Properties

Label 147.4.o.a.101.7
Level $147$
Weight $4$
Character 147.101
Analytic conductor $8.673$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 147 = 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 147.o (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(8.67328077084\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 101.7
Character \(\chi\) \(=\) 147.101
Dual form 147.4.o.a.131.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.20199 - 1.64916i) q^{2} +(-2.59318 + 4.50283i) q^{3} +(9.07260 + 8.41814i) q^{4} +(15.6024 + 10.6376i) q^{5} +(18.3224 - 14.6443i) q^{6} +(16.0425 - 9.25417i) q^{7} +(-8.57160 - 17.7991i) q^{8} +(-13.5509 - 23.3532i) q^{9} +O(q^{10})\) \(q+(-4.20199 - 1.64916i) q^{2} +(-2.59318 + 4.50283i) q^{3} +(9.07260 + 8.41814i) q^{4} +(15.6024 + 10.6376i) q^{5} +(18.3224 - 14.6443i) q^{6} +(16.0425 - 9.25417i) q^{7} +(-8.57160 - 17.7991i) q^{8} +(-13.5509 - 23.3532i) q^{9} +(-48.0183 - 70.4299i) q^{10} +(4.73214 + 31.3957i) q^{11} +(-61.4322 + 19.0226i) q^{12} +(13.7855 - 10.9936i) q^{13} +(-82.6719 + 12.4294i) q^{14} +(-88.3589 + 42.6700i) q^{15} +(-0.734950 - 9.80722i) q^{16} +(50.1250 + 15.4615i) q^{17} +(18.4274 + 120.478i) q^{18} +(87.2935 - 50.3989i) q^{19} +(52.0061 + 227.854i) q^{20} +(0.0689951 + 96.2341i) q^{21} +(31.8921 - 139.729i) q^{22} +(-35.9587 - 116.575i) q^{23} +(102.374 + 7.55981i) q^{24} +(84.6106 + 215.584i) q^{25} +(-76.0569 + 23.4604i) q^{26} +(140.295 - 0.458161i) q^{27} +(223.450 + 51.0883i) q^{28} +(5.99707 - 1.36879i) q^{29} +(441.653 - 33.5808i) q^{30} +(95.2515 + 54.9935i) q^{31} +(-59.6698 + 193.445i) q^{32} +(-153.641 - 60.1066i) q^{33} +(-185.126 - 147.633i) q^{34} +(348.743 + 26.2650i) q^{35} +(73.6492 - 325.948i) q^{36} +(-296.879 + 275.464i) q^{37} +(-449.922 + 67.8149i) q^{38} +(13.7539 + 90.5822i) q^{39} +(55.6013 - 368.890i) q^{40} +(44.3470 - 21.3564i) q^{41} +(158.416 - 404.489i) q^{42} +(452.662 + 217.991i) q^{43} +(-221.361 + 324.676i) q^{44} +(36.9948 - 508.516i) q^{45} +(-41.1531 + 549.151i) q^{46} +(-120.772 + 307.721i) q^{47} +(46.0661 + 22.1225i) q^{48} +(171.721 - 296.919i) q^{49} -1045.42i q^{50} +(-199.603 + 185.610i) q^{51} +(217.616 + 16.3081i) q^{52} +(-289.769 + 312.297i) q^{53} +(-590.276 - 229.444i) q^{54} +(-260.141 + 540.188i) q^{55} +(-302.226 - 206.218i) q^{56} +(0.570145 + 523.760i) q^{57} +(-27.4570 - 4.13847i) q^{58} +(-76.0594 + 51.8564i) q^{59} +(-1160.85 - 356.690i) q^{60} +(-292.330 - 315.057i) q^{61} +(-309.553 - 388.167i) q^{62} +(-433.504 - 249.241i) q^{63} +(520.699 - 652.935i) q^{64} +(332.033 - 24.8824i) q^{65} +(546.472 + 505.946i) q^{66} +(389.716 - 675.008i) q^{67} +(324.607 + 562.235i) q^{68} +(618.166 + 140.385i) q^{69} +(-1422.10 - 685.499i) q^{70} +(-431.832 - 98.5627i) q^{71} +(-299.514 + 441.368i) q^{72} +(-784.075 + 307.727i) q^{73} +(1701.77 - 667.895i) q^{74} +(-1190.15 - 178.061i) q^{75} +(1216.24 + 277.600i) q^{76} +(366.456 + 459.872i) q^{77} +(91.5906 - 403.308i) q^{78} +(-128.673 - 222.868i) q^{79} +(92.8579 - 160.835i) q^{80} +(-361.748 + 632.914i) q^{81} +(-221.566 + 16.6041i) q^{82} +(382.593 - 479.756i) q^{83} +(-809.486 + 873.674i) q^{84} +(617.599 + 774.445i) q^{85} +(-1542.58 - 1662.51i) q^{86} +(-9.38802 + 30.5533i) q^{87} +(518.254 - 353.339i) q^{88} +(244.879 + 36.9096i) q^{89} +(-994.076 + 2075.77i) q^{90} +(119.417 - 303.938i) q^{91} +(655.108 - 1360.35i) q^{92} +(-494.630 + 286.293i) q^{93} +(1014.96 - 1093.87i) q^{94} +(1898.11 + 142.244i) q^{95} +(-716.313 - 770.319i) q^{96} +861.243i q^{97} +(-1211.24 + 964.457i) q^{98} +(669.067 - 535.950i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648q - 11q^{3} - 234q^{4} + 14q^{6} + 28q^{7} - 125q^{9} + O(q^{10}) \) \( 648q - 11q^{3} - 234q^{4} + 14q^{6} + 28q^{7} - 125q^{9} - 58q^{10} - 207q^{12} - 28q^{13} - 148q^{15} + 726q^{16} - 81q^{18} - 342q^{19} - 371q^{21} - 156q^{22} - 428q^{24} + 1250q^{25} - 56q^{27} + 700q^{28} + 389q^{30} + 888q^{31} + 841q^{33} - 532q^{34} - 38q^{36} + 1178q^{37} - 180q^{39} + 194q^{40} + 56q^{42} + 1296q^{43} - 617q^{45} - 6756q^{46} - 2380q^{49} + 787q^{51} - 5204q^{52} + 4144q^{54} - 5698q^{55} + 863q^{57} - 3066q^{58} + 2820q^{60} + 1492q^{61} - 1085q^{63} + 7648q^{64} + 2568q^{66} + 142q^{67} - 5474q^{69} + 5180q^{70} + 1278q^{72} + 2876q^{73} - 1754q^{75} + 7644q^{76} + 936q^{78} - 992q^{79} + 911q^{81} + 1022q^{82} + 7868q^{84} + 2672q^{85} - 196q^{87} + 370q^{88} - 18767q^{90} - 2254q^{91} - 11096q^{93} - 3628q^{94} - 24248q^{96} + 10982q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/147\mathbb{Z}\right)^\times\).

\(n\) \(50\) \(52\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.20199 1.64916i −1.48563 0.583066i −0.522627 0.852561i \(-0.675048\pi\)
−0.963002 + 0.269495i \(0.913143\pi\)
\(3\) −2.59318 + 4.50283i −0.499057 + 0.866569i
\(4\) 9.07260 + 8.41814i 1.13407 + 1.05227i
\(5\) 15.6024 + 10.6376i 1.39552 + 0.951452i 0.999448 + 0.0332347i \(0.0105809\pi\)
0.396077 + 0.918218i \(0.370371\pi\)
\(6\) 18.3224 14.6443i 1.24668 0.996417i
\(7\) 16.0425 9.25417i 0.866211 0.499678i
\(8\) −8.57160 17.7991i −0.378815 0.786617i
\(9\) −13.5509 23.3532i −0.501884 0.864935i
\(10\) −48.0183 70.4299i −1.51847 2.22719i
\(11\) 4.73214 + 31.3957i 0.129709 + 0.860560i 0.955161 + 0.296088i \(0.0956822\pi\)
−0.825452 + 0.564472i \(0.809080\pi\)
\(12\) −61.4322 + 19.0226i −1.47783 + 0.457613i
\(13\) 13.7855 10.9936i 0.294109 0.234544i −0.465307 0.885149i \(-0.654056\pi\)
0.759416 + 0.650605i \(0.225485\pi\)
\(14\) −82.6719 + 12.4294i −1.57821 + 0.237278i
\(15\) −88.3589 + 42.6700i −1.52095 + 0.734489i
\(16\) −0.734950 9.80722i −0.0114836 0.153238i
\(17\) 50.1250 + 15.4615i 0.715124 + 0.220586i 0.630904 0.775861i \(-0.282684\pi\)
0.0842195 + 0.996447i \(0.473160\pi\)
\(18\) 18.4274 + 120.478i 0.241299 + 1.57760i
\(19\) 87.2935 50.3989i 1.05403 0.608542i 0.130252 0.991481i \(-0.458421\pi\)
0.923774 + 0.382939i \(0.125088\pi\)
\(20\) 52.0061 + 227.854i 0.581446 + 2.54748i
\(21\) 0.0689951 + 96.2341i 0.000716951 + 1.00000i
\(22\) 31.8921 139.729i 0.309065 1.35410i
\(23\) −35.9587 116.575i −0.325996 1.05685i −0.959167 0.282842i \(-0.908723\pi\)
0.633170 0.774012i \(-0.281753\pi\)
\(24\) 102.374 + 7.55981i 0.870708 + 0.0642975i
\(25\) 84.6106 + 215.584i 0.676885 + 1.72468i
\(26\) −76.0569 + 23.4604i −0.573692 + 0.176960i
