Properties

Label 69.7.f.a.10.12
Level $69$
Weight $7$
Character 69.10
Analytic conductor $15.874$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 69 = 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 69.f (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(15.8737317698\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 10.12
Character \(\chi\) \(=\) 69.10
Dual form 69.7.f.a.7.12

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0241383 + 0.0278571i) q^{2} +(13.1138 + 8.42776i) q^{3} +(9.10796 - 63.3472i) q^{4} +(-89.8556 - 41.0357i) q^{5} +(0.0817732 + 0.568745i) q^{6} +(-160.665 + 547.174i) q^{7} +(3.96908 - 2.55077i) q^{8} +(100.946 + 221.041i) q^{9} +O(q^{10})\) \(q+(0.0241383 + 0.0278571i) q^{2} +(13.1138 + 8.42776i) q^{3} +(9.10796 - 63.3472i) q^{4} +(-89.8556 - 41.0357i) q^{5} +(0.0817732 + 0.568745i) q^{6} +(-160.665 + 547.174i) q^{7} +(3.96908 - 2.55077i) q^{8} +(100.946 + 221.041i) q^{9} +(-1.02583 - 3.49365i) q^{10} +(1314.41 + 1138.94i) q^{11} +(653.315 - 753.966i) q^{12} +(1524.28 - 447.568i) q^{13} +(-19.1208 + 8.73219i) q^{14} +(-832.514 - 1295.42i) q^{15} +(-3929.83 - 1153.90i) q^{16} +(7185.39 - 1033.10i) q^{17} +(-3.72088 + 8.14759i) q^{18} +(10098.2 + 1451.91i) q^{19} +(-3417.90 + 5318.35i) q^{20} +(-6718.38 + 5821.51i) q^{21} +64.1078i q^{22} +(-8171.21 + 9014.84i) q^{23} +73.5472 q^{24} +(-3842.09 - 4434.01i) q^{25} +(49.2614 + 31.6584i) q^{26} +(-539.088 + 3749.44i) q^{27} +(33198.6 + 15161.3i) q^{28} +(4730.11 + 32898.6i) q^{29} +(15.9911 - 54.4605i) q^{30} +(34487.9 - 22164.0i) q^{31} +(-188.152 - 411.995i) q^{32} +(7638.25 + 26013.5i) q^{33} +(202.222 + 175.226i) q^{34} +(36890.3 - 42573.6i) q^{35} +(14921.7 - 4381.41i) q^{36} +(-18992.9 + 8673.77i) q^{37} +(203.308 + 316.354i) q^{38} +(23761.1 + 6976.90i) q^{39} +(-461.317 + 66.3273i) q^{40} +(-21125.9 + 46259.2i) q^{41} +(-324.340 - 46.6331i) q^{42} +(-66394.5 + 103312. i) q^{43} +(84120.6 - 72890.9i) q^{44} -24004.1i q^{45} +(-448.366 - 10.0231i) q^{46} -11413.5 q^{47} +(-41810.4 - 48251.8i) q^{48} +(-174613. - 112217. i) q^{49} +(30.7770 - 214.059i) q^{50} +(102935. + 47008.7i) q^{51} +(-14469.2 - 100635. i) q^{52} +(-37971.9 + 129320. i) q^{53} +(-117.461 + 75.4876i) q^{54} +(-71369.9 - 156278. i) q^{55} +(758.024 + 2581.59i) q^{56} +(120190. + 104146. i) q^{57} +(-802.283 + 925.884i) q^{58} +(-123696. + 36320.4i) q^{59} +(-89643.6 + 40938.9i) q^{60} +(-103388. - 160875. i) q^{61} +(1449.90 + 425.730i) q^{62} +(-137166. + 19721.5i) q^{63} +(-108885. + 238424. i) q^{64} +(-155331. - 22333.3i) q^{65} +(-540.285 + 840.700i) q^{66} +(326009. - 282489. i) q^{67} -464584. i q^{68} +(-183131. + 49354.3i) q^{69} +2076.44 q^{70} +(323134. + 372917. i) q^{71} +(964.486 + 619.838i) q^{72} +(70952.4 - 493485. i) q^{73} +(-700.082 - 319.717i) q^{74} +(-13015.8 - 90527.2i) q^{75} +(183949. - 626472. i) q^{76} +(-834380. + 536223. i) q^{77} +(379.197 + 830.326i) q^{78} +(-145534. - 495643. i) q^{79} +(305766. + 264948. i) q^{80} +(-38668.9 + 44626.3i) q^{81} +(-1798.59 + 528.113i) q^{82} +(793080. - 362188. i) q^{83} +(307586. + 478613. i) q^{84} +(-688042. - 202027. i) q^{85} +(-4480.61 + 644.215i) q^{86} +(-215232. + 471292. i) q^{87} +(8122.19 + 1167.79i) q^{88} +(-306505. + 476930. i) q^{89} +(668.684 - 579.418i) q^{90} +905953. i q^{91} +(496642. + 599730. i) q^{92} +639061. q^{93} +(-275.503 - 317.948i) q^{94} +(-847804. - 544850. i) q^{95} +(1004.80 - 6988.54i) q^{96} +(898080. + 410139. i) q^{97} +(-1088.82 - 7572.94i) q^{98} +(-119068. + 405510. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q + 20 q^{2} - 816 q^{4} + 324 q^{6} + 940 q^{8} - 5832 q^{9} + O(q^{10}) \) \( 240 q + 20 q^{2} - 816 q^{4} + 324 q^{6} + 940 q^{8} - 5832 q^{9} - 384 q^{13} + 33816 q^{16} + 22880 q^{17} + 4860 q^{18} - 31680 q^{19} - 157696 q^{20} + 36488 q^{23} + 39204 q^{24} + 200664 q^{25} + 99032 q^{26} - 202752 q^{28} - 181712 q^{29} - 128496 q^{31} + 439300 q^{32} - 400026 q^{34} + 368744 q^{35} + 42282 q^{36} + 446688 q^{37} + 550550 q^{38} - 52488 q^{39} - 156750 q^{40} - 606080 q^{41} - 1274130 q^{42} - 429000 q^{43} - 867482 q^{44} + 309288 q^{46} + 1111152 q^{47} + 837864 q^{48} + 722136 q^{49} + 1786926 q^{50} + 463320 q^{51} - 812550 q^{52} - 367840 q^{53} - 354294 q^{54} - 398088 q^{55} - 3696550 q^{56} - 1240272 q^{57} + 1903134 q^{58} + 545800 q^{59} + 2450250 q^{60} - 495264 q^{61} + 488776 q^{62} - 2699808 q^{64} - 290400 q^{67} + 23328 q^{69} - 392616 q^{70} + 255392 q^{71} + 228420 q^{72} + 1346880 q^{73} - 5387470 q^{74} + 365472 q^{75} + 2123022 q^{76} + 6134240 q^{77} + 171072 q^{78} + 4025472 q^{79} + 10626462 q^{80} - 1417176 q^{81} + 2025492 q^{82} - 2474560 q^{83} - 8866152 q^{85} - 15634300 q^{86} - 611712 q^{87} - 10636560 q^{88} - 5901720 q^{89} + 6566394 q^{92} - 2484432 q^{93} + 13931490 q^{94} + 8183072 q^{95} - 4682124 q^{96} + 12319560 q^{97} + 14139580 q^{98} + 2993760 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).

