Properties

Label 105.4.s.a.26.12
Level $105$
Weight $4$
Character 105.26
Analytic conductor $6.195$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 105 = 3 \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 105.s (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.19520055060\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(16\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 26.12
Character \(\chi\) \(=\) 105.26
Dual form 105.4.s.a.101.12

$q$-expansion

\(f(q)\) \(=\) \(q+(2.43022 + 1.40309i) q^{2} +(-2.49879 - 4.55588i) q^{3} +(-0.0626967 - 0.108594i) q^{4} +(-2.50000 + 4.33013i) q^{5} +(0.319698 - 14.5778i) q^{6} +(-12.1846 - 13.9476i) q^{7} -22.8013i q^{8} +(-14.5121 + 22.7684i) q^{9} +O(q^{10})\) \(q+(2.43022 + 1.40309i) q^{2} +(-2.49879 - 4.55588i) q^{3} +(-0.0626967 - 0.108594i) q^{4} +(-2.50000 + 4.33013i) q^{5} +(0.319698 - 14.5778i) q^{6} +(-12.1846 - 13.9476i) q^{7} -22.8013i q^{8} +(-14.5121 + 22.7684i) q^{9} +(-12.1511 + 7.01543i) q^{10} +(-24.0891 + 13.9078i) q^{11} +(-0.338075 + 0.556992i) q^{12} -85.9357i q^{13} +(-10.0417 - 50.9917i) q^{14} +(25.9745 + 0.569634i) q^{15} +(31.4906 - 54.5433i) q^{16} +(18.2622 + 31.6311i) q^{17} +(-67.2136 + 34.9703i) q^{18} +(-55.3090 - 31.9327i) q^{19} +0.626967 q^{20} +(-33.0966 + 90.3638i) q^{21} -78.0556 q^{22} +(100.947 + 58.2816i) q^{23} +(-103.880 + 56.9755i) q^{24} +(-12.5000 - 21.6506i) q^{25} +(120.575 - 208.843i) q^{26} +(139.993 + 9.22216i) q^{27} +(-0.750683 + 2.19764i) q^{28} +80.6309i q^{29} +(62.3245 + 37.8288i) q^{30} +(268.943 - 155.274i) q^{31} +(-4.91394 + 2.83706i) q^{32} +(123.556 + 74.9942i) q^{33} +102.494i q^{34} +(90.8563 - 17.8921i) q^{35} +(3.38237 + 0.148425i) q^{36} +(-41.0061 + 71.0246i) q^{37} +(-89.6086 - 155.207i) q^{38} +(-391.513 + 214.735i) q^{39} +(98.7323 + 57.0031i) q^{40} -85.8751 q^{41} +(-207.220 + 173.166i) q^{42} -94.2097 q^{43} +(3.02061 + 1.74395i) q^{44} +(-62.3096 - 119.760i) q^{45} +(163.548 + 283.274i) q^{46} +(199.272 - 345.149i) q^{47} +(-327.181 - 7.17524i) q^{48} +(-46.0690 + 339.892i) q^{49} -70.1543i q^{50} +(98.4741 - 162.240i) q^{51} +(-9.33209 + 5.38789i) q^{52} +(-121.612 + 70.2126i) q^{53} +(327.273 + 218.834i) q^{54} -139.078i q^{55} +(-318.022 + 277.825i) q^{56} +(-7.27597 + 331.774i) q^{57} +(-113.132 + 195.951i) q^{58} +(-443.739 - 768.579i) q^{59} +(-1.56666 - 2.85639i) q^{60} +(98.2925 + 56.7492i) q^{61} +871.453 q^{62} +(494.388 - 75.0157i) q^{63} -519.772 q^{64} +(372.113 + 214.839i) q^{65} +(195.044 + 355.612i) q^{66} +(130.409 + 225.874i) q^{67} +(2.28996 - 3.96633i) q^{68} +(13.2797 - 605.534i) q^{69} +(245.905 + 83.9975i) q^{70} -390.768i q^{71} +(519.147 + 330.895i) q^{72} +(-183.140 + 105.736i) q^{73} +(-199.307 + 115.070i) q^{74} +(-67.4029 + 111.049i) q^{75} +8.00829i q^{76} +(487.497 + 166.522i) q^{77} +(-1252.75 - 27.4735i) q^{78} +(529.006 - 916.266i) q^{79} +(157.453 + 272.716i) q^{80} +(-307.797 - 660.834i) q^{81} +(-208.695 - 120.490i) q^{82} +1000.70 q^{83} +(11.8880 - 2.07142i) q^{84} -182.622 q^{85} +(-228.950 - 132.184i) q^{86} +(367.345 - 201.480i) q^{87} +(317.116 + 549.261i) q^{88} +(-490.935 + 850.325i) q^{89} +(16.6080 - 378.469i) q^{90} +(-1198.59 + 1047.10i) q^{91} -14.6162i q^{92} +(-1379.44 - 837.274i) q^{93} +(968.549 - 559.192i) q^{94} +(276.545 - 159.663i) q^{95} +(25.2042 + 15.2981i) q^{96} -1695.07i q^{97} +(-588.856 + 761.373i) q^{98} +(32.9248 - 750.301i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{3} + 64q^{4} - 80q^{5} - 28q^{6} + 46q^{7} + 100q^{9} + O(q^{10}) \) \( 32q - 2q^{3} + 64q^{4} - 80q^{5} - 28q^{6} + 46q^{7} + 100q^{9} + 36q^{11} + 246q^{12} + 18q^{14} + 20q^{15} - 376q^{16} - 72q^{17} - 442q^{18} - 198q^{19} - 640q^{20} - 218q^{21} + 204q^{22} + 72q^{23} - 50q^{24} - 400q^{25} - 312q^{26} + 508q^{27} + 350q^{28} + 40q^{30} + 510q^{31} + 810q^{32} + 290q^{33} - 70q^{35} - 612q^{36} - 658q^{37} - 192q^{38} - 648q^{39} - 1404q^{41} + 1892q^{42} + 332q^{43} + 2034q^{44} - 490q^{45} - 468q^{46} + 408q^{47} + 2810q^{48} + 980q^{49} - 888q^{51} + 3378q^{52} + 1152q^{53} + 2714q^{54} - 3354q^{56} - 816q^{57} - 1080q^{58} - 48q^{59} - 420q^{60} - 1662q^{61} - 2076q^{62} + 874q^{63} - 1952q^{64} + 870q^{65} - 1892q^{66} - 1298q^{67} + 1182q^{68} + 2450q^{69} - 450q^{70} - 2708q^{72} + 378q^{73} + 2898q^{74} - 50q^{75} - 3528q^{77} - 1896q^{78} - 326q^{79} - 1880q^{80} - 3308q^{81} - 2916q^{82} - 1536q^{83} + 1380q^{84} + 720q^{85} + 5202q^{86} - 1090q^{87} + 1668q^{88} - 1590q^{89} + 910q^{90} + 2082q^{91} - 4950q^{93} - 1152q^{94} + 990q^{95} + 7416q^{96} - 7830q^{98} + 3128q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).

