Properties

Label 18.7.d.a.5.4
Level $18$
Weight $7$
Character 18.5
Analytic conductor $4.141$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 18 = 2 \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 18.d (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.14097350516\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(6\) over \(\Q(\zeta_{6})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} + \cdots)\)
Defining polynomial: \( x^{12} + 370x^{10} + 51793x^{8} + 3491832x^{6} + 117603792x^{4} + 1832032512x^{2} + 10453017600 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 2^{10}\cdot 3^{10} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 5.4
Root \(-8.15670i\) of defining polynomial
Character \(\chi\) \(=\) 18.5
Dual form 18.7.d.a.11.4

$q$-expansion

\(f(q)\) \(=\) \(q+(4.89898 - 2.82843i) q^{2} +(-23.6571 - 13.0130i) q^{3} +(16.0000 - 27.7128i) q^{4} +(-95.8504 - 55.3393i) q^{5} +(-152.702 + 3.16189i) q^{6} +(-163.169 - 282.617i) q^{7} -181.019i q^{8} +(390.321 + 615.703i) q^{9} +O(q^{10})\) \(q+(4.89898 - 2.82843i) q^{2} +(-23.6571 - 13.0130i) q^{3} +(16.0000 - 27.7128i) q^{4} +(-95.8504 - 55.3393i) q^{5} +(-152.702 + 3.16189i) q^{6} +(-163.169 - 282.617i) q^{7} -181.019i q^{8} +(390.321 + 615.703i) q^{9} -626.092 q^{10} +(541.817 - 312.818i) q^{11} +(-739.142 + 447.397i) q^{12} +(1014.01 - 1756.31i) q^{13} +(-1598.72 - 923.023i) q^{14} +(1547.42 + 2556.48i) q^{15} +(-512.000 - 886.810i) q^{16} +4126.55i q^{17} +(3653.65 + 1912.32i) q^{18} +12194.5 q^{19} +(-3067.21 + 1770.86i) q^{20} +(182.406 + 8809.24i) q^{21} +(1769.57 - 3064.98i) q^{22} +(-18576.6 - 10725.2i) q^{23} +(-2355.61 + 4282.40i) q^{24} +(-1687.63 - 2923.06i) q^{25} -11472.2i q^{26} +(-1221.72 - 19645.0i) q^{27} -10442.8 q^{28} +(-21435.3 + 12375.7i) q^{29} +(14811.6 + 8147.37i) q^{30} +(20265.9 - 35101.6i) q^{31} +(-5016.55 - 2896.31i) q^{32} +(-16888.6 + 349.699i) q^{33} +(11671.6 + 20215.9i) q^{34} +36118.6i q^{35} +(23308.0 - 965.656i) q^{36} -30093.7 q^{37} +(59740.6 - 34491.3i) q^{38} +(-46843.4 + 28354.0i) q^{39} +(-10017.5 + 17350.8i) q^{40} +(51294.6 + 29614.9i) q^{41} +(25809.9 + 42640.4i) q^{42} +(43967.8 + 76154.5i) q^{43} -20020.4i q^{44} +(-3339.92 - 80615.5i) q^{45} -121342. q^{46} +(112384. - 64885.1i) q^{47} +(572.363 + 27642.1i) q^{48} +(5576.24 - 9658.34i) q^{49} +(-16535.3 - 9546.68i) q^{50} +(53698.9 - 97622.3i) q^{51} +(-32448.2 - 56201.9i) q^{52} +165599. i q^{53} +(-61549.8 - 92785.1i) q^{54} -69244.6 q^{55} +(-51159.1 + 29536.7i) q^{56} +(-288487. - 158688. i) q^{57} +(-70007.5 + 121257. i) q^{58} +(46116.0 + 26625.1i) q^{59} +(95605.8 - 1979.64i) q^{60} +(133491. + 231213. i) q^{61} -229282. i q^{62} +(110320. - 210775. i) q^{63} -32768.0 q^{64} +(-194386. + 112229. i) q^{65} +(-81747.7 + 49481.3i) q^{66} +(203640. - 352715. i) q^{67} +(114358. + 66024.7i) q^{68} +(299902. + 495467. i) q^{69} +(102159. + 176944. i) q^{70} -186563. i q^{71} +(111454. - 70655.7i) q^{72} -242102. q^{73} +(-147429. + 85117.9i) q^{74} +(1886.60 + 91112.5i) q^{75} +(195112. - 337944. i) q^{76} +(-176816. - 102085. i) q^{77} +(-149288. + 271399. i) q^{78} +(63186.3 + 109442. i) q^{79} +113335. i q^{80} +(-226739. + 480644. i) q^{81} +335055. q^{82} +(-59731.2 + 34485.8i) q^{83} +(247047. + 135893. i) q^{84} +(228360. - 395531. i) q^{85} +(430795. + 248720. i) q^{86} +(668144. - 13834.7i) q^{87} +(-56626.2 - 98079.4i) q^{88} -413126. i q^{89} +(-244377. - 385487. i) q^{90} -661817. q^{91} +(-594452. + 343207. i) q^{92} +(-936211. + 566682. i) q^{93} +(367045. - 635741. i) q^{94} +(-1.16885e6 - 674835. i) q^{95} +(80987.6 + 133799. i) q^{96} +(-489221. - 847356. i) q^{97} -63088.0i q^{98} +(404086. + 211499. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12 q - 42 q^{3} + 192 q^{4} + 432 q^{5} - 144 q^{6} + 240 q^{7} + 2190 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 12 q - 42 q^{3} + 192 q^{4} + 432 q^{5} - 144 q^{6} + 240 q^{7} + 2190 q^{9} + 378 q^{11} + 384 q^{12} + 1680 q^{13} - 4752 q^{14} - 10872 q^{15} - 6144 q^{16} - 2976 q^{18} - 2820 q^{19} + 13824 q^{20} + 24876 q^{21} - 3600 q^{22} - 76248 q^{23} - 6144 q^{24} + 8094 q^{25} + 127008 q^{27} + 15360 q^{28} + 97092 q^{29} + 34272 q^{30} + 21480 q^{31} - 246258 q^{33} - 27360 q^{34} + 38208 q^{36} - 25536 q^{37} + 97632 q^{38} + 42204 q^{39} - 410562 q^{41} - 222144 q^{42} + 71430 q^{43} + 13716 q^{45} - 135072 q^{46} + 347652 q^{47} + 55296 q^{48} - 135954 q^{49} + 311040 q^{50} + 336402 q^{51} - 53760 q^{52} - 173520 q^{54} + 580392 q^{55} - 152064 q^{56} - 522282 q^{57} + 159264 q^{58} + 369738 q^{59} - 170496 q^{60} + 135744 q^{61} - 103800 q^{63} - 393216 q^{64} - 753840 q^{65} + 909216 q^{66} - 289938 q^{67} + 744768 q^{68} + 2059272 q^{69} + 155952 q^{70} - 374784 q^{72} - 977700 q^{73} - 2197152 q^{74} - 2115342 q^{75} - 45120 q^{76} - 159192 q^{77} - 631488 q^{78} - 764796 q^{79} - 1428282 q^{81} + 1073088 q^{82} + 396900 q^{83} + 1441536 q^{84} + 1619568 q^{85} + 3264624 q^{86} + 3072636 q^{87} + 115200 q^{88} - 1987200 q^{90} + 355584 q^{91} - 2439936 q^{92} - 2526576 q^{93} - 736848 q^{94} - 2089260 q^{95} - 49152 q^{96} - 38874 q^{97} + 4398804 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/18\mathbb{Z}\right)^\times\).

