Properties

Label 177.4.f.a.2.17
Level $177$
Weight $4$
Character 177.2
Analytic conductor $10.443$
Analytic rank $0$
Dimension $1624$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(1624\)
Relative dimension: \(58\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 2.17
Character \(\chi\) \(=\) 177.2
Dual form 177.4.f.a.89.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.150879 + 2.78279i) q^{2} +(-4.15765 + 3.11672i) q^{3} +(0.231945 + 0.0252256i) q^{4} +(4.42533 - 13.1339i) q^{5} +(-8.04587 - 12.0401i) q^{6} +(-0.713636 - 1.05253i) q^{7} +(-3.71213 + 22.6430i) q^{8} +(7.57215 - 25.9165i) q^{9} +O(q^{10})\) \(q+(-0.150879 + 2.78279i) q^{2} +(-4.15765 + 3.11672i) q^{3} +(0.231945 + 0.0252256i) q^{4} +(4.42533 - 13.1339i) q^{5} +(-8.04587 - 12.0401i) q^{6} +(-0.713636 - 1.05253i) q^{7} +(-3.71213 + 22.6430i) q^{8} +(7.57215 - 25.9165i) q^{9} +(35.8813 + 14.2964i) q^{10} +(30.4374 - 6.69977i) q^{11} +(-1.04297 + 0.618029i) q^{12} +(39.4789 - 33.5337i) q^{13} +(3.03666 - 1.82710i) q^{14} +(22.5357 + 68.3988i) q^{15} +(-60.6277 - 13.3452i) q^{16} +(83.0034 + 56.2777i) q^{17} +(70.9776 + 24.9819i) q^{18} +(48.6265 - 91.7193i) q^{19} +(1.35775 - 2.93472i) q^{20} +(6.24751 + 2.15187i) q^{21} +(14.0517 + 85.7117i) q^{22} +(-128.540 + 121.760i) q^{23} +(-55.1380 - 105.711i) q^{24} +(-53.4047 - 40.5972i) q^{25} +(87.3607 + 114.921i) q^{26} +(49.2919 + 131.352i) q^{27} +(-0.138974 - 0.262132i) q^{28} +(162.239 - 8.79632i) q^{29} +(-193.740 + 52.3923i) q^{30} +(-283.306 + 150.199i) q^{31} +(-2.82380 + 10.1704i) q^{32} +(-105.667 + 122.720i) q^{33} +(-169.132 + 222.490i) q^{34} +(-16.9820 + 4.71503i) q^{35} +(2.41008 - 5.82019i) q^{36} +(264.192 - 43.3122i) q^{37} +(247.899 + 149.156i) q^{38} +(-59.6246 + 262.466i) q^{39} +(280.964 + 148.957i) q^{40} +(-144.681 + 152.738i) q^{41} +(-6.93082 + 17.0608i) q^{42} +(101.490 - 461.075i) q^{43} +(7.22881 - 0.786180i) q^{44} +(-306.875 - 214.141i) q^{45} +(-319.437 - 376.071i) q^{46} +(353.055 - 118.958i) q^{47} +(293.662 - 133.475i) q^{48} +(126.359 - 317.137i) q^{49} +(121.031 - 142.489i) q^{50} +(-520.501 + 24.7150i) q^{51} +(10.0029 - 6.78211i) q^{52} +(190.842 - 76.0383i) q^{53} +(-372.962 + 117.351i) q^{54} +(46.7012 - 429.411i) q^{55} +(26.4816 - 12.2517i) q^{56} +(83.6911 + 532.892i) q^{57} +452.803i q^{58} +(-69.5074 + 447.826i) q^{59} +(3.50166 + 16.4333i) q^{60} +(804.462 + 43.6167i) q^{61} +(-375.229 - 811.043i) q^{62} +(-32.6817 + 10.5250i) q^{63} +(-498.511 - 167.968i) q^{64} +(-265.722 - 666.911i) q^{65} +(-325.561 - 312.564i) q^{66} +(-96.4563 - 15.8132i) q^{67} +(17.8326 + 15.1472i) q^{68} +(154.935 - 906.857i) q^{69} +(-10.5587 - 47.9687i) q^{70} +(73.5306 + 218.231i) q^{71} +(558.717 + 267.661i) q^{72} +(328.382 + 545.775i) q^{73} +(80.6677 + 741.727i) q^{74} +(348.568 + 2.34167i) q^{75} +(13.5924 - 20.0472i) q^{76} +(-28.7730 - 27.2552i) q^{77} +(-721.392 - 205.523i) q^{78} +(-473.332 - 218.987i) q^{79} +(-443.572 + 737.223i) q^{80} +(-614.325 - 392.486i) q^{81} +(-403.209 - 425.663i) q^{82} +(48.0293 + 172.986i) q^{83} +(1.39480 + 0.656713i) q^{84} +(1106.46 - 841.113i) q^{85} +(1267.76 + 351.993i) q^{86} +(-647.116 + 542.224i) q^{87} +(38.7154 + 714.063i) q^{88} +(-47.6064 - 878.048i) q^{89} +(642.210 - 821.661i) q^{90} +(-63.4690 - 17.6221i) q^{91} +(-32.8857 + 24.9991i) q^{92} +(709.759 - 1507.46i) q^{93} +(277.767 + 1000.43i) q^{94} +(-989.445 - 1044.54i) q^{95} +(-19.9579 - 51.0860i) q^{96} +(-520.880 + 865.709i) q^{97} +(863.460 + 399.479i) q^{98} +(56.8418 - 839.560i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1624q - 21q^{3} - 278q^{4} - 29q^{6} - 42q^{7} - 25q^{9} + O(q^{10}) \) \( 1624q - 21q^{3} - 278q^{4} - 29q^{6} - 42q^{7} - 25q^{9} - 58q^{10} - 57q^{12} - 58q^{13} - 11q^{15} - 926q^{16} - 29q^{18} + 126q^{19} + 159q^{21} + 2q^{22} - 29q^{24} + 656q^{25} - 99q^{27} - 54q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 859q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} + 1703q^{45} + 602q^{46} + 9507q^{48} - 1192q^{49} + 1511q^{51} - 58q^{52} - 7743q^{54} - 58q^{55} - 7441q^{57} - 18722q^{60} - 58q^{61} - 3251q^{63} - 4634q^{64} - 1751q^{66} - 58q^{67} + 6003q^{69} - 58q^{70} + 21547q^{72} - 58q^{73} + 3869q^{75} + 5622q^{76} - 3253q^{78} + 1446q^{79} + 247q^{81} - 58q^{82} + 3303q^{84} + 790q^{85} - 2199q^{87} - 5818q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 946q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{58}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.150879 + 2.78279i −0.0533436 + 0.983865i 0.842277 + 0.539046i \(0.181215\pi\)
−0.895620 + 0.444819i \(0.853268\pi\)
\(3\) −4.15765 + 3.11672i −0.800141 + 0.599813i
\(4\) 0.231945 + 0.0252256i 0.0289932 + 0.00315320i
\(5\) 4.42533 13.1339i 0.395814 1.17473i −0.545764 0.837939i \(-0.683761\pi\)
0.941578 0.336795i \(-0.109343\pi\)
\(6\) −8.04587 12.0401i −0.547452 0.819226i
\(7\) −0.713636 1.05253i −0.0385327 0.0568315i 0.807935 0.589272i \(-0.200585\pi\)
−0.846467 + 0.532440i \(0.821275\pi\)
\(8\) −3.71213 + 22.6430i −0.164054 + 1.00069i
\(9\) 7.57215 25.9165i 0.280450 0.959869i
\(10\) 35.8813 + 14.2964i 1.13467 + 0.452092i
\(11\) 30.4374 6.69977i 0.834292 0.183642i 0.222772 0.974871i \(-0.428489\pi\)
0.611520 + 0.791229i \(0.290558\pi\)
\(12\) −1.04297 + 0.618029i −0.0250899 + 0.0148675i
\(13\) 39.4789 33.5337i 0.842268 0.715429i −0.118449 0.992960i \(-0.537792\pi\)
0.960717 + 0.277531i \(0.0895162\pi\)
\(14\) 3.03666 1.82710i 0.0579700 0.0348794i
\(15\) 22.5357 + 68.3988i 0.387913 + 1.17737i
\(16\) −60.6277 13.3452i −0.947308 0.208518i
\(17\) 83.0034 + 56.2777i 1.18419 + 0.802903i 0.984229 0.176900i \(-0.0566070\pi\)
0.199964 + 0.979803i \(0.435917\pi\)
\(18\) 70.9776 + 24.9819i 0.929421 + 0.327128i
\(19\) 48.6265 91.7193i 0.587141 1.10747i −0.394887 0.918730i \(-0.629216\pi\)
0.982028 0.188736i \(-0.0604390\pi\)
\(20\) 1.35775 2.93472i 0.0151801 0.0328112i
\(21\) 6.24751 + 2.15187i 0.0649199 + 0.0223608i
\(22\) 14.0517 + 85.7117i 0.136174 + 0.830627i
\(23\) −128.540 + 121.760i −1.16532 + 1.10385i −0.172409 + 0.985025i \(0.555155\pi\)
−0.992915 + 0.118828i \(0.962086\pi\)
\(24\) −55.1380 105.711i −0.468958 0.899092i
\(25\) −53.4047 40.5972i −0.427238 0.324778i
\(26\) 87.3607 + 114.921i 0.658956 + 0.866841i
\(27\) 49.2919 + 131.352i 0.351342 + 0.936247i
\(28\) −0.138974 0.262132i −0.000937985 0.00176923i