\(n\) \(28\) \(47\)
\(\chi(n)\) \(e\left(\frac{3}{22}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0241383 + 0.0278571i 0.00301729 + 0.00348213i 0.757256 0.653118i \(-0.226539\pi\)
−0.754239 + 0.656600i \(0.771994\pi\)
\(3\) 13.1138 + 8.42776i 0.485698 + 0.312139i
\(4\) 9.10796 63.3472i 0.142312 0.989800i
\(5\) −89.8556 41.0357i −0.718845 0.328286i 0.0221883 0.999754i \(-0.492937\pi\)
−0.741033 + 0.671468i \(0.765664\pi\)
\(6\) 0.0817732 + 0.568745i 0.000378579 + 0.00263308i
\(7\) −160.665 + 547.174i −0.468410 + 1.59526i 0.299100 + 0.954222i \(0.403314\pi\)
−0.767510 + 0.641037i \(0.778505\pi\)
\(8\) 3.96908 2.55077i 0.00775211 0.00498198i
\(9\) 100.946 + 221.041i 0.138472 + 0.303211i
\(10\) −1.02583 3.49365i −0.00102583 0.00349365i
\(11\) 1314.41 + 1138.94i 0.987537 + 0.855706i 0.989535 0.144292i \(-0.0460906\pi\)
−0.00199812 + 0.999998i \(0.500636\pi\)
\(12\) 653.315 753.966i 0.378076 0.436323i
\(13\) 1524.28 447.568i 0.693799 0.203718i 0.0842251 0.996447i \(-0.473159\pi\)
0.609574 + 0.792729i \(0.291340\pi\)
\(14\) −19.1208 + 8.73219i −0.00696823 + 0.00318228i
\(15\) −832.514 1295.42i −0.246671 0.383827i
\(16\) −3929.83 1153.90i −0.959432 0.281715i
\(17\) 7185.39 1033.10i 1.46253 0.210279i 0.635350 0.772224i \(-0.280856\pi\)
0.827175 + 0.561945i \(0.189947\pi\)
\(18\) −3.72088 + 8.14759i −0.000638011 + 0.00139705i
\(19\) 10098.2 + 1451.91i 1.47226 + 0.211679i 0.831270 0.555869i \(-0.187614\pi\)
0.640991 + 0.767548i \(0.278523\pi\)
\(20\) −3417.90 + 5318.35i −0.427237 + 0.664794i
\(21\) −6718.38 + 5821.51i −0.725448 + 0.628605i
\(22\) 64.1078i 0.00602064i
\(23\) −8171.21 + 9014.84i −0.671587 + 0.740925i
\(24\) 73.5472 0.00532025
\(25\) −3842.09 4434.01i −0.245894 0.283777i
\(26\) 49.2614 + 31.6584i 0.00280276 + 0.00180123i
\(27\) −539.088 + 3749.44i −0.0273885 + 0.190491i
\(28\) 33198.6 + 15161.3i 1.51233 + 0.690657i
\(29\) 4730.11 + 32898.6i 0.193944 + 1.34891i 0.821441 + 0.570294i \(0.193171\pi\)
−0.627496 + 0.778619i \(0.715920\pi\)
\(30\) 15.9911 54.4605i 0.000592261 0.00201706i
\(31\) 34487.9 22164.0i 1.15766 0.743983i 0.186511 0.982453i \(-0.440282\pi\)
0.971150 + 0.238470i \(0.0766458\pi\)
\(32\) −188.152 411.995i −0.00574194 0.0125731i
\(33\) 7638.25 + 26013.5i 0.212545 + 0.723863i
\(34\) 202.222 + 175.226i 0.00514508 + 0.00445823i
\(35\) 36890.3 42573.6i 0.860415 0.992971i
\(36\) 14921.7 4381.41i 0.319824 0.0939089i
\(37\) −18992.9 + 8673.77i −0.374961 + 0.171239i −0.593976 0.804482i \(-0.702443\pi\)
0.219015 + 0.975721i \(0.429715\pi\)
\(38\) 203.308 + 316.354i 0.00370514 + 0.00576531i
\(39\) 23761.1 + 6976.90i 0.400565 + 0.117617i
\(40\) −461.317 + 66.3273i −0.00720807 + 0.00103636i
\(41\) −21125.9 + 46259.2i −0.306523 + 0.671192i −0.998723 0.0505136i \(-0.983914\pi\)
0.692200 + 0.721705i \(0.256641\pi\)
\(42\) −324.340 46.6331i −0.00437777 0.000629428i
\(43\) −66394.5 + 103312.i −0.835077 + 1.29941i 0.116872 + 0.993147i \(0.462713\pi\)
−0.951949 + 0.306258i \(0.900923\pi\)
\(44\) 84120.6 72890.9i 0.987516 0.855688i
\(45\) 24004.1i 0.263420i
\(46\) −448.366 10.0231i −0.00460637 0.000102974i
\(47\) −11413.5 −0.109933 −0.0549664 0.998488i \(-0.517505\pi\)
−0.0549664 + 0.998488i \(0.517505\pi\)
\(48\) −41810.4 48251.8i −0.378060 0.436304i
\(49\) −174613. 112217.i −1.48419 0.953830i
\(50\) 30.7770 214.059i 0.000246216 0.00171247i
\(51\) 102935. + 47008.7i 0.775982 + 0.354379i
\(52\) −14469.2 100635.i −0.102904 0.715714i
\(53\) −37971.9 + 129320.i −0.255055 + 0.868639i 0.728038 + 0.685536i \(0.240432\pi\)
−0.983094 + 0.183103i \(0.941386\pi\)
\(54\) −117.461 + 75.4876i −0.000745955 + 0.000479396i
\(55\) −71369.9 156278.i −0.428970 0.939314i
\(56\) 758.024 + 2581.59i 0.00431637 + 0.0147002i
\(57\) 120190. + 104146.i 0.649001 + 0.562363i
\(58\) −802.283 + 925.884i −0.00411191 + 0.00474540i
\(59\) −123696. + 36320.4i −0.602282 + 0.176846i −0.568638 0.822588i \(-0.692529\pi\)
−0.0336440 + 0.999434i \(0.510711\pi\)
\(60\) −89643.6 + 40938.9i −0.415017 + 0.189532i
\(61\) −103388. 160875.i −0.455492 0.708759i 0.535224 0.844710i \(-0.320227\pi\)
−0.990715 + 0.135952i \(0.956591\pi\)
\(62\) 1449.90 + 425.730i 0.00608364 + 0.00178632i
\(63\) −137166. + 19721.5i −0.548561 + 0.0788711i
\(64\) −108885. + 238424.i −0.415362 + 0.909516i
\(65\) −155331. 22333.3i −0.565612 0.0813227i
\(66\) −540.285 + 840.700i −0.00187928 + 0.00292421i
\(67\) 326009. 282489.i 1.08394 0.939240i 0.0855717 0.996332i \(-0.472728\pi\)
0.998369 + 0.0570922i \(0.0181829\pi\)
\(68\) 464584.i 1.47753i
\(69\) −183131. + 49354.3i −0.557460 + 0.150237i
\(70\) 2076.44 0.00605377
\(71\) 323134. + 372917.i 0.902834 + 1.04193i 0.998916 + 0.0465529i \(0.0148236\pi\)
−0.0960815 + 0.995373i \(0.530631\pi\)
\(72\) 964.486 + 619.838i 0.00258404 + 0.00166066i
\(73\) 70952.4 493485.i 0.182389 1.26854i −0.668705 0.743528i \(-0.733151\pi\)
0.851093 0.525014i \(-0.175940\pi\)
\(74\) −700.082 319.717i −0.00172764 0.000788987i
\(75\) −13015.8 90527.2i −0.0308524 0.214583i
\(76\) 183949. 626472.i 0.419040 1.42712i
\(77\) −834380. + 536223.i −1.82764 + 1.17456i
\(78\) 379.197 + 830.326i 0.000799063 + 0.00174970i
\(79\) −145534. 495643.i −0.295177 1.00528i −0.964889 0.262660i \(-0.915400\pi\)
0.669711 0.742622i \(-0.266418\pi\)
\(80\) 305766. + 264948.i 0.597200 + 0.517477i
\(81\) −38668.9 + 44626.3i −0.0727623 + 0.0839722i
\(82\) −1798.59 + 528.113i −0.00326205 + 0.000957823i
\(83\) 793080. 362188.i 1.38702 0.633431i 0.424696 0.905336i \(-0.360381\pi\)
0.962324 + 0.271905i \(0.0876536\pi\)
\(84\) 307586. + 478613.i 0.518953 + 0.807507i
\(85\) −688042. 202027.i −1.12036 0.328968i
\(86\) −4480.61 + 644.215i −0.00704437 + 0.00101283i
\(87\) −215232. + 471292.i −0.326850 + 0.715702i
\(88\) 8122.19 + 1167.79i 0.0119186 + 0.00171364i
\(89\) −306505. + 476930.i −0.434777 + 0.676527i −0.987639 0.156746i \(-0.949899\pi\)
0.552861 + 0.833273i \(0.313536\pi\)
\(90\) 668.684 579.418i 0.000917263 0.000794812i
\(91\) 905953.i 1.20221i
\(92\) 496642. + 599730.i 0.637793 + 0.770180i
\(93\) 639061. 0.794500
\(94\) −275.503 317.948i −0.000331698 0.000382800i
\(95\) −847804. 544850.i −0.988837 0.635487i
\(96\) 1004.80 6988.54i 0.00113571 0.00789901i
\(97\) 898080. + 410139.i 0.984011 + 0.449383i 0.841410 0.540397i \(-0.181726\pi\)
0.142601 + 0.989780i \(0.454453\pi\)
\(98\) −1088.82 7572.94i −0.00115686 0.00804612i
\(99\) −119068. + 405510.i −0.122713 + 0.417923i
\(100\) −315876. + 203001.i −0.315876 + 0.203001i
\(101\) −274360. 600765.i −0.266291 0.583096i 0.728498 0.685048i \(-0.240219\pi\)
−0.994789 + 0.101951i \(0.967491\pi\)
\(102\) 1175.14 + 4002.17i 0.00110736 + 0.00377133i
\(103\) −145745. 126289.i −0.133378 0.115572i 0.585617 0.810588i \(-0.300852\pi\)
−0.718995 + 0.695015i \(0.755398\pi\)
\(104\) 4908.33 5664.52i 0.00436349 0.00503574i
