Properties

Label 43.4.g.a.9.6
Level 43
Weight 4
Character 43.9
Analytic conductor 2.537
Analytic rank 0
Dimension 120
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.53708213025\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(10\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 9.6
Character \(\chi\) \(=\) 43.9
Dual form 43.4.g.a.24.6

$q$-expansion

\(f(q)\) \(=\) \(q+(0.277412 + 0.347863i) q^{2} +(-3.67378 - 0.553733i) q^{3} +(1.73612 - 7.60642i) q^{4} +(14.5525 + 9.92173i) q^{5} +(-0.826526 - 1.43158i) q^{6} +(18.2723 - 31.6486i) q^{7} +(6.33459 - 3.05058i) q^{8} +(-12.6104 - 3.88980i) q^{9} +O(q^{10})\) \(q+(0.277412 + 0.347863i) q^{2} +(-3.67378 - 0.553733i) q^{3} +(1.73612 - 7.60642i) q^{4} +(14.5525 + 9.92173i) q^{5} +(-0.826526 - 1.43158i) q^{6} +(18.2723 - 31.6486i) q^{7} +(6.33459 - 3.05058i) q^{8} +(-12.6104 - 3.88980i) q^{9} +(0.585630 + 7.81469i) q^{10} +(9.82948 + 43.0658i) q^{11} +(-10.5900 + 26.9830i) q^{12} +(-0.115920 + 1.54685i) q^{13} +(16.0783 - 2.42342i) q^{14} +(-47.9687 - 44.5085i) q^{15} +(-53.4166 - 25.7241i) q^{16} +(-63.2410 + 43.1170i) q^{17} +(-2.14516 - 5.46578i) q^{18} +(55.5137 - 17.1237i) q^{19} +(100.734 - 93.4672i) q^{20} +(-84.6533 + 106.152i) q^{21} +(-12.2542 + 15.3663i) q^{22} +(-25.4025 + 23.5700i) q^{23} +(-24.9611 + 7.69947i) q^{24} +(67.6672 + 172.413i) q^{25} +(-0.570249 + 0.388789i) q^{26} +(134.552 + 64.7970i) q^{27} +(-209.010 - 193.933i) q^{28} +(-117.436 + 17.7007i) q^{29} +(2.17578 - 29.0337i) q^{30} +(-14.0891 + 35.8985i) q^{31} +(-18.3860 - 80.5545i) q^{32} +(-12.2644 - 163.657i) q^{33} +(-32.5426 - 10.0381i) q^{34} +(579.917 - 279.273i) q^{35} +(-51.4806 + 89.1671i) q^{36} +(149.900 + 259.635i) q^{37} +(21.3568 + 14.5608i) q^{38} +(1.28241 - 5.61859i) q^{39} +(122.451 + 18.4565i) q^{40} +(-83.7405 - 105.007i) q^{41} -60.4102 q^{42} +(-123.412 + 253.528i) q^{43} +344.641 q^{44} +(-144.920 - 181.724i) q^{45} +(-15.2461 - 2.29798i) q^{46} +(-14.7119 + 64.4571i) q^{47} +(181.997 + 124.083i) q^{48} +(-496.255 - 859.539i) q^{49} +(-41.2045 + 71.3683i) q^{50} +(256.209 - 123.384i) q^{51} +(11.5647 + 3.56725i) q^{52} +(26.5433 + 354.196i) q^{53} +(14.7859 + 64.7813i) q^{54} +(-284.244 + 724.241i) q^{55} +(19.2012 - 256.222i) q^{56} +(-213.427 + 32.1689i) q^{57} +(-38.7357 - 35.9414i) q^{58} +(-51.9241 - 25.0053i) q^{59} +(-421.829 + 287.598i) q^{60} +(-84.4048 - 215.060i) q^{61} +(-16.3962 + 5.05757i) q^{62} +(-353.528 + 328.026i) q^{63} +(-272.802 + 342.083i) q^{64} +(-17.0343 + 21.3604i) q^{65} +(53.5280 - 49.6667i) q^{66} +(634.912 - 195.844i) q^{67} +(218.172 + 555.893i) q^{68} +(106.375 - 72.5249i) q^{69} +(258.025 + 124.258i) q^{70} +(-475.157 - 440.881i) q^{71} +(-91.7480 + 13.8288i) q^{72} +(3.96799 - 52.9492i) q^{73} +(-48.7333 + 124.171i) q^{74} +(-153.123 - 670.877i) q^{75} +(-33.8719 - 451.989i) q^{76} +(1542.58 + 475.822i) q^{77} +(2.31026 - 1.11256i) q^{78} +(165.297 - 286.302i) q^{79} +(-522.119 - 904.336i) q^{80} +(-164.037 - 111.839i) q^{81} +(13.2976 - 58.2605i) q^{82} +(-707.592 - 106.652i) q^{83} +(660.468 + 828.201i) q^{84} -1348.11 q^{85} +(-122.429 + 27.4009i) q^{86} +441.237 q^{87} +(193.641 + 242.818i) q^{88} +(837.049 + 126.165i) q^{89} +(23.0126 - 100.825i) q^{90} +(46.8374 + 31.9332i) q^{91} +(135.182 + 234.142i) q^{92} +(71.6385 - 124.081i) q^{93} +(-26.5035 + 12.7634i) q^{94} +(977.760 + 301.599i) q^{95} +(22.9406 + 306.120i) q^{96} +(95.8582 + 419.982i) q^{97} +(161.335 - 411.075i) q^{98} +(43.5634 - 581.313i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120q - 12q^{2} - 9q^{3} - 92q^{4} + 5q^{5} - 22q^{6} - 54q^{7} + 2q^{8} + 201q^{9} + O(q^{10}) \) \( 120q - 12q^{2} - 9q^{3} - 92q^{4} + 5q^{5} - 22q^{6} - 54q^{7} + 2q^{8} + 201q^{9} - 41q^{10} - 68q^{11} + 114q^{12} - 167q^{13} + 254q^{14} - 163q^{15} - 344q^{16} + 68q^{17} - 72q^{18} - 407q^{19} + 621q^{20} + 193q^{21} - 520q^{22} - 219q^{23} + 1072q^{24} - 87q^{25} - 133q^{26} + 180q^{27} + 1228q^{28} - 17q^{29} - 1796q^{30} - 953q^{31} - 2730q^{32} + 473q^{33} - 1043q^{34} - 241q^{35} - 175q^{36} - 228q^{37} + 1512q^{38} + 1250q^{39} + 2673q^{40} - 236q^{41} + 5286q^{42} + 1789q^{43} - 2756q^{44} + 856q^{45} + 4331q^{46} + 962q^{47} + 5243q^{48} - 1264q^{49} - 3273q^{50} - 4803q^{51} - 3538q^{52} - 1375q^{53} - 2646q^{54} - 1460q^{55} - 3305q^{56} - 719q^{57} + 142q^{58} + 1202q^{59} + 4043q^{60} + 837q^{61} - 3959q^{62} + 3279q^{63} + 5718q^{64} + 54q^{65} - 3457q^{66} + 1384q^{67} - 747q^{68} - 4715q^{69} - 2553q^{70} - 1619q^{71} - 20137q^{72} - 3630q^{73} - 5006q^{74} - 1186q^{75} + 1092q^{76} + 3515q^{77} + 2980q^{78} + 4422q^{79} - 1610q^{80} - 4089q^{81} + 5292q^{82} + 10398q^{83} + 17399q^{84} + 8666q^{85} + 1858q^{86} + 2754q^{87} + 7290q^{88} + 11478q^{89} + 29113q^{90} + 11920q^{91} + 3286q^{92} - 4q^{93} - 14736q^{94} - 1741q^{95} - 6200q^{96} + 2236q^{97} - 5254q^{98} - 7417q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.277412 + 0.347863i 0.0980798 + 0.122988i 0.828449 0.560064i \(-0.189224\pi\)
−0.730369 + 0.683052i \(0.760652\pi\)
\(3\) −3.67378 0.553733i −0.707019 0.106566i −0.214317 0.976764i \(-0.568753\pi\)
−0.492702 + 0.870198i \(0.663991\pi\)
\(4\) 1.73612 7.60642i 0.217014 0.950803i
\(5\) 14.5525 + 9.92173i 1.30162 + 0.887427i 0.997864 0.0653242i \(-0.0208082\pi\)
0.303752 + 0.952751i \(0.401761\pi\)
\(6\) −0.826526 1.43158i −0.0562380 0.0974070i
\(7\) 18.2723 31.6486i 0.986612 1.70886i 0.352072 0.935973i \(-0.385477\pi\)
0.634541 0.772890i \(-0.281189\pi\)
\(8\) 6.33459 3.05058i 0.279952 0.134818i
\(9\) −12.6104 3.88980i −0.467053 0.144067i
\(10\) 0.585630 + 7.81469i 0.0185192 + 0.247122i
\(11\) 9.82948 + 43.0658i 0.269427 + 1.18044i 0.910681 + 0.413109i \(0.135557\pi\)
−0.641254 + 0.767329i \(0.721586\pi\)
\(12\) −10.5900 + 26.9830i −0.254757 + 0.649109i
\(13\) −0.115920 + 1.54685i −0.00247311 + 0.0330014i −0.998304 0.0582192i \(-0.981458\pi\)
0.995831 + 0.0912206i \(0.0290768\pi\)
\(14\) 16.0783 2.42342i 0.306937 0.0462633i
\(15\) −47.9687 44.5085i −0.825698 0.766136i
\(16\) −53.4166 25.7241i −0.834635 0.401939i
\(17\) −63.2410 + 43.1170i −0.902246 + 0.615141i −0.923066 0.384642i \(-0.874325\pi\)
0.0208194 + 0.999783i \(0.493372\pi\)
\(18\) −2.14516 5.46578i −0.0280900 0.0715721i
\(19\) 55.5137 17.1237i 0.670300 0.206760i 0.0591191 0.998251i \(-0.481171\pi\)