\(n\) \(11\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 4.89898 2.82843i 0.612372 0.353553i
\(3\) −23.6571 13.0130i −0.876191 0.481965i
\(4\) 16.0000 27.7128i 0.250000 0.433013i
\(5\) −95.8504 55.3393i −0.766803 0.442714i 0.0649297 0.997890i \(-0.479318\pi\)
−0.831733 + 0.555176i \(0.812651\pi\)
\(6\) −152.702 + 3.16189i −0.706955 + 0.0146384i
\(7\) −163.169 282.617i −0.475711 0.823956i 0.523901 0.851779i \(-0.324476\pi\)
−0.999613 + 0.0278225i \(0.991143\pi\)
\(8\) 181.019i 0.353553i
\(9\) 390.321 + 615.703i 0.535420 + 0.844586i
\(10\) −626.092 −0.626092
\(11\) 541.817 312.818i 0.407075 0.235025i −0.282457 0.959280i \(-0.591149\pi\)
0.689532 + 0.724255i \(0.257816\pi\)
\(12\) −739.142 + 447.397i −0.427744 + 0.258911i
\(13\) 1014.01 1756.31i 0.461541 0.799412i −0.537497 0.843266i \(-0.680630\pi\)
0.999038 + 0.0438534i \(0.0139635\pi\)
\(14\) −1598.72 923.023i −0.582625 0.336379i
\(15\) 1547.42 + 2556.48i 0.458493 + 0.757474i
\(16\) −512.000 886.810i −0.125000 0.216506i
\(17\) 4126.55i 0.839924i 0.907542 + 0.419962i \(0.137957\pi\)
−0.907542 + 0.419962i \(0.862043\pi\)
\(18\) 3653.65 + 1912.32i 0.626483 + 0.327901i
\(19\) 12194.5 1.77788 0.888942 0.458020i \(-0.151441\pi\)
0.888942 + 0.458020i \(0.151441\pi\)
\(20\) −3067.21 + 1770.86i −0.383402 + 0.221357i
\(21\) 182.406 + 8809.24i 0.0196962 + 0.951219i
\(22\) 1769.57 3064.98i 0.166188 0.287846i
\(23\) −18576.6 10725.2i −1.52680 0.881501i −0.999493 0.0318293i \(-0.989867\pi\)
−0.527312 0.849672i \(-0.676800\pi\)
\(24\) −2355.61 + 4282.40i −0.170400 + 0.309780i
\(25\) −1687.63 2923.06i −0.108008 0.187076i
\(26\) 11472.2i 0.652717i
\(27\) −1221.72 19645.0i −0.0620699 0.998072i
\(28\) −10442.8 −0.475711
\(29\) −21435.3 + 12375.7i −0.878893 + 0.507429i −0.870293 0.492534i \(-0.836071\pi\)
−0.00859997 + 0.999963i \(0.502737\pi\)
\(30\) 14811.6 + 8147.37i 0.548576 + 0.301754i
\(31\) 20265.9 35101.6i 0.680269 1.17826i −0.294630 0.955612i \(-0.595196\pi\)
0.974899 0.222649i \(-0.0714704\pi\)
\(32\) −5016.55 2896.31i −0.153093 0.0883883i
\(33\) −16888.6 + 349.699i −0.469950 + 0.00973088i
\(34\) 11671.6 + 20215.9i 0.296958 + 0.514346i
\(35\) 36118.6i 0.842417i
\(36\) 23308.0 965.656i 0.499571 0.0206974i
\(37\) −30093.7 −0.594115 −0.297058 0.954860i \(-0.596005\pi\)
−0.297058 + 0.954860i \(0.596005\pi\)
\(38\) 59740.6 34491.3i 1.08873 0.628577i
\(39\) −46843.4 + 28354.0i −0.789686 + 0.477991i
\(40\) −10017.5 + 17350.8i −0.156523 + 0.271106i
\(41\) 51294.6 + 29614.9i 0.744252 + 0.429694i 0.823613 0.567152i \(-0.191955\pi\)
−0.0793613 + 0.996846i \(0.525288\pi\)
\(42\) 25809.9 + 42640.4i 0.348368 + 0.575537i
\(43\) 43967.8 + 76154.5i 0.553006 + 0.957834i 0.998056 + 0.0623286i \(0.0198527\pi\)
−0.445050 + 0.895506i \(0.646814\pi\)
\(44\) 20020.4i 0.235025i
\(45\) −3339.92 80615.5i −0.0366521 0.884669i
\(46\) −121342. −1.24663
\(47\) 112384. 64885.1i 1.08246 0.624958i 0.150901 0.988549i \(-0.451783\pi\)
0.931559 + 0.363590i \(0.118449\pi\)
\(48\) 572.363 + 27642.1i 0.00517545 + 0.249946i
\(49\) 5576.24 9658.34i 0.0473973 0.0820945i
\(50\) −16535.3 9546.68i −0.132283 0.0763734i
\(51\) 53698.9 97622.3i 0.404814 0.735934i
\(52\) −32448.2 56201.9i −0.230770 0.399706i
\(53\) 165599.i 1.11232i 0.831074 + 0.556161i \(0.187726\pi\)
−0.831074 + 0.556161i \(0.812274\pi\)
\(54\) −61549.8 92785.1i −0.390882 0.589247i
\(55\) −69244.6 −0.416196
\(56\) −51159.1 + 29536.7i −0.291313 + 0.168189i
\(57\) −288487. 158688.i −1.55777 0.856877i
\(58\) −70007.5 + 121257.i −0.358807 + 0.621471i
\(59\) 46116.0 + 26625.1i 0.224541 + 0.129639i 0.608051 0.793898i \(-0.291952\pi\)
−0.383510 + 0.923537i \(0.625285\pi\)
\(60\) 95605.8 1979.64i 0.442619 0.00916498i
\(61\) 133491. + 231213.i 0.588115 + 1.01864i 0.994479 + 0.104933i \(0.0334629\pi\)
−0.406365 + 0.913711i \(0.633204\pi\)
\(62\) 229282.i 0.962046i
\(63\) 110320. 210775.i 0.441196 0.842942i
\(64\) −32768.0 −0.125000
\(65\) −194386. + 112229.i −0.707822 + 0.408661i
\(66\) −81747.7 + 49481.3i −0.284344 + 0.172111i
\(67\) 203640. 352715.i 0.677079 1.17273i −0.298778 0.954323i \(-0.596579\pi\)
0.975857 0.218412i \(-0.0700876\pi\)
\(68\) 114358. + 66024.7i 0.363698 + 0.209981i
\(69\) 299902. + 495467.i 0.912920 + 1.50823i
\(70\) 102159. + 176944.i 0.297839 + 0.515873i
\(71\) 186563.i 0.521254i −0.965440 0.260627i \(-0.916071\pi\)
0.965440 0.260627i \(-0.0839293\pi\)
\(72\) 111454. 70655.7i 0.298606 0.189300i
\(73\) −242102. −0.622344 −0.311172 0.950354i \(-0.600721\pi\)
−0.311172 + 0.950354i \(0.600721\pi\)
\(74\) −147429. + 85117.9i −0.363820 + 0.210051i
\(75\) 1886.60 + 91112.5i 0.00447193 + 0.215970i
\(76\) 195112. 337944.i 0.444471 0.769846i
\(77\) −176816. 102085.i −0.387301 0.223608i
\(78\) −149288. + 271399.i −0.314587 + 0.571905i
\(79\) 63186.3 + 109442.i 0.128157 + 0.221974i 0.922963 0.384890i \(-0.125761\pi\)
−0.794806 + 0.606864i \(0.792427\pi\)
\(80\) 113335.i 0.221357i
\(81\) −226739. + 480644.i −0.426650 + 0.904417i
\(82\) 335055. 0.607679
\(83\) −59731.2 + 34485.8i −0.104464 + 0.0603124i −0.551322 0.834293i \(-0.685876\pi\)
0.446858 + 0.894605i \(0.352543\pi\)
\(84\) 247047. + 135893.i 0.416814 + 0.229276i
\(85\) 228360. 395531.i 0.371846 0.644057i
\(86\) 430795. + 248720.i 0.677291 + 0.391034i
\(87\) 668144. 13834.7i 1.01464 0.0210094i
\(88\) −56626.2 98079.4i −0.0830939 0.143923i
\(89\) 413126.i 0.586020i −0.956109 0.293010i \(-0.905343\pi\)
0.956109 0.293010i \(-0.0946569\pi\)
\(90\) −244377. 385487.i −0.335223 0.528789i
\(91\) −661817. −0.878241
\(92\) −594452. + 343207.i −0.763402 + 0.440751i
\(93\) −936211. + 566682.i −1.16393 + 0.704515i
\(94\) 367045. 635741.i 0.441912 0.765415i
\(95\) −1.16885e6 674835.i −1.36329 0.787094i
\(96\) 80987.6 + 133799.i 0.0915387 + 0.151231i
\(97\) −489221. 847356.i −0.536031 0.928434i −0.999113 0.0421177i \(-0.986590\pi\)
0.463081 0.886316i \(-0.346744\pi\)
\(98\) 63088.0i 0.0670299i
\(99\) 404086. + 211499.i 0.416455 + 0.217973i
\(100\) −108008. −0.108008
\(101\) 975354. 563121.i 0.946669 0.546560i 0.0546243 0.998507i \(-0.482604\pi\)