\(105\) 842574. 247402.i 0.727847 0.213715i
\(106\) −4519.06 + 2063.79i −0.00379429 + 0.00173280i
\(107\) 537337. + 836113.i 0.438627 + 0.682517i 0.988241 0.152901i \(-0.0488617\pi\)
−0.549614 + 0.835419i \(0.685225\pi\)
\(108\) 232607. + 68299.4i 0.184651 + 0.0542183i
\(109\) −1.48507e6 + 213521.i −1.14675 + 0.164878i −0.689381 0.724399i \(-0.742117\pi\)
−0.457369 + 0.889277i \(0.651208\pi\)
\(110\) 2630.71 5760.45i 0.00197649 0.00432791i
\(111\) −322170. 46321.1i −0.235568 0.0338696i
\(112\) 1.26277e6 1.96491e6i 0.898815 1.39858i
\(113\) 1.59816e6 1.38482e6i 1.10761 0.959747i 0.108198 0.994129i \(-0.465492\pi\)
0.999409 + 0.0343827i \(0.0109465\pi\)
\(114\) 5862.05i 0.00395672i
\(115\) 1.10416e6 474723.i 0.726002 0.312138i
\(116\) 2.12712e6 1.36276
\(117\) 252800. + 291747.i 0.157841 + 0.182158i
\(118\) −3997.59 2569.10i −0.00243306 0.00156363i
\(119\) −589151. + 4.09764e6i −0.349612 + 2.43160i
\(120\) −6608.63 3018.06i −0.00382444 0.00174656i
\(121\) 178365. + 1.24055e6i 0.100682 + 0.700261i
\(122\) 1985.89 6763.32i 0.00109364 0.00372461i
\(123\) −666903. + 428592.i −0.358383 + 0.230319i
\(124\) −1.08991e6 2.38658e6i −0.571646 1.25173i
\(125\) 598128. + 2.03704e6i 0.306242 + 1.04296i
\(126\) −3860.33 3345.00i −0.00192980 0.00167219i
\(127\) 1.26168e6 1.45606e6i 0.615942 0.710835i −0.358989 0.933342i \(-0.616879\pi\)
0.974931 + 0.222507i \(0.0714240\pi\)
\(128\) −37083.1 + 10888.6i −0.0176826 + 0.00519208i
\(129\) −1.74137e6 + 795259.i −0.811190 + 0.370458i
\(130\) −3127.29 4866.16i −0.00142344 0.00221491i
\(131\) −1.01817e6 298961.i −0.452903 0.132984i 0.0473223 0.998880i \(-0.484931\pi\)
−0.500225 + 0.865895i \(0.666749\pi\)
\(132\) 1.71745e6 246932.i 0.746728 0.107363i
\(133\) −2.41688e6 + 5.29222e6i −1.02731 + 2.24948i
\(134\) 15738.6 + 2262.87i 0.00654112 + 0.000940470i
\(135\) 202301. 314786.i 0.0822236 0.127942i
\(136\) 25884.2 22428.7i 0.0102900 0.00891637i
\(137\) 2.55809e6i 0.994841i −0.867510 0.497420i \(-0.834281\pi\)
0.867510 0.497420i \(-0.165719\pi\)
\(138\) −5795.33 3910.16i −0.00220516 0.00148784i
\(139\) 98689.5 0.0367474 0.0183737 0.999831i \(-0.494151\pi\)
0.0183737 + 0.999831i \(0.494151\pi\)
\(140\) −2.36093e6 2.72466e6i −0.860396 0.992950i
\(141\) −149675. 96190.6i −0.0533941 0.0343143i
\(142\) −2588.46 + 18003.1i −0.000904017 + 0.00628758i
\(143\) 2.51328e6 + 1.14778e6i 0.859475 + 0.392509i
\(144\) −141641. 985134.i −0.0474353 0.329919i
\(145\) 924992. 3.15023e6i 0.303413 1.03333i
\(146\) 15459.7 9935.35i 0.00496755 0.00319245i
\(147\) −1.34411e6 2.94320e6i −0.423139 0.926546i
\(148\) 376473. + 1.28215e6i 0.116131 + 0.395506i
\(149\) −3.55225e6 3.07805e6i −1.07385 0.930500i −0.0760745 0.997102i \(-0.524239\pi\)
−0.997780 + 0.0666022i \(0.978784\pi\)
\(150\) 2207.64 2547.75i 0.000654116 0.000754890i
\(151\) −2.64844e6 + 777653.i −0.769237 + 0.225868i −0.642725 0.766097i \(-0.722196\pi\)
−0.126512 + 0.991965i \(0.540378\pi\)
\(152\) 43784.2 19995.6i 0.0124677 0.00569381i
\(153\) 953693. + 1.48397e6i 0.266277 + 0.414336i
\(154\) −35078.1 10299.9i −0.00960448 0.00282013i
\(155\) −4.00844e6 + 576327.i −1.07642 + 0.154765i
\(156\) 658383. 1.44166e6i 0.173422 0.379741i
\(157\) −1.74835e6 251375.i −0.451784 0.0649567i −0.0873325 0.996179i \(-0.527834\pi\)
−0.364451 + 0.931223i \(0.618743\pi\)
\(158\) 10294.2 16018.1i 0.00260989 0.00406107i
\(159\) −1.58784e6 + 1.37587e6i −0.395016 + 0.342283i
\(160\) 44741.0i 0.0109231i
\(161\) −3.61986e6 5.91943e6i −0.867389 1.41841i
\(162\) −2176.56 −0.000511947
\(163\) −1.56127e6 1.80180e6i −0.360508 0.416048i 0.546302 0.837588i \(-0.316035\pi\)
−0.906810 + 0.421540i \(0.861490\pi\)
\(164\) 2.73798e6 + 1.75959e6i 0.620724 + 0.398915i
\(165\) 381142. 2.65090e6i 0.0848466 0.590121i
\(166\) 29233.1 + 13350.3i 0.00639073 + 0.00291855i
\(167\) 663192. + 4.61260e6i 0.142393 + 0.990369i 0.928249 + 0.371959i \(0.121314\pi\)
−0.785856 + 0.618410i \(0.787777\pi\)
\(168\) −11816.4 + 40243.1i −0.00249206 + 0.00848718i
\(169\) −1.93747e6 + 1.24513e6i −0.401397 + 0.257962i
\(170\) −10980.3 24043.4i −0.00223494 0.00489383i
\(171\) 698445. + 2.37869e6i 0.139683 + 0.475717i
\(172\) 5.93980e6 + 5.14686e6i 1.16731 + 1.01148i
\(173\) 2.70114e6 3.11728e6i 0.521685 0.602057i −0.432367 0.901698i \(-0.642321\pi\)
0.954052 + 0.299641i \(0.0968668\pi\)
\(174\) −18324.1 + 5380.45i −0.00347837 + 0.00102134i
\(175\) 3.04346e6 1.38990e6i 0.567876 0.259340i
\(176\) −3.85119e6 5.99256e6i −0.706410 1.09919i
\(177\) −1.92823e6 566180.i −0.347728 0.102102i
\(178\) −20684.4 + 2973.96i −0.00366760 + 0.000527322i
\(179\) 1.27642e6 2.79498e6i 0.222554 0.487326i −0.765113 0.643897i \(-0.777317\pi\)
0.987667 + 0.156571i \(0.0500440\pi\)
\(180\) −1.52059e6 218629.i −0.260733 0.0374877i
\(181\) 1.73093e6 2.69339e6i 0.291907 0.454216i −0.664065 0.747675i \(-0.731170\pi\)
0.955972 + 0.293459i \(0.0948064\pi\)
\(182\) −25237.2 + 21868.1i −0.00418627 + 0.00362742i
\(183\) 2.98101e6i 0.486419i
\(184\) −9437.36 + 56623.5i −0.00151495 + 0.00908956i
\(185\) 2.06255e6 0.325754
\(186\) 15425.8 + 17802.4i 0.00239723 + 0.00276655i
\(187\) 1.06212e7 + 6.82583e6i 1.62424 + 1.04383i
\(188\) −103954. + 723016.i −0.0156447 + 0.108811i
\(189\) −1.96498e6 897377.i −0.291054 0.132920i
\(190\) −5286.60 36769.1i −0.000770753 0.00536071i
\(191\) −1.14668e6 + 3.90524e6i −0.164567 + 0.560465i 0.835375 + 0.549681i \(0.185251\pi\)
−0.999942 + 0.0107835i \(0.996567\pi\)
\(192\) −3.43728e6 + 2.20900e6i −0.485636 + 0.312099i
\(193\) 2.82900e6 + 6.19465e6i 0.393515 + 0.861677i 0.997887 + 0.0649750i \(0.0206968\pi\)
−0.604372 + 0.796702i \(0.706576\pi\)
\(194\) 10252.8 + 34917.9i 0.00140423 + 0.00478237i
\(195\) −1.84877e6 1.60197e6i −0.249333 0.216048i
\(196\) −8.69901e6 + 1.00392e7i −1.15532 + 1.33331i
\(197\) −2.19944e6 + 645812.i −0.287682 + 0.0844710i −0.422390 0.906414i \(-0.638809\pi\)
0.134708 + 0.990885i \(0.456990\pi\)
\(198\) −14170.4 + 6471.42i −0.00182552 + 0.000833689i
\(199\) −580676. 903549.i −0.0736842 0.114655i 0.802456 0.596712i \(-0.203526\pi\)
−0.876140 + 0.482057i \(0.839890\pi\)
\(200\) −26559.7 7798.64i −0.00331996 0.000974830i
\(201\) 6.65598e6 956985.i 0.819641 0.117847i
\(202\) 10113.0 22144.3i 0.00122694 0.00268663i
\(203\) −1.87612e7 2.69746e6i −2.24271 0.322453i
\(204\) 3.91540e6 6.09248e6i 0.461196 0.717635i
\(205\) 3.79656e6 3.28974e6i 0.440685 0.381856i
\(206\) 7108.44i 0.000813153i
\(207\) −2.81749e6 896157.i −0.317652 0.101035i
\(208\) −6.50661e6 −0.723044
\(209\) 1.16196e7 + 1.34097e7i 1.27278 + 1.46886i
\(210\) 27230.2 + 17499.8i 0.00294031 + 0.00188962i
\(211\) 1.23071e6 8.55974e6i 0.131011 0.911199i −0.813230 0.581943i \(-0.802293\pi\)
0.944241 0.329257i \(-0.106798\pi\)
\(212\) 7.84624e6 + 3.58326e6i 0.823482 + 0.376072i
\(213\) 1.09468e6 + 7.61367e6i 0.113279 + 0.787871i
\(214\) −10321.3 + 35151.0i −0.00105315 + 0.00358671i
