Properties

Label 108.4.l.a.11.6
Level 108
Weight 4
Character 108.11
Analytic conductor 6.372
Analytic rank 0
Dimension 312
CM no
Inner twists 4

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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 11.6
Character \(\chi\) \(=\) 108.11
Dual form 108.4.l.a.59.6

$q$-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 \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(55\)
\(\chi(n)\) \(e\left(\frac{13}{18}\right)\) \(-1\)

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 −0.993818 0.111021i \(-0.964588\pi\)
0.832671 + 0.553767i \(0.186810\pi\)
\(6\) −13.0622 + 6.73633i −0.888772 + 0.458349i
\(7\) 14.7819 + 2.60644i 0.798147 + 0.140735i 0.557825 0.829959i \(-0.311636\pi\)
0.240322 + 0.970693i \(0.422747\pi\)
\(8\) −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 −0.480149 0.877187i \(-0.659417\pi\)
0.196029 + 0.980598i \(0.437195\pi\)
\(12\) 28.4305 30.3267i 0.683931 0.729546i
\(13\) 13.1613 11.0436i 0.280790 0.235611i −0.491505 0.870875i \(-0.663553\pi\)
0.772295 + 0.635264i \(0.219109\pi\)
\(14\) −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 −0.114667 0.993404i \(-0.536580\pi\)
0.802980 + 0.596006i \(0.203247\pi\)
\(18\) −62.5616 + 43.7955i −0.819217 + 0.573484i
\(19\) 43.9510 + 25.3751i 0.530687 + 0.306392i 0.741296 0.671178i \(-0.234211\pi\)
−0.210609 + 0.977570i \(0.567545\pi\)
\(20\) 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 0.632106 + 0.774882i \(0.282191\pi\)
−0.328961 + 0.944344i \(0.606698\pi\)
\(24\) −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 −0.701485 0.712684i \(-0.747479\pi\)
0.823668 + 0.567072i \(0.191924\pi\)
\(30\) −9.81134 76.7955i −0.0597099 0.467363i
\(31\) 42.3110 7.46057i 0.245138 0.0432245i −0.0497290 0.998763i \(-0.515836\pi\)
0.294867 + 0.955538i \(0.404725\pi\)
\(32\) 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 −0.962700 0.270571i \(-0.912787\pi\)
0.247029 0.969008i \(-0.420546\pi\)
\(38\) −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 −0.986958 0.160981i \(-0.948534\pi\)
0.0128483 0.999917i \(-0.495910\pi\)
\(42\) −210.642 + 65.5296i −0.773876 + 0.240749i
\(43\) −24.4480 67.1703i −0.0867042 0.238218i 0.888761 0.458370i \(-0.151567\pi\)
−0.975465 + 0.220153i \(0.929344\pi\)
\(44\) −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 0.744882 + 0.667196i \(0.232506\pi\)
−0.928155 + 0.372195i \(0.878605\pi\)
\(48\) 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 \(-0.846626\pi\)
0.886144 0.463411i \(-0.153374\pi\)
\(54\) −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 0.186929 0.982373i \(-0.440147\pi\)
−0.488262 + 0.872697i \(0.662369\pi\)
\(60\) 98.8963 + 195.371i 0.212791 + 0.420372i
\(61\) −125.753 + 713.182i −0.263952 + 1.49695i 0.508052 + 0.861327i \(0.330366\pi\)
−0.772003 + 0.635618i \(0.780745\pi\)
\(62\) −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 0.560539 0.828128i \(-0.310594\pi\)
−0.912884 + 0.408220i \(0.866150\pi\)
\(68\) 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 −0.985009 0.172501i \(-0.944815\pi\)
0.343114 0.939294i \(1.61148\pi\)
\(72\) −167.075 + 587.651i −0.273472 + 0.961880i
\(73\) 213.928 370.534i 0.342991 0.594079i −0.641995 0.766709i \(-0.721893\pi\)
0.984987 + 0.172630i \(0.0552265\pi\)
\(74\) 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 −0.994818 0.101667i \(-0.967582\pi\)
0.272871 + 0.962051i \(0.412027\pi\)
\(80\) 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 0.269987 0.962864i \(-0.412981\pi\)
−0.901353 + 0.433085i \(0.857425\pi\)
\(84\) 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 −0.0242828 0.999705i \(-0.507730\pi\)
−0.877911 + 0.478823i \(0.841064\pi\)