0.892045 + 0.451947i \(0.149271\pi\)
\(102\) −13047.7 630133.i −0.0122951 0.593789i
\(103\) −528792. + 915894.i −0.483919 + 0.838173i −0.999829 0.0184698i \(-0.994121\pi\)
0.515910 + 0.856643i \(0.327454\pi\)
\(104\) −317926. 183555.i −0.282635 0.163179i
\(105\) 470013. 854464.i 0.406015 0.738118i
\(106\) 468385. + 811267.i 0.393265 + 0.681156i
\(107\) 607244.i 0.495692i 0.968799 + 0.247846i \(0.0797227\pi\)
−0.968799 + 0.247846i \(0.920277\pi\)
\(108\) −563967. 280463.i −0.447695 0.222641i
\(109\) 961305. 0.742303 0.371152 0.928572i \(-0.378963\pi\)
0.371152 + 0.928572i \(0.378963\pi\)
\(110\) −339228. + 195853.i −0.254867 + 0.147147i
\(111\) 711932. + 391611.i 0.520558 + 0.286343i
\(112\) −167085. + 289400.i −0.118928 + 0.205989i
\(113\) 1.15941e6 + 669388.i 0.803532 + 0.463919i 0.844705 0.535233i \(-0.179776\pi\)
−0.0411727 + 0.999152i \(0.513109\pi\)
\(114\) −1.86213e6 + 38557.7i −1.25688 + 0.0260253i
\(115\) 1.18705e6 + 2.05603e6i 0.780506 + 1.35188i
\(116\) 792044.i 0.507429i
\(117\) 1.47715e6 61198.8i 0.922290 0.0382107i
\(118\) 301228. 0.183337
\(119\) 1.16623e6 673325.i 0.692061 0.399561i
\(120\) 462771. 280112.i 0.267808 0.162102i
\(121\) −690070. + 1.19524e6i −0.389526 + 0.674679i
\(122\) 1.30794e6 + 755138.i 0.720290 + 0.415860i
\(123\) −828103. 1.36810e6i −0.445009 0.735197i
\(124\) −648509. 1.12325e6i −0.340135 0.589130i
\(125\) 2.10292e6i 1.07670i
\(126\) −55707.7 1.34461e6i −0.0278486 0.672181i
\(127\) −1.62823e6 −0.794885 −0.397443 0.917627i \(-0.630102\pi\)
−0.397443 + 0.917627i \(0.630102\pi\)
\(128\) −160530. + 92681.9i −0.0765466 + 0.0441942i
\(129\) −49151.5 2.37375e6i −0.0228964 1.10577i
\(130\) −634861. + 1.09961e6i −0.288967 + 0.500506i
\(131\) −1.19601e6 690515.i −0.532010 0.307156i 0.209824 0.977739i \(-0.432711\pi\)
−0.741835 + 0.670583i \(0.766044\pi\)
\(132\) −260526. + 473625.i −0.113274 + 0.205927i
\(133\) −1.98977e6 3.44637e6i −0.845760 1.46490i
\(134\) 2.30393e6i 0.957534i
\(135\) −970040. + 1.95060e6i −0.394265 + 0.792804i
\(136\) 746985. 0.296958
\(137\) 3.07236e6 1.77383e6i 1.19484 0.689842i 0.235441 0.971889i \(-0.424347\pi\)
0.959401 + 0.282046i \(0.0910132\pi\)
\(138\) 2.87061e6 + 1.57903e6i 1.09229 + 0.600832i
\(139\) −1.61016e6 + 2.78888e6i −0.599548 + 1.03845i 0.393339 + 0.919393i \(0.371320\pi\)
−0.992888 + 0.119055i \(0.962014\pi\)
\(140\) 1.00095e6 + 577898.i 0.364777 + 0.210604i
\(141\) −3.50304e6 + 72534.8i −1.24965 + 0.0258755i
\(142\) −527678. 913966.i −0.184291 0.319202i
\(143\) 1.26880e6i 0.433895i
\(144\) 346167. 661381.i 0.115931 0.221495i
\(145\) 2.73945e6 0.898585
\(146\) −1.18605e6 + 684769.i −0.381106 + 0.220032i
\(147\) −257602. + 155925.i −0.0810957 + 0.0490866i
\(148\) −481500. + 833982.i −0.148529 + 0.257259i
\(149\) −791423. 456928.i −0.239249 0.138130i 0.375583 0.926789i \(-0.377443\pi\)
−0.614832 + 0.788658i \(0.710776\pi\)
\(150\) 266947. + 441022.i 0.0790955 + 0.130673i
\(151\) −799451. 1.38469e6i −0.232199 0.402181i 0.726256 0.687425i \(-0.241259\pi\)
−0.958455 + 0.285244i \(0.907925\pi\)
\(152\) 2.20744e6i 0.628577i
\(153\) −2.54073e6 + 1.61068e6i −0.709388 + 0.449712i
\(154\) −1.15495e6 −0.316230
\(155\) −3.88499e6 + 2.24300e6i −1.04327 + 0.602329i
\(156\) 36273.7 + 1.75183e6i 0.00955472 + 0.461442i
\(157\) 2.83537e6 4.91100e6i 0.732673 1.26903i −0.223063 0.974804i \(-0.571606\pi\)
0.955737 0.294224i \(-0.0950611\pi\)
\(158\) 619097. + 357436.i 0.156959 + 0.0906206i
\(159\) 2.15495e6 3.91761e6i 0.536100 0.974607i
\(160\) 320559. + 555225.i 0.0782615 + 0.135553i
\(161\) 7.00010e6i 1.67736i
\(162\) 248675. + 2.99598e6i 0.0584908 + 0.704683i
\(163\) 5.58510e6 1.28964 0.644820 0.764335i \(-0.276932\pi\)
0.644820 + 0.764335i \(0.276932\pi\)
\(164\) 1.64143e6 947678.i 0.372126 0.214847i
\(165\) 1.63813e6 + 901083.i 0.364667 + 0.200592i
\(166\) −195081. + 337891.i −0.0426473 + 0.0738673i
\(167\) −5.13451e6 2.96441e6i −1.10243 0.636486i −0.165569 0.986198i \(-0.552946\pi\)
−0.936857 + 0.349712i \(0.886279\pi\)
\(168\) 1.59464e6 33019.0i 0.336307 0.00696364i
\(169\) 356991. + 618327.i 0.0739601 + 0.128103i
\(170\) 2.58360e6i 0.525870i
\(171\) 4.75978e6 + 7.50819e6i 0.951915 + 1.50158i
\(172\) 2.81394e6 0.553006
\(173\) −1.94362e6 + 1.12215e6i −0.375382 + 0.216727i −0.675807 0.737079i \(-0.736205\pi\)
0.300425 + 0.953805i \(0.402871\pi\)
\(174\) 3.23409e6 1.95757e6i 0.613910 0.371595i
\(175\) −550738. + 953906.i −0.102762 + 0.177988i
\(176\) −554821. 320326.i −0.101769 0.0587563i
\(177\) −744499. 1.22998e6i −0.134259 0.221809i
\(178\) −1.16850e6 2.02389e6i −0.207189 0.358862i
\(179\) 777450.i 0.135554i −0.997700 0.0677772i \(-0.978409\pi\)
0.997700 0.0677772i \(-0.0215907\pi\)
\(180\) −2.28752e6 1.19729e6i −0.392236 0.205297i
\(181\) 4.10696e6 0.692604 0.346302 0.938123i \(-0.387437\pi\)
0.346302 + 0.938123i \(0.387437\pi\)
\(182\) −3.24223e6 + 1.87190e6i −0.537811 + 0.310505i
\(183\) −149229. 7.20696e6i −0.0243501 1.17598i
\(184\) −1.94147e6 + 3.36273e6i −0.311658 + 0.539807i
\(185\) 2.88450e6 + 1.66536e6i 0.455570 + 0.263023i
\(186\) −2.98366e6 + 5.42417e6i −0.463672 + 0.842935i
\(187\) 1.29086e6 + 2.23584e6i 0.197403 + 0.341912i
\(188\) 4.15264e6i 0.624958i
\(189\) −5.35268e6 + 3.55074e6i −0.792840 + 0.525937i
\(190\) −7.63489e6 −1.11312
\(191\) −3.69615e6 + 2.13397e6i −0.530456 + 0.306259i −0.741202 0.671282i \(-0.765744\pi\)
0.210746 + 0.977541i \(0.432411\pi\)
\(192\) 775197. + 426411.i 0.109524 + 0.0602456i
\(193\) 4.05006e6 7.01491e6i 0.563365 0.975777i −0.433835 0.900992i \(-0.642840\pi\)
0.997200 0.0747842i \(-0.0238268\pi\)
\(194\) −4.79337e6 2.76745e6i −0.656502 0.379031i
\(195\) 6.05905e6 125460.i 0.817147 0.0169200i
\(196\) −178440. 309067.i −0.0236986 0.0410473i
\(197\) 4.08228e6i 0.533955i −0.963703 0.266977i \(-0.913975\pi\)
0.963703 0.266977i \(-0.0860249\pi\)
\(198\) 2.57782e6 106800.i 0.332091 0.0137586i
\(199\) 1.02814e6 0.130464 0.0652322 0.997870i \(-0.479221\pi\)
0.0652322 + 0.997870i \(0.479221\pi\)
\(200\) −529131. + 305494.i −0.0661413 + 0.0381867i
