Properties

Label 27.4.e.a.7.2
Level 27
Weight 4
Character 27.7
Analytic conductor 1.593
Analytic rank 0
Dimension 48
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 27 = 3^{3} \)
Weight: \( k \) = \( 4 \)
Character orbit: \([\chi]\) = 27.e (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.59305157016\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(8\) over \(\Q(\zeta_{9})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 7.2
Character \(\chi\) = 27.7
Dual form 27.4.e.a.4.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.05233 + 1.47493i) q^{2} +(4.37853 - 2.79794i) q^{3} +(8.11761 - 6.81148i) q^{4} +(3.22691 + 18.3007i) q^{5} +(-13.6165 + 17.7962i) q^{6} +(14.4087 + 12.0903i) q^{7} +(-5.59920 + 9.69809i) q^{8} +(11.3431 - 24.5017i) q^{9} +O(q^{10})\) \(q+(-4.05233 + 1.47493i) q^{2} +(4.37853 - 2.79794i) q^{3} +(8.11761 - 6.81148i) q^{4} +(3.22691 + 18.3007i) q^{5} +(-13.6165 + 17.7962i) q^{6} +(14.4087 + 12.0903i) q^{7} +(-5.59920 + 9.69809i) q^{8} +(11.3431 - 24.5017i) q^{9} +(-40.0687 - 69.4011i) q^{10} +(-1.50172 + 8.51670i) q^{11} +(16.4851 - 52.5369i) q^{12} +(-3.90473 - 1.42120i) q^{13} +(-76.2211 - 27.7422i) q^{14} +(65.3335 + 71.1015i) q^{15} +(-6.33510 + 35.9281i) q^{16} +(-59.2863 - 102.687i) q^{17} +(-9.82751 + 116.019i) q^{18} +(9.28989 - 16.0906i) q^{19} +(150.850 + 126.578i) q^{20} +(96.9169 + 12.6232i) q^{21} +(-6.47604 - 36.7274i) q^{22} +(-15.0361 + 12.6168i) q^{23} +(2.61844 + 58.1296i) q^{24} +(-207.042 + 75.3570i) q^{25} +17.9194 q^{26} +(-18.8885 - 139.019i) q^{27} +199.317 q^{28} +(189.042 - 68.8055i) q^{29} +(-369.622 - 191.765i) q^{30} +(-25.8306 + 21.6744i) q^{31} +(-42.8761 - 243.163i) q^{32} +(17.2539 + 41.4924i) q^{33} +(391.703 + 328.678i) q^{34} +(-174.766 + 302.704i) q^{35} +(-74.8147 - 276.159i) q^{36} +(-26.0007 - 45.0345i) q^{37} +(-13.9133 + 78.9062i) q^{38} +(-21.0734 + 4.70241i) q^{39} +(-195.550 - 71.1744i) q^{40} +(89.8291 + 32.6951i) q^{41} +(-411.358 + 91.7920i) q^{42} +(36.6219 - 207.693i) q^{43} +(45.8210 + 79.3643i) q^{44} +(485.002 + 128.521i) q^{45} +(42.3223 - 73.3044i) q^{46} +(-276.865 - 232.318i) q^{47} +(72.7863 + 175.038i) q^{48} +(1.87304 + 10.6225i) q^{49} +(727.855 - 610.743i) q^{50} +(-546.899 - 283.738i) q^{51} +(-41.3776 + 15.0602i) q^{52} -126.235 q^{53} +(281.585 + 535.491i) q^{54} -160.708 q^{55} +(-197.930 + 72.0407i) q^{56} +(-4.34437 - 96.4455i) q^{57} +(-664.575 + 557.645i) q^{58} +(123.925 + 702.811i) q^{59} +(1014.66 + 132.157i) q^{60} +(149.897 + 125.779i) q^{61} +(72.7059 - 125.930i) q^{62} +(459.673 - 215.897i) q^{63} +(386.466 + 669.378i) q^{64} +(13.4089 - 76.0454i) q^{65} +(-131.117 - 142.693i) q^{66} +(-449.012 - 163.427i) q^{67} +(-1180.71 - 429.745i) q^{68} +(-30.5350 + 97.3130i) q^{69} +(261.744 - 1484.42i) q^{70} +(302.323 + 523.639i) q^{71} +(174.108 + 247.196i) q^{72} +(504.499 - 873.818i) q^{73} +(171.786 + 144.146i) q^{74} +(-695.694 + 909.244i) q^{75} +(-34.1889 - 193.895i) q^{76} +(-124.608 + 104.558i) q^{77} +(78.4607 - 50.1375i) q^{78} +(-923.483 + 336.120i) q^{79} -677.953 q^{80} +(-471.670 - 555.849i) q^{81} -412.240 q^{82} +(-383.542 + 139.598i) q^{83} +(872.717 - 557.678i) q^{84} +(1687.93 - 1416.34i) q^{85} +(157.928 + 895.656i) q^{86} +(635.210 - 830.194i) q^{87} +(-74.1873 - 62.2506i) q^{88} +(359.238 - 622.219i) q^{89} +(-2154.95 + 194.533i) q^{90} +(-39.0792 - 67.6871i) q^{91} +(-36.1181 + 204.836i) q^{92} +(-52.4562 + 167.175i) q^{93} +(1464.60 + 533.071i) q^{94} +(324.446 + 118.089i) q^{95} +(-868.089 - 944.730i) q^{96} +(-278.521 + 1579.57i) q^{97} +(-23.2576 - 40.2833i) q^{98} +(191.640 + 133.400i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 6q^{2} - 6q^{3} - 6q^{4} + 6q^{5} - 18q^{6} - 6q^{7} - 75q^{8} - 54q^{9} + O(q^{10}) \) \( 48q - 6q^{2} - 6q^{3} - 6q^{4} + 6q^{5} - 18q^{6} - 6q^{7} - 75q^{8} - 54q^{9} - 3q^{10} + 57q^{11} + 147q^{12} - 6q^{13} + 51q^{14} - 36q^{15} + 18q^{16} - 207q^{17} - 639q^{18} - 3q^{19} - 597q^{20} - 138q^{21} - 60q^{22} + 402q^{23} + 1170q^{24} - 222q^{25} + 1914q^{26} + 1125q^{27} - 12q^{28} + 480q^{29} + 459q^{30} - 60q^{31} - 648q^{32} - 639q^{33} + 288q^{34} - 1257q^{35} - 2088q^{36} - 3q^{37} - 1524q^{38} - 768q^{39} + 561q^{40} - 1731q^{41} - 3078q^{42} + 507q^{43} - 2211q^{44} - 360q^{45} - 3q^{46} + 984q^{47} + 2289q^{48} - 600q^{49} + 4359q^{50} + 2655q^{51} - 1431q^{52} + 2736q^{53} + 5454q^{54} - 12q^{55} + 5907q^{56} + 3426q^{57} - 897q^{58} + 2238q^{59} + 1314q^{60} + 48q^{61} - 2118q^{62} - 2610q^{63} - 195q^{64} - 6990q^{65} - 11115q^{66} - 681q^{67} - 11169q^{68} - 6138q^{69} - 33q^{70} - 3105q^{71} - 36q^{72} - 219q^{73} + 3543q^{74} + 2604q^{75} + 3426q^{76} + 4722q^{77} + 6066q^{78} + 2802q^{79} + 9870q^{80} + 3438q^{81} - 12q^{82} + 3468q^{83} + 7674q^{84} + 2529q^{85} + 3624q^{86} + 2880q^{87} + 2850q^{88} - 5202q^{89} - 12510q^{90} + 267q^{91} - 18453q^{92} - 11802q^{93} - 1653q^{94} - 10113q^{95} - 14094q^{96} - 3381q^{97} - 4392q^{98} - 1242q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.05233 + 1.47493i −1.43272 + 0.521466i −0.937708 0.347424i \(-0.887057\pi\)
−0.495007 + 0.868889i \(0.664834\pi\)
\(3\) 4.37853 2.79794i 0.842649 0.538464i
\(4\) 8.11761 6.81148i 1.01470 0.851436i
\(5\) 3.22691 + 18.3007i 0.288624 + 1.63687i 0.692047 + 0.721853i \(0.256709\pi\)
−0.403423 + 0.915013i \(0.632180\pi\)
\(6\) −13.6165 + 17.7962i −0.926485 + 1.21088i
\(7\) 14.4087 + 12.0903i 0.777996 + 0.652816i 0.942743 0.333520i \(-0.108236\pi\)
−0.164747 + 0.986336i \(0.552681\pi\)
\(8\) −5.59920 + 9.69809i −0.247452 + 0.428599i
\(9\) 11.3431 24.5017i 0.420113 0.907472i
\(10\) −40.0687 69.4011i −1.26708 2.19466i
\(11\) −1.50172 + 8.51670i −0.0411625 + 0.233444i −0.998447 0.0557022i \(-0.982260\pi\)
0.957285 + 0.289146i \(0.0933714\pi\)
\(12\) 16.4851 52.5369i 0.396569 1.26384i
\(13\) −3.90473 1.42120i −0.0833059 0.0303209i 0.300031 0.953929i \(-0.403003\pi\)
−0.383337 + 0.923609i \(0.625225\pi\)
\(14\) −76.2211 27.7422i −1.45507 0.529601i
\(15\) 65.3335 + 71.1015i 1.12460 + 1.22389i
\(16\) −6.33510 + 35.9281i −0.0989859 + 0.561377i
\(17\) −59.2863 102.687i −0.845826 1.46501i −0.884902 0.465777i \(-0.845775\pi\)
0.0390759 0.999236i \(-0.487559\pi\)
\(18\) −9.82751 + 116.019i −0.128687 + 1.51922i