\(29\) 162.239 8.79632i 1.03886 0.0563253i 0.473193 0.880959i \(-0.343101\pi\)
0.565667 + 0.824634i \(0.308619\pi\)
\(30\) −193.740 + 52.3923i −1.17906 + 0.318849i
\(31\) −283.306 + 150.199i −1.64140 + 0.870213i −0.647237 + 0.762289i \(0.724076\pi\)
−0.994159 + 0.107924i \(0.965580\pi\)
\(32\) −2.82380 + 10.1704i −0.0155994 + 0.0561841i
\(33\) −105.667 + 122.720i −0.557400 + 0.647358i
\(34\) −169.132 + 222.490i −0.853117 + 1.12226i
\(35\) −16.9820 + 4.71503i −0.0820137 + 0.0227710i
\(36\) 2.41008 5.82019i 0.0111578 0.0269453i
\(37\) 264.192 43.3122i 1.17386 0.192445i 0.456876 0.889530i \(-0.348968\pi\)
0.716988 + 0.697085i \(0.245520\pi\)
\(38\) 247.899 + 149.156i 1.05828 + 0.636744i
\(39\) −59.6246 + 262.466i −0.244810 + 1.07765i
\(40\) 280.964 + 148.957i 1.11061 + 0.588806i
\(41\) −144.681 + 152.738i −0.551108 + 0.581798i −0.940721 0.339181i \(-0.889850\pi\)
0.389613 + 0.920979i \(0.372609\pi\)
\(42\) −6.93082 + 17.0608i −0.0254631 + 0.0626796i
\(43\) 101.490 461.075i 0.359933 1.63519i −0.354190 0.935174i \(-0.615243\pi\)
0.714123 0.700020i \(-0.246826\pi\)
\(44\) 7.22881 0.786180i 0.0247678 0.00269366i
\(45\) −306.875 214.141i −1.01658 0.709383i
\(46\) −319.437 376.071i −1.02388 1.20540i
\(47\) 353.055 118.958i 1.09571 0.369188i 0.287320 0.957835i \(-0.407236\pi\)
0.808390 + 0.588647i \(0.200339\pi\)
\(48\) 293.662 133.475i 0.883051 0.401363i
\(49\) 126.359 317.137i 0.368393 0.924597i
\(50\) 121.031 142.489i 0.342328 0.403019i
\(51\) −520.501 + 24.7150i −1.42911 + 0.0678587i
\(52\) 10.0029 6.78211i 0.0266759 0.0180867i
\(53\) 190.842 76.0383i 0.494606 0.197069i −0.109478 0.993989i \(-0.534918\pi\)
0.604085 + 0.796920i \(0.293539\pi\)
\(54\) −372.962 + 117.351i −0.939883 + 0.295730i
\(55\) 46.7012 429.411i 0.114494 1.05276i
\(56\) 26.4816 12.2517i 0.0631921 0.0292358i
\(57\) 83.6911 + 532.892i 0.194476 + 1.23830i
\(58\) 452.803i 1.02510i
\(59\) −69.5074 + 447.826i −0.153374 + 0.988168i
\(60\) 3.50166 + 16.4333i 0.00753437 + 0.0353587i
\(61\) 804.462 + 43.6167i 1.68854 + 0.0915499i 0.873177 0.487403i \(-0.162056\pi\)
0.815361 + 0.578953i \(0.196539\pi\)
\(62\) −375.229 811.043i −0.768614 1.66133i
\(63\) −32.6817 + 10.5250i −0.0653573 + 0.0210480i
\(64\) −498.511 167.968i −0.973655 0.328063i
\(65\) −265.722 666.911i −0.507057 1.27262i
\(66\) −325.561 312.564i −0.607179 0.582939i
\(67\) −96.4563 15.8132i −0.175881 0.0288342i 0.0731980 0.997317i \(-0.476680\pi\)
−0.249079 + 0.968483i \(0.580128\pi\)
\(68\) 17.8326 + 15.1472i 0.0318018 + 0.0270127i
\(69\) 154.935 906.857i 0.270318 1.58221i
\(70\) −10.5587 47.9687i −0.0180287 0.0819051i
\(71\) 73.5306 + 218.231i 0.122908 + 0.364778i 0.991390 0.130943i \(-0.0418004\pi\)
−0.868482 + 0.495721i \(0.834904\pi\)
\(72\) 558.717 + 267.661i 0.914519 + 0.438113i
\(73\) 328.382 + 545.775i 0.526496 + 0.875043i 0.999983 0.00575726i \(-0.00183260\pi\)
−0.473487 + 0.880801i \(0.657005\pi\)
\(74\) 80.6677 + 741.727i 0.126722 + 1.16519i
\(75\) 348.568 + 2.34167i 0.536656 + 0.00360524i
\(76\) 13.5924 20.0472i 0.0205151 0.0302576i
\(77\) −28.7730 27.2552i −0.0425842 0.0403379i
\(78\) −721.392 205.523i −1.04720 0.298345i
\(79\) −473.332 218.987i −0.674102 0.311873i 0.0528089 0.998605i \(-0.483183\pi\)
−0.726911 + 0.686732i \(0.759045\pi\)
\(80\) −443.572 + 737.223i −0.619911 + 1.03030i
\(81\) −614.325 392.486i −0.842696 0.538390i
\(82\) −403.209 425.663i −0.543012 0.573251i
\(83\) 48.0293 + 172.986i 0.0635169 + 0.228767i 0.988495 0.151253i \(-0.0483308\pi\)
−0.924978 + 0.380020i \(0.875917\pi\)
\(84\) 1.39480 + 0.656713i 0.00181172 + 0.000853016i
\(85\) 1106.46 841.113i 1.41192 1.07331i
\(86\) 1267.76 + 351.993i 1.58961 + 0.441353i
\(87\) −647.116 + 542.224i −0.797449 + 0.668189i
\(88\) 38.7154 + 714.063i 0.0468985 + 0.864992i
\(89\) −47.6064 878.048i −0.0566997 1.04576i −0.879034 0.476759i \(-0.841811\pi\)
0.822334 0.569005i \(-0.192671\pi\)
\(90\) 642.210 821.661i 0.752166 0.962341i
\(91\) −63.4690 17.6221i −0.0731138 0.0203000i
\(92\) −32.8857 + 24.9991i −0.0372671 + 0.0283297i
\(93\) 709.759 1507.46i 0.791383 1.68082i
\(94\) 277.767 + 1000.43i 0.304782 + 1.09772i
\(95\) −989.445 1044.54i −1.06858 1.12808i
\(96\) −19.9579 51.0860i −0.0212182 0.0543119i
\(97\) −520.880 + 865.709i −0.545230 + 0.906180i 0.454650 + 0.890670i \(0.349765\pi\)
−0.999880 + 0.0155092i \(0.995063\pi\)
\(98\) 863.460 + 399.479i 0.890027 + 0.411770i
\(99\) 56.8418 839.560i 0.0577053 0.852313i
\(100\) −11.3629 10.7635i −0.0113629 0.0107635i
\(101\) 151.540 223.504i 0.149295 0.220193i −0.745687 0.666297i \(-0.767878\pi\)
0.894981 + 0.446104i \(0.147189\pi\)
\(102\) 9.75568 1452.17i 0.00947016 1.40967i
\(103\) 81.1872 + 746.504i 0.0776661 + 0.714128i 0.966634 + 0.256160i \(0.0824573\pi\)
−0.888968 + 0.457969i \(0.848577\pi\)
\(104\) 612.752 + 1018.40i 0.577743 + 0.960216i
\(105\) 55.9098 72.5315i 0.0519642 0.0674129i
\(106\) 182.805 + 542.545i 0.167505 + 0.497138i
\(107\) −131.705 598.342i −0.118994 0.540597i −0.997967 0.0637256i \(-0.979702\pi\)
0.878973 0.476871i \(-0.158229\pi\)
\(108\) 8.11960 + 31.7099i 0.00723434 + 0.0282526i
\(109\) −1603.79 1362.27i −1.40931 1.19708i −0.951352 0.308105i \(-0.900305\pi\)
−0.457958 0.888974i \(-0.651419\pi\)
\(110\) 1187.91 + 194.749i 1.02966 + 0.168805i
\(111\) −963.429 + 1003.49i −0.823825 + 0.858082i
\(112\) 29.2199 + 73.3363i 0.0246519 + 0.0618717i
\(113\) −739.321 249.106i −0.615482 0.207380i −0.00574446 0.999984i \(-0.501829\pi\)
−0.609737 + 0.792604i \(0.708725\pi\)
\(114\) −1495.55 + 152.493i −1.22870 + 0.125283i
\(115\) 1030.35 + 2227.06i 0.835482 + 1.80587i
\(116\) 37.8524 + 2.05230i 0.0302974 + 0.00164268i
\(117\) −570.134 1277.08i −0.450504 1.00911i
\(118\) −1235.72 260.992i −0.964043 0.203612i
\(119\) 127.526i 0.0982376i
\(120\) −1632.41 + 256.371i −1.24181 + 0.195028i
\(121\) −326.437 + 151.026i −0.245257 + 0.113468i
\(122\) −242.752 + 2232.07i −0.180145 + 1.65641i
\(123\) 125.493 1085.96i 0.0919944 0.796082i
\(124\) −69.5004 + 27.6915i −0.0503332 + 0.0200546i
\(125\) 664.377 450.459i 0.475389 0.322322i
\(126\) −24.3578 92.5344i −0.0172220 0.0654256i
\(127\) 79.6453 93.7657i 0.0556486 0.0655146i −0.733633 0.679545i \(-0.762177\pi\)
0.789282 + 0.614031i \(0.210453\pi\)
\(128\) 511.380 1283.47i 0.353125 0.886277i
\(129\) 1015.08 + 2233.31i 0.692813 + 1.52428i
\(130\) 1895.96 638.825i 1.27913 0.430990i
\(131\) −768.641 904.914i −0.512645 0.603532i 0.443555 0.896247i \(-0.353717\pi\)