\(90\) −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 −0.892589 0.450872i \(-0.851113\pi\)
−0.393947 + 0.919133i \(0.628891\pi\)
\(98\) 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 0.790628 0.612297i \(-0.209754\pi\)
0.533529 + 0.845782i \(0.320866\pi\)
\(102\) −442.559 + 688.844i −0.429607 + 0.668684i
\(103\) −309.639 + 850.725i −0.296210 + 0.813829i 0.698915 + 0.715205i \(0.253667\pi\)
−0.995125 + 0.0986247i \(0.968556\pi\)
\(104\) 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 −0.144601 0.989490i \(-0.546190\pi\)
0.746802 0.665046i \(-0.231588\pi\)
\(114\) −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 0.996943 0.0781303i \(-0.0248950\pi\)
0.430809 + 0.902443i \(0.358228\pi\)
\(128\) 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 0.991704 0.128542i \(-0.0410296\pi\)
−0.975861 + 0.218393i \(0.929918\pi\)
\(132\) −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 −0.562192 0.827007i \(-0.690042\pi\)
0.912066 + 0.410043i \(0.134486\pi\)
\(138\) −1714.24 2251.84i −1.05743 1.38905i
\(139\) 2707.38 477.385i 1.65207 0.291304i 0.731486 0.681856i \(-0.238827\pi\)
0.920581 + 0.390553i \(0.127716\pi\)
\(140\) 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 0.859752 0.510711i \(-0.170618\pi\)
−0.652247 + 0.758007i \(0.726173\pi\)
\(150\) −1394.22 314.695i −0.758915 0.171299i
\(151\) 324.585 + 891.790i 0.174929 + 0.480615i 0.995911 0.0903400i \(-0.0287954\pi\)
−0.820981 + 0.570955i \(0.806573\pi\)
\(152\) −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 −0.0180220 0.999838i \(-0.505737\pi\)
−0.656489 + 0.754336i \(0.727959\pi\)
\(158\) 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 \(-0.869460\pi\)
0.917080 0.398704i \(-0.130540\pi\)
\(164\) −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 0.555320 0.831637i \(-0.312596\pi\)
−0.109167 + 0.994023i \(0.534818\pi\)
\(168\) −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 −0.954336 0.298734i \(-0.903436\pi\)
0.539042 0.842279i \(-0.318787\pi\)
\(174\) −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 −0.848705 0.528866i \(-0.822617\pi\)
−0.0336586 0.999433i \(1.48928\pi\)
\(180\) 645.478 + 937.028i 0.267284 + 0.388011i
\(181\) 958.548 1660.25i 0.393637 0.681800i −0.599289 0.800533i \(-0.704550\pi\)
0.992926 + 0.118733i \(0.0378833\pi\)
\(182\) −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 0.959887 0.280388i \(-0.0904633\pi\)
−0.109446 + 0.993993i \(0.534908\pi\)
\(192\) −1530.50 2176.11i −0.575282 0.817955i
\(193\) −410.087 2325.72i −0.152947 0.867404i −0.960639 0.277799i \(-0.910395\pi\)
0.807692 0.589604i \(-0.200716\pi\)
\(194\) 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 0.431241 0.902237i \(-0.358076\pi\)
−0.565740 + 0.824584i \(0.691409\pi\)
\(198\) 483.253 689.991i 0.173451 0.247654i
\(199\) 690.717 398.786i 0.246048 0.142056i −0.371905 0.928271i \(-0.621295\pi\)
0.617954 + 0.786215i \(0.287962\pi\)
\(200\) −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 0.370032 + 0.929019i \(0.379347\pi\)
−0.880623 + 0.473818i \(0.842875\pi\)
\(212\) −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 −0.498581 0.866843i \(-0.666145\pi\)
−0.764991 + 0.644041i \(0.777256\pi\)
\(224\) −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 0.137293 0.990531i \(-0.456160\pi\)
0.741873 + 0.670540i \(0.233938\pi\)
\(228\) 2019.09 611.460i 0.586481 0.177609i
\(229\) 1724.52 1447.04i 0.497638 0.417568i −0.359116 0.933293i \(-0.616922\pi\)
0.856754 + 0.515725i \(0.172477\pi\)
\(230\) 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 −0.707846 0.706366i \(-0.750333\pi\)
0.257808 + 0.966196i \(0.417000\pi\)
\(234\) −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 0.613378 + 0.789789i \(0.289810\pi\)