0.611181 + 0.791491i \(0.290695\pi\)
\(20\) 100.734 93.4672i 1.12624 1.04500i
\(21\) −84.6533 + 106.152i −0.879660 + 1.10306i
\(22\) −12.2542 + 15.3663i −0.118755 + 0.148914i
\(23\) −25.4025 + 23.5700i −0.230295 + 0.213682i −0.786876 0.617111i \(-0.788303\pi\)
0.556582 + 0.830793i \(0.312113\pi\)
\(24\) −24.9611 + 7.69947i −0.212298 + 0.0654853i
\(25\) 67.6672 + 172.413i 0.541337 + 1.37930i
\(26\) −0.570249 + 0.388789i −0.00430135 + 0.00293261i
\(27\) 134.552 + 64.7970i 0.959060 + 0.461859i
\(28\) −209.010 193.933i −1.41068 1.30892i
\(29\) −117.436 + 17.7007i −0.751979 + 0.113343i −0.513837 0.857888i \(-0.671776\pi\)
−0.238142 + 0.971230i \(0.576538\pi\)
\(30\) 2.17578 29.0337i 0.0132414 0.176694i
\(31\) −14.0891 + 35.8985i −0.0816284 + 0.207986i −0.965861 0.259061i \(-0.916587\pi\)
0.884233 + 0.467047i \(0.154682\pi\)
\(32\) −18.3860 80.5545i −0.101569 0.445005i
\(33\) −12.2644 163.657i −0.0646957 0.863304i
\(34\) −32.5426 10.0381i −0.164147 0.0506327i
\(35\) 579.917 279.273i 2.80068 1.34874i
\(36\) −51.4806 + 89.1671i −0.238336 + 0.412811i
\(37\) 149.900 + 259.635i 0.666039 + 1.15361i 0.979002 + 0.203848i \(0.0653449\pi\)
−0.312963 + 0.949765i \(0.601322\pi\)
\(38\) 21.3568 + 14.5608i 0.0911720 + 0.0621600i
\(39\) 1.28241 5.61859i 0.00526537 0.0230691i
\(40\) 122.451 + 18.4565i 0.484031 + 0.0729559i
\(41\) −83.7405 105.007i −0.318977 0.399985i 0.596331 0.802739i \(-0.296625\pi\)
−0.915308 + 0.402754i \(0.868053\pi\)
\(42\) −60.4102 −0.221940
\(43\) −123.412 + 253.528i −0.437680 + 0.899131i
\(44\) 344.641 1.18083
\(45\) −144.920 181.724i −0.480075 0.601995i
\(46\) −15.2461 2.29798i −0.0488677 0.00736562i
\(47\) −14.7119 + 64.4571i −0.0456586 + 0.200043i −0.992613 0.121325i \(-0.961286\pi\)
0.946954 + 0.321368i \(0.104143\pi\)
\(48\) 181.997 + 124.083i 0.547270 + 0.373122i
\(49\) −496.255 859.539i −1.44681 2.50594i
\(50\) −41.2045 + 71.3683i −0.116544 + 0.201860i
\(51\) 256.209 123.384i 0.703459 0.338768i
\(52\) 11.5647 + 3.56725i 0.0308411 + 0.00951323i
\(53\) 26.5433 + 354.196i 0.0687926 + 0.917973i 0.919691 + 0.392643i \(0.128439\pi\)
−0.850898 + 0.525330i \(0.823942\pi\)
\(54\) 14.7859 + 64.7813i 0.0372612 + 0.163252i
\(55\) −284.244 + 724.241i −0.696862 + 1.77557i
\(56\) 19.2012 256.222i 0.0458190 0.611412i
\(57\) −213.427 + 32.1689i −0.495949 + 0.0747523i
\(58\) −38.7357 35.9414i −0.0876938 0.0813680i
\(59\) −51.9241 25.0053i −0.114575 0.0551765i 0.375718 0.926734i \(-0.377396\pi\)
−0.490293 + 0.871557i \(0.663110\pi\)
\(60\) −421.829 + 287.598i −0.907632 + 0.618813i
\(61\) −84.4048 215.060i −0.177163 0.451403i 0.814516 0.580141i \(-0.197003\pi\)
−0.991679 + 0.128738i \(0.958907\pi\)
\(62\) −16.3962 + 5.05757i −0.0335859 + 0.0103599i
\(63\) −353.528 + 328.026i −0.706991 + 0.655991i
\(64\) −272.802 + 342.083i −0.532817 + 0.668131i
\(65\) −17.0343 + 21.3604i −0.0325054 + 0.0407605i
\(66\) 53.5280 49.6667i 0.0998309 0.0926295i
\(67\) 634.912 195.844i 1.15771 0.357108i 0.344338 0.938846i \(-0.388103\pi\)
0.813376 + 0.581738i \(0.197627\pi\)
\(68\) 218.172 + 555.893i 0.389077 + 0.991353i
\(69\) 106.375 72.5249i 0.185594 0.126536i
\(70\) 258.025 + 124.258i 0.440569 + 0.212167i
\(71\) −475.157 440.881i −0.794236 0.736943i 0.174602 0.984639i \(-0.444136\pi\)
−0.968838 + 0.247696i \(0.920327\pi\)
\(72\) −91.7480 + 13.8288i −0.150175 + 0.0226352i
\(73\) 3.96799 52.9492i 0.00636189 0.0848936i −0.993119 0.117109i \(-0.962637\pi\)
0.999481 + 0.0322156i \(0.0102563\pi\)
\(74\) −48.7333 + 124.171i −0.0765559 + 0.195061i
\(75\) −153.123 670.877i −0.235749 1.03288i
\(76\) −33.8719 451.989i −0.0511233 0.682193i
\(77\) 1542.58 + 475.822i 2.28303 + 0.704220i
\(78\) 2.31026 1.11256i 0.00335365 0.00161503i
\(79\) 165.297 286.302i 0.235409 0.407741i −0.723982 0.689819i \(-0.757690\pi\)
0.959392 + 0.282078i \(0.0910236\pi\)
\(80\) −522.119 904.336i −0.729683 1.26385i
\(81\) −164.037 111.839i −0.225017 0.153414i
\(82\) 13.2976 58.2605i 0.0179082 0.0784609i
\(83\) −707.592 106.652i −0.935763 0.141044i −0.336579 0.941655i \(-0.609270\pi\)
−0.599184 + 0.800611i \(0.704508\pi\)
\(84\) 660.468 + 828.201i 0.857893 + 1.07576i
\(85\) −1348.11 −1.72027
\(86\) −122.429 + 27.4009i −0.153510 + 0.0343572i
\(87\) 441.237 0.543742
\(88\) 193.641 + 242.818i 0.234571 + 0.294142i
\(89\) 837.049 + 126.165i 0.996933 + 0.150264i 0.627187 0.778869i \(-0.284206\pi\)
0.369747 + 0.929133i \(0.379444\pi\)
\(90\) 23.0126 100.825i 0.0269526 0.118087i
\(91\) 46.8374 + 31.9332i 0.0539549 + 0.0367858i
\(92\) 135.182 + 234.142i 0.153192 + 0.265337i
\(93\) 71.6385 124.081i 0.0798770 0.138351i
\(94\) −26.5035 + 12.7634i −0.0290812 + 0.0140048i
\(95\) 977.760 + 301.599i 1.05596 + 0.325720i
\(96\) 22.9406 + 306.120i 0.0243892 + 0.325451i
\(97\) 95.8582 + 419.982i 0.100339 + 0.439616i 0.999995 + 0.00301642i \(0.000960157\pi\)
−0.899656 + 0.436599i \(0.856183\pi\)
\(98\) 161.335 411.075i 0.166299 0.423723i
\(99\) 43.5634 581.313i 0.0442251 0.590143i
\(100\) 1428.92 215.376i 1.42892 0.215376i
\(101\) −462.054 428.724i −0.455209 0.422372i 0.418952 0.908008i \(-0.362398\pi\)
−0.874161 + 0.485636i \(0.838588\pi\)
\(102\) 113.996 + 54.8975i 0.110660 + 0.0532908i
\(103\) 753.994 514.064i 0.721293 0.491769i −0.146177 0.989258i \(-0.546697\pi\)
0.867470 + 0.497489i \(0.165745\pi\)
\(104\) 3.98447 + 10.1523i 0.00375682 + 0.00957223i
\(105\) −2285.13 + 704.869i −2.12386 + 0.655126i
\(106\) −115.848 + 107.492i −0.106153 + 0.0984953i
\(107\) 1287.91 1614.99i 1.16362 1.45913i 0.300748 0.953704i \(-0.402764\pi\)
0.862870 0.505427i \(-0.168665\pi\)
\(108\) 726.472 910.967i 0.647267 0.811647i
\(109\) −473.937 + 439.749i −0.416467 + 0.386425i −0.860387 0.509642i \(-0.829778\pi\)
0.443920 + 0.896067i \(0.353588\pi\)
\(110\) −330.789 + 102.035i −0.286723 + 0.0884423i
\(111\) −406.932 1036.85i −0.347966 0.886604i
\(112\) −1790.18 + 1220.52i −1.51032 + 1.02972i
\(113\) −272.093 131.033i −0.226516 0.109084i 0.317184 0.948364i \(-0.397263\pi\)
−0.543700 + 0.839280i \(0.682977\pi\)
\(114\) −70.3975 65.3193i −0.0578362 0.0536642i
\(115\) −603.525 + 90.9668i −0.489383 + 0.0737626i
\(116\) −69.2443 + 924.001i −0.0554239 + 0.739581i
\(117\) 7.47874 19.0555i 0.00590948 0.0150571i
\(118\) −5.70591 24.9992i −0.00445146 0.0195031i
\(119\) 209.032 + 2789.33i 0.161024 + 2.14872i