\(n\) \(22\) \(31\) \(71\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.43022 + 1.40309i 0.859211 + 0.496066i 0.863748 0.503924i \(-0.168111\pi\)
−0.00453667 + 0.999990i \(0.501444\pi\)
\(3\) −2.49879 4.55588i −0.480892 0.876780i
\(4\) −0.0626967 0.108594i −0.00783708 0.0135742i
\(5\) −2.50000 + 4.33013i −0.223607 + 0.387298i
\(6\) 0.319698 14.5778i 0.0217527 0.991893i
\(7\) −12.1846 13.9476i −0.657909 0.753098i
\(8\) 22.8013i 1.00768i
\(9\) −14.5121 + 22.7684i −0.537486 + 0.843273i
\(10\) −12.1511 + 7.01543i −0.384251 + 0.221847i
\(11\) −24.0891 + 13.9078i −0.660284 + 0.381215i −0.792385 0.610021i \(-0.791161\pi\)
0.132101 + 0.991236i \(0.457828\pi\)
\(12\) −0.338075 + 0.556992i −0.00813282 + 0.0133991i
\(13\) 85.9357i 1.83341i −0.399568 0.916703i \(-0.630840\pi\)
0.399568 0.916703i \(-0.369160\pi\)
\(14\) −10.0417 50.9917i −0.191697 0.973436i
\(15\) 25.9745 + 0.569634i 0.447106 + 0.00980526i
\(16\) 31.4906 54.5433i 0.492040 0.852238i
\(17\) 18.2622 + 31.6311i 0.260544 + 0.451275i 0.966386 0.257094i \(-0.0827649\pi\)
−0.705843 + 0.708368i \(0.749432\pi\)
\(18\) −67.2136 + 34.9703i −0.880133 + 0.457921i
\(19\) −55.3090 31.9327i −0.667829 0.385571i 0.127424 0.991848i \(-0.459329\pi\)
−0.795254 + 0.606277i \(0.792662\pi\)
\(20\) 0.626967 0.00700970
\(21\) −33.0966 + 90.3638i −0.343918 + 0.939000i
\(22\) −78.0556 −0.756432
\(23\) 100.947 + 58.2816i 0.915166 + 0.528372i 0.882090 0.471081i \(-0.156136\pi\)
0.0330766 + 0.999453i \(0.489469\pi\)
\(24\) −103.880 + 56.9755i −0.883516 + 0.484587i
\(25\) −12.5000 21.6506i −0.100000 0.173205i
\(26\) 120.575 208.843i 0.909491 1.57528i
\(27\) 139.993 + 9.22216i 0.997837 + 0.0657335i
\(28\) −0.750683 + 2.19764i −0.00506663 + 0.0148327i
\(29\) 80.6309i 0.516303i 0.966104 + 0.258151i \(0.0831133\pi\)
−0.966104 + 0.258151i \(0.916887\pi\)
\(30\) 62.3245 + 37.8288i 0.379295 + 0.230219i
\(31\) 268.943 155.274i 1.55818 0.899615i 0.560748 0.827987i \(-0.310514\pi\)
0.997431 0.0716286i \(-0.0228196\pi\)
\(32\) −4.91394 + 2.83706i −0.0271459 + 0.0156727i
\(33\) 123.556 + 74.9942i 0.651767 + 0.395601i
\(34\) 102.494i 0.516987i
\(35\) 90.8563 17.8921i 0.438786 0.0864092i
\(36\) 3.38237 + 0.148425i 0.0156591 + 0.000687154i
\(37\) −41.0061 + 71.0246i −0.182199 + 0.315578i −0.942629 0.333842i \(-0.891655\pi\)
0.760430 + 0.649420i \(0.224988\pi\)
\(38\) −89.6086 155.207i −0.382538 0.662575i
\(39\) −391.513 + 214.735i −1.60749 + 0.881671i
\(40\) 98.7323 + 57.0031i 0.390274 + 0.225325i
\(41\) −85.8751 −0.327108 −0.163554 0.986534i \(-0.552296\pi\)
−0.163554 + 0.986534i \(0.552296\pi\)
\(42\) −207.220 + 173.166i −0.761304 + 0.636194i
\(43\) −94.2097 −0.334113 −0.167056 0.985947i \(-0.553426\pi\)
−0.167056 + 0.985947i \(0.553426\pi\)
\(44\) 3.02061 + 1.74395i 0.0103494 + 0.00597523i
\(45\) −62.3096 119.760i −0.206413 0.396729i
\(46\) 163.548 + 283.274i 0.524214 + 0.907966i
\(47\) 199.272 345.149i 0.618443 1.07117i −0.371327 0.928502i \(-0.621097\pi\)
0.989770 0.142672i \(-0.0455696\pi\)
\(48\) −327.181 7.17524i −0.983844 0.0215762i
\(49\) −46.0690 + 339.892i −0.134312 + 0.990939i
\(50\) 70.1543i 0.198426i
\(51\) 98.4741 162.240i 0.270375 0.445454i
\(52\) −9.33209 + 5.38789i −0.0248871 + 0.0143686i
\(53\) −121.612 + 70.2126i −0.315182 + 0.181971i −0.649243 0.760581i \(-0.724914\pi\)
0.334061 + 0.942552i \(0.391581\pi\)
\(54\) 327.273 + 218.834i 0.824745 + 0.551472i
\(55\) 139.078i 0.340969i
\(56\) −318.022 + 277.825i −0.758884 + 0.662963i
\(57\) −7.27597 + 331.774i −0.0169075 + 0.770958i
\(58\) −113.132 + 195.951i −0.256120 + 0.443613i
\(59\) −443.739 768.579i −0.979151 1.69594i −0.665494 0.746403i \(-0.731779\pi\)
−0.313657 0.949536i \(-0.601554\pi\)
\(60\) −1.56666 2.85639i −0.00337091 0.00614596i
\(61\) 98.2925 + 56.7492i 0.206313 + 0.119115i 0.599597 0.800302i \(-0.295328\pi\)
−0.393284 + 0.919417i \(0.628661\pi\)
\(62\) 871.453 1.78507
\(63\) 494.388 75.0157i 0.988683 0.150017i
\(64\) −519.772 −1.01518
\(65\) 372.113 + 214.839i 0.710075 + 0.409962i
\(66\) 195.044 + 355.612i 0.363762 + 0.663224i
\(67\) 130.409 + 225.874i 0.237790 + 0.411865i 0.960080 0.279726i \(-0.0902436\pi\)
−0.722290 + 0.691591i \(0.756910\pi\)
\(68\) 2.28996 3.96633i 0.00408380 0.00707336i
\(69\) 13.2797 605.534i 0.0231693 1.05649i
\(70\) 245.905 + 83.9975i 0.419875 + 0.143423i
\(71\) 390.768i 0.653178i −0.945166 0.326589i \(-0.894101\pi\)
0.945166 0.326589i \(-0.105899\pi\)
\(72\) 519.147 + 330.895i 0.849752 + 0.541615i
\(73\) −183.140 + 105.736i −0.293629 + 0.169527i −0.639577 0.768727i \(-0.720891\pi\)
0.345948 + 0.938254i \(0.387557\pi\)
\(74\) −199.307 + 115.070i −0.313095 + 0.180765i
\(75\) −67.4029 + 111.049i −0.103774 + 0.170971i
\(76\) 8.00829i 0.0120870i
\(77\) 487.497 + 166.522i 0.721499 + 0.246454i
\(78\) −1252.75 27.4735i −1.81854 0.0398816i
\(79\) 529.006 916.266i 0.753390 1.30491i −0.192780 0.981242i \(-0.561750\pi\)
0.946171 0.323669i \(-0.104916\pi\)
\(80\) 157.453 + 272.716i 0.220047 + 0.381133i
\(81\) −307.797 660.834i −0.422218 0.906494i
\(82\) −208.695 120.490i −0.281055 0.162267i
\(83\) 1000.70 1.32338 0.661691 0.749777i \(-0.269839\pi\)
0.661691 + 0.749777i \(0.269839\pi\)
\(84\) 11.8880 2.07142i 0.0154415 0.00269060i
\(85\) −182.622 −0.233037
\(86\) −228.950 132.184i −0.287073 0.165742i
\(87\) 367.345 201.480i 0.452684 0.248286i
\(88\) 317.116 + 549.261i 0.384144 + 0.665357i
\(89\) −490.935 + 850.325i −0.584708 + 1.01274i 0.410204 + 0.911994i \(0.365458\pi\)
−0.994912 + 0.100750i \(0.967876\pi\)
\(90\) 16.6080 378.469i 0.0194515 0.443268i
\(91\) −1198.59 + 1047.10i −1.38073 + 1.20621i
\(92\) 14.6162i 0.0165636i
\(93\) −1379.44 837.274i −1.53808 0.933562i
\(94\) 968.549 559.192i 1.06275 0.613577i
\(95\) 276.545 159.663i 0.298662 0.172433i
\(96\) 25.2042 + 15.2981i 0.0267958 + 0.0162641i
\(97\) 1695.07i 1.77431i −0.461471 0.887155i \(-0.652678\pi\)
0.461471 0.887155i \(-0.347322\pi\)
\(98\) −588.856 + 761.373i −0.606974 + 0.784799i
\(99\) 32.9248 750.301i 0.0334249 0.761698i
\(100\) −1.56742 + 2.71485i −0.00156742 + 0.00271485i
\(101\) −425.895 737.672i −0.419586 0.726744i 0.576312 0.817230i \(-0.304491\pi\)
−0.995898 + 0.0904858i \(0.971158\pi\)
\(102\) 466.950 256.111i 0.453284 0.248615i
\(103\) 464.853 + 268.383i 0.444692 + 0.256743i 0.705586 0.708624i \(-0.250684\pi\)
