Properties

Label 49.4.e.a.8.11
Level $49$
Weight $4$
Character 49.8
Analytic conductor $2.891$
Analytic rank $0$
Dimension $78$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 49 = 7^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 49.e (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.89109359028\)
Analytic rank: \(0\)
Dimension: \(78\)
Relative dimension: \(13\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 8.11
Character \(\chi\) \(=\) 49.8
Dual form 49.4.e.a.43.11

$q$-expansion

\(f(q)\) \(=\) \(q+(2.59695 + 3.25648i) q^{2} +(2.96773 - 1.42918i) q^{3} +(-2.08030 + 9.11440i) q^{4} +(9.52410 - 4.58657i) q^{5} +(12.3612 + 5.95282i) q^{6} +(-16.3066 + 8.78031i) q^{7} +(-5.06162 + 2.43755i) q^{8} +(-10.0694 + 12.6266i) q^{9} +O(q^{10})\) \(q+(2.59695 + 3.25648i) q^{2} +(2.96773 - 1.42918i) q^{3} +(-2.08030 + 9.11440i) q^{4} +(9.52410 - 4.58657i) q^{5} +(12.3612 + 5.95282i) q^{6} +(-16.3066 + 8.78031i) q^{7} +(-5.06162 + 2.43755i) q^{8} +(-10.0694 + 12.6266i) q^{9} +(39.6697 + 19.1039i) q^{10} +(-34.1739 - 42.8527i) q^{11} +(6.85238 + 30.0222i) q^{12} +(-18.7277 - 23.4838i) q^{13} +(-70.9404 - 30.3001i) q^{14} +(21.7099 - 27.2234i) q^{15} +(46.3012 + 22.2975i) q^{16} +(9.96373 + 43.6539i) q^{17} -67.2678 q^{18} +71.5587 q^{19} +(21.9908 + 96.3479i) q^{20} +(-35.8450 + 49.3628i) q^{21} +(50.8008 - 222.573i) q^{22} +(37.1988 - 162.978i) q^{23} +(-11.5378 + 14.4680i) q^{24} +(-8.26430 + 10.3631i) q^{25} +(27.8395 - 121.973i) q^{26} +(-31.6276 + 138.570i) q^{27} +(-46.1046 - 166.891i) q^{28} +(-4.18669 - 18.3431i) q^{29} +145.032 q^{30} -114.344 q^{31} +(57.6317 + 252.501i) q^{32} +(-162.663 - 78.3344i) q^{33} +(-116.283 + 145.814i) q^{34} +(-115.034 + 158.416i) q^{35} +(-94.1364 - 118.043i) q^{36} +(18.8099 + 82.4114i) q^{37} +(185.834 + 233.029i) q^{38} +(-89.1416 - 42.9283i) q^{39} +(-37.0274 + 46.4309i) q^{40} +(-55.7401 + 26.8430i) q^{41} +(-253.836 + 11.4644i) q^{42} +(-148.440 - 71.4850i) q^{43} +(461.668 - 222.328i) q^{44} +(-37.9890 + 166.441i) q^{45} +(627.339 - 302.110i) q^{46} +(337.800 + 423.588i) q^{47} +169.277 q^{48} +(188.812 - 286.355i) q^{49} -55.2092 q^{50} +(91.9592 + 115.313i) q^{51} +(253.000 - 121.839i) q^{52} +(-108.336 + 474.652i) q^{53} +(-533.384 + 256.864i) q^{54} +(-522.022 - 251.392i) q^{55} +(61.1355 - 84.1907i) q^{56} +(212.367 - 102.270i) q^{57} +(48.8612 - 61.2700i) q^{58} +(203.178 + 97.8454i) q^{59} +(202.962 + 254.506i) q^{60} +(103.297 + 452.575i) q^{61} +(-296.946 - 372.358i) q^{62} +(53.3320 - 294.309i) q^{63} +(-416.265 + 521.980i) q^{64} +(-286.075 - 137.766i) q^{65} +(-167.334 - 733.139i) q^{66} -133.966 q^{67} -418.607 q^{68} +(-122.530 - 536.840i) q^{69} +(-814.617 + 36.7919i) q^{70} +(156.479 - 685.578i) q^{71} +(20.1894 - 88.4555i) q^{72} +(704.577 - 883.512i) q^{73} +(-219.522 + 275.272i) q^{74} +(-9.71544 + 42.5661i) q^{75} +(-148.864 + 652.214i) q^{76} +(933.520 + 398.725i) q^{77} +(-91.7014 - 401.770i) q^{78} -1187.92 q^{79} +543.246 q^{80} +(7.14899 + 31.3218i) q^{81} +(-232.168 - 111.806i) q^{82} +(673.830 - 844.956i) q^{83} +(-375.344 - 429.395i) q^{84} +(295.117 + 370.065i) q^{85} +(-152.703 - 669.035i) q^{86} +(-38.6406 - 48.4538i) q^{87} +(277.430 + 133.603i) q^{88} +(-881.560 + 1105.44i) q^{89} +(-640.665 + 308.528i) q^{90} +(511.582 + 218.507i) q^{91} +(1408.07 + 678.089i) q^{92} +(-339.342 + 163.418i) q^{93} +(-502.153 + 2200.08i) q^{94} +(681.532 - 328.208i) q^{95} +(531.906 + 666.989i) q^{96} -352.624 q^{97} +(1422.84 - 128.787i) q^{98} +885.192 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 78 q - 5 q^{2} - 5 q^{3} - 53 q^{4} - 23 q^{5} + 19 q^{6} - 31 q^{8} - 174 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 78 q - 5 q^{2} - 5 q^{3} - 53 q^{4} - 23 q^{5} + 19 q^{6} - 31 q^{8} - 174 q^{9} + 9 q^{10} - 103 q^{11} + 364 q^{12} - 35 q^{13} + 161 q^{14} - 245 q^{15} - 205 q^{16} - 285 q^{17} + 16 q^{18} + 628 q^{19} + 553 q^{20} - 21 q^{21} - 605 q^{22} + 149 q^{23} + 653 q^{24} - 370 q^{25} - 511 q^{26} - 65 q^{27} + 70 q^{28} - 187 q^{29} + 84 q^{30} + 1276 q^{31} + 1399 q^{32} - 23 q^{33} - 765 q^{34} - 805 q^{35} - 1691 q^{36} - 1531 q^{37} - 1041 q^{38} - 1351 q^{39} - 1759 q^{40} - 301 q^{41} + 3395 q^{42} - 257 q^{43} - 883 q^{44} + 3105 q^{45} + 1593 q^{46} + 733 q^{47} - 1948 q^{48} + 1288 q^{49} + 6148 q^{50} + 1197 q^{51} - 1099 q^{52} - 285 q^{53} + 660 q^{54} + 2641 q^{55} - 1988 q^{56} - 2352 q^{57} + 1173 q^{58} - 3603 q^{59} - 175 q^{60} - 2613 q^{61} - 1927 q^{62} - 3066 q^{63} + 1589 q^{64} - 371 q^{65} - 2175 q^{66} + 352 q^{67} + 6076 q^{68} + 5549 q^{69} - 6293 q^{70} - 2623 q^{71} + 6220 q^{72} + 2039 q^{73} - 2411 q^{74} - 3903 q^{75} + 4130 q^{76} + 1029 q^{77} - 3759 q^{78} + 44 q^{79} - 1608 q^{80} + 1394 q^{81} - 10920 q^{82} - 553 q^{83} - 7798 q^{84} + 497 q^{85} - 2985 q^{86} - 4273 q^{87} - 2197 q^{88} - 3957 q^{89} - 2958 q^{90} + 14119 q^{91} - 9136 q^{92} + 6272 q^{93} + 14912 q^{94} + 5866 q^{95} + 21882 q^{96} - 1540 q^{97} - 2303 q^{98} + 10768 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{6}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.59695 + 3.25648i 0.918161 + 1.15134i 0.988104 + 0.153787i \(0.0491469\pi\)
−0.0699428 + 0.997551i \(0.522282\pi\)
\(3\) 2.96773 1.42918i 0.571140 0.275047i −0.125942 0.992038i \(-0.540195\pi\)
0.697082 + 0.716991i \(0.254481\pi\)
\(4\) −2.08030 + 9.11440i −0.260038 + 1.13930i
\(5\) 9.52410 4.58657i 0.851862 0.410235i 0.0435933 0.999049i \(-0.486119\pi\)
0.808268 + 0.588814i \(0.200405\pi\)
\(6\) 12.3612 + 5.95282i 0.841070 + 0.405038i
\(7\) −16.3066 + 8.78031i −0.880475 + 0.474092i
\(8\) −5.06162 + 2.43755i −0.223694 + 0.107725i
\(9\) −10.0694 + 12.6266i −0.372939 + 0.467651i
\(10\) 39.6697 + 19.1039i 1.25447 + 0.604119i
\(11\) −34.1739 42.8527i −0.936710 1.17460i −0.984437 0.175736i \(-0.943769\pi\)
0.0477277 0.998860i \(-0.484802\pi\)
\(12\) 6.85238 + 30.0222i 0.164843 + 0.722222i
\(13\) −18.7277 23.4838i −0.399549 0.501019i 0.540837 0.841127i \(-0.318108\pi\)
−0.940386 + 0.340109i \(0.889536\pi\)
\(14\) −70.9404 30.3001i −1.35426 0.578431i
\(15\) 21.7099 27.2234i 0.373699 0.468603i
\(16\) 46.3012 + 22.2975i 0.723456 + 0.348398i
