Properties

Label 108.4.l.a.59.6
Level 108
Weight 4
Character 108.59
Analytic conductor 6.372
Analytic rank 0
Dimension 312
CM no
Inner twists 4

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 108 = 2^{2} \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 108.l (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.37220628062\)
Analytic rank: \(0\)
Dimension: \(312\)
Relative dimension: \(52\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 59.6
Character \(\chi\) \(=\) 108.59
Dual form 108.4.l.a.11.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.66507 - 0.947300i) q^{2} +(5.14914 + 0.697370i) q^{3} +(6.20524 + 5.04925i) q^{4} +(-1.80167 - 4.95006i) q^{5} +(-13.0622 - 6.73633i) q^{6} +(14.7819 - 2.60644i) q^{7} +(-11.7543 - 19.3349i) q^{8} +(26.0273 + 7.18172i) q^{9} +O(q^{10})\) \(q+(-2.66507 - 0.947300i) q^{2} +(5.14914 + 0.697370i) q^{3} +(6.20524 + 5.04925i) q^{4} +(-1.80167 - 4.95006i) q^{5} +(-13.0622 - 6.73633i) q^{6} +(14.7819 - 2.60644i) q^{7} +(-11.7543 - 19.3349i) q^{8} +(26.0273 + 7.18172i) q^{9} +(0.112404 + 14.8990i) q^{10} +(-10.3655 - 3.77274i) q^{11} +(28.4305 + 30.3267i) q^{12} +(13.1613 + 11.0436i) q^{13} +(-41.8639 - 7.05651i) q^{14} +(-5.82505 - 26.7450i) q^{15} +(13.0101 + 62.6637i) q^{16} +(48.2458 + 27.8547i) q^{17} +(-62.5616 - 43.7955i) q^{18} +(43.9510 - 25.3751i) q^{19} +(13.8143 - 39.8134i) q^{20} +(77.9317 - 3.11251i) q^{21} +(24.0509 + 19.8739i) q^{22} +(33.4382 - 189.638i) q^{23} +(-47.0409 - 107.755i) q^{24} +(74.4985 - 62.5117i) q^{25} +(-24.6141 - 41.8997i) q^{26} +(129.010 + 55.1304i) q^{27} +(104.886 + 58.4638i) q^{28} +(19.0814 + 22.7403i) q^{29} +(-9.81134 + 76.7955i) q^{30} +(42.3110 + 7.46057i) q^{31} +(24.6883 - 179.328i) q^{32} +(-50.7425 - 26.6549i) q^{33} +(-102.192 - 119.938i) q^{34} +(-39.5342 - 68.4752i) q^{35} +(125.244 + 175.983i) q^{36} +(-161.071 + 278.982i) q^{37} +(-141.171 + 25.9918i) q^{38} +(60.0677 + 66.0434i) q^{39} +(-74.5313 + 93.0195i) q^{40} +(-255.731 + 304.768i) q^{41} +(-210.642 - 65.5296i) q^{42} +(-24.4480 + 67.1703i) q^{43} +(-45.2710 - 75.7488i) q^{44} +(-11.3429 - 141.776i) q^{45} +(-268.759 + 473.722i) q^{46} +(-59.0533 - 334.908i) q^{47} +(23.2912 + 331.737i) q^{48} +(-110.604 + 40.2566i) q^{49} +(-257.761 + 96.0258i) q^{50} +(228.999 + 177.073i) q^{51} +(25.9069 + 134.983i) q^{52} +357.610i q^{53} +(-291.597 - 269.138i) q^{54} +58.1071i q^{55} +(-224.146 - 255.169i) q^{56} +(244.006 - 100.010i) q^{57} +(-29.3114 - 78.6803i) q^{58} +(-136.560 + 49.7039i) q^{59} +(98.8963 - 195.371i) q^{60} +(-125.753 - 713.182i) q^{61} +(-105.695 - 59.9642i) q^{62} +(403.452 + 38.3205i) q^{63} +(-235.674 + 454.535i) q^{64} +(30.9542 - 85.0460i) q^{65} +(109.982 + 119.106i) q^{66} +(-193.233 + 230.286i) q^{67} +(158.731 + 416.450i) q^{68} +(304.426 - 953.153i) q^{69} +(40.4950 + 219.942i) q^{70} +(-384.018 + 665.139i) q^{71} +(-167.075 - 587.651i) q^{72} +(213.928 + 370.534i) q^{73} +(693.545 - 590.927i) q^{74} +(427.197 - 269.928i) q^{75} +(400.852 + 64.4608i) q^{76} +(-163.055 - 28.7510i) q^{77} +(-97.5220 - 232.913i) q^{78} +(-506.928 - 604.133i) q^{79} +(286.749 - 177.300i) q^{80} +(625.846 + 373.842i) q^{81} +(970.249 - 569.976i) q^{82} +(-477.418 + 400.601i) q^{83} +(499.301 + 374.183i) q^{84} +(50.9593 - 289.005i) q^{85} +(128.786 - 155.854i) q^{86} +(82.3943 + 130.400i) q^{87} +(48.8938 + 244.761i) q^{88} +(-757.504 + 437.345i) q^{89} +(-104.075 + 388.589i) q^{90} +(223.333 + 128.941i) q^{91} +(1165.02 - 1007.91i) q^{92} +(212.663 + 67.9220i) q^{93} +(-159.877 + 948.496i) q^{94} +(-204.794 - 171.842i) q^{95} +(252.182 - 906.168i) q^{96} +(-1229.08 - 447.348i) q^{97} +(332.903 - 2.51156i) q^{98} +(-242.692 - 172.636i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 312q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 9q^{8} - 12q^{9} + O(q^{10}) \) \( 312q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 9q^{8} - 12q^{9} - 3q^{10} - 123q^{12} - 12q^{13} + 69q^{14} - 6q^{16} - 18q^{17} + 351q^{18} + 225q^{20} - 12q^{21} - 6q^{22} - 300q^{24} - 12q^{25} - 12q^{28} - 96q^{29} - 207q^{30} - 696q^{32} + 858q^{33} - 30q^{34} - 1056q^{36} - 6q^{37} - 900q^{38} - 381q^{40} + 138q^{41} + 2574q^{42} + 2655q^{44} - 672q^{45} - 3q^{46} - 435q^{48} - 12q^{49} - 2829q^{50} + 1371q^{52} - 4458q^{54} - 2925q^{56} + 660q^{57} + 885q^{58} + 966q^{60} - 12q^{61} + 1872q^{62} - 3q^{64} - 708q^{65} + 3093q^{66} + 2211q^{68} - 1572q^{69} - 1011q^{70} - 4524q^{72} - 6q^{73} - 5883q^{74} - 198q^{76} - 996q^{77} - 2976q^{78} + 444q^{81} - 12q^{82} + 6324q^{84} - 762q^{85} + 8322q^{86} + 1530q^{88} + 4212q^{89} - 1104q^{90} - 3255q^{92} + 7404q^{93} + 2019q^{94} + 582q^{96} - 66q^{97} + 2898q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(55\)
\(\chi(n)\) \(e\left(\frac{5}{18}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.66507 0.947300i −0.942246 0.334921i
\(3\) 5.14914 + 0.697370i 0.990953 + 0.134209i
\(4\) 6.20524 + 5.04925i 0.775656 + 0.631156i
\(5\) −1.80167 4.95006i −0.161147 0.442747i 0.832671 0.553767i \(-0.186810\pi\)
−0.993818 + 0.111021i \(0.964588\pi\)
\(6\) −13.0622 6.73633i −0.888772 0.458349i
\(7\) 14.7819 2.60644i 0.798147 0.140735i 0.240322 0.970693i \(-0.422747\pi\)
0.557825 + 0.829959i \(0.311636\pi\)
\(8\) −11.7543 19.3349i −0.519471 0.854488i
\(9\) 26.0273 + 7.18172i 0.963976 + 0.265990i
\(10\) 0.112404 + 14.8990i 0.00355454 + 0.471148i
\(11\) −10.3655 3.77274i −0.284120 0.103411i 0.196029 0.980598i \(-0.437195\pi\)
−0.480149 + 0.877187i \(0.659417\pi\)
\(12\) 28.4305 + 30.3267i 0.683931 + 0.729546i
\(13\) 13.1613 + 11.0436i 0.280790 + 0.235611i 0.772295 0.635264i \(-0.219109\pi\)
−0.491505 + 0.870875i \(0.663553\pi\)
\(14\) −41.8639 7.05651i −0.799186 0.134709i
\(15\) −5.82505 26.7450i −0.100268 0.460369i
\(16\) 13.0101 + 62.6637i 0.203283 + 0.979120i
\(17\) 48.2458 + 27.8547i 0.688313 + 0.397398i 0.802980 0.596006i \(-0.203247\pi\)
−0.114667 + 0.993404i \(0.536580\pi\)
\(18\) −62.5616 43.7955i −0.819217 0.573484i
\(19\) 43.9510 25.3751i 0.530687 0.306392i −0.210609 0.977570i \(-0.567545\pi\)
0.741296 + 0.671178i \(0.234211\pi\)
\(20\) 13.8143 39.8134i 0.154448 0.445128i
\(21\) 77.9317 3.11251i 0.809814 0.0323431i
\(22\) 24.0509 + 19.8739i 0.233076 + 0.192596i
