Properties

Label 43.7.f.a.2.17
Level 43
Weight 7
Character 43.2
Analytic conductor 9.892
Analytic rank 0
Dimension 126
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.f (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(126\)
Relative dimension: \(21\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 2.17
Character \(\chi\) \(=\) 43.2
Dual form 43.7.f.a.22.17

$q$-expansion

\(f(q)\) \(=\) \(q+(3.58164 + 7.43735i) q^{2} +(3.11543 - 6.46926i) q^{3} +(-2.58264 + 3.23853i) q^{4} +(50.0201 + 11.4168i) q^{5} +59.2725 q^{6} -578.950i q^{7} +(481.727 + 109.951i) q^{8} +(422.379 + 529.646i) q^{9} +O(q^{10})\) \(q+(3.58164 + 7.43735i) q^{2} +(3.11543 - 6.46926i) q^{3} +(-2.58264 + 3.23853i) q^{4} +(50.0201 + 11.4168i) q^{5} +59.2725 q^{6} -578.950i q^{7} +(481.727 + 109.951i) q^{8} +(422.379 + 529.646i) q^{9} +(94.2435 + 412.908i) q^{10} +(177.289 + 222.313i) q^{11} +(12.9049 + 26.7972i) q^{12} +(522.456 - 2289.03i) q^{13} +(4305.85 - 2073.59i) q^{14} +(229.692 - 288.025i) q^{15} +(966.619 + 4235.03i) q^{16} +(1016.14 + 4452.02i) q^{17} +(-2426.35 + 5038.38i) q^{18} +(-268.840 - 214.393i) q^{19} +(-166.158 + 132.506i) q^{20} +(-3745.38 - 1803.68i) q^{21} +(-1018.43 + 2114.80i) q^{22} +(11991.2 + 15036.5i) q^{23} +(2212.09 - 2773.87i) q^{24} +(-11706.0 - 5637.30i) q^{25} +(18895.6 - 4312.79i) q^{26} +(9845.54 - 2247.18i) q^{27} +(1874.95 + 1495.22i) q^{28} +(-10841.4 - 22512.5i) q^{29} +(2964.82 + 676.700i) q^{30} +(-12411.4 + 5977.03i) q^{31} +(-3311.16 + 2640.56i) q^{32} +(1990.53 - 454.326i) q^{33} +(-29471.7 + 23502.9i) q^{34} +(6609.74 - 28959.2i) q^{35} -2806.13 q^{36} -86593.0i q^{37} +(631.627 - 2767.34i) q^{38} +(-13180.7 - 10511.2i) q^{39} +(22840.8 + 10999.5i) q^{40} +(-100062. + 48187.1i) q^{41} -34315.8i q^{42} +(50098.1 - 61737.7i) q^{43} -1177.84 q^{44} +(15080.6 + 31315.2i) q^{45} +(-68883.4 + 143038. i) q^{46} +(-68513.9 + 85913.7i) q^{47} +(30409.0 + 6940.65i) q^{48} -217535. q^{49} -107252. i q^{50} +(31967.0 + 7296.25i) q^{51} +(6063.78 + 7603.74i) q^{52} +(16805.6 + 73630.1i) q^{53} +(51976.2 + 65176.1i) q^{54} +(6329.91 + 13144.2i) q^{55} +(63656.2 - 278896. i) q^{56} +(-2224.52 + 1071.27i) q^{57} +(128603. - 161263. i) q^{58} +(82828.7 + 362896. i) q^{59} +(339.565 + 1487.73i) q^{60} +(-23746.6 + 49310.3i) q^{61} +(-88906.4 - 70900.5i) q^{62} +(306639. - 244536. i) q^{63} +(218982. + 105456. i) q^{64} +(52266.7 - 108533. i) q^{65} +(10508.3 + 13177.0i) q^{66} +(-227135. + 284818. i) q^{67} +(-17042.3 - 8207.16i) q^{68} +(134633. - 30729.0i) q^{69} +(239053. - 54562.3i) q^{70} +(-41341.7 - 32968.9i) q^{71} +(145236. + 301586. i) q^{72} +(57019.6 + 13014.4i) q^{73} +(644022. - 310145. i) q^{74} +(-72938.3 + 58166.3i) q^{75} +(1388.64 - 316.948i) q^{76} +(128708. - 102641. i) q^{77} +(30967.3 - 135676. i) q^{78} -442938. q^{79} +222873. i q^{80} +(-93757.7 + 410780. i) q^{81} +(-716769. - 571604. i) q^{82} +(-183088. - 88170.7i) q^{83} +(15514.3 - 7471.27i) q^{84} +234292. i q^{85} +(638598. + 151475. i) q^{86} -179415. q^{87} +(60961.2 + 126587. i) q^{88} +(-244378. + 507456. i) q^{89} +(-178889. + 224319. i) q^{90} +(-1.32524e6 - 302476. i) q^{91} -79665.1 q^{92} +98913.7i q^{93} +(-884362. - 201850. i) q^{94} +(-10999.8 - 13793.3i) q^{95} +(6766.78 + 29647.2i) q^{96} +(540180. + 677364. i) q^{97} +(-779130. - 1.61788e6i) q^{98} +(-42864.2 + 187801. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 126q - 7q^{2} - 7q^{3} + 725q^{4} - 7q^{5} + 244q^{6} + 2233q^{8} + 6312q^{9} + O(q^{10}) \) \( 126q - 7q^{2} - 7q^{3} + 725q^{4} - 7q^{5} + 244q^{6} + 2233q^{8} + 6312q^{9} + 1955q^{10} - 985q^{11} - 455q^{12} - 4485q^{13} - 6771q^{14} + 5017q^{15} - 41935q^{16} - 10409q^{17} - 5110q^{18} - 33397q^{19} - 24507q^{20} - 5448q^{21} + 25193q^{22} - 29017q^{23} - 1885q^{24} - 2080q^{25} + 34713q^{26} - 7q^{27} + 28665q^{28} + 17353q^{29} - 290052q^{30} + 13547q^{31} + 458283q^{32} - 94801q^{33} - 191527q^{34} + 183008q^{35} + 956352q^{36} + 304607q^{38} - 381031q^{39} + 66419q^{40} + 313447q^{41} - 323228q^{43} + 281588q^{44} - 1237551q^{45} + 80948q^{46} - 180133q^{47} - 762055q^{48} - 1861754q^{49} + 999215q^{51} + 471797q^{52} + 1030011q^{53} - 92099q^{54} + 324233q^{55} - 842713q^{56} + 331037q^{57} + 849461q^{58} - 369609q^{59} + 553323q^{60} - 594727q^{61} - 886711q^{62} + 1914136q^{63} - 3250219q^{64} + 1473521q^{65} - 427559q^{66} + 122535q^{67} - 602346q^{68} + 4320057q^{69} - 1694994q^{70} - 770707q^{71} - 391202q^{72} + 476945q^{73} - 3943812q^{74} + 2061367q^{75} - 2044462q^{76} + 3016216q^{77} + 239350q^{78} + 5077268q^{79} + 2388946q^{81} + 5820437q^{82} - 1324235q^{83} + 3759618q^{84} - 4967947q^{86} - 3537894q^{87} - 7289555q^{88} - 4331495q^{89} - 12825206q^{90} + 1802976q^{91} - 12038260q^{92} + 6249341q^{94} - 5313259q^{95} + 7069598q^{96} + 788975q^{97} + 4724783q^{98} - 2216971q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{9}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.58164 + 7.43735i 0.447705 + 0.929668i 0.995652 + 0.0931552i \(0.0296953\pi\)
−0.547947 + 0.836513i \(0.684590\pi\)
\(3\) 3.11543 6.46926i 0.115386 0.239602i −0.835275 0.549832i \(-0.814692\pi\)
0.950662 + 0.310230i \(0.100406\pi\)
\(4\) −2.58264 + 3.23853i −0.0403538 + 0.0506021i
\(5\) 50.0201 + 11.4168i 0.400161 + 0.0913341i 0.417865 0.908509i \(-0.362779\pi\)
−0.0177040 + 0.999843i \(0.505636\pi\)
\(6\) 59.2725 0.274410
\(7\) 578.950i 1.68790i −0.536420 0.843951i \(-0.680224\pi\)
0.536420 0.843951i \(-0.319776\pi\)
\(8\) 481.727 + 109.951i 0.940873 + 0.214748i
\(9\) 422.379 + 529.646i 0.579395 + 0.726538i
\(10\) 94.2435 + 412.908i 0.0942435 + 0.412908i
\(11\) 177.289 + 222.313i 0.133200 + 0.167027i 0.843958 0.536409i \(-0.180220\pi\)
−0.710759 + 0.703436i \(0.751648\pi\)
\(12\) 12.9049 + 26.7972i 0.00746809 + 0.0155077i
\(13\) 522.456 2289.03i 0.237804 1.04189i −0.705174 0.709035i \(-0.749131\pi\)
0.942978 0.332855i \(-0.108012\pi\)
\(14\) 4305.85 2073.59i 1.56919 0.755682i
\(15\) 229.692 288.025i 0.0680570 0.0853407i
\(16\) 966.619 + 4235.03i 0.235991 + 1.03394i
\(17\) 1016.14 + 4452.02i 0.206828 + 0.906171i 0.966662 + 0.256055i \(0.0824227\pi\)
−0.759835 + 0.650116i \(0.774720\pi\)
\(18\) −2426.35 + 5038.38i −0.416042 + 0.863919i
\(19\) −268.840 214.393i −0.0391953 0.0312572i 0.603696 0.797214i \(-0.293694\pi\)
−0.642892 + 0.765957i \(0.722265\pi\)
