Properties

Label 13.7.f.a.6.4
Level 13
Weight 7
Character 13.6
Analytic conductor 2.991
Analytic rank 0
Dimension 24
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 13 \)
Weight: \( k \) = \( 7 \)
Character orbit: \([\chi]\) = 13.f (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.99070308706\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(6\) over \(\Q(\zeta_{12})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 6.4
Character \(\chi\) = 13.6
Dual form 13.7.f.a.11.4

$q$-expansion

\(f(q)\) \(=\) \(q+(1.76668 + 6.59335i) q^{2} +(-10.7542 + 18.6268i) q^{3} +(15.0745 - 8.70327i) q^{4} +(-144.857 + 144.857i) q^{5} +(-141.812 - 37.9984i) q^{6} +(49.5658 - 184.982i) q^{7} +(392.922 + 392.922i) q^{8} +(133.195 + 230.701i) q^{9} +O(q^{10})\) \(q+(1.76668 + 6.59335i) q^{2} +(-10.7542 + 18.6268i) q^{3} +(15.0745 - 8.70327i) q^{4} +(-144.857 + 144.857i) q^{5} +(-141.812 - 37.9984i) q^{6} +(49.5658 - 184.982i) q^{7} +(392.922 + 392.922i) q^{8} +(133.195 + 230.701i) q^{9} +(-1211.01 - 699.177i) q^{10} +(1439.16 - 385.622i) q^{11} +374.386i q^{12} +(1708.06 - 1381.79i) q^{13} +1307.22 q^{14} +(-1140.40 - 4256.04i) q^{15} +(-1339.50 + 2320.08i) q^{16} +(-5325.85 + 3074.88i) q^{17} +(-1285.78 + 1285.78i) q^{18} +(2668.98 + 715.152i) q^{19} +(-922.918 + 3444.38i) q^{20} +(2912.58 + 2912.58i) q^{21} +(5085.09 + 8807.63i) q^{22} +(-1100.31 - 635.262i) q^{23} +(-11544.4 + 3093.32i) q^{24} -26342.1i q^{25} +(12128.2 + 8820.62i) q^{26} -21409.2 q^{27} +(-862.768 - 3219.90i) q^{28} +(14334.4 - 24827.9i) q^{29} +(26046.8 - 15038.1i) q^{30} +(-2357.22 + 2357.22i) q^{31} +(16687.9 + 4471.52i) q^{32} +(-8294.10 + 30954.0i) q^{33} +(-29682.9 - 29682.9i) q^{34} +(19616.0 + 33975.9i) q^{35} +(4015.71 + 2318.47i) q^{36} +(37580.6 - 10069.7i) q^{37} +18861.0i q^{38} +(7369.63 + 46675.6i) q^{39} -113835. q^{40} +(-18395.3 - 68652.4i) q^{41} +(-14058.1 + 24349.3i) q^{42} +(-51822.0 + 29919.5i) q^{43} +(18338.5 - 18338.5i) q^{44} +(-52713.0 - 14124.4i) q^{45} +(2244.61 - 8377.01i) q^{46} +(137657. + 137657. i) q^{47} +(-28810.4 - 49901.0i) q^{48} +(70125.5 + 40487.0i) q^{49} +(173683. - 46538.2i) q^{50} -132271. i q^{51} +(13722.0 - 35695.5i) q^{52} -112420. q^{53} +(-37823.3 - 141158. i) q^{54} +(-152613. + 264333. i) q^{55} +(92159.0 - 53208.0i) q^{56} +(-42023.7 + 42023.7i) q^{57} +(189024. + 50648.8i) q^{58} +(90422.1 - 337460. i) q^{59} +(-54232.4 - 54232.4i) q^{60} +(-83261.0 - 144212. i) q^{61} +(-19706.5 - 11377.5i) q^{62} +(49277.5 - 13203.9i) q^{63} +289385. i q^{64} +(-47261.4 + 447586. i) q^{65} -218744. q^{66} +(-42309.5 - 157901. i) q^{67} +(-53523.0 + 92704.6i) q^{68} +(23665.8 - 13663.4i) q^{69} +(-189360. + 189360. i) q^{70} +(312300. + 83680.6i) q^{71} +(-38312.2 + 142983. i) q^{72} +(-413644. - 413644. i) q^{73} +(132786. + 229992. i) q^{74} +(490669. + 283288. i) q^{75} +(46457.8 - 12448.3i) q^{76} -285333. i q^{77} +(-294729. + 131052. i) q^{78} +42458.2 q^{79} +(-142044. - 530115. i) q^{80} +(133139. - 230603. i) q^{81} +(420150. - 242574. i) q^{82} +(-432403. + 432403. i) q^{83} +(69254.6 + 18556.7i) q^{84} +(326069. - 1.21690e6i) q^{85} +(-288823. - 288823. i) q^{86} +(308310. + 534008. i) q^{87} +(716999. + 413959. i) q^{88} +(-112025. + 30017.0i) q^{89} -372509. i q^{90} +(-170946. - 384449. i) q^{91} -22115.4 q^{92} +(-18557.5 - 69257.5i) q^{93} +(-664427. + 1.15082e6i) q^{94} +(-490216. + 283026. i) q^{95} +(-262755. + 262755. i) q^{96} +(966713. + 259030. i) q^{97} +(-143055. + 533890. i) q^{98} +(280653. + 280653. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 12q^{2} - 2q^{3} - 6q^{4} - 114q^{5} + 634q^{6} + 316q^{7} - 1398q^{8} - 1946q^{9} + O(q^{10}) \) \( 24q - 12q^{2} - 2q^{3} - 6q^{4} - 114q^{5} + 634q^{6} + 316q^{7} - 1398q^{8} - 1946q^{9} + 4674q^{10} + 228q^{11} - 1552q^{13} - 14616q^{14} + 7486q^{15} - 2138q^{16} + 20898q^{17} - 5630q^{18} - 14036q^{19} - 14634q^{20} - 314q^{21} + 37852q^{22} + 29634q^{23} + 47154q^{24} + 510q^{26} - 107060q^{27} - 40572q^{28} + 1026q^{29} - 247734q^{30} - 118116q^{31} + 180876q^{32} + 306046q^{33} + 101898q^{34} + 104862q^{35} + 105066q^{36} - 31470q^{37} + 28510q^{39} - 275328q^{40} - 357216q^{41} - 25636q^{42} - 480486q^{43} - 797712q^{44} + 464248q^{45} + 1012050q^{46} + 140028q^{47} + 676102q^{48} + 854562q^{49} + 756714q^{50} - 771704q^{52} - 1397076q^{53} - 1271048q^{54} - 205490q^{55} - 1461108q^{56} - 1483394q^{57} + 1133806q^{58} + 1568052q^{59} + 886808q^{60} + 768676q^{61} + 3741966q^{62} + 1336264q^{63} - 946968q^{65} - 5076928q^{66} - 1489892q^{67} - 569052q^{68} - 1475766q^{69} - 2626556q^{70} + 2136948q^{71} + 4787052q^{72} + 326326q^{73} + 2159718q^{74} + 3466008q^{75} + 1522158q^{76} - 1573544q^{78} - 1734344q^{79} - 5214300q^{80} - 773072q^{81} - 3540426q^{82} - 3642132q^{83} + 2952364q^{84} + 3509916q^{85} - 132324q^{86} + 531698q^{87} + 4478052q^{88} + 632754q^{89} - 2946788q^{91} - 1656060q^{92} - 295514q^{93} + 1552210q^{94} - 2753718q^{95} - 3979208q^{96} + 2258214q^{97} + 4984308q^{98} + 4336480q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/13\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{5}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.76668 + 6.59335i 0.220835 + 0.824169i 0.984030 + 0.178001i \(0.0569629\pi\)
−0.763195 + 0.646168i \(0.776370\pi\)
\(3\) −10.7542 + 18.6268i −0.398303 + 0.689881i −0.993517 0.113687i \(-0.963734\pi\)
0.595214 + 0.803567i \(0.297067\pi\)
\(4\) 15.0745 8.70327i 0.235539 0.135989i
\(5\) −144.857 + 144.857i −1.15886 + 1.15886i −0.174134 + 0.984722i \(0.555713\pi\)
−0.984722 + 0.174134i \(0.944287\pi\)
\(6\) −141.812 37.9984i −0.656538 0.175919i
\(7\) 49.5658 184.982i 0.144507 0.539306i −0.855270 0.518182i \(-0.826609\pi\)
0.999777 0.0211237i \(-0.00672440\pi\)
\(8\) 392.922 + 392.922i 0.767427 + 0.767427i
\(9\) 133.195 + 230.701i 0.182710 + 0.316463i
\(10\) −1211.01 699.177i −1.21101 0.699177i
\(11\) 1439.16 385.622i 1.08126 0.289724i 0.326150 0.945318i \(-0.394248\pi\)
0.755114 + 0.655594i \(0.227582\pi\)
\(12\) 374.386i 0.216659i
\(13\) 1708.06 1381.79i 0.777449 0.628946i
\(14\) 1307.22 0.476391
\(15\) −1140.40 4256.04i −0.337897 1.26105i
\(16\) −1339.50 + 2320.08i −0.327026 + 0.566425i
\(17\) −5325.85 + 3074.88i −1.08403 + 0.625866i −0.931981 0.362507i \(-0.881921\pi\)
−0.152051 + 0.988373i \(0.548588\pi\)
\(18\) −1285.78 + 1285.78i −0.220470 + 0.220470i