\(19\) 9.28989 16.0906i 0.112171 0.194286i −0.804474 0.593987i \(-0.797553\pi\)
0.916645 + 0.399702i \(0.130886\pi\)
\(20\) 150.850 + 126.578i 1.68655 + 1.41519i
\(21\) 96.9169 + 12.6232i 1.00710 + 0.131172i
\(22\) −6.47604 36.7274i −0.0627589 0.355923i
\(23\) −15.0361 + 12.6168i −0.136315 + 0.114382i −0.708396 0.705816i \(-0.750581\pi\)
0.572081 + 0.820197i \(0.306136\pi\)
\(24\) 2.61844 + 58.1296i 0.0222703 + 0.494402i
\(25\) −207.042 + 75.3570i −1.65633 + 0.602856i
\(26\) 17.9194 0.135165
\(27\) −18.8885 139.019i −0.134633 0.990896i
\(28\) 199.317 1.34526
\(29\) 189.042 68.8055i 1.21049 0.440581i 0.343614 0.939111i \(-0.388349\pi\)
0.866873 + 0.498530i \(0.166126\pi\)
\(30\) −369.622 191.765i −2.24945 1.16704i
\(31\) −25.8306 + 21.6744i −0.149655 + 0.125576i −0.714541 0.699593i \(-0.753365\pi\)
0.564886 + 0.825169i \(0.308920\pi\)
\(32\) −42.8761 243.163i −0.236859 1.34330i
\(33\) 17.2539 + 41.4924i 0.0910156 + 0.218876i
\(34\) 391.703 + 328.678i 1.97578 + 1.65788i
\(35\) −174.766 + 302.704i −0.844025 + 1.46189i
\(36\) −74.8147 276.159i −0.346364 1.27851i
\(37\) −26.0007 45.0345i −0.115527 0.200098i 0.802463 0.596701i \(-0.203522\pi\)
−0.917990 + 0.396603i \(0.870189\pi\)
\(38\) −13.9133 + 78.9062i −0.0593956 + 0.336849i
\(39\) −21.0734 + 4.70241i −0.0865243 + 0.0193074i
\(40\) −195.550 71.1744i −0.772980 0.281342i
\(41\) 89.8291 + 32.6951i 0.342169 + 0.124539i 0.507388 0.861717i \(-0.330611\pi\)
−0.165219 + 0.986257i \(0.552833\pi\)
\(42\) −411.358 + 91.7920i −1.51128 + 0.337234i
\(43\) 36.6219 207.693i 0.129879 0.736580i −0.848411 0.529338i \(-0.822440\pi\)
0.978290 0.207242i \(-0.0664486\pi\)
\(44\) 45.8210 + 79.3643i 0.156995 + 0.271923i
\(45\) 485.002 + 128.521i 1.60666 + 0.425751i
\(46\) 42.3223 73.3044i 0.135654 0.234960i
\(47\) −276.865 232.318i −0.859254 0.721000i 0.102553 0.994728i \(-0.467299\pi\)
−0.961807 + 0.273728i \(0.911743\pi\)
\(48\) 72.7863 + 175.038i 0.218871 + 0.526344i
\(49\) 1.87304 + 10.6225i 0.00546074 + 0.0309694i
\(50\) 727.855 610.743i 2.05869 1.72744i
\(51\) −546.899 283.738i −1.50159 0.779045i
\(52\) −41.3776 + 15.0602i −0.110347 + 0.0401630i
\(53\) −126.235 −0.327164 −0.163582 0.986530i \(-0.552305\pi\)
−0.163582 + 0.986530i \(0.552305\pi\)
\(54\) 281.585 + 535.491i 0.709609 + 1.34946i
\(55\) −160.708 −0.393997
\(56\) −197.930 + 72.0407i −0.472313 + 0.171908i
\(57\) −4.34437 96.4455i −0.0100952 0.224114i
\(58\) −664.575 + 557.645i −1.50454 + 1.26245i
\(59\) 123.925 + 702.811i 0.273451 + 1.55082i 0.743839 + 0.668358i \(0.233003\pi\)
−0.470388 + 0.882459i \(0.655886\pi\)
\(60\) 1014.66 + 132.157i 2.18320 + 0.284356i
\(61\) 149.897 + 125.779i 0.314629 + 0.264005i 0.786402 0.617715i \(-0.211941\pi\)
−0.471773 + 0.881720i \(0.656386\pi\)
\(62\) 72.7059 125.930i 0.148930 0.257954i
\(63\) 459.673 215.897i 0.919259 0.431753i
\(64\) 386.466 + 669.378i 0.754816 + 1.30738i
\(65\) 13.4089 76.0454i 0.0255871 0.145112i
\(66\) −131.117 142.693i −0.244536 0.266125i
\(67\) −449.012 163.427i −0.818739 0.297997i −0.101510 0.994834i \(-0.532368\pi\)
−0.717229 + 0.696838i \(0.754590\pi\)
\(68\) −1180.71 429.745i −2.10563 0.766385i
\(69\) −30.5350 + 97.3130i −0.0532750 + 0.169784i
\(70\) 261.744 1484.42i 0.446920 2.53461i
\(71\) 302.323 + 523.639i 0.505340 + 0.875275i 0.999981 + 0.00617768i \(0.00196643\pi\)
−0.494640 + 0.869098i \(0.664700\pi\)
\(72\) 174.108 + 247.196i 0.284984 + 0.404616i
\(73\) 504.499 873.818i 0.808865 1.40100i −0.104785 0.994495i \(-0.533415\pi\)
0.913650 0.406501i \(-0.133251\pi\)
\(74\) 171.786 + 144.146i 0.269861 + 0.226440i
\(75\) −695.694 + 909.244i −1.07109 + 1.39987i
\(76\) −34.1889 193.895i −0.0516018 0.292648i
\(77\) −124.608 + 104.558i −0.184420 + 0.154747i
\(78\) 78.4607 50.1375i 0.113896 0.0727814i
\(79\) −923.483 + 336.120i −1.31519 + 0.478690i −0.901914 0.431917i \(-0.857838\pi\)
−0.413275 + 0.910606i \(0.635615\pi\)
\(80\) −677.953 −0.947468
\(81\) −471.670 555.849i −0.647010 0.762482i
\(82\) −412.240 −0.555174
\(83\) −383.542 + 139.598i −0.507220 + 0.184613i −0.582938 0.812516i \(-0.698097\pi\)
0.0757187 + 0.997129i \(0.475875\pi\)
\(84\) 872.717 557.678i 1.13359 0.724377i
\(85\) 1687.93 1416.34i 2.15391 1.80734i
\(86\) 157.928 + 895.656i 0.198022 + 1.12304i
\(87\) 635.210 830.194i 0.782778 1.02306i
\(88\) −74.1873 62.2506i −0.0898681 0.0754083i
\(89\) 359.238 622.219i 0.427856 0.741068i −0.568827 0.822457i \(-0.692602\pi\)
0.996682 + 0.0813896i \(0.0259358\pi\)
\(90\) −2154.95 + 194.533i −2.52391 + 0.227840i
\(91\) −39.0792 67.6871i −0.0450177 0.0779729i
\(92\) −36.1181 + 204.836i −0.0409302 + 0.232126i
\(93\) −52.4562 + 167.175i −0.0584888 + 0.186400i
\(94\) 1464.60 + 533.071i 1.60704 + 0.584916i
\(95\) 324.446 + 118.089i 0.350395 + 0.127533i
\(96\) −868.089 944.730i −0.922906 1.00439i
\(97\) −278.521 + 1579.57i −0.291542 + 1.65341i 0.389394 + 0.921071i \(0.372685\pi\)
−0.680935 + 0.732343i \(0.738427\pi\)
\(98\) −23.2576 40.2833i −0.0239732 0.0415228i
\(99\) 191.640 + 133.400i 0.194551 + 0.135427i
\(100\) −1167.39 + 2021.98i −1.16739 + 2.02198i
\(101\) 249.440 + 209.305i 0.245744 + 0.206204i 0.757337 0.653024i \(-0.226500\pi\)
−0.511593 + 0.859228i \(0.670944\pi\)
\(102\) 2634.71 + 343.164i 2.55760 + 0.333121i
\(103\) 110.840 + 628.604i 0.106033 + 0.601341i 0.990803 + 0.135314i \(0.0432042\pi\)
−0.884770 + 0.466028i \(0.845685\pi\)
\(104\) 35.6463 29.9108i 0.0336097 0.0282019i
\(105\) 81.7286 + 1814.38i 0.0759609 + 1.68634i
\(106\) 511.546 186.188i 0.468733 0.170605i
\(107\) 945.384 0.854147 0.427074 0.904217i \(-0.359544\pi\)
0.427074 + 0.904217i \(0.359544\pi\)
\(108\) −1100.25 999.842i −0.980296 0.890832i
\(109\) −648.494 −0.569857 −0.284929 0.958549i \(-0.591970\pi\)
−0.284929 + 0.958549i \(0.591970\pi\)
\(110\) 651.241 237.032i 0.564485 0.205456i
\(111\) −239.849 124.437i −0.205094 0.106405i
\(112\) −525.663 + 441.084i −0.443487 + 0.372129i
\(113\) 118.695 + 673.152i 0.0988131 + 0.560397i 0.993512 + 0.113727i \(0.0362790\pi\)
−0.894699 + 0.446670i \(0.852610\pi\)
\(114\) 159.855 + 384.422i 0.131332 + 0.315828i
\(115\) −279.416 234.458i −0.226571 0.190116i
\(116\) 1065.90 1846.19i 0.853156 1.47771i
\(117\) −79.1135 + 79.5518i −0.0625132 + 0.0628595i