\(20\) −166.158 + 132.506i −0.0207697 + 0.0165633i
\(21\) −3745.38 1803.68i −0.404425 0.194761i
\(22\) −1018.43 + 2114.80i −0.0956456 + 0.198610i
\(23\) 11991.2 + 15036.5i 0.985550 + 1.23584i 0.971769 + 0.235936i \(0.0758156\pi\)
0.0137817 + 0.999905i \(0.495613\pi\)
\(24\) 2212.09 2773.87i 0.160018 0.200656i
\(25\) −11706.0 5637.30i −0.749182 0.360787i
\(26\) 18895.6 4312.79i 1.07508 0.245379i
\(27\) 9845.54 2247.18i 0.500205 0.114169i
\(28\) 1874.95 + 1495.22i 0.0854114 + 0.0681133i
\(29\) −10841.4 22512.5i −0.444522 0.923059i −0.996041 0.0888969i \(-0.971666\pi\)
0.551519 0.834162i \(-0.314048\pi\)
\(30\) 2964.82 + 676.700i 0.109808 + 0.0250630i
\(31\) −12411.4 + 5977.03i −0.416616 + 0.200632i −0.630436 0.776241i \(-0.717124\pi\)
0.213819 + 0.976873i \(0.431410\pi\)
\(32\) −3311.16 + 2640.56i −0.101048 + 0.0805835i
\(33\) 1990.53 454.326i 0.0553895 0.0126423i
\(34\) −29471.7 + 23502.9i −0.749841 + 0.597978i
\(35\) 6609.74 28959.2i 0.154163 0.675433i
\(36\) −2806.13 −0.0601451
\(37\) 86593.0i 1.70953i −0.519012 0.854767i \(-0.673700\pi\)
0.519012 0.854767i \(-0.326300\pi\)
\(38\) 631.627 2767.34i 0.0115109 0.0504326i
\(39\) −13180.7 10511.2i −0.222200 0.177198i
\(40\) 22840.8 + 10999.5i 0.356887 + 0.171868i
\(41\) −100062. + 48187.1i −1.45183 + 0.699165i −0.982912 0.184076i \(-0.941071\pi\)
−0.468919 + 0.883241i \(0.655356\pi\)
\(42\) 34315.8i 0.463176i
\(43\) 50098.1 61737.7i 0.630109 0.776506i
\(44\) −1177.84 −0.0138270
\(45\) 15080.6 + 31315.2i 0.165493 + 0.343651i
\(46\) −68883.4 + 143038.i −0.707687 + 1.46953i
\(47\) −68513.9 + 85913.7i −0.659911 + 0.827502i −0.993334 0.115276i \(-0.963225\pi\)
0.333423 + 0.942777i \(0.391796\pi\)
\(48\) 30409.0 + 6940.65i 0.274965 + 0.0627590i
\(49\) −217535. −1.84901
\(50\) 107252.i 0.858017i
\(51\) 31967.0 + 7296.25i 0.240986 + 0.0550034i
\(52\) 6063.78 + 7603.74i 0.0431254 + 0.0540776i
\(53\) 16805.6 + 73630.1i 0.112882 + 0.494570i 0.999487 + 0.0320409i \(0.0102007\pi\)
−0.886604 + 0.462529i \(0.846942\pi\)
\(54\) 51976.2 + 65176.1i 0.330083 + 0.413911i
\(55\) 6329.91 + 13144.2i 0.0380460 + 0.0790034i
\(56\) 63656.2 278896.i 0.362474 1.58810i
\(57\) −2224.52 + 1071.27i −0.0120119 + 0.00578462i
\(58\) 128603. 161263.i 0.659124 0.826516i
\(59\) 82828.7 + 362896.i 0.403297 + 1.76696i 0.613897 + 0.789386i \(0.289601\pi\)
−0.210600 + 0.977572i \(0.567542\pi\)
\(60\) 339.565 + 1487.73i 0.00157206 + 0.00688765i
\(61\) −23746.6 + 49310.3i −0.104619 + 0.217244i −0.946707 0.322097i \(-0.895612\pi\)
0.842088 + 0.539341i \(0.181327\pi\)
\(62\) −88906.4 70900.5i −0.373042 0.297491i
\(63\) 306639. 244536.i 1.22632 0.977961i
\(64\) 218982. + 105456.i 0.835352 + 0.402284i
\(65\) 52266.7 108533.i 0.190320 0.395204i
\(66\) 10508.3 + 13177.0i 0.0365512 + 0.0458338i
\(67\) −227135. + 284818.i −0.755194 + 0.946984i −0.999743 0.0226530i \(-0.992789\pi\)
0.244549 + 0.969637i \(0.421360\pi\)
\(68\) −17042.3 8207.16i −0.0542004 0.0261015i
\(69\) 134633. 30729.0i 0.409829 0.0935409i
\(70\) 239053. 54562.3i 0.696948 0.159074i
\(71\) −41341.7 32968.9i −0.115508 0.0921149i 0.564032 0.825753i \(-0.309249\pi\)
−0.679541 + 0.733638i \(0.737821\pi\)
\(72\) 145236. + 301586.i 0.389114 + 0.808004i
\(73\) 57019.6 + 13014.4i 0.146574 + 0.0334545i 0.295178 0.955442i \(-0.404621\pi\)
−0.148605 + 0.988897i \(0.547478\pi\)
\(74\) 644022. 310145.i 1.58930 0.765366i
\(75\) −72938.3 + 58166.3i −0.172891 + 0.137876i
\(76\) 1388.64 316.948i 0.00316336 0.000722016i
\(77\) 128708. 102641.i 0.281925 0.224828i
\(78\) 30967.3 135676.i 0.0652558 0.285904i
\(79\) −442938. −0.898383 −0.449192 0.893435i \(-0.648288\pi\)
−0.449192 + 0.893435i \(0.648288\pi\)
\(80\) 222873.i 0.435298i
\(81\) −93757.7 + 410780.i −0.176422 + 0.772954i
\(82\) −716769. 571604.i −1.29998 1.03670i
\(83\) −183088. 88170.7i −0.320204 0.154202i 0.266876 0.963731i \(-0.414008\pi\)
−0.587080 + 0.809529i \(0.699723\pi\)
\(84\) 15514.3 7471.27i 0.0261754 0.0126054i
\(85\) 234292.i 0.381505i
\(86\) 638598. + 151475.i 1.00400 + 0.238147i
\(87\) −179415. −0.272459
\(88\) 60961.2 + 126587.i 0.0894552 + 0.185756i
\(89\) −244378. + 507456.i −0.346651 + 0.719827i −0.999284 0.0378470i \(-0.987950\pi\)
0.652633 + 0.757674i \(0.273664\pi\)
\(90\) −178889. + 224319.i −0.245389 + 0.307708i
\(91\) −1.32524e6 302476.i −1.75861 0.401391i
\(92\) −79665.1 −0.102307
\(93\) 98913.7i 0.122972i
\(94\) −884362. 201850.i −1.06475 0.243022i
\(95\) −10999.8 13793.3i −0.0128296 0.0160878i
\(96\) 6766.78 + 29647.2i 0.00764836 + 0.0335097i
\(97\) 540180. + 677364.i 0.591865 + 0.742176i 0.984085 0.177696i \(-0.0568642\pi\)
−0.392220 + 0.919871i \(0.628293\pi\)
\(98\) −779130. 1.61788e6i −0.827812 1.71897i
\(99\) −42864.2 + 187801.i −0.0441763 + 0.193549i
\(100\) 48488.9 23351.0i 0.0484889 0.0233510i
\(101\) 821650. 1.03032e6i 0.797486 1.00002i −0.202300 0.979324i \(-0.564842\pi\)
0.999786 0.0206917i \(-0.00658685\pi\)
\(102\) 60229.3 + 263882.i 0.0567555 + 0.248662i
\(103\) 180295. + 789924.i 0.164995 + 0.722892i 0.987949 + 0.154783i \(0.0494678\pi\)
−0.822953 + 0.568109i \(0.807675\pi\)
\(104\) 503363. 1.04524e6i 0.447488 0.929218i
\(105\) −166752. 132980.i −0.144047 0.114873i
\(106\) −487421. + 388705.i −0.409248 + 0.326364i
\(107\) −376500. 181313.i −0.307336 0.148005i 0.273858 0.961770i \(-0.411700\pi\)
−0.581194 + 0.813765i \(0.697414\pi\)
\(108\) −18149.9 + 37688.8i −0.0144080 + 0.0299186i
\(109\) −352147. 441578.i −0.271922 0.340980i 0.627055 0.778975i \(-0.284260\pi\)
−0.898977 + 0.437995i \(0.855689\pi\)
\(110\) −75086.4 + 94155.4i −0.0564135 + 0.0707403i
\(111\) −560193. 269775.i −0.409608 0.197257i
\(112\) 2.45187e6 559624.i 1.74520 0.398330i
\(113\) −2.52952e6 + 577346.i −1.75308 + 0.400129i −0.973956 0.226738i \(-0.927194\pi\)
−0.779126 + 0.626867i \(0.784337\pi\)
\(114\) −15934.8 12707.6i −0.0107556 0.00857727i
\(115\) 428133. + 889027.i 0.281504 + 0.584550i
\(116\) 100907. + 23031.4i 0.0646469 + 0.0147552i
\(117\) 1.43305e6 690121.i 0.894754 0.430891i
\(118\) −2.40232e6 + 1.91579e6i −1.46213 + 1.16601i
\(119\) 2.57750e6 588297.i 1.52953 0.349105i
\(120\) 142318. 113495.i 0.0823598 0.0656797i
\(121\) 376218. 1.64832e6i 0.212365 0.930432i
\(122\) −451789. −0.248803
\(123\) 797448.i 0.428536i
\(124\) 12697.5 55631.3i 0.00665967 0.0291779i
\(125\) −1.14794e6 915452.i −0.587745 0.468711i
\(126\) 2.91697e6 + 1.40474e6i 1.45821 + 0.702237i