−0.260894 + 0.965368i \(0.584017\pi\)
\(104\) −1959.44 −1.84749
\(105\) −308.545 369.222i −0.286771 0.343166i
\(106\) −394.058 −0.361078
\(107\) −302.571 174.690i −0.273371 0.157831i 0.357048 0.934086i \(-0.383783\pi\)
−0.630418 + 0.776255i \(0.717117\pi\)
\(108\) −7.77561 15.7805i −0.00692785 0.0140600i
\(109\) −451.455 781.943i −0.396711 0.687124i 0.596607 0.802534i \(-0.296515\pi\)
−0.993318 + 0.115410i \(0.963182\pi\)
\(110\) 195.139 337.990i 0.169143 0.292965i
\(111\) 426.045 + 9.34339i 0.364310 + 0.00798950i
\(112\) −1144.45 + 225.373i −0.965536 + 0.190141i
\(113\) 593.728i 0.494277i 0.968980 + 0.247138i \(0.0794902\pi\)
−0.968980 + 0.247138i \(0.920510\pi\)
\(114\) −483.190 + 796.075i −0.396973 + 0.654028i
\(115\) −504.733 + 291.408i −0.409275 + 0.236295i
\(116\) 8.75602 5.05529i 0.00700841 0.00404631i
\(117\) 1956.62 + 1247.11i 1.54606 + 0.985430i
\(118\) 2490.42i 1.94289i
\(119\) 218.658 640.127i 0.168440 0.493112i
\(120\) 12.9884 592.252i 0.00988059 0.450541i
\(121\) −278.644 + 482.626i −0.209350 + 0.362604i
\(122\) 159.248 + 275.826i 0.118177 + 0.204689i
\(123\) 214.584 + 391.237i 0.157304 + 0.286802i
\(124\) −33.7236 19.4704i −0.0244232 0.0141007i
\(125\) 125.000 0.0894427
\(126\) 1306.72 + 511.365i 0.923907 + 0.361556i
\(127\) 1046.00 0.730846 0.365423 0.930842i \(-0.380924\pi\)
0.365423 + 0.930842i \(0.380924\pi\)
\(128\) −1223.85 706.588i −0.845107 0.487923i
\(129\) 235.410 + 429.208i 0.160672 + 0.292943i
\(130\) 602.876 + 1044.21i 0.406737 + 0.704489i
\(131\) −825.312 + 1429.48i −0.550442 + 0.953393i 0.447801 + 0.894133i \(0.352207\pi\)
−0.998243 + 0.0592598i \(0.981126\pi\)
\(132\) 0.397365 18.1193i 0.000262017 0.0119476i
\(133\) 228.537 + 1160.51i 0.148998 + 0.756612i
\(134\) 731.898i 0.471838i
\(135\) −389.915 + 583.131i −0.248582 + 0.371762i
\(136\) 721.229 416.402i 0.454742 0.262545i
\(137\) 1238.14 714.842i 0.772129 0.445789i −0.0615043 0.998107i \(-0.519590\pi\)
0.833634 + 0.552318i \(0.186256\pi\)
\(138\) 881.889 1452.95i 0.543996 0.896254i
\(139\) 2068.52i 1.26223i 0.775691 + 0.631113i \(0.217401\pi\)
−0.775691 + 0.631113i \(0.782599\pi\)
\(140\) −7.63937 8.74466i −0.00461174 0.00527899i
\(141\) −2070.40 45.4049i −1.23659 0.0271190i
\(142\) 548.281 949.651i 0.324019 0.561218i
\(143\) 1195.18 + 2070.11i 0.698923 + 1.21057i
\(144\) 784.866 + 1508.53i 0.454205 + 0.872990i
\(145\) −349.142 201.577i −0.199963 0.115449i
\(146\) −593.426 −0.336386
\(147\) 1663.62 639.433i 0.933425 0.358773i
\(148\) 10.2838 0.00571163
\(149\) 1879.74 + 1085.27i 1.03352 + 0.596702i 0.917990 0.396602i \(-0.129811\pi\)
0.115527 + 0.993304i \(0.463144\pi\)
\(150\) −319.615 + 175.301i −0.173976 + 0.0954217i
\(151\) 124.075 + 214.904i 0.0668679 + 0.115819i 0.897521 0.440972i \(-0.145366\pi\)
−0.830653 + 0.556790i \(0.812033\pi\)
\(152\) −728.105 + 1261.12i −0.388534 + 0.672960i
\(153\) −985.212 43.2332i −0.520586 0.0228444i
\(154\) 951.079 + 1088.68i 0.497663 + 0.569667i
\(155\) 1552.74i 0.804640i
\(156\) 47.8655 + 29.0527i 0.0245661 + 0.0149108i
\(157\) 936.894 540.916i 0.476256 0.274967i −0.242599 0.970127i \(-0.578000\pi\)
0.718855 + 0.695160i \(0.244666\pi\)
\(158\) 2571.20 1484.48i 1.29464 0.747463i
\(159\) 623.763 + 378.603i 0.311117 + 0.188837i
\(160\) 28.3706i 0.0140181i
\(161\) −417.113 2118.10i −0.204181 1.03683i
\(162\) 179.194 2037.84i 0.0869063 0.988318i
\(163\) 1562.95 2707.12i 0.751043 1.30085i −0.196274 0.980549i \(-0.562884\pi\)
0.947317 0.320296i \(-0.103782\pi\)
\(164\) 5.38408 + 9.32550i 0.00256357 + 0.00444024i
\(165\) −633.624 + 347.527i −0.298955 + 0.163969i
\(166\) 2431.91 + 1404.06i 1.13706 + 0.656485i
\(167\) −2280.34 −1.05664 −0.528318 0.849047i \(-0.677177\pi\)
−0.528318 + 0.849047i \(0.677177\pi\)
\(168\) 2060.41 + 754.644i 0.946214 + 0.346560i
\(169\) −5187.95 −2.36138
\(170\) −443.812 256.235i −0.200228 0.115602i
\(171\) 1529.71 795.885i 0.684091 0.355923i
\(172\) 5.90663 + 10.2306i 0.00261847 + 0.00453532i
\(173\) −1382.85 + 2395.16i −0.607721 + 1.05260i 0.383894 + 0.923377i \(0.374583\pi\)
−0.991615 + 0.129227i \(0.958750\pi\)
\(174\) 1175.42 + 25.7776i 0.512117 + 0.0112310i
\(175\) −149.666 + 438.150i −0.0646495 + 0.189263i
\(176\) 1751.86i 0.750293i
\(177\) −2392.74 + 3942.14i −1.01610 + 1.67406i
\(178\) −2386.16 + 1377.65i −1.00478 + 0.580108i
\(179\) −40.5047 + 23.3854i −0.0169132 + 0.00976485i −0.508433 0.861102i \(-0.669775\pi\)
0.491520 + 0.870867i \(0.336442\pi\)
\(180\) −9.09861 + 14.2750i −0.00376761 + 0.00591109i
\(181\) 2972.20i 1.22056i 0.792185 + 0.610281i \(0.208943\pi\)
−0.792185 + 0.610281i \(0.791057\pi\)
\(182\) −4382.01 + 862.940i −1.78470 + 0.351458i
\(183\) 12.9305 589.614i 0.00522323 0.238172i
\(184\) 1328.89 2301.71i 0.532431 0.922197i
\(185\) −205.030 355.123i −0.0814818 0.141131i
\(186\) −2177.58 3970.23i −0.858428 1.56512i
\(187\) −879.840 507.976i −0.344066 0.198646i
\(188\) −49.9748 −0.0193872
\(189\) −1577.13 2064.93i −0.606982 0.794715i
\(190\) 896.086 0.342152
\(191\) −1299.10 750.038i −0.492146 0.284140i 0.233318 0.972400i \(-0.425042\pi\)
−0.725464 + 0.688260i \(0.758375\pi\)
\(192\) 1298.80 + 2368.02i 0.488191 + 0.890088i
\(193\) 1372.79 + 2377.75i 0.512000 + 0.886809i 0.999903 + 0.0139118i \(0.00442842\pi\)
−0.487904 + 0.872898i \(0.662238\pi\)
\(194\) 2378.33 4119.38i 0.880175 1.52451i
\(195\) 48.9519 2232.14i 0.0179770 0.819727i
\(196\) 39.7986 16.3073i 0.0145038 0.00594289i
\(197\) 965.562i 0.349205i 0.984639 + 0.174603i \(0.0558641\pi\)
−0.984639 + 0.174603i \(0.944136\pi\)
\(198\) 1132.75 1777.20i 0.406571 0.637878i
\(199\) 1443.98 833.685i 0.514379 0.296977i −0.220253 0.975443i \(-0.570688\pi\)
0.734632 + 0.678466i \(0.237355\pi\)
\(200\) −493.662 + 285.016i −0.174536 + 0.100768i
\(201\) 703.193 1158.54i 0.246763 0.406552i
\(202\) 2390.27i 0.832569i
\(203\) 1124.60 982.458i 0.388826 0.339680i
\(204\) −23.7923 0.521776i −0.00816565 0.000179077i
\(205\) 214.688 371.850i 0.0731436 0.126688i
\(206\) 753.129 + 1304.46i 0.254723 + 0.441194i
\(207\) −2791.93 + 1452.60i −0.937450 + 0.487743i
\(208\) −4687.22 2706.17i −1.56250 0.902110i
\(209\) 1776.46 0.587943
\(210\) −231.781 1330.21i −0.0761640 0.437109i
\(211\) 3997.61 1.30430 0.652148 0.758091i \(-0.273868\pi\)
0.652148 + 0.758091i \(0.273868\pi\)
