Properties

Label 403.2.bs.a.4.1
Level 403
Weight 2
Character 403.4
Analytic conductor 3.218
Analytic rank 0
Dimension 288
CM No

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Newspace parameters

Level: \( N \) = \( 403 = 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 403.bs (of order \(30\) and degree \(8\))

Newform invariants

Self dual: No
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(288\)
Relative dimension: \(36\) over \(\Q(\zeta_{30})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 4.1
Character \(\chi\) = 403.4
Dual form 403.2.bs.a.101.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.552779 + 2.60062i) q^{2} +(-0.533122 - 0.592092i) q^{3} +(-4.63058 - 2.06167i) q^{4} +1.27621i q^{5} +(1.83451 - 1.05915i) q^{6} +(1.08933 - 2.44667i) q^{7} +(4.79578 - 6.60083i) q^{8} +(0.247231 - 2.35225i) q^{9} +O(q^{10})\) \(q+(-0.552779 + 2.60062i) q^{2} +(-0.533122 - 0.592092i) q^{3} +(-4.63058 - 2.06167i) q^{4} +1.27621i q^{5} +(1.83451 - 1.05915i) q^{6} +(1.08933 - 2.44667i) q^{7} +(4.79578 - 6.60083i) q^{8} +(0.247231 - 2.35225i) q^{9} +(-3.31895 - 0.705465i) q^{10} +(3.49504 - 0.367344i) q^{11} +(1.24797 + 3.84085i) q^{12} +(1.56986 + 3.24585i) q^{13} +(5.76071 + 4.18540i) q^{14} +(0.755637 - 0.680379i) q^{15} +(7.73187 + 8.58711i) q^{16} +(0.199272 - 1.89595i) q^{17} +(5.98065 + 1.94323i) q^{18} +(-5.36951 - 4.83473i) q^{19} +(2.63113 - 5.90961i) q^{20} +(-2.02940 + 0.659393i) q^{21} +(-0.976665 + 9.29234i) q^{22} +(1.11587 - 0.496819i) q^{23} +(-6.46504 + 0.679503i) q^{24} +3.37128 q^{25} +(-9.30901 + 2.28836i) q^{26} +(-3.45828 + 2.51259i) q^{27} +(-10.0884 + 9.08368i) q^{28} +(7.55659 + 1.60620i) q^{29} +(1.35171 + 2.34122i) q^{30} +(-0.591685 + 5.53624i) q^{31} +(-12.4739 + 7.20182i) q^{32} +(-2.08079 - 1.87355i) q^{33} +(4.82049 + 1.56627i) q^{34} +(3.12248 + 1.39022i) q^{35} +(-5.99438 + 10.3826i) q^{36} +(1.22783 + 0.708889i) q^{37} +(15.5415 - 11.2915i) q^{38} +(1.08492 - 2.65993i) q^{39} +(8.42407 + 6.12045i) q^{40} +(1.94528 - 9.15182i) q^{41} +(-0.593020 - 5.64221i) q^{42} +(3.12375 - 3.46927i) q^{43} +(-16.9414 - 5.50459i) q^{44} +(3.00198 + 0.315521i) q^{45} +(0.675207 + 3.17660i) q^{46} +(-6.40187 - 2.08009i) q^{47} +(0.962330 - 9.15596i) q^{48} +(-0.115661 - 0.128455i) q^{49} +(-1.86357 + 8.76741i) q^{50} +(-1.22881 + 0.892785i) q^{51} +(-0.577473 - 18.2667i) q^{52} +(8.26542 + 6.00518i) q^{53} +(-4.62262 - 10.3826i) q^{54} +(0.468810 + 4.46043i) q^{55} +(-10.9259 - 18.9242i) q^{56} +5.75675i q^{57} +(-8.35425 + 18.7640i) q^{58} +(-2.28289 - 10.7401i) q^{59} +(-4.90175 + 1.59267i) q^{60} +(0.704718 + 1.22061i) q^{61} +(-14.0706 - 4.59907i) q^{62} +(-5.48587 - 3.16727i) q^{63} +(-4.69244 - 14.4419i) q^{64} +(-4.14240 + 2.00347i) q^{65} +(6.02261 - 4.37568i) q^{66} +(4.08413 + 2.35797i) q^{67} +(-4.83156 + 8.36850i) q^{68} +(-0.889061 - 0.395835i) q^{69} +(-5.34147 + 7.35191i) q^{70} +(9.68870 + 1.01832i) q^{71} +(-14.3411 - 12.9128i) q^{72} +(-2.95416 - 4.06605i) q^{73} +(-2.52227 + 2.80127i) q^{74} +(-1.79730 - 1.99611i) q^{75} +(14.8963 + 33.4577i) q^{76} +(2.90848 - 8.95139i) q^{77} +(6.31776 + 4.29182i) q^{78} +(-10.4568 - 7.59728i) q^{79} +(-10.9590 + 9.86753i) q^{80} +(-3.60920 - 0.767158i) q^{81} +(22.7251 + 10.1179i) q^{82} +(8.06441 - 2.62029i) q^{83} +(10.7567 + 1.13058i) q^{84} +(2.41964 + 0.254314i) q^{85} +(7.29552 + 10.0414i) q^{86} +(-3.07757 - 5.33050i) q^{87} +(14.3367 - 24.8319i) q^{88} +(-10.6295 + 1.11721i) q^{89} +(-2.47998 + 7.63259i) q^{90} +(9.65163 - 0.305121i) q^{91} -6.19142 q^{92} +(3.59340 - 2.60116i) q^{93} +(8.94835 - 15.4990i) q^{94} +(6.17015 - 6.85265i) q^{95} +(10.9143 + 3.54626i) q^{96} +(-0.586561 + 1.31744i) q^{97} +(0.397998 - 0.229784i) q^{98} -8.31204i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 288q - 9q^{2} - q^{3} - 39q^{4} - 42q^{6} - 15q^{7} + 31q^{9} + O(q^{10}) \) \( 288q - 9q^{2} - q^{3} - 39q^{4} - 42q^{6} - 15q^{7} + 31q^{9} + 3q^{10} - 18q^{11} - 46q^{12} - q^{13} - 32q^{14} + 18q^{15} + 21q^{16} - 15q^{17} - 15q^{19} + 51q^{20} - 10q^{22} - 4q^{23} - 51q^{24} - 296q^{25} - 6q^{26} - 52q^{27} + 21q^{28} + q^{29} + 60q^{30} + 138q^{32} + 69q^{33} - 10q^{35} + 128q^{36} - 18q^{37} + 32q^{38} - 14q^{39} + 60q^{40} - 15q^{41} - 49q^{42} - 36q^{43} + 6q^{45} - 69q^{46} + 21q^{48} - 23q^{49} + 117q^{50} + 8q^{51} + 26q^{52} - 48q^{53} + 75q^{54} + 46q^{55} - 98q^{56} - 21q^{58} - 105q^{59} - 74q^{61} - 3q^{62} - 90q^{63} + 90q^{64} + 89q^{65} - 8q^{66} + 6q^{67} - 182q^{68} + 29q^{69} + 3q^{71} - 183q^{72} - 53q^{74} - 38q^{75} + 144q^{76} - 128q^{78} - 72q^{79} - 72q^{80} + 11q^{81} - 11q^{82} - 33q^{84} + 72q^{85} - 18q^{87} - 14q^{88} + 81q^{89} - 34q^{90} - 48q^{91} + 8q^{92} + 72q^{93} - 6q^{94} + 141q^{97} + 96q^{98} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.552779 + 2.60062i −0.390874 + 1.83892i 0.138283 + 0.990393i \(0.455842\pi\)
−0.529157 + 0.848524i \(0.677492\pi\)
\(3\) −0.533122 0.592092i −0.307798 0.341845i 0.569323 0.822114i \(-0.307206\pi\)
−0.877121 + 0.480270i \(0.840539\pi\)
\(4\) −4.63058 2.06167i −2.31529 1.03083i
\(5\) 1.27621i 0.570741i 0.958417 + 0.285370i \(0.0921166\pi\)
−0.958417 + 0.285370i \(0.907883\pi\)
\(6\) 1.83451 1.05915i 0.748934 0.432397i
\(7\) 1.08933 2.44667i 0.411728 0.924756i −0.582027 0.813170i \(-0.697740\pi\)
0.993755 0.111586i \(-0.0355932\pi\)
\(8\) 4.79578 6.60083i 1.69556 2.33374i
\(9\) 0.247231 2.35225i 0.0824105 0.784084i
\(10\) −3.31895 0.705465i −1.04954 0.223088i
\(11\) 3.49504 0.367344i 1.05380 0.110758i 0.438245 0.898856i \(-0.355600\pi\)
0.615551 + 0.788097i \(0.288934\pi\)
\(12\) 1.24797 + 3.84085i 0.360257 + 1.10876i
\(13\) 1.56986 + 3.24585i 0.435399 + 0.900237i
\(14\) 5.76071 + 4.18540i 1.53962 + 1.11860i
\(15\) 0.755637 0.680379i 0.195105 0.175673i
\(16\) 7.73187 + 8.58711i 1.93297 + 2.14678i
\(17\) 0.199272 1.89595i 0.0483306 0.459835i −0.943415 0.331614i \(-0.892407\pi\)
0.991746 0.128221i \(-0.0409266\pi\)
\(18\) 5.98065 + 1.94323i 1.40965 + 0.458024i
\(19\) −5.36951 4.83473i −1.23185 1.10916i −0.990325 0.138768i \(-0.955686\pi\)
−0.241525 0.970394i \(-0.577648\pi\)
\(20\) 2.63113 5.90961i 0.588338 1.32143i