\(17\) 9.96373 + 43.6539i 0.142150 + 0.622802i 0.994933 + 0.100536i \(0.0320559\pi\)
−0.852783 + 0.522266i \(0.825087\pi\)
\(18\) −67.2678 −0.880843
\(19\) 71.5587 0.864036 0.432018 0.901865i \(-0.357802\pi\)
0.432018 + 0.901865i \(0.357802\pi\)
\(20\) 21.9908 + 96.3479i 0.245864 + 1.07720i
\(21\) −35.8450 + 49.3628i −0.372477 + 0.512945i
\(22\) 50.8008 222.573i 0.492307 2.15694i
\(23\) 37.1988 162.978i 0.337238 1.47754i −0.467546 0.883969i \(-0.654862\pi\)
0.804784 0.593568i \(-0.202281\pi\)
\(24\) −11.5378 + 14.4680i −0.0981311 + 0.123053i
\(25\) −8.26430 + 10.3631i −0.0661144 + 0.0829048i
\(26\) 27.8395 121.973i 0.209991 0.920032i
\(27\) −31.6276 + 138.570i −0.225435 + 0.987694i
\(28\) −46.1046 166.891i −0.311177 1.12641i
\(29\) −4.18669 18.3431i −0.0268086 0.117456i 0.959753 0.280845i \(-0.0906146\pi\)
−0.986562 + 0.163389i \(0.947757\pi\)
\(30\) 145.032 0.882636
\(31\) −114.344 −0.662477 −0.331238 0.943547i \(-0.607466\pi\)
−0.331238 + 0.943547i \(0.607466\pi\)
\(32\) 57.6317 + 252.501i 0.318373 + 1.39488i
\(33\) −162.663 78.3344i −0.858061 0.413221i
\(34\) −116.283 + 145.814i −0.586538 + 0.735496i
\(35\) −115.034 + 158.416i −0.555554 + 0.765063i
\(36\) −94.1364 118.043i −0.435817 0.546497i
\(37\) 18.8099 + 82.4114i 0.0835763 + 0.366172i 0.999371 0.0354760i \(-0.0112947\pi\)
−0.915794 + 0.401648i \(0.868438\pi\)
\(38\) 185.834 + 233.029i 0.793324 + 0.994797i
\(39\) −89.1416 42.9283i −0.366002 0.176257i
\(40\) −37.0274 + 46.4309i −0.146364 + 0.183534i
\(41\) −55.7401 + 26.8430i −0.212320 + 0.102248i −0.537021 0.843569i \(-0.680451\pi\)
0.324701 + 0.945817i \(0.394736\pi\)
\(42\) −253.836 + 11.4644i −0.932567 + 0.0421190i
\(43\) −148.440 71.4850i −0.526440 0.253520i 0.151734 0.988421i \(-0.451514\pi\)
−0.678174 + 0.734901i \(0.737228\pi\)
\(44\) 461.668 222.328i 1.58180 0.761754i
\(45\) −37.9890 + 166.441i −0.125846 + 0.551367i
\(46\) 627.339 302.110i 2.01078 0.968342i
\(47\) 337.800 + 423.588i 1.04837 + 1.31461i 0.947516 + 0.319709i \(0.103585\pi\)
0.100851 + 0.994902i \(0.467843\pi\)
\(48\) 169.277 0.509020
\(49\) 188.812 286.355i 0.550473 0.834853i
\(50\) −55.2092 −0.156155
\(51\) 91.9592 + 115.313i 0.252487 + 0.316609i
\(52\) 253.000 121.839i 0.674708 0.324922i
\(53\) −108.336 + 474.652i −0.280776 + 1.23016i 0.616025 + 0.787727i \(0.288742\pi\)
−0.896801 + 0.442434i \(0.854115\pi\)
\(54\) −533.384 + 256.864i −1.34416 + 0.647311i
\(55\) −522.022 251.392i −1.27981 0.616323i
\(56\) 61.1355 84.1907i 0.145885 0.200901i
\(57\) 212.367 102.270i 0.493486 0.237650i
\(58\) 48.8612 61.2700i 0.110617 0.138709i
\(59\) 203.178 + 97.8454i 0.448331 + 0.215905i 0.644405 0.764684i \(-0.277105\pi\)
−0.196074 + 0.980589i \(0.562819\pi\)
\(60\) 202.962 + 254.506i 0.436704 + 0.547609i
\(61\) 103.297 + 452.575i 0.216818 + 0.949940i 0.959812 + 0.280643i \(0.0905476\pi\)
−0.742995 + 0.669297i \(0.766595\pi\)
\(62\) −296.946 372.358i −0.608260 0.762734i
\(63\) 53.3320 294.309i 0.106654 0.588563i
\(64\) −416.265 + 521.980i −0.813018 + 1.01949i
\(65\) −286.075 137.766i −0.545896 0.262890i
\(66\) −167.334 733.139i −0.312082 1.36732i
\(67\) −133.966 −0.244276 −0.122138 0.992513i \(-0.538975\pi\)
−0.122138 + 0.992513i \(0.538975\pi\)
\(68\) −418.607 −0.746523
\(69\) −122.530 536.840i −0.213781 0.936637i
\(70\) −814.617 + 36.7919i −1.39093 + 0.0628210i
\(71\) 156.479 685.578i 0.261558 1.14596i −0.658004 0.753015i \(-0.728599\pi\)
0.919562 0.392945i \(-0.128544\pi\)
\(72\) 20.1894 88.4555i 0.0330464 0.144786i
\(73\) 704.577 883.512i 1.12965 1.41654i 0.233742 0.972299i \(-0.424903\pi\)
0.895909 0.444239i \(-0.146526\pi\)
\(74\) −219.522 + 275.272i −0.344851 + 0.432429i
\(75\) −9.71544 + 42.5661i −0.0149579 + 0.0655348i
\(76\) −148.864 + 652.214i −0.224682 + 0.984396i
\(77\) 933.520 + 398.725i 1.38162 + 0.590116i
\(78\) −91.7014 401.770i −0.133117 0.583225i
\(79\) −1187.92 −1.69178 −0.845892 0.533354i \(-0.820932\pi\)
−0.845892 + 0.533354i \(0.820932\pi\)
\(80\) 543.246 0.759209
\(81\) 7.14899 + 31.3218i 0.00980656 + 0.0429654i
\(82\) −232.168 111.806i −0.312667 0.150572i
\(83\) 673.830 844.956i 0.891114 1.11742i −0.101346 0.994851i \(-0.532315\pi\)
0.992460 0.122570i \(-0.0391137\pi\)
\(84\) −375.344 429.395i −0.487540 0.557748i
\(85\) 295.117 + 370.065i 0.376588 + 0.472226i
\(86\) −152.703 669.035i −0.191469 0.838882i
\(87\) −38.6406 48.4538i −0.0476173 0.0597102i
\(88\) 277.430 + 133.603i 0.336070 + 0.161843i
\(89\) −881.560 + 1105.44i −1.04995 + 1.31659i −0.103181 + 0.994663i \(0.532902\pi\)
−0.946764 + 0.321927i \(0.895669\pi\)
\(90\) −640.665 + 308.528i −0.750356 + 0.361353i
\(91\) 511.582 + 218.507i 0.589322 + 0.251711i
\(92\) 1408.07 + 678.089i 1.59566 + 0.768431i
\(93\) −339.342 + 163.418i −0.378367 + 0.182212i
\(94\) −502.153 + 2200.08i −0.550991 + 2.41405i
\(95\) 681.532 328.208i 0.736039 0.354458i
\(96\) 531.906 + 666.989i 0.565494 + 0.709107i
\(97\) −352.624 −0.369109 −0.184554 0.982822i \(-0.559084\pi\)
−0.184554 + 0.982822i \(0.559084\pi\)
\(98\) 1422.84 128.787i 1.46662 0.132750i
\(99\) 885.192 0.898637
\(100\) −77.2612 96.8825i −0.0772612 0.0968825i
\(101\) 1177.72 567.158i 1.16027 0.558756i 0.248166 0.968718i \(-0.420172\pi\)
0.912103 + 0.409962i \(0.134458\pi\)
\(102\) −136.701 + 598.925i −0.132700 + 0.581397i
\(103\) 1322.90 637.075i 1.26553 0.609445i 0.323895 0.946093i \(-0.395007\pi\)
0.941631 + 0.336648i \(0.109293\pi\)
\(104\) 152.036 + 73.2165i 0.143349 + 0.0690333i
\(105\) −114.986 + 634.542i −0.106871 + 0.589761i
\(106\) −1827.04 + 879.855i −1.67413 + 0.806218i
\(107\) 214.449 268.911i 0.193753 0.242959i −0.675460 0.737397i \(-0.736055\pi\)
0.869213 + 0.494438i \(0.164626\pi\)
\(108\) −1197.18 576.533i −1.06666 0.513676i
\(109\) 48.9398 + 61.3686i 0.0430054 + 0.0539270i 0.802869 0.596155i \(-0.203306\pi\)
−0.759864 + 0.650082i \(0.774734\pi\)
\(110\) −537.012 2352.81i −0.465474 2.03937i
\(111\) 173.604 + 217.692i 0.148448 + 0.186148i
\(112\) −950.795 + 42.9423i −0.802158 + 0.0362292i
\(113\) −724.515 + 908.514i −0.603156 + 0.756334i −0.985866 0.167534i \(-0.946419\pi\)
0.382710 + 0.923869i \(0.374991\pi\)
\(114\) 884.548 + 425.976i 0.726715 + 0.349968i
\(115\) −393.226 1722.84i −0.318857 1.39700i
\(116\) 175.896 0.140789
\(117\) 485.097 0.383310