\(127\) 3.35137e6 1.61393e6i 1.63610 0.787906i 0.636238 0.771493i \(-0.280490\pi\)
0.999865 0.0164131i \(-0.00522468\pi\)
\(128\) 2.27740e6i 1.08595i
\(129\) −243320. 516437.i −0.113347 0.240574i
\(130\) 994396. 0.452616
\(131\) −625955. 1.29981e6i −0.278439 0.578184i 0.714110 0.700033i \(-0.246832\pi\)
−0.992549 + 0.121850i \(0.961117\pi\)
\(132\) −3669.48 + 7619.76i −0.00159545 + 0.00331299i
\(133\) −124123. + 155645.i −0.0527591 + 0.0661578i
\(134\) −2.93180e6 669165.i −1.21848 0.278111i
\(135\) 518130. 0.210590
\(136\) 2.25638e6i 0.897008i
\(137\) −722150. 164826.i −0.280844 0.0641009i 0.0797785 0.996813i \(-0.474579\pi\)
−0.360623 + 0.932712i \(0.617436\pi\)
\(138\) 710747. + 891249.i 0.270444 + 0.339127i
\(139\) 754618. + 3.30620e6i 0.280985 + 1.23108i 0.896533 + 0.442976i \(0.146077\pi\)
−0.615548 + 0.788099i \(0.711065\pi\)
\(140\) 76714.6 + 96197.1i 0.0279572 + 0.0350573i
\(141\) 342348. + 710893.i 0.122127 + 0.253598i
\(142\) 97130.3 425556.i 0.0339226 0.148625i
\(143\) 601507. 289670.i 0.205699 0.0990595i
\(144\) −1.83479e6 + 2.30075e6i −0.614467 + 0.770518i
\(145\) −285271. 1.24985e6i −0.0935735 0.409972i
\(146\) 107431. + 470688.i 0.0345201 + 0.151243i
\(147\) −677714. + 1.40729e6i −0.213351 + 0.443028i
\(148\) 280434. + 223639.i 0.0865060 + 0.0689862i
\(149\) 556385. 443702.i 0.168196 0.134132i −0.535774 0.844361i \(-0.679980\pi\)
0.703971 + 0.710229i \(0.251409\pi\)
\(150\) −693842. 334136.i −0.205583 0.0990034i
\(151\) 1.54172e6 3.20141e6i 0.447790 0.929846i −0.547851 0.836576i \(-0.684554\pi\)
0.995641 0.0932700i \(-0.0297320\pi\)
\(152\) −105935. 132838.i −0.0301654 0.0378262i
\(153\) −1.92880e6 + 2.41863e6i −0.538533 + 0.675299i
\(154\) 1.22437e6 + 589623.i 0.335235 + 0.161440i
\(155\) −689059. + 157273.i −0.185038 + 0.0422338i
\(156\) 68081.9 15539.2i 0.0179332 0.00409314i
\(157\) 2.16811e6 + 1.72901e6i 0.560250 + 0.446785i 0.862221 0.506533i \(-0.169073\pi\)
−0.301970 + 0.953317i \(0.597644\pi\)
\(158\) −1.58644e6 3.29428e6i −0.402210 0.835198i
\(159\) 528689. + 120670.i 0.131525 + 0.0300197i
\(160\) −195771. + 94278.4i −0.0477957 + 0.0230172i
\(161\) 8.70537e6 6.94230e6i 2.08598 1.66351i
\(162\) −3.39092e6 + 773954.i −0.797576 + 0.182041i
\(163\) −10003.0 + 7977.13i −0.00230976 + 0.00184197i −0.624644 0.780910i \(-0.714756\pi\)
0.622334 + 0.782752i \(0.286184\pi\)
\(164\) 102368. 448503.i 0.0232077 0.101680i
\(165\) 104754. 0.0233194
\(166\) 1.67749e6i 0.366720i
\(167\) 304309. 1.33326e6i 0.0653379 0.286264i −0.931695 0.363242i \(-0.881670\pi\)
0.997033 + 0.0769777i \(0.0245270\pi\)
\(168\) −1.60593e6 1.28069e6i −0.338688 0.270095i
\(169\) −617895. 297563.i −0.128013 0.0616479i
\(170\) −1.74251e6 + 839147.i −0.354673 + 0.170801i
\(171\) 232945.i 0.0465871i
\(172\) 70554.0 + 321691.i 0.0138655 + 0.0632198i
\(173\) −5.33809e6 −1.03097 −0.515487 0.856897i \(-0.672389\pi\)
−0.515487 + 0.856897i \(0.672389\pi\)
\(174\) −642599. 1.33437e6i −0.121981 0.253296i
\(175\) −3.26372e6 + 6.77718e6i −0.608973 + 1.26455i
\(176\) −770132. + 965715.i −0.141263 + 0.177138i
\(177\) 2.60572e6 + 594738.i 0.469902 + 0.107252i
\(178\) −4.64940e6 −0.824398
\(179\) 2.03960e6i 0.355620i −0.984065 0.177810i \(-0.943099\pi\)
0.984065 0.177810i \(-0.0569012\pi\)
\(180\) −140363. 32036.9i −0.0240677 0.00549330i
\(181\) −1.07031e6 1.34213e6i −0.180499 0.226339i 0.683348 0.730093i \(-0.260523\pi\)
−0.863847 + 0.503754i \(0.831952\pi\)
\(182\) −2.49689e6 1.09396e7i −0.414176 1.81463i
\(183\) 245020. + 307245.i 0.0399805 + 0.0501340i
\(184\) 4.12321e6 + 8.56192e6i 0.661883 + 1.37442i
\(185\) 988612. 4.33139e6i 0.156139 0.684089i
\(186\) −735655. + 354273.i −0.114324 + 0.0550553i
\(187\) −809590. + 1.01519e6i −0.123806 + 0.155247i
\(188\) −101287. 443769.i −0.0152434 0.0667857i
\(189\) −1.30101e6 5.70008e6i −0.192705 0.844297i
\(190\) 63188.1 131211.i 0.00921243 0.0191298i
\(191\) −2.85051e6 2.27321e6i −0.409093 0.326241i 0.397227 0.917720i \(-0.369973\pi\)
−0.806320 + 0.591479i \(0.798544\pi\)
\(192\) 1.36445e6 1.08811e6i 0.192776 0.153734i
\(193\) 2.90303e6 + 1.39803e6i 0.403813 + 0.194466i 0.624755 0.780821i \(-0.285199\pi\)
−0.220942 + 0.975287i \(0.570913\pi\)
\(194\) −3.10306e6 + 6.44357e6i −0.424996 + 0.882514i
\(195\) −539294. 676253.i −0.0727313 0.0912022i
\(196\) 561814. 704493.i 0.0746147 0.0935639i
\(197\) −1.34191e6 646231.i −0.175520 0.0845258i 0.344061 0.938947i \(-0.388197\pi\)
−0.519580 + 0.854422i \(0.673912\pi\)
\(198\) −1.55026e6 + 353837.i −0.199714 + 0.0455835i
\(199\) 122987. 28071.1i 0.0156063 0.00356205i −0.214711 0.976678i \(-0.568881\pi\)
0.230317 + 0.973116i \(0.426024\pi\)
\(200\) −5.01926e6 4.00272e6i −0.627407 0.500340i
\(201\) 1.13494e6 + 2.35672e6i 0.139760 + 0.290215i
\(202\) 1.06057e7 + 2.42068e6i 1.28672 + 0.293686i
\(203\) −1.30336e7 + 6.27666e6i −1.55803 + 0.750309i
\(204\) −106188. + 84682.5i −0.0125080 + 0.00997478i
\(205\) −5.55524e6 + 1.26795e6i −0.644824 + 0.147177i
\(206\) −5.22918e6 + 4.17014e6i −0.598181 + 0.477033i
\(207\) −2.89919e6 + 1.27022e7i −0.326863 + 1.43208i
\(208\) 1.01991e7 1.13337
\(209\) 97776.2i 0.0107101i
\(210\) 391776. 1.71648e6i 0.0423038 0.185345i
\(211\) 1.07975e7 + 8.61068e6i 1.14941 + 0.916622i 0.997422 0.0717611i \(-0.0228619\pi\)
0.151985 + 0.988383i \(0.451433\pi\)
\(212\) −281856. 135735.i −0.0295815 0.0142457i
\(213\) −342082. + 164738.i −0.0353990 + 0.0170473i
\(214\) 3.44956e6i 0.351984i
\(215\) 3.21076e6 2.51617e6i 0.323067 0.253177i
\(216\) 4.98994e6 0.495147
\(217\) 3.46040e6 + 7.18560e6i 0.338647 + 0.703208i
\(218\) 2.02291e6 4.20061e6i 0.195257 0.405456i
\(219\) 261834. 328330.i 0.0249284 0.0312592i
\(220\) −58915.8 13447.1i −0.00553304 0.00126288i
\(221\) 1.07217e7 0.993314
\(222\) 5.13258e6i 0.469112i
\(223\) 739310. + 168743.i 0.0666672 + 0.0152163i 0.255724 0.966750i \(-0.417686\pi\)
−0.189057 + 0.981966i \(0.560543\pi\)
\(224\) 1.52875e6 + 1.91700e6i 0.136017 + 0.170560i
\(225\) −1.95858e6 8.58109e6i −0.171947 0.753347i
\(226\) −1.33537e7 1.67450e7i −1.15685 1.45064i
\(227\) 6.79547e6 + 1.41109e7i 0.580954 + 1.20636i 0.959743 + 0.280880i \(0.0906264\pi\)
−0.378789 + 0.925483i \(0.623659\pi\)
\(228\) 2275.79 9970.89i 0.000192012 0.000841258i
\(229\) 1.76310e7 8.49063e6i 1.46815 0.707023i 0.482510 0.875891i \(-0.339725\pi\)
0.985639 + 0.168867i \(0.0540110\pi\)
\(230\) −5.07859e6 + 6.36834e6i −0.417407 + 0.523411i
