Properties

Label 43.7.h.a.3.13
Level 43
Weight 7
Character 43.3
Analytic conductor 9.892
Analytic rank 0
Dimension 252
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.h (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(252\)
Relative dimension: \(21\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 3.13
Character \(\chi\) \(=\) 43.3
Dual form 43.7.h.a.29.13

$q$-expansion

\(f(q)\) \(=\) \(q+(1.68242 - 3.49359i) q^{2} +(5.89314 + 0.441629i) q^{3} +(30.5287 + 38.2818i) q^{4} +(-19.8674 + 64.4087i) q^{5} +(11.4576 - 19.8452i) q^{6} +(-541.820 + 312.820i) q^{7} +(427.047 - 97.4707i) q^{8} +(-686.324 - 103.447i) q^{9} +O(q^{10})\) \(q+(1.68242 - 3.49359i) q^{2} +(5.89314 + 0.441629i) q^{3} +(30.5287 + 38.2818i) q^{4} +(-19.8674 + 64.4087i) q^{5} +(11.4576 - 19.8452i) q^{6} +(-541.820 + 312.820i) q^{7} +(427.047 - 97.4707i) q^{8} +(-686.324 - 103.447i) q^{9} +(191.592 + 177.771i) q^{10} +(371.413 - 465.737i) q^{11} +(163.004 + 239.082i) q^{12} +(-2393.32 + 2220.67i) q^{13} +(181.293 + 2419.19i) q^{14} +(-145.526 + 370.795i) q^{15} +(-319.365 + 1399.23i) q^{16} +(6777.55 - 2090.60i) q^{17} +(-1516.09 + 2223.69i) q^{18} +(1262.33 + 8374.98i) q^{19} +(-3072.21 + 1205.75i) q^{20} +(-3331.17 + 1604.21i) q^{21} +(-1002.22 - 2081.13i) q^{22} +(-1862.03 - 4744.37i) q^{23} +(2559.69 - 385.812i) q^{24} +(9156.22 + 6242.60i) q^{25} +(3731.55 + 12097.4i) q^{26} +(-8199.04 - 1871.38i) q^{27} +(-28516.4 - 11191.9i) q^{28} +(2537.55 - 190.163i) q^{29} +(1050.57 + 1132.24i) q^{30} +(13044.0 - 8893.23i) q^{31} +(26268.8 + 20948.7i) q^{32} +(2394.47 - 2580.63i) q^{33} +(4099.03 - 27195.3i) q^{34} +(-9383.74 - 41112.9i) q^{35} +(-16992.5 - 29431.8i) q^{36} +(-5343.63 - 3085.14i) q^{37} +(31382.5 + 9680.22i) q^{38} +(-15084.9 + 12029.8i) q^{39} +(-2206.38 + 29442.0i) q^{40} +(-104377. - 50265.3i) q^{41} +14336.7i q^{42} +(70674.7 - 36420.5i) q^{43} +29168.1 q^{44} +(20298.4 - 42150.0i) q^{45} +(-19707.6 - 1476.88i) q^{46} +(39952.1 + 50098.4i) q^{47} +(-2500.00 + 8104.81i) q^{48} +(136888. - 237097. i) q^{49} +(37213.7 - 21485.4i) q^{50} +(40864.3 - 9327.01i) q^{51} +(-158076. - 23826.2i) q^{52} +(83866.7 + 77816.9i) q^{53} +(-20332.1 + 25495.6i) q^{54} +(22618.5 + 33175.3i) q^{55} +(-200892. + 186400. i) q^{56} +(3740.42 + 49912.4i) q^{57} +(3604.89 - 9185.10i) q^{58} +(-65016.9 + 284858. i) q^{59} +(-18637.4 + 5748.89i) q^{60} +(-178239. + 261429. i) q^{61} +(-9123.80 - 60532.5i) q^{62} +(404224. - 158646. i) q^{63} +(34624.0 - 16674.0i) q^{64} +(-95481.6 - 198270. i) q^{65} +(-4987.13 - 12707.0i) q^{66} +(-233171. + 35144.9i) q^{67} +(286942. + 195634. i) q^{68} +(-8877.92 - 28781.5i) q^{69} +(-159419. - 36386.3i) q^{70} +(-15139.6 - 5941.85i) q^{71} +(-303176. + 22719.9i) q^{72} +(13002.1 + 14012.9i) q^{73} +(-19768.5 + 13477.9i) q^{74} +(51201.9 + 40832.2i) q^{75} +(-282072. + 304002. i) q^{76} +(-55547.2 + 368531. i) q^{77} +(16648.0 + 72939.5i) q^{78} +(163641. + 283435. i) q^{79} +(-83777.6 - 48369.0i) q^{80} +(436010. + 134491. i) q^{81} +(-351213. + 280083. i) q^{82} +(67487.6 - 900560. i) q^{83} +(-163108. - 78548.8i) q^{84} +478068. i q^{85} +(-8333.52 - 308183. i) q^{86} +15038.1 q^{87} +(113215. - 235094. i) q^{88} +(1.35418e6 + 101482. i) q^{89} +(-113104. - 141828. i) q^{90} +(602076. - 1.95188e6i) q^{91} +(124778. - 216121. i) q^{92} +(80797.4 - 46648.4i) q^{93} +(242239. - 55289.6i) q^{94} +(-564501. - 85084.8i) q^{95} +(145554. + 135054. i) q^{96} +(126057. - 158070. i) q^{97} +(-598017. - 877129. i) q^{98} +(-303089. + 281225. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 252q - 14q^{2} - 11q^{3} + 1180q^{4} - 11q^{5} - 118q^{6} + 126q^{7} - 2254q^{8} - 8178q^{9} + O(q^{10}) \) \( 252q - 14q^{2} - 11q^{3} + 1180q^{4} - 11q^{5} - 118q^{6} + 126q^{7} - 2254q^{8} - 8178q^{9} + 967q^{10} + 4090q^{11} - 484q^{12} + 1527q^{13} + 7812q^{14} - 8923q^{15} - 13760q^{16} - 3655q^{17} + 5596q^{18} + 38605q^{19} + 26085q^{20} + 24873q^{21} - 25214q^{22} + 27991q^{23} - 20480q^{24} - 24146q^{25} - 34923q^{26} - 14q^{27} - 77634q^{28} - 112735q^{29} + 375072q^{30} + 290647q^{31} - 344064q^{32} - 152174q^{33} - 198311q^{34} - 182471q^{35} - 930891q^{36} + 282762q^{37} + 487342q^{38} + 857290q^{39} + 745459q^{40} + 27674q^{41} + 148802q^{43} - 1255832q^{44} - 191310q^{45} - 1344785q^{46} + 69166q^{47} - 871241q^{48} + 1786604q^{49} + 837705q^{50} - 182756q^{51} + 2906416q^{52} + 7779q^{53} + 487154q^{54} - 529592q^{55} - 2464007q^{56} - 767855q^{57} - 1523780q^{58} + 1531338q^{59} - 1858647q^{60} + 646957q^{61} - 448559q^{62} - 2007847q^{63} + 3937366q^{64} - 1473542q^{65} + 1513319q^{66} - 575523q^{67} + 2717157q^{68} + 967041q^{69} + 4624473q^{70} - 2149319q^{71} - 9986371q^{72} - 514565q^{73} - 882972q^{74} - 6655138q^{75} + 1152658q^{76} - 341803q^{77} + 6322388q^{78} - 2476742q^{79} + 10750038q^{80} + 4308941q^{81} + 5079172q^{82} + 2318609q^{83} + 5578407q^{84} + 585292q^{86} - 1990710q^{87} - 2864890q^{88} - 4561993q^{89} - 17681545q^{90} - 4648506q^{91} - 1991714q^{92} - 8868294q^{93} - 10200218q^{94} + 10091737q^{95} + 6250318q^{96} - 1676750q^{97} + 7512700q^{98} + 18452884q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{42}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.68242 3.49359i 0.210303 0.436699i −0.768959 0.639299i \(-0.779225\pi\)
0.979262 + 0.202600i \(0.0649391\pi\)
\(3\) 5.89314 + 0.441629i 0.218264 + 0.0163566i 0.183413 0.983036i \(-0.441285\pi\)
0.0348509 + 0.999393i \(0.488904\pi\)
\(4\) 30.5287 + 38.2818i 0.477011 + 0.598153i
\(5\) −19.8674 + 64.4087i −0.158940 + 0.515270i −0.999657 0.0262053i \(-0.991658\pi\)
0.840717 + 0.541475i \(0.182134\pi\)
\(6\) 11.4576 19.8452i 0.0530446 0.0918759i
\(7\) −541.820 + 312.820i −1.57965 + 0.912012i −0.584743 + 0.811219i \(0.698805\pi\)
−0.994907 + 0.100793i \(0.967862\pi\)
\(8\) 427.047 97.4707i 0.834076 0.190372i
\(9\) −686.324 103.447i −0.941459 0.141902i
\(10\) 191.592 + 177.771i 0.191592 + 0.177771i
\(11\) 371.413 465.737i 0.279048 0.349915i −0.622480 0.782636i \(-0.713875\pi\)
0.901528 + 0.432720i \(0.142446\pi\)
\(12\) 163.004 + 239.082i 0.0943308 + 0.138358i
\(13\) −2393.32 + 2220.67i −1.08936 + 1.01078i −0.0894667 + 0.995990i \(0.528516\pi\)
−0.999891 + 0.0147861i \(0.995293\pi\)
\(14\) 181.293 + 2419.19i 0.0660690 + 0.881630i
\(15\) −145.526 + 370.795i −0.0431189 + 0.109865i
\(16\) −319.365 + 1399.23i −0.0779700 + 0.341609i
\(17\) 6777.55 2090.60i 1.37951 0.425524i 0.485764 0.874090i \(-0.338541\pi\)
0.893750 + 0.448566i \(0.148065\pi\)
\(18\) −1516.09 + 2223.69i −0.259960 + 0.381292i