\(23\) 33.4382 189.638i 0.303146 1.71923i −0.328961 0.944344i \(-0.606698\pi\)
0.632106 0.774882i \(-0.282191\pi\)
\(24\) −47.0409 107.755i −0.400091 0.916475i
\(25\) 74.4985 62.5117i 0.595988 0.500093i
\(26\) −24.6141 41.8997i −0.185663 0.316046i
\(27\) 129.010 + 55.1304i 0.919557 + 0.392957i
\(28\) 104.886 + 58.4638i 0.707913 + 0.394594i
\(29\) 19.0814 + 22.7403i 0.122183 + 0.145613i 0.823668 0.567072i \(-0.191924\pi\)
−0.701485 + 0.712684i \(0.747479\pi\)
\(30\) −9.81134 + 76.7955i −0.0597099 + 0.467363i
\(31\) 42.3110 + 7.46057i 0.245138 + 0.0432245i 0.294867 0.955538i \(-0.404725\pi\)
−0.0497290 + 0.998763i \(0.515836\pi\)
\(32\) 24.6883 179.328i 0.136385 0.990656i
\(33\) −50.7425 26.6549i −0.267671 0.140607i
\(34\) −102.192 119.938i −0.515463 0.604977i
\(35\) −39.5342 68.4752i −0.190929 0.330698i
\(36\) 125.244 + 175.983i 0.579832 + 0.814736i
\(37\) −161.071 + 278.982i −0.715671 + 1.23958i 0.247029 + 0.969008i \(0.420546\pi\)
−0.962700 + 0.270571i \(0.912787\pi\)
\(38\) −141.171 + 25.9918i −0.602655 + 0.110959i
\(39\) 60.0677 + 66.0434i 0.246629 + 0.271164i
\(40\) −74.5313 + 93.0195i −0.294611 + 0.367692i
\(41\) −255.731 + 304.768i −0.974109 + 1.16090i 0.0128483 + 0.999917i \(0.495910\pi\)
−0.986958 + 0.160981i \(0.948534\pi\)
\(42\) −210.642 65.5296i −0.773876 0.240749i
\(43\) −24.4480 + 67.1703i −0.0867042 + 0.238218i −0.975465 0.220153i \(-0.929344\pi\)
0.888761 + 0.458370i \(0.151567\pi\)
\(44\) −45.2710 75.7488i −0.155110 0.259535i
\(45\) −11.3429 141.776i −0.0375754 0.469661i
\(46\) −268.759 + 473.722i −0.861443 + 1.51840i
\(47\) −59.0533 334.908i −0.183273 1.03939i −0.928155 0.372195i \(-0.878605\pi\)
0.744882 0.667196i \(1.76749\pi\)
\(48\) 23.2912 + 331.737i 0.0700375 + 0.997544i
\(49\) −110.604 + 40.2566i −0.322461 + 0.117366i
\(50\) −257.761 + 96.0258i −0.729059 + 0.271602i
\(51\) 228.999 + 177.073i 0.628752 + 0.486180i
\(52\) 25.9069 + 134.983i 0.0690892 + 0.359976i
\(53\) 357.610i 0.926821i 0.886144 + 0.463411i \(0.153374\pi\)
−0.886144 + 0.463411i \(0.846626\pi\)
\(54\) −291.597 269.138i −0.734839 0.678242i
\(55\) 58.1071i 0.142457i
\(56\) −224.146 255.169i −0.534870 0.608899i
\(57\) 244.006 100.010i 0.567006 0.232397i
\(58\) −29.3114 78.6803i −0.0663582 0.178125i
\(59\) −136.560 + 49.7039i −0.301333 + 0.109676i −0.488262 0.872697i \(-0.662369\pi\)
0.186929 + 0.982373i \(0.440147\pi\)
\(60\) 98.8963 195.371i 0.212791 0.420372i
\(61\) −125.753 713.182i −0.263952 1.49695i −0.772003 0.635618i \(-0.780745\pi\)
0.508052 0.861327i \(-0.330366\pi\)
\(62\) −105.695 59.9642i −0.216504 0.122830i
\(63\) 403.452 + 38.3205i 0.806828 + 0.0766338i
\(64\) −235.674 + 454.535i −0.460300 + 0.887763i
\(65\) 30.9542 85.0460i 0.0590676 0.162287i
\(66\) 109.982 + 119.106i 0.205119 + 0.222135i
\(67\) −193.233 + 230.286i −0.352345 + 0.419908i −0.912884 0.408220i \(-0.866150\pi\)
0.560539 + 0.828128i \(0.310594\pi\)
\(68\) 158.731 + 416.450i 0.283074 + 0.742677i
\(69\) 304.426 953.153i 0.531139 1.66299i
\(70\) 40.4950 + 219.942i 0.0691439 + 0.375545i
\(71\) −384.018 + 665.139i −0.641895 + 1.11180i 0.343114 + 0.939294i \(0.388518\pi\)
−0.985009 + 0.172501i \(0.944815\pi\)
\(72\) −167.075 587.651i −0.273472 0.961880i
\(73\) 213.928 + 370.534i 0.342991 + 0.594079i 0.984987 0.172630i \(-0.0552265\pi\)
−0.641995 + 0.766709i \(0.721893\pi\)
\(74\) 693.545 590.927i 1.08950 0.928295i
\(75\) 427.197 269.928i 0.657713 0.415582i
\(76\) 400.852 + 64.4608i 0.605012 + 0.0972916i
\(77\) −163.055 28.7510i −0.241323 0.0425517i
\(78\) −97.5220 232.913i −0.141567 0.338105i
\(79\) −506.928 604.133i −0.721948 0.860384i 0.272871 0.962051i \(-0.412027\pi\)
−0.994818 + 0.101667i \(0.967582\pi\)
\(80\) 286.749 177.300i 0.400744 0.247785i
\(81\) 625.846 + 373.842i 0.858499 + 0.512815i
\(82\) 970.249 569.976i 1.30666 0.767602i
\(83\) −477.418 + 400.601i −0.631366 + 0.529779i −0.901353 0.433085i \(-0.857425\pi\)
0.269987 + 0.962864i \(0.412981\pi\)
\(84\) 499.301 + 374.183i 0.648550 + 0.486032i
\(85\) 50.9593 289.005i 0.0650272 0.368788i
\(86\) 128.786 155.854i 0.161481 0.195421i
\(87\) 82.3943 + 130.400i 0.101536 + 0.160693i
\(88\) 48.8938 + 244.761i 0.0592283 + 0.296496i
\(89\) −757.504 + 437.345i −0.902194 + 0.520882i −0.877911 0.478823i \(-0.841064\pi\)
−0.0242828 + 0.999705i \(0.507730\pi\)
\(90\) −104.075 + 388.589i −0.121894 + 0.455121i
\(91\) 223.333 + 128.941i 0.257271 + 0.148535i
\(92\) 1165.02 1007.91i 1.32024 1.14219i
\(93\) 212.663 + 67.9220i 0.237119 + 0.0757331i
\(94\) −159.877 + 948.496i −0.175426 + 1.04074i
\(95\) −204.794 171.842i −0.221173 0.185586i
\(96\) 252.182 906.168i 0.268106 0.963389i
\(97\) −1229.08 447.348i −1.28654 0.468261i −0.393947 0.919133i \(-0.628891\pi\)
−0.892589 + 0.450872i \(0.851113\pi\)
\(98\) 332.903 2.51156i 0.343146 0.00258884i
\(99\) −242.692 172.636i −0.246378 0.175259i
\(100\) 777.918 11.7386i 0.777918 0.0117386i
\(101\) 1344.07 236.995i 1.32416 0.233484i 0.533529 0.845782i \(-0.320866\pi\)
0.790628 + 0.612297i \(0.209754\pi\)
\(102\) −442.559 688.844i −0.429607 0.668684i
\(103\) −309.639 850.725i −0.296210 0.813829i −0.995125 0.0986247i \(-0.968556\pi\)
0.698915 0.715205i \(1.74633\pi\)
\(104\) 58.8254 384.281i 0.0554645 0.362325i
\(105\) −155.815 380.159i −0.144819 0.353330i
\(106\) 338.764 953.058i 0.310412 0.873294i
\(107\) −758.980 −0.685732 −0.342866 0.939384i \(-0.611398\pi\)
−0.342866 + 0.939384i \(0.611398\pi\)
\(108\) 522.173 + 993.503i 0.465242 + 0.885184i
\(109\) −1041.71 −0.915393 −0.457696 0.889109i \(-0.651325\pi\)
−0.457696 + 0.889109i \(0.651325\pi\)
\(110\) 55.0449 154.860i 0.0477120 0.134230i
\(111\) −1023.93 + 1324.19i −0.875560 + 1.13232i
\(112\) 355.644 + 892.377i 0.300046 + 0.752872i
\(113\) 723.369 + 1987.44i 0.602202 + 1.65454i 0.746802 + 0.665046i \(0.231588\pi\)
−0.144601 + 0.989490i \(0.546190\pi\)
\(114\) −745.033 + 35.3874i −0.612094 + 0.0290731i
\(115\) −998.963 + 176.144i −0.810032 + 0.142831i
\(116\) 3.58313 + 237.456i 0.00286798 + 0.190062i
\(117\) 263.241 + 381.956i 0.208005 + 0.301811i
\(118\) 411.028 3.10097i 0.320663 0.00241922i
\(119\) 785.765 + 285.995i 0.605302 + 0.220312i
\(120\) −448.641 + 426.995i −0.341293 + 0.324826i
\(121\) −926.395 777.338i −0.696014 0.584025i
\(122\) −340.456 + 2019.81i −0.252651 + 1.49889i