\(231\) −263032. 1.15242e6i −0.0213389 0.0934920i
\(232\) −2.74735e6 1.20369e7i −0.220014 0.963942i
\(233\) 7.81027e6 1.62182e7i 0.617445 1.28214i −0.324345 0.945939i \(-0.605144\pi\)
0.941791 0.336200i \(-0.109142\pi\)
\(234\) 1.02653e7 + 8.18633e6i 0.801171 + 0.638913i
\(235\) −4.40793e6 + 3.51521e6i −0.339650 + 0.270862i
\(236\) −1.38917e6 668988.i −0.105686 0.0508959i
\(237\) −1.37994e6 + 2.86548e6i −0.103661 + 0.215255i
\(238\) 1.36070e7 + 1.70627e7i 1.00933 + 1.26566i
\(239\) 4.08976e6 5.12840e6i 0.299574 0.375654i −0.609147 0.793057i \(-0.708488\pi\)
0.908722 + 0.417403i \(0.137060\pi\)
\(240\) 1.44182e6 + 694344.i 0.104298 + 0.0502274i
\(241\) −8.82371e6 + 2.01395e6i −0.630377 + 0.143879i −0.525760 0.850633i \(-0.676219\pi\)
−0.104617 + 0.994513i \(0.533362\pi\)
\(242\) 1.36066e7 3.10561e6i 0.960070 0.219130i
\(243\) 8.12117e6 + 6.47642e6i 0.565978 + 0.451352i
\(244\) −98364.0 204255.i −0.00677121 0.0140606i
\(245\) −1.08811e7 2.48354e6i −0.739903 0.168878i
\(246\) −5.93090e6 + 2.85617e6i −0.398396 + 0.191858i
\(247\) −631210. + 503373.i −0.0418873 + 0.0334040i
\(248\) −6.63610e6 + 1.51465e6i −0.435069 + 0.0993016i
\(249\) −1.14080e6 + 909757.i −0.0738943 + 0.0589287i
\(250\) 2.69703e6 1.18164e7i 0.172610 0.756252i
\(251\) 3.13063e6 0.197975 0.0989874 0.995089i \(-0.468440\pi\)
0.0989874 + 0.995089i \(0.468440\pi\)
\(252\) 1.62461e6i 0.101519i
\(253\) −1.21690e6 + 5.33159e6i −0.0751439 + 0.329227i
\(254\) 2.40068e7 + 1.91447e7i 1.46498 + 1.16828i
\(255\) 1.51569e6 + 729919.i 0.0914093 + 0.0440204i
\(256\) −2.92296e6 + 1.40762e6i −0.174222 + 0.0839008i
\(257\) 1.27984e7i 0.753976i −0.926218 0.376988i \(-0.876960\pi\)
0.926218 0.376988i \(-0.123040\pi\)
\(258\) 2.96944e6 3.65935e6i 0.172908 0.213081i
\(259\) −5.01331e7 −2.88553
\(260\) 216501. + 449569.i 0.0123180 + 0.0255786i
\(261\) 7.34446e6 1.52509e7i 0.413084 0.857778i
\(262\) 7.42519e6 9.31089e6i 0.412861 0.517711i
\(263\) −2.39205e7 5.45970e6i −1.31493 0.300125i −0.493159 0.869939i \(-0.664158\pi\)
−0.821773 + 0.569815i \(0.807015\pi\)
\(264\) 1.00885e6 0.0548294
\(265\) 3.87485e6i 0.208218i
\(266\) −1.60215e6 365680.i −0.0851253 0.0194293i
\(267\) 2.52152e6 + 3.16189e6i 0.132473 + 0.166116i
\(268\) −335784. 1.47117e6i −0.0174444 0.0764288i
\(269\) −1.84502e6 2.31359e6i −0.0947862 0.118858i 0.732176 0.681115i \(-0.238505\pi\)
−0.826963 + 0.562257i \(0.809933\pi\)
\(270\) 1.85576e6 + 3.85352e6i 0.0942821 + 0.195779i
\(271\) −5.13785e6 + 2.25104e7i −0.258151 + 1.13103i 0.665075 + 0.746776i \(0.268399\pi\)
−0.923226 + 0.384257i \(0.874458\pi\)
\(272\) −1.78722e7 + 8.60681e6i −0.888120 + 0.427696i
\(273\) −6.08548e6 + 7.63095e6i −0.299093 + 0.375051i
\(274\) −1.36061e6 5.96123e6i −0.0661427 0.289790i
\(275\) −822091. 3.60182e6i −0.0395296 0.173190i
\(276\) −248191. + 515374.i −0.0118048 + 0.0245129i
\(277\) −2.22074e7 1.77098e7i −1.04486 0.833250i −0.0585741 0.998283i \(-0.518655\pi\)
−0.986288 + 0.165033i \(0.947227\pi\)
\(278\) −2.18866e7 + 1.74540e7i −1.01869 + 0.812381i
\(279\) −8.40803e6 4.04909e6i −0.387152 0.186443i
\(280\) 6.36818e6 1.32237e7i 0.290096 0.602390i
\(281\) −3.95318e6 4.95713e6i −0.178167 0.223414i 0.684727 0.728800i \(-0.259922\pi\)
−0.862894 + 0.505386i \(0.831350\pi\)
\(282\) −4.06099e6 + 5.09232e6i −0.181086 + 0.227074i
\(283\) −2.47287e7 1.19087e7i −1.09104 0.525418i −0.200211 0.979753i \(-0.564163\pi\)
−0.890831 + 0.454334i \(0.849877\pi\)
\(284\) 213542. 48739.6i 0.00932241 0.00212778i
\(285\) −123501. + 28188.3i −0.00533502 + 0.00121768i
\(286\) 4.30876e6 + 3.43612e6i 0.184185 + 0.146883i
\(287\) 2.78980e7 + 5.79307e7i 1.18012 + 2.45055i
\(288\) −2.79712e6 638425.i −0.117094 0.0267259i
\(289\) 2.95929e6 1.42512e6i 0.122601 0.0590415i
\(290\) 8.27385e6 6.59817e6i 0.339245 0.270539i
\(291\) 6.06493e6 1.38428e6i 0.246120 0.0561753i
\(292\) −189409. + 151049.i −0.00760767 + 0.00606692i
\(293\) −679058. + 2.97515e6i −0.0269963 + 0.118278i −0.986631 0.162972i \(-0.947892\pi\)
0.959634 + 0.281250i \(0.0907491\pi\)
\(294\) −1.28938e7 −0.507387
\(295\) 1.90977e7i 0.743903i
\(296\) 9.52100e6 4.17142e7i 0.367119 1.60845i
\(297\) 2.24508e6 + 1.79039e6i 0.0856963 + 0.0683406i
\(298\) 5.29274e6 + 2.54885e6i 0.200001 + 0.0963153i
\(299\) 4.06838e7 1.95923e7i 1.52198 0.732946i
\(300\) 386436.i 0.0143124i
\(301\) −3.57431e7 2.90043e7i −1.31067 1.06356i
\(302\) 2.93319e7 1.06493
\(303\) −4.10559e6 8.52535e6i −0.147587 0.306467i
\(304\) 648096. 1.34578e6i 0.0230684 0.0479021i
\(305\) −1.75077e6 + 2.19540e6i −0.0617063 + 0.0773773i
\(306\) −2.48965e7 5.68246e6i −0.868907 0.198322i
\(307\) 1.07951e7 0.373087 0.186544 0.982447i \(-0.440271\pi\)
0.186544 + 0.982447i \(0.440271\pi\)
\(308\) 681912.i 0.0233387i
\(309\) 5.67192e6 + 1.29458e6i 0.192245 + 0.0438786i
\(310\) −3.63766e6 4.56148e6i −0.122106 0.153116i
\(311\) −6.37397e6 2.79262e7i −0.211899 0.928389i −0.963275 0.268516i \(-0.913467\pi\)
0.751377 0.659874i \(-0.229390\pi\)
\(312\) −5.19376e6 6.51277e6i −0.171009 0.214438i
\(313\) −2.15879e7 4.48278e7i −0.704009 1.46189i −0.878753 0.477276i \(-0.841624\pi\)
0.174744 0.984614i \(-0.444090\pi\)
\(314\) −5.09386e6 + 2.23177e7i −0.164535 + 0.720875i
\(315\) 1.81299e7 8.73091e6i 0.580049 0.279337i
\(316\) 1.14395e6 1.43447e6i 0.0362532 0.0454601i
\(317\) 6.16553e6 + 2.70129e7i 0.193550 + 0.847997i 0.974676 + 0.223623i \(0.0717885\pi\)
−0.781126 + 0.624373i \(0.785354\pi\)
\(318\) 996108. + 4.36423e6i 0.0309760 + 0.135715i
\(319\) 3.08275e6 6.40140e6i 0.0949657 0.197198i
\(320\) 9.74956e6 + 7.77501e6i 0.297533 + 0.237275i
\(321\) −2.34592e6 + 1.87081e6i −0.0709249 + 0.0565607i
\(322\) 8.28118e7 + 3.98801e7i 2.48042 + 1.19451i
\(323\) 681301. 1.41474e6i 0.0202177 0.0419825i
\(324\) −1.08818e6 1.36453e6i −0.0319938 0.0401190i
\(325\) −1.90198e7 + 2.38501e7i −0.554059 + 0.694768i
\(326\) −95155.8 45824.6i −0.00274652 0.00132265i
\(327\) −3.95378e6 + 902423.i −0.113076 + 0.0258088i
\(328\) −5.35006e7 + 1.22112e7i −1.51613 + 0.346048i
\(329\) 4.97398e7 + 3.96662e7i 1.39674 + 1.11386i
\(330\) 375189. + 779088.i 0.0104402 + 0.0216793i
\(331\) 4.20241e7 + 9.59173e6i 1.15882 + 0.264492i 0.758368 0.651827i \(-0.225997\pi\)
0.400448 + 0.916319i \(0.368854\pi\)
\(332\) 758396. 365224.i 0.0207244 0.00998034i
\(333\) 4.58637e7 3.65750e7i 1.24204 0.990495i
\(334\) 1.10059e7 2.51202e6i 0.295383 0.0674192i