\(19\) 1262.33 + 8374.98i 0.184039 + 1.22102i 0.869878 + 0.493267i \(0.164197\pi\)
−0.685839 + 0.727754i \(0.740564\pi\)
\(20\) −3072.21 + 1205.75i −0.384026 + 0.150719i
\(21\) −3331.17 + 1604.21i −0.359699 + 0.173222i
\(22\) −1002.22 2081.13i −0.0941229 0.195448i
\(23\) −1862.03 4744.37i −0.153039 0.389937i 0.833707 0.552206i \(-0.186214\pi\)
−0.986747 + 0.162269i \(0.948119\pi\)
\(24\) 2559.69 385.812i 0.185163 0.0279088i
\(25\) 9156.22 + 6242.60i 0.585998 + 0.399527i
\(26\) 3731.55 + 12097.4i 0.212309 + 0.688290i
\(27\) −8199.04 1871.38i −0.416554 0.0950758i
\(28\) −28516.4 11191.9i −1.29903 0.509833i
\(29\) 2537.55 190.163i 0.104045 0.00779709i −0.0226059 0.999744i \(-0.507196\pi\)
0.126651 + 0.991947i \(0.459577\pi\)
\(30\) 1050.57 + 1132.24i 0.0389100 + 0.0419350i
\(31\) 13044.0 8893.23i 0.437849 0.298521i −0.324261 0.945968i \(-0.605116\pi\)
0.762110 + 0.647447i \(0.224163\pi\)
\(32\) 26268.8 + 20948.7i 0.801660 + 0.639303i
\(33\) 2394.47 2580.63i 0.0666297 0.0718097i
\(34\) 4099.03 27195.3i 0.104290 0.691921i
\(35\) −9383.74 41112.9i −0.218863 0.958900i
\(36\) −16992.5 29431.8i −0.364207 0.630826i
\(37\) −5343.63 3085.14i −0.105495 0.0609074i 0.446324 0.894871i \(-0.352733\pi\)
−0.551819 + 0.833964i \(0.686066\pi\)
\(38\) 31382.5 + 9680.22i 0.571922 + 0.176415i
\(39\) −15084.9 + 12029.8i −0.254301 + 0.202798i
\(40\) −2206.38 + 29442.0i −0.0344746 + 0.460032i
\(41\) −104377. 50265.3i −1.51444 0.729318i −0.522107 0.852880i \(-0.674854\pi\)
−0.992337 + 0.123562i \(0.960568\pi\)
\(42\) 14336.7i 0.193509i
\(43\) 70674.7 36420.5i 0.888911 0.458079i
\(44\) 29168.1 0.342412
\(45\) 20298.4 42150.0i 0.222753 0.462551i
\(46\) −19707.6 1476.88i −0.202470 0.0151730i
\(47\) 39952.1 + 50098.4i 0.384810 + 0.482536i 0.936078 0.351792i \(-0.114427\pi\)
−0.551269 + 0.834328i \(0.685856\pi\)
\(48\) −2500.00 + 8104.81i −0.0226056 + 0.0732857i
\(49\) 136888. 237097.i 1.16353 2.01529i
\(50\) 37213.7 21485.4i 0.297710 0.171883i
\(51\) 40864.3 9327.01i 0.308059 0.0703124i
\(52\) −158076. 23826.2i −1.12423 0.169451i
\(53\) 83866.7 + 77816.9i 0.563329 + 0.522693i 0.909624 0.415433i \(-0.136370\pi\)
−0.346295 + 0.938126i \(0.612560\pi\)
\(54\) −20332.1 + 25495.6i −0.129122 + 0.161914i
\(55\) 22618.5 + 33175.3i 0.135949 + 0.199400i
\(56\) −200892. + 186400.i −1.14393 + 1.06141i
\(57\) 3740.42 + 49912.4i 0.0201974 + 0.269515i
\(58\) 3604.89 9185.10i 0.0184760 0.0470760i
\(59\) −65016.9 + 284858.i −0.316570 + 1.38699i 0.526954 + 0.849894i \(0.323334\pi\)
−0.843524 + 0.537092i \(0.819523\pi\)
\(60\) −18637.4 + 5748.89i −0.0862845 + 0.0266152i
\(61\) −178239. + 261429.i −0.785259 + 1.15176i 0.199848 + 0.979827i \(0.435955\pi\)
−0.985108 + 0.171937i \(0.944997\pi\)
\(62\) −9123.80 60532.5i −0.0382825 0.253988i
\(63\) 404224. 158646.i 1.61659 0.634466i
\(64\) 34624.0 16674.0i 0.132080 0.0636064i
\(65\) −95481.6 198270.i −0.347680 0.721965i
\(66\) −4987.13 12707.0i −0.0173468 0.0441989i
\(67\) −233171. + 35144.9i −0.775266 + 0.116853i −0.524746 0.851259i \(-0.675840\pi\)
−0.250520 + 0.968111i \(0.580602\pi\)
\(68\) 286942. + 195634.i 0.912572 + 0.622181i
\(69\) −8877.92 28781.5i −0.0270249 0.0876126i
\(70\) −159419. 36386.3i −0.464778 0.106083i
\(71\) −15139.6 5941.85i −0.0422999 0.0166015i 0.344097 0.938934i \(-0.388185\pi\)
−0.386397 + 0.922333i \(0.626280\pi\)
\(72\) −303176. + 22719.9i −0.812263 + 0.0608707i
\(73\) 13002.1 + 14012.9i 0.0334229 + 0.0360213i 0.749542 0.661957i \(-0.230274\pi\)
−0.716119 + 0.697978i \(0.754083\pi\)
\(74\) −19768.5 + 13477.9i −0.0487841 + 0.0332604i
\(75\) 51201.9 + 40832.2i 0.121367 + 0.0967873i
\(76\) −282072. + 304002.i −0.642569 + 0.692525i
\(77\) −55547.2 + 368531.i −0.121672 + 0.807239i
\(78\) 16648.0 + 72939.5i 0.0350814 + 0.153702i
\(79\) 163641. + 283435.i 0.331903 + 0.574874i 0.982885 0.184220i \(-0.0589759\pi\)
−0.650982 + 0.759093i \(0.725643\pi\)
\(80\) −83777.6 48369.0i −0.163628 0.0944708i
\(81\) 436010. + 134491.i 0.820431 + 0.253069i
\(82\) −351213. + 280083.i −0.636984 + 0.507978i
\(83\) 67487.6 900560.i 0.118029 1.57499i −0.552758 0.833342i \(-0.686425\pi\)
0.670787 0.741650i \(-0.265956\pi\)
\(84\) −163108. 78548.8i −0.275194 0.132526i
\(85\) 478068.i 0.778454i
\(86\) −8333.52 308183.i −0.0131019 0.484522i
\(87\) 15038.1 0.0228368
\(88\) 113215. 235094.i 0.166133 0.344979i
\(89\) 1.35418e6 + 101482.i 1.92091 + 0.143952i 0.980554 0.196248i \(-0.0628757\pi\)
0.940353 + 0.340200i \(0.110495\pi\)
\(90\) −113104. 141828.i −0.155150 0.194552i
\(91\) 602076. 1.95188e6i 0.798964 2.59018i
\(92\) 124778. 216121.i 0.160241 0.277545i
\(93\) 80797.4 46648.4i 0.100450 0.0579946i
\(94\) 242239. 55289.6i 0.291650 0.0665671i
\(95\) −564501. 85084.8i −0.658406 0.0992387i
\(96\) 145554. + 135054.i 0.164517 + 0.152649i
\(97\) 126057. 158070.i 0.138118 0.173195i −0.707962 0.706251i \(-0.750385\pi\)
0.846080 + 0.533056i \(0.178956\pi\)
\(98\) −598017. 877129.i −0.635382 0.931934i
\(99\) −303089. + 281225.i −0.312366 + 0.289834i
\(100\) 40549.5 + 541095.i 0.0405495 + 0.541095i
\(101\) −223742. + 570085.i −0.217162 + 0.553319i −0.997392 0.0721731i \(-0.977007\pi\)
0.780230 + 0.625492i \(0.215102\pi\)
\(102\) 36166.3 158455.i 0.0340804 0.149316i
\(103\) −955272. + 294662.i −0.874209 + 0.269658i −0.699215 0.714912i \(-0.746467\pi\)
−0.174994 + 0.984569i \(0.555991\pi\)
\(104\) −805609. + 1.18161e6i −0.716183 + 1.05045i
\(105\) −37143.0 246428.i −0.0320855 0.212874i
\(106\) 412960. 162075.i 0.346729 0.136081i
\(107\) 1.43130e6 689278.i 1.16837 0.562657i 0.253867 0.967239i \(-0.418297\pi\)
0.914501 + 0.404583i \(0.132583\pi\)
\(108\) −178667. 371005.i −0.141831 0.294516i
\(109\) −693809. 1.76780e6i −0.535747 1.36506i −0.900864 0.434101i \(-0.857066\pi\)
0.365117 0.930962i \(-0.381029\pi\)
\(110\) 153955. 23204.9i 0.115668 0.0174342i
\(111\) −30128.2 20541.1i −0.0220295 0.0150195i
\(112\) −264669. 858035.i −0.188386 0.610732i
\(113\) −245990. 56145.7i −0.170484 0.0389118i 0.136427 0.990650i \(-0.456438\pi\)
−0.306911 + 0.951738i \(0.599295\pi\)
\(114\) 180666. + 70906.3i 0.121945 + 0.0478597i
\(115\) 342572. 25672.2i 0.225247 0.0168799i
\(116\) 84748.0 + 91336.6i 0.0542945 + 0.0585155i
\(117\) 1.87231e6 1.27652e6i 1.16902 0.797022i
\(118\) 885790. + 706394.i 0.539119 + 0.429933i
\(119\) −3.01823e6 + 3.25288e6i −1.79107 + 1.93031i
\(120\) −26004.9 + 172532.i −0.0150492 + 0.0998446i
\(121\) 315246. + 1.38118e6i 0.177948 + 0.779641i
\(122\) 613451. + 1.06253e6i 0.337831 + 0.585141i
\(123\) −592909. 342316.i −0.318620 0.183955i
\(124\) 738665. + 227848.i 0.387420 + 0.119503i