\(118\) −1538.78 2665.24i −1.20048 2.07928i
\(119\) 387.280 2196.37i 0.298335 1.69194i
\(120\) −1055.36 + 235.498i −0.802843 + 0.179150i
\(121\) 1180.45 + 429.649i 0.886891 + 0.322802i
\(122\) −792.947 288.609i −0.588443 0.214176i
\(123\) 484.798 108.180i 0.355388 0.0793029i
\(124\) −62.0476 + 351.889i −0.0449358 + 0.254844i
\(125\) −885.753 1534.17i −0.633793 1.09776i
\(126\) −1544.31 + 1552.87i −1.09189 + 1.09794i
\(127\) −436.950 + 756.820i −0.305300 + 0.528795i −0.977328 0.211731i \(-0.932090\pi\)
0.672028 + 0.740526i \(0.265423\pi\)
\(128\) −1040.20 872.828i −0.718291 0.602718i
\(129\) −420.763 1011.86i −0.287179 0.690613i
\(130\) 57.8243 + 327.938i 0.0390118 + 0.221247i
\(131\) −124.303 + 104.303i −0.0829041 + 0.0695648i −0.683298 0.730140i \(-0.739455\pi\)
0.600394 + 0.799705i \(0.295011\pi\)
\(132\) 422.685 + 219.294i 0.278712 + 0.144599i
\(133\) 328.395 119.526i 0.214101 0.0779265i
\(134\) 2060.59 1.32842
\(135\) 2483.19 794.274i 1.58310 0.506372i
\(136\) 1327.82 0.837205
\(137\) −991.715 + 360.955i −0.618452 + 0.225098i −0.632197 0.774807i \(-0.717847\pi\)
0.0137453 + 0.999906i \(0.495625\pi\)
\(138\) −19.7918 439.381i −0.0122087 0.271033i
\(139\) −741.314 + 622.036i −0.452356 + 0.379572i −0.840309 0.542107i \(-0.817627\pi\)
0.387953 + 0.921679i \(0.373182\pi\)
\(140\) 643.179 + 3647.65i 0.388275 + 2.20202i
\(141\) −1862.27 242.557i −1.11228 0.144872i
\(142\) −1997.44 1676.05i −1.18043 0.990503i
\(143\) 17.9678 31.1211i 0.0105073 0.0181992i
\(144\) 808.442 + 562.755i 0.467848 + 0.325669i
\(145\) 1869.21 + 3237.57i 1.07055 + 1.85424i
\(146\) −755.579 + 4285.10i −0.428302 + 2.42902i
\(147\) 37.9223 + 41.2703i 0.0212774 + 0.0231559i
\(148\) −517.815 188.469i −0.287596 0.104676i
\(149\) −2239.51 815.117i −1.23133 0.448168i −0.357277 0.933998i \(-0.616295\pi\)
−0.874053 + 0.485831i \(0.838517\pi\)
\(150\) 1478.11 4710.65i 0.804583 2.56415i
\(151\) 119.013 674.959i 0.0641402 0.363757i −0.935797 0.352540i \(-0.885318\pi\)
0.999937 0.0112176i \(-0.00357076\pi\)
\(152\) 104.032 + 180.188i 0.0555138 + 0.0961527i
\(153\) −3188.50 + 287.835i −1.68480 + 0.152092i
\(154\) 350.735 607.492i 0.183526 0.317877i
\(155\) −480.011 402.777i −0.248745 0.208721i
\(156\) −139.035 + 181.714i −0.0713573 + 0.0932611i
\(157\) −126.612 718.052i −0.0643613 0.365011i −0.999930 0.0118653i \(-0.996223\pi\)
0.935568 0.353146i \(-0.114888\pi\)
\(158\) 3246.50 2724.14i 1.63467 1.37165i
\(159\) −552.724 + 353.198i −0.275685 + 0.176166i
\(160\) 4311.69 1569.33i 2.13043 0.775414i
\(161\) −369.191 −0.180723
\(162\) 2731.20 + 1556.80i 1.32459 + 0.755025i
\(163\) 1261.45 0.606162 0.303081 0.952965i \(-0.401985\pi\)
0.303081 + 0.952965i \(0.401985\pi\)
\(164\) 951.900 346.463i 0.453237 0.164965i
\(165\) −703.664 + 449.651i −0.332001 + 0.212153i
\(166\) 1348.34 1131.39i 0.630432 0.528995i
\(167\) −75.1251 426.056i −0.0348105 0.197420i 0.962443 0.271484i \(-0.0875143\pi\)
−0.997254 + 0.0740635i \(0.976403\pi\)
\(168\) −665.078 + 869.229i −0.305428 + 0.399182i
\(169\) −1669.77 1401.11i −0.760024 0.637736i
\(170\) −4751.06 + 8229.07i −2.14347 + 3.71259i
\(171\) −288.871 410.134i −0.129184 0.183414i
\(172\) −1117.42 1935.42i −0.495362 0.857992i
\(173\) 405.828 2301.56i 0.178350 1.01147i −0.755856 0.654738i \(-0.772779\pi\)
0.934206 0.356734i \(-0.116110\pi\)
\(174\) −1349.61 + 4301.11i −0.588008 + 1.87394i
\(175\) −3894.29 1417.41i −1.68218 0.612262i
\(176\) −296.476 107.908i −0.126976 0.0462153i
\(177\) 2509.03 + 2730.55i 1.06548 + 1.15955i
\(178\) −538.024 + 3051.29i −0.226554 + 1.28485i
\(179\) 1238.82 + 2145.71i 0.517286 + 0.895965i 0.999798 + 0.0200760i \(0.00639083\pi\)
−0.482513 + 0.875889i \(0.660276\pi\)
\(180\) 4812.48 2260.30i 1.99278 0.935961i
\(181\) 1030.52 1784.91i 0.423193 0.732993i −0.573056 0.819516i \(-0.694242\pi\)
0.996250 + 0.0865234i \(0.0275757\pi\)
\(182\) 258.195 + 216.652i 0.105158 + 0.0882378i
\(183\) 1008.25 + 131.322i 0.407279 + 0.0530471i
\(184\) −38.1686 216.465i −0.0152925 0.0867283i
\(185\) 740.262 621.154i 0.294190 0.246855i
\(186\) −34.0006 754.816i −0.0134035 0.297558i
\(187\) 963.586 350.717i 0.376815 0.137149i
\(188\) −3829.91 −1.48577
\(189\) 1408.62 2231.45i 0.542129 0.858804i
\(190\) −1488.94 −0.568520
\(191\) −1746.03 + 635.504i −0.661458 + 0.240751i −0.650866 0.759193i \(-0.725594\pi\)
−0.0105923 + 0.999944i \(0.503372\pi\)
\(192\) 3565.03 + 1849.59i 1.34002 + 0.695220i
\(193\) −2195.07 + 1841.88i −0.818676 + 0.686951i −0.952662 0.304033i \(-0.901667\pi\)
0.133986 + 0.990983i \(0.457222\pi\)
\(194\) −1201.09 6811.75i −0.444503 2.52090i
\(195\) −154.059 370.484i −0.0565765 0.136056i
\(196\) 87.5596 + 73.4713i 0.0319095 + 0.0267752i
\(197\) 1222.80 2117.95i 0.442238 0.765979i −0.555617 0.831438i \(-0.687518\pi\)
0.997855 + 0.0654594i \(0.0208513\pi\)
\(198\) −973.344 257.927i −0.349356 0.0925762i
\(199\) 2324.83 + 4026.73i 0.828155 + 1.43441i 0.899484 + 0.436954i \(0.143943\pi\)
−0.0713284 + 0.997453i \(0.522724\pi\)
\(200\) 428.448 2429.85i 0.151479 0.859081i
\(201\) −2423.27 + 540.739i −0.850370 + 0.189755i
\(202\) −1319.52 480.267i −0.459610 0.167284i
\(203\) 3555.72 + 1294.18i 1.22937 + 0.447455i
\(204\) −6372.19 + 1421.92i −2.18697 + 0.488010i
\(205\) −308.474 + 1749.44i −0.105096 + 0.596030i
\(206\) −1376.30 2383.83i −0.465494 0.806258i
\(207\) 138.578 + 511.523i 0.0465305 + 0.171755i
\(208\) 75.7980 131.286i 0.0252675 0.0437647i
\(209\) 123.088 + 103.283i 0.0407376 + 0.0341829i
\(210\) −3007.27 7231.93i −0.988198 2.37643i
\(211\) −743.489 4216.54i −0.242578 1.37573i −0.826051 0.563595i \(-0.809418\pi\)
0.583474 0.812132i \(-0.301693\pi\)
\(212\) −1024.73 + 859.848i −0.331974 + 0.278559i
\(213\) 2788.84 + 1446.89i 0.897129 + 0.465442i
\(214\) −3831.01 + 1394.37i −1.22375 + 0.445408i
\(215\) 3919.11 1.24317
\(216\) 1453.98 + 595.211i 0.458012 + 0.187495i
\(217\) −634.236 −0.198409
\(218\) 2627.91 956.481i 0.816443 0.297161i
\(219\) −235.927 5237.60i −0.0727966 1.61609i
\(220\) −1304.56 + 1094.66i −0.399789 + 0.335463i
\(221\) 85.5578 + 485.222i 0.0260418 + 0.147690i
\(222\) 1155.48 + 150.499i 0.349328 + 0.0454991i
\(223\) 2053.36 + 1722.97i 0.616605 + 0.517393i 0.896734 0.442569i \(-0.145933\pi\)
−0.280129 + 0.959962i \(0.590377\pi\)