\(19\) 2668.98 + 715.152i 0.389121 + 0.104265i 0.448075 0.893996i \(-0.352110\pi\)
−0.0589537 + 0.998261i \(0.518776\pi\)
\(20\) −922.918 + 3444.38i −0.115365 + 0.430547i
\(21\) 2912.58 + 2912.58i 0.314499 + 0.314499i
\(22\) 5085.09 + 8807.63i 0.477563 + 0.827163i
\(23\) −1100.31 635.262i −0.0904337 0.0522119i 0.454101 0.890950i \(-0.349960\pi\)
−0.544535 + 0.838738i \(0.683294\pi\)
\(24\) −11544.4 + 3093.32i −0.835101 + 0.223765i
\(25\) 26342.1i 1.68589i
\(26\) 12128.2 + 8820.62i 0.690046 + 0.501856i
\(27\) −21409.2 −1.08770
\(28\) −862.768 3219.90i −0.0393025 0.146679i
\(29\) 14334.4 24827.9i 0.587741 1.01800i −0.406786 0.913523i \(-0.633351\pi\)
0.994528 0.104474i \(-0.0333160\pi\)
\(30\) 26046.8 15038.1i 0.964697 0.556968i
\(31\) −2357.22 + 2357.22i −0.0791253 + 0.0791253i −0.745562 0.666436i \(-0.767819\pi\)
0.666436 + 0.745562i \(0.267819\pi\)
\(32\) 16687.9 + 4471.52i 0.509275 + 0.136460i
\(33\) −8294.10 + 30954.0i −0.230796 + 0.861341i
\(34\) −29682.9 29682.9i −0.755212 0.755212i
\(35\) 19616.0 + 33975.9i 0.457516 + 0.792440i
\(36\) 4015.71 + 2318.47i 0.0860706 + 0.0496929i
\(37\) 37580.6 10069.7i 0.741923 0.198798i 0.131991 0.991251i \(-0.457863\pi\)
0.609933 + 0.792453i \(0.291196\pi\)
\(38\) 18861.0i 0.343727i
\(39\) 7369.63 + 46675.6i 0.124237 + 0.786858i
\(40\) −113835. −1.77867
\(41\) −18395.3 68652.4i −0.266905 0.996102i −0.961074 0.276290i \(-0.910895\pi\)
0.694169 0.719812i \(-0.255772\pi\)
\(42\) −14058.1 + 24349.3i −0.189748 + 0.328653i
\(43\) −51822.0 + 29919.5i −0.651792 + 0.376312i −0.789142 0.614210i \(-0.789475\pi\)
0.137351 + 0.990522i \(0.456141\pi\)
\(44\) 18338.5 18338.5i 0.215281 0.215281i
\(45\) −52713.0 14124.4i −0.578469 0.155000i
\(46\) 2244.61 8377.01i 0.0230605 0.0860629i
\(47\) 137657. + 137657.i 1.32589 + 1.32589i 0.908924 + 0.416962i \(0.136905\pi\)
0.416962 + 0.908924i \(0.363095\pi\)
\(48\) −28810.4 49901.0i −0.260510 0.451217i
\(49\) 70125.5 + 40487.0i 0.596057 + 0.344134i
\(50\) 173683. 46538.2i 1.38946 0.372305i
\(51\) 132271.i 0.997137i
\(52\) 13722.0 35695.5i 0.0975903 0.253866i
\(53\) −112420. −0.755122 −0.377561 0.925985i \(-0.623237\pi\)
−0.377561 + 0.925985i \(0.623237\pi\)
\(54\) −37823.3 141158.i −0.240203 0.896449i
\(55\) −152613. + 264333.i −0.917281 + 1.58878i
\(56\) 92159.0 53208.0i 0.524776 0.302979i
\(57\) −42023.7 + 42023.7i −0.226918 + 0.226918i
\(58\) 189024. + 50648.8i 0.968796 + 0.259588i
\(59\) 90422.1 337460.i 0.440269 1.64311i −0.287864 0.957671i \(-0.592945\pi\)
0.728133 0.685436i \(-0.240388\pi\)
\(60\) −54232.4 54232.4i −0.251076 0.251076i
\(61\) −83261.0 144212.i −0.366819 0.635349i 0.622247 0.782821i \(-0.286220\pi\)
−0.989066 + 0.147472i \(0.952887\pi\)
\(62\) −19706.5 11377.5i −0.0826863 0.0477390i
\(63\) 49277.5 13203.9i 0.197073 0.0528055i
\(64\) 289385.i 1.10392i
\(65\) −47261.4 + 447586.i −0.172094 + 1.62981i
\(66\) −218744. −0.760858
\(67\) −42309.5 157901.i −0.140674 0.525003i −0.999910 0.0134230i \(-0.995727\pi\)
0.859236 0.511580i \(-0.170939\pi\)
\(68\) −53523.0 + 92704.6i −0.170221 + 0.294832i
\(69\) 23665.8 13663.4i 0.0720400 0.0415923i
\(70\) −189360. + 189360.i −0.552069 + 0.552069i
\(71\) 312300. + 83680.6i 0.872564 + 0.233803i 0.667196 0.744882i \(-0.267494\pi\)
0.205368 + 0.978685i \(0.434161\pi\)
\(72\) −38312.2 + 142983.i −0.102645 + 0.383078i
\(73\) −413644. 413644.i −1.06331 1.06331i −0.997856 0.0654504i \(-0.979152\pi\)
−0.0654504 0.997856i \(-0.520848\pi\)
\(74\) 132786. + 229992.i 0.327686 + 0.567569i
\(75\) 490669. + 283288.i 1.16307 + 0.671497i
\(76\) 46457.8 12448.3i 0.105832 0.0283576i
\(77\) 285333.i 0.624999i
\(78\) −294729. + 131052.i −0.621068 + 0.276159i
\(79\) 42458.2 0.0861154 0.0430577 0.999073i \(-0.486290\pi\)
0.0430577 + 0.999073i \(0.486290\pi\)
\(80\) −142044. 530115.i −0.277429 1.03538i
\(81\) 133139. 230603.i 0.250525 0.433921i
\(82\) 420150. 242574.i 0.762014 0.439949i
\(83\) −432403. + 432403.i −0.756231 + 0.756231i −0.975634 0.219403i \(-0.929589\pi\)
0.219403 + 0.975634i \(0.429589\pi\)
\(84\) 69254.6 + 18556.7i 0.116845 + 0.0313086i
\(85\) 326069. 1.21690e6i 0.530948 1.98153i
\(86\) −288823. 288823.i −0.454084 0.454084i
\(87\) 308310. + 534008.i 0.468198 + 0.810943i
\(88\) 716999. + 413959.i 1.05213 + 0.607449i
\(89\) −112025. + 30017.0i −0.158908 + 0.0425791i −0.337396 0.941363i \(-0.609546\pi\)
0.178488 + 0.983942i \(0.442879\pi\)
\(90\) 372509.i 0.510986i
\(91\) −170946. 384449.i −0.226848 0.510170i
\(92\) −22115.4 −0.0284009
\(93\) −18557.5 69257.5i −0.0230712 0.0861029i
\(94\) −664427. + 1.15082e6i −0.799952 + 1.38556i
\(95\) −490216. + 283026.i −0.571763 + 0.330108i
\(96\) −262755. + 262755.i −0.296987 + 0.296987i
\(97\) 966713. + 259030.i 1.05921 + 0.283815i 0.746053 0.665886i \(-0.231946\pi\)
0.313158 + 0.949701i \(0.398613\pi\)
\(98\) −143055. + 533890.i −0.151994 + 0.567248i
\(99\) 280653. + 280653.i 0.289244 + 0.289244i
\(100\) −229262. 397094.i −0.229262 0.397094i
\(101\) −989996. 571574.i −0.960880 0.554764i −0.0644364 0.997922i \(-0.520525\pi\)
−0.896444 + 0.443157i \(0.853858\pi\)
\(102\) 872111. 233681.i 0.821809 0.220203i
\(103\) 859775.i 0.786816i 0.919364 + 0.393408i \(0.128704\pi\)
−0.919364 + 0.393408i \(0.871296\pi\)
\(104\) 1.21407e6 + 128196.i 1.07930 + 0.113966i
\(105\) −843815. −0.728919
\(106\) −198611. 741227.i −0.166758 0.622348i
\(107\) −246853. + 427563.i −0.201506 + 0.349019i −0.949014 0.315234i \(-0.897917\pi\)
0.747508 + 0.664253i \(0.231250\pi\)
\(108\) −322733. + 186330.i −0.256196 + 0.147915i
\(109\) 107141. 107141.i 0.0827324 0.0827324i −0.664530 0.747262i \(-0.731368\pi\)
0.747262 + 0.664530i \(0.231368\pi\)
\(110\) −2.01246e6 539236.i −1.51199 0.405136i
\(111\) −216583. + 808298.i −0.158363 + 0.591020i
\(112\) 362779. + 362779.i 0.258219 + 0.258219i
\(113\) −716209. 1.24051e6i −0.496369 0.859736i 0.503622 0.863924i \(-0.332000\pi\)
−0.999991 + 0.00418765i \(0.998667\pi\)
\(114\) −351319. 202834.i −0.237131 0.136907i
\(115\) 251409. 67364.9i 0.165306 0.0442935i
\(116\) 499025.i 0.319704i
\(117\) 546287. + 210002.i 0.341085 + 0.131119i
\(118\) 2.38474e6 1.45143
\(119\) 304818. + 1.13759e6i 0.180884 + 0.675067i
\(120\) 1.22420e6 2.12038e6i 0.708451 1.22707i
\(121\) 388267. 224166.i 0.219166 0.126536i
\(122\) 803746. 803746.i 0.442629 0.442629i
\(123\) 1.47660e6 + 395653.i 0.793501 + 0.212618i
\(124\) −15018.4 + 56049.5i −0.00787697 + 0.0293973i
\(125\) 1.55245e6 + 1.55245e6i 0.794854 + 0.794854i
