305i \(0.754826\pi\)
\(608\) 5.63798 9.76527i 0.228650 0.396034i
\(609\) 16.8311 + 15.0679i 0.682030 + 0.610583i
\(610\) 5.36102 0.217061
\(611\) 7.92754 + 23.9008i 0.320714 + 0.966924i
\(612\) −2.66394 3.03713i −0.107683 0.122769i
\(613\) 18.0706 + 31.2992i 0.729864 + 1.26416i 0.956940 + 0.290285i \(0.0937501\pi\)
−0.227076 + 0.973877i \(0.572917\pi\)
\(614\) −0.317047 −0.0127950
\(615\) −4.49167 + 9.91441i −0.181121 + 0.399787i
\(616\) −2.98164 + 2.73566i −0.120134 + 0.110223i
\(617\) −7.10815 + 4.10389i −0.286163 + 0.165216i −0.636210 0.771516i \(-0.719499\pi\)
0.350047 + 0.936732i \(0.386166\pi\)
\(618\) −2.27428 + 0.224092i −0.0914851 + 0.00901429i
\(619\) 10.3240 + 5.96058i 0.414958 + 0.239576i 0.692918 0.721017i \(-0.256325\pi\)
−0.277960 + 0.960593i \(0.589658\pi\)
\(620\) 8.35384i 0.335498i
\(621\) 13.1756 + 43.4147i 0.528717 + 1.74217i
\(622\) −8.51933 4.91864i −0.341594 0.197219i
\(623\) −4.05965 18.2570i −0.162646 0.731453i
\(624\) −2.88638 + 3.96944i −0.115548 + 0.158905i
\(625\) 6.78521 + 11.7523i 0.271408 + 0.470093i
\(626\) −7.40780 12.8307i −0.296075 0.512817i
\(627\) −0.801349 + 1.76881i −0.0320028 + 0.0706394i
\(628\) 22.8827 + 13.2113i 0.913119 + 0.527189i
\(629\) −1.72472 −0.0687689
\(630\) −1.20164 + 11.0453i −0.0478746 + 0.440056i
\(631\) −19.3093 33.4446i −0.768690 1.33141i −0.938273 0.345895i \(-0.887575\pi\)
0.169583 0.985516i \(-0.445758\pi\)
\(632\) −28.9031 + 16.6872i −1.14970 + 0.663781i
\(633\) −22.0456 30.7619i −0.876234 1.22268i
\(634\) 4.80602 + 8.32428i 0.190872 + 0.330599i
\(635\) 12.2108 0.484569
\(636\) −11.6230 + 8.32967i −0.460883 + 0.330293i
\(637\) 24.5494 5.85876i 0.972684 0.232132i
\(638\) 2.21399i 0.0876529i
\(639\) −31.9193 10.8322i −1.26271 0.428515i
\(640\) −14.8478 + 8.57237i −0.586910 + 0.338853i
\(641\) 16.8297i 0.664734i 0.943150 + 0.332367i \(0.107847\pi\)
−0.943150 + 0.332367i \(0.892153\pi\)
\(642\) −10.1041 + 22.3027i −0.398777 + 0.880216i
\(643\) 7.41784 4.28269i 0.292531 0.168893i −0.346552 0.938031i \(-0.612647\pi\)
0.639083 + 0.769138i \(0.279314\pi\)
\(644\) 31.6922 7.04710i 1.24885 0.277695i
\(645\) −1.34627 1.87856i −0.0530094 0.0739681i
\(646\) 0.711135 1.23172i 0.0279792 0.0484614i
\(647\) −17.8175 30.8607i −0.700476 1.21326i −0.968299 0.249793i \(-0.919638\pi\)
0.267823 0.963468i \(-0.413696\pi\)
\(648\) −23.4317 3.08092i −0.920484 0.121030i
\(649\) 3.86206 2.22976i 0.151599 0.0875259i
\(650\) −3.54149 3.14982i −0.138909 0.123546i
\(651\) −11.1800 10.0088i −0.438177 0.392275i
\(652\) 3.74981 6.49486i 0.146854 0.254358i
\(653\) 3.32890i 0.130270i 0.997876 + 0.0651350i \(0.0207478\pi\)
−0.997876 + 0.0651350i \(0.979252\pi\)
\(654\) 16.6985 11.9670i 0.652964 0.467948i
\(655\) −15.3400 + 26.5697i −0.599384 + 1.03816i
\(656\) −1.36029 + 2.35610i −0.0531105 + 0.0919902i
\(657\) 4.94003 + 24.8245i 0.192729 + 0.968497i
\(658\) 9.63286 + 10.4990i 0.375528 + 0.409295i
\(659\) −33.3537 + 19.2568i −1.29928 + 0.750137i −0.980279 0.197618i \(-0.936679\pi\)
−0.318997 + 0.947756i \(0.603346\pi\)
\(660\) 2.09192 1.49918i 0.0814279 0.0583555i