\(212\) 15.2493 + 8.80420i 0.00494022 + 0.00285224i
\(213\) −1780.29 + 976.447i −0.572693 + 0.314108i
\(214\) −490.209 849.067i −0.156589 0.271220i
\(215\) 235.524 407.940i 0.0747099 0.129401i
\(216\) 210.277 3192.01i 0.0662385 1.00550i
\(217\) −5442.67 1859.14i −1.70264 0.581596i
\(218\) 2533.72i 0.787180i
\(219\) 939.348 + 570.152i 0.289841 + 0.175924i
\(220\) −15.1030 + 8.71975i −0.00462840 + 0.00267221i
\(221\) 2718.24 1569.38i 0.827370 0.477682i
\(222\) 1022.27 + 620.485i 0.309056 + 0.187587i
\(223\) 2415.43i 0.725332i 0.931919 + 0.362666i \(0.118133\pi\)
−0.931919 + 0.362666i \(0.881867\pi\)
\(224\) 99.4447 + 33.9689i 0.0296626 + 0.0101323i
\(225\) 674.351 + 29.5919i 0.199808 + 0.00876798i
\(226\) −833.052 + 1442.89i −0.245194 + 0.424688i
\(227\) −2731.73 4731.50i −0.798728 1.38344i −0.920445 0.390873i \(-0.872173\pi\)
0.121716 0.992565i \(-0.461160\pi\)
\(228\) 36.4848 20.0110i 0.0105977 0.00581255i
\(229\) −1834.84 1059.35i −0.529475 0.305692i 0.211328 0.977415i \(-0.432221\pi\)
−0.740803 + 0.671723i \(0.765555\pi\)
\(230\) −1635.48 −0.468872
\(231\) −459.498 2637.08i −0.130878 0.751114i
\(232\) 1838.49 0.520269
\(233\) 5622.64 + 3246.23i 1.58091 + 0.912738i 0.994727 + 0.102557i \(0.0327025\pi\)
0.586181 + 0.810180i \(0.300631\pi\)
\(234\) 3005.20 + 5776.05i 0.839556 + 1.61364i
\(235\) 996.360 + 1725.75i 0.276576 + 0.479044i
\(236\) −55.6419 + 96.3747i −0.0153474 + 0.0265824i
\(237\) −5496.27 120.536i −1.50642 0.0330365i
\(238\) 1429.54 1248.85i 0.389342 0.340130i
\(239\) 5184.62i 1.40320i 0.712571 + 0.701600i \(0.247531\pi\)
−0.712571 + 0.701600i \(0.752469\pi\)
\(240\) 849.022 1398.80i 0.228351 0.376216i
\(241\) 2579.58 1489.32i 0.689483 0.398073i −0.113936 0.993488i \(-0.536346\pi\)
0.803418 + 0.595415i \(0.203012\pi\)
\(242\) −1354.33 + 781.925i −0.359751 + 0.207703i
\(243\) −2241.56 + 3053.57i −0.591755 + 0.806118i
\(244\) 14.2320i 0.00373405i
\(245\) −1356.60 1049.22i −0.353756 0.273600i
\(246\) −27.4541 + 1251.87i −0.00711549 + 0.324456i
\(247\) −2744.16 + 4753.02i −0.706909 + 1.22440i
\(248\) −3540.45 6132.24i −0.906527 1.57015i
\(249\) −2500.53 4559.05i −0.636404 1.16031i
\(250\) 303.777 + 175.386i 0.0768502 + 0.0443695i
\(251\) 3306.05 0.831377 0.415689 0.909507i \(-0.363541\pi\)
0.415689 + 0.909507i \(0.363541\pi\)
\(252\) −39.1427 48.9843i −0.00978477 0.0122449i
\(253\) −3242.28 −0.805693
\(254\) 2542.00 + 1467.63i 0.627951 + 0.362548i
\(255\) 456.334 + 832.006i 0.112066 + 0.204322i
\(256\) 96.2783 + 166.759i 0.0235054 + 0.0407126i
\(257\) 1647.41 2853.40i 0.399855 0.692569i −0.593853 0.804574i \(-0.702394\pi\)
0.993708 + 0.112005i \(0.0357273\pi\)
\(258\) −30.1187 + 1373.37i −0.00726786 + 0.331404i
\(259\) 1490.27 293.475i 0.357531 0.0704078i
\(260\) 53.8789i 0.0128516i
\(261\) −1835.83 1170.12i −0.435384 0.277505i
\(262\) −4011.38 + 2315.97i −0.945892 + 0.546111i
\(263\) 541.149 312.433i 0.126877 0.0732526i −0.435218 0.900325i \(-0.643329\pi\)
0.562095 + 0.827072i \(0.309995\pi\)
\(264\) 1709.96 2817.23i 0.398640 0.656775i
\(265\) 702.126i 0.162760i
\(266\) −1072.91 + 3140.96i −0.247309 + 0.724002i
\(267\) 5100.72 + 111.861i 1.16914 + 0.0256397i
\(268\) 16.3524 28.3231i 0.00372716 0.00645564i
\(269\) −462.054 800.301i −0.104728 0.181395i 0.808899 0.587948i \(-0.200064\pi\)
−0.913627 + 0.406553i \(0.866731\pi\)
\(270\) −1765.76 + 870.050i −0.398003 + 0.196109i
\(271\) 1455.03 + 840.059i 0.326149 + 0.188302i 0.654130 0.756382i \(-0.273035\pi\)
−0.327981 + 0.944684i \(0.606368\pi\)
\(272\) 2300.35 0.512792
\(273\) 7765.48 + 2844.18i 1.72157 + 0.630541i
\(274\) 4011.94 0.884563
\(275\) 602.227 + 347.696i 0.132057 + 0.0762431i
\(276\) −66.5899 + 36.5229i −0.0145226 + 0.00796529i
\(277\) −2112.42 3658.82i −0.458206 0.793635i 0.540661 0.841241i \(-0.318174\pi\)
−0.998866 + 0.0476055i \(0.984841\pi\)
\(278\) −2902.31 + 5026.95i −0.626147 + 1.08452i
\(279\) −367.589 + 8376.75i −0.0788781 + 1.79750i
\(280\) −407.963 2071.64i −0.0870731 0.442157i
\(281\) 3709.92i 0.787598i −0.919197 0.393799i \(-0.871161\pi\)
0.919197 0.393799i \(-0.128839\pi\)
\(282\) −4967.81 3015.29i −1.04904 0.636731i
\(283\) 2822.28 1629.44i 0.592817 0.342263i −0.173394 0.984853i \(-0.555473\pi\)
0.766210 + 0.642590i \(0.222140\pi\)
\(284\) −42.4350 + 24.4999i −0.00886639 + 0.00511901i
\(285\) −1418.43 860.942i −0.294810 0.178940i
\(286\) 6707.76i 1.38685i
\(287\) 1046.36 + 1197.75i 0.215207 + 0.246344i
\(288\) 6.71634 153.054i 0.00137418 0.0313153i
\(289\) 1789.48 3099.47i 0.364234 0.630872i
\(290\) −565.661 979.753i −0.114540 0.198390i
\(291\) −7722.53 + 4235.62i −1.55568 + 0.853252i
\(292\) 22.9645 + 13.2586i 0.00460239 + 0.00265719i
\(293\) 3214.82 0.640995 0.320498 0.947249i \(-0.396150\pi\)
0.320498 + 0.947249i \(0.396150\pi\)
\(294\) 4940.15 + 780.248i 0.979984 + 0.154779i
\(295\) 4437.39 0.875779
\(296\) 1619.45 + 934.991i 0.318002 + 0.183599i
\(297\) −3500.55 + 1724.84i −0.683915 + 0.336988i
\(298\) 3045.45 + 5274.87i 0.592007 + 1.02539i
\(299\) 5008.47 8674.92i 0.968720 1.67787i
\(300\) 16.2852 + 0.357142i 0.00313408 + 6.87319e-5i
\(301\) 1147.91 + 1314.00i 0.219816 + 0.251619i
\(302\) 696.350i 0.132684i
\(303\) −2296.53 + 3783.62i −0.435419 + 0.717370i
\(304\) −3483.42 + 2011.16i −0.657198 + 0.379433i
\(305\) −491.463 + 283.746i −0.0922658 + 0.0532697i
\(306\) −2333.62 1487.40i −0.435961 0.277873i
\(307\) 2608.00i 0.484841i −0.970171 0.242421i \(-0.922059\pi\)
0.970171 0.242421i \(-0.0779414\pi\)
\(308\) −12.4812 63.3795i −0.00230903 0.0117253i
\(309\) 61.1520 2788.45i 0.0112583 0.513363i
\(310\) −2178.63 + 3773.50i −0.399155 + 0.691356i
\(311\) −1745.39 3023.10i −0.318237 0.551203i 0.661883 0.749607i \(-0.269757\pi\)
−0.980120 + 0.198404i \(0.936424\pi\)
\(312\) 4896.23 + 8926.99i 0.888444 + 1.61984i
\(313\) 106.942 + 61.7431i 0.0193122 + 0.0111499i 0.509625 0.860397i \(-0.329784\pi\)
−0.490313 + 0.871547i \(0.663117\pi\)
\(314\) 3035.81 0.545607
\(315\) −911.143 + 2328.30i −0.162975 + 0.416460i
\(316\) −132.668 −0.0236175
\(317\) −1236.29 713.773i −0.219044 0.126465i 0.386463 0.922305i \(-0.373697\pi\)
−0.605508 + 0.795840i \(0.707030\pi\)
\(318\) 984.666 + 1795.28i 0.173639 + 0.316586i
\(319\) −1121.40 1942.32i −0.196823 0.340907i
\(320\) 1299.43 2250.68i 0.227001 0.393177i