\(120\) −439.638 135.610i −0.334444 0.103162i
\(121\) −558.852 + 269.129i −0.419874 + 0.202201i
\(122\) 51.3966 89.0215i 0.0381412 0.0660625i
\(123\) 249.498 + 432.144i 0.182898 + 0.316789i
\(124\) 248.599 + 169.492i 0.180039 + 0.122748i
\(125\) −236.003 + 1034.00i −0.168870 + 0.739869i
\(126\) −212.181 31.9812i −0.150021 0.0226120i
\(127\) 479.624 + 601.429i 0.335116 + 0.420222i 0.920628 0.390442i \(-0.127678\pi\)
−0.585512 + 0.810664i \(0.699106\pi\)
\(128\) −855.686 −0.590880
\(129\) 593.777 863.068i 0.405265 0.589061i
\(130\) −12.1560 −0.00820118
\(131\) −687.446 862.030i −0.458492 0.574931i 0.497819 0.867281i \(-0.334134\pi\)
−0.956311 + 0.292350i \(0.905563\pi\)
\(132\) −1266.14 190.839i −0.834872 0.125837i
\(133\) 472.422 2069.82i 0.308002 1.34944i
\(134\) 244.259 + 166.533i 0.157468 + 0.107360i
\(135\) 1315.18 + 2277.95i 0.838462 + 1.45226i
\(136\) −269.074 + 466.049i −0.169654 + 0.293849i
\(137\) −495.532 + 238.636i −0.309023 + 0.148818i −0.581967 0.813212i \(-0.697717\pi\)
0.272944 + 0.962030i \(0.412003\pi\)
\(138\) 54.7383 + 16.8845i 0.0337655 + 0.0104153i
\(139\) 45.3803 + 605.558i 0.0276914 + 0.369516i 0.993784 + 0.111322i \(0.0355084\pi\)
−0.966093 + 0.258194i \(0.916873\pi\)
\(140\) −1117.47 4895.94i −0.674594 2.95559i
\(141\) 89.7404 228.655i 0.0535993 0.136569i
\(142\) 21.5523 287.595i 0.0127368 0.169961i
\(143\) −67.7556 + 10.2125i −0.0396225 + 0.00597212i
\(144\) 573.545 + 532.172i 0.331913 + 0.307970i
\(145\) −1884.62 907.584i −1.07937 0.519798i
\(146\) 19.5198 13.3084i 0.0110649 0.00754391i
\(147\) 1347.18 + 3432.55i 0.755872 + 1.92593i
\(148\) 2235.14 689.448i 1.24140 0.382921i
\(149\) −2095.50 + 1944.34i −1.15215 + 1.06904i −0.155449 + 0.987844i \(0.549682\pi\)
−0.996698 + 0.0811923i \(0.974127\pi\)
\(150\) 190.895 239.375i 0.103910 0.130299i
\(151\) 1718.93 2155.47i 0.926390 1.16166i −0.0601592 0.998189i \(-0.519161\pi\)
0.986549 0.163467i \(-0.0522677\pi\)
\(152\) 299.419 277.820i 0.159777 0.148251i
\(153\) 965.212 297.729i 0.510018 0.157320i
\(154\) 262.408 + 668.605i 0.137308 + 0.349855i
\(155\) −561.207 + 382.625i −0.290821 + 0.198278i
\(156\) −40.5110 19.5090i −0.0207915 0.0100127i
\(157\) 1795.64 + 1666.11i 0.912788 + 0.846944i 0.988660 0.150174i \(-0.0479833\pi\)
−0.0758713 + 0.997118i \(0.524174\pi\)
\(158\) 145.449 21.9230i 0.0732363 0.0110386i
\(159\) 98.6158 1315.94i 0.0491871 0.656356i
\(160\) 531.677 1354.69i 0.262705 0.669361i
\(161\) 281.796 + 1234.63i 0.137942 + 0.604363i
\(162\) −6.60128 88.0879i −0.00320151 0.0427212i
\(163\) −379.922 117.190i −0.182563 0.0563133i 0.202126 0.979360i \(-0.435215\pi\)
−0.384689 + 0.923046i \(0.625691\pi\)
\(164\) −944.113 + 454.661i −0.449530 + 0.216482i
\(165\) 1445.28 2503.31i 0.681910 1.18110i
\(166\) −159.194 275.732i −0.0744328 0.128921i
\(167\) −2866.49 1954.34i −1.32824 0.905576i −0.328988 0.944334i \(-0.606708\pi\)
−0.999249 + 0.0387576i \(0.987660\pi\)
\(168\) −212.419 + 930.670i −0.0975506 + 0.427397i
\(169\) 2170.08 + 327.087i 0.987748 + 0.148879i
\(170\) −373.981 468.958i −0.168724 0.211573i
\(171\) −766.659 −0.342853
\(172\) 1714.18 + 1378.88i 0.759913 + 0.611271i
\(173\) −2390.82 −1.05070 −0.525349 0.850887i \(-0.676065\pi\)
−0.525349 + 0.850887i \(0.676065\pi\)
\(174\) 122.404 + 153.490i 0.0533302 + 0.0668739i
\(175\) 6693.06 + 1008.82i 2.89113 + 0.435768i
\(176\) 582.770 2553.28i 0.249591 1.09353i
\(177\) 176.911 + 120.616i 0.0751269 + 0.0512207i
\(178\) 188.319 + 326.178i 0.0792984 + 0.137349i
\(179\) 184.470 319.511i 0.0770274 0.133415i −0.824939 0.565222i \(-0.808790\pi\)
0.901966 + 0.431807i \(0.142124\pi\)
\(180\) −1633.86 + 786.828i −0.676562 + 0.325815i
\(181\) −3544.70 1093.39i −1.45566 0.449013i −0.536841 0.843683i \(-0.680383\pi\)
−0.918823 + 0.394670i \(0.870859\pi\)
\(182\) 1.88486 + 25.1517i 0.000767664 + 0.0102438i
\(183\) 190.999 + 836.821i 0.0771532 + 0.338030i
\(184\) −89.0118 + 226.798i −0.0356633 + 0.0908685i
\(185\) −394.603 + 5265.61i −0.156820 + 2.09262i
\(186\) 63.0367 9.50126i 0.0248499 0.00374552i
\(187\) −2478.49 2299.70i −0.969226 0.899310i
\(188\) 464.746 + 223.810i 0.180293 + 0.0868246i
\(189\) 4509.32 3074.40i 1.73547 1.18323i
\(190\) 166.327 + 423.794i 0.0635085 + 0.161817i
\(191\) 606.018 186.932i 0.229581 0.0708162i −0.177830 0.984061i \(-0.556908\pi\)
0.407411 + 0.913245i \(0.366432\pi\)
\(192\) 1191.64 1105.68i 0.447912 0.415601i
\(193\) 246.707 309.361i 0.0920124 0.115380i −0.733694 0.679480i \(-0.762205\pi\)
0.825706 + 0.564100i \(0.190777\pi\)
\(194\) −119.504 + 149.854i −0.0442263 + 0.0554580i
\(195\) 74.4084 69.0409i 0.0273256 0.0253545i
\(196\) −7399.57 + 2282.47i −2.69664 + 0.831802i
\(197\) −28.3942 72.3472i −0.0102690 0.0261651i 0.925647 0.378387i \(-0.123521\pi\)
−0.935916 + 0.352222i \(0.885426\pi\)
\(198\) 214.302 146.109i 0.0769182 0.0524419i
\(199\) −2645.49 1274.00i −0.942380 0.453826i −0.101372 0.994849i \(-0.532323\pi\)
−0.841008 + 0.541022i \(0.818037\pi\)
\(200\) 954.603 + 885.742i 0.337503 + 0.313157i
\(201\) −2440.97 + 367.917i −0.856582 + 0.129109i
\(202\) 20.9580 279.665i 0.00729999 0.0974116i
\(203\) −1585.63 + 4040.13i −0.548225 + 1.39685i
\(204\) −493.700 2163.04i −0.169441 0.742368i
\(205\) −176.780 2358.97i −0.0602287 0.803696i
\(206\) 387.991 + 119.679i 0.131226 + 0.0404779i
\(207\) 412.019 198.418i 0.138344 0.0666231i
\(208\) 45.9833 79.6455i 0.0153287 0.0265501i
\(209\) 1283.12 + 2222.42i 0.424665 + 0.735541i
\(210\) −879.120 599.374i −0.288881 0.196956i
\(211\) 683.250 2993.52i 0.222924 0.976692i −0.732341 0.680939i \(-0.761572\pi\)
0.955264 0.295754i \(-0.0955708\pi\)
\(212\) 2740.25 + 413.026i 0.887740 + 0.133805i
\(213\) 1501.49 + 1882.81i 0.483007 + 0.605672i
\(214\) 919.077 0.293583
\(215\) −4311.40 + 2465.00i −1.36760 + 0.781915i
\(216\) 1050.00 0.330757
\(217\) 878.695 + 1101.85i 0.274883 + 0.344693i
\(218\) −284.448 42.8736i −0.0883727 0.0133200i
\(219\) −43.8972 + 192.326i −0.0135448 + 0.0593434i
\(220\) 5015.40 + 3419.44i 1.53699 + 1.04790i
\(221\) −59.3645 102.822i −0.0180692 0.0312967i
\(222\) 247.793 429.190i 0.0749134 0.129754i
\(223\) −2823.83 + 1359.89i −0.847972 + 0.408362i −0.806825 0.590791i \(-0.798816\pi\)
−0.0411479 + 0.999153i \(0.513101\pi\)
\(224\) −2885.39 890.025i −0.860662 0.265479i