\(118\) 209.013 + 915.744i 0.163061 + 0.714416i
\(119\) −545.770 624.364i −0.420426 0.480969i
\(120\) −43.5291 + 190.713i −0.0331137 + 0.145081i
\(121\) −372.323 + 1631.25i −0.279732 + 1.22558i
\(122\) −1205.54 + 1511.70i −0.894629 + 1.12183i
\(123\) −127.058 + 159.326i −0.0931417 + 0.116796i
\(124\) 237.870 1042.18i 0.172269 0.754759i
\(125\) −325.211 + 1424.84i −0.232702 + 1.01954i
\(126\) 1096.91 590.632i 0.775560 0.417601i
\(127\) −339.869 1489.06i −0.237468 1.04042i −0.943275 0.332012i \(-0.892272\pi\)
0.705807 0.708404i \(-0.250585\pi\)
\(128\) −708.880 −0.489506
\(129\) −542.696 −0.370401
\(130\) −294.290 1289.37i −0.198546 0.869886i
\(131\) −1139.61 548.807i −0.760062 0.366027i 0.0133658 0.999911i \(-0.495745\pi\)
−0.773428 + 0.633884i \(0.781460\pi\)
\(132\) 1052.36 1319.62i 0.693910 0.870136i
\(133\) −1166.88 + 628.308i −0.760762 + 0.409633i
\(134\) −347.902 436.255i −0.224285 0.281244i
\(135\) 334.334 + 1464.81i 0.213147 + 0.933860i
\(136\) −156.841 196.672i −0.0988898 0.124004i
\(137\) −1385.98 667.454i −0.864324 0.416237i −0.0514497 0.998676i \(-0.516384\pi\)
−0.812874 + 0.582439i \(0.802098\pi\)
\(138\) 1430.00 1793.16i 0.882100 1.10612i
\(139\) 67.9336 32.7151i 0.0414536 0.0199630i −0.413042 0.910712i \(-0.635534\pi\)
0.454496 + 0.890749i \(0.349819\pi\)
\(140\) −1204.56 1378.02i −0.727171 0.831887i
\(141\) 1607.89 + 774.317i 0.960344 + 0.462477i
\(142\) 2638.94 1270.84i 1.55954 0.751035i
\(143\) −366.346 + 1605.07i −0.214233 + 0.938618i
\(144\) −747.764 + 360.104i −0.432734 + 0.208394i
\(145\) −124.006 155.499i −0.0710217 0.0890585i
\(146\) 4706.89 2.66811
\(147\) 151.090 1119.67i 0.0847736 0.628224i
\(148\) −790.261 −0.438912
\(149\) 650.201 + 815.326i 0.357493 + 0.448283i 0.927760 0.373177i \(-0.121732\pi\)
−0.570267 + 0.821460i \(0.693160\pi\)
\(150\) −163.846 + 78.9041i −0.0891865 + 0.0429499i
\(151\) 468.594 2053.04i 0.252540 1.10645i −0.676491 0.736451i \(-0.736500\pi\)
0.929031 0.370001i \(-0.120643\pi\)
\(152\) −362.203 + 174.428i −0.193280 + 0.0930786i
\(153\) −651.528 313.759i −0.344268 0.165791i
\(154\) 1125.87 + 4075.46i 0.589124 + 2.13253i
\(155\) −1089.02 + 524.446i −0.564338 + 0.271771i
\(156\) 576.707 723.168i 0.295984 0.371153i
\(157\) −526.808 253.697i −0.267795 0.128963i 0.295168 0.955445i \(-0.404624\pi\)
−0.562963 + 0.826482i \(0.690339\pi\)
\(158\) −3084.96 3868.42i −1.55333 1.94782i
\(159\) 356.853 + 1563.47i 0.177989 + 0.779821i
\(160\) 1707.00 + 2140.51i 0.843440 + 1.05764i
\(161\) 824.415 + 2984.25i 0.403559 + 1.46082i
\(162\) −83.4329 + 104.622i −0.0404636 + 0.0507398i
\(163\) −2994.06 1441.87i −1.43873 0.692856i −0.458133 0.888884i \(-0.651482\pi\)
−0.980598 + 0.196027i \(0.937196\pi\)
\(164\) −128.702 563.879i −0.0612799 0.268485i
\(165\) −1908.51 −0.900467
\(166\) 4501.48 2.10472
\(167\) −619.027 2712.13i −0.286837 1.25671i −0.888839 0.458219i \(-0.848487\pi\)
0.602002 0.798494i \(-0.294370\pi\)
\(168\) 61.1096 337.229i 0.0280637 0.154868i
\(169\) 288.116 1262.32i 0.131141 0.574565i
\(170\) −438.703 + 1922.08i −0.197923 + 0.867159i
\(171\) −720.550 + 903.541i −0.322233 + 0.404067i
\(172\) 960.343 1204.23i 0.425729 0.533848i
\(173\) −426.810 + 1869.98i −0.187571 + 0.821802i 0.790321 + 0.612693i \(0.209914\pi\)
−0.977892 + 0.209110i \(0.932943\pi\)
\(174\) 57.4407 251.664i 0.0250263 0.109647i
\(175\) 43.7716 241.550i 0.0189075 0.104340i
\(176\) −626.784 2746.12i −0.268441 1.17612i
\(177\) 742.817 0.315444
\(178\) −5889.21 −2.47986
\(179\) 702.580 + 3078.21i 0.293370 + 1.28534i 0.879802 + 0.475341i \(0.157675\pi\)
−0.586431 + 0.809999i \(0.699468\pi\)
\(180\) −1437.98 692.494i −0.595447 0.286752i
\(181\) 1088.49 1364.92i 0.446998 0.560518i −0.506375 0.862314i \(-0.669015\pi\)
0.953373 + 0.301796i \(0.0975861\pi\)
\(182\) 616.991 + 2233.40i 0.251288 + 0.909621i
\(183\) 953.373 + 1195.49i 0.385111 + 0.482914i
\(184\) 208.982 + 915.608i 0.0837300 + 0.366845i
\(185\) 557.133 + 698.622i 0.221412 + 0.277642i
\(186\) −1413.42 680.669i −0.557189 0.268328i
\(187\) 1530.19 1918.80i 0.598387 0.750354i
\(188\) −4563.48 + 2197.66i −1.77035 + 0.852556i
\(189\) −700.945 2537.30i −0.269769 0.976517i
\(190\) 2838.71 + 1367.05i 1.08390 + 0.521980i
\(191\) −2275.86 + 1095.99i −0.862174 + 0.415201i −0.812082 0.583544i \(-0.801666\pi\)
−0.0500918 + 0.998745i \(0.515951\pi\)
\(192\) −489.358 + 2144.02i −0.183939 + 0.805891i
\(193\) 1690.44 814.075i 0.630471 0.303619i −0.0912237 0.995830i \(-0.529078\pi\)
0.721695 + 0.692212i \(0.243364\pi\)
\(194\) −915.747 1148.31i −0.338901 0.424969i
\(195\) −1045.89 −0.384090
\(196\) 2217.16 + 2316.61i 0.808004 + 0.844247i
\(197\) 1920.29 0.694494 0.347247 0.937774i \(-0.387117\pi\)
0.347247 + 0.937774i \(0.387117\pi\)
\(198\) 2298.80 + 2882.60i 0.825094 + 1.03464i
\(199\) 3896.19 1876.30i 1.38791 0.668380i 0.417236 0.908798i \(-0.362999\pi\)
0.970670 + 0.240418i \(0.0772844\pi\)
\(200\) 16.5702 72.5987i 0.00585844 0.0256675i
\(201\) −397.574 + 191.461i −0.139516 + 0.0671873i
\(202\) 4905.41 + 2362.32i 1.70863 + 0.822833i
\(203\) 229.329 + 262.353i 0.0792893 + 0.0907074i
\(204\) −1242.31 + 598.266i −0.426369 + 0.205329i
\(205\) −407.757 + 511.311i −0.138922 + 0.174202i
\(206\) 5510.13 + 2653.54i 1.86363 + 0.897479i
\(207\) 1683.29 + 2110.78i 0.565203 + 0.708742i
\(208\) −343.486 1504.91i −0.114502 0.501667i
\(209\) −2445.44 3066.48i −0.809351 1.01489i
\(210\) −2364.98 + 1273.43i −0.777139 + 0.418451i
\(211\) −1999.47 + 2507.26i −0.652366 + 0.818041i −0.992488 0.122340i \(-0.960960\pi\)
0.340122 + 0.940381i \(0.389531\pi\)
\(212\) −4100.80 1974.84i −1.32851 0.639776i
\(213\) −515.431 2258.25i −0.165806 0.726444i
\(214\) 1432.62 0.457624
\(215\) −1741.63 −0.552456
\(216\) −177.683 778.480i −0.0559713 0.245226i
\(217\) 1864.56 1003.98i 0.583294 0.314075i
\(218\) −72.7509 + 318.743i −0.0226024 + 0.0990274i
\(219\) 828.294 3629.00i 0.255575 1.11975i
\(220\) 3377.25 4234.94i 1.03497 1.29782i
\(221\) 838.564 1051.53i 0.255239 0.320060i
\(222\) −258.069 + 1130.67i −0.0780200 + 0.341828i
\(223\) −377.849 + 1655.46i −0.113465 + 0.497121i 0.885978 + 0.463728i \(0.153489\pi\)
−0.999442 + 0.0333932i \(0.989369\pi\)
\(224\) −3156.82 3611.42i −0.941624 1.07722i
\(225\) −47.6344 208.700i −0.0141139 0.0618370i