\(21\) −2.02940 + 0.659393i −0.442852 + 0.143891i
\(22\) −0.976665 + 9.29234i −0.208226 + 1.98113i
\(23\) 1.11587 0.496819i 0.232676 0.103594i −0.287087 0.957904i \(-0.592687\pi\)
0.519763 + 0.854310i \(0.326020\pi\)
\(24\) −6.46504 + 0.679503i −1.31967 + 0.138703i
\(25\) 3.37128 0.674255
\(26\) −9.30901 + 2.28836i −1.82565 + 0.448784i
\(27\) −3.45828 + 2.51259i −0.665546 + 0.483548i
\(28\) −10.0884 + 9.08368i −1.90654 + 1.71665i
\(29\) 7.55659 + 1.60620i 1.40322 + 0.298264i 0.846480 0.532420i \(-0.178717\pi\)
0.556744 + 0.830684i \(0.312051\pi\)
\(30\) 1.35171 + 2.34122i 0.246787 + 0.427447i
\(31\) −0.591685 + 5.53624i −0.106270 + 0.994337i
\(32\) −12.4739 + 7.20182i −2.20510 + 1.27311i
\(33\) −2.08079 1.87355i −0.362218 0.326143i
\(34\) 4.82049 + 1.56627i 0.826707 + 0.268614i
\(35\) 3.12248 + 1.39022i 0.527796 + 0.234990i
\(36\) −5.99438 + 10.3826i −0.999063 + 1.73043i
\(37\) 1.22783 + 0.708889i 0.201854 + 0.116541i 0.597520 0.801854i \(-0.296153\pi\)
−0.395666 + 0.918395i \(0.629486\pi\)
\(38\) 15.5415 11.2915i 2.52116 1.83173i
\(39\) 1.08492 2.65993i 0.173726 0.425930i
\(40\) 8.42407 + 6.12045i 1.33196 + 0.967728i
\(41\) 1.94528 9.15182i 0.303802 1.42927i −0.515982 0.856600i \(-0.672573\pi\)
0.819783 0.572674i \(-0.194094\pi\)
\(42\) −0.593020 5.64221i −0.0915049 0.870611i
\(43\) 3.12375 3.46927i 0.476367 0.529059i −0.456286 0.889833i \(-0.650821\pi\)
0.932653 + 0.360774i \(0.117487\pi\)
\(44\) −16.9414 5.50459i −2.55401 0.829849i
\(45\) 3.00198 + 0.315521i 0.447508 + 0.0470350i
\(46\) 0.675207 + 3.17660i 0.0995538 + 0.468364i
\(47\) −6.40187 2.08009i −0.933808 0.303413i −0.197689 0.980265i \(-0.563344\pi\)
−0.736119 + 0.676852i \(0.763344\pi\)
\(48\) 0.962330 9.15596i 0.138900 1.32155i
\(49\) −0.115661 0.128455i −0.0165231 0.0183507i
\(50\) −1.86357 + 8.76741i −0.263549 + 1.23990i
\(51\) −1.22881 + 0.892785i −0.172068 + 0.125015i
\(52\) −0.577473 18.2667i −0.0800810 2.53313i
\(53\) 8.26542 + 6.00518i 1.13534 + 0.824875i 0.986464 0.163981i \(-0.0524336\pi\)
0.148879 + 0.988855i \(0.452434\pi\)
\(54\) −4.62262 10.3826i −0.629059 1.41289i
\(55\) 0.468810 + 4.46043i 0.0632143 + 0.601444i
\(56\) −10.9259 18.9242i −1.46003 2.52885i
\(57\) 5.75675i 0.762500i
\(58\) −8.35425 + 18.7640i −1.09697 + 2.46383i
\(59\) −2.28289 10.7401i −0.297207 1.39825i −0.832708 0.553712i \(-0.813211\pi\)
0.535501 0.844534i \(-0.320123\pi\)
\(60\) −4.90175 + 1.59267i −0.632813 + 0.205613i
\(61\) 0.704718 + 1.22061i 0.0902299 + 0.156283i 0.907608 0.419819i \(-0.137906\pi\)
−0.817378 + 0.576102i \(0.804573\pi\)
\(62\) −14.0706 4.59907i −1.78697 0.584082i
\(63\) −5.48587 3.16727i −0.691155 0.399039i
\(64\) −4.69244 14.4419i −0.586555 1.80523i
\(65\) −4.14240 + 2.00347i −0.513802 + 0.248500i
\(66\) 6.02261 4.37568i 0.741332 0.538609i
\(67\) 4.08413 + 2.35797i 0.498956 + 0.288072i 0.728282 0.685277i \(-0.240319\pi\)
−0.229327 + 0.973350i \(0.573652\pi\)
\(68\) −4.83156 + 8.36850i −0.585912 + 1.01483i
\(69\) −0.889061 0.395835i −0.107030 0.0476530i
\(70\) −5.34147 + 7.35191i −0.638428 + 0.878721i
\(71\) 9.68870 + 1.01832i 1.14984 + 0.120853i 0.660211 0.751080i \(-0.270467\pi\)
0.489626 + 0.871933i \(0.337133\pi\)
\(72\) −14.3411 12.9128i −1.69012 1.52179i
\(73\) −2.95416 4.06605i −0.345758 0.475896i 0.600354 0.799734i \(-0.295026\pi\)
−0.946112 + 0.323839i \(0.895026\pi\)
\(74\) −2.52227 + 2.80127i −0.293208 + 0.325641i
\(75\) −1.79730 1.99611i −0.207535 0.230490i
\(76\) 14.8963 + 33.4577i 1.70873 + 3.83786i
\(77\) 2.90848 8.95139i 0.331452 1.02011i
\(78\) 6.31776 + 4.29182i 0.715346 + 0.485953i
\(79\) −10.4568 7.59728i −1.17648 0.854761i −0.184707 0.982794i \(-0.559134\pi\)
−0.991770 + 0.128033i \(0.959134\pi\)
\(80\) −10.9590 + 9.86753i −1.22525 + 1.10322i
\(81\) −3.60920 0.767158i −0.401022 0.0852398i
\(82\) 22.7251 + 10.1179i 2.50957 + 1.11733i
\(83\) 8.06441 2.62029i 0.885184 0.287614i 0.169076 0.985603i \(-0.445922\pi\)
0.716108 + 0.697989i \(0.245922\pi\)
\(84\) 10.7567 + 1.13058i 1.17366 + 0.123356i
\(85\) 2.41964 + 0.254314i 0.262447 + 0.0275842i
\(86\) 7.29552 + 10.0414i 0.786696 + 1.08279i
\(87\) −3.07757 5.33050i −0.329950 0.571490i
\(88\) 14.3367 24.8319i 1.52830 2.64709i
\(89\) −10.6295 + 1.11721i −1.12673 + 0.118424i −0.649504 0.760359i \(-0.725023\pi\)
−0.477223 + 0.878782i \(0.658357\pi\)
\(90\) −2.47998 + 7.63259i −0.261413 + 0.804546i
\(91\) 9.65163 0.305121i 1.01177 0.0319854i
\(92\) −6.19142 −0.645500
\(93\) 3.59340 2.60116i 0.372619 0.269728i
\(94\) 8.94835 15.4990i 0.922952 1.59860i
\(95\) 6.17015 6.85265i 0.633044 0.703067i
\(96\) 10.9143 + 3.54626i 1.11393 + 0.361939i
\(97\) −0.586561 + 1.31744i −0.0595563 + 0.133766i −0.940872 0.338762i \(-0.889992\pi\)
0.881316 + 0.472528i \(0.156658\pi\)
\(98\) 0.397998 0.229784i 0.0402039 0.0232117i
\(99\) 8.31204i 0.835391i
\(100\) −15.6109 6.95044i −1.56109 0.695044i
\(101\) −3.93860 + 1.75358i −0.391905 + 0.174487i −0.593222 0.805039i \(-0.702144\pi\)
0.201317 + 0.979526i \(0.435478\pi\)
\(102\) −1.64253 3.68919i −0.162635 0.365284i
\(103\) 4.70414 + 14.4779i 0.463513 + 1.42655i 0.860843 + 0.508870i \(0.169937\pi\)
−0.397331 + 0.917676i \(0.630063\pi\)
\(104\) 28.9540 + 5.20406i 2.83917 + 0.510300i
\(105\) −0.841527 2.58995i −0.0821246 0.252754i
\(106\) −20.1861 + 18.1757i −1.96065 + 1.76538i
\(107\) 10.0202 4.46130i 0.968694 0.431290i 0.139482 0.990225i \(-0.455456\pi\)
0.829212 + 0.558934i \(0.188790\pi\)
\(108\) 21.1939 4.50491i 2.03939 0.433485i
\(109\) 5.74172 + 1.86560i 0.549957 + 0.178692i 0.570798 0.821091i \(-0.306634\pi\)
−0.0208402 + 0.999783i \(0.506634\pi\)
\(110\) −11.8590 1.24643i −1.13071 0.118843i
\(111\) −0.234857 1.10491i −0.0222916 0.104874i
\(112\) 29.4324 9.56317i 2.78110 0.903635i
\(113\) −6.88980 3.06754i −0.648138 0.288570i 0.0562158 0.998419i \(-0.482097\pi\)
−0.704354 + 0.709849i \(0.748763\pi\)
\(114\) −14.9711 3.18221i −1.40217 0.298041i
\(115\) 0.634048 + 1.42410i 0.0591253 + 0.132798i
\(116\) −31.6799 23.0168i −2.94141 2.13706i
\(117\) 8.02317 2.89022i 0.741743 0.267201i
\(118\) 29.1930 2.68743
\(119\) −4.42170 2.55287i −0.405336 0.234021i
\(120\) −0.867192 8.25078i −0.0791634 0.753189i
\(121\) 1.32076 0.280737i 0.120069 0.0255215i
