Properties

Label 105.4.s.a.26.16
Level $105$
Weight $4$
Character 105.26
Analytic conductor $6.195$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

Related objects

Downloads

Learn more about

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 26.16
Character \(\chi\) \(=\) 105.26
Dual form 105.4.s.a.101.16

$q$-expansion

\(f(q)\) \(=\) \(q+(4.69077 + 2.70822i) q^{2} +(-2.85230 - 4.34332i) q^{3} +(10.6689 + 18.4790i) q^{4} +(-2.50000 + 4.33013i) q^{5} +(-1.61684 - 28.0981i) q^{6} +(14.5222 + 11.4937i) q^{7} +72.2429i q^{8} +(-10.7288 + 24.7769i) q^{9} +O(q^{10})\) \(q+(4.69077 + 2.70822i) q^{2} +(-2.85230 - 4.34332i) q^{3} +(10.6689 + 18.4790i) q^{4} +(-2.50000 + 4.33013i) q^{5} +(-1.61684 - 28.0981i) q^{6} +(14.5222 + 11.4937i) q^{7} +72.2429i q^{8} +(-10.7288 + 24.7769i) q^{9} +(-23.4538 + 13.5411i) q^{10} +(38.4696 - 22.2104i) q^{11} +(49.8294 - 99.0459i) q^{12} -22.9471i q^{13} +(36.9928 + 93.2436i) q^{14} +(25.9379 - 1.49253i) q^{15} +(-110.298 + 191.042i) q^{16} +(-32.3140 - 55.9695i) q^{17} +(-117.427 + 87.1667i) q^{18} +(-15.6960 - 9.06207i) q^{19} -106.689 q^{20} +(8.49916 - 95.8580i) q^{21} +240.602 q^{22} +(-76.2989 - 44.0512i) q^{23} +(313.774 - 206.058i) q^{24} +(-12.5000 - 21.6506i) q^{25} +(62.1458 - 107.640i) q^{26} +(138.215 - 24.0726i) q^{27} +(-57.4571 + 390.981i) q^{28} -308.783i q^{29} +(125.711 + 63.2442i) q^{30} +(-82.5212 + 47.6436i) q^{31} +(-534.254 + 308.452i) q^{32} +(-206.194 - 103.735i) q^{33} -350.053i q^{34} +(-86.0748 + 34.1487i) q^{35} +(-572.316 + 66.0838i) q^{36} +(-83.8935 + 145.308i) q^{37} +(-49.0841 - 85.0161i) q^{38} +(-99.6666 + 65.4521i) q^{39} +(-312.821 - 180.607i) q^{40} +271.265 q^{41} +(299.472 - 426.630i) q^{42} +225.930 q^{43} +(820.853 + 473.920i) q^{44} +(-80.4651 - 108.399i) q^{45} +(-238.600 - 413.268i) q^{46} +(-31.1914 + 54.0251i) q^{47} +(1144.36 - 65.8494i) q^{48} +(78.7889 + 333.828i) q^{49} -135.411i q^{50} +(-150.924 + 299.992i) q^{51} +(424.040 - 244.820i) q^{52} +(19.9236 - 11.5029i) q^{53} +(713.530 + 261.398i) q^{54} +222.104i q^{55} +(-830.339 + 1049.13i) q^{56} +(5.41017 + 94.0203i) q^{57} +(836.250 - 1448.43i) q^{58} +(-41.0850 - 71.1613i) q^{59} +(304.308 + 463.382i) q^{60} +(424.943 + 245.341i) q^{61} -516.117 q^{62} +(-440.584 + 236.501i) q^{63} -1576.64 q^{64} +(99.3640 + 57.3678i) q^{65} +(-686.270 - 1045.01i) q^{66} +(-278.306 - 482.040i) q^{67} +(689.508 - 1194.26i) q^{68} +(26.2991 + 457.037i) q^{69} +(-496.239 - 72.9254i) q^{70} +669.023i q^{71} +(-1789.95 - 775.078i) q^{72} +(-184.713 + 106.644i) q^{73} +(-787.050 + 454.404i) q^{74} +(-58.3818 + 116.046i) q^{75} -386.728i q^{76} +(813.943 + 119.614i) q^{77} +(-644.771 + 37.1018i) q^{78} +(288.663 - 499.979i) q^{79} +(-551.492 - 955.212i) q^{80} +(-498.787 - 531.651i) q^{81} +(1272.44 + 734.643i) q^{82} -1281.15 q^{83} +(1862.04 - 865.640i) q^{84} +323.140 q^{85} +(1059.79 + 611.868i) q^{86} +(-1341.14 + 880.741i) q^{87} +(1604.54 + 2779.15i) q^{88} +(-511.382 + 885.739i) q^{89} +(-83.8746 - 726.392i) q^{90} +(263.748 - 333.243i) q^{91} -1879.90i q^{92} +(442.306 + 222.522i) q^{93} +(-292.623 + 168.946i) q^{94} +(78.4798 - 45.3103i) q^{95} +(2863.56 + 1440.64i) q^{96} -472.961i q^{97} +(-534.499 + 1779.29i) q^{98} +(137.573 + 1191.45i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 4.69077 + 2.70822i 1.65844 + 0.957499i 0.973437 + 0.228955i \(0.0735310\pi\)
0.685000 + 0.728543i \(0.259802\pi\)
\(3\) −2.85230 4.34332i −0.548925 0.835871i
\(4\) 10.6689 + 18.4790i 1.33361 + 2.30988i
\(5\) −2.50000 + 4.33013i −0.223607 + 0.387298i
\(6\) −1.61684 28.0981i −0.110012 1.91183i
\(7\) 14.5222 + 11.4937i 0.784125 + 0.620602i
\(8\) 72.2429i 3.19271i
\(9\) −10.7288 + 24.7769i −0.397362 + 0.917662i
\(10\) −23.4538 + 13.5411i −0.741675 + 0.428206i
\(11\) 38.4696 22.2104i 1.05446 0.608790i 0.130562 0.991440i \(-0.458322\pi\)
0.923893 + 0.382650i \(0.124989\pi\)
\(12\) 49.8294 99.0459i 1.19871 2.38267i
\(13\) 22.9471i 0.489568i −0.969578 0.244784i \(-0.921283\pi\)
0.969578 0.244784i \(-0.0787171\pi\)
\(14\) 36.9928 + 93.2436i 0.706196 + 1.78003i
\(15\) 25.9379 1.49253i 0.446475 0.0256913i
\(16\) −110.298 + 191.042i −1.72341 + 2.98504i
\(17\) −32.3140 55.9695i −0.461018 0.798506i 0.537994 0.842949i \(-0.319182\pi\)
−0.999012 + 0.0444424i \(0.985849\pi\)
\(18\) −117.427 + 87.1667i −1.53766 + 1.14141i
\(19\) −15.6960 9.06207i −0.189521 0.109420i 0.402237 0.915535i \(-0.368233\pi\)
−0.591758 + 0.806115i \(0.701566\pi\)
\(20\) −106.689 −1.19282
\(21\) 8.49916 95.8580i 0.0883176 0.996092i
\(22\) 240.602 2.33166
\(23\) −76.2989 44.0512i −0.691714 0.399361i 0.112540 0.993647i \(-0.464101\pi\)
−0.804254 + 0.594286i \(0.797435\pi\)
\(24\) 313.774 206.058i 2.66870 1.75256i
\(25\) −12.5000 21.6506i −0.100000 0.173205i
\(26\) 62.1458 107.640i 0.468761 0.811918i
\(27\) 138.215 24.0726i 0.985169 0.171584i
\(28\) −57.4571 + 390.981i −0.387799 + 2.63887i
\(29\) 308.783i 1.97722i −0.150485 0.988612i \(-0.548084\pi\)
0.150485 0.988612i \(-0.451916\pi\)
\(30\) 125.711 + 63.2442i 0.765050 + 0.384892i
\(31\) −82.5212 + 47.6436i −0.478105 + 0.276034i −0.719626 0.694362i \(-0.755687\pi\)
0.241522 + 0.970395i \(0.422354\pi\)
\(32\) −534.254 + 308.452i −2.95137 + 1.70397i
\(33\) −206.194 103.735i −1.08769 0.547209i
\(34\) 350.053i 1.76570i
\(35\) −86.0748 + 34.1487i −0.415694 + 0.164920i
\(36\) −572.316 + 66.0838i −2.64961 + 0.305944i
\(37\) −83.8935 + 145.308i −0.372757 + 0.645634i −0.989989 0.141147i \(-0.954921\pi\)
0.617232 + 0.786782i \(0.288254\pi\)
\(38\) −49.0841 85.0161i −0.209539 0.362932i
\(39\) −99.6666 + 65.4521i −0.409216 + 0.268736i
\(40\) −312.821 180.607i −1.23653 0.713912i
\(41\) 271.265 1.03328 0.516639 0.856203i \(-0.327183\pi\)
0.516639 + 0.856203i \(0.327183\pi\)
\(42\) 299.472 426.630i 1.10023 1.56739i