\(123\) −1529.33 + 1390.96i −1.12110 + 1.01966i
\(124\) 224.880 + 259.934i 0.162861 + 0.188248i
\(125\) −1013.91 585.380i −0.725494 0.418864i
\(126\) −1038.93 484.317i −0.734564 0.342432i
\(127\) 2043.42 1179.77i 1.42775 0.824313i 0.430809 0.902443i \(-0.358228\pi\)
0.996943 + 0.0781303i \(0.0248950\pi\)
\(128\) 1058.67 988.116i 0.731047 0.682327i
\(129\) −172.729 + 328.820i −0.117891 + 0.224426i
\(130\) −163.059 + 197.331i −0.110010 + 0.133131i
\(131\) 23.7548 134.720i 0.0158432 0.0898515i −0.975861 0.218393i \(-0.929918\pi\)
0.991704 + 0.128542i \(0.0410296\pi\)
\(132\) −180.282 421.612i −0.118875 0.278005i
\(133\) 583.540 489.648i 0.380446 0.319232i
\(134\) 733.129 430.679i 0.472632 0.277649i
\(135\) 40.4644 737.935i 0.0257972 0.470455i
\(136\) −28.5276 1260.24i −0.0179869 0.794592i
\(137\) 561.038 + 668.619i 0.349874 + 0.416963i 0.912066 0.410043i \(-0.134486\pi\)
−0.562192 + 0.827007i \(0.690042\pi\)
\(138\) −1714.24 + 2251.84i −1.05743 + 1.38905i
\(139\) 2707.38 + 477.385i 1.65207 + 0.291304i 0.920581 0.390553i \(-0.127716\pi\)
0.731486 + 0.681856i \(0.238827\pi\)
\(140\) 100.429 624.524i 0.0606273 0.377013i
\(141\) −70.5191 1765.67i −0.0421190 1.05458i
\(142\) 1653.52 1408.86i 0.977187 0.832600i
\(143\) −94.7585 164.126i −0.0554133 0.0959786i
\(144\) −111.414 + 1724.40i −0.0644756 + 0.997919i
\(145\) 78.1874 135.424i 0.0447800 0.0775613i
\(146\) −219.127 1190.16i −0.124213 0.674643i
\(147\) −597.590 + 130.155i −0.335295 + 0.0730272i
\(148\) −2408.14 + 917.869i −1.33748 + 0.509786i
\(149\) 377.406 449.775i 0.207506 0.247296i −0.652247 0.758007i \(-0.726173\pi\)
0.859752 + 0.510711i \(0.170618\pi\)
\(150\) −1394.22 + 314.695i −0.758915 + 0.171299i
\(151\) 324.585 891.790i 0.174929 0.480615i −0.820981 0.570955i \(-0.806573\pi\)
0.995911 + 0.0903400i \(0.0287954\pi\)
\(152\) −1007.24 551.520i −0.537485 0.294304i
\(153\) 1055.67 + 1071.47i 0.557813 + 0.566166i
\(154\) 407.318 + 231.086i 0.213134 + 0.120918i
\(155\) −39.3004 222.884i −0.0203657 0.115500i
\(156\) 39.2653 + 713.112i 0.0201522 + 0.365991i
\(157\) −1326.90 + 482.952i −0.674511 + 0.245502i −0.656489 0.754336i \(-0.727959\pi\)
−0.0180220 + 0.999838i \(0.505737\pi\)
\(158\) 778.706 + 2090.27i 0.392092 + 1.05249i
\(159\) −249.387 + 1841.39i −0.124388 + 0.918436i
\(160\) −932.164 + 200.882i −0.460588 + 0.0992568i
\(161\) 2890.36i 1.41486i
\(162\) −1313.78 1589.18i −0.637165 0.770728i
\(163\) 1659.44i 0.797409i 0.917080 + 0.398704i \(0.130540\pi\)
−0.917080 + 0.398704i \(0.869460\pi\)
\(164\) −3125.73 + 599.912i −1.48828 + 0.285642i
\(165\) −40.5222 + 299.202i −0.0191191 + 0.141169i
\(166\) 1651.84 615.374i 0.772337 0.287725i
\(167\) 962.850 350.449i 0.446153 0.162386i −0.109167 0.994023i \(-0.534818\pi\)
0.555320 + 0.831637i \(0.312596\pi\)
\(168\) −976.211 1470.21i −0.448311 0.675175i
\(169\) −330.248 1872.93i −0.150318 0.852493i
\(170\) −409.584 + 721.945i −0.184786 + 0.325710i
\(171\) 1326.16 344.803i 0.593066 0.154198i
\(172\) −490.865 + 293.364i −0.217605 + 0.130051i
\(173\) −944.987 + 2596.33i −0.415295 + 1.14101i 0.539042 + 0.842279i \(0.318787\pi\)
−0.954336 + 0.298734i \(0.903436\pi\)
\(174\) −96.0592 425.577i −0.0418519 0.185419i
\(175\) 938.295 1118.22i 0.405305 0.483024i
\(176\) 101.557 698.624i 0.0434951 0.299209i
\(177\) −737.831 + 160.700i −0.313327 + 0.0682425i
\(178\) 2433.10 447.974i 1.02454 0.188635i
\(179\) −2113.14 + 3660.06i −0.882364 + 1.52830i −0.0336586 + 0.999433i \(0.510716\pi\)
−0.848705 + 0.528866i \(0.822617\pi\)
\(180\) 645.478 937.028i 0.267284 0.388011i
\(181\) 958.548 + 1660.25i 0.393637 + 0.681800i 0.992926 0.118733i \(-0.0378833\pi\)
−0.599289 + 0.800533i \(0.704550\pi\)
\(182\) −473.052 555.201i −0.192665 0.226122i
\(183\) −150.169 3759.98i −0.0606604 1.51883i
\(184\) −4059.66 + 1582.53i −1.62653 + 0.634053i
\(185\) 1671.18 + 294.674i 0.664148 + 0.117107i
\(186\) −502.419 382.472i −0.198060 0.150775i
\(187\) −395.003 470.747i −0.154468 0.184088i
\(188\) 1324.59 2376.36i 0.513862 0.921883i
\(189\) 2050.71 + 478.673i 0.789244 + 0.184224i
\(190\) 383.004 + 651.974i 0.146242 + 0.248943i
\(191\) 2244.88 1883.68i 0.850441 0.713604i −0.109446 0.993993i \(-0.534908\pi\)
0.959887 + 0.280388i \(0.0904633\pi\)
\(192\) −1530.50 + 2176.11i −0.575282 + 0.817955i
\(193\) −410.087 + 2325.72i −0.152947 + 0.867404i 0.807692 + 0.589604i \(0.200716\pi\)
−0.960639 + 0.277799i \(0.910395\pi\)
\(194\) 2851.81 + 2356.52i 1.05540 + 0.872105i
\(195\) 218.696 416.327i 0.0803136 0.152891i
\(196\) −889.591 308.666i −0.324195 0.112488i
\(197\) −371.894 + 214.713i −0.134499 + 0.0776531i −0.565740 0.824584i \(-0.691409\pi\)
0.431241 + 0.902237i \(0.358076\pi\)
\(198\) 483.253 + 689.991i 0.173451 + 0.247654i
\(199\) 690.717 + 398.786i 0.246048 + 0.142056i 0.617954 0.786215i \(-0.287962\pi\)
−0.371905 + 0.928271i \(0.621295\pi\)
\(200\) −2084.33 705.638i −0.736922 0.249481i
\(201\) −1155.58 + 1051.02i −0.405513 + 0.368822i
\(202\) −3806.55 641.625i −1.32588 0.223488i
\(203\) 341.330 + 286.410i 0.118013 + 0.0990247i
\(204\) 526.911 + 2255.06i 0.180839 + 0.773949i
\(205\) 1969.37 + 716.791i 0.670958 + 0.244209i
\(206\) 19.3180 + 2560.57i 0.00653373 + 0.866035i
\(207\) 2232.23 4695.62i 0.749521 1.57666i
\(208\) −520.803 + 968.411i −0.173612 + 0.322823i
\(209\) −551.308 + 97.2105i −0.182463 + 0.0321731i
\(210\) 55.1332 + 1160.75i 0.0181169 + 0.381427i
\(211\) −1564.94 4299.63i −0.510591 1.40284i −0.880623 0.473818i \(-0.842875\pi\)
0.370032 0.929019i \(1.62065\pi\)
\(212\) −1805.66 + 2219.06i −0.584969 + 0.718894i
\(213\) −2441.21 + 3157.09i −0.785301 + 1.01559i
\(214\) 2022.74 + 718.982i 0.646128 + 0.229666i
\(215\) 376.544 0.119442
\(216\) −450.484 3142.41i −0.141905 0.989880i
\(217\) 644.882 0.201739
\(218\) 2776.24 + 986.813i 0.862525 + 0.306584i
\(219\) 843.146 + 2057.12i 0.260158 + 0.634737i
\(220\) −293.397 + 360.569i −0.0899129 + 0.110498i
\(221\) 327.359 + 899.410i 0.0996404 + 0.273760i
\(222\) 3983.26 2559.11i 1.20423 0.773676i
\(223\) −4207.82 + 741.952i −1.26357 + 0.222802i −0.764991 0.644041i \(-0.777256\pi\)
−0.498581 + 0.866843i \(0.666145\pi\)
\(224\) −102.468 2715.15i −0.0305644 0.809883i
\(225\) 2387.94 1091.99i 0.707538 0.323551i
\(226\) −45.1301 5981.92i −0.0132832 1.76067i