\(224\) 2322.13 4022.04i 0.692650 1.19970i
\(225\) −502.108 + 5927.66i −0.148773 + 1.75634i
\(226\) −1473.84 2552.77i −0.433799 0.751362i
\(227\) −819.918 + 4649.99i −0.239735 + 1.35961i 0.592673 + 0.805443i \(0.298073\pi\)
−0.832408 + 0.554163i \(0.813039\pi\)
\(228\) −692.203 753.316i −0.201063 0.218814i
\(229\) 3029.61 + 1102.69i 0.874245 + 0.318199i 0.739885 0.672733i \(-0.234880\pi\)
0.134360 + 0.990933i \(0.457102\pi\)
\(230\) 1478.09 + 537.982i 0.423751 + 0.154233i
\(231\) −253.051 + 806.456i −0.0720758 + 0.229701i
\(232\) −391.199 + 2218.60i −0.110705 + 0.627836i
\(233\) 743.053 + 1287.01i 0.208923 + 0.361865i 0.951376 0.308033i \(-0.0996709\pi\)
−0.742453 + 0.669899i \(0.766338\pi\)
\(234\) 203.261 439.057i 0.0567845 0.122658i
\(235\) 3358.16 5816.50i 0.932179 1.61458i
\(236\) 5793.16 + 4861.04i 1.59789 + 1.34079i
\(237\) −3103.05 + 4055.56i −0.850485 + 1.11155i
\(238\) 1670.11 + 9471.65i 0.454861 + 2.57965i
\(239\) −4424.51 + 3712.61i −1.19748 + 1.00481i −0.197783 + 0.980246i \(0.563374\pi\)
−0.999698 + 0.0245602i \(0.992181\pi\)
\(240\) −2968.44 + 1896.87i −0.798383 + 0.510178i
\(241\) 4909.76 1787.01i 1.31231 0.477640i 0.411320 0.911491i \(-0.365068\pi\)
0.900985 + 0.433851i \(0.142845\pi\)
\(242\) −5417.28 −1.43899
\(243\) −3620.46 1114.10i −0.955771 0.294112i
\(244\) 2073.54 0.544037
\(245\) −188.355 + 68.5558i −0.0491167 + 0.0178770i
\(246\) −1805.00 + 1153.42i −0.467817 + 0.298941i
\(247\) −59.1424 + 49.6264i −0.0152354 + 0.0127840i
\(248\) −65.5702 371.867i −0.0167892 0.0952160i
\(249\) −1288.76 + 1684.36i −0.328001 + 0.428683i
\(250\) 5852.15 + 4910.54i 1.48049 + 1.24228i
\(251\) 835.284 1446.76i 0.210051 0.363818i −0.741680 0.670754i \(-0.765970\pi\)
0.951730 + 0.306936i \(0.0993038\pi\)
\(252\) 2260.87 4883.62i 0.565163 1.22079i
\(253\) −84.8732 147.005i −0.0210907 0.0365301i
\(254\) 654.412 3711.36i 0.161659 0.916816i
\(255\) 3427.82 10924.2i 0.841797 2.68275i
\(256\) −307.967 112.091i −0.0751872 0.0273659i
\(257\) −6210.77 2260.54i −1.50746 0.548671i −0.549481 0.835506i \(-0.685174\pi\)
−0.957980 + 0.286835i \(0.907397\pi\)
\(258\) 3197.49 + 3479.78i 0.771577 + 0.839697i
\(259\) 169.846 963.245i 0.0407480 0.231093i
\(260\) −409.134 708.641i −0.0975901 0.169031i
\(261\) 458.454 5412.31i 0.108726 1.28358i
\(262\) 349.879 606.008i 0.0825023 0.142898i
\(263\) 4702.52 + 3945.89i 1.10255 + 0.925147i 0.997594 0.0693299i \(-0.0220861\pi\)
0.104954 + 0.994477i \(0.466531\pi\)
\(264\) −499.005 64.9942i −0.116332 0.0151520i
\(265\) −407.349 2310.19i −0.0944274 0.535524i
\(266\) −1154.47 + 968.718i −0.266110 + 0.223293i
\(267\) −167.996 3729.53i −0.0385063 0.854845i
\(268\) −4758.08 + 1731.80i −1.08450 + 0.394726i
\(269\) −2284.07 −0.517704 −0.258852 0.965917i \(-0.583344\pi\)
−0.258852 + 0.965917i \(0.583344\pi\)
\(270\) −8891.22 + 6881.19i −2.00408 + 1.55102i
\(271\) −7939.83 −1.77974 −0.889872 0.456211i \(-0.849206\pi\)
−0.889872 + 0.456211i \(0.849206\pi\)
\(272\) 4064.93 1479.51i 0.906150 0.329811i
\(273\) −360.494 187.029i −0.0799197 0.0414634i
\(274\) 3486.37 2925.42i 0.768685 0.645003i
\(275\) −330.874 1876.48i −0.0725543 0.411476i
\(276\) 414.975 + 997.937i 0.0905020 + 0.217640i
\(277\) −3696.13 3101.42i −0.801729 0.672730i 0.146890 0.989153i \(-0.453074\pi\)
−0.948618 + 0.316423i \(0.897518\pi\)
\(278\) 2086.59 3614.08i 0.450163 0.779706i
\(279\) 238.064 + 878.749i 0.0510842 + 0.188564i
\(280\) −1957.10 3389.80i −0.417711 0.723497i
\(281\) −751.619 + 4262.64i −0.159565 + 0.904940i 0.794927 + 0.606705i \(0.207509\pi\)
−0.954493 + 0.298235i \(0.903602\pi\)
\(282\) 7904.30 1763.80i 1.66913 0.372456i
\(283\) 1801.89 + 655.834i 0.378485 + 0.137757i 0.524255 0.851561i \(-0.324344\pi\)
−0.145770 + 0.989318i \(0.546566\pi\)
\(284\) 6020.90 + 2191.43i 1.25801 + 0.457878i
\(285\) 1751.00 390.726i 0.363932 0.0812092i
\(286\) −26.9100 + 152.614i −0.00556372 + 0.0315534i
\(287\) 899.025 + 1557.16i 0.184905 + 0.320265i
\(288\) −6444.25 1707.67i −1.31851 0.349393i
\(289\) −4573.23 + 7921.07i −0.930843 + 1.61227i
\(290\) −12349.8 10362.7i −2.50071 2.09835i
\(291\) 3200.04 + 7695.49i 0.644637 + 1.55023i
\(292\) −1856.67 10529.7i −0.372101 2.11029i
\(293\) 5089.74 4270.80i 1.01483 0.851545i 0.0258630 0.999665i \(-0.491767\pi\)
0.988969 + 0.148120i \(0.0473222\pi\)
\(294\) −214.544 111.308i −0.0425595 0.0220804i
\(295\) −12462.1 + 4535.82i −2.45956 + 0.895205i
\(296\) 582.332 0.114349
\(297\) 1212.35 + 47.9001i 0.236860 + 0.00935841i
\(298\) 10277.5 1.99785
\(299\) 76.6428 27.8957i 0.0148240 0.00539548i
\(300\) 545.925 + 12119.6i 0.105063 + 2.33242i
\(301\) 3038.75 2549.82i 0.581896 0.488269i
\(302\) 513.233 + 2910.69i 0.0977923 + 0.554608i
\(303\) 1677.80 + 218.530i 0.318110 + 0.0414330i
\(304\) 519.251 + 435.703i 0.0979641 + 0.0822017i
\(305\) −1818.13 + 3149.10i −0.341331 + 0.591203i
\(306\) 12496.3 5869.20i 2.33453 1.09647i
\(307\) −2214.94 3836.39i −0.411770 0.713207i 0.583313 0.812247i \(-0.301756\pi\)
−0.995083 + 0.0990406i \(0.968423\pi\)
\(308\) −299.320 + 1697.53i −0.0553744 + 0.314044i
\(309\) 2244.11 + 2442.24i 0.413149 + 0.449625i
\(310\) 2539.23 + 924.204i 0.465221 + 0.169327i
\(311\) −271.365 98.7687i −0.0494781 0.0180085i 0.317163 0.948371i \(-0.397270\pi\)
−0.366641 + 0.930363i \(0.619492\pi\)
\(312\) 72.3898 230.702i 0.0131355 0.0418619i
\(313\) 1429.00 8104.29i 0.258058 1.46352i −0.530042 0.847971i \(-0.677824\pi\)
0.788100 0.615547i \(-0.211065\pi\)
\(314\) 1572.15 + 2723.04i 0.282552 + 0.489395i
\(315\) 5434.39 + 7715.66i 0.972041 + 1.38009i
\(316\) −5207.00 + 9018.78i −0.926951 + 1.60553i
\(317\) −1473.87 1236.73i −0.261139 0.219121i 0.502812 0.864396i \(-0.332299\pi\)
−0.763951 + 0.645274i \(0.776743\pi\)
\(318\) 1718.88 2246.50i 0.303113 0.396156i
\(319\) 302.108 + 1713.34i 0.0530244 + 0.300716i
\(320\) −11003.0 + 9232.63i −1.92215 + 1.61287i
\(321\) 4139.39 2645.13i 0.719746 0.459928i
\(322\) 1496.08 544.530i 0.258924 0.0942406i
\(323\) −2203.05 −0.379508
\(324\) −7614.99 1299.39i −1.30573 0.222804i
\(325\) 915.539 0.156261
\(326\) −5111.81 + 1860.55i −0.868457 + 0.316093i
\(327\) −2839.45 + 1814.45i −0.480189 + 0.306848i
\(328\) −820.051 + 688.104i −0.138048 + 0.115836i
\(329\) −1180.47 6694.78i −0.197816 1.12187i