\(122\) −3.56389 + 1.15798i −0.322660 + 0.104838i
\(123\) −6.45579 + 3.72725i −0.582099 + 0.336075i
\(124\) 14.1537 24.4161i 1.27104 2.19263i
\(125\) 10.6835i 0.955565i
\(126\) 11.2693 12.5159i 1.00395 1.11500i
\(127\) −2.60789 2.89635i −0.231413 0.257010i 0.616244 0.787556i \(-0.288654\pi\)
−0.847656 + 0.530546i \(0.821987\pi\)
\(128\) 11.5022 1.20893i 1.01666 0.106855i
\(129\) −3.71947 −0.327481
\(130\) −2.92044 11.8803i −0.256139 1.04197i
\(131\) 0.212137 0.154127i 0.0185345 0.0134661i −0.578479 0.815697i \(-0.696354\pi\)
0.597014 + 0.802231i \(0.296354\pi\)
\(132\) 5.77261 + 12.9655i 0.502441 + 1.12850i
\(133\) −17.6782 + 7.87083i −1.53289 + 0.682488i
\(134\) −8.38981 + 9.31783i −0.724769 + 0.804938i
\(135\) −3.20660 4.41351i −0.275980 0.379854i
\(136\) −11.5592 10.4079i −0.991190 0.892472i
\(137\) 3.89807 + 18.3390i 0.333035 + 1.56680i 0.752225 + 0.658906i \(0.228981\pi\)
−0.419191 + 0.907898i \(0.637686\pi\)
\(138\) 1.52087 2.09330i 0.129465 0.178194i
\(139\) −1.30692 + 0.277795i −0.110852 + 0.0235623i −0.263003 0.964795i \(-0.584713\pi\)
0.152152 + 0.988357i \(0.451380\pi\)
\(140\) −11.5927 12.8750i −0.979764 1.08814i
\(141\) 2.18137 + 4.89944i 0.183705 + 0.412607i
\(142\) −8.00398 + 24.6337i −0.671679 + 2.06722i
\(143\) 6.67905 + 10.7677i 0.558531 + 0.900442i
\(144\) 22.1106 16.0643i 1.84255 1.33869i
\(145\) −2.04986 + 9.64384i −0.170232 + 0.800877i
\(146\) 12.2073 5.43502i 1.01028 0.449806i
\(147\) −0.0143955 + 0.136964i −0.00118732 + 0.0112966i
\(148\) −4.22408 5.81395i −0.347217 0.477903i
\(149\) −18.1679 + 10.4892i −1.48837 + 0.859311i −0.999912 0.0132760i \(-0.995774\pi\)
−0.488459 + 0.872587i \(0.662441\pi\)
\(150\) 6.18463 3.57070i 0.504973 0.291546i
\(151\) −4.57037 6.29058i −0.371932 0.511920i 0.581493 0.813552i \(-0.302469\pi\)
−0.953425 + 0.301631i \(0.902469\pi\)
\(152\) −57.6642 + 12.2569i −4.67719 + 0.994166i
\(153\) −4.41048 0.937477i −0.356566 0.0757905i
\(154\) 21.6714 + 12.5120i 1.74633 + 1.00825i
\(155\) −7.06543 0.755118i −0.567509 0.0606525i
\(156\) −10.5077 + 10.0803i −0.841289 + 0.807069i
\(157\) −2.29671 7.06855i −0.183298 0.564132i 0.816617 0.577180i \(-0.195847\pi\)
−0.999915 + 0.0130475i \(0.995847\pi\)
\(158\) 25.5379 22.9944i 2.03169 1.82934i
\(159\) −0.850859 8.09538i −0.0674775 0.642006i
\(160\) −9.19107 15.9194i −0.726618 1.25854i
\(161\) 3.27138i 0.257821i
\(162\) 3.99018 8.96209i 0.313498 0.704128i
\(163\) −14.8066 1.55624i −1.15974 0.121894i −0.494950 0.868921i \(-0.664814\pi\)
−0.664794 + 0.747027i \(0.731480\pi\)
\(164\) −27.8757 + 38.3677i −2.17673 + 2.99601i
\(165\) 2.39105 2.65553i 0.186143 0.206733i
\(166\) 2.35653 + 22.4209i 0.182902 + 1.74020i
\(167\) 4.23127 19.9066i 0.327426 1.54042i −0.439240 0.898370i \(-0.644752\pi\)
0.766666 0.642047i \(-0.221914\pi\)
\(168\) −5.38003 + 16.5580i −0.415079 + 1.27748i
\(169\) −8.07111 + 10.1910i −0.620855 + 0.783926i
\(170\) −1.99890 + 6.15198i −0.153309 + 0.471836i
\(171\) −12.7000 + 11.4351i −0.971194 + 0.874467i
\(172\) −21.6172 + 9.62461i −1.64830 + 0.733869i
\(173\) −2.54610 + 0.541191i −0.193577 + 0.0411460i −0.303680 0.952774i \(-0.598215\pi\)
0.110103 + 0.993920i \(0.464882\pi\)
\(174\) 15.5638 5.05700i 1.17989 0.383370i
\(175\) 3.67243 8.24841i 0.277610 0.623521i
\(176\) 30.1776 + 27.1721i 2.27473 + 2.04817i
\(177\) −5.14209 + 7.07749i −0.386503 + 0.531976i
\(178\) 2.97034 28.2609i 0.222637 2.11825i
\(179\) −1.37676 13.0990i −0.102904 0.979066i −0.917149 0.398545i \(-0.869515\pi\)
0.814245 0.580522i \(-0.197151\pi\)
\(180\) −13.2504 7.65011i −0.987625 0.570206i
\(181\) 3.47895 0.258588 0.129294 0.991606i \(-0.458729\pi\)
0.129294 + 0.991606i \(0.458729\pi\)
\(182\) −4.54172 + 25.2689i −0.336654 + 1.87306i
\(183\) 0.347011 1.06799i 0.0256518 0.0789482i
\(184\) 2.07207 9.74833i 0.152755 0.718657i
\(185\) −0.904695 + 1.56698i −0.0665145 + 0.115207i
\(186\) 4.77827 + 10.7829i 0.350360 + 0.790644i
\(187\) 6.69962i 0.489925i
\(188\) 25.3559 + 22.8305i 1.84927 + 1.66509i
\(189\) 2.38028 + 11.1983i 0.173140 + 0.814558i
\(190\) 14.4104 + 19.8342i 1.04544 + 1.43893i
\(191\) 0.485158 + 0.840318i 0.0351048 + 0.0608033i 0.883044 0.469290i \(-0.155490\pi\)
−0.847939 + 0.530093i \(0.822157\pi\)
\(192\) −6.04926 + 10.4776i −0.436568 + 0.756158i
\(193\) 4.60755 0.484273i 0.331659 0.0348588i 0.0627644 0.998028i \(-0.480008\pi\)
0.268895 + 0.963170i \(0.413342\pi\)
\(194\) −3.10192 2.25368i −0.222705 0.161804i
\(195\) 3.39465 + 1.38459i 0.243096 + 0.0991526i
\(196\) 0.270748 + 0.833276i 0.0193391 + 0.0595197i
\(197\) −5.17863 + 0.544296i −0.368962 + 0.0387795i −0.287195 0.957872i \(-0.592723\pi\)
−0.0817667 + 0.996651i \(0.526056\pi\)
\(198\) 21.6165 + 4.59472i 1.53621 + 0.326533i
\(199\) −14.1761 + 3.01323i −1.00492 + 0.213602i −0.680843 0.732429i \(-0.738386\pi\)
−0.324075 + 0.946031i \(0.605053\pi\)
\(200\) 16.1679 22.2532i 1.14324 1.57354i
\(201\) −0.781202 3.67527i −0.0551018 0.259233i
\(202\) −2.38321 11.2121i −0.167682 0.788883i
\(203\) 12.1615 16.7388i 0.853568 1.17484i
\(204\) 7.53073 1.60071i 0.527257 0.112072i
\(205\) 11.6797 + 2.48259i 0.815745 + 0.173392i
\(206\) −40.2518 + 4.23063i −2.80447 + 0.294762i
\(207\) −0.892764 2.74765i −0.0620514 0.190975i
\(208\) −15.7346 + 38.5770i −1.09100 + 2.67484i
\(209\) −20.5427 14.9251i −1.42097 1.03239i
\(210\) 7.20067 0.756821i 0.496893 0.0522256i
\(211\) −10.0836 + 17.4654i −0.694186 + 1.20237i 0.276268 + 0.961081i \(0.410902\pi\)
−0.970454 + 0.241285i \(0.922431\pi\)
\(212\) −25.8930 44.8479i −1.77834 3.08017i
\(213\) −4.56232 6.27950i −0.312605 0.430264i
\(214\) 6.06317 + 28.5250i 0.414470 + 1.94993i
\(215\) 4.42754 + 3.98657i 0.301955 + 0.271882i
\(216\) 34.8773i 2.37310i
\(217\) 12.9008 + 7.47845i 0.875765 + 0.507670i
\(218\) −8.02562 + 13.9008i −0.543564 + 0.941480i
\(219\) −0.832550 + 3.91684i −0.0562585 + 0.264675i
\(220\) 7.02505 21.6209i 0.473629 1.45768i
\(221\) 6.46680 2.32956i 0.435004 0.156703i
\(222\) 3.00329 0.201568
\(223\) −7.32308 4.22798i −0.490390 0.283127i 0.234346 0.972153i \(-0.424705\pi\)
−0.724736 + 0.689026i \(0.758038\pi\)
\(224\) 4.03230 + 38.3648i 0.269419 + 2.56335i
\(225\) 0.833485 7.93008i 0.0555657 0.528672i
\(226\) 11.7860 16.2221i 0.783996 1.07908i