\(335\) −1.46130e7 + 1.16535e7i −0.388691 + 0.309971i
\(336\) 4.01829e6 1.76053e7i 0.105931 0.464114i
\(337\) 1.63945e7 0.428360 0.214180 0.976794i \(-0.431292\pi\)
0.214180 + 0.976794i \(0.431292\pi\)
\(338\) 5.66126e6i 0.146610i
\(339\) −4.14554e6 + 1.81628e7i −0.106410 + 0.466212i
\(340\) −758761. 605092.i −0.0193049 0.0153952i
\(341\) −3.52917e6 1.69956e6i −0.0890041 0.0428621i
\(342\) 1.73249e6 834325.i 0.0433105 0.0208573i
\(343\) 5.78288e7i 1.43305i
\(344\) 3.09217e7 2.42324e7i 0.759606 0.595279i
\(345\) 7.08517e6 0.172541
\(346\) −1.91191e7 3.97013e7i −0.461572 0.958464i
\(347\) −1.85327e7 + 3.84835e7i −0.443557 + 0.921056i 0.552598 + 0.833448i \(0.313636\pi\)
−0.996155 + 0.0876077i \(0.972078\pi\)
\(348\) 463365. 581041.i 0.0109948 0.0137870i
\(349\) −4.24599e7 9.69120e6i −0.998856 0.227982i −0.308322 0.951282i \(-0.599767\pi\)
−0.690534 + 0.723300i \(0.742624\pi\)
\(350\) −6.20936e7 −1.44825
\(351\) 2.37108e7i 0.548308i
\(352\) −1.17406e6 267972.i −0.0269192 0.00614414i
\(353\) 4.89607e7 + 6.13947e7i 1.11307 + 1.39575i 0.909002 + 0.416792i \(0.136845\pi\)
0.204070 + 0.978956i \(0.434583\pi\)
\(354\) 4.90946e6 + 2.15097e7i 0.110668 + 0.484870i
\(355\) −1.69152e6 2.12110e6i −0.0378087 0.0474107i
\(356\) −1.01227e6 2.10200e6i −0.0224361 0.0465890i
\(357\) 4.22417e6 1.85073e7i 0.0928403 0.406760i
\(358\) 1.51692e7 7.30511e6i 0.330609 0.159213i
\(359\) −1.24096e7 + 1.55612e7i −0.268211 + 0.336325i −0.897638 0.440734i \(-0.854718\pi\)
0.629427 + 0.777060i \(0.283290\pi\)
\(360\) 3.82159e6 + 1.67435e7i 0.0819100 + 0.358871i
\(361\) −1.04424e7 4.57511e7i −0.221962 0.972478i
\(362\) 6.14842e6 1.27673e7i 0.129610 0.269137i
\(363\) −9.49131e6 7.56907e6i −0.198430 0.158242i
\(364\) 4.40219e6 3.51063e6i 0.0912777 0.0727915i
\(365\) 2.70355e6 + 1.30196e6i 0.0555975 + 0.0267744i
\(366\) −1.40752e6 + 2.92274e6i −0.0287085 + 0.0596138i
\(367\) 3.33087e7 + 4.17678e7i 0.673844 + 0.844974i 0.994771 0.102130i \(-0.0325659\pi\)
−0.320927 + 0.947104i \(0.603994\pi\)
\(368\) −5.20891e7 + 6.53176e7i −1.04521 + 1.31065i
\(369\) −6.77860e7 3.26440e7i −1.34915 0.649718i
\(370\) 3.57549e7 8.16083e6i 0.705880 0.161112i
\(371\) 4.26281e7 9.72960e6i 0.834785 0.190534i
\(372\) −320335. 255459.i −0.00622266 0.00496241i
\(373\) 2.92670e6 + 6.07736e6i 0.0563965 + 0.117109i 0.927262 0.374412i \(-0.122155\pi\)
−0.870866 + 0.491521i \(0.836441\pi\)
\(374\) −1.04500e7 2.38515e6i −0.199757 0.0455932i
\(375\) −9.49862e6 + 4.57430e6i −0.180122 + 0.0867422i
\(376\) −4.24513e7 + 3.38538e7i −0.798597 + 0.636860i
\(377\) −5.71960e7 + 1.30546e7i −1.06743 + 0.243635i
\(378\) 3.77337e7 3.00916e7i 0.698641 0.557148i
\(379\) 2.12327e7 9.30263e7i 0.390020 1.70879i −0.274559 0.961570i \(-0.588532\pi\)
0.664579 0.747218i \(-0.268611\pi\)
\(380\) 73078.4 0.00133180
\(381\) 2.67090e7i 0.482928i
\(382\) 6.69713e6 2.93420e7i 0.120143 0.526381i
\(383\) −2.57976e7 2.05729e7i −0.459179 0.366183i 0.366411 0.930453i \(-0.380586\pi\)
−0.825590 + 0.564270i \(0.809158\pi\)
\(384\) 1.47331e7 + 7.09509e6i 0.260196 + 0.125304i
\(385\) 7.60983e6 3.66470e6i 0.133350 0.0642179i
\(386\) 2.65981e7i 0.462475i
\(387\) 5.38595e7 + 457575.i 0.929243 + 0.00789459i
\(388\) −3.58876e6 −0.0614397
\(389\) 4.55319e7 + 9.45480e7i 0.773512 + 1.60621i 0.795123 + 0.606448i \(0.207406\pi\)
−0.0216113 + 0.999766i \(0.506880\pi\)
\(390\) 3.09797e6 6.43301e6i 0.0522256 0.108448i
\(391\) −5.47579e7 + 6.86642e7i −0.916044 + 1.14868i
\(392\) −1.04792e8 2.39182e7i −1.73969 0.397072i
\(393\) −1.03589e7 −0.170662
\(394\) 1.22948e7i 0.201018i
\(395\) −2.21558e7 5.05692e6i −0.359498 0.0820531i
\(396\) −497495. 623839.i −0.00801131 0.0100459i
\(397\) −2.09413e7 9.17500e7i −0.334683 1.46634i −0.809950 0.586499i \(-0.800506\pi\)
0.475268 0.879841i \(-0.342351\pi\)
\(398\) 649270. + 814159.i 0.0102986 + 0.0129140i
\(399\) 620213. + 1.28789e6i 0.00976387 + 0.0202749i
\(400\) 1.25589e7 5.50243e7i 0.196233 0.859754i
\(401\) 5.89525e7 2.83900e7i 0.914259 0.440284i 0.0832410 0.996529i \(-0.473473\pi\)
0.831018 + 0.556246i \(0.187759\pi\)
\(402\) −1.34628e7 + 1.68818e7i −0.207233 + 0.259861i
\(403\) 7.19717e6 + 3.15329e7i 0.109963 + 0.481779i
\(404\) 1.21469e6 + 5.32188e6i 0.0184213 + 0.0807089i
\(405\) −9.37955e6 + 1.94768e7i −0.141194 + 0.293193i
\(406\) −9.33634e7 7.44548e7i −1.39508 1.11254i
\(407\) 1.92507e7 1.53520e7i 0.285538 0.227709i
\(408\) 1.45971e7 + 7.02961e6i 0.214925 + 0.103502i
\(409\) 4.93935e7 1.02567e8i 0.721937 1.49912i −0.138937 0.990301i \(-0.544369\pi\)
0.860875 0.508817i \(-0.169917\pi\)
\(410\) −2.93270e7 3.67749e7i −0.425516 0.533580i
\(411\) −3.31611e6 + 4.15827e6i −0.0477643 + 0.0598945i
\(412\) −3.02383e6 1.45620e6i −0.0432380 0.0208223i
\(413\) 2.10099e8 4.79537e7i 2.98245 0.680725i
\(414\) −1.04854e8 + 2.39323e7i −1.47770 + 0.337275i
\(415\) −8.15148e6 6.50059e6i −0.114049 0.0909512i
\(416\) 4.31439e6 + 8.95892e6i 0.0599293 + 0.124444i
\(417\) 2.37396e7 + 5.41841e6i 0.327390 + 0.0747247i
\(418\) 727195. 350199.i 0.00995685 0.00479497i
\(419\) −2.25149e7 + 1.79551e7i −0.306076 + 0.244087i −0.764466 0.644664i \(-0.776997\pi\)
0.458391 + 0.888751i \(0.348426\pi\)
\(420\) 861323. 196591.i 0.0116257 0.00265348i
\(421\) −2.41749e7 + 1.92789e7i −0.323980 + 0.258366i −0.771950 0.635683i \(-0.780719\pi\)
0.447970 + 0.894049i \(0.352147\pi\)
\(422\) −2.53681e7 + 1.11145e8i −0.337559 + 1.47894i
\(423\) −7.44427e7 −0.983560
\(424\) 3.73174e7i 0.489569i
\(425\) 1.32024e7 5.78435e7i 0.171983 0.753508i
\(426\) −2.45043e6 1.95415e6i −0.0316966 0.0252772i
\(427\) 2.85482e7 + 1.37481e7i 0.366687 + 0.176587i
\(428\) 1.55955e6 751042.i 0.0198916 0.00957928i
\(429\) 4.79375e6i 0.0607161i
\(430\) 3.02134e7 + 1.48675e7i 0.380009 + 0.186996i
\(431\) −9.34751e7 −1.16752 −0.583760 0.811926i \(-0.698419\pi\)
−0.583760 + 0.811926i \(0.698419\pi\)
\(432\) 1.90338e7 + 3.95240e7i 0.236088 + 0.490241i
\(433\) −5.61461e7 + 1.16589e8i −0.691602 + 1.43613i 0.198378 + 0.980126i \(0.436433\pi\)
−0.889979 + 0.456001i \(0.849281\pi\)
\(434\) −4.10479e7 + 5.14724e7i −0.502136 + 0.629659i
\(435\) −8.97436e6 2.04834e6i −0.109027 0.0248848i
\(436\) 2.33954e6 0.0282274
\(437\) 6.61324e6i 0.0792447i
\(438\) 3.37969e6 + 771393.i 0.0402212 + 0.00918023i
\(439\) 4.95506e7 + 6.21345e7i 0.585673 + 0.734411i 0.983069 0.183236i \(-0.0586573\pi\)
−0.397396 + 0.917647i \(0.630086\pi\)
\(440\) 1.60407e6 + 7.02789e6i 0.0188307 + 0.0825025i
