Properties

Label 69.7.f.a.7.19
Level $69$
Weight $7$
Character 69.7
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 7.19
Character \(\chi\) \(=\) 69.7
Dual form 69.7.f.a.10.19

$q$-expansion

\(f(q)\) \(=\) \(q+(6.08888 - 7.02694i) q^{2} +(-13.1138 + 8.42776i) q^{3} +(-3.19530 - 22.2238i) q^{4} +(-77.8070 + 35.5333i) q^{5} +(-20.6273 + 143.466i) q^{6} +(-42.4272 - 144.494i) q^{7} +(324.984 + 208.854i) q^{8} +(100.946 - 221.041i) q^{9} +O(q^{10})\) \(q+(6.08888 - 7.02694i) q^{2} +(-13.1138 + 8.42776i) q^{3} +(-3.19530 - 22.2238i) q^{4} +(-77.8070 + 35.5333i) q^{5} +(-20.6273 + 143.466i) q^{6} +(-42.4272 - 144.494i) q^{7} +(324.984 + 208.854i) q^{8} +(100.946 - 221.041i) q^{9} +(-224.067 + 763.103i) q^{10} +(1462.85 - 1267.56i) q^{11} +(229.200 + 264.510i) q^{12} +(2669.61 + 783.867i) q^{13} +(-1273.68 - 581.672i) q^{14} +(720.884 - 1121.72i) q^{15} +(4825.14 - 1416.79i) q^{16} +(481.163 + 69.1808i) q^{17} +(-938.592 - 2055.23i) q^{18} +(5243.53 - 753.906i) q^{19} +(1038.30 + 1615.63i) q^{20} +(1774.14 + 1537.30i) q^{21} -17997.4i q^{22} +(8123.32 + 9058.01i) q^{23} -6021.96 q^{24} +(-5440.88 + 6279.11i) q^{25} +(21763.1 - 13986.3i) q^{26} +(539.088 + 3749.44i) q^{27} +(-3075.64 + 1404.60i) q^{28} +(3330.89 - 23166.8i) q^{29} +(-3492.86 - 11895.6i) q^{30} +(450.660 + 289.621i) q^{31} +(9153.37 - 20043.1i) q^{32} +(-8500.83 + 28951.2i) q^{33} +(3415.87 - 2959.87i) q^{34} +(8435.48 + 9735.06i) q^{35} +(-5234.92 - 1537.11i) q^{36} +(-70634.7 - 32257.8i) q^{37} +(26629.6 - 41436.4i) q^{38} +(-41615.0 + 12219.3i) q^{39} +(-32707.3 - 4702.60i) q^{40} +(-5198.93 - 11384.1i) q^{41} +(21605.1 - 3106.34i) q^{42} +(14154.6 + 22025.0i) q^{43} +(-32844.4 - 28459.8i) q^{44} +20785.5i q^{45} +(113112. - 1928.99i) q^{46} +124060. q^{47} +(-51335.8 + 59244.6i) q^{48} +(79894.2 - 51344.9i) q^{49} +(10994.1 + 76465.4i) q^{50} +(-6892.94 + 3147.90i) q^{51} +(8890.32 - 61833.5i) q^{52} +(54702.2 + 186299. i) q^{53} +(29629.5 + 19041.7i) q^{54} +(-68779.1 + 150605. i) q^{55} +(16390.0 - 55819.3i) q^{56} +(-62409.1 + 54077.8i) q^{57} +(-142511. - 164466. i) q^{58} +(217347. + 63818.9i) q^{59} +(-27232.3 - 12436.6i) q^{60} +(12222.6 - 19018.7i) q^{61} +(4779.17 - 1403.29i) q^{62} +(-36221.9 - 5207.92i) q^{63} +(48591.8 + 106401. i) q^{64} +(-235567. + 33869.5i) q^{65} +(151678. + 236015. i) q^{66} +(-387062. - 335391. i) q^{67} -10914.3i q^{68} +(-182867. - 50323.9i) q^{69} +119770. q^{70} +(-373104. + 430585. i) q^{71} +(78971.1 - 50751.6i) q^{72} +(24071.5 + 167421. i) q^{73} +(-656760. + 299932. i) q^{74} +(18432.0 - 128198. i) q^{75} +(-33509.3 - 114122. i) q^{76} +(-245220. - 157593. i) q^{77} +(-167525. + 366828. i) q^{78} +(185517. - 631812. i) q^{79} +(-325087. + 281689. i) q^{80} +(-38668.9 - 44626.3i) q^{81} +(-111651. - 32783.7i) q^{82} +(-198281. - 90551.9i) q^{83} +(28495.8 - 44340.4i) q^{84} +(-39896.1 + 11714.6i) q^{85} +(240954. + 34643.9i) q^{86} +(151564. + 331878. i) q^{87} +(740138. - 106416. i) q^{88} +(191338. + 297728. i) q^{89} +(146058. + 126560. i) q^{90} -418999. i q^{91} +(175347. - 209474. i) q^{92} -8350.74 q^{93} +(755384. - 871759. i) q^{94} +(-381195. + 244979. i) q^{95} +(48882.3 + 339984. i) q^{96} +(85156.8 - 38889.8i) q^{97} +(125669. - 874045. i) q^{98} +(-132515. - 451304. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 20q^{2} - 816q^{4} + 324q^{6} + 940q^{8} - 5832q^{9} + O(q^{10}) \) \( 240q + 20q^{2} - 816q^{4} + 324q^{6} + 940q^{8} - 5832q^{9} - 384q^{13} + 33816q^{16} + 22880q^{17} + 4860q^{18} - 31680q^{19} - 157696q^{20} + 36488q^{23} + 39204q^{24} + 200664q^{25} + 99032q^{26} - 202752q^{28} - 181712q^{29} - 128496q^{31} + 439300q^{32} - 400026q^{34} + 368744q^{35} + 42282q^{36} + 446688q^{37} + 550550q^{38} - 52488q^{39} - 156750q^{40} - 606080q^{41} - 1274130q^{42} - 429000q^{43} - 867482q^{44} + 309288q^{46} + 1111152q^{47} + 837864q^{48} + 722136q^{49} + 1786926q^{50} + 463320q^{51} - 812550q^{52} - 367840q^{53} - 354294q^{54} - 398088q^{55} - 3696550q^{56} - 1240272q^{57} + 1903134q^{58} + 545800q^{59} + 2450250q^{60} - 495264q^{61} + 488776q^{62} - 2699808q^{64} - 290400q^{67} + 23328q^{69} - 392616q^{70} + 255392q^{71} + 228420q^{72} + 1346880q^{73} - 5387470q^{74} + 365472q^{75} + 2123022q^{76} + 6134240q^{77} + 171072q^{78} + 4025472q^{79} + 10626462q^{80} - 1417176q^{81} + 2025492q^{82} - 2474560q^{83} - 8866152q^{85} - 15634300q^{86} - 611712q^{87} - 10636560q^{88} - 5901720q^{89} + 6566394q^{92} - 2484432q^{93} + 13931490q^{94} + 8183072q^{95} - 4682124q^{96} + 12319560q^{97} + 14139580q^{98} + 2993760q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(28\) \(47\)
\(\chi(n)\) \(e\left(\frac{19}{22}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 6.08888 7.02694i 0.761110 0.878368i −0.234486 0.972120i \(-0.575341\pi\)
0.995596 + 0.0937519i \(0.0298861\pi\)
\(3\) −13.1138 + 8.42776i −0.485698 + 0.312139i
\(4\) −3.19530 22.2238i −0.0499266 0.347247i
\(5\) −77.8070 + 35.5333i −0.622456 + 0.284266i −0.701571 0.712599i \(-0.747518\pi\)
0.0791150 + 0.996865i \(0.474791\pi\)
\(6\) −20.6273 + 143.466i −0.0954966 + 0.664194i
\(7\) −42.4272 144.494i −0.123695 0.421265i 0.874241 0.485493i \(-0.161360\pi\)
−0.997935 + 0.0642278i \(0.979542\pi\)
\(8\) 324.984 + 208.854i 0.634734 + 0.407919i
\(9\) 100.946 221.041i 0.138472 0.303211i
\(10\) −224.067 + 763.103i −0.224067 + 0.763103i
\(11\) 1462.85 1267.56i 1.09906 0.952340i 0.0999688 0.994991i \(-0.468126\pi\)
0.999090 + 0.0426507i \(0.0135803\pi\)
\(12\) 229.200 + 264.510i 0.132639 + 0.153073i
\(13\) 2669.61 + 783.867i 1.21511 + 0.356790i 0.825613 0.564236i \(-0.190829\pi\)
0.389501 + 0.921026i \(0.372648\pi\)
\(14\) −1273.68 581.672i −0.464171 0.211980i
\(15\) 720.884 1121.72i 0.213595 0.332361i
\(16\) 4825.14 1416.79i 1.17801 0.345896i
\(17\) 481.163 + 69.1808i 0.0979368 + 0.0140812i 0.191109 0.981569i \(-0.438792\pi\)
−0.0931722 + 0.995650i \(0.529701\pi\)
\(18\) −938.592 2055.23i −0.160938 0.352406i
\(19\) 5243.53 753.906i 0.764475 0.109915i 0.250962 0.967997i \(-0.419253\pi\)
0.513513 + 0.858082i \(0.328344\pi\)
\(20\) 1038.30 + 1615.63i 0.129788 + 0.201954i
\(21\) 1774.14 + 1537.30i 0.191571 + 0.165998i
\(22\) 17997.4i 1.69021i
\(23\) 8123.32 + 9058.01i 0.667652 + 0.744473i
\(24\) −6021.96 −0.435616
\(25\) −5440.88 + 6279.11i −0.348216 + 0.401863i
\(26\) 21763.1 13986.3i 1.23823 0.795761i
\(27\) 539.088 + 3749.44i 0.0273885 + 0.190491i
\(28\) −3075.64 + 1404.60i −0.140107 + 0.0639849i