\(201\) −9.40744e6 + 5.69426e6i −1.15847 + 0.701211i
\(202\) 3.18549e6 5.51743e6i 0.386476 0.669396i
\(203\) 6.99516e6 + 4.03866e6i 0.836199 + 0.482780i
\(204\) −1.84621e6 3.05011e6i −0.217465 0.359273i
\(205\) −3.27774e6 5.67721e6i −0.380463 0.658982i
\(206\) 5.98260e6i 0.684365i
\(207\) −647305. 1.56240e7i −0.0729790 1.76149i
\(208\) −2.07668e6 −0.230770
\(209\) 6.60720e6 3.81467e6i 0.723733 0.417847i
\(210\) −114203. 5.51540e6i −0.0123316 0.595551i
\(211\) −7.72519e6 + 1.33804e7i −0.822359 + 1.42437i 0.0815616 + 0.996668i \(0.474009\pi\)
−0.903921 + 0.427700i \(0.859324\pi\)
\(212\) 4.58922e6 + 2.64959e6i 0.481650 + 0.278081i
\(213\) −2.42775e6 + 4.41354e6i −0.251226 + 0.456718i
\(214\) 1.71755e6 + 2.97488e6i 0.175254 + 0.303548i
\(215\) 9.73259e6i 0.979294i
\(216\) −3.55613e6 + 221155.i −0.352872 + 0.0219450i
\(217\) −1.32271e7 −1.29445
\(218\) 4.70941e6 2.71898e6i 0.454566 0.262444i
\(219\) 5.72745e6 + 3.15049e6i 0.545292 + 0.299948i
\(220\) −1.10791e6 + 1.91896e6i −0.104049 + 0.180218i
\(221\) 7.24749e6 + 4.18434e6i 0.671445 + 0.387659i
\(222\) 4.59538e6 95153.0i 0.420013 0.00869688i
\(223\) 1.40565e6 + 2.43465e6i 0.126754 + 0.219544i 0.922417 0.386195i \(-0.126211\pi\)
−0.795663 + 0.605739i \(0.792877\pi\)
\(224\) 1.89035e6i 0.168189i
\(225\) 1.14102e6 2.18001e6i 0.100172 0.191387i
\(226\) 7.57326e6 0.656081
\(227\) 6.45811e6 3.72859e6i 0.552113 0.318762i −0.197861 0.980230i \(-0.563399\pi\)
0.749974 + 0.661468i \(0.230066\pi\)
\(228\) −9.01348e6 + 5.45579e6i −0.760480 + 0.460313i
\(229\) −6.31232e6 + 1.09333e7i −0.525633 + 0.910422i 0.473922 + 0.880567i \(0.342838\pi\)
−0.999554 + 0.0298554i \(0.990495\pi\)
\(230\) 1.16307e7 + 6.71498e6i 0.955921 + 0.551901i
\(231\) 2.85452e6 + 4.71594e6i 0.231578 + 0.382589i
\(232\) 2.24024e6 + 3.88021e6i 0.179403 + 0.310736i
\(233\) 1.64283e7i 1.29875i 0.760469 + 0.649374i \(0.224969\pi\)
−0.760469 + 0.649374i \(0.775031\pi\)
\(234\) 7.06344e6 4.47783e6i 0.551276 0.349478i
\(235\) −1.43628e7 −1.10671
\(236\) 1.47571e6 852002.i 0.112270 0.0648194i
\(237\) −70635.8 3.41133e6i −0.00530615 0.256259i
\(238\) 3.80890e6 6.59721e6i 0.282533 0.489361i
\(239\) −8.45060e6 4.87895e6i −0.619004 0.357382i 0.157477 0.987523i \(-0.449664\pi\)
−0.776481 + 0.630140i \(0.782997\pi\)
\(240\) 1.47483e6 2.68118e6i 0.106686 0.193951i
\(241\) 7.37017e6 + 1.27655e7i 0.526534 + 0.911984i 0.999522 + 0.0309150i \(0.00984213\pi\)
−0.472988 + 0.881069i \(0.656825\pi\)
\(242\) 7.80725e6i 0.550873i
\(243\) 1.16187e7 8.42010e6i 0.809724 0.586811i
\(244\) 8.54341e6 0.588115
\(245\) −1.06897e6 + 617171.i −0.0726888 + 0.0419669i
\(246\) −7.92644e6 4.36008e6i −0.532443 0.292880i
\(247\) 1.23653e7 2.14173e7i 0.820566 1.42126i
\(248\) −6.35406e6 3.66852e6i −0.416578 0.240511i
\(249\) 1.86184e6 38551.6i 0.120599 0.00249715i
\(250\) 5.94796e6 + 1.03022e7i 0.380669 + 0.659339i
\(251\) 1.31485e7i 0.831486i −0.909482 0.415743i \(-0.863522\pi\)
0.909482 0.415743i \(-0.136478\pi\)
\(252\) −4.07606e6 6.42967e6i −0.254706 0.401779i
\(253\) −1.34202e7 −0.828700
\(254\) −7.97666e6 + 4.60533e6i −0.486766 + 0.281034i
\(255\) −1.05494e7 + 6.38548e6i −0.636221 + 0.385100i
\(256\) −524288. + 908093.i −0.0312500 + 0.0541266i
\(257\) −1.86427e7 1.07634e7i −1.09827 0.634087i −0.162505 0.986708i \(-0.551957\pi\)
−0.935766 + 0.352621i \(0.885291\pi\)
\(258\) −6.95479e6 1.14900e7i −0.404972 0.669051i
\(259\) 4.91036e6 + 8.50500e6i 0.282627 + 0.489525i
\(260\) 7.18263e6i 0.408661i
\(261\) −1.59864e7 8.36730e6i −0.899145 0.470613i
\(262\) −7.81229e6 −0.434385
\(263\) 7.35362e6 4.24561e6i 0.404235 0.233385i −0.284075 0.958802i \(-0.591686\pi\)
0.688310 + 0.725417i \(0.258353\pi\)
\(264\) 63302.2 + 3.05716e6i 0.00344039 + 0.166152i
\(265\) 9.16414e6 1.58728e7i 0.492441 0.852933i
\(266\) −1.94956e7 1.12558e7i −1.03584 0.598042i
\(267\) −5.37602e6 + 9.77338e6i −0.282441 + 0.513465i
\(268\) −6.51649e6 1.12869e7i −0.338539 0.586367i
\(269\) 883900.i 0.0454094i −0.999742 0.0227047i \(-0.992772\pi\)
0.999742 0.0227047i \(-0.00722776\pi\)
\(270\) 764911. + 1.22996e7i 0.0388615 + 0.624885i
\(271\) −6.17663e6 −0.310345 −0.155172 0.987887i \(-0.549593\pi\)
−0.155172 + 0.987887i \(0.549593\pi\)
\(272\) 3.65946e6 2.11279e6i 0.181849 0.104991i
\(273\) 1.56567e7 + 8.61225e6i 0.769507 + 0.423281i
\(274\) 1.00343e7 1.73799e7i 0.487792 0.844881i
\(275\) −1.82878e6 1.05584e6i −0.0879351 0.0507693i
\(276\) 1.85292e7 383670.i 0.881312 0.0182487i
\(277\) 2.90287e6 + 5.02791e6i 0.136580 + 0.236564i 0.926200 0.377033i \(-0.123056\pi\)
−0.789620 + 0.613596i \(0.789722\pi\)
\(278\) 1.82169e7i 0.847889i
\(279\) 2.95223e7 1.22312e6i 1.35937 0.0563191i
\(280\) 6.53817e6 0.297839
\(281\) −1.17606e7 + 6.78998e6i −0.530042 + 0.306020i −0.741033 0.671468i \(-0.765664\pi\)
0.210992 + 0.977488i \(0.432331\pi\)
\(282\) −1.69562e7 + 1.02634e7i −0.756102 + 0.457663i
\(283\) −2.53102e6 + 4.38385e6i −0.111670 + 0.193418i −0.916444 0.400164i \(-0.868953\pi\)
0.804774 + 0.593582i \(0.202287\pi\)
\(284\) −5.17017e6 2.98500e6i −0.225710 0.130313i
\(285\) 1.88700e7 + 3.11749e7i 0.815148 + 1.34670i
\(286\) −3.58870e6 6.21582e6i −0.153405 0.265705i
\(287\) 1.93290e7i 0.817642i
\(288\) −174802. 4.21920e6i −0.00731762 0.176625i
\(289\) 7.10918e6 0.294528
\(290\) 1.34205e7 7.74833e6i 0.550268 0.317698i
\(291\) 546899. + 2.64123e7i 0.0221936 + 1.07183i
\(292\) −3.87364e6 + 6.70933e6i −0.155586 + 0.269483i
\(293\) 3.26203e7 + 1.88334e7i 1.29684 + 0.748730i 0.979857 0.199702i \(-0.0639974\pi\)
0.316981 + 0.948432i \(0.397331\pi\)
\(294\) −820967. + 1.49248e6i −0.0323060 + 0.0587310i
\(295\) −2.94682e6 5.10405e6i −0.114786 0.198815i
\(296\) 5.44755e6i 0.210051i
\(297\) −6.80728e6 1.02619e7i −0.259839 0.391703i
\(298\) −5.16956e6 −0.195346
\(299\) −3.76736e7 + 2.17509e7i −1.40937 + 0.813698i
\(300\) 2.55517e6 + 1.40552e6i 0.0946359 + 0.0520562i
\(301\) 1.43484e7 2.48521e7i 0.526143 0.911306i
\(302\) −7.83298e6 4.52238e6i −0.284385 0.164190i
\(303\) −3.04020e7 + 629511.i −1.09288 + 0.0226295i
\(304\) −6.24359e6 1.08142e7i −0.222235 0.384923i