−0.306263 + 0.951947i \(0.599079\pi\)
\(240\) 1600.16 + 712.975i 0.430373 + 0.191760i
\(241\) 5332.72 + 4474.68i 1.42535 + 1.19601i 0.948396 + 0.317089i \(0.102705\pi\)
0.476959 + 0.878926i \(0.341739\pi\)
\(242\) 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 −0.930311 0.366772i \(-0.880463\pi\)
0.782789 + 0.622287i \(0.213796\pi\)
\(252\) 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 0.989493 0.144578i \(-0.0461824\pi\)
−0.314205 + 0.949355i \(0.601738\pi\)
\(258\) 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 −0.889483 0.456967i \(-0.848936\pi\)
0.992133 0.125188i \(-0.0399533\pi\)
\(264\) 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 \(0.272900\pi\)
−0.654450 + 0.756105i \(0.727100\pi\)
\(270\) −806.887 1928.32i −0.181872 0.434644i
\(271\) 3386.70i 0.759142i −0.925163 0.379571i \(-0.876072\pi\)
0.925163 0.379571i \(-0.123928\pi\)
\(272\) −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 −0.601480 0.798888i \(-0.705422\pi\)
0.838442 0.544990i \(-0.183467\pi\)
\(278\) −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 0.996802 + 0.0799074i \(0.0254625\pi\)
−0.712231 + 0.701945i \(0.752315\pi\)
\(282\) −1484.68 4772.45i −0.313516 1.00778i
\(283\) −3764.68 4486.57i −0.790767 0.942400i 0.208599 0.978001i \(-0.433110\pi\)
−0.999366 + 0.0356014i \(0.988665\pi\)
\(284\) −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 −0.311591 0.950216i \(-0.600862\pi\)
0.0321935 + 0.999482i \(0.489751\pi\)
\(294\) 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 0.427059 0.904224i \(-0.359550\pi\)
0.996610 + 0.0822678i \(0.0262163\pi\)
\(308\) −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 −0.994594 0.103841i \(-0.966887\pi\)
−0.0704458 + 0.997516i \(0.522442\pi\)
\(312\) 570.886 + 1937.69i 0.103590 + 0.351603i
\(313\) −5960.49 + 2169.44i −1.07638 + 0.391770i −0.818559 0.574423i \(-0.805227\pi\)
−0.257821 + 0.966193i \(0.583004\pi\)
\(314\) 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 −0.605682 0.795707i \(-0.707100\pi\)
−0.841303 + 0.540564i \(0.818211\pi\)
\(318\) 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 −0.775909 0.630845i \(-0.782708\pi\)
−0.944878 + 0.327424i \(0.893819\pi\)
\(332\) −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 0.0148521 0.999890i \(-0.495272\pi\)
0.987278 + 0.159003i \(0.0508278\pi\)
\(338\) −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 0.987631 0.156793i \(-0.0501157\pi\)
−0.981696 + 0.190452i \(0.939005\pi\)
\(348\) −147.144 1225.19i −0.0226660 0.188727i
\(349\) −495.476 415.754i −0.0759949 0.0637673i 0.603999 0.796985i \(-0.293573\pi\)
−0.679994 + 0.733218i \(0.738018\pi\)
\(350\) −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 −0.750783 0.660549i \(-0.770323\pi\)
0.780886 + 0.624673i \(0.214768\pi\)
\(354\) 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 0.428414 + 0.903583i \(0.359072\pi\)
−0.996732 + 0.0807739i \(0.974261\pi\)
\(360\) −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 0.998883 + 0.0472415i \(0.0150430\pi\)
−0.734823 + 0.678259i \(0.762735\pi\)
\(368\) 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 0.996840 0.0794402i \(-0.0253133\pi\)
0.712560 + 0.701611i \(0.247536\pi\)
\(374\) 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 \(-0.941020\pi\)
0.982883 0.184233i \(-0.0589800\pi\)
\(380\) −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 0.588722 0.808335i \(-0.299631\pi\)
−0.0686003 + 0.997644i \(0.521853\pi\)
\(384\) 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 0.866708 0.498815i \(-0.166231\pi\)
−0.984569 + 0.174995i \(0.944009\pi\)
\(390\) −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 −0.931308 0.364233i \(-0.881331\pi\)