\(225\) −182.659 2437.42i −0.0541212 0.722197i
\(226\) −29.9002 131.001i −0.00880057 0.0385578i
\(227\) 33.2512 84.7226i 0.00972228 0.0247720i −0.925930 0.377695i \(-0.876717\pi\)
0.935652 + 0.352923i \(0.114812\pi\)
\(228\) −125.843 + 1679.26i −0.0365534 + 0.487772i
\(229\) −2644.71 + 398.625i −0.763175 + 0.115030i −0.519085 0.854722i \(-0.673727\pi\)
−0.244090 + 0.969753i \(0.578489\pi\)
\(230\) −199.069 184.709i −0.0570705 0.0529537i
\(231\) −5403.61 2602.24i −1.53910 0.741190i
\(232\) −689.914 + 470.375i −0.195237 + 0.133111i
\(233\) 1998.45 + 5091.98i 0.561901 + 1.43170i 0.876000 + 0.482311i \(0.160203\pi\)
−0.314099 + 0.949390i \(0.601702\pi\)
\(234\) 8.70340 2.68464i 0.00243145 0.000750003i
\(235\) −853.622 + 792.045i −0.236954 + 0.219861i
\(236\) −280.347 + 351.544i −0.0773265 + 0.0969643i
\(237\) −765.799 + 960.282i −0.209890 + 0.263194i
\(238\) −912.319 + 846.508i −0.248474 + 0.230550i
\(239\) 2583.20 796.812i 0.699136 0.215655i 0.0752435 0.997165i \(-0.476027\pi\)
0.623892 + 0.781510i \(0.285550\pi\)
\(240\) 1417.39 + 3611.45i 0.381217 + 0.971324i
\(241\) 1865.84 1272.11i 0.498711 0.340015i −0.287698 0.957721i \(-0.592890\pi\)
0.786409 + 0.617706i \(0.211938\pi\)
\(242\) −248.652 119.745i −0.0660495 0.0318078i
\(243\) −2415.13 2240.91i −0.637574 0.591582i
\(244\) −1782.37 + 268.650i −0.467642 + 0.0704858i
\(245\) 1306.36 17432.2i 0.340654 4.54571i
\(246\) −81.1132 + 206.673i −0.0210227 + 0.0535650i
\(247\) 20.0526 + 87.8562i 0.00516565 + 0.0226322i
\(248\) 20.2623 + 270.382i 0.00518814 + 0.0692309i
\(249\) 2540.48 + 783.635i 0.646572 + 0.199441i
\(250\) −425.160 + 204.746i −0.107558 + 0.0517972i
\(251\) 3094.63 5360.05i 0.778211 1.34790i −0.154760 0.987952i \(-0.549461\pi\)
0.932972 0.359950i \(-0.117206\pi\)
\(252\) 1881.34 + 3258.58i 0.470291 + 0.814568i
\(253\) −1264.75 862.295i −0.314286 0.214277i
\(254\) −76.1619 + 333.687i −0.0188143 + 0.0824307i
\(255\) 4952.66 + 746.493i 1.21626 + 0.183322i
\(256\) 1945.04 + 2439.00i 0.474864 + 0.595460i
\(257\) 2715.79 0.659169 0.329585 0.944126i \(-0.393091\pi\)
0.329585 + 0.944126i \(0.393091\pi\)
\(258\) 464.950 32.8719i 0.112196 0.00793222i
\(259\) 10956.1 2.62849
\(260\) 132.903 + 166.655i 0.0317010 + 0.0397518i
\(261\) 1549.78 + 233.591i 0.367543 + 0.0553982i
\(262\) 109.163 478.274i 0.0257409 0.112778i
\(263\) 1109.40 + 756.377i 0.260109 + 0.177339i 0.686352 0.727269i \(-0.259211\pi\)
−0.426243 + 0.904609i \(0.640163\pi\)
\(264\) −576.938 999.286i −0.134500 0.232961i
\(265\) −3127.97 + 5417.80i −0.725093 + 1.25590i
\(266\) 851.069 409.853i 0.196174 0.0944726i
\(267\) −3005.27 927.004i −0.688838 0.212478i
\(268\) −387.394 5169.42i −0.0882980 1.17826i
\(269\) −718.651 3148.62i −0.162888 0.713660i −0.988724 0.149749i \(-0.952153\pi\)
0.825836 0.563911i \(-0.190704\pi\)
\(270\) −427.571 + 1089.43i −0.0963745 + 0.245558i
\(271\) −1.82241 + 24.3183i −0.000408499 + 0.00545104i −0.997404 0.0720043i \(-0.977060\pi\)
0.996996 + 0.0774553i \(0.0246795\pi\)
\(272\) 4487.27 676.346i 1.00030 0.150770i
\(273\) −154.388 143.251i −0.0342270 0.0317580i
\(274\) −220.479 106.177i −0.0486117 0.0234102i
\(275\) −6759.97 + 4608.87i −1.48233 + 1.01064i
\(276\) −366.977 935.041i −0.0800340 0.203923i
\(277\) −449.897 + 138.775i −0.0975873 + 0.0301017i −0.343164 0.939275i \(-0.611499\pi\)
0.245577 + 0.969377i \(0.421023\pi\)
\(278\) −198.062 + 183.775i −0.0427302 + 0.0396478i
\(279\) 317.308 397.891i 0.0680886 0.0853804i
\(280\) 2821.59 3538.16i 0.602222 0.755163i
\(281\) −4172.91 + 3871.89i −0.885889 + 0.821985i −0.984904 0.173101i \(-0.944621\pi\)
0.0990148 + 0.995086i \(0.468431\pi\)
\(282\) 104.436 32.2141i 0.0220534 0.00680257i
\(283\) 938.681 + 2391.72i 0.197169 + 0.502378i 0.994927 0.100599i \(-0.0320760\pi\)
−0.797758 + 0.602978i \(0.793981\pi\)
\(284\) −4178.46 + 2848.82i −0.873048 + 0.595234i
\(285\) −3425.07 1649.43i −0.711872 0.342820i
\(286\) −22.3488 20.7366i −0.00462067 0.00428735i
\(287\) −4853.47 + 731.542i −0.998227 + 0.150458i
\(288\) −81.4852 + 1087.35i −0.0166721 + 0.222474i
\(289\) 345.427 880.135i 0.0703089 0.179144i
\(290\) −207.100 907.363i −0.0419356 0.183732i
\(291\) −119.604 1596.00i −0.0240938 0.321510i
\(292\) −395.865 122.108i −0.0793364 0.0244720i
\(293\) 6315.93 3041.59i 1.25932 0.606456i 0.319324 0.947645i \(-0.396544\pi\)
0.939995 + 0.341189i \(0.110830\pi\)
\(294\) −820.335 + 1420.86i −0.162731 + 0.281858i
\(295\) −507.530 879.067i −0.100168 0.173496i
\(296\) 1741.59 + 1187.40i 0.341986 + 0.233162i
\(297\) −1467.95 + 6431.53i −0.286799 + 1.25655i
\(298\) −1257.68 189.565i −0.244481 0.0368496i
\(299\) −33.5146 42.0260i −0.00648227 0.00812851i
\(300\) −5368.81 −1.03323
\(301\) 5768.76 + 8538.37i 1.10467 + 1.63503i
\(302\) 1226.66 0.233730
\(303\) 1460.09 + 1830.89i 0.276831 + 0.347135i
\(304\) −3405.85 513.349i −0.642561 0.0968505i
\(305\) 905.466 3967.10i 0.169990 0.744773i
\(306\) 371.330 + 253.169i 0.0693710 + 0.0472963i
\(307\) −1035.88 1794.19i −0.192576 0.333551i 0.753527 0.657416i \(-0.228351\pi\)
−0.946103 + 0.323866i \(0.895017\pi\)
\(308\) 6297.40 10907.4i 1.16502 2.01788i
\(309\) −3054.66 + 1471.05i −0.562374 + 0.270825i
\(310\) −288.786 89.0788i −0.0529096 0.0163204i
\(311\) 144.483 + 1927.99i 0.0263436 + 0.351531i 0.994763 + 0.102205i \(0.0325899\pi\)
−0.968420 + 0.249326i \(0.919791\pi\)
\(312\) −9.01642 39.5035i −0.00163607 0.00716810i
\(313\) 2056.88 5240.85i 0.371443 0.946422i −0.615900 0.787824i \(-0.711207\pi\)
0.987343 0.158598i \(-0.0506973\pi\)
\(314\) −81.4471 + 1086.84i −0.0146380 + 0.195330i
\(315\) −8399.32 + 1265.99i −1.50237 + 0.226447i
\(316\) −1890.76 1754.37i −0.336594 0.312314i
\(317\) 7182.76 + 3459.04i 1.27263 + 0.612867i 0.943486 0.331412i \(-0.107525\pi\)
0.329145 + 0.944279i \(0.393239\pi\)
\(318\) 485.123 330.751i 0.0855483 0.0583258i
\(319\) −1916.63 4883.50i −0.336398 0.857127i
\(320\) −7364.02 + 2271.50i −1.28644 + 0.396814i
\(321\) −5625.77 + 5219.96i −0.978194 + 0.907631i
\(322\) −351.309 + 440.528i −0.0608003 + 0.0762411i
\(323\) −2772.42 + 3476.50i −0.477589 + 0.598878i
\(324\) −1135.48 + 1053.57i −0.194698 + 0.180654i
\(325\) −274.541 + 84.6846i −0.0468578 + 0.0144537i
\(326\) −64.6286 164.671i −0.0109799 0.0279763i
\(327\) 1984.64 1353.11i 0.335630 0.228829i
\(328\) −850.794 409.721i −0.143223 0.0689727i