\(305\) 2.95491e7i 1.04147i
\(306\) −7.89128e6 + 1.50769e7i −0.275412 + 0.526198i
\(307\) 4.60441e7 1.59132 0.795662 0.605740i \(-0.207123\pi\)
0.795662 + 0.605740i \(0.207123\pi\)
\(308\) −5.65810e6 + 3.26671e6i −0.193650 + 0.111804i
\(309\) 2.44283e7 1.47863e7i 0.827975 0.501167i
\(310\) −1.26883e7 + 2.19768e7i −0.425911 + 0.737700i
\(311\) 2.47086e7 + 1.42655e7i 0.821423 + 0.474249i 0.850907 0.525316i \(-0.176053\pi\)
−0.0294839 + 0.999565i \(0.509386\pi\)
\(312\) 5.13261e6 + 8.47956e6i 0.168995 + 0.279196i
\(313\) −1.10257e7 1.90970e7i −0.359560 0.622776i 0.628327 0.777949i \(-0.283740\pi\)
−0.987887 + 0.155173i \(0.950407\pi\)
\(314\) 3.20785e7i 1.03616i
\(315\) −2.22383e7 + 1.40979e7i −0.711493 + 0.451047i
\(316\) 4.04392e6 0.128157
\(317\) 1.49989e7 8.65961e6i 0.470848 0.271844i −0.245746 0.969334i \(-0.579033\pi\)
0.716595 + 0.697490i \(0.245700\pi\)
\(318\) −523607. 2.52874e7i −0.0162826 0.786362i
\(319\) −7.74269e6 + 1.34107e7i −0.238517 + 0.413124i
\(320\) 3.14083e6 + 1.81336e6i 0.0958504 + 0.0553393i
\(321\) 7.90209e6 1.43657e7i 0.238906 0.434321i
\(322\) 1.97993e7 + 3.42933e7i 0.593037 + 1.02717i
\(323\) 5.03212e7i 1.49329i
\(324\) 9.69217e6 + 1.39739e7i 0.284961 + 0.410849i
\(325\) −6.84506e6 −0.199401
\(326\) 2.73613e7 1.57971e7i 0.789740 0.455956i
\(327\) −2.27417e7 1.25095e7i −0.650399 0.357764i
\(328\) 5.36088e6 9.28531e6i 0.151920 0.263133i
\(329\) −3.66752e7 2.11745e7i −1.02988 0.594600i
\(330\) 1.05738e7 218944.i 0.294232 0.00609243i
\(331\) −7.07998e6 1.22629e7i −0.195231 0.338149i 0.751745 0.659453i \(-0.229212\pi\)
−0.946976 + 0.321304i \(0.895879\pi\)
\(332\) 2.20709e6i 0.0603124i
\(333\) −1.17462e7 1.85288e7i −0.318101 0.501781i
\(334\) −3.35385e7 −0.900127
\(335\) −3.90380e7 + 2.25386e7i −1.03837 + 0.599505i
\(336\) 7.71873e6 4.67209e6i 0.203483 0.123167i
\(337\) −2.40697e7 + 4.16899e7i −0.628898 + 1.08928i 0.358875 + 0.933386i \(0.383160\pi\)
−0.987773 + 0.155898i \(0.950173\pi\)
\(338\) 3.49779e6 + 2.01945e6i 0.0905823 + 0.0522977i
\(339\) −1.87177e7 3.09233e7i −0.480455 0.793756i
\(340\) −7.30752e6 1.26570e7i −0.185923 0.322028i
\(341\) 2.53582e7i 0.639521i
\(342\) 4.45544e7 + 2.33198e7i 1.11381 + 0.582971i
\(343\) −4.20328e7 −1.04161
\(344\) 1.37854e7 7.95903e6i 0.338646 0.195517i
\(345\) −1.32700e6 6.40871e7i −0.0323158 1.56068i
\(346\) −6.34784e6 + 1.09948e7i −0.153249 + 0.265435i
\(347\) 4.75029e7 + 2.74258e7i 1.13692 + 0.656404i 0.945667 0.325136i \(-0.105410\pi\)
0.191258 + 0.981540i \(0.438743\pi\)
\(348\) 1.03069e7 1.87375e7i 0.244563 0.444605i
\(349\) 8.59925e6 + 1.48943e7i 0.202295 + 0.350385i 0.949267 0.314470i \(-0.101827\pi\)
−0.746973 + 0.664855i \(0.768493\pi\)
\(350\) 6.23089e6i 0.145327i
\(351\) −3.57416e7 1.77745e7i −0.826519 0.411031i
\(352\) −3.62408e6 −0.0830939
\(353\) −6.25279e6 + 3.61005e6i −0.142151 + 0.0820709i −0.569389 0.822068i \(-0.692820\pi\)
0.427238 + 0.904139i \(0.359487\pi\)
\(354\) −7.12620e6 3.91990e6i −0.160638 0.0883619i
\(355\) −1.03242e7 + 1.78821e7i −0.230767 + 0.399699i
\(356\) −1.14489e7 6.61001e6i −0.253754 0.146505i
\(357\) −3.63517e7 + 752707.i −0.798952 + 0.0165433i
\(358\) −2.19896e6 3.80871e6i −0.0479257 0.0830097i
\(359\) 1.62223e6i 0.0350614i −0.999846 0.0175307i \(-0.994420\pi\)
0.999846 0.0175307i \(-0.00558048\pi\)
\(360\) −1.45930e7 + 604590.i −0.312778 + 0.0129585i
\(361\) 1.01660e8 2.16087
\(362\) 2.01199e7 1.16162e7i 0.424131 0.244872i
\(363\) 3.18787e7 1.92960e7i 0.666471 0.403410i
\(364\) −1.05891e7 + 1.83408e7i −0.219560 + 0.380289i
\(365\) 2.32056e7 + 1.33978e7i 0.477215 + 0.275520i
\(366\) −2.11154e7 3.48847e7i −0.430682 0.711527i
\(367\) −1.08645e7 1.88180e7i −0.219793 0.380692i 0.734952 0.678119i \(-0.237205\pi\)
−0.954745 + 0.297427i \(0.903871\pi\)
\(368\) 2.19653e7i 0.440751i
\(369\) 1.78737e6 + 4.31416e7i 0.0355741 + 0.858652i
\(370\) 1.88415e7 0.371971
\(371\) 4.68012e7 2.70207e7i 0.916505 0.529145i
\(372\) 724966. + 3.50120e7i 0.0140828 + 0.680123i
\(373\) −3.03671e7 + 5.25974e7i −0.585163 + 1.01353i 0.409692 + 0.912224i \(0.365636\pi\)
−0.994855 + 0.101309i \(0.967697\pi\)
\(374\) 1.26478e7 + 7.30221e6i 0.241769 + 0.139585i
\(375\) 2.73654e7 4.97491e7i 0.518929 0.943391i
\(376\) −1.17455e7 2.03437e7i −0.220956 0.382707i
\(377\) 5.01961e7i 0.936797i
\(378\) −1.61796e7 + 3.25347e7i −0.299567 + 0.602381i
\(379\) 2.01121e7 0.369437 0.184719 0.982791i \(-0.440863\pi\)
0.184719 + 0.982791i \(0.440863\pi\)
\(380\) −3.74032e7 + 2.15947e7i −0.681644 + 0.393547i
\(381\) 3.85193e7 + 2.11882e7i 0.696471 + 0.383106i
\(382\) −1.20716e7 + 2.09086e7i −0.216558 + 0.375089i
\(383\) 4.09187e7 + 2.36244e7i 0.728326 + 0.420499i 0.817809 0.575489i \(-0.195188\pi\)
−0.0894836 + 0.995988i \(0.528522\pi\)
\(384\) 5.00375e6 103609.i 0.0883694 0.00182980i
\(385\) 1.12986e7 + 1.95697e7i 0.197989 + 0.342927i
\(386\) 4.58212e7i 0.796718i
\(387\) −2.97270e7 + 5.67959e7i −0.512883 + 0.979905i
\(388\) −3.13102e7 −0.536031
\(389\) 1.67687e7 9.68140e6i 0.284872 0.164471i −0.350755 0.936467i \(-0.614075\pi\)
0.635627 + 0.771996i \(0.280742\pi\)
\(390\) 2.93283e7 1.77522e7i 0.494416 0.299267i
\(391\) 4.42581e7 7.66574e7i 0.740394 1.28240i
\(392\) −1.74835e6 1.00941e6i −0.0290248 0.0167575i
\(393\) 1.93084e7 + 3.18993e7i 0.318104 + 0.525538i
\(394\) −1.15464e7 1.99990e7i −0.188782 0.326979i
\(395\) 1.39867e7i 0.226947i
\(396\) 1.23266e7 7.81438e6i 0.198499 0.125837i
\(397\) −3.66656e7 −0.585986 −0.292993 0.956115i \(-0.594651\pi\)
−0.292993 + 0.956115i \(0.594651\pi\)
\(398\) 5.03682e6 2.90801e6i 0.0798928 0.0461261i
\(399\) 2.22435e6 + 1.07424e8i 0.0350175 + 1.69116i
\(400\) −1.72813e6 + 2.99321e6i −0.0270021 + 0.0467690i
\(401\) −1.04853e8 6.05366e7i −1.62609 0.938826i −0.985243 0.171162i \(-0.945248\pi\)
−0.640852 0.767665i \(-0.721419\pi\)
\(402\) −2.99811e7 + 5.45043e7i −0.461497 + 0.838982i
\(403\) −4.10994e7 7.11863e7i −0.627944 1.08763i
\(404\) 3.60397e7i 0.546560i
\(405\) 4.83316e7 3.35224e7i 0.727555 0.504626i
\(406\) 4.56922e7 0.682754
\(407\) −1.63053e7 + 9.41387e6i −0.241850 + 0.139632i