\(215\) 1.02054e7 6.55860e6i 1.02687 0.659927i
\(216\) 7424.28 + 16256.9i 0.000736704 + 0.00161316i
\(217\) 6.58658e6 + 2.24318e7i 0.644586 + 2.19526i
\(218\) −41795.2 36215.8i −0.00403420 0.00349565i
\(219\) 5.08943e6 5.87351e6i 0.484548 0.559198i
\(220\) −1.05498e7 + 3.09771e6i −0.990781 + 0.290919i
\(221\) 1.04901e7 4.79069e6i 0.971862 0.443834i
\(222\) −6486.27 10092.8i −0.000592838 0.000922474i
\(223\) 4.44564e6 + 1.30536e6i 0.400885 + 0.117710i 0.475959 0.879468i \(-0.342101\pi\)
−0.0750739 + 0.997178i \(0.523919\pi\)
\(224\) 255662. 36758.7i 0.0227469 0.00327051i
\(225\) 592253. 1.29685e6i 0.0519948 0.113853i
\(226\) 77153.8 + 11093.0i 0.00668393 + 0.000961004i
\(227\) 1.09375e7 1.70191e7i 0.935062 1.45498i 0.0450827 0.998983i \(-0.485645\pi\)
0.889979 0.456001i \(-0.150719\pi\)
\(228\) 7.69203e6 6.66518e6i 0.648987 0.562351i
\(229\) 5.10081e6i 0.424750i 0.977188 + 0.212375i \(0.0681198\pi\)
−0.977188 + 0.212375i \(0.931880\pi\)
\(230\) 39876.9 + 19299.6i 0.00327746 + 0.00158623i
\(231\) −1.54611e7 −1.25431
\(232\) 102691. + 118512.i 0.00822373 + 0.00949069i
\(233\) −1.37716e7 8.85050e6i −1.08872 0.699681i −0.132168 0.991227i \(-0.542194\pi\)
−0.956557 + 0.291547i \(0.905830\pi\)
\(234\) −2025.05 + 14084.5i −0.000158048 + 0.00109925i
\(235\) 1.02557e6 + 468363.i 0.0790246 + 0.0360893i
\(236\) 1.17418e6 + 8.16661e6i 0.0893303 + 0.621306i
\(237\) 2.26865e6 7.72631e6i 0.170421 0.580399i
\(238\) −128369. + 82497.9i −0.00952204 + 0.00611944i
\(239\) 4.24713e6 + 9.29991e6i 0.311101 + 0.681217i 0.999006 0.0445847i \(-0.0141965\pi\)
−0.687904 + 0.725801i \(0.741469\pi\)
\(240\) 1.77686e6 + 6.05141e6i 0.128534 + 0.437747i
\(241\) −939625. 814190.i −0.0671280 0.0581667i 0.620651 0.784087i \(-0.286869\pi\)
−0.687779 + 0.725921i \(0.741414\pi\)
\(242\) −30252.8 + 34913.6i −0.00213461 + 0.00246347i
\(243\) −883197. + 259330.i −0.0615515 + 0.0180732i
\(244\) −1.11326e7 + 5.08410e6i −0.766352 + 0.349981i
\(245\) 1.10851e7 + 1.72487e7i 0.753773 + 1.17289i
\(246\) −28037.2 8232.47i −0.00188334 0.000553000i
\(247\) 1.60424e7 2.30654e6i 1.06458 0.153063i
\(248\) 80349.7 175941.i 0.00526780 0.0115349i
\(249\) 1.34528e7 + 1.93422e6i 0.871392 + 0.125287i
\(250\) −42308.1 + 65832.7i −0.00270772 + 0.00421329i
\(251\) −1.01477e7 + 8.79307e6i −0.641724 + 0.556057i −0.913772 0.406227i \(-0.866844\pi\)
0.272049 + 0.962284i \(0.412299\pi\)
\(252\) 8.86871e6i 0.554190i
\(253\) −2.10077e7 + 2.54266e6i −1.29723 + 0.157010i
\(254\) 71016.5 0.00433369
\(255\) −7.32023e6 8.44800e6i −0.441473 0.509487i
\(256\) 1.41109e7 + 9.06852e6i 0.841075 + 0.540526i
\(257\) −1.14271e6 + 7.94770e6i −0.0673187 + 0.468212i 0.928079 + 0.372383i \(0.121459\pi\)
−0.995398 + 0.0958286i \(0.969450\pi\)
\(258\) −64187.3 29313.4i −0.00373758 0.00170689i
\(259\) −1.69457e6 1.17860e7i −0.0975348 0.678370i
\(260\) −2.82950e6 + 9.63639e6i −0.160987 + 0.548270i
\(261\) −6.79445e6 + 4.36653e6i −0.382149 + 0.245592i
\(262\) −16248.6 35579.5i −0.000903468 0.00197832i
\(263\) −8.83695e6 3.00959e7i −0.485775 1.65440i −0.729065 0.684444i \(-0.760045\pi\)
0.243290 0.969954i \(-0.421773\pi\)
\(264\) 96671.3 + 83766.1i 0.00525395 + 0.00455257i
\(265\) 8.71874e6 1.00620e7i 0.468507 0.540686i
\(266\) −205765. + 60418.1i −0.0109327 + 0.00321012i
\(267\) −8.03891e6 + 3.67125e6i −0.422341 + 0.192877i
\(268\) −1.49256e7 2.32247e7i −0.775402 1.20655i
\(269\) −1.99929e7 5.87043e6i −1.02711 0.301587i −0.275576 0.961279i \(-0.588869\pi\)
−0.751536 + 0.659692i \(0.770687\pi\)
\(270\) 13652.2 1962.89i 0.000693605 9.97253e-5i
\(271\) 6.38498e6 1.39812e7i 0.320813 0.702482i −0.678676 0.734437i \(-0.737446\pi\)
0.999489 + 0.0319553i \(0.0101734\pi\)
\(272\) −2.94295e7 4.23132e6i −1.46243 0.210266i
\(273\) −7.63515e6 + 1.18805e7i −0.375258 + 0.583912i
\(274\) 71260.8 61747.8i 0.00346417 0.00300172i
\(275\) 1.02040e7i 0.490653i
\(276\) 1.45851e6 + 1.20503e7i 0.0693716 + 0.573155i
\(277\) 3.45698e7 1.62652 0.813258 0.581904i \(-0.197692\pi\)
0.813258 + 0.581904i \(0.197692\pi\)
\(278\) 2382.20 + 2749.20i 0.000110877 + 0.000127959i
\(279\) 8.38055e6 + 5.38585e6i 0.385887 + 0.247994i
\(280\) 37824.7 263077.i 0.00172307 0.0119842i
\(281\) 1.04163e6 + 475699.i 0.0469458 + 0.0214394i 0.438750 0.898609i \(-0.355422\pi\)
−0.391804 + 0.920049i \(0.628149\pi\)
\(282\) −933.321 6491.39i −4.16183e−5 0.000289461i
\(283\) 2.60118e6 8.85881e6i 0.114766 0.390855i −0.881997 0.471255i \(-0.843801\pi\)
0.996763 + 0.0803992i \(0.0256195\pi\)
\(284\) 2.65663e7 1.70732e7i 1.15978 0.745347i
\(285\) −6.52610e6 1.42902e7i −0.281916 0.617309i
\(286\) 28692.6 + 97718.1i 0.00122651 + 0.00417712i
\(287\) −2.19176e7 1.89917e7i −0.927146 0.803376i
\(288\) 72074.5 83178.4i 0.00301720 0.00348203i
\(289\) 2.74026e7 8.04614e6i 1.13527 0.333345i
\(290\) 110084. 50273.6i 0.00451367 0.00206132i
\(291\) 8.32073e6 + 1.29473e7i 0.337662 + 0.525413i
\(292\) −3.06147e7 8.98927e6i −1.22965 0.361057i
\(293\) −7.24799e6 + 1.04210e6i −0.288147 + 0.0414293i −0.284873 0.958565i \(-0.591951\pi\)
−0.00327448 + 0.999995i \(0.501042\pi\)
\(294\) 49544.2 108487.i 0.00194962 0.00426908i
\(295\) 1.26052e7 + 1.81236e6i 0.491003 + 0.0705956i
\(296\) −53259.5 + 82873.4i −0.00205363 + 0.00319551i
\(297\) −4.97899e6 + 4.31432e6i −0.190052 + 0.164681i
\(298\) 173254.i 0.00654689i
\(299\) −8.42043e6 + 1.73983e7i −0.315007 + 0.650868i
\(300\) −5.85319e6 −0.216785
\(301\) −4.58622e7 5.29279e7i −1.68173 1.94082i
\(302\) −85592.0 55006.7i −0.00310751 0.00199708i
\(303\) 1.46518e6 1.01906e7i 0.0526701 0.366328i
\(304\) −3.80090e7 1.73581e7i −1.35290 0.617849i
\(305\) 2.68838e6 + 1.86981e7i 0.0947526 + 0.659019i
\(306\) −18318.7 + 62387.7i −0.000639337 + 0.00217738i
\(307\) 5.97600e6 3.84054e6i 0.206536 0.132732i −0.433284 0.901257i \(-0.642645\pi\)
0.639820 + 0.768525i \(0.279009\pi\)
\(308\) 2.63688e7 + 5.77395e7i 0.902480 + 1.97616i
\(309\) −846948. 2.88444e6i −0.0287066 0.0977656i
\(310\) −112812. 97751.9i −0.00378677 0.00328126i
\(311\) −1.85942e7 + 2.14588e7i −0.618152 + 0.713386i −0.975355 0.220641i \(-0.929185\pi\)
0.357203 + 0.934027i \(0.383730\pi\)
\(312\) 112106. 32917.4i 0.00369119 0.00108383i
\(313\) 4.72730e6 2.15889e6i 0.154163 0.0704039i −0.336839 0.941562i \(-0.609358\pi\)
0.491002 + 0.871158i \(0.336631\pi\)
\(314\) −35199.7 54771.8i −0.00113697 0.00176916i
\(315\) 1.31344e7 + 3.85661e6i 0.420223 + 0.123388i
\(316\) −3.27231e7 + 4.70487e6i −1.03704 + 0.149103i
\(317\) −2.80267e6 + 6.13699e6i −0.0879821 + 0.192654i −0.948508 0.316752i \(-0.897408\pi\)
0.860526 + 0.509406i \(0.170135\pi\)
\(318\) −76655.4 11021.4i −0.00238375 0.000342732i
\(319\) −3.12524e7 + 4.86297e7i −0.962745 + 1.49806i
\(320\) 1.95678e7 1.69556e7i 0.597162 0.517444i
\(321\) 1.54932e7i 0.468410i
\(322\) 77520.9 243724.i 0.00232194 0.00730012i