\(27\) 140.295 0.458161i 0.999995 0.00326567i
\(28\) 223.450 + 51.0883i 1.50814 + 0.344813i
\(29\) 5.99707 1.36879i 0.0384009 0.00876476i −0.203277 0.979121i \(-0.565159\pi\)
0.241678 + 0.970356i \(0.422302\pi\)
\(30\) 441.653 33.5808i 2.68782 0.204366i
\(31\) 95.2515 + 54.9935i 0.551861 + 0.318617i 0.749872 0.661583i \(-0.230115\pi\)
−0.198012 + 0.980200i \(0.563448\pi\)
\(32\) −59.6698 + 193.445i −0.329632 + 1.06864i
\(33\) −153.641 60.1066i −0.810467 0.317067i
\(34\) −185.126 147.633i −0.933792 0.744674i
\(35\) 348.743 + 26.2650i 1.68424 + 0.126846i
\(36\) 73.6492 325.948i 0.340969 1.50902i
\(37\) −296.879 + 275.464i −1.31910 + 1.22395i −0.362692 + 0.931909i \(0.618142\pi\)
−0.956407 + 0.292037i \(0.905667\pi\)
\(38\) −449.922 + 67.8149i −1.92071 + 0.289501i
\(39\) 13.7539 + 90.5822i 0.0564716 + 0.371917i
\(40\) 55.6013 368.890i 0.219783 1.45817i
\(41\) 44.3470 21.3564i 0.168923 0.0813490i −0.347512 0.937676i \(-0.612973\pi\)
0.516435 + 0.856327i \(0.327259\pi\)
\(42\) 158.416 404.489i 0.582001 1.48605i
\(43\) 452.662 + 217.991i 1.60536 + 0.773099i 0.999743 0.0226597i \(-0.00721342\pi\)
0.605614 + 0.795759i \(0.292928\pi\)
\(44\) −221.361 + 324.676i −0.758440 + 1.11243i
\(45\) 36.9948 508.516i 0.122553 1.68456i
\(46\) −41.1531 + 549.151i −0.131907 + 1.76017i
\(47\) −120.772 + 307.721i −0.374816 + 0.955016i 0.611661 + 0.791120i \(0.290502\pi\)
−0.986478 + 0.163896i \(0.947594\pi\)
\(48\) 46.0661 + 22.1225i 0.138522 + 0.0665231i
\(49\) 171.721 296.919i 0.500644 0.865654i
\(50\) 1045.42i 2.95690i
\(51\) −199.603 + 185.610i −0.548041 + 0.509619i
\(52\) 217.616 + 16.3081i 0.580345 + 0.0434908i
\(53\) −289.769 + 312.297i −0.750998 + 0.809383i −0.986719 0.162438i \(-0.948064\pi\)
0.235721 + 0.971821i \(0.424255\pi\)
\(54\) −590.276 229.444i −1.48752 0.578212i
\(55\) −260.141 + 540.188i −0.637770 + 1.32434i
\(56\) −302.226 206.218i −0.721189 0.492091i
\(57\) 0.570145 + 523.760i 0.00132487 + 1.21708i
\(58\) −27.4570 4.13847i −0.0621600 0.00936911i
\(59\) −76.0594 + 51.8564i −0.167832 + 0.114426i −0.644323 0.764753i \(-0.722861\pi\)
0.476491 + 0.879179i \(0.341908\pi\)
\(60\) −1160.85 356.690i −2.49774 0.767475i
\(61\) −292.330 315.057i −0.613591 0.661294i 0.347450 0.937698i \(-0.387048\pi\)
−0.961041 + 0.276404i \(0.910857\pi\)
\(62\) −309.553 388.167i −0.634085 0.795118i
\(63\) −433.504 249.241i −0.866927 0.498436i
\(64\) 520.699 652.935i 1.01699 1.27526i
\(65\) 332.033 24.8824i 0.633594 0.0474813i
\(66\) 546.472 + 505.946i 1.01918 + 0.943600i
\(67\) 389.716 675.008i 0.710617 1.23083i −0.254008 0.967202i \(-0.581749\pi\)
0.964626 0.263623i \(-0.0849176\pi\)
\(68\) 324.607 + 562.235i 0.578887 + 1.00266i
\(69\) 618.166 + 140.385i 1.07853 + 0.244932i
\(70\) −1422.10 685.499i −2.42819 1.17047i
\(71\) −431.832 98.5627i −0.721816 0.164750i −0.154196 0.988040i \(-0.549279\pi\)
−0.567620 + 0.823290i \(0.692136\pi\)
\(72\) −299.514 + 441.368i −0.490251 + 0.722441i
\(73\) −784.075 + 307.727i −1.25711 + 0.493379i −0.898033 0.439929i \(-0.855004\pi\)
−0.359077 + 0.933308i \(0.616908\pi\)
\(74\) 1701.77 667.895i 2.67333 1.04921i
\(75\) −1190.15 178.061i −1.83235 0.274143i
\(76\) 1216.24 + 277.600i 1.83569 + 0.418985i
\(77\) 366.456 + 459.872i 0.542358 + 0.680614i
\(78\) 91.5906 403.308i 0.132956 0.585457i
\(79\) −128.673 222.868i −0.183251 0.317400i 0.759735 0.650233i \(-0.225329\pi\)
−0.942986 + 0.332833i \(0.891995\pi\)
\(80\) 92.8579 160.835i 0.129773 0.224773i
\(81\) −361.748 + 632.914i −0.496224 + 0.868194i
\(82\) −221.566 + 16.6041i −0.298389 + 0.0223611i
\(83\) 382.593 479.756i 0.505964 0.634459i −0.461599 0.887089i \(-0.652724\pi\)
0.967563 + 0.252630i \(0.0812955\pi\)
\(84\) −809.486 + 873.674i −1.05145 + 1.13483i
\(85\) 617.599 + 774.445i 0.788095 + 0.988240i
\(86\) −1542.58 1662.51i −1.93420 2.08457i
\(87\) −9.38802 + 30.5533i −0.0115690 + 0.0376512i
\(88\) 518.254 353.339i 0.627796 0.428024i
\(89\) 244.879 + 36.9096i 0.291653 + 0.0439597i 0.293239 0.956039i \(-0.405267\pi\)
−0.00158598 + 0.999999i \(0.500505\pi\)
\(90\) −994.076 + 2075.77i −1.16428 + 2.43117i
\(91\) 119.417 303.938i 0.137564 0.350125i
\(92\) 655.108 1360.35i 0.742389 1.54159i
\(93\) −494.630 + 286.293i −0.551513 + 0.319217i
\(94\) 1014.96 1093.87i 1.11368 1.20026i
\(95\) 1898.11 + 142.244i 2.04992 + 0.153620i
\(96\) −716.313 770.319i −0.761546 0.818962i
\(97\) 861.243i 0.901505i 0.892649 + 0.450753i \(0.148844\pi\)
−0.892649 + 0.450753i \(0.851156\pi\)
\(98\) −1211.24 + 964.457i −1.24850 + 0.994131i
\(99\) 669.067 535.950i 0.679230 0.544091i
\(100\) −1047.18 + 2668.17i −1.04718 + 2.66817i
\(101\) 21.3869 285.388i 0.0210700 0.281160i −0.976710 0.214564i \(-0.931167\pi\)
0.997780 0.0665961i \(-0.0212139\pi\)
\(102\) 1144.83 450.752i 1.11133 0.437560i
\(103\) −238.147 + 349.297i −0.227818 + 0.334148i −0.923080 0.384609i \(-0.874336\pi\)
0.695261 + 0.718757i \(0.255289\pi\)
\(104\) −313.840 151.138i −0.295909 0.142502i
\(105\) −1022.62 + 1502.22i −0.950451 + 1.39621i
\(106\) 1732.64 834.394i 1.58763 0.764561i
\(107\) −326.880 + 2168.71i −0.295333 + 1.95941i −0.0136308 + 0.999907i \(0.504339\pi\)
−0.281703 + 0.959502i \(0.590899\pi\)
\(108\) 1276.70 + 1176.87i 1.13750 + 1.04856i
\(109\) 927.723 139.832i 0.815227 0.122876i 0.271823 0.962347i \(-0.412373\pi\)
0.543404 + 0.839471i \(0.317135\pi\)
\(110\) 1983.97 1840.85i 1.71967 1.59562i
\(111\) −470.505 2051.12i −0.402328 1.75391i
\(112\) −102.548 150.531i −0.0865168 0.126998i
\(113\) −601.626 479.781i −0.500851 0.399416i 0.340215 0.940348i \(-0.389500\pi\)
−0.841066 + 0.540932i \(0.818072\pi\)
\(114\) 861.369 2201.78i 0.707672 1.80891i
\(115\) 679.033 2201.37i 0.550610 1.78504i
\(116\) 65.9316 + 38.0656i 0.0527724 + 0.0304682i
\(117\) −443.542 172.964i −0.350474 0.136671i
\(118\) 405.120 92.4661i 0.316054 0.0721372i
\(119\) 947.212 215.825i 0.729670 0.166257i
\(120\) 1516.87 + 1206.96i 1.15392 + 0.918166i
\(121\) 308.570 95.1813i 0.231833 0.0715111i
\(122\) 708.790 + 1805.97i 0.525990 + 1.34020i
\(123\) −18.8355 + 255.068i −0.0138076 + 0.186981i
\(124\) 401.236 + 1300.77i 0.290581 + 0.942040i
\(125\) −447.908 + 1962.41i −0.320497 + 1.40419i
\(126\) 1410.54 + 1762.23i 0.997310 + 1.24597i
\(127\) 345.140 + 1512.16i 0.241152 + 1.05655i 0.939971 + 0.341256i \(0.110852\pi\)
−0.698819 + 0.715299i \(0.746291\pi\)