\(227\) 12.8863 + 11.6029i 0.855293 + 0.770109i 0.974884 0.222714i \(-0.0714916\pi\)
−0.119591 + 0.992823i \(0.538158\pi\)
\(228\) 11.8685 26.6571i 0.786010 1.76541i
\(229\) −19.4020 + 6.30410i −1.28212 + 0.416586i −0.869327 0.494238i \(-0.835447\pi\)
−0.412794 + 0.910824i \(0.635447\pi\)
\(230\) −4.05402 + 0.861709i −0.267314 + 0.0568194i
\(231\) −6.85063 + 3.05010i −0.450738 + 0.200682i
\(232\) 46.8420 42.1768i 3.07533 2.76904i
\(233\) −5.66922 + 17.4481i −0.371403 + 1.14306i 0.574471 + 0.818525i \(0.305208\pi\)
−0.945873 + 0.324536i \(0.894792\pi\)
\(234\) 3.08131 + 22.4629i 0.201432 + 1.46845i
\(235\) 2.65465 8.17016i 0.173170 0.532962i
\(236\) −11.5715 + 54.4396i −0.753240 + 3.54371i
\(237\) 1.07644 + 10.2416i 0.0699223 + 0.665266i
\(238\) 9.08326 10.0880i 0.588780 0.653907i
\(239\) −10.2673 + 14.1317i −0.664135 + 0.914104i −0.999609 0.0279456i \(-0.991103\pi\)
0.335474 + 0.942049i \(0.391103\pi\)
\(240\) 11.6850 + 1.22814i 0.754262 + 0.0792761i
\(241\) −2.25248 + 5.05915i −0.145095 + 0.325888i −0.971444 0.237270i \(-0.923747\pi\)
0.826349 + 0.563159i \(0.190414\pi\)
\(242\) 3.58999i 0.230773i
\(243\) 7.88192 + 13.6519i 0.505625 + 0.875769i
\(244\) −0.746766 7.10501i −0.0478068 0.454852i
\(245\) 0.163936 0.147609i 0.0104735 0.00943038i
\(246\) −6.12455 18.8494i −0.390487 1.20179i
\(247\) 7.26346 25.0185i 0.462163 1.59189i
\(248\) 33.7061 + 30.4562i 2.14034 + 1.93397i
\(249\) −5.85077 3.37794i −0.370777 0.214068i
\(250\) −27.7839 5.90564i −1.75721 0.373506i
\(251\) 4.46643 0.949370i 0.281919 0.0599237i −0.0647821 0.997899i \(-0.520635\pi\)
0.346701 + 0.937976i \(0.387302\pi\)
\(252\) 18.8729 + 25.9763i 1.18888 + 1.63635i
\(253\) 3.71753 2.14631i 0.233719 0.134938i
\(254\) 8.97391 5.18109i 0.563073 0.325090i
\(255\) −1.13939 1.56823i −0.0713511 0.0982063i
\(256\) −0.0396635 + 0.377373i −0.00247897 + 0.0235858i
\(257\) 15.3599 6.83867i 0.958125 0.426585i 0.132738 0.991151i \(-0.457623\pi\)
0.825388 + 0.564566i \(0.190957\pi\)
\(258\) 2.05604 9.67293i 0.128004 0.602210i
\(259\) 3.07194 2.23189i 0.190881 0.138683i
\(260\) 23.3122 0.736979i 1.44576 0.0457055i
\(261\) 5.64642 17.3779i 0.349505 1.07566i
\(262\) 0.283560 + 0.636887i 0.0175184 + 0.0393470i
\(263\) 12.1713 + 13.5176i 0.750514 + 0.833531i 0.990538 0.137236i \(-0.0438220\pi\)
−0.240024 + 0.970767i \(0.577155\pi\)
\(264\) −22.3460 + 4.74978i −1.37530 + 0.292329i
\(265\) −7.66390 + 10.5484i −0.470789 + 0.647986i
\(266\) −10.6969 50.3251i −0.655870 3.08563i
\(267\) 6.32832 + 5.69805i 0.387287 + 0.348715i
\(268\) −14.0505 19.3389i −0.858272 1.18131i
\(269\) −1.80667 + 2.00652i −0.110155 + 0.122339i −0.795700 0.605690i \(-0.792897\pi\)
0.685546 + 0.728030i \(0.259564\pi\)
\(270\) 13.2504 5.89946i 0.806394 0.359030i
\(271\) 11.9718 + 26.8891i 0.727234 + 1.63339i 0.772972 + 0.634440i \(0.218769\pi\)
−0.0457383 + 0.998953i \(0.514564\pi\)
\(272\) 17.8215 12.9481i 1.08059 0.785091i
\(273\) −5.32616 5.55199i −0.322354 0.336022i
\(274\) −49.8475 −3.01140
\(275\) 11.7828 1.23842i 0.710527 0.0746794i
\(276\) 3.30078 + 3.66589i 0.198684 + 0.220661i
\(277\) 10.2041 11.3328i 0.613104 0.680921i −0.354016 0.935239i \(-0.615184\pi\)
0.967121 + 0.254318i \(0.0818510\pi\)
\(278\) 3.55237i 0.213057i
\(279\) 12.8763 + 2.76052i 0.770886 + 0.165268i
\(280\) 24.1513 13.9438i 1.44332 0.833300i
\(281\) −19.5685 + 6.35818i −1.16736 + 0.379297i −0.827655 0.561236i \(-0.810326\pi\)
−0.339701 + 0.940534i \(0.610326\pi\)
\(282\) −13.9474 + 2.96461i −0.830556 + 0.176540i
\(283\) −1.26808 12.0649i −0.0753793 0.717186i −0.965313 0.261096i \(-0.915916\pi\)
0.889934 0.456090i \(-0.150751\pi\)
\(284\) −42.7648 24.6903i −2.53762 1.46510i
\(285\) −7.34685 −0.435190
\(286\) −31.6948 + 11.4175i −1.87415 + 0.675132i
\(287\) −20.2725 14.7288i −1.19665 0.869414i
\(288\) 13.8565 + 31.1223i 0.816505 + 1.83390i
\(289\) 13.0736 + 2.77888i 0.769035 + 0.163463i
\(290\) −23.9468 10.6618i −1.40621 0.626084i
\(291\) 1.09275 0.355057i 0.0640584 0.0208138i
\(292\) 5.29662 + 24.9187i 0.309961 + 1.45825i
\(293\) 9.23271 + 0.970397i 0.539380 + 0.0566912i 0.370302 0.928911i \(-0.379254\pi\)
0.169078 + 0.985603i \(0.445921\pi\)
\(294\) −0.348235 0.113148i −0.0203095 0.00659895i
\(295\) 13.7067 2.91345i 0.798036 0.169628i
\(296\) 10.5677 4.70503i 0.614234 0.273474i
\(297\) −11.1639 + 10.0520i −0.647792 + 0.583275i
\(298\) −17.2357 53.0460i −0.998437 3.07287i
\(299\) 3.36436 + 2.84203i 0.194566 + 0.164359i
\(300\) 4.20724 + 12.9486i 0.242905 + 0.747585i
\(301\) −5.08539 11.4220i −0.293117 0.658351i
\(302\) 18.8858 8.40851i 1.08676 0.483855i
\(303\) 3.13803 + 1.39714i 0.180275 + 0.0802637i
\(304\) 83.4901i 4.78849i
\(305\) −1.55776 + 0.899372i −0.0891969 + 0.0514979i
\(306\) 4.87604 10.9518i 0.278745 0.626071i
\(307\) −24.7268 8.03424i −1.41124 0.458538i −0.498429 0.866930i \(-0.666090\pi\)
−0.912807 + 0.408392i \(0.866090\pi\)
\(308\) −31.9227 + 35.4538i −1.81897 + 2.02017i
\(309\) 6.06434 10.5038i 0.344989 0.597538i
\(310\) 5.86940 17.9571i 0.333359 1.01989i
\(311\) 10.7688 0.610643 0.305322 0.952249i \(-0.401236\pi\)
0.305322 + 0.952249i \(0.401236\pi\)
\(312\) −12.3547 19.9178i −0.699449 1.12763i
\(313\) 4.74599 14.6067i 0.268259 0.825617i −0.722665 0.691198i \(-0.757083\pi\)
0.990925 0.134419i \(-0.0429168\pi\)
\(314\) 19.6522 2.06553i 1.10904 0.116565i
\(315\) 4.04212 7.00115i 0.227748 0.394470i
\(316\) 32.7578 + 56.7381i 1.84277 + 3.19177i
\(317\) −0.483784 0.665872i −0.0271720 0.0373991i 0.795215 0.606328i \(-0.207358\pi\)
−0.822387 + 0.568929i \(0.807358\pi\)
\(318\) 21.5234 + 2.26220i 1.20697 + 0.126858i
\(319\) 27.0006 + 2.83788i 1.51175 + 0.158891i
\(320\) 18.4309 5.98856i 1.03032 0.334771i
\(321\) −7.98352 3.55449i −0.445596 0.198392i
\(322\) 8.50763 + 1.80835i 0.474111 + 0.100775i
\(323\) −10.2364 + 9.21689i −0.569568 + 0.512841i
\(324\) 15.1310 + 10.9933i 0.840613 + 0.610741i
\(325\) 5.29241 + 10.9427i 0.293570 + 0.606990i
\(326\) 12.2320 37.6462i 0.677467 2.08503i
\(327\) −1.95643 4.39422i −0.108191 0.243001i
\(328\) −51.0804 56.7306i −2.82045 3.13242i
\(329\) −12.0631 + 13.3974i −0.665058 + 0.738621i
\(330\) 5.58431 + 7.68614i 0.307406 + 0.423108i