\(43\) 225.930 0.801257 0.400629 0.916241i \(-0.368792\pi\)
0.400629 + 0.916241i \(0.368792\pi\)
\(44\) 820.853 + 473.920i 2.81246 + 1.62377i
\(45\) −80.4651 108.399i −0.266556 0.359093i
\(46\) −238.600 413.268i −0.764776 1.32463i
\(47\) −31.1914 + 54.0251i −0.0968029 + 0.167667i −0.910360 0.413818i \(-0.864195\pi\)
0.813557 + 0.581486i \(0.197528\pi\)
\(48\) 1144.36 65.8494i 3.44113 0.198011i
\(49\) 78.7889 + 333.828i 0.229705 + 0.973260i
\(50\) 135.411i 0.383000i
\(51\) −150.924 + 299.992i −0.414384 + 0.823672i
\(52\) 424.040 244.820i 1.13084 0.652892i
\(53\) 19.9236 11.5029i 0.0516361 0.0298121i −0.473960 0.880547i \(-0.657176\pi\)
0.525596 + 0.850734i \(0.323842\pi\)
\(54\) 713.530 + 261.398i 1.79813 + 0.658737i
\(55\) 222.104i 0.544518i
\(56\) −830.339 + 1049.13i −1.98141 + 2.50349i
\(57\) 5.41017 + 94.0203i 0.0125718 + 0.218479i
\(58\) 836.250 1448.43i 1.89319 3.27910i
\(59\) −41.0850 71.1613i −0.0906578 0.157024i 0.817130 0.576453i \(-0.195564\pi\)
−0.907788 + 0.419429i \(0.862230\pi\)
\(60\) 304.308 + 463.382i 0.654766 + 0.997040i
\(61\) 424.943 + 245.341i 0.891941 + 0.514962i 0.874577 0.484887i \(-0.161139\pi\)
0.0173639 + 0.999849i \(0.494473\pi\)
\(62\) −516.117 −1.05721
\(63\) −440.584 + 236.501i −0.881085 + 0.472958i
\(64\) −1576.64 −3.07938
\(65\) 99.3640 + 57.3678i 0.189609 + 0.109471i
\(66\) −686.270 1045.01i −1.27991 1.94897i
\(67\) −278.306 482.040i −0.507470 0.878963i −0.999963 0.00864671i \(-0.997248\pi\)
0.492493 0.870316i \(-0.336086\pi\)
\(68\) 689.508 1194.26i 1.22963 2.12979i
\(69\) 26.2991 + 457.037i 0.0458846 + 0.797404i
\(70\) −496.239 72.9254i −0.847312 0.124518i
\(71\) 669.023i 1.11829i 0.829071 + 0.559144i \(0.188870\pi\)
−0.829071 + 0.559144i \(0.811130\pi\)
\(72\) −1789.95 775.078i −2.92983 1.26866i
\(73\) −184.713 + 106.644i −0.296151 + 0.170983i −0.640713 0.767781i \(-0.721361\pi\)
0.344561 + 0.938764i \(0.388028\pi\)
\(74\) −787.050 + 454.404i −1.23639 + 0.713829i
\(75\) −58.3818 + 116.046i −0.0898847 + 0.178664i
\(76\) 386.728i 0.583694i
\(77\) 813.943 + 119.614i 1.20464 + 0.177030i
\(78\) −644.771 + 37.1018i −0.935974 + 0.0538583i
\(79\) 288.663 499.979i 0.411103 0.712050i −0.583908 0.811820i \(-0.698477\pi\)
0.995011 + 0.0997694i \(0.0318105\pi\)
\(80\) −551.492 955.212i −0.770733 1.33495i
\(81\) −498.787 531.651i −0.684207 0.729288i
\(82\) 1272.44 + 734.643i 1.71363 + 0.989363i
\(83\) −1281.15 −1.69426 −0.847132 0.531382i \(-0.821673\pi\)
−0.847132 + 0.531382i \(0.821673\pi\)
\(84\) 1862.04 865.640i 2.41863 1.12439i
\(85\) 323.140 0.412347
\(86\) 1059.79 + 611.868i 1.32883 + 0.767203i
\(87\) −1341.14 + 880.741i −1.65271 + 1.08535i
\(88\) 1604.54 + 2779.15i 1.94369 + 3.36657i
\(89\) −511.382 + 885.739i −0.609060 + 1.05492i 0.382335 + 0.924024i \(0.375120\pi\)
−0.991396 + 0.130900i \(0.958213\pi\)
\(90\) −83.8746 726.392i −0.0982351 0.850760i
\(91\) 263.748 333.243i 0.303827 0.383883i
\(92\) 1879.90i 2.13037i
\(93\) 442.306 + 222.522i 0.493173 + 0.248112i
\(94\) −292.623 + 168.946i −0.321083 + 0.185377i
\(95\) 78.4798 45.3103i 0.0847564 0.0489341i
\(96\) 2863.56 + 1440.64i 3.04438 + 1.53161i
\(97\) 472.961i 0.495072i −0.968879 0.247536i \(-0.920379\pi\)
0.968879 0.247536i \(-0.0796208\pi\)
\(98\) −534.499 + 1779.29i −0.550944 + 1.83403i
\(99\) 137.573 + 1191.45i 0.139663 + 1.20954i
\(100\) 266.722 461.975i 0.266722 0.461975i
\(101\) −330.855 573.058i −0.325954 0.564568i 0.655751 0.754977i \(-0.272352\pi\)
−0.981705 + 0.190409i \(0.939019\pi\)
\(102\) −1520.39 + 998.457i −1.47589 + 0.969235i
\(103\) −1149.63 663.739i −1.09977 0.634953i −0.163610 0.986525i \(-0.552314\pi\)
−0.936161 + 0.351572i \(0.885647\pi\)
\(104\) 1657.77 1.56305
\(105\) 393.830 + 276.448i 0.366036 + 0.256938i
\(106\) 124.609 0.114180
\(107\) −11.2649 6.50382i −0.0101778 0.00587615i 0.494902 0.868949i \(-0.335204\pi\)
−0.505080 + 0.863072i \(0.668537\pi\)
\(108\) 1919.44 + 2297.26i 1.71017 + 2.04679i
\(109\) 656.500 + 1137.09i 0.576893 + 0.999208i 0.995833 + 0.0911940i \(0.0290683\pi\)
−0.418940 + 0.908014i \(0.637598\pi\)
\(110\) −601.506 + 1041.84i −0.521376 + 0.903049i
\(111\) 870.407 50.0855i 0.744283 0.0428279i
\(112\) −3797.56 + 1506.62i −3.20389 + 1.27109i
\(113\) 785.985i 0.654329i −0.944967 0.327165i \(-0.893907\pi\)
0.944967 0.327165i \(-0.106093\pi\)
\(114\) −229.249 + 455.679i −0.188344 + 0.374371i
\(115\) 381.495 220.256i 0.309344 0.178600i
\(116\) 5706.00 3294.36i 4.56714 2.63684i
\(117\) 568.558 + 246.195i 0.449258 + 0.194536i
\(118\) 445.068i 0.347219i
\(119\) 174.027 1184.21i 0.134059 0.912238i
\(120\) 107.825 + 1873.82i 0.0820250 + 1.42547i
\(121\) 321.105 556.169i 0.241251 0.417858i
\(122\) 1328.87 + 2301.67i 0.986151 + 1.70806i
\(123\) −773.728 1178.19i −0.567193 0.863688i
\(124\) −1760.81 1016.61i −1.27521 0.736242i
\(125\) 125.000 0.0894427
\(126\) −2707.17 83.8237i −1.91408 0.0592667i
\(127\) −443.373 −0.309787 −0.154894 0.987931i \(-0.549503\pi\)
−0.154894 + 0.987931i \(0.549503\pi\)
\(128\) −3121.63 1802.27i −2.15559 1.24453i
\(129\) −644.421 981.287i −0.439830 0.669748i
\(130\) 310.729 + 538.198i 0.209636 + 0.363101i
\(131\) −1234.95 + 2138.99i −0.823648 + 1.42660i 0.0792995 + 0.996851i \(0.474732\pi\)
−0.902948 + 0.429750i \(0.858602\pi\)
\(132\) −282.936 4916.98i −0.186564 3.24219i
\(133\) −123.783 312.006i −0.0807020 0.203416i
\(134\) 3014.85i 1.94361i
\(135\) −241.301 + 658.672i −0.153836 + 0.419922i
\(136\) 4043.40 2334.46i 2.54940 1.47190i
\(137\) −1584.16 + 914.618i −0.987915 + 0.570373i −0.904650 0.426155i \(-0.859868\pi\)
−0.0832645 + 0.996527i \(0.526535\pi\)
\(138\) −1114.39 + 2215.08i −0.687416 + 1.36638i
\(139\) 2449.22i 1.49453i 0.664525 + 0.747266i \(0.268634\pi\)
−0.664525 + 0.747266i \(0.731366\pi\)
\(140\) −1549.35 1226.25i −0.935317 0.740264i
\(141\) 323.615 18.6216i 0.193286 0.0111222i
\(142\) −1811.86 + 3138.23i −1.07076 + 1.85461i
