Properties

Label 230.4.g.b.31.5
Level $230$
Weight $4$
Character 230.31
Analytic conductor $13.570$
Analytic rank $0$
Dimension $60$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 230.g (of order \(11\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(13.5704393013\)
Analytic rank: \(0\)
Dimension: \(60\)
Relative dimension: \(6\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 31.5
Character \(\chi\) \(=\) 230.31
Dual form 230.4.g.b.141.5

$q$-expansion

\(f(q)\) \(=\) \(q+(0.284630 - 1.97964i) q^{2} +(2.61500 + 5.72604i) q^{3} +(-3.83797 - 1.12693i) q^{4} +(-3.27430 - 3.77875i) q^{5} +(12.0798 - 3.54696i) q^{6} +(-5.58110 - 3.58676i) q^{7} +(-3.32332 + 7.27706i) q^{8} +(-8.26814 + 9.54194i) q^{9} +O(q^{10})\) \(q+(0.284630 - 1.97964i) q^{2} +(2.61500 + 5.72604i) q^{3} +(-3.83797 - 1.12693i) q^{4} +(-3.27430 - 3.77875i) q^{5} +(12.0798 - 3.54696i) q^{6} +(-5.58110 - 3.58676i) q^{7} +(-3.32332 + 7.27706i) q^{8} +(-8.26814 + 9.54194i) q^{9} +(-8.41254 + 5.40641i) q^{10} +(-5.29972 - 36.8603i) q^{11} +(-3.58343 - 24.9233i) q^{12} +(66.5430 - 42.7646i) q^{13} +(-8.68904 + 10.0277i) q^{14} +(13.0750 - 28.6302i) q^{15} +(13.4601 + 8.65025i) q^{16} +(-31.1062 + 9.13360i) q^{17} +(16.5363 + 19.0839i) q^{18} +(93.5011 + 27.4544i) q^{19} +(8.30830 + 18.1926i) q^{20} +(5.94336 - 41.3370i) q^{21} -74.4788 q^{22} +(18.7390 - 108.701i) q^{23} -50.3592 q^{24} +(-3.55787 + 24.7455i) q^{25} +(-65.7185 - 143.903i) q^{26} +(86.8190 + 25.4923i) q^{27} +(17.3781 + 20.0554i) q^{28} +(129.524 - 38.0316i) q^{29} +(-52.9561 - 34.0328i) q^{30} +(10.5196 - 23.0346i) q^{31} +(20.9555 - 24.1840i) q^{32} +(197.205 - 126.736i) q^{33} +(9.22753 + 64.1788i) q^{34} +(4.72077 + 32.8337i) q^{35} +(42.4860 - 27.3041i) q^{36} +(40.1582 - 46.3450i) q^{37} +(80.9631 - 177.284i) q^{38} +(418.882 + 269.199i) q^{39} +(38.3797 - 11.2693i) q^{40} +(123.380 + 142.388i) q^{41} +(-80.1408 - 23.5315i) q^{42} +(-103.311 - 226.220i) q^{43} +(-21.1989 + 147.441i) q^{44} +63.1290 q^{45} +(-209.855 - 68.0360i) q^{46} -169.871 q^{47} +(-14.3337 + 99.6933i) q^{48} +(-124.203 - 271.968i) q^{49} +(47.9746 + 14.0866i) q^{50} +(-133.642 - 154.231i) q^{51} +(-303.583 + 89.1400i) q^{52} +(-326.074 - 209.555i) q^{53} +(75.1770 - 164.615i) q^{54} +(-121.933 + 140.718i) q^{55} +(44.6488 - 28.6941i) q^{56} +(87.3000 + 607.185i) q^{57} +(-38.4226 - 267.235i) q^{58} +(-718.117 + 461.506i) q^{59} +(-82.4457 + 95.1474i) q^{60} +(230.280 - 504.244i) q^{61} +(-42.6061 - 27.3813i) q^{62} +(80.3699 - 23.5987i) q^{63} +(-41.9111 - 48.3680i) q^{64} +(-379.479 - 111.425i) q^{65} +(-194.762 - 426.469i) q^{66} +(43.0866 - 299.674i) q^{67} +129.678 q^{68} +(671.428 - 176.952i) q^{69} +66.3427 q^{70} +(32.8087 - 228.190i) q^{71} +(-41.9596 - 91.8786i) q^{72} +(424.979 + 124.785i) q^{73} +(-80.3163 - 92.6900i) q^{74} +(-150.998 + 44.3370i) q^{75} +(-327.915 - 210.738i) q^{76} +(-102.631 + 224.730i) q^{77} +(652.144 - 752.614i) q^{78} +(-671.103 + 431.291i) q^{79} +(-11.3852 - 79.1857i) q^{80} +(129.576 + 901.218i) q^{81} +(316.995 - 203.720i) q^{82} +(-194.287 + 224.220i) q^{83} +(-69.3944 + 151.952i) q^{84} +(136.365 + 87.6363i) q^{85} +(-477.240 + 140.130i) q^{86} +(556.474 + 642.205i) q^{87} +(285.847 + 83.9324i) q^{88} +(375.334 + 821.866i) q^{89} +(17.9684 - 124.973i) q^{90} -524.769 q^{91} +(-194.418 + 396.073i) q^{92} +159.406 q^{93} +(-48.3504 + 336.284i) q^{94} +(-202.408 - 443.211i) q^{95} +(193.277 + 56.7513i) q^{96} +(-180.513 - 208.324i) q^{97} +(-573.751 + 168.468i) q^{98} +(395.538 + 254.197i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60q + 12q^{2} - 3q^{3} - 24q^{4} - 30q^{5} + 6q^{6} + 100q^{7} + 48q^{8} + 69q^{9} + O(q^{10}) \) \( 60q + 12q^{2} - 3q^{3} - 24q^{4} - 30q^{5} + 6q^{6} + 100q^{7} + 48q^{8} + 69q^{9} + 60q^{10} - 51q^{11} + 120q^{12} + 184q^{13} + 20q^{14} - 15q^{15} - 96q^{16} - 334q^{17} - 138q^{18} + 258q^{19} - 120q^{20} + 716q^{21} + 344q^{22} - 288q^{23} + 288q^{24} - 150q^{25} + 336q^{26} - 813q^{27} - 40q^{28} + 1462q^{29} + 30q^{30} - 481q^{31} + 192q^{32} + 269q^{33} - 168q^{34} - 380q^{35} + 12q^{36} - 787q^{37} - 978q^{38} + 2065q^{39} + 240q^{40} - 1843q^{41} + 724q^{42} + 128q^{43} - 204q^{44} + 2380q^{45} + 92q^{46} - 1838q^{47} + 480q^{48} - 606q^{49} + 300q^{50} + 2320q^{51} - 12q^{52} - 3284q^{53} + 636q^{54} - 200q^{55} - 800q^{56} - 2710q^{57} - 856q^{58} - 2708q^{59} - 60q^{60} + 437q^{61} + 962q^{62} + 6063q^{63} - 384q^{64} - 15q^{65} + 1090q^{66} + 2804q^{67} + 600q^{68} + 7900q^{69} - 120q^{70} + 2676q^{71} + 1384q^{72} + 876q^{73} + 1574q^{74} - 75q^{75} + 20q^{76} + 9310q^{77} - 2612q^{78} - 1233q^{79} - 480q^{80} - 6030q^{81} - 1132q^{82} - 9923q^{83} - 964q^{84} + 1300q^{85} + 5222q^{86} - 5719q^{87} - 1176q^{88} - 1827q^{89} + 190q^{90} - 7626q^{91} + 564q^{92} + 230q^{93} - 1142q^{94} + 2445q^{95} + 96q^{96} + 939q^{97} - 5916q^{98} - 10589q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{11}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.284630 1.97964i 0.100632 0.699909i
\(3\) 2.61500 + 5.72604i 0.503256 + 1.10198i 0.975397 + 0.220455i \(0.0707541\pi\)
−0.472141 + 0.881523i \(0.656519\pi\)
\(4\) −3.83797 1.12693i −0.479746 0.140866i
\(5\) −3.27430 3.77875i −0.292863 0.337981i
\(6\) 12.0798 3.54696i 0.821928 0.241340i
\(7\) −5.58110 3.58676i −0.301351 0.193667i 0.381223 0.924483i \(-0.375503\pi\)
−0.682574 + 0.730817i \(0.739139\pi\)
\(8\) −3.32332 + 7.27706i −0.146871 + 0.321603i
\(9\) −8.26814 + 9.54194i −0.306227 + 0.353405i
\(10\) −8.41254 + 5.40641i −0.266028 + 0.170966i
\(11\) −5.29972 36.8603i −0.145266 1.01035i −0.923836 0.382789i \(-0.874964\pi\)
0.778570 0.627558i \(-0.215945\pi\)
\(12\) −3.58343 24.9233i −0.0862040 0.599562i
\(13\) 66.5430 42.7646i 1.41967 0.912366i 0.419681 0.907672i \(-0.362142\pi\)
0.999989 0.00469466i \(-0.00149436\pi\)
\(14\) −8.68904 + 10.0277i −0.165875 + 0.191430i
\(15\) 13.0750 28.6302i 0.225063 0.492819i
\(16\) 13.4601 + 8.65025i 0.210313 + 0.135160i
\(17\) −31.1062 + 9.13360i −0.443786 + 0.130307i −0.495988 0.868329i \(-0.665194\pi\)
0.0522024 + 0.998637i \(0.483376\pi\)
\(18\) 16.5363 + 19.0839i 0.216535 + 0.249895i
\(19\) 93.5011 + 27.4544i 1.12898 + 0.331498i 0.792307 0.610123i \(-0.208880\pi\)
0.336673 + 0.941622i \(0.390698\pi\)
\(20\) 8.30830 + 18.1926i 0.0928896 + 0.203400i