−0.956200 + 0.292715i \(0.905441\pi\)
\(132\) −27.6046 + 25.7988i −0.0182020 + 0.0170114i
\(133\) −131.239 + 14.2731i −0.0855631 + 0.00930555i
\(134\) 58.5580 266.032i 0.0377511 0.171505i
\(135\) 1943.30 66.1205i 1.23891 0.0421537i
\(136\) −1582.41 + 1670.53i −0.997727 + 1.05329i
\(137\) −1429.87 758.067i −0.891691 0.472745i −0.0414515 0.999141i \(-0.513198\pi\)
−0.850240 + 0.526396i \(0.823543\pi\)
\(138\) 2500.22 + 567.976i 1.54226 + 0.350357i
\(139\) −1282.23 771.491i −0.782425 0.470770i 0.0674700 0.997721i \(-0.478507\pi\)
−0.849895 + 0.526952i \(0.823335\pi\)
\(140\) −4.05783 + 0.665248i −0.00244964 + 0.000401598i
\(141\) −1097.12 + 1594.96i −0.655278 + 0.952622i
\(142\) −618.386 + 171.694i −0.365449 + 0.101466i
\(143\) 976.966 1285.18i 0.571315 0.751552i
\(144\) −804.941 + 1470.20i −0.465822 + 0.850812i
\(145\) 602.429 2169.75i 0.345028 1.24268i
\(146\) −1568.32 + 831.473i −0.889010 + 0.471323i
\(147\) 463.070 + 1712.37i 0.259819 + 0.960774i
\(148\) 62.3708 3.38165i 0.0346409 0.00187817i
\(149\) 875.844 + 1652.02i 0.481557 + 0.908312i 0.998628 + 0.0523697i \(0.0166774\pi\)
−0.517071 + 0.855942i \(0.672978\pi\)
\(150\) −59.1078 + 969.639i −0.0321742 + 0.527805i
\(151\) −229.595 302.028i −0.123736 0.162773i 0.730054 0.683390i \(-0.239495\pi\)
−0.853790 + 0.520617i \(0.825702\pi\)
\(152\) 1896.29 + 1441.52i 1.01190 + 0.769229i
\(153\) 2087.03 1725.01i 1.10279 0.911496i
\(154\) 80.1867 75.9569i 0.0419586 0.0397453i
\(155\) 718.983 + 4385.60i 0.372581 + 2.27265i
\(156\) −20.4505 + 59.3737i −0.0104958 + 0.0304724i
\(157\) −560.648 + 1211.82i −0.284997 + 0.616012i −0.996211 0.0869638i \(-0.972284\pi\)
0.711214 + 0.702975i \(0.248146\pi\)
\(158\) 680.810 1284.14i 0.342800 0.646589i
\(159\) −556.464 + 910.941i −0.277550 + 0.454354i
\(160\) 121.081 + 82.0950i 0.0598269 + 0.0405636i
\(161\) 219.887 + 48.4008i 0.107637 + 0.0236927i
\(162\) 1184.90 1650.32i 0.574656 0.800379i
\(163\) 282.558 170.009i 0.135777 0.0816943i −0.446045 0.895011i \(-0.647168\pi\)
0.581822 + 0.813316i \(0.302340\pi\)
\(164\) −37.4111 + 31.7773i −0.0178129 + 0.0151304i
\(165\) 1144.18 + 1930.89i 0.539846 + 0.911030i
\(166\) −488.631 + 107.556i −0.228464 + 0.0502888i
\(167\) 1472.13 + 586.549i 0.682135 + 0.271788i 0.685357 0.728207i \(-0.259646\pi\)
−0.00322160 + 0.999995i \(0.501025\pi\)
\(168\) −71.9163 + 133.474i −0.0330266 + 0.0612961i
\(169\) 78.6413 479.691i 0.0357948 0.218339i
\(170\) 2173.70 + 3205.97i 0.980677 + 1.44639i
\(171\) −2008.83 1954.74i −0.898358 0.874167i
\(172\) 35.1711 104.384i 0.0155917 0.0462745i
\(173\) −3548.25 385.896i −1.55936 0.169590i −0.712600 0.701571i \(-0.752482\pi\)
−0.846757 + 0.531980i \(0.821448\pi\)
\(174\) −1411.26 1882.60i −0.614869 0.820226i
\(175\) −4.61843 + 85.1819i −0.00199497 + 0.0367951i
\(176\) −1934.76 −0.828624
\(177\) −1106.76 2078.54i −0.469995 0.882669i
\(178\) 2450.61 1.03191
\(179\) −160.537 + 2960.94i −0.0670343 + 1.23637i 0.750647 + 0.660703i \(0.229742\pi\)
−0.817681 + 0.575671i \(0.804741\pi\)
\(180\) −65.7765 57.4101i −0.0272372 0.0237728i
\(181\) −462.838 50.3366i −0.190069 0.0206712i 0.0125895 0.999921i \(-0.495993\pi\)
−0.202658 + 0.979250i \(0.564958\pi\)
\(182\) 58.6146 173.962i 0.0238726 0.0708512i
\(183\) −3480.61 + 2325.94i −1.40598 + 0.939553i
\(184\) −2279.84 3362.51i −0.913436 1.34722i
\(185\) 600.281 3661.55i 0.238560 1.45515i
\(186\) 4087.86 + 2202.55i 1.61149 + 0.868275i
\(187\) 2903.45 + 1156.84i 1.13541 + 0.452388i
\(188\) 84.8902 18.6857i 0.0329322 0.00724893i
\(189\) 103.076 145.619i 0.0396702 0.0560435i
\(190\) 3056.04 2595.82i 1.16688 0.991161i
\(191\) 49.1308 29.5610i 0.0186125 0.0111987i −0.506217 0.862406i \(-0.668957\pi\)
0.524830 + 0.851207i \(0.324129\pi\)
\(192\) 2596.15 855.366i 0.975837 0.321514i
\(193\) 1.91961 + 0.422537i 0.000715939 + 0.000157590i 0.215328 0.976542i \(-0.430918\pi\)
−0.214612 + 0.976699i \(0.568849\pi\)
\(194\) −2330.50 1580.12i −0.862474 0.584772i
\(195\) 3183.35 + 1944.60i 1.16905 + 0.714133i
\(196\) 37.3083 70.3709i 0.0135963 0.0256454i
\(197\) 182.087 393.575i 0.0658536 0.142340i −0.871854 0.489766i \(-0.837082\pi\)
0.937707 + 0.347426i \(0.112944\pi\)
\(198\) 2327.74 + 284.851i 0.835483 + 0.102240i
\(199\) 72.9635 + 445.058i 0.0259912 + 0.158539i 0.996633 0.0819896i \(-0.0261274\pi\)
−0.970642 + 0.240529i \(0.922679\pi\)
\(200\) 1117.49 1058.54i 0.395091 0.374250i
\(201\) 450.317 234.881i 0.158024 0.0824241i
\(202\) 599.101 + 455.425i 0.208676 + 0.158632i
\(203\) −125.038 164.484i −0.0432312 0.0568696i
\(204\) −121.351 7.39740i −0.0416485 0.00253883i
\(205\) 1365.79 + 2576.15i 0.465321 + 0.877689i
\(206\) −2089.61 + 113.296i −0.706749 + 0.0383188i
\(207\) 2182.25 + 4253.28i 0.732739 + 1.42813i
\(208\) −2841.03 + 1506.22i −0.947067 + 0.502103i
\(209\) 865.564 3117.48i 0.286470 1.03177i
\(210\) 193.404 + 166.529i 0.0635532 + 0.0547218i
\(211\) −454.458 + 597.829i −0.148276 + 0.195053i −0.864234 0.503089i \(-0.832197\pi\)
0.715959 + 0.698142i \(0.245990\pi\)
\(212\) 46.1830 12.8226i 0.0149616 0.00415407i
\(213\) −985.879 678.155i −0.317142 0.218152i
\(214\) 1684.93 276.230i 0.538222 0.0882370i
\(215\) −5606.60 3373.38i −1.77845 1.07006i
\(216\) −3157.17 + 628.521i −0.994530 + 0.197988i
\(217\) 360.268 + 191.002i 0.112703 + 0.0597514i
\(218\) 4032.88 4257.46i 1.25294 1.32271i
\(219\) −3066.33 1245.67i −0.946133 0.384359i
\(220\) 21.6643 98.4217i 0.00663911 0.0301618i
\(221\) 5164.08 561.628i 1.57183 0.170947i
\(222\) −2647.14 2832.43i −0.800291 0.856306i
\(223\) −1456.99 1715.30i −0.437521 0.515089i 0.498569 0.866850i \(-0.333859\pi\)
−0.936090 + 0.351761i \(0.885583\pi\)
\(224\) 12.7199 4.28582i 0.00379412 0.00127839i
\(225\) −1456.52 + 1076.65i −0.431563 + 0.319008i
\(226\) 804.758 2019.79i 0.236866 0.594489i
\(227\) −2733.96 + 3218.66i −0.799379 + 0.941102i −0.999250 0.0387201i \(-0.987672\pi\)
0.199871 + 0.979822i \(0.435948\pi\)
\(228\) 5.96925 + 125.713i 0.00173387 + 0.0365155i
\(229\) −3475.79 + 2356.65i −1.00300 + 0.680050i −0.947945 0.318433i \(-0.896843\pi\)
−0.0550538 + 0.998483i \(0.517533\pi\)
\(230\) −6352.90 + 2531.23i −1.82130 + 0.725670i
\(231\) 204.575 + 23.6404i 0.0582685 + 0.00673345i
\(232\) −403.075 + 3706.21i −0.114065 + 1.04881i
\(233\) −2302.02 + 1065.03i −0.647254 + 0.299451i −0.715914 0.698189i \(-0.753990\pi\)
0.0686602 + 0.997640i \(0.478128\pi\)
\(234\) 3639.86 1393.88i 1.01686 0.389405i
\(235\) 5163.42i 1.43330i