\(125\) −1.40739e6 + 1.12236e6i −0.720586 + 0.574648i
\(126\) 125831. 1.67910e6i 0.0629039 0.839394i
\(127\) 1.64556e6 + 792459.i 0.803345 + 0.386871i 0.790051 0.613041i \(-0.210054\pi\)
0.0132940 + 0.999912i \(0.495768\pi\)
\(128\) 2.00132e6i 0.954306i
\(129\) 432580. 183419.i 0.201510 0.0854427i
\(130\) −853313. −0.388399
\(131\) −1.07591e6 + 2.23415e6i −0.478588 + 0.993798i 0.512262 + 0.858829i \(0.328808\pi\)
−0.990850 + 0.134969i \(0.956907\pi\)
\(132\) 171891. + 12881.5i 0.0747364 + 0.00560072i
\(133\) −3.30381e6 4.14285e6i −1.40430 1.76094i
\(134\) −269511. + 873733.i −0.112011 + 0.363132i
\(135\) 283427. 490910.i 0.115197 0.199526i
\(136\) 2.69056e6 1.55340e6i 1.06961 0.617541i
\(137\) −2.60184e6 + 593852.i −1.01186 + 0.230949i −0.696141 0.717905i \(-0.745101\pi\)
−0.315714 + 0.948854i \(0.602244\pi\)
\(138\) −115487. 17406.9i −0.0439437 0.00662345i
\(139\) 2.52993e6 + 2.34743e6i 0.942029 + 0.874075i 0.992199 0.124665i \(-0.0397857\pi\)
−0.0501696 + 0.998741i \(0.515976\pi\)
\(140\) 1.28740e6 1.61435e6i 0.469169 0.588320i
\(141\) 213318. + 312880.i 0.0760975 + 0.111615i
\(142\) −46229.6 + 42894.8i −0.0161456 + 0.0149810i
\(143\) 145341. + 1.93945e6i 0.0497028 + 0.663238i
\(144\) 363934. 927288.i 0.121881 0.310547i
\(145\) −38166.5 + 167218.i −0.0125193 + 0.0548504i
\(146\) 70830.4 21848.3i 0.0227594 0.00702035i
\(147\) 911410. 1.33679e6i 0.286921 0.420835i
\(148\) −45029.2 298749.i −0.0138902 0.0921556i
\(149\) −1.36459e6 + 535562.i −0.412518 + 0.161902i −0.562519 0.826784i \(-0.690168\pi\)
0.150001 + 0.988686i \(0.452072\pi\)
\(150\) 228794. 110181.i 0.0677909 0.0326464i
\(151\) 1.08683e6 + 2.25683e6i 0.315668 + 0.655492i 0.997076 0.0764115i \(-0.0243463\pi\)
−0.681408 + 0.731904i \(0.738632\pi\)
\(152\) 1.35539e6 + 3.45347e6i 0.385952 + 0.983389i
\(153\) −4.86786e6 + 733712.i −1.35914 + 0.204857i
\(154\) 1.19404e6 + 814085.i 0.326932 + 0.222899i
\(155\) 313651. + 1.01683e6i 0.0842270 + 0.273057i
\(156\) −921043. 210222.i −0.242609 0.0553738i
\(157\) −1.33122e6 522466.i −0.343994 0.135008i 0.187053 0.982350i \(-0.440106\pi\)
−0.531048 + 0.847342i \(0.678202\pi\)
\(158\) 1.26552e6 94837.6i 0.320847 0.0240441i
\(159\) 459871. + 495624.i 0.114405 + 0.123299i
\(160\) −1.87117e6 + 1.27574e6i −0.456829 + 0.311461i
\(161\) 2.49302e6 + 1.98811e6i 0.597376 + 0.476391i
\(162\) 1.20341e6 1.29697e6i 0.283054 0.305060i
\(163\) 323869. 2.14873e6i 0.0747836 0.496157i −0.919814 0.392354i \(-0.871661\pi\)
0.994598 0.103803i \(-0.0331011\pi\)
\(164\) −1.26225e6 5.53028e6i −0.286163 1.25376i
\(165\) 118643. + 205495.i 0.0264113 + 0.0457457i
\(166\) −3.03264e6 1.75090e6i −0.662975 0.382769i
\(167\) 2.31255e6 + 713327.i 0.496525 + 0.153158i 0.532896 0.846181i \(-0.321104\pi\)
−0.0363709 + 0.999338i \(0.511580\pi\)
\(168\) −1.26620e6 + 1.00976e6i −0.267040 + 0.212957i
\(169\) 435868. 5.81625e6i 0.0903014 1.20499i
\(170\) 1.67017e6 + 804313.i 0.339950 + 0.163711i
\(171\) 5.87853e6i 1.17566i
\(172\) 3.55185e6 + 1.59368e6i 0.698022 + 0.313196i
\(173\) −224643. −0.0433865 −0.0216933 0.999765i \(-0.506906\pi\)
−0.0216933 + 0.999765i \(0.506906\pi\)
\(174\) 25300.5 52537.0i 0.00480265 0.00997281i
\(175\) −6.91383e6 518120.i −1.29004 0.0966755i
\(176\) 533058. + 668433.i 0.0977769 + 0.122608i
\(177\) −508955. + 1.64999e6i −0.0917824 + 0.297551i
\(178\) 2.63284e6 4.56021e6i 0.466836 0.808584i
\(179\) 3.15010e6 1.81871e6i 0.549244 0.317106i −0.199573 0.979883i \(-0.563956\pi\)
0.748817 + 0.662777i \(0.230622\pi\)
\(180\) 2.23326e6 509727.i 0.382932 0.0874018i
\(181\) −3.10899e6 468604.i −0.524304 0.0790261i −0.118443 0.992961i \(-0.537790\pi\)
−0.405861 + 0.913935i \(0.633028\pi\)
\(182\) −5.80613e6 5.38730e6i −0.963103 0.893629i
\(183\) −1.16584e6 + 1.46192e6i −0.190233 + 0.238545i
\(184\) −1.25761e6 1.84458e6i −0.201880 0.296103i
\(185\) 304874. 282882.i 0.0481510 0.0446776i
\(186\) −27034.9 360755.i −0.00420132 0.0560627i
\(187\) 1.54360e6 3.93304e6i 0.236054 0.601455i
\(188\) −698169. + 3.05888e6i −0.105072 + 0.460350i
\(189\) 5.02781e6 1.55087e6i 0.744721 0.229716i
\(190\) −1.24698e6 + 1.82899e6i −0.181802 + 0.266655i
\(191\) 993340. + 6.59038e6i 0.142560 + 0.945824i 0.939693 + 0.342020i \(0.111111\pi\)
−0.797133 + 0.603804i \(0.793651\pi\)
\(192\) 211408. 82971.3i 0.0298687 0.0117226i
\(193\) −6.38545e6 + 3.07507e6i −0.888218 + 0.427743i −0.821619 0.570037i \(-0.806929\pi\)
−0.0665987 + 0.997780i \(0.521215\pi\)
\(194\) −340152. 706333.i −0.0465873 0.0967396i
\(195\) −475124. 1.21060e6i −0.0640772 0.163266i
\(196\) 1.32555e7 1.99795e6i 1.76047 0.265348i
\(197\) −1.05713e7 7.20737e6i −1.38270 0.942711i −0.999821 0.0189132i \(-0.993979\pi\)
−0.382882 0.923797i \(-0.625068\pi\)
\(198\) 472562. + 1.53201e6i 0.0608784 + 0.197363i
\(199\) 1.12931e7 + 2.57757e6i 1.43302 + 0.327078i 0.867411 0.497592i \(-0.165782\pi\)
0.565613 + 0.824671i \(0.308640\pi\)
\(200\) 4.51861e6 + 1.77342e6i 0.564826 + 0.221678i
\(201\) −1.38963e6 + 104138.i −0.171124 + 0.0128240i
\(202\) 1.61522e6 + 1.74079e6i 0.195964 + 0.211199i
\(203\) −1.31541e6 + 896831.i −0.157244 + 0.107207i
\(204\) 1.60459e6 + 1.27962e6i 0.189005 + 0.150727i
\(205\) 5.31123e6 5.72414e6i 0.616500 0.664429i
\(206\) −577743. + 3.83307e6i −0.0660896 + 0.438476i
\(207\) 787164. + 3.44879e6i 0.0887471 + 0.388827i
\(208\) −2.34289e6 4.05801e6i −0.260353 0.450945i
\(209\) 4.36939e6 + 2.52267e6i 0.478610 + 0.276326i
\(210\) −923408. 284834.i −0.0997093 0.0307562i
\(211\) −462968. + 369205.i −0.0492838 + 0.0393025i −0.647822 0.761792i \(-0.724320\pi\)
0.598538 + 0.801094i \(0.295748\pi\)
\(212\) −418629. + 5.58622e6i −0.0439362 + 0.586287i
\(213\) −86595.6 41702.2i −0.00896101 0.00431539i
\(214\) 6.16004e6i 0.628553i
\(215\) 941671. + 5.27565e6i 0.0947510 + 0.530836i
\(216\) −3.68378e6 −0.365538
\(217\) −4.28550e6 + 8.89894e6i −0.419395 + 0.870882i
\(218\) −7.34323e6 550299.i −0.708790 0.0531165i
\(219\) 70434.5 + 88322.1i 0.00670584 + 0.00840885i
\(220\) −579495. + 1.87868e6i −0.0544229 + 0.176435i
\(221\) −1.15783e7 + 2.00542e7i −1.07267 + 1.85793i
\(222\) −122451. + 70696.8i −0.0111918 + 0.00646161i
\(223\) 1.70180e7 3.88425e6i 1.53460 0.350262i 0.630023 0.776577i \(-0.283046\pi\)
0.904575 + 0.426315i \(0.140188\pi\)
\(224\) −2.07861e7 3.13300e6i −1.84939 0.278751i
\(225\) −5.63835e6 5.23163e6i −0.494999 0.459292i
\(226\) −610010. + 764928.i −0.0528459 + 0.0662667i
\(227\) 2.24277e6 + 3.28954e6i 0.191738 + 0.281228i 0.910055 0.414488i \(-0.136039\pi\)
−0.718317 + 0.695716i \(0.755087\pi\)
\(228\) −1.79655e6 + 1.66695e6i −0.151577 + 0.140643i