\(323\) 7.40597e7 2.19773
\(324\) 2.47476e6 + 2.85602e6i 0.0727608 + 0.0839704i
\(325\) −7.84094e6 5.03906e6i −0.228411 0.146791i
\(326\) 12506.5 86984.6i 0.000360980 0.00251067i
\(327\) −2.12745e7 9.71575e6i −0.608439 0.277865i
\(328\) 34146.4 + 237494.i 0.000967663 + 0.00673024i
\(329\) 1.83375e6 6.24519e6i 0.0514936 0.175371i
\(330\) 83046.3 53370.6i 0.00231089 0.00148512i
\(331\) −2.20328e7 4.82451e7i −0.607555 1.33036i −0.924234 0.381827i \(-0.875295\pi\)
0.316679 0.948533i \(-0.397432\pi\)
\(332\) −1.57202e7 5.35382e7i −0.429581 1.46302i
\(333\) −3.83451e6 3.32262e6i −0.103843 0.0899804i
\(334\) −112485. + 129815.i −0.00301895 + 0.00348406i
\(335\) −4.08859e7 + 1.20052e7i −1.08752 + 0.319326i
\(336\) 3.31196e7 1.51252e7i 0.873105 0.398734i
\(337\) 3.04691e7 + 4.74109e7i 0.796105 + 1.23876i 0.967327 + 0.253531i \(0.0815920\pi\)
−0.171222 + 0.985232i \(0.554772\pi\)
\(338\) −81452.9 23916.7i −0.00210939 0.000619372i
\(339\) 3.26289e7 4.69133e6i 0.837537 0.120420i
\(340\) −1.90645e7 + 4.17455e7i −0.485053 + 1.06212i
\(341\) 7.05748e7 + 1.01471e7i 1.77986 + 0.255906i
\(342\) −49403.9 + 76874.0i −0.00123505 + 0.00192177i
\(343\) 3.87516e7 3.35784e7i 0.960300 0.832104i
\(344\) 579410.i 0.0142335i
\(345\) 1.84806e7 + 3.08014e6i 0.450048 + 0.0750090i
\(346\) 152039. 0.00367052
\(347\) 2.20587e7 + 2.54571e7i 0.527948 + 0.609284i 0.955603 0.294658i \(-0.0952057\pi\)
−0.427655 + 0.903942i \(0.640660\pi\)
\(348\) 2.78947e7 + 1.79268e7i 0.661888 + 0.425369i
\(349\) 1.90543e6 1.32525e7i 0.0448245 0.311761i −0.955058 0.296420i \(-0.904207\pi\)
0.999882 0.0153418i \(-0.00488363\pi\)
\(350\) 112183. + 51232.1i 0.00261650 + 0.00119492i
\(351\) 856410. + 5.95646e6i 0.0198043 + 0.137742i
\(352\) 221930. 755826.i 0.00508849 0.0173298i
\(353\) −1.59594e7 + 1.02565e7i −0.362821 + 0.233171i −0.709331 0.704875i \(-0.751003\pi\)
0.346510 + 0.938046i \(0.387367\pi\)
\(354\) −30772.1 67381.5i −0.000693661 0.00151890i
\(355\) −1.37325e7 4.67687e7i −0.306949 1.04537i
\(356\) 2.74206e7 + 2.37601e7i 0.607753 + 0.526621i
\(357\) −4.22599e7 + 4.87706e7i −0.928804 + 1.07190i
\(358\) 108671. 31908.6i 0.00236844 0.000695437i
\(359\) −1.09891e7 + 5.01853e6i −0.237507 + 0.108466i −0.530613 0.847614i \(-0.678038\pi\)
0.293106 + 0.956080i \(0.405311\pi\)
\(360\) −61229.0 95274.2i −0.00131235 0.00204206i
\(361\) 5.47263e7 + 1.60691e7i 1.16325 + 0.341562i
\(362\) 116812. 16795.0i 0.00246241 0.000354041i
\(363\) −8.11604e6 + 1.77717e7i −0.169678 + 0.371542i
\(364\) 5.73896e7 + 8.25138e6i 1.18995 + 0.171089i
\(365\) −2.66260e7 + 4.14308e7i −0.547553 + 0.852010i
\(366\) 83042.3 71956.6i 0.00169378 0.00146767i
\(367\) 2.69869e7i 0.545953i 0.962021 + 0.272976i \(0.0880081\pi\)
−0.962021 + 0.272976i \(0.911992\pi\)
\(368\) 4.25137e7 2.59980e7i 0.853072 0.521671i
\(369\) −1.23577e7 −0.245957
\(370\) 49786.5 + 57456.7i 0.000982893 + 0.00113432i
\(371\) −6.46600e7 4.15544e7i −1.26623 0.813759i
\(372\) 5.82054e6 4.04828e7i 0.113067 0.786396i
\(373\) 4.36519e6 + 1.99352e6i 0.0841157 + 0.0384143i 0.457029 0.889452i \(-0.348914\pi\)
−0.372913 + 0.927866i \(0.621641\pi\)
\(374\) 66229.9 + 460639.i 0.00126602 + 0.00880534i
\(375\) −9.32389e6 + 3.17543e7i −0.176809 + 0.602155i
\(376\) −45301.3 + 29113.3i −0.000852210 + 0.000547682i
\(377\) 2.19344e7 + 4.80296e7i 0.409356 + 0.896365i
\(378\) −22433.0 76399.8i −0.000415348 0.00141454i
\(379\) −7.04929e7 6.10824e7i −1.29487 1.12202i −0.985244 0.171158i \(-0.945249\pi\)
−0.309631 0.950857i \(-0.600205\pi\)
\(380\) −4.22365e7 + 4.87435e7i −0.769728 + 0.888314i
\(381\) 2.88169e7 8.46140e6i 0.521041 0.152991i
\(382\) −136468. + 62322.7i −0.00244816 + 0.00111804i
\(383\) −8.75347e6 1.36207e7i −0.155806 0.242439i 0.754571 0.656218i \(-0.227845\pi\)
−0.910377 + 0.413779i \(0.864209\pi\)
\(384\) −578068. 169736.i −0.0102091 0.00299765i
\(385\) 9.69780e7 1.39433e7i 1.69938 0.244334i
\(386\) −104277. + 228336.i −0.00181313 + 0.00397020i
\(387\) −2.95383e7 4.24697e6i −0.509628 0.0732734i
\(388\) 3.41609e7 5.31554e7i 0.584836 0.910022i
\(389\) 5.42241e7 4.69855e7i 0.921179 0.798206i −0.0586018 0.998281i \(-0.518664\pi\)
0.979780 + 0.200076i \(0.0641188\pi\)
\(390\) 90170.1i 0.00152009i
\(391\) −4.94000e7 + 7.32168e7i −0.826412 + 1.22484i
\(392\) −979294. −0.0162575
\(393\) −1.08325e7 1.25014e7i −0.178464 0.205959i
\(394\) −71081.0 45681.0i −0.00116216 0.000746873i
\(395\) −7.26201e6 + 5.05084e7i −0.117833 + 0.819544i
\(396\) 2.46035e7 + 1.12360e7i 0.396197 + 0.180937i
\(397\) 894719. + 6.22291e6i 0.0142993 + 0.0994539i 0.995721 0.0924082i \(-0.0294565\pi\)
−0.981422 + 0.191862i \(0.938547\pi\)
\(398\) 11153.7 37986.1i 0.000176917 0.000602525i
\(399\) −7.62961e7 + 4.90325e7i −1.20111 + 0.771908i
\(400\) 9.98236e6 + 2.18583e7i 0.155974 + 0.341536i
\(401\) −1.16771e7 3.97684e7i −0.181092 0.616744i −0.999135 0.0415865i \(-0.986759\pi\)
0.818042 0.575158i \(-0.195059\pi\)
\(402\) 187323. + 162316.i 0.00288345 + 0.00249852i
\(403\) 4.26492e7 4.92198e7i 0.651622 0.752011i
\(404\) −4.05556e7 + 1.19082e7i −0.615045 + 0.180594i
\(405\) 5.30589e6 2.42312e6i 0.0798717 0.0364762i
\(406\) −377721. 587745.i −0.00564407 0.00878235i
\(407\) −3.48434e7 1.02310e7i −0.516818 0.151751i
\(408\) 528465. 75981.8i 0.00778100 0.00111874i
\(409\) −3.05900e7 + 6.69827e7i −0.447105 + 0.979023i 0.543135 + 0.839646i \(0.317237\pi\)
−0.990239 + 0.139377i \(0.955490\pi\)
\(410\) 183285. + 26352.4i 0.00265935 + 0.000382356i
\(411\) 2.15589e7 3.35463e7i 0.310529 0.483192i
\(412\) −9.32750e6 + 8.08233e6i −0.133375 + 0.115570i
\(413\) 7.35186e7i 1.04363i
\(414\) −43045.2 100119.i −0.000606629 0.00141096i
\(415\) −8.61254e7 −1.20500
\(416\) −471192. 543784.i −0.00654512 0.00755347i
\(417\) 1.29420e6 + 831731.i 0.0178481 + 0.0114703i
\(418\) −93078.6 + 647376.i −0.00127445 + 0.00886396i
\(419\) 1.44512e7 + 6.59965e6i 0.196455 + 0.0897178i 0.511213 0.859454i \(-0.329196\pi\)
−0.314759 + 0.949172i \(0.601924\pi\)
\(420\) −7.99810e6 5.56280e7i −0.107954 0.750837i
\(421\) −2.91556e7 + 9.92949e7i −0.390729 + 1.33070i 0.495964 + 0.868343i \(0.334815\pi\)
−0.886693 + 0.462358i \(0.847003\pi\)
\(422\) 268156. 172334.i 0.00356821 0.00229315i
\(423\) −1.15215e6 2.52286e6i −0.0152226 0.0333328i
\(424\) 179153. + 610140.i 0.00235032 + 0.00800446i
\(425\) −3.21877e7 2.78908e7i −0.419298 0.363324i
\(426\) −185671. + 214276.i −0.00240168 + 0.00277168i
\(427\) 1.04637e8 3.07243e7i 1.34401 0.394637i
\(428\) 5.78595e7 2.64235e7i 0.737978 0.337023i
\(429\) 2.32856e7 + 3.62331e7i 0.294928 + 0.458917i
\(430\) 429044. + 125979.i 0.00539630 + 0.00158450i
\(431\) 3.23184e7 4.64668e6i 0.403662 0.0580378i 0.0625059 0.998045i \(-0.480091\pi\)
0.341156 + 0.940007i \(0.389182\pi\)
\(432\) 6.44501e6 1.41126e7i 0.0799416 0.175048i
\(433\) 7.84418e7 + 1.12782e7i 0.966238 + 0.138924i 0.607330 0.794449i \(-0.292240\pi\)