\(227\) 3006.83 + 1094.40i 0.879166 + 0.319990i 0.741873 0.670540i \(-0.233938\pi\)
0.137293 + 0.990531i \(0.456160\pi\)
\(228\) 2019.09 + 611.460i 0.586481 + 0.177609i
\(229\) 1724.52 + 1447.04i 0.497638 + 0.417568i 0.856754 0.515725i \(-0.172477\pi\)
−0.359116 + 0.933293i \(0.616922\pi\)
\(230\) 2829.17 + 476.880i 0.811087 + 0.136715i
\(231\) −819.544 261.753i −0.233429 0.0745544i
\(232\) 215.392 636.231i 0.0609535 0.180046i
\(233\) −1600.60 924.108i −0.450038 0.259830i 0.257808 0.966196i \(-0.417000\pi\)
−0.707846 + 0.706366i \(0.750333\pi\)
\(234\) −339.728 1267.31i −0.0949092 0.354045i
\(235\) −1551.42 + 895.713i −0.430653 + 0.248638i
\(236\) −1098.36 381.103i −0.302954 0.105117i
\(237\) −2188.94 3464.29i −0.599945 0.949492i
\(238\) −1823.20 1506.55i −0.496557 0.410317i
\(239\) 1134.74 6435.45i 0.307115 1.74174i −0.306263 0.951947i \(-0.599079\pi\)
0.613378 0.789789i \(-0.289810\pi\)
\(240\) 1600.16 712.975i 0.430373 0.191760i
\(241\) 5332.72 4474.68i 1.42535 1.19601i 0.476959 0.878926i \(-0.341739\pi\)
0.948396 0.317089i \(-0.102705\pi\)
\(242\) 1732.54 + 2949.24i 0.460214 + 0.783406i
\(243\) 2961.86 + 2361.41i 0.781908 + 0.623394i
\(244\) 2820.71 5060.43i 0.740071 1.32771i
\(245\) 398.545 + 474.968i 0.103927 + 0.123855i
\(246\) 5393.44 2258.27i 1.39786 0.585292i
\(247\) 858.683 + 151.409i 0.221201 + 0.0390037i
\(248\) −353.086 905.771i −0.0904073 0.231921i
\(249\) −2737.66 + 1729.82i −0.696756 + 0.440251i
\(250\) 2147.61 + 2520.56i 0.543307 + 0.637656i
\(251\) −586.634 1016.08i −0.147522 0.255516i 0.782789 0.622287i \(-0.213796\pi\)
−0.930311 + 0.366772i \(0.880463\pi\)
\(252\) 2310.03 + 2274.92i 0.577453 + 0.568676i
\(253\) −1062.06 + 1839.54i −0.263917 + 0.457117i
\(254\) −6563.47 + 1208.44i −1.62137 + 0.298521i
\(255\) 463.940 1452.59i 0.113934 0.356724i
\(256\) −3757.47 + 1630.53i −0.917352 + 0.398077i
\(257\) 2782.20 3315.70i 0.675288 0.804777i −0.314205 0.949355i \(-0.601738\pi\)
0.989493 + 0.144578i \(0.0461824\pi\)
\(258\) 771.826 712.704i 0.186247 0.171981i
\(259\) −1653.77 + 4543.71i −0.396759 + 1.09009i
\(260\) 621.497 371.436i 0.148245 0.0885979i
\(261\) 333.323 + 728.906i 0.0790505 + 0.172867i
\(262\) −190.929 + 336.536i −0.0450214 + 0.0793560i
\(263\) 437.815 + 2482.97i 0.102650 + 0.582155i 0.992133 + 0.125188i \(0.0399533\pi\)
−0.889483 + 0.456967i \(0.848936\pi\)
\(264\) 81.0718 + 1294.41i 0.0189001 + 0.301763i
\(265\) 1770.19 644.297i 0.410347 0.149354i
\(266\) −2019.02 + 752.161i −0.465391 + 0.173376i
\(267\) −4205.49 + 1723.69i −0.963939 + 0.395087i
\(268\) −2361.82 + 453.299i −0.538326 + 0.103320i
\(269\) 6671.76i 1.51221i −0.654450 0.756105i \(-0.727100\pi\)
0.654450 0.756105i \(-0.272900\pi\)
\(270\) −806.887 + 1928.32i −0.181872 + 0.434644i
\(271\) 3386.70i 0.759142i 0.925163 + 0.379571i \(0.123928\pi\)
−0.925163 + 0.379571i \(0.876072\pi\)
\(272\) −1117.80 + 3385.65i −0.249178 + 0.754725i
\(273\) 1060.05 + 819.682i 0.235008 + 0.181719i
\(274\) −861.825 2313.39i −0.190017 0.510062i
\(275\) −1008.05 + 366.902i −0.221047 + 0.0804546i
\(276\) 6701.74 4377.42i 1.46159 0.954673i
\(277\) 1092.44 + 6195.54i 0.236962 + 1.34388i 0.838442 + 0.544990i \(0.183467\pi\)
−0.601480 + 0.798888i \(0.705422\pi\)
\(278\) −6763.15 3836.97i −1.45909 0.827792i
\(279\) 1047.66 + 498.045i 0.224810 + 0.106872i
\(280\) −859.263 + 1569.27i −0.183396 + 0.334934i
\(281\) 1340.45 3682.85i 0.284571 0.781852i −0.712231 0.701945i \(-0.752315\pi\)
0.996802 0.0799074i \(-0.0254625\pi\)
\(282\) −1484.68 + 4772.45i −0.313516 + 1.00778i
\(283\) −3764.68 + 4486.57i −0.790767 + 0.942400i −0.999366 0.0356014i \(-0.988665\pi\)
0.208599 + 0.978001i \(0.433110\pi\)
\(284\) −5741.38 + 2188.35i −1.19961 + 0.457234i
\(285\) −934.675 1027.66i −0.194264 0.213590i
\(286\) 97.0613 + 527.174i 0.0200677 + 0.108995i
\(287\) −2985.82 + 5171.60i −0.614103 + 1.06366i
\(288\) 1930.45 4490.12i 0.394976 0.918691i
\(289\) −904.730 1567.04i −0.184150 0.318957i
\(290\) −336.663 + 286.849i −0.0681707 + 0.0580841i
\(291\) −6016.73 3160.58i −1.21205 0.636689i
\(292\) −543.444 + 3379.43i −0.108913 + 0.677282i
\(293\) −1401.28 247.083i −0.279397 0.0492653i 0.0321935 0.999482i \(-0.489751\pi\)
−0.311591 + 0.950216i \(0.600862\pi\)
\(294\) 1715.92 + 219.224i 0.340389 + 0.0434878i
\(295\) 492.075 + 586.432i 0.0971177 + 0.115740i
\(296\) 7287.36 164.962i 1.43098 0.0323926i
\(297\) −1129.26 1058.18i −0.220628 0.206739i
\(298\) −1431.89 + 841.168i −0.278346 + 0.163515i
\(299\) 2534.37 2126.59i 0.490189 0.411317i
\(300\) 4013.80 + 482.054i 0.772456 + 0.0927713i
\(301\) −186.312 + 1056.63i −0.0356771 + 0.202335i
\(302\) −1709.84 + 2069.21i −0.325795 + 0.394270i
\(303\) 7086.07 283.010i 1.34351 0.0536585i
\(304\) 2161.91 + 2424.00i 0.407874 + 0.457322i
\(305\) −3303.73 + 1907.41i −0.620233 + 0.358092i
\(306\) −1798.42 3855.58i −0.335977 0.720291i
\(307\) 7658.02 + 4421.36i 1.42367 + 0.821956i 0.996610 0.0822678i \(-0.0262163\pi\)
0.427059 + 0.904224i \(0.359550\pi\)
\(308\) −866.626 1001.71i −0.160327 0.185318i
\(309\) −1001.10 4596.44i −0.184307 0.846221i
\(310\) −106.399 + 631.230i −0.0194938 + 0.115650i
\(311\) −5841.26 4901.40i −1.06504 0.893674i −0.0704458 0.997516i \(-0.522442\pi\)
−0.994594 + 0.103841i \(0.966887\pi\)
\(312\) 570.886 1937.69i 0.103590 0.351603i
\(313\) −5960.49 2169.44i −1.07638 0.391770i −0.257821 0.966193i \(-0.583004\pi\)
−0.818559 + 0.574423i \(0.805227\pi\)
\(314\) 3993.79 30.1308i 0.717779 0.00541523i
\(315\) −537.200 2066.15i −0.0960883 0.369570i
\(316\) −95.1919 6308.40i −0.0169461 1.12302i
\(317\) −8166.82 + 1440.03i −1.44698 + 0.255142i −0.841303 0.540564i \(-0.818211\pi\)
−0.605682 + 0.795707i \(0.707100\pi\)
\(318\) 2408.98 4671.19i 0.424808 0.823733i
\(319\) −111.995 307.703i −0.0196568 0.0540065i
\(320\) 2674.58 + 347.675i 0.467230 + 0.0607363i
\(321\) −3908.09 529.290i −0.679528 0.0920314i
\(322\) −2738.03 + 7703.02i −0.473866 + 1.33314i
\(323\) 2827.27 0.487038
\(324\) 1995.90 + 5479.84i 0.342233 + 0.939615i
\(325\) 1670.85 0.285175
\(326\) 1571.99 4422.54i 0.267069 0.751355i
\(327\) −5363.92 726.458i −0.907111 0.122854i
\(328\) 8898.59 + 1362.19i 1.49800 + 0.229312i
\(329\) −1745.84 4796.65i −0.292557 0.803793i
\(330\) 391.429 759.008i 0.0652952 0.126612i