0.781089 + 0.624420i \(0.214664\pi\)
\(398\) −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 0.577410 0.816455i \(-0.304064\pi\)
0.821832 + 0.569731i \(0.192952\pi\)
\(402\) 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 0.961591 + 0.274488i \(0.0885084\pi\)
−0.809719 + 0.586818i \(0.800381\pi\)
\(410\) −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 −0.703866 0.710332i \(-0.748545\pi\)
0.577316 + 0.816521i \(0.304100\pi\)
\(420\) 952.649 + 3145.73i 0.110677 + 0.365466i
\(421\) −3561.79 + 1296.39i −0.412330 + 0.150076i −0.539852 0.841760i \(-0.681520\pi\)
0.127522 + 0.991836i \(0.459298\pi\)
\(422\) 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 0.480734 0.876867i \(-0.340370\pi\)
0.151836 + 0.988406i \(0.451482\pi\)
\(440\) 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 −0.0385855 0.999255i \(-0.512285\pi\)
0.612751 + 0.790276i \(0.290063\pi\)
\(444\) −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 0.765609 0.643306i \(-0.222438\pi\)
0.939924 0.341384i \(-0.110896\pi\)
\(450\) −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 0.586675 0.809822i \(-0.300436\pi\)
−0.695644 + 0.718387i \(0.744881\pi\)
\(458\) −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 −0.734044 0.679102i \(-0.762369\pi\)
0.796251 + 0.604967i \(0.206814\pi\)
\(462\) 1936.19 1473.94i 0.194977 0.148429i
\(463\) −3521.31 + 620.902i −0.353454 + 0.0623234i −0.347556 0.937659i \(-0.612988\pi\)
−0.00589757 + 0.999983i \(0.501877\pi\)
\(464\) −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 −0.848789 0.528732i \(-0.822668\pi\)
0.882290 + 0.470706i \(0.156001\pi\)
\(468\) −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 −0.746259 0.665655i \(-0.768152\pi\)
0.928922 0.370276i \(-0.120737\pi\)
\(480\) −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 \(0.0572455\pi\)
−0.983872 + 0.178874i \(0.942754\pi\)
\(488\) −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 0.0197310 0.999805i \(-0.493719\pi\)
−0.627548 + 0.778578i \(0.715941\pi\)
\(492\) −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 0.987861 + 0.155338i \(0.0496468\pi\)
−0.0185620 + 0.999828i \(0.505909\pi\)
\(500\) −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 −0.983320 0.181882i \(-0.941781\pi\)
0.334146 0.942521i \(1.60845\pi\)
\(504\) −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 −0.763075 0.646310i \(-0.776311\pi\)
−0.496005 + 0.868320i \(0.665200\pi\)
\(510\) −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 0.690356 0.723470i \(-0.257454\pi\)
−0.281366 + 0.959601i \(0.590787\pi\)
\(522\) −197.838 + 2258.35i −0.0165883 + 0.189358i
\(523\) −6896.08 + 3981.45i −0.576567 + 0.332881i −0.759768 0.650195i \(-0.774687\pi\)
0.183201 + 0.983075i \(0.441354\pi\)
\(524\) 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 0.114322 0.993444i \(-0.463530\pi\)
−0.232350 + 0.972632i \(0.574642\pi\)
\(548\) 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 −0.260536 0.965464i \(-0.583899\pi\)
0.705849 + 0.708363i \(0.250566\pi\)
\(558\) −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 −0.999216 0.0395810i \(-0.987398\pi\)
0.925419 0.378946i \(1.87629\pi\)
\(564\) 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 −0.787094 0.616833i \(-0.788415\pi\)
0.744140 + 0.668024i \(0.232860\pi\)
\(570\) 1517.48 3624.20i 0.111509 0.266318i
\(571\) −7083.28 + 1248.97i −0.519135 + 0.0915375i −0.427076 0.904216i \(-0.640456\pi\)
−0.0920596 + 0.995753i \(0.529345\pi\)
\(572\) 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 0.994881 + 0.101056i \(0.0322222\pi\)
−0.409923 + 0.912120i \(0.634444\pi\)