0.358907 + 0.933373i \(0.383149\pi\)
\(434\) −465896. + 724948.i −0.00569928 + 0.00886825i
\(435\) 3.86796e7 3.35160e7i 0.469909 0.407179i
\(436\) 9.60201e7i 1.15852i
\(437\) −9.56035e7 + 7.91702e7i −1.14559 + 0.948675i
\(438\) 286469. 0.00340922
\(439\) −2.77640e7 3.20413e7i −0.328162 0.378719i 0.567561 0.823331i \(-0.307887\pi\)
−0.895723 + 0.444612i \(0.853341\pi\)
\(440\) −681903. 438233.i −0.00800506 0.00514454i
\(441\) 7.17805e6 4.99245e7i 0.0836933 0.582100i
\(442\) 386668. + 176586.i 0.00447787 + 0.00204498i
\(443\) −2.31251e6 1.60838e7i −0.0265994 0.185003i 0.972190 0.234193i \(-0.0752449\pi\)
−0.998789 + 0.0491906i \(0.984336\pi\)
\(444\) −5.86863e6 + 1.99867e7i −0.0670483 + 0.228345i
\(445\) 4.71123e7 3.02773e7i 0.534632 0.343587i
\(446\) 70946.7 + 155352.i 0.000799701 + 0.00175110i
\(447\) −2.06427e7 7.03026e7i −0.231123 0.787134i
\(448\) −1.12966e8 9.78852e7i −1.25635 1.08864i
\(449\) 4.48212e7 5.17264e7i 0.495159 0.571443i −0.452078 0.891978i \(-0.649317\pi\)
0.947237 + 0.320535i \(0.103863\pi\)
\(450\) 50422.5 14805.4i 0.000553333 0.000162473i
\(451\) −8.04548e7 + 3.67425e7i −0.877045 + 0.400533i
\(452\) −7.31682e7 1.13852e8i −0.792332 1.23289i
\(453\) −4.12852e7 1.21224e7i −0.444119 0.130405i
\(454\) 738114. 106125.i 0.00788780 0.00113409i
\(455\) 3.71764e7 8.14050e7i 0.394669 0.864205i
\(456\) 742697. + 106784.i 0.00783280 + 0.00112619i
\(457\) −1.16300e7 + 1.80966e7i −0.121851 + 0.189604i −0.896820 0.442395i \(-0.854129\pi\)
0.774969 + 0.631999i \(0.217765\pi\)
\(458\) −142094. + 123125.i −0.00147903 + 0.00128159i
\(459\) 2.74981e7i 0.284357i
\(460\) −2.00157e7 7.42692e7i −0.205636 0.763018i
\(461\) 7.71970e7 0.787948 0.393974 0.919122i \(-0.371100\pi\)
0.393974 + 0.919122i \(0.371100\pi\)
\(462\) −373204. 430700.i −0.00378460 0.00436767i
\(463\) −1.37576e8 8.84145e7i −1.38611 0.890801i −0.386608 0.922244i \(-0.626353\pi\)
−0.999506 + 0.0314435i \(0.989990\pi\)
\(464\) 1.93733e7 1.34744e8i 0.193932 1.34883i
\(465\) −5.74233e7 2.62243e7i −0.571122 0.260823i
\(466\) −85874.9 597273.i −0.000848611 0.00590222i
\(467\) −3.24099e7 + 1.10378e8i −0.318220 + 1.08376i 0.632720 + 0.774381i \(0.281939\pi\)
−0.950940 + 0.309377i \(0.899880\pi\)
\(468\) 2.07839e7 1.33570e7i 0.202763 0.130308i
\(469\) 1.02192e8 + 2.23770e8i 0.990602 + 2.16911i
\(470\) 11708.3 + 39874.9i 0.000112772 + 0.000384066i
\(471\) −2.08091e7 1.80312e7i −0.199155 0.172569i
\(472\) −398314. + 459679.i −0.00378791 + 0.00437148i
\(473\) −2.04936e8 + 6.01747e7i −1.93658 + 0.568631i
\(474\) 269994. 123302.i 0.00253524 0.00115780i
\(475\) −3.23606e7 5.03541e7i −0.301951 0.469844i
\(476\) 2.54208e8 + 7.46422e7i 2.35705 + 0.692092i
\(477\) −3.24182e7 + 4.66103e6i −0.298699 + 0.0429464i
\(478\) −156550. + 342796.i −0.00143341 + 0.00313872i
\(479\) −1.05130e8 1.51155e7i −0.956581 0.137536i −0.353693 0.935361i \(-0.615074\pi\)
−0.602888 + 0.797826i \(0.705983\pi\)
\(480\) −377066. + 586727.i −0.00340953 + 0.00530533i
\(481\) −2.50683e7 + 2.17218e7i −0.225263 + 0.195192i
\(482\) 45828.3i 0.000409254i
\(483\) 2.41730e6 1.08134e8i 0.0214530 0.959666i
\(484\) 8.02102e7 0.707446
\(485\) −6.38672e7 7.37067e7i −0.559826 0.646073i
\(486\) −28543.0 18343.5i −0.000248652 0.000159799i
\(487\) −1.79173e6 + 1.24617e7i −0.0155126 + 0.107893i −0.996107 0.0881570i \(-0.971902\pi\)
0.980594 + 0.196050i \(0.0628114\pi\)
\(488\) −820710. 374806.i −0.00706204 0.00322512i
\(489\) −5.28910e6 3.67865e7i −0.0452330 0.314602i
\(490\) −212924. + 725152.i −0.00180982 + 0.00616369i
\(491\) −9.99711e7 + 6.42475e7i −0.844559 + 0.542765i −0.889873 0.456207i \(-0.849207\pi\)
0.0453141 + 0.998973i \(0.485571\pi\)
\(492\) 2.10760e7 + 4.61500e7i 0.176967 + 0.387505i
\(493\) 6.79754e7 + 2.31503e8i 0.567297 + 1.93204i
\(494\) 451488. + 391217.i 0.00374512 + 0.00324516i
\(495\) 2.73394e7 3.15513e7i 0.225410 0.260137i
\(496\) −1.61107e8 + 4.73052e7i −1.32029 + 0.387671i
\(497\) −2.55967e8 + 1.16896e8i −2.08504 + 0.952205i
\(498\) 270845. + 421443.i 0.00219297 + 0.00341233i
\(499\) 5.74635e7 + 1.68728e7i 0.462477 + 0.135796i 0.504667 0.863314i \(-0.331615\pi\)
−0.0421899 + 0.999110i \(0.513433\pi\)
\(500\) 1.34488e8 1.93365e7i 1.07591 0.154692i
\(501\) −3.01769e7 + 6.60782e7i −0.239973 + 0.525467i
\(502\) −489898. 70436.7i −0.00387253 0.000556785i
\(503\) 1.32682e8 2.06457e8i 1.04258 1.62228i 0.298225 0.954496i \(-0.403605\pi\)
0.744353 0.667787i \(-0.232758\pi\)
\(504\) −494118. + 428155.i −0.00385957 + 0.00334433i
\(505\) 6.52406e7i 0.506575i
\(506\) −577921. 523838.i −0.00446085 0.00404339i
\(507\) −3.59013e7 −0.275478
\(508\) −8.07461e7 9.31860e7i −0.615929 0.710820i
\(509\) 1.48311e8 + 9.53139e7i 1.12466 + 0.722774i 0.964439 0.264307i \(-0.0851432\pi\)
0.160220 + 0.987081i \(0.448780\pi\)
\(510\) 58638.6 407840.i 0.000442052 0.00307454i
\(511\) 2.58622e8 + 1.18109e8i 1.93822 + 0.885156i
\(512\) 440008. + 3.06032e6i 0.00327832 + 0.0228012i
\(513\) −1.08877e7 + 3.70800e7i −0.0806461 + 0.274655i
\(514\) −248983. + 160011.i −0.00183349 + 0.00117832i
\(515\) 7.91368e6 + 1.73285e7i 0.0579371 + 0.126865i
\(516\) 3.45171e7 + 1.17554e8i 0.251238 + 0.855637i
\(517\) −1.50021e7 1.29994e7i −0.108563 0.0940700i
\(518\) 287419. 331699.i 0.00206788 0.00238646i
\(519\) 6.16940e7 1.81150e7i 0.441307 0.129579i
\(520\) −673489. + 307572.i −0.00478983 + 0.00218744i
\(521\) −1.16973e7 1.82014e7i −0.0827130 0.128704i 0.797432 0.603409i \(-0.206191\pi\)
−0.880145 + 0.474705i \(0.842555\pi\)
\(522\) −285645. 83872.9i −0.00200824 0.000589672i
\(523\) 7.71237e6 1.10887e6i 0.0539117 0.00775133i −0.115306 0.993330i \(-0.536785\pi\)
0.169218 + 0.985579i \(0.445876\pi\)
\(524\) −2.82117e7 + 6.17751e7i −0.196081 + 0.429358i
\(525\) 5.16253e7 + 7.42259e6i 0.356767 + 0.0512953i
\(526\) 625074. 972635.i 0.00429511 0.00668332i
\(527\) 2.24911e8 1.94886e8i 1.53666 1.33153i
\(528\) 1.11042e8i 0.754375i
\(529\) −1.44987e7 1.47324e8i −0.0979405 0.995192i
\(530\) 490752. 0.00329636
\(531\) −2.05149e7 2.36755e7i −0.137021 0.158130i
\(532\) 3.13235e8 + 2.01304e8i 2.08034 + 1.33696i
\(533\) −1.14975e7 + 7.99671e7i −0.0759317 + 0.528117i
\(534\) −296316. 135323.i −0.00194595 0.000888684i
\(535\) −1.39723e7 9.71795e7i −0.0912445 0.634619i
\(536\) 573392. 1.95279e6i 0.00372355 0.0126813i
\(537\) 4.02942e7 2.58955e7i 0.260208 0.167225i
\(538\) −319060. 698645.i −0.00204892 0.00448652i
\(539\) −1.01705e8 3.46374e8i −0.649493 2.21197i
\(540\) −1.80983e7 1.56823e7i −0.114936 0.0995927i
\(541\) 3.27478e7 3.77929e7i 0.206819 0.238682i −0.642858 0.765985i \(-0.722252\pi\)
0.849677 + 0.527304i \(0.176797\pi\)
\(542\) 543596. 159614.i 0.00341412 0.00100248i
\(543\) 4.53984e7 2.07328e7i 0.283557 0.129496i
\(544\) −1.77758e6 2.76596e6i −0.0110416 0.0171811i
\(545\) 1.42204e8 + 4.17549e7i 0.878462 + 0.257940i