\(143\) −509.665 882.766i −0.298044 0.516228i
\(144\) −3550.06 4782.50i −2.05444 2.76765i
\(145\) 1337.07 + 771.957i 0.765776 + 0.442121i
\(146\) −1155.26 −0.654864
\(147\) 1225.19 1294.38i 0.687429 0.726251i
\(148\) −3580.19 −1.98845
\(149\) 733.815 + 423.668i 0.403466 + 0.232941i 0.687979 0.725731i \(-0.258498\pi\)
−0.284512 + 0.958672i \(0.591832\pi\)
\(150\) −588.132 + 386.232i −0.320138 + 0.210238i
\(151\) 209.435 + 362.753i 0.112872 + 0.195499i 0.916927 0.399055i \(-0.130662\pi\)
−0.804055 + 0.594554i \(0.797328\pi\)
\(152\) 654.670 1133.92i 0.349347 0.605087i
\(153\) 1733.44 200.156i 0.915950 0.105762i
\(154\) 3494.08 + 2765.41i 1.82832 + 1.44704i
\(155\) 476.436i 0.246892i
\(156\) −2272.82 1143.44i −1.16648 0.586850i
\(157\) 2635.77 1521.76i 1.33985 0.773565i 0.353069 0.935597i \(-0.385138\pi\)
0.986786 + 0.162032i \(0.0518047\pi\)
\(158\) 2708.10 1563.52i 1.36357 0.787260i
\(159\) −106.789 53.7247i −0.0532635 0.0267965i
\(160\) 3084.52i 1.52408i
\(161\) −601.716 1516.68i −0.294546 0.742429i
\(162\) −899.867 3844.67i −0.436421 1.86461i
\(163\) 453.547 785.567i 0.217942 0.377487i −0.736237 0.676724i \(-0.763399\pi\)
0.954179 + 0.299237i \(0.0967322\pi\)
\(164\) 2894.08 + 5012.70i 1.37799 + 2.38675i
\(165\) 964.668 633.507i 0.455147 0.298900i
\(166\) −6009.55 3469.62i −2.80983 1.62226i
\(167\) −1763.11 −0.816967 −0.408483 0.912766i \(-0.633942\pi\)
−0.408483 + 0.912766i \(0.633942\pi\)
\(168\) 6925.06 + 614.004i 3.18024 + 0.281973i
\(169\) 1670.43 0.760323
\(170\) 1515.78 + 875.133i 0.683851 + 0.394822i
\(171\) 392.928 291.672i 0.175719 0.130437i
\(172\) 2410.42 + 4174.97i 1.06856 + 1.85081i
\(173\) 861.685 1492.48i 0.378686 0.655904i −0.612185 0.790714i \(-0.709709\pi\)
0.990871 + 0.134811i \(0.0430426\pi\)
\(174\) −8676.21 + 499.251i −3.78013 + 0.217518i
\(175\) 67.3187 458.086i 0.0290790 0.197875i
\(176\) 9799.08i 4.19678i
\(177\) −191.889 + 381.418i −0.0814874 + 0.161973i
\(178\) −4797.55 + 2769.86i −2.02018 + 1.16635i
\(179\) 173.172 99.9810i 0.0723100 0.0417482i −0.463409 0.886144i \(-0.653374\pi\)
0.535719 + 0.844396i \(0.320041\pi\)
\(180\) 1144.64 2643.41i 0.473979 1.09460i
\(181\) 266.755i 0.109546i 0.998499 + 0.0547729i \(0.0174435\pi\)
−0.998499 + 0.0547729i \(0.982557\pi\)
\(182\) 2139.67 848.879i 0.871446 0.345731i
\(183\) −146.472 2545.45i −0.0591666 1.02822i
\(184\) 3182.38 5512.05i 1.27505 2.20844i
\(185\) −419.468 726.539i −0.166702 0.288736i
\(186\) 1472.12 + 2241.66i 0.580328 + 0.883690i
\(187\) −2486.21 1435.42i −0.972245 0.561326i
\(188\) −1331.11 −0.516388
\(189\) 2283.88 + 1239.02i 0.878982 + 0.476855i
\(190\) 490.841 0.187418
\(191\) 1178.07 + 680.162i 0.446296 + 0.257669i 0.706265 0.707948i \(-0.250379\pi\)
−0.259969 + 0.965617i \(0.583712\pi\)
\(192\) 4497.06 + 6847.86i 1.69035 + 2.57397i
\(193\) −1749.00 3029.35i −0.652308 1.12983i −0.982561 0.185939i \(-0.940467\pi\)
0.330253 0.943892i \(-0.392866\pi\)
\(194\) 1280.88 2218.55i 0.474031 0.821045i
\(195\) −34.2493 595.199i −0.0125777 0.218580i
\(196\) −5328.23 + 5017.51i −1.94177 + 1.82854i
\(197\) 3118.87i 1.12797i 0.825784 + 0.563986i \(0.190733\pi\)
−0.825784 + 0.563986i \(0.809267\pi\)
\(198\) −2581.37 + 5961.37i −0.926514 + 2.13968i
\(199\) 3212.10 1854.51i 1.14422 0.660615i 0.196747 0.980454i \(-0.436962\pi\)
0.947472 + 0.319839i \(0.103629\pi\)
\(200\) 1564.10 903.036i 0.552994 0.319271i
\(201\) −1299.84 + 2583.69i −0.456137 + 0.906664i
\(202\) 3584.11i 1.24840i
\(203\) 3549.06 4484.21i 1.22707 1.55039i
\(204\) −7153.74 + 411.644i −2.45521 + 0.141279i
\(205\) −678.162 + 1174.61i −0.231048 + 0.400187i
\(206\) −3595.10 6226.89i −1.21593 2.10606i
\(207\) 1910.04 1417.83i 0.641340 0.476069i
\(208\) 4383.87 + 2531.03i 1.46138 + 0.843728i
\(209\) −805.089 −0.266455
\(210\) 1098.68 + 2363.33i 0.361030 + 0.776595i
\(211\) −3228.76 −1.05344 −0.526722 0.850038i \(-0.676579\pi\)
−0.526722 + 0.850038i \(0.676579\pi\)
\(212\) 425.124 + 245.445i 0.137725 + 0.0795154i
\(213\) 2905.78 1908.25i 0.934744 0.613856i
\(214\) −35.2275 61.0158i −0.0112528 0.0194904i
\(215\) −564.826 + 978.307i −0.179167 + 0.310326i
\(216\) 1739.07 + 9985.08i 0.547819 + 3.14536i
\(217\) −1745.99 256.585i −0.546201 0.0802678i
\(218\) 7111.78i 2.20950i
\(219\) 990.046 + 498.086i 0.305485 + 0.153687i
\(220\) −4104.26 + 2369.60i −1.25777 + 0.726174i
\(221\) −1284.34 + 741.514i −0.390923 + 0.225700i
\(222\) 4218.52 + 2122.31i 1.27535 + 0.641623i
\(223\) 573.232i 0.172137i 0.996289 + 0.0860683i \(0.0274303\pi\)
−0.996289 + 0.0860683i \(0.972570\pi\)
\(224\) −11303.8 1661.17i −3.37173 0.495497i
\(225\) 670.545 77.4261i 0.198680 0.0229411i
\(226\) 2128.62 3686.87i 0.626520 1.08516i
\(227\) −599.567 1038.48i −0.175307 0.303640i 0.764961 0.644077i \(-0.222758\pi\)
−0.940267 + 0.340437i \(0.889425\pi\)
\(228\) −1679.68 + 1103.06i −0.487893 + 0.320404i
\(229\) 3537.94 + 2042.63i 1.02093 + 0.589436i 0.914374 0.404871i \(-0.132683\pi\)
0.106559 + 0.994306i \(0.466017\pi\)
\(230\) 2386.00 0.684036
\(231\) −1802.09 3876.39i −0.513284 1.10410i
\(232\) 22307.3 6.31271
\(233\) −471.919 272.462i −0.132688 0.0766077i 0.432186 0.901784i \(-0.357742\pi\)
−0.564875 + 0.825177i \(0.691076\pi\)
\(234\) 2000.23 + 2694.62i 0.558798 + 0.752790i
\(235\) −155.957 270.126i −0.0432916 0.0749832i
\(236\) 876.660 1518.42i 0.241804 0.418817i
\(237\) −2994.92 + 172.335i −0.820847 + 0.0472336i
\(238\) 4023.41 5083.55i 1.09580 1.38453i
\(239\) 2085.41i 0.564411i −0.959354 0.282205i \(-0.908934\pi\)
0.959354 0.282205i \(-0.0910659\pi\)
\(240\) −2575.77 + 5119.85i −0.692771 + 1.37702i
\(241\) 733.059 423.232i 0.195936 0.113124i −0.398823 0.917028i \(-0.630581\pi\)
0.594758 + 0.803905i \(0.297248\pi\)
\(242\) 3012.45 1739.24i 0.800198 0.461994i
\(243\) −886.439 + 3682.82i −0.234013 + 0.972234i
\(244\) 10470.0i 2.74703i