\(331\) 7.88687 + 7.10137i 0.433502 + 0.390327i 0.856788 0.515670i \(-0.172457\pi\)
−0.423286 + 0.905996i \(0.639123\pi\)
\(332\) −42.7450 4.49268i −2.34594 0.246568i
\(333\) 1.97104 2.71291i 0.108013 0.148667i
\(334\) 49.4305 + 22.0079i 2.70472 + 1.20422i
\(335\) −3.00928 + 5.21222i −0.164414 + 0.284774i
\(336\) −21.3534 12.3284i −1.16492 0.672568i
\(337\) 21.1177 15.3429i 1.15035 0.835780i 0.161824 0.986820i \(-0.448262\pi\)
0.988528 + 0.151040i \(0.0482622\pi\)
\(338\) −22.0415 26.6233i −1.19890 1.44812i
\(339\) 1.85684 + 5.71477i 0.100850 + 0.310384i
\(340\) −10.6800 6.16610i −0.579205 0.334404i
\(341\) −0.0342640 + 19.5667i −0.00185550 + 1.05960i
\(342\) −22.7182 39.3490i −1.22846 2.12775i
\(343\) 17.3897 5.65025i 0.938954 0.305085i
\(344\) −7.91926 37.2572i −0.426978 2.00877i
\(345\) 0.505171 1.13463i 0.0271975 0.0610866i
\(346\) 6.92061i 0.372054i
\(347\) 15.0045 + 25.9886i 0.805484 + 1.39514i 0.915964 + 0.401261i \(0.131428\pi\)
−0.110479 + 0.993878i \(0.535239\pi\)
\(348\) 3.26120 + 31.0282i 0.174818 + 1.66329i
\(349\) 11.8577 + 26.6328i 0.634727 + 1.42562i 0.888736 + 0.458419i \(0.151584\pi\)
−0.254009 + 0.967202i \(0.581749\pi\)
\(350\) 19.4210 + 14.1101i 1.03809 + 0.754219i
\(351\) −13.5845 7.28067i −0.725086 0.388613i
\(352\) −40.9513 + 29.7529i −2.18271 + 1.58583i
\(353\) 3.02969 14.2536i 0.161254 0.758641i −0.820976 0.570962i \(-0.806570\pi\)
0.982230 0.187679i \(-0.0600964\pi\)
\(354\) −15.5634 17.2849i −0.827186 0.918683i
\(355\) −1.29960 + 12.3649i −0.0689756 + 0.656259i
\(356\) 51.5241 + 16.7412i 2.73077 + 0.887281i
\(357\) 0.845771 + 3.97904i 0.0447630 + 0.210593i
\(358\) 34.8266 + 3.66043i 1.84064 + 0.193460i
\(359\) −6.09417 1.98012i −0.321638 0.104507i 0.143748 0.989614i \(-0.454085\pi\)
−0.465386 + 0.885108i \(0.654085\pi\)
\(360\) 16.4795 18.3024i 0.868547 0.964619i
\(361\) 3.47100 + 33.0243i 0.182684 + 1.73812i
\(362\) −1.92309 + 9.04743i −0.101075 + 0.475522i
\(363\) −0.870349 0.632346i −0.0456815 0.0331895i
\(364\) −45.3217 18.4855i −2.37550 0.968906i
\(365\) 5.18916 3.77014i 0.271613 0.197338i
\(366\) 2.58562 + 1.49281i 0.135153 + 0.0780303i
\(367\) −9.80622 + 16.9849i −0.511880 + 0.886603i 0.488025 + 0.872830i \(0.337718\pi\)
−0.999905 + 0.0137730i \(0.995616\pi\)
\(368\) 12.8940 + 5.74080i 0.672148 + 0.299260i
\(369\) −21.0464 6.83840i −1.09563 0.355993i
\(370\) −3.57502 3.21896i −0.185856 0.167346i
\(371\) 23.6965 13.6812i 1.23026 0.710291i
\(372\) −22.0022 + 4.63647i −1.14076 + 0.240390i
\(373\) 15.6878 + 27.1721i 0.812284 + 1.40692i 0.911262 + 0.411828i \(0.135109\pi\)
−0.0989777 + 0.995090i \(0.531557\pi\)
\(374\) 17.4232 + 3.70341i 0.900931 + 0.191499i
\(375\) 6.32565 5.69564i 0.326655 0.294121i
\(376\) −44.4323 + 32.2820i −2.29142 + 1.66481i
\(377\) 6.64926 + 27.0491i 0.342454 + 1.39310i
\(378\) −30.4384 −1.56558
\(379\) −8.63903 + 0.907999i −0.443757 + 0.0466408i −0.323773 0.946135i \(-0.604951\pi\)
−0.119985 + 0.992776i \(0.538285\pi\)
\(380\) −42.6992 + 19.0109i −2.19042 + 0.975240i
\(381\) −0.324585 + 3.08822i −0.0166290 + 0.158214i
\(382\) −2.45354 + 0.797202i −0.125534 + 0.0407884i
\(383\) 11.2958 25.3708i 0.577188 1.29639i −0.355154 0.934808i \(-0.615572\pi\)
0.932342 0.361578i \(-0.117762\pi\)
\(384\) −6.84787 6.16585i −0.349454 0.314650i
\(385\) 11.4239 + 3.71185i 0.582216 + 0.189173i
\(386\) −1.28755 + 12.2502i −0.0655344 + 0.623519i
\(387\) −7.38831 8.20555i −0.375569 0.417111i
\(388\) 5.43223 4.89120i 0.275780 0.248313i
\(389\) 9.41898 + 6.84329i 0.477561 + 0.346968i 0.800381 0.599492i \(-0.204631\pi\)
−0.322820 + 0.946461i \(0.604631\pi\)
\(390\) −5.47729 + 8.06282i −0.277353 + 0.408277i
\(391\) −0.719581 2.21464i −0.0363908 0.111999i
\(392\) −1.40260 + 0.147419i −0.0708418 + 0.00744577i
\(393\) −0.204352 0.0434365i −0.0103082 0.00219108i
\(394\) 1.44713 13.7685i 0.0729054 0.693649i
\(395\) 9.69576 13.3451i 0.487847 0.671463i
\(396\) −17.1366 + 38.4895i −0.861148 + 1.93417i
\(397\) −3.76522 + 2.17385i −0.188971 + 0.109102i −0.591501 0.806305i \(-0.701464\pi\)
0.402530 + 0.915407i \(0.368131\pi\)
\(398\) 38.5324i 1.93145i
\(399\) 14.0849 + 6.27099i 0.705126 + 0.313942i
\(400\) 26.0663 + 28.9495i 1.30331 + 1.44748i
\(401\) 4.91318 23.1147i 0.245353 1.15429i −0.667054 0.745009i \(-0.732445\pi\)
0.912407 0.409284i \(-0.134222\pi\)
\(402\) 9.98981 0.498246
\(403\) −18.8987 + 6.77056i −0.941409 + 0.337266i
\(404\) 21.8533 1.08724
\(405\) 0.979059 4.60611i 0.0486498 0.228879i
\(406\) 36.8088 + 40.8803i 1.82679 + 2.02885i
\(407\) 4.55173 + 2.02656i 0.225621 + 0.100453i
\(408\) 12.3928i 0.613534i
\(409\) −27.2422 + 15.7283i −1.34704 + 0.777714i −0.987829 0.155542i \(-0.950288\pi\)
−0.359211 + 0.933256i \(0.616954\pi\)
\(410\) −12.9126 + 29.0021i −0.637707 + 1.43231i
\(411\) 8.78022 12.0849i 0.433096 0.596106i
\(412\) 8.06561 76.7392i 0.397364 3.78067i
\(413\) −28.7644 6.11407i −1.41541 0.300854i
\(414\) 7.63909 0.802901i 0.375441 0.0394604i
\(415\) 3.34405 + 10.2919i 0.164153 + 0.505210i
\(416\) −42.9583 29.1827i −2.10620 1.43080i
\(417\) 0.861229 + 0.625720i 0.0421746 + 0.0306416i
\(418\) 50.1702 45.1734i 2.45390 2.20950i
\(419\) 10.3774 + 11.5253i 0.506969 + 0.563047i 0.941241 0.337735i \(-0.109661\pi\)
−0.434272 + 0.900782i \(0.642994\pi\)
\(420\) −1.44286 + 13.7279i −0.0704045 + 0.669854i
\(421\) −34.8749 11.3315i −1.69970 0.552266i −0.711134 0.703057i \(-0.751818\pi\)
−0.988566 + 0.150791i \(0.951818\pi\)
\(422\) −39.8468 35.8782i −1.93971 1.74652i
\(423\) −6.47564 + 14.5445i −0.314857 + 0.707179i
\(424\) 79.2783 25.7591i 3.85009 1.25097i
\(425\) 0.671802 6.39177i 0.0325872 0.310046i
\(426\) 18.8525 8.39369i 0.913409 0.406676i
\(427\) 3.75410 0.394572i 0.181674 0.0190947i
\(428\) −55.5972 −2.68739
\(429\) 2.81473 9.69513i 0.135896 0.468085i
\(430\) −12.8150 + 9.31065i −0.617995 + 0.449000i
\(431\) 4.77577 4.30012i 0.230041 0.207130i −0.546047 0.837755i \(-0.683868\pi\)
0.776088 + 0.630625i \(0.217201\pi\)
\(432\) −48.3148 10.2696i −2.32455 0.494098i
\(433\) 3.09483 + 5.36041i 0.148728 + 0.257605i 0.930758 0.365637i \(-0.119149\pi\)
−0.782029 + 0.623241i \(0.785815\pi\)
\(434\) −26.5799 + 29.4162i −1.27588 + 1.41202i
\(435\) 6.80287 3.92764i 0.326172 0.188316i