\(321\) −39.8037 + 1814.99i −0.00692094 + 0.315585i
\(322\) 1958.20 5732.69i 0.338902 0.992143i
\(323\) 2332.65i 0.401833i
\(324\) −52.4647 + 74.8570i −0.00899600 + 0.0128356i
\(325\) −1860.56 + 1074.20i −0.317555 + 0.183341i
\(326\) 7596.64 4385.92i 1.29061 0.745134i
\(327\) −2434.35 + 4010.68i −0.411681 + 0.678261i
\(328\) 1958.06i 0.329621i
\(329\) −7242.05 + 1426.16i −1.21358 + 0.238987i
\(330\) −2027.46 44.4631i −0.338205 0.00741701i
\(331\) 628.044 1087.80i 0.104291 0.180638i −0.809157 0.587592i \(-0.800076\pi\)
0.913448 + 0.406954i \(0.133409\pi\)
\(332\) −62.7403 108.669i −0.0103715 0.0179639i
\(333\) −1022.03 1964.36i −0.168189 0.323262i
\(334\) −5541.73 3199.52i −0.907874 0.524161i
\(335\) −1304.09 −0.212686
\(336\) 3886.50 + 4650.80i 0.631030 + 0.755125i
\(337\) 9967.19 1.61112 0.805560 0.592514i \(-0.201865\pi\)
0.805560 + 0.592514i \(0.201865\pi\)
\(338\) −12607.9 7279.15i −2.02893 1.17140i
\(339\) 2704.96 1483.60i 0.433372 0.237694i
\(340\) 11.4498 + 19.8317i 0.00182633 + 0.00316330i
\(341\) −4319.06 + 7480.82i −0.685894 + 1.18800i
\(342\) 4834.21 + 212.135i 0.764340 + 0.0335408i
\(343\) 5302.00 3498.91i 0.834639 0.550797i
\(344\) 2148.10i 0.336680i
\(345\) 2588.84 + 1571.34i 0.403996 + 0.245212i
\(346\) −6721.23 + 3880.50i −1.04432 + 0.602940i
\(347\) −1070.64 + 618.133i −0.165634 + 0.0956286i −0.580525 0.814242i \(-0.697153\pi\)
0.414892 + 0.909871i \(0.363819\pi\)
\(348\) −44.9107 27.2593i −0.00691801 0.00419900i
\(349\) 5146.90i 0.789419i 0.918806 + 0.394709i \(0.129155\pi\)
−0.918806 + 0.394709i \(0.870845\pi\)
\(350\) −978.482 + 854.805i −0.149434 + 0.130546i
\(351\) 792.513 12030.4i 0.120516 1.82944i
\(352\) 78.9148 136.685i 0.0119494 0.0206969i
\(353\) −2739.65 4745.21i −0.413078 0.715473i 0.582146 0.813084i \(-0.302213\pi\)
−0.995225 + 0.0976115i \(0.968880\pi\)
\(354\) −11346.0 + 6223.03i −1.70349 + 0.934322i
\(355\) 1692.08 + 976.920i 0.252975 + 0.146055i
\(356\) 123.120 0.0183296
\(357\) −3462.72 + 603.362i −0.513352 + 0.0894490i
\(358\) −131.247 −0.0193760
\(359\) 6276.82 + 3623.92i 0.922779 + 0.532767i 0.884521 0.466501i \(-0.154486\pi\)
0.0382584 + 0.999268i \(0.487819\pi\)
\(360\) −2730.68 + 1420.74i −0.399777 + 0.207999i
\(361\) −1390.11 2407.74i −0.202669 0.351034i
\(362\) −4170.25 + 7223.08i −0.605479 + 1.04872i
\(363\) 2895.06 + 63.4901i 0.418599 + 0.00918008i
\(364\) 188.856 + 64.5105i 0.0271944 + 0.00928920i
\(365\) 1057.36i 0.151629i
\(366\) 858.703 1414.75i 0.122637 0.202049i
\(367\) 6955.56 4015.79i 0.989311 0.571179i 0.0842427 0.996445i \(-0.473153\pi\)
0.905068 + 0.425266i \(0.139820\pi\)
\(368\) 6357.73 3670.64i 0.900597 0.519960i
\(369\) 1246.23 1955.24i 0.175816 0.275841i
\(370\) 1150.70i 0.161681i
\(371\) 2461.09 + 840.673i 0.344403 + 0.117643i
\(372\) −4.43639 + 202.293i −0.000618323 + 0.0281947i
\(373\) 2282.32 3953.10i 0.316821 0.548750i −0.663002 0.748618i \(-0.730718\pi\)
0.979823 + 0.199868i \(0.0640512\pi\)
\(374\) −1425.47 2468.98i −0.197083 0.341359i
\(375\) −312.349 569.485i −0.0430123 0.0784216i
\(376\) −7869.84 4543.65i −1.07940 0.623194i
\(377\) 6929.08 0.946593
\(378\) −935.509 7231.07i −0.127295 0.983932i
\(379\) −1417.61 −0.192131 −0.0960654 0.995375i \(-0.530626\pi\)
−0.0960654 + 0.995375i \(0.530626\pi\)
\(380\) −34.6769 20.0207i −0.00468128 0.00270274i
\(381\) −2613.73 4765.45i −0.351458 0.640791i
\(382\) −2104.74 3645.51i −0.281905 0.488273i
\(383\) −3347.60 + 5798.21i −0.446617 + 0.773563i −0.998163 0.0605810i \(-0.980705\pi\)
0.551546 + 0.834144i \(0.314038\pi\)
\(384\) −160.999 + 7341.31i −0.0213956 + 0.975611i
\(385\) −1939.80 + 1694.62i −0.256783 + 0.224327i
\(386\) 7704.60i 1.01594i
\(387\) 1367.18 2145.00i 0.179581 0.281748i
\(388\) −184.074 + 106.275i −0.0240849 + 0.0139054i
\(389\) −4110.14 + 2372.99i −0.535714 + 0.309294i −0.743340 0.668914i \(-0.766760\pi\)
0.207626 + 0.978208i \(0.433426\pi\)
\(390\) 3250.85 5355.90i 0.422085 0.695401i
\(391\) 4257.41i 0.550655i
\(392\) 7749.97 + 1050.43i 0.998552 + 0.135344i
\(393\) 8574.84 + 188.050i 1.10062 + 0.0241371i
\(394\) −1354.77 + 2346.53i −0.173229 + 0.300041i
\(395\) 2645.03 + 4581.33i 0.336926 + 0.583574i
\(396\) −83.5423 + 43.4659i −0.0106014 + 0.00551577i
\(397\) −6938.85 4006.14i −0.877206 0.506455i −0.00746972 0.999972i \(-0.502378\pi\)
−0.869736 + 0.493517i \(0.835711\pi\)
\(398\) 4678.93 0.589280
\(399\) 4716.10 3941.07i 0.591730 0.494487i
\(400\) −1574.53 −0.196816
\(401\) 2244.94 + 1296.12i 0.279569 + 0.161409i 0.633228 0.773965i \(-0.281729\pi\)
−0.353659 + 0.935374i \(0.615063\pi\)
\(402\) 3334.44 1828.86i 0.413698 0.226903i
\(403\) −13343.6 23111.8i −1.64936 2.85678i
\(404\) −53.4045 + 92.4992i −0.00657666 + 0.0113911i
\(405\) 3630.99 + 319.286i 0.445495 + 0.0391739i
\(406\) 4111.51 809.670i 0.502588 0.0989735i
\(407\) 2281.22i 0.277828i
\(408\) −3699.28 2245.33i −0.448876 0.272452i
\(409\) −261.391 + 150.914i −0.0316014 + 0.0182451i −0.515717 0.856759i \(-0.672475\pi\)
0.484116 + 0.875004i \(0.339141\pi\)
\(410\) 1043.48 602.451i 0.125692 0.0725681i
\(411\) −6350.60 3854.60i −0.762170 0.462611i
\(412\) 67.3069i 0.00804848i
\(413\) −5313.00 + 15553.9i −0.633016 + 1.85317i
\(414\) −8823.11 387.176i −1.04742 0.0459630i
\(415\) −2501.74 + 4333.14i −0.295917 + 0.512543i
\(416\) 243.805 + 422.283i 0.0287345 + 0.0497696i
\(417\) 9423.92 5168.79i 1.10669 0.606994i
\(418\) 4317.18 + 2492.52i 0.505167 + 0.291659i
\(419\) −10783.5 −1.25730 −0.628649 0.777689i \(-0.716392\pi\)
−0.628649 + 0.777689i \(0.716392\pi\)
\(420\) −20.7505 + 56.6551i −0.00241076 + 0.00658211i
\(421\) −5534.80 −0.640735 −0.320368 0.947293i \(-0.603806\pi\)
−0.320368 + 0.947293i \(0.603806\pi\)
\(422\) 9715.05 + 5608.99i 1.12067 + 0.647017i
\(423\) 4966.63 + 9545.95i 0.570888 + 1.09726i
\(424\) 1600.94 + 2772.90i 0.183369 + 0.317604i
\(425\) 456.556 790.778i 0.0521087 0.0902549i
\(426\) −5696.54 124.928i −0.647883 0.0142084i
\(427\) −406.146 2062.41i −0.0460299 0.233740i
\(428\) 43.8098i 0.00494773i
\(429\) 6444.69 10617.9i 0.725297 1.19495i
\(430\) 1144.75 660.922i 0.128383 0.0741220i
\(431\) 6212.61 3586.85i 0.694318 0.400865i −0.110910 0.993830i \(-0.535376\pi\)
0.805228 + 0.592966i \(0.202043\pi\)
\(432\) 4911.46 7345.25i 0.546997 0.818052i
\(433\) 10709.7i 1.18862i 0.804235 + 0.594312i \(0.202575\pi\)