\(245\) −1642.49 493.405i −0.428306 0.128663i
\(246\) −438.591 7622.03i −0.113673 1.97546i
\(247\) −207.948 + 360.177i −0.0535686 + 0.0927835i
\(248\) −3441.91 5961.57i −0.881297 1.52645i
\(249\) 3654.21 + 5564.42i 0.930025 + 1.41619i
\(250\) 586.346 + 338.527i 0.148335 + 0.0856413i
\(251\) 2920.18 0.734343 0.367172 0.930153i \(-0.380326\pi\)
0.367172 + 0.930153i \(0.380326\pi\)
\(252\) −9070.84 5618.35i −2.26750 1.40446i
\(253\) −3913.58 −0.972509
\(254\) −2079.76 1200.75i −0.513763 0.296621i
\(255\) −921.693 1403.50i −0.226348 0.344669i
\(256\) −3455.32 5984.79i −0.843585 1.46113i
\(257\) −1596.86 + 2765.85i −0.387586 + 0.671318i −0.992124 0.125258i \(-0.960024\pi\)
0.604538 + 0.796576i \(0.293358\pi\)
\(258\) −365.293 6348.22i −0.0881478 1.53187i
\(259\) −2888.45 + 1145.94i −0.692970 + 0.274924i
\(260\) 2448.20i 0.583965i
\(261\) 7650.67 + 3312.86i 1.81442 + 0.785674i
\(262\) −11585.7 + 6689.01i −2.73194 + 1.57728i
\(263\) −3540.11 + 2043.89i −0.830010 + 0.479207i −0.853856 0.520509i \(-0.825742\pi\)
0.0238458 + 0.999716i \(0.492409\pi\)
\(264\) 7494.09 14896.0i 1.74708 3.47267i
\(265\) 115.029i 0.0266648i
\(266\) 264.342 1798.78i 0.0609318 0.414625i
\(267\) 5305.66 305.301i 1.21611 0.0699780i
\(268\) 5938.41 10285.6i 1.35353 2.34438i
\(269\) −2040.61 3534.43i −0.462520 0.801109i 0.536566 0.843859i \(-0.319721\pi\)
−0.999086 + 0.0427501i \(0.986388\pi\)
\(270\) −2915.71 + 2436.18i −0.657202 + 0.549116i
\(271\) −3822.65 2207.01i −0.856861 0.494709i 0.00609886 0.999981i \(-0.498059\pi\)
−0.862960 + 0.505272i \(0.831392\pi\)
\(272\) 14256.7 3.17809
\(273\) −2199.67 195.031i −0.487655 0.0432375i
\(274\) −9907.93 −2.18453
\(275\) −961.739 555.260i −0.210891 0.121758i
\(276\) −8165.02 + 5362.05i −1.78071 + 1.16941i
\(277\) 2349.99 + 4070.31i 0.509738 + 0.882892i 0.999936 + 0.0112809i \(0.00359091\pi\)
−0.490199 + 0.871611i \(0.663076\pi\)
\(278\) −6633.01 + 11488.7i −1.43101 + 2.47859i
\(279\) −295.109 2555.77i −0.0633251 0.548424i
\(280\) −2467.00 6218.29i −0.526541 1.32719i
\(281\) 5240.30i 1.11249i −0.831018 0.556246i \(-0.812241\pi\)
0.831018 0.556246i \(-0.187759\pi\)
\(282\) 1568.44 + 789.070i 0.331202 + 0.166626i
\(283\) −3198.19 + 1846.48i −0.671777 + 0.387851i −0.796750 0.604309i \(-0.793449\pi\)
0.124972 + 0.992160i \(0.460116\pi\)
\(284\) −12362.9 + 7137.71i −2.58310 + 1.49136i
\(285\) −420.645 211.624i −0.0874276 0.0439843i
\(286\) 5521.13i 1.14151i
\(287\) 3939.36 + 3117.84i 0.810220 + 0.641255i
\(288\) −1910.58 16546.5i −0.390909 3.38545i
\(289\) 368.108 637.582i 0.0749253 0.129774i
\(290\) 4181.25 + 7242.14i 0.846660 + 1.46646i
\(291\) −2054.22 + 1349.03i −0.413816 + 0.271757i
\(292\) −3941.36 2275.54i −0.789899 0.456048i
\(293\) −3440.35 −0.685964 −0.342982 0.939342i \(-0.611437\pi\)
−0.342982 + 0.939342i \(0.611437\pi\)
\(294\) 9252.56 2753.57i 1.83544 0.546229i
\(295\) 410.850 0.0810868
\(296\) −10497.5 6060.71i −2.06133 1.19011i
\(297\) 4782.42 3995.88i 0.934358 0.780689i
\(298\) 2294.77 + 3974.66i 0.446082 + 0.772637i
\(299\) −1010.85 + 1750.84i −0.195515 + 0.338641i
\(300\) −2767.27 + 159.236i −0.532562 + 0.0306450i
\(301\) 3281.01 + 2596.78i 0.628286 + 0.497262i
\(302\) 2268.79i 0.432298i
\(303\) −1545.27 + 3071.54i −0.292982 + 0.582361i
\(304\) 3462.48 1999.06i 0.653246 0.377152i
\(305\) −2124.72 + 1226.70i −0.398888 + 0.230298i
\(306\) 8673.23 + 3755.64i 1.62031 + 0.701621i
\(307\) 962.266i 0.178891i 0.995992 + 0.0894453i \(0.0285094\pi\)
−0.995992 + 0.0894453i \(0.971491\pi\)
\(308\) 6473.49 + 16317.0i 1.19760 + 3.01866i
\(309\) 396.260 + 6886.39i 0.0729529 + 1.26781i
\(310\) 1290.29 2234.85i 0.236399 0.409455i
\(311\) 4433.22 + 7678.57i 0.808312 + 1.40004i 0.914032 + 0.405641i \(0.132952\pi\)
−0.105721 + 0.994396i \(0.533715\pi\)
\(312\) −4728.45 7200.20i −0.857999 1.30651i
\(313\) 6119.35 + 3533.01i 1.10507 + 0.638011i 0.937548 0.347857i \(-0.113091\pi\)
0.167521 + 0.985869i \(0.446424\pi\)
\(314\) 16485.0 2.96275
\(315\) 77.3791 2499.04i 0.0138407 0.446999i
\(316\) 12318.8 2.19300
\(317\) 5750.08 + 3319.81i 1.01879 + 0.588200i 0.913754 0.406269i \(-0.133170\pi\)
0.105038 + 0.994468i \(0.466504\pi\)
\(318\) −355.423 541.217i −0.0626764 0.0954400i
\(319\) −6858.19 11878.7i −1.20371 2.08489i
\(320\) 3941.61 6827.07i 0.688571 1.19264i
\(321\) 3.88286 + 67.4780i 0.000675140 + 0.0117329i
\(322\) 1284.98 8743.96i 0.222389 1.51330i
\(323\) 1171.33i 0.201778i
\(324\) 4502.90 14889.2i 0.772102 2.55302i
\(325\) −496.820 + 286.839i −0.0847957 + 0.0489568i
\(326\) 4254.97 2456.61i 0.722887 0.417359i
\(327\) 3066.21 6094.71i 0.518538 1.03070i
\(328\) 19596.9i 3.29896i
\(329\) −1073.92 + 426.058i −0.179960 + 0.0713962i
\(330\) 6240.71 359.106i 1.04103 0.0599035i
\(331\) −5714.37 + 9897.58i −0.948913 + 1.64357i −0.201194 + 0.979552i \(0.564482\pi\)
−0.747720 + 0.664014i \(0.768851\pi\)
\(332\) −13668.4 23674.3i −2.25948 3.91354i
\(333\) −2700.20 3637.59i −0.444354 0.598616i
\(334\) −8270.33 4774.88i −1.35489 0.782244i
\(335\) 2783.06 0.453895
\(336\) 17375.5 + 12196.7i 2.82116 + 1.98031i
\(337\) −3287.98 −0.531477 −0.265738 0.964045i \(-0.585616\pi\)
−0.265738 + 0.964045i \(0.585616\pi\)
\(338\) 7835.59 + 4523.88i 1.26095 + 0.728008i
\(339\) −3413.78 + 2241.86i −0.546935 + 0.359178i
\(340\) 3447.54 + 5971.31i 0.549909 + 0.952470i
\(341\) −2116.37 + 3665.66i −0.336093 + 0.582131i
\(342\) 2633.05 304.031i 0.416312 0.0480705i
\(343\) −2692.74 + 5753.50i −0.423890 + 0.905714i
\(344\) 16321.9i 2.55819i
\(345\) −2044.78 1028.72i −0.319093 0.160534i
\(346\) 8083.93 4667.26i 1.25605 0.725183i
\(347\) −4738.46 + 2735.75i −0.733066 + 0.423236i −0.819543 0.573018i \(-0.805772\pi\)
0.0864768 + 0.996254i \(0.472439\pi\)
\(348\) −30583.7 15386.5i −4.71108 2.37012i
\(349\) 5647.28i 0.866165i 0.901354 + 0.433083i \(0.142574\pi\)