\(226\) −4840.08 −1.42459
\(227\) −6424.22 −1.87837 −0.939186 0.343409i \(-0.888418\pi\)
−0.939186 + 0.343409i \(0.888418\pi\)
\(228\) 490.347 + 2148.35i 0.142430 + 0.624026i
\(229\) 2038.01 + 981.453i 0.588102 + 0.283215i 0.704176 0.710026i \(-0.251317\pi\)
−0.116074 + 0.993241i \(0.537031\pi\)
\(230\) 4589.19 5754.66i 1.31566 1.64979i
\(231\) 3340.29 150.863i 0.951406 0.0429699i
\(232\) 65.9035 + 82.6404i 0.0186499 + 0.0233862i
\(233\) 258.748 + 1133.65i 0.0727517 + 0.318746i 0.998189 0.0601546i \(-0.0191594\pi\)
−0.925437 + 0.378901i \(0.876302\pi\)
\(234\) 1259.77 + 1579.71i 0.351940 + 0.441319i
\(235\) 5160.06 + 2484.95i 1.43236 + 0.689790i
\(236\) −1314.47 + 1648.30i −0.362563 + 0.454640i
\(237\) −3525.42 + 1697.75i −0.966246 + 0.465320i
\(238\) 615.887 3398.73i 0.167739 0.925659i
\(239\) 3634.15 + 1750.11i 0.983571 + 0.473663i 0.855332 0.518080i \(-0.173353\pi\)
0.128239 + 0.991743i \(0.459068\pi\)
\(240\) 1612.21 776.398i 0.433615 0.208818i
\(241\) 717.758 3144.70i 0.191846 0.840532i −0.783771 0.621050i \(-0.786706\pi\)
0.975617 0.219482i \(-0.0704366\pi\)
\(242\) −6279.04 + 3023.82i −1.66790 + 0.803218i
\(243\) −2326.72 2917.62i −0.614236 0.770227i
\(244\) −4339.84 −1.13865
\(245\) 484.882 3593.27i 0.126441 0.937002i
\(246\) −848.804 −0.219991
\(247\) −1340.13 1680.47i −0.345225 0.432898i
\(248\) 578.765 278.719i 0.148192 0.0713655i
\(249\) 792.149 3470.63i 0.201608 0.883302i
\(250\) −5484.53 + 2641.21i −1.38749 + 0.668179i
\(251\) −2230.57 1074.19i −0.560925 0.270127i 0.131864 0.991268i \(-0.457904\pi\)
−0.692789 + 0.721141i \(0.743618\pi\)
\(252\) 2571.50 + 1098.34i 0.642816 + 0.274559i
\(253\) −8255.28 + 3975.54i −2.05140 + 0.987904i
\(254\) 3966.47 4973.80i 0.979837 1.22868i
\(255\) 1404.72 + 676.477i 0.344968 + 0.166128i
\(256\) 1489.19 + 1867.39i 0.363573 + 0.455906i
\(257\) −221.824 971.873i −0.0538404 0.235890i 0.940847 0.338832i \(-0.110032\pi\)
−0.994687 + 0.102941i \(0.967175\pi\)
\(258\) −1409.35 1767.27i −0.340087 0.426456i
\(259\) −1030.32 1178.70i −0.247186 0.282782i
\(260\) 1850.78 2320.81i 0.441464 0.553578i
\(261\) 273.768 + 131.840i 0.0649264 + 0.0312669i
\(262\) −1172.34 5136.34i −0.276439 1.21116i
\(263\) 3607.71 0.845859 0.422930 0.906163i \(-0.361002\pi\)
0.422930 + 0.906163i \(0.361002\pi\)
\(264\) 1014.28 0.236457
\(265\) 1145.22 + 5017.53i 0.265472 + 1.16311i
\(266\) −5076.40 2168.23i −1.17013 0.499785i
\(267\) −1036.35 + 4540.56i −0.237542 + 1.04074i
\(268\) 278.689 1221.02i 0.0635210 0.278304i
\(269\) −1297.94 + 1627.56i −0.294188 + 0.368900i −0.906856 0.421440i \(-0.861525\pi\)
0.612668 + 0.790340i \(0.290096\pi\)
\(270\) −3901.88 + 4892.80i −0.879484 + 1.10284i
\(271\) −1669.32 + 7313.78i −0.374185 + 1.63941i 0.340701 + 0.940172i \(0.389336\pi\)
−0.714886 + 0.699241i \(0.753522\pi\)
\(272\) −512.040 + 2243.39i −0.114143 + 0.500095i
\(273\) 1830.52 82.6749i 0.405818 0.0183286i
\(274\) −1425.78 6246.76i −0.314360 1.37730i
\(275\) 726.510 0.159310
\(276\) 5147.87 1.12270
\(277\) −357.910 1568.10i −0.0776343 0.340138i 0.921162 0.389178i \(-0.127241\pi\)
−0.998797 + 0.0490400i \(0.984384\pi\)
\(278\) 282.956 + 136.264i 0.0610452 + 0.0293978i
\(279\) 1151.37 1443.77i 0.247064 0.309808i
\(280\) 196.114 1082.24i 0.0418574 0.230987i
\(281\) 3211.48 + 4027.07i 0.681782 + 0.854928i 0.995517 0.0945827i \(-0.0301517\pi\)
−0.313735 + 0.949511i \(0.601580\pi\)
\(282\) 1654.06 + 7246.91i 0.349283 + 1.53031i
\(283\) −2363.29 2963.47i −0.496407 0.622474i 0.469008 0.883194i \(-0.344612\pi\)
−0.965415 + 0.260720i \(0.916040\pi\)
\(284\) 5923.11 + 2852.42i 1.23758 + 0.595986i
\(285\) 1553.53 1948.07i 0.322889 0.404890i
\(286\) −6178.24 + 2975.28i −1.27737 + 0.615148i
\(287\) 673.243 927.134i 0.138468 0.190686i
\(288\) −3768.54 1814.83i −0.771053 0.371320i
\(289\) 2620.07 1261.76i 0.533293 0.256821i
\(290\) 184.340 807.646i 0.0373269 0.163540i
\(291\) −1046.49 + 503.964i −0.210813 + 0.101522i
\(292\) 6586.94 + 8259.77i 1.32011 + 1.65536i
\(293\) 4158.02 0.829058 0.414529 0.910036i \(-0.363946\pi\)
0.414529 + 0.910036i \(0.363946\pi\)
\(294\) 4038.55 2415.71i 0.801134 0.479208i
\(295\) 2383.86 0.470487
\(296\) −296.090 371.285i −0.0581415 0.0729071i
\(297\) 7018.92 3380.13i 1.37131 0.660388i
\(298\) −966.548 + 4234.72i −0.187888 + 0.823191i
\(299\) −4524.01 + 2178.65i −0.875017 + 0.421386i
\(300\) −367.753 177.101i −0.0707742 0.0340831i
\(301\) 3048.22 137.672i 0.583709 0.0263630i
\(302\) 7902.60 3805.69i 1.50577 0.725142i
\(303\) 2684.57 3366.35i 0.508992 0.638256i
\(304\) 3313.25 + 1595.58i 0.625092 + 0.301028i
\(305\) 3059.58 + 3836.59i 0.574397 + 0.720271i
\(306\) −670.238 2936.50i −0.125212 0.548591i
\(307\) 625.127 + 783.884i 0.116215 + 0.145728i 0.836536 0.547912i \(-0.184577\pi\)
−0.720321 + 0.693640i \(0.756006\pi\)
\(308\) −5576.14 + 7679.01i −1.03159 + 1.42062i
\(309\) 3015.51 3781.33i 0.555167 0.696157i
\(310\) −4535.99 2184.42i −0.831054 0.400214i
\(311\) 1766.17 + 7738.10i 0.322027 + 1.41089i 0.833940 + 0.551855i \(0.186080\pi\)
−0.511913 + 0.859037i \(0.671063\pi\)
\(312\) 555.841 0.100860
\(313\) −6062.00 −1.09471 −0.547355 0.836900i \(-0.684365\pi\)
−0.547355 + 0.836900i \(0.684365\pi\)
\(314\) −541.936 2374.38i −0.0973988 0.426732i
\(315\) −841.929 3047.64i −0.150595 0.545127i
\(316\) 2471.22 10827.1i 0.439928 1.92745i
\(317\) −390.254 + 1709.82i −0.0691447 + 0.302943i −0.997662 0.0683475i \(-0.978227\pi\)
0.928517 + 0.371290i \(0.121084\pi\)
\(318\) −4164.68 + 5222.35i −0.734414 + 0.920927i
\(319\) −642.975 + 806.265i −0.112852 + 0.141511i
\(320\) −1570.46 + 6880.62i −0.274347 + 1.20199i
\(321\) 252.105 1104.54i 0.0438352 0.192055i
\(322\) −7577.15 + 10434.6i −1.31136 + 1.80590i
\(323\) 712.991 + 3123.82i 0.122823 + 0.538123i
\(324\) −300.351 −0.0515005
\(325\) 398.137 0.0679528
\(326\) −3080.04 13494.5i −0.523275 2.29262i
\(327\) 232.947 + 112.181i 0.0393945 + 0.0189714i
\(328\) 216.704 271.738i 0.0364801 0.0457446i
\(329\) −9227.62 3941.30i −1.54631 0.660459i
\(330\) −4956.30 6215.00i −0.826774 1.03674i
\(331\) 1003.02 + 4394.54i 0.166559 + 0.729745i 0.987355 + 0.158523i \(0.0506732\pi\)
−0.820796 + 0.571222i \(0.806470\pi\)
\(332\) 6299.50 + 7899.32i 1.04135 + 1.30582i