\(29\) 3330.89 23166.8i 0.136573 0.949889i −0.800145 0.599806i \(-0.795244\pi\)
0.936719 0.350083i \(-0.113847\pi\)
\(30\) −3492.86 11895.6i −0.129365 0.440578i
\(31\) 450.660 + 289.621i 0.0151274 + 0.00972178i 0.548183 0.836359i \(-0.315320\pi\)
−0.533055 + 0.846080i \(0.678956\pi\)
\(32\) 9153.37 20043.1i 0.279339 0.611666i
\(33\) −8500.83 + 28951.2i −0.236548 + 0.805609i
\(34\) 3415.87 2959.87i 0.0869091 0.0753072i
\(35\) 8435.48 + 9735.06i 0.196746 + 0.227057i
\(36\) −5234.92 1537.11i −0.112202 0.0329456i
\(37\) −70634.7 32257.8i −1.39448 0.636839i −0.430448 0.902615i \(-0.641644\pi\)
−0.964035 + 0.265777i \(0.914372\pi\)
\(38\) 26629.6 41436.4i 0.485304 0.755147i
\(39\) −41615.0 + 12219.3i −0.701546 + 0.205993i
\(40\) −32707.3 4702.60i −0.511052 0.0734782i
\(41\) −5198.93 11384.1i −0.0754332 0.165176i 0.868158 0.496287i \(-0.165304\pi\)
−0.943592 + 0.331111i \(0.892576\pi\)
\(42\) 21605.1 3106.34i 0.291614 0.0419277i
\(43\) 14154.6 + 22025.0i 0.178029 + 0.277019i 0.918787 0.394753i \(-0.129170\pi\)
−0.740758 + 0.671772i \(0.765533\pi\)
\(44\) −32844.4 28459.8i −0.385570 0.334098i
\(45\) 20785.5i 0.228098i
\(46\) 113112. 1928.99i 1.16208 0.0198179i
\(47\) 124060. 1.19491 0.597457 0.801901i \(-0.296178\pi\)
0.597457 + 0.801901i \(0.296178\pi\)
\(48\) −51335.8 + 59244.6i −0.464191 + 0.535705i
\(49\) 79894.2 51344.9i 0.679090 0.436424i
\(50\) 10994.1 + 76465.4i 0.0879526 + 0.611724i
\(51\) −6892.94 + 3147.90i −0.0519630 + 0.0237307i
\(52\) 8890.32 61833.5i 0.0632277 0.439758i
\(53\) 54702.2 + 186299.i 0.367432 + 1.25136i 0.911144 + 0.412088i \(0.135200\pi\)
−0.543712 + 0.839272i \(0.682982\pi\)
\(54\) 29629.5 + 19041.7i 0.188167 + 0.120928i
\(55\) −68779.1 + 150605.i −0.413398 + 0.905215i
\(56\) 16390.0 55819.3i 0.0933288 0.317849i
\(57\) −62409.1 + 54077.8i −0.336995 + 0.292008i
\(58\) −142511. 164466.i −0.730404 0.842931i
\(59\) 217347. + 63818.9i 1.05827 + 0.310737i 0.764156 0.645032i \(-0.223156\pi\)
0.294118 + 0.955769i \(0.404974\pi\)
\(60\) −27232.3 12436.6i −0.126075 0.0575767i
\(61\) 12222.6 19018.7i 0.0538485 0.0837898i −0.813285 0.581865i \(-0.802323\pi\)
0.867134 + 0.498075i \(0.165960\pi\)
\(62\) 4779.17 1403.29i 0.0200529 0.00588806i
\(63\) −36221.9 5207.92i −0.144860 0.0208278i
\(64\) 48591.8 + 106401.i 0.185363 + 0.405889i
\(65\) −235567. + 33869.5i −0.857779 + 0.123330i
\(66\) 151678. + 236015.i 0.527582 + 0.820933i
\(67\) −387062. 335391.i −1.28693 1.11513i −0.986922 0.161198i \(-0.948464\pi\)
−0.300011 0.953936i \(-0.596990\pi\)
\(68\) 10914.3i 0.0347113i
\(69\) −182867. 50323.9i −0.556657 0.153189i
\(70\) 119770. 0.349185
\(71\) −373104. + 430585.i −1.04245 + 1.20305i −0.0637044 + 0.997969i \(0.520291\pi\)
−0.978745 + 0.205082i \(0.934254\pi\)
\(72\) 78971.1 50751.6i 0.211578 0.135973i
\(73\) 24071.5 + 167421.i 0.0618778 + 0.430370i 0.997087 + 0.0762738i \(0.0243023\pi\)
−0.935209 + 0.354096i \(0.884789\pi\)
\(74\) −656760. + 299932.i −1.62073 + 0.740164i
\(75\) 18432.0 128198.i 0.0436908 0.303876i
\(76\) −33509.3 114122.i −0.0763353 0.259974i
\(77\) −245220. 157593.i −0.537135 0.345196i
\(78\) −167525. + 366828.i −0.353017 + 0.772999i
\(79\) 185517. 631812.i 0.376272 1.28147i −0.526069 0.850442i \(-0.676335\pi\)
0.902341 0.431023i \(-0.141847\pi\)
\(80\) −325087. + 281689.i −0.634935 + 0.550174i
\(81\) −38668.9 44626.3i −0.0727623 0.0839722i
\(82\) −111651. 32783.7i −0.202498 0.0594588i
\(83\) −198281. 90551.9i −0.346774 0.158366i 0.234411 0.972137i \(-0.424684\pi\)
−0.581186 + 0.813771i \(0.697411\pi\)
\(84\) 28495.8 44340.4i 0.0480777 0.0748103i
\(85\) −39896.1 + 11714.6i −0.0649642 + 0.0190752i
\(86\) 240954. + 34643.9i 0.378824 + 0.0544667i
\(87\) 151564. + 331878.i 0.230164 + 0.503989i
\(88\) 740138. 106416.i 1.08609 0.156156i
\(89\) 191338. + 297728.i 0.271414 + 0.422328i 0.950027 0.312168i \(-0.101055\pi\)
−0.678613 + 0.734496i \(0.737419\pi\)
\(90\) 146058. + 126560.i 0.200354 + 0.173608i
\(91\) 418999.i 0.556018i
\(92\) 175347. 209474.i 0.225183 0.269009i
\(93\) −8350.74 −0.0103819
\(94\) 755384. 871759.i 0.909461 1.04957i
\(95\) −381195. + 244979.i −0.444607 + 0.285732i
\(96\) 48882.3 + 339984.i 0.0552508 + 0.384278i
\(97\) 85156.8 38889.8i 0.0933049 0.0426109i −0.368216 0.929740i \(-0.620031\pi\)
0.461521 + 0.887129i \(0.347304\pi\)
\(98\) 125669. 874045.i 0.133521 0.928657i
\(99\) −132515. 451304.i −0.136571 0.465118i
\(100\) 156931. + 100853.i 0.156931 + 0.100853i
\(101\) 606019. 1.32700e6i 0.588196 1.28797i −0.348330 0.937372i \(-0.613251\pi\)
0.936526 0.350597i \(-0.114021\pi\)
\(102\) −19850.2 + 67603.5i −0.0187053 + 0.0637043i
\(103\) 1.00310e6 869190.i 0.917978 0.795432i −0.0612654 0.998122i \(-0.519514\pi\)
0.979243 + 0.202689i \(0.0649681\pi\)
\(104\) 703865. + 812303.i 0.625733 + 0.722134i
\(105\) −192666. 56571.9i −0.166432 0.0488690i
\(106\) 1.64218e6 + 749961.i 1.37881 + 0.629681i
\(107\) −715751. + 1.11373e6i −0.584266 + 0.909136i −1.00000 0.000350571i \(-0.999888\pi\)
0.415734 + 0.909486i \(0.363525\pi\)
\(108\) 81604.3 23961.2i 0.0647801 0.0190212i
\(109\) −1.06890e6 153684.i −0.825383 0.118672i −0.283337 0.959021i \(-0.591441\pi\)
−0.542047 + 0.840348i \(0.682350\pi\)
\(110\) 639506. + 1.40032e6i 0.480471 + 1.05208i
\(111\) 1.19815e6 172268.i 0.876080 0.125961i
\(112\) −409435. 637093.i −0.291427 0.453470i
\(113\) 494084. + 428127.i 0.342425 + 0.296713i 0.809047 0.587744i \(-0.199984\pi\)
−0.466622 + 0.884457i \(0.654529\pi\)
\(114\) 767819.i 0.518256i
\(115\) −953913. 416129.i −0.627213 0.273611i
\(116\) −525499. −0.336665
\(117\) 442752. 510963.i 0.276441 0.319030i
\(118\) 1.77185e6 1.13870e6i 1.07840 0.693048i
\(119\) −10418.2 72460.3i −0.00618234 0.0429991i
\(120\) 468551. 213980.i 0.271152 0.123831i
\(121\) 281083. 1.95498e6i 0.158664 1.10353i
\(122\) −59221.5 201690.i −0.0326137 0.111072i
\(123\) 164120. + 105474.i 0.0881956 + 0.0566799i
\(124\) 4996.50 10940.8i 0.00262060 0.00573831i
\(125\) 576761. 1.96427e6i 0.295301 1.00570i
\(126\) −257146. + 222819.i −0.128549 + 0.111388i
\(127\) −1.05629e6 1.21903e6i −0.515671 0.595116i 0.436871 0.899524i \(-0.356087\pi\)
−0.952542 + 0.304408i \(0.901541\pi\)
\(128\) 2.39662e6 + 703710.i 1.14280 + 0.335555i
\(129\) −371242. 169540.i −0.172937 0.0789777i
\(130\) −1.19634e6 + 1.86155e6i −0.544535 + 0.847313i
\(131\) −4.15845e6 + 1.22103e6i −1.84977 + 0.543142i −0.849902 + 0.526941i \(0.823339\pi\)
−0.999869 + 0.0162004i \(0.994843\pi\)
\(132\) 670568. + 96413.1i 0.291555 + 0.0419193i
\(133\) −331403. 725672.i −0.140865 0.308451i