\(126\) 174115. + 301577.i 0.0870414 + 0.150760i
\(127\) −864297. 499002.i −0.421941 0.243608i 0.273966 0.961739i \(-0.411664\pi\)
−0.695908 + 0.718131i \(0.744998\pi\)
\(128\) −839988. + 225074.i −0.400537 + 0.107324i
\(129\) 1.28704e6i 0.599545i
\(130\) −3.03459e6 + 479132.i −1.38124 + 0.218085i
\(131\) −3.59354e6 −1.59849 −0.799243 0.601008i \(-0.794766\pi\)
−0.799243 + 0.601008i \(0.794766\pi\)
\(132\) 144372. + 538802.i 0.0627711 + 0.234265i
\(133\) 264580. 458267.i 0.112461 0.194788i
\(134\) 966352. 557923.i 0.401625 0.231878i
\(135\) 3.10127e6 3.10127e6i 1.26049 1.26049i
\(136\) −3.30083e6 884456.i −1.31222 0.351609i
\(137\) −644543. + 2.40547e6i −0.250663 + 0.935487i 0.719789 + 0.694193i \(0.244238\pi\)
−0.970452 + 0.241294i \(0.922428\pi\)
\(138\) 131898. + 131898.i 0.0501880 + 0.0501880i
\(139\) 1.28864e6 + 2.23199e6i 0.479830 + 0.831089i 0.999732 0.0231362i \(-0.00736514\pi\)
−0.519903 + 0.854225i \(0.674032\pi\)
\(140\) 591402. + 341446.i 0.215526 + 0.124434i
\(141\) −4.04451e6 + 1.08372e6i −1.44281 + 0.386599i
\(142\) 2.20694e6i 0.770772i
\(143\) 1.92532e6 2.64729e6i 0.658407 0.905302i
\(144\) −713659. −0.239003
\(145\) 1.52006e6 + 5.67294e6i 0.498605 + 1.86082i
\(146\) 1.99652e6 3.45808e6i 0.641528 1.11116i
\(147\) −1.50828e6 + 870808.i −0.474822 + 0.274139i
\(148\) 478870. 478870.i 0.147718 0.147718i
\(149\) −1.11954e6 299979.i −0.338438 0.0906842i 0.0855974 0.996330i \(-0.472720\pi\)
−0.424035 + 0.905646i \(0.639387\pi\)
\(150\) −1.00096e6 + 3.73563e6i −0.296580 + 1.10685i
\(151\) −1.84569e6 1.84569e6i −0.536079 0.536079i 0.386296 0.922375i \(-0.373754\pi\)
−0.922375 + 0.386296i \(0.873754\pi\)
\(152\) 767704. + 1.32970e6i 0.218606 + 0.378638i
\(153\) −1.41876e6 819120.i −0.396126 0.228704i
\(154\) 1.88130e6 504092.i 0.515105 0.138022i
\(155\) 682921.i 0.183390i
\(156\) 517324. + 639472.i 0.136266 + 0.168441i
\(157\) 5.86194e6 1.51475 0.757377 0.652978i \(-0.226480\pi\)
0.757377 + 0.652978i \(0.226480\pi\)
\(158\) 75010.3 + 279942.i 0.0190173 + 0.0709736i
\(159\) 1.20899e6 2.09403e6i 0.300767 0.520944i
\(160\) −3.06510e6 + 1.76963e6i −0.748314 + 0.432040i
\(161\) −172050. + 172050.i −0.0412264 + 0.0412264i
\(162\) 1.75566e6 + 470429.i 0.412949 + 0.110649i
\(163\) 1.55231e6 5.79331e6i 0.358440 1.33772i −0.517660 0.855587i \(-0.673197\pi\)
0.876100 0.482130i \(-0.160137\pi\)
\(164\) −874801. 874801.i −0.198325 0.198325i
\(165\) −3.28245e6 5.68536e6i −0.730711 1.26563i
\(166\) −3.61491e6 2.08707e6i −0.790265 0.456260i
\(167\) −1.33679e6 + 358193.i −0.287022 + 0.0769073i −0.399457 0.916752i \(-0.630801\pi\)
0.112436 + 0.993659i \(0.464135\pi\)
\(168\) 2.28883e6i 0.482710i
\(169\) 1.00810e6 4.72036e6i 0.208855 0.977947i
\(170\) 8.59954e6 1.75036
\(171\) 190510. + 710993.i 0.0381004 + 0.142193i
\(172\) −520794. + 902042.i −0.102348 + 0.177273i
\(173\) 2.09107e6 1.20728e6i 0.403859 0.233168i −0.284289 0.958739i \(-0.591758\pi\)
0.688148 + 0.725571i \(0.258424\pi\)
\(174\) −2.97622e6 + 2.97622e6i −0.564959 + 0.564959i
\(175\) −4.87281e6 1.30567e6i −0.909213 0.243623i
\(176\) −1.03308e6 + 3.85551e6i −0.189494 + 0.707202i
\(177\) 5.31337e6 + 5.31337e6i 0.958188 + 0.958188i
\(178\) −395825. 685589.i −0.0701848 0.121564i
\(179\) 990697. + 571979.i 0.172736 + 0.0997289i 0.583875 0.811843i \(-0.301536\pi\)
−0.411140 + 0.911572i \(0.634869\pi\)
\(180\) −917551. + 245857.i −0.157330 + 0.0421565i
\(181\) 3.67696e6i 0.620087i −0.950722 0.310044i \(-0.899656\pi\)
0.950722 0.310044i \(-0.100344\pi\)
\(182\) 2.23280e6 1.80631e6i 0.370370 0.299624i
\(183\) 3.58161e6 0.584420
\(184\) −182726. 681944.i −0.0293324 0.109470i
\(185\) −3.98515e6 + 6.90249e6i −0.629404 + 1.09016i
\(186\) 423854. 244712.i 0.0658684 0.0380291i
\(187\) −6.47902e6 + 6.47902e6i −0.990796 + 0.990796i
\(188\) 3.27319e6 + 877048.i 0.492604 + 0.131993i
\(189\) −1.06116e6 + 3.96032e6i −0.157180 + 0.586603i
\(190\) −2.73215e6 2.73215e6i −0.398330 0.398330i
\(191\) 2.20303e6 + 3.81577e6i 0.316170 + 0.547623i 0.979686 0.200540i \(-0.0642695\pi\)
−0.663515 + 0.748163i \(0.730936\pi\)
\(192\) −5.39031e6 3.11209e6i −0.761570 0.439693i
\(193\) −4.88717e6 + 1.30951e6i −0.679807 + 0.182154i −0.582168 0.813068i \(-0.697796\pi\)
−0.0976386 + 0.995222i \(0.531129\pi\)
\(194\) 6.83151e6i 0.935645i
\(195\) −7.82884e6 5.69375e6i −1.05583 0.767882i
\(196\) 1.40948e6 0.187193
\(197\) 362631. + 1.35336e6i 0.0474314 + 0.177016i 0.985578 0.169222i \(-0.0541255\pi\)
−0.938147 + 0.346238i \(0.887459\pi\)
\(198\) −1.35462e6 + 2.34627e6i −0.174511 + 0.302262i
\(199\) 147358. 85077.1i 0.0186988 0.0107958i −0.490621 0.871373i \(-0.663230\pi\)
0.509320 + 0.860577i \(0.329897\pi\)
\(200\) 1.03504e7 1.03504e7i 1.29380 1.29380i
\(201\) 3.39620e6 + 910008.i 0.418220 + 0.112062i
\(202\) 2.01958e6 7.53718e6i 0.245023 0.914439i
\(203\) −3.88222e6 3.88222e6i −0.464080 0.464080i
\(204\) −1.15119e6 1.99392e6i −0.135599 0.234865i
\(205\) 1.26095e7 + 7.28008e6i 1.46364 + 0.845035i
\(206\) −5.66880e6 + 1.51895e6i −0.648469 + 0.173757i
\(207\) 338456.i 0.0381585i
\(208\) 917931. + 5.81373e6i 0.102005 + 0.646048i
\(209\) 4.11688e6 0.450951
\(210\) −1.49075e6 5.56357e6i −0.160971 0.600752i
\(211\) 5.13267e6 8.89005e6i 0.546382 0.946361i −0.452137 0.891949i \(-0.649338\pi\)
0.998519 0.0544124i \(-0.0173286\pi\)
\(212\) −1.69468e6 + 978424.i −0.177861 + 0.102688i
\(213\) −4.91723e6 + 4.91723e6i −0.508841 + 0.508841i
\(214\) −3.25518e6 872224.i −0.332150 0.0889993i
\(215\) 3.17274e6 1.18408e7i 0.319241 1.19142i
\(216\) −8.41216e6 8.41216e6i −0.834730 0.834730i
\(217\) 319206. + 552881.i 0.0312386 + 0.0541069i
\(218\) 895701. + 517133.i 0.0864557 + 0.0499152i
\(219\) 1.21533e7 3.25646e6i 1.15707 0.310037i
\(220\) 5.31292e6i 0.498959i
\(221\) −4.84800e6 + 1.26113e7i −0.449144 + 1.16838i
\(222\) −5.71202e6 −0.522073
\(223\) 3.63396e6 + 1.35621e7i 0.327692 + 1.22296i 0.911578 + 0.411127i \(0.134865\pi\)
−0.583886 + 0.811835i \(0.698469\pi\)
\(224\) 1.65430e6 2.86533e6i 0.147187 0.254936i
\(225\) 6.07716e6 3.50865e6i 0.533523 0.308029i
\(226\) 6.91381e6 6.91381e6i 0.598952 0.598952i
\(227\) −30129.2 8073.09i −0.00257579 0.000690180i 0.257531 0.966270i \(-0.417091\pi\)
−0.260107 + 0.965580i \(0.583758\pi\)
\(228\) −267743. + 999230.i −0.0225898 + 0.0843065i
\(229\) 5.05317e6 + 5.05317e6i 0.420783 + 0.420783i 0.885473 0.464691i \(-0.153834\pi\)
−0.464691 + 0.885473i \(0.653834\pi\)
\(230\) 888321. + 1.53862e6i 0.0730107 + 0.126458i