\(546\) −515256. + 74082.6i −0.00316552 + 0.000455133i
\(547\) −7.23923e7 + 1.58517e8i −0.442314 + 0.968532i 0.548854 + 0.835918i \(0.315064\pi\)
−0.991168 + 0.132614i \(0.957663\pi\)
\(548\) −1.62048e8 2.32989e7i −0.984694 0.141578i
\(549\) 2.51233e7 3.90926e7i 0.151831 0.236253i
\(550\) 284255. 246308.i 0.00170852 0.00148044i
\(551\) 3.39086e8i 2.02701i
\(552\) −600969. + 663016.i −0.00357301 + 0.00394191i
\(553\) 2.94585e8 1.74195
\(554\) 834457. + 963014.i 0.00490766 + 0.00566374i
\(555\) 2.70480e7 + 1.73827e7i 0.158218 + 0.101681i
\(556\) 898860. 6.25171e6i 0.00522959 0.0363726i
\(557\) 7.13880e7 + 3.26018e7i 0.413104 + 0.188658i 0.611116 0.791541i \(-0.290721\pi\)
−0.198011 + 0.980200i \(0.563448\pi\)
\(558\) 52258.1 + 363463.i 0.000300781 + 0.00209198i
\(559\) −5.49645e7 + 1.87192e8i −0.314664 + 1.07165i
\(560\) −1.94098e8 + 1.24740e8i −1.10524 + 0.710297i
\(561\) 8.17583e7 + 1.79026e8i 0.463067 + 1.01397i
\(562\) 11891.7 + 40499.4i 6.69939e−5 + 0.000228160i
\(563\) −4.00547e7 3.47076e7i −0.224455 0.194491i 0.535373 0.844616i \(-0.320171\pi\)
−0.759827 + 0.650125i \(0.774717\pi\)
\(564\) −7.45664e6 + 8.60542e6i −0.0415629 + 0.0479662i
\(565\) −2.00431e8 + 5.88518e7i −1.11127 + 0.326298i
\(566\) 309569. 141375.i 0.00170729 0.000779694i
\(567\) −1.82056e7 2.83284e7i −0.0998747 0.155408i
\(568\) 2.23377e6 + 655894.i 0.0121897 + 0.00357922i
\(569\) 1.11832e8 1.60791e7i 0.607059 0.0872820i 0.168071 0.985775i \(-0.446246\pi\)
0.438988 + 0.898493i \(0.355337\pi\)
\(570\) 240553. 526738.i 0.00129893 0.00284427i
\(571\) −4.46443e7 6.41888e6i −0.239804 0.0344787i 0.0213646 0.999772i \(-0.493199\pi\)
−0.261169 + 0.965293i \(0.584108\pi\)
\(572\) 9.55994e7 1.48756e8i 0.510819 0.794850i
\(573\) −4.79499e7 + 4.15488e7i −0.254873 + 0.220849i
\(574\) 1.06899e6i 0.00565246i
\(575\) 7.13664e7 + 1.59537e6i 0.375397 + 0.00839188i
\(576\) −6.36929e7 −0.333291
\(577\) −1.84545e8 2.12977e8i −0.960673 1.10868i −0.994016 0.109232i \(-0.965161\pi\)
0.0333434 0.999444i \(-0.489385\pi\)
\(578\) 885595. + 569137.i 0.00458618 + 0.00294736i
\(579\) −1.51079e7 + 1.05078e8i −0.0778338 + 0.541346i
\(580\) −1.91134e8 8.72878e7i −0.979610 0.447373i
\(581\) 7.07595e7 + 4.92143e8i 0.360792 + 2.50936i
\(582\) −159826. + 544317.i −0.000810733 + 0.00276110i
\(583\) −1.97199e8 + 1.26732e8i −0.995176 + 0.639561i
\(584\) −977151. 2.13966e6i −0.00490595 0.0107425i
\(585\) −1.07435e7 3.65889e7i −0.0536633 0.182760i
\(586\) −203984. 176753.i −0.00101369 0.000878363i
\(587\) −3.87312e7 + 4.46982e7i −0.191490 + 0.220991i −0.843373 0.537328i \(-0.819434\pi\)
0.651883 + 0.758319i \(0.273979\pi\)
\(588\) −1.98685e8 + 5.83393e7i −0.977314 + 0.286965i
\(589\) 3.80447e8 1.73744e8i 1.86187 0.850285i
\(590\) 253781. + 394892.i 0.00123567 + 0.00192275i
\(591\) −3.42858e7 1.00672e7i −0.166093 0.0487694i
\(592\) 8.46476e7 1.21705e7i 0.407990 0.0586601i
\(593\) 1.12117e8 2.45503e8i 0.537662 1.17732i −0.424648 0.905359i \(-0.639602\pi\)
0.962310 0.271956i \(-0.0876706\pi\)
\(594\) −240368. 34559.7i −0.00114688 0.000164896i
\(595\) 2.21088e8 3.44020e8i 1.04958 1.63317i
\(596\) −2.27339e8 + 1.96991e8i −1.07383 + 0.930480i
\(597\) 1.67428e7i 0.0786874i
\(598\) −687920. + 185396.i −0.00321688 + 0.000866957i
\(599\) 6.16735e7 0.286958 0.143479 0.989653i \(-0.454171\pi\)
0.143479 + 0.989653i \(0.454171\pi\)
\(600\) −282575. 326109.i −0.00130822 0.00150976i
\(601\) −2.33068e8 1.49784e8i −1.07364 0.689988i −0.120563 0.992706i \(-0.538470\pi\)
−0.953080 + 0.302717i \(0.902106\pi\)
\(602\) 367379. 2.55518e6i 0.00168393 0.0117120i
\(603\) 9.53507e7 + 4.35452e7i 0.434883 + 0.198604i
\(604\) 2.51403e7 + 1.74854e8i 0.114093 + 0.793535i
\(605\) 3.48799e7 1.18790e8i 0.157510 0.536431i
\(606\) 319246. 205167.i 0.00143453 0.000921913i
\(607\) 3.78166e7 + 8.28068e7i 0.169089 + 0.370254i 0.975139 0.221594i \(-0.0711259\pi\)
−0.806050 + 0.591848i \(0.798399\pi\)
\(608\) −1.30182e6 4.43361e6i −0.00579217 0.0197263i
\(609\) −2.23298e8 1.93489e8i −0.988630 0.856653i
\(610\) −455981. + 526230.i −0.00200890 + 0.00231839i
\(611\) −1.73974e7 + 5.10834e6i −0.0762713 + 0.0223953i
\(612\) 1.02692e8 4.68978e7i 0.448004 0.204597i
\(613\) −5.65805e7 8.80410e7i −0.245632 0.382211i 0.696443 0.717612i \(-0.254765\pi\)
−0.942076 + 0.335401i \(0.891128\pi\)
\(614\) 251237. + 73769.7i 0.00108537 + 0.000318693i
\(615\) 7.75126e7 1.11446e7i 0.333232 0.0479115i
\(616\) −1.94394e6 + 4.25662e6i −0.00831648 + 0.0182106i
\(617\) 1.96601e8 + 2.82670e7i 0.837010 + 0.120344i 0.547473 0.836823i \(-0.315590\pi\)
0.289537 + 0.957167i \(0.406499\pi\)
\(618\) 59908.2 93218.9i 0.000253817 0.000394947i
\(619\) 2.13703e8 1.85174e8i 0.901027 0.780745i −0.0752734 0.997163i \(-0.523983\pi\)
0.976301 + 0.216418i \(0.0694375\pi\)
\(620\) 2.59173e8i 1.08746i
\(621\) −2.93956e7 3.54972e7i −0.122746 0.148224i
\(622\) −1.04661e6 −0.00434925
\(623\) −2.11719e8 2.44337e8i −0.875581 1.01047i
\(624\) −8.53266e7 5.48361e7i −0.351181 0.225690i
\(625\) 1.67997e7 1.16844e8i 0.0688116 0.478595i
\(626\) 174249. + 79576.9i 0.000710310 + 0.000324388i
\(627\) 3.93637e7 + 2.73780e8i 0.159696 + 1.11071i
\(628\) −3.18479e7 + 1.08464e8i −0.128588 + 0.437931i
\(629\) −1.27510e8 + 8.19460e7i −0.512382 + 0.329288i
\(630\) 209608. + 458979.i 0.000838276 + 0.00183557i
\(631\) −1.14584e8 3.90236e8i −0.456073 1.55324i −0.791496 0.611174i \(-0.790698\pi\)
0.335424 0.942067i \(-0.391121\pi\)
\(632\) −1.84191e6 1.59602e6i −0.00729653 0.00632248i
\(633\) 8.82787e7 1.01879e8i 0.348052 0.401674i
\(634\) −238610. + 70062.3i −0.000936313 + 0.000274926i
\(635\) −1.73120e8 + 7.90613e7i −0.676124 + 0.308775i
\(636\) 7.26956e7 + 1.13117e8i 0.282577 + 0.439698i
\(637\) −3.16384e8 9.28987e7i −1.22404 0.359411i
\(638\) −2.10906e6 + 303237.i −0.00812133 + 0.00116767i
\(639\) −4.98107e7 + 1.09070e8i −0.190906 + 0.418026i
\(640\) 3.77895e6 + 543330.i 0.0144155 + 0.00207264i
\(641\) 7.74487e7 1.20513e8i 0.294063 0.457571i −0.662515 0.749049i \(-0.730511\pi\)
0.956577 + 0.291478i \(0.0941471\pi\)
\(642\) −431595. + 373979.i −0.00163107 + 0.00141333i
\(643\) 3.94027e8i 1.48215i −0.671421 0.741076i \(-0.734316\pi\)
0.671421 0.741076i \(-0.265684\pi\)
\(644\) −4.07949e8 + 1.75394e8i −1.52738 + 0.656685i
\(645\) 1.89106e8 0.704736
\(646\) 1.78767e6 + 2.06309e6i 0.00663118 + 0.00765279i
\(647\) −1.39975e8 8.99568e7i −0.516820 0.332140i 0.256093 0.966652i \(-0.417565\pi\)
−0.772913 + 0.634512i \(0.781201\pi\)
\(648\) −39648.4 + 275761.i −0.000145714 + 0.00101346i
\(649\) −2.03955e8 9.31429e7i −0.746104 0.340734i
\(650\) −48893.2 340060.i −0.000178036 0.00123827i
\(651\) −1.02675e8 + 3.49678e8i −0.372152 + 1.26743i
\(652\) −1.28359e8 + 8.24913e7i −0.463109 + 0.297622i
\(653\) −1.27411e8 2.78992e8i −0.457582 1.00197i −0.988032 0.154249i \(-0.950704\pi\)