\(134\) −4.71355e6 + 677706.i −1.95900 + 0.281661i
\(135\) −175175. 272577.i −0.0711984 0.110787i
\(136\) 141922. + 122976.i 0.0564198 + 0.0488880i
\(137\) 735166.i 0.285906i −0.989729 0.142953i \(-0.954340\pi\)
0.989729 0.142953i \(-0.0456598\pi\)
\(138\) −1.46708e6 + 978577.i −0.558233 + 0.372355i
\(139\) 1.12144e6 0.417572 0.208786 0.977961i \(-0.433049\pi\)
0.208786 + 0.977961i \(0.433049\pi\)
\(140\) 189396. 218575.i 0.0690220 0.0796556i
\(141\) −1.62690e6 + 1.04554e6i −0.580367 + 0.372979i
\(142\) 753910. + 5.24356e6i 0.263302 + 1.83131i
\(143\) 4.89883e6 2.23722e6i 1.67527 0.765069i
\(144\) 173910. 1.20957e6i 0.0582421 0.405083i
\(145\) 564027. + 1.92090e6i 0.185010 + 0.630088i
\(146\) 1.32303e6 + 850258.i 0.425119 + 0.273207i
\(147\) −614998. + 1.34666e6i −0.193607 + 0.423941i
\(148\) −491192. + 1.67285e6i −0.151519 + 0.516025i
\(149\) 29425.9 25497.7i 0.00889552 0.00770801i −0.650402 0.759590i \(-0.725399\pi\)
0.659297 + 0.751882i \(0.270854\pi\)
\(150\) −788607. 910101.i −0.233661 0.269659i
\(151\) −5.55411e6 1.63083e6i −1.61318 0.473674i −0.654009 0.756487i \(-0.726914\pi\)
−0.959175 + 0.282813i \(0.908732\pi\)
\(152\) 1.86152e6 + 850128.i 0.530075 + 0.242077i
\(153\) 63863.2 99373.1i 0.0178310 0.0277456i
\(154\) −2.60051e6 + 763579.i −0.712028 + 0.209070i
\(155\) −45355.7 6521.17i −0.0121797 0.00175118i
\(156\) 404532. + 885801.i 0.106556 + 0.233325i
\(157\) −3.86920e6 + 556307.i −0.999821 + 0.143753i −0.622741 0.782428i \(-0.713981\pi\)
−0.377080 + 0.926181i \(0.623072\pi\)
\(158\) −3.31012e6 5.15064e6i −0.839213 1.30584i
\(159\) −2.28744e6 1.98207e6i −0.569059 0.493093i
\(160\) 1.88474e6i 0.460142i
\(161\) 964177. 1.55808e6i 0.231036 0.373346i
\(162\) −549036. −0.129139
\(163\) −1.76157e6 + 2.03296e6i −0.406759 + 0.469425i −0.921758 0.387766i \(-0.873247\pi\)
0.514999 + 0.857191i \(0.327792\pi\)
\(164\) −236385. + 151916.i −0.0535907 + 0.0344406i
\(165\) −367306. 2.55467e6i −0.0817666 0.568699i
\(166\) −1.84361e6 + 841949.i −0.403037 + 0.184061i
\(167\) −596777. + 4.15067e6i −0.128133 + 0.891187i 0.819784 + 0.572672i \(0.194093\pi\)
−0.947918 + 0.318515i \(0.896816\pi\)
\(168\) 255495. + 870137.i 0.0538834 + 0.183510i
\(169\) 2.45178e6 + 1.57566e6i 0.507950 + 0.326439i
\(170\) −160605. + 351676.i −0.0326898 + 0.0715807i
\(171\) 362669. 1.23514e6i 0.0725307 0.247017i
\(172\) 444250. 384945.i 0.0873057 0.0756508i
\(173\) 1.86679e6 + 2.15439e6i 0.360542 + 0.416088i 0.906821 0.421515i \(-0.138502\pi\)
−0.546279 + 0.837603i \(0.683956\pi\)
\(174\) 3.25494e6 + 955737.i 0.617868 + 0.181422i
\(175\) 1.13813e6 + 519768.i 0.212363 + 0.0969830i
\(176\) 5.26257e6 8.18872e6i 0.965295 1.50203i
\(177\) −3.38811e6 + 994838.i −0.610995 + 0.179404i
\(178\) 3.25716e6 + 468308.i 0.577535 + 0.0830370i
\(179\) 3.26430e6 + 7.14783e6i 0.569156 + 1.24628i 0.947246 + 0.320509i \(0.103854\pi\)
−0.378089 + 0.925769i \(0.623419\pi\)
\(180\) 461932. 66415.8i 0.0792065 0.0113882i
\(181\) 1.60223e6 + 2.49312e6i 0.270203 + 0.420444i 0.949665 0.313267i \(-0.101423\pi\)
−0.679463 + 0.733710i \(0.737787\pi\)
\(182\) −2.94428e6 2.55123e6i −0.488388 0.423191i
\(183\) 352417.i 0.0575048i
\(184\) 748143. + 4.64030e6i 0.120097 + 0.744891i
\(185\) 6.64210e6 1.04904
\(186\) −50846.7 + 58680.2i −0.00790175 + 0.00911911i
\(187\) 791560. 508704.i 0.121048 0.0777930i
\(188\) −396408. 2.75708e6i −0.0596580 0.414931i
\(189\) 518899. 236973.i 0.0768595 0.0351005i
\(190\) −599596. + 4.17028e6i −0.0874174 + 0.608002i
\(191\) −467193. 1.59111e6i −0.0670496 0.228350i 0.919151 0.393906i \(-0.128876\pi\)
−0.986200 + 0.165556i \(0.947058\pi\)
\(192\) −1.53395e6 985810.i −0.216724 0.139280i
\(193\) −1.39240e6 + 3.04892e6i −0.193683 + 0.424106i −0.981411 0.191917i \(-0.938530\pi\)
0.787729 + 0.616023i \(0.211257\pi\)
\(194\) 245233. 835187.i 0.0335872 0.114388i
\(195\) 2.80375e6 2.42946e6i 0.378125 0.327647i
\(196\) −1.39637e6 1.61149e6i −0.185452 0.214023i
\(197\) 969873. + 284780.i 0.126857 + 0.0372487i 0.344545 0.938770i \(-0.388033\pi\)
−0.217688 + 0.976019i \(0.569851\pi\)
\(198\) −3.97815e6 1.81676e6i −0.512491 0.234047i
\(199\) −5.10852e6 + 7.94901e6i −0.648240 + 1.00868i 0.349191 + 0.937052i \(0.386456\pi\)
−0.997431 + 0.0716299i \(0.977180\pi\)
\(200\) −3.07962e6 + 904257.i −0.384952 + 0.113032i
\(201\) 7.90246e6 + 1.13620e6i 0.973138 + 0.139916i
\(202\) −5.63475e6 1.23384e7i −0.683629 1.49694i
\(203\) −3.48879e6 + 501612.i −0.417048 + 0.0599625i
\(204\) 91983.4 + 143129.i 0.0108347 + 0.0168592i
\(205\) 809027. + 701026.i 0.0939078 + 0.0813716i
\(206\) 1.23411e7i 1.41173i
\(207\) 2.82220e6 881216.i 0.318183 0.0993507i
\(208\) 1.39918e7 1.55483
\(209\) 6.71486e6 7.74936e6i 0.735526 0.848843i
\(210\) −1.57065e6 + 1.00940e6i −0.169598 + 0.108994i
\(211\) −843073. 5.86370e6i −0.0897466 0.624201i −0.984203 0.177045i \(-0.943346\pi\)
0.894456 0.447156i \(-0.147563\pi\)
\(212\) 3.96548e6 1.81097e6i 0.416186 0.190066i
\(213\) 1.26396e6 8.79105e6i 0.130796 0.909708i
\(214\) 3.46800e6 + 1.18109e7i 0.353865 + 1.20515i
\(215\) −1.88394e6 1.21074e6i −0.189563 0.121825i
\(216\) −607892. + 1.33110e6i −0.0603205 + 0.132084i
\(217\) 22728.3 77405.4i 0.00222427 0.00757517i
\(218\) −7.58830e6 + 6.57530e6i −0.732445 + 0.634667i
\(219\) −1.72665e6 1.99267e6i −0.164389 0.189715i
\(220\) 3.56679e6 + 1.04730e6i 0.334973 + 0.0983569i
\(221\) 1.23029e6 + 561854.i 0.113980 + 0.0520531i
\(222\) 6.08489e6 9.46828e6i 0.556153 0.865390i
\(223\) −1.47490e7 + 4.33070e6i −1.32999 + 0.390520i −0.868088 0.496411i \(-0.834651\pi\)
−0.461902 + 0.886931i \(0.652833\pi\)
\(224\) −3.28445e6 472233.i −0.292226 0.0420158i
\(225\) 838703. + 1.83650e6i 0.0736310 + 0.161229i
\(226\) 6.01684e6 865091.i 0.521247 0.0749440i
\(227\) 1.97712e6 + 3.07646e6i 0.169027 + 0.263011i 0.915425 0.402489i \(-0.131855\pi\)
−0.746398 + 0.665500i \(0.768218\pi\)
\(228\) 1.40123e6 + 1.21417e6i 0.118224 + 0.102442i
\(229\) 1.77261e7i 1.47607i −0.674763 0.738035i \(-0.735754\pi\)
0.674763 0.738035i \(-0.264246\pi\)
\(230\) −8.73237e6 + 4.16933e6i −0.717709 + 0.342675i
\(231\) 4.54393e6 0.368634
\(232\) 5.92098e6 6.83318e6i 0.474165 0.547216i
\(233\) −413989. + 266054.i −0.0327281 + 0.0210331i −0.556903 0.830578i \(-0.688010\pi\)
0.524174 + 0.851611i \(0.324374\pi\)
\(234\) −894644. 6.22238e6i −0.0698237 0.485634i
\(235\) −9.65271e6 + 4.40824e6i −0.743782 + 0.339674i
\(236\) 723809. 5.03420e6i 0.0550666 0.382997i
\(237\) 2.89192e6 + 9.84898e6i 0.217241 + 0.739854i
\(238\) −572610. 367994.i −0.0424744 0.0272967i