\(333\) −1229.98 592.326i −0.202410 0.0974753i
\(334\) 7224.41 9059.13i 1.18354 1.48411i
\(335\) −1275.90 + 614.442i −0.208089 + 0.100211i
\(336\) −2760.33 + 1486.30i −0.448180 + 0.241323i
\(337\) −9127.32 4395.49i −1.47536 0.710497i −0.488575 0.872522i \(-0.662483\pi\)
−0.986787 + 0.162025i \(0.948198\pi\)
\(338\) 4858.93 2339.94i 0.781926 0.376556i
\(339\) −851.734 + 3731.69i −0.136460 + 0.597869i
\(340\) −3986.85 + 1919.97i −0.635934 + 0.306250i
\(341\) 3907.57 + 4899.94i 0.620548 + 0.778143i
\(342\) −4813.59 −0.761080
\(343\) −564.607 + 6327.31i −0.0888802 + 0.996042i
\(344\) 925.595 0.145072
\(345\) −3629.24 4550.93i −0.566353 0.710184i
\(346\) −7197.94 + 3466.35i −1.11839 + 0.538590i
\(347\) 1470.92 6444.54i 0.227560 0.997006i −0.724062 0.689735i \(-0.757727\pi\)
0.951622 0.307271i \(-0.0994158\pi\)
\(348\) 522.011 251.387i 0.0804102 0.0387235i
\(349\) 874.420 + 421.099i 0.134116 + 0.0645871i 0.499739 0.866176i \(-0.333429\pi\)
−0.365622 + 0.930763i \(0.619144\pi\)
\(350\) 900.276 484.754i 0.137491 0.0740320i
\(351\) 3846.46 1852.36i 0.584926 0.281685i
\(352\) 8850.84 11098.6i 1.34020 1.68056i
\(353\) −4277.14 2059.76i −0.644898 0.310566i 0.0826957 0.996575i \(-0.473647\pi\)
−0.727594 + 0.686008i \(0.759361\pi\)
\(354\) 1929.06 + 2418.96i 0.289628 + 0.363182i
\(355\) −1654.13 7247.22i −0.247302 1.08350i
\(356\) −8241.52 10334.5i −1.22697 1.53857i
\(357\) −2512.03 1072.94i −0.372411 0.159064i
\(358\) −8199.53 + 10281.9i −1.21050 + 1.51792i
\(359\) 5853.29 + 2818.79i 0.860514 + 0.414402i 0.811469 0.584395i \(-0.198668\pi\)
0.0490447 + 0.998797i \(0.484382\pi\)
\(360\) −213.421 935.059i −0.0312452 0.136894i
\(361\) −1738.36 −0.253442
\(362\) 7271.58 1.05576
\(363\) 1226.41 + 5373.24i 0.177327 + 0.776919i
\(364\) −3055.80 + 4208.20i −0.440021 + 0.605960i
\(365\) 2658.18 11646.2i 0.381193 1.67012i
\(366\) −1417.22 + 6209.27i −0.202403 + 0.886786i
\(367\) 421.388 528.404i 0.0599354 0.0751566i −0.750960 0.660348i \(-0.770409\pi\)
0.810896 + 0.585191i \(0.198980\pi\)
\(368\) 5356.35 6716.65i 0.758748 0.951440i
\(369\) 222.332 974.099i 0.0313662 0.137424i
\(370\) −828.199 + 3628.58i −0.116368 + 0.509840i
\(371\) −2401.00 8691.21i −0.335993 1.21624i
\(372\) −783.527 3432.86i −0.109204 0.478455i
\(373\) 860.311 0.119424 0.0597121 0.998216i \(-0.480982\pi\)
0.0597121 + 0.998216i \(0.480982\pi\)
\(374\) 10222.3 1.41333
\(375\) 1071.22 + 4693.34i 0.147514 + 0.646302i
\(376\) −2742.33 1320.64i −0.376130 0.181135i
\(377\) −352.359 + 441.844i −0.0481363 + 0.0603611i
\(378\) 6442.35 8871.87i 0.876610 1.20719i
\(379\) −2115.34 2652.55i −0.286695 0.359504i 0.617540 0.786540i \(-0.288129\pi\)
−0.904235 + 0.427035i \(0.859558\pi\)
\(380\) 1573.63 + 6894.53i 0.212436 + 0.930741i
\(381\) −3136.78 3933.40i −0.421791 0.528909i
\(382\) −9479.37 4565.02i −1.26965 0.611432i
\(383\) 3178.97 3986.30i 0.424119 0.531829i −0.523162 0.852234i \(-0.675248\pi\)
0.947281 + 0.320405i \(0.103819\pi\)
\(384\) −2103.77 + 1013.12i −0.279576 + 0.134637i
\(385\) 10719.7 484.152i 1.41903 0.0640901i
\(386\) 7041.02 + 3390.78i 0.928442 + 0.447114i
\(387\) 2397.31 1154.48i 0.314889 0.151643i
\(388\) 733.564 3213.95i 0.0959821 0.420525i
\(389\) −1559.29 + 750.917i −0.203237 + 0.0978740i −0.532734 0.846283i \(-0.678835\pi\)
0.329496 + 0.944157i \(0.393121\pi\)
\(390\) −2716.12 3405.91i −0.352657 0.442217i
\(391\) 7485.29 0.968152
\(392\) −257.692 + 1909.66i −0.0332026 + 0.246051i
\(393\) −4166.40 −0.534777
\(394\) 4986.91 + 6253.39i 0.637658 + 0.799597i
\(395\) −11313.8 + 5448.46i −1.44117 + 0.694029i
\(396\) −1841.47 + 8067.99i −0.233680 + 1.02382i
\(397\) 117.884 56.7698i 0.0149028 0.00717681i −0.426418 0.904526i \(-0.640225\pi\)
0.441320 + 0.897350i \(0.354510\pi\)
\(398\) 16228.3 + 7815.16i 2.04385 + 0.984268i
\(399\) −2565.02 + 3532.33i −0.321834 + 0.443203i
\(400\) −613.718 + 295.551i −0.0767147 + 0.0369439i
\(401\) −2865.60 + 3593.35i −0.356861 + 0.447490i −0.927563 0.373668i \(-0.878100\pi\)
0.570701 + 0.821158i \(0.306671\pi\)
\(402\) −1655.97 797.473i −0.205453 0.0989411i
\(403\) 2141.40 + 2685.23i 0.264692 + 0.331913i
\(404\) 2719.30 + 11914.0i 0.334877 + 1.46719i
\(405\) 211.747 + 265.522i 0.0259797 + 0.0325775i
\(406\) −258.791 + 1428.12i −0.0316345 + 0.174573i
\(407\) 2888.74 3622.37i 0.351817 0.441165i
\(408\) −746.543 359.516i −0.0905868 0.0436243i
\(409\) 956.332 + 4189.97i 0.115618 + 0.506554i 0.999263 + 0.0383961i \(0.0122249\pi\)
−0.883645 + 0.468158i \(0.844918\pi\)
\(410\) −2724.00 −0.328119
\(411\) −5067.13 −0.608135
\(412\) 3054.52 + 13382.7i 0.365256 + 1.60029i
\(413\) −4172.26 + 188.439i −0.497103 + 0.0224515i
\(414\) −2502.28 + 10963.2i −0.297054 + 1.30148i
\(415\) 2542.18 11138.0i 0.300700 1.31745i
\(416\) 4850.38 6082.19i 0.571657 0.716836i
\(417\) 154.853 194.179i 0.0181851 0.0228033i
\(418\) 3635.23 15927.0i 0.425371 1.86367i
\(419\) −3181.26 + 13938.0i −0.370918 + 1.62510i 0.353287 + 0.935515i \(0.385064\pi\)
−0.724206 + 0.689584i \(0.757793\pi\)
\(420\) −5544.26 2368.06i −0.644124 0.275118i
\(421\) 2735.05 + 11983.0i 0.316622 + 1.38721i 0.843435 + 0.537231i \(0.180530\pi\)
−0.526813 + 0.849981i \(0.676613\pi\)
\(422\) −13357.3 −1.54082
\(423\) −8749.91 −1.00576
\(424\) −608.630 2666.58i −0.0697116 0.305426i
\(425\) −534.734 257.514i −0.0610315 0.0293912i
\(426\) 6015.38 7543.05i 0.684146 0.857892i
\(427\) −5658.19 6473.00i −0.641262 0.733607i
\(428\) 2004.84 + 2513.99i 0.226420 + 0.283922i
\(429\) 1206.72 + 5286.98i 0.135806 + 0.595007i
\(430\) −4522.93 5671.57i −0.507244 0.636064i
\(431\) −7417.41 3572.04i −0.828966 0.399209i −0.0292386 0.999572i \(-0.509308\pi\)
−0.799727 + 0.600364i \(0.795023\pi\)
\(432\) −4554.15 + 5710.72i −0.507203 + 0.636012i
\(433\) 6108.30 2941.60i 0.677936 0.326477i −0.0630373 0.998011i \(-0.520079\pi\)
0.740973 + 0.671534i \(0.234364\pi\)
\(434\) 8111.60 + 3464.63i 0.897165 + 0.383197i
\(435\) −590.254 284.251i −0.0650586 0.0313306i
\(436\) −661.147 + 318.392i −0.0726221 + 0.0349729i
\(437\) 2661.89 11662.5i 0.291386 1.27665i
\(438\) 13968.8 6727.01i 1.52387 0.733856i
\(439\) 1595.81 + 2001.08i 0.173493 + 0.217554i 0.860974 0.508649i \(-0.169855\pi\)
−0.687481 + 0.726203i \(0.741283\pi\)
\(440\) 3255.06 0.352679