\(441\) −9.18820e7 1.15216e8i −1.07131 1.34338i
\(442\) 3.84012e7 + 7.97409e7i 0.444711 + 0.923452i
\(443\) 2.73048e7 1.19630e8i 0.314071 1.37604i −0.533700 0.845674i \(-0.679199\pi\)
0.847771 0.530362i \(-0.177944\pi\)
\(444\) 2.32045e6 1.11747e6i 0.0265109 0.0127670i
\(445\) −1.80173e7 + 2.25930e7i −0.204461 + 0.256386i
\(446\) 1.39294e6 + 6.10288e6i 0.0157010 + 0.0687908i
\(447\) −1.13705e6 4.98172e6i −0.0127308 0.0557773i
\(448\) 6.10540e7 1.26780e8i 0.679016 1.40999i
\(449\) −1.13858e7 9.07986e6i −0.125784 0.100309i 0.558578 0.829452i \(-0.311347\pi\)
−0.684361 + 0.729143i \(0.739919\pi\)
\(450\) 5.68057e7 4.53010e7i 0.623382 0.497130i
\(451\) −2.84524e7 1.37020e7i −0.310163 0.149367i
\(452\) 4.66309e6 9.68300e6i 0.0504962 0.104856i
\(453\) −1.59077e7 1.99476e7i −0.171124 0.214583i
\(454\) −8.06090e7 + 1.01080e8i −0.861422 + 1.08019i
\(455\) −6.28351e7 3.02598e7i −0.667065 0.321242i
\(456\) −1.18940e6 + 271472.i −0.0125439 + 0.00286306i
\(457\) 5.75871e7 1.31439e7i 0.603360 0.137713i 0.0900803 0.995935i \(-0.471288\pi\)
0.513279 + 0.858222i \(0.328430\pi\)
\(458\) 1.26296e8 + 1.00717e8i 1.31459 + 1.04835i
\(459\) 2.00090e7 + 4.15490e7i 0.206912 + 0.429658i
\(460\) −3.98486e6 909518.i −0.0409392 0.00934411i
\(461\) −1.15388e8 + 5.55678e7i −1.17776 + 0.567180i −0.917258 0.398293i \(-0.869603\pi\)
−0.260503 + 0.965473i \(0.583888\pi\)
\(462\) 7.62885e6 6.08381e6i 0.0773630 0.0616949i
\(463\) 9.60847e7 2.19307e7i 0.968080 0.220958i 0.290882 0.956759i \(-0.406051\pi\)
0.677198 + 0.735801i \(0.263194\pi\)
\(464\) 8.48616e7 6.76749e7i 0.849488 0.677444i
\(465\) −1.12927e6 + 4.94768e6i −0.0112316 + 0.0492088i
\(466\) 1.48594e8 1.46840
\(467\) 3.49532e6i 0.0343191i 0.999853 + 0.0171596i \(0.00546232\pi\)
−0.999853 + 0.0171596i \(0.994538\pi\)
\(468\) −1.46608e6 + 6.42332e6i −0.0143028 + 0.0626645i
\(469\) 1.64895e8 + 1.31500e8i 1.59842 + 1.27469i
\(470\) −4.19314e7 2.01931e7i −0.403874 0.194496i
\(471\) 1.79400e7 8.63945e6i 0.171696 0.0826844i
\(472\) 1.83924e8i 1.74909i
\(473\) 2.26069e7 + 192062.i 0.213628 + 0.00181492i
\(474\) −2.62540e7 −0.246525
\(475\) 1.93844e6 + 4.02521e6i 0.0180872 + 0.0375585i
\(476\) −4.75154e6 + 9.86667e6i −0.0440568 + 0.0914850i
\(477\) −3.18996e7 + 4.00008e7i −0.293920 + 0.368564i
\(478\) 5.27898e7 + 1.20489e7i 0.483355 + 0.110323i
\(479\) 6.73725e7 0.613022 0.306511 0.951867i \(-0.400838\pi\)
0.306511 + 0.951867i \(0.400838\pi\)
\(480\) 1.56021e6i 0.0141078i
\(481\) −1.98214e8 4.52411e7i −1.78114 0.406535i
\(482\) −4.65818e7 5.84117e7i −0.415983 0.521626i
\(483\) −1.77906e7 7.79456e7i −0.157888 0.691752i
\(484\) 4.36649e6 + 5.47541e6i 0.0385121 + 0.0482926i
\(485\) 1.92865e7 + 4.00489e7i 0.169055 + 0.351047i
\(486\) −1.90803e7 + 8.35961e7i −0.166217 + 0.728245i
\(487\) 7.59609e7 3.65809e7i 0.657663 0.316714i −0.0751218 0.997174i \(-0.523935\pi\)
0.732785 + 0.680461i \(0.238220\pi\)
\(488\) −1.68611e7 + 2.11431e7i −0.145086 + 0.181932i
\(489\) 20442.4 + 89564.2i 0.000174826 + 0.000765963i
\(490\) −2.05012e7 8.98217e7i −0.174257 0.763472i
\(491\) 8.79323e6 1.82593e7i 0.0742855 0.154255i −0.860519 0.509419i \(-0.829860\pi\)
0.934804 + 0.355163i \(0.115575\pi\)
\(492\) −2.58256e6 2.05953e6i −0.0216848 0.0172931i
\(493\) 8.92095e7 7.11422e7i 0.744510 0.593727i
\(494\) −6.00452e6 2.89162e6i −0.0498078 0.0239862i
\(495\) −4.28815e6 + 8.90443e6i −0.0353553 + 0.0734160i
\(496\) −3.73100e7 4.67853e7i −0.305760 0.383411i
\(497\) −1.90874e7 + 2.39348e7i −0.155481 + 0.194967i
\(498\) −1.08521e7 5.22610e6i −0.0878670 0.0423145i
\(499\) −2.46911e7 + 5.63557e6i −0.198718 + 0.0453562i −0.320721 0.947174i \(-0.603925\pi\)
0.122003 + 0.992530i \(0.461068\pi\)
\(500\) 5.92944e6 1.35336e6i 0.0474355 0.0108269i
\(501\) −7.67718e6 6.12235e6i −0.0610504 0.0486861i
\(502\) 1.12128e7 + 2.32835e7i 0.0886342 + 0.184051i
\(503\) 1.37058e8 + 3.12826e7i 1.07696 + 0.245810i 0.723980 0.689821i \(-0.242311\pi\)
0.352982 + 0.935630i \(0.385168\pi\)
\(504\) 1.74603e8 8.40845e7i 1.36383 0.656787i
\(505\) 5.28619e7 4.21560e7i 0.410458 0.327329i
\(506\) −4.40114e7 + 1.00453e7i −0.339714 + 0.0775376i
\(507\) −3.85002e6 + 3.07029e6i −0.0295419 + 0.0235589i
\(508\) −3.42861e6 + 1.50217e7i −0.0261533 + 0.114585i
\(509\) 3.93027e7 0.298036 0.149018 0.988834i \(-0.452389\pi\)
0.149018 + 0.988834i \(0.452389\pi\)
\(510\) 1.38870e7i 0.104689i
\(511\) 7.53467e6 3.30115e7i 0.0564679 0.247402i
\(512\) 9.30170e7 + 7.41786e7i 0.693030 + 0.552673i
\(513\) −3.12866e6 1.50668e6i −0.0231743 0.0111601i
\(514\) 9.51864e7 4.58394e7i 0.700948 0.337559i
\(515\) 4.15705e7i 0.304343i
\(516\) 2.30091e6 + 545773.i 0.0167475 + 0.00397249i
\(517\) −3.12465e7 −0.226115
\(518\) −1.79558e8 3.72857e8i −1.29186 2.68258i
\(519\) −1.66305e7 + 3.45335e7i −0.118960 + 0.247024i
\(520\) 3.71116e7 4.65364e7i 0.263936 0.330966i
\(521\) −2.71403e8 6.19460e7i −1.91912 0.438026i −0.998914 0.0465886i \(-0.985165\pi\)
−0.920205 0.391438i \(-0.871978\pi\)
\(522\) 1.39732e8 0.982388
\(523\) 8.02910e7i 0.561257i −0.959817 0.280628i \(-0.909457\pi\)
0.959817 0.280628i \(-0.0905428\pi\)
\(524\) 5.82609e6 + 1.32977e6i 0.0404933 + 0.00924234i
\(525\) 3.36754e7 + 4.22276e7i 0.232721 + 0.291823i
\(526\) −4.50689e7 1.97460e8i −0.309685 1.35682i
\(527\) −3.92216e7 4.91823e7i −0.267975 0.336029i
\(528\) 3.84817e6 + 7.99080e6i 0.0261428 + 0.0542861i
\(529\) −4.93659e7 + 2.16286e8i −0.333473 + 1.46104i
\(530\) −2.88186e7 + 1.38783e7i −0.193573 + 0.0932199i
\(531\) −1.57221e8 + 1.97149e8i −1.05009 + 1.31678i
\(532\) −183497. 803953.i −0.00121869 0.00533944i
\(533\) 5.80240e7 + 2.54220e8i 0.383201 + 1.67891i
\(534\) −1.44849e7 + 3.00782e7i −0.0951242 + 0.197527i
\(535\) −1.67626e7 1.33677e7i −0.109466 0.0872963i
\(536\) −1.40733e8 + 1.12231e8i −0.913906 + 0.728815i
\(537\) −1.31947e7 6.35423e6i −0.0852073 0.0410337i
\(538\) 1.05987e7 2.20085e7i 0.0680624 0.141333i
\(539\) −3.85664e7 4.83608e7i −0.246288 0.308835i
\(540\) −1.33815e6 + 1.67798e6i −0.00849811 + 0.0106563i
\(541\) −1.94645e7 9.37360e6i −0.122928 0.0591990i 0.371409 0.928469i \(-0.378875\pi\)
−0.494337 + 0.869270i \(0.664589\pi\)
\(542\) −1.85820e8 + 4.24121e7i −1.16706 + 0.266374i
\(543\) −1.20171e7 + 2.74282e6i −0.0750585 + 0.0171316i
\(544\) −1.51204e7 1.20581e7i −0.0939220 0.0749003i
\(545\) −1.25730e7 2.61082e7i −0.0776696 0.161283i
\(546\) −7.85499e7 1.79285e7i −0.482578 0.110145i