\(408\) −1.76715e7 9.72055e6i −0.260192 0.143123i
\(409\) −1.99142e7 + 3.44925e7i −0.291067 + 0.504144i −0.974062 0.226279i \(-0.927344\pi\)
0.682995 + 0.730423i \(0.260677\pi\)
\(410\) −3.21152e7 1.85417e7i −0.465970 0.269028i
\(411\) −9.57662e7 + 1.98296e6i −1.37939 + 0.0285619i
\(412\) 1.69213e7 + 2.93086e7i 0.241960 + 0.419086i
\(413\) 1.73775e7i 0.246683i
\(414\) −4.73624e7 7.47107e7i −0.667472 1.05289i
\(415\) 7.63369e6 0.106805
\(416\) −1.01736e7 + 5.87375e6i −0.141317 + 0.0815897i
\(417\) 7.43835e7 4.50238e7i 1.02581 0.620918i
\(418\) 2.15790e7 3.73759e7i 0.295463 0.511756i
\(419\) 4.69066e7 + 2.70815e7i 0.637664 + 0.368155i 0.783714 0.621122i \(-0.213323\pi\)
−0.146050 + 0.989277i \(0.546656\pi\)
\(420\) −1.61594e7 2.66968e7i −0.218111 0.360339i
\(421\) −2.70636e7 4.68755e7i −0.362693 0.628203i 0.625710 0.780056i \(-0.284809\pi\)
−0.988403 + 0.151853i \(0.951476\pi\)
\(422\) 8.74005e7i 1.16299i
\(423\) 8.38159e7 + 4.38693e7i 1.10740 + 0.579615i
\(424\) 2.99767e7 0.393265
\(425\) 1.20621e7 6.96408e6i 0.157130 0.0907188i
\(426\) 589890. + 2.84885e7i 0.00763031 + 0.368503i
\(427\) 4.35631e7 7.54536e7i 0.559546 0.969161i
\(428\) 1.68284e7 + 9.71590e6i 0.214641 + 0.123923i
\(429\) −1.65109e7 + 3.00161e7i −0.209122 + 0.380175i
\(430\) −2.75279e7 4.76798e7i −0.346233 0.599693i
\(431\) 8.08186e7i 1.00944i −0.863284 0.504719i \(-0.831596\pi\)
0.863284 0.504719i \(-0.168404\pi\)
\(432\) −1.67959e7 + 1.11417e7i −0.208330 + 0.138198i
\(433\) −1.33718e7 −0.164713 −0.0823563 0.996603i \(-0.526245\pi\)
−0.0823563 + 0.996603i \(0.526245\pi\)
\(434\) −6.47991e7 + 3.74118e7i −0.792684 + 0.457656i
\(435\) −6.48075e7 3.56485e7i −0.787331 0.433086i
\(436\) 1.53809e7 2.66405e7i 0.185576 0.321427i
\(437\) −2.26533e8 1.30789e8i −2.71448 1.56721i
\(438\) 3.69696e7 765501.i 0.439969 0.00911010i
\(439\) 3.81803e7 + 6.61302e7i 0.451280 + 0.781640i 0.998466 0.0553714i \(-0.0176343\pi\)
−0.547186 + 0.837011i \(0.684301\pi\)
\(440\) 1.25346e7i 0.147147i
\(441\) 8.12320e6 336546.i 0.0947133 0.00392399i
\(442\) 4.73404e7 0.548233
\(443\) −9.63056e7 + 5.56020e7i −1.10775 + 0.639557i −0.938245 0.345973i \(-0.887549\pi\)
−0.169501 + 0.985530i \(0.554216\pi\)
\(444\) 2.22435e7 1.34639e7i 0.254130 0.153823i
\(445\) −2.28621e7 + 3.95983e7i −0.259439 + 0.449362i
\(446\) 1.37725e7 + 7.95154e6i 0.155241 + 0.0896286i
\(447\) 1.27768e7 + 2.11085e7i 0.143054 + 0.236338i
\(448\) 5.34672e6 + 9.26079e6i 0.0594639 + 0.102995i
\(449\) 1.36515e8i 1.50814i 0.656793 + 0.754071i \(0.271913\pi\)
−0.656793 + 0.754071i \(0.728087\pi\)
\(450\) −576175. 1.39071e7i −0.00632291 0.152616i
\(451\) 3.70564e7 0.403956
\(452\) 3.71012e7 2.14204e7i 0.401766 0.231960i
\(453\) 893703. + 4.31611e7i 0.00961388 + 0.464299i
\(454\) 2.10921e7 3.65326e7i 0.225399 0.390403i
\(455\) 6.34354e7 + 3.66245e7i 0.673438 + 0.388810i
\(456\) −2.87255e7 + 5.22218e7i −0.302952 + 0.550753i
\(457\) 5.42046e7 + 9.38851e7i 0.567920 + 0.983667i 0.996771 + 0.0802917i \(0.0255852\pi\)
−0.428851 + 0.903375i \(0.641081\pi\)
\(458\) 7.14157e7i 0.743357i
\(459\) 8.10662e7 5.04149e6i 0.838305 0.0521340i
\(460\) 7.59713e7 0.780506
\(461\) 1.42152e8 8.20712e7i 1.45094 0.837699i 0.452403 0.891814i \(-0.350567\pi\)
0.998535 + 0.0541143i \(0.0172335\pi\)
\(462\) 2.73229e7 + 1.50295e7i 0.277078 + 0.152412i
\(463\) −1.86985e7 + 3.23867e7i −0.188392 + 0.326305i −0.944714 0.327895i \(-0.893661\pi\)
0.756322 + 0.654199i \(0.226994\pi\)
\(464\) 2.19498e7 + 1.26727e7i 0.219723 + 0.126857i
\(465\) 1.21096e8 2.50744e6i 1.20440 0.0249386i
\(466\) 4.64663e7 + 8.04820e7i 0.459177 + 0.795318i
\(467\) 1.45951e8i 1.43304i −0.697569 0.716518i \(-0.745735\pi\)
0.697569 0.716518i \(-0.254265\pi\)
\(468\) 2.19384e7 4.19152e7i 0.214027 0.408916i
\(469\) −1.32911e8 −1.28838
\(470\) −7.03629e7 + 4.06240e7i −0.677720 + 0.391282i
\(471\) −1.30984e8 + 7.92835e7i −1.25359 + 0.758788i
\(472\) 4.81965e6 8.34788e6i 0.0458342 0.0793872i
\(473\) 4.76451e7 + 2.75079e7i 0.450230 + 0.259941i
\(474\) −9.99474e6 1.65122e7i −0.0938505 0.155050i
\(475\) −2.05798e7 3.56453e7i −0.192026 0.332599i
\(476\) 4.30928e7i 0.399561i
\(477\) −1.01960e8 + 6.46369e7i −0.939452 + 0.595560i
\(478\) −5.51991e7 −0.505415
\(479\) 1.15157e8 6.64861e7i 1.04782 0.604957i 0.125779 0.992058i \(-0.459857\pi\)
0.922037 + 0.387102i \(0.126524\pi\)
\(480\) −358352. 1.73065e7i −0.00324031 0.156490i
\(481\) −3.05152e7 + 5.28539e7i −0.274208 + 0.474943i
\(482\) 7.22127e7 + 4.16920e7i 0.644870 + 0.372316i
\(483\) 9.10926e7 1.65602e8i 0.808428 1.46969i
\(484\) 2.20822e7 + 3.82475e7i 0.194763 + 0.337340i
\(485\) 1.08293e8i 0.949235i
\(486\) 3.31039e7 7.41124e7i 0.288383 0.645628i
\(487\) −4.62190e7 −0.400160 −0.200080 0.979780i \(-0.564120\pi\)
−0.200080 + 0.979780i \(0.564120\pi\)
\(488\) 4.18540e7 2.41644e7i 0.360145 0.207930i
\(489\) −1.32128e8 7.26792e7i −1.12997 0.621561i
\(490\) −3.49124e6 + 6.04701e6i −0.0296751 + 0.0513988i
\(491\) −7.93099e7 4.57896e7i −0.670012 0.386832i 0.126069 0.992021i \(-0.459764\pi\)
−0.796081 + 0.605190i \(0.793097\pi\)
\(492\) −5.11637e7 + 1.05941e6i −0.429602 + 0.00889544i
\(493\) −5.10689e7 8.84539e7i −0.426202 0.738204i
\(494\) 1.39897e8i 1.16046i
\(495\) −2.70276e7 4.26341e7i −0.222840 0.351513i
\(496\) −4.15046e7 −0.340135
\(497\) −5.27257e7 + 3.04412e7i −0.429490 + 0.247966i
\(498\) 9.01206e6 5.45493e6i 0.0729686 0.0441674i
\(499\) 2.85950e7 4.95279e7i 0.230138 0.398610i −0.727711 0.685884i \(-0.759416\pi\)
0.957848 + 0.287274i \(0.0927490\pi\)
\(500\) 5.82779e7 + 3.36467e7i 0.466223 + 0.269174i
\(501\) 8.28919e7 + 1.36945e8i 0.659172 + 1.08901i
\(502\) −3.71896e7 6.44142e7i −0.293975 0.509179i
\(503\) 1.85206e8i 1.45530i 0.685950 + 0.727649i \(0.259387\pi\)
−0.685950 + 0.727649i \(0.740613\pi\)
\(504\) −3.81544e7 1.99700e7i −0.298025 0.155986i
\(505\) −1.24651e8 −0.967879
\(506\) −6.57453e7 + 3.79580e7i −0.507473 + 0.292990i
\(507\) −399080. 1.92734e7i −0.00306221 0.147889i
\(508\) −2.60517e7 + 4.51228e7i −0.198721 + 0.344195i
\(509\) 1.08544e8 + 6.26677e7i 0.823097 + 0.475215i 0.851483 0.524382i \(-0.175704\pi\)