\(21\) 5.94336 41.3370i 0.0617594 0.429546i
\(22\) −74.4788 −0.721769
\(23\) 18.7390 108.701i 0.169885 0.985464i
\(24\) −50.3592 −0.428314
\(25\) −3.55787 + 24.7455i −0.0284630 + 0.197964i
\(26\) −65.7185 143.903i −0.495710 1.08545i
\(27\) 86.8190 + 25.4923i 0.618827 + 0.181704i
\(28\) 17.3781 + 20.0554i 0.117291 + 0.135361i
\(29\) 129.524 38.0316i 0.829377 0.243527i 0.160628 0.987015i \(-0.448648\pi\)
0.668749 + 0.743488i \(0.266830\pi\)
\(30\) −52.9561 34.0328i −0.322280 0.207117i
\(31\) 10.5196 23.0346i 0.0609474 0.133456i −0.876708 0.481024i \(-0.840265\pi\)
0.937655 + 0.347568i \(0.112992\pi\)
\(32\) 20.9555 24.1840i 0.115764 0.133599i
\(33\) 197.205 126.736i 1.04027 0.668543i
\(34\) 9.22753 + 64.1788i 0.0465443 + 0.323723i
\(35\) 4.72077 + 32.8337i 0.0227988 + 0.158569i
\(36\) 42.4860 27.3041i 0.196694 0.126408i
\(37\) 40.1582 46.3450i 0.178431 0.205921i −0.659488 0.751715i \(-0.729227\pi\)
0.837919 + 0.545795i \(0.183772\pi\)
\(38\) 80.9631 177.284i 0.345630 0.756824i
\(39\) 418.882 + 269.199i 1.71987 + 1.10529i
\(40\) 38.3797 11.2693i 0.151709 0.0445458i
\(41\) 123.380 + 142.388i 0.469969 + 0.542373i 0.940403 0.340062i \(-0.110448\pi\)
−0.470434 + 0.882435i \(0.655903\pi\)
\(42\) −80.1408 23.5315i −0.294429 0.0864520i
\(43\) −103.311 226.220i −0.366391 0.802284i −0.999599 0.0283025i \(-0.990990\pi\)
0.633209 0.773981i \(-0.281737\pi\)
\(44\) −21.1989 + 147.441i −0.0726329 + 0.505173i
\(45\) 63.1290 0.209127
\(46\) −209.855 68.0360i −0.672640 0.218073i
\(47\) −169.871 −0.527197 −0.263598 0.964633i \(-0.584909\pi\)
−0.263598 + 0.964633i \(0.584909\pi\)
\(48\) −14.3337 + 99.6933i −0.0431020 + 0.299781i
\(49\) −124.203 271.968i −0.362109 0.792909i
\(50\) 47.9746 + 14.0866i 0.135693 + 0.0398430i
\(51\) −133.642 154.231i −0.366934 0.423464i
\(52\) −303.583 + 89.1400i −0.809603 + 0.237721i
\(53\) −326.074 209.555i −0.845088 0.543105i 0.0449510 0.998989i \(-0.485687\pi\)
−0.890039 + 0.455884i \(0.849323\pi\)
\(54\) 75.1770 164.615i 0.189450 0.414837i
\(55\) −121.933 + 140.718i −0.298935 + 0.344990i
\(56\) 44.6488 28.6941i 0.106544 0.0684715i
\(57\) 87.3000 + 607.185i 0.202862 + 1.41094i
\(58\) −38.4226 267.235i −0.0869852 0.604995i
\(59\) −718.117 + 461.506i −1.58459 + 1.01835i −0.610550 + 0.791977i \(0.709052\pi\)
−0.974040 + 0.226377i \(0.927312\pi\)
\(60\) −82.4457 + 95.1474i −0.177395 + 0.204725i
\(61\) 230.280 504.244i 0.483351 1.05839i −0.498178 0.867075i \(-0.665997\pi\)
0.981529 0.191315i \(-0.0612753\pi\)
\(62\) −42.6061 27.3813i −0.0872739 0.0560876i
\(63\) 80.3699 23.5987i 0.160725 0.0471931i
\(64\) −41.9111 48.3680i −0.0818576 0.0944687i
\(65\) −379.479 111.425i −0.724131 0.212624i
\(66\) −194.762 426.469i −0.363235 0.795374i
\(67\) 43.0866 299.674i 0.0785652 0.546433i −0.912084 0.410002i \(-0.865528\pi\)
0.990650 0.136431i \(-0.0435631\pi\)
\(68\) 129.678 0.231261
\(69\) 671.428 176.952i 1.17146 0.308731i
\(70\) 66.3427 0.113278
\(71\) 32.8087 228.190i 0.0548405 0.381424i −0.943855 0.330360i \(-0.892830\pi\)
0.998695 0.0510639i \(-0.0162612\pi\)
\(72\) −41.9596 91.8786i −0.0686803 0.150389i
\(73\) 424.979 + 124.785i 0.681370 + 0.200068i 0.604060 0.796939i \(-0.293549\pi\)
0.0773102 + 0.997007i \(0.475367\pi\)
\(74\) −80.3163 92.6900i −0.126170 0.145608i
\(75\) −150.998 + 44.3370i −0.232476 + 0.0682612i
\(76\) −327.915 210.738i −0.494927 0.318070i
\(77\) −102.631 + 224.730i −0.151894 + 0.332602i
\(78\) 652.144 752.614i 0.946676 1.09252i
\(79\) −671.103 + 431.291i −0.955759 + 0.614229i −0.922821 0.385229i \(-0.874123\pi\)
−0.0329376 + 0.999457i \(0.510486\pi\)
\(80\) −11.3852 79.1857i −0.0159113 0.110665i
\(81\) 129.576 + 901.218i 0.177744 + 1.23624i
\(82\) 316.995 203.720i 0.426906 0.274356i
\(83\) −194.287 + 224.220i −0.256938 + 0.296522i −0.869533 0.493875i \(-0.835580\pi\)
0.612595 + 0.790397i \(0.290126\pi\)
\(84\) −69.3944 + 151.952i −0.0901375 + 0.197374i
\(85\) 136.365 + 87.6363i 0.174010 + 0.111829i
\(86\) −477.240 + 140.130i −0.598396 + 0.175705i
\(87\) 556.474 + 642.205i 0.685750 + 0.791398i
\(88\) 285.847 + 83.9324i 0.346266 + 0.101673i
\(89\) 375.334 + 821.866i 0.447026 + 0.978850i 0.990255 + 0.139266i \(0.0444742\pi\)
−0.543229 + 0.839584i \(0.682799\pi\)
\(90\) 17.9684 124.973i 0.0210448 0.146370i
\(91\) −524.769 −0.604514
\(92\) −194.418 + 396.073i −0.220320 + 0.448842i
\(93\) 159.406 0.177738
\(94\) −48.3504 + 336.284i −0.0530528 + 0.368990i
\(95\) −202.408 443.211i −0.218596 0.478658i
\(96\) 193.277 + 56.7513i 0.205482 + 0.0603350i
\(97\) −180.513 208.324i −0.188952 0.218063i 0.653367 0.757041i \(-0.273356\pi\)
−0.842319 + 0.538979i \(0.818810\pi\)
\(98\) −573.751 + 168.468i −0.591404 + 0.173652i
\(99\) 395.538 + 254.197i 0.401546 + 0.258058i
\(100\) 41.5415 90.9632i 0.0415415 0.0909632i
\(101\) 988.021 1140.24i 0.973384 1.12334i −0.0189576 0.999820i \(-0.506035\pi\)
0.992342 0.123525i \(-0.0394198\pi\)
\(102\) −343.361 + 220.665i −0.333312 + 0.214207i
\(103\) 241.455 + 1679.36i 0.230983 + 1.60652i 0.693867 + 0.720103i \(0.255906\pi\)
−0.462884 + 0.886419i \(0.653185\pi\)
\(104\) 90.0566 + 626.358i 0.0849113 + 0.590571i
\(105\) −175.662 + 112.891i −0.163266 + 0.104925i
\(106\) −507.654 + 585.864i −0.465167 + 0.536832i
\(107\) −278.910 + 610.728i −0.251993 + 0.551788i −0.992780 0.119953i \(-0.961726\pi\)
0.740787 + 0.671741i \(0.234453\pi\)
\(108\) −304.481 195.678i −0.271284 0.174344i
\(109\) 792.883 232.812i 0.696738 0.204581i 0.0858621 0.996307i \(-0.472636\pi\)
0.610876 + 0.791726i \(0.290817\pi\)
\(110\) 243.866 + 281.436i 0.211379 + 0.243945i
\(111\) 370.387 + 108.755i 0.316717 + 0.0929965i
\(112\) −44.0956 96.5559i −0.0372022 0.0814614i
\(113\) −26.4781 + 184.159i −0.0220429 + 0.153312i −0.997870 0.0652314i \(-0.979221\pi\)
0.975827 + 0.218543i \(0.0701305\pi\)
\(114\) 1226.86 1.00794
\(115\) −472.110 + 285.109i −0.382822 + 0.231188i
\(116\) −539.967 −0.432195
\(117\) −142.130 + 988.533i −0.112307 + 0.781110i
\(118\) 709.219 + 1552.97i 0.553296 + 1.21155i
\(119\) 206.367 + 60.5948i 0.158972 + 0.0466783i
\(120\) 164.891 + 190.295i 0.125437 + 0.144762i
\(121\) −53.5121 + 15.7126i −0.0402045 + 0.0118051i
\(122\) −932.678 599.396i −0.692137 0.444809i
\(123\) −492.682 + 1078.82i −0.361168 + 0.790847i
\(124\) −66.3322 + 76.5514i −0.0480387 + 0.0554397i