\(239\) −9.16181e6 + 2.00616e7i −0.671100 + 1.46950i 0.200705 + 0.979652i \(0.435677\pi\)
−0.871805 + 0.489853i \(0.837050\pi\)
\(240\) 1.88913e6 6.43378e6i 0.136656 0.465406i
\(241\) 4.00769e6 3.47268e6i 0.286314 0.248093i −0.499848 0.866113i \(-0.666611\pi\)
0.786162 + 0.618021i \(0.212065\pi\)
\(242\) −1.20260e7 1.38788e7i −0.848547 0.979276i
\(243\) 883197. + 259330.i 0.0615515 + 0.0180732i
\(244\) −461723. 210862.i −0.0317843 0.0145154i
\(245\) −4.39188e6 + 6.83390e6i −0.298643 + 0.464697i
\(246\) 1.74047e6 511047.i 0.116912 0.0343285i
\(247\) 1.45891e7 + 2.09760e6i 0.968141 + 0.139198i
\(248\) 85968.4 + 188245.i 0.00563617 + 0.0123415i
\(249\) 3.36338e6 483580.i 0.217860 0.0313235i
\(250\) −1.02910e7 1.60130e7i −0.658621 1.02483i
\(251\) 1.72868e7 + 1.49791e7i 1.09319 + 0.947251i 0.998833 0.0482880i \(-0.0153765\pi\)
0.0943523 + 0.995539i \(0.469922\pi\)
\(252\) 821629.i 0.0513422i
\(253\) 2.33648e7 + 2.95365e6i 1.44278 + 0.182388i
\(254\) −1.49977e7 −0.915213
\(255\) 424464. 489858.i 0.0255988 0.0295426i
\(256\) 1.32398e7 8.50873e6i 0.789156 0.507160i
\(257\) 335040. + 2.33026e6i 0.0197377 + 0.137279i 0.997308 0.0733327i \(-0.0233635\pi\)
−0.977570 + 0.210612i \(0.932454\pi\)
\(258\) −3.45180e6 + 1.57638e6i −0.200995 + 0.0917915i
\(259\) −1.66422e6 + 1.15749e7i −0.0957880 + 0.666220i
\(260\) 1.50542e6 + 5.12699e6i 0.0856520 + 0.291704i
\(261\) −4.78457e6 3.07486e6i −0.269105 0.172943i
\(262\) −1.67402e7 + 3.66559e7i −0.930801 + 2.03817i
\(263\) 8.23984e6 2.80623e7i 0.452951 1.54261i −0.344239 0.938882i \(-0.611863\pi\)
0.797190 0.603728i \(-0.206319\pi\)
\(264\) −8.80921e6 + 7.63322e6i −0.478768 + 0.414855i
\(265\) −1.08760e7 1.25516e7i −0.584430 0.674468i
\(266\) −7.11713e6 2.08978e6i −0.378146 0.111034i
\(267\) −5.01836e6 2.29181e6i −0.263650 0.120405i
\(268\) −6.21689e6 + 9.67367e6i −0.322975 + 0.502559i
\(269\) −1.56413e7 + 4.59269e6i −0.803553 + 0.235945i −0.657620 0.753350i \(-0.728437\pi\)
−0.145933 + 0.989294i \(0.546619\pi\)
\(270\) −2.98200e6 428747.i −0.151501 0.0217826i
\(271\) 9.34505e6 + 2.04628e7i 0.469541 + 1.02815i 0.985208 + 0.171363i \(0.0548170\pi\)
−0.515667 + 0.856789i \(0.672456\pi\)
\(272\) 2.41969e6 347900.i 0.120241 0.0172881i
\(273\) 3.53122e6 + 5.49469e6i 0.173555 + 0.270057i
\(274\) −5.16597e6 4.47634e6i −0.251131 0.217606i
\(275\) 1.60820e7i 0.773291i
\(276\) −534076. + 4.22480e6i −0.0254024 + 0.200946i
\(277\) 6.72028e6 0.316190 0.158095 0.987424i \(-0.449465\pi\)
0.158095 + 0.987424i \(0.449465\pi\)
\(278\) 6.82831e6 7.88029e6i 0.317818 0.366782i
\(279\) 109510. 70378.0i 0.00504246 0.00324059i
\(280\) 708184. + 4.92553e6i 0.0322606 + 0.224377i
\(281\) 1.42666e7 6.51536e6i 0.642988 0.293643i −0.0671102 0.997746i \(-0.521378\pi\)
0.710098 + 0.704103i \(0.248651\pi\)
\(282\) −2.55901e6 + 1.77983e7i −0.114110 + 0.793654i
\(283\) −735603. 2.50523e6i −0.0324552 0.110532i 0.941672 0.336531i \(-0.109254\pi\)
−0.974128 + 0.225999i \(0.927435\pi\)
\(284\) 1.07614e7 + 6.91595e6i 0.469802 + 0.301923i
\(285\) 2.93431e6 6.42524e6i 0.126757 0.277559i
\(286\) 1.41076e7 4.80459e7i 0.603051 2.05380i
\(287\) −1.42435e6 + 1.23421e6i −0.0602521 + 0.0522087i
\(288\) −3.50634e6 4.04653e6i −0.146783 0.169397i
\(289\) −2.29331e7 6.73376e6i −0.950100 0.278974i
\(290\) 1.69324e7 + 7.73275e6i 0.694262 + 0.317059i
\(291\) −788979. + 1.22768e6i −0.0320174 + 0.0498201i
\(292\) 3.64382e6 1.06992e6i 0.146355 0.0429738i
\(293\) 2.92589e7 + 4.20680e6i 1.16320 + 0.167243i 0.696758 0.717307i \(-0.254625\pi\)
0.466445 + 0.884550i \(0.345534\pi\)
\(294\) 5.71824e6 + 1.25212e7i 0.225020 + 0.492724i
\(295\) −1.91788e7 + 2.75750e6i −0.747061 + 0.107411i
\(296\) −1.62180e7 2.52356e7i −0.625347 0.973059i
\(297\) 5.54126e6 + 4.80153e6i 0.211514 + 0.183278i
\(298\) 362027.i 0.0136802i
\(299\) 1.45858e7 + 3.05489e7i 0.545653 + 1.14283i
\(300\) −2.90794e6 −0.107701
\(301\) 2.58193e6 2.97971e6i 0.0946771 0.109263i
\(302\) −4.52781e7 + 2.90985e7i −1.64387 + 1.05645i
\(303\) 3.23636e6 + 2.25094e7i 0.116340 + 0.809163i
\(304\) 2.42326e7 1.10667e7i 0.862542 0.393910i
\(305\) −275206. + 1.91410e6i −0.00969969 + 0.0674628i
\(306\) −309433. 1.05383e6i −0.0107995 0.0367797i
\(307\) 2.99895e7 + 1.92731e7i 1.03646 + 0.666094i 0.944110 0.329632i \(-0.106925\pi\)
0.0923535 + 0.995726i \(0.470561\pi\)
\(308\) −2.71877e6 + 5.95328e6i −0.0930509 + 0.203753i
\(309\) −5.82916e6 + 1.98523e7i −0.197574 + 0.672877i
\(310\) −321989. + 279005.i −0.0108083 + 0.00936542i
\(311\) −3.30316e7 3.81205e7i −1.09812 1.26729i −0.960943 0.276746i \(-0.910744\pi\)
−0.137173 0.990547i \(-0.543802\pi\)
\(312\) −1.60763e7 4.72042e6i −0.529324 0.155423i
\(313\) −4.26191e7 1.94635e7i −1.38986 0.634728i −0.426881 0.904308i \(-0.640388\pi\)
−0.962978 + 0.269580i \(0.913115\pi\)
\(314\) −1.96500e7 + 3.05759e7i −0.634706 + 0.987622i
\(315\) 3.00337e6 881869.i 0.0960898 0.0282145i
\(316\) −1.46341e7 2.10406e6i −0.463771 0.0666802i
\(317\) 1.27997e6 + 2.80274e6i 0.0401811 + 0.0879843i 0.928658 0.370937i \(-0.120963\pi\)
−0.888477 + 0.458921i \(0.848236\pi\)
\(318\) −2.78558e7 + 4.00507e6i −0.866233 + 0.124546i
\(319\) −2.44929e7 3.81117e7i −0.754515 1.17405i
\(320\) −7.56157e6 6.55214e6i −0.230761 0.199955i
\(321\) 2.06375e7i 0.623938i
\(322\) −5.07776e6 1.62622e7i −0.152091 0.487091i
\(323\) 2.57515e6 0.0764179
\(324\) −868207. + 1.00196e6i −0.0255263 + 0.0294589i
\(325\) −1.94470e7 + 1.24978e7i −0.566503 + 0.364069i
\(326\) 3.55951e6 + 2.47569e7i 0.102739 + 0.714569i
\(327\) 1.53125e7 6.99300e6i 0.437929 0.199996i
\(328\) 688045. 4.78546e6i 0.0194982 0.135613i
\(329\) −5.26350e6 1.79259e7i −0.147804 0.503375i
\(330\) −2.01880e7 1.29740e7i −0.561760 0.361021i
\(331\) 1.18894e6 2.60342e6i 0.0327851 0.0717893i −0.892531 0.450986i \(-0.851072\pi\)
0.925316 + 0.379197i \(0.123800\pi\)
\(332\) −1.37884e6 + 4.69590e6i −0.0376790 + 0.128323i
\(333\) −1.42606e7 + 1.23568e7i −0.386193 + 0.334638i
\(334\) 2.55328e7 + 2.94665e7i 0.685267 + 0.790840i
\(335\) 4.20337e7 + 1.23422e7i 1.11805 + 0.328290i
\(336\) 1.07385e7 + 4.90412e6i 0.283091 + 0.129284i
\(337\) −9.89000e6 + 1.53891e7i −0.258408 + 0.402091i −0.946081 0.323929i \(-0.894996\pi\)
0.687673 + 0.726021i \(0.258632\pi\)
\(338\) 2.60006e7 7.63448e6i 0.673339 0.197710i
\(339\) −1.00875e7 1.45036e6i −0.258931 0.0372287i
\(340\) 387822. + 849212.i 0.00986725 + 0.0216063i
\(341\) 1.02636e6 147568.i 0.0258843 0.00372160i
\(342\) −6.47099e6 1.00691e7i −0.161768 0.251716i
\(343\) −2.41985e7 2.09681e7i −0.599662 0.519610i
\(344\) 1.01140e7i 0.248455i