\(236\) −27.4186 + 102.118i −0.00756270 + 0.0281665i
\(237\) 2650.47 564.772i 0.726441 0.154793i
\(238\) 354.878 + 19.2409i 0.0966525 + 0.00524035i
\(239\) −762.051 1647.15i −0.206247 0.445795i 0.776655 0.629926i \(-0.216915\pi\)
−0.982902 + 0.184131i \(0.941053\pi\)
\(240\) −453.496 4447.60i −0.121971 1.19621i
\(241\) 3142.85 + 1058.95i 0.840036 + 0.283041i 0.706244 0.707968i \(-0.250388\pi\)
0.133792 + 0.991009i \(0.457285\pi\)
\(242\) −371.021 931.191i −0.0985542 0.247352i
\(243\) 3777.42 282.856i 0.997208 0.0746718i
\(244\) 185.491 + 30.4097i 0.0486674 + 0.00797861i
\(245\) −3606.07 3063.02i −0.940340 0.798732i
\(246\) 3003.08 + 513.069i 0.778330 + 0.132976i
\(247\) −1155.97 5251.60i −0.297783 1.35284i
\(248\) −2349.29 6972.45i −0.601533 1.78529i
\(249\) −738.838 569.522i −0.188040 0.144948i
\(250\) 1153.29 + 1916.79i 0.291762 + 0.484913i
\(251\) −202.224 1859.42i −0.0508537 0.467592i −0.991682 0.128709i \(-0.958917\pi\)
0.940829 0.338883i \(-0.110049\pi\)
\(252\) −7.84587 + 1.61680i −0.00196128 + 0.000404163i
\(253\) −3096.66 + 4567.23i −0.769507 + 1.13494i
\(254\) 248.913 + 235.783i 0.0614891 + 0.0582455i
\(255\) −1978.79 + 6945.59i −0.485946 + 1.70569i
\(256\) −324.967 150.346i −0.0793377 0.0367055i
\(257\) −2916.37 + 4847.05i −0.707854 + 1.17646i 0.269121 + 0.963106i \(0.413267\pi\)
−0.976975 + 0.213356i \(0.931561\pi\)
\(258\) −6367.98 + 2487.80i −1.53664 + 0.600324i
\(259\) −234.125 247.163i −0.0561692 0.0592971i
\(260\) −44.8097 161.390i −0.0106884 0.0384960i
\(261\) 1000.52 4271.25i 0.237283 1.01297i
\(262\) 2634.16 2002.44i 0.621141 0.472179i
\(263\) 4759.00 + 1321.33i 1.11579 + 0.309798i 0.776018 0.630710i \(-0.217236\pi\)
0.339772 + 0.940508i \(0.389650\pi\)
\(264\) −2386.50 2848.16i −0.556359 0.663985i
\(265\) −154.143 2843.00i −0.0357318 0.659034i
\(266\) −19.9180 367.365i −0.00459116 0.0846790i
\(267\) 2934.56 + 3502.24i 0.672630 + 0.802749i
\(268\) −21.9737 6.10096i −0.00500842 0.00139058i
\(269\) −2428.83 + 1846.35i −0.550515 + 0.418490i −0.843106 0.537747i \(-0.819276\pi\)
0.292591 + 0.956238i \(0.405482\pi\)
\(270\) −109.203 + 5417.77i −0.0246143 + 1.22117i
\(271\) −733.031 2640.14i −0.164312 0.591797i −0.999147 0.0412971i \(-0.986851\pi\)
0.834835 0.550500i \(-0.185563\pi\)
\(272\) −4281.27 4519.68i −0.954375 1.00752i
\(273\) 318.805 124.548i 0.0706775 0.0276118i
\(274\) 2325.28 3864.64i 0.512683 0.852086i
\(275\) −1897.49 877.872i −0.416084 0.192501i
\(276\) 58.8123 206.433i 0.0128264 0.0450210i
\(277\) −1967.35 1863.57i −0.426738 0.404227i 0.443960 0.896047i \(-0.353573\pi\)
−0.870697 + 0.491819i \(0.836332\pi\)
\(278\) 2340.36 3451.77i 0.504911 0.744688i
\(279\) 1747.40 + 8479.62i 0.374961 + 1.81958i
\(280\) −43.7229 402.025i −0.00933194 0.0858058i
\(281\) −2104.25 3497.30i −0.446723 0.742460i 0.548903 0.835886i \(-0.315046\pi\)
−0.995626 + 0.0934260i \(0.970218\pi\)
\(282\) −4272.90 3293.70i −0.902297 0.695522i
\(283\) −1580.16 4689.76i −0.331911 0.985078i −0.975556 0.219753i \(-0.929475\pi\)
0.643644 0.765325i \(-0.277422\pi\)
\(284\) 11.5501 + 52.4725i 0.00241328 + 0.0109636i
\(285\) 7369.32 + 1259.03i 1.53165 + 0.261679i
\(286\) 3428.98 + 2912.60i 0.708950 + 0.602187i
\(287\) 264.012 + 43.2826i 0.0543002 + 0.00890206i
\(288\) 242.199 + 150.195i 0.0495545 + 0.0307302i
\(289\) 1903.90 + 4778.42i 0.387522 + 0.972607i
\(290\) 5947.08 + 2003.80i 1.20422 + 0.405750i
\(291\) −532.533 5222.75i −0.107277 1.05211i
\(292\) 62.3992 + 134.874i 0.0125056 + 0.0270304i
\(293\) −6961.29 377.430i −1.38800 0.0752550i −0.655073 0.755566i \(-0.727362\pi\)
−0.732924 + 0.680311i \(0.761845\pi\)
\(294\) −4835.03 + 1030.27i −0.959132 + 0.204375i
\(295\) 5574.11 + 2894.68i 1.10013 + 0.571305i
\(296\) 6142.88i 1.20624i
\(297\) 2380.34 + 3667.76i 0.465056 + 0.716582i
\(298\) −4729.36 + 2188.04i −0.919344 + 0.425334i
\(299\) −991.573 + 9117.36i −0.191786 + 1.76345i
\(300\) 80.7897 + 9.33597i 0.0155480 + 0.00179671i
\(301\) −557.725 + 222.218i −0.106800 + 0.0425529i
\(302\) 875.120 593.346i 0.166747 0.113057i
\(303\) 66.5504 + 1401.56i 0.0126179 + 0.265734i
\(304\) −4172.12 + 4911.80i −0.787130 + 0.926681i
\(305\) 4132.87 10372.7i 0.775893 1.94735i
\(306\) 4485.46 + 6068.04i 0.837962 + 1.13362i
\(307\) 6858.64 2310.95i 1.27506 0.429618i 0.401288 0.915952i \(-0.368563\pi\)
0.873773 + 0.486334i \(0.161666\pi\)
\(308\) −5.98622 7.04753i −0.00110746 0.00130380i
\(309\) −2664.19 2850.67i −0.490487 0.524818i
\(310\) −12312.7 + 1339.09i −2.25585 + 0.245339i
\(311\) −107.436 + 488.088i −0.0195889 + 0.0889933i −0.985401 0.170251i \(-0.945542\pi\)
0.965812 + 0.259244i \(0.0834733\pi\)
\(312\) −5721.68 2324.38i −1.03822 0.421770i
\(313\) 901.130 951.311i 0.162731 0.171793i −0.639531 0.768766i \(-0.720871\pi\)
0.802262 + 0.596972i \(0.203630\pi\)
\(314\) −3287.65 1743.00i −0.590869 0.313259i
\(315\) −6.39333 + 475.816i −0.00114357 + 0.0851085i
\(316\) −104.263 62.7331i −0.0185610 0.0111678i
\(317\) 372.566 61.0791i 0.0660107 0.0108219i −0.128686 0.991685i \(-0.541076\pi\)
0.194697 + 0.980863i \(0.437628\pi\)
\(318\) −2451.00 1685.96i −0.432218 0.297309i
\(319\) 4879.18 1354.70i 0.856369 0.237770i
\(320\) −4412.16 + 5804.10i −0.770772 + 1.01393i
\(321\) 2412.45 + 2077.21i 0.419469 + 0.361179i
\(322\) −167.866 + 604.597i −0.0290521 + 0.104636i
\(323\) 9197.91 4876.43i 1.58448 0.840036i
\(324\) −132.589 106.532i −0.0227348 0.0182668i
\(325\) −3469.73 + 188.124i −0.592204 + 0.0321084i
\(326\) 430.469 + 811.950i 0.0731333 + 0.137944i
\(327\) 10913.8 + 665.289i 1.84567 + 0.112509i
\(328\) −2921.37 3843.00i −0.491786 0.646933i
\(329\) −377.160 286.710i −0.0632022 0.0480451i
\(330\) −5545.91 + 2892.69i −0.925128 + 0.482538i
\(331\) 2589.45 2452.86i 0.429998 0.407315i −0.441853 0.897088i \(-0.645679\pi\)
0.871850 + 0.489772i \(0.162920\pi\)
\(332\) 6.77651 + 41.3349i 0.00112021 + 0.00683297i
\(333\) 878.006 7174.90i 0.144488 1.18073i
\(334\) −1854.36 + 4008.12i −0.303790 + 0.656631i
\(335\) −634.541 + 1196.87i −0.103489 + 0.195200i
\(336\) −350.055 213.837i −0.0568365 0.0347195i
\(337\) 9976.18 + 6764.02i 1.61257 + 1.09335i 0.933079 + 0.359671i \(0.117111\pi\)
0.679494 + 0.733681i \(0.262199\pi\)
\(338\) 1323.01 + 291.217i 0.212907 + 0.0468643i
\(339\) 3850.23 1268.56i 0.616861 0.203241i
\(340\) 277.857 167.181i 0.0443203 0.0266666i
\(341\) −7616.79 + 6469.76i −1.20960 + 1.02744i
\(342\) 5742.72 5295.23i 0.907984 0.837232i