−0.0283864 + 0.999597i \(0.509037\pi\)
\(510\) −3.36205e7 + 6.11206e7i −0.253451 + 0.460762i
\(511\) 3.95036e7 + 6.84222e7i 0.296056 + 0.512784i
\(512\) 5.93164e6i 0.0441942i
\(513\) −1.48983e7 2.39562e8i −0.110353 1.77446i
\(514\) −1.21774e8 −0.896734
\(515\) 1.01370e8 5.85259e7i 0.742142 0.428476i
\(516\) −6.65699e7 3.66180e7i −0.484539 0.266529i
\(517\) 4.05945e7 7.03117e7i 0.293762 0.508811i
\(518\) 4.81115e7 + 2.77772e7i 0.346146 + 0.199848i
\(519\) 6.05831e7 1.25445e6i 0.433361 0.00897326i
\(520\) 2.03155e7 + 3.51876e7i 0.144484 + 0.250253i
\(521\) 1.64203e8i 1.16109i −0.814227 0.580546i \(-0.802839\pi\)
0.814227 0.580546i \(-0.197161\pi\)
\(522\) −1.01983e8 + 4.22520e6i −0.716998 + 0.0297054i
\(523\) −1.39702e8 −0.976559 −0.488280 0.872687i \(-0.662375\pi\)
−0.488280 + 0.872687i \(0.662375\pi\)
\(524\) −3.82722e7 + 2.20965e7i −0.266005 + 0.153578i
\(525\) 2.54421e7 1.53999e7i 0.175823 0.106424i
\(526\) 2.40168e7 4.15983e7i 0.165028 0.285837i
\(527\) 1.44848e8 + 8.36282e7i 0.989649 + 0.571374i
\(528\) 8.95707e6 + 1.47979e7i 0.0608505 + 0.100531i
\(529\) 1.56043e8 + 2.70274e8i 1.05409 + 1.82574i
\(530\) 1.03680e8i 0.696417i
\(531\) 1.60692e6 + 3.87861e7i 0.0107327 + 0.259055i
\(532\) −1.27345e8 −0.845760
\(533\) 1.04026e8 6.00594e7i 0.687005 0.396643i
\(534\) 1.30626e6 + 6.30853e7i 0.00857838 + 0.414290i
\(535\) 3.36044e7 5.82046e7i 0.219450 0.380098i
\(536\) −6.38483e7 3.68628e7i −0.414624 0.239383i
\(537\) −1.01170e7 + 1.83923e7i −0.0653324 + 0.118771i
\(538\) −2.50005e6 4.33021e6i −0.0160547 0.0278075i
\(539\) 6.97741e6i 0.0445582i
\(540\) 3.85358e7 + 5.80921e7i 0.244728 + 0.368923i
\(541\) 1.45535e8 0.919130 0.459565 0.888144i \(-0.348005\pi\)
0.459565 + 0.888144i \(0.348005\pi\)
\(542\) −3.02592e7 + 1.74702e7i −0.190046 + 0.109723i
\(543\) −9.71590e7 5.34441e7i −0.606853 0.333810i
\(544\) 1.19518e7 2.07010e7i 0.0742395 0.128587i
\(545\) −9.21415e7 5.31979e7i −0.569201 0.328628i
\(546\) 1.01061e8 2.09259e6i 0.620877 0.0128560i
\(547\) 4.28578e6 + 7.42318e6i 0.0261859 + 0.0453553i 0.878821 0.477151i \(-0.158330\pi\)
−0.852635 + 0.522506i \(0.824997\pi\)
\(548\) 1.13525e8i 0.689842i
\(549\) −9.02541e7 + 1.72438e8i −0.545444 + 1.04212i
\(550\) −1.19455e7 −0.0717987
\(551\) −2.61393e8 + 1.50915e8i −1.56257 + 0.902150i
\(552\) 8.96891e7 5.42881e7i 0.533240 0.322766i
\(553\) 2.06201e7 3.57151e7i 0.121931 0.211191i
\(554\) 2.84422e7 + 1.64211e7i 0.167276 + 0.0965767i
\(555\) −4.65675e7 7.69339e7i −0.272398 0.450027i
\(556\) 5.15251e7 + 8.92440e7i 0.299774 + 0.519224i
\(557\) 8.68427e7i 0.502536i 0.967918 + 0.251268i \(0.0808476\pi\)
−0.967918 + 0.251268i \(0.919152\pi\)
\(558\) 1.41170e8 8.94938e7i 0.812530 0.515099i
\(559\) 1.78335e8 1.02094
\(560\) 3.20304e7 1.84927e7i 0.182389 0.105302i
\(561\) −1.44305e6 6.96915e7i −0.00817320 0.394722i
\(562\) −3.84099e7 + 6.65279e7i −0.216389 + 0.374796i
\(563\) −5.26034e6 3.03706e6i −0.0294774 0.0170188i 0.485189 0.874409i \(-0.338751\pi\)
−0.514666 + 0.857391i \(0.672084\pi\)
\(564\) −5.40385e7 + 9.82397e7i −0.301208 + 0.547583i
\(565\) −7.40869e7 1.28322e8i −0.410767 0.711470i
\(566\) 2.86352e7i 0.157925i
\(567\) 1.72835e8 1.43458e7i 0.948162 0.0787002i
\(568\) −3.37714e7 −0.184291
\(569\) −1.35148e8 + 7.80279e7i −0.733624 + 0.423558i −0.819746 0.572727i \(-0.805886\pi\)
0.0861225 + 0.996285i \(0.472552\pi\)
\(570\) 1.80620e8 + 9.93531e7i 0.975305 + 0.536484i
\(571\) −5.10042e7 + 8.83419e7i −0.273967 + 0.474524i −0.969874 0.243608i \(-0.921669\pi\)
0.695907 + 0.718132i \(0.255002\pi\)
\(572\) −3.51620e7 2.03008e7i −0.187882 0.108474i
\(573\) 1.15210e8 2.38556e6i 0.612387 0.0126802i
\(574\) −5.46706e7 9.46922e7i −0.289080 0.500701i
\(575\) 7.24009e7i 0.380838i
\(576\) −1.27901e7 2.01754e7i −0.0669275 0.105573i
\(577\) 2.90791e8 1.51375 0.756874 0.653561i \(-0.226726\pi\)
0.756874 + 0.653561i \(0.226726\pi\)
\(578\) 3.48277e7 2.01078e7i 0.180361 0.104131i
\(579\) −1.87098e8 + 1.13249e8i −0.963905 + 0.583444i
\(580\) 4.38312e7 7.59178e7i 0.224646 0.389099i
\(581\) 1.94926e7 + 1.12540e7i 0.0993896 + 0.0573826i
\(582\) 7.73845e7 + 1.27846e8i 0.392541 + 0.648514i
\(583\) 5.18025e7 + 8.97246e7i 0.261424 + 0.452799i
\(584\) 4.38252e7i 0.220032i
\(585\) −1.44972e8 7.58786e7i −0.724132 0.379011i
\(586\) 2.13075e8 1.05886
\(587\) −9.36918e7 + 5.40930e7i −0.463220 + 0.267440i −0.713397 0.700760i \(-0.752844\pi\)
0.250177 + 0.968200i \(0.419511\pi\)
\(588\) 199477. + 9.63368e6i 0.000981209 + 0.0473871i
\(589\) 2.47133e8 4.28046e8i 1.20944 2.09481i
\(590\) −2.88729e7 1.66698e7i −0.140583 0.0811658i
\(591\) −5.31229e7 + 9.65752e7i −0.257347 + 0.467846i
\(592\) 1.54080e7 + 2.66874e7i 0.0742644 + 0.128630i
\(593\) 2.75079e8i 1.31915i 0.751641 + 0.659573i \(0.229263\pi\)
−0.751641 + 0.659573i \(0.770737\pi\)
\(594\) −6.23736e7 3.10187e7i −0.297606 0.148001i
\(595\) −1.49045e8 −0.707566
\(596\) −2.53255e7 + 1.46217e7i −0.119624 + 0.0690652i
\(597\) −2.43228e7 1.33792e7i −0.114312 0.0628792i
\(598\) −1.23041e8 + 2.13114e8i −0.575371 + 0.996572i
\(599\) −2.94213e8 1.69864e8i −1.36893 0.790351i −0.378138 0.925749i \(-0.623435\pi\)
−0.990791 + 0.135398i \(0.956769\pi\)
\(600\) 1.64931e7 341510.i 0.0763571 0.00158107i
\(601\) −8.08282e7 1.39999e8i −0.372340 0.644911i 0.617585 0.786504i \(-0.288111\pi\)
−0.989925 + 0.141593i \(0.954778\pi\)
\(602\) 1.62333e8i 0.744078i
\(603\) 2.96653e8 1.22904e7i 1.35300 0.0560549i
\(604\) −5.11648e7 −0.232199
\(605\) 1.32287e8 7.63759e7i 0.597380 0.344898i
\(606\) −1.47158e8 + 8.90738e7i −0.661252 + 0.400251i
\(607\) −1.13595e8 + 1.96752e8i −0.507916 + 0.879737i 0.492042 + 0.870572i \(0.336251\pi\)
−0.999958 + 0.00916513i \(0.997083\pi\)
\(608\) −6.11744e7 3.53191e7i −0.272182 0.157144i
\(609\) −1.12930e8 1.86572e8i −0.499987 0.826026i
\(610\) −8.35776e7 1.44761e8i −0.368214 0.637765i
\(611\) 2.63175e8i 1.15378i
\(612\) 3.98482e6 + 9.61816e7i 0.0173842 + 0.419602i
\(613\) −1.32276e8 −0.574247 −0.287124 0.957894i \(-0.592699\pi\)
−0.287124 + 0.957894i \(0.592699\pi\)