−0.804235 + 0.594312i \(0.797425\pi\)
\(434\) −10618.3 12154.6i −1.17442 1.34434i
\(435\) −45.9301 + 2094.35i −0.00506248 + 0.230842i
\(436\) −56.6094 + 98.0504i −0.00621812 + 0.0107701i
\(437\) −3722.17 6446.99i −0.407450 0.705724i
\(438\) 1482.85 + 2703.58i 0.161765 + 0.294936i
\(439\) 10964.7 + 6330.49i 1.19207 + 0.688241i 0.958775 0.284166i \(-0.0917166\pi\)
0.233293 + 0.972407i \(0.425050\pi\)
\(440\) −3171.16 −0.343589
\(441\) −7070.23 5981.47i −0.763441 0.645877i
\(442\) 8807.89 0.947848
\(443\) −11816.8 6822.43i −1.26734 0.731701i −0.292859 0.956156i \(-0.594607\pi\)
−0.974485 + 0.224454i \(0.927940\pi\)
\(444\) −25.6970 46.8517i −0.00274668 0.00500785i
\(445\) −2454.68 4251.62i −0.261489 0.452913i
\(446\) −3389.05 + 5870.01i −0.359812 + 0.623213i
\(447\) 247.282 11275.7i 0.0261656 1.19312i
\(448\) 6333.23 + 7249.55i 0.667895 + 0.764529i
\(449\) 14986.9i 1.57523i 0.616170 + 0.787613i \(0.288683\pi\)
−0.616170 + 0.787613i \(0.711317\pi\)
\(450\) 1597.30 + 1018.09i 0.167328 + 0.106651i
\(451\) 2068.65 1194.34i 0.215984 0.124699i
\(452\) 64.4752 37.2248i 0.00670943 0.00387369i
\(453\) 669.039 1102.27i 0.0693912 0.114325i
\(454\) 15331.4i 1.58489i
\(455\) −1537.57 7807.81i −0.158423 0.804474i
\(456\) 7564.87 + 165.901i 0.776881 + 0.0170374i
\(457\) −3558.68 + 6163.82i −0.364263 + 0.630922i −0.988658 0.150187i \(-0.952012\pi\)
0.624395 + 0.781109i \(0.285346\pi\)
\(458\) −2972.71 5148.88i −0.303287 0.525309i
\(459\) 2264.87 + 4596.54i 0.230316 + 0.467425i
\(460\) 63.2902 + 36.5406i 0.00641504 + 0.00370373i
\(461\) −13314.0 −1.34511 −0.672554 0.740048i \(-0.734803\pi\)
−0.672554 + 0.740048i \(0.734803\pi\)
\(462\) 2583.37 7053.40i 0.260150 0.710289i
\(463\) −4293.87 −0.431000 −0.215500 0.976504i \(-0.569138\pi\)
−0.215500 + 0.976504i \(0.569138\pi\)
\(464\) 4397.87 + 2539.11i 0.440013 + 0.254042i
\(465\) 7074.11 3879.97i 0.705492 0.386945i
\(466\) 9109.49 + 15778.1i 0.905556 + 1.56847i
\(467\) 2815.93 4877.34i 0.279027 0.483290i −0.692116 0.721786i \(-0.743321\pi\)
0.971143 + 0.238497i \(0.0766546\pi\)
\(468\) 12.7550 290.666i 0.00125983 0.0287095i
\(469\) 1561.41 4571.08i 0.153730 0.450049i
\(470\) 5591.92i 0.548800i
\(471\) −4805.45 2916.74i −0.470113 0.285343i
\(472\) −17524.6 + 10117.8i −1.70897 + 0.986674i
\(473\) 2269.42 1310.25i 0.220609 0.127369i
\(474\) −13188.0 8004.67i −1.27794 0.775668i
\(475\) 1596.63i 0.154229i
\(476\) −83.2230 + 16.3889i −0.00801370 + 0.00157812i
\(477\) 166.218 3787.84i 0.0159552 0.363591i
\(478\) −7274.47 + 12599.7i −0.696080 + 1.20565i
\(479\) −1528.74 2647.85i −0.145824 0.252575i 0.783856 0.620943i \(-0.213250\pi\)
−0.929680 + 0.368368i \(0.879917\pi\)
\(480\) −129.253 + 70.8922i −0.0122908 + 0.00674119i
\(481\) 6103.56 + 3523.89i 0.578582 + 0.334045i
\(482\) 8358.58 0.789882
\(483\) −8607.53 + 7193.00i −0.810883 + 0.677625i
\(484\) 69.8803 0.00656277
\(485\) 7339.86 + 4237.67i 0.687187 + 0.396748i
\(486\) −9731.91 + 4275.73i −0.908330 + 0.399077i
\(487\) 6763.76 + 11715.2i 0.629354 + 1.09007i 0.987682 + 0.156477i \(0.0500137\pi\)
−0.358328 + 0.933596i \(0.616653\pi\)
\(488\) 1293.95 2241.19i 0.120030 0.207898i
\(489\) −16238.8 356.125i −1.50173 0.0329336i
\(490\) −1824.70 4453.25i −0.168228 0.410566i
\(491\) 1703.15i 0.156542i −0.996932 0.0782709i \(-0.975060\pi\)
0.996932 0.0782709i \(-0.0249399\pi\)
\(492\) 29.0322 47.8317i 0.00266031 0.00438297i
\(493\) −2550.44 + 1472.50i −0.232994 + 0.134519i
\(494\) −13337.8 + 7700.58i −1.21477 + 0.701347i
\(495\) 3166.59 + 2018.32i 0.287530 + 0.183266i
\(496\) 19558.7i 1.77059i
\(497\) −5450.26 + 4761.37i −0.491907 + 0.429732i
\(498\) 319.921 14587.9i 0.0287871 1.31265i
\(499\) −5574.26 + 9654.90i −0.500077 + 0.866158i 0.499923 + 0.866070i \(0.333361\pi\)
−1.00000 8.83931e-5i \(0.999972\pi\)
\(500\) −7.83708 13.5742i −0.000700970 0.00121412i
\(501\) 5698.09 + 10389.0i 0.508128 + 0.926437i
\(502\) 8034.41 + 4638.67i 0.714329 + 0.412418i
\(503\) −10859.4 −0.962616 −0.481308 0.876551i \(-0.659838\pi\)
−0.481308 + 0.876551i \(0.659838\pi\)
\(504\) −1710.45 11272.7i −0.151170 0.996279i
\(505\) 4258.95 0.375289
\(506\) −7879.45 4549.20i −0.692261 0.399677i
\(507\) 12963.6 + 23635.7i 1.13557 + 2.07041i
\(508\) −65.5807 113.589i −0.00572770 0.00992067i
\(509\) 2304.73 3991.90i 0.200698 0.347619i −0.748056 0.663636i \(-0.769012\pi\)
0.948753 + 0.316017i \(0.102346\pi\)
\(510\) −58.3840 + 2662.23i −0.00506919 + 0.231148i
\(511\) 3706.25 + 1266.00i 0.320851 + 0.109598i
\(512\) 11845.8i 1.02249i
\(513\) −7448.37 4980.41i −0.641040 0.428636i
\(514\) 8007.13 4622.92i 0.687119 0.396709i
\(515\) −2324.26 + 1341.91i −0.198872 + 0.114819i
\(516\) 31.8499 52.4740i 0.00271728 0.00447682i
\(517\) 11085.8i 0.943040i
\(518\) 4033.44 + 1377.76i 0.342122 + 0.116864i
\(519\) 14367.5 + 315.086i 1.21515 + 0.0266488i
\(520\) 4898.61 8484.64i 0.413112 0.715531i
\(521\) 8384.02 + 14521.5i 0.705011 + 1.22111i 0.966688 + 0.255959i \(0.0823911\pi\)
−0.261677 + 0.965155i \(0.584276\pi\)
\(522\) −2819.69 5419.49i −0.236426 0.454415i
\(523\) 12237.3 + 7065.19i 1.02313 + 0.590706i 0.915010 0.403432i \(-0.132183\pi\)
0.108123 + 0.994138i \(0.465516\pi\)
\(524\) 206.977 0.0172554
\(525\) 2370.14 412.985i 0.197031 0.0343317i
\(526\) 1753.48 0.145352
\(527\) 9822.99 + 5671.31i 0.811947 + 0.468778i
\(528\) 7981.28 4377.53i 0.657842 0.360810i
\(529\) 709.982 + 1229.72i 0.0583531 + 0.101070i
\(530\) 985.144 1706.32i 0.0807395 0.139845i
\(531\) 23938.9 + 1050.49i 1.95642 + 0.0858518i
\(532\) 111.696 97.5781i 0.00910271 0.00795216i
\(533\) 7379.74i 0.599722i
\(534\) 12238.9 + 7428.60i 0.991815 + 0.601998i
\(535\) 1512.86 873.448i 0.122255 0.0705840i
\(536\) 5150.22 2973.48i 0.415029 0.239617i
\(537\) 207.754 + 126.100i 0.0166951 + 0.0101333i
\(538\) 2593.21i 0.207809i
\(539\) −3617.40 8828.41i −0.289077 0.705503i
\(540\) 87.7708 + 5.78198i 0.00699454 + 0.000460772i
\(541\) 1131.29 1959.45i 0.0899038 0.155718i −0.817567 0.575834i \(-0.804677\pi\)
0.907470 + 0.420116i \(0.138011\pi\)
\(542\) 2357.35 + 4083.05i 0.186821 + 0.323583i
\(543\) 13541.0 7426.89i 1.07016 0.586958i
\(544\) −179.479 103.622i −0.0141454 0.00816685i
\(545\) 4514.55 0.354829
\(546\) 14881.2 + 17807.6i 1.16640 + 1.39578i
\(547\) −19607.6 −1.53265 −0.766325 0.642453i \(-0.777917\pi\)