\(329\) 1771.16 + 1643.39i 0.296799 + 0.275390i
\(330\) 1271.75 191.685i 0.212143 0.0319755i
\(331\) −389.561 + 5198.33i −0.0646895 + 0.863222i 0.866614 + 0.498978i \(0.166291\pi\)
−0.931304 + 0.364243i \(0.881328\pi\)
\(332\) −2039.71 + 5197.08i −0.337179 + 0.859118i
\(333\) −880.378 3857.19i −0.144878 0.634753i
\(334\) −115.355 1539.30i −0.0188980 0.252176i
\(335\) 11182.7 + 3449.40i 1.82381 + 0.562570i
\(336\) 7252.56 3492.65i 1.17756 0.567082i
\(337\) 2339.78 4052.61i 0.378207 0.655074i −0.612594 0.790397i \(-0.709874\pi\)
0.990801 + 0.135324i \(0.0432074\pi\)
\(338\) 488.224 + 845.630i 0.0785678 + 0.136083i
\(339\) 927.051 + 632.053i 0.148527 + 0.101264i
\(340\) −2340.48 + 10254.3i −0.373324 + 1.63564i
\(341\) −1684.48 253.895i −0.267507 0.0403202i
\(342\) −212.680 266.692i −0.0336270 0.0421669i
\(343\) −23736.1 −3.73653
\(344\) −8.36114 + 1982.47i −0.00131047 + 0.310720i
\(345\) 2267.59 0.353863
\(346\) −663.242 831.679i −0.103052 0.129223i
\(347\) 5636.74 + 849.601i 0.872034 + 0.131438i 0.569788 0.821792i \(-0.307025\pi\)
0.302246 + 0.953230i \(0.402264\pi\)
\(348\) 766.039 3356.23i 0.118000 0.516992i
\(349\) 970.350 + 661.573i 0.148830 + 0.101471i 0.635446 0.772146i \(-0.280816\pi\)
−0.486616 + 0.873616i \(0.661769\pi\)
\(350\) 1505.80 + 2608.13i 0.229967 + 0.398315i
\(351\) −115.829 + 200.621i −0.0176139 + 0.0305081i
\(352\) 3288.42 1583.62i 0.497935 0.239793i
\(353\) 5742.88 + 1771.44i 0.865900 + 0.267095i 0.695716 0.718317i \(-0.255087\pi\)
0.170185 + 0.985412i \(0.445564\pi\)
\(354\) 7.11936 + 95.0013i 0.00106890 + 0.0142634i
\(355\) −2540.42 11130.3i −0.379807 1.66404i
\(356\) 2412.88 6147.91i 0.359220 0.915277i
\(357\) 776.610 10363.1i 0.115133 1.53635i
\(358\) 162.320 24.4658i 0.0239634 0.00361189i
\(359\) −5806.18 5387.35i −0.853589 0.792015i 0.126209 0.992004i \(-0.459719\pi\)
−0.979798 + 0.199989i \(0.935909\pi\)
\(360\) −1472.37 709.056i −0.215557 0.103807i
\(361\) −2878.63 + 1962.61i −0.419686 + 0.286137i
\(362\) −602.989 1536.39i −0.0875480 0.223069i
\(363\) 2202.13 679.266i 0.318407 0.0982155i
\(364\) 324.213 300.825i 0.0466850 0.0433174i
\(365\) 583.092 731.174i 0.0836176 0.104853i
\(366\) −238.114 + 298.585i −0.0340066 + 0.0426429i
\(367\) −6005.76 + 5572.53i −0.854219 + 0.792599i −0.979904 0.199471i \(-0.936078\pi\)
0.125685 + 0.992070i \(0.459887\pi\)
\(368\) 1963.23 605.577i 0.278099 0.0857823i
\(369\) 647.547 + 1649.92i 0.0913548 + 0.232768i
\(370\) −1941.18 + 1323.47i −0.272749 + 0.185957i
\(371\) 11694.8 + 5631.92i 1.63656 + 0.788127i
\(372\) −819.443 760.332i −0.114210 0.105971i
\(373\) 10599.1 1597.56i 1.47132 0.221765i 0.636065 0.771635i \(-0.280561\pi\)
0.835250 + 0.549870i \(0.185323\pi\)
\(374\) 112.420 1500.14i 0.0155430 0.207408i
\(375\) 1439.58 3668.00i 0.198239 0.505106i
\(376\) 103.437 + 453.189i 0.0141872 + 0.0621581i
\(377\) −13.7670 183.708i −0.00188074 0.0250967i
\(378\) 2320.41 + 715.751i 0.315738 + 0.0973923i
\(379\) −10018.5 + 4824.67i −1.35783 + 0.653897i −0.964152 0.265351i \(-0.914512\pi\)
−0.393679 + 0.919248i \(0.628798\pi\)
\(380\) 3991.59 6913.64i 0.538854 0.933322i
\(381\) −1429.00 2475.10i −0.192152 0.332817i
\(382\) 233.143 + 158.954i 0.0312268 + 0.0212901i
\(383\) −471.555 + 2066.02i −0.0629120 + 0.275636i −0.996594 0.0824685i \(-0.973720\pi\)
0.933682 + 0.358104i \(0.116577\pi\)
\(384\) 3143.60 + 473.822i 0.417763 + 0.0629677i
\(385\) 17727.4 + 22229.5i 2.34668 + 2.94264i
\(386\) 176.055 0.0232149
\(387\) 2542.46 2717.04i 0.333955 0.356887i
\(388\) 3360.98 0.439763
\(389\) −2537.12 3181.45i −0.330687 0.414668i 0.588496 0.808500i \(-0.299720\pi\)
−0.919182 + 0.393832i \(0.871149\pi\)
\(390\) 44.6586 + 6.73119i 0.00579839 + 0.000873967i
\(391\) 590.208 2585.87i 0.0763378 0.334458i
\(392\) −5765.66 3930.96i −0.742882 0.506488i
\(393\) 2048.19 + 3547.57i 0.262895 + 0.455347i
\(394\) 17.2901 29.9473i 0.00221081 0.00382924i
\(395\) 5246.10 2526.39i 0.668253 0.321814i
\(396\) −4346.08 1340.59i −0.551512 0.170119i
\(397\) 301.554 + 4023.95i 0.0381223 + 0.508706i 0.983281 + 0.182095i \(0.0582878\pi\)
−0.945159 + 0.326612i \(0.894093\pi\)
\(398\) −290.712 1273.69i −0.0366132 0.160413i
\(399\) −2881.70 + 7342.46i −0.361568 + 0.921260i
\(400\) 820.619 10950.4i 0.102577 1.36880i
\(401\) 8521.13 1284.35i 1.06116 0.159944i 0.404810 0.914401i \(-0.367338\pi\)
0.656350 + 0.754457i \(0.272100\pi\)
\(402\) −805.139 747.060i −0.0998923 0.0926865i
\(403\) −53.8963 25.9551i −0.00666195 0.00320823i
\(404\) −4063.23 + 2770.26i −0.500380 + 0.341153i
\(405\) −1277.52 3255.07i −0.156742 0.399372i
\(406\) −1845.29 + 569.195i −0.225566 + 0.0695780i
\(407\) −9707.93 + 9007.64i −1.18232 + 1.09703i
\(408\) 1246.58 1563.17i 0.151263 0.189677i
\(409\) 7506.00 9412.22i 0.907451 1.13791i −0.0825128 0.996590i \(-0.526295\pi\)
0.989964 0.141318i \(-0.0451340\pi\)
\(410\) 771.559 715.902i 0.0929380 0.0862338i
\(411\) 1952.61 602.302i 0.234344 0.0722855i
\(412\) −2601.17 6627.67i −0.311045 0.792529i
\(413\) −1740.16 + 1186.42i −0.207330 + 0.141355i
\(414\) 183.321 + 88.2827i 0.0217626 + 0.0104803i
\(415\) −9239.07 8572.60i −1.09284 1.01401i
\(416\) 126.737 19.1025i 0.0149370 0.00225139i
\(417\) 168.600 2249.81i 0.0197995 0.264206i
\(418\) −417.148 + 1062.87i −0.0488118 + 0.124371i
\(419\) 574.947 + 2519.01i 0.0670358 + 0.293703i 0.997322 0.0731307i \(-0.0232990\pi\)
−0.930287 + 0.366834i \(0.880442\pi\)
\(420\) 1394.28 + 18605.4i 0.161986 + 2.16155i
\(421\) −6126.69 1889.83i −0.709256 0.218776i −0.0809222 0.996720i \(-0.525787\pi\)
−0.628334 + 0.777944i \(0.716263\pi\)
\(422\) 1230.88 592.758i 0.141986 0.0683769i
\(423\) 436.249 755.606i 0.0501446 0.0868530i
\(424\) 1248.64 + 2162.71i 0.143018 + 0.247714i
\(425\) −11713.3 7985.97i −1.33689 0.911474i
\(426\) −238.429 + 1044.63i −0.0271172 + 0.118808i
\(427\) −8348.61 1258.35i −0.946177 0.142613i
\(428\) −10048.3 12600.2i −1.13482 1.42302i
\(429\) 254.574 0.0286503
\(430\) −2053.52 815.957i −0.230301 0.0915091i
\(431\) 9064.55 1.01305 0.506524 0.862226i \(-0.330930\pi\)
0.506524 + 0.862226i \(0.330930\pi\)
\(432\) −5520.49 6922.48i −0.614826 0.770968i
\(433\) −11690.3 1762.04i −1.29746 0.195561i −0.536249 0.844060i \(-0.680159\pi\)
−0.761216 + 0.648499i \(0.775397\pi\)
\(434\) −139.532 + 611.331i −0.0154327 + 0.0676149i
\(435\) 6421.11 + 4377.84i 0.707744 + 0.482531i