\(229\) 28894.8 + 385575.i 0.00240610 + 0.0321072i 0.998278 0.0586668i \(-0.0186850\pi\)
−0.995872 + 0.0907740i \(0.971066\pi\)
\(230\) 486664. 1.24000e6i 0.0399986 0.101915i
\(231\) −490101. + 2.14727e6i −0.0397603 + 0.174201i
\(232\) 1.06512e6 328546.i 0.0852970 0.0263107i
\(233\) 7.02063e6 1.02974e7i 0.555020 0.814064i −0.441514 0.897254i \(-0.645558\pi\)
0.996534 + 0.0831900i \(0.0265108\pi\)
\(234\) −1.30962e6 8.68874e6i −0.102211 0.678124i
\(235\) −4.02052e6 + 1.57794e6i −0.309798 + 0.121587i
\(236\) −1.28898e7 + 6.20738e6i −0.980638 + 0.472250i
\(237\) 839187. + 1.74259e6i 0.0630396 + 0.130903i
\(238\) 6.28629e6 + 1.60172e7i 0.466298 + 1.18811i
\(239\) 8.63619e6 1.30170e6i 0.632599 0.0953490i 0.175088 0.984553i \(-0.443979\pi\)
0.457511 + 0.889204i \(0.348741\pi\)
\(240\) −472352. 322044.i −0.0341690 0.0232960i
\(241\) 3.53480e6 + 1.14595e7i 0.252530 + 0.818683i 0.989723 + 0.143000i \(0.0456750\pi\)
−0.737192 + 0.675683i \(0.763849\pi\)
\(242\) 5.35566e6 + 1.22239e6i 0.377891 + 0.0862512i
\(243\) 8.21709e6 + 3.22497e6i 0.572663 + 0.224754i
\(244\) −1.54494e7 + 1.15777e6i −1.06351 + 0.0796990i
\(245\) 1.25515e7 + 1.35273e7i 0.853488 + 0.919842i
\(246\) −2.19344e6 + 1.49546e6i −0.147340 + 0.100455i
\(247\) −2.16193e7 1.72408e7i −1.43466 1.14411i
\(248\) 4.70356e6 5.06923e6i 0.308370 0.332343i
\(249\) 795427. 5.27732e6i 0.0515232 0.341834i
\(250\) 1.55323e6 + 6.80514e6i 0.0994067 + 0.435529i
\(251\) −7.48483e6 1.29641e7i −0.473327 0.819826i 0.526207 0.850356i \(-0.323614\pi\)
−0.999534 + 0.0305307i \(0.990280\pi\)
\(252\) 1.84137e7 + 1.06312e7i 1.15064 + 0.664323i
\(253\) −2.90121e6 894905.i −0.179150 0.0552606i
\(254\) 5.53705e6 4.41565e6i 0.337892 0.269460i
\(255\) −211129. + 2.81732e6i −0.0127329 + 0.169909i
\(256\) 9.20774e6 + 4.43422e6i 0.548824 + 0.264300i
\(257\) 2.68517e7i 1.58188i −0.611896 0.790938i \(-0.709593\pi\)
0.611896 0.790938i \(-0.290407\pi\)
\(258\) 86992.1 1.81984e6i 0.00506548 0.105968i
\(259\) 3.86038e6 0.222193
\(260\) 4.67519e6 9.70813e6i 0.265998 0.552351i
\(261\) −1.76125e6 131988.i −0.0990604 0.00742355i
\(262\) 5.99506e6 + 7.51757e6i 0.333342 + 0.417997i
\(263\) −960842. + 3.11497e6i −0.0528183 + 0.171233i −0.978139 0.207953i \(-0.933320\pi\)
0.925320 + 0.379186i \(0.123796\pi\)
\(264\) 771017. 1.33544e6i 0.0419037 0.0725793i
\(265\) −6.67830e6 + 3.85572e6i −0.358863 + 0.207190i
\(266\) −2.00318e7 + 4.57214e6i −1.06433 + 0.242926i
\(267\) 7.93555e6 + 1.19609e6i 0.416911 + 0.0628392i
\(268\) −8.46383e6 7.85329e6i −0.439706 0.407988i
\(269\) −6.46694e6 + 8.10929e6i −0.332232 + 0.416606i −0.919688 0.392650i \(-0.871558\pi\)
0.587455 + 0.809256i \(0.300130\pi\)
\(270\) −1.23819e6 1.81610e6i −0.0629068 0.0922673i
\(271\) 2.83690e6 2.63226e6i 0.142540 0.132258i −0.605681 0.795708i \(-0.707099\pi\)
0.748220 + 0.663450i \(0.230909\pi\)
\(272\) 760714. + 1.01510e7i 0.0378020 + 0.504433i
\(273\) 4.41013e6 1.12368e7i 0.216752 0.552275i
\(274\) −2.30272e6 + 1.00889e7i −0.111941 + 0.490445i
\(275\) 6.30815e6 1.94581e6i 0.303322 0.0935625i
\(276\) 830777. 1.21853e6i 0.0395146 0.0579572i
\(277\) −4.26811e6 2.83170e7i −0.200815 1.33232i −0.831172 0.556015i \(-0.812330\pi\)
0.630358 0.776305i \(-0.282908\pi\)
\(278\) 1.24574e7 4.88916e6i 0.579819 0.227562i
\(279\) −9.87236e6 + 4.75428e6i −0.454578 + 0.218913i
\(280\) −8.01460e6 1.66425e7i −0.365097 0.758131i
\(281\) −1.31897e7 3.36069e7i −0.594452 1.51464i −0.838515 0.544879i \(-0.816575\pi\)
0.244063 0.969759i \(-0.421520\pi\)
\(282\) 1.45197e6 218849.i 0.0647455 0.00975881i
\(283\) 6.85323e6 + 4.67245e6i 0.302368 + 0.206151i 0.704993 0.709214i \(-0.250950\pi\)
−0.402625 + 0.915365i \(0.631902\pi\)
\(284\) −234728. 760968.i −0.0102473 0.0332209i
\(285\) −3.28910e6 750716.i −0.142083 0.0324296i
\(286\) 7.02015e6 + 2.75521e6i 0.300088 + 0.117776i
\(287\) 7.22775e7 5.41645e6i 3.05744 0.229123i
\(288\) −1.58618e7 1.70950e7i −0.664012 0.715635i
\(289\) 2.16212e7 1.47411e7i 0.895750 0.610712i
\(290\) 519980. + 414670.i 0.0213203 + 0.0170024i
\(291\) 812679. 875860.i 0.0329792 0.0355431i
\(292\) −139503. + 925539.i −0.00560317 + 0.0371746i
\(293\) 454782. + 1.99253e6i 0.0180801 + 0.0792140i 0.983163 0.182730i \(-0.0584935\pi\)
−0.965083 + 0.261944i \(0.915636\pi\)
\(294\) −3.13683e6 5.43314e6i −0.123438 0.213801i
\(295\) −1.70556e7 9.84705e6i −0.664356 0.383566i
\(296\) −2.58269e6 796655.i −0.0995858 0.0307181i
\(297\) −3.91680e6 + 3.12355e6i −0.149507 + 0.119228i
\(298\) −424785. + 5.66836e6i −0.0160517 + 0.214195i
\(299\) 1.49921e7 + 7.21982e6i 0.560854 + 0.270093i
\(300\) 3.20666e6i 0.118765i
\(301\) −2.68999e7 + 4.18418e7i −0.986396 + 1.53430i
\(302\) 9.71294e6 0.352639
\(303\) −1.57031e6 + 3.26078e6i −0.0564491 + 0.117218i
\(304\) −1.21217e7 908394.i −0.431461 0.0323336i
\(305\) −1.32971e7 1.66741e7i −0.468660 0.587681i
\(306\) −5.62652e6 + 1.82407e7i −0.196370 + 0.636616i
\(307\) 524162. 907874.i 0.0181155 0.0313769i −0.856826 0.515606i \(-0.827567\pi\)
0.874941 + 0.484229i \(0.160900\pi\)
\(308\) −1.58038e7 + 9.12435e6i −0.540892 + 0.312284i
\(309\) −5.75968e6 + 1.31461e6i −0.195219 + 0.0445575i
\(310\) 4.08008e6 + 614974.i 0.136957 + 0.0206429i
\(311\) 1.63286e7 + 1.51507e7i 0.542834 + 0.503676i 0.903250 0.429115i \(-0.141175\pi\)
−0.360416 + 0.932792i \(0.617365\pi\)
\(312\) −5.26940e6 + 6.60761e6i −0.173499 + 0.217561i
\(313\) −1.75532e7 2.57458e7i −0.572430 0.839600i 0.425430 0.904991i \(-0.360123\pi\)
−0.997860 + 0.0653909i \(0.979171\pi\)
\(314\) −4.06496e6 + 3.77173e6i −0.131301 + 0.121829i
\(315\) 2.18730e6 + 2.91874e7i 0.0699803 + 0.933823i
\(316\) −5.85465e6 + 1.49174e7i −0.185541 + 0.472750i
\(317\) 8.10104e6 3.54930e7i 0.254310 1.11420i −0.672921 0.739714i \(-0.734961\pi\)
0.927231 0.374490i \(-0.122182\pi\)
\(318\) 2.50520e6 772753.i 0.0779044 0.0240303i
\(319\) 853914. 1.25246e6i 0.0263052 0.0385827i
\(320\) 386062. + 2.56136e6i 0.0117817 + 0.0781664i
\(321\) 8.73926e6 3.42991e6i 0.264216 0.103697i
\(322\) 1.11400e7 5.36473e6i 0.333669 0.160687i
\(323\) 2.60642e7 + 5.41229e7i 0.773458 + 1.60610i
\(324\) 8.16227e6 + 2.07971e7i 0.239980 + 0.611460i
\(325\) −3.57765e7 + 5.39244e6i −1.04219 + 0.157085i
\(326\) −6.96190e6 4.74654e6i −0.200944 0.137001i
\(327\) −3.30800e6 1.07243e7i −0.0946067 0.306707i
\(328\) −4.94733e7 1.12920e7i −1.40200 0.319998i
\(329\) −3.73186e7 1.46465e7i −1.04794 0.411287i
\(330\) 917524. 68758.9i 0.0255314 0.00191332i
\(331\) 2.73519e7 + 2.94784e7i 0.754231 + 0.812867i 0.987178 0.159622i \(-0.0510276\pi\)
−0.232948 + 0.972489i \(0.574837\pi\)
\(332\) 3.65354e7 2.49094e7i 0.998388 0.680689i
\(333\) 3.34831e6 + 2.67019e6i 0.0906761 + 0.0723118i