\(125\) 105.157 67.5801i 0.0752440 0.0483564i
\(126\) −23.8414 165.821i −0.0168568 0.117242i
\(127\) 340.224 + 2366.31i 0.237716 + 1.65335i 0.663241 + 0.748406i \(0.269181\pi\)
−0.425524 + 0.904947i \(0.639910\pi\)
\(128\) −107.680 + 69.2020i −0.0743570 + 0.0477863i
\(129\) 1025.19 1183.13i 0.699710 0.807509i
\(130\) −328.593 + 719.517i −0.221688 + 0.485430i
\(131\) 1788.44 + 1149.36i 1.19280 + 0.766567i 0.977696 0.210024i \(-0.0673541\pi\)
0.215106 + 0.976591i \(0.430990\pi\)
\(132\) −899.691 + 264.173i −0.593243 + 0.174192i
\(133\) −423.367 488.591i −0.276019 0.318543i
\(134\) −580.984 170.592i −0.374548 0.109977i
\(135\) −187.942 411.537i −0.119819 0.262366i
\(136\) 36.9101 256.715i 0.0232722 0.161861i
\(137\) −2347.30 −1.46382 −0.731911 0.681400i \(-0.761371\pi\)
−0.731911 + 0.681400i \(0.761371\pi\)
\(138\) −159.193 1379.55i −0.0981984 0.850981i
\(139\) 2487.38 1.51782 0.758908 0.651198i \(-0.225733\pi\)
0.758908 + 0.651198i \(0.225733\pi\)
\(140\) 18.8831 131.335i 0.0113994 0.0792844i
\(141\) −444.212 972.690i −0.265315 0.580959i
\(142\) −442.396 129.899i −0.261444 0.0767668i
\(143\) −1928.98 2226.16i −1.12804 1.30182i
\(144\) −193.830 + 56.9136i −0.112170 + 0.0329361i
\(145\) −567.811 364.910i −0.325201 0.208994i
\(146\) 367.992 805.789i 0.208597 0.456764i
\(147\) 1232.51 1422.39i 0.691534 0.798073i
\(148\) −206.353 + 132.615i −0.114609 + 0.0736548i
\(149\) −152.804 1062.77i −0.0840146 0.584334i −0.987727 0.156193i \(-0.950078\pi\)
0.903712 0.428141i \(-0.140831\pi\)
\(150\) 44.7929 + 311.541i 0.0243822 + 0.169582i
\(151\) 184.335 118.465i 0.0993440 0.0638445i −0.490026 0.871708i \(-0.663013\pi\)
0.589370 + 0.807864i \(0.299376\pi\)
\(152\) −510.521 + 589.173i −0.272426 + 0.314396i
\(153\) 170.038 372.331i 0.0898481 0.196740i
\(154\) 415.674 + 267.137i 0.217506 + 0.139783i
\(155\) −121.486 + 35.6716i −0.0629549 + 0.0184852i
\(156\) −1304.29 1505.23i −0.669401 0.772530i
\(157\) −2455.46 720.988i −1.24820 0.366504i −0.410108 0.912037i \(-0.634509\pi\)
−0.838089 + 0.545533i \(0.816327\pi\)
\(158\) 662.787 + 1451.30i 0.333725 + 0.730756i
\(159\) 347.239 2415.10i 0.173194 1.20459i
\(160\) −160.000 −0.0790569
\(161\) −494.467 + 539.458i −0.242047 + 0.264070i
\(162\) 1820.97 0.883142
\(163\) 181.654 1263.43i 0.0872900 0.607115i −0.898480 0.439015i \(-0.855328\pi\)
0.985770 0.168100i \(-0.0537633\pi\)
\(164\) −313.067 685.522i −0.149064 0.326404i
\(165\) −1124.61 330.216i −0.530612 0.155802i
\(166\) 388.575 + 448.439i 0.181682 + 0.209673i
\(167\) −2517.34 + 739.158i −1.16645 + 0.342502i −0.806937 0.590637i \(-0.798876\pi\)
−0.359516 + 0.933139i \(0.617058\pi\)
\(168\) 281.060 + 180.626i 0.129073 + 0.0829501i
\(169\) 1686.49 3692.91i 0.767635 1.68089i
\(170\) 212.302 245.010i 0.0957813 0.110537i
\(171\) −1035.05 + 665.185i −0.462878 + 0.297474i
\(172\) 141.571 + 984.650i 0.0627599 + 0.436505i
\(173\) 406.954 + 2830.43i 0.178845 + 1.24389i 0.859442 + 0.511234i \(0.170811\pi\)
−0.680597 + 0.732658i \(0.738279\pi\)
\(174\) 1429.73 918.829i 0.622915 0.400323i
\(175\) 108.613 125.346i 0.0469164 0.0541444i
\(176\) 247.517 541.986i 0.106007 0.232124i
\(177\) −4520.47 2905.13i −1.91966 1.23369i
\(178\) 1733.83 509.099i 0.730092 0.214374i
\(179\) −1760.30 2031.50i −0.735035 0.848275i 0.257994 0.966146i \(-0.416938\pi\)
−0.993029 + 0.117871i \(0.962393\pi\)
\(180\) −242.287 71.1420i −0.100328 0.0294589i
\(181\) 925.141 + 2025.78i 0.379918 + 0.831904i 0.998918 + 0.0465131i \(0.0148109\pi\)
−0.619000 + 0.785391i \(0.712462\pi\)
\(182\) −149.365 + 1038.86i −0.0608333 + 0.423105i
\(183\) 3489.51 1.40957
\(184\) 728.746 + 497.612i 0.291977 + 0.199372i
\(185\) −306.616 −0.121853
\(186\) 45.3716 315.567i 0.0178861 0.124400i
\(187\) 501.522 + 1098.18i 0.196122 + 0.429448i
\(188\) 651.961 + 191.433i 0.252921 + 0.0742643i
\(189\) −393.111 453.674i −0.151294 0.174603i
\(190\) −935.011 + 274.544i −0.357015 + 0.104829i
\(191\) 175.939 + 113.069i 0.0666517 + 0.0428344i 0.573542 0.819176i \(-0.305569\pi\)
−0.506891 + 0.862010i \(0.669205\pi\)
\(192\) 167.360 366.467i 0.0629071 0.137747i
\(193\) −1956.45 + 2257.86i −0.729680 + 0.842095i −0.992436 0.122767i \(-0.960823\pi\)
0.262756 + 0.964862i \(0.415369\pi\)
\(194\) −463.786 + 298.057i −0.171639 + 0.110305i
\(195\) −354.311 2464.29i −0.130117 0.904981i
\(196\) 170.201 + 1183.77i 0.0620265 + 0.431404i
\(197\) −48.4555 + 31.1404i −0.0175244 + 0.0112623i −0.549374 0.835577i \(-0.685134\pi\)
0.531849 + 0.846839i \(0.321497\pi\)
\(198\) 615.801 710.672i 0.221026 0.255077i
\(199\) 361.708 792.031i 0.128848 0.282139i −0.834202 0.551458i \(-0.814072\pi\)
0.963051 + 0.269320i \(0.0867988\pi\)
\(200\) −168.251 108.128i −0.0594856 0.0382291i
\(201\) 1828.62 536.931i 0.641696 0.188419i
\(202\) −1976.04 2280.47i −0.688286 0.794325i
\(203\) −859.294 252.312i −0.297097 0.0872355i
\(204\) 339.107 + 742.540i 0.116383 + 0.254844i
\(205\) 134.065 932.443i 0.0456757 0.317681i
\(206\) 3393.25 1.14766
\(207\) 882.279 + 1077.56i 0.296245 + 0.361814i
\(208\) 1265.60 0.421891
\(209\) 516.449 3591.98i 0.170926 1.18882i
\(210\) 173.486 + 379.881i 0.0570079 + 0.124830i
\(211\) −8.47941 2.48978i −0.00276657 0.000812339i 0.280349 0.959898i \(-0.409550\pi\)
−0.283116 + 0.959086i \(0.591368\pi\)
\(212\) 1015.31 + 1171.73i 0.328923 + 0.379597i
\(213\) 1392.42 408.851i 0.447920 0.131521i
\(214\) 1129.64 + 725.974i 0.360843 + 0.231900i
\(215\) −516.556 + 1131.10i −0.163855 + 0.358792i
\(216\) −474.036 + 547.067i −0.149325 + 0.172330i
\(217\) −141.330 + 90.8274i −0.0442126 + 0.0284137i
\(218\) −235.206 1635.89i −0.0730740 0.508241i
\(219\) 396.794 + 2759.76i 0.122433 + 0.851541i
\(220\) 626.555 402.663i 0.192011 0.123398i
\(221\) −1679.30 + 1938.02i −0.511141 + 0.589889i
\(222\) 320.720 702.279i 0.0969609 0.212315i
\(223\) 5152.17 + 3311.10i 1.54715 + 0.994294i 0.986031 + 0.166560i \(0.0532658\pi\)
0.561120 + 0.827734i \(0.310371\pi\)
\(224\) −203.697 + 59.8109i −0.0607593 + 0.0178405i
\(225\) −206.703 238.549i −0.0612455 0.0706810i
\(226\) 357.033 + 104.834i 0.105086 + 0.0308561i
\(227\) −1054.25 2308.50i −0.308253 0.674979i 0.690581 0.723255i \(-0.257355\pi\)
−0.998834 + 0.0482756i \(0.984627\pi\)
\(228\) 349.200 2428.74i 0.101431 0.705470i
\(229\) 2976.63 0.858958 0.429479 0.903077i \(-0.358697\pi\)
0.429479 + 0.903077i \(0.358697\pi\)