\(345\) 1.60165e7 2.58230e6i 0.390041 0.0628853i
\(346\) 2.65054e7 0.639890
\(347\) 4.18110e7 4.82525e7i 1.00070 1.15486i 0.0127728 0.999918i \(-0.495934\pi\)
0.987923 0.154946i \(-0.0495204\pi\)
\(348\) 6.89131e6 4.42878e6i 0.163517 0.105086i
\(349\) −2.13464e6 1.48467e7i −0.0502167 0.349265i −0.999403 0.0345501i \(-0.989000\pi\)
0.949186 0.314715i \(-0.101909\pi\)
\(350\) 1.05823e7 4.83279e6i 0.246818 0.112718i
\(351\) −1.49991e6 + 1.04321e7i −0.0346851 + 0.241240i
\(352\) −1.20159e7 4.09225e7i −0.275505 0.938283i
\(353\) 3.27658e6 + 2.10573e6i 0.0744898 + 0.0478717i 0.577356 0.816493i \(-0.304085\pi\)
−0.502866 + 0.864364i \(0.667721\pi\)
\(354\) −1.36391e7 + 2.98655e7i −0.307451 + 0.673224i
\(355\) 1.37300e7 4.67602e7i 0.306892 1.04518i
\(356\) 6.00527e6 5.20360e6i 0.133101 0.115333i
\(357\) 747301. + 862431.i 0.0164244 + 0.0189548i
\(358\) 7.01033e7 + 2.05842e7i 1.52788 + 0.448626i
\(359\) −2.84371e7 1.29868e7i −0.614613 0.280684i 0.0836842 0.996492i \(-0.473331\pi\)
−0.698297 + 0.715808i \(0.746059\pi\)
\(360\) −4.34113e6 + 6.75494e6i −0.0930456 + 0.144782i
\(361\) −1.82139e7 + 5.34809e6i −0.387153 + 0.113678i
\(362\) 2.72748e7 + 3.92153e6i 0.574958 + 0.0826665i
\(363\) 1.27900e7 + 2.80062e7i 0.267393 + 0.585509i
\(364\) −9.31176e6 + 1.33883e6i −0.193076 + 0.0277601i
\(365\) −7.82196e6 1.21712e7i −0.160856 0.250297i
\(366\) 2.47642e6 + 2.14583e6i 0.0505103 + 0.0437674i
\(367\) 4.43674e7i 0.897565i −0.893641 0.448782i \(-0.851858\pi\)
0.893641 0.448782i \(-0.148142\pi\)
\(368\) 5.20294e7 + 3.21971e7i 1.04401 + 0.646061i
\(369\) −3.04115e6 −0.0605284
\(370\) 4.04430e7 4.66737e7i 0.798432 0.921440i
\(371\) 2.45982e7 1.58083e7i 0.481705 0.309573i
\(372\) 26683.1 + 185585.i 0.000518332 + 0.00360508i
\(373\) 6.19543e7 2.82936e7i 1.19384 0.545207i 0.283459 0.958984i \(-0.408518\pi\)
0.910378 + 0.413777i \(0.135791\pi\)
\(374\) 1.24507e6 8.65968e6i 0.0238002 0.165534i
\(375\) 8.99081e6 + 3.06199e7i 0.170492 + 0.580644i
\(376\) 4.03174e7 + 2.59104e7i 0.758453 + 0.487428i
\(377\) 2.70519e7 5.92354e7i 0.504863 1.10550i
\(378\) 1.49432e6 5.08917e6i 0.0276673 0.0942262i
\(379\) −4.49509e7 + 3.89502e7i −0.825697 + 0.715470i −0.961363 0.275284i \(-0.911228\pi\)
0.135666 + 0.990755i \(0.456683\pi\)
\(380\) 6.66240e6 + 7.68883e6i 0.121417 + 0.140123i
\(381\) 2.41257e7 + 7.08395e6i 0.436219 + 0.128086i
\(382\) −1.40253e7 6.40515e6i −0.251607 0.114905i
\(383\) −6.63694e6 + 1.03273e7i −0.118133 + 0.183819i −0.895284 0.445495i \(-0.853028\pi\)
0.777151 + 0.629314i \(0.216664\pi\)
\(384\) −3.73595e7 + 1.09698e7i −0.659793 + 0.193733i
\(385\) 2.46796e7 + 3.54840e6i 0.432471 + 0.0621799i
\(386\) 1.29465e7 + 2.83488e7i 0.225107 + 0.492916i
\(387\) 6.29725e6 905408.i 0.108647 0.0156211i
\(388\) −1.13638e6 1.76824e6i −0.0194549 0.0302724i
\(389\) −6.88084e7 5.96228e7i −1.16894 1.01289i −0.999626 0.0273313i \(-0.991299\pi\)
−0.169315 0.985562i \(-0.554155\pi\)
\(390\) 3.44945e7i 0.581509i
\(391\) 3.28200e6 + 4.92036e6i 0.0549046 + 0.0823126i
\(392\) 3.66879e7 0.609067
\(393\) 4.42427e7 5.10588e7i 0.728894 0.841189i
\(394\) 7.90657e6 5.08125e6i 0.129271 0.0830771i
\(395\) 8.01585e6 + 5.57515e7i 0.130064 + 0.904618i
\(396\) −9.60627e6 + 4.38704e6i −0.154693 + 0.0706457i
\(397\) −6.76734e6 + 4.70679e7i −0.108155 + 0.752234i 0.861500 + 0.507757i \(0.169525\pi\)
−0.969655 + 0.244477i \(0.921384\pi\)
\(398\) 2.47521e7 + 8.42979e7i 0.392611 + 1.33711i
\(399\) 1.04618e7 + 6.72337e6i 0.164697 + 0.105844i
\(400\) −1.73568e7 + 3.80061e7i −0.271200 + 0.593846i
\(401\) 1.86041e7 6.33599e7i 0.288520 0.982610i −0.679904 0.733301i \(-0.737978\pi\)
0.968424 0.249309i \(-0.0802034\pi\)
\(402\) 5.61012e7 4.86119e7i 0.863563 0.748281i
\(403\) 976059. + 1.12643e6i 0.0149129 + 0.0172104i
\(404\) −3.14273e7 9.22790e6i −0.476610 0.139945i
\(405\) 4.59443e6 + 2.09821e6i 0.0691618 + 0.0315851i
\(406\) −1.77180e7 + 2.75698e7i −0.264750 + 0.411960i
\(407\) −1.44217e8 + 4.23458e7i −2.13911 + 0.628098i
\(408\) −2.89755e6 416604.i −0.0426629 0.00613399i
\(409\) 1.99377e7 + 4.36575e7i 0.291410 + 0.638100i 0.997549 0.0699740i \(-0.0222916\pi\)
−0.706138 + 0.708074i \(0.749564\pi\)
\(410\) 9.85214e6 1.41652e6i 0.142948 0.0205529i
\(411\) 6.19580e6 + 9.64085e6i 0.0892425 + 0.138864i
\(412\) −2.25219e7 1.95154e7i −0.322043 0.279052i
\(413\) 3.41130e7i 0.484250i
\(414\) 1.09918e7 2.51971e7i 0.154906 0.355099i
\(415\) 1.86453e7 0.260870
\(416\) 4.01470e7 4.63321e7i 0.557665 0.643579i
\(417\) −1.47064e7 + 9.45122e6i −0.202814 + 0.130341i
\(418\) −1.35683e7 9.43699e7i −0.185780 1.29213i
\(419\) −1.05912e8 + 4.83684e7i −1.43980 + 0.657536i −0.973833 0.227265i \(-0.927022\pi\)
−0.465970 + 0.884801i \(0.654294\pi\)
\(420\) −641617. + 4.46255e6i −0.00866020 + 0.0602330i
\(421\) 1.41836e7 + 4.83049e7i 0.190081 + 0.647358i 0.998290 + 0.0584612i \(0.0186194\pi\)
−0.808208 + 0.588897i \(0.799562\pi\)
\(422\) −4.63373e7 2.97792e7i −0.616585 0.396255i
\(423\) 1.25233e7 2.74222e7i 0.165462 0.362311i
\(424\) −2.11320e7 + 7.19689e7i −0.277231 + 0.944163i
\(425\) −3.05234e6 + 2.64487e6i −0.0397619 + 0.0344538i
\(426\) −5.40781e7 6.24095e7i −0.699508 0.807275i
\(427\) −3.26666e6 959177.i −0.0419585 0.0123201i
\(428\) 2.70384e7 + 1.23480e7i 0.344865 + 0.157495i
\(429\) −4.53877e7 + 7.06247e7i −0.574866 + 0.894509i
\(430\) −1.99789e7 + 5.86633e6i −0.251285 + 0.0737838i
\(431\) −9.10217e7 1.30869e7i −1.13688 0.163458i −0.451931 0.892053i \(-0.649265\pi\)
−0.684945 + 0.728595i \(0.740174\pi\)
\(432\) 7.91334e6 + 1.73278e7i 0.0981541 + 0.214927i
\(433\) 5.06716e7 7.28548e6i 0.624168 0.0897418i 0.177028 0.984206i \(-0.443352\pi\)
0.447140 + 0.894464i \(0.352443\pi\)
\(434\) −405534. 631022.i −0.00496087 0.00771926i
\(435\) −2.35855e7 2.04369e7i −0.286534 0.248283i
\(436\) 2.42460e7i 0.292537i
\(437\) 4.94238e7 + 4.13717e7i 0.592232 + 0.495746i
\(438\) −2.45157e7 −0.291758
\(439\) −8.80157e7 + 1.01575e8i −1.04032 + 1.20059i −0.0610271 + 0.998136i \(0.519438\pi\)
−0.979291 + 0.202456i \(0.935108\pi\)
\(440\) −5.38067e7 + 3.45794e7i −0.631652 + 0.405938i
\(441\) −3.28432e6 2.28429e7i −0.0382939 0.266340i
\(442\) 1.14392e7 5.22410e6i 0.132473 0.0604985i
\(443\) −1.54606e7 + 1.07531e8i −0.177835 + 1.23687i 0.683926 + 0.729551i \(0.260271\pi\)
−0.861761 + 0.507315i \(0.830638\pi\)
\(444\) −7.65693e6 2.60771e7i −0.0874794 0.297927i
\(445\) −2.54667e7 1.63665e7i −0.288997 0.185727i
\(446\) −5.93733e7 + 1.30009e8i −0.669248 + 1.46545i
\(447\) −170998. + 582367.i −0.00191456 + 0.00652040i