\(547\) −2.61035e8 + 1.25708e8i −1.59491 + 0.768068i −0.999378 0.0352630i \(-0.988773\pi\)
−0.595532 + 0.803331i \(0.703059\pi\)
\(548\) 2.39885e6 1.91302e6i 0.0145768 0.0116246i
\(549\) −3.61470e7 + 8.25032e6i −0.218452 + 0.0498602i
\(550\) 2.38435e7 1.90146e7i 0.143312 0.114287i
\(551\) −1.91190e6 + 8.37660e6i −0.0114291 + 0.0500741i
\(552\) 6.82349e7 0.405685
\(553\) 2.56439e8i 1.51638i
\(554\) 5.21752e7 2.28595e8i 0.306856 1.34442i
\(555\) −2.49410e7 1.98897e7i −0.145893 0.116346i
\(556\) −1.26561e7 6.09488e6i −0.0736338 0.0354602i
\(557\) 3.57073e7 1.71957e7i 0.206629 0.0995073i −0.327707 0.944779i \(-0.606276\pi\)
0.534336 + 0.845272i \(0.320562\pi\)
\(558\) 7.70358e7i 0.443394i
\(559\) −1.15145e8 1.46931e8i −0.659191 0.841161i
\(560\) 1.29032e8 0.734740
\(561\) 4.04533e6 + 8.40022e6i 0.0229121 + 0.0475775i
\(562\) 2.27090e7 4.71558e7i 0.127935 0.265660i
\(563\) 8.79199e7 1.10248e8i 0.492677 0.617797i −0.471883 0.881661i \(-0.656426\pi\)
0.964560 + 0.263864i \(0.0849971\pi\)
\(564\) −3.18641e6 727278.i −0.0177609 0.00405381i
\(565\) −1.33118e8 −0.738060
\(566\) 2.26568e8i 1.24954i
\(567\) 2.37821e8 + 5.42811e7i 1.30467 + 0.297783i
\(568\) −1.62905e7 2.04276e7i −0.0888973 0.111474i
\(569\) −2.57416e7 1.12781e8i −0.139733 0.612210i −0.995493 0.0948368i \(-0.969767\pi\)
0.855760 0.517373i \(-0.173090\pi\)
\(570\) −651982. 817560.i −0.00352056 0.00441464i
\(571\) −5.22253e7 1.08447e8i −0.280526 0.582517i 0.712329 0.701845i \(-0.247640\pi\)
−0.992855 + 0.119328i \(0.961926\pi\)
\(572\) −615371. + 2.69612e6i −0.00328813 + 0.0144062i
\(573\) −2.35865e7 + 1.13587e7i −0.125372 + 0.0603759i
\(574\) −3.30930e8 + 4.14974e8i −1.74985 + 2.19424i
\(575\) −5.56034e7 2.43614e8i −0.292481 1.28144i
\(576\) 3.66390e7 + 1.60526e8i 0.191724 + 0.839996i
\(577\) −1.17400e8 + 2.43784e8i −0.611141 + 1.26905i 0.334058 + 0.942553i \(0.391582\pi\)
−0.945199 + 0.326495i \(0.894132\pi\)
\(578\) 2.11982e7 + 1.69050e7i 0.109778 + 0.0875451i
\(579\) 1.80884e7 1.44250e7i 0.0931889 0.0743157i
\(580\) 4.78444e6 + 2.30406e6i 0.0245215 + 0.0118089i
\(581\) −5.10465e7 + 1.05999e8i −0.260278 + 0.540473i
\(582\) 3.20178e7 + 4.01490e7i 0.162414 + 0.203660i
\(583\) −1.33895e7 + 1.67899e7i −0.0675706 + 0.0847309i
\(584\) 2.60370e7 + 1.25387e7i 0.130723 + 0.0629529i
\(585\) 7.95603e7 1.81591e7i 0.397401 0.0907042i
\(586\) −2.45593e7 + 5.60551e6i −0.122046 + 0.0278562i
\(587\) 2.61801e8 + 2.08779e8i 1.29437 + 1.03222i 0.996995 + 0.0774608i \(0.0246813\pi\)
0.297371 + 0.954762i \(0.403890\pi\)
\(588\) −2.80725e6 5.82932e6i −0.0138086 0.0286739i
\(589\) 4.61812e6 + 1.05406e6i 0.0226006 + 0.00515844i
\(590\) −1.42037e8 + 6.84012e7i −0.691583 + 0.333049i
\(591\) −8.36127e6 + 6.66789e6i −0.0405051 + 0.0323018i
\(592\) 3.66724e8 8.37024e7i 1.76756 0.403434i
\(593\) 6.97062e7 5.55888e7i 0.334277 0.266577i −0.441937 0.897046i \(-0.645709\pi\)
0.776215 + 0.630469i \(0.217137\pi\)
\(594\) −5.27470e6 + 2.31100e7i −0.0251674 + 0.110266i
\(595\) 1.35643e8 0.643942
\(596\) 2.94780e6i 0.0139238i
\(597\) 201560. 883090.i 0.000947285 0.00415033i
\(598\) 2.91429e8 + 2.32407e8i 1.36279 + 1.08679i
\(599\) −1.75001e8 8.42758e7i −0.814252 0.392123i −0.0200667 0.999799i \(-0.506388\pi\)
−0.794185 + 0.607675i \(0.792102\pi\)
\(600\) −4.15318e7 + 2.00007e7i −0.192277 + 0.0925957i
\(601\) 3.48723e8i 1.60641i −0.595702 0.803206i \(-0.703126\pi\)
0.595702 0.803206i \(-0.296874\pi\)
\(602\) 8.76964e7 3.69716e8i 0.401969 1.69465i
\(603\) −2.46789e8 −1.12558
\(604\) 6.38617e6 + 1.32610e7i 0.0289821 + 0.0601820i
\(605\) 3.76369e7 7.81538e7i 0.169960 0.352926i
\(606\) 4.87012e7 6.10694e7i 0.218838 0.274414i
\(607\) −2.48915e7 5.68131e6i −0.111297 0.0254029i 0.166510 0.986040i \(-0.446750\pi\)
−0.277807 + 0.960637i \(0.589607\pi\)
\(608\) 1.45629e6 0.00647944
\(609\) 1.03872e8i 0.459884i
\(610\) −2.25985e7 5.15797e6i −0.0995614 0.0227242i
\(611\) 1.60864e8 + 2.01717e8i 0.705236 + 0.884337i
\(612\) −2.85143e6 1.24929e7i −0.0124397 0.0545017i
\(613\) −4.83516e7 6.06310e7i −0.209908 0.263216i 0.665721 0.746201i \(-0.268124\pi\)
−0.875629 + 0.482984i \(0.839553\pi\)
\(614\) 3.86640e7 + 8.02867e7i 0.167033 + 0.346847i
\(615\) −9.10428e6 + 3.98885e7i −0.0391400 + 0.171483i
\(616\) 7.32878e7 3.52935e7i 0.313537 0.150992i
\(617\) 1.46263e7 1.83408e7i 0.0622702 0.0780843i −0.749721 0.661754i \(-0.769812\pi\)
0.811991 + 0.583670i \(0.198384\pi\)
\(618\) 1.06865e7 + 4.68207e7i 0.0452763 + 0.198368i
\(619\) −4.45941e7 1.95380e8i −0.188021 0.823773i −0.977659 0.210199i \(-0.932589\pi\)
0.789638 0.613573i \(-0.210268\pi\)
\(620\) 1.27026e6 2.63772e6i 0.00532988 0.0110676i
\(621\) 1.51849e8 + 1.21096e8i 0.634071 + 0.505655i
\(622\) 1.84867e8 1.47427e8i 0.768226 0.612640i
\(623\) 2.93792e8 + 1.41483e8i 1.21500 + 0.585112i
\(624\) 3.17747e7 6.59809e7i 0.130776 0.271559i
\(625\) 7.96061e7 + 9.98229e7i 0.326067 + 0.408875i
\(626\) 2.56080e8 3.21114e8i 1.04388 1.30899i
\(627\) −632539. 304615.i −0.00256617 0.00123580i
\(628\) −1.11989e7 + 2.55608e6i −0.0452165 + 0.0103204i
\(629\) 3.85514e8 8.79910e7i 1.54913 0.353579i
\(630\) 1.29870e8 + 1.03568e8i 0.519381 + 0.414192i
\(631\) −1.33283e8 2.76764e8i −0.530500 1.10159i −0.978249 0.207435i \(-0.933488\pi\)
0.447749 0.894159i \(-0.352226\pi\)
\(632\) −2.13375e8 4.87015e7i −0.845265 0.192926i
\(633\) 8.93434e7 4.30255e7i 0.352250 0.169635i
\(634\) −1.78822e8 + 1.42606e8i −0.701702 + 0.559589i
\(635\) 1.86062e8 4.24674e7i 0.726667 0.165857i
\(636\) −1.75621e6 + 1.40053e6i −0.00682660 + 0.00544403i
\(637\) −1.13652e8 + 4.97943e8i −0.439703 + 1.92647i
\(638\) 5.86508e7 0.225846
\(639\) 3.58219e7i 0.137292i
\(640\) −2.60006e7 + 1.13916e8i −0.0991843 + 0.434555i
\(641\) 1.60219e8 + 1.27770e8i 0.608330 + 0.485127i 0.878536 0.477676i \(-0.158521\pi\)
−0.270207 + 0.962802i \(0.587092\pi\)
\(642\) −2.23161e7 1.07469e7i −0.0843361 0.0406141i
\(643\) −2.70333e8 + 1.30185e8i −1.01687 + 0.489699i −0.866631 0.498950i \(-0.833719\pi\)
−0.150241 + 0.988649i \(0.548005\pi\)
\(644\) 4.61221e7i 0.172684i
\(645\) −6.27485e6 2.86102e7i −0.0233843 0.106621i
\(646\) 1.29621e7 0.0480813
\(647\) −8.71565e7 1.80982e8i −0.321801 0.668226i 0.675827 0.737060i \(-0.263786\pi\)
−0.997628 + 0.0688337i \(0.978072\pi\)
\(648\) −9.03313e7 + 1.87575e8i −0.331981 + 0.689366i
\(649\) −6.59919e7 + 8.27513e7i −0.241411 + 0.302720i