\(128\) −1862.23 + 1075.16i −1.28593 + 0.742434i
\(129\) −2155.41 + 1472.97i −1.47111 + 1.00533i
\(130\) −1436.23 443.020i −0.968970 0.298888i
\(131\) −155.950 2081.00i −0.104011 1.38792i −0.768128 0.640296i \(-0.778812\pi\)
0.664118 0.747628i \(-0.268807\pi\)
\(132\) −887.934 1838.69i −0.585490 1.21241i
\(133\) 934.001 1616.35i 0.608934 1.05380i
\(134\) −2750.78 + 2193.67i −1.77337 + 1.41421i
\(135\) 2193.82 + 1485.25i 1.39862 + 0.946890i
\(136\) −154.450 1024.71i −0.0973824 0.646090i
\(137\) −99.1494 145.425i −0.0618314 0.0906900i 0.794078 0.607816i \(-0.207954\pi\)
−0.855909 + 0.517126i \(0.827002\pi\)
\(138\) −2366.01 1609.35i −1.45948 0.992731i
\(139\) 148.868 + 309.127i 0.0908403 + 0.188632i 0.941439 0.337184i \(-0.109474\pi\)
−0.850599 + 0.525816i \(0.823760\pi\)
\(140\) 2942.90 + 3174.06i 1.77658 + 1.91612i
\(141\) −1072.43 1341.79i −0.640533 0.801412i
\(142\) 1652.01 + 1126.32i 0.976291 + 0.665624i
\(143\) 410.387 + 380.783i 0.239988 + 0.222676i
\(144\) −219.071 + 150.060i −0.126777 + 0.0868402i
\(145\) 108.129 + 42.4377i 0.0619287 + 0.0243052i
\(146\) 3802.17 2.15527
\(147\) 891.673 + 1543.19i 0.500299 + 0.865853i
\(148\) −5012.36 −2.78387
\(149\) −1754.30 688.513i −0.964551 0.378558i −0.169789 0.985480i \(-0.554309\pi\)
−0.794761 + 0.606922i \(0.792404\pi\)
\(150\) 4707.35 + 2710.96i 2.56235 + 1.47566i
\(151\) −2219.88 2059.75i −1.19637 1.11007i −0.991341 0.131311i \(-0.958081\pi\)
−0.205027 0.978756i \(-0.565728\pi\)
\(152\) −1645.30 1121.75i −0.877970 0.598590i
\(153\) −318.161 1380.10i −0.168116 0.729244i
\(154\) −781.444 2536.72i −0.408900 1.32737i
\(155\) 901.159 + 1871.28i 0.466986 + 0.969706i
\(156\) −637.749 + 937.598i −0.327313 + 0.481204i
\(157\) −76.7132 112.518i −0.0389960 0.0571967i 0.806246 0.591581i \(-0.201496\pi\)
−0.845242 + 0.534384i \(0.820544\pi\)
\(158\) 173.137 + 1148.69i 0.0871776 + 0.578386i
\(159\) −654.796 2114.62i −0.326596 1.05472i
\(160\) −2988.77 + 2383.47i −1.47677 + 1.17769i
\(161\) −1655.67 1537.39i −0.810468 0.752566i
\(162\) 2563.84 2062.92i 1.24342 1.00048i
\(163\) −173.412 2314.02i −0.0833291 1.11195i −0.869498 0.493937i \(-0.835557\pi\)
0.786169 0.618012i \(-0.212062\pi\)
\(164\) 582.124 + 179.561i 0.277172 + 0.0854963i
\(165\) −1757.78 2572.17i −0.829352 1.21360i
\(166\) −2398.85 + 1384.98i −1.12161 + 0.647560i
\(167\) 364.389 + 1596.49i 0.168846 + 0.739762i 0.986461 + 0.163997i \(0.0524386\pi\)
−0.817615 + 0.575765i \(0.804704\pi\)
\(168\) 1712.29 826.108i 0.786345 0.379379i
\(169\) −419.697 + 1838.81i −0.191032 + 0.836965i
\(170\) −1317.96 4272.73i −0.594607 1.92767i
\(171\) −2359.88 1355.64i −1.05535 0.606246i
\(172\) 2271.75 + 5788.31i 1.00709 + 2.56602i
\(173\) −1144.82 + 353.130i −0.503115 + 0.155190i −0.535916 0.844271i \(-0.680034\pi\)
0.0328006 + 0.999462i \(0.489557\pi\)
\(174\) 89.8356 112.902i 0.0391403 0.0491902i
\(175\) 3352.42 + 2675.50i 1.44811 + 1.15571i
\(176\) 304.427 69.4834i 0.130381 0.0297586i
\(177\) −36.2650 476.955i −0.0154002 0.202543i
\(178\) −968.111 558.939i −0.407657 0.235361i
\(179\) 1005.77 3260.64i 0.419973 1.36152i −0.460600 0.887608i \(-0.652366\pi\)
0.880573 0.473910i \(-0.157158\pi\)
\(180\) 4616.39 4302.13i 1.91159 1.78145i
\(181\) −395.484 315.388i −0.162409 0.129517i 0.538913 0.842362i \(-0.318835\pi\)
−0.701322 + 0.712844i \(0.747407\pi\)
\(182\) −1003.03 + 1080.21i −0.408515 + 0.439946i
\(183\) 2176.71 499.314i 0.879274 0.201696i
\(184\) −1766.71 + 1639.27i −0.707847 + 0.656786i
\(185\) −7562.31 + 1139.83i −3.00536 + 0.452985i
\(186\) 2550.58 387.277i 1.00547 0.152670i
\(187\) −248.227 + 1646.88i −0.0970702 + 0.644019i
\(188\) −3686.15 + 1775.16i −1.43000 + 0.688653i
\(189\) 2246.44 1305.67i 0.864575 0.502504i
\(190\) −7741.27 3728.00i −2.95585 1.42346i
\(191\) 2270.46 3330.15i 0.860129 1.26158i −0.103579 0.994621i \(-0.533030\pi\)
0.963709 0.266957i \(-0.0860181\pi\)
\(192\) 1589.79 + 4037.79i 0.597569 + 1.51772i
\(193\) 147.413 1967.09i 0.0549793 0.733648i −0.899794 0.436314i \(-0.856284\pi\)
0.954774 0.297334i \(-0.0960974\pi\)
\(194\) 1420.33 3618.94i 0.525637 1.33930i
\(195\) −748.978 + 1559.61i −0.275054 + 0.572749i
\(196\) 4057.46 1248.26i 1.47867 0.454905i
\(197\) 2237.22i 0.809112i −0.914513 0.404556i \(-0.867426\pi\)
0.914513 0.404556i \(-0.132574\pi\)
\(198\) −3695.28 + 1148.66i −1.32632 + 0.412281i
\(199\) 2560.21 + 191.861i 0.912001 + 0.0683450i 0.522460 0.852664i \(-0.325015\pi\)
0.389541 + 0.921009i \(0.372634\pi\)
\(200\) 3111.96 3353.90i 1.10024 1.18578i
\(201\) 2028.84 + 3505.24i 0.711957 + 1.23005i
\(202\) −560.518 + 1163.93i −0.195237 + 0.405414i
\(203\) 83.5406 77.4566i 0.0288838 0.0267802i
\(204\) −3373.41 + 3.67216i −1.15777 + 0.00126031i
\(205\) 919.102 + 138.532i 0.313136 + 0.0471976i
\(206\) 1576.74 1075.00i 0.533284 0.363587i
\(207\) −2235.14 + 2419.45i −0.750497 + 0.812384i
\(208\) −117.948 127.118i −0.0393185 0.0423752i
\(209\) 1995.39 + 2502.15i 0.660403 + 0.828120i
\(210\) 6774.44 4625.85i 2.22610 1.52007i
\(211\) −1121.61 + 1406.46i −0.365948 + 0.458884i −0.930381 0.366595i \(-0.880524\pi\)
0.564433 + 0.825479i \(0.309095\pi\)
\(212\) −5257.92 + 394.027i −1.70337 + 0.127650i
\(213\) 1563.63 1688.87i 0.502995 0.543284i
\(214\) 4950.09 8573.81i 1.58122 2.73876i
\(215\) 4743.74 + 8216.41i 1.50475 + 2.60630i
\(216\) −1210.71 2493.21i −0.381382 0.785376i
\(217\) 2036.99 + 0.756962i 0.637234 + 0.000236801i
\(218\) −4128.89 942.393i −1.28277 0.292784i
\(219\) 647.604 4328.54i 0.199822 1.33560i
\(220\) −6907.53 + 2711.01i −2.11684 + 0.830800i
\(221\) 860.977 337.909i 0.262062 0.102852i
\(222\) −1405.57 + 9394.74i −0.424936 + 2.84024i
\(223\) 958.295 + 218.725i 0.287768 + 0.0656811i 0.363968 0.931411i \(-0.381422\pi\)
−0.0762003 + 0.997093i \(0.524279\pi\)
\(224\) 832.920 + 3655.52i 0.248446 + 1.09038i
\(225\) 3888.05 4897.29i 1.15201 1.45105i
\(226\) 1736.79 + 3008.21i 0.511193 + 0.885413i
\(227\) 2846.97 4931.10i 0.832424 1.44180i −0.0636872 0.997970i \(-0.520286\pi\)
0.896111 0.443830i \(-0.146381\pi\)
\(228\) −4403.92 + 4756.67i −1.27919 + 1.38166i
\(229\) 3695.14 276.913i 1.06630 0.0799079i 0.469996 0.882669i \(-0.344255\pi\)
0.596301 + 0.802761i \(0.296636\pi\)
\(230\) −6483.71 + 8130.32i −1.85880 + 2.33086i
\(231\) −3021.01 + 457.559i −0.860467 + 0.130326i
\(232\) −75.7677 95.0097i −0.0214414 0.0268866i