\(334\) 6.38276e6 6.87898e6i 0.171305 0.184622i
\(335\) 2.36888e6 1.57165e7i 0.0630099 0.418043i
\(336\) −1.18080e6 5.17340e6i −0.0311284 0.136382i
\(337\) 1.83909e7 + 3.18539e7i 0.480521 + 0.832287i 0.999750 0.0223482i \(-0.00711424\pi\)
−0.519229 + 0.854635i \(0.673781\pi\)
\(338\) −1.95863e7 1.13081e7i −0.507226 0.292847i
\(339\) −1.42486e6 439510.i −0.0365740 0.0112816i
\(340\) −1.83013e7 + 1.45948e7i −0.465635 + 0.371331i
\(341\) 702794. 9.37813e6i 0.0177241 0.236512i
\(342\) −2.05372e7 9.89018e6i −0.513408 0.247244i
\(343\) 9.76795e7i 2.42059i
\(344\) 2.66315e7 2.24420e7i 0.654214 0.551297i
\(345\) 2.03016e6 0.0494394
\(346\) −377945. + 784811.i −0.00912432 + 0.0189468i
\(347\) 1.64341e7 + 1.23157e6i 0.393331 + 0.0294761i 0.269928 0.962881i \(-0.413000\pi\)
0.123403 + 0.992357i \(0.460619\pi\)
\(348\) 459094. + 575686.i 0.0108934 + 0.0136599i
\(349\) −2.38246e6 + 7.72373e6i −0.0560465 + 0.181698i −0.979268 0.202571i \(-0.935070\pi\)
0.923221 + 0.384269i \(0.125547\pi\)
\(350\) −1.34421e7 + 2.32824e7i −0.313518 + 0.543030i
\(351\) 2.37786e7 1.37286e7i 0.549877 0.317472i
\(352\) 1.95132e7 4.45375e6i 0.447404 0.102117i
\(353\) −4.66707e7 7.03448e6i −1.06101 0.159922i −0.404729 0.914437i \(-0.632634\pi\)
−0.656283 + 0.754515i \(0.727872\pi\)
\(354\) 4.90812e6 + 4.55407e6i 0.110638 + 0.102657i
\(355\) 683492. 857072.i 0.0152774 0.0191572i
\(356\) 3.74565e7 + 5.49386e7i 0.830189 + 1.21766i
\(357\) −1.92234e7 + 1.78367e7i −0.422499 + 0.392022i
\(358\) −1.05403e6 1.40650e7i −0.0229722 0.306543i
\(359\) −6.66728e6 + 1.69880e7i −0.144100 + 0.367162i −0.984642 0.174585i \(-0.944142\pi\)
0.840542 + 0.541747i \(0.182237\pi\)
\(360\) 4.55997e6 1.99785e7i 0.0977359 0.428209i
\(361\) −2.35911e7 + 7.27689e6i −0.501449 + 0.154676i
\(362\) −6.86775e6 + 1.00731e7i −0.144773 + 0.212343i
\(363\) 1.24782e6 + 8.27871e6i 0.0260874 + 0.173078i
\(364\) 9.31023e7 3.65400e7i 1.93044 0.757642i
\(365\) −1.16087e6 + 559046.i −0.0238729 + 0.0114966i
\(366\) 3.14590e6 + 6.53254e6i 0.0641656 + 0.133241i
\(367\) −2.98597e7 7.60814e7i −0.604071 1.53915i −0.825755 0.564029i \(-0.809251\pi\)
0.221684 0.975118i \(-0.428845\pi\)
\(368\) 7.23313e6 1.09022e6i 0.145139 0.0218761i
\(369\) 6.64366e7 + 4.52957e7i 1.32230 + 0.901526i
\(370\) −475346. 1.54103e6i −0.00938436 0.0304233i
\(371\) −6.97833e7 1.59276e7i −1.36656 0.311909i
\(372\) 4.25243e6 + 1.66895e6i 0.0826053 + 0.0324202i
\(373\) −1.39147e7 + 1.04276e6i −0.268131 + 0.0200936i −0.208117 0.978104i \(-0.566733\pi\)
−0.0600137 + 0.998198i \(0.519114\pi\)
\(374\) −1.11434e7 1.20098e7i −0.213012 0.229572i
\(375\) −8.78963e6 + 5.99267e6i −0.166677 + 0.113639i
\(376\) 2.19446e7 + 1.75002e7i 0.412822 + 0.329215i
\(377\) −5.65088e6 + 6.09020e6i −0.105461 + 0.113660i
\(378\) 3.04079e6 2.01743e7i 0.0563004 0.373528i
\(379\) −1.17072e7 5.12925e7i −0.215048 0.942186i −0.961079 0.276275i \(-0.910900\pi\)
0.746031 0.665911i \(-0.231957\pi\)
\(380\) −1.39763e7 2.42076e7i −0.254707 0.441166i
\(381\) 9.34752e6 + 5.39680e6i 0.169014 + 0.0975801i
\(382\) 2.46953e7 + 7.61749e6i 0.443021 + 0.136654i
\(383\) 3.68447e7 2.93827e7i 0.655812 0.522993i −0.238097 0.971241i \(-0.576524\pi\)
0.893909 + 0.448249i \(0.147952\pi\)
\(384\) −883844. + 1.17941e7i −0.0156092 + 0.208291i
\(385\) −2.26330e7 1.08995e7i −0.396607 0.190996i
\(386\) 2.74817e7i 0.477839i
\(387\) −5.22733e7 + 1.76852e7i −0.901876 + 0.305124i
\(388\) 9.89958e6 0.169481
\(389\) 2.97591e7 6.17955e7i 0.505559 1.04980i −0.479493 0.877546i \(-0.659180\pi\)
0.985052 0.172258i \(-0.0551062\pi\)
\(390\) −5.02869e6 376848.i −0.0847737 0.00635291i
\(391\) −2.25386e7 2.82624e7i −0.377047 0.472802i
\(392\) 3.53477e7 1.14594e8i 0.586817 1.90241i
\(393\) −7.32714e6 + 1.26910e7i −0.120714 + 0.209082i
\(394\) −4.29650e7 + 2.48058e7i −0.702467 + 0.405570i
\(395\) −2.15068e7 + 4.90879e6i −0.348967 + 0.0796495i
\(396\) −2.00187e7 3.01734e6i −0.322367 0.0485890i
\(397\) 8.87772e7 + 8.23732e7i 1.41883 + 1.31648i 0.880747 + 0.473587i \(0.157041\pi\)
0.538081 + 0.842893i \(0.319149\pi\)
\(398\) 2.80048e7 3.51168e7i 0.444204 0.557014i
\(399\) −1.76402e7 2.58735e7i −0.277706 0.407320i
\(400\) −1.16590e7 + 1.08180e7i −0.182172 + 0.169031i
\(401\) −4.50688e6 6.01401e7i −0.0698945 0.932677i −0.916391 0.400283i \(-0.868912\pi\)
0.846497 0.532394i \(-0.178707\pi\)
\(402\) −1.97413e6 + 5.03001e6i −0.0303877 + 0.0774266i
\(403\) −1.14694e7 + 5.02507e7i −0.175237 + 0.767763i
\(404\) −2.86545e7 + 8.83873e6i −0.434558 + 0.134044i
\(405\) −1.73248e7 + 2.54109e7i −0.260798 + 0.382520i
\(406\) 920083. + 6.10435e6i 0.0137483 + 0.0912140i
\(407\) −3.42156e6 + 1.34286e6i −0.0507506 + 0.0199181i
\(408\) 1.65419e7 7.96615e6i 0.243559 0.117292i
\(409\) 1.47122e7 + 3.05503e7i 0.215035 + 0.446524i 0.980386 0.197089i \(-0.0631488\pi\)
−0.765351 + 0.643613i \(0.777435\pi\)
\(410\) −1.10621e7 2.81857e7i −0.160504 0.408956i
\(411\) −1.55952e7 + 2.35060e6i −0.224629 + 0.0338574i
\(412\) −4.04434e7 2.75739e7i −0.578304 0.394281i
\(413\) −5.38817e7 1.74680e8i −0.764876 2.47967i
\(414\) 1.33730e7 + 3.05230e6i 0.188464 + 0.0430156i
\(415\) 5.66631e7 + 2.22386e7i 0.792786 + 0.311145i
\(416\) −1.09390e8 + 8.19763e6i −1.51949 + 0.113870i
\(417\) 1.38725e7 + 1.49510e7i 0.191314 + 0.206188i
\(418\) 1.61643e7 1.10207e7i 0.221324 0.150896i
\(419\) 5.60089e7 + 4.46656e7i 0.761404 + 0.607200i 0.925281 0.379281i \(-0.123829\pi\)
−0.163877 + 0.986481i \(0.552400\pi\)
\(420\) 8.29977e6 8.94503e6i 0.112026 0.120735i
\(421\) −1.64585e7 + 1.09195e8i −0.220569 + 1.46338i 0.554859 + 0.831944i \(0.312772\pi\)
−0.775428 + 0.631436i \(0.782466\pi\)
\(422\) 510942. + 2.23858e6i 0.00679883 + 0.0297876i
\(423\) −2.22376e7 3.85166e7i −0.293810 0.508893i
\(424\) 4.33999e7 + 2.50569e7i 0.569365 + 0.328723i
\(425\) 7.51075e7 + 2.31676e7i 0.978400 + 0.301797i
\(426\) −291381. + 232369.i −0.00376905 + 0.00300572i
\(427\) 1.47934e7 1.97404e8i 0.190013 2.53555i
\(428\) 7.00826e7 + 3.37500e7i 0.893880 + 0.430470i
\(429\) 1.14936e7i 0.145574i
\(430\) 2.00152e7 + 5.58606e6i 0.251742 + 0.0702587i
\(431\) −1.42037e7 −0.177407 −0.0887034 0.996058i \(-0.528272\pi\)
−0.0887034 + 0.996058i \(0.528272\pi\)
\(432\) 5.23698e6 1.08747e7i 0.0649575 0.134886i
\(433\) 2.68472e7 + 2.01192e6i 0.330701 + 0.0247826i 0.239046 0.971008i \(-0.423165\pi\)
0.0916551 + 0.995791i \(0.470784\pi\)
\(434\) 2.38792e7 + 2.99436e7i 0.292113 + 0.366298i
\(435\) −298769. + 968585.i −0.00362967 + 0.0117671i
\(436\) 4.64933e7 8.05288e7i 0.560959 0.971609i
\(437\) 3.73835e7 2.15834e7i 0.447956 0.258628i