\(448\) 1.33127e7 1.15355e7i 0.148058 0.128293i
\(449\) −7.50293e7 8.65885e7i −0.828881 0.956579i 0.170706 0.985322i \(-0.445395\pi\)
−0.999587 + 0.0287425i \(0.990850\pi\)
\(450\) 1.80118e7 + 5.28873e6i 0.197660 + 0.0580382i
\(451\) −2.20353e7 1.00632e7i −0.240209 0.109700i
\(452\) 7.93586e6 1.23484e7i 0.0859367 0.133720i
\(453\) 8.65801e7 2.54222e7i 0.931372 0.273476i
\(454\) 3.36565e7 + 4.83908e6i 0.359668 + 0.0517124i
\(455\) 1.48884e7 + 3.26011e7i 0.158057 + 0.346097i
\(456\) −3.15764e7 + 4.53999e6i −0.333018 + 0.0478807i
\(457\) −9.24178e7 1.43805e8i −0.968294 1.50669i −0.858547 0.512735i \(-0.828632\pi\)
−0.109747 0.993960i \(-0.535004\pi\)
\(458\) −1.24560e8 1.07932e8i −1.29653 1.12345i
\(459\) 1.84139e6i 0.0190418i
\(460\) −6.19992e6 + 2.25292e7i −0.0636961 + 0.231458i
\(461\) 9.74400e6 0.0994568 0.0497284 0.998763i \(-0.484164\pi\)
0.0497284 + 0.998763i \(0.484164\pi\)
\(462\) 2.76675e7 3.19299e7i 0.280571 0.323797i
\(463\) −8.43840e7 + 5.42303e7i −0.850192 + 0.546385i −0.891635 0.452755i \(-0.850441\pi\)
0.0414424 + 0.999141i \(0.486805\pi\)
\(464\) −1.67505e7 1.16502e8i −0.167677 1.16622i
\(465\) 649746. 296729.i 0.00646227 0.00295122i
\(466\) −651179. + 4.52905e6i −0.00643491 + 0.0447558i
\(467\) 4.06618e6 + 1.38481e7i 0.0399242 + 0.135969i 0.977044 0.213040i \(-0.0683364\pi\)
−0.937119 + 0.349009i \(0.886518\pi\)
\(468\) −1.27703e7 8.20696e6i −0.124584 0.0800654i
\(469\) −3.20400e7 + 7.01578e7i −0.310580 + 0.680076i
\(470\) −2.77977e7 + 9.46703e7i −0.267741 + 0.911843i
\(471\) 4.60517e7 3.99040e7i 0.440740 0.381904i
\(472\) 5.73055e7 + 6.61340e7i 0.544967 + 0.628925i
\(473\) 4.86240e7 + 1.42773e7i 0.459481 + 0.134916i
\(474\) 8.68167e7 + 3.96479e7i 0.815208 + 0.372293i
\(475\) −2.37956e7 + 3.70266e7i −0.222032 + 0.345488i
\(476\) −1.57706e6 + 463065.i −0.0146226 + 0.00429360i
\(477\) 4.67015e7 + 6.71467e6i 0.430305 + 0.0618684i
\(478\) 8.51863e7 + 1.86532e8i 0.779984 + 1.70793i
\(479\) 1.16185e8 1.67048e7i 1.05716 0.151997i 0.408259 0.912866i \(-0.366136\pi\)
0.648905 + 0.760869i \(0.275227\pi\)
\(480\) −1.58841e7 2.47162e7i −0.143628 0.223490i
\(481\) −1.63281e8 1.41484e8i −1.46724 1.27137i
\(482\) 4.93066e7i 0.440315i
\(483\) 487026. + 2.85582e7i 0.00432226 + 0.253449i
\(484\) −4.43452e7 −0.391120
\(485\) −5.24392e6 + 6.05180e6i −0.0459654 + 0.0530469i
\(486\) 7.19997e6 4.62714e6i 0.0627223 0.0403092i
\(487\) 2.29840e7 + 1.59857e8i 0.198993 + 1.38403i 0.807213 + 0.590260i \(0.200975\pi\)
−0.608220 + 0.793768i \(0.708116\pi\)
\(488\) 7.94428e6 3.62803e6i 0.0683589 0.0312185i
\(489\) 5.96767e6 4.15061e7i 0.0510362 0.354964i
\(490\) 2.12798e7 + 7.24723e7i 0.180875 + 0.616004i
\(491\) −2.92809e6 1.88177e6i −0.0247366 0.0158973i 0.528214 0.849111i \(-0.322862\pi\)
−0.552951 + 0.833214i \(0.686498\pi\)
\(492\) 1.81961e6 3.98440e6i 0.0152786 0.0334555i
\(493\) 3.20540e6 1.09166e7i 0.0267511 0.0911059i
\(494\) 1.03571e8 8.97449e7i 0.859128 0.744439i
\(495\) 2.63469e7 + 3.04059e7i 0.217227 + 0.250693i
\(496\) 2.58483e6 + 758974.i 0.0211830 + 0.00621988i
\(497\) 7.80467e7 + 3.56427e7i 0.635748 + 0.290337i
\(498\) 1.70811e7 2.65787e7i 0.138302 0.215202i
\(499\) 8.07381e7 2.37069e7i 0.649796 0.190797i 0.0598088 0.998210i \(-0.480951\pi\)
0.589987 + 0.807413i \(0.299133\pi\)
\(500\) −4.54964e7 6.54140e6i −0.363971 0.0523312i
\(501\) −2.71548e7 5.94608e7i −0.215940 0.472843i
\(502\) 2.10515e8 3.02674e7i 1.66407 0.239257i
\(503\) 2.79533e7 + 4.34962e7i 0.219649 + 0.341780i 0.933538 0.358478i \(-0.116704\pi\)
−0.713889 + 0.700259i \(0.753068\pi\)
\(504\) −1.06838e7 9.25759e6i −0.0834517 0.0723113i
\(505\) 1.24783e8i 0.968909i
\(506\) 1.63020e8 1.46199e8i 1.25832 1.12847i
\(507\) −4.54315e7 −0.348605
\(508\) −2.37162e7 + 2.73700e7i −0.180907 + 0.208777i
\(509\) 1.93618e8 1.24430e8i 1.46822 0.943569i 0.470080 0.882624i \(-0.344225\pi\)
0.998141 0.0609450i \(-0.0194114\pi\)
\(510\) −857690. 5.96537e6i −0.00646577 0.0449704i
\(511\) 2.31700e7 1.05814e7i 0.173646 0.0793013i
\(512\) −1.92482e6 + 1.33874e7i −0.0143410 + 0.0997441i
\(513\) 5.65345e6 + 1.92539e7i 0.0418756 + 0.142615i
\(514\) 1.84146e7 + 1.18343e7i 0.135604 + 0.0871474i
\(515\) −4.71630e7 + 1.03273e8i −0.345286 + 0.756072i
\(516\) −2.58161e6 + 8.79214e6i −0.0187906 + 0.0639949i
\(517\) 1.81480e8 1.57254e8i 1.31328 1.13796i
\(518\) 7.12029e7 + 8.21725e7i 0.512281 + 0.591204i
\(519\) −4.26374e7 1.25195e7i −0.304992 0.0895537i
\(520\) −8.36294e7 3.81923e7i −0.594770 0.271622i
\(521\) 9.21528e7 1.43393e8i 0.651621 1.01394i −0.345522 0.938411i \(-0.612298\pi\)
0.997143 0.0755319i \(-0.0240655\pi\)
\(522\) −5.07395e7 + 1.48985e7i −0.356726 + 0.104744i
\(523\) −1.12375e8 1.61571e7i −0.785532 0.112942i −0.262135 0.965031i \(-0.584426\pi\)
−0.523397 + 0.852089i \(0.675336\pi\)
\(524\) 4.04235e7 + 8.85151e7i 0.280957 + 0.615210i
\(525\) −1.93058e7 + 2.77575e6i −0.133417 + 0.0191824i
\(526\) −1.47021e8 2.28769e8i −1.01023 1.57195i
\(527\) 196805. + 170532.i 0.00134463 + 0.00116513i
\(528\) 1.51737e8i 1.03084i
\(529\) −1.60591e7 + 1.47162e8i −0.108481 + 0.994098i
\(530\) −1.54422e8 −1.03725
\(531\) 3.60469e7 4.16003e7i 0.240760 0.277852i
\(532\) −1.50683e7 + 9.68379e6i −0.100076 + 0.0643147i
\(533\) −4.95550e6 3.44663e7i −0.0327270 0.227621i
\(534\) −4.66606e7 + 2.13092e7i −0.306427 + 0.139940i
\(535\) 1.61160e7 1.12089e8i 0.105243 0.731984i
\(536\) −5.57410e7 1.89836e8i −0.361976 1.23278i
\(537\) −1.03048e8 6.62247e7i −0.665450 0.427659i
\(538\) −6.29652e7 + 1.37874e8i −0.404346 + 0.885395i
\(539\) 5.17901e7 1.76381e8i 0.330735 1.12638i
\(540\) −5.49797e6 + 4.76402e6i −0.0349157 + 0.0302546i
\(541\) 3.56111e7 + 4.10974e7i 0.224902 + 0.259551i 0.856975 0.515358i \(-0.172341\pi\)
−0.632073 + 0.774909i \(0.717796\pi\)
\(542\) 2.00692e8 + 5.89284e7i 1.26047 + 0.370107i
\(543\) −4.20228e7 1.91912e7i −0.262474 0.119868i
\(544\) 5.79086e6 9.01076e6i 0.0359705 0.0559712i
\(545\) 8.86285e7 2.60237e7i 0.547500 0.160760i
\(546\) 6.01120e7 + 8.64280e6i 0.369303 + 0.0530978i
\(547\) −9.98843e6 2.18716e7i −0.0610289 0.133635i 0.876660 0.481110i \(-0.159766\pi\)
−0.937689 + 0.347475i \(0.887039\pi\)
\(548\) −1.63382e7 + 2.34908e6i −0.0992801 + 0.0142743i
\(549\) −2.97009e6 4.62154e6i −0.0179495 0.0279299i
\(550\) 1.13008e8 + 9.79216e7i 0.679234 + 0.588559i
\(551\) 1.23987e8i 0.741178i
\(552\) −4.89183e7 5.45470e7i −0.290840 0.324305i
\(553\) −9.91640e7 −0.586379
\(554\) 4.09190e7 4.72230e7i 0.240655 0.277731i
\(555\) −8.71035e7 + 5.59780e7i −0.509515 + 0.327445i
\(556\) −3.58334e6 2.49227e7i −0.0208479 0.145001i