\(578\) 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 0.533152 + 0.846020i \(0.321008\pi\)
−0.790354 + 0.612650i \(0.790104\pi\)
\(588\) −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 \(0.0260637\pi\)
−0.996650 + 0.0817901i \(0.973936\pi\)
\(594\) 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 −0.00344180 0.999994i \(-0.501096\pi\)
−0.645420 + 0.763828i \(0.723318\pi\)
\(600\) −10240.4 + 5086.98i −0.696773 + 0.346125i
\(601\) 3245.05 18403.6i 0.220247 1.24908i −0.651320 0.758803i \(-0.725784\pi\)
0.871567 0.490277i \(-0.163104\pi\)
\(602\) 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 0.608247 0.793747i \(-0.291873\pi\)
−0.887310 + 0.461174i \(0.847428\pi\)
\(608\) −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 −0.840504 0.541806i \(-0.817741\pi\)
0.889470 + 0.456994i \(0.151074\pi\)
\(614\) −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 0.151493 0.988458i \(-0.451592\pi\)
0.480429 + 0.877034i \(0.340481\pi\)
\(618\) −1686.19 13198.2i −0.109755 0.859076i
\(619\) 10619.1 12655.3i 0.689527 0.821747i −0.301771 0.953380i \(-0.597578\pi\)
0.991298 + 0.131634i \(0.0420223\pi\)
\(620\) 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 −0.820725 0.571324i \(-0.806430\pi\)
0.0844184 + 0.996430i \(0.473097\pi\)
\(632\) −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 0.410221 0.911986i \(-0.365452\pi\)
0.0735638 + 0.997291i \(0.476563\pi\)
\(642\) 9913.97 5112.74i 0.609460 0.314305i
\(643\) 10041.1 27587.6i 0.615833 1.69199i −0.101126 0.994874i \(-0.532245\pi\)
0.716960 0.697115i \(-0.245533\pi\)
\(644\) 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 −0.819929 0.572465i \(-0.805987\pi\)
0.996076 + 0.0885069i \(0.0282095\pi\)
\(654\) 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 −0.685789 0.727800i \(-0.740543\pi\)
−0.0575237 + 0.998344i \(0.518320\pi\)
\(660\) −1762.20 1652.01i −0.103929 0.0974311i
\(661\) −1881.54 + 1578.80i −0.110716 + 0.0929018i −0.696465 0.717591i \(-0.745245\pi\)
0.585749 + 0.810493i \(0.300800\pi\)
\(662\) 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 0.964472 0.264187i \(-0.0851034\pi\)
−0.0926942 + 0.995695i \(0.529548\pi\)
\(674\) −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 −0.843842 0.536592i \(-0.819711\pi\)
0.674972 + 0.737844i \(0.264156\pi\)
\(678\) 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 −0.996986 0.0775851i \(-0.975279\pi\)
0.565684 + 0.824622i \(0.308612\pi\)
\(684\) 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 0.994836 0.101500i \(-0.0323643\pi\)
−0.827331 + 0.561714i \(0.810142\pi\)
\(692\) −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 \(0.0584273\pi\)
−0.983201 + 0.182526i \(0.941573\pi\)
\(702\) −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 −0.305845 0.952081i \(-0.598939\pi\)
0.613032 0.790058i \(-0.289950\pi\)
\(710\) −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 0.837687 0.546151i \(-0.183908\pi\)
−0.891824 + 0.452382i \(0.850574\pi\)
\(720\) 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 −0.731430 0.681916i \(-0.761147\pi\)
0.798568 + 0.601905i \(0.205591\pi\)
\(728\) −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 −0.915470 0.402386i \(-0.868181\pi\)
0.722636 0.691228i \(-0.242930\pi\)
\(734\) −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 −0.430812 0.902442i \(-0.641773\pi\)
0.566131 + 0.824315i \(0.308440\pi\)
\(740\) 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 −0.541184 0.840904i \(-0.682024\pi\)
0.734153 + 0.678984i \(0.237579\pi\)
\(744\) −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 −0.849130 0.528183i \(-0.822873\pi\)
0.989981 + 0.141199i \(0.0450956\pi\)
\(752\) 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