\(231\) 5.31483e6 + 3.06852e6i 0.431175 + 0.248939i
\(232\) 1.53878e7 4.12314e6i 1.23229 0.330190i
\(233\) 1.45683e7i 1.15170i −0.817555 0.575850i \(-0.804671\pi\)
0.817555 0.575850i \(-0.195329\pi\)
\(234\) −419502. + 3.97287e6i −0.0327406 + 0.310068i
\(235\) −3.98813e7 −3.07302
\(236\) −1.57394e6 5.87401e6i −0.119743 0.446888i
\(237\) −456603. + 790860.i −0.0343000 + 0.0594093i
\(238\) −6.96204e6 + 4.01954e6i −0.516423 + 0.298157i
\(239\) −1.22371e7 + 1.22371e7i −0.896368 + 0.896368i −0.995113 0.0987444i \(-0.968517\pi\)
0.0987444 + 0.995113i \(0.468517\pi\)
\(240\) 1.14019e7 + 3.05513e6i 0.824790 + 0.221002i
\(241\) −2.56550e6 + 9.57457e6i −0.183282 + 0.684019i 0.811709 + 0.584062i \(0.198537\pi\)
−0.994992 + 0.0999575i \(0.968129\pi\)
\(242\) 2.16395e6 + 2.16395e6i 0.152687 + 0.152687i
\(243\) −4.94006e6 8.55643e6i −0.344281 0.596313i
\(244\) −2.51024e6 1.44929e6i −0.172801 0.0997664i
\(245\) −1.60230e7 + 4.29335e6i −1.08955 + 0.291943i
\(246\) 1.04347e7i 0.700932i
\(247\) 5.54696e6 2.46646e6i 0.368099 0.163676i
\(248\) −1.85241e6 −0.121446
\(249\) −3.40414e6 1.27044e7i −0.220500 0.822918i
\(250\) −7.49315e6 + 1.29785e7i −0.479562 + 0.830625i
\(251\) 1.79413e7 1.03584e7i 1.13457 0.655046i 0.189492 0.981882i \(-0.439316\pi\)
0.945081 + 0.326836i \(0.105983\pi\)
\(252\) 627917. 627917.i 0.0392374 0.0392374i
\(253\) −1.82849e6 489943.i −0.112910 0.0302541i
\(254\) 1.76316e6 6.58019e6i 0.107594 0.401548i
\(255\) 1.91604e7 + 1.91604e7i 1.15554 + 1.15554i
\(256\) 6.29233e6 + 1.08986e7i 0.375052 + 0.649609i
\(257\) −1.54140e7 8.89925e6i −0.908060 0.524269i −0.0282538 0.999601i \(-0.508995\pi\)
−0.879807 + 0.475332i \(0.842328\pi\)
\(258\) 8.48588e6 2.27379e6i 0.494126 0.132401i
\(259\) 7.45085e6i 0.428851i
\(260\) 3.18302e6 + 7.15847e6i 0.181101 + 0.407287i
\(261\) 7.63712e6 0.429544
\(262\) −6.34865e6 2.36935e7i −0.353002 1.31742i
\(263\) −1.49796e7 + 2.59455e7i −0.823445 + 1.42625i 0.0796577 + 0.996822i \(0.474617\pi\)
−0.903102 + 0.429426i \(0.858716\pi\)
\(264\) −1.54215e7 + 8.90358e6i −0.838135 + 0.483897i
\(265\) 1.62849e7 1.62849e7i 0.875078 0.875078i
\(266\) 3.48894e6 + 934859.i 0.185374 + 0.0496708i
\(267\) 645616. 2.40947e6i 0.0339188 0.126587i
\(268\) −2.01205e6 2.01205e6i −0.104529 0.104529i
\(269\) 359344. + 622402.i 0.0184609 + 0.0319753i 0.875108 0.483927i \(-0.160790\pi\)
−0.856647 + 0.515902i \(0.827457\pi\)
\(270\) 2.59268e7 + 1.49688e7i 1.31722 + 0.760495i
\(271\) 3.51219e7 9.41089e6i 1.76470 0.472850i 0.777037 0.629455i \(-0.216722\pi\)
0.987661 + 0.156605i \(0.0500551\pi\)
\(272\) 1.64752e7i 0.818697i
\(273\) 8.99943e6 + 950265.i 0.442310 + 0.0467043i
\(274\) −1.69988e7 −0.826354
\(275\) −1.01581e7 3.79106e7i −0.488444 1.82290i
\(276\) 237833. 411939.i 0.0113122 0.0195932i
\(277\) 1.55080e7 8.95353e6i 0.729652 0.421265i −0.0886431 0.996063i \(-0.528253\pi\)
0.818295 + 0.574799i \(0.194920\pi\)
\(278\) −1.24397e7 + 1.24397e7i −0.578995 + 0.578995i
\(279\) −857786. 229843.i −0.0394972 0.0105832i
\(280\) −5.64232e6 + 2.10574e7i −0.257030 + 0.959249i
\(281\) −6.31936e6 6.31936e6i −0.284809 0.284809i 0.550214 0.835024i \(-0.314546\pi\)
−0.835024 + 0.550214i \(0.814546\pi\)
\(282\) −1.42907e7 2.47523e7i −0.637246 1.10374i
\(283\) −1.35802e7 7.84053e6i −0.599165 0.345928i 0.169548 0.985522i \(-0.445769\pi\)
−0.768713 + 0.639594i \(0.779103\pi\)
\(284\) 5.43607e6 1.45659e6i 0.237318 0.0635891i
\(285\) 1.21749e7i 0.525931i
\(286\) 2.08559e7 + 8.01738e6i 0.891521 + 0.342716i
\(287\) −1.36112e7 −0.575773
\(288\) 1.19117e6 + 4.44551e6i 0.0498651 + 0.186099i
\(289\) 6.84099e6 1.18489e7i 0.283417 0.490892i
\(290\) −3.47182e7 + 2.00446e7i −1.42352 + 0.821870i
\(291\) −1.52211e7 + 1.52211e7i −0.617685 + 0.617685i
\(292\) −9.83554e6 2.63542e6i −0.395048 0.105853i
\(293\) −298902. + 1.11552e6i −0.0118830 + 0.0443479i −0.971613 0.236577i \(-0.923974\pi\)
0.959730 + 0.280925i \(0.0906411\pi\)
\(294\) −8.40620e6 8.40620e6i −0.330794 0.330794i
\(295\) 3.57851e7 + 6.19817e7i 1.39392 + 2.41433i
\(296\) 1.87229e7 + 1.08097e7i 0.721934 + 0.416809i
\(297\) −3.08113e7 + 8.25587e6i −1.17609 + 0.315133i
\(298\) 7.91146e6i 0.298956i
\(299\) −2.75719e6 + 435333.i −0.103146 + 0.0162858i
\(300\) 9.86212e6 0.365264
\(301\) 2.96596e6 + 1.10691e7i 0.108759 + 0.405895i
\(302\) 8.90855e6 1.54301e7i 0.323434 0.560205i
\(303\) 2.12932e7 1.22936e7i 0.765443 0.441928i
\(304\) −5.23430e6 + 5.23430e6i −0.186311 + 0.186311i
\(305\) 3.29511e7 + 8.82922e6i 1.16137 + 0.311188i
\(306\) 2.89425e6 1.08015e7i 0.101012 0.376981i
\(307\) 5.46628e6 + 5.46628e6i 0.188919 + 0.188919i 0.795229 0.606309i \(-0.207351\pi\)
−0.606309 + 0.795229i \(0.707351\pi\)
\(308\) −2.48333e6 4.30125e6i −0.0849927 0.147212i
\(309\) −1.60148e7 9.24617e6i −0.542809 0.313391i
\(310\) 4.50274e6 1.20650e6i 0.151144 0.0404990i
\(311\) 1.86986e7i 0.621623i 0.950472 + 0.310811i \(0.100601\pi\)
−0.950472 + 0.310811i \(0.899399\pi\)
\(312\) −1.54442e7 + 2.12356e7i −0.508513 + 0.699199i
\(313\) −4.30155e7 −1.40279 −0.701394 0.712774i \(-0.747439\pi\)
−0.701394 + 0.712774i \(0.747439\pi\)
\(314\) 1.03562e7 + 3.86498e7i 0.334511 + 1.24841i
\(315\) −5.22552e6 + 9.05086e6i −0.167185 + 0.289573i
\(316\) 640037. 369526.i 0.0202835 0.0117107i
\(317\) −2.47479e7 + 2.47479e7i −0.776891 + 0.776891i −0.979301 0.202410i \(-0.935123\pi\)
0.202410 + 0.979301i \(0.435123\pi\)
\(318\) 1.59426e7 + 4.27180e6i 0.495766 + 0.132840i
\(319\) 1.10553e7 4.12591e7i 0.340565 1.27101i
\(320\) −4.19194e7 4.19194e7i −1.27928 1.27928i
\(321\) −5.30941e6 9.19617e6i −0.160521 0.278030i
\(322\) −1.43834e6 830426.i −0.0430818 0.0248733i
\(323\) −1.64136e7 + 4.39801e6i −0.487076 + 0.130512i
\(324\) 4.63498e6i 0.136274i
\(325\) −3.63994e7 4.49938e7i −1.06034 1.31070i
\(326\) 4.09398e7 1.18166
\(327\) 843478. + 3.14790e6i 0.0241229 + 0.0900280i
\(328\) 1.97471e7 3.42030e7i 0.559605 0.969265i
\(329\) 3.22872e7 1.86410e7i 0.906657 0.523459i
\(330\) 3.16866e7 3.16866e7i 0.881725 0.881725i
\(331\) −3.75950e6 1.00736e6i −0.103668 0.0277779i 0.206612 0.978423i \(-0.433756\pi\)
−0.310280 + 0.950645i \(0.600423\pi\)
\(332\) −2.75494e6 + 1.02816e7i −0.0752832 + 0.280961i
\(333\) 7.32866e6 + 7.32866e6i 0.198469 + 0.198469i
\(334\) −4.72338e6 8.18114e6i −0.126769 0.219571i
\(335\) 2.90020e7 + 1.67443e7i 0.771423 + 0.445382i
\(336\) −1.06588e7 + 2.85602e6i −0.280990 + 0.0752909i
\(337\) 4.77229e7i 1.24691i 0.781857 + 0.623457i \(0.214273\pi\)