\(343\) −849.952 + 187.089i −0.133799 + 0.0294514i
\(344\) 10063.4 + 4009.61i 1.57727 + 0.628441i
\(345\) −11225.0 6048.04i −1.75168 0.943813i
\(346\) 1609.22 9815.82i 0.250036 1.52515i
\(347\) 4613.71 + 6804.72i 0.713767 + 1.05273i 0.995640 + 0.0932760i \(0.0297339\pi\)
−0.281873 + 0.959452i \(0.590956\pi\)
\(348\) −163.773 + 109.442i −0.0252275 + 0.0168584i
\(349\) −219.228 + 650.644i −0.0336246 + 0.0997942i −0.963151 0.268962i \(-0.913320\pi\)
0.929526 + 0.368756i \(0.120216\pi\)
\(350\) −236.347 25.7043i −0.0360950 0.00392557i
\(351\) 6350.70 + 3532.69i 0.965742 + 0.537211i
\(352\) −17.8096 + 328.479i −0.00269675 + 0.0497386i
\(353\) 3249.56 0.489962 0.244981 0.969528i \(-0.421218\pi\)
0.244981 + 0.969528i \(0.421218\pi\)
\(354\) 5951.12 2766.27i 0.893499 0.415326i
\(355\) 3191.63 0.477166
\(356\) 11.1072 204.860i 0.00165360 0.0304988i
\(357\) 397.462 + 530.208i 0.0589241 + 0.0786039i
\(358\) −8215.45 893.484i −1.21285 0.131905i
\(359\) 8.47094 25.1408i 0.00124535 0.00369605i −0.947029 0.321149i \(-0.895931\pi\)
0.948274 + 0.317453i \(0.102828\pi\)
\(360\) 5987.95 6153.65i 0.876646 0.900905i
\(361\) −2198.71 3242.85i −0.320558 0.472788i
\(362\) 209.909 1280.39i 0.0304767 0.185899i
\(363\) 886.506 1645.32i 0.128180 0.237898i
\(364\) −14.2768 5.68840i −0.00205579 0.000819102i
\(365\) 8621.37 1897.71i 1.23634 0.272138i
\(366\) −5947.45 10036.8i −0.849394 1.43341i
\(367\) −1813.06 + 1540.03i −0.257877 + 0.219043i −0.766993 0.641655i \(-0.778248\pi\)
0.509116 + 0.860698i \(0.329972\pi\)
\(368\) 9417.99 5666.61i 1.33409 0.802697i
\(369\) 2862.89 + 4906.19i 0.403891 + 0.692157i
\(370\) 10098.8 + 2222.91i 1.41895 + 0.312334i
\(371\) −216.225 146.604i −0.0302583 0.0205156i
\(372\) 202.652 331.745i 0.0282447 0.0462370i
\(373\) 4673.65 8815.43i 0.648773 1.22372i −0.312970 0.949763i \(-0.601324\pi\)
0.961743 0.273953i \(-0.0883311\pi\)
\(374\) −3657.32 + 7905.16i −0.505656 + 1.09296i
\(375\) −1358.30 + 3943.53i −0.187046 + 0.543048i
\(376\) 1382.98 + 8435.80i 0.189685 + 1.15703i
\(377\) 6110.03 5787.73i 0.834702 0.790671i
\(378\) 389.675 + 308.809i 0.0530231 + 0.0420197i
\(379\) −1578.64 1200.05i −0.213956 0.162645i 0.492707 0.870195i \(-0.336007\pi\)
−0.706663 + 0.707550i \(0.749800\pi\)
\(380\) −203.148 267.237i −0.0274244 0.0360762i
\(381\) −38.8963 + 638.077i −0.00523023 + 0.0857997i
\(382\) 74.8494 + 141.181i 0.0100252 + 0.0189095i
\(383\) −11552.1 + 626.338i −1.54122 + 0.0835623i −0.805037 0.593224i \(-0.797855\pi\)
−0.736179 + 0.676787i \(0.763372\pi\)
\(384\) 1874.06 + 6930.03i 0.249050 + 0.920955i
\(385\) −485.297 + 257.288i −0.0642417 + 0.0340588i
\(386\) −1.46546 + 5.27811i −0.000193238 + 0.000695981i
\(387\) −11180.9 6121.60i −1.46863 0.804079i
\(388\) −142.654 + 187.658i −0.0186653 + 0.0245538i
\(389\) −7005.60 + 1945.09i −0.913105 + 0.253522i −0.692143 0.721760i \(-0.743333\pi\)
−0.220962 + 0.975282i \(0.570920\pi\)
\(390\) −5891.73 + 8565.20i −0.764972 + 1.11209i
\(391\) −17521.6 + 2872.52i −2.26626 + 0.371534i
\(392\) 6711.86 + 4038.39i 0.864796 + 0.520330i
\(393\) 6016.10 + 1366.68i 0.772194 + 0.175420i
\(394\) 1067.76 + 566.092i 0.136531 + 0.0723840i
\(395\) −4970.81 + 5247.62i −0.633186 + 0.668447i
\(396\) 34.3626 193.298i 0.00436057 0.0245293i
\(397\) −530.020 + 2407.91i −0.0670049 + 0.304406i −0.998190 0.0601406i \(-0.980845\pi\)
0.931185 + 0.364547i \(0.118776\pi\)
\(398\) −1249.51 + 135.893i −0.157368 + 0.0171148i
\(399\) 501.162 468.379i 0.0628809 0.0587676i
\(400\) 2696.03 + 3174.01i 0.337003 + 0.396751i
\(401\) 781.844 263.434i 0.0973652 0.0328062i −0.270197 0.962805i \(-0.587089\pi\)
0.367563 + 0.929999i \(0.380192\pi\)
\(402\) 585.682 + 1288.58i 0.0726646 + 0.159871i
\(403\) −6147.88 + 15430.0i −0.759920 + 1.90725i
\(404\) 40.7869 48.0181i 0.00502283 0.00591334i
\(405\) −7873.48 + 6331.62i −0.966016 + 0.776841i
\(406\) 476.591 323.137i 0.0582582 0.0395000i
\(407\) 7751.14 3088.34i 0.944004 0.376126i
\(408\) 1372.54 11877.4i 0.166547 1.44123i
\(409\) −1300.13 + 11954.5i −0.157182 + 1.44526i 0.604134 + 0.796882i \(0.293519\pi\)
−0.761316 + 0.648381i \(0.775447\pi\)
\(410\) −7374.96 + 3412.02i −0.888349 + 0.410994i
\(411\) 8307.57 1304.71i 0.997037 0.156585i
\(412\) 175.196i 0.0209497i
\(413\) 520.955 246.426i 0.0620691 0.0293603i
\(414\) −12165.2 + 5431.02i −1.44418 + 0.644735i
\(415\) 2484.53 + 134.707i 0.293882 + 0.0159338i
\(416\) 229.571 + 496.209i 0.0270568 + 0.0584823i
\(417\) 7735.57 788.751i 0.908424 0.0926266i
\(418\) 8544.70 + 2879.04i 0.999844 + 0.336887i
\(419\) 2955.51 + 7417.78i 0.344597 + 0.864874i 0.994488 + 0.104847i \(0.0334353\pi\)
−0.649891 + 0.760028i \(0.725185\pi\)
\(420\) 14.7977 15.4130i 0.00171917 0.00179066i
\(421\) −16028.1 2627.67i −1.85549 0.304192i −0.872608 0.488421i \(-0.837573\pi\)
−0.982884 + 0.184228i \(0.941021\pi\)
\(422\) −1595.06 1354.86i −0.183996 0.156288i
\(423\) −409.588 10050.7i −0.0470800 1.15528i
\(424\) 1013.30 + 4603.49i 0.116062 + 0.527276i
\(425\) −2148.05 6375.20i −0.245167 0.727630i
\(426\) 2035.91 2641.18i 0.231550 0.300388i
\(427\) −528.185 877.851i −0.0598611 0.0994899i
\(428\) −15.4548 142.105i −0.00174542 0.0160488i
\(429\) −56.3521 + 8388.25i −0.00634197 + 0.944029i
\(430\) 10233.3 15093.0i 1.14766 1.69267i
\(431\) 10259.9 + 9718.65i 1.14664 + 1.08615i 0.995218 + 0.0976813i \(0.0311426\pi\)
0.151418 + 0.988470i \(0.451616\pi\)
\(432\) −1235.54 8621.37i −0.137604 0.960175i
\(433\) 5889.48 + 2724.77i 0.653650 + 0.302411i 0.718544 0.695481i \(-0.244809\pi\)
−0.0648939 + 0.997892i \(0.520671\pi\)
\(434\) −585.875 + 973.731i −0.0647993 + 0.107697i
\(435\) 4257.82 + 10898.7i 0.469303 + 1.20127i
\(436\) −337.627 356.428i −0.0370857 0.0391509i
\(437\) 4917.25 + 17710.3i 0.538270 + 1.93867i
\(438\) 3929.08 8345.00i 0.428627 0.910364i
\(439\) −11755.5 + 8936.29i −1.27804 + 0.971539i −0.278098 + 0.960553i \(0.589704\pi\)
−0.999940 + 0.0109865i \(0.996503\pi\)
\(440\) 9549.77 + 2651.48i 1.03470 + 0.287283i
\(441\) −7262.25 5676.18i −0.784176 0.612912i
\(442\) 783.744 + 14455.3i 0.0843414 + 1.55559i
\(443\) −464.642 8569.81i −0.0498325 0.919106i −0.911415 0.411489i \(-0.865009\pi\)
0.861582 0.507618i \(-0.169474\pi\)
\(444\) −248.776 + 208.452i −0.0265910 + 0.0222808i
\(445\) −11742.9 3260.40i −1.25094 0.347321i
\(446\) 4993.15 3795.69i 0.530117 0.402985i
\(447\) −8790.32 4138.75i −0.930130 0.437934i
\(448\) 178.964 + 644.569i 0.0188733 + 0.0679755i