\(650\) −2.45503e8 5.60345e7i −0.893958 0.204040i
\(651\) 5.72661e7 0.207565
\(652\) 52997.1i 0.000191210i
\(653\) −5.84915e7 1.33503e7i −0.210065 0.0479459i 0.116193 0.993227i \(-0.462931\pi\)
−0.326258 + 0.945281i \(0.605788\pi\)
\(654\) −2.08726e7 2.61734e7i −0.0746180 0.0935681i
\(655\) −1.64707e7 7.21630e7i −0.0586123 0.256797i
\(656\) −3.00796e8 3.77186e8i −1.06552 1.33611i
\(657\) 1.71909e7 + 3.56972e7i 0.0606180 + 0.125875i
\(658\) −1.16861e8 + 5.12002e8i −0.410197 + 1.79719i
\(659\) −1.62993e8 + 7.84935e7i −0.569526 + 0.274269i −0.696405 0.717649i \(-0.745218\pi\)
0.126879 + 0.991918i \(0.459504\pi\)
\(660\) −270541. + 339248.i −0.000941026 + 0.00118001i
\(661\) 5.41312e7 + 2.37164e8i 0.187432 + 0.821192i 0.977964 + 0.208772i \(0.0669467\pi\)
−0.790533 + 0.612420i \(0.790196\pi\)
\(662\) 7.91781e7 + 3.46902e8i 0.272917 + 1.19573i
\(663\) 3.34027e7 6.93614e7i 0.114615 0.238000i
\(664\) −7.85042e7 6.26050e7i −0.268157 0.213848i
\(665\) −7.98561e6 + 6.36831e6i −0.0271546 + 0.0216551i
\(666\) 4.36288e8 + 2.10105e8i 1.47690 + 0.711237i
\(667\) 2.08507e8 4.32969e8i 0.702656 1.45908i
\(668\) 3.53190e6 + 4.42886e6i 0.0118489 + 0.0148581i
\(669\) 3.39491e6 4.25708e6i 0.0113384 0.0142178i
\(670\) −1.39009e8 6.69434e7i −0.462189 0.222579i
\(671\) −1.51723e7 + 3.46298e6i −0.0502208 + 0.0114626i
\(672\) 1.71643e7 3.91763e6i 0.0565610 0.0129097i
\(673\) −2.36195e8 1.88359e8i −0.774863 0.617932i 0.154121 0.988052i \(-0.450745\pi\)
−0.928984 + 0.370120i \(0.879317\pi\)
\(674\) 5.87192e7 + 1.21932e8i 0.191779 + 0.398233i
\(675\) −1.27920e8 2.91968e7i −0.415935 0.0949345i
\(676\) 2.55947e6 1.23258e6i 0.00828533 0.00399000i
\(677\) −3.40652e8 + 2.71661e8i −1.09786 + 0.875511i −0.992898 0.118966i \(-0.962042\pi\)
−0.104958 + 0.994477i \(0.533471\pi\)
\(678\) −1.49931e8 + 3.42207e7i −0.481062 + 0.109799i
\(679\) 3.92160e8 3.12737e8i 1.25272 0.999011i
\(680\) −2.57606e7 + 1.12865e8i −0.0819274 + 0.358948i
\(681\) 1.12458e8 0.356082
\(682\) 3.23349e7i 0.101934i
\(683\) −2.80335e7 + 1.22823e8i −0.0879863 + 0.385493i −0.999678 0.0253823i \(-0.991920\pi\)
0.911692 + 0.410875i \(0.134777\pi\)
\(684\) 754401. + 601615.i 0.00235740 + 0.00187997i
\(685\) −3.42402e7 1.64892e7i −0.106528 0.0513013i
\(686\) −4.30093e8 + 2.07122e8i −1.33226 + 0.641584i
\(687\) 1.40511e8i 0.433352i
\(688\) 3.09887e8 + 1.52490e8i 0.951564 + 0.468249i
\(689\) 1.77322e8 0.542131
\(690\) 2.53765e7 + 5.26948e7i 0.0772475 + 0.160406i
\(691\) 6.89828e7 1.43244e8i 0.209077 0.434153i −0.769888 0.638179i \(-0.779688\pi\)
0.978966 + 0.204025i \(0.0654024\pi\)
\(692\) 1.37864e7 1.72876e7i 0.0416038 0.0521695i
\(693\) 1.08727e8 + 2.48163e7i 0.326692 + 0.0745653i
\(694\) −3.52592e8 −1.05486
\(695\) 1.73992e8i 0.518292i
\(696\) −8.64290e7 1.97269e7i −0.256349 0.0585100i
\(697\) −3.16207e8 3.96511e8i −0.933842 1.17100i
\(698\) −7.99992e7 3.50499e8i −0.235244 1.03067i
\(699\) −8.05874e7 1.01053e8i −0.235958 0.295882i
\(700\) −1.35191e7 2.80727e7i −0.0394143 0.0818446i
\(701\) 1.02560e8 4.49345e8i 0.297731 1.30444i −0.575766 0.817615i \(-0.695296\pi\)
0.873497 0.486830i \(-0.161847\pi\)
\(702\) 1.76345e8 8.49234e7i 0.509744 0.245480i
\(703\) −1.85649e7 + 2.32797e7i −0.0534352 + 0.0670056i
\(704\) 1.53788e7 + 6.73789e7i 0.0440762 + 0.193110i
\(705\) 9.00818e6 + 3.94674e7i 0.0257081 + 0.112635i
\(706\) −2.81255e8 + 5.84031e8i −0.799255 + 1.65967i
\(707\) −5.96502e8 4.75695e8i −1.68793 1.34608i
\(708\) −8.65572e6 + 6.90270e6i −0.0243895 + 0.0194500i
\(709\) 3.98167e8 + 1.91747e8i 1.11719 + 0.538010i 0.899023 0.437901i \(-0.144278\pi\)
0.218167 + 0.975912i \(0.429992\pi\)
\(710\) 9.71694e6 2.01774e7i 0.0271490 0.0563756i
\(711\) −1.87088e8 2.34600e8i −0.520518 0.652710i
\(712\) −1.73519e8 + 2.17586e8i −0.480736 + 0.602824i
\(713\) −2.38701e8 1.14952e8i −0.658546 0.317139i
\(714\) 1.52775e8 3.48698e7i 0.419717 0.0957977i
\(715\) 3.33945e7 7.62209e6i 0.0913603 0.0208524i
\(716\) 6.60531e6 + 5.26756e6i 0.0179951 + 0.0143506i
\(717\) −2.04356e7 4.24349e7i −0.0554408 0.115124i
\(718\) −1.60181e8 3.65602e7i −0.432750 0.0987724i
\(719\) 1.10081e8 5.30120e7i 0.296159 0.142622i −0.279904 0.960028i \(-0.590303\pi\)
0.576063 + 0.817406i \(0.304588\pi\)
\(720\) −1.18044e8 + 9.41366e7i −0.316260 + 0.252209i
\(721\) 4.57327e8 1.04382e8i 1.22017 0.278496i
\(722\) 3.02866e8 2.41527e8i 0.804708 0.641733i
\(723\) −1.44609e7 + 6.33572e7i −0.0382631 + 0.167641i
\(724\) 7.11078e6 0.0187371
\(725\) 3.24647e8i 0.851917i
\(726\) 2.22993e7 9.76998e7i 0.0582750 0.255319i
\(727\) 3.43158e7 + 2.73659e7i 0.0893080 + 0.0712208i 0.667126 0.744945i \(-0.267524\pi\)
−0.577818 + 0.816166i \(0.696096\pi\)
\(728\) −6.05144e8 2.91422e8i −1.56843 0.755315i
\(729\) −2.09543e8 + 1.00910e8i −0.540866 + 0.260467i
\(730\) 2.47704e7i 0.0636743i
\(731\) 3.25764e8 + 1.60303e8i 0.833971 + 0.410384i
\(732\) −1.62782e6 −0.00415025
\(733\) −1.84430e8 3.82974e8i −0.468296 0.972427i −0.992661 0.120933i \(-0.961411\pi\)
0.524364 0.851494i \(-0.324303\pi\)
\(734\) −1.91342e8 + 3.97325e8i −0.483862 + 1.00475i
\(735\) −4.99660e7 + 6.26554e7i −0.125838 + 0.157796i
\(736\) −7.94094e7 1.81247e7i −0.199177 0.0454608i
\(737\) −1.03587e8 −0.258764
\(738\) 6.21067e8i 1.54515i
\(739\) 7.77853e8 + 1.77540e8i 1.92737 + 0.439909i 0.997382 + 0.0723098i \(0.0230370\pi\)
0.929984 + 0.367599i \(0.119820\pi\)
\(740\) 1.14741e7 + 1.43881e7i 0.0283155 + 0.0355065i
\(741\) 1.28996e6 + 5.65168e6i 0.00317045 + 0.0138907i
\(742\) 2.25041e8 + 2.82192e8i 0.550871 + 0.690770i
\(743\) −6.64018e7 1.37885e8i −0.161888 0.336163i 0.804208 0.594348i \(-0.202590\pi\)
−0.966095 + 0.258185i \(0.916876\pi\)
\(744\) −1.08757e7 + 4.76494e7i −0.0264081 + 0.115701i
\(745\) 3.28961e7 1.58419e7i 0.0795565 0.0383124i
\(746\) −3.47171e7 + 4.35338e7i −0.0836231 + 0.104860i
\(747\) −3.06334e7 1.34213e8i −0.0734908 0.321984i
\(748\) −1.19686e6 5.24377e6i −0.00285981 0.0125296i
\(749\) −1.04971e8 + 2.17975e8i −0.249819 + 0.518754i
\(750\) −6.80412e7 5.42611e7i −0.161283 0.128619i
\(751\) 3.32583e8 2.65226e8i 0.785199 0.626175i −0.146581 0.989199i \(-0.546827\pi\)
0.931780 + 0.363023i \(0.118255\pi\)
\(752\) −4.30074e8 2.07113e8i −1.01132 0.487028i
\(753\) 9.75325e6 2.02528e7i 0.0228436 0.0474352i
\(754\) −3.01947e8 3.78629e8i −0.704395 0.883284i
\(755\) 1.13667e8 1.42534e8i 0.264115 0.331190i
\(756\) 2.18199e7 + 1.05079e7i 0.0504996 + 0.0243193i
\(757\) </