\(557\) −2.51822e7 + 1.15003e7i −0.145723 + 0.0665495i −0.486942 0.873434i \(-0.661888\pi\)
0.341219 + 0.939984i \(0.389160\pi\)
\(558\) 172253. 1.19805e6i 0.000991435 0.00689558i
\(559\) 2.05225e7 + 6.98932e7i 0.117488 + 0.400129i
\(560\) 5.44949e7 + 3.50217e7i 0.310307 + 0.199422i
\(561\) −6.09315e6 + 1.33421e7i −0.0345107 + 0.0755678i
\(562\) 4.10848e7 1.39922e8i 0.231458 0.788274i
\(563\) 3.48573e7 3.02040e7i 0.195330 0.169254i −0.551705 0.834039i \(-0.686022\pi\)
0.747034 + 0.664785i \(0.231477\pi\)
\(564\) 2.84344e7 + 3.28151e7i 0.158492 + 0.182909i
\(565\) −5.36560e7 1.57548e7i −0.297490 0.0873511i
\(566\) −2.20831e7 1.00850e7i −0.121790 0.0556196i
\(567\) −4.80761e6 + 7.48078e6i −0.0263742 + 0.0410391i
\(568\) −2.11182e8 + 6.20087e7i −1.15242 + 0.338383i
\(569\) 1.70280e7 + 2.44825e6i 0.0924328 + 0.0132898i 0.188376 0.982097i \(-0.439678\pi\)
−0.0959432 + 0.995387i \(0.530587\pi\)
\(570\) −2.72831e7 5.97417e7i −0.147323 0.322592i
\(571\) −2.55071e8 + 3.66737e7i −1.37010 + 0.196991i −0.787775 0.615963i \(-0.788767\pi\)
−0.582328 + 0.812954i \(0.697858\pi\)
\(572\) −6.53728e7 1.01722e8i −0.349308 0.543534i
\(573\) 1.95362e7 + 1.69282e7i 0.103843 + 0.0899802i
\(574\) 1.75238e7i 0.0926600i
\(575\) −1.01074e8 + 1.72370e6i −0.531663 + 0.00906688i
\(576\) 2.84241e7 0.148737
\(577\) 1.87282e8 2.16135e8i 0.974920 1.12512i −0.0172034 0.999852i \(-0.505476\pi\)
0.992123 0.125265i \(-0.0399782\pi\)
\(578\) −1.86955e8 + 1.20148e8i −0.968172 + 0.622207i
\(579\) −7.43591e6 5.17179e7i −0.0383088 0.266443i
\(580\) 4.08875e7 1.86727e7i 0.209559 0.0957025i
\(581\) −4.67168e6 + 3.24923e7i −0.0238202 + 0.165673i
\(582\) 3.82281e6 + 1.30193e7i 0.0193916 + 0.0660417i
\(583\) 3.16167e8 + 2.03188e8i 1.59555 + 1.02540i
\(584\) −2.71438e7 + 5.94366e7i −0.136280 + 0.298411i
\(585\) −1.62930e7 + 5.54890e7i −0.0813831 + 0.277165i
\(586\) 2.07715e8 1.79986e8i 1.03223 0.894429i
\(587\) 1.43075e8 + 1.65118e8i 0.707376 + 0.816355i 0.989729 0.142955i \(-0.0456605\pi\)
−0.282353 + 0.959310i \(0.591115\pi\)
\(588\) 3.18930e7 + 9.36463e6i 0.156878 + 0.0460637i
\(589\) 2.58140e6 + 1.17888e6i 0.0126331 + 0.00576933i
\(590\) −9.74008e7 + 1.51559e8i −0.474249 + 0.737946i
\(591\) −1.51188e7 + 4.43929e6i −0.0732412 + 0.0215056i
\(592\) −3.86525e8 5.55739e7i −1.86300 0.267859i
\(593\) 660951. + 1.44728e6i 0.00316961 + 0.00694047i 0.911210 0.411942i \(-0.135149\pi\)
−0.908041 + 0.418882i \(0.862422\pi\)
\(594\) 6.74801e7 9.70217e6i 0.321971 0.0462924i
\(595\) 3.38536e6 + 5.26773e6i 0.0160714 + 0.0250076i
\(596\) −660681. 572483.i −0.00312071 0.00270411i
\(597\) 1.47296e8i 0.692256i
\(598\) 3.03477e8 + 8.35151e7i 1.41913 + 0.390536i
\(599\) −2.93930e8 −1.36761 −0.683807 0.729663i \(-0.739677\pi\)
−0.683807 + 0.729663i \(0.739677\pi\)
\(600\) 3.27648e7 3.78125e7i 0.151689 0.175058i
\(601\) 9.96078e7 6.40140e7i 0.458849 0.294884i −0.290723 0.956807i \(-0.593896\pi\)
0.749572 + 0.661923i \(0.230259\pi\)
\(602\) −5.21716e6 3.62862e7i −0.0239136 0.166323i
\(603\) −1.13207e8 + 5.17001e7i −0.516324 + 0.235797i
\(604\) −1.84963e7 + 1.28645e8i −0.0839410 + 0.583822i
\(605\) 4.75965e7 + 1.62099e8i 0.214936 + 0.732004i
\(606\) 1.77878e8 + 1.14315e8i 0.799290 + 0.513673i
\(607\) 5.91359e7 1.29490e8i 0.264415 0.578987i −0.730129 0.683309i \(-0.760540\pi\)
0.994544 + 0.104322i \(0.0332673\pi\)
\(608\) 3.28854e7 1.11997e8i 0.146316 0.498307i
\(609\) 4.15239e7 3.59807e7i 0.183843 0.159301i
\(610\) 1.17746e7 + 1.35886e7i 0.0518746 + 0.0598665i
\(611\) 3.31190e8 + 9.72462e7i 1.45196 + 0.426333i
\(612\) −2.41251e6 1.10176e6i −0.0105248 0.00480653i
\(613\) 2.14201e8 3.33304e8i 0.929910 1.44697i 0.0356782 0.999363i \(-0.488641\pi\)
0.894232 0.447605i \(-0.147723\pi\)
\(614\) 3.18033e8 9.33829e7i 1.37394 0.403425i
\(615\) −1.65175e7 2.37486e6i −0.0710101 0.0102097i
\(616\) −4.67784e7 1.02431e8i −0.200126 0.438215i
\(617\) −3.37576e8 + 4.85361e7i −1.43720 + 0.206638i −0.816469 0.577389i \(-0.804072\pi\)
−0.620727 + 0.784027i \(0.713162\pi\)
\(618\) 1.04008e8 + 1.61839e8i 0.440657 + 0.685676i
\(619\) −3.01830e8 2.61537e8i −1.27259 1.10271i −0.989639 0.143576i \(-0.954140\pi\)
−0.282955 0.959133i \(-0.591315\pi\)
\(620\) 1.02881e6i 0.00431680i
\(621\) −2.95833e7 + 3.53410e7i −0.123530 + 0.147572i
\(622\) −4.68996e8 −1.94894
\(623\) 3.49020e7 4.02790e7i 0.144340 0.166577i
\(624\) −1.83486e8 + 1.17919e8i −0.755178 + 0.485324i
\(625\) 6.44555e6 + 4.48298e7i 0.0264010 + 0.183623i
\(626\) −3.96271e8 + 1.80971e8i −1.61536 + 0.737710i
\(627\) −2.27479e7 + 1.58215e8i −0.0922867 + 0.641868i
\(628\) 2.47265e7 + 8.42109e7i 0.0998354 + 0.340008i
\(629\) −3.17552e7 2.04078e7i −0.127604 0.0820059i
\(630\) 1.20903e7 2.64741e7i 0.0483522 0.105877i
\(631\) −4.48910e7 + 1.52885e8i −0.178678 + 0.608522i 0.820635 + 0.571453i \(0.193620\pi\)
−0.999313 + 0.0370686i \(0.988198\pi\)
\(632\) 1.92247e8 1.66583e8i 0.761566 0.659901i
\(633\) 6.04738e7 + 6.97905e7i 0.238427 + 0.275160i
\(634\) 2.74883e7 + 8.07129e6i 0.107865 + 0.0316720i
\(635\) 1.25503e8 + 5.73153e7i 0.490154 + 0.223846i
\(636\) −3.67402e7 + 5.71689e7i −0.142814 + 0.222223i
\(637\) 2.53534e8 7.44442e7i 0.980883 0.288013i
\(638\) −4.16943e8 5.99473e7i −1.60551 0.230838i
\(639\) 5.75135e7 + 1.25937e8i 0.220428 + 0.482670i
\(640\) −2.11479e8 + 3.04061e7i −0.806727 + 0.115990i
\(641\) 2.15636e8 + 3.35536e8i 0.818743 + 1.27399i 0.958867 + 0.283854i \(0.0916133\pi\)
−0.140125 + 0.990134i \(0.544750\pi\)
\(642\) −1.45018e8 1.25659e8i −0.548047 0.474885i
\(643\) 4.08529e8i 1.53670i 0.640027 + 0.768352i \(0.278923\pi\)
−0.640027 + 0.768352i \(0.721077\pi\)
\(644\) −3.77072e7 1.64492e7i −0.141178 0.0615866i
\(645\) 3.49096e7 0.130096
\(646\) 1.56798e7 1.80954e7i 0.0581624 0.0671230i
\(647\) −4.34642e8 + 2.79328e8i −1.60479 + 1.03134i −0.639984 + 0.768389i \(0.721059\pi\)
−0.964810 + 0.262949i \(0.915305\pi\)
\(648\) −3.24637e6 2.25790e7i −0.0119309 0.0829811i
\(649\) 3.98840e8 1.82144e8i 1.45903 0.666318i
\(650\) −3.05889e7 + 2.12750e8i −0.111384 + 0.774694i
\(651\) 354299. + 1.20663e6i 0.00128418 + 0.00437352i
\(652\) 5.08089e7 + 3.26529e7i 0.183315 + 0.117809i
\(653\) −6.95130e7 + 1.52212e8i −0.249647 + 0.546651i −0.992420 0.122893i \(-0.960783\pi\)
0.742773 + 0.669543i \(0.233510\pi\)
\(654\) 4.40968e7 1.50180e8i 0.157643 0.536881i
\(655\) 2.80170e8 2.42768e8i 0.997005 0.863909i
\(656\) −4.12144e7 4.75640e7i −0.145995 0.168487i
\(657\) 3.94368e7 + 1.15797e7i 0.139061 + 0.0408320i
\(658\) −1.58013e8 7.21620e7i −0.554644 0.253297i