\(436\) −22.7412 20.4763i −1.08911 0.980637i
\(437\) −8.39369 2.72727i −0.401525 0.130463i
\(438\) −9.72600 4.33029i −0.464726 0.206909i
\(439\) −11.7096 + 20.2816i −0.558867 + 0.967986i 0.438724 + 0.898622i \(0.355430\pi\)
−0.997591 + 0.0693644i \(0.977903\pi\)
\(440\) 31.6908 + 18.2967i 1.51080 + 0.872261i
\(441\) −0.330753 + 0.240306i −0.0157502 + 0.0114432i
\(442\) 2.48358 + 18.1054i 0.118132 + 0.861187i
\(443\) 5.87950 + 4.27171i 0.279344 + 0.202955i 0.718631 0.695392i \(-0.244769\pi\)
−0.439287 + 0.898347i \(0.644769\pi\)
\(444\) −1.19044 + 5.60059i −0.0564959 + 0.265792i
\(445\) −1.42580 13.5655i −0.0675892 0.643069i
\(446\) 15.0434 16.7074i 0.712327 0.791120i
\(447\) 15.8963 + 5.16502i 0.751869 + 0.244297i
\(448\) −40.4461 4.25106i −1.91090 0.200844i
\(449\) 3.25351 + 15.3066i 0.153543 + 0.722362i 0.985793 + 0.167962i \(0.0537187\pi\)
−0.832251 + 0.554400i \(0.812948\pi\)
\(450\) 20.1624 + 6.55117i 0.950465 + 0.308825i
\(451\) 3.43697 32.7006i 0.161841 1.53981i
\(452\) 25.5795 + 28.4089i 1.20316 + 1.33624i
\(453\) −1.28804 + 6.05973i −0.0605172 + 0.284711i
\(454\) −37.2979 + 27.0985i −1.75048 + 1.27180i
\(455\) 0.389400 + 12.3176i 0.0182554 + 0.577456i
\(456\) 37.9993 + 27.6081i 1.77948 + 1.29287i
\(457\) 10.7101 + 24.0553i 0.500998 + 1.12526i 0.970230 + 0.242186i \(0.0778643\pi\)
−0.469232 + 0.883075i \(0.655469\pi\)
\(458\) −5.66954 53.9421i −0.264920 2.52055i
\(459\) 4.07460 + 7.05741i 0.190186 + 0.329412i
\(460\) 7.90158i 0.368413i
\(461\) 13.3184 29.9136i 0.620299 1.39321i −0.280870 0.959746i \(-0.590623\pi\)
0.901169 0.433469i \(-0.142710\pi\)
\(462\) −4.14526 19.5019i −0.192855 0.907311i
\(463\) −29.8724 + 9.70614i −1.38829 + 0.451082i −0.905385 0.424591i \(-0.860418\pi\)
−0.482904 + 0.875673i \(0.660418\pi\)
\(464\) 44.6339 + 77.3083i 2.07208 + 3.58895i
\(465\) 3.31964 + 4.58595i 0.153944 + 0.212669i
\(466\) −42.2420 24.3884i −1.95682 1.12977i
\(467\) 1.45688 + 4.48381i 0.0674163 + 0.207486i 0.979089 0.203430i \(-0.0652089\pi\)
−0.911673 + 0.410916i \(0.865209\pi\)
\(468\) −43.1106 3.15774i −1.99279 0.145966i
\(469\) 10.2181 7.42392i 0.471830 0.342805i
\(470\) 19.7801 + 11.4200i 0.912386 + 0.526766i
\(471\) −2.96081 + 5.12827i −0.136427 + 0.236298i
\(472\) −81.8420 36.4384i −3.76708 1.67721i
\(473\) 9.64321 13.2727i 0.443395 0.610281i
\(474\) −27.2297 2.86195i −1.25070 0.131454i
\(475\) −18.1021 16.2992i −0.830581 0.747859i
\(476\) 15.2118 + 20.9373i 0.697233 + 0.959660i
\(477\) 16.1692 17.9577i 0.740335 0.822225i
\(478\) −31.0757 34.5130i −1.42137 1.57859i
\(479\) −8.53580 19.1717i −0.390011 0.875979i −0.996710 0.0810474i \(-0.974173\pi\)
0.606699 0.794931i \(-0.292493\pi\)
\(480\) −4.52579 + 13.9289i −0.206573 + 0.635767i
\(481\) −0.373431 + 5.09822i −0.0170270 + 0.232459i
\(482\) −11.9118 8.65443i −0.542568 0.394199i
\(483\) −1.93696 + 1.74405i −0.0881347 + 0.0793569i
\(484\) −6.69467 1.42300i −0.304303 0.0646816i
\(485\) −1.68133 0.748578i −0.0763454 0.0339912i
\(486\) −39.8603 + 12.9514i −1.80810 + 0.587488i
\(487\) −20.9567 2.20264i −0.949639 0.0998111i −0.382974 0.923759i \(-0.625100\pi\)
−0.566665 + 0.823948i \(0.691767\pi\)
\(488\) 11.4367 + 1.20204i 0.517715 + 0.0544140i
\(489\) 6.97230 + 9.59655i 0.315298 + 0.433971i
\(490\) 0.293254 + 0.507931i 0.0132479 + 0.0229460i
\(491\) 3.52324 6.10242i 0.159001 0.275399i −0.775507 0.631338i \(-0.782506\pi\)
0.934509 + 0.355940i \(0.115839\pi\)
\(492\) 37.5784 3.94965i 1.69416 0.178064i
\(493\) 4.55110 14.0068i 0.204971 0.630836i
\(494\) 61.0485 + 32.7192i 2.74670 + 1.47211i
\(495\) 10.6079 0.476792
\(496\) −52.1151 + 37.7246i −2.34004 + 1.69388i
\(497\) 13.0457 22.5958i 0.585179 1.01356i
\(498\) 12.0189 13.3484i 0.538581 0.598155i
\(499\) 20.8097 + 6.76149i 0.931572 + 0.302686i 0.735205 0.677844i \(-0.237086\pi\)
0.196367 + 0.980531i \(0.437086\pi\)
\(500\) 22.0259 49.4710i 0.985028 2.21241i
\(501\) −14.0423 + 8.10733i −0.627364 + 0.362209i
\(502\) 12.1403i 0.541848i
\(503\) −29.0256 12.9230i −1.29419 0.576209i −0.359987 0.932957i \(-0.617219\pi\)
−0.934201 + 0.356748i \(0.883886\pi\)
\(504\) −47.2157 + 21.0218i −2.10315 + 0.936384i
\(505\) −2.23794 5.02650i −0.0995870 0.223676i
\(506\) 3.52678 + 10.8543i 0.156785 + 0.482533i
\(507\) 10.3369 0.654225i 0.459079 0.0290552i
\(508\) 6.10471 + 18.7884i 0.270853 + 0.833600i
\(509\) 19.4826 17.5422i 0.863552 0.777545i −0.112826 0.993615i \(-0.535990\pi\)
0.976378 + 0.216069i \(0.0693237\pi\)
\(510\) 4.70820 2.09623i 0.208483 0.0928224i
\(511\) −13.1664 + 2.79860i −0.582446 + 0.123803i
\(512\) 21.0395 + 6.83615i 0.929824 + 0.302118i
\(513\) 30.7169 + 3.22848i 1.35619 + 0.142541i
\(514\) 9.29416 + 43.7256i 0.409948 + 1.92865i
\(515\) −18.4769 + 6.00350i −0.814188 + 0.264546i
\(516\) 17.2233 + 7.66830i 0.758212 + 0.337578i
\(517\) −23.1389 4.91833i −1.01765 0.216308i
\(518\) 4.10620 + 9.22268i 0.180416 + 0.405221i
\(519\) 1.67782 + 1.21901i 0.0736481 + 0.0535085i
\(520\) −6.64149 + 36.9515i −0.291249 + 1.62043i
\(521\) −17.5293 −0.767974 −0.383987 0.923339i \(-0.625449\pi\)
−0.383987 + 0.923339i \(0.625449\pi\)
\(522\) 42.0721 + 24.2903i 1.84145 + 1.06316i
\(523\) −0.0275301 0.261931i −0.00120381 0.0114534i 0.993904 0.110253i \(-0.0351663\pi\)
−0.995107 + 0.0988000i \(0.968500\pi\)
\(524\) −1.30008 + 0.276340i −0.0567941 + 0.0120720i
\(525\) −6.84168 + 2.22300i −0.298595 + 0.0970195i
\(526\) −41.8822 + 24.1807i −1.82615 + 1.05433i
\(527\) 10.3785 + 2.22502i 0.452095 + 0.0969235i
\(528\) 32.3540i 1.40803i
\(529\) −14.3917 + 15.9836i −0.625724 + 0.694937i
\(530\) −23.1961 25.7619i −1.00757 1.11902i
\(531\) −25.8279 + 2.71462i −1.12084 + 0.117805i
\(532\) 98.0871 4.25262
\(533\) 32.7593 8.05294i 1.41896 0.348812i
\(534\) −18.3166 + 13.3078i −0.792638 + 0.575885i
\(535\) 5.69358 + 12.7880i 0.246155 + 0.552873i
\(536\) 35.1511 15.6503i 1.51830 0.675990i
\(537\) −7.02184 + 7.79855i −0.303015 + 0.336532i
\(538\) −4.21949 5.80764i −0.181915 0.250385i
\(539\) −0.451429 0.406468i −0.0194444 0.0175078i
\(540\) 5.74923 + 27.0480i 0.247408 + 1.16396i
\(541\) −11.8452 + 16.3035i −0.509266 + 0.700944i −0.983795 0.179295i \(-0.942618\pi\)
0.474529 + 0.880240i \(0.342618\pi\)
\(542\) −76.5460 + 16.2704i −3.28793 + 0.698871i