\(438\) 427062. 97474.1i 0.00508239 0.00116002i
\(439\) −1.17982e8 1.77829e7i −1.39451 0.210189i −0.591573 0.806251i \(-0.701493\pi\)
−0.802938 + 0.596062i \(0.796731\pi\)
\(440\) 1.28928e7 + 1.19628e7i 0.151352 + 0.140434i
\(441\) −1.18477e8 + 1.48565e8i −1.38139 + 1.73221i
\(442\) 5.05816e7 + 7.41895e7i 0.585768 + 0.859163i
\(443\) 1.15808e7 1.07454e7i 0.133207 0.123598i −0.610756 0.791819i \(-0.709134\pi\)
0.743963 + 0.668221i \(0.232944\pi\)
\(444\) −133427. 1.78046e6i −0.00152438 0.0203415i
\(445\) −3.34404e7 + 8.52048e7i −0.379482 + 0.966905i
\(446\) 1.50615e7 6.59889e7i 0.169772 0.743818i
\(447\) −8.27823e6 + 2.55350e6i −0.0926862 + 0.0285899i
\(448\) −1.35440e7 + 1.98654e7i −0.150630 + 0.220934i
\(449\) −3.93808e6 2.61275e7i −0.0435056 0.288641i 0.956489 0.291767i \(-0.0942431\pi\)
−0.999995 + 0.00312578i \(0.999005\pi\)
\(450\) −2.77633e7 + 1.08963e7i −0.304672 + 0.119575i
\(451\) −6.21774e7 + 2.99431e7i −0.677803 + 0.326412i
\(452\) −5.36041e6 1.11310e7i −0.0580474 0.120537i
\(453\) 5.40816e6 + 1.37798e7i 0.0581775 + 0.148234i
\(454\) 1.52656e7 2.30092e6i 0.163135 0.0245886i
\(455\) 1.13757e8 + 7.75579e7i 1.20765 + 0.823364i
\(456\) 6.46233e6 + 2.09504e7i 0.0681545 + 0.220951i
\(457\) −1.13700e8 2.59513e7i −1.19127 0.271901i −0.419475 0.907767i \(-0.637786\pi\)
−0.771799 + 0.635866i \(0.780643\pi\)
\(458\) 1.39565e6 + 547754.i 0.0145272 + 0.00570150i
\(459\) −5.94817e7 + 4.45754e6i −0.615100 + 0.0460954i
\(460\) 1.14411e7 + 1.23305e7i 0.117542 + 0.126680i
\(461\) −7.65641e7 + 5.22005e7i −0.781488 + 0.532809i −0.887089 0.461599i \(-0.847276\pi\)
0.105601 + 0.994409i \(0.466323\pi\)
\(462\) 6.67714e6 + 5.32484e6i 0.0677118 + 0.0539984i
\(463\) 1.02250e8 1.10199e8i 1.03020 1.11029i 0.0363728 0.999338i \(-0.488420\pi\)
0.993826 0.110952i \(-0.0353899\pi\)
\(464\) −544324. + 3.61135e6i −0.00544883 + 0.0361506i
\(465\) 1.39932e6 + 6.13084e6i 0.0139174 + 0.0609763i
\(466\) −2.41631e7 4.18518e7i −0.238779 0.413577i
\(467\) 1.10144e8 + 6.35918e7i 1.08146 + 0.624383i 0.931291 0.364277i \(-0.118684\pi\)
0.150172 + 0.988660i \(0.452017\pi\)
\(468\) 1.06027e8 + 3.27050e7i 1.03438 + 0.319063i
\(469\) 1.15343e8 9.19829e7i 1.11808 0.891638i
\(470\) −1.25155e6 + 1.67008e7i −0.0120547 + 0.160858i
\(471\) −7.61433e6 3.66687e6i −0.0728734 0.0350940i
\(472\) 1.27985e8i 1.21712i
\(473\) 9.28712e6 4.64429e7i 0.0877602 0.438870i
\(474\) 7.49976e6 0.0704227
\(475\) −4.07236e7 + 8.45633e7i −0.379984 + 0.789044i
\(476\) −2.16669e8 1.62371e7i −2.00898 0.150552i
\(477\) −4.95098e7 6.20833e7i −0.456180 0.572031i
\(478\) 9.98215e6 3.23613e7i 0.0913988 0.296308i
\(479\) −4.82434e7 + 8.35601e7i −0.438967 + 0.760313i −0.997610 0.0690952i \(-0.977989\pi\)
0.558643 + 0.829408i \(0.311322\pi\)
\(480\) −1.15905e7 + 6.69176e6i −0.104804 + 0.0605085i
\(481\) 1.96401e7 4.48272e6i 0.176485 0.0402816i
\(482\) 4.59820e7 + 6.93066e6i 0.410626 + 0.0618919i
\(483\) 1.38137e7 + 1.28172e7i 0.122594 + 0.113750i
\(484\) −4.32501e7 + 5.42339e7i −0.381462 + 0.478338i
\(485\) 7.67668e6 + 1.12596e7i 0.0672896 + 0.0986958i
\(486\) 2.50913e7 2.32814e7i 0.218582 0.202815i
\(487\) −4.53632e6 6.05329e7i −0.0392750 0.524089i −0.981796 0.189941i \(-0.939170\pi\)
0.942521 0.334148i \(-0.108449\pi\)
\(488\) −5.06348e7 + 1.29015e8i −0.435702 + 1.11015i
\(489\) 2.85755e6 1.25197e7i 0.0244381 0.107070i
\(490\) 6.83758e7 2.10911e7i 0.581185 0.179272i
\(491\) −7.28131e7 + 1.06797e8i −0.615128 + 0.902226i −0.999783 0.0208338i \(-0.993368\pi\)
0.384655 + 0.923060i \(0.374320\pi\)
\(492\) −4.99627e6 3.31481e7i −0.0419518 0.278332i
\(493\) 1.68008e7 6.59384e6i 0.140214 0.0550298i
\(494\) −9.66050e7 + 4.65225e7i −0.801343 + 0.385907i
\(495\) −1.20917e7 2.51088e7i −0.0996950 0.207019i
\(496\) 8.27789e6 + 2.10917e7i 0.0678382 + 0.172849i
\(497\) 1.00617e7 1.51655e6i 0.0819598 0.0123534i
\(498\) −1.70985e7 1.16576e7i −0.138443 0.0943888i
\(499\) 1.65286e7 + 5.35844e7i 0.133025 + 0.431258i 0.997439 0.0715238i \(-0.0227862\pi\)
−0.864413 + 0.502782i \(0.832310\pi\)
\(500\) −8.59319e7 1.96134e7i −0.687455 0.156907i
\(501\) 1.33131e7 + 5.22502e6i 0.105869 + 0.0415504i
\(502\) −5.78839e7 + 4.33780e6i −0.457559 + 0.0342893i
\(503\) 1.46923e8 + 1.58345e8i 1.15448 + 1.24423i 0.964972 + 0.262352i \(0.0844983\pi\)
0.189506 + 0.981880i \(0.439311\pi\)
\(504\) 1.57159e8 1.07149e8i 1.22758 0.836948i
\(505\) −3.22733e7 2.57371e7i −0.250593 0.199841i
\(506\) −8.00750e6 + 8.63003e6i −0.0618081 + 0.0666133i
\(507\) 5.13725e6 3.40835e7i 0.0394191 0.261529i
\(508\) 1.99000e7 + 8.71877e7i 0.151797 + 0.665065i
\(509\) −3.55365e7 6.15510e7i −0.269477 0.466748i 0.699250 0.714877i \(-0.253517\pi\)
−0.968727 + 0.248130i \(0.920184\pi\)
\(510\) 9.48735e6 + 5.47753e6i 0.0715212 + 0.0412928i
\(511\) −1.14283e7 3.52516e6i −0.0856484 0.0264190i
\(512\) −6.91581e7 + 5.51517e7i −0.515268 + 0.410912i
\(513\) 5.32290e6 7.10291e7i 0.0394272 0.526119i
\(514\) −9.38088e7 4.51759e7i −0.690803 0.332673i
\(515\) 6.73820e7i 0.493312i
\(516\) 2.02277e7 + 1.09604e7i 0.147231 + 0.0797769i
\(517\) 3.81714e7 0.276227
\(518\) 6.49479e6 1.34866e7i 0.0467279 0.0970314i
\(519\) −1.32385e6 99209.0i −0.00946973 0.000709658i
\(520\) −6.01006e7 7.53638e7i −0.427434 0.535985i
\(521\) −6.55005e7 + 2.12348e8i −0.463161 + 1.50153i 0.359581 + 0.933114i \(0.382920\pi\)
−0.822741 + 0.568416i \(0.807556\pi\)
\(522\) −3.42429e6 + 5.93104e6i −0.0240746 + 0.0416984i
\(523\) −1.04735e7 + 6.04690e6i −0.0732130 + 0.0422696i −0.536160 0.844117i \(-0.680125\pi\)
0.462947 + 0.886386i \(0.346792\pi\)
\(524\) −1.18373e8 + 2.70179e7i −0.822735 + 0.187784i
\(525\) −4.05153e7 6.10670e6i −0.279989 0.0422016i
\(526\) 9.26589e6 + 8.59749e6i 0.0636693 + 0.0590765i
\(527\) 6.98140e7 8.75440e7i 0.476992 0.598129i
\(528\) 2.84618e6 + 4.17458e6i 0.0193357 + 0.0283603i
\(529\) 8.94761e7 8.30217e7i 0.604422 0.560821i
\(530\) 2.23457e6 + 2.98182e7i 0.0150095 + 0.200288i
\(531\) 7.40902e7 1.88779e8i 0.494854 1.26087i
\(532\) 5.77347e7 2.52952e8i 0.383444 1.67998i
\(533\) 3.61430e8 1.11486e8i 2.38695 0.736276i
\(534\) 1.75296e7 2.57112e7i 0.115119 0.168849i
\(535\) 1.59592e7 + 1.05882e8i 0.104220 + 0.691453i
\(536\) −9.61495e7 + 3.77359e7i −0.624385 + 0.245053i
\(537\) 1.93672e7 9.32673e6i 0.125067 0.0602292i
\(538\) 1.74504e7 + 3.62361e7i 0.112062 + 0.232699i
\(539\) −5.95830e7 1.51815e8i −0.380501 0.969501i
\(540\) 2.74456e7 4.13676e6i 0.174298 0.0262711i
\(541\) −2.53162e8 1.72603e8i −1.59885 1.09008i −0.941771 0.336254i \(-0.890840\pi\)
−0.657077 0.753823i \(-0.728208\pi\)
\(542\) −4.42316e6 1.43395e7i −0.0277802 0.0900611i