\(330\) 2188.28 2859.99i 0.365032 0.477082i
\(331\) 8211.40 + 6890.18i 1.36356 + 1.14417i 0.974864 + 0.222800i \(0.0715198\pi\)
0.388699 + 0.921365i \(0.372925\pi\)
\(332\) −2162.58 + 3745.69i −0.357491 + 0.619192i
\(333\) −1398.35 + 126.233i −0.230118 + 0.0207734i
\(334\) 932.833 + 1615.71i 0.152821 + 0.264695i
\(335\) 1541.91 8744.60i 0.251473 1.42618i
\(336\) −1067.51 + 3402.07i −0.173325 + 0.552376i
\(337\) −3237.54 1178.37i −0.523323 0.190474i 0.0668315 0.997764i \(-0.478711\pi\)
−0.590155 + 0.807290i \(0.700933\pi\)
\(338\) 8833.00 + 3214.95i 1.42145 + 0.517367i
\(339\) 2403.15 + 2615.32i 0.385018 + 0.419010i
\(340\) 4054.58 22994.7i 0.646736 3.66782i
\(341\) −145.804 252.541i −0.0231547 0.0401051i
\(342\) 1775.52 + 1235.94i 0.280728 + 0.195415i
\(343\) 3124.34 5411.51i 0.491832 0.851878i
\(344\) 1809.18 + 1518.08i 0.283559 + 0.237934i
\(345\) −1879.43 244.791i −0.293290 0.0382004i
\(346\) 1750.09 + 9925.26i 0.271923 + 1.54215i
\(347\) −5170.32 + 4338.41i −0.799876 + 0.671176i −0.948169 0.317768i \(-0.897067\pi\)
0.148292 + 0.988944i \(0.452622\pi\)
\(348\) −498.462 11065.9i −0.0767827 1.70458i
\(349\) 3974.48 1446.59i 0.609595 0.221875i −0.0187308 0.999825i \(-0.505963\pi\)
0.628326 + 0.777950i \(0.283740\pi\)
\(350\) 17871.5 2.72935
\(351\) −123.820 + 569.675i −0.0188291 + 0.0866296i
\(352\) 2135.33 0.323334
\(353\) −10910.5 + 3971.10i −1.64506 + 0.598754i −0.987913 0.155007i \(-0.950460\pi\)
−0.657149 + 0.753761i \(0.728238\pi\)
\(354\) −14194.8 7364.44i −2.13120 1.10569i
\(355\) −8607.41 + 7222.47i −1.28686 + 1.07980i
\(356\) −1322.08 7497.87i −0.196826 1.11625i
\(357\) −4449.61 10700.5i −0.659659 1.58636i
\(358\) −8184.89 6867.94i −1.20834 1.01392i
\(359\) −771.032 + 1335.47i −0.113352 + 0.196332i −0.917120 0.398611i \(-0.869492\pi\)
0.803768 + 0.594943i \(0.202826\pi\)
\(360\) −3962.03 + 3983.98i −0.580049 + 0.583262i
\(361\) 3256.90 + 5641.11i 0.474835 + 0.822439i
\(362\) −1543.39 + 8753.01i −0.224085 + 1.27085i
\(363\) 6370.78 1421.60i 0.921155 0.205550i
\(364\) −778.279 283.271i −0.112068 0.0407896i
\(365\) 17619.5 + 6412.97i 2.52670 + 0.919644i
\(366\) −4279.45 + 954.935i −0.611176 + 0.136380i
\(367\) 308.422 1749.15i 0.0438679 0.248787i −0.954986 0.296651i \(-0.904130\pi\)
0.998854 + 0.0478639i \(0.0152414\pi\)
\(368\) −358.042 620.147i −0.0507180 0.0878461i
\(369\) 1820.02 1830.11i 0.256766 0.258188i
\(370\) −2083.63 + 3608.95i −0.292764 + 0.507082i
\(371\) −1818.88 1526.22i −0.254533 0.213578i
\(372\) 712.889 + 1714.36i 0.0993590 + 0.238940i
\(373\) 1412.78 + 8012.30i 0.196116 + 1.11223i 0.910821 + 0.412802i \(0.135450\pi\)
−0.714705 + 0.699426i \(0.753439\pi\)
\(374\) −3387.49 + 2842.44i −0.468350 + 0.392992i
\(375\) −8170.81 4239.12i −1.12517 0.583753i
\(376\) 3803.26 1384.27i 0.521644 0.189863i
\(377\) −835.942 −0.114199
\(378\) −2416.99 + 11120.2i −0.328879 + 1.51312i
\(379\) −4178.93 −0.566378 −0.283189 0.959064i \(-0.591392\pi\)
−0.283189 + 0.959064i \(0.591392\pi\)
\(380\) 3438.09 1251.36i 0.464132 0.168930i
\(381\) 204.338 + 4536.32i 0.0274765 + 0.609981i
\(382\) 6138.18 5150.54i 0.822137 0.689855i
\(383\) 1524.55 + 8646.16i 0.203397 + 1.15352i 0.899943 + 0.436008i \(0.143608\pi\)
−0.696546 + 0.717512i \(0.745281\pi\)
\(384\) −6996.65 911.298i −0.929809 0.121105i
\(385\) −2315.59 1943.01i −0.306528 0.257208i
\(386\) 6178.50 10701.5i 0.814708 1.41112i
\(387\) −4673.44 3253.18i −0.613861 0.427308i
\(388\) 8498.30 + 14719.5i 1.11195 + 1.92595i
\(389\) 2040.01 11569.5i 0.265894 1.50796i −0.500583 0.865689i \(-0.666881\pi\)
0.766477 0.642272i \(-0.222008\pi\)
\(390\) 1170.74 + 1274.10i 0.152007 + 0.165427i
\(391\) 2187.01 + 796.007i 0.282869 + 0.102956i
\(392\) −113.506 41.3127i −0.0146247 0.00532297i
\(393\) −252.433 + 804.487i −0.0324009 + 0.103260i
\(394\) −1831.36 + 10386.2i −0.234170 + 1.32804i
\(395\) −9131.24 15815.8i −1.16315 2.01463i
\(396\) 2464.31 222.460i 0.312718 0.0282299i
\(397\) 2236.45 3873.65i 0.282731 0.489705i −0.689325 0.724452i \(-0.742093\pi\)
0.972056 + 0.234747i \(0.0754263\pi\)
\(398\) −15360.1 12888.7i −1.93450 1.62324i
\(399\) 1103.46 1442.18i 0.138452 0.180951i
\(400\) −1395.81 7916.02i −0.174476 0.989502i
\(401\) 4618.55 3875.42i 0.575160 0.482617i −0.308194 0.951324i \(-0.599724\pi\)
0.883354 + 0.468707i \(0.155280\pi\)
\(402\) 9022.34 5765.40i 1.11939 0.715304i
\(403\) 131.665 47.9222i 0.0162747 0.00592351i
\(404\) 3450.53 0.424927
\(405\) 8650.40 10425.6i 1.06134 1.27914i
\(406\) −16317.8 −1.99467
\(407\) 422.592 153.811i 0.0514670 0.0187325i
\(408\) 5813.91 3715.17i 0.705469 0.450805i
\(409\) 2066.49 1733.99i 0.249832 0.209634i −0.509268 0.860608i \(-0.670084\pi\)
0.759100 + 0.650974i \(0.225639\pi\)
\(410\) −1330.26 7544.29i −0.160236 0.908746i
\(411\) −3332.32 + 4355.21i −0.399930 + 0.522693i
\(412\) 5181.48 + 4347.78i 0.619595 + 0.519902i
\(413\) −6711.63 + 11624.9i −0.799655 + 1.38504i
\(414\) −1316.02 1868.47i −0.156229 0.221812i
\(415\) −3792.40 6568.63i −0.448582 0.776967i
\(416\) −178.164 + 1010.42i −0.0209981 + 0.119086i
\(417\) −1505.45 + 4797.76i −0.176791 + 0.563423i
\(418\) −651.126 236.991i −0.0761905 0.0277311i
\(419\) −10108.6 3679.24i −1.17861 0.428980i −0.322901 0.946433i \(-0.604658\pi\)
−0.855712 + 0.517453i \(0.826880\pi\)
\(420\) 13022.1 + 14171.8i 1.51289 + 1.64646i
\(421\) −1137.14 + 6449.04i −0.131641 + 0.746572i 0.845499 + 0.533976i \(0.179303\pi\)
−0.977140 + 0.212596i \(0.931808\pi\)
\(422\) 9231.95 + 15990.2i 1.06494 + 1.84453i
\(423\) −8832.68 + 4148.49i −1.01527 + 0.476847i
\(424\) 706.815 1224.24i 0.0809575 0.140222i
\(425\) 20012.9 + 16792.8i 2.28416 + 1.91664i
\(426\) −13435.4 1749.93i −1.52804 0.199024i
\(427\) 639.116 + 3624.61i 0.0724333 + 0.410790i
\(428\) 7674.26 6439.47i 0.866705 0.727251i
\(429\) −8.40256 186.538i −0.000945640 0.0209933i
\(430\) −15881.5 + 5780.41i −1.78111 + 0.648270i
\(431\) 7463.95 0.834167 0.417083 0.908868i \(-0.363052\pi\)
0.417083 + 0.908868i \(0.363052\pi\)
\(432\) 5114.34 + 202.069i 0.569593 + 0.0225047i
\(433\) 3620.50 0.401825 0.200913 0.979609i \(-0.435609\pi\)
0.200913 + 0.979609i \(0.435609\pi\)
\(434\) 2570.13 935.452i 0.284264 0.103463i
\(435\) 17242.9 + 8945.84i 1.90054 + 0.986024i
\(436\) −5264.22 + 4417.21i −0.578235 + 0.485197i