−0.901354 + 0.433083i \(0.857426\pi\)
\(350\) 1556.37 1966.46i 0.237690 0.300320i
\(351\) −552.397 3171.65i −0.0840022 0.482308i
\(352\) −13701.7 + 23732.0i −2.07472 + 3.59352i
\(353\) −5123.73 8874.56i −0.772546 1.33809i −0.936164 0.351565i \(-0.885650\pi\)
0.163618 0.986524i \(-0.447684\pi\)
\(354\) −1933.07 + 1269.47i −0.290230 + 0.190597i
\(355\) −2896.95 1672.56i −0.433111 0.250057i
\(356\) −21823.5 −3.24899
\(357\) −5639.77 + 2621.86i −0.836102 + 0.388694i
\(358\) 1083.08 0.159895
\(359\) 757.417 + 437.295i 0.111351 + 0.0642884i 0.554641 0.832090i \(-0.312856\pi\)
−0.443290 + 0.896378i \(0.646189\pi\)
\(360\) 7831.06 5813.03i 1.14648 0.851037i
\(361\) −3265.26 5655.59i −0.476054 0.824551i
\(362\) −722.431 + 1251.29i −0.104890 + 0.181675i
\(363\) −3331.51 + 191.703i −0.481704 + 0.0277185i
\(364\) 8971.89 + 1318.48i 1.29191 + 0.189854i
\(365\) 1066.44i 0.152932i
\(366\) 6206.56 12336.8i 0.886399 1.76190i
\(367\) 2917.76 1684.57i 0.415002 0.239602i −0.277934 0.960600i \(-0.589650\pi\)
0.692937 + 0.720998i \(0.256316\pi\)
\(368\) 16831.3 9717.55i 2.38422 1.37653i
\(369\) −2910.34 + 6721.09i −0.410586 + 0.948200i
\(370\) 4544.04i 0.638468i
\(371\) 421.545 + 61.9488i 0.0589907 + 0.00866905i
\(372\) 606.927 + 10547.4i 0.0845905 + 1.47005i
\(373\) 5197.92 9003.06i 0.721549 1.24976i −0.238829 0.971062i \(-0.576764\pi\)
0.960379 0.278699i \(-0.0899030\pi\)
\(374\) −7774.83 13466.4i −1.07494 1.86185i
\(375\) −356.537 542.914i −0.0490974 0.0747626i
\(376\) −3902.93 2253.36i −0.535314 0.309064i
\(377\) −7085.68 −0.967987
\(378\) 7357.59 + 11997.2i 1.00115 + 1.63246i
\(379\) −10819.1 −1.46634 −0.733169 0.680047i \(-0.761959\pi\)
−0.733169 + 0.680047i \(0.761959\pi\)
\(380\) 1674.58 + 966.820i 0.226064 + 0.130518i
\(381\) 1264.63 + 1925.71i 0.170050 + 0.258942i
\(382\) 3684.05 + 6380.96i 0.493435 + 0.854655i
\(383\) 5329.00 9230.09i 0.710964 1.23142i −0.253532 0.967327i \(-0.581592\pi\)
0.964496 0.264098i \(-0.0850742\pi\)
\(384\) 1075.98 + 18698.9i 0.142991 + 2.48495i
\(385\) −2552.80 + 3225.44i −0.337929 + 0.426971i
\(386\) 18946.6i 2.49834i
\(387\) −2423.96 + 5597.85i −0.318389 + 0.735283i
\(388\) 8739.86 5045.96i 1.14355 0.660232i
\(389\) 13027.0 7521.13i 1.69793 0.980299i 0.750205 0.661205i \(-0.229955\pi\)
0.947723 0.319094i \(-0.103379\pi\)
\(390\) 1451.27 2884.70i 0.188431 0.374544i
\(391\) 5693.89i 0.736451i
\(392\) −24116.7 + 5691.94i −3.10734 + 0.733383i
\(393\) 12812.8 737.279i 1.64458 0.0946331i
\(394\) −8446.58 + 14629.9i −1.08003 + 1.87067i
\(395\) 1443.31 + 2499.89i 0.183851 + 0.318439i
\(396\) −20549.0 + 15253.6i −2.60764 + 1.93566i
\(397\) −241.393 139.368i −0.0305168 0.0176189i 0.484664 0.874700i \(-0.338942\pi\)
−0.515181 + 0.857082i \(0.672275\pi\)
\(398\) 20089.6 2.53015
\(399\) −1002.07 + 1427.56i −0.125731 + 0.179117i
\(400\) 5514.92 0.689365
\(401\) 1862.25 + 1075.17i 0.231911 + 0.133894i 0.611453 0.791281i \(-0.290585\pi\)
−0.379542 + 0.925174i \(0.623919\pi\)
\(402\) −13094.4 + 8599.25i −1.62460 + 1.06689i
\(403\) 1093.28 + 1893.62i 0.135137 + 0.234065i
\(404\) 7059.70 12227.8i 0.869389 1.50583i
\(405\) 3549.08 830.682i 0.435445 0.101918i
\(406\) 28792.0 11422.7i 3.51952 1.39631i
\(407\) 7453.24i 0.907723i
\(408\) −21672.3 10903.2i −2.62975 1.32301i
\(409\) 2743.48 1583.95i 0.331678 0.191494i −0.324908 0.945746i \(-0.605333\pi\)
0.656586 + 0.754251i \(0.272000\pi\)
\(410\) −6362.20 + 3673.22i −0.766357 + 0.442457i
\(411\) 8490.99 + 4271.76i 1.01905 + 0.512678i
\(412\) 28325.4i 3.38711i
\(413\) 221.263 1505.64i 0.0263623 0.179389i
\(414\) 12799.4 1477.91i 1.51946 0.175448i
\(415\) 3202.86 5547.52i 0.378849 0.656186i
\(416\) 7078.09 + 12259.6i 0.834211 + 1.44490i
\(417\) 10637.7 6985.90i 1.24924 0.820386i
\(418\) −3776.49 2180.35i −0.441899 0.255131i
\(419\) −5925.57 −0.690890 −0.345445 0.938439i \(-0.612272\pi\)
−0.345445 + 0.938439i \(0.612272\pi\)
\(420\) −906.764 + 10227.0i −0.105347 + 1.18815i
\(421\) −568.868 −0.0658550 −0.0329275 0.999458i \(-0.510483\pi\)
−0.0329275 + 0.999458i \(0.510483\pi\)
\(422\) −15145.3 8744.17i −1.74707 1.00867i
\(423\) −1003.93 1352.45i −0.115396 0.155457i
\(424\) 831.001 + 1439.34i 0.0951816 + 0.164859i
\(425\) −807.851 + 1399.24i −0.0922035 + 0.159701i
\(426\) 18798.3 1081.70i 2.13798 0.123025i
\(427\) 3351.23 + 8447.07i 0.379807 + 0.957336i
\(428\) 277.553i 0.0313459i
\(429\) −2380.41 + 4731.55i −0.267896 + 0.532497i
\(430\) −5298.93 + 3059.34i −0.594273 + 0.343104i
\(431\) −9170.19 + 5294.41i −1.02485 + 0.591700i −0.915506 0.402303i \(-0.868210\pi\)
−0.109348 + 0.994003i \(0.534876\pi\)
\(432\) −10646.0 + 29060.2i −1.18567 + 3.23648i
\(433\) 10574.5i 1.17362i 0.809723 + 0.586812i \(0.199617\pi\)
−0.809723 + 0.586812i \(0.800383\pi\)
\(434\) −7495.16 5932.10i −0.828984 0.656106i
\(435\) −460.868 8009.16i −0.0507975 0.882781i
\(436\) −14008.2 + 24263.0i −1.53870 + 2.66510i
\(437\) 798.390 + 1382.85i 0.0873963 + 0.151375i
\(438\) 3295.15 + 5017.66i 0.359471 + 0.547382i
\(439\) −939.951 542.681i −0.102190 0.0589994i 0.448034 0.894017i \(-0.352124\pi\)
−0.550224 + 0.835017i \(0.685458\pi\)
\(440\) −16045.4 −1.73849
\(441\) −9116.53 1629.43i −0.984400 0.175945i
\(442\) −8032.72 −0.864429
\(443\) −257.587 148.718i −0.0276260 0.0159499i 0.486123 0.873890i \(-0.338411\pi\)
−0.513749 + 0.857940i \(0.671744\pi\)
\(444\) 10211.8 + 15549.9i 1.09151 + 1.66209i
\(445\) −2556.91 4428.70i −0.272380 0.471776i
\(446\) −1552.44 + 2688.90i −0.164821 + 0.285478i
\(447\) −252.935 4395.62i −0.0267638 0.465113i
\(448\) −22896.3 18121.5i −2.41462 1.91107i
\(449\) 8313.87i 0.873843i −0.899500 0.436922i \(-0.856069\pi\)
0.899500 0.436922i \(-0.143931\pi\)
\(450\) 3355.06 + 1452.79i 0.351464 + 0.152189i
\(451\) 10435.4 6024.90i 1.08955 0.629050i
\(452\) 14524.2 8385.56i 1.51142 0.872619i
\(453\) 978.177 1944.32i 0.101454 0.201661i