\(436\) 2522.11 + 4368.42i 0.277034 + 0.479838i
\(437\) −1006.58 + 1743.44i −0.110186 + 0.190847i
\(438\) −79.0809 + 38.0833i −0.00862701 + 0.00415455i
\(439\) 15786.4 + 4869.47i 1.71628 + 0.529401i 0.987808 0.155679i \(-0.0497566\pi\)
0.728468 + 0.685080i \(0.240233\pi\)
\(440\) 408.786 + 5454.87i 0.0442912 + 0.591024i
\(441\) 2914.55 + 12769.5i 0.314713 + 1.37885i
\(442\) 19.2997 49.1748i 0.00207691 0.00529187i
\(443\) −1134.26 + 15135.6i −0.121648 + 1.62328i 0.518534 + 0.855057i \(0.326478\pi\)
−0.640182 + 0.768223i \(0.721141\pi\)
\(444\) −8593.17 + 1295.21i −0.918499 + 0.138441i
\(445\) 10929.4 + 10141.0i 1.16428 + 1.08029i
\(446\) −1256.42 605.059i −0.133393 0.0642386i
\(447\) 8775.04 5982.72i 0.928513 0.633049i
\(448\) 5841.72 + 14884.5i 0.616061 + 1.56970i
\(449\) −12126.8 + 3740.62i −1.27461 + 0.393164i −0.856931 0.515432i \(-0.827632\pi\)
−0.417676 + 0.908596i \(0.637155\pi\)
\(450\) 797.215 739.708i 0.0835136 0.0774893i
\(451\) 3699.09 4638.52i 0.386216 0.484300i
\(452\) −1469.08 + 1842.16i −0.152875 + 0.191699i
\(453\) −7508.54 + 6966.91i −0.778768 + 0.722591i
\(454\) 38.6962 11.9362i 0.00400022 0.00123391i
\(455\) 364.769 + 929.417i 0.0375838 + 0.0957620i
\(456\) −1253.84 + 854.852i −0.128764 + 0.0877897i
\(457\) −13684.1 6589.89i −1.40068 0.674534i −0.427385 0.904070i \(-0.640565\pi\)
−0.973300 + 0.229536i \(0.926279\pi\)
\(458\) −872.340 809.413i −0.0889995 0.0825795i
\(459\) −11303.1 + 1703.66i −1.14942 + 0.173247i
\(460\) −355.858 + 4748.59i −0.0360695 + 0.481314i
\(461\) 2404.35 6126.19i 0.242911 0.618927i −0.756473 0.654025i \(-0.773079\pi\)
0.999384 + 0.0350982i \(0.0111744\pi\)
\(462\) −593.801 2601.61i −0.0597968 0.261987i
\(463\) −526.749 7028.97i −0.0528728 0.705538i −0.959158 0.282871i \(-0.908713\pi\)
0.906285 0.422667i \(-0.138906\pi\)
\(464\) 6728.39 + 2075.43i 0.673185 + 0.207650i
\(465\) 2273.62 1094.92i 0.226746 0.109195i
\(466\) −1216.92 + 2107.76i −0.120971 + 0.209528i
\(467\) −5105.54 8843.05i −0.505902 0.876248i −0.999977 0.00682848i \(-0.997826\pi\)
0.494075 0.869419i \(-0.335507\pi\)
\(468\) −131.960 89.9690i −0.0130339 0.00888637i
\(469\) 5403.12 23672.6i 0.531967 2.33070i
\(470\) −512.328 77.2211i −0.0502807 0.00757860i
\(471\) −5674.21 7115.23i −0.555103 0.696078i
\(472\) −405.198 −0.0395143
\(473\) −12131.5 2822.81i −1.17929 0.274403i
\(474\) −546.488 −0.0529558
\(475\) 6708.80 + 8412.57i 0.648044 + 0.812621i
\(476\) 21579.7 + 3252.62i 2.07795 + 0.313201i
\(477\) 1043.03 4569.81i 0.100120 0.438653i
\(478\) 993.792 + 677.556i 0.0950941 + 0.0648341i
\(479\) −5309.60 9196.49i −0.506475 0.877241i −0.999972 0.00749333i \(-0.997615\pi\)
0.493497 0.869748i \(-0.335719\pi\)
\(480\) −2703.40 + 4682.43i −0.257069 + 0.445256i
\(481\) −418.992 + 201.776i −0.0397181 + 0.0191272i
\(482\) 960.126 + 296.160i 0.0907314 + 0.0279869i
\(483\) −351.602 4691.80i −0.0331231 0.441996i
\(484\) 1076.88 + 4718.11i 0.101134 + 0.443098i
\(485\) −2771.97 + 7062.88i −0.259524 + 0.661255i
\(486\) 109.546 1461.79i 0.0102245 0.136436i
\(487\) 12845.7 1936.18i 1.19527 0.180157i 0.478892 0.877874i \(-0.341038\pi\)
0.716374 + 0.697716i \(0.245800\pi\)
\(488\) −1190.73 1104.83i −0.110454 0.102487i
\(489\) 1330.86 + 640.907i 0.123075 + 0.0592696i
\(490\) 6426.41 4381.45i 0.592481 0.403946i
\(491\) 3035.84 + 7735.20i 0.279034 + 0.710966i 0.999841 + 0.0178308i \(0.00567602\pi\)
−0.720807 + 0.693136i \(0.756229\pi\)
\(492\) 3720.22 1147.54i 0.340896 0.105152i
\(493\) 6663.59 6182.91i 0.608749 0.564836i
\(494\) −24.9991 + 31.3479i −0.00227685 + 0.00285508i
\(495\) 6401.59 8027.34i 0.581273 0.728893i
\(496\) 1676.05 1555.15i 0.151727 0.140783i
\(497\) −22635.5 + 6982.12i −2.04294 + 0.630163i
\(498\) 432.161 + 1101.13i 0.0388868 + 0.0990819i
\(499\) −11452.0 + 7807.82i −1.02738 + 0.700453i −0.954903 0.296917i \(-0.904041\pi\)
−0.0724726 + 0.997370i \(0.523089\pi\)
\(500\) 7455.30 + 3590.28i 0.666822 + 0.321125i
\(501\) 9448.66 + 8767.08i 0.842585 + 0.781805i
\(502\) 2723.05 410.434i 0.242103 0.0364911i
\(503\) −409.226 + 5460.75i −0.0362754 + 0.484061i 0.949249 + 0.314526i \(0.101846\pi\)
−0.985524 + 0.169535i \(0.945773\pi\)
\(504\) −1238.79 + 3156.38i −0.109484 + 0.278961i
\(505\) −2470.37 10823.4i −0.217683 0.953731i
\(506\) −50.8969 679.172i −0.00447163 0.0596697i
\(507\) −7791.28 2403.29i −0.682491 0.210521i
\(508\) 5407.41 2604.07i 0.472273 0.227435i
\(509\) 6760.95 11710.3i 0.588751 1.01975i −0.405646 0.914030i \(-0.632953\pi\)
0.994396 0.105716i \(-0.0337133\pi\)
\(510\) 1114.25 + 1929.93i 0.0967446 + 0.167567i
\(511\) −1603.26 1093.09i −0.138795 0.0946287i
\(512\) −1832.13 + 8027.07i −0.158143 + 0.692871i
\(513\) 8579.06 + 1293.09i 0.738353 + 0.111289i
\(514\) 753.392 + 944.724i 0.0646512 + 0.0810700i
\(515\) 16072.9 1.37526
\(516\) −5533.99 6014.90i −0.472132 0.513162i
\(517\) −2920.51 −0.248440
\(518\) 3039.35 + 3811.22i 0.257802 + 0.323273i
\(519\) 8783.35 + 1323.88i 0.742864 + 0.111969i
\(520\) −42.7440 + 187.274i −0.00360471 + 0.0157933i
\(521\) −8650.99 5898.14i −0.727460 0.495974i 0.142068 0.989857i \(-0.454625\pi\)
−0.869528 + 0.493883i \(0.835577\pi\)
\(522\) 348.668 + 603.911i 0.0292352 + 0.0506369i
\(523\) −6354.98 + 11007.2i −0.531327 + 0.920285i 0.468005 + 0.883726i \(0.344973\pi\)
−0.999331 + 0.0365592i \(0.988360\pi\)
\(524\) −7750.45 + 3732.42i −0.646145 + 0.311167i
\(525\) −24030.2 7412.34i −1.99765 0.616193i
\(526\) 44.6451 + 595.748i 0.00370080 + 0.0493837i
\(527\) −656.824 2877.73i −0.0542917 0.237867i
\(528\) −3554.81 + 9057.50i −0.292998 + 0.746548i
\(529\) −819.503 + 10935.5i −0.0673546 + 0.898784i
\(530\) −2752.39 + 414.856i −0.225578 + 0.0340003i
\(531\) 557.519 + 517.302i 0.0455636 + 0.0422768i
\(532\) −14923.7 7186.89i −1.21621 0.585698i
\(533\) 172.138 117.361i 0.0139889 0.00953750i
\(534\) −511.227 1302.59i −0.0414288 0.105559i
\(535\) 34765.8 10723.8i 2.80945 0.866602i
\(536\) 3424.47 3177.44i 0.275960 0.256053i
\(537\) −854.624 + 1071.66i −0.0686774 + 0.0861187i
\(538\) 895.926 1123.46i 0.0717958 0.0900290i
\(539\) 32138.8 29820.4i 2.56830 2.38304i
\(540\) 19610.4 6049.00i 1.56277 0.482051i
\(541\) 4580.04 + 11669.7i 0.363976 + 0.927396i 0.989150 + 0.146910i \(0.0469329\pi\)
−0.625174 + 0.780486i \(0.714972\pi\)
\(542\) −8.96500 + 6.11223i −0.000710479 + 0.000484397i