\(543\) −1.85470 2.05986i −0.0795930 0.0883970i
\(544\) 11.1686 + 25.0850i 0.478849 + 1.07551i
\(545\) −2.38091 + 7.32767i −0.101987 + 0.313883i
\(546\) 17.3828 10.7823i 0.743916 0.461440i
\(547\) 17.0328 12.3750i 0.728268 0.529118i −0.160747 0.986996i \(-0.551390\pi\)
0.889015 + 0.457878i \(0.151390\pi\)
\(548\) 19.7585 92.9565i 0.844042 3.97091i
\(549\) 3.04540 1.35590i 0.129975 0.0578684i
\(550\) −3.29261 + 31.3271i −0.140397 + 1.33579i
\(551\) −32.8096 45.1586i −1.39774 1.92382i
\(552\) −6.87658 + 3.97020i −0.292687 + 0.168983i
\(553\) −29.9789 + 17.3083i −1.27483 + 0.736025i
\(554\) 23.8317 + 32.8015i 1.01251 + 1.39360i
\(555\) 1.41011 0.299728i 0.0598558 0.0127227i
\(556\) 6.62452 + 1.40809i 0.280942 + 0.0597161i
\(557\) 25.4572 + 14.6977i 1.07865 + 0.622761i 0.930533 0.366208i \(-0.119344\pi\)
0.148121 + 0.988969i \(0.452677\pi\)
\(558\) −14.2968 + 31.9605i −0.605234 + 1.35300i
\(559\) 16.1646 + 4.69296i 0.683689 + 0.198491i
\(560\) 12.2047 + 37.5621i 0.515741 + 1.58729i
\(561\) −3.96680 + 3.57172i −0.167478 + 0.150798i
\(562\) −5.71818 54.4048i −0.241207 2.29493i
\(563\) 2.99448 + 5.18660i 0.126202 + 0.218589i 0.922202 0.386708i \(-0.126388\pi\)
−0.796000 + 0.605297i \(0.793054\pi\)
\(564\) 27.1845i 1.14467i
\(565\) 3.91484 8.79287i 0.164698 0.369919i
\(566\) 32.0773 + 3.37146i 1.34831 + 0.141713i
\(567\) −5.80859 + 7.99484i −0.243938 + 0.335752i
\(568\) 53.1867 59.0698i 2.23166 2.47851i
\(569\) −0.0648389 0.616901i −0.00271819 0.0258618i 0.993079 0.117451i \(-0.0374722\pi\)
−0.995797 + 0.0915887i \(0.970805\pi\)
\(570\) 4.06118 19.1064i 0.170104 0.800278i
\(571\) −0.774259 + 2.38292i −0.0324017 + 0.0997223i −0.965949 0.258731i \(-0.916696\pi\)
0.933548 + 0.358453i \(0.116696\pi\)
\(572\) −8.72844 63.6307i −0.364955 2.66053i
\(573\) 0.238897 0.735251i 0.00998008 0.0307155i
\(574\) 49.5102 44.5792i 2.06652 1.86070i
\(575\) 3.76192 1.67492i 0.156883 0.0698488i
\(576\) −35.1310 + 7.46732i −1.46379 + 0.311138i
\(577\) −25.9262 + 8.42393i −1.07932 + 0.350693i −0.794112 0.607772i \(-0.792063\pi\)
−0.285210 + 0.958465i \(0.592063\pi\)
\(578\) −14.4536 + 32.4634i −0.601191 + 1.35030i
\(579\) −2.74312 2.46992i −0.114000 0.102646i
\(580\) 29.3744 40.4304i 1.21971 1.67878i
\(581\) 2.37381 22.5853i 0.0984824 0.936998i
\(582\) 0.319318 + 3.03811i 0.0132362 + 0.125934i
\(583\) 31.0940 + 17.9521i 1.28778 + 0.743500i
\(584\) −41.0068 −1.69687
\(585\) 3.68854 + 10.2393i 0.152502 + 0.423343i
\(586\) −7.62728 + 23.4744i −0.315080 + 0.969717i
\(587\) 6.84006 32.1799i 0.282319 1.32821i −0.576990 0.816751i \(-0.695773\pi\)
0.859309 0.511457i \(-0.170894\pi\)
\(588\) 0.349034 0.604545i 0.0143939 0.0249310i
\(589\) 29.9433 26.8662i 1.23379 1.10700i
\(590\) 37.2565i 1.53383i
\(591\) 3.08312 + 2.77605i 0.126822 + 0.114191i
\(592\) 3.40613 + 16.0246i 0.139991 + 0.658606i
\(593\) 12.9662 + 17.8465i 0.532460 + 0.732868i 0.987503 0.157601i \(-0.0503761\pi\)
−0.455043 + 0.890470i \(0.650376\pi\)
\(594\) −19.9702 34.5895i −0.819389 1.41922i
\(595\) 3.25801 5.64303i 0.133565 0.231342i
\(596\) 105.753 11.1151i 4.33181 0.455292i
\(597\) 9.34171 + 6.78715i 0.382331 + 0.277780i
\(598\) −9.25079 + 7.17842i −0.378293 + 0.293547i
\(599\) 2.77438 + 8.53868i 0.113358 + 0.348881i 0.991601 0.129334i \(-0.0412840\pi\)
−0.878243 + 0.478215i \(0.841284\pi\)
\(600\) −21.7954 + 2.29079i −0.889794 + 0.0935211i
\(601\) 33.6713 + 7.15706i 1.37348 + 0.291942i 0.834793 0.550563i \(-0.185587\pi\)
0.538688 + 0.842506i \(0.318920\pi\)
\(602\) 32.5153 6.91134i 1.32523 0.281685i
\(603\) 6.55627 9.02393i 0.266992 0.367483i
\(604\) 8.19439 + 38.5516i 0.333425 + 1.56864i
\(605\) 0.358280 + 1.68558i 0.0145662 + 0.0685284i
\(606\) −5.36808 + 7.38852i −0.218063 + 0.300138i
\(607\) 10.7327 2.28130i 0.435626 0.0925952i 0.0151217 0.999886i \(-0.495186\pi\)
0.420504 + 0.907290i \(0.361853\pi\)
\(608\) 101.798 + 21.6378i 4.12844 + 0.877527i
\(609\) −16.3945 + 1.72313i −0.664338 + 0.0698247i
\(610\) −1.47783 4.54829i −0.0598356 0.184155i
\(611\) −3.29833 24.0450i −0.133436 0.972755i
\(612\) 18.4903 + 13.4340i 0.747426 + 0.543037i
\(613\) −42.9909 + 4.51852i −1.73638 + 0.182501i −0.919178 0.393843i \(-0.871145\pi\)
−0.817207 + 0.576345i \(0.804479\pi\)
\(614\) 34.5625 59.8640i 1.39483 2.41591i
\(615\) −4.75678 8.23898i −0.191812 0.332228i
\(616\) −45.1381 62.1273i −1.81867 2.50318i
\(617\) 5.68798 + 26.7598i 0.228989 + 1.07731i 0.930965 + 0.365109i \(0.118968\pi\)
−0.701975 + 0.712201i \(0.747698\pi\)
\(618\) 23.9640 + 21.5773i 0.963975 + 0.867967i
\(619\) 30.0304i 1.20702i −0.797355 0.603511i \(-0.793768\pi\)
0.797355 0.603511i \(-0.206232\pi\)
\(620\) 31.1602 + 18.0632i 1.25142 + 0.725435i
\(621\) −2.61070 + 4.52187i −0.104764 + 0.181456i
\(622\) −5.95277 + 28.0056i −0.238684 + 1.12292i
\(623\) −8.84560 + 27.2240i −0.354392 + 1.09071i
\(624\) 31.2296 11.2500i 1.25019 0.450358i
\(625\) 3.22188 0.128875
\(626\) 35.3629 + 20.4168i 1.41339 + 0.816018i
\(627\) 2.11471 + 20.1201i 0.0844532 + 0.803519i
\(628\) −3.93789 + 37.4665i −0.157139 + 1.49508i
\(629\) 1.58869 2.18665i 0.0633453 0.0871873i
\(630\) 15.9730 + 14.3821i 0.636378 + 0.572997i
\(631\) −12.0048 + 26.9632i −0.477902 + 1.07339i 0.500323 + 0.865839i \(0.333215\pi\)
−0.978225 + 0.207547i \(0.933452\pi\)
\(632\) −100.297 + 32.5884i −3.98959 + 1.29630i
\(633\) 15.7169 3.34073i 0.624692 0.132782i
\(634\) 1.99911 0.890060i 0.0793947 0.0353488i
\(635\) 3.69637 3.32823i 0.146686 0.132077i
\(636\) −12.7500 + 39.2405i −0.505570 + 1.55599i
\(637\) 0.235374 0.577075i 0.00932587 0.0228646i
\(638\) −22.3056 + 68.6497i −0.883089 + 2.71787i
\(639\) 4.79070 22.5385i 0.189517 0.891609i
\(640\) 1.54285 + 14.6793i 0.0609866 + 0.580249i
\(641\) −4.85436 + 5.39131i −0.191736 + 0.212944i −0.831346 0.555755i \(-0.812429\pi\)
0.639610 + 0.768699i \(0.279096\pi\)
\(642\) 13.6570 18.7973i 0.538999 0.741869i
\(643\) −19.7136 2.07198i −0.777427 0.0817109i −0.292500 0.956265i \(-0.594487\pi\)
−0.484927 + 0.874555i \(0.661154\pi\)
\(644\) −6.74449 + 15.1484i −0.265770 + 0.596930i
\(645\) 4.74684i 0.186907i
\(646\) −18.3112 31.7159i −0.720444 1.24784i
\(647\) 3.87252 + 36.8446i 0.152244 + 1.44851i 0.757686 + 0.652619i \(0.226330\pi\)