−0.766325 + 0.642453i \(0.777917\pi\)
\(548\) −155.255 89.6365i −0.0121025 0.00698737i
\(549\) −2718.52 + 1414.41i −0.211336 + 0.109955i
\(550\) 975.694 + 1689.95i 0.0756432 + 0.131018i
\(551\) 2574.76 4459.61i 0.199072 0.344802i
\(552\) −13806.9 302.793i −1.06461 0.0233473i
\(553\) −19225.4 + 3786.02i −1.47839 + 0.291136i
\(554\) 11855.6i 0.909201i
\(555\) −1105.57 + 1821.47i −0.0845566 + 0.139310i
\(556\) 224.628 129.689i 0.0171337 0.00989217i
\(557\) 11749.7 6783.69i 0.893807 0.516040i 0.0186213 0.999827i \(-0.494072\pi\)
0.875186 + 0.483787i \(0.160739\pi\)
\(558\) −12646.6 + 19841.6i −0.959452 + 1.50530i
\(559\) 8095.98i 0.612564i
\(560\) 1885.22 5519.03i 0.142259 0.416467i
\(561\) −115.744 + 5277.77i −0.00871073 + 0.397197i
\(562\) 5205.33 9015.90i 0.390701 0.676713i
\(563\) 5510.60 + 9544.64i 0.412512 + 0.714491i 0.995164 0.0982305i \(-0.0313182\pi\)
−0.582652 + 0.812722i \(0.697985\pi\)
\(564\) 124.876 + 227.679i 0.00932313 + 0.0169983i
\(565\) −2570.92 1484.32i −0.191433 0.110524i
\(566\) 9145.00 0.679140
\(567\) −5466.63 + 12345.0i −0.404898 + 0.914362i
\(568\) −8910.01 −0.658196
\(569\) 13470.2 + 7777.05i 0.992447 + 0.572989i 0.906005 0.423268i \(-0.139117\pi\)
0.0864419 + 0.996257i \(0.472450\pi\)
\(570\) −2239.13 4082.46i −0.164538 0.299992i
\(571\) −10646.0 18439.3i −0.780244 1.35142i −0.931799 0.362974i \(-0.881762\pi\)
0.151555 0.988449i \(-0.451572\pi\)
\(572\) 149.868 259.578i 0.0109550 0.0189747i
\(573\) −170.899 + 7792.75i −0.0124597 + 0.568144i
\(574\) 862.331 + 4378.92i 0.0627055 + 0.318419i
\(575\) 2914.08i 0.211349i
\(576\) 7542.99 11834.4i 0.545644 0.856073i
\(577\) 9634.85 5562.68i 0.695154 0.401348i −0.110386 0.993889i \(-0.535209\pi\)
0.805540 + 0.592541i \(0.201875\pi\)
\(578\) 8697.66 5021.60i 0.625908 0.361368i
\(579\) 7402.43 12195.8i 0.531320 0.875370i
\(580\) 50.5529i 0.00361913i
\(581\) −12193.1 13957.3i −0.870664 0.996635i
\(582\) −24710.4 541.910i −1.75993 0.0385961i
\(583\) 1953.01 3382.71i 0.138740 0.240305i
\(584\) 2410.91 + 4175.82i 0.170829 + 0.295885i
\(585\) −10291.7 + 5354.62i −0.727365 + 0.378438i
\(586\) 7812.71 + 4510.67i 0.550751 + 0.317976i
\(587\) −8446.93 −0.593939 −0.296969 0.954887i \(-0.595976\pi\)
−0.296969 + 0.954887i \(0.595976\pi\)
\(588\) −173.742 140.569i −0.0121854 0.00985879i
\(589\) −19833.3 −1.38746
\(590\) 10783.8 + 6226.04i 0.752480 + 0.434444i
\(591\) 4398.99 2412.74i 0.306176 0.167930i
\(592\) 2582.61 + 4473.21i 0.179298 + 0.310554i
\(593\) −4553.02 + 7886.07i −0.315296 + 0.546108i −0.979500 0.201443i \(-0.935437\pi\)
0.664205 + 0.747551i \(0.268770\pi\)
\(594\) −10927.2 719.840i −0.754796 0.0497229i
\(595\) 2225.19 + 2547.14i 0.153317 + 0.175500i
\(596\) 272.171i 0.0187056i
\(597\) −7406.38 4495.42i −0.507744 0.308183i
\(598\) 24343.3 14054.6i 1.66467 0.961098i
\(599\) −19603.3 + 11318.0i −1.33718 + 0.772020i −0.986388 0.164434i \(-0.947420\pi\)
−0.350790 + 0.936454i \(0.614087\pi\)
\(600\) 2532.05 + 1536.87i 0.172284 + 0.104571i
\(601\) 17057.3i 1.15770i −0.815433 0.578852i \(-0.803501\pi\)
0.815433 0.578852i \(-0.196499\pi\)
\(602\) 946.024 + 4803.91i 0.0640483 + 0.325237i
\(603\) −7035.29 308.723i −0.475123 0.0208494i
\(604\) 15.5581 26.9475i 0.00104810 0.00181536i
\(605\) −1393.22 2413.13i −0.0936240 0.162162i
\(606\) −10889.8 + 5972.78i −0.729980 + 0.400376i
\(607\) −9937.67 5737.52i −0.664510 0.383655i 0.129483 0.991582i \(-0.458668\pi\)
−0.793993 + 0.607927i \(0.792001\pi\)
\(608\) 362.380 0.0241718
\(609\) −7286.11 2668.61i −0.484808 0.177566i
\(610\) −1592.48 −0.105701
\(611\) −29660.7 17124.6i −1.96390 1.13386i
\(612\) 57.0747 + 109.699i 0.00376978 + 0.00724559i
\(613\) 445.189 + 771.089i 0.0293328 + 0.0508059i 0.880319 0.474382i \(-0.157328\pi\)
−0.850986 + 0.525188i \(0.823995\pi\)
\(614\) 3659.24 6338.00i 0.240513 0.416581i
\(615\) −2230.56 48.9174i −0.146252 0.00320738i
\(616\) 3796.91 11115.5i 0.248347 0.727042i
\(617\) 19376.2i 1.26427i −0.774858 0.632135i \(-0.782179\pi\)
0.774858 0.632135i \(-0.217821\pi\)
\(618\) 4061.04 6690.73i 0.264335 0.435503i
\(619\) −3199.16 + 1847.04i −0.207731 + 0.119933i −0.600256 0.799808i \(-0.704935\pi\)
0.392526 + 0.919741i \(0.371601\pi\)
\(620\) 168.618 97.3518i 0.0109224 0.00630603i
\(621\) 13594.3 + 9089.94i 0.878455 + 0.587386i
\(622\) 9795.71i 0.631466i
\(623\) 17841.8 3513.55i 1.14738 0.225951i
\(624\) −616.609 + 28116.5i −0.0395579 + 1.80379i
\(625\) −312.500 + 541.266i −0.0200000 + 0.0346410i
\(626\) 173.262 + 300.098i 0.0110622 + 0.0191603i
\(627\) −4438.99 8093.33i −0.282737 0.515497i
\(628\) −117.480 67.8273i −0.00746492 0.00430988i
\(629\) −2995.45 −0.189883
\(630\) −5481.08 + 4379.87i −0.346622 + 0.276981i
\(631\) −23709.8 −1.49584 −0.747919 0.663790i \(-0.768947\pi\)
−0.747919 + 0.663790i \(0.768947\pi\)
\(632\) −20892.0 12062.0i −1.31494 0.759179i
\(633\) −9989.17 18212.6i −0.627226 1.14358i
\(634\) −2002.97 3469.25i −0.125470 0.217321i
\(635\) −2615.00 + 4529.31i −0.163422 + 0.283055i
\(636\) 2.00607 91.4739i 0.000125072 0.00570311i
\(637\) 29208.9 + 3958.98i 1.81679 + 0.246249i
\(638\) 6293.69i 0.390548i
\(639\) 8897.15 + 5670.87i 0.550807 + 0.351074i
\(640\) 6119.23 3532.94i 0.377944 0.218206i
\(641\) 13606.1 7855.47i 0.838389 0.484044i −0.0183271 0.999832i \(-0.505834\pi\)
0.856716 + 0.515788i \(0.172501\pi\)
\(642\) −2643.32 + 4354.97i −0.162498 + 0.267721i
\(643\) 18532.3i 1.13661i −0.822817 0.568306i \(-0.807599\pi\)
0.822817 0.568306i \(-0.192401\pi\)
\(644\) −203.861 + 178.094i −0.0124740 + 0.0108973i
\(645\) −2447.05 53.6650i −0.149384 0.00327606i
\(646\) 3272.91 5668.84i 0.199336 0.345259i
\(647\) −9934.33 17206.8i −0.603646 1.04555i −0.992264 0.124146i \(-0.960381\pi\)
0.388618 0.921399i \(-0.372953\pi\)
\(648\) −15067.9 + 7018.16i −0.913459 + 0.425462i
\(649\) 21378.5 + 12342.9i 1.29304 + 0.746535i
\(650\) −6028.76 −0.363796
\(651\) 5130.07 + 29441.7i 0.308853 + 1.77252i
\(652\) −391.968 −0.0235440
\(653\) −6427.24 3710.77i −0.385172 0.222379i 0.294894 0.955530i \(-0.404716\pi\)
−0.680066 + 0.733151i \(0.738049\pi\)
\(654\) −11543.3 + 6331.23i −0.690183 + 0.378549i
\(655\) −4126.56 7147.41i −0.246165 0.426370i
\(656\) −2704.25 + 4683.91i −0.160950 + 0.278774i
\(657\) 250.314 5704.25i 0.0148641 0.338727i
\(658\) −19600.8 6695.34i −1.16127 0.396674i