\(233\) 540.753 + 582.793i 0.152042 + 0.163863i 0.804480 0.593980i \(-0.202444\pi\)
−0.652438 + 0.757842i \(0.726254\pi\)
\(234\) 1578.51 + 1458.27i 0.440986 + 0.407392i
\(235\) −5157.74 + 3516.48i −1.43172 + 0.976128i
\(236\) −1126.59 169.806i −0.310741 0.0468366i
\(237\) 1337.21 1.45563i 0.366501 0.000398959i
\(238\) −4336.11 655.211i −1.18096 0.178450i
\(239\) 1150.06 2388.13i 0.311261 0.646340i −0.685385 0.728181i \(-0.740366\pi\)
0.996645 + 0.0818416i \(0.0260802\pi\)
\(240\) 483.413 + 835.195i 0.130017 + 0.224632i
\(241\) −3668.14 + 3953.31i −0.980437 + 1.05666i 0.0179469 + 0.999839i \(0.494287\pi\)
−0.998384 + 0.0568214i \(0.981903\pi\)
\(242\) −1453.58 108.931i −0.386114 0.0289352i
\(243\) −1911.82 3270.14i −0.504706 0.863291i
\(244\) 5319.26i 1.39562i
\(245\) 5837.76 2805.97i 1.52229 0.731702i
\(246\) 499.795 1040.73i 0.129536 0.269734i
\(247\) 649.322 1654.44i 0.167269 0.426193i
\(248\) 162.377 2166.77i 0.0415765 0.554800i
\(249\) 1168.13 + 2966.84i 0.297298 + 0.755084i
\(250\) 5118.44 7507.37i 1.29487 1.89923i
\(251\) −608.701 293.135i −0.153071 0.0737152i 0.355780 0.934570i \(-0.384215\pi\)
−0.508851 + 0.860855i \(0.669930\pi\)
\(252\) −1834.86 5910.56i −0.458672 1.47750i
\(253\) 3489.80 1680.60i 0.867202 0.417622i
\(254\) 1043.52 6923.27i 0.257779 1.71025i
\(255\) −5088.73 + 772.670i −1.24968 + 0.189751i
\(256\) 2991.73 450.931i 0.730403 0.110091i
\(257\) −945.760 + 877.537i −0.229552 + 0.212993i −0.786560 0.617514i \(-0.788140\pi\)
0.557008 + 0.830507i \(0.311949\pi\)
\(258\) 11486.2 2634.80i 2.77170 0.635797i
\(259\) −2213.49 + 7166.49i −0.531040 + 1.71932i
\(260\) 3221.86 + 2569.35i 0.768506 + 0.612863i
\(261\) −113.231 121.503i −0.0268538 0.0288154i
\(262\) −2776.61 + 9001.54i −0.654731 + 2.12258i
\(263\) 2596.53 + 1499.11i 0.608780 + 0.351479i 0.772488 0.635030i \(-0.219012\pi\)
−0.163708 + 0.986509i \(0.552345\pi\)
\(264\) 247.103 + 3249.88i 0.0576065 + 0.757637i
\(265\) −7843.18 + 1790.16i −1.81812 + 0.414975i
\(266\) −6590.29 + 5251.57i −1.51908 + 1.21051i
\(267\) −801.212 + 1006.94i −0.183646 + 0.230799i
\(268\) 9218.04 2843.39i 2.10105 0.648088i
\(269\) −1137.08 2897.22i −0.257728 0.656679i 0.742181 0.670200i \(-0.233792\pi\)
−0.999909 + 0.0135201i \(0.995696\pi\)
\(270\) −6769.01 9858.98i −1.52574 2.22222i
\(271\) 1278.19 + 4143.78i 0.286510 + 0.928843i 0.978379 + 0.206820i \(0.0663115\pi\)
−0.691869 + 0.722023i \(0.743212\pi\)
\(272\) 114.795 502.951i 0.0255900 0.112117i
\(273\) 1058.91 + 1325.88i 0.234755 + 0.293941i
\(274\) 176.795 + 774.590i 0.0389802 + 0.170784i
\(275\) −6368.04 + 3676.59i −1.39639 + 0.806206i
\(276\) 4426.59 + 6477.46i 0.965397 + 1.41267i
\(277\) −3564.43 1099.48i −0.773162 0.238489i −0.117023 0.993129i \(-0.537335\pi\)
−0.656139 + 0.754640i \(0.727811\pi\)
\(278\) −115.741 1544.46i −0.0249701 0.333203i
\(279\) −6.46527 2969.64i −0.00138733 0.637232i
\(280\) −2521.79 6432.45i −0.538236 1.37290i
\(281\) −1476.57 + 1177.53i −0.313470 + 0.249984i −0.767567 0.640968i \(-0.778533\pi\)
0.454098 + 0.890952i \(0.349962\pi\)
\(282\) 2293.53 + 7406.80i 0.484318 + 1.56407i
\(283\) −521.344 3458.89i −0.109508 0.726536i −0.974440 0.224647i \(-0.927877\pi\)
0.864933 0.501888i \(-0.167361\pi\)
\(284\) −3088.12 4529.44i −0.645233 0.946383i
\(285\) −5562.64 + 8178.00i −1.15615 + 1.69973i
\(286\) −1096.47 2276.84i −0.226698 0.470743i
\(287\) 513.800 753.004i 0.105675 0.154873i
\(288\) 5326.14 1227.86i 1.08974 0.251224i
\(289\) −1785.85 1217.57i −0.363495 0.247827i
\(290\) −384.372 356.646i −0.0778315 0.0722171i
\(291\) −3878.03 2233.36i −0.781217 0.449902i
\(292\) −9704.08 3808.57i −1.94482 0.763287i
\(293\) −6098.87 −1.21604 −0.608020 0.793922i \(-0.708036\pi\)
−0.608020 + 0.793922i \(0.708036\pi\)
\(294\) −1201.83 7954.99i −0.238409 1.57804i
\(295\) −1738.34 −0.343084
\(296\) 7447.75 + 2923.02i 1.46247 + 0.573978i
\(297\) 678.282 + 4402.50i 0.132518 + 0.860132i
\(298\) 6236.10 + 5786.25i 1.21224 + 1.12479i
\(299\) −1777.29 1211.74i −0.343757 0.234370i
\(300\) −9298.80 11634.3i −1.78955 2.23903i
\(301\) 9279.14 691.908i 1.77688 0.132495i
\(302\) 5931.07 + 12316.0i 1.13012 + 2.34671i
\(303\) 1229.59 + 836.362i 0.233129 + 0.158573i
\(304\) −558.430 819.066i −0.105356 0.154528i
\(305\) −1209.63 8025.34i −0.227092 1.50665i
\(306\) −939.093 + 6323.86i −0.175439 + 1.18141i
\(307\) 1025.90 818.129i 0.190721 0.152095i −0.523474 0.852041i \(-0.675364\pi\)
0.714195 + 0.699947i \(0.246793\pi\)
\(308\) −546.558 + 7257.11i −0.101114 + 1.34257i
\(309\) −955.267 1978.12i −0.175868 0.364179i
\(310\) −700.629 9349.24i −0.128365 1.71291i
\(311\) 8904.05 + 2746.54i 1.62348 + 0.500777i 0.967259 0.253791i \(-0.0816776\pi\)
0.656221 + 0.754569i \(0.272154\pi\)
\(312\) 1494.39 1021.24i 0.271164 0.185309i
\(313\) −4982.66 + 2876.74i −0.899797 + 0.519498i −0.877134 0.480245i \(-0.840548\pi\)
−0.0226627 + 0.999743i \(0.507214\pi\)
\(314\) 136.789 + 599.310i 0.0245842 + 0.107710i
\(315\) −4112.40 8500.20i −0.735580 1.52042i
\(316\) 708.736 3105.17i 0.126169 0.552784i
\(317\) −380.037 1232.05i −0.0673344 0.218293i 0.915652 0.401972i \(-0.131675\pi\)
−0.982986 + 0.183680i \(0.941199\pi\)
\(318\) −735.902 + 9965.49i −0.129771 + 1.75735i
\(319\) 71.3531 + 181.805i 0.0125235 + 0.0319095i
\(320\) 15069.8 4648.42i 2.63259 0.812045i
\(321\) −8917.65 7095.72i −1.55058 1.23378i
\(322\) 4421.73 + 9190.56i 0.765260 + 1.59059i
\(323\) 5154.83 1176.56i 0.887995 0.202679i
\(324\) −8609.94 + 2696.93i −1.47633 + 0.462436i
\(325\) 3536.45 + 2041.77i 0.603591 + 0.348483i
\(326\) −3087.51 + 10009.5i −0.524544 + 1.70053i
\(327\) −1776.11 + 4539.99i −0.300365 + 0.767773i
\(328\) −760.250 606.279i −0.127981 0.102062i
\(329\) 910.230 + 6054.25i 0.152531 + 1.01453i
\(330\) 3144.26 + 13707.1i 0.524502 + 2.28652i
\(331\) 7190.36 6671.68i 1.19401 1.10788i 0.202310 0.979322i \(-0.435155\pi\)
0.991702 0.128559i \(-0.0410352\pi\)
\(332\) 7509.77 1131.92i 1.24142 0.187114i
\(333\) 10456.0 + 3200.32i 1.72067 + 0.526656i
\(334\) 1101.71 7309.38i 0.180488 1.19746i
\(335\) 13260.9 6386.14i 2.16276 1.04153i
\(336\) 943.738 71.4039i 0.153230 0.0115935i
\(337\) 6471.88 + 3116.69i 1.04613 + 0.503790i 0.876341 0.481691i \(-0.159977\pi\)
0.169789 + 0.985480i \(0.445691\pi\)
\(338\) 4796.06 7034.53i 0.771808 1.13203i
\(339\) 3720.49 1464.86i 0.596075 0.234691i
\(340\) −916.157 + 12225.3i −0.146134 + 1.95002i