\(449\) 4450.27 + 4698.10i 0.467754 + 0.493801i 0.916599 0.399808i \(-0.130923\pi\)
−0.448845 + 0.893609i \(0.648165\pi\)
\(450\) −2776.34 4215.64i −0.290840 0.441616i
\(451\) −3380.41 + 5618.28i −0.352943 + 0.586596i
\(452\) −165.198 76.4288i −0.0171909 0.00795334i
\(453\) 1895.91 + 540.142i 0.196640 + 0.0560222i
\(454\) −8544.37 8093.66i −0.883276 0.836683i
\(455\) −512.318 + 755.613i −0.0527865 + 0.0778543i
\(456\) −12376.9 83.1479i −1.27106 0.00853895i
\(457\) −398.917 3667.99i −0.0408328 0.375451i −0.996669 0.0815516i \(-0.974012\pi\)
0.955836 0.293899i \(-0.0949531\pi\)
\(458\) −6033.63 10028.0i −0.615574 1.02309i
\(459\) −3300.78 + 13676.7i −0.335659 + 1.39079i
\(460\) 182.806 + 542.548i 0.0185290 + 0.0549922i
\(461\) −1264.26 5743.57i −0.127727 0.580271i −0.996392 0.0848704i \(-0.972952\pi\)
0.868665 0.495400i \(-0.164979\pi\)
\(462\) −96.6523 + 565.722i −0.00973306 + 0.0569692i
\(463\) 5143.58 + 4368.99i 0.516290 + 0.438541i 0.867267 0.497843i \(-0.165875\pi\)
−0.350977 + 0.936384i \(0.614150\pi\)
\(464\) −9953.53 1631.80i −0.995865 0.163264i
\(465\) −16658.0 15992.9i −1.66128 1.59496i
\(466\) −2616.42 6566.72i −0.260093 0.652784i
\(467\) −103.175 34.7635i −0.0102234 0.00344468i 0.314185 0.949362i \(-0.398269\pi\)
−0.324409 + 0.945917i \(0.605165\pi\)
\(468\) −100.025 310.594i −0.00987961 0.0306778i
\(469\) 52.1908 + 112.808i 0.00513848 + 0.0111066i
\(470\) 14368.7 + 779.050i 1.41017 + 0.0764572i
\(471\) −1445.92 6785.71i −0.141454 0.663841i
\(472\) −9882.08 3236.24i −0.963686 0.315593i
\(473\) 14713.9i 1.43033i
\(474\) 1171.74 + 7460.92i 0.113544 + 0.722978i
\(475\) −6320.43 + 2924.14i −0.610529 + 0.282461i
\(476\) 3.21691 29.5790i 0.000309762 0.00284822i
\(477\) −525.562 5521.72i −0.0504483 0.530025i
\(478\) 4698.64 1872.11i 0.449604 0.179139i
\(479\) 5049.15 3423.41i 0.481632 0.326554i −0.296093 0.955159i \(-0.595684\pi\)
0.777725 + 0.628605i \(0.216374\pi\)
\(480\) −759.280 + 36.0530i −0.0722005 + 0.00342831i
\(481\) 8977.62 10569.3i 0.851027 1.00191i
\(482\) −3421.02 + 8586.12i −0.323285 + 0.811384i
\(483\) −1065.07 + 484.092i −0.100336 + 0.0456045i
\(484\) −79.5252 + 26.7951i −0.00746855 + 0.00251645i
\(485\) 9065.09 + 10672.2i 0.848710 + 0.999179i
\(486\) 217.199 + 10554.4i 0.0202723 + 0.985101i
\(487\) −2230.67 + 242.600i −0.207559 + 0.0225734i −0.211308 0.977420i \(-0.567772\pi\)
0.00374889 + 0.999993i \(0.498807\pi\)
\(488\) −3973.87 + 18053.5i −0.368625 + 1.67468i
\(489\) −644.906 + 1587.49i −0.0596394 + 0.146808i
\(490\) 9067.83 9572.79i 0.836006 0.882560i
\(491\) −18145.9 9620.35i −1.66785 0.884237i −0.988642 0.150288i \(-0.951980\pi\)
−0.679205 0.733948i \(-0.737675\pi\)
\(492\) 56.5015 248.719i 0.00517741 0.0227909i
\(493\) 13961.4 + 8400.29i 1.27543 + 0.767403i
\(494\) 14788.5 2424.46i 1.34690 0.220813i
\(495\) −10775.2 4461.89i −0.978400 0.405146i
\(496\) 19180.6 5325.48i 1.73636 0.482099i
\(497\) 177.222 233.131i 0.0159949 0.0210410i
\(498\) 1696.34 1970.10i 0.152640 0.177274i
\(499\) 3177.23 11443.3i 0.285034 1.02660i −0.672928 0.739708i \(-0.734964\pi\)
0.957963 0.286893i \(-0.0926225\pi\)
\(500\) 165.462 87.7225i 0.0147994 0.00784614i
\(501\) −7948.70 + 2149.54i −0.708826 + 0.191685i
\(502\) 5204.89 282.201i 0.462760 0.0250901i
\(503\) 896.153 + 1690.32i 0.0794383 + 0.149837i 0.920049 0.391803i \(-0.128149\pi\)
−0.840611 + 0.541640i \(0.817804\pi\)
\(504\) −116.998 779.081i −0.0103403 0.0688552i
\(505\) −2264.87 2979.39i −0.199575 0.262537i
\(506\) −12242.4 9306.45i −1.07558 0.817633i
\(507\) 1168.10 + 2239.49i 0.102322 + 0.196172i
\(508\) 20.8386 19.7394i 0.00182001 0.00172401i
\(509\) −2917.41 17795.4i −0.254051 1.54964i −0.738155 0.674631i \(-0.764303\pi\)
0.484104 0.875011i \(-0.339146\pi\)
\(510\) −19029.6 6554.49i −1.65224 0.569093i
\(511\) 340.102 735.119i 0.0294427 0.0636394i
\(512\) 5644.60 10646.9i 0.487224 0.919002i
\(513\) 14444.4 + 1866.16i 1.24315 + 0.160610i
\(514\) −13048.3 8846.97i −1.11972 0.759189i
\(515\) 10163.8 + 2237.22i 0.869652 + 0.191425i
\(516\) 179.107 + 543.611i 0.0152805 + 0.0463782i
\(517\) 9949.07 5986.16i 0.846343 0.509228i
\(518\) 723.126 614.229i 0.0613366 0.0520998i
\(519\) 15955.1 9454.48i 1.34943 0.799626i
\(520\) 16087.2 3541.07i 1.35668 0.298627i
\(521\) −300.370 119.678i −0.0252581 0.0100637i 0.357475 0.933923i \(-0.383638\pi\)
−0.382733 + 0.923859i \(0.625017\pi\)
\(522\) 11735.0 + 3428.69i 0.983964 + 0.287490i
\(523\) 65.9146 402.061i 0.00551098 0.0336155i −0.983928 0.178566i \(-0.942854\pi\)
0.989439 + 0.144951i \(0.0463024\pi\)
\(524\) −155.456 229.280i −0.0129601 0.0191148i
\(525\) −246.286 368.551i −0.0204739 0.0306379i
\(526\) −4395.02 + 13044.0i −0.364319 + 1.08126i
\(527\) −31968.2 3476.76i −2.64243 0.287381i
\(528\) 8044.04 6030.09i 0.663015 0.497019i
\(529\) 1038.43 19152.8i 0.0853485 1.57416i
\(530\) 7934.72 0.650306
\(531\) 11079.7 + 5192.38i 0.905498 + 0.424351i
\(532\) −30.8004 −0.00251009
\(533\) −589.986 + 10881.6i −0.0479458 + 0.884308i
\(534\) −10188.8 + 7637.85i −0.825677 + 0.618955i
\(535\) −8441.41 918.059i −0.682157 0.0741891i
\(536\) 716.116 2125.36i 0.0577080 0.171271i
\(537\) −8560.95 12810.9i −0.687956 1.02948i
\(538\) −4771.55 7037.50i −0.382372 0.563956i
\(539\) 1721.29 10499.4i 0.137553 0.839036i
\(540\) 452.407 + 33.6845i 0.0360528 + 0.00268435i
\(541\) 9287.20 + 3700.36i 0.738056 + 0.294068i 0.708709 0.705501i \(-0.249278\pi\)
0.0293468 + 0.999569i \(0.490657\pi\)
\(542\) 7457.55 1641.53i 0.591013 0.130092i
\(543\) 2081.20 1233.25i 0.164481 0.0974658i
\(544\) −806.752 + 685.261i −0.0635831 + 0.0540080i
\(545\) −24989.2 + 15035.5i −1.96407 + 1.18174i
\(546\) 298.491 + 905.959i 0.0233961 + 0.0710100i
\(547\) 18705.4 + 4117.36i 1.46213 + 0.321838i 0.873602 0.486641i \(-0.161778\pi\)
0.588525 + 0.808479i \(0.299709\pi\)
\(548\) −312.528 211.899i −0.0243623 0.0165180i
\(549\) 7221.89 20518.5i 0.561426 1.59510i
\(550\) 2729.23 5147.87i 0.211590 0.399101i
\(551\) 7082.30 15308.1i 0.547579 1.18357i
\(552\) 19958.8 + 6874.54i 1.53895 + 0.530073i
\(553\) 107.296 + 654.476i 0.00825079 + 0.0503276i
\(554\) 5482.75 5193.54i 0.420469 0.398289i
\(555\) 8916.27 + 17094.4i 0.681936 + 1.30742i
\(556\) −277.945 211.289i −0.0212006 0.0161162i
\(557\) −2255.45 2966.99i −0.171573 0.225701i 0.702267 0.711913i \(-0.252171\pi\)
−0.873841 + 0.486213i \(0.838378\pi\)
\(558\) −23860.7 + 3583.26i −1.81022 + 0.271848i