\(230\) 430.038 + 1015.76i 0.123286 + 0.291205i
\(231\) −1555.19 −0.442962
\(232\) −153.691 + 1068.94i −0.0434926 + 0.302498i
\(233\) −422.169 924.420i −0.118700 0.259918i 0.840950 0.541112i \(-0.181997\pi\)
−0.959651 + 0.281195i \(0.909269\pi\)
\(234\) 1916.49 + 562.732i 0.535405 + 0.157209i
\(235\) 556.210 + 641.900i 0.154396 + 0.178183i
\(236\) 3276.20 961.978i 0.903653 0.265337i
\(237\) −4224.53 2714.94i −1.15786 0.744110i
\(238\) 178.694 391.286i 0.0486682 0.106568i
\(239\) 3674.76 4240.90i 0.994563 1.14779i 0.00554655 0.999985i \(-0.498234\pi\)
0.989017 0.147803i \(-0.0472201\pi\)
\(240\) 423.649 272.262i 0.113943 0.0732270i
\(241\) −120.545 838.411i −0.0322199 0.224095i 0.967349 0.253447i \(-0.0815645\pi\)
−0.999569 + 0.0293528i \(0.990655\pi\)
\(242\) 15.8742 + 110.407i 0.00421665 + 0.0293275i
\(243\) −2766.33 + 1777.81i −0.730289 + 0.469328i
\(244\) −1452.06 + 1675.76i −0.380977 + 0.439671i
\(245\) −621.017 + 1359.84i −0.161940 + 0.354600i
\(246\) 1995.45 + 1282.40i 0.517177 + 0.332369i
\(247\) 7395.92 2171.64i 1.90523 0.559425i
\(248\) 132.664 + 153.103i 0.0339685 + 0.0392018i
\(249\) −1791.95 526.165i −0.456066 0.133913i
\(250\) −103.854 227.408i −0.0262732 0.0575302i
\(251\) −291.485 + 2027.33i −0.0733004 + 0.509815i 0.919785 + 0.392422i \(0.128363\pi\)
−0.993086 + 0.117393i \(0.962546\pi\)
\(252\) −335.052 −0.0837551
\(253\) −4106.06 114.644i −1.02034 0.0284885i
\(254\) 4781.28 1.18112
\(255\) −145.216 + 1010.00i −0.0356619 + 0.248034i
\(256\) 106.346 + 232.866i 0.0259634 + 0.0568520i
\(257\) −640.367 188.029i −0.155428 0.0456378i 0.203093 0.979159i \(-0.434901\pi\)
−0.358521 + 0.933522i \(0.616719\pi\)
\(258\) −2050.37 2366.26i −0.494770 0.570995i
\(259\) −390.355 + 114.619i −0.0936505 + 0.0274983i
\(260\) 1330.86 + 855.292i 0.317448 + 0.204011i
\(261\) −708.024 + 1550.36i −0.167914 + 0.367681i
\(262\) 2784.37 3213.34i 0.656561 0.757712i
\(263\) 369.814 237.665i 0.0867062 0.0557227i −0.496569 0.867997i \(-0.665407\pi\)
0.583276 + 0.812274i \(0.301771\pi\)
\(264\) 266.890 + 1856.26i 0.0622194 + 0.432745i
\(265\) 275.809 + 1918.30i 0.0639352 + 0.444679i
\(266\) −1087.74 + 699.048i −0.250728 + 0.161133i
\(267\) −3724.55 + 4298.36i −0.853703 + 0.985225i
\(268\) −503.077 + 1101.59i −0.114665 + 0.251082i
\(269\) −246.815 158.618i −0.0559427 0.0359522i 0.512371 0.858764i \(-0.328767\pi\)
−0.568313 + 0.822812i \(0.692404\pi\)
\(270\) −868.190 + 254.923i −0.195690 + 0.0574598i
\(271\) 3349.81 + 3865.89i 0.750873 + 0.866554i 0.994653 0.103277i \(-0.0329327\pi\)
−0.243779 + 0.969831i \(0.578387\pi\)
\(272\) −497.699 146.138i −0.110946 0.0325768i
\(273\) −1372.27 3004.85i −0.304226 0.666161i
\(274\) −668.112 + 4646.82i −0.147307 + 1.02454i
\(275\) 930.984 0.204147
\(276\) −2776.33 77.5169i −0.605491 0.0169057i
\(277\) −1047.01 −0.227107 −0.113553 0.993532i \(-0.536223\pi\)
−0.113553 + 0.993532i \(0.536223\pi\)
\(278\) 707.981 4924.11i 0.152741 1.06233i
\(279\) 132.818 + 290.830i 0.0285003 + 0.0624070i
\(280\) −254.621 74.7636i −0.0543448 0.0159571i
\(281\) −5704.88 6583.78i −1.21112 1.39771i −0.893243 0.449574i \(-0.851576\pi\)
−0.317876 0.948132i \(-0.602969\pi\)
\(282\) −2052.01 + 602.526i −0.433318 + 0.127234i
\(283\) −346.084 222.414i −0.0726945 0.0467179i 0.503789 0.863827i \(-0.331939\pi\)
−0.576483 + 0.817109i \(0.695575\pi\)
\(284\) −383.073 + 838.812i −0.0800394 + 0.175262i
\(285\) 2008.55 2317.99i 0.417461 0.481775i
\(286\) −4956.04 + 3185.05i −1.02467 + 0.658518i
\(287\) −177.885 1237.22i −0.0365861 0.254462i
\(288\) 57.4988 + 399.913i 0.0117644 + 0.0818233i
\(289\) −3248.91 + 2087.95i −0.661288 + 0.424984i
\(290\) −884.008 + 1020.20i −0.179002 + 0.206580i
\(291\) 720.828 1578.39i 0.145209 0.317963i
\(292\) −1490.43 957.844i −0.298702 0.191964i
\(293\) 9509.04 2792.10i 1.89599 0.556712i 0.904504 0.426465i \(-0.140241\pi\)
0.991482 0.130246i \(-0.0415767\pi\)
\(294\) −2465.01 2844.78i −0.488988 0.564323i
\(295\) 4095.25 + 1202.47i 0.808252 + 0.237324i
\(296\) 203.797 + 446.252i 0.0400184 + 0.0876280i
\(297\) 479.541 3335.28i 0.0936895 0.651624i
\(298\) −2147.40 −0.417436
\(299\) −3401.59 8034.64i −0.657923 1.55403i
\(300\) 629.490 0.121145
\(301\) −234.805 + 1633.11i −0.0449633 + 0.312727i
\(302\) −182.051 398.635i −0.0346882 0.0759566i
\(303\) 9112.72 + 2675.74i 1.72776 + 0.507317i
\(304\) 1021.04 + 1178.35i 0.192634 + 0.222312i
\(305\) −2659.42 + 780.876i −0.499272 + 0.146599i
\(306\) −688.685 442.591i −0.128659 0.0826838i
\(307\) −4146.55 + 9079.67i −0.770866 + 1.68796i −0.0461298 + 0.998935i \(0.514689\pi\)
−0.724736 + 0.689026i \(0.758038\pi\)
\(308\) 647.149 746.850i 0.119723 0.138168i
\(309\) −8984.66 + 5774.09i −1.65411 + 1.06303i
\(310\) 36.0384 + 250.653i 0.00660272 + 0.0459229i
\(311\) 1123.83 + 7816.39i 0.204908 + 1.42517i 0.789456 + 0.613807i \(0.210363\pi\)
−0.584548 + 0.811359i \(0.698728\pi\)
\(312\) −3351.05 + 2153.59i −0.608064 + 0.390779i
\(313\) −759.718 + 876.761i −0.137194 + 0.158331i −0.820189 0.572093i \(-0.806132\pi\)
0.682995 + 0.730423i \(0.260677\pi\)
\(314\) −2126.20 + 4655.72i −0.382128 + 0.836744i
\(315\) −352.329 226.428i −0.0630207 0.0405009i
\(316\) 3061.71 898.999i 0.545046 0.160040i
\(317\) −2764.31 3190.19i −0.489777 0.565233i 0.456029 0.889965i \(-0.349271\pi\)
−0.945806 + 0.324732i \(0.894726\pi\)
\(318\) −4682.20 1374.82i −0.825675 0.242440i
\(319\) −2088.29 4572.73i −0.366527 0.802582i
\(320\) −45.5407 + 316.743i −0.00795564 + 0.0553327i
\(321\) −4226.41 −0.734875
\(322\) 927.193 + 1132.41i 0.160467 + 0.195984i
\(323\) −3159.22 −0.544222
\(324\) 518.303 3604.87i 0.0888722 0.618120i
\(325\) 821.481 + 1798.79i 0.140208 + 0.307013i
\(326\) −2449.44 719.221i −0.416141 0.122190i
\(327\) 3406.48 + 3931.28i 0.576081 + 0.664833i
\(328\) −1446.20 + 424.642i −0.243454 + 0.0714845i
\(329\) 948.068 + 609.286i 0.158871 + 0.102100i
\(330\) −973.809 + 2132.34i −0.162444 + 0.355702i
\(331\) 4624.18 5336.59i 0.767879 0.886180i −0.228293 0.973593i \(-0.573314\pi\)
0.996172 + 0.0874125i \(0.0278598\pi\)
\(332\) 998.350 641.600i 0.165035 0.106061i
\(333\) 110.188 + 766.374i 0.0181329 + 0.126117i
\(334\) 746.759 + 5193.82i 0.122338 + 0.850878i
\(335\) −1273.47 + 818.410i −0.207693 + 0.133476i
\(336\) 437.573 504.987i 0.0710464 0.0819919i
\(337\) 3035.05 6645.84i 0.490593 1.07425i −0.488820 0.872384i \(-0.662573\pi\)