−0.781857 + 0.623457i \(0.785727\pi\)
\(338\) 3.29040e7 1.69262e6i 0.852116 0.0438337i
\(339\) 3.08090e7 0.790821
\(340\) −5.67573e6 2.11821e7i −0.144406 0.538930i
\(341\) −2.48343e6 + 4.30142e6i −0.0626309 + 0.108480i
\(342\) −4.35125e6 + 2.51220e6i −0.108777 + 0.0628023i
\(343\) 2.68968e7 2.68968e7i 0.666527 0.666527i
\(344\) −3.21180e7 8.60601e6i −0.788994 0.211410i
\(345\) −1.44891e6 + 5.40740e6i −0.0352845 + 0.131683i
\(346\) 1.16543e7 + 1.16543e7i 0.281356 + 0.281356i
\(347\) −7.26483e6 1.25831e7i −0.173875 0.301160i 0.765896 0.642964i \(-0.222296\pi\)
−0.939771 + 0.341804i \(0.888962\pi\)
\(348\) 9.29524e6 + 5.36661e6i 0.220558 + 0.127339i
\(349\) −6.86790e6 + 1.84025e6i −0.161565 + 0.0432912i −0.338695 0.940896i \(-0.609985\pi\)
0.177130 + 0.984188i \(0.443319\pi\)
\(350\) 3.44349e7i 0.803146i
\(351\) −3.65681e7 + 2.95831e7i −0.845632 + 0.684105i
\(352\) 2.57410e7 0.590197
\(353\) 4.25285e6 + 1.58718e7i 0.0966842 + 0.360830i 0.997269 0.0738491i \(-0.0235283\pi\)
−0.900585 + 0.434680i \(0.856862\pi\)
\(354\) −2.56459e7 + 4.44200e7i −0.578107 + 1.00131i
\(355\) −5.73606e7 + 3.31172e7i −1.28212 + 0.740233i
\(356\) −1.42747e6 + 1.42747e6i −0.0316387 + 0.0316387i
\(357\) −2.44678e7 6.55612e6i −0.537762 0.144093i
\(358\) −2.02101e6 + 7.54252e6i −0.0440474 + 0.164387i
\(359\) 2.44298e7 + 2.44298e7i 0.528004 + 0.528004i 0.919977 0.391973i \(-0.128207\pi\)
−0.391973 + 0.919977i \(0.628207\pi\)
\(360\) −1.51623e7 2.62619e7i −0.324981 0.562884i
\(361\) −3.41309e7 1.97055e7i −0.725481 0.418857i
\(362\) 2.42435e7 6.49602e6i 0.511057 0.136937i
\(363\) 9.64288e6i 0.201598i
\(364\) −5.92289e6 4.30759e6i −0.122809 0.0893163i
\(365\) 1.19839e8 2.46444
\(366\) 6.32757e6 + 2.36148e7i 0.129061 + 0.481661i
\(367\) −1.05551e7 + 1.82819e7i −0.213532 + 0.369848i −0.952817 0.303544i \(-0.901830\pi\)
0.739286 + 0.673392i \(0.235163\pi\)
\(368\) 2.94771e6 1.70186e6i 0.0591482 0.0341493i
\(369\) 1.33880e7 1.33880e7i 0.266463 0.266463i
\(370\) −5.25510e7 1.40810e7i −1.03747 0.277990i
\(371\) −5.57220e6 + 2.07957e7i −0.109120 + 0.407242i
\(372\) −882511. 882511.i −0.0171432 0.0171432i
\(373\) −2.94962e7 5.10890e7i −0.568382 0.984466i −0.996726 0.0808508i \(-0.974236\pi\)
0.428344 0.903616i \(-0.359097\pi\)
\(374\) −5.41648e7 3.12721e7i −1.03539 0.597781i
\(375\) −4.56124e7 + 1.22218e7i −0.864946 + 0.231762i
\(376\) 1.08177e8i 2.03504i
\(377\) −9.82310e6 6.22147e7i −0.183326 1.16110i
\(378\) −2.79865e7 −0.518171
\(379\) 1.40945e7 + 5.26014e7i 0.258900 + 0.966227i 0.965879 + 0.258993i \(0.0833907\pi\)
−0.706979 + 0.707234i \(0.749943\pi\)
\(380\) −4.92651e6 + 8.53296e6i −0.0897818 + 0.155507i
\(381\) 1.85896e7 1.07327e7i 0.336121 0.194059i
\(382\) −2.12666e7 + 2.12666e7i −0.381512 + 0.381512i
\(383\) 3.41117e7 + 9.14020e6i 0.607165 + 0.162689i 0.549286 0.835634i \(-0.314900\pi\)
0.0578788 + 0.998324i \(0.481566\pi\)
\(384\) 4.84097e6 1.80668e7i 0.0854946 0.319070i
\(385\) 4.13324e7 + 4.13324e7i 0.724284 + 0.724284i
\(386\) −1.72682e7 2.99093e7i −0.300251 0.520050i
\(387\) −1.38049e7 7.97027e6i −0.238177 0.137512i
\(388\) 1.68271e7 4.50882e6i 0.288081 0.0771911i
\(389\) 2.66394e7i 0.452559i −0.974062 0.226280i \(-0.927344\pi\)
0.974062 0.226280i \(-0.0726563\pi\)
\(390\) 2.37098e7 6.16773e7i 0.399700 1.03976i
\(391\) 7.81342e6 0.130711
\(392\) 1.16456e7 + 4.34621e7i 0.193333 + 0.721527i
\(393\) 3.86456e7 6.69361e7i 0.636682 1.10276i
\(394\) −8.28250e6 + 4.78191e6i −0.135417 + 0.0781830i
\(395\) −6.15037e6 + 6.15037e6i −0.0997953 + 0.0997953i
\(396\) 6.67331e6 + 1.78811e6i 0.107462 + 0.0287944i
\(397\) 1.01829e7 3.80032e7i 0.162742 0.607363i −0.835575 0.549376i \(-0.814865\pi\)
0.998317 0.0579865i \(-0.0184680\pi\)
\(398\) 821278. + 821278.i 0.0130269 + 0.0130269i
\(399\) 5.69069e6 + 9.85656e6i 0.0895872 + 0.155170i
\(400\) 6.11157e7 + 3.52852e7i 0.954933 + 0.551331i
\(401\) −5.23874e6 + 1.40372e6i −0.0812444 + 0.0217694i −0.299212 0.954187i \(-0.596724\pi\)
0.217968 + 0.975956i \(0.430057\pi\)
\(402\) 2.40000e7i 0.369431i
\(403\) −769073. + 7.28346e6i −0.0117504 + 0.111281i
\(404\) −1.98983e7 −0.301767
\(405\) 1.41184e7 + 5.26907e7i 0.212530 + 0.793174i
\(406\) 1.87382e7 3.24555e7i 0.279995 0.484965i
\(407\) 5.02015e7 2.89839e7i 0.744619 0.429906i
\(408\) 5.19723e7 5.19723e7i 0.765229 0.765229i
\(409\) −6.44250e7 1.72626e7i −0.941639 0.252311i −0.244828 0.969566i \(-0.578732\pi\)
−0.696811 + 0.717255i \(0.745398\pi\)
\(410\) −2.57232e7 + 9.60003e7i −0.373227 + 1.39290i
\(411\) −3.78746e7 3.78746e7i −0.545534 0.545534i
\(412\) 7.48285e6 + 1.29607e7i 0.106998 + 0.185326i
\(413\) −5.79421e7 3.34529e7i −0.822516 0.474880i
\(414\) 2.23156e6 597945.i 0.0314490 0.00842675i
\(415\) 1.25273e8i 1.75273i
\(416\) 3.46826e7 1.54217e7i 0.481762 0.214216i
\(417\) −5.54330e7 −0.764470
\(418\) 7.27322e6 + 2.71440e7i 0.0995859 + 0.371660i
\(419\) 4.01865e7 6.96051e7i 0.546309 0.946234i −0.452215 0.891909i \(-0.649366\pi\)
0.998523 0.0543253i \(-0.0173008\pi\)
\(420\) −1.27201e7 + 7.34395e6i −0.171689 + 0.0991247i
\(421\) 6.54781e6 6.54781e6i 0.0877506 0.0877506i −0.661869 0.749620i \(-0.730236\pi\)
0.749620 + 0.661869i \(0.230236\pi\)
\(422\) 6.76830e7 + 1.81356e7i 0.900622 + 0.241321i
\(423\) −1.34224e7 + 5.00931e7i −0.177341 + 0.661846i
\(424\) −4.41725e7 4.41725e7i −0.579501 0.579501i
\(425\) 8.09988e7 + 1.40294e8i 1.05514 + 1.82756i
\(426\) −4.11082e7 2.37339e7i −0.531741 0.307001i
\(427\) −3.08035e7 + 8.25378e6i −0.395655 + 0.106016i
\(428\) 8.59373e6i 0.109610i
\(429\) 2.86053e7 + 6.43319e7i 0.362305 + 0.814807i
\(430\) 8.36759e7 1.05243
\(431\) −2.67316e7 9.97636e7i −0.333882 1.24606i −0.905076 0.425249i \(-0.860186\pi\)
0.571195 0.820815i \(-0.306480\pi\)
\(432\) 2.86776e7 4.96710e7i 0.355706 0.616101i
\(433\) −8.93885e7 + 5.16085e7i −1.10108 + 0.635708i −0.936504 0.350657i \(-0.885958\pi\)
−0.164574 + 0.986365i \(0.552625\pi\)
\(434\) −3.08140e6 + 3.08140e6i −0.0376946 + 0.0376946i
\(435\) −1.22016e8 3.26940e7i −1.48234 0.397192i
\(436\) 682620. 2.54757e6i 0.00823606 0.0307374i
\(437\) −2.48239e6 2.48239e6i −0.0297458 0.0297458i
\(438\) 4.29419e7 + 7.43776e7i 0.511045 + 0.885156i
\(439\) 8.16466e7 + 4.71387e7i 0.965038 + 0.557165i 0.897720 0.440567i \(-0.145222\pi\)
0.0673180 + 0.997732i \(0.478556\pi\)
\(440\) −1.63827e8 + 4.38974e7i −1.92322 + 0.515324i
\(441\) 2.15707e7i 0.251506i
\(442\) −9.17156e7 9.68440e6i −1.06213 0.112152i