\(543\) −1.81147e7 4.13457e6i −0.113144 0.0258244i
\(544\) 2.21833e8 + 8.70632e7i 1.37794 + 0.540802i
\(545\) 1.27646e8 9.56571e6i 0.788527 0.0590919i
\(546\) −3.18371e7 3.43123e7i −0.195594 0.210800i
\(547\) 1.64646e8 1.12254e8i 1.00598 0.685866i 0.0560823 0.998426i \(-0.482139\pi\)
0.949898 + 0.312560i \(0.101187\pi\)
\(548\) −1.02165e8 8.14735e7i −0.620810 0.495079i
\(549\) 1.49374e8 1.60986e8i 0.902727 0.972909i
\(550\) 3.81514e6 2.53118e7i 0.0229310 0.152137i
\(551\) 4.79583e6 + 2.10119e7i 0.0286688 + 0.125606i
\(552\) −6.59665e6 1.14257e7i −0.0392199 0.0679308i
\(553\) −1.77328e8 1.02381e8i −1.04858 0.605399i
\(554\) −1.06109e8 3.27303e7i −0.624054 0.192495i
\(555\) 1.92159e6 1.53242e6i 0.0112404 0.00896394i
\(556\) −1.26284e7 + 1.68515e8i −0.0734725 + 0.980422i
\(557\) 9.73437e7 + 4.68783e7i 0.563304 + 0.271273i 0.693790 0.720177i \(-0.255940\pi\)
−0.130486 + 0.991450i \(0.541654\pi\)
\(558\) 4.24887e7i 0.244552i
\(559\) −8.82689e7 + 2.44111e8i −0.505327 + 1.39750i
\(560\) 6.05232e7 0.344634
\(561\) 1.08336e7 2.24962e7i 0.0613599 0.127415i
\(562\) −1.39599e8 1.04615e7i −0.786456 0.0589367i
\(563\) 4.60339e7 + 5.77247e7i 0.257960 + 0.323472i 0.893900 0.448267i \(-0.147959\pi\)
−0.635939 + 0.771739i \(0.719387\pi\)
\(564\) −5.46529e6 + 1.77180e7i −0.0304632 + 0.0987594i
\(565\) 8.50347e6 1.47284e7i 0.0471466 0.0816604i
\(566\) 2.78537e7 1.60813e7i 0.153615 0.0886896i
\(567\) −2.78311e8 + 6.35226e7i −1.52680 + 0.348481i
\(568\) −7.04447e6 1.06178e6i −0.0384418 0.00579417i
\(569\) 2.21090e7 + 2.05141e7i 0.120014 + 0.111357i 0.737897 0.674913i \(-0.235819\pi\)
−0.617883 + 0.786270i \(0.712009\pi\)
\(570\) −8.15636e6 + 1.02278e7i −0.0440425 + 0.0552275i
\(571\) −3.38862e7 4.97019e7i −0.182018 0.266971i 0.724376 0.689405i \(-0.242128\pi\)
−0.906394 + 0.422434i \(0.861176\pi\)
\(572\) −6.98084e7 + 6.47728e7i −0.373009 + 0.346102i
\(573\) 2.94338e6 + 3.92767e7i 0.0156452 + 0.208771i
\(574\) 1.02679e8 2.61621e8i 0.542931 1.38336i
\(575\) 1.25681e7 5.50644e7i 0.0661097 0.289646i
\(576\) −2.54881e7 + 7.86205e6i −0.133374 + 0.0411404i
\(577\) 6.15092e7 9.02175e7i 0.320194 0.469638i −0.632071 0.774910i \(-0.717795\pi\)
0.952265 + 0.305272i \(0.0987475\pi\)
\(578\) −1.51233e7 1.00336e8i −0.0783182 0.519607i
\(579\) −3.89884e7 + 1.53018e7i −0.200863 + 0.0788328i
\(580\) −7.56660e6 + 3.64388e6i −0.0387808 + 0.0186758i
\(581\) 2.45147e8 + 5.09053e8i 1.24997 + 2.59558i
\(582\) −1.69262e6 4.31274e6i −0.00858601 0.0218768i
\(583\) 6.73914e7 1.01576e7i 0.340094 0.0512609i
\(584\) 6.91835e6 + 4.71685e6i 0.0347347 + 0.0236817i
\(585\) 4.50210e7 + 1.45954e8i 0.224878 + 0.729037i
\(586\) 7.72622e6 + 1.76346e6i 0.0383949 + 0.00876340i
\(587\) 9.31633e7 + 3.65639e7i 0.460607 + 0.180775i 0.584287 0.811547i \(-0.301374\pi\)
−0.123680 + 0.992322i \(0.539470\pi\)
\(588\) 7.89990e7 5.92016e6i 0.388588 0.0291207i
\(589\) 9.09463e7 + 9.80169e7i 0.445081 + 0.479684i
\(590\) −6.30963e7 + 4.30183e7i −0.307219 + 0.209458i
\(591\) −5.91150e7 4.71426e7i −0.286375 0.228376i
\(592\) 6.02340e6 6.49168e6i 0.0290320 0.0312890i
\(593\) 5.46114e6 3.62323e7i 0.0261890 0.173753i −0.971913 0.235342i \(-0.924379\pi\)
0.998102 + 0.0615896i \(0.0196170\pi\)
\(594\) 4.32267e6 + 1.89388e7i 0.0206249 + 0.0903637i
\(595\) −1.49549e8 2.59027e8i −0.709959 1.22969i
\(596\) −6.21615e7 3.58889e7i −0.293618 0.169520i
\(597\) 6.54134e7 + 2.01774e7i 0.307428 + 0.0948290i
\(598\) 5.04462e7 4.02295e7i 0.235898 0.188123i
\(599\) 1.60476e7 2.14141e8i 0.0746673 0.996366i −0.826512 0.562919i \(-0.809678\pi\)
0.901179 0.433447i \(-0.142703\pi\)
\(600\) 2.58456e7 + 1.24466e7i 0.119655 + 0.0576230i
\(601\) 5.00133e7i 0.230389i −0.993343 0.115195i \(-0.963251\pi\)
0.993343 0.115195i \(-0.0367492\pi\)
\(602\) 1.00921e8 + 1.64373e8i 0.462586 + 0.753426i
\(603\) 1.63667e8 0.746463
\(604\) −5.32159e7 + 1.10504e8i −0.241507 + 0.501495i
\(605\) −9.52233e7 7.13600e6i −0.430008 0.0322247i
\(606\) 8.74990e6 + 1.09720e7i 0.0393174 + 0.0493025i
\(607\) −1.05743e7 + 3.42810e7i −0.0472809 + 0.153281i −0.976135 0.217165i \(-0.930319\pi\)
0.928854 + 0.370446i \(0.120795\pi\)
\(608\) −1.42285e8 + 2.46445e8i −0.633065 + 1.09650i
\(609\) −8.14795e6 + 4.70422e6i −0.0360742 + 0.0208274i
\(610\) −8.06237e7 + 1.84018e7i −0.355200 + 0.0810721i
\(611\) −2.06870e8 3.11807e7i −0.906931 0.136698i
\(612\) −1.76697e8 1.63951e8i −0.770861 0.715254i
\(613\) −1.06882e8 + 1.34026e8i −0.464008 + 0.581847i −0.957692 0.287794i \(-0.907078\pi\)
0.493685 + 0.869641i \(0.335650\pi\)
\(614\) −2.28988e6 3.35864e6i −0.00989253 0.0145097i
\(615\) 3.38277e7 3.13875e7i 0.145428 0.134937i
\(616\) 1.21998e7 + 1.62794e8i 0.0521926 + 0.696462i
\(617\) 1.16211e8 2.96100e8i 0.494755 1.26061i −0.437633 0.899154i \(-0.644183\pi\)
0.932387 0.361461i \(-0.117722\pi\)
\(618\) −5.09752e6 + 2.23337e7i −0.0215970 + 0.0946226i
\(619\) 1.57534e8 4.85929e7i 0.664206 0.204880i 0.0557217 0.998446i \(-0.482254\pi\)
0.608484 + 0.793566i \(0.291778\pi\)
\(620\) −2.93508e7 + 4.30497e7i −0.123153 + 0.180632i
\(621\) 6.38833e6 + 4.23838e7i 0.0266755 + 0.176980i
\(622\) 8.04019e7 3.15554e7i 0.334114 0.131130i
\(623\) −7.65468e8 + 3.68630e8i −3.16565 + 1.52450i
\(624\) −1.20149e7 2.49491e7i −0.0494498 0.102684i
\(625\) 1.89316e7 + 4.82369e7i 0.0775438 + 0.197578i
\(626\) −1.19477e8 + 1.80083e7i −0.487036 + 0.0734089i
\(627\) 2.46353e7 + 1.67961e7i 0.0999437 + 0.0681404i
\(628\) −2.06396e7 6.69118e7i −0.0833338 0.270162i
\(629\) −4.26665e7 9.73835e6i −0.171449 0.0391321i
\(630\) 1.05649e8 + 4.14641e7i 0.422516 + 0.165825i
\(631\) −2.22341e7 + 1.66622e6i −0.0884977 + 0.00663199i −0.118905 0.992906i \(-0.537939\pi\)
0.0304076 + 0.999538i \(0.490319\pi\)
\(632\) 9.75092e7 + 1.05090e8i 0.386273 + 0.416303i
\(633\) −2.89139e6 + 1.97131e6i −0.0113997 + 0.00777222i
\(634\) −1.10369e8 8.80160e7i −0.433089 0.345377i
\(635\) −8.37343e7 + 9.02441e7i −0.327026 + 0.352450i
\(636\) −4.93408e6 + 3.27355e7i −0.0191794 + 0.127247i
\(637\) 1.98899e8 + 8.71433e8i 0.769510 + 3.37144i
\(638\) −2.93894e6 5.09040e6i −0.0113169 0.0196015i
\(639\) 9.77600e6 + 5.64417e6i 0.0374678 + 0.0216321i
\(640\) −1.28903e8 3.97612e7i −0.491725 0.151677i
\(641\) 1.62617e8 1.29683e8i 0.617436 0.492388i −0.264107 0.964493i \(-0.585077\pi\)
0.881542 + 0.472105i \(0.156506\pi\)
\(642\) 2.72045e6 3.63019e7i 0.0102810 0.137191i
\(643\) −1.35052e8 6.50378e7i −0.508007 0.244643i 0.162281 0.986745i \(-0.448115\pi\)
−0.670288 + 0.742101i \(0.733829\pi\)
\(644\) 1.56132e8i 0.584566i
\(645\) 3.21952e6 + 3.15060e7i 0.0119981 + 0.117412i
\(646\) 2.32934e8 0.864043