\(659\) −3.26410e7 + 5.07903e7i −0.114053 + 0.177470i −0.893587 0.448890i \(-0.851820\pi\)
0.779534 + 0.626360i \(0.215456\pi\)
\(660\) −5.56008e7 + 1.63259e7i −0.193397 + 0.0567864i
\(661\) −4.80756e8 6.91223e7i −1.66464 0.239339i −0.755296 0.655384i \(-0.772507\pi\)
−0.909344 + 0.416045i \(0.863416\pi\)
\(662\) −1.10547e7 2.42065e7i −0.0381044 0.0834369i
\(663\) −2.08690e7 + 3.00050e6i −0.0716078 + 0.0102956i
\(664\) −4.55259e7 7.08398e7i −0.155509 0.241976i
\(665\) 5.15710e7 + 4.46866e7i 0.175364 + 0.151954i
\(666\) 1.75448e8i 0.593915i
\(667\) 2.36903e8 1.58020e8i 0.798351 0.532520i
\(668\) 9.41507e7 0.315860
\(669\) 1.56918e8 1.81093e8i 0.524076 0.604816i
\(670\) 3.42666e8 2.20218e8i 1.13932 0.732198i
\(671\) −6.22767e6 4.33144e7i −0.0206138 0.143372i
\(672\) 4.70517e7 2.14878e7i 0.155048 0.0708083i
\(673\) −5.27005e7 + 3.66540e8i −0.172890 + 1.20248i 0.699850 + 0.714290i \(0.253250\pi\)
−0.872740 + 0.488186i \(0.837659\pi\)
\(674\) 4.79196e7 + 1.63199e8i 0.156507 + 0.533013i
\(675\) −2.64762e7 1.70152e7i −0.0860885 0.0553257i
\(676\) 2.71830e7 5.95225e7i 0.0879950 0.192682i
\(677\) 3.12479e7 1.06420e8i 0.100706 0.342972i −0.893691 0.448682i \(-0.851893\pi\)
0.994397 + 0.105710i \(0.0337116\pi\)
\(678\) −7.16131e7 + 6.20531e7i −0.229775 + 0.199102i
\(679\) −9.23231e6 1.06547e7i −0.0294918 0.0340353i
\(680\) −1.54122e7 4.52544e6i −0.0490161 0.0143924i
\(681\) −5.18553e7 2.36815e7i −0.164192 0.0749839i
\(682\) 5.21243e6 8.11070e6i 0.0164319 0.0255685i
\(683\) 3.48246e7 1.02254e7i 0.109301 0.0320937i −0.226625 0.973982i \(-0.572769\pi\)
0.335926 + 0.941888i \(0.390951\pi\)
\(684\) −2.86083e7 4.11325e6i −0.0893972 0.0128534i
\(685\) 2.61229e7 + 5.72011e7i 0.0812735 + 0.177964i
\(686\) −2.94684e8 + 4.23691e7i −0.912817 + 0.131243i
\(687\) 1.49391e8 + 2.32457e8i 0.460739 + 0.716924i
\(688\) 9.95025e7 + 8.62194e7i 0.305540 + 0.264752i
\(689\) 5.40223e8i 1.65164i
\(690\) 7.93768e7 1.28270e8i 0.241628 0.390462i
\(691\) 2.58843e7 0.0784517 0.0392258 0.999230i \(-0.487511\pi\)
0.0392258 + 0.999230i \(0.487511\pi\)
\(692\) 4.19137e7 4.83710e7i 0.126485 0.145971i
\(693\) −5.95884e7 + 3.82952e7i −0.179045 + 0.115065i
\(694\) −8.44851e7 5.87607e8i −0.252756 1.75796i
\(695\) −8.72559e7 + 3.98484e7i −0.259920 + 0.118702i
\(696\) −2.00585e7 + 1.39510e8i −0.0594936 + 0.413787i
\(697\) −1.71398e6 5.83727e6i −0.00506182 0.0172390i
\(698\) −1.17325e8 7.54001e7i −0.345003 0.221720i
\(699\) 3.18674e6 6.97799e6i 0.00933073 0.0204314i
\(700\) 7.91455e6 2.69545e7i 0.0230745 0.0785845i
\(701\) −5.79408e7 + 5.02060e7i −0.168202 + 0.145748i −0.734894 0.678182i \(-0.762768\pi\)
0.566693 + 0.823929i \(0.308223\pi\)
\(702\) 6.41730e7 + 7.40595e7i 0.185499 + 0.214077i
\(703\) −3.94695e8 1.15893e8i −1.13604 0.333573i
\(704\) 2.05953e8 + 9.40555e7i 0.590269 + 0.269567i
\(705\) 8.94325e7 1.39160e8i 0.255228 0.397142i
\(706\) 3.47475e7 1.02028e7i 0.0987438 0.0289938i
\(707\) −2.17455e8 3.12652e7i −0.615333 0.0884715i
\(708\) 3.29351e7 + 7.21179e7i 0.0928025 + 0.203209i
\(709\) 6.32756e8 9.09765e7i 1.77540 0.255265i 0.824746 0.565503i \(-0.191318\pi\)
0.950659 + 0.310239i \(0.100409\pi\)
\(710\) −2.44980e8 3.81197e8i −0.684473 1.06506i
\(711\) −1.20929e8 1.04786e8i −0.336451 0.291536i
\(712\) 1.36719e8i 0.378781i
\(713\) 1.03746e6 + 6.43477e6i 0.00286222 + 0.0177527i
\(714\) 1.06105e7 0.0291501
\(715\) −3.01667e8 + 3.48143e8i −0.825297 + 0.952444i
\(716\) 1.48422e8 9.53847e7i 0.404350 0.259860i
\(717\) −4.89274e7 3.40298e8i −0.132738 0.923212i
\(718\) −2.64407e8 + 1.20751e8i −0.714332 + 0.326225i
\(719\) 7.42196e7 5.16209e8i 0.199679 1.38880i −0.605538 0.795816i \(-0.707042\pi\)
0.805217 0.592980i \(-0.202049\pi\)
\(720\) 2.94486e7 + 1.00293e8i 0.0788982 + 0.268703i
\(721\) −1.68151e8 1.08064e8i −0.448637 0.288321i
\(722\) −7.33217e7 + 1.60552e8i −0.194814 + 0.426584i
\(723\) −2.32893e7 + 7.93161e7i −0.0616228 + 0.209868i
\(724\) 5.02871e7 4.35740e7i 0.132508 0.114818i
\(725\) 1.27344e8 + 1.46963e8i 0.334168 + 0.385650i
\(726\) 2.74674e8 + 8.06517e7i 0.717808 + 0.210767i
\(727\) −1.71580e8 7.83581e7i −0.446544 0.203930i 0.179435 0.983770i \(-0.442573\pi\)
−0.625979 + 0.779840i \(0.715300\pi\)
\(728\) 8.75098e7 1.36168e8i 0.226810 0.352924i
\(729\) −1.37677e7 + 4.04255e6i −0.0355368 + 0.0104345i
\(730\) −1.33153e8 1.91446e7i −0.342281 0.0492126i
\(731\) 5.28696e6 + 1.15768e7i 0.0135349 + 0.0296372i
\(732\) 7.83206e6 1.12608e6i 0.0199684 0.00287102i
\(733\) 3.02388e8 + 4.70525e8i 0.767808 + 1.19473i 0.976239 + 0.216696i \(0.0695281\pi\)
−0.208431 + 0.978037i \(0.566836\pi\)
\(734\) −3.11767e8 2.70148e8i −0.788392 0.683145i
\(735\) 1.26632e8i 0.318921i
\(736\) 2.55906e8 7.99051e7i 0.641870 0.200420i
\(737\) −9.91342e8 −2.47640
\(738\) −1.85172e7 + 2.13700e7i −0.0460688 + 0.0531662i
\(739\) 6.16228e8 3.96026e8i 1.52689 0.981273i 0.536359 0.843990i \(-0.319799\pi\)
0.990532 0.137284i \(-0.0438372\pi\)
\(740\) −2.12235e7 1.47613e8i −0.0523748 0.364275i
\(741\) −2.08998e8 + 9.54460e7i −0.513673 + 0.234587i
\(742\) 3.86914e7 2.69104e8i 0.0947114 0.658733i
\(743\) 1.75540e8 + 5.97835e8i 0.427967 + 1.45752i 0.838110 + 0.545501i \(0.183661\pi\)
−0.410143 + 0.912021i \(0.634521\pi\)
\(744\) −2.71386e6 1.74409e6i −0.00658974 0.00423497i
\(745\) −1.38353e6 + 3.02950e6i −0.00334594 + 0.00732659i
\(746\) 1.78415e8 6.07625e8i 0.429749 1.46359i
\(747\) −4.00313e7 + 3.46873e7i −0.0960368 + 0.0832164i
\(748\) −1.38346e7 1.59660e7i −0.0330569 0.0381497i
\(749\) 1.91295e8 + 5.61691e7i 0.455258 + 0.133676i
\(750\) 2.69908e8 + 1.23263e8i 0.639782 + 0.292179i
\(751\) 2.16770e8 3.37301e8i 0.511776 0.796338i −0.485171 0.874419i \(-0.661243\pi\)
0.996947 + 0.0780806i \(0.0248791\pi\)
\(752\) 5.98605e8 1.75766e8i 1.40762 0.413316i
\(753\) −3.52937e8 5.07447e7i −0.826632 0.118852i
\(754\) −2.51528e8 5.50769e8i −0.586775 1.28486i
\(755\) 4.90098e8 7.04655e7i 1.13879 0.163733i
\(756\) −6.92449e6 1.07747e7i −0.0160259 0.0249368i
\(757\) −1.41402e8 1.22526e8i −0.325963 0.282449i 0.476470 0.879191i \(-0.341916\pi\)
−0.802433 + 0.596742i \(0.796462\pi\)
\(758\) 5.53030e8i 1.26982i
\(759\) −3.31295e8 + 1.58179e8i −0.757686 + 0.361763i
\(760\) −1.75047e8 −0.398763
\(761\) 5.48241e8 6.32703e8i 1.24399 1.43564i 0.385584 0.922673i \(-0.374000\pi\)
0.858407 0.512969i \(-0.171455\pi\)
\(762\) 1.96677e8 1.26397e8i 0.444517 0.285674i
\(763\) 2.31439e7 + 1.60969e8i 0.0521030 + 0.362384i
\(764\) −3.38678e7 + 1.54669e7i −0.0759463 + 0.0346835i
\(765\) −1.43795e6 + 1.00012e7i −0.00321189