\(661\) 14.9963 8.65809i 0.583287 0.336761i −0.179152 0.983821i \(-0.557335\pi\)
0.762438 + 0.647061i \(0.224002\pi\)
\(662\) −3.73862 2.15849i −0.145305 0.0838921i
\(663\) −3.51917 + 4.83968i −0.136673 + 0.187958i
\(664\) 19.5690i 0.759424i
\(665\) 9.02463 2.00673i 0.349960 0.0778175i
\(666\) −3.13038 + 2.74573i −0.121300 + 0.106395i
\(667\) 21.5214 37.2762i 0.833314 1.44334i
\(668\) −5.57771 + 9.66088i −0.215808 + 0.373791i
\(669\) 39.1211 28.0362i 1.51251 1.08394i
\(670\) −12.3122 7.10847i −0.475663 0.274624i
\(671\) −2.23064 −0.0861129
\(672\) −5.50615 + 26.2734i −0.212404 + 1.01352i
\(673\) 2.57882 4.46665i 0.0994064 0.172177i −0.812033 0.583612i \(-0.801639\pi\)
0.911439 + 0.411435i \(0.134972\pi\)
\(674\) 1.90034i 0.0731985i
\(675\) −2.01036 + 8.62679i −0.0773789 + 0.332045i
\(676\) 16.7800 + 7.22670i 0.645386 + 0.277950i
\(677\) −5.51366 9.54995i −0.211907 0.367034i 0.740404 0.672162i \(-0.234634\pi\)
−0.952311 + 0.305128i \(0.901301\pi\)
\(678\) −20.6662 + 2.03630i −0.793680 + 0.0782037i
\(679\) −16.3070 17.7733i −0.625806 0.682078i
\(680\) −3.95560 + 2.28377i −0.151690 + 0.0875785i
\(681\) −14.4443 + 31.8827i −0.553506 + 1.22175i
\(682\) 1.47063i 0.0563135i
\(683\) 36.2719i 1.38791i 0.720020 + 0.693954i \(0.244133\pi\)
−0.720020 + 0.693954i \(0.755867\pi\)
\(684\) 1.58397 + 7.95972i 0.0605646 + 0.304348i
\(685\) −21.7303 + 12.5460i −0.830271 + 0.479357i
\(686\) 11.3134 8.71539i 0.431949 0.332755i
\(687\) 4.11592 + 41.7720i 0.157032 + 1.59370i
\(688\) −0.288839 0.500284i −0.0110119 0.0190731i
\(689\) 15.8265 + 14.0762i 0.602941 + 0.536260i
\(690\) 21.0675 2.07584i 0.802025 0.0790259i
\(691\) 22.8502i 0.869263i −0.900608 0.434632i \(-0.856879\pi\)
0.900608 0.434632i \(-0.143121\pi\)
\(692\) 13.1138 22.7138i 0.498513 0.863449i
\(693\) 0.499986 4.59579i 0.0189929 0.174580i
\(694\) 19.8473 0.753394
\(695\) 11.0168 + 6.36056i 0.417891 + 0.241270i
\(696\) 13.0606 + 18.2245i 0.495061 + 0.690796i
\(697\) −1.65852 + 2.87263i −0.0628208 + 0.108809i
\(698\) −7.30237 + 12.6481i −0.276399 + 0.478737i
\(699\) −0.335304 3.40296i −0.0126824 0.128712i
\(700\) 6.04648 + 1.90223i 0.228535 + 0.0718974i
\(701\) 27.8049i 1.05018i 0.851047 + 0.525089i \(0.175968\pi\)
−0.851047 + 0.525089i \(0.824032\pi\)
\(702\) 1.31737 + 14.3866i 0.0497210 + 0.542986i
\(703\) 3.00061 + 1.73240i 0.113170 + 0.0653389i
\(704\) −1.48560 + 0.857711i −0.0559906 + 0.0323262i
\(705\) −12.7914 17.8488i −0.481751 0.672225i
\(706\) 19.6702 11.3566i 0.740296 0.427410i
\(707\) −8.30374 + 7.61868i −0.312294 + 0.286530i
\(708\) 7.69136 16.9770i 0.289059 0.638037i
\(709\) −12.4442 + 21.5540i −0.467351 + 0.809476i −0.999304 0.0372977i \(-0.988125\pi\)
0.531953 + 0.846774i \(0.321458\pi\)
\(710\) −7.86385 + 13.6206i −0.295125 + 0.511171i
\(711\) 12.2531 36.1062i 0.459526 1.35409i
\(712\) 18.5628i 0.695672i
\(713\) −14.2955 + 24.7605i −0.535370 + 0.927289i
\(714\) −0.694507 + 3.31394i −0.0259913 + 0.124021i
\(715\) −2.84846 2.53344i −0.106526 0.0947454i
\(716\) 14.5679 8.41078i 0.544428 0.314325i
\(717\) −24.0817 10.9101i −0.899349 0.407445i
\(718\) 6.77608 + 11.7365i 0.252881 + 0.438003i