−0.605442 + 0.795890i \(0.707004\pi\)
\(648\) −22.3728 + 20.1446i −0.878887 + 0.791353i
\(649\) −11.9241 36.6986i −0.468062 1.44055i
\(650\) −31.3833 + 7.71469i −1.23095 + 0.302595i
\(651\) −2.44979 11.6254i −0.0960147 0.455636i
\(652\) 65.3547 + 37.7326i 2.55949 + 1.47772i
\(653\) −2.32112 0.493370i −0.0908325 0.0193070i 0.162271 0.986746i \(-0.448118\pi\)
−0.253104 + 0.967439i \(0.581451\pi\)
\(654\) 12.5092 2.65891i 0.489148 0.103972i
\(655\) 0.196699 + 0.270733i 0.00768566 + 0.0105784i
\(656\) 93.6283 54.0563i 3.65557 2.11055i
\(657\) −10.2947 + 5.94367i −0.401636 + 0.231885i
\(658\) −28.1733 38.7772i −1.09831 1.51169i
\(659\) 3.72049 35.3981i 0.144930 1.37892i −0.644279 0.764791i \(-0.722842\pi\)
0.789209 0.614125i \(-0.210491\pi\)
\(660\) −16.5468 + 7.36709i −0.644082 + 0.286764i
\(661\) 0.112185 0.527789i 0.00436349 0.0205286i −0.975912 0.218165i \(-0.929993\pi\)
0.980275 + 0.197636i \(0.0633264\pi\)
\(662\) −22.8277 + 16.5853i −0.887223 + 0.644605i
\(663\) −4.82691 2.58700i −0.187461 0.100471i
\(664\) 21.3791 65.7981i 0.829670 2.55346i
\(665\) −10.0449 22.5611i −0.389523 0.874884i
\(666\) 5.96570 + 6.62558i 0.231166 + 0.256736i
\(667\) 9.23020 1.96194i 0.357395 0.0759666i
\(668\) −60.6339 + 83.4554i −2.34600 + 3.22899i
\(669\) 1.40074 + 6.58997i 0.0541558 + 0.254783i
\(670\) −11.8916 10.7072i −0.459411 0.413655i
\(671\) 2.91140 + 4.00720i 0.112393 + 0.154696i
\(672\) 20.5658 22.8406i 0.793342 0.881096i
\(673\) −17.2780 + 7.69268i −0.666019 + 0.296531i −0.711760 0.702422i \(-0.752102\pi\)
0.0457410 + 0.998953i \(0.485435\pi\)
\(674\) 28.2276 + 63.4002i 1.08729 + 2.44209i
\(675\) −11.6588 + 8.47062i −0.448748 + 0.326034i
\(676\) 58.3844 30.5504i 2.24555 1.17502i
\(677\) 33.4772 1.28663 0.643317 0.765600i \(-0.277558\pi\)
0.643317 + 0.765600i \(0.277558\pi\)
\(678\) −15.8884 + 1.66994i −0.610190 + 0.0641335i
\(679\) 2.58438 + 2.87025i 0.0991795 + 0.110150i
\(680\) 13.2827 14.7520i 0.509370 0.565713i
\(681\) 13.8156i 0.529416i
\(682\) −50.8667 10.9052i −1.94779 0.417581i
\(683\) −5.54945 + 3.20397i −0.212344 + 0.122597i −0.602400 0.798194i \(-0.705789\pi\)
0.390056 + 0.920791i \(0.372455\pi\)
\(684\) 82.3838 26.7681i 3.15002 1.02350i
\(685\) −23.4045 + 4.97477i −0.894239 + 0.190076i
\(686\) 5.08151 + 48.3473i 0.194013 + 1.84591i
\(687\) 14.0762 + 8.12693i 0.537042 + 0.310062i
\(688\) 53.9434 2.05657
\(689\) −6.51641 + 36.2556i −0.248255 + 1.38123i
\(690\) 2.67150 + 1.94096i 0.101702 + 0.0738911i
\(691\) −14.6404 32.8828i −0.556947 1.25092i −0.944329 0.329003i \(-0.893287\pi\)
0.387382 0.921919i \(-0.373379\pi\)
\(692\) 12.9057 + 2.74319i 0.490600 + 0.104280i
\(693\) −20.3368 9.05455i −0.772533 0.343954i
\(694\) −75.8806 + 24.6551i −2.88039 + 0.935895i
\(695\) −0.354526 1.66791i −0.0134479 0.0632676i
\(696\) −49.9451 5.24944i −1.89316 0.198979i
\(697\) −16.9637 5.51185i −0.642547 0.208776i
\(698\) −75.8165 + 16.1153i −2.86970 + 0.609973i
\(699\) 13.3533 5.94525i 0.505066 0.224870i
\(700\) −34.0109 + 30.6236i −1.28549 + 1.15746i
\(701\) −11.5783 35.6344i −0.437307 1.34589i −0.890704 0.454584i \(-0.849788\pi\)
0.453397 0.891309i \(-0.350212\pi\)
\(702\) 26.4435 31.3035i 0.998045 1.18147i
\(703\) −3.16557 9.74263i −0.119392 0.367450i
\(704\) −21.7054 48.7512i −0.818053 1.83738i
\(705\) −6.25274 + 2.78390i −0.235492 + 0.104848i
\(706\) 35.3934 + 15.7582i 1.33205 + 0.593066i
\(707\) 11.5467i 0.434258i
\(708\) 38.4023 22.1716i 1.44325 0.833258i
\(709\) −8.89952 + 19.9886i −0.334228 + 0.750689i 0.665761 + 0.746165i \(0.268107\pi\)
−0.999990 + 0.00452450i \(0.998560\pi\)
\(710\) −31.4379 10.2148i −1.17984 0.383355i
\(711\) −20.4559 + 22.7186i −0.767158 + 0.852015i
\(712\) −43.6024 + 75.5215i −1.63407 + 2.83029i
\(713\) 2.09026 + 6.47171i 0.0782810 + 0.242367i
\(714\) −10.8155 −0.404760
\(715\) −13.7419 + 8.52391i −0.513919 + 0.318776i
\(716\) −20.6306 + 63.4944i −0.771001 + 2.37290i
\(717\) 13.8410 1.45475i 0.516901 0.0543285i
\(718\) 8.51826 14.7541i 0.317899 0.550617i
\(719\) −5.95652 10.3170i −0.222141 0.384759i 0.733317 0.679887i \(-0.237971\pi\)
−0.955458 + 0.295128i \(0.904638\pi\)
\(720\) 20.5015 + 28.2179i 0.764045 + 1.05162i
\(721\) 40.5470 + 4.26166i 1.51005 + 0.158712i
\(722\) −87.8025 9.22842i −3.26767 0.343446i
\(723\) 4.19633 1.36347i 0.156063 0.0507080i
\(724\) −16.1095 7.17243i −0.598706 0.266561i
\(725\) 25.4754 + 5.41495i 0.946131 + 0.201106i
\(726\) 2.12560 1.91390i 0.0788885 0.0710315i
\(727\) 20.7349 + 15.0648i 0.769013 + 0.558721i 0.901662 0.432442i \(-0.142348\pi\)
−0.132648 + 0.991163i \(0.542348\pi\)
\(728\) 44.2731 65.1720i 1.64087 2.41544i
\(729\) 0.460488 1.41724i 0.0170551 0.0524903i
\(730\) 6.93626 + 15.5791i 0.256722 + 0.576608i
\(731\) −5.95509 6.61379i −0.220257 0.244620i
\(732\) −3.80870 + 4.22999i −0.140774 + 0.156345i
\(733\) 10.3967 + 14.3099i 0.384012 + 0.528547i 0.956642 0.291267i \(-0.0940768\pi\)
−0.572630 + 0.819814i \(0.694077\pi\)
\(734\) −38.7505 34.8911i −1.43031 1.28786i
\(735\) −0.174796 0.0183718i −0.00644745 0.000677654i
\(736\) −10.3413 + 14.2336i −0.381186 + 0.524658i
\(737\) 15.1404 + 6.74093i 0.557703 + 0.248306i
\(738\) 29.4181 50.9537i 1.08290 1.87563i
\(739\) −28.3129 16.3464i −1.04151 0.601313i −0.121246 0.992622i \(-0.538689\pi\)
−0.920259 + 0.391309i \(0.872022\pi\)
\(740\) 7.41984 5.39083i 0.272759 0.198171i
\(741\) −18.6856 + 9.03726i −0.686431 + 0.331992i
\(742\) 22.4806 + 69.1882i 0.825289 + 2.53998i
\(743\) −23.9399 13.8217i −0.878268 0.507068i −0.00818132 0.999967i \(-0.502604\pi\)
−0.870087 + 0.492898i \(0.835938\pi\)
\(744\) 0.0633807 36.1940i 0.00232365 1.32694i
\(745\) −13.3865 23.1861i −0.490444 0.849474i
\(746\) −79.3362 + 25.7779i −2.90470 + 0.943796i
\(747\) −4.16979 19.6173i −0.152565 0.717760i
\(748\) −13.8124 + 31.0231i −0.505031 + 1.13432i
\(749\) 29.3761i 1.07338i
\(750\) 11.3155 + 19.5990i 0.413184 + 0.715656i
\(751\) −1.34861 12.8311i −0.0492114 0.468215i −0.991181 0.132516i \(-0.957694\pi\)
0.941969 0.335699i \(-0.108972\pi\)
\(752\) −31.6364 71.0566i −1.15366 2.59117i
\(753\) −2.94327 2.13841i −0.107259 0.0779280i
\(754\) −74.0200 + 2.34003i −2.69565 + 0.0852188i
\(755\) 8.02813 5.83278i 0.292174 0.212277i