\(437\) 63.3273 + 359.147i 0.00693217 + 0.0393143i
\(438\) 8681.13 + 20876.5i 0.947033 + 2.27744i
\(439\) 5772.16 + 4843.42i 0.627541 + 0.526569i 0.900164 0.435552i \(-0.143447\pi\)
−0.272623 + 0.962121i \(0.587891\pi\)
\(440\) 899.834 1558.56i 0.0974953 0.168867i
\(441\) 281.516 + 74.5991i 0.0303980 + 0.00805519i
\(442\) −1062.38 1840.09i −0.114326 0.198018i
\(443\) 2642.33 14985.4i 0.283388 1.60717i −0.427600 0.903968i \(-0.640641\pi\)
0.710988 0.703204i \(-0.248248\pi\)
\(444\) −2794.60 + 623.598i −0.298707 + 0.0666546i
\(445\) 12546.3 + 4566.47i 1.33652 + 0.486453i
\(446\) −10862.1 3953.49i −1.15322 0.419739i
\(447\) −12086.4 + 2697.02i −1.27890 + 0.285379i
\(448\) −2524.54 + 14317.4i −0.266235 + 1.50989i
\(449\) −1493.20 2586.29i −0.156945 0.271837i 0.776821 0.629722i \(-0.216831\pi\)
−0.933766 + 0.357885i \(0.883498\pi\)
\(450\) −6708.17 24761.4i −0.702724 2.59392i
\(451\) −413.353 + 715.948i −0.0431575 + 0.0747510i
\(452\) 5548.69 + 4655.90i 0.577408 + 0.484503i
\(453\) −1367.39 3288.32i −0.141823 0.341057i
\(454\) −3535.82 20052.6i −0.365515 2.07294i
\(455\) 1112.62 933.597i 0.114638 0.0961928i
\(456\) 959.663 + 497.885i 0.0985534 + 0.0511307i
\(457\) 5296.21 1927.66i 0.542114 0.197313i −0.0564251 0.998407i \(-0.517970\pi\)
0.598539 + 0.801093i \(0.295748\pi\)
\(458\) −13903.4 −1.41847
\(459\) −13155.6 + 10181.5i −1.33780 + 1.03536i
\(460\) −3865.20 −0.391773
\(461\) 13836.2 5035.96i 1.39787 0.508781i 0.470321 0.882495i \(-0.344138\pi\)
0.927544 + 0.373714i \(0.121916\pi\)
\(462\) −164.020 3641.26i −0.0165171 0.366681i
\(463\) 8087.59 6786.29i 0.811797 0.681179i −0.139239 0.990259i \(-0.544466\pi\)
0.951036 + 0.309080i \(0.100021\pi\)
\(464\) 1274.46 + 7227.80i 0.127511 + 0.723151i
\(465\) −3228.69 420.529i −0.321993 0.0419389i
\(466\) −4909.34 4119.42i −0.488027 0.409504i
\(467\) −1482.16 + 2567.18i −0.146865 + 0.254378i −0.930067 0.367389i \(-0.880252\pi\)
0.783202 + 0.621767i \(0.213585\pi\)
\(468\) −100.347 + 1184.65i −0.00991140 + 0.117010i
\(469\) −4493.79 7783.47i −0.442439 0.766327i
\(470\) −5029.45 + 28523.4i −0.493598 + 2.79933i
\(471\) −2563.44 2789.76i −0.250779 0.272920i
\(472\) −7509.81 2733.35i −0.732345 0.266552i
\(473\) 1713.87 + 623.796i 0.166604 + 0.0606389i
\(474\) 6592.93 21011.3i 0.638868 2.03603i
\(475\) −710.858 + 4031.48i −0.0686661 + 0.389425i
\(476\) −11816.8 20467.3i −1.13786 1.97083i
\(477\) −1431.89 + 3092.98i −0.137446 + 0.296893i
\(478\) 12453.8 21570.6i 1.19168 2.06405i
\(479\) 5115.19 + 4292.15i 0.487931 + 0.409423i 0.853284 0.521446i \(-0.174607\pi\)
−0.365353 + 0.930869i \(0.619052\pi\)
\(480\) 14488.0 18935.2i 1.37767 1.80056i
\(481\) 37.5223 + 212.800i 0.00355691 + 0.0201722i
\(482\) −17260.3 + 14483.1i −1.63109 + 1.36864i
\(483\) −1616.51 + 1032.97i −0.152286 + 0.0973126i
\(484\) 12509.0 4552.90i 1.17477 0.427583i
\(485\) −29806.1 −2.79056
\(486\) 16314.5 825.223i 1.52272 0.0770223i
\(487\) 5511.52 0.512836 0.256418 0.966566i \(-0.417458\pi\)
0.256418 + 0.966566i \(0.417458\pi\)
\(488\) −2059.12 + 749.457i −0.191008 + 0.0695211i
\(489\) 5523.30 3529.46i 0.510781 0.326396i
\(490\) 662.164 555.621i 0.0610480 0.0512253i
\(491\) −763.917 4332.39i −0.0702140 0.398203i −0.999578 0.0290394i \(-0.990755\pi\)
0.929364 0.369164i \(-0.120356\pi\)
\(492\) 3198.54 4180.36i 0.293092 0.383059i
\(493\) −18273.0 15332.9i −1.66932 1.40073i
\(494\) 166.469 288.333i 0.0151616 0.0262606i
\(495\) −1822.92 + 3937.62i −0.165523 + 0.357541i
\(496\) −615.083 1065.35i −0.0556815 0.0964432i
\(497\) −1974.89 + 11200.1i −0.178241 + 1.01086i
\(498\) 2738.19 8726.43i 0.246388 0.785222i
\(499\) 3700.57 + 1346.90i 0.331984 + 0.120832i 0.502634 0.864499i \(-0.332364\pi\)
−0.170650 + 0.985332i \(0.554587\pi\)
\(500\) −17640.2 6420.50i −1.57779 0.574267i
\(501\) −1521.02 1655.30i −0.135637 0.147612i
\(502\) −1250.99 + 7094.71i −0.111224 + 0.630782i
\(503\) 10183.9 + 17639.0i 0.902736 + 1.56359i 0.823927 + 0.566696i \(0.191778\pi\)
0.0788092 + 0.996890i \(0.474888\pi\)
\(504\) −480.011 + 5666.80i −0.0424234 + 0.500832i
\(505\) −3025.51 + 5240.33i −0.266601 + 0.461766i
\(506\) 560.756 + 470.530i 0.0492661 + 0.0413391i
\(507\) −11231.4 1462.86i −0.983831 0.128142i
\(508\) 1608.08 + 9119.85i 0.140447 + 0.796512i
\(509\) 5655.88 4745.85i 0.492520 0.413273i −0.362409 0.932019i \(-0.618046\pi\)
0.854928 + 0.518746i \(0.173601\pi\)
\(510\) 2221.81 + 49324.4i 0.192909 + 4.28259i
\(511\) 17833.9 6491.02i 1.54389 0.561929i
\(512\) 12276.3 1.05965
\(513\) −2412.36 987.542i −0.207619 0.0849923i
\(514\) 28502.2 2.44587
\(515\) −11146.2 + 4056.90i −0.953712 + 0.347123i
\(516\) −10307.8 5347.84i −0.879414 0.456251i
\(517\) 2394.35 2009.10i 0.203682 0.170910i
\(518\) 732.444 + 4153.90i 0.0621270 + 0.352339i
\(519\) −4662.71 11212.9i −0.394355 0.948350i
\(520\) 662.417 + 555.833i 0.0558632 + 0.0468748i
\(521\) 9730.89 16854.4i 0.818269 1.41728i −0.0886883 0.996059i \(-0.528268\pi\)
0.906957 0.421223i \(-0.138399\pi\)
\(522\) 6124.96 + 22608.7i 0.513567 + 1.89570i
\(523\) −10339.1 17907.9i −0.864433 1.49724i −0.867609 0.497248i \(-0.834344\pi\)
0.00317538 0.999995i \(-0.498989\pi\)
\(524\) −298.589 + 1693.38i −0.0248930 + 0.141175i
\(525\) −21017.1 + 4689.84i −1.74716 + 0.389869i
\(526\) −24876.1 9054.15i −2.06207 0.750532i
\(527\) 3757.08 + 1367.47i 0.310552 + 0.113032i
\(528\) −1600.05 + 357.041i −0.131881 + 0.0294285i
\(529\) −2045.88 + 11602.7i −0.168150 + 0.953624i
\(530\) 5058.08 + 8760.85i 0.414545 + 0.718013i
\(531\) 18625.8 + 4935.66i 1.52220 + 0.403370i
\(532\) 1851.63 3207.13i 0.150900 0.261366i
\(533\) −304.291 255.331i −0.0247286 0.0207497i
\(534\) 6181.56 + 14865.5i 0.500941 + 1.20467i
\(535\) 3050.67 + 17301.2i 0.246527 + 1.39812i
\(536\) 4099.04 3439.50i 0.330320 0.277171i
\(537\) 11427.8 + 5928.89i 0.918335 + 0.476444i
\(538\) 9255.82 3368.84i 0.741722 0.269965i
\(539\) −93.2816 −0.00745440
\(540\) 14747.4 23361.8i 1.17524 1.86173i
\(541\) −20561.4 −1.63402 −0.817008 0.576626i \(-0.804369\pi\)
−0.817008 + 0.576626i \(0.804369\pi\)
\(542\) 32174.8 11710.7i 2.54986 0.928075i
\(543\) −481.918 10698.6i −0.0380867 0.845530i
\(544\) −22427.6 + 18819.0i −1.76760 + 1.48320i
\(545\) −2092.63 11867.9i −0.164474 0.932780i