\(341\) −1275.82 + 3250.73i −0.202608 + 0.516237i
\(342\) 7680.54 + 9588.19i 1.21437 + 1.51599i
\(343\) 7.08187 6352.44i 0.00111483 0.999999i
\(344\) 9925.52i 1.55566i
\(345\) 8151.54 + 8766.12i 1.27207 + 1.36798i
\(346\) 5392.89 + 404.141i 0.837929 + 0.0627941i
\(347\) 2398.09 2584.53i 0.370998 0.399840i −0.519765 0.854309i \(-0.673980\pi\)
0.890763 + 0.454469i \(0.150171\pi\)
\(348\) −342.375 + 198.168i −0.0527392 + 0.0305256i
\(349\) −3637.17 + 7552.65i −0.557860 + 1.15841i 0.411192 + 0.911549i \(0.365113\pi\)
−0.969052 + 0.246859i \(0.920602\pi\)
\(350\) −9674.50 16771.1i −1.47750 2.56130i
\(351\) 1929.01 1548.67i 0.293342 0.235503i
\(352\) −6355.70 957.967i −0.962386 0.145056i
\(353\) 4384.81 2989.52i 0.661134 0.450753i −0.185703 0.982606i \(-0.559456\pi\)
0.846837 + 0.531853i \(0.178504\pi\)
\(354\) −634.190 + 2063.97i −0.0952170 + 0.309883i
\(355\) −5689.16 6131.45i −0.850561 0.916686i
\(356\) 1910.98 + 2396.29i 0.284499 + 0.356751i
\(357\) −1484.47 + 4824.80i −0.220074 + 0.715282i
\(358\) −9603.58 + 12042.5i −1.41778 + 1.77784i
\(359\) −10501.8 + 787.000i −1.54391 + 0.115700i −0.819261 0.573421i \(-0.805616\pi\)
−0.724647 + 0.689121i \(0.757997\pi\)
\(360\) −9368.23 + 3700.32i −1.37153 + 0.541733i
\(361\) 1650.60 2858.92i 0.240647 0.416813i
\(362\) 1141.70 + 1977.48i 0.165763 + 0.287110i
\(363\) −371.592 + 1636.26i −0.0537287 + 0.236588i
\(364\) 3642.01 1752.23i 0.524433 0.252313i
\(365\) −15506.9 3539.36i −2.22375 0.507557i
\(366\) −9969.97 1491.63i −1.42388 0.213030i
\(367\) 7857.37 3083.79i 1.11758 0.438617i 0.266595 0.963809i \(-0.414101\pi\)
0.850984 + 0.525191i \(0.176006\pi\)
\(368\) −1116.85 + 438.332i −0.158206 + 0.0620915i
\(369\) −1099.68 746.249i −0.155141 0.105280i
\(370\) 33656.5 + 7681.88i 4.72897 + 1.07936i
\(371\) −1758.56 + 7691.58i −0.246092 + 1.07635i
\(372\) −6897.63 1566.44i −0.961359 0.218323i
\(373\) 4163.75 + 7211.83i 0.577992 + 1.00111i 0.995710 + 0.0925341i \(0.0294967\pi\)
−0.417718 + 0.908577i \(0.637170\pi\)
\(374\) 3759.01 6510.80i 0.519716 0.900174i
\(375\) −7674.90 7105.73i −1.05688 0.978503i
\(376\) 6512.37 488.035i 0.893218 0.0669374i
\(377\) 67.6248 84.7988i 0.00923834 0.0115845i
\(378\) −11592.8 + 1781.66i −1.57743 + 0.242430i
\(379\) −5887.10 7382.19i −0.797889 1.00052i −0.999777 0.0211127i \(-0.993279\pi\)
0.201888 0.979409i \(-0.435292\pi\)
\(380\) 16023.4 + 17269.1i 2.16311 + 2.33128i
\(381\) −7704.00 2367.19i −1.03593 0.318306i
\(382\) −15032.4 + 10248.9i −2.01342 + 1.37272i
\(383\) −9828.94 1481.47i −1.31132 0.197650i −0.544093 0.839025i \(-0.683126\pi\)
−0.767227 + 0.641376i \(0.778364\pi\)
\(384\) −12.1629 11173.4i −0.00161637 1.48487i
\(385\) 825.693 + 11073.3i 0.109302 + 1.46584i
\(386\) −3863.47 + 8022.58i −0.509444 + 1.05787i
\(387\) −1043.18 13525.1i −0.137023 1.77654i
\(388\) −7250.06 + 7813.71i −0.948624 + 1.02237i
\(389\) 8640.39 + 647.508i 1.12618 + 0.0843958i 0.624768 0.780811i \(-0.285194\pi\)
0.501416 + 0.865206i \(0.332813\pi\)
\(390\) 5719.25 5318.29i 0.742578 0.690518i
\(391\) 6399.32i 0.827692i
\(392\) −6756.82 511.404i −0.870589 0.0658923i
\(393\) 9774.79 + 4694.19i 1.25464 + 0.602521i
\(394\) −3689.53 + 9400.76i −0.471766 + 1.20204i
\(395\) 363.161 4846.04i 0.0462597 0.617293i
\(396\) 10581.9 + 769.838i 1.34283 + 0.0976915i
\(397\) 1957.74 2871.47i 0.247496 0.363010i −0.682308 0.731065i \(-0.739024\pi\)
0.929804 + 0.368055i \(0.119976\pi\)
\(398\) −10441.6 5028.39i −1.31504 0.633292i
\(399\) 4856.11 + 8397.13i 0.609298 + 1.05359i
\(400\) 2052.10 988.239i 0.256512 0.123530i
\(401\) 613.345 4069.28i 0.0763815 0.506758i −0.917626 0.397445i \(-0.869897\pi\)
0.994007 0.109313i \(-0.0348650\pi\)
\(402\) −2744.47 18074.9i −0.340502 2.24252i
\(403\) 1917.67 289.042i 0.237037 0.0357276i
\(404\) 2596.47 2409.17i 0.319750 0.296685i
\(405\) −12376.8 + 6026.88i −1.51854 + 0.739452i
\(406\) −478.776 + 187.700i −0.0585252 + 0.0229444i
\(407\) −10053.3 8017.21i −1.22438 0.976408i
\(408\) 5014.61 + 1961.79i 0.608481 + 0.238047i
\(409\) 4051.46 13134.5i 0.489808 1.58792i −0.286835 0.957980i \(-0.592603\pi\)
0.776644 0.629940i \(-0.216921\pi\)
\(410\) −3633.60 2097.86i −0.437684 0.252697i
\(411\) 911.937 69.3386i 0.109447 0.00832170i
\(412\) −5101.04 + 1164.28i −0.609976 + 0.139223i
\(413\) −740.291 + 1535.77i −0.0882018 + 0.182979i
\(414\) 13382.1 6480.41i 1.58863 0.769311i
\(415\) 11072.8 3415.51i 1.30974 0.404002i
\(416\) 1304.07 + 3322.72i 0.153696 + 0.391610i
\(417\) −1777.99 131.295i −0.208797 0.0154186i
\(418\) −4258.19 13804.7i −0.498266 1.61534i
\(419\) 628.927 2755.51i 0.0733295 0.321278i −0.924938 0.380118i \(-0.875883\pi\)
0.998267 + 0.0588407i \(0.0187404\pi\)
\(420\) −21923.7 + 5020.48i −2.54706 + 0.583272i
\(421\) 183.325 + 803.199i 0.0212226 + 0.0929822i 0.984430 0.175777i \(-0.0562437\pi\)
−0.963207 + 0.268759i \(0.913387\pi\)
\(422\) 7032.49 4060.21i 0.811223 0.468360i
\(423\) 8822.85 1349.48i 1.01414 0.155116i
\(424\) 8042.40 + 2480.75i 0.921163 + 0.284141i
\(425\) 907.847 + 12114.4i 0.103617 + 1.38267i
\(426\) −9355.56 + 4517.95i −1.06403 + 0.513840i
\(427\) −7605.29 2349.02i −0.861934 0.266222i
\(428\) −21222.1 + 16924.1i −2.39675 + 1.91135i
\(429\) −2778.81 + 860.462i −0.312732 + 0.0968380i
\(430\) −6383.01 42348.5i −0.715851 4.74936i
\(431\) 1874.33 + 2749.13i 0.209474 + 0.307242i 0.916569 0.399877i \(-0.130947\pi\)
−0.707095 + 0.707118i \(0.749995\pi\)
\(432\) −107.603 1375.57i −0.0119840 0.153200i
\(433\) −2597.39 5393.53i −0.288274 0.598606i 0.705665 0.708546i \(-0.250649\pi\)
−0.993938 + 0.109940i \(0.964934\pi\)
\(434\) −8558.16 3362.50i −0.946555 0.371901i
\(435\) −471.488 + 376.840i −0.0519681 + 0.0415358i
\(436\) 9593.98 + 6541.07i 1.05383 + 0.718487i
\(437\) −9014.23 8363.99i −0.986749 0.915569i
\(438\) −9859.69 + 17120.5i −1.07560 + 1.86769i
\(439\) −9730.20 3818.82i −1.05785 0.415176i −0.228291 0.973593i \(-0.573314\pi\)
−0.829561 + 0.558417i \(0.811409\pi\)
\(440\) 11844.7 1.28335
\(441\) −9260.99 + 13.2794i −0.999999 + 0.00143390i
\(442\) −4175.09 −0.449296
\(443\) 5572.24 + 2186.94i 0.597619 + 0.234548i 0.644816 0.764337i \(-0.276934\pi\)
−0.0471976 + 0.998886i \(0.515029\pi\)
\(444\) 12997.9 22569.8i 1.38931 2.41242i
\(445\) 3428.08 + 3180.80i 0.365184 + 0.338841i
\(446\) −3666.04 2499.46i −0.389220 0.265365i
\(447\) 7649.47 6113.88i 0.809413 0.646928i