\(659\) 17588.3i 1.03967i −0.854267 0.519835i \(-0.825993\pi\)
0.854267 0.519835i \(-0.174007\pi\)
\(660\) 77.4655 + 47.0189i 0.00456869 + 0.00277304i
\(661\) −4632.70 + 2674.69i −0.272604 + 0.157388i −0.630070 0.776538i \(-0.716974\pi\)
0.357467 + 0.933926i \(0.383641\pi\)
\(662\) 3052.57 1762.40i 0.179217 0.103471i
\(663\) −13942.2 8462.45i −0.816698 0.495708i
\(664\) 22817.1i 1.33355i
\(665\) −5596.52 1911.69i −0.326351 0.111477i
\(666\) 272.412 6207.82i 0.0158495 0.361183i
\(667\) −4699.29 + 8139.42i −0.272800 + 0.472503i
\(668\) 142.970 + 247.631i 0.00828095 + 0.0143430i
\(669\) 11004.4 6035.64i 0.635956 0.348806i
\(670\) −3169.21 1829.74i −0.182742 0.105506i
\(671\) −3157.03 −0.181633
\(672\) −93.7332 537.940i −0.00538071 0.0308802i
\(673\) 27375.7 1.56798 0.783992 0.620770i \(-0.213180\pi\)
0.783992 + 0.620770i \(0.213180\pi\)
\(674\) 24222.4 + 13984.8i 1.38429 + 0.799222i
\(675\) −1550.24 3146.21i −0.0883983 0.179404i
\(676\) 325.267 + 563.380i 0.0185063 + 0.0320539i
\(677\) 971.809 1683.22i 0.0551693 0.0955561i −0.837122 0.547017i \(-0.815763\pi\)
0.892291 + 0.451460i \(0.149097\pi\)
\(678\) 8655.25 + 189.814i 0.490270 + 0.0107519i
\(679\) −23642.1 + 20653.8i −1.33623 + 1.16733i
\(680\) 4164.02i 0.234828i
\(681\) −14730.1 + 24268.4i −0.828869 + 1.36559i
\(682\) −20992.5 + 12120.0i −1.17866 + 0.680498i
\(683\) 19324.1 11156.8i 1.08260 0.625039i 0.151003 0.988533i \(-0.451750\pi\)
0.931597 + 0.363494i \(0.118416\pi\)
\(684\) −182.336 116.217i −0.0101927 0.00649660i
\(685\) 7148.42i 0.398726i
\(686\) 17794.3 1063.95i 0.990363 0.0592155i
\(687\) −241.376 + 11006.4i −0.0134047 + 0.611238i
\(688\) −2966.72 + 5138.50i −0.164397 + 0.284744i
\(689\) 6033.77 + 10450.8i 0.333626 + 0.577858i
\(690\) 4086.72 + 7451.06i 0.225477 + 0.411097i
\(691\) −16757.3 9674.84i −0.922545 0.532631i −0.0380987 0.999274i \(-0.512130\pi\)
−0.884446 + 0.466643i \(0.845463\pi\)
\(692\) 346.799 0.0190510
\(693\) −10866.0 + 8682.93i −0.595623 + 0.475955i
\(694\) −3469.18 −0.189752
\(695\) −8956.94 5171.29i −0.488858 0.282242i
\(696\) −4593.99 8375.92i −0.250193 0.456162i
\(697\) −1568.27 2716.32i −0.0852259 0.147616i
\(698\) −7221.54 + 12508.1i −0.391604 + 0.678278i
\(699\) 739.666 33727.7i 0.0400239 1.82504i
\(700\) 56.9639 11.2178i 0.00307576 0.000605703i
\(701\) 28722.6i 1.54756i 0.633457 + 0.773778i \(0.281635\pi\)
−0.633457 + 0.773778i \(0.718365\pi\)
\(702\) 18805.6 28124.5i 1.01107 1.51209i
\(703\) 4536.01 2618.87i 0.243356 0.140501i
\(704\) 12520.8 7228.90i 0.670307 0.387002i
\(705\) 5372.60 8851.58i 0.287013 0.472865i
\(706\) 15375.8i 0.819656i
\(707\) −5099.35 + 14928.5i −0.271260 + 0.794120i
\(708\) 578.109 + 12.6782i 0.0306874 + 0.000672989i
\(709\) 6371.21 11035.3i 0.337483 0.584538i −0.646475 0.762935i \(-0.723758\pi\)
0.983959 + 0.178397i \(0.0570910\pi\)
\(710\) 2741.41 + 4748.26i 0.144906 + 0.250984i
\(711\) 13184.9 + 25341.6i 0.695459 + 1.33668i
\(712\) 19388.5 + 11193.9i 1.02052 + 0.589200i
\(713\) 36198.5 1.90132
\(714\) −9261.74 3392.20i −0.485451 0.177801i
\(715\) −11951.8 −0.625136
\(716\) 5.07902 + 2.93238i 0.000265101 + 0.000153056i
\(717\) 23620.5 12955.3i 1.23030 0.674788i
\(718\) 10169.3 + 17613.8i 0.528575 + 0.915518i
\(719\) 14977.1 25941.1i 0.776844 1.34553i −0.156908 0.987613i \(-0.550153\pi\)
0.933752 0.357920i \(-0.116514\pi\)
\(720\) −8494.28 372.747i −0.439671 0.0192937i
\(721\) −1920.78 9753.72i −0.0992143 0.503810i
\(722\) 7801.77i 0.402149i
\(723\) −13231.0 8030.76i −0.680589 0.413094i
\(724\) 322.762 186.347i 0.0165682 0.00956564i
\(725\) 1745.71 1007.89i 0.0894263 0.0516303i
\(726\) 6946.55 + 4216.32i 0.355111 + 0.215540i
\(727\) 22314.5i 1.13837i 0.822208 + 0.569187i \(0.192742\pi\)
−0.822208 + 0.569187i \(0.807258\pi\)
\(728\) 23875.1 + 27329.5i 1.21548 + 1.39134i
\(729\) 19512.9 + 2582.07i 0.991358 + 0.131183i
\(730\) 1483.57 2569.61i 0.0752181 0.130282i
\(731\) −1720.48 2979.96i −0.0870509 0.150777i
\(732\) −64.8391 + 35.5626i −0.00327394 + 0.00179567i
\(733\) 20477.0 + 11822.4i 1.03183 + 0.595729i 0.917509 0.397714i \(-0.130196\pi\)
0.114324 + 0.993443i \(0.463530\pi\)
\(734\) 22538.0 1.13337
\(735\) −1390.24 + 8802.29i −0.0697682 + 0.441738i
\(736\) −661.394 −0.0331241
\(737\) −6282.84 3627.40i −0.314018 0.181299i
\(738\) 5771.97 3003.08i 0.287899 0.149790i
\(739\) 11238.4 + 19465.6i 0.559422 + 0.968947i 0.997545 + 0.0700321i \(0.0223102\pi\)
−0.438123 + 0.898915i \(0.644356\pi\)
\(740\) −25.7095 + 44.5301i −0.00127716 + 0.00221211i
\(741\) 28511.3 + 625.266i 1.41348 + 0.0309983i
\(742\) 4801.45 + 5496.14i 0.237556 + 0.271927i
\(743\) 9463.03i 0.467247i −0.972327 0.233624i \(-0.924942\pi\)
0.972327 0.233624i \(-0.0750584\pi\)
\(744\) −19090.9 + 31453.0i −0.940735 + 1.54990i
\(745\) −9398.69 + 5426.34i −0.462203 + 0.266853i
\(746\) 11093.1 6404.59i 0.544433 0.314328i
\(747\) −14522.2 + 22784.2i −0.711299 + 1.11597i
\(748\) 127.394i 0.00622724i
\(749\) 1250.23 + 6348.66i 0.0609911 + 0.309713i
\(750\) 39.9623 1822.22i 0.00194562 0.0887176i
\(751\) −5562.36 + 9634.29i −0.270271 + 0.468123i −0.968931 0.247331i \(-0.920447\pi\)
0.698660 + 0.715454i \(0.253780\pi\)
\(752\) −12550.4 21737.9i −0.608597 1.05412i
\(753\) −8261.11 15062.0i −0.399803 0.728935i
\(754\) 16839.2 + 9722.09i 0.813324 + 0.469573i
\(755\) −1240.75 −0.0598085
\(756\) −125.357 + 300.731i −0.00603068 + 0.0144676i
\(757\) −8997.42 −0.431990 −0.215995 0.976394i \(-0.569300\pi\)
−0.215995 + 0.976394i \(0.569300\pi\)
\(758\) −3445.09 1989.02i −0.165081 0.0953095i
\(759\) 8101.77 + 14771.4i 0.387452 + 0.706416i
\(760\) −3640.53 6305.58i −0.173758 0.300957i
\(761\) −3552.99 + 6153.96i −0.169245 + 0.293142i −0.938155 0.346216i \(-0.887466\pi\)
0.768909 + 0.639358i \(0.220800\pi\)
\(762\) 334.404 15248.4i 0.0158979 0.724921i
\(763\) −5405.38 + 15824.4i −0.256472 + 0.750827i
\(764\) 188.099i 0.00890733i
\(765\) 2650.24 4158.01i 0.125254 0.196514i
\(766\) −16270.8 + 9393.94i −0.767477 + 0.443103i
\(767\) −66048.4 + 38133.1i −3.10935 + 1.79518i
\(768\) 519.155 855.328i 0.0243924 0.0401875i
\(769\) 6684.54i 0.313460i 0.987641 + 0.156730i \(0.0500953\pi\)
−0.987641 + 0.156730i \(0.949905\pi\)
\(770\) −7091.84 + 1396.58i −0.331912 + 0.0653627i
\(771\) −17116.3 375.368i −0.799517 0.0175338i
\(772\) 172.139