\(441\) 1714.46 + 5267.46i 0.185127 + 0.568779i
\(442\) 5601.98 0.602848
\(443\) −2045.04 2564.40i −0.219329 0.275030i 0.659978 0.751285i \(-0.270565\pi\)
−0.879307 + 0.476255i \(0.841994\pi\)
\(444\) −2345.28 + 1129.43i −0.250681 + 0.120721i
\(445\) −3325.89 + 14571.7i −0.354297 + 1.55228i
\(446\) −6372.23 + 3068.70i −0.676533 + 0.325801i
\(447\) 3094.87 + 1490.41i 0.327477 + 0.157705i
\(448\) 2204.73 12166.7i 0.232509 1.28308i
\(449\) 1786.02 860.102i 0.187723 0.0904025i −0.337661 0.941268i \(-0.609636\pi\)
0.525384 + 0.850865i \(0.323922\pi\)
\(450\) 555.921 697.103i 0.0582364 0.0730261i
\(451\) 3055.15 + 1471.28i 0.318983 + 0.153614i
\(452\) −6773.34 8493.51i −0.704848 0.883851i
\(453\) −1543.52 6762.58i −0.160090 0.701399i
\(454\) −16683.4 20920.3i −1.72465 2.16264i
\(455\) 5874.55 265.322i 0.605282 0.0273373i
\(456\) −825.631 + 1035.31i −0.0847888 + 0.106322i
\(457\) −8966.44 4318.01i −0.917795 0.441987i −0.0855117 0.996337i \(-0.527252\pi\)
−0.832283 + 0.554350i \(0.812967\pi\)
\(458\) 2096.53 + 9185.51i 0.213896 + 0.937141i
\(459\) −6364.24 −0.647184
\(460\) 16520.7 1.67452
\(461\) −2157.91 9454.41i −0.218012 0.955175i −0.958944 0.283595i \(-0.908473\pi\)
0.740932 0.671580i \(-0.234384\pi\)
\(462\) 9165.85 + 10485.8i 0.923017 + 1.05594i
\(463\) −3785.92 + 16587.2i −0.380015 + 1.66495i 0.317406 + 0.948290i \(0.397188\pi\)
−0.697420 + 0.716662i \(0.745669\pi\)
\(464\) 215.156 942.659i 0.0215266 0.0943143i
\(465\) −2482.40 + 3112.83i −0.247567 + 0.310439i
\(466\) −3019.74 + 3786.64i −0.300187 + 0.376422i
\(467\) −1315.50 + 5763.59i −0.130352 + 0.571108i 0.866996 + 0.498316i \(0.166048\pi\)
−0.997347 + 0.0727918i \(0.976809\pi\)
\(468\) −1009.15 + 4421.37i −0.0996750 + 0.436705i
\(469\) 2184.53 1176.26i 0.215079 0.115809i
\(470\) 5308.24 + 23256.9i 0.520959 + 2.28247i
\(471\) −1926.00 −0.188420
\(472\) −1266.91 −0.123547
\(473\) 2009.45 + 8803.97i 0.195337 + 0.855829i
\(474\) −14684.0 7071.45i −1.42291 0.685237i
\(475\) −591.382 + 741.570i −0.0571252 + 0.0716328i
\(476\) 6826.07 3675.50i 0.657295 0.353921i
\(477\) −4902.36 6147.36i −0.470574 0.590081i
\(478\) 3738.51 + 16379.5i 0.357731 + 1.56732i
\(479\) 3252.23 + 4078.17i 0.310226 + 0.389011i 0.912363 0.409381i \(-0.134255\pi\)
−0.602137 + 0.798393i \(0.705684\pi\)
\(480\) 8125.11 + 3912.85i 0.772623 + 0.372076i
\(481\) 1583.07 1985.11i 0.150066 0.188177i
\(482\) 12104.6 5829.28i 1.14388 0.550864i
\(483\) 6711.68 + 7678.20i 0.632282 + 0.723333i
\(484\) −14093.3 6786.99i −1.32357 0.637396i
\(485\) −3358.43 + 1617.33i −0.314429 + 0.151421i
\(486\) 3458.76 15153.8i 0.322824 1.41439i
\(487\) 11935.3 5747.73i 1.11055 0.534814i 0.213591 0.976923i \(-0.431484\pi\)
0.896961 + 0.442109i \(0.145770\pi\)
\(488\) −1626.03 2038.97i −0.150833 0.189139i
\(489\) −10946.3 −1.01228
\(490\) 12960.6 7752.54i 1.19490 0.714743i
\(491\) −7358.25 −0.676320 −0.338160 0.941089i \(-0.609805\pi\)
−0.338160 + 0.941089i \(0.609805\pi\)
\(492\) −1187.84 1489.50i −0.108845 0.136488i
\(493\) 759.033 365.531i 0.0693410 0.0333929i
\(494\) 1992.16 8728.21i 0.181440 0.794941i
\(495\) 8430.65 4059.99i 0.765515 0.368652i
\(496\) −5294.26 2549.58i −0.479273 0.230805i
\(497\) 3467.95 + 12553.4i 0.312996 + 1.13299i
\(498\) 13359.2 6433.45i 1.20209 0.578895i
\(499\) −6586.95 + 8259.77i −0.590926 + 0.740998i −0.983933 0.178537i \(-0.942863\pi\)
0.393007 + 0.919536i \(0.371435\pi\)
\(500\) −12310.1 5928.21i −1.10104 0.530235i
\(501\) −5713.24 7164.18i −0.509479 0.638866i
\(502\) −2294.62 10053.4i −0.204012 0.893835i
\(503\) 382.124 + 479.168i 0.0338729 + 0.0424753i 0.798479 0.602022i \(-0.205638\pi\)
−0.764607 + 0.644497i \(0.777067\pi\)
\(504\) 447.446 + 1619.68i 0.0395453 + 0.143147i
\(505\) 8615.38 10803.3i 0.759167 0.951965i
\(506\) −34384.8 16558.9i −3.02093 1.45480i
\(507\) −949.035 4157.99i −0.0831324 0.364227i
\(508\) 14278.9 1.24710
\(509\) 11413.6 0.993904 0.496952 0.867778i \(-0.334453\pi\)
0.496952 + 0.867778i \(0.334453\pi\)
\(510\) 1445.06 + 6331.21i 0.125467 + 0.549708i
\(511\) −3731.77 + 20593.5i −0.323060 + 1.78278i
\(512\) −3475.67 + 15227.9i −0.300009 + 1.31442i
\(513\) −2263.23 + 9915.86i −0.194784 + 0.853403i
\(514\) 2588.82 3246.27i 0.222155 0.278574i
\(515\) 9677.45 12135.1i 0.828037 1.03833i
\(516\) 1128.97 4946.34i 0.0963181 0.421997i
\(517\) 6607.94 28951.3i 0.562122 2.46282i
\(518\) 1162.69 6416.24i 0.0986212 0.544234i
\(519\) 1405.88 + 6159.58i 0.118905 + 0.520955i
\(520\) 1783.81 0.150434
\(521\) 20971.6 1.76350 0.881749 0.471718i \(-0.156366\pi\)
0.881749 + 0.471718i \(0.156366\pi\)
\(522\) 281.629 + 1233.90i 0.0236141 + 0.103460i
\(523\) −6718.70 3235.56i −0.561737 0.270518i 0.131394 0.991330i \(-0.458055\pi\)
−0.693131 + 0.720812i \(0.743769\pi\)
\(524\) 7372.78 9245.17i 0.614659 0.770758i
\(525\) −215.318 779.414i −0.0178995 0.0647932i
\(526\) 9369.05 + 11748.4i 0.776635 + 0.973870i
\(527\) −1139.29 4991.56i −0.0941714 0.412592i
\(528\) −5784.84 7253.95i −0.476804 0.597894i
\(529\) −14216.1 6846.13i −1.16842 0.562680i
\(530\) −13365.4 + 16759.7i −1.09539 + 1.37357i
\(531\) −3281.33 + 1580.20i −0.268168 + 0.129143i
\(532\) −3299.18 11942.5i −0.268868 0.973256i
\(533\) 1674.26 + 806.282i 0.136061 + 0.0655234i
\(534\) −17477.6 + 8416.76i −1.41635 + 0.682077i
\(535\) 809.059 3544.72i 0.0653807 0.286452i
\(536\) 678.082 326.547i 0.0546431 0.0263147i
\(537\) 6484.39 + 8131.17i 0.521084 + 0.653419i
\(538\) −8670.79 −0.694841
\(539\) −18723.5 + 1694.74i −1.49625 + 0.135431i
\(540\) −14046.4 −1.11937
\(541\) 3927.22 + 4924.58i 0.312097 + 0.391357i 0.912996 0.407968i \(-0.133762\pi\)
−0.600900 + 0.799324i \(0.705191\pi\)
\(542\) −28152.3 + 13557.4i −2.23108 + 1.07443i
\(543\) 1279.62 5606.37i 0.101130 0.443079i
\(544\) −10448.4 + 5031.70i −0.823480 + 0.396567i
\(545\) 747.579 + 360.015i 0.0587574 + 0.0282961i
\(546\) 5023.01 + 5746.35i 0.393709 + 0.450405i
\(547\) 13321.9 6415.49i 1.04132 0.501474i 0.166562 0.986031i \(-0.446733\pi\)
0.874760 + 0.484557i \(0.161019\pi\)
\(548\) 8966.70 11243.9i 0.698975 0.876487i
\(549\) −6754.62 3252.85i −0.525100 0.252875i
\(550\) 1886.71 + 2365.86i 0.146272 + 0.183419i
\(551\) −299.594 1312.61i −0.0231636 0.101486i
\(552\) 1928.77 + 2418.61i 0.148721 + 0.186490i