\(543\) 12417.0 + 5979.71i 0.981333 + 0.472585i
\(544\) 4636.02 + 4301.59i 0.365382 + 0.339025i
\(545\) −11260.0 + 1697.18i −0.885004 + 0.133393i
\(546\) 7.00276 93.4454i 0.000548884 0.00732434i
\(547\) 3235.24 8243.26i 0.252887 0.644345i −0.746901 0.664935i \(-0.768459\pi\)
0.999788 + 0.0205903i \(0.00655455\pi\)
\(548\) 954.862 + 4183.52i 0.0744337 + 0.326115i
\(549\) 227.840 + 3040.32i 0.0177122 + 0.236353i
\(550\) −3478.55 1072.99i −0.269683 0.0831863i
\(551\) −6216.23 + 2993.58i −0.480617 + 0.231453i
\(552\) 452.596 783.919i 0.0348981 0.0604453i
\(553\) −6040.71 10462.8i −0.464516 0.804565i
\(554\) −173.081 118.005i −0.0132735 0.00904972i
\(555\) 4365.43 19126.2i 0.333877 1.46281i
\(556\) 4684.91 + 706.137i 0.357346 + 0.0538613i
\(557\) −2609.89 3272.70i −0.198536 0.248956i 0.672591 0.740015i \(-0.265182\pi\)
−0.871127 + 0.491059i \(0.836610\pi\)
\(558\) 226.437 0.0171789
\(559\) −377.863 220.289i −0.0285902 0.0166677i
\(560\) −38161.3 −2.87966
\(561\) 7832.01 + 9821.03i 0.589425 + 0.739116i
\(562\) −2504.50 377.493i −0.187982 0.0283338i
\(563\) 1215.12 5323.79i 0.0909614 0.398528i −0.908866 0.417087i \(-0.863051\pi\)
0.999828 + 0.0185596i \(0.00590804\pi\)
\(564\) −1583.44 1079.57i −0.118218 0.0805998i
\(565\) −2659.56 4606.49i −0.198033 0.343003i
\(566\) −571.591 + 990.024i −0.0424483 + 0.0735227i
\(567\) −6536.88 + 3147.99i −0.484168 + 0.233163i
\(568\) −4354.86 1343.30i −0.321701 0.0992315i
\(569\) 1047.49 + 13977.8i 0.0771760 + 1.02984i 0.892562 + 0.450925i \(0.148906\pi\)
−0.815386 + 0.578918i \(0.803475\pi\)
\(570\) −376.379 1649.03i −0.0276575 0.121176i
\(571\) −4313.21 + 10989.9i −0.316116 + 0.805450i 0.681191 + 0.732106i \(0.261462\pi\)
−0.997307 + 0.0733442i \(0.976633\pi\)
\(572\) −39.9509 + 533.108i −0.00292034 + 0.0389692i
\(573\) −2329.89 + 351.174i −0.169865 + 0.0256030i
\(574\) −1600.88 1485.40i −0.116411 0.108013i
\(575\) −5782.69 2784.80i −0.419400 0.201972i
\(576\) 4770.79 3252.67i 0.345109 0.235292i
\(577\) 2803.90 + 7144.21i 0.202301 + 0.515455i 0.995635 0.0933319i \(-0.0297518\pi\)
−0.793334 + 0.608787i \(0.791657\pi\)
\(578\) 401.992 123.998i 0.0289285 0.00892326i
\(579\) −1077.65 + 999.915i −0.0773501 + 0.0717704i
\(580\) −10175.4 + 12759.5i −0.728465 + 0.913466i
\(581\) −16304.7 + 20445.5i −1.16426 + 1.45994i
\(582\) 522.011 484.355i 0.0371788 0.0344969i
\(583\) −14992.8 + 4624.67i −1.06508 + 0.328532i
\(584\) −136.390 347.516i −0.00966413 0.0246238i
\(585\) 297.898 203.104i 0.0210540 0.0143544i
\(586\) 2810.17 + 1353.31i 0.198101 + 0.0954003i
\(587\) −3508.65 3255.55i −0.246708 0.228911i 0.547120 0.837054i \(-0.315724\pi\)
−0.793827 + 0.608143i \(0.791915\pi\)
\(588\) 28448.3 4287.89i 1.99522 0.300730i
\(589\) −167.424 + 2234.11i −0.0117123 + 0.156290i
\(590\) 165.000 420.414i 0.0115135 0.0293359i
\(591\) 64.2529 + 281.510i 0.00447210 + 0.0195936i
\(592\) −1328.30 17724.9i −0.0922172 1.23055i
\(593\) −16696.0 5150.04i −1.15619 0.356639i −0.343400 0.939189i \(-0.611579\pi\)
−0.812795 + 0.582550i \(0.802055\pi\)
\(594\) −2644.52 + 1273.53i −0.182670 + 0.0879692i
\(595\) −24633.1 + 42665.8i −1.69724 + 2.93971i
\(596\) 11151.4 + 19314.8i 0.766410 + 1.32746i
\(597\) 9013.48 + 6145.29i 0.617918 + 0.421290i
\(598\) 5.32195 23.3170i 0.000363931 0.00159449i
\(599\) −9478.08 1428.59i −0.646517 0.0974468i −0.182405 0.983223i \(-0.558388\pi\)
−0.464112 + 0.885777i \(0.653626\pi\)
\(600\) −3016.53 3782.61i −0.205249 0.257374i
\(601\) 18359.6 1.24610 0.623049 0.782183i \(-0.285894\pi\)
0.623049 + 0.782183i \(0.285894\pi\)
\(602\) −1369.86 + 4375.38i −0.0927433 + 0.296225i
\(603\) −8768.31 −0.592161
\(604\) −13411.2 16817.1i −0.903465 1.13291i
\(605\) −10802.9 1628.28i −0.725953 0.109420i
\(606\) −231.855 + 1015.82i −0.0155420 + 0.0680939i
\(607\) 17717.2 + 12079.4i 1.18471 + 0.807722i 0.985071 0.172148i \(-0.0550707\pi\)
0.199639 + 0.979870i \(0.436023\pi\)
\(608\) −2400.07 4157.04i −0.160091 0.277286i
\(609\) 8062.42 13964.5i 0.536463 0.929181i
\(610\) 1631.20 785.543i 0.108271 0.0521405i
\(611\) −98.0000 30.2290i −0.00648880 0.00200153i
\(612\) −588.928 7858.70i −0.0388987 0.519067i
\(613\) 278.949 + 1222.16i 0.0183795 + 0.0805260i 0.983286 0.182068i \(-0.0582791\pi\)
−0.964906 + 0.262594i \(0.915422\pi\)
\(614\) 336.769 858.075i 0.0221350 0.0563991i
\(615\) −656.788 + 8764.23i −0.0430638 + 0.574647i
\(616\) 11223.1 1691.61i 0.734079 0.110645i
\(617\) 9007.56 + 8357.79i 0.587732 + 0.545336i 0.916993 0.398903i \(-0.130609\pi\)
−0.329261 + 0.944239i \(0.606800\pi\)
\(618\) −1359.12 654.519i −0.0884659 0.0426029i
\(619\) 1589.35 1083.60i 0.103201 0.0703611i −0.510620 0.859806i \(-0.670584\pi\)
0.613821 + 0.789445i \(0.289632\pi\)
\(620\) 1936.08 + 4933.06i 0.125411 + 0.319543i
\(621\) −4945.23 + 1525.40i −0.319558 + 0.0985704i
\(622\) −630.595 + 585.107i −0.0406504 + 0.0377181i
\(623\) 19287.8 24186.1i 1.24037 1.55537i
\(624\) −213.035 + 267.137i −0.0136670 + 0.0171379i
\(625\) 3278.16 3041.69i 0.209802 0.194668i
\(626\) 2393.70 738.359i 0.152830 0.0471418i
\(627\) −3483.26 8875.19i −0.221863 0.565297i
\(628\) 15790.6 10765.8i 1.00336 0.684082i
\(629\) −20674.5 9956.31i −1.31057 0.631136i
\(630\) −2770.46 2570.61i −0.175203 0.162565i
\(631\) −18743.7 + 2825.16i −1.18253 + 0.178238i −0.710728 0.703467i \(-0.751634\pi\)
−0.471802 + 0.881705i \(0.656396\pi\)
\(632\) 173.699 2317.86i 0.0109326 0.145885i
\(633\) −4167.72 + 10619.2i −0.261694 + 0.666784i
\(634\) 789.311 + 3458.20i 0.0494441 + 0.216629i
\(635\) 1012.51 + 13511.0i 0.0632760 + 0.844359i
\(636\) −9838.36 3034.73i −0.613390 0.189206i
\(637\) 1387.10 667.993i 0.0862778 0.0415492i
\(638\) 1167.09 2021.47i 0.0724227 0.125440i
\(639\) 4276.99 + 7407.97i 0.264781 + 0.458615i
\(640\) −12452.4 8489.89i −0.769099 0.524363i
\(641\) −4455.39 + 19520.3i −0.274536 + 1.20282i 0.630059 + 0.776547i \(0.283031\pi\)
−0.904595 + 0.426272i \(0.859827\pi\)
\(642\) −3376.49 508.923i −0.207569 0.0312860i
\(643\) −10631.0 13330.8i −0.652015 0.817601i 0.340433 0.940269i \(-0.389426\pi\)
−0.992448 + 0.122668i \(0.960855\pi\)
\(644\) 9880.35 0.604566
\(645\) 17204.1 6668.51i 1.05025 0.407089i
\(646\) −1978.45 −0.120497
\(647\) −3747.66 4699.41i −0.227721 0.285553i 0.654824 0.755782i \(-0.272743\pi\)
−0.882545 + 0.470228i \(0.844172\pi\)