\(454\) 6495.03i 0.671425i
\(455\) 783.615 + 1975.17i 0.0807394 + 0.203511i
\(456\) −6792.29 + 390.846i −0.697540 + 0.0401382i
\(457\) −2604.24 + 4510.68i −0.266568 + 0.461709i −0.967973 0.251054i \(-0.919223\pi\)
0.701406 + 0.712762i \(0.252556\pi\)
\(458\) 11063.8 + 19163.0i 1.12877 + 1.95508i
\(459\) −5813.63 6957.97i −0.591192 0.707561i
\(460\) 8140.23 + 4699.76i 0.825087 + 0.476364i
\(461\) 7763.38 0.784332 0.392166 0.919895i \(-0.371726\pi\)
0.392166 + 0.919895i \(0.371726\pi\)
\(462\) 2044.92 23063.7i 0.205927 2.32255i
\(463\) 9492.44 0.952810 0.476405 0.879226i \(-0.341940\pi\)
0.476405 + 0.879226i \(0.341940\pi\)
\(464\) 58990.6 + 34058.2i 5.90209 + 3.40757i
\(465\) −2069.31 + 1358.94i −0.206370 + 0.135525i
\(466\) −1475.77 2556.11i −0.146704 0.254098i
\(467\) 1807.27 3130.28i 0.179080 0.310176i −0.762486 0.647005i \(-0.776021\pi\)
0.941566 + 0.336829i \(0.109354\pi\)
\(468\) 1516.43 + 13133.0i 0.149780 + 1.29717i
\(469\) 1498.82 10199.0i 0.147567 1.00415i
\(470\) 1689.46i 0.165806i
\(471\) −14127.5 7107.45i −1.38208 0.695317i
\(472\) 5140.89 2968.10i 0.501332 0.289444i
\(473\) 8691.44 5018.01i 0.844890 0.487798i
\(474\) −14515.2 7302.50i −1.40655 0.707626i
\(475\) 453.103i 0.0437680i
\(476\) 23739.7 9418.32i 2.28594 0.906907i
\(477\) 71.2498 + 617.056i 0.00683922 + 0.0592307i
\(478\) 5647.75 9782.18i 0.540422 0.936039i
\(479\) 44.6749 + 77.3792i 0.00426148 + 0.00738110i 0.868148 0.496305i \(-0.165310\pi\)
−0.863887 + 0.503686i \(0.831977\pi\)
\(480\) −13397.0 + 8797.97i −1.27393 + 0.836605i
\(481\) 3334.40 + 1925.12i 0.316082 + 0.182490i
\(482\) 4584.81 0.433263
\(483\) −4871.14 + 6939.47i −0.458891 + 0.653740i
\(484\) 13703.3 1.28693
\(485\) 2047.98 + 1182.40i 0.191740 + 0.110701i
\(486\) −14131.9 + 14874.6i −1.31901 + 1.38832i
\(487\) −4558.91 7896.27i −0.424197 0.734731i 0.572148 0.820151i \(-0.306110\pi\)
−0.996345 + 0.0854193i \(0.972777\pi\)
\(488\) −17724.1 + 30699.1i −1.64413 + 2.84771i
\(489\) −4705.62 + 270.773i −0.435164 + 0.0250405i
\(490\) −6368.30 6762.67i −0.587123 0.623482i
\(491\) 8849.23i 0.813361i −0.913570 0.406680i \(-0.866686\pi\)
0.913570 0.406680i \(-0.133314\pi\)
\(492\) 13516.9 26867.7i 1.23860 2.46197i
\(493\) −17282.4 + 9978.01i −1.57883 + 0.911536i
\(494\) −1950.88 + 1126.34i −0.177680 + 0.102584i
\(495\) −5503.04 2382.91i −0.499684 0.216371i
\(496\) 21020.1i 1.90288i
\(497\) −7689.56 + 9715.68i −0.694012 + 0.876877i
\(498\) 2071.40 + 35997.8i 0.186389 + 3.23915i
\(499\) 8611.60 14915.7i 0.772562 1.33812i −0.163593 0.986528i \(-0.552308\pi\)
0.936155 0.351588i \(-0.114358\pi\)
\(500\) 1333.61 + 2309.88i 0.119282 + 0.206602i
\(501\) 5028.91 + 7657.74i 0.448454 + 0.682879i
\(502\) 13697.9 + 7908.48i 1.21786 + 0.703133i
\(503\) −3093.21 −0.274193 −0.137097 0.990558i \(-0.543777\pi\)
−0.137097 + 0.990558i \(0.543777\pi\)
\(504\) −17085.5 31829.0i −1.51002 2.81305i
\(505\) 3308.55 0.291542
\(506\) −18357.7 10598.8i −1.61284 0.931176i
\(507\) −4764.56 7255.20i −0.417360 0.635532i
\(508\) −4730.29 8193.09i −0.413135 0.715570i
\(509\) 9975.53 17278.1i 0.868679 1.50460i 0.00533139 0.999986i \(-0.498303\pi\)
0.863347 0.504610i \(-0.168364\pi\)
\(510\) −522.465 9079.63i −0.0453630 0.788339i
\(511\) −3908.18 574.332i −0.338332 0.0497200i
\(512\) 8594.64i 0.741861i
\(513\) −2387.57 874.675i −0.205485 0.0752785i
\(514\) −14981.0 + 8649.30i −1.28557 + 0.742226i
\(515\) 5748.15 3318.69i 0.491832 0.283960i
\(516\) 11258.0 22377.5i 0.960474 1.90914i
\(517\) 2771.10i 0.235730i
\(518\) −16652.5 2447.19i −1.41249 0.207574i
\(519\) −8940.11 + 514.436i −0.756122 + 0.0435092i
\(520\) −4144.42 + 7178.34i −0.349509 + 0.605367i
\(521\) 6479.49 + 11222.8i 0.544859 + 0.943723i 0.998616 + 0.0525977i \(0.0167501\pi\)
−0.453757 + 0.891125i \(0.649917\pi\)
\(522\) 26915.6 + 36259.5i 2.25682 + 3.04030i
\(523\) 17989.0 + 10385.9i 1.50402 + 0.868347i 0.999989 + 0.00466274i \(0.00148420\pi\)
0.504033 + 0.863685i \(0.331849\pi\)
\(524\) −52702.0 −4.39370
\(525\) −2181.63 + 1014.21i −0.181360 + 0.0843122i
\(526\) −22141.1 −1.83536
\(527\) 5333.18 + 3079.11i 0.440829 + 0.254513i
\(528\) 42560.5 27949.9i 3.50797 2.30372i
\(529\) −2202.48 3814.81i −0.181021 0.313538i
\(530\) −311.523 + 539.573i −0.0255315 + 0.0442218i
\(531\) 2203.95 254.484i 0.180119 0.0207979i
\(532\) 4444.94 5616.14i 0.362242 0.457689i
\(533\) 6224.74i 0.505860i
\(534\) 25714.4 + 12936.8i 2.08384 + 1.04837i
\(535\) 56.3247 32.5191i 0.00455164 0.00262789i
\(536\) 34823.9 20105.6i 2.80628 1.62021i
\(537\) −928.188 466.965i −0.0745889 0.0375252i
\(538\) 22105.6i 1.77145i
\(539\) 10445.4 + 11092.3i 0.834725 + 0.886417i
\(540\) −14746.0 + 2568.27i −1.17512 + 0.204668i
\(541\) 5548.29 9609.91i 0.440923 0.763701i −0.556835 0.830623i \(-0.687984\pi\)
0.997758 + 0.0669217i \(0.0213178\pi\)
\(542\) −11954.1 20705.1i −0.947366 1.64089i
\(543\) 1158.60 760.867i 0.0915662 0.0601324i
\(544\) 34527.8 + 19934.6i 2.72126 + 1.57112i
\(545\) −6565.00 −0.515989
\(546\) −9789.94 6872.02i −0.767346 0.538636i
\(547\) 3805.15 0.297434 0.148717 0.988880i \(-0.452486\pi\)
0.148717 + 0.988880i \(0.452486\pi\)
\(548\) −33802.5 19515.9i −2.63498 1.52131i
\(549\) −10637.9 + 7896.55i −0.826985 + 0.613874i
\(550\) −3007.53 5209.19i −0.233166 0.403856i
\(551\) −2798.21 + 4846.64i −0.216348 + 0.374726i
\(552\) −33017.7 + 1899.92i −2.54588 + 0.146496i
\(553\) 9938.63 3942.98i 0.764256 0.303206i
\(554\) 25457.1i 1.95229i
\(555\) −1959.14 + 3894.19i −0.149840 + 0.297836i
\(556\) −45259.1 + 26130.4i −3.45218 + 1.99312i
\(557\) 2655.83 1533.34i 0.202031 0.116643i −0.395572 0.918435i \(-0.629453\pi\)
0.597602 + 0.801793i \(0.296120\pi\)
\(558\) 5537.30 12787.8i 0.420094 0.970160i
\(559\) 5184.45i 0.392270i
\(560\) 2970.06 20210.5i 0.224121 1.52509i
\(561\) 856.960 + 14892.6i 0.0644936 + 1.12080i
\(562\) 14191.9 24581.0i 1.06521 1.84500i