\(553\) 19370.9 10430.3i 1.48957 0.802062i
\(554\) 4177.02 5237.82i 0.320333 0.401685i
\(555\) 2651.88 + 1277.08i 0.202822 + 0.0976738i
\(556\) 156.856 + 687.231i 0.0119643 + 0.0524192i
\(557\) −22369.4 −1.70165 −0.850827 0.525446i \(-0.823899\pi\)
−0.850827 + 0.525446i \(0.823899\pi\)
\(558\) 7691.66 0.583538
\(559\) 1101.21 + 4824.69i 0.0833202 + 0.365050i
\(560\) −8858.51 + 4769.87i −0.668465 + 0.359935i
\(561\) 1798.88 7881.39i 0.135381 0.593142i
\(562\) −4773.99 + 20916.2i −0.358325 + 1.56992i
\(563\) 1695.63 2126.26i 0.126931 0.159167i −0.714305 0.699835i \(-0.753257\pi\)
0.841236 + 0.540668i \(0.181828\pi\)
\(564\) −10402.3 + 13044.1i −0.776626 + 0.973858i
\(565\) −2733.40 + 11975.8i −0.203531 + 0.891728i
\(566\) 3513.12 15392.0i 0.260897 1.14306i
\(567\) −391.591 447.982i −0.0290040 0.0331807i
\(568\) 879.093 + 3851.56i 0.0649400 + 0.284521i
\(569\) −5896.78 −0.434457 −0.217228 0.976121i \(-0.569702\pi\)
−0.217228 + 0.976121i \(0.569702\pi\)
\(570\) 10378.3 0.762629
\(571\) 1130.50 + 4953.06i 0.0828548 + 0.363011i 0.999311 0.0371253i \(-0.0118201\pi\)
−0.916456 + 0.400136i \(0.868963\pi\)
\(572\) −13867.1 6678.05i −1.01366 0.488152i
\(573\) −5187.75 + 6505.23i −0.378222 + 0.474276i
\(574\) 4767.57 215.325i 0.346680 0.0156577i
\(575\) 1381.54 + 1732.40i 0.100199 + 0.125645i
\(576\) −2399.30 10512.0i −0.173560 0.760418i
\(577\) 10107.8 + 12674.8i 0.729278 + 0.914486i 0.998823 0.0485020i \(-0.0154447\pi\)
−0.269545 + 0.962988i \(0.586873\pi\)
\(578\) 10913.1 + 5255.46i 0.785336 + 0.378198i
\(579\) 3853.32 4831.91i 0.276578 0.346818i
\(580\) 1675.25 806.757i 0.119933 0.0577565i
\(581\) −3568.92 + 19694.8i −0.254843 + 1.40633i
\(582\) −4358.84 2099.11i −0.310446 0.149503i
\(583\) 24042.4 11578.2i 1.70795 0.822505i
\(584\) −1412.70 + 6189.44i −0.100099 + 0.438563i
\(585\) 4620.11 2224.93i 0.326527 0.157247i
\(586\) 10798.2 + 13540.5i 0.761209 + 0.954526i
\(587\) 8420.62 0.592089 0.296044 0.955174i \(-0.404332\pi\)
0.296044 + 0.955174i \(0.404332\pi\)
\(588\) 9890.81 + 3706.35i 0.693691 + 0.259944i
\(589\) −8182.30 −0.572404
\(590\) 6190.78 + 7762.99i 0.431983 + 0.541690i
\(591\) 5698.92 2744.45i 0.396653 0.191018i
\(592\) −966.647 + 4235.16i −0.0671097 + 0.294027i
\(593\) 18736.3 9022.92i 1.29748 0.624835i 0.347659 0.937621i \(-0.386977\pi\)
0.949823 + 0.312786i \(0.101262\pi\)
\(594\) 29235.1 + 14078.9i 2.01941 + 0.972498i
\(595\) −8061.65 3443.29i −0.555455 0.237246i
\(596\) −8783.82 + 4230.06i −0.603690 + 0.290722i
\(597\) 8881.25 11136.7i 0.608853 0.763478i
\(598\) −18843.3 9074.48i −1.28856 0.620540i
\(599\) −3265.09 4094.29i −0.222718 0.279279i 0.657901 0.753104i \(-0.271444\pi\)
−0.880619 + 0.473825i \(0.842873\pi\)
\(600\) −54.5811 239.135i −0.00371377 0.0162711i
\(601\) −6816.74 8547.92i −0.462663 0.580162i 0.494694 0.869067i \(-0.335280\pi\)
−0.957358 + 0.288906i \(0.906709\pi\)
\(602\) 8364.40 + 9568.92i 0.566292 + 0.647841i
\(603\) 1348.95 1691.53i 0.0911002 0.114236i
\(604\) 17737.4 + 8541.90i 1.19491 + 0.575438i
\(605\) 3935.81 + 17243.9i 0.264485 + 1.15878i
\(606\) 17934.1 1.20218
\(607\) −19595.2 −1.31029 −0.655144 0.755504i \(-0.727392\pi\)
−0.655144 + 0.755504i \(0.727392\pi\)
\(608\) 4124.05 + 18068.6i 0.275086 + 1.20523i
\(609\) 1055.54 + 450.841i 0.0702340 + 0.0299984i
\(610\) −4548.19 + 19926.9i −0.301886 + 1.32265i
\(611\) 3621.24 15865.7i 0.239771 1.05050i
\(612\) 4215.10 5285.57i 0.278408 0.349112i
\(613\) 3122.09 3914.97i 0.205710 0.257952i −0.668265 0.743923i \(-0.732963\pi\)
0.873975 + 0.485972i \(0.161534\pi\)
\(614\) −929.275 + 4071.42i −0.0610790 + 0.267604i
\(615\) −479.355 + 2100.19i −0.0314300 + 0.137704i
\(616\) −5697.03 + 257.304i −0.372630 + 0.0168297i
\(617\) −3395.31 14875.8i −0.221539 0.970628i −0.956320 0.292323i \(-0.905572\pi\)
0.734780 0.678305i \(-0.237285\pi\)
\(618\) 20145.0 1.31125
\(619\) 698.883 0.0453804 0.0226902 0.999743i \(-0.492777\pi\)
0.0226902 + 0.999743i \(0.492777\pi\)
\(620\) −2514.51 11016.8i −0.162879 0.713621i
\(621\) 21407.4 + 10309.2i 1.38333 + 0.666176i
\(622\) −20612.3 + 25847.0i −1.32874 + 1.66619i
\(623\) 4669.15 25766.4i 0.300266 1.65700i
\(624\) −3170.17 3975.26i −0.203379 0.255029i
\(625\) 3069.11 + 13446.6i 0.196423 + 0.860585i
\(626\) −15742.7 19740.7i −1.00512 1.26038i
\(627\) −11640.0 5605.51i −0.741396 0.357037i
\(628\) 3408.22 4273.77i 0.216565 0.271564i
\(629\) −3410.17 + 1642.25i −0.216172 + 0.104103i
\(630\) 7738.12 10656.3i 0.489356 0.673900i
\(631\) −15171.7 7306.33i −0.957176 0.460951i −0.110979 0.993823i \(-0.535399\pi\)
−0.846196 + 0.532871i \(0.821113\pi\)
\(632\) 6012.78 2895.60i 0.378442 0.182248i
\(633\) −2350.56 + 10298.5i −0.147593 + 0.646647i
\(634\) −6581.44 + 3169.46i −0.412275 + 0.198541i
\(635\) −10066.6 12623.1i −0.629105 0.788873i
\(636\) −14992.5 −0.934733
\(637\) −10260.7 + 928.739i −0.638218 + 0.0577676i
\(638\) −4295.35 −0.266543
\(639\) 7080.87 + 8879.13i 0.438364 + 0.549691i
\(640\) −6751.44 + 3251.32i −0.416991 + 0.200812i
\(641\) −1860.33 + 8150.64i −0.114631 + 0.502233i 0.884717 + 0.466129i \(0.154352\pi\)
−0.999348 + 0.0361035i \(0.988505\pi\)
\(642\) 4251.62 2047.47i 0.261368 0.125868i
\(643\) 15628.5 + 7526.29i 0.958520 + 0.461599i 0.846665 0.532126i \(-0.178607\pi\)
0.111855 + 0.993725i \(0.464321\pi\)
\(644\) −28914.6 + 1305.92i −1.76925 + 0.0799075i
\(645\) −5168.69 + 2489.11i −0.315530 + 0.151951i
\(646\) −8321.03 + 10434.2i −0.506790 + 0.635495i
\(647\) 7242.74 + 3487.92i 0.440095 + 0.211939i 0.640792 0.767715i \(-0.278606\pi\)
−0.200697 + 0.979653i \(0.564321\pi\)
\(648\) −112.534 141.113i −0.00682213 0.00855468i
\(649\) −2750.44 12050.5i −0.166355 0.728848i
\(650\) 1033.94 + 1296.52i 0.0623917 + 0.0782367i
\(651\) 4098.66 5644.33i 0.246757 0.339814i
\(652\) 19370.3 24289.6i 1.16350 1.45898i
\(653\) 15241.6 + 7339.97i 0.913399 + 0.439870i 0.830710 0.556705i \(-0.187935\pi\)
0.0826893 + 0.996575i \(0.473649\pi\)
\(654\) 239.637 + 1049.92i 0.0143280 + 0.0627752i
\(655\) −13370.9 −0.797625
\(656\) −3179.36 −0.189227
\(657\) 4061.09 + 17792.8i 0.241154 + 1.05656i
\(658\) −11128.9 40284.9i −0.659349 2.38673i
\(659\) 2744.99 12026.6i 0.162261 0.710910i −0.826689 0.562659i \(-0.809778\pi\)
0.988950 0.148251i \(-0.0473644\pi\)