\(559\) −11454.8 21606.1i −0.866704 1.63478i
\(560\) 1092.50 59.2337i 0.0824404 0.00446979i
\(561\) −15677.1 + 4239.50i −1.17983 + 0.319058i
\(562\) 10049.7 5328.03i 0.754310 0.399910i
\(563\) −3333.50 + 12006.2i −0.249539 + 0.898757i 0.727573 + 0.686030i \(0.240648\pi\)
−0.977112 + 0.212727i \(0.931766\pi\)
\(564\) −294.706 + 342.268i −0.0220024 + 0.0255533i
\(565\) −6543.48 + 8607.80i −0.487232 + 0.640943i
\(566\) 13289.0 3689.68i 0.986889 0.274008i
\(567\) 25.2993 + 926.691i 0.00187384 + 0.0686373i
\(568\) −5214.36 + 854.850i −0.385193 + 0.0631491i
\(569\) 213.562 + 128.496i 0.0157346 + 0.00946719i 0.523399 0.852087i \(-0.324664\pi\)
−0.507665 + 0.861555i \(0.669491\pi\)
\(570\) −4615.50 + 20317.3i −0.339161 + 1.49298i
\(571\) 13458.3 + 7135.15i 0.986363 + 0.522937i 0.881821 0.471584i \(-0.156317\pi\)
0.104542 + 0.994520i \(0.466662\pi\)
\(572\) 259.022 273.446i 0.0189340 0.0199884i
\(573\) −112.135 + 276.031i −0.00817544 + 0.0201246i
\(574\) −160.280 + 728.160i −0.0116550 + 0.0529492i
\(575\) 11807.7 1284.17i 0.856377 0.0931366i
\(576\) −8127.94 + 11647.8i −0.587958 + 0.842576i
\(577\) −6612.75 7785.13i −0.477110 0.561697i 0.469975 0.882679i \(-0.344263\pi\)
−0.947085 + 0.320983i \(0.895987\pi\)
\(578\) −13584.6 + 4577.18i −0.977586 + 0.329387i
\(579\) −9.29799 + 4.22611i −0.000667377 + 0.000303335i
\(580\) 194.464 488.068i 0.0139219 0.0349412i
\(581\) 147.798 174.002i 0.0105537 0.0124248i
\(582\) 14614.2 693.927i 1.04085 0.0494230i
\(583\) 5299.28 3593.00i 0.376456 0.255244i
\(584\) −13577.0 + 5409.56i −0.962019 + 0.383303i
\(585\) −19296.0 + 1836.62i −1.36375 + 0.129803i
\(586\) 2100.62 19314.9i 0.148081 1.36159i
\(587\) 11074.7 5123.72i 0.778711 0.360270i 0.0100692 0.999949i \(-0.496795\pi\)
0.768642 + 0.639679i \(0.220933\pi\)
\(588\) 64.2113 + 408.857i 0.00450345 + 0.0286751i
\(589\) 33288.3i 2.32873i
\(590\) −8896.31 + 15074.8i −0.620771 + 1.05190i
\(591\) 469.607 + 2203.86i 0.0326853 + 0.153392i
\(592\) −16595.4 899.776i −1.15214 0.0624672i
\(593\) 1638.37 + 3541.27i 0.113456 + 0.245232i 0.955983 0.293423i \(-0.0947946\pi\)
−0.842526 + 0.538655i \(0.818932\pi\)
\(594\) −10565.7 + 6070.61i −0.729828 + 0.419327i
\(595\) −1674.91 564.344i −0.115403 0.0388838i
\(596\) 161.475 + 405.271i 0.0110978 + 0.0278533i
\(597\) −1690.48 1622.99i −0.115890 0.111264i
\(598\) −25222.1 4134.95i −1.72476 0.282760i
\(599\) −5243.16 4453.58i −0.357646 0.303787i 0.450492 0.892780i \(-0.351249\pi\)
−0.808138 + 0.588993i \(0.799524\pi\)
\(600\) −1346.95 + 7883.93i −0.0916484 + 0.536433i
\(601\) 602.590 + 2737.60i 0.0408988 + 0.185805i 0.992641 0.121093i \(-0.0386399\pi\)
−0.951742 + 0.306898i \(0.900709\pi\)
\(602\) −534.237 1585.56i −0.0361693 0.107347i
\(603\) −1140.20 + 2380.06i −0.0770028 + 0.160736i
\(604\) −45.6348 75.8455i −0.00307426 0.00510946i
\(605\) 538.968 + 4955.73i 0.0362185 + 0.333023i
\(606\) −3910.28 26.2692i −0.262119 0.00176091i
\(607\) −10796.9 + 15924.2i −0.721963 + 1.06482i 0.272747 + 0.962086i \(0.412068\pi\)
−0.994709 + 0.102730i \(0.967242\pi\)
\(608\) 795.511 + 753.548i 0.0530629 + 0.0502638i
\(609\) 1032.51 + 294.161i 0.0687021 + 0.0195731i
\(610\) 28241.6 + 13065.9i 1.87454 + 0.867253i
\(611\) 9949.12 16535.6i 0.658754 1.09486i
\(612\) 527.592 347.462i 0.0348474 0.0229498i
\(613\) −5239.15 5530.90i −0.345199 0.364422i 0.530158 0.847899i \(-0.322133\pi\)
−0.875357 + 0.483476i \(0.839374\pi\)
\(614\) 5396.06 + 19434.8i 0.354670 + 1.27740i
\(615\) −13707.6 6453.96i −0.898771 0.423169i
\(616\) 723.947 550.330i 0.0473517 0.0359958i
\(617\) 3791.28 + 1052.64i 0.247376 + 0.0686836i 0.389003 0.921236i \(-0.372820\pi\)
−0.141627 + 0.989920i \(0.545233\pi\)
\(618\) 8334.78 6983.78i 0.542514 0.454577i
\(619\) −637.079 11750.2i −0.0413673 0.762975i −0.943471 0.331455i \(-0.892460\pi\)
0.902104 0.431520i \(-0.142022\pi\)
\(620\) 56.1354 + 1035.36i 0.00363621 + 0.0670660i
\(621\) −22329.3 10882.2i −1.44291 0.703201i
\(622\) −1342.04 372.615i −0.0865125 0.0240201i
\(623\) −890.203 + 676.715i −0.0572476 + 0.0435185i
\(624\) 7117.55 15117.0i 0.456619 0.969815i
\(625\) −5219.54 18799.1i −0.334051 1.20314i
\(626\) 2511.34 + 2651.19i 0.160341 + 0.169270i
\(627\) 6117.59 + 15659.1i 0.389654 + 0.997392i
\(628\) −160.609 + 266.933i −0.0102054 + 0.0169615i
\(629\) 24366.4 + 11273.1i 1.54460 + 0.714607i
\(630\) −1323.13 89.5817i −0.0836743 0.00566511i
\(631\) 18677.6 + 17692.4i 1.17836 + 1.11620i 0.990994 + 0.133910i \(0.0427532\pi\)
0.187365 + 0.982290i \(0.440005\pi\)
\(632\) 6715.58 9904.74i 0.422676 0.623401i
\(633\) 26.2134 3901.98i 0.00164596 0.245008i
\(634\) 113.758 + 1045.99i 0.00712605 + 0.0655229i
\(635\) −879.054 1461.00i −0.0549357 0.0913039i
\(636\) −152.048 + 197.251i −0.00947972 + 0.0122980i
\(637\) −5646.26 16757.5i −0.351198 1.04232i
\(638\) 3033.68 + 13782.1i 0.188251 + 0.855235i
\(639\) 6212.56 253.175i 0.384609 0.0156736i
\(640\) −14593.9 12396.2i −0.901368 0.765629i
\(641\) −5100.58 836.197i −0.314291 0.0515255i 0.00257188 0.999997i \(-0.499181\pi\)
−0.316863 + 0.948471i \(0.602630\pi\)
\(642\) −6144.43 + 6399.92i −0.377728 + 0.393434i
\(643\) 6542.88 + 16421.4i 0.401285 + 1.00715i 0.981290 + 0.192536i \(0.0616713\pi\)
−0.580005 + 0.814613i \(0.696949\pi\)
\(644\) 49.7808 + 16.7731i 0.00304602 + 0.00102633i
\(645\) 33824.2 3448.85i 2.06484 0.210540i
\(646\) 12182.3 + 26331.6i 0.741960 + 1.60372i
\(647\) −20218.4 1096.21i −1.22854 0.0666097i −0.571589 0.820540i \(-0.693673\pi\)
−0.656954 + 0.753930i \(0.728156\pi\)
\(648\) 11167.5 12453.2i 0.677008 0.754950i
\(649\) 884.707 + 14096.3i 0.0535097 + 0.852587i
\(650\) 9683.93i 0.584361i
\(651\) −2093.17 + 328.733i −0.126018 + 0.0197912i
\(652\) 69.8266 32.3052i 0.00419420 0.00194044i
\(653\) 1028.80 9459.67i 0.0616541 0.566900i −0.922046 0.387081i \(-0.873483\pi\)
0.983700 0.179819i \(-0.0575511\pi\)
\(654\) −3498.02 + 30270.4i −0.209149 + 1.80989i
\(655\) −15286.6 + 6090.73i −0.911902 + 0.363335i
\(656\) 10810.0 7329.37i 0.643384 0.436225i
\(657\) 16631.1 4377.81i 0.987583 0.259961i
\(658\) 854.759 1006.30i 0.0506413 0.0596195i
\(659\) −8094.51 + 20315.7i −0.478479 + 1.20089i 0.469607 + 0.882876i \(0.344396\pi\)
−0.948086 + 0.318015i \(0.896984\pi\)
\(660\) 216.680 + 476.725i 0.0127792 + 0.0281159i
\(661\) 26189.7 8824.35i 1.54109 0.519255i 0.584678 0.811265i \(-0.301221\pi\)
0.956415 + 0.292011i \(0.0943243\pi\)
\(662\) 6435.10 + 7575.99i 0.377806 + 0.444787i