\(546\) 1736.69 + 226.200i 0.136124 + 0.0177298i
\(547\) 14286.4 + 11987.7i 1.11671 + 0.937034i 0.998434 0.0559468i \(-0.0178177\pi\)
0.118279 + 0.992980i \(0.462262\pi\)
\(548\) −5591.72 + 9685.14i −0.435888 + 0.754980i
\(549\) 4782.08 2246.03i 0.371757 0.174605i
\(550\) 4108.48 + 7116.10i 0.318520 + 0.551693i
\(551\) 649.056 3680.98i 0.0501828 0.284601i
\(552\) −772.779 841.005i −0.0595863 0.0648470i
\(553\) −17370.0 6322.16i −1.33571 0.486158i
\(554\) 19552.3 + 7116.46i 1.49945 + 0.545757i
\(555\) 1503.31 4790.95i 0.114976 0.366423i
\(556\) −1780.71 + 10098.9i −0.135825 + 0.770304i
\(557\) 403.084 + 698.161i 0.0306628 + 0.0531096i 0.880950 0.473210i \(-0.156905\pi\)
−0.850287 + 0.526320i \(0.823572\pi\)
\(558\) −2260.80 3209.85i −0.171519 0.243520i
\(559\) −438.173 + 758.938i −0.0331534 + 0.0574234i
\(560\) −9768.42 8196.68i −0.737127 0.618523i
\(561\) 3237.80 4231.68i 0.243672 0.318470i
\(562\) −3241.28 18382.2i −0.243283 1.37973i
\(563\) 402.775 337.968i 0.0301509 0.0252996i −0.627588 0.778546i \(-0.715958\pi\)
0.657739 + 0.753246i \(0.271513\pi\)
\(564\) −16769.4 + 10715.9i −1.25198 + 0.800034i
\(565\) −11936.2 + 4344.41i −0.888775 + 0.323488i
\(566\) −8269.15 −0.614096
\(567\) −75.7539 13711.7i −0.00561087 1.01559i
\(568\) −6771.07 −0.500190
\(569\) −17133.2 + 6235.96i −1.26232 + 0.459447i −0.884547 0.466452i \(-0.845532\pi\)
−0.377773 + 0.925898i \(0.623310\pi\)
\(570\) −6519.35 + 4165.96i −0.479062 + 0.306127i
\(571\) 1734.29 1455.24i 0.127106 0.106655i −0.577018 0.816731i \(-0.695784\pi\)
0.704125 + 0.710076i \(0.251340\pi\)
\(572\) −66.1256 375.017i −0.00483365 0.0274130i
\(573\) −5866.95 + 7667.87i −0.427741 + 0.559040i
\(574\) −5939.84 4984.11i −0.431923 0.362427i
\(575\) 2162.33 3745.27i 0.156827 0.271632i
\(576\) 20784.6 1876.29i 1.50352 0.135727i
\(577\) 5277.88 + 9141.56i 0.380799 + 0.659564i 0.991177 0.132547i \(-0.0423156\pi\)
−0.610377 + 0.792111i \(0.708982\pi\)
\(578\) 6849.24 38844.0i 0.492891 2.79532i
\(579\) −4457.70 + 14206.4i −0.319958 + 1.01969i
\(580\) 37226.2 + 13549.2i 2.66505 + 0.970001i
\(581\) −7214.13 2625.73i −0.515133 0.187493i
\(582\) −24317.9 26464.8i −1.73197 1.88488i
\(583\) 189.570 1075.11i 0.0134669 0.0763746i
\(584\) 5649.58 + 9785.36i 0.400311 + 0.693358i
\(585\) −1711.15 1191.13i −0.120935 0.0841830i
\(586\) −14326.2 + 24813.7i −1.00991 + 1.74922i
\(587\) −17389.9 14591.8i −1.22275 1.02601i −0.998676 0.0514410i \(-0.983619\pi\)
−0.224078 0.974571i \(-0.571937\pi\)
\(588\) 588.951 + 76.7094i 0.0413060 + 0.00538001i
\(589\) 108.791 + 616.982i 0.00761059 + 0.0431618i
\(590\) 43810.4 36761.3i 3.05702 2.56515i
\(591\) −571.837 12694.8i −0.0398007 0.883580i
\(592\) 1782.72 648.858i 0.123766 0.0450471i
\(593\) −889.769 −0.0616162 −0.0308081 0.999525i \(-0.509808\pi\)
−0.0308081 + 0.999525i \(0.509808\pi\)
\(594\) −4983.48 + 1594.02i −0.344233 + 0.110107i
\(595\) 41445.0 2.85559
\(596\) −23731.7 + 8637.62i −1.63102 + 0.593642i
\(597\) 21445.9 + 11126.4i 1.47022 + 0.762769i
\(598\) −269.438 + 226.085i −0.0184250 + 0.0154604i
\(599\) −410.561 2328.41i −0.0280051 0.158825i 0.967598 0.252495i \(-0.0812512\pi\)
−0.995603 + 0.0936702i \(0.970140\pi\)
\(600\) −4922.60 11837.9i −0.334941 0.805470i
\(601\) −7915.70 6642.06i −0.537251 0.450807i 0.333345 0.942805i \(-0.391823\pi\)
−0.870597 + 0.491997i \(0.836267\pi\)
\(602\) −8553.24 + 14814.6i −0.579076 + 1.00299i
\(603\) −9097.41 + 9147.81i −0.614387 + 0.617790i
\(604\) −3631.37 6289.71i −0.244633 0.423716i
\(605\) −4053.68 + 22989.6i −0.272406 + 1.54489i
\(606\) −7121.32 + 1589.08i −0.477366 + 0.106521i
\(607\) −27252.7 9919.16i −1.82233 0.663273i −0.994800 0.101845i \(-0.967525\pi\)
−0.827526 0.561427i \(-0.810252\pi\)
\(608\) −4310.93 1569.05i −0.287552 0.104660i
\(609\) 19189.9 4282.11i 1.27687 0.284926i
\(610\) 2722.98 15442.8i 0.180738 1.02502i
\(611\) 750.912 + 1300.62i 0.0497196 + 0.0861168i
\(612\) −23922.4 + 24054.9i −1.58007 + 1.58883i
\(613\) −11967.0 + 20727.4i −0.788487 + 1.36570i 0.138407 + 0.990375i \(0.455802\pi\)
−0.926894 + 0.375324i \(0.877532\pi\)
\(614\) 14634.1 + 12279.4i 0.961862 + 0.807098i
\(615\) 3544.17 + 8523.07i 0.232382 + 0.558835i
\(616\) −316.313 1793.90i −0.0206893 0.117335i
\(617\) 9692.75 8133.18i 0.632440 0.530680i −0.269246 0.963071i \(-0.586775\pi\)
0.901686 + 0.432391i \(0.142330\pi\)
\(618\) −12696.0 6586.85i −0.826389 0.428741i
\(619\) 14490.1 5273.98i 0.940886 0.342454i 0.174370 0.984680i \(-0.444211\pi\)
0.766515 + 0.642226i \(0.221989\pi\)
\(620\) −6640.05 −0.430114
\(621\) 2037.98 + 1851.99i 0.131693 + 0.119674i
\(622\) 1245.34 0.0802788
\(623\) 12699.0 4622.05i 0.816651 0.297237i
\(624\) −35.4466 786.918i −0.00227404 0.0504839i
\(625\) 4120.41 3457.44i 0.263706 0.221276i
\(626\) 6162.44 + 34948.9i 0.393451 + 2.23137i
\(627\) 827.922 + 107.835i 0.0527337 + 0.00686844i
\(628\) −5918.78 4966.45i −0.376091 0.315578i
\(629\) −3082.97 + 5339.86i −0.195431 + 0.338496i
\(630\) −33402.0 23251.1i −2.11233 1.47039i
\(631\) 5252.56 + 9097.70i 0.331380 + 0.573968i 0.982783 0.184765i \(-0.0591523\pi\)
−0.651402 + 0.758733i \(0.725819\pi\)
\(632\) 1911.04 10838.0i 0.120280 0.682142i
\(633\) −15053.0 16382.0i −0.945187 1.02863i
\(634\) 7796.70 + 2837.77i 0.488402 + 0.177764i
\(635\) −15260.4 5554.32i −0.953683 0.347112i
\(636\) −2080.99 + 6632.00i −0.129743 + 0.413484i
\(637\) 7.78307 44.1400i 0.000484107 0.00274551i
\(638\) −3751.29 6497.42i −0.232782 0.403190i
\(639\) 16259.3 1467.78i 1.00659 0.0908675i
\(640\) 12616.8 21852.9i 0.779252 1.34970i
\(641\) 16181.2 + 13577.6i 0.997063 + 0.836635i 0.986575 0.163310i \(-0.0522170\pi\)
0.0104881 + 0.999945i \(0.496661\pi\)
\(642\) −12872.8 + 16824.2i −0.791354 + 1.03427i
\(643\) −1634.58 9270.15i −0.100251 0.568552i −0.993011 0.118020i \(-0.962345\pi\)
0.892760 0.450532i \(-0.148766\pi\)
\(644\) −2996.95 + 2514.74i −0.183379 + 0.153874i
\(645\) 17159.9 10965.4i 1.04755 0.669401i
\(646\) 8927.50 3249.34i 0.543727 0.197900i
\(647\) 26245.6 1.59478 0.797390 0.603465i \(-0.206214\pi\)
0.797390 + 0.603465i \(0.206214\pi\)
\(648\) 8031.65 1461.99i 0.486903 0.0886305i
\(649\) −6171.74 −0.373285
\(650\) −3710.07 + 1350.35i −0.223878 + 0.0814850i
\(651\) −2777.02 + 1774.56i −0.167189 + 0.106836i