0.979413 0.201864i \(-0.0647000\pi\)
\(338\) −6830.61 4389.77i −1.09922 0.706426i
\(339\) −1123.74 + 329.961i −0.180040 + 0.0528644i
\(340\) −424.604 490.019i −0.0677276 0.0781618i
\(341\) −904.814 265.677i −0.143690 0.0421913i
\(342\) 1022.22 + 2238.36i 0.161624 + 0.353908i
\(343\) −606.135 + 4215.76i −0.0954175 + 0.663643i
\(344\) 1989.55 0.311829
\(345\) −2867.11 1957.76i −0.447421 0.305514i
\(346\) 5719.06 0.888609
\(347\) −975.625 + 6785.62i −0.150935 + 1.04977i 0.763723 + 0.645544i \(0.223369\pi\)
−0.914658 + 0.404229i \(0.867540\pi\)
\(348\) −1412.01 3091.87i −0.217505 0.476270i
\(349\) 5251.68 + 1542.03i 0.805489 + 0.236513i 0.658457 0.752619i \(-0.271210\pi\)
0.147033 + 0.989132i \(0.453028\pi\)
\(350\) −217.226 250.692i −0.0331749 0.0382859i
\(351\) 6867.36 2016.44i 1.04431 0.306637i
\(352\) −1002.49 644.260i −0.151798 0.0975545i
\(353\) 93.5831 204.918i 0.0141103 0.0308972i −0.902446 0.430804i \(-0.858230\pi\)
0.916556 + 0.399907i \(0.130957\pi\)
\(354\) −7037.79 + 8122.04i −1.05665 + 1.21944i
\(355\) −969.697 + 623.186i −0.144975 + 0.0931698i
\(356\) −514.335 3577.28i −0.0765721 0.532571i
\(357\) 192.680 + 1340.12i 0.0285651 + 0.198674i
\(358\) −4522.67 + 2906.55i −0.667684 + 0.429094i
\(359\) −2806.97 + 3239.42i −0.412664 + 0.476240i −0.923588 0.383386i \(-0.874758\pi\)
0.510924 + 0.859626i \(0.329303\pi\)
\(360\) −209.798 + 459.393i −0.0307148 + 0.0672560i
\(361\) 2218.55 + 1425.78i 0.323451 + 0.207869i
\(362\) 4273.63 1254.85i 0.620490 0.182192i
\(363\) −229.905 265.325i −0.0332421 0.0383634i
\(364\) 2014.05 + 591.379i 0.290014 + 0.0851557i
\(365\) −919.979 2014.47i −0.131929 0.288883i
\(366\) 993.217 6907.97i 0.141848 0.986573i
\(367\) −851.424 −0.121101 −0.0605504 0.998165i \(-0.519286\pi\)
−0.0605504 + 0.998165i \(0.519286\pi\)
\(368\) 1192.52 1301.02i 0.168925 0.184295i
\(369\) −2378.78 −0.335595
\(370\) −87.2720 + 606.990i −0.0122623 + 0.0852863i
\(371\) 1068.23 + 2339.09i 0.149487 + 0.327331i
\(372\) −611.795 179.639i −0.0852691 0.0250373i
\(373\) 2408.29 + 2779.31i 0.334307 + 0.385811i 0.897869 0.440263i \(-0.145115\pi\)
−0.563562 + 0.826074i \(0.690569\pi\)
\(374\) 2316.75 680.259i 0.320311 0.0940518i
\(375\) 661.951 + 425.410i 0.0911547 + 0.0585816i
\(376\) 564.536 1236.16i 0.0774301 0.169548i
\(377\) 6992.48 8069.76i 0.955255 1.10242i
\(378\) −1010.00 + 649.090i −0.137431 + 0.0883216i
\(379\) 1922.43 + 13370.8i 0.260550 + 1.81217i 0.528722 + 0.848795i \(0.322671\pi\)
−0.268172 + 0.963371i \(0.586420\pi\)
\(380\) 277.367 + 1929.13i 0.0374438 + 0.260427i
\(381\) −12659.9 + 8136.02i −1.70233 + 1.09402i
\(382\) 273.913 316.113i 0.0366875 0.0423396i
\(383\) 2166.05 4742.98i 0.288981 0.632781i −0.708344 0.705867i \(-0.750558\pi\)
0.997326 + 0.0730862i \(0.0232848\pi\)
\(384\) −677.838 435.620i −0.0900801 0.0578910i
\(385\) 1185.24 348.019i 0.156898 0.0460693i
\(386\) 3912.90 + 4515.72i 0.515961 + 0.595451i
\(387\) 3012.77 + 884.628i 0.395730 + 0.116197i
\(388\) 458.039 + 1002.97i 0.0599315 + 0.131232i
\(389\) −1974.16 + 13730.6i −0.257311 + 1.78964i 0.294482 + 0.955657i \(0.404853\pi\)
−0.551793 + 0.833981i \(0.686056\pi\)
\(390\) −4979.26 −0.646499
\(391\) 409.930 + 3552.42i 0.0530205 + 0.459472i
\(392\) 2391.89 0.308186
\(393\) −1904.53 + 13246.3i −0.244455 + 1.70022i
\(394\) 47.8551 + 104.788i 0.00611905 + 0.0133988i
\(395\) 3827.14 + 1123.75i 0.487504 + 0.143144i
\(396\) −1231.60 1421.34i −0.156289 0.180367i
\(397\) −4824.22 + 1416.52i −0.609876 + 0.179076i −0.572064 0.820209i \(-0.693857\pi\)
−0.0378122 + 0.999285i \(0.512039\pi\)
\(398\) −1464.99 941.489i −0.184505 0.118574i
\(399\) 1690.59 3701.88i 0.212119 0.464476i
\(400\) −261.944 + 302.300i −0.0327430 + 0.0377875i
\(401\) 1949.04 1252.57i 0.242720 0.155987i −0.413626 0.910447i \(-0.635738\pi\)
0.656345 + 0.754461i \(0.272101\pi\)
\(402\) −542.452 3772.84i −0.0673011 0.468090i
\(403\) −285.063 1982.66i −0.0352357 0.245070i
\(404\) −5076.96 + 3262.77i −0.625219 + 0.401804i
\(405\) 2981.21 3440.50i 0.365771 0.422123i
\(406\) −744.067 + 1629.28i −0.0909543 + 0.199162i
\(407\) −1921.12 1234.63i −0.233971 0.150364i
\(408\) 1566.48 459.961i 0.190080 0.0558124i
\(409\) 2625.25 + 3029.70i 0.317385 + 0.366282i 0.891916 0.452201i \(-0.149361\pi\)
−0.574531 + 0.818483i \(0.694816\pi\)
\(410\) −1807.75 530.802i −0.217752 0.0639377i
\(411\) −6138.19 13440.8i −0.736678 1.61310i
\(412\) 965.820 6717.42i 0.115492 0.803261i
\(413\) 5663.19 0.674739
\(414\) 2384.31 1439.89i 0.283049 0.170934i
\(415\) 1483.43 0.175466
\(416\) 360.226 2505.43i 0.0424557 0.295286i
\(417\) 6504.48 + 14242.8i 0.763851 + 1.67260i
\(418\) −6963.84 2044.77i −0.814863 0.239265i
\(419\) 597.578 + 689.641i 0.0696744 + 0.0804086i 0.789517 0.613729i \(-0.210331\pi\)
−0.719842 + 0.694138i \(0.755786\pi\)
\(420\) 801.408 235.315i 0.0931065 0.0273385i
\(421\) 12919.1 + 8302.57i 1.49557 + 0.961146i 0.995459 + 0.0951864i \(0.0303447\pi\)
0.500113 + 0.865960i \(0.333292\pi\)
\(422\) −7.34236 + 16.0775i −0.000846968 + 0.00185460i
\(423\) 1404.52 1620.90i 0.161442 0.186314i
\(424\) 2608.59 1676.44i 0.298784 0.192017i
\(425\) −115.344 802.236i −0.0131647 0.0915627i
\(426\) −413.055 2872.86i −0.0469779 0.326739i
\(427\) −3093.82 + 1988.28i −0.350633 + 0.225338i
\(428\) 1758.70 2029.64i 0.198621 0.229221i
\(429\) 7702.81 16866.8i 0.866888 1.89822i
\(430\) 2092.14 + 1344.54i 0.234633 + 0.150789i
\(431\) −7250.14 + 2128.83i −0.810271 + 0.237917i −0.660522 0.750807i \(-0.729665\pi\)
−0.149750 + 0.988724i \(0.547847\pi\)
\(432\) 948.073 + 1094.13i 0.105588 + 0.121855i
\(433\) −3170.96 931.079i −0.351932 0.103337i 0.100988 0.994888i \(-0.467800\pi\)
−0.452920 + 0.891551i \(0.649618\pi\)
\(434\) 139.579 + 305.636i 0.0154378 + 0.0338041i
\(435\) 604.667 4205.55i 0.0666473 0.463542i
\(436\) −3305.43 −0.363076
\(437\) 4736.43 9649.17i 0.518477 1.05625i
\(438\) 5576.28 0.608322
\(439\) 1510.11 10503.0i 0.164177 1.14187i −0.726477 0.687191i \(-0.758844\pi\)
0.890654 0.454682i \(-0.150247\pi\)
\(440\) −618.792 1354.97i −0.0670449 0.146808i
\(441\) 3622.03 + 1063.52i 0.391106 + 0.114839i
\(442\) 3358.61 + 3876.04i 0.361432 + 0.417114i
\(443\) −4514.08 + 1325.45i −0.484132 + 0.142154i −0.514685 0.857379i \(-0.672091\pi\)
0.0305533 + 0.999533i \(0.490273\pi\)
\(444\) −1298.97 834.800i −0.138844 0.0892295i