\(663\) −19720.0 + 18430.0i −1.15515 + 1.07958i
\(664\) −4095.21 + 445.381i −0.239345 + 0.0260303i
\(665\) −393.316 + 1786.85i −0.0229355 + 0.104197i
\(666\) 19833.8 + 3525.85i 1.15397 + 0.205141i
\(667\) −19783.1 + 20884.8i −1.14843 + 1.21239i
\(668\) 326.657 + 173.183i 0.0189203 + 0.0100309i
\(669\) 11403.8 + 2590.60i 0.659035 + 0.149713i
\(670\) −3234.90 1946.38i −0.186530 0.112231i
\(671\) 24777.9 4062.13i 1.42555 0.233706i
\(672\) −39.5271 + 57.4632i −0.00226903 + 0.00329865i
\(673\) 15136.0 4202.49i 0.866939 0.240704i 0.194541 0.980894i \(-0.437678\pi\)
0.672398 + 0.740190i \(0.265264\pi\)
\(674\) −20328.0 + 26741.1i −1.16173 + 1.52823i
\(675\) 2700.10 9015.92i 0.153966 0.514108i
\(676\) 30.3409 109.278i 0.00172627 0.00621747i
\(677\) −13206.1 + 7001.43i −0.749707 + 0.397470i −0.799013 0.601314i \(-0.794644\pi\)
0.0493055 + 0.998784i \(0.484299\pi\)
\(678\) 2949.21 + 10905.8i 0.167056 + 0.617750i
\(679\) 1282.91 69.5572i 0.0725088 0.00393131i
\(680\) 14937.9 + 28176.0i 0.842418 + 1.58897i
\(681\) 1335.18 21903.1i 0.0751310 1.23249i
\(682\) −16854.8 22172.1i −0.946338 1.24489i
\(683\) −19385.1 14736.2i −1.08602 0.825569i −0.100466 0.994941i \(-0.532033\pi\)
−0.985552 + 0.169371i \(0.945826\pi\)
\(684\) −416.630 504.066i −0.0232898 0.0281776i
\(685\) −16284.0 + 15425.0i −0.908293 + 0.860381i
\(686\) −392.389 2393.47i −0.0218389 0.133211i
\(687\) 7106.14 20631.2i 0.394638 1.14575i
\(688\) −12306.3 + 26599.5i −0.681935 + 1.47398i
\(689\) 4984.38 9401.54i 0.275602 0.519841i
\(690\) 18524.0 30324.2i 1.02203 1.67307i
\(691\) 12153.3 + 8240.15i 0.669079 + 0.453647i 0.847845 0.530245i \(-0.177900\pi\)
−0.178765 + 0.983892i \(0.557210\pi\)
\(692\) −813.266 179.013i −0.0446759 0.00983392i
\(693\) −924.231 + 539.313i −0.0506618 + 0.0295625i
\(694\) −19632.2 + 11812.3i −1.07382 + 0.646094i
\(695\) −15807.0 + 13426.6i −0.862724 + 0.732804i
\(696\) −9875.38 16665.4i −0.537824 0.907617i
\(697\) −20604.8 + 4535.46i −1.11975 + 0.246475i
\(698\) −1777.53 708.232i −0.0963904 0.0384054i
\(699\) 6251.60 11602.7i 0.338279 0.627834i
\(700\) −3.21999 + 19.6411i −0.000173863 + 0.00106052i
\(701\) −14037.1 20703.2i −0.756311 1.11547i −0.989709 0.143093i \(-0.954295\pi\)
0.233399 0.972381i \(-0.425015\pi\)
\(702\) −10788.9 + 17139.7i −0.580059 + 0.921503i
\(703\) 8874.19 26337.7i 0.476097 1.41301i
\(704\) −16298.7 1772.59i −0.872558 0.0948964i
\(705\) 16092.9 + 21467.7i 0.859709 + 1.14684i
\(706\) −490.289 + 9042.84i −0.0261363 + 0.482056i
\(707\) −343.390 −0.0182666
\(708\) −204.275 510.026i −0.0108434 0.0270734i
\(709\) −30846.0 −1.63391 −0.816957 0.576699i \(-0.804341\pi\)
−0.816957 + 0.576699i \(0.804341\pi\)
\(710\) −481.548 + 8881.63i −0.0254538 + 0.469467i
\(711\) −9259.50 + 10608.9i −0.488409 + 0.559585i
\(712\) 20058.3 + 2181.48i 1.05578 + 0.114823i
\(713\) 18128.0 53801.9i 0.952170 2.82594i
\(714\) −1535.43 + 1026.06i −0.0804788 + 0.0537804i
\(715\) −12556.0 18518.7i −0.656739 0.968617i
\(716\) −111.927 + 682.727i −0.00584207 + 0.0356350i
\(717\) 8302.03 + 4473.16i 0.432420 + 0.232989i
\(718\) 68.6836 + 27.3661i 0.00356999 + 0.00142241i
\(719\) −12261.7 + 2699.01i −0.636001 + 0.139994i −0.521256 0.853401i \(-0.674536\pi\)
−0.114745 + 0.993395i \(0.536605\pi\)
\(720\) 15747.4 + 17078.2i 0.815099 + 0.883980i
\(721\) 727.783 618.185i 0.0375923 0.0319312i
\(722\) 9355.92 5629.27i 0.482259 0.290166i
\(723\) −16367.3 + 5392.63i −0.841918 + 0.277391i
\(724\) −106.083 23.3507i −0.00544552 0.00119865i
\(725\) −9021.41 6116.66i −0.462133 0.313334i
\(726\) 4444.83 + 2715.20i 0.227222 + 0.138803i
\(727\) −11118.6 + 20971.9i −0.567216 + 1.06988i 0.419550 + 0.907732i \(0.362188\pi\)
−0.986766 + 0.162151i \(0.948157\pi\)
\(728\) 634.621 1371.71i 0.0323085 0.0698338i
\(729\) −14823.6 + 12949.2i −0.753118 + 0.657886i
\(730\) 3980.14 + 24277.8i 0.201797 + 1.23091i
\(731\) 34372.3 32559.2i 1.73913 1.64739i
\(732\) −865.985 + 451.690i −0.0437264 + 0.0228073i
\(733\) 4370.78 + 3322.58i 0.220243 + 0.167425i 0.709478 0.704728i \(-0.248931\pi\)
−0.489235 + 0.872152i \(0.662724\pi\)
\(734\) −4012.02 5277.72i −0.201752 0.265401i
\(735\) 24539.4 + 1495.89i 1.23149 + 0.0750701i
\(736\) −875.373 1651.13i −0.0438406 0.0826921i
\(737\) −3041.82 + 164.923i −0.152031 + 0.00824288i
\(738\) −14084.8 + 7226.57i −0.702534 + 0.360452i
\(739\) −3489.40 + 1849.97i −0.173694 + 0.0920867i −0.552987 0.833190i \(-0.686512\pi\)
0.379293 + 0.925277i \(0.376167\pi\)
\(740\) 231.597 834.138i 0.0115050 0.0414372i
\(741\) 21173.9 + 18231.5i 1.04972 + 0.903849i
\(742\) 440.592 579.589i 0.0217987 0.0286757i
\(743\) −34087.0 + 9464.20i −1.68308 + 0.467305i −0.971840 0.235642i \(-0.924281\pi\)
−0.711242 + 0.702947i \(0.751867\pi\)
\(744\) 31498.7 + 21666.9i 1.55215 + 1.06767i
\(745\) 25573.4 4192.54i 1.25763 0.206178i
\(746\) 23826.4 + 14335.8i 1.16936 + 0.703582i
\(747\) 4846.87 + 65.1253i 0.237400 + 0.00318984i
\(748\) 644.260 + 341.565i 0.0314926 + 0.0166963i
\(749\) −535.786 + 565.622i −0.0261378 + 0.0275933i
\(750\) −10769.1 4374.85i −0.524308 0.212996i
\(751\) −1042.65 + 4736.79i −0.0506614 + 0.230157i −0.995147 0.0983944i \(-0.968629\pi\)
0.944486 + 0.328551i \(0.106560\pi\)
\(752\) −22992.4 + 2500.58i −1.11496 + 0.121259i
\(753\) 6636.06 + 7100.55i 0.321157 + 0.343636i
\(754\) 15184.2 + 17876.2i 0.733388 + 0.863411i
\(755\) −4982.84 + 1678.91i −0.240191 + 0.0809298i
\(756\) 27.5813 31.1755i 0.00132688 0.00149979i
\(757\) 11055.6 27747.4i 0.530809 1.33223i −0.382120 0.924113i \(-0.624806\pi\)
0.912929 0.408118i \(-0.133815\pi\)
\(758\) 3577.67 4211.96i 0.171434 0.201828i
\(759\) −1359.93 28640.4i −0.0650362 1.36967i
\(760\) 27324.5 18526.5i 1.30416 0.884246i
\(761\) −15205.3 + 6058.36i −0.724301 + 0.288588i −0.703004 0.711185i \(-0.748159\pi\)
−0.0212962 + 0.999773i \(0.506779\pi\)
\(762\) −1769.77 204.512i −0.0841363 0.00972270i
\(763\) −289.315 + 2660.20i −0.0137273 + 0.126220i
\(764\) 12.1414 5.61719i 0.000574946 0.000265998i
\(765\) −13420.3 35044.7i −0.634266 1.65626i
\(766\) 32241.6i 1.52081i
\(767\) 12273.2 + 20010.5i 0.577782 + 0.942031i
\(768\) 1819.69 387.745i 0.0854978 0.0182182i
\(769\) 17165.2 + 930.668i 0.804931 + 0.0436421i 0.452012 0.892012i \(-0.350706\pi\)
0.352919 + 0.935654i \(0.385189\pi\)
\(770\) −642.759 1389.30i −0.0300824 0.0650220i
\(771\) −2981.62 29241.9i −0.139274 1.36591i
\(772\) 0.434585 + 0.146429i 2.02604e−5 + 6.82654e-6i
\(773\) 4004.31 + 10050.1i