\(443\) 4.53236e6 0.0521330 0.0260665 0.999660i \(-0.491702\pi\)
0.0260665 + 0.999660i \(0.491702\pi\)
\(444\) 3.76996e6 + 1.40697e7i 0.0430712 + 0.160744i
\(445\) 1.18794e7 2.05758e7i 0.134808 0.233494i
\(446\) −8.29998e7 + 4.79199e7i −0.935562 + 0.540147i
\(447\) 1.76273e7 1.76273e7i 0.197362 0.197362i
\(448\) 5.35310e7 + 1.43436e7i 0.595348 + 0.159523i
\(449\) −2.10984e7 + 7.87402e7i −0.233083 + 0.869876i 0.745921 + 0.666034i \(0.232009\pi\)
−0.979004 + 0.203842i \(0.934657\pi\)
\(450\) 3.38702e7 + 3.38702e7i 0.371689 + 0.371689i
\(451\) −5.29478e7 9.17082e7i −0.577189 0.999721i
\(452\) −2.15930e7 1.24667e7i −0.233829 0.135001i
\(453\) 5.42282e7 1.45304e7i 0.583352 0.156309i
\(454\) 212915.i 0.00227530i
\(455\) 8.04528e7 + 3.09275e7i 0.854097 + 0.328330i
\(456\) −3.30241e7 −0.348286
\(457\) 2.83377e7 + 1.05758e8i 0.296904 + 1.10806i 0.939693 + 0.342018i \(0.111110\pi\)
−0.642790 + 0.766043i \(0.722223\pi\)
\(458\) −2.43900e7 + 4.22447e7i −0.253872 + 0.439720i
\(459\) 1.14022e8 6.58308e7i 1.17910 0.680755i
\(460\) 3.20358e6 3.20358e6i 0.0329125 0.0329125i
\(461\) 3.41485e7 + 9.15005e6i 0.348553 + 0.0933944i 0.428848 0.903377i \(-0.358920\pi\)
−0.0802953 + 0.996771i \(0.525586\pi\)
\(462\) −1.08422e7 + 4.04636e7i −0.109949 + 0.410335i
\(463\) −794093. 794093.i −0.00800070 0.00800070i 0.703095 0.711096i \(-0.251801\pi\)
−0.711096 + 0.703095i \(0.751801\pi\)
\(464\) 3.84018e7 + 6.65139e7i 0.384413 + 0.665823i
\(465\) 1.27206e7 + 7.34425e6i 0.126517 + 0.0730447i
\(466\) 9.60536e7 2.57375e7i 0.949196 0.254336i
\(467\) 1.15353e8i 1.13260i −0.824198 0.566301i \(-0.808374\pi\)
0.824198 0.566301i \(-0.191626\pi\)
\(468\) 1.00627e7 1.58880e6i 0.0981697 0.0155000i
\(469\) −3.13060e7 −0.303465
\(470\) −7.04576e7 2.62951e8i −0.678632 2.53269i
\(471\) −6.30403e7 + 1.09189e8i −0.603331 + 1.04500i
\(472\) 1.68124e8 9.70666e7i 1.59884 0.923090i
\(473\) −6.30427e7 + 6.30427e7i −0.595732 + 0.595732i
\(474\) −6.02109e6 1.61335e6i −0.0565380 0.0151493i
\(475\) 1.88386e7 7.03066e7i 0.175779 0.656018i
\(476\) 1.44958e7 + 1.44958e7i 0.134407 + 0.134407i
\(477\) −1.49739e7 2.59355e7i −0.137968 0.238968i
\(478\) −1.02303e8 5.90647e7i −0.936709 0.540809i
\(479\) −2.96536e7 + 7.94566e6i −0.269818 + 0.0722975i −0.391191 0.920309i \(-0.627937\pi\)
0.121373 + 0.992607i \(0.461270\pi\)
\(480\) 7.61238e7i 0.688330i
\(481\) 5.02756e7 6.91283e7i 0.451775 0.621185i
\(482\) −6.76609e7 −0.604223
\(483\) −1.35448e6 5.05498e6i −0.0120207 0.0448619i
\(484\) 3.90195e6 6.75838e6i 0.0344148 0.0596083i
\(485\) −1.77558e8 + 1.02513e8i −1.55637 + 0.898573i
\(486\) 4.76881e7 4.76881e7i 0.415433 0.415433i
\(487\) 1.44522e8 + 3.87246e7i 1.25126 + 0.335274i 0.822823 0.568297i \(-0.192398\pi\)
0.428437 + 0.903572i \(0.359064\pi\)
\(488\) 2.39491e7 8.93793e7i 0.206077 0.769091i
\(489\) 9.12169e7 + 9.12169e7i 0.780097 + 0.780097i
\(490\) −5.66151e7 9.80602e7i −0.481220 0.833498i
\(491\) −9.26070e7 5.34667e7i −0.782347 0.451688i 0.0549143 0.998491i \(-0.482511\pi\)
−0.837261 + 0.546803i \(0.815845\pi\)
\(492\) 2.57025e7 6.88696e6i 0.215814 0.0578272i
\(493\) 1.76307e8i 1.47139i
\(494\) 2.60620e7 + 3.22156e7i 0.216186 + 0.267230i
\(495\) −8.13092e7 −0.670385
\(496\) −2.31145e6 8.62643e6i −0.0189426 0.0706946i
\(497\) 3.09588e7 5.36222e7i 0.252183 0.436793i
\(498\) 7.77506e7 4.48894e7i 0.629529 0.363459i
\(499\) −7.47204e7 + 7.47204e7i −0.601364 + 0.601364i −0.940674 0.339311i \(-0.889806\pi\)
0.339311 + 0.940674i \(0.389806\pi\)
\(500\) 3.69138e7 + 9.89101e6i 0.295310 + 0.0791281i
\(501\) 7.70414e6 2.87522e7i 0.0612648 0.228643i
\(502\) 9.99932e7 + 9.99932e7i 0.790422 + 0.790422i
\(503\) −9.89692e6 1.71420e7i −0.0777671 0.134697i 0.824519 0.565834i \(-0.191446\pi\)
−0.902286 + 0.431137i \(0.858112\pi\)
\(504\) 2.45503e7 + 1.41741e7i 0.191763 + 0.110715i
\(505\) 2.26204e8 6.06113e7i 1.75641 0.470630i
\(506\) 1.29215e7i 0.0997378i
\(507\) 7.70838e7 + 6.95413e7i 0.591479 + 0.533604i
\(508\) −1.73718e7 −0.132512
\(509\) −7.01657e6 2.61862e7i −0.0532073 0.198572i 0.934206 0.356734i \(-0.116110\pi\)
−0.987413 + 0.158162i \(0.949443\pi\)
\(510\) −9.24810e7 + 1.60182e8i −0.697175 + 1.20754i
\(511\) −9.70193e7 + 5.60141e7i −0.727102 + 0.419793i
\(512\) −1.00096e8 + 1.00096e8i −0.745777 + 0.745777i
\(513\) −5.71408e7 1.53108e7i −0.423248 0.113409i
\(514\) 3.14443e7 1.17352e8i 0.231554 0.864172i
\(515\) −1.24544e8 1.24544e8i −0.911806 0.911806i
\(516\) −1.12014e7 1.94014e7i −0.0815312 0.141216i
\(517\) 2.51195e8 + 1.45028e8i 1.81777 + 1.04949i
\(518\) 4.91261e7 1.31633e7i 0.353446 0.0947055i
\(519\) 5.19331e7i 0.371486i
\(520\) −1.94437e8 + 1.57297e8i −1.38283 + 1.11869i
\(521\) −1.64063e7 −0.116010 −0.0580051 0.998316i \(-0.518474\pi\)
−0.0580051 + 0.998316i \(0.518474\pi\)
\(522\) 1.34924e7 + 5.03542e7i 0.0948586 + 0.354017i
\(523\) −1.34607e8 + 2.33147e8i −0.940943 + 1.62976i −0.177267 + 0.984163i \(0.556725\pi\)
−0.763677 + 0.645599i \(0.776608\pi\)
\(524\) −5.41709e7 + 3.12756e7i −0.376506 + 0.217376i
\(525\) 7.67235e7 7.67235e7i 0.530213 0.530213i
\(526\) −1.97532e8 5.29286e7i −1.35731 0.363691i
\(527\) 5.30603e6 1.98024e7i 0.0362525 0.135296i
\(528\) −6.07057e7 6.07057e7i −0.412409 0.412409i
\(529\) −7.32108e7 1.26805e8i −0.494548 0.856582i
\(530\) 1.36142e8 + 7.86017e7i 0.914460 + 0.527964i
\(531\) 8.98962e7 2.40876e7i 0.600424 0.160883i
\(532\) 9.21086e6i 0.0611737i
\(533\) −1.26284e8 9.18435e7i −0.833999 0.606550i
\(534\) 1.70271e7 0.111819
\(535\) −2.61770e7 9.76939e7i −0.170946 0.637979i
\(536\) 4.54186e7 7.86673e7i 0.294944 0.510858i
\(537\) −2.13083e7 + 1.23023e7i −0.137602 + 0.0794446i
\(538\) −3.46887e6 + 3.46887e6i −0.0222762 + 0.0222762i
\(539\) 1.16535e8 + 3.12254e7i 0.744198 + 0.199407i
\(540\) 1.97590e7 7.37414e7i 0.125482 0.468307i
\(541\) −2.01236e8 2.01236e8i −1.27091 1.27091i −0.945614 0.325292i \(-0.894537\pi\)
−0.325292 0.945614i \(-0.605463\pi\)
\(542\) 1.24099e8 + 2.14945e8i 0.779416 + 1.34999i
\(543\) 6.84899e7 + 3.95426e7i 0.427786 + 0.246982i
\(544\) −1.02627e8 + 2.74988e7i −0.637476 + 0.170811i
\(545\) 3.10402e7i 0.191750i
\(546\) 9.63371e6 + 6.10152e7i 0.0591856 + 0.374852i
\(547\) −1.14810e8 −0.701483 −0.350741 0.936472i \(-0.614070\pi\)
−0.350741 + 0.936472i \(0.614070\pi\)
\(548\) 1.12193e7 + 4.18708e7i 0.0681746 + 0.254431i
\(549\) 2.21800e7 3.84168e7i 0.134043 0.232169i
\(550\) 2.32012e8 1.33952e8i 1.39451 0.805121i
\(551\) 5.60141e7 5.60141e7i 0.334844 0.334844i