\(448\) 2310.91 15293.3i 0.243706 1.61282i
\(449\) −842.404 1749.27i −0.0885423 0.183860i 0.851995 0.523549i \(-0.175392\pi\)
−0.940538 + 0.339689i \(0.889678\pi\)
\(450\) −24414.0 + 14166.4i −2.55752 + 1.48402i
\(451\) 880.356 + 1291.25i 0.0919165 + 0.134817i
\(452\) −1419.45 9417.42i −0.147711 0.979996i
\(453\) 15031.2 4654.45i 1.55901 0.482749i
\(454\) −20095.1 + 16025.3i −2.07734 + 1.65662i
\(455\) 5096.36 3471.86i 0.525101 0.357722i
\(456\) 9317.59 4499.61i 0.956877 0.462092i
\(457\) −429.603 5732.65i −0.0439737 0.586788i −0.975053 0.221972i \(-0.928751\pi\)
0.931079 0.364816i \(-0.118868\pi\)
\(458\) −15983.6 4930.30i −1.63071 0.503008i
\(459\) 7039.39 + 2146.21i 0.715840 + 0.218250i
\(460\) 24692.1 14256.0i 2.50277 1.44497i
\(461\) 539.524 + 2363.81i 0.0545079 + 0.238815i 0.994842 0.101438i \(-0.0323444\pi\)
−0.940334 + 0.340253i \(0.889487\pi\)
\(462\) 13448.9 + 3059.47i 1.35432 + 0.308094i
\(463\) −1476.80 + 6470.30i −0.148235 + 0.649461i 0.845140 + 0.534545i \(0.179517\pi\)
−0.993375 + 0.114916i \(0.963340\pi\)
\(464\) −17.8316 57.8086i −0.00178407 0.00578383i
\(465\) −10762.9 794.786i −1.07337 0.0792631i
\(466\) −1311.12 3340.68i −0.130336 0.332090i
\(467\) −16207.6 + 4999.39i −1.60599 + 0.495384i −0.962776 0.270299i \(-0.912877\pi\)
−0.643218 + 0.765683i \(0.722401\pi\)
\(468\) −2568.04 5303.03i −0.253649 0.523788i
\(469\) 5.36427 14435.3i 0.000528143 1.42123i
\(470\) 27472.0 6270.31i 2.69615 0.615378i
\(471\) 705.578 53.6482i 0.0690261 0.00524836i
\(472\) 1574.95 + 909.297i 0.153587 + 0.0886733i
\(473\) −4701.91 + 15243.2i −0.457070 + 1.48178i
\(474\) −5621.33 2199.15i −0.544718 0.213102i
\(475\) 18251.2 + 14554.8i 1.76299 + 1.40594i
\(476\) 10410.5 + 6015.67i 1.00245 + 0.579260i
\(477\) 11219.8 + 2535.15i 1.07698 + 0.243347i
\(478\) −8770.96 + 8138.26i −0.839277 + 0.778735i
\(479\) −15422.2 + 2324.53i −1.47111 + 0.221733i −0.835163 0.550003i \(-0.814627\pi\)
−0.635943 + 0.771736i \(0.719389\pi\)
\(480\) −2981.92 19638.7i −0.283553 1.86746i
\(481\) −1064.30 + 7061.19i −0.100890 + 0.669361i
\(482\) 21933.1 10562.4i 2.07267 0.998145i
\(483\) 11216.0 3468.50i 1.05662 0.326754i
\(484\) 3600.78 + 1734.04i 0.338165 + 0.162852i
\(485\) −9161.53 + 13437.5i −0.857739 + 1.25807i
\(486\) 2640.48 + 16894.0i 0.246450 + 1.57681i
\(487\) −1048.03 + 13984.9i −0.0975167 + 1.30127i 0.706946 + 0.707267i \(0.250072\pi\)
−0.804463 + 0.594003i \(0.797547\pi\)
\(488\) −3102.00 + 7903.77i −0.287748 + 0.733169i
\(489\) 10869.3 + 5219.81i 1.00517 + 0.482716i
\(490\) −29157.7 + 2163.28i −2.68819 + 0.199443i
\(491\) 12450.0i 1.14432i 0.820142 + 0.572161i \(0.193895\pi\)
−0.820142 + 0.572161i \(0.806105\pi\)
\(492\) −2318.08 + 2155.57i −0.212413 + 0.197521i
\(493\) 321.767 + 24.1131i 0.0293948 + 0.00220284i
\(494\) −5456.89 + 5881.13i −0.496998 + 0.535637i
\(495\) 16140.3 1244.89i 1.46556 0.113038i
\(496\) 469.328 974.570i 0.0424868 0.0882248i
\(497\) −7839.75 + 2415.05i −0.707567 + 0.217968i
\(498\) −15.6677 14393.1i −0.00140982 1.29512i
\(499\) 12035.1 + 1814.00i 1.07969 + 0.162737i 0.664716 0.747096i \(-0.268553\pi\)
0.414974 + 0.909833i \(0.363791\pi\)
\(500\) −20583.6 + 14033.6i −1.84105 + 1.25521i
\(501\) −8133.65 2499.20i −0.725318 0.222867i
\(502\) 2074.33 + 2235.60i 0.184426 + 0.198764i
\(503\) −12024.0 15077.7i −1.06585 1.33654i −0.938730 0.344653i \(-0.887997\pi\)
−0.127125 0.991887i \(-0.540575\pi\)
\(504\) −720.448 + 9852.39i −0.0636732 + 0.870754i
\(505\) 3369.52 4225.24i 0.296914 0.372318i
\(506\) −17435.7 + 1306.63i −1.53184 + 0.114796i
\(507\) −7191.50 6658.18i −0.629952 0.583235i
\(508\) −9598.24 + 16624.6i −0.838294 + 1.45197i
\(509\) −1418.08 2456.19i −0.123488 0.213888i 0.797653 0.603117i \(-0.206075\pi\)
−0.921141 + 0.389229i \(0.872741\pi\)
\(510\) 22657.1 + 5145.39i 1.96720 + 0.446748i
\(511\) −9730.73 + 12192.6i −0.842391 + 1.05552i
\(512\) 3456.36 + 788.892i 0.298342 + 0.0680946i
\(513\) 12223.8 7110.73i 1.05203 0.611981i
\(514\) 5421.27 2127.69i 0.465218 0.182585i
\(515\) −7431.33 + 2916.58i −0.635852 + 0.249553i
\(516\) −31954.8 4780.84i −2.72622 0.407878i
\(517\) −10232.6 2335.53i −0.870466 0.198678i
\(518\) 21119.7 26463.1i 1.79141 2.24464i
\(519\) 1378.63 6070.64i 0.116600 0.513433i
\(520\) −3288.94 5696.61i −0.277364 0.480409i
\(521\) −7579.29 + 13127.7i −0.637341 + 1.10391i 0.348673 + 0.937245i \(0.386632\pi\)
−0.986014 + 0.166663i \(0.946701\pi\)
\(522\) 275.419 + 697.289i 0.0230934 + 0.0584665i
\(523\) 7530.78 564.354i 0.629633 0.0471845i 0.243908 0.969798i \(-0.421570\pi\)
0.385725 + 0.922614i \(0.373951\pi\)
\(524\) 16103.3 20192.9i 1.34251 1.68346i
\(525\) −20740.7 + 8157.30i −1.72419 + 0.678121i
\(526\) −8438.35 10581.4i −0.699485 0.877127i
\(527\) 3924.20 + 4229.28i 0.324366 + 0.349583i
\(528\) −476.561 + 1550.96i −0.0392796 + 0.127835i
\(529\) −2243.94 + 1529.89i −0.184428 + 0.125741i
\(530\) 35909.3 + 5412.45i 2.94302 + 0.443588i
\(531\) 2241.69 + 1073.53i 0.183203 + 0.0877351i
\(532\) 22080.5 6801.94i 1.79946 0.554326i
\(533\) 376.564 781.943i 0.0306019 0.0635454i
\(534\) 5027.29 2909.81i 0.407401 0.235805i
\(535\) −28169.9 + 30359.9i −2.27643 + 2.45341i
\(536\) −15355.0 1150.70i −1.23738 0.0927289i
\(537\) 12073.9 + 12984.2i 0.970259 + 1.04341i
\(538\) 14049.3i 1.12585i
\(539\) 10134.6 + 3986.23i 0.809885 + 0.318551i
\(540\) 7400.61 + 31943.0i 0.589762 + 2.54557i
\(541\) −7748.27 + 19742.3i −0.615757 + 1.56892i 0.193267 + 0.981146i \(0.438092\pi\)
−0.809024 + 0.587776i \(0.800004\pi\)
\(542\) 1462.83 19520.1i 0.115929 1.54697i
\(543\) 2445.70 962.939i 0.193287 0.0761026i
\(544\) −5981.90 + 8773.83i −0.471455 + 0.691498i
\(545\) 15962.2 + 7687.00i 1.25458 + 0.604174i
\(546\) −2262.94 7317.65i −0.177372 0.573565i
\(547\) 3236.18 1558.46i 0.252960 0.121819i −0.303107 0.952956i \(-0.598024\pi\)
0.556067 + 0.831137i \(0.312310\pi\)
\(548\) 324.669 2154.04i 0.0253087 0.167912i
\(549\) −3396.27 + 11096.2i −0.264024 + 0.862609i
\(550\) 32821.7 4947.08i 2.54459 0.383535i
\(551\) 454.519 421.732i 0.0351419 0.0326069i
\(552\) −2799.95 12206.1i −0.215895 0.941172i
\(553\) −4126.68 2384.59i −0.317332 0.183369i
\(554\) 13164.5 + 10498.3i 1.00958 + 0.805111i
\(555\) 14477.9 37007.5i 1.10730 2.83042i
\(556\) −1251.66 + 4057.77i −0.0954714 + 0.309511i
\(557\) 3813.27 + 2201.59i 0.290078 + 0.167477i 0.637977 0.770055i \(-0.279771\pi\)