0.530450 0.847716i \(-0.322023\pi\)
\(654\) −242878. 827168.i −0.000868272 0.00295706i
\(655\) 7.92199e7 + 6.86445e7i 0.281910 + 0.244276i
\(656\) 1.36400e8 1.57414e8i 0.483173 0.557611i
\(657\) 1.16242e8 3.41319e7i 0.409891 0.120355i
\(658\) 218236. 99665.2i 0.000766036 0.000349837i
\(659\) 1.80048e8 + 2.80160e8i 0.629117 + 0.978925i 0.998762 + 0.0497517i \(0.0158430\pi\)
−0.369645 + 0.929173i \(0.620521\pi\)
\(660\) −1.64456e8 4.82885e7i −0.572028 0.167962i
\(661\) −1.18949e8 + 1.71023e7i −0.411866 + 0.0592173i −0.345134 0.938554i \(-0.612166\pi\)
−0.0667321 + 0.997771i \(0.521257\pi\)
\(662\) 812133. 1.77832e6i 0.00279932 0.00612966i
\(663\) 1.77941e8 + 2.55840e7i 0.610569 + 0.0877866i
\(664\) 2.22394e6 3.46052e6i 0.00759659 0.0118205i
\(665\) 4.34340e8 3.76358e8i 1.47695 1.27978i
\(666\) 187021.i 0.000633092i
\(667\) −3.35227e8 2.26180e8i −1.12969 0.762215i
\(668\) 2.98236e8 1.00053
\(669\) 4.72982e7 + 5.45850e7i 0.157967 + 0.182304i
\(670\) −1.32134e6 849176.i −0.00439331 0.00282341i
\(671\) 4.73331e7 3.29209e8i 0.156674 1.08969i
\(672\) 3.66251e6 + 1.67261e6i 0.0120690 + 0.00551172i
\(673\) −1.52900e7 1.06344e8i −0.0501606 0.348875i −0.999410 0.0343500i \(-0.989064\pi\)
0.949249 0.314525i \(-0.101845\pi\)
\(674\) −585256. + 1.99320e6i −0.00191146 + 0.00650985i
\(675\) 1.86963e7 1.20154e7i 0.0607916 0.0390684i
\(676\) 6.12294e7 + 1.34074e8i 0.198207 + 0.434014i
\(677\) 1.28782e8 + 4.38591e8i 0.415039 + 1.41349i 0.856469 + 0.516198i \(0.172653\pi\)
−0.441430 + 0.897296i \(0.645529\pi\)
\(678\) 918293. + 795706.i 0.00294640 + 0.00255307i
\(679\) −3.68707e8 + 4.25511e8i −1.17780 + 1.35926i
\(680\) −3.24622e6 + 953175.i −0.0103241 + 0.00303142i
\(681\) 2.86865e8 1.31007e8i 0.908315 0.414814i
\(682\) 1.42089e6 + 2.21094e6i 0.00447926 + 0.00696986i
\(683\) −1.94548e8 5.71245e7i −0.610611 0.179292i −0.0382159 0.999270i \(-0.512167\pi\)
−0.572395 + 0.819978i \(0.693986\pi\)
\(684\) 1.57045e8 2.25796e7i 0.490743 0.0705583i
\(685\) −1.04973e8 + 2.29858e8i −0.326592 + 0.715136i
\(686\) 1.87079e6 + 268979.i 0.00579500 + 0.000833195i
\(687\) −4.29884e7 + 6.68913e7i −0.132581 + 0.206300i
\(688\) 3.80131e8 3.29385e8i 1.16726 1.01144i
\(689\) 2.14115e8i 0.654621i
\(690\) 360287. + 589165.i 0.00109673 + 0.00179345i
\(691\) 1.48086e8 0.448828 0.224414 0.974494i \(-0.427953\pi\)
0.224414 + 0.974494i \(0.427953\pi\)
\(692\) −1.72869e8 1.99502e8i −0.521674 0.602044i
\(693\) −2.02754e8 1.30302e8i −0.609215 0.391518i
\(694\) −176701. + 1.22898e6i −0.000528639 + 0.00367677i
\(695\) −8.86781e6 4.04979e6i −0.0264157 0.0120636i
\(696\) 347886. + 2.41960e6i 0.00103183 + 0.00717656i
\(697\) −1.04007e8 + 3.54216e8i −0.307160 + 1.04609i
\(698\) 415170. 266814.i 0.00122084 0.000784588i
\(699\) −1.06009e8 2.32128e8i −0.310393 0.679667i
\(700\) −6.03268e7 2.05454e8i −0.175880 0.598992i
\(701\) 9.08598e7 + 7.87304e7i 0.263765 + 0.228554i 0.776695 0.629877i \(-0.216895\pi\)
−0.512930 + 0.858430i \(0.671440\pi\)
\(702\) −145257. + 167636.i −0.000419881 + 0.000484569i
\(703\) −2.04388e8 + 6.00138e7i −0.588288 + 0.172737i
\(704\) −4.14671e8 + 1.89374e8i −1.18846 + 0.542753i
\(705\) 9.50193e6 + 1.47853e7i 0.0271172 + 0.0421952i
\(706\) −670949. 197008.i −0.00190667 0.000559848i
\(707\) 3.72802e8 5.36009e7i 1.05492 0.151675i
\(708\) −5.34282e7 + 1.16991e8i −0.150546 + 0.329651i
\(709\) −5.21109e7 7.49241e6i −0.146214 0.0210224i 0.0688190 0.997629i \(-0.478077\pi\)
−0.215033 + 0.976607i \(0.568986\pi\)
\(710\) 971359. 1.51146e6i 0.00271397 0.00422302i
\(711\) 9.48662e7 8.22020e7i 0.263938 0.228704i
\(712\) 2.67480e6i 0.00741056i
\(713\) −8.20025e7 + 4.92009e8i −0.226234 + 1.35739i
\(714\) −2.37869e6 −0.00653495
\(715\) −1.78733e8 2.06269e8i −0.488974 0.564307i
\(716\) −1.65429e8 1.06314e8i −0.450683 0.289636i
\(717\) −2.26812e7 + 1.57751e8i −0.0615331 + 0.427972i
\(718\) −405058. 184984.i −0.00109432 0.000499759i
\(719\) −8.85119e6 6.15614e7i −0.0238130 0.165623i 0.974445 0.224628i \(-0.0721165\pi\)
−0.998258 + 0.0590042i \(0.981207\pi\)
\(720\) −2.76984e7 + 9.43322e7i −0.0742092 + 0.252733i
\(721\) 9.25181e7 5.94578e7i 0.246843 0.158636i
\(722\) 873361. + 1.91239e6i 0.00232050 + 0.00508119i
\(723\) −5.46030e6 1.85961e7i −0.0144478 0.0492047i
\(724\) −1.54853e8 1.34181e8i −0.408042 0.353570i
\(725\) 1.27699e8 1.47373e8i 0.335100 0.386727i
\(726\) −690973. + 202888.i −0.00180572 + 0.000530208i
\(727\) 5.22053e8 2.38414e8i 1.35866 0.620480i 0.403069 0.915170i \(-0.367943\pi\)
0.955593 + 0.294689i \(0.0952162\pi\)
\(728\) 2.31088e6 + 3.59580e6i 0.00598940 + 0.00931968i
\(729\) −1.37677e7 4.04255e6i −0.0355368 0.0104345i
\(730\) −1.79684e6 + 258347.i −0.00461894 + 0.000664103i
\(731\) −3.70338e8 + 8.10927e8i −0.948083 + 2.07601i
\(732\) −1.88839e8 2.71510e7i −0.481458 0.0692232i
\(733\) −1.83901e8 + 2.86156e8i −0.466952 + 0.726591i −0.992241 0.124333i \(-0.960321\pi\)
0.525289 + 0.850924i \(0.323957\pi\)
\(734\) −751777. + 651418.i −0.00190108 + 0.00164730i
\(735\) 3.19619e8i 0.804954i
\(736\) 5.25150e6 + 1.67034e6i 0.0131719 + 0.00418958i
\(737\) 7.50249e8 1.87414
\(738\) −298294. 344250.i −0.000742123 0.000856456i
\(739\) 5.10744e8 + 3.28235e8i 1.26552 + 0.813303i 0.989030 0.147713i \(-0.0471913\pi\)
0.276493 + 0.961016i \(0.410828\pi\)
\(740\) 1.87856e7 1.30657e8i 0.0463587 0.322432i
\(741\) 2.29816e8 + 1.04953e8i 0.564840 + 0.257954i
\(742\) −403196. 2.80429e6i −0.000986971 0.00686454i
\(743\) 1.42299e8 4.84627e8i 0.346926 1.18152i −0.582599 0.812760i \(-0.697964\pi\)
0.929525 0.368760i \(-0.120218\pi\)
\(744\) 2.53648e6 1.63010e6i 0.00615905 0.00395818i
\(745\) 1.92880e8 + 4.22349e8i 0.466465 + 1.02142i
\(746\) 49834.7 + 169721.i 0.000120037 + 0.000408809i
\(747\) 1.60116e8 + 1.38742e8i 0.384126 + 0.332847i
\(748\) 5.29135e8 6.10654e8i 1.26433 1.45912i
\(749\) −5.43830e8 + 1.59683e8i −1.29425 + 0.380026i
\(750\) −1.10964e6 + 506757.i −0.00263027 + 0.00120120i
\(751\) 2.38361e8 + 3.70896e8i 0.562749 + 0.875655i 0.999716 0.0238229i \(-0.00758378\pi\)
−0.436967 + 0.899477i \(0.643947\pi\)
\(752\) 4.48533e7 + 1.31701e7i 0.105473 + 0.0309697i
\(753\) −2.07182e8 + 2.97882e7i −0.485251 + 0.0697686i
\(754\) −808506. + 1.77038e6i −0.00188612 + 0.00413002i
\(755\) 2.69889e8 + 3.88042e7i 0.627111 + 0.0901650i
\(756\) −7.47433e7 + 1.16303e8i −0.172984 + 0.269169i
\(757\) 1.97639e8 1.71255e8i 0.455601 0.394780i −0.396603 0.917990i \(-0.629811\pi\)
0.852204 + 0.523210i \(0.175266\pi\)
\(758\) 3.43815e6i 0.00789436i
\(759\) −2.96921e8 1.43704e8i −0.679072 0.328657i
\(760\) −4.75479e6 −0.0108315
\(761\) −5.17370e8 5.97077e8i −1.17394 1.35480i −0.922060 0.387046i \(-0.873496\pi\)
−0.251883 0.967758i \(-0.581050\pi\)
\(762\) 931300. + 598510.i 0.00210487 + 0.00135272i
\(763\) 1.21766e8 8.46899e8i 0.274127 1.90659i
\(764\) 2.36942e8 + 1.08208e8i 0.531328