\(652\) 10240.0 8592.35i 0.615073 0.516108i
\(653\) 2817.27 + 15977.5i 0.168833 + 0.957501i 0.945024 + 0.327002i \(0.106038\pi\)
−0.776190 + 0.630499i \(0.782850\pi\)
\(654\) 8830.21 11540.7i 0.527964 0.690027i
\(655\) −2309.93 1938.27i −0.137796 0.115625i
\(656\) −1743.75 + 3020.26i −0.103783 + 0.179758i
\(657\) −15687.5 22272.9i −0.931549 1.32260i
\(658\) 14658.0 + 25388.4i 0.868431 + 1.50417i
\(659\) 1834.62 10404.6i 0.108447 0.615033i −0.881340 0.472482i \(-0.843358\pi\)
0.989787 0.142552i \(-0.0455307\pi\)
\(660\) −2649.28 + 8443.08i −0.156247 + 0.497949i
\(661\) 16547.9 + 6022.94i 0.973734 + 0.354410i 0.779401 0.626525i \(-0.215524\pi\)
0.194333 + 0.980936i \(0.437746\pi\)
\(662\) −43437.8 15810.1i −2.55024 0.928211i
\(663\) 1732.24 + 1885.17i 0.101470 + 0.110429i
\(664\) 793.694 4501.27i 0.0463875 0.263077i
\(665\) 3247.11 + 5624.17i 0.189350 + 0.327964i
\(666\) 5480.40 2574.00i 0.318860 0.149761i
\(667\) −1974.34 + 3419.66i −0.114613 + 0.198515i
\(668\) −3511.91 2946.84i −0.203413 0.170684i
\(669\) 13811.5 + 1798.91i 0.798179 + 0.103961i
\(670\) 6649.33 + 37710.2i 0.383412 + 2.17444i
\(671\) −1296.32 + 1087.74i −0.0745812 + 0.0625811i
\(672\) −1085.93 24107.8i −0.0623374 1.38390i
\(673\) −16124.2 + 5868.71i −0.923537 + 0.336140i −0.759645 0.650338i \(-0.774627\pi\)
−0.163893 + 0.986478i \(0.552405\pi\)
\(674\) 14857.6 0.849099
\(675\) 14386.8 + 27359.3i 0.820365 + 1.56009i
\(676\) −23098.2 −1.31419
\(677\) 1514.58 551.263i 0.0859825 0.0312951i −0.298671 0.954356i \(-0.596543\pi\)
0.384653 + 0.923061i \(0.374321\pi\)
\(678\) −13595.8 7053.66i −0.770121 0.399549i
\(679\) −23110.7 + 19392.2i −1.30619 + 1.09603i
\(680\) 4284.77 + 24300.1i 0.241637 + 1.37039i
\(681\) 9420.35 + 22654.2i 0.530086 + 1.27476i
\(682\) 963.327 + 808.327i 0.0540875 + 0.0453848i
\(683\) −1386.14 + 2400.87i −0.0776564 + 0.134505i −0.902238 0.431238i \(-0.858077\pi\)
0.824582 + 0.565742i \(0.191410\pi\)
\(684\) −5138.57 1361.67i −0.287249 0.0761182i
\(685\) −9805.91 16984.3i −0.546955 0.947354i
\(686\) −4679.26 + 26537.4i −0.260430 + 1.47697i
\(687\) 16350.5 3648.51i 0.908020 0.202619i
\(688\) 7230.02 + 2631.51i 0.400643 + 0.145822i
\(689\) 492.913 + 179.406i 0.0272547 + 0.00991991i
\(690\) 7977.12 1780.05i 0.440122 0.0982106i
\(691\) 5111.21 28987.1i 0.281389 1.59584i −0.436518 0.899696i \(-0.643788\pi\)
0.717906 0.696140i \(-0.245101\pi\)
\(692\) −12382.7 21447.5i −0.680231 1.17820i
\(693\) 1148.43 + 4239.11i 0.0629511 + 0.232367i
\(694\) 14553.0 25206.5i 0.796000 1.37871i
\(695\) −13775.9 11559.3i −0.751868 0.630892i
\(696\) 4494.63 + 10808.7i 0.244782 + 0.588656i
\(697\) −1968.27 11162.6i −0.106964 0.606621i
\(698\) −13972.3 + 11724.1i −0.757677 + 0.635766i
\(699\) 6854.45 + 3556.18i 0.370900 + 0.192428i
\(700\) −41267.0 + 15020.0i −2.22821 + 0.811001i
\(701\) 14582.2 0.785683 0.392842 0.919606i \(-0.371492\pi\)
0.392842 + 0.919606i \(0.371492\pi\)
\(702\) −338.471 2491.14i −0.0181977 0.133934i
\(703\) −966.174 −0.0518349
\(704\) −6281.26 + 2286.19i −0.336270 + 0.122392i
\(705\) −1570.43 34863.6i −0.0838946 1.86247i
\(706\) 38355.8 32184.4i 2.04468 1.71569i
\(707\) 1063.54 + 6031.62i 0.0565748 + 0.320852i
\(708\) 38966.4 + 5075.29i 2.06843 + 0.269408i
\(709\) 14824.5 + 12439.3i 0.785257 + 0.658909i 0.944567 0.328320i \(-0.106482\pi\)
−0.159310 + 0.987229i \(0.550927\pi\)
\(710\) 24227.4 41963.1i 1.28062 2.21810i
\(711\) −2239.59 + 26439.6i −0.118131 + 1.39460i
\(712\) 4022.89 + 6967.85i 0.211747 + 0.366757i
\(713\) 114.929 651.797i 0.00603667 0.0342356i
\(714\) 33813.7 + 36799.0i 1.77233 + 1.92881i
\(715\) 627.520 + 228.399i 0.0328222 + 0.0119463i
\(716\) 24671.8 + 8979.78i 1.28775 + 0.468702i
\(717\) −8985.21 + 28635.3i −0.468004 + 1.49150i
\(718\) 1154.76 6548.96i 0.0600212 0.340397i
\(719\) −13091.8 22675.6i −0.679055 1.17616i −0.975266 0.221036i \(-0.929056\pi\)
0.296211 0.955123i \(-0.404277\pi\)
\(720\) −7690.06 + 16611.0i −0.398044 + 0.859801i
\(721\) −6002.97 + 10397.4i −0.310072 + 0.537061i
\(722\) −21518.2 18056.0i −1.10918 0.930710i
\(723\) 16497.6 21561.7i 0.848620 1.10911i
\(724\) −3792.55 21508.6i −0.194681 1.10409i
\(725\) −33954.5 + 28491.2i −1.73936 + 1.45950i
\(726\) −23719.7 + 15157.2i −1.21256 + 0.774845i
\(727\) −13582.4 + 4943.57i −0.692905 + 0.252197i −0.664378 0.747396i \(-0.731304\pi\)
−0.0285262 + 0.999593i \(0.509081\pi\)
\(728\) 875.248 0.0445589
\(729\) −18969.4 + 5251.71i −0.963748 + 0.266815i
\(730\) −80858.6 −4.09960
\(731\) −23498.6 + 8552.77i −1.18895 + 0.432744i
\(732\) 9079.08 5801.66i 0.458432 0.292944i
\(733\) 2568.85 2155.52i 0.129444 0.108617i −0.575767 0.817614i \(-0.695297\pi\)
0.705211 + 0.708997i \(0.250852\pi\)
\(734\) 1330.04 + 7543.03i 0.0668837 + 0.379316i
\(735\) −632.905 + 827.181i −0.0317620 + 0.0415116i
\(736\) 3712.61 + 3115.25i 0.185936 + 0.156019i
\(737\) 2066.15 3578.68i 0.103267 0.178863i
\(738\) −4676.06 + 10100.6i −0.233236 + 0.503805i
\(739\) 825.856 + 1430.42i 0.0411091 + 0.0712030i 0.885848 0.463976i \(-0.153578\pi\)
−0.844739 + 0.535179i \(0.820244\pi\)
\(740\) 1778.18 10084.6i 0.0883341 0.500968i
\(741\) −120.105 + 382.768i −0.00595435 + 0.0189761i
\(742\) 9621.78 + 3502.04i 0.476047 + 0.173267i
\(743\) 2354.06 + 856.806i 0.116234 + 0.0423057i 0.399482 0.916741i \(-0.369190\pi\)
−0.283248 + 0.959047i \(0.591412\pi\)
\(744\) −1327.56 1444.77i −0.0654178 0.0711933i
\(745\) 7690.51 43615.0i 0.378199 2.14487i
\(746\) −17542.6 30384.7i −0.860967 1.49124i
\(747\) −930.148 + 10980.9i −0.0455587 + 0.537846i
\(748\) 5433.11 9410.43i 0.265581 0.459999i
\(749\) 13621.8 + 11430.0i 0.664523 + 0.557601i
\(750\) 39363.2 + 5126.97i 1.91646 + 0.249614i
\(751\) −2974.59 16869.7i −0.144533 0.819688i −0.967741 0.251948i \(-0.918929\pi\)
0.823208 0.567740i \(-0.192182\pi\)
\(752\) 10100.7 8475.49i 0.489807 0.410997i
\(753\) −390.617 8671.74i −0.0189042 0.419676i
\(754\) 3387.51 1232.95i 0.163615 0.0595511i
\(755\) 12736.3 0.613934
\(756\) −3764.80 27708.8i −0.181117 1.33302i
\(757\) 6323.69 0.303617 0.151809 0.988410i \(-0.451490\pi\)
0.151809 + 0.988410i \(0.451490\pi\)
\(758\) 16934.4 6163.62i 0.811459 0.295347i
\(759\) −782.931 406.194i −0.0374421 0.0194255i
\(760\) −2961.88 + 2485.31i −0.141366 + 0.118621i
\(761\) 62.9395 + 356.948i