\(563\) 7931.28 + 13737.4i 0.593718 + 1.02835i 0.993726 + 0.111839i \(0.0356741\pi\)
−0.400008 + 0.916512i \(0.630993\pi\)
\(564\) 3796.72 + 5781.42i 0.283459 + 0.431634i
\(565\) 3403.41 + 1964.96i 0.253421 + 0.146312i
\(566\) −20002.6 −1.48547
\(567\) −1132.84 13453.7i −0.0839059 0.996474i
\(568\) −48332.1 −3.57037
\(569\) −9173.42 5296.28i −0.675870 0.390213i 0.122427 0.992477i \(-0.460932\pi\)
−0.798297 + 0.602264i \(0.794265\pi\)
\(570\) −1400.02 2131.88i −0.102878 0.156657i
\(571\) 5552.17 + 9616.64i 0.406920 + 0.704805i 0.994543 0.104329i \(-0.0332696\pi\)
−0.587623 + 0.809135i \(0.699936\pi\)
\(572\) 10875.1 18836.2i 0.794948 1.37689i
\(573\) −406.065 7056.77i −0.0296049 0.514487i
\(574\) 10034.8 + 25293.7i 0.729697 + 1.83927i
\(575\) 2202.56i 0.159745i
\(576\) 16915.5 39064.3i 1.22363 2.82583i
\(577\) 16951.9 9787.19i 1.22308 0.706146i 0.257507 0.966276i \(-0.417099\pi\)
0.965573 + 0.260130i \(0.0837656\pi\)
\(578\) 3453.42 1993.83i 0.248518 0.143482i
\(579\) −8168.76 + 16237.1i −0.586325 + 1.16544i
\(580\) 32943.6i 2.35846i
\(581\) −18605.1 14725.1i −1.32852 1.05146i
\(582\) −13289.3 + 764.702i −0.946496 + 0.0544638i
\(583\) 510.968 885.022i 0.0362986 0.0628711i
\(584\) −7704.28 13344.2i −0.545899 0.945526i
\(585\) −2487.45 + 1846.44i −0.175801 + 0.130497i
\(586\) −16137.9 9317.22i −1.13763 0.656810i
\(587\) 4516.62 0.317582 0.158791 0.987312i \(-0.449240\pi\)
0.158791 + 0.987312i \(0.449240\pi\)
\(588\) 36990.3 + 8830.74i 2.59431 + 0.619343i
\(589\) 1727.00 0.120815
\(590\) 1927.20 + 1112.67i 0.134477 + 0.0776405i
\(591\) 13546.2 8895.96i 0.942839 0.619172i
\(592\) −18506.6 32054.4i −1.28483 2.22539i
\(593\) 4634.46 8027.12i 0.320935 0.555875i −0.659746 0.751488i \(-0.729336\pi\)
0.980681 + 0.195613i \(0.0626696\pi\)
\(594\) 33255.0 5791.92i 2.29708 0.400076i
\(595\) 4692.71 + 3714.08i 0.323332 + 0.255903i
\(596\) 18080.2i 1.24261i
\(597\) −17216.6 8661.55i −1.18028 0.593792i
\(598\) −9483.31 + 5475.19i −0.648497 + 0.374410i
\(599\) −11438.3 + 6603.93i −0.780230 + 0.450466i −0.836512 0.547949i \(-0.815409\pi\)
0.0562818 + 0.998415i \(0.482075\pi\)
\(600\) −8383.46 4217.67i −0.570422 0.286976i
\(601\) 20312.8i 1.37866i 0.724446 + 0.689332i \(0.242096\pi\)
−0.724446 + 0.689332i \(0.757904\pi\)
\(602\) 8357.80 + 21066.6i 0.565845 + 1.42626i
\(603\) 14929.3 1723.85i 1.00824 0.116419i
\(604\) −4468.88 + 7740.32i −0.301053 + 0.521439i
\(605\) 1605.52 + 2780.85i 0.107891 + 0.186872i
\(606\) −15566.9 + 10223.0i −1.04350 + 0.685279i
\(607\) −5906.71 3410.24i −0.394969 0.228035i 0.289342 0.957226i \(-0.406563\pi\)
−0.684311 + 0.729191i \(0.739897\pi\)
\(608\) 11180.9 0.745795
\(609\) −29599.3 2624.40i −1.96950 0.174624i
\(610\) −13288.7 −0.882041
\(611\) 1239.72 + 715.753i 0.0820847 + 0.0473916i
\(612\) 22192.5 + 29896.8i 1.46582 + 1.97468i
\(613\) −8226.29 14248.4i −0.542018 0.938802i −0.998788 0.0492177i \(-0.984327\pi\)
0.456770 0.889585i \(-0.349006\pi\)
\(614\) −2606.02 + 4513.77i −0.171288 + 0.296679i
\(615\) 7036.02 404.871i 0.461333 0.0265463i
\(616\) −8641.27 + 58801.6i −0.565205 + 3.84608i
\(617\) 12385.4i 0.808130i 0.914730 + 0.404065i \(0.132403\pi\)
−0.914730 + 0.404065i \(0.867597\pi\)
\(618\) −16791.1 + 33375.6i −1.09294 + 2.17243i
\(619\) 16122.6 9308.36i 1.04688 0.604418i 0.125108 0.992143i \(-0.460072\pi\)
0.921775 + 0.387725i \(0.126739\pi\)
\(620\) 8804.07 5083.03i 0.570290 0.329257i
\(621\) −11606.1 4251.84i −0.749980 0.274751i
\(622\) 48024.5i 3.09583i
\(623\) −17606.8 + 6985.21i −1.13227 + 0.449208i
\(624\) −1511.06 26259.8i −0.0969401 1.68467i
\(625\) −312.500 + 541.266i −0.0200000 + 0.0346410i
\(626\) 19136.3 + 33145.1i 1.22179 + 2.11620i
\(627\) 2296.36 + 3496.76i 0.146264 + 0.222722i
\(628\) 56241.3 + 32470.9i 3.57368 + 2.06327i
\(629\) 10843.7 0.687390
\(630\) 7130.90 11512.8i 0.450955 0.728068i
\(631\) 2351.97 0.148385 0.0741923 0.997244i \(-0.476362\pi\)
0.0741923 + 0.997244i \(0.476362\pi\)
\(632\) 36119.9 + 20853.8i 2.27337 + 1.31253i
\(633\) 9209.38 + 14023.5i 0.578262 + 0.880544i
\(634\) 17981.5 + 31144.9i 1.12640 + 1.95098i
\(635\) 1108.43 1919.86i 0.0692706 0.119980i
\(636\) −146.534 2546.53i −0.00913592 0.158768i
\(637\) 7660.40 1807.98i 0.476477 0.112456i
\(638\) 74293.8i 4.61022i
\(639\) −16576.3 7177.79i −1.02621 0.444365i
\(640\) 15608.2 9011.37i 0.964010 0.556572i
\(641\) 3691.03 2131.02i 0.227437 0.131311i −0.381952 0.924182i \(-0.624748\pi\)
0.609389 + 0.792871i \(0.291415\pi\)
\(642\) −164.531 + 327.039i −0.0101145 + 0.0201047i
\(643\) 6939.64i 0.425618i 0.977094 + 0.212809i \(0.0682612\pi\)
−0.977094 + 0.212809i \(0.931739\pi\)
\(644\) 21607.1 27300.4i 1.32211 1.67047i
\(645\) 5860.15 337.208i 0.357741 0.0205854i
\(646\) −3172.21 + 5494.42i −0.193203 + 0.334637i
\(647\) 16226.1 + 28104.5i 0.985958 + 1.70773i 0.637600 + 0.770367i \(0.279927\pi\)
0.348358 + 0.937362i \(0.386740\pi\)
\(648\) 38408.0 36033.8i 2.32841 2.18448i
\(649\) −3161.04 1825.03i −0.191189 0.110383i
\(650\) −3107.29 −0.187504
\(651\) 3865.66 + 8315.25i 0.232730 + 0.500615i
\(652\) 19355.3 1.16260
\(653\) 15239.5 + 8798.55i 0.913276 + 0.527280i 0.881484 0.472214i \(-0.156545\pi\)
0.0317925 + 0.999494i \(0.489878\pi\)
\(654\) 30888.7 20284.9i 1.84686 1.21285i
\(655\) −6174.74 10695.0i −0.368347 0.637995i
\(656\) −29920.0 + 51823.0i −1.78076 + 3.08437i
\(657\) −660.563 5720.77i −0.0392253 0.339709i
\(658\) −6191.35 909.859i −0.366815 0.0539058i
\(659\) 11521.1i 0.681027i 0.940240 + 0.340514i \(0.110601\pi\)
−0.940240 + 0.340514i \(0.889399\pi\)
\(660\) 21998.5 + 11067.3i 1.29741 + 0.652719i
\(661\) 23492.6 13563.5i 1.38239 0.798120i 0.389944 0.920839i \(-0.372495\pi\)
0.992442 + 0.122718i \(0.0391612\pi\)
\(662\) −53609.6 + 30951.5i −3.14742 + 1.81717i
\(663\) 6883.95 + 3463.27i 0.403244 + 0.202869i
\(664\) 92553.6i 5.40930i