\(445\) 1876.67 4109.33i 0.199916 0.437755i
\(446\) 8021.25 9257.02i 0.851608 0.982808i
\(447\) 5685.91 3654.11i 0.601642 0.386652i
\(448\) 60.4259 + 420.271i 0.00637245 + 0.0443213i
\(449\) −1469.61 10221.3i −0.154466 1.07433i −0.908617 0.417631i \(-0.862861\pi\)
0.754151 0.656701i \(-0.228048\pi\)
\(450\) −531.075 + 341.301i −0.0556336 + 0.0357535i
\(451\) 4594.59 5302.44i 0.479714 0.553619i
\(452\) 309.157 676.959i 0.0321715 0.0704458i
\(453\) 1160.37 + 745.724i 0.120351 + 0.0773447i
\(454\) −4870.07 + 1429.98i −0.503444 + 0.147825i
\(455\) 1718.25 + 1982.97i 0.177040 + 0.204315i
\(456\) −4708.64 1382.58i −0.483558 0.141985i
\(457\) −4327.09 9475.01i −0.442917 0.969852i −0.991054 0.133463i \(-0.957390\pi\)
0.548137 0.836388i \(-0.315337\pi\)
\(458\) 847.238 5892.67i 0.0864385 0.601193i
\(459\) −2933.44 −0.298304
\(460\) 2133.24 562.206i 0.216224 0.0569848i
\(461\) −4174.43 −0.421741 −0.210870 0.977514i \(-0.567630\pi\)
−0.210870 + 0.977514i \(0.567630\pi\)
\(462\) −442.654 + 3078.73i −0.0445761 + 0.310033i
\(463\) 1297.77 + 2841.72i 0.130264 + 0.285239i 0.963514 0.267658i \(-0.0862496\pi\)
−0.833250 + 0.552897i \(0.813522\pi\)
\(464\) 2072.38 + 608.505i 0.207344 + 0.0608817i
\(465\) −521.943 602.354i −0.0520528 0.0600721i
\(466\) −1950.18 + 572.626i −0.193864 + 0.0569235i
\(467\) 1610.00 + 1034.68i 0.159533 + 0.102525i 0.617971 0.786201i \(-0.287955\pi\)
−0.458439 + 0.888726i \(0.651591\pi\)
\(468\) 1659.50 3633.79i 0.163911 0.358915i
\(469\) −1315.33 + 1517.97i −0.129502 + 0.149453i
\(470\) 1429.05 918.393i 0.140249 0.0901325i
\(471\) −2292.61 15945.5i −0.224284 1.55993i
\(472\) −971.870 6759.51i −0.0947753 0.659177i
\(473\) −7791.02 + 5006.98i −0.757360 + 0.486726i
\(474\) −6577.03 + 7590.30i −0.637327 + 0.735515i
\(475\) −1012.04 + 2216.06i −0.0977590 + 0.214062i
\(476\) −723.744 465.122i −0.0696907 0.0447875i
\(477\) 4695.58 1378.75i 0.450725 0.132345i
\(478\) −7349.53 8481.81i −0.703263 0.811608i
\(479\) −397.258 116.645i −0.0378939 0.0111267i 0.262731 0.964869i \(-0.415377\pi\)
−0.300625 + 0.953743i \(0.597195\pi\)
\(480\) −418.400 916.167i −0.0397859 0.0871190i
\(481\) 690.320 4801.28i 0.0654384 0.455134i
\(482\) −1694.06 −0.160088
\(483\) −4381.99 1420.66i −0.412810 0.133835i
\(484\) 223.085 0.0209509
\(485\) −196.147 + 1364.23i −0.0183640 + 0.127725i
\(486\) 2732.06 + 5982.37i 0.254997 + 0.558366i
\(487\) 11818.7 + 3470.27i 1.09970 + 0.322901i 0.780733 0.624864i \(-0.214846\pi\)
0.318968 + 0.947766i \(0.396664\pi\)
\(488\) 2904.11 + 3351.53i 0.269392 + 0.310894i
\(489\) 7709.50 2263.71i 0.712957 0.209343i
\(490\) 2515.23 + 1616.44i 0.231891 + 0.149027i
\(491\) −8208.08 + 17973.2i −0.754430 + 1.65197i 0.00380674 + 0.999993i \(0.498788\pi\)
−0.758237 + 0.651979i \(0.773939\pi\)
\(492\) 3106.66 3585.28i 0.284673 0.328530i
\(493\) −3681.62 + 2366.03i −0.336332 + 0.216148i
\(494\) −2193.97 15259.4i −0.199821 1.38978i
\(495\) −334.566 2326.96i −0.0303790 0.211291i
\(496\) 340.849 219.050i 0.0308560 0.0198299i
\(497\) −1001.57 + 1155.87i −0.0903954 + 0.104322i
\(498\) −1551.66 + 3397.67i −0.139622 + 0.305729i
\(499\) 4771.06 + 3066.17i 0.428020 + 0.275072i 0.736864 0.676041i \(-0.236306\pi\)
−0.308844 + 0.951113i \(0.599942\pi\)
\(500\) −479.746 + 140.866i −0.0429098 + 0.0125995i
\(501\) −10815.3 12481.5i −0.964454 1.11304i
\(502\) 3930.41 + 1154.07i 0.349448 + 0.102607i
\(503\) 4927.24 + 10789.2i 0.436769 + 0.956391i 0.992180 + 0.124815i \(0.0398338\pi\)
−0.555411 + 0.831576i \(0.687439\pi\)
\(504\) −95.3657 + 663.283i −0.00842842 + 0.0586210i
\(505\) −7543.75 −0.664738
\(506\) −1395.66 + 8095.90i −0.122618 + 0.711278i
\(507\) 25555.9 2.23862
\(508\) 1360.89 9465.23i 0.118858 0.826677i
\(509\) −8639.25 18917.3i −0.752314 1.64734i −0.762162 0.647386i \(-0.775862\pi\)
0.00984782 0.999952i \(-0.496865\pi\)
\(510\) 1958.10 + 574.951i 0.170012 + 0.0499201i
\(511\) −1924.28 2220.74i −0.166585 0.192250i
\(512\) 491.260 144.247i 0.0424040 0.0124509i
\(513\) 7417.79 + 4767.12i 0.638408 + 0.410280i
\(514\) −554.497 + 1214.18i −0.0475833 + 0.104193i
\(515\) 5555.26 6411.12i 0.475329 0.548558i
\(516\) −5267.94 + 3385.50i −0.449434 + 0.288834i
\(517\) 900.269 + 6261.51i 0.0765837 + 0.532651i
\(518\) 115.797 + 805.387i 0.00982208 + 0.0683141i
\(519\) −15143.0 + 9731.79i −1.28074 + 0.823080i
\(520\) 2071.97 2391.19i 0.174735 0.201655i
\(521\) 4914.54 10761.3i 0.413262 0.904919i −0.582489 0.812839i \(-0.697921\pi\)
0.995752 0.0920801i \(-0.0293516\pi\)
\(522\) 2867.63 + 1842.91i 0.240446 + 0.154525i
\(523\) −20425.2 + 5997.38i −1.70771 + 0.501428i −0.982367 0.186961i \(-0.940136\pi\)
−0.725341 + 0.688390i \(0.758318\pi\)
\(524\) −5568.74 6426.67i −0.464259 0.535783i
\(525\) 1001.76 + 294.143i 0.0832770 + 0.0244523i
\(526\) −365.232 799.747i −0.0302754 0.0662940i
\(527\) −116.834 + 812.601i −0.00965727 + 0.0671678i
\(528\) 3750.69 0.309144
\(529\) −11464.7 4073.89i −0.942278 0.334831i
\(530\) 3876.05 0.317669
\(531\) 1533.83 10668.0i 0.125353 0.871850i
\(532\) 1074.26 + 2352.30i 0.0875473 + 0.191702i
\(533\) 14299.2 + 4198.64i 1.16204 + 0.341207i
\(534\) 7449.09 + 8596.71i 0.603659 + 0.696659i
\(535\) 3221.02 945.778i 0.260293 0.0764291i
\(536\) 2037.55 + 1309.46i 0.164196 + 0.105522i
\(537\) 7029.26 15391.9i 0.564869 1.23689i
\(538\) −384.259 + 443.458i −0.0307929 + 0.0355369i
\(539\) −9366.58 + 6019.53i −0.748510 + 0.481038i
\(540\) 257.545 + 1791.26i 0.0205240 + 0.142748i
\(541\) 2215.02 + 15405.8i 0.176028 + 1.22430i 0.865842 + 0.500317i \(0.166783\pi\)
−0.689814 + 0.723987i \(0.742308\pi\)
\(542\) 8606.54 5531.09i 0.682071 0.438340i
\(543\) −9180.44 + 10594.8i −0.725544 + 0.837322i
\(544\) −430.960 + 943.671i −0.0339656 + 0.0743742i
\(545\) −3475.88 2233.81i −0.273193 0.175571i
\(546\) −6339.13 + 1861.34i −0.496867 + 0.145893i
\(547\) 7112.77 + 8208.57i 0.555978 + 0.641633i 0.962265 0.272113i \(-0.0877223\pi\)
−0.406287 + 0.913745i \(0.633177\pi\)
\(548\) 9008.88 + 2645.25i 0.702263 + 0.206203i
\(549\) 2907.47 + 6366.48i 0.226025 + 0.494927i
\(550\) 264.986 1843.02i 0.0205437 0.142885i
\(551\) 13154.7 1.01708
\(552\) −943.683 + 5474.08i −0.0727641 + 0.422088i
\(553\) 5292.43 0.406975
\(554\) −298.009 + 2072.70i −0.0228542 + 0.158954i
\(555\) −801.800 1755.70i −0.0613234 0.134280i
\(556\) −9546.48 2803.10i −0.728167 0.213809i