\(331\) −10362.6 + 1827.21i −1.72079 + 0.303421i −0.944878 0.327424i \(-0.893819\pi\)
−0.775909 + 0.630845i \(0.782708\pi\)
\(332\) −4985.23 + 75.2256i −0.824096 + 0.0124354i
\(333\) −6195.81 + 6104.41i −1.01961 + 1.00456i
\(334\) −2898.05 + 21.8641i −0.474773 + 0.00358188i
\(335\) 1488.07 + 541.613i 0.242692 + 0.0883328i
\(336\) 1208.94 + 4842.99i 0.196289 + 0.786330i
\(337\) 6199.68 + 5202.15i 1.00213 + 0.840887i 0.987278 0.159003i \(-0.0508278\pi\)
0.0148521 + 0.999890i \(0.495272\pi\)
\(338\) −894.090 + 5304.33i −0.143882 + 0.853603i
\(339\) 2338.75 + 10738.1i 0.374700 + 1.72039i
\(340\) 1775.47 1536.04i 0.283201 0.245010i
\(341\) −410.428 236.961i −0.0651787 0.0376309i
\(342\) −3860.96 337.349i −0.610459 0.0533385i
\(343\) −5988.66 + 3457.55i −0.942732 + 0.544287i
\(344\) 1586.10 316.840i 0.248595 0.0496595i
\(345\) −5266.64 + 210.344i −0.821873 + 0.0328248i
\(346\) 4977.96 6024.23i 0.773459 0.936024i
\(347\) 38.3628 217.566i 0.00593494 0.0336587i −0.981696 0.190452i \(-0.939005\pi\)
0.987631 + 0.156793i \(0.0501157\pi\)
\(348\) −147.144 + 1225.19i −0.0226660 + 0.188727i
\(349\) −495.476 + 415.754i −0.0759949 + 0.0637673i −0.679994 0.733218i \(-0.738018\pi\)
0.603999 + 0.796985i \(0.293573\pi\)
\(350\) −3559.91 + 2091.28i −0.543672 + 0.319382i
\(351\) 1089.10 + 2150.32i 0.165618 + 0.326996i
\(352\) −932.464 + 1765.68i −0.141195 + 0.267361i
\(353\) 199.653 + 237.938i 0.0301033 + 0.0358757i 0.780886 0.624673i \(-0.214768\pi\)
−0.750783 + 0.660549i \(0.770323\pi\)
\(354\) 2118.61 + 270.672i 0.318087 + 0.0406385i
\(355\) 3984.35 + 702.549i 0.595683 + 0.105035i
\(356\) −6908.77 1110.99i −1.02855 0.165401i
\(357\) 3846.57 + 2020.60i 0.570258 + 0.299556i
\(358\) 9098.84 7752.55i 1.34326 1.14451i
\(359\) −3865.75 6695.67i −0.568318 0.984356i −0.996732 0.0807739i \(-0.974261\pi\)
0.428414 0.903583i \(1.64093\pi\)
\(360\) −2607.89 + 1885.79i −0.381800 + 0.276083i
\(361\) −2141.71 + 3709.54i −0.312248 + 0.540829i
\(362\) −981.844 5332.73i −0.142554 0.774261i
\(363\) −4228.05 4648.66i −0.611336 0.672153i
\(364\) 734.778 + 1927.77i 0.105804 + 0.277590i
\(365\) 1448.74 1726.54i 0.207755 0.247592i
\(366\) −3161.61 + 10162.9i −0.451530 + 1.45143i
\(367\) 1856.53 5100.78i 0.264061 0.725500i −0.734823 0.678259i \(-0.762735\pi\)
0.998883 0.0472415i \(-0.0150430\pi\)
\(368\) 12318.4 371.847i 1.74495 0.0526736i
\(369\) −8844.76 + 6095.72i −1.24780 + 0.859975i
\(370\) −4174.67 2368.43i −0.586569 0.332781i
\(371\) 932.091 + 5286.15i 0.130436 + 0.739739i
\(372\) 976.668 + 1495.26i 0.136123 + 0.208402i
\(373\) 12314.2 4482.01i 1.70940 0.622171i 0.712560 0.701611i \(-0.247536\pi\)
0.996840 + 0.0794402i \(0.0253133\pi\)
\(374\) 606.775 + 1628.76i 0.0838920 + 0.225191i
\(375\) −4812.53 3721.28i −0.662715 0.512442i
\(376\) −5781.27 + 5078.39i −0.792942 + 0.696538i
\(377\) 510.018i 0.0696744i
\(378\) −5011.84 3218.34i −0.681961 0.437919i
\(379\) 2718.66i 0.368465i 0.982883 + 0.184233i \(0.0589800\pi\)
−0.982883 + 0.184233i \(0.941020\pi\)
\(380\) −403.120 2100.38i −0.0544201 0.283545i
\(381\) 11344.6 4649.79i 1.52547 0.625238i
\(382\) −7767.20 + 2893.57i −1.04033 + 0.387560i
\(383\) 3898.55 1418.96i 0.520122 0.189309i −0.0686003 0.997644i \(-0.521853\pi\)
0.588722 + 0.808335i \(0.299631\pi\)
\(384\) 6140.32 4349.66i 0.816007 0.578041i
\(385\) 151.453 + 858.932i 0.0200487 + 0.113702i
\(386\) 3296.07 5809.74i 0.434625 0.766083i
\(387\) −1118.71 + 1572.69i −0.146944 + 0.206574i
\(388\) −5367.96 8981.83i −0.702363 1.17521i
\(389\) −904.262 + 2484.44i −0.117861 + 0.323820i −0.984569 0.174995i \(-0.944009\pi\)
0.866708 + 0.498815i \(0.166231\pi\)
\(390\) −977.229 + 902.373i −0.126882 + 0.117163i
\(391\) 6895.56 8217.80i 0.891875 1.06290i
\(392\) 2078.43 + 1665.33i 0.267797 + 0.214571i
\(393\) 216.267 677.127i 0.0277588 0.0869123i
\(394\) 1194.52 219.931i 0.152739 0.0281217i
\(395\) −2077.18 + 3597.78i −0.264593 + 0.458288i
\(396\) −634.278 2296.66i −0.0804890 0.291444i
\(397\) −1188.26 2058.12i −0.150219 0.260186i 0.781089 0.624420i \(-0.214664\pi\)
−0.931308 + 0.364233i \(0.881331\pi\)
\(398\) −1463.04 1717.11i −0.184261 0.216259i
\(399\) 3346.19 2114.32i 0.419848 0.265285i
\(400\) 4886.45 + 3855.06i 0.610806 + 0.481883i
\(401\) 11235.9 + 1981.20i 1.39924 + 0.246724i 0.821832 0.569731i \(-0.192952\pi\)
0.577410 + 0.816455i \(0.304064\pi\)
\(402\) 4075.33 1706.37i 0.505619 0.211706i
\(403\) 474.474 + 565.456i 0.0586483 + 0.0698943i
\(404\) 9536.92 + 5315.92i 1.17445 + 0.654646i
\(405\) 722.971 3771.52i 0.0887030 0.462736i
\(406\) −638.353 1086.64i −0.0780319 0.132831i
\(407\) 2722.10 2284.12i 0.331523 0.278181i
\(408\) 731.960 6509.04i 0.0888172 0.789817i
\(409\) 1256.21 7124.30i 0.151871 0.861306i −0.809719 0.586818i \(-0.800381\pi\)
0.961591 0.274488i \(-0.0885084\pi\)
\(410\) −4569.49 3775.88i −0.550417 0.454823i
\(411\) 2422.59 + 3834.07i 0.290748 + 0.460147i
\(412\) 2374.14 6842.40i 0.283897 0.818206i
\(413\) −1889.07 + 1090.66i −0.225073 + 0.129946i
\(414\) −10397.2 + 10399.6i −1.23429 + 1.23457i
\(415\) 2843.15 + 1641.49i 0.336301 + 0.194163i
\(416\) 2305.36 2087.53i 0.271705 0.246033i
\(417\) 13607.8 + 4346.17i 1.59802 + 0.510391i
\(418\) 1561.36 + 263.181i 0.182701 + 0.0307957i
\(419\) −1085.39 910.750i −0.126551 0.106189i 0.577316 0.816521i \(-0.304100\pi\)
−0.703866 + 0.710332i \(0.748545\pi\)
\(420\) 952.649 3145.73i 0.110677 0.365466i
\(421\) −3561.79 1296.39i −0.412330 0.150076i 0.127522 0.991836i \(-0.459298\pi\)
−0.539852 + 0.841760i \(0.681520\pi\)
\(422\) 97.6346 + 12941.3i 0.0112625 + 1.49283i
\(423\) 868.214 9140.87i 0.0997967 1.05070i
\(424\) 6914.34 4203.45i 0.791958 0.481457i
\(425\) 5335.48 940.790i 0.608962 0.107376i
\(426\) 9496.73 6101.33i 1.08009 0.693921i
\(427\) −3717.74 10214.4i −0.421345 1.15763i
\(428\) −4709.65 3832.28i −0.531892 0.432804i
\(429\) −373.468 911.192i −0.0420308 0.102547i
\(430\) −1003.52 356.700i −0.112544 0.0400038i
\(431\) 9612.99 1.07434 0.537171 0.843473i \(-0.319493\pi\)
0.537171 + 0.843473i \(0.319493\pi\)
\(432\) −1776.23 + 8801.51i −0.197822 + 0.980238i
\(433\) −6852.39 −0.760519 −0.380259 0.924880i \(-0.624165\pi\)
−0.380259 + 0.924880i \(0.624165\pi\)
\(434\) −1718.66 610.897i −0.190088 0.0675668i
\(435\) 497.039 642.794i 0.0547843 0.0708497i