\(665\) 1660.48 + 244.019i 0.0968283 + 0.0142295i
\(666\) −2814.61 24375.8i −0.163760 1.41823i
\(667\) −13602.2 + 23559.8i −0.789627 + 1.36767i
\(668\) −18810.4 32580.5i −1.08951 1.88709i
\(669\) 2489.73 1635.03i 0.143884 0.0944901i
\(670\) 13054.7 + 7537.12i 0.752755 + 0.434604i
\(671\) 21796.5 1.25402
\(672\) 25026.9 + 53834.2i 1.43666 + 3.09032i
\(673\) −13645.5 −0.781566 −0.390783 0.920483i \(-0.627796\pi\)
−0.390783 + 0.920483i \(0.627796\pi\)
\(674\) −15423.1 8904.56i −0.881420 0.508888i
\(675\) −2248.88 2691.54i −0.128236 0.153478i
\(676\) 17821.6 + 30867.9i 1.01397 + 1.75625i
\(677\) −3038.14 + 5262.22i −0.172475 + 0.298735i −0.939284 0.343140i \(-0.888510\pi\)
0.766810 + 0.641874i \(0.221843\pi\)
\(678\) −22084.7 + 1270.81i −1.25097 + 0.0719840i
\(679\) 5436.09 6868.44i 0.307243 0.388198i
\(680\) 23344.6i 1.31651i
\(681\) −2800.30 + 5566.17i −0.157574 + 0.313210i
\(682\) −19854.8 + 11463.2i −1.11478 + 0.643618i
\(683\) −6220.19 + 3591.23i −0.348476 + 0.201193i −0.664014 0.747720i \(-0.731148\pi\)
0.315538 + 0.948913i \(0.397815\pi\)
\(684\) 9581.91 + 4149.12i 0.535634 + 0.231938i
\(685\) 9146.18i 0.510157i
\(686\) −28212.7 + 19695.8i −1.57021 + 1.09619i
\(687\) −1219.48 21192.6i −0.0677233 1.17692i
\(688\) −24919.8 + 43162.3i −1.38090 + 2.39178i
\(689\) −263.958 457.189i −0.0145951 0.0252794i
\(690\) −6805.59 10363.2i −0.375485 0.571766i
\(691\) −13426.5 7751.80i −0.739173 0.426762i 0.0825954 0.996583i \(-0.473679\pi\)
−0.821769 + 0.569821i \(0.807012\pi\)
\(692\) 36772.8 2.02008
\(693\) −11696.3 + 18883.6i −0.641132 + 1.03511i
\(694\) −29636.0 −1.62099
\(695\) −10605.4 6123.04i −0.578830 0.334187i
\(696\) −63627.2 96887.8i −3.46521 5.27662i
\(697\) −8765.65 15182.6i −0.476360 0.825079i
\(698\) −15294.0 + 26490.1i −0.829352 + 1.43648i
\(699\) 162.663 + 2826.84i 0.00880185 + 0.152962i
\(700\) 9183.20 3643.28i 0.495846 0.196718i
\(701\) 20937.6i 1.12811i 0.825739 + 0.564053i \(0.190759\pi\)
−0.825739 + 0.564053i \(0.809241\pi\)
\(702\) 5998.34 16373.5i 0.322497 0.880309i
\(703\) 2633.58 1520.50i 0.141291 0.0815742i
\(704\) −60652.8 + 35017.9i −3.24707 + 1.87470i
\(705\) −728.404 + 1447.85i −0.0389125 + 0.0773463i
\(706\) 55504.7i 2.95885i
\(707\) 1781.82 12124.8i 0.0947839 0.644980i
\(708\) −9095.47 + 523.377i −0.482809 + 0.0277821i
\(709\) −2420.87 + 4193.07i −0.128234 + 0.222107i −0.922992 0.384818i \(-0.874264\pi\)
0.794759 + 0.606926i \(0.207597\pi\)
\(710\) −9059.29 15691.1i −0.478858 0.829406i
\(711\) 9290.91 + 12516.3i 0.490065 + 0.660195i
\(712\) −63988.3 36943.7i −3.36807 1.94456i
\(713\) 8395.04 0.440949
\(714\) −33555.4 2975.16i −1.75880 0.155942i
\(715\) 5096.65 0.266579
\(716\) 3695.10 + 2133.37i 0.192866 + 0.111351i
\(717\) −9057.60 + 5948.22i −0.471775 + 0.309819i
\(718\) 2368.58 + 4102.50i 0.123112 + 0.213236i
\(719\) 13205.6 22872.8i 0.684961 1.18639i −0.288488 0.957483i \(-0.593153\pi\)
0.973449 0.228903i \(-0.0735140\pi\)
\(720\) 29584.0 3415.99i 1.53129 0.176814i
\(721\) −9066.33 22852.5i −0.468305 1.18040i
\(722\) 35372.1i 1.82329i
\(723\) −3929.13 1976.72i −0.202111 0.101681i
\(724\) −4929.38 + 2845.98i −0.253037 + 0.146091i
\(725\) −6685.34 + 3859.78i −0.342465 + 0.197722i
\(726\) −16146.5 8123.20i −0.825417 0.415262i
\(727\) 16397.6i 0.836524i 0.908326 + 0.418262i \(0.137361\pi\)
−0.908326 + 0.418262i \(0.862639\pi\)
\(728\) 24074.4 + 19053.9i 1.22563 + 0.970034i
\(729\) 18524.0 6654.41i 0.941118 0.338079i
\(730\) 2888.15 5002.43i 0.146432 0.253628i
\(731\) −7300.72 12645.2i −0.369394 0.639809i
\(732\) 45474.7 29863.7i 2.29616 1.50791i
\(733\) −16789.2 9693.24i −0.846006 0.488442i 0.0132952 0.999912i \(-0.495768\pi\)
−0.859301 + 0.511470i \(0.829101\pi\)
\(734\) 18248.7 0.917673
\(735\) 2541.86 + 8541.19i 0.127562 + 0.428635i
\(736\) 54350.7 2.72200
\(737\) −21412.6 12362.6i −1.07021 0.617885i
\(738\) −31853.9 + 23645.2i −1.58883 + 1.17939i
\(739\) 15662.9 + 27129.0i 0.779661 + 1.35041i 0.932137 + 0.362105i \(0.117942\pi\)
−0.152476 + 0.988307i \(0.548725\pi\)
\(740\) 8950.49 15502.7i 0.444630 0.770122i
\(741\) 2157.50 124.148i 0.106960 0.00615477i
\(742\) 1809.60 + 1432.22i 0.0895317 + 0.0708606i
\(743\) 21594.1i 1.06623i 0.846042 + 0.533116i \(0.178979\pi\)
−0.846042 + 0.533116i \(0.821021\pi\)
\(744\) −16075.6 + 31953.5i −0.792151 + 1.57456i
\(745\) −3669.08 + 2118.34i −0.180436 + 0.104175i
\(746\) 48764.4 28154.2i 2.39329 1.38177i
\(747\) 13745.1 31742.8i 0.673237 1.55476i
\(748\) 61257.0i 2.99435i
\(749\) −88.8387 223.926i −0.00433391 0.0109240i
\(750\) −202.105 3512.27i −0.00983976 0.171000i
\(751\) 4800.78 8315.20i 0.233266 0.404029i −0.725501 0.688221i \(-0.758392\pi\)
0.958767 + 0.284192i \(0.0917253\pi\)
\(752\) −6880.72 11917.8i −0.333662 0.577920i
\(753\) −8329.23 12683.3i −0.403100 0.613816i
\(754\) −33237.3 19189.5i −1.60534 0.926846i
\(755\) −2094.35 −0.100955
\(756\) 1470.46 + 55422.7i 0.0707409 + 2.66628i
\(757\) −37494.0 −1.80019 −0.900093 0.435697i \(-0.856502\pi\)
−0.900093 + 0.435697i \(0.856502\pi\)
\(758\) −50750.1 29300.6i −2.43183 1.40402i
\(759\) 11162.7 + 16997.9i 0.533835 + 0.812892i
\(760\) 3273.35 + 5669.61i 0.156233 + 0.270603i
\(761\) 20075.9 34772.5i 0.956309 1.65638i 0.224966 0.974367i \(-0.427773\pi\)
0.731343 0.682010i \(-0.238894\pi\)
\(762\) 716.862 + 12457.9i 0.0340803 + 0.592262i
\(763\) −3535.58 + 24058.7i −0.167754 + 1.14153i
\(764\) 29026.2i 1.37452i
\(765\) −3466.90 + 8006.40i −0.163851 + 0.378395i
\(766\) 49994.2 28864.1i 2.35818 1.36149i
\(767\) −1632.95 + 942.782i −0.0768739 + 0.0443832i
\(768\) −16138.2 + 32078.0i −0.758253 + 1.50718i
\(769\) 10187.4i 0.477722i 0.971054 + 0.238861i \(0.0767740\pi\)
−0.971054 + 0.238861i \(0.923226\pi\)
\(770\) −20709.8 + 8216.26i −0.969258 + 0.384537i
\(771\) 16567.7 953.346i 0.773892 0.0445317i
\(772\) 37319.6 64639.5i 1.73985