\(660\) 3970.27 17394.9i 0.234155 1.02590i
\(661\) −13358.8 + 16751.4i −0.786077 + 0.985710i 0.213883 + 0.976859i \(0.431389\pi\)
−0.999961 + 0.00885078i \(0.997183\pi\)
\(662\) −11705.9 + 14678.7i −0.687254 + 0.861790i
\(663\) 985.808 4319.11i 0.0577460 0.253002i
\(664\) −1351.05 + 5919.34i −0.0789622 + 0.345956i
\(665\) −8231.71 + 11336.0i −0.480018 + 0.661042i
\(666\) −1265.30 5543.64i −0.0736176 0.322540i
\(667\) −3145.27 −0.182587
\(668\) 26007.2 1.50636
\(669\) 1244.61 + 5452.99i 0.0719273 + 0.315134i
\(670\) −5314.37 2559.27i −0.306436 0.147572i
\(671\) 15864.0 19892.8i 0.912701 1.14449i
\(672\) −14530.0 6206.04i −0.834086 0.356255i
\(673\) −9617.56 12060.0i −0.550861 0.690758i 0.425978 0.904734i \(-0.359930\pi\)
−0.976839 + 0.213976i \(0.931359\pi\)
\(674\) −9389.43 41137.8i −0.536598 2.35099i
\(675\) −1174.63 1472.94i −0.0669801 0.0839904i
\(676\) 10905.9 + 5252.01i 0.620500 + 0.298817i
\(677\) 9009.76 11297.9i 0.511482 0.641378i −0.457294 0.889315i \(-0.651181\pi\)
0.968776 + 0.247938i \(0.0797529\pi\)
\(678\) −14364.1 + 6917.37i −0.813641 + 0.391829i
\(679\) 5750.11 3096.15i 0.324991 0.174992i
\(680\) −2395.82 1153.77i −0.135111 0.0650661i
\(681\) −19065.4 + 9181.39i −1.07281 + 0.516640i
\(682\) −5808.76 + 25449.8i −0.326142 + 1.42892i
\(683\) −15175.3 + 7308.04i −0.850171 + 0.409421i −0.807641 0.589675i \(-0.799256\pi\)
−0.0425297 + 0.999095i \(0.513542\pi\)
\(684\) −6736.27 8447.02i −0.376561 0.472193i
\(685\) −16261.5 −0.907039
\(686\) −22071.0 + 14593.1i −1.22839 + 0.812196i
\(687\) 7450.94 0.413786
\(688\) −5279.02 6619.68i −0.292530 0.366821i
\(689\) 13175.6 6345.01i 0.728518 0.350836i
\(690\) 5395.01 23637.1i 0.297659 1.30413i
\(691\) −2523.54 + 1215.28i −0.138929 + 0.0669048i −0.502057 0.864835i \(-0.667423\pi\)
0.363128 + 0.931739i \(0.381709\pi\)
\(692\) −16155.8 7780.24i −0.887504 0.427399i
\(693\) −14434.5 + 7772.26i −0.791228 + 0.426037i
\(694\) 24806.4 11946.1i 1.35683 0.653414i
\(695\) 496.956 623.163i 0.0271232 0.0340114i
\(696\) 313.692 + 151.066i 0.0170840 + 0.00822723i
\(697\) −1727.18 2165.82i −0.0938618 0.117699i
\(698\) 899.530 + 3941.10i 0.0487790 + 0.213715i
\(699\) 2388.09 + 2994.57i 0.129221 + 0.162039i
\(700\) 2110.53 + 901.449i 0.113958 + 0.0486737i
\(701\) 10064.6 12620.6i 0.542275 0.679991i −0.432896 0.901444i \(-0.642508\pi\)
0.975171 + 0.221452i \(0.0710798\pi\)
\(702\) 16021.2 + 7715.42i 0.861371 + 0.414814i
\(703\) 1346.01 + 5897.25i 0.0722129 + 0.316386i
\(704\) 36593.6 1.95905
\(705\) 18865.1 1.00780
\(706\) −4399.96 19277.5i −0.234553 1.02765i
\(707\) −14224.7 + 19589.2i −0.756686 + 1.04205i
\(708\) −1545.28 + 6770.33i −0.0820272 + 0.359385i
\(709\) −5764.31 + 25255.1i −0.305336 + 1.33776i 0.556615 + 0.830771i \(0.312100\pi\)
−0.861950 + 0.506993i \(0.830757\pi\)
\(710\) 19304.7 24207.3i 1.02041 1.27956i
\(711\) 11961.6 14999.3i 0.630933 0.791165i
\(712\) 1767.55 7744.16i 0.0930364 0.407619i
\(713\) −4253.45 + 18635.6i −0.223412 + 0.978834i
\(714\) −3029.62 10966.7i −0.158797 0.574817i
\(715\) 3872.63 + 16967.1i 0.202557 + 0.887459i
\(716\) −29517.6 −1.54067
\(717\) 13286.4 0.692036
\(718\) 6021.37 + 26381.4i 0.312974 + 1.37123i
\(719\) 12833.2 + 6180.12i 0.665641 + 0.320556i 0.736015 0.676965i \(-0.236705\pi\)
−0.0703743 + 0.997521i \(0.522419\pi\)
\(720\) −5470.14 + 6859.34i −0.283139 + 0.355045i
\(721\) −15978.3 + 22004.0i −0.825331 + 1.13658i
\(722\) −4514.43 5660.92i −0.232701 0.291797i
\(723\) −2364.25 10358.4i −0.121615 0.532828i
\(724\) 10176.0 + 12760.4i 0.522361 + 0.655021i
\(725\) 224.691 + 108.206i 0.0115101 + 0.00554297i
\(726\) −14312.9 + 17947.8i −0.731682 + 0.917500i
\(727\) −6152.76 + 2963.01i −0.313883 + 0.151158i −0.584192 0.811615i \(-0.698589\pi\)
0.270309 + 0.962774i \(0.412874\pi\)
\(728\) −3122.05 + 141.006i −0.158944 + 0.00717863i
\(729\) −11856.4 5709.76i −0.602369 0.290086i
\(730\) 44828.9 21588.4i 2.27286 1.09455i
\(731\) 1641.58 7192.25i 0.0830591 0.363906i
\(732\) −12879.5 + 6202.43i −0.650327 + 0.313181i
\(733\) −7596.76 9526.03i −0.382800 0.480016i 0.552681 0.833393i \(-0.313605\pi\)
−0.935481 + 0.353377i \(0.885033\pi\)
\(734\) 2815.06 0.141561
\(735\) −3696.44 11356.8i −0.185504 0.569937i
\(736\) 43296.1 2.16836
\(737\) 4578.12 + 5740.78i 0.228816 + 0.286926i
\(738\) 3749.51 1805.67i 0.187021 0.0900645i
\(739\) −585.871 + 2566.87i −0.0291632 + 0.127772i −0.987414 0.158157i \(-0.949445\pi\)
0.958251 + 0.285929i \(0.0923021\pi\)
\(740\) −7526.52 + 3624.58i −0.373893 + 0.180057i
\(741\) −6378.85 3071.89i −0.316239 0.152293i
\(742\) 22067.4 30389.4i 1.09181 1.50355i
\(743\) −14411.9 + 6940.40i −0.711602 + 0.342690i −0.754419 0.656393i \(-0.772081\pi\)
0.0428164 + 0.999083i \(0.486367\pi\)
\(744\) 1319.28 1654.32i 0.0650096 0.0815194i
\(745\) 9932.12 + 4783.06i 0.488436 + 0.235218i
\(746\) 2234.19 + 2801.58i 0.109651 + 0.137498i
\(747\) 3883.87 + 17016.3i 0.190232 + 0.833461i
\(748\) 14305.4 + 17938.4i 0.699275 + 0.876863i
\(749\) −1135.82 + 6267.96i −0.0554100 + 0.305776i
\(750\) −12501.8 + 15676.8i −0.608670 + 0.763248i
\(751\) −1913.87 921.673i −0.0929937 0.0447834i 0.386809 0.922160i \(-0.373577\pi\)
−0.479802 + 0.877377i \(0.659292\pi\)
\(752\) 6195.61 + 27144.7i 0.300440 + 1.31631i
\(753\) −8154.94 −0.394664
\(754\) −2353.91 −0.113693
\(755\) −4953.48 21702.6i −0.238776 1.04614i
\(756\) 24584.2 1110.34i 1.18270 0.0534160i
\(757\) 8137.25 35651.6i 0.390691 1.71173i −0.271537 0.962428i \(-0.587532\pi\)
0.662228 0.749302i \(-0.269611\pi\)
\(758\) 3144.53 13777.1i 0.150679 0.660166i
\(759\) −18817.7 + 23596.6i −0.899920 + 1.12846i
\(760\) −2649.63 + 3322.53i −0.126463 + 0.158580i
\(761\) −7550.97 + 33083.0i −0.359688 + 1.57590i 0.394283 + 0.918989i \(0.370993\pi\)
−0.753971 + 0.656907i \(0.771864\pi\)
\(762\) 4662.95 20429.7i 0.221681 0.971247i
\(763\) −1336.88 571.008i −0.0634315 0.0270929i
\(764\) −5254.86 23023.1i −0.248841 1.09024i
\(765\) −7644.30 −0.361281
\(766\) 21236.9 1.00172
\(767\) −1507.28 6603.82i −0.0709579 0.310887i
\(768\) 7088.38 + 3413.58i 0.333047 + 0.160387i
\(769\) −7120.94 + 8929.37i −0.333924 + 0.418728i −0.920240 0.391355i \(-0.872006\pi\)
0.586316 + 0.810083i \(0.300578\pi\)
\(770\) 29415.2 + 33651.2i 1.37669 + 1.57494i