\(436\) −6464.07 5259.86i −0.710030 0.577756i
\(437\) −3342.43 9183.26i −0.365882 1.00525i
\(438\) −298.337 6281.09i −0.0325459 0.685211i
\(439\) 5818.42 1025.94i 0.632569 0.111539i 0.151836 0.988406i \(-0.451482\pi\)
0.480734 + 0.876867i \(0.340370\pi\)
\(440\) 1123.49 683.007i 0.121728 0.0740025i
\(441\) −3167.84 + 253.445i −0.342063 + 0.0273669i
\(442\) −20.4235 2707.10i −0.00219785 0.291321i
\(443\) 5353.56 + 1948.54i 0.574165 + 0.208979i 0.612751 0.790276i \(-0.290063\pi\)
−0.0385855 + 0.999255i \(0.512285\pi\)
\(444\) −13039.9 + 3046.88i −1.39380 + 0.325672i
\(445\) 3529.66 + 2961.74i 0.376005 + 0.315505i
\(446\) 11917.0 + 2008.71i 1.26522 + 0.213263i
\(447\) 2256.98 2052.77i 0.238818 0.217209i
\(448\) −2298.98 + 7333.15i −0.242448 + 0.773346i
\(449\) 16226.7 + 9368.48i 1.70553 + 0.984690i 0.939924 + 0.341384i \(0.110896\pi\)
0.765609 + 0.643306i \(0.222438\pi\)
\(450\) −7398.47 + 648.127i −0.775039 + 0.0678956i
\(451\) 3800.59 2194.27i 0.396813 0.229100i
\(452\) −5546.40 + 15985.0i −0.577170 + 1.66343i
\(453\) 2293.24 4365.60i 0.237850 0.452790i
\(454\) −6976.71 5765.03i −0.721219 0.595961i
\(455\) 235.894 1337.82i 0.0243052 0.137842i
\(456\) −4801.79 3542.27i −0.493124 0.363777i
\(457\) −1064.57 + 893.282i −0.108968 + 0.0914354i −0.695644 0.718387i \(-0.744881\pi\)
0.586675 + 0.809822i \(0.300436\pi\)
\(458\) −3225.18 5490.10i −0.329045 0.560122i
\(459\) 4688.56 + 6253.35i 0.476782 + 0.635907i
\(460\) −7088.20 3951.00i −0.718455 0.400470i
\(461\) 615.731 + 733.799i 0.0622070 + 0.0741354i 0.796251 0.604967i \(-0.206814\pi\)
−0.734044 + 0.679102i \(0.762369\pi\)
\(462\) 1936.19 + 1473.94i 0.194977 + 0.148429i
\(463\) −3521.31 620.902i −0.353454 0.0623234i −0.00589757 0.999983i \(-0.501877\pi\)
−0.347556 + 0.937659i \(0.612988\pi\)
\(464\) −1176.74 + 1491.56i −0.117734 + 0.149233i
\(465\) −46.9309 1175.07i −0.00468036 0.117188i
\(466\) 3390.32 + 3979.07i 0.337024 + 0.395551i
\(467\) 338.092 + 585.593i 0.0335012 + 0.0580257i 0.882290 0.470706i \(-0.156001\pi\)
−0.848789 + 0.528732i \(0.822668\pi\)
\(468\) −295.121 + 3699.30i −0.0291495 + 0.365385i
\(469\) −2256.11 + 3907.70i −0.222127 + 0.384736i
\(470\) 4983.16 917.481i 0.489055 0.0900431i
\(471\) −7169.20 + 1561.45i −0.701357 + 0.152755i
\(472\) 2566.19 + 2056.14i 0.250251 + 0.200512i
\(473\) 506.831 604.018i 0.0492688 0.0587162i
\(474\) 2551.97 + 11306.2i 0.247291 + 1.09559i
\(475\) 1688.04 4637.86i 0.163058 0.447999i
\(476\) 3431.80 + 5742.20i 0.330455 + 0.552927i
\(477\) −2568.26 + 9307.64i −0.246525 + 0.893433i
\(478\) −9120.48 + 16076.0i −0.872722 + 1.53828i
\(479\) 1914.93 + 10860.1i 0.182663 + 1.03593i 0.928922 + 0.370276i \(0.120737\pi\)
−0.746259 + 0.665655i \(0.768152\pi\)
\(480\) −4939.94 + 384.305i −0.469742 + 0.0365438i
\(481\) −5200.86 + 1892.96i −0.493012 + 0.179442i
\(482\) −18451.0 + 6873.67i −1.74361 + 0.649559i
\(483\) 2015.65 14882.9i 0.189887 1.40206i
\(484\) −1823.53 9501.17i −0.171256 0.892296i
\(485\) 6889.99i 0.645068i
\(486\) −5656.62 9099.12i −0.527962 0.849268i
\(487\) 3844.78i 0.357749i −0.983872 0.178874i \(-0.942754\pi\)
0.983872 0.178874i \(-0.0572455\pi\)
\(488\) −12311.1 + 10814.4i −1.14201 + 1.00316i
\(489\) −1157.25 + 8544.71i −0.107019 + 0.790194i
\(490\) −612.216 1643.37i −0.0564430 0.151510i
\(491\) −6612.94 + 2406.91i −0.607817 + 0.221227i −0.627548 0.778578i \(-0.715941\pi\)
0.0197310 + 0.999805i \(0.493719\pi\)
\(492\) −16513.2 + 909.246i −1.51315 + 0.0833170i
\(493\) 287.171 + 1628.63i 0.0262344 + 0.148782i
\(494\) −2145.02 1216.95i −0.195363 0.110836i
\(495\) −417.309 + 1512.37i −0.0378922 + 0.137326i
\(496\) 82.9647 + 2748.43i 0.00751054 + 0.248806i
\(497\) −3942.86 + 10832.9i −0.355858 + 0.977713i
\(498\) 8934.72 2016.70i 0.803965 0.181467i
\(499\) 10804.6 12876.4i 0.969299 1.15517i −0.0185620 0.999828i \(-0.505909\pi\)
0.987861 0.155338i \(-0.0496468\pi\)
\(500\) −3335.82 8751.91i −0.298365 0.782794i
\(501\) 5202.24 1133.05i 0.463910 0.101040i
\(502\) 600.891 + 3263.65i 0.0534245 + 0.290167i
\(503\) −7323.41 + 12684.5i −0.649175 + 1.12440i 0.334146 + 0.942521i \(0.391552\pi\)
−0.983320 + 0.181882i \(0.941781\pi\)
\(504\) −4001.37 8251.12i −0.353641 0.729234i
\(505\) −3594.72 6226.23i −0.316758 0.548641i
\(506\) 4573.05 3896.41i 0.401773 0.342326i
\(507\) −394.368 9874.28i −0.0345454 0.864955i
\(508\) 18636.9 + 2996.99i 1.62771 + 0.261752i
\(509\) −14458.7 2549.46i −1.25908 0.222010i −0.496005 0.868320i \(-0.665200\pi\)
−0.763075 + 0.646310i \(0.776311\pi\)
\(510\) −2612.47 + 3431.77i −0.226828 + 0.297963i
\(511\) 4128.04 + 4919.60i 0.357365 + 0.425891i
\(512\) 11558.5 786.016i 0.997696 0.0678463i
\(513\) 7069.07 850.614i 0.608396 0.0732076i
\(514\) −10555.7 + 6201.01i −0.905825 + 0.532130i
\(515\) −3653.27 + 3065.46i −0.312587 + 0.262292i
\(516\) −2732.12 + 1168.26i −0.233091 + 0.0996700i
\(517\) −651.402 + 3694.28i −0.0554132 + 0.314264i
\(518\) 8711.69 10542.7i 0.738937 0.894246i
\(519\) −6676.47 + 12709.9i −0.564672 + 1.07495i
\(520\) −2008.20 + 401.159i −0.169356 + 0.0338308i
\(521\) 4863.73 2808.07i 0.408990 0.236130i −0.281366 0.959601i \(-0.590787\pi\)
0.690356 + 0.723470i \(0.257454\pi\)
\(522\) −197.838 2258.35i −0.0165883 0.189358i
\(523\) −6896.08 3981.45i −0.576567 0.332881i 0.183201 0.983075i \(-0.441354\pi\)
−0.759768 + 0.650195i \(0.774687\pi\)
\(524\) 827.639 716.027i 0.0689992 0.0596942i
\(525\) 5611.22 5103.52i 0.466465 0.424258i
\(526\) 1185.31 7032.05i 0.0982548 0.582913i
\(527\) 1833.52 + 1538.50i 0.151554 + 0.127169i
\(528\) 1010.13 3526.49i 0.0832582 0.290665i
\(529\) −23411.1 8520.94i −1.92415 0.700332i
\(530\) −5328.03 + 40.1969i −0.436670 + 0.00329442i
\(531\) −3911.27 + 312.923i −0.319651 + 0.0255738i
\(532\) 6093.36 91.9470i 0.496580 0.00749325i
\(533\) −6731.48 + 1186.94i −0.547041 + 0.0964581i
\(534\) 12840.8 609.908i 1.04059 0.0494257i
\(535\) 1367.43 + 3756.99i 0.110503 + 0.303606i
\(536\) 6723.85 + 1029.28i 0.541840 + 0.0829444i
\(537\) −13433.3 + 17372.5i −1.07949 + 1.39605i
\(538\) −6320.16 + 17780.7i −0.506471 + 1.42487i
\(539\) 1298.34 0.103754
\(540\) 3977.11 4374.76i 0.316940 0.348629i
\(541\) −11590.3 −0.921081 −0.460541 0.887639i \(-0.652344\pi\)
−0.460541 + 0.887639i \(0.652344\pi\)