\(648\) −1380.28 208.044i −0.0836767 0.0126122i
\(649\) 566.486 2481.94i 0.0342628 0.150115i
\(650\) −105.620 72.0102i −0.00637344 0.00434534i
\(651\) −2618.00 4534.51i −0.157615 0.272998i
\(652\) −1550.99 + 2686.39i −0.0931616 + 0.161361i
\(653\) 10455.0 5034.87i 0.626548 0.301730i −0.0935365 0.995616i \(-0.529817\pi\)
0.720085 + 0.693886i \(0.244103\pi\)
\(654\) 1021.26 + 315.017i 0.0610618 + 0.0188351i
\(655\) −1451.23 19365.4i −0.0865716 1.15522i
\(656\) 1771.92 + 7763.29i 0.105460 + 0.462051i
\(657\) −256.000 + 652.277i −0.0152017 + 0.0387333i
\(658\) −80.3365 + 1072.02i −0.00475964 + 0.0635130i
\(659\) 19305.7 2909.87i 1.14119 0.172007i 0.448870 0.893597i \(-0.351827\pi\)
0.692321 + 0.721590i \(0.256588\pi\)
\(660\) −16532.0 15339.5i −0.975012 0.904679i
\(661\) 26862.7 + 12936.4i 1.58069 + 0.761222i 0.998650 0.0519363i \(-0.0165393\pi\)
0.582043 + 0.813158i \(0.302254\pi\)
\(662\) −1916.38 + 1306.56i −0.112511 + 0.0767086i
\(663\) 161.156 + 410.619i 0.00944009 + 0.0240529i
\(664\) −4807.66 + 1482.97i −0.280984 + 0.0866720i
\(665\) 27411.1 25433.8i 1.59843 1.48313i
\(666\) 1097.55 1376.28i 0.0638575 0.0800748i
\(667\) 2565.97 3217.62i 0.148958 0.186787i
\(668\) −19842.1 + 18410.8i −1.14927 + 1.06637i
\(669\) 11127.2 3432.27i 0.643050 0.198355i
\(670\) 1902.29 + 4846.95i 0.109689 + 0.279484i
\(671\) 8432.07 5748.89i 0.485121 0.330750i
\(672\) 10107.5 + 4867.49i 0.580214 + 0.279416i
\(673\) −2026.56 1880.38i −0.116075 0.107702i 0.620000 0.784602i \(-0.287132\pi\)
−0.736075 + 0.676900i \(0.763323\pi\)
\(674\) 2058.84 310.320i 0.117661 0.0177345i
\(675\) −2067.08 + 27583.2i −0.117869 + 1.57286i
\(676\) 6255.48 15938.7i 0.355910 0.906844i
\(677\) 3447.29 + 15103.5i 0.195702 + 0.857425i 0.973459 + 0.228860i \(0.0734999\pi\)
−0.777758 + 0.628564i \(0.783643\pi\)
\(678\) 37.3069 + 497.826i 0.00211322 + 0.0281990i
\(679\) 15043.4 + 4640.27i 0.850239 + 0.262264i
\(680\) −8539.72 + 4112.51i −0.481593 + 0.231923i
\(681\) −169.071 + 292.840i −0.00951369 + 0.0164782i
\(682\) −378.975 656.404i −0.0212781 0.0368548i
\(683\) 28669.9 + 19546.8i 1.60618 + 1.09508i 0.935495 + 0.353340i \(0.114954\pi\)
0.670690 + 0.741738i \(0.265998\pi\)
\(684\) −1331.01 + 5831.53i −0.0744041 + 0.325986i
\(685\) −9578.91 1443.79i −0.534294 0.0805318i
\(686\) −6584.67 8256.92i −0.366478 0.459549i
\(687\) 9936.80 0.551838
\(688\) 13114.1 10367.9i 0.726699 0.574526i
\(689\) −550.965 −0.0304646
\(690\) 629.056 + 788.811i 0.0347069 + 0.0435210i
\(691\) −13654.7 2058.11i −0.751733 0.113306i −0.238011 0.971262i \(-0.576496\pi\)
−0.513722 + 0.857957i \(0.671734\pi\)
\(692\) −4150.74 + 18185.6i −0.228017 + 0.999006i
\(693\) −17601.7 12000.6i −0.964840 0.657817i
\(694\) 1268.15 + 2196.50i 0.0693636 + 0.120141i
\(695\) −5347.79 + 9262.64i −0.291875 + 0.505542i
\(696\) 2795.05 1346.03i 0.152222 0.0733061i
\(697\) 9823.43 + 3030.13i 0.533844 + 0.164669i
\(698\) 39.0493 + 521.077i 0.00211753 + 0.0282565i
\(699\) −4522.28 19813.4i −0.244704 1.07212i
\(700\) 19293.4 49158.8i 1.04175 2.65433i
\(701\) 2212.07 29518.0i 0.119185 1.59041i −0.542125 0.840298i \(-0.682380\pi\)
0.661310 0.750113i \(-0.270001\pi\)
\(702\) −101.921 + 15.3621i −0.00547971 + 0.000825933i
\(703\) 12767.4 + 11846.4i 0.684968 + 0.635557i
\(704\) −17413.6 8385.94i −0.932243 0.448945i
\(705\) 3574.60 2437.12i 0.190961 0.130195i
\(706\) 976.922 + 2489.16i 0.0520778 + 0.132692i
\(707\) −22011.3 + 6789.58i −1.17089 + 0.361172i
\(708\) 1224.60 1136.26i 0.0650044 0.0603153i
\(709\) −22631.2 + 28378.6i −1.19877 + 1.50322i −0.384106 + 0.923289i \(0.625490\pi\)
−0.814669 + 0.579927i \(0.803081\pi\)
\(710\) 3167.08 3971.40i 0.167406 0.209921i
\(711\) −3198.12 + 2967.43i −0.168691 + 0.156522i
\(712\) 5687.24 1754.28i 0.299351 0.0923377i
\(713\) −488.230 1243.99i −0.0256443 0.0653405i
\(714\) 3820.40 2604.70i 0.200245 0.136525i
\(715\) −1087.34 523.636i −0.0568731 0.0273886i
\(716\) −2110.07 1957.86i −0.110136 0.102191i
\(717\) −9931.34 + 1496.91i −0.517284 + 0.0779680i
\(718\) 263.358 3514.27i 0.0136886 0.182662i
\(719\) −8125.91 + 20704.5i −0.421481 + 1.07392i 0.549655 + 0.835392i \(0.314759\pi\)
−0.971136 + 0.238525i \(0.923336\pi\)
\(720\) 3066.45 + 13435.0i 0.158722 + 0.695407i
\(721\) −2492.19 33256.0i −0.128730 1.71778i
\(722\) −1481.29 456.916i −0.0763542 0.0235522i
\(723\) −7559.09 + 3640.27i −0.388832 + 0.187252i
\(724\) −14470.8 + 25064.2i −0.742823 + 1.28661i
\(725\) −10998.4 19049.8i −0.563408 0.975852i
\(726\) 847.187 + 577.602i 0.0433086 + 0.0295273i
\(727\) 4145.10 18160.8i 0.211462 0.926477i −0.752112 0.659035i \(-0.770965\pi\)
0.963574 0.267441i \(-0.0861781\pi\)
\(728\) 394.110 + 59.4026i 0.0200641 + 0.00302418i
\(729\) 10974.0 + 13760.9i 0.557535 + 0.699127i
\(730\) 416.105 0.0210969
\(731\) −3126.62 21354.5i −0.158198 1.08047i
\(732\) 6696.81 0.338144
\(733\) 12728.1 + 15960.5i 0.641368 + 0.804250i 0.991173 0.132572i \(-0.0423237\pi\)
−0.349805 + 0.936822i \(0.613752\pi\)
\(734\) −3604.55 543.298i −0.181262 0.0273208i
\(735\) −14452.0 + 63318.5i −0.725267 + 3.17760i
\(736\) 2365.72 + 1612.92i 0.118481 + 0.0807787i
\(737\) 14675.1 + 25417.9i 0.733463 + 1.27040i
\(738\) −394.310 + 682.965i −0.0196677 + 0.0340654i
\(739\) 2123.77 1022.76i 0.105716 0.0509102i −0.380278 0.924872i \(-0.624172\pi\)
0.485994 + 0.873962i \(0.338458\pi\)
\(740\) 39367.4 + 12143.2i 1.95564 + 0.603235i
\(741\) −25.0200 333.868i −0.00124039 0.0165519i
\(742\) 1285.14 + 5630.56i 0.0635834 + 0.278577i
\(743\) 3517.69 8962.92i 0.173690 0.442554i −0.817347 0.576146i \(-0.804556\pi\)
0.991036 + 0.133592i \(0.0426512\pi\)
\(744\) 75.2801 1004.54i 0.00370955 0.0495005i
\(745\) −49786.0 + 7504.03i −2.44834 + 0.369029i
\(746\) 3496.05 + 3243.86i 0.171581 + 0.159204i
\(747\) 8508.19 + 4097.33i 0.416731 + 0.200687i
\(748\) −21795.5 + 14859.9i −1.06540 + 0.726379i
\(749\) −27579.0 70270.2i −1.34541 3.42806i
\(750\) 1675.32 516.767i 0.0815653 0.0251596i
\(751\) −13817.1 + 12820.4i −0.671362 + 0.622933i −0.940349 0.340211i \(-0.889502\pi\)
0.268987 + 0.963144i \(0.413311\pi\)
\(752\) 2443.96 3064.63i 0.118514 0.148611i
\(753\) −14337.0 + 17978.0i −0.693851 + 0.870062i
\(754\) 60.0862 55.7518i 0.00290214 0.00269279i
\(755\) 46400.8 14312.8i 2.23669 0.689927i
\(756\) −15556.5 39637.3i −0.748392 1.90687i
\(757\) 8615.42 5873.90i