\(557\) 7558.15 + 8722.57i 0.574953 + 0.663532i 0.966512 0.256622i \(-0.0826094\pi\)
−0.391559 + 0.920153i \(0.628064\pi\)
\(558\) 613.544 180.153i 0.0465473 0.0136675i
\(559\) −16548.8 10635.3i −1.25213 0.804695i
\(560\) −220.478 + 482.779i −0.0166373 + 0.0364306i
\(561\) −4976.75 + 5743.47i −0.374543 + 0.432245i
\(562\) −14657.3 + 9419.68i −1.10014 + 0.707020i
\(563\) −1336.90 9298.36i −0.100078 0.696055i −0.976658 0.214800i \(-0.931090\pi\)
0.876581 0.481255i \(-0.159819\pi\)
\(564\) 608.722 + 4233.75i 0.0454465 + 0.316087i
\(565\) 782.589 502.939i 0.0582722 0.0374492i
\(566\) −538.807 + 621.816i −0.0400137 + 0.0461783i
\(567\) 2509.28 5494.55i 0.185855 0.406965i
\(568\) 1551.51 + 997.098i 0.114613 + 0.0736572i
\(569\) 19392.2 5694.08i 1.42876 0.419522i 0.526302 0.850297i \(-0.323578\pi\)
0.902459 + 0.430775i \(0.141760\pi\)
\(570\) −4017.10 4635.98i −0.295189 0.340667i
\(571\) −7277.77 2136.94i −0.533389 0.156617i 0.00393637 0.999992i \(-0.498747\pi\)
−0.537325 + 0.843375i \(0.680565\pi\)
\(572\) 4894.63 + 10717.7i 0.357788 + 0.783447i
\(573\) −187.359 + 1303.11i −0.0136597 + 0.0950054i
\(574\) −2499.88 −0.181782
\(575\) 2623.19 + 850.450i 0.190251 + 0.0616804i
\(576\) 808.051 0.0584528
\(577\) −110.651 + 769.592i −0.00798344 + 0.0555261i −0.993424 0.114496i \(-0.963475\pi\)
0.985440 + 0.170022i \(0.0543838\pi\)
\(578\) 3208.65 + 7025.96i 0.230904 + 0.505608i
\(579\) −18044.7 5298.41i −1.29519 0.380301i
\(580\) 1768.02 + 2040.40i 0.126574 + 0.146074i
\(581\) 1888.56 554.531i 0.134855 0.0395970i
\(582\) −2919.49 1876.24i −0.207932 0.133630i
\(583\) −5996.16 + 13129.8i −0.425962 + 0.932726i
\(584\) −2320.41 + 2677.90i −0.164417 + 0.189747i
\(585\) 4200.79 2699.69i 0.296891 0.190800i
\(586\) −2820.82 19619.2i −0.198851 1.38304i
\(587\) 388.977 + 2705.39i 0.0273506 + 0.190228i 0.998916 0.0465425i \(-0.0148203\pi\)
−0.971566 + 0.236770i \(0.923911\pi\)
\(588\) −6333.26 + 4070.14i −0.444183 + 0.285459i
\(589\) 1615.99 1864.95i 0.113049 0.130465i
\(590\) 3546.09 7764.86i 0.247441 0.541821i
\(591\) −305.022 196.026i −0.0212300 0.0136437i
\(592\) 941.427 276.428i 0.0653588 0.0191911i
\(593\) −15227.9 17573.9i −1.05453 1.21699i −0.975473 0.220117i \(-0.929356\pi\)
−0.0790521 0.996870i \(-0.525189\pi\)
\(594\) −6466.17 1898.64i −0.446650 0.131148i
\(595\) −446.735 978.214i −0.0307804 0.0673998i
\(596\) −611.215 + 4251.09i −0.0420073 + 0.292167i
\(597\) 5481.07 0.375754
\(598\) −16873.9 + 4447.04i −1.15389 + 0.304102i
\(599\) −16411.2 −1.11943 −0.559717 0.828684i \(-0.689090\pi\)
−0.559717 + 0.828684i \(0.689090\pi\)
\(600\) 179.172 1246.17i 0.0121911 0.0847908i
\(601\) 11175.5 + 24471.0i 0.758501 + 1.66089i 0.750458 + 0.660918i \(0.229833\pi\)
0.00804260 + 0.999968i \(0.497440\pi\)
\(602\) 3166.14 + 929.662i 0.214356 + 0.0629405i
\(603\) 2503.23 + 2888.88i 0.169053 + 0.195098i
\(604\) −840.973 + 246.932i −0.0566535 + 0.0166350i
\(605\) 234.589 + 150.761i 0.0157643 + 0.0101311i
\(606\) 7890.75 17278.3i 0.528944 1.15823i
\(607\) −5040.13 + 5816.62i −0.337022 + 0.388944i −0.898811 0.438336i \(-0.855568\pi\)
0.561789 + 0.827281i \(0.310113\pi\)
\(608\) 2623.32 1685.91i 0.174983 0.112455i
\(609\) −802.305 5580.15i −0.0533843 0.371296i
\(610\) 788.906 + 5486.96i 0.0523637 + 0.364197i
\(611\) −11303.7 + 7264.47i −0.748445 + 0.480997i
\(612\) −1072.19 + 1237.38i −0.0708183 + 0.0817287i
\(613\) 10794.2 23636.0i 0.711212 1.55734i −0.114614 0.993410i \(-0.536563\pi\)
0.825825 0.563926i \(-0.190710\pi\)
\(614\) 16794.3 + 10793.0i 1.10385 + 0.709399i
\(615\) 5689.79 1670.67i 0.373064 0.109542i
\(616\) −1294.30 1493.70i −0.0846571 0.0976995i
\(617\) −12743.1 3741.70i −0.831469 0.244141i −0.161821 0.986820i \(-0.551737\pi\)
−0.669648 + 0.742679i \(0.733555\pi\)
\(618\) 8873.34 + 19429.9i 0.577570 + 1.26470i
\(619\) 1909.89 13283.5i 0.124014 0.862537i −0.828922 0.559365i \(-0.811045\pi\)
0.952936 0.303173i \(-0.0980459\pi\)
\(620\) 506.460 0.0328063
\(621\) 4397.94 8959.58i 0.284192 0.578962i
\(622\) 15793.5 1.01811
\(623\) 853.058 5933.15i 0.0548588 0.381552i
\(624\) 3309.53 + 7246.87i 0.212319 + 0.464915i
\(625\) −599.683 176.083i −0.0383797 0.0112693i
\(626\) 1519.44 + 1753.52i 0.0970109 + 0.111957i
\(627\) 21918.4 6435.81i 1.39607 0.409923i
\(628\) 8611.48 + 5534.27i 0.547191 + 0.351658i
\(629\) −825.871 + 1808.40i −0.0523523 + 0.114636i
\(630\) −548.531 + 633.038i −0.0346889 + 0.0400331i
\(631\) 932.589 599.339i 0.0588364 0.0378119i −0.510892 0.859645i \(-0.670685\pi\)
0.569728 + 0.821833i \(0.307048\pi\)
\(632\) −908.243 6316.97i −0.0571645 0.397588i
\(633\) −7.91704 55.0642i −0.000497116 0.00345751i
\(634\) −7102.24 + 4564.33i −0.444899 + 0.285919i
\(635\) 7827.68 9033.63i 0.489185 0.564549i
\(636\) −4054.34 + 8877.77i −0.252775 + 0.553500i
\(637\) −19895.5 12786.0i −1.23750 0.795292i
\(638\) −9646.76 + 2832.54i −0.598619 + 0.175770i
\(639\) 1906.11 + 2199.76i 0.118004 + 0.136184i
\(640\) 614.076 + 180.309i 0.0379273 + 0.0111365i
\(641\) 6804.92 + 14900.7i 0.419311 + 0.918163i 0.994942 + 0.100453i \(0.0320292\pi\)
−0.575631 + 0.817710i \(0.695244\pi\)
\(642\) −1202.96 + 8366.77i −0.0739518 + 0.514346i
\(643\) −19601.9 −1.20222 −0.601108 0.799168i \(-0.705274\pi\)
−0.601108 + 0.799168i \(0.705274\pi\)
\(644\) 2505.68 1513.19i 0.153319 0.0925903i
\(645\) −7827.51 −0.477842
\(646\) −899.208 + 6254.13i −0.0547660 + 0.380906i
\(647\) 3779.16 + 8275.21i 0.229635 + 0.502831i 0.989015 0.147817i \(-0.0472246\pi\)
−0.759379 + 0.650648i \(0.774497\pi\)
\(648\) −6988.84 2052.11i −0.423684 0.124405i
\(649\) 20817.1 + 24024.2i 1.25908 + 1.45305i
\(650\) 3794.79 1114.25i 0.228990 0.0672376i
\(651\) −889.660 571.750i −0.0535615 0.0344219i
\(652\) −2120.99 + 4644.31i −0.127399 + 0.278965i
\(653\) −5041.94 + 5818.71i −0.302154 + 0.348704i −0.886440 0.462844i \(-0.846829\pi\)
0.584286 + 0.811548i \(0.301375\pi\)
\(654\) 8752.12 5624.65i 0.523295 0.336301i
\(655\) −1512.75 10521.4i −0.0902416 0.627644i
\(656\) 429.008 + 2983.82i 0.0255335 + 0.177589i
\(657\) −4704.48 + 3023.38i −0.279360 + 0.179533i
\(658\) 1476.02 1703.42i 0.0874486 0.100921i
\(659\) 3713.49 8131.40i 0.219510 0.480659i −0.767555 0.640983i \(-0.778527\pi\)
0.987064 + 0.160324i \(0.0512540\pi\)
\(660\) 3944.10 + 2534.72i 0.232612 + 0.149491i