\(542\) 3208.22 9025.81i 0.254253 0.715299i
\(543\) 3777.89 + 9217.35i 0.298572 + 0.728461i
\(544\) 6186.24 7964.13i 0.487560 0.627682i
\(545\) 1876.82 + 5156.53i 0.147513 + 0.405287i
\(546\) −2048.63 3188.70i −0.160574 0.249934i
\(547\) −1509.97 + 266.248i −0.118028 + 0.0208116i −0.232350 0.972632i \(-0.574642\pi\)
0.114322 + 0.993444i \(0.463530\pi\)
\(548\) 105.353 + 6981.77i 0.00821250 + 0.544245i
\(549\) 1848.85 19465.4i 0.143729 1.51323i
\(550\) 3034.11 22.8906i 0.235227 0.00177465i
\(551\) 1415.68 + 515.266i 0.109456 + 0.0398386i
\(552\) −22007.4 + 5317.59i −1.69691 + 0.410021i
\(553\) −9067.99 7608.95i −0.697306 0.585109i
\(554\) 2957.60 17546.5i 0.226817 1.34563i
\(555\) 8399.63 + 2682.75i 0.642423 + 0.205182i
\(556\) 14389.5 + 16632.5i 1.09758 + 1.26866i
\(557\) 5853.94 + 3379.77i 0.445313 + 0.257102i 0.705849 0.708363i \(-0.250566\pi\)
−0.260536 + 0.965464i \(0.583899\pi\)
\(558\) −2320.30 2319.78i −0.176033 0.175993i
\(559\) −1063.57 + 614.051i −0.0804725 + 0.0464608i
\(560\) 3776.57 3368.23i 0.284980 0.254167i
\(561\) −1705.64 2699.41i −0.128364 0.203153i
\(562\) −7061.16 + 8545.26i −0.529995 + 0.641388i
\(563\) −985.836 + 5590.96i −0.0737976 + 0.418527i 0.925419 + 0.378946i \(0.123713\pi\)
−0.999216 + 0.0395810i \(0.987398\pi\)
\(564\) 8477.73 11312.5i 0.632938 0.844578i
\(565\) 8534.67 7161.44i 0.635498 0.533246i
\(566\) 14283.3 8390.77i 1.06073 0.623128i
\(567\) 10225.6 + 3894.86i 0.757379 + 0.288481i
\(568\) 17374.2 393.295i 1.28346 0.0290533i
\(569\) −583.005 694.798i −0.0429540 0.0511906i 0.744140 0.668024i \(-0.232860\pi\)
−0.787094 + 0.616833i \(0.788415\pi\)
\(570\) 1517.48 + 3624.20i 0.111509 + 0.266318i
\(571\) −7083.28 1248.97i −0.519135 0.0915375i −0.0920596 0.995753i \(-0.529345\pi\)
−0.427076 + 0.904216i \(0.640456\pi\)
\(572\) 240.716 1496.90i 0.0175959 0.109421i
\(573\) 12872.9 8133.83i 0.938519 0.593012i
\(574\) 12856.5 10954.2i 0.934878 0.796551i
\(575\) −9363.47 16218.0i −0.679102 1.17624i
\(576\) −9398.30 + 10137.8i −0.679854 + 0.733348i
\(577\) 8107.52 14042.6i 0.584958 1.01318i −0.409923 0.912120i \(-0.634444\pi\)
0.994881 0.101056i \(-0.0322222\pi\)
\(578\) 926.717 + 5033.32i 0.0666892 + 0.362212i
\(579\) −3733.48 + 11689.5i −0.267976 + 0.839029i
\(580\) 1168.96 445.554i 0.0836872 0.0318977i
\(581\) −6012.99 + 7166.00i −0.429365 + 0.511697i
\(582\) 13041.0 + 14122.8i 0.928811 + 1.00586i
\(583\) 1349.17 3706.81i 0.0958436 0.263328i
\(584\) 4649.66 8491.63i 0.329459 0.601689i
\(585\) 1416.43 1991.22i 0.100106 0.140729i
\(586\) 3500.44 + 1985.92i 0.246761 + 0.139996i
\(587\) −3657.91 20745.0i −0.257203 1.45867i −0.790354 0.612650i \(-0.790104\pi\)
0.533152 0.846020i \(1.67899\pi\)
\(588\) −4365.38 2209.74i −0.306165 0.154980i
\(589\) 2048.92 745.747i 0.143335 0.0521697i
\(590\) −755.889 2029.03i −0.0527449 0.141583i
\(591\) −2064.67 + 846.240i −0.143704 + 0.0588996i
\(592\) −19577.6 6463.68i −1.35918 0.448742i
\(593\) 2362.18i 0.163580i −0.996650 0.0817901i \(-0.973936\pi\)
0.996650 0.0817901i \(-0.0260637\pi\)
\(594\) 2007.16 + 3889.87i 0.138645 + 0.268692i
\(595\) 4404.86i 0.303498i
\(596\) 4612.93 885.347i 0.317035 0.0608477i
\(597\) 3278.50 + 2535.09i 0.224757 + 0.173793i
\(598\) −8768.81 + 3266.71i −0.599638 + 0.223388i
\(599\) −9512.46 + 3462.25i −0.648862 + 0.236167i −0.645420 0.763828i \(-0.723318\pi\)
−0.00344180 + 0.999994i \(0.501096\pi\)
\(600\) −10240.4 5086.98i −0.696773 0.346125i
\(601\) 3245.05 + 18403.6i 0.220247 + 1.24908i 0.871567 + 0.490277i \(0.163104\pi\)
−0.651320 + 0.758803i \(0.725784\pi\)
\(602\) 1497.48 2639.49i 0.101383 0.178700i
\(603\) −6683.18 + 4605.98i −0.451343 + 0.311061i
\(604\) 6517.00 3894.86i 0.439028 0.262384i
\(605\) −2178.81 + 5986.22i −0.146415 + 0.402272i
\(606\) −19153.0 5958.39i −1.28389 0.399411i
\(607\) −4173.34 + 4973.60i −0.279062 + 0.332573i −0.887310 0.461174i \(-0.847428\pi\)
0.608247 + 0.793747i \(0.291873\pi\)
\(608\) −3465.39 8508.11i −0.231151 0.567515i
\(609\) 1557.82 + 1712.80i 0.103655 + 0.113967i
\(610\) 10611.6 1953.76i 0.704344 0.129681i
\(611\) 2921.38 5059.97i 0.193431 0.335032i
\(612\) 1140.53 + 11979.1i 0.0753319 + 0.791217i
\(613\) 743.166 + 1287.20i 0.0489661 + 0.0848117i 0.889470 0.456994i \(-0.151074\pi\)
−0.840504 + 0.541806i \(0.817741\pi\)
\(614\) −16220.8 19037.7i −1.06616 1.25130i
\(615\) 9640.68 + 5064.23i 0.632113 + 0.332048i
\(616\) 1360.70 + 3490.59i 0.0890002 + 0.228312i
\(617\) 9684.81 + 1707.69i 0.631922 + 0.111425i 0.480429 0.877034i \(-0.340481\pi\)
0.151493 + 0.988458i \(0.451592\pi\)
\(618\) −1686.19 + 13198.2i −0.109755 + 0.859076i
\(619\) 10619.1 + 12655.3i 0.689527 + 0.821747i 0.991298 0.131634i \(-0.0420223\pi\)
−0.301771 + 0.953380i \(0.597578\pi\)
\(620\) 881.526 1581.48i 0.0571015 0.102442i
\(621\) 14768.7 22621.7i 0.954342 1.46180i
\(622\) 10924.3 + 18596.0i 0.704219 + 1.19877i
\(623\) −10057.4 + 8439.18i −0.646777 + 0.542710i
\(624\) −3357.03 + 4623.30i −0.215367 + 0.296602i
\(625\) 1040.00 5898.10i 0.0665597 0.377479i
\(626\) 13830.0 + 11428.1i 0.883002 + 0.729646i
\(627\) −2906.55 + 116.085i −0.185130 + 0.00739391i
\(628\) −10672.3 3703.02i −0.678138 0.235297i
\(629\) −15542.0 + 8973.15i −0.985212 + 0.568812i
\(630\) −525.587 + 6015.34i −0.0332379 + 0.380408i
\(631\) −11670.9 6738.17i −0.736306 0.425107i 0.0844184 0.996430i \(-0.473097\pi\)
−0.820725 + 0.571324i \(0.806430\pi\)
\(632\) −5722.26 + 16902.5i −0.360157 + 1.06384i
\(633\) −5059.65 23230.7i −0.317698 1.45867i
\(634\) 23129.3 + 3898.64i 1.44887 + 0.244219i
\(635\) −9521.52 7989.50i −0.595039 0.499297i
\(636\) −10845.1 + 10167.0i −0.676159 + 0.633882i
\(637\) −1900.27 691.640i −0.118197 0.0430201i
\(638\) 6.98723 + 926.145i 0.000433585 + 0.0574709i
\(639\) −14771.8 + 14553.9i −0.914498 + 0.901006i
\(640\) −6798.61 3460.21i −0.419904 0.213714i
\(641\) 7851.26 1384.39i 0.483785 0.0853043i 0.0735638 0.997291i \(-0.476563\pi\)
0.410221 + 0.911986i \(0.365452\pi\)
\(642\) 9913.97 + 5112.74i 0.609460 + 0.314305i
\(643\) 10041.1 + 27587.6i 0.615833 + 1.69199i 0.716960 + 0.697115i \(0.245533\pi\)
−0.101126 + 0.994874i \(0.532245\pi\)
\(644\) 14594.1 17935.4i 0.892996 1.09744i
\(645\) 1938.88 + 262.591i 0.118362 + 0.0160302i
\(646\) −7534.88 2678.27i −0.458910 0.163119i