\(552\) 1.46675e7 + 3.93014e6i 0.0872044 + 0.0233663i
\(553\) 2.10448e6 7.85401e6i 0.0124442 0.0464425i
\(554\) 8.64314e7 + 8.64314e7i 0.508326 + 0.508326i
\(555\) −8.57141e7 1.48461e8i −0.501387 0.868428i
\(556\) 3.88512e7 + 2.24308e7i 0.226037 + 0.130503i
\(557\) −6.37551e7 + 1.70831e7i −0.368935 + 0.0988558i −0.438523 0.898720i \(-0.644498\pi\)
0.0695881 + 0.997576i \(0.477832\pi\)
\(558\) 6.06174e6i 0.0348895i
\(559\) −4.71724e7 + 1.22711e8i −0.270055 + 0.702505i
\(560\) −1.05102e8 −0.598477
\(561\) −5.10067e7 1.90360e8i −0.288894 1.07817i
\(562\) 3.05015e7 5.28301e7i 0.171835 0.297627i
\(563\) 2.53276e8 1.46229e8i 1.41928 0.819422i 0.423045 0.906109i \(-0.360961\pi\)
0.996236 + 0.0866868i \(0.0276279\pi\)
\(564\) −5.15370e7 + 5.15370e7i −0.287265 + 0.287265i
\(565\) 2.83445e8 + 7.59488e7i 1.57153 + 0.421090i
\(566\) 2.77035e7 1.03391e8i 0.152786 0.570207i
\(567\) −3.60583e7 3.60583e7i −0.197814 0.197814i
\(568\) 8.98298e7 + 1.55590e8i 0.490202 + 0.849056i
\(569\) 1.60156e8 + 9.24658e7i 0.869371 + 0.501932i 0.867139 0.498066i \(-0.165956\pi\)
0.00223182 + 0.999998i \(0.499290\pi\)
\(570\) 8.02731e7 2.15091e7i 0.433456 0.116144i
\(571\) 1.19209e8i 0.640325i 0.947363 + 0.320162i \(0.103737\pi\)
−0.947363 + 0.320162i \(0.896263\pi\)
\(572\) 5.98316e6 5.66632e7i 0.0319700 0.302770i
\(573\) −9.47673e7 −0.503726
\(574\) −2.40467e7 8.97436e7i −0.127151 0.474534i
\(575\) −1.67341e7 + 2.89844e7i −0.0880238 + 0.152462i
\(576\) −6.67614e7 + 3.85447e7i −0.349348 + 0.201696i
\(577\) 5.14137e7 5.14137e7i 0.267640 0.267640i −0.560508 0.828149i \(-0.689394\pi\)
0.828149 + 0.560508i \(0.189394\pi\)
\(578\) 9.02101e7 + 2.41717e7i 0.467167 + 0.125177i
\(579\) 2.81655e7 1.05115e8i 0.145105 0.541538i
\(580\) 7.22873e7 + 7.22873e7i 0.370491 + 0.370491i
\(581\) 5.85544e7 + 1.01419e8i 0.298560 + 0.517120i
\(582\) −1.27249e8 7.34672e7i −0.645484 0.372670i
\(583\) −1.61791e8 + 4.33518e7i −0.816486 + 0.218777i
\(584\) 3.25060e8i 1.63202i
\(585\) −1.09554e8 + 4.87132e7i −0.547217 + 0.243321i
\(586\) −7.88305e6 −0.0391743
\(587\) 9.28557e6 + 3.46542e7i 0.0459086 + 0.171333i 0.985074 0.172132i \(-0.0550657\pi\)
−0.939165 + 0.343466i \(0.888399\pi\)
\(588\) −1.51578e7 + 2.62540e7i −0.0745595 + 0.129141i
\(589\) −7.97716e6 + 4.60562e6i −0.0390393 + 0.0225394i
\(590\) −3.45446e8 + 3.45446e8i −1.68199 + 1.68199i
\(591\) −2.91085e7 7.79959e6i −0.141012 0.0377841i
\(592\) −2.69767e7 + 1.00678e8i −0.130024 + 0.485256i
\(593\) −2.24519e8 2.24519e8i −1.07669 1.07669i −0.996804 0.0798839i \(-0.974545\pi\)
−0.0798839 0.996804i \(-0.525455\pi\)
\(594\) −1.08868e8 1.88564e8i −0.519445 0.899706i
\(595\) −2.08943e8 1.20634e8i −0.991923 0.572687i
\(596\) −1.94872e7 + 5.22159e6i −0.0920474 + 0.0246640i
\(597\) 3.65974e6i 0.0171999i
\(598\) −7.74138e6 1.74100e7i −0.0362005 0.0814133i
\(599\) 3.80612e8 1.77093 0.885467 0.464702i \(-0.153839\pi\)
0.885467 + 0.464702i \(0.153839\pi\)
\(600\) 8.14846e7 + 3.04105e8i 0.377244 + 1.40789i
\(601\) −2.22503e7 + 3.85386e7i −0.102497 + 0.177531i −0.912713 0.408601i \(-0.866017\pi\)
0.810216 + 0.586132i \(0.199350\pi\)
\(602\) −6.77427e7 + 3.91112e7i −0.310508 + 0.179272i
\(603\) 3.07926e7 3.07926e7i 0.140441 0.140441i
\(604\) −4.38865e7 1.17593e7i −0.199168 0.0533669i
\(605\) −2.37712e7 + 8.87151e7i −0.107346 + 0.400619i
\(606\) 1.18674e8 + 1.18674e8i 0.533261 + 0.533261i
\(607\) −4.40161e7 7.62381e7i −0.196809 0.340883i 0.750683 0.660663i \(-0.229725\pi\)
−0.947492 + 0.319779i \(0.896391\pi\)
\(608\) 4.13420e7 + 2.38688e7i 0.183942 + 0.106199i
\(609\) 1.14063e8 3.05632e7i 0.505004 0.135315i
\(610\) 2.32857e8i 1.02589i
\(611\) 4.25341e8 + 4.49125e7i 1.86472 + 0.196899i
\(612\) −2.85161e7 −0.124404
\(613\) −2.64367e7 9.86631e7i −0.114769 0.428325i 0.884500 0.466540i \(-0.154500\pi\)
−0.999270 + 0.0382148i \(0.987833\pi\)
\(614\) −2.63839e7 + 4.56983e7i −0.113981 + 0.197422i
\(615\) −2.71209e8 + 1.56583e8i −1.16595 + 0.673159i
\(616\) 1.12114e8 1.12114e8i 0.479641 0.479641i
\(617\) −9.03845e7 2.42184e7i −0.384803 0.103108i 0.0612312 0.998124i \(-0.480497\pi\)
−0.446034 + 0.895016i \(0.647164\pi\)
\(618\) 3.26701e7 1.21926e8i 0.138416 0.516574i
\(619\) 6.96140e7 + 6.96140e7i 0.293511 + 0.293511i 0.838466 0.544955i \(-0.183453\pi\)
−0.544955 + 0.838466i \(0.683453\pi\)
\(620\) −5.94364e6 1.02947e7i −0.0249389 0.0431955i
\(621\) 2.35567e7 + 1.36005e7i 0.0983648 + 0.0567909i
\(622\) −1.23286e8 + 3.30344e7i −0.512322 + 0.137276i
\(623\) 2.22104e7i 0.0918527i
\(624\) −1.18163e8 4.54238e7i −0.486325 0.186952i
\(625\) −3.81706e7 −0.156347
\(626\) −7.59948e7 2.83616e8i −0.309785 1.15613i
\(627\) −4.42736e7 + 7.66842e7i −0.179615 + 0.311102i
\(628\) 8.83658e7 5.10180e7i 0.356784 0.205989i
\(629\) −1.69186e8 + 1.69186e8i −0.679848 + 0.679848i
\(630\) −6.89074e7 1.84637e7i −0.275578 0.0738408i
\(631\) −8.68249e7 + 3.24035e8i −0.345586 + 1.28974i 0.546340 + 0.837563i \(0.316021\pi\)
−0.891926 + 0.452181i \(0.850646\pi\)
\(632\) 1.66828e7 + 1.66828e7i 0.0660872 + 0.0660872i
\(633\) 1.10395e8 + 1.91210e8i 0.435251 + 0.753876i
\(634\) −2.06893e8 1.19450e8i −0.811854 0.468724i
\(635\) 1.97483e8 5.29155e7i 0.771276 0.206663i
\(636\) 4.20886e7i 0.163604i
\(637\) 1.75723e8 2.77449e7i 0.679845 0.107341i
\(638\) 2.91567e8 1.12273
\(639\) 2.22918e7 + 8.31940e7i 0.0854362 + 0.318852i
\(640\) 8.90746e7 1.54282e8i 0.339793 0.588538i
\(641\) −3.85925e8 + 2.22814e8i −1.46531 + 0.845996i −0.999249 0.0387576i \(-0.987660\pi\)
−0.466059 + 0.884754i \(0.654327\pi\)
\(642\) 5.12535e7 5.12535e7i 0.193695 0.193695i
\(643\) −1.07824e8 2.88913e7i −0.405585 0.108676i 0.0502584 0.998736i \(-0.483996\pi\)
−0.455843 + 0.890060i \(0.650662\pi\)
\(644\) −1.09617e6 + 4.09096e6i −0.00410412 + 0.0153168i
\(645\) 1.86436e8 + 1.86436e8i 0.694786 + 0.694786i
\(646\) −5.79953e7 1.00451e8i −0.215127 0.372611i
\(647\) −1.20379e8 6.95006e7i −0.444464 0.256611i 0.261025 0.965332i \(-0.415939\pi\)
−0.705489 + 0.708721i \(0.749273\pi\)
\(648\) 1.42923e8 3.82960e7i 0.525262 0.140743i
\(649\) 5.20528e8i 1.90419i
\(650\) 2.32354e8 3.19484e8i 0.846077 1.16334i
\(651\) −1.37312e7 −0.0497697
\(652\) −2.70204e7 1.00842e8i −0.0974875 0.363828i
\(653\) 1.10440e8 1.91288e8i 0.396633 0.686988i −0.596676 0.802483i \(-0.703512\pi\)
0.993308 + 0.115495i \(0.0368454\pi\)
\(654\) −1.92651e7 + 1.11227e7i −0.0688711 + 0.0397628i
\(655\) 5.20550e8 5.20550e8i 1.85242 1.85242i