−0.347899 + 0.937532i \(0.613105\pi\)
\(558\) −4870.25 + 12489.1i −0.369488 + 0.947499i
\(559\) 8636.69 1971.27i 0.653476 0.149152i
\(560\) 1.27815 3439.50i 9.64494e−5 0.259546i
\(561\) −6771.90 5388.36i −0.509643 0.405520i
\(562\) 8146.48 2512.86i 0.611456 0.188609i
\(563\) 609.391 + 1552.70i 0.0456177 + 0.116232i 0.951867 0.306512i \(-0.0991621\pi\)
−0.906249 + 0.422744i \(0.861067\pi\)
\(564\) 1565.62 21201.4i 0.116887 1.58287i
\(565\) −4283.13 13885.6i −0.318925 1.03393i
\(566\) −3513.58 + 15394.0i −0.260931 + 1.14321i
\(567\) 53.7704 + 13501.2i 0.00398262 + 0.999992i
\(568\) 1947.16 + 8531.06i 0.143840 + 0.630203i
\(569\) 13716.0 7918.96i 1.01056 0.583445i 0.0992020 0.995067i \(-0.468371\pi\)
0.911355 + 0.411622i \(0.135038\pi\)
\(570\) 36861.0 25190.2i 2.70866 1.85106i
\(571\) −2268.69 699.799i −0.166273 0.0512884i 0.210501 0.977594i \(-0.432490\pi\)
−0.376774 + 0.926305i \(0.622967\pi\)
\(572\) 517.787 + 6909.38i 0.0378492 + 0.505063i
\(573\) 9107.39 + 18859.2i 0.663991 + 1.37496i
\(574\) −3400.81 + 2316.78i −0.247294 + 0.168468i
\(575\) 22089.3 17615.7i 1.60207 1.27761i
\(576\) −22304.1 3312.15i −1.61343 0.239594i
\(577\) −2995.86 19876.2i −0.216151 1.43407i −0.788993 0.614402i \(-0.789397\pi\)
0.572842 0.819666i \(-0.305841\pi\)
\(578\) 5496.17 + 8061.40i 0.395520 + 0.580121i
\(579\) 8475.18 + 5764.78i 0.608319 + 0.413775i
\(580\) 623.768 + 1295.27i 0.0446562 + 0.0927295i
\(581\) 1697.98 11237.0i 0.121247 0.802395i
\(582\) 12612.3 + 15780.0i 0.898275 + 1.12389i
\(583\) −11176.0 7619.68i −0.793933 0.541295i
\(584\) 12198.0 + 11318.1i 0.864312 + 0.801964i
\(585\) −5080.42 7416.86i −0.359059 0.524187i
\(586\) 25627.4 + 10058.0i 1.80658 + 0.709032i
\(587\) 1829.41 0.128634 0.0643169 0.997930i \(-0.479513\pi\)
0.0643169 + 0.997930i \(0.479513\pi\)
\(588\) −4901.02 + 21507.0i −0.343732 + 1.50839i
\(589\) 11086.4 0.775567
\(590\) 7304.48 + 2866.80i 0.509696 + 0.200041i
\(591\) 10073.8 + 5801.49i 0.701151 + 0.403793i
\(592\) 2919.73 + 2709.11i 0.202703 + 0.188081i
\(593\) −6788.73 4628.48i −0.470118 0.320521i 0.304984 0.952358i \(-0.401349\pi\)
−0.775102 + 0.631837i \(0.782301\pi\)
\(594\) 4410.30 19617.9i 0.304641 1.35510i
\(595\) 17074.7 + 6708.63i 1.17646 + 0.462230i
\(596\) −10120.1 21014.6i −0.695528 1.44428i
\(597\) −7502.98 + 11030.6i −0.514366 + 0.756204i
\(598\) 5469.82 + 8022.75i 0.374043 + 0.548620i
\(599\) −1157.63 7680.40i −0.0789643 0.523894i −0.992986 0.118229i \(-0.962278\pi\)
0.914022 0.405665i \(-0.132960\pi\)
\(600\) 7032.15 + 22709.9i 0.478477 + 1.54521i
\(601\) 6849.35 5462.18i 0.464877 0.370727i −0.362860 0.931844i \(-0.618200\pi\)
0.827737 + 0.561117i \(0.189628\pi\)
\(602\) −40131.9 12395.4i −2.71704 0.839200i
\(603\) −21044.6 + 45.8167i −1.42123 + 0.00309420i
\(604\) −2800.84 37374.6i −0.188683 2.51780i
\(605\) 5826.94 + 1797.37i 0.391568 + 0.120783i
\(606\) −3787.44 5542.18i −0.253885 0.371511i
\(607\) −7220.38 + 4168.69i −0.482811 + 0.278751i −0.721587 0.692324i \(-0.756587\pi\)
0.238776 + 0.971075i \(0.423254\pi\)
\(608\) 4540.62 + 19893.7i 0.302872 + 1.32697i
\(609\) 132.138 + 577.028i 0.00879229 + 0.0383946i
\(610\) −8152.24 + 35717.3i −0.541106 + 2.37074i
\(611\) 1718.06 + 5569.82i 0.113757 + 0.368790i
\(612\) 8731.31 15199.4i 0.576703 1.00392i
\(613\) −3057.93 7791.48i −0.201482 0.513369i 0.794043 0.607861i \(-0.207972\pi\)
−0.995526 + 0.0944926i \(0.969877\pi\)
\(614\) −5660.06 + 1745.90i −0.372022 + 0.114753i
\(615\) −3007.18 + 3779.32i −0.197173 + 0.247800i
\(616\) 5044.20 10464.4i 0.329930 0.684455i
\(617\) −18693.0 + 4266.56i −1.21970 + 0.278387i −0.783458 0.621444i \(-0.786546\pi\)
−0.436237 + 0.899832i \(0.643689\pi\)
\(618\) 751.785 + 9887.44i 0.0489340 + 0.643578i
\(619\) 2461.99 + 1421.43i 0.159864 + 0.0922974i 0.577798 0.816180i \(-0.303912\pi\)
−0.417934 + 0.908477i \(0.637246\pi\)
\(620\) −7576.81 + 24563.4i −0.490793 + 1.59111i
\(621\) −5098.25 16338.5i −0.329446 1.05578i
\(622\) −32885.3 26225.1i −2.11990 1.69057i
\(623\) 4270.03 1674.03i 0.274599 0.107654i
\(624\) 878.251 201.461i 0.0563432 0.0129245i
\(625\) −6642.47 + 6163.32i −0.425118 + 0.394452i
\(626\) 25681.3 3870.83i 1.63967 0.247140i
\(627\) −16441.1 + 2496.41i −1.04720 + 0.159006i
\(628\) 251.201 1666.61i 0.0159618 0.105900i
\(629\) −19140.2 + 9217.42i −1.21330 + 0.584297i
\(630\) 3262.09 + 42499.8i 0.206293 + 2.68767i
\(631\) −11320.6 5451.72i −0.714209 0.343945i 0.0412425 0.999149i \(-0.486868\pi\)
−0.755452 + 0.655204i \(0.772583\pi\)
\(632\) −2863.92 + 4200.59i −0.180254 + 0.264384i
\(633\) −3424.50 8697.62i −0.215026 0.546129i
\(634\) −434.935 + 5803.80i −0.0272452 + 0.363562i
\(635\) −10700.6 + 27264.8i −0.668728 + 1.70389i
\(636\) 11860.5 24697.3i 0.739463 1.53980i
\(637\) −896.947 5981.02i −0.0557902 0.372020i
\(638\) 881.615i 0.0547077i
\(639\) 3549.94 + 11420.3i 0.219770 + 0.707010i
\(640\) −40492.4 3034.49i −2.50094 0.187420i
\(641\) 7906.19 8520.85i 0.487170 0.525044i −0.440847 0.897582i \(-0.645322\pi\)
0.928017 + 0.372538i \(0.121512\pi\)
\(642\) 25769.9 + 44522.8i 1.58420 + 2.73703i
\(643\) −3032.37 + 6296.78i −0.185980 + 0.386191i −0.973023 0.230706i \(-0.925896\pi\)
0.787044 + 0.616897i \(0.211611\pi\)
\(644\) −2079.33 27885.8i −0.127232 1.70629i
\(645\) −49298.4 + 53.6643i −3.00949 + 0.00327601i
\(646\) −23600.9 3557.26i −1.43741 0.216654i
\(647\) 11267.2 7681.86i 0.684637 0.466778i −0.170379 0.985379i \(-0.554499\pi\)
0.855017 + 0.518601i \(0.173547\pi\)
\(648\) 14366.1 + 1013.70i 0.870914 + 0.0614537i
\(649\) −1987.99 2142.55i −0.120240 0.129587i
\(650\) −11492.9 14411.7i −0.693523 0.869650i
\(651\) −5285.67 + 9170.23i −0.318221 + 0.552089i
\(652\) 17906.4 22453.9i 1.07557 1.34872i
\(653\) 11149.4 835.535i 0.668164 0.0500720i 0.263671 0.964613i \(-0.415067\pi\)
0.404494 + 0.914541i \(0.367448\pi\)
\(654\) 14950.4 16147.9i 0.893893 0.965493i
\(655\) 19703.6 34127.6i 1.17539 2.03584i
\(656\) −242.040 419.225i −0.0144056 0.0249512i
\(657\) 17811.3 + 14140.7i 1.05766 + 0.839698i
\(658\) 6159.64 26941.0i 0.364936 1.59616i
\(659\) 1100.44 + 251.168i 0.0650486 + 0.0148469i 0.254921 0.966962i \(-0.417950\pi\)
−0.189873 + 0.981809i \(0.560808\pi\)
\(660\) 5705.26 38133.5i 0.336480 2.24901i
\(661\) −10949.9 + 4297.53i −0.644330 + 0.252881i −0.664929 0.746907i \(-0.731538\pi\)
0.0205983 + 0.999788i \(0.493443\pi\)