\(647\) 6716.28 0.408105 0.204053 0.978960i \(-0.434589\pi\)
0.204053 + 0.978960i \(0.434589\pi\)
\(648\) −128.182 16494.9i −0.00777081 0.999970i
\(649\) 1603.04 0.0969565
\(650\) −4452.93 1582.79i −0.268705 0.0955112i
\(651\) 3320.59 + 449.721i 0.199914 + 0.0270752i
\(652\) −8378.94 + 10297.2i −0.503289 + 0.618514i
\(653\) 2939.30 + 8075.65i 0.176146 + 0.483958i 0.996076 0.0885069i \(-0.0282095\pi\)
−0.819929 + 0.572465i \(0.805987\pi\)
\(654\) 13607.1 + 7017.31i 0.813576 + 0.419569i
\(655\) −709.671 + 125.134i −0.0423345 + 0.00746472i
\(656\) −22425.0 12060.0i −1.33468 0.717779i
\(657\) 2906.91 + 11180.4i 0.172617 + 0.663910i
\(658\) 108.921 + 14437.3i 0.00645316 + 0.855355i
\(659\) −12574.8 4576.84i −0.743313 0.270544i −0.0575237 0.998344i \(-0.518320\pi\)
−0.685789 + 0.727800i \(0.740543\pi\)
\(660\) −1762.20 + 1652.01i −0.103929 + 0.0974311i
\(661\) −1881.54 1578.80i −0.110716 0.0929018i 0.585749 0.810493i \(-0.300800\pi\)
−0.696465 + 0.717591i \(0.745245\pi\)
\(662\) 29348.0 + 4946.85i 1.72303 + 0.290430i
\(663\) 1058.39 + 4859.48i 0.0619979 + 0.284656i
\(664\) 13357.3 + 4522.03i 0.780667 + 0.264290i
\(665\) −3475.13 2006.37i −0.202647 0.116998i
\(666\) 22295.0 10399.4i 1.29717 0.605059i
\(667\) 4950.46 2858.15i 0.287380 0.165919i
\(668\) 7744.22 + 2687.05i 0.448552 + 0.155636i
\(669\) −22184.1 + 886.009i −1.28204 + 0.0512034i
\(670\) −3452.75 2853.09i −0.199091 0.164514i
\(671\) −1387.15 + 7866.93i −0.0798069 + 0.452607i
\(672\) 1365.84 14052.2i 0.0784057 0.806658i
\(673\) 15220.5 12771.5i 0.871777 0.731508i −0.0926942 0.995695i \(-0.529548\pi\)
0.964472 + 0.264187i \(0.0851034\pi\)
\(674\) −11594.6 19737.1i −0.662622 1.12796i
\(675\) 13057.4 3957.51i 0.744560 0.225666i
\(676\) 7407.61 13289.5i 0.421462 0.756115i
\(677\) −2974.65 3545.05i −0.168870 0.201252i 0.674972 0.737844i \(-0.264156\pi\)
−0.843842 + 0.536592i \(0.819711\pi\)
\(678\) 3939.23 30833.2i 0.223135 1.74652i
\(679\) −19334.1 3409.12i −1.09274 0.192680i
\(680\) −6186.85 + 2411.75i −0.348904 + 0.136009i
\(681\) 14719.4 + 7732.09i 0.828266 + 0.435087i
\(682\) 869.349 + 1020.32i 0.0488110 + 0.0572873i
\(683\) −7698.62 13334.4i −0.431302 0.747037i 0.565684 0.824622i \(-0.308612\pi\)
−0.996986 + 0.0775851i \(0.975279\pi\)
\(684\) 9970.18 + 4556.55i 0.557338 + 0.254714i
\(685\) 2298.90 3981.81i 0.128228 0.222098i
\(686\) 19235.6 3541.58i 1.07058 0.197111i
\(687\) 7870.65 + 8653.64i 0.437095 + 0.480578i
\(688\) −4527.21 658.106i −0.250869 0.0364681i
\(689\) −3949.30 + 4706.60i −0.218369 + 0.260243i
\(690\) 14235.2 + 4428.50i 0.785401 + 0.244334i
\(691\) 3042.58 8359.43i 0.167504 0.460214i −0.827331 0.561714i \(-0.810142\pi\)
0.994836 + 0.101500i \(0.0323643\pi\)
\(692\) −18973.4 + 11339.4i −1.04228 + 0.622917i
\(693\) −4037.41 1919.33i −0.221311 0.105208i
\(694\) −308.341 + 543.490i −0.0168652 + 0.0297271i
\(695\) −2514.74 14261.8i −0.137251 0.778390i
\(696\) 1552.78 3125.84i 0.0845658 0.170236i
\(697\) −20827.2 + 7580.47i −1.13183 + 0.411953i
\(698\) 1714.32 638.650i 0.0929629 0.0346322i
\(699\) −7597.29 5874.58i −0.411095 0.317878i
\(700\) 11468.5 2201.12i 0.619241 0.118849i
\(701\) 6775.34i 0.365051i −0.983201 0.182526i \(-0.941573\pi\)
0.983201 0.182526i \(-0.0584273\pi\)
\(702\) −865.526 6762.47i −0.0465345 0.363580i
\(703\) 16348.7i 0.877105i
\(704\) 4157.72 3822.35i 0.222585 0.204631i
\(705\) −8613.13 + 3530.24i −0.460127 + 0.188591i
\(706\) −306.693 823.253i −0.0163492 0.0438860i
\(707\) 19250.1 7006.48i 1.02401 0.372710i
\(708\) −5389.84 2728.32i −0.286105 0.144825i
\(709\) 5799.24 + 32889.1i 0.307186 + 1.74214i 0.613032 + 0.790058i \(0.289950\pi\)
−0.305845 + 0.952081i \(0.598939\pi\)
\(710\) −9953.07 5646.72i −0.526102 0.298476i
\(711\) −8855.28 19364.6i −0.467087 1.02142i
\(712\) 17359.9 + 9505.56i 0.913751 + 0.500331i
\(713\) 2829.61 7774.29i 0.148625 0.408344i
\(714\) −8337.29 9028.91i −0.436996 0.473247i
\(715\) −641.712 + 764.762i −0.0335646 + 0.0400007i
\(716\) −31593.1 + 12041.8i −1.64901 + 0.628524i
\(717\) 10330.9 32345.7i 0.538093 1.68476i
\(718\) 3959.69 + 21506.5i 0.205814 + 1.11785i
\(719\) −1043.74 + 1807.81i −0.0541376 + 0.0937691i −0.891824 0.452382i \(-0.850574\pi\)
0.837687 + 0.546151i \(0.183908\pi\)
\(720\) 8736.64 2555.31i 0.452216 0.132265i
\(721\) −6794.41 11768.3i −0.350953 0.607868i
\(722\) 9221.86 7857.37i 0.475349 0.405015i
\(723\) 30579.4 19321.9i 1.57298 0.993899i
\(724\) −2435.01 + 15142.2i −0.124995 + 0.777288i
\(725\) 2843.07 + 501.309i 0.145640 + 0.0256802i
\(726\) 6864.38 + 16394.3i 0.350911 + 0.838083i
\(727\) 1316.03 + 1568.39i 0.0671375 + 0.0800114i 0.798568 0.601905i \(-0.205591\pi\)
−0.731430 + 0.681916i \(0.761147\pi\)
\(728\) −132.056 5833.72i −0.00672297 0.296994i
\(729\) 13604.3 + 14224.8i 0.691169 + 0.722693i
\(730\) −5496.54 + 3228.96i −0.278680 + 0.163711i
\(731\) −3050.52 + 2559.69i −0.154347 + 0.129512i
\(732\) 18053.2 24089.8i 0.911566 1.21637i
\(733\) −3826.83 + 21703.0i −0.192834 + 1.09361i 0.722636 + 0.691228i \(0.242930\pi\)
−0.915470 + 0.402386i \(0.868181\pi\)
\(734\) −9779.77 + 11835.3i −0.491796 + 0.595161i
\(735\) 1720.94 + 2723.61i 0.0863643 + 0.136683i
\(736\) −33181.8 10678.2i −1.66182 0.534790i
\(737\) 2871.76 1658.01i 0.143531 0.0828679i
\(738\) 29346.4 7866.92i 1.46376 0.392392i
\(739\) 2718.48 + 1569.51i 0.135319 + 0.0781265i 0.566131 0.824315i \(-0.308440\pi\)
−0.430812 + 0.902442i \(0.641773\pi\)
\(740\) 8882.18 + 10266.7i 0.441237 + 0.510016i
\(741\) 4315.89 + 1378.45i 0.213965 + 0.0683381i
\(742\) 2523.48 14971.0i 0.124852 0.740702i
\(743\) 3908.14 + 3279.32i 0.192969 + 0.161920i 0.734153 0.678984i \(-0.237579\pi\)
−0.541184 + 0.840904i \(0.682024\pi\)
\(744\) −1186.43 4910.18i −0.0584635 0.241957i
\(745\) −2906.38 1057.84i −0.142928 0.0520216i
\(746\) −37064.1 + 279.627i −1.81905 + 0.0137237i
\(747\) −15302.9 + 6997.90i −0.749538 + 0.342758i
\(748\) −74.1745 4915.57i −0.00362579 0.240282i
\(749\) −11219.1 + 1978.24i −0.547315 + 0.0965064i
\(750\) 9300.59 + 14476.4i 0.452813 + 0.704804i
\(751\) 2898.81 + 7964.42i 0.140851 + 0.386985i 0.989981 0.141199i \(-0.0450956\pi\)
−0.849130 + 0.528183i \(0.822873\pi\)
\(752\) 20218.3 8057.70i 0.980432 0.390737i
\(753\) −2312.08 5641.05i −0.111895 0.273003i
\(754\) 483.140 1359.24i 0.0233354 0.0656504i