\(656\) 1.83919e8 + 4.92810e7i 0.651502 + 0.174569i
\(657\) 4.03327e7 1.50524e8i 0.142220 0.530773i
\(658\) 1.79948e8 + 1.79948e8i 0.631641 + 0.631641i
\(659\) 2.76369e8 + 4.78686e8i 0.965681 + 1.67261i 0.707773 + 0.706440i \(0.249700\pi\)
0.257908 + 0.966169i \(0.416967\pi\)
\(660\) −9.89625e7 5.71360e7i −0.344222 0.198737i
\(661\) −1.75380e8 + 4.69930e7i −0.607263 + 0.162716i −0.549331 0.835605i \(-0.685117\pi\)
−0.0579319 + 0.998321i \(0.518451\pi\)
\(662\) 2.65674e7i 0.0915747i
\(663\) −1.82772e8 2.25927e8i −0.627145 0.775223i
\(664\) −3.39802e8 −1.16070
\(665\) 2.80568e7 + 1.04709e8i 0.0954055 + 0.356058i
\(666\) −3.53730e7 + 6.12679e7i −0.119743 + 0.207401i
\(667\) −3.15445e7 + 1.82122e7i −0.106303 + 0.0613742i
\(668\) −1.70341e7 + 1.70341e7i −0.0571464 + 0.0571464i
\(669\) −2.91699e8 7.81605e7i −0.974219 0.261041i
\(670\) −5.91637e7 + 2.20802e8i −0.196712 + 0.734139i
\(671\) −1.75437e8 1.75437e8i −0.580704 0.580704i
\(672\) 3.55813e7 + 6.16286e7i 0.117250 + 0.203083i
\(673\) −2.07081e8 1.19558e8i −0.679353 0.392225i 0.120258 0.992743i \(-0.461628\pi\)
−0.799611 + 0.600518i \(0.794961\pi\)
\(674\) −3.14654e8 + 8.43112e7i −1.02767 + 0.275363i
\(675\) 5.63964e8i 1.83375i
\(676\) −2.58860e7 7.99309e7i −0.0837961 0.258747i
\(677\) 9.52489e7 0.306969 0.153484 0.988151i \(-0.450951\pi\)
0.153484 + 0.988151i \(0.450951\pi\)
\(678\) 5.44297e7 + 2.03134e8i 0.174641 + 0.651770i
\(679\) 9.58318e7 1.65985e8i 0.306126 0.530226i
\(680\) 6.06269e8 3.50029e8i 1.92814 1.11321i
\(681\) 474390. 474390.i 0.00150208 0.00150208i
\(682\) −3.27482e7 8.77486e6i −0.103237 0.0276622i
\(683\) −6.77910e7 + 2.52999e8i −0.212770 + 0.794067i 0.774170 + 0.632978i \(0.218168\pi\)
−0.986940 + 0.161090i \(0.948499\pi\)
\(684\) 9.05980e6 + 9.05980e6i 0.0283107 + 0.0283107i
\(685\) −2.55082e8 4.41815e8i −0.793612 1.37458i
\(686\) 2.24858e8 + 1.29822e8i 0.696523 + 0.402138i
\(687\) −1.48467e8 + 3.97816e7i −0.457889 + 0.122691i
\(688\) 1.60308e8i 0.492255i
\(689\) −1.92020e8 + 1.55342e8i −0.587069 + 0.474931i
\(690\) −3.82126e7 −0.116321
\(691\) 1.59923e8 + 5.96841e8i 0.484704 + 1.80894i 0.581389 + 0.813625i \(0.302509\pi\)
−0.0966852 + 0.995315i \(0.530824\pi\)
\(692\) 2.10145e7 3.63982e7i 0.0634163 0.109840i
\(693\) 6.58266e7 3.80050e7i 0.197789 0.114193i
\(694\) 7.01299e7 7.01299e7i 0.209809 0.209809i
\(695\) −5.09988e8 1.36651e8i −1.51917 0.407059i
\(696\) −8.86820e7 + 3.30966e8i −0.263031 + 0.981646i
\(697\) 3.09069e8 + 3.09069e8i 0.912760 + 0.912760i
\(698\) −2.42668e7 4.20313e7i −0.0713586 0.123597i
\(699\) 2.71360e8 + 1.56670e8i 0.794536 + 0.458726i
\(700\) −8.48188e7 + 2.27271e7i −0.247285 + 0.0662599i
\(701\) 3.52124e8i 1.02221i 0.859517 + 0.511107i \(0.170764\pi\)
−0.859517 + 0.511107i \(0.829236\pi\)
\(702\) −2.59656e8 1.88843e8i −0.750563 0.545869i
\(703\) 1.07503e8 0.309426
\(704\) 1.11593e8 + 4.16472e8i 0.319831 + 1.19362i
\(705\) 4.28891e8 7.42860e8i 1.22399 2.12002i
\(706\) −9.71352e7 + 5.60810e7i −0.276034 + 0.159368i
\(707\) −1.54801e8 + 1.54801e8i −0.438041 + 0.438041i
\(708\) 1.26340e8 + 3.38528e7i 0.355993 + 0.0953881i
\(709\) −1.12528e8 + 4.19961e8i −0.315735 + 1.17834i 0.607569 + 0.794267i \(0.292145\pi\)
−0.923303 + 0.384071i \(0.874522\pi\)
\(710\) −3.19691e8 3.19691e8i −0.893214 0.893214i
\(711\) 5.65524e6 + 9.79517e6i 0.0157341 + 0.0272523i
\(712\) −5.58114e7 3.22227e7i −0.154626 0.0892735i
\(713\) 4.09112e6 1.09621e6i 0.0112869 0.00302431i
\(714\) 1.72907e8i 0.475027i
\(715\) 1.04583e8 + 6.62375e8i 0.286115 + 1.81211i
\(716\) 1.99124e7 0.0542480
\(717\) −9.63382e7 3.59539e8i −0.261361 0.975413i
\(718\) −1.17915e8 + 2.04234e8i −0.318562 + 0.551766i
\(719\) −2.99046e8 + 1.72654e8i −0.804546 + 0.464505i −0.845058 0.534674i \(-0.820434\pi\)
0.0405122 + 0.999179i \(0.487101\pi\)
\(720\) 1.03379e8 1.03379e8i 0.276970 0.276970i
\(721\) 1.59043e8 + 4.26154e7i 0.424334 + 0.113700i
\(722\) 6.96267e7 2.59850e8i 0.184997 0.690417i
\(723\) −1.50754e8 1.50754e8i −0.398890 0.398890i
\(724\) −3.20015e7 5.54283e7i −0.0843248 0.146055i
\(725\) −6.54020e8 3.77599e8i −1.71624 0.990870i
\(726\) −6.35789e7 + 1.70359e7i −0.166151 + 0.0445200i
\(727\) 3.47043e8i 0.903193i −0.892222 0.451596i \(-0.850855\pi\)
0.892222 0.451596i \(-0.149145\pi\)
\(728\) 8.38903e7 2.18227e8i 0.217429 0.565607i
\(729\) 4.06622e8 1.04956
\(730\) 2.11717e8 + 7.90138e8i 0.544235 + 2.03111i
\(731\) 1.83997e8 3.18693e8i 0.471042 0.815869i
\(732\) 5.39910e7 3.11717e7i 0.137654 0.0794745i
\(733\) 2.91764e8 2.91764e8i 0.740831 0.740831i −0.231907 0.972738i \(-0.574497\pi\)
0.972738 + 0.231907i \(0.0744965\pi\)
\(734\) −1.39186e8 3.72949e7i −0.351972 0.0943107i
\(735\) 9.23428e7 3.44628e8i 0.232563 0.867938i
\(736\) −1.55213e7 1.55213e7i −0.0389308 0.0389308i
\(737\) −1.21781e8 2.10930e8i −0.304211 0.526910i
\(738\) 1.11924e8 + 6.46195e7i 0.278455 + 0.160766i
\(739\) 1.70943e8 4.58042e7i 0.423564 0.113494i −0.0407394 0.999170i \(-0.512971\pi\)
0.464304 + 0.885676i \(0.346305\pi\)
\(740\) 1.38735e8i 0.342367i
\(741\) −1.37107e7 + 1.29847e8i −0.0336982 + 0.319137i
\(742\) −1.46958e8 −0.359734
\(743\) −8.43295e7 3.14722e8i −0.205595 0.767292i −0.989267 0.146117i \(-0.953322\pi\)
0.783672 0.621175i \(-0.213344\pi\)
\(744\) 1.99212e7 3.45045e7i 0.0483722 0.0837831i
\(745\) 2.05627e8 1.18719e8i 0.497291 0.287111i
\(746\) 2.84737e8 2.84737e8i 0.685848 0.685848i
\(747\) −1.57350e8 4.21618e7i −0.377490 0.101148i
\(748\) −4.12794e7 + 1.54057e8i −0.0986343 + 0.368108i
\(749\) 6.68559e7 + 6.68559e7i 0.159109 + 0.159109i
\(750\) −1.61165e8 2.79147e8i −0.382022 0.661681i
\(751\) 2.88833e8 + 1.66758e8i 0.681909 + 0.393701i 0.800574 0.599234i \(-0.204528\pi\)
−0.118665 + 0.992934i \(0.537861\pi\)
\(752\) −5.03768e8 + 1.34984e8i −1.18461 + 0.317416i
\(753\) 4.45584e8i 1.04363i
\(754\) 3.92849e8 1.74681e8i 0.916457 0.407504i
\(755\) 5.34723e8 1.24248
\(756\) 1.84712e7 + 6.89354e7i 0.0427494 + 0.159543i
\(757\) −2.35132e8 + 4.07261e8i −0.542032 + 0.938826i 0.456756 + 0.889592i \(0.349011\pi\)
−0.998787 + 0.0492342i \(0.984322\pi\)
\(758\) −3.21919e8 + 1.85860e8i −0.739160 + 0.426754i
\(759\) 2.87900e7 2.87900e7i 0.0658439 0.0658439i
\(760\) −3.03824e8 8.14094e7i −0.692120 0.185453i
\(761\) 5.52030e7 2.06020e8i 0.125259 0.467473i −0.874590 0.484864i \(-0.838869\pi\)
0.999849 + 0.0173907i \(0.00553591\pi\)
\(762\) 1.03607e8 + 1.03607e8i 0.234165 + 0.234165i
\(763\) −1.45086e7 2.51296e7i −0.0326627 0.0565735i