\(719\) −5.75338 + 9.96515i −0.214565 + 0.371638i −0.953138 0.302536i \(-0.902167\pi\)
0.738573 + 0.674174i \(0.235500\pi\)
\(720\) 1.37539 4.05287i 0.0512579 0.151042i
\(721\) −3.06054 3.33574i −0.113981 0.124230i
\(722\) 10.2138 5.89694i 0.380118 0.219461i
\(723\) 12.1934 + 5.52415i 0.453477 + 0.205445i
\(724\) 36.1778i 1.34454i
\(725\) 7.27773 4.20180i 0.270288 0.156051i
\(726\) −11.5734 + 8.29412i −0.429530 + 0.307823i
\(727\) 18.2661i 0.677452i 0.940885 + 0.338726i \(0.109996\pi\)
−0.940885 + 0.338726i \(0.890004\pi\)
\(728\) 25.0468 0.387462i 0.928296 0.0143603i
\(729\) 22.4460 15.0059i 0.831332 0.555776i
\(730\) 11.8102 0.437114
\(731\) −0.352162 0.609963i −0.0130252 0.0225603i
\(732\) −7.57770 + 5.43057i −0.280080 + 0.200720i
\(733\) −10.3435 + 5.97185i −0.382048 + 0.220575i −0.678709 0.734408i \(-0.737460\pi\)
0.296661 + 0.954983i \(0.404127\pi\)
\(734\) 0.288226 + 0.499222i 0.0106386 + 0.0184266i
\(735\) −18.9247 + 11.2367i −0.698048 + 0.414472i
\(736\) 51.1477 1.88533
\(737\) 5.12293 + 2.95773i 0.188706 + 0.108949i
\(738\) 1.56297 + 7.85421i 0.0575338 + 0.289117i
\(739\) −7.76677 13.4524i −0.285705 0.494856i 0.687075 0.726587i \(-0.258895\pi\)
−0.972780 + 0.231731i \(0.925561\pi\)
\(740\) −2.29604 3.97685i −0.0844040 0.146192i
\(741\) 10.9838 4.88508i 0.403500 0.179458i
\(742\) 11.4324 + 3.59665i 0.419697 + 0.132037i
\(743\) 22.7023 + 13.1072i 0.832868 + 0.480856i 0.854833 0.518902i \(-0.173659\pi\)
−0.0219659 + 0.999759i \(0.506993\pi\)
\(744\) −8.67543 12.1055i −0.318057 0.443809i
\(745\) 41.7936i 1.53120i
\(746\) −20.5528 11.8662i −0.752492 0.434451i
\(747\) 14.7421 + 16.8074i 0.539387 + 0.614950i
\(748\) 0.679242 0.392160i 0.0248355 0.0143388i
\(749\) −47.3464 + 10.5280i −1.73000 + 0.384685i
\(750\) 14.8069 + 6.70821i 0.540673 + 0.244949i
\(751\) −2.26015 −0.0824740 −0.0412370 0.999149i \(-0.513130\pi\)
−0.0412370 + 0.999149i \(0.513130\pi\)
\(752\) −2.74436 4.75337i −0.100076 0.173337i
\(753\) 11.0265 1.08647i 0.401827 0.0395932i
\(754\) 9.10857 10.2412i 0.331715 0.372962i
\(755\) 24.0736 0.876130
\(756\) −9.49012 16.8296i −0.345152 0.612086i
\(757\) 17.0033 29.4506i 0.617995 1.07040i −0.371856 0.928291i \(-0.621278\pi\)
0.989851 0.142109i \(-0.0453883\pi\)
\(758\) 5.58818 + 3.22634i 0.202972 + 0.117186i
\(759\) −8.76586 + 0.863726i −0.318180 + 0.0313513i
\(760\) 9.17579 0.332841
\(761\) 18.7506 32.4771i 0.679710 1.17729i −0.295358 0.955387i \(-0.595439\pi\)
0.975068 0.221906i \(-0.0712278\pi\)
\(762\) 7.30245 5.23332i 0.264540 0.189583i
\(763\) 38.8205 + 12.2130i 1.40539 + 0.442138i
\(764\) 10.7659 + 6.21571i 0.389497 + 0.224876i
\(765\) 1.67693 4.94140i 0.0606294 0.178657i
\(766\) −11.8742 6.85557i −0.429032 0.247702i
\(767\) −27.0380 5.57475i −0.976286 0.201293i
\(768\) −9.41587 + 20.7835i −0.339766 + 0.749962i
\(769\) 20.8816 + 12.0560i 0.753009 + 0.434750i 0.826780 0.562525i \(-0.190170\pi\)
−0.0737708 + 0.997275i \(0.523503\pi\)
\(770\) −2.05761 0.647327i −0.0741513 0.0233281i
\(771\) −8.50655 + 18.7764i −0.306356 + 0.676216i
\(772\) 6.79980 + 11.7776i 0.244730 + 0.423885i
\(773\) 32.9692 1.18582 0.592911 0.805268i