\(661\) −16258.2 + 4773.85i −0.956690 + 0.280909i −0.722570 0.691298i \(-0.757039\pi\)
−0.234120 + 0.972208i \(0.575221\pi\)
\(662\) −9248.37 10673.2i −0.542973 0.626624i
\(663\) −15488.6 4547.85i −0.907279 0.266401i
\(664\) −985.980 2158.99i −0.0576257 0.126183i
\(665\) −460.032 + 3199.59i −0.0268260 + 0.186579i
\(666\) 1548.51 0.0900953
\(667\) −1706.91 14792.0i −0.0990883 0.858692i
\(668\) 10494.5 0.607849
\(669\) −5486.59 + 38160.1i −0.317076 + 2.20531i
\(670\) 1257.69 + 2753.96i 0.0725208 + 0.158798i
\(671\) −19807.0 5815.86i −1.13955 0.334604i
\(672\) −875.147 1009.97i −0.0502374 0.0579770i
\(673\) −11020.0 + 3235.75i −0.631186 + 0.185333i −0.581650 0.813439i \(-0.697592\pi\)
−0.0495362 + 0.998772i \(0.515774\pi\)
\(674\) −12292.5 7899.92i −0.702508 0.451474i
\(675\) −939.712 + 2057.68i −0.0535845 + 0.117334i
\(676\) −10634.4 + 12272.7i −0.605050 + 0.698265i
\(677\) −27368.5 + 17588.7i −1.55370 + 0.998505i −0.569393 + 0.822066i \(0.692822\pi\)
−0.984311 + 0.176439i \(0.943542\pi\)
\(678\) 333.354 + 2318.53i 0.0188826 + 0.131331i
\(679\) 260.258 + 1810.13i 0.0147095 + 0.102307i
\(680\) −1090.92 + 701.090i −0.0615217 + 0.0395376i
\(681\) 10461.7 12073.4i 0.588682 0.679375i
\(682\) −783.483 + 1715.59i −0.0439899 + 0.0963245i
\(683\) 14042.0 + 9024.21i 0.786677 + 0.505567i 0.871243 0.490851i \(-0.163314\pi\)
−0.0845664 + 0.996418i \(0.526951\pi\)
\(684\) 4722.10 1386.53i 0.263968 0.0775080i
\(685\) 7685.78 + 8869.86i 0.428699 + 0.494745i
\(686\) 8173.17 + 2399.86i 0.454888 + 0.133567i
\(687\) 7783.88 + 17044.3i 0.432276 + 0.946553i
\(688\) 566.285 3938.60i 0.0313800 0.218252i
\(689\) −30659.5 −1.69526
\(690\) −4691.74 + 5118.62i −0.258857 + 0.282410i
\(691\) −11826.0 −0.651062 −0.325531 0.945531i \(-0.605543\pi\)
−0.325531 + 0.945531i \(0.605543\pi\)
\(692\) 1627.82 11321.7i 0.0894223 0.621946i
\(693\) −1295.80 2837.40i −0.0710291 0.155532i
\(694\) 13155.4 + 3862.78i 0.719557 + 0.211281i
\(695\) −8144.42 9399.16i −0.444512 0.512994i
\(696\) −6522.71 + 1915.24i −0.355234 + 0.104306i
\(697\) −5138.40 3302.25i −0.279241 0.179457i
\(698\) 4547.45 9957.53i 0.246595 0.539969i
\(699\) 4189.30 4834.71i 0.226687 0.261610i
\(700\) −558.110 + 358.676i −0.0301351 + 0.0193667i
\(701\) 2836.37 + 19727.4i 0.152822 + 1.06290i 0.911460 + 0.411388i \(0.134956\pi\)
−0.758638 + 0.651512i \(0.774135\pi\)
\(702\) −2037.18 14168.9i −0.109527 0.761780i
\(703\) 5027.21 3230.79i 0.269708 0.173331i
\(704\) −1560.74 + 1801.19i −0.0835550 + 0.0964276i
\(705\) −2221.06 + 4863.45i −0.118653 + 0.259813i
\(706\) −379.029 243.587i −0.0202053 0.0129852i
\(707\) −9604.00 + 2819.99i −0.510885 + 0.150009i
\(708\) 14075.6 + 16244.1i 0.747164 + 0.862274i
\(709\) 14325.0 + 4206.19i 0.758795 + 0.222802i 0.638170 0.769896i \(-0.279692\pi\)
0.120625 + 0.992698i \(0.461510\pi\)
\(710\) 957.682 + 2097.03i 0.0506214 + 0.110845i
\(711\) 1433.41 9969.60i 0.0756078 0.525864i
\(712\) −7228.12 −0.380457
\(713\) −2306.75 1575.13i −0.121162 0.0827336i
\(714\) 2707.80 0.141929
\(715\) −2096.03 + 14578.2i −0.109632 + 0.762510i
\(716\) 4466.64 + 9780.57i 0.233137 + 0.510499i
\(717\) 33893.1 + 9951.91i 1.76536 + 0.518355i
\(718\) 5613.95 + 6478.84i 0.291798 + 0.336752i
\(719\) −19805.0 + 5815.27i −1.02726 + 0.301631i −0.751597 0.659623i \(-0.770716\pi\)
−0.275665 + 0.961254i \(0.588898\pi\)
\(720\) 849.720 + 546.082i 0.0439822 + 0.0282656i
\(721\) 4675.86 10238.7i 0.241523 0.528861i
\(722\) 3453.99 3986.12i 0.178039 0.205468i
\(723\) 4485.55 2882.69i 0.230732 0.148283i
\(724\) −1267.76 8817.44i −0.0650771 0.452621i
\(725\) 480.283 + 3340.44i 0.0246031 + 0.171118i
\(726\) −590.686 + 379.611i −0.0301961 + 0.0194059i
\(727\) 25048.3 28907.3i 1.27784 1.47471i 0.473186 0.880963i \(-0.343104\pi\)
0.804654 0.593744i \(-0.202351\pi\)
\(728\) 1743.98 3818.78i 0.0887858 0.194414i
\(729\) 3266.84 + 2099.47i 0.165973 + 0.106664i
\(730\) −4249.79 + 1247.85i −0.215468 + 0.0632672i
\(731\) 5279.82 + 6093.23i 0.267142 + 0.308299i
\(732\) −13392.6 3932.43i −0.676237 0.198561i
\(733\) 6138.16 + 13440.7i 0.309302 + 0.677277i 0.998899 0.0469168i \(-0.0149396\pi\)
−0.689597 + 0.724193i \(0.742212\pi\)
\(734\) −242.341 + 1685.52i −0.0121866 + 0.0847596i
\(735\) −9410.45 −0.472258
\(736\) −2236.13 2731.07i −0.111990 0.136778i
\(737\) −11274.4 −0.563500
\(738\) −677.072 + 4709.14i −0.0337715 + 0.234886i
\(739\) 11453.6 + 25080.0i 0.570133 + 1.24842i 0.946726 + 0.322039i \(0.104368\pi\)
−0.376593 + 0.926379i \(0.622904\pi\)
\(740\) 1176.78 + 345.535i 0.0584587 + 0.0171650i
\(741\) 31775.2 + 36670.5i 1.57529 + 1.81798i
\(742\) 4934.62 1448.94i 0.244145 0.0716875i
\(743\) −21553.3 13851.5i −1.06422 0.683931i −0.113358 0.993554i \(-0.536161\pi\)
−0.950859 + 0.309623i \(0.899797\pi\)
\(744\) −529.757 + 1160.01i −0.0261046 + 0.0571611i
\(745\) −3515.63 + 4057.25i −0.172889 + 0.199525i
\(746\) 6187.52 3976.48i 0.303674 0.195160i
\(747\) −533.095 3707.76i −0.0261110 0.181606i
\(748\) −687.255 4779.96i −0.0335943 0.233653i
\(749\) 3747.16 2408.15i 0.182801 0.117479i
\(750\) 1030.57 1189.34i 0.0501748 0.0579049i
\(751\) 14429.2 31595.6i 0.701105 1.53521i −0.137521 0.990499i \(-0.543913\pi\)
0.838626 0.544707i \(-0.183359\pi\)
\(752\) −2286.47 1469.43i −0.110877 0.0712560i
\(753\) −12370.8 + 3632.39i −0.598694 + 0.175792i
\(754\) −13985.0 16139.5i −0.675467 0.779531i
\(755\) −1051.22 308.665i −0.0506724 0.0148788i
\(756\) 997.489 + 2184.20i 0.0479872 + 0.105077i
\(757\) 3484.79 24237.2i 0.167314 1.16369i −0.717093 0.696978i \(-0.754528\pi\)
0.884407 0.466717i \(-0.154563\pi\)
\(758\) 27016.5 1.29457
\(759\) −10080.9 23811.3i −0.482098 1.13873i
\(760\) 3897.94 0.186043
\(761\) 592.434 4120.47i 0.0282204 0.196277i −0.970834 0.239752i \(-0.922934\pi\)
0.999055 + 0.0434751i \(0.0138429\pi\)
\(762\) 12503.0 + 27377.8i 0.594406 + 1.30157i
\(763\) −5260.20 1544.53i −0.249583 0.0732843i
\(764\) −547.827 632.226i −0.0259420 0.0299387i
\(765\) −1963.70 + 576.595i −0.0928076 + 0.0272508i
\(766\) −8772.89 5638.00i −0.413809 0.265939i
\(767\) −28049.5 + 61419.9i −1.32048 + 2.89145i
\(768\) −1055.30 + 1217.89i −0.0495834 + 0.0572223i
\(769\) 16852.9 10830.7i 0.790288 0.507887i −0.0821455 0.996620i \(-0.526177\pi\)
0.872433 + 0.488733i \(0.162541\pi\)
\(770\) −351.597 2445.41i −0.0164554 0.114450i
\(771\) −597.897 4158.47i −0.0279283 0.194246i