\(662\) −41216.5 + 16176.3i −2.41983 + 0.949712i
\(663\) −711.122 + 4753.09i −0.0416556 + 0.278423i
\(664\) −11818.7 2697.53i −0.690743 0.157658i
\(665\) 31766.7 15283.5i 1.85242 0.891232i
\(666\) −38658.0 30691.3i −2.24920 1.78568i
\(667\) −375.214 649.890i −0.0217816 0.0377269i
\(668\) −10133.5 + 17551.8i −0.586943 + 1.01662i
\(669\) −3469.91 + 3747.85i −0.200530 + 0.216592i
\(670\) −66254.2 + 4965.06i −3.82033 + 0.286294i
\(671\) 8508.09 10668.8i 0.489495 0.613808i
\(672\) −18620.1 5728.92i −1.06888 0.328866i
\(673\) −265.966 333.511i −0.0152336 0.0191024i 0.774156 0.632994i \(-0.218174\pi\)
−0.789390 + 0.613892i \(0.789603\pi\)
\(674\) −22054.9 23769.5i −1.26042 1.35841i
\(675\) 11969.3 + 30206.7i 0.682514 + 1.72246i
\(676\) −19287.1 + 13149.7i −1.09735 + 0.748164i
\(677\) 5162.14 + 778.068i 0.293053 + 0.0441707i 0.293924 0.955829i \(-0.405039\pi\)
−0.000870136 1.00000i \(0.500277\pi\)
\(678\) −18049.3 + 19.6477i −1.02239 + 0.00111293i
\(679\) 7970.09 + 13816.5i 0.450462 + 0.780894i
\(680\) 8490.62 17631.0i 0.478824 0.994289i
\(681\) 14821.2 + 25606.6i 0.833993 + 1.44089i
\(682\) 10721.9 11555.5i 0.602000 0.648802i
\(683\) 1764.76 + 132.251i 0.0988679 + 0.00740913i 0.124072 0.992273i \(-0.460405\pi\)
−0.0252043 + 0.999682i \(0.508024\pi\)
\(684\) −9998.31 32164.9i −0.558911 1.79804i
\(685\) 3323.70i 0.185390i
\(686\) −10506.0 + 26681.2i −0.584722 + 1.48498i
\(687\) −8335.27 + 17356.7i −0.462897 + 0.963899i
\(688\) 1805.20 4599.57i 0.100033 0.254879i
\(689\) −561.357 + 7490.78i −0.0310392 + 0.414189i
\(690\) −19796.0 50278.4i −1.09220 2.77401i
\(691\) 3163.97 4640.69i 0.174187 0.255485i −0.729211 0.684289i \(-0.760113\pi\)
0.903397 + 0.428804i \(0.141065\pi\)
\(692\) −13359.2 6433.44i −0.733872 0.353414i
\(693\) 5773.70 14789.6i 0.316486 0.810694i
\(694\) −14339.1 + 6905.32i −0.784298 + 0.377698i
\(695\) −965.658 + 6406.72i −0.0527043 + 0.349670i
\(696\) 624.291 94.7919i 0.0339996 0.00516247i
\(697\) 2553.10 384.818i 0.138745 0.0209125i
\(698\) 27738.9 25737.9i 1.50420 1.39569i
\(699\) −4026.48 + 923.631i −0.217876 + 0.0499784i
\(700\) 7892.38 + 52494.9i 0.426148 + 2.83446i
\(701\) 5065.53 + 4039.62i 0.272928 + 0.217653i 0.750383 0.661004i \(-0.229869\pi\)
−0.477455 + 0.878656i \(0.658441\pi\)
\(702\) −10659.7 + 3326.24i −0.573111 + 0.178833i
\(703\) −12032.6 + 39008.6i −0.645543 + 2.09280i
\(704\) 22963.4 + 13257.9i 1.22935 + 0.709768i
\(705\) −2459.20 32343.3i −0.131374 1.72783i
\(706\) −23355.2 + 5330.66i −1.24502 + 0.284167i
\(707\) −2297.93 4776.24i −0.122238 0.254072i
\(708\) 3686.05 4632.50i 0.195664 0.245904i
\(709\) 4860.47 1499.26i 0.257460 0.0794158i −0.163338 0.986570i \(-0.552226\pi\)
0.420798 + 0.907154i \(0.361750\pi\)
\(710\) 13794.0 + 35146.6i 0.729128 + 1.85779i
\(711\) −3461.06 + 6024.98i −0.182559 + 0.317798i
\(712\) −1442.05 4675.01i −0.0759032 0.246072i
\(713\) 2985.76 13081.5i 0.156827 0.687104i
\(714\) 14194.6 17825.7i 0.744004 0.934325i
\(715\) 2352.43 + 10306.7i 0.123043 + 0.539087i
\(716\) 36573.5 21115.7i 1.90896 1.10214i
\(717\) 7771.01 + 11371.4i 0.404761 + 0.592289i
\(718\) 45426.3 + 14012.2i 2.36113 + 0.728313i
\(719\) −1785.57 23826.7i −0.0926153 1.23587i −0.828979 0.559280i \(-0.811078\pi\)
0.736364 0.676586i \(-0.236541\pi\)
\(720\) −5014.32 + 10.9168i −0.259545 + 0.000565062i
\(721\) −588.003 + 7807.43i −0.0303723 + 0.403278i
\(722\) −11650.6 + 9291.06i −0.600542 + 0.478916i
\(723\) −8288.94 26768.6i −0.426375 1.37695i
\(724\) −933.087 6190.63i −0.0478977 0.317780i
\(725\) 802.506 + 1177.06i 0.0411094 + 0.0602964i
\(726\) 4259.88 6262.73i 0.217767 0.320154i
\(727\) 798.509 + 1658.12i 0.0407360 + 0.0845891i 0.920344 0.391111i \(-0.127909\pi\)
−0.879608 + 0.475700i \(0.842195\pi\)
\(728\) −6433.42 + 479.714i −0.327525 + 0.0244222i
\(729\) 19682.6 128.556i 0.999979 0.00653131i
\(730\) 59323.0 + 40445.8i 3.00773 + 2.05064i
\(731\) 19319.2 + 17925.6i 0.977493 + 0.906981i
\(732\) 23951.7 + 13793.8i 1.20940 + 0.696493i
\(733\) 25900.7 + 10165.3i 1.30513 + 0.512227i 0.913105 0.407725i \(-0.133678\pi\)
0.392029 + 0.919953i \(0.371773\pi\)
\(734\) −38102.3 −1.91605
\(735\) −2503.53 + 33562.8i −0.125638 + 1.68433i
\(736\) 24696.5 1.23686
\(737\) 23036.5 + 9041.17i 1.15137 + 0.451880i
\(738\) 3390.17 + 4949.29i 0.169098 + 0.246864i
\(739\) −3867.02 3588.07i −0.192490 0.178605i 0.578040 0.816009i \(-0.303818\pi\)
−0.770530 + 0.637404i \(0.780008\pi\)
\(740\) −78205.0 53319.3i −3.88496 2.64872i
\(741\) 5765.87 + 7214.05i 0.285850 + 0.357645i
\(742\) 20074.1 29419.8i 0.993186 1.45557i
\(743\) 7824.79 + 16248.4i 0.386358 + 0.802280i 0.999920 + 0.0126340i \(0.00402162\pi\)
−0.613562 + 0.789646i \(0.710264\pi\)
\(744\) 9335.54 + 6349.99i 0.460023 + 0.312906i
\(745\) −20047.3 29404.0i −0.985874 1.44601i
\(746\) −5602.59 37170.7i −0.274967 1.82429i
\(747\) −16388.3 2433.67i −0.802701 0.119201i
\(748\) −16115.7 + 12851.8i −0.787765 + 0.628221i
\(749\) 14825.6 + 37816.4i 0.723253 + 1.84483i
\(750\) 20531.4 + 42515.4i 0.999600 + 2.06992i
\(751\) 511.126 + 6820.51i 0.0248352 + 0.331403i 0.995758 + 0.0920104i \(0.0293293\pi\)
−0.970923 + 0.239393i \(0.923052\pi\)
\(752\) 3106.65 + 958.275i 0.150649 + 0.0464690i
\(753\) 2898.40 1980.72i 0.140270 0.0958586i
\(754\) −424.006 + 244.800i −0.0204793 + 0.0118237i
\(755\) −12724.9 55751.3i −0.613384 2.68741i
\(756\) 31372.3 + 7065.07i 1.50926 + 0.339887i
\(757\) 1714.82 7513.11i 0.0823330 0.360725i −0.916933 0.399042i \(-0.869343\pi\)
0.999266 + 0.0383176i \(0.0121999\pi\)
\(758\) 12563.1 + 40728.7i 0.601997 + 1.95163i
\(759\) −1482.22 + 20072.1i −0.0708845 + 0.959908i
\(760\) −13738.0 35004.0i −0.655699 1.67069i
\(761\) 14040.8 4331.00i 0.668827 0.206306i 0.0582973 0.998299i \(-0.481433\pi\)
0.610530 + 0.791993i \(0.290957\pi\)
\(762\) 28468.3 + 22652.0i 1.35341 + 1.07690i
\(763\) 13588.9 10828.6i 0.644761 0.513788i
\(764\) 48632.6 11100.1i 2.30297 0.525637i
\(765\) 9716.79 24917.4i 0.459230 1.17763i
\(766\) 38857.9 + 22434.6i 1.83289 + 1.05822i
\(767\) −478.430 + 1551.03i −0.0225230 + 0.0730177i
\(768\) −5727.62 + 14640.6i −0.269112 + 0.687887i
\(769\) −27182.9 21677.7i −1.27470 1.01654i −0.998462 0.0554457i \(-0.982342\pi\)
−0.276234 0.961090i \(-0.589087\pi\)
\(770\) 14792.1 47891.7i 0.692301 2.24143i
\(771\) −1498.87 6534.20i −0.0700137 0.305218i
\(772\) 17896.6 16605.6i 0.834344