\(647\) 1.86732e8 3.87754e8i 0.689456 1.43167i −0.202377 0.979308i \(-0.564867\pi\)
0.891834 0.452363i \(-0.149419\pi\)
\(648\) 1.99306e8 + 1.49359e7i 0.732479 + 0.0548917i
\(649\) 1.08521e8 + 1.36081e8i 0.396989 + 0.497809i
\(650\) −4.13523e7 + 1.34061e8i −0.150577 + 0.488160i
\(651\) −2.91851e7 + 5.05501e7i −0.105784 + 0.183222i
\(652\) 9.21446e7 5.31997e7i 0.332451 0.191940i
\(653\) −1.47513e8 + 3.36688e7i −0.529774 + 0.120917i −0.479037 0.877795i \(-0.659014\pi\)
−0.0507365 + 0.998712i \(0.516157\pi\)
\(654\) −4.30316e7 6.48597e6i −0.153835 0.0231869i
\(655\) −1.22523e8 1.13685e8i −0.436007 0.404556i
\(656\) 1.03667e8 1.29994e8i 0.367223 0.460483i
\(657\) −7.47405e6 1.09624e7i −0.0263548 0.0386554i
\(658\) −1.13955e8 + 1.05734e8i −0.399994 + 0.371141i
\(659\) −1.04654e7 1.39650e8i −0.0365677 0.487962i −0.985180 0.171522i \(-0.945131\pi\)
0.948613 0.316440i \(-0.102488\pi\)
\(660\) −4.24472e6 + 1.08154e7i −0.0147644 + 0.0376192i
\(661\) 4.16615e7 1.82531e8i 0.144255 0.632022i −0.850164 0.526518i \(-0.823497\pi\)
0.994419 0.105504i \(-0.0336456\pi\)
\(662\) 1.49003e8 4.59613e7i 0.513595 0.158423i
\(663\) −7.70890e7 + 1.13069e8i −0.264516 + 0.387974i
\(664\) −5.89578e7 3.91159e8i −0.201390 1.33613i
\(665\) 3.32474e8 1.30486e8i 1.13056 0.443711i
\(666\) 1.49618e7 7.20523e6i 0.0506479 0.0243907i
\(667\) −5.62719e6 1.16850e7i −0.0189633 0.0393777i
\(668\) 4.32917e7 + 1.10306e8i 0.145236 + 0.370056i
\(669\) 1.02005e8 1.53748e7i 0.340677 0.0513488i
\(670\) −5.09215e7 3.47177e7i −0.169308 0.115432i
\(671\) 5.55568e7 + 1.80111e8i 0.183895 + 0.596172i
\(672\) −1.21112e8 2.76430e7i −0.399097 0.0910913i
\(673\) 2.07444e8 + 8.14157e7i 0.680542 + 0.267093i 0.680329 0.732907i \(-0.261837\pi\)
0.000213190 1.00000i \(0.499932\pi\)
\(674\) 1.42226e8 1.06583e7i 0.464514 0.0348105i
\(675\) −6.33899e7 6.83181e7i −0.206115 0.222139i
\(676\) 2.35963e8 1.60877e8i 0.763843 0.520779i
\(677\) 2.68608e8 + 2.14207e8i 0.865670 + 0.690349i 0.952060 0.305913i \(-0.0989616\pi\)
−0.0863896 + 0.996261i \(0.527533\pi\)
\(678\) −3.93268e6 + 4.23843e6i −0.0126183 + 0.0135993i
\(679\) −1.88526e7 + 1.25079e8i −0.0602229 + 0.399553i
\(680\) 4.65976e7 + 2.04158e8i 0.148196 + 0.649290i
\(681\) 1.17642e7 + 2.03762e7i 0.0372496 + 0.0645182i
\(682\) −3.15809e7 1.82333e7i −0.0995570 0.0574793i
\(683\) −4.47755e8 1.38114e8i −1.40533 0.433487i −0.502908 0.864340i \(-0.667736\pi\)
−0.902422 + 0.430854i \(0.858213\pi\)
\(684\) 2.25041e8 1.79464e8i 0.703223 0.560802i
\(685\) 1.34426e7 1.79379e8i 0.0418227 0.558085i
\(686\) 3.41252e8 + 1.64338e8i 1.05707 + 0.509057i
\(687\) 2.28501e6i 0.00704721i
\(688\) 2.83896e7 + 1.10522e8i 0.0871756 + 0.339377i
\(689\) −3.73526e8 −1.14199
\(690\) 3.41559e6 7.09255e6i 0.0103973 0.0215901i
\(691\) −1.55133e8 1.16256e7i −0.470188 0.0352357i −0.162470 0.986713i \(-0.551946\pi\)
−0.307717 + 0.951478i \(0.599565\pi\)
\(692\) −6.85807e6 8.59975e6i −0.0206959 0.0259518i
\(693\) 7.62467e7 2.47186e8i 0.229098 0.742717i
\(694\) 3.19518e7 5.53421e7i 0.0955909 0.165568i
\(695\) −2.01458e8 + 1.16312e8i −0.600110 + 0.346474i
\(696\) 6.42198e6 1.46578e6i 0.0190477 0.00434750i
\(697\) −8.12505e8 1.22465e8i −2.39954 0.361672i
\(698\) 2.29753e7 + 2.13179e7i 0.0675607 + 0.0626872i
\(699\) 4.59212e7 5.75833e7i 0.134456 0.168603i
\(700\) −1.91236e8 2.80492e8i −0.557539 0.817760i
\(701\) −3.63528e8 + 3.37305e8i −1.05532 + 0.979194i −0.999814 0.0192642i \(-0.993868\pi\)
−0.0555059 + 0.998458i \(0.517677\pi\)
\(702\) −7.95635e6 1.06170e8i −0.0229987 0.306896i
\(703\) 1.90926e7 4.86472e7i 0.0549540 0.140021i
\(704\) 5.09408e6 2.23186e7i 0.0145998 0.0639661i
\(705\) −2.43903e7 + 7.52341e6i −0.0696065 + 0.0214708i
\(706\) −1.03095e8 + 1.51213e8i −0.292972 + 0.429710i
\(707\) −5.71062e7 3.78875e8i −0.161594 1.07210i
\(708\) −7.87024e7 + 3.08884e7i −0.221763 + 0.0870354i
\(709\) 2.34023e8 1.12699e8i 0.656628 0.316215i −0.0757367 0.997128i \(-0.524131\pi\)
0.732365 + 0.680912i \(0.238417\pi\)
\(710\) −1.84433e6 3.82980e6i −0.00515305 0.0107004i
\(711\) −8.29905e7 2.11456e8i −0.230898 0.588318i
\(712\) 5.88190e8 8.86554e7i 1.62959 0.245621i
\(713\) −6.64810e7 4.53259e7i −0.183412 0.125048i
\(714\) 2.99723e7 + 9.71677e7i 0.0823427 + 0.266948i
\(715\) −1.27805e8 2.91706e7i −0.349646 0.0798045i
\(716\) 1.65792e8 + 6.50686e7i 0.451674 + 0.177269i
\(717\) 5.14691e7 3.85708e6i 0.139633 0.0104641i
\(718\) 4.81318e7 + 5.18737e7i 0.130034 + 0.140144i
\(719\) 3.66219e8 2.49684e8i 0.985269 0.671745i 0.0403964 0.999184i \(-0.487138\pi\)
0.944872 + 0.327439i \(0.106186\pi\)
\(720\) 5.24950e7 + 4.18633e7i 0.140644 + 0.112160i
\(721\) 4.25409e8 4.58482e8i 1.13501 1.22325i
\(722\) −1.42678e7 + 9.46604e7i −0.0379092 + 0.251511i
\(723\) 1.57702e7 + 6.90937e7i 0.0417274 + 0.182820i
\(724\) −7.69744e7 1.33324e8i −0.202829 0.351311i
\(725\) 2.44215e7 + 1.40997e7i 0.0640852 + 0.0369996i
\(726\) 3.10218e7 + 9.56895e6i 0.0810694 + 0.0250066i
\(727\) 7.41215e7 5.91099e7i 0.192904 0.153836i −0.522275 0.852777i \(-0.674917\pi\)
0.715179 + 0.698941i \(0.246345\pi\)
\(728\) 6.68635e7 8.92231e8i 0.173299 2.31251i
\(729\) −2.52689e8 1.21688e8i −0.652233 0.314099i
\(730\) 4.99616e6i 0.0128430i
\(731\) 4.02861e8 3.94594e8i 1.03134 1.01018i
\(732\) −9.15565e7 −0.233430
\(733\) −2.55365e6 + 5.30270e6i −0.00648409 + 0.0134643i −0.904186 0.427139i \(-0.859521\pi\)
0.897702 + 0.440604i \(0.145236\pi\)
\(734\) −3.16034e8 2.36835e7i −0.799182 0.0598904i
\(735\) 6.79937e7 + 8.52614e7i 0.171240 + 0.214729i
\(736\) 5.04750e7 1.63636e8i 0.126603 0.410436i
\(737\) −7.02346e7 + 1.21650e8i −0.175448 + 0.303885i
\(738\) 2.70019e8 1.55896e8i 0.671778 0.387851i
\(739\) −4.50842e8 + 1.02902e8i −1.11710 + 0.254970i −0.740931 0.671581i \(-0.765615\pi\)
−0.376167 + 0.926552i \(0.622758\pi\)
\(740\) 2.01367e7 + 3.03511e6i 0.0496927 + 0.00748996i
\(741\) −1.19791e8 1.11150e8i −0.294422 0.273184i
\(742\) −1.73050e8 + 2.16997e8i −0.423603 + 0.531181i
\(743\) 4.14252e8 + 6.07596e8i 1.00995 + 1.48132i 0.871162 + 0.490996i \(0.163367\pi\)
0.138784 + 0.990323i \(0.455681\pi\)
\(744\) 2.99574e7 2.77964e7i 0.0727421 0.0674948i
\(745\) −7.38393e6 9.85317e7i −0.0178574 0.238291i
\(746\) −1.97674e7 + 5.03665e7i −0.0476138 + 0.121318i
\(747\) −1.39478e8 + 6.11094e8i −0.334614 + 1.46604i
\(748\) 1.97688e8 6.09787e7i 0.472363 0.145705i
\(749\) −5.59888e8 + 8.21205e8i −1.33246 + 1.95437i
\(750\) 6.14804e6 + 4.07896e7i 0.0145731 + 0.0966864i
\(751\) −5.34980e8 + 2.09964e8i −1.26304 + 0.495707i −0.899928 0.436038i \(-0.856381\pi\)
−0.363113 + 0.931745i \(0.618286\pi\)
\(752\) −8.28585e7 + 3.99025e7i −0.194842 + 0.0938311i