\(614\) 2.25569e8 1.30232e8i 0.974483 0.562618i
\(615\) 3.66417e6 + 1.76960e8i 0.0157525 + 0.760764i
\(616\) −1.84793e7 + 3.20071e7i −0.0790575 + 0.136932i
\(617\) −3.09010e8 1.78407e8i −1.31558 0.759551i −0.332567 0.943080i \(-0.607915\pi\)
−0.983014 + 0.183528i \(0.941248\pi\)
\(618\) 7.78518e7 1.41531e8i 0.329840 0.599635i
\(619\) −1.56034e8 2.70258e8i −0.657880 1.13948i −0.981163 0.193179i \(-0.938120\pi\)
0.323284 0.946302i \(-0.395213\pi\)
\(620\) 1.43552e8i 0.602329i
\(621\) −1.88002e8 + 3.78042e8i −0.785033 + 1.57858i
\(622\) 1.61396e8 0.670689
\(623\) −1.16756e8 + 6.74093e7i −0.482855 + 0.278776i
\(624\) 4.91284e7 + 2.70240e7i 0.202199 + 0.111223i
\(625\) 9.00049e7 1.55893e8i 0.368660 0.638538i
\(626\) −1.08029e8 6.23705e7i −0.440369 0.254247i
\(627\) −2.05948e8 + 4.26440e6i −0.835516 + 0.0173004i
\(628\) −9.07318e7 1.57152e8i −0.366337 0.634514i
\(629\) 1.24183e8i 0.499012i
\(630\) −6.90704e7 + 1.31965e8i −0.276230 + 0.527760i
\(631\) 1.95005e7 0.0776172 0.0388086 0.999247i \(-0.487644\pi\)
0.0388086 + 0.999247i \(0.487644\pi\)
\(632\) 1.98111e7 1.14379e7i 0.0784797 0.0453103i
\(633\) 3.56876e8 2.16014e8i 1.40704 0.851670i
\(634\) 4.89862e7 8.48465e7i 0.192223 0.332940i
\(635\) 1.56066e8 + 9.01050e7i 0.609521 + 0.351907i
\(636\) −7.40887e7 1.22401e8i −0.287992 0.475790i
\(637\) −1.13087e7 1.95872e7i −0.0437516 0.0757799i
\(638\) 8.75985e7i 0.337314i
\(639\) 1.14867e8 7.28193e7i 0.440244 0.279090i
\(640\) 2.05158e7 0.0782615
\(641\) 3.70891e8 2.14134e8i 1.40823 0.813040i 0.413009 0.910727i \(-0.364478\pi\)
0.995217 + 0.0976870i \(0.0311444\pi\)
\(642\) −1.92004e6 9.27276e7i −0.00725613 0.350432i
\(643\) −1.61002e8 + 2.78864e8i −0.605619 + 1.04896i 0.386334 + 0.922359i \(0.373741\pi\)
−0.991953 + 0.126604i \(0.959592\pi\)
\(644\) 1.93992e8 + 1.12002e8i 0.726319 + 0.419340i
\(645\) −1.26651e8 + 2.30245e8i −0.471985 + 0.858049i
\(646\) 1.42330e8 + 2.46522e8i 0.527957 + 0.914448i
\(647\) 8.47366e7i 0.312866i 0.987689 + 0.156433i \(0.0499995\pi\)
−0.987689 + 0.156433i \(0.950001\pi\)
\(648\) 8.70059e7 + 4.10442e7i 0.319760 + 0.150844i
\(649\) 3.33153e7 0.121873
\(650\) −3.35338e7 + 1.93608e7i −0.122108 + 0.0704989i
\(651\) 3.12915e8 + 1.72124e8i 1.13418 + 0.623878i
\(652\) 8.93617e7 1.54779e8i 0.322410 0.558430i
\(653\) 3.79152e8 + 2.18903e8i 1.36167 + 0.786163i 0.989847 0.142139i \(-0.0453978\pi\)
0.371828 + 0.928302i \(0.378731\pi\)
\(654\) −1.46793e8 + 3.03954e6i −0.524775 + 0.0108661i
\(655\) 7.64252e7 + 1.32372e8i 0.271965 + 0.471057i
\(656\) 6.06514e7i 0.214847i
\(657\) −9.44977e7 1.49063e8i −0.333215 0.525623i
\(658\) −2.39562e8 −0.840891
\(659\) −2.36172e8 + 1.36354e8i −0.825225 + 0.476444i −0.852215 0.523192i \(-0.824741\pi\)
0.0269900 + 0.999636i \(0.491408\pi\)
\(660\) 5.11816e7 3.09799e7i 0.178025 0.107757i
\(661\) −1.47145e8 + 2.54862e8i −0.509495 + 0.882471i 0.490445 + 0.871472i \(0.336834\pi\)
−0.999940 + 0.0109985i \(0.996499\pi\)
\(662\) −6.93694e7 4.00504e7i −0.239108 0.138049i
\(663\) −1.17004e8 1.93301e8i −0.401476 0.663276i
\(664\) 6.24261e6 + 1.08125e7i 0.0213237 + 0.0369337i
\(665\) 4.40449e8i 1.49772i
\(666\) −1.09952e8 5.75489e7i −0.372203 0.194811i
\(667\) 5.30928e8 1.78920
\(668\) −1.64304e8 + 9.48611e7i −0.551213 + 0.318243i
\(669\) −1.57137e6 7.58887e7i −0.00524807 0.253454i
\(670\) −1.27498e8 + 2.20832e8i −0.423914 + 0.734240i
\(671\) 1.44655e8 + 8.35168e7i 0.478814 + 0.276443i
\(672\) 2.45992e7 4.47203e7i 0.0810613 0.147366i
\(673\) −1.48525e7 2.57254e7i −0.0487254 0.0843949i 0.840634 0.541604i \(-0.182183\pi\)
−0.889359 + 0.457209i \(0.848849\pi\)
\(674\) 2.72317e8i 0.889396i
\(675\) −5.53619e7 + 3.67247e7i −0.180011 + 0.119412i
\(676\) 2.28475e7 0.0739601
\(677\) 4.67116e8 2.69690e8i 1.50542 0.869157i 0.505444 0.862859i \(-0.331329\pi\)
0.999980 0.00629800i \(-0.00200473\pi\)
\(678\) −1.79162e8 9.85512e7i −0.574852 0.316208i
\(679\) −1.59652e8 + 2.76525e8i −0.509992 + 0.883333i
\(680\) −7.15988e7 4.13376e7i −0.227708 0.131468i
\(681\) −2.01301e8 + 4.16818e6i −0.637388 + 0.0131979i
\(682\) −7.17238e7 1.24229e8i −0.226105 0.391625i
\(683\) 5.86183e8i 1.83980i −0.392152 0.919901i \(-0.628269\pi\)
0.392152 0.919901i \(-0.371731\pi\)
\(684\) 2.84230e8 1.17757e7i 0.888180 0.0367975i
\(685\) −3.92649e8 −1.22161
\(686\) −2.05918e8 + 1.18887e8i −0.637855 + 0.368266i
\(687\) 2.91606e8 1.76507e8i 0.899346 0.544367i
\(688\) 4.50231e7 7.79823e7i 0.138251 0.239459i
\(689\) 2.90843e8 + 1.67919e8i 0.889204 + 0.513382i
\(690\) −1.87767e8 3.10208e8i −0.571572 0.944291i
\(691\) 2.34528e8 + 4.06214e8i 0.710822 + 1.23118i 0.964549 + 0.263903i \(0.0850100\pi\)
−0.253728 + 0.967276i \(0.581657\pi\)
\(692\) 7.18176e7i 0.216727i
\(693\) −6.16116e6 1.48712e8i −0.0185124 0.446833i
\(694\) 3.10288e8 0.928295
\(695\) 3.08669e8 1.78210e8i 0.919471 0.530857i
\(696\) −2.50436e6 1.20947e8i −0.00742794 0.358730i
\(697\) −1.22207e8 + 2.11670e8i −0.360910 + 0.625115i
\(698\) 8.42551e7 + 4.86447e7i 0.247759 + 0.143044i
\(699\) 2.13782e8 3.88647e8i 0.625951 1.13795i
\(700\) 1.76236e7 + 3.05250e7i 0.0513808 + 0.0889942i
\(701\) 5.94604e7i 0.172613i 0.996269 + 0.0863065i \(0.0275064\pi\)
−0.996269 + 0.0863065i \(0.972494\pi\)
\(702\) −2.25371e8 + 1.40158e7i −0.651459 + 0.0405141i
\(703\) −3.66978e8 −1.05627
\(704\) −1.77543e7 + 1.02504e7i −0.0508844 + 0.0293781i
\(705\) 3.39782e8 + 1.86903e8i 0.969691 + 0.533396i
\(706\) −2.04215e7 + 3.53711e7i −0.0580329 + 0.100516i
\(707\) −3.18295e8 1.83768e8i −0.900682 0.520009i
\(708\) −4.59983e7 + 952451.i −0.129611 + 0.00268375i
\(709\) −3.34021e8 5.78541e8i −0.937206 1.62329i −0.770652 0.637256i \(-0.780070\pi\)
−0.166553 0.986032i \(-0.553264\pi\)
\(710\) 1.16805e8i 0.326353i
\(711\) −4.27207e7 + 8.16215e7i −0.118858 + 0.227089i
\(712\) −7.47838e7 −0.207189
\(713\) −7.52944e8 + 4.34713e8i −2.07728 + 1.19932i
\(714\) −1.75957e8 + 1.06506e8i −0.483407 + 0.292603i
\(715\) −7.02144e7 + 1.21615e8i −0.192091 + 0.332712i
\(716\) −2.15453e7 1.24392e7i −0.0586968 0.0338886i
\(717\) 1.36427e8 + 2.25390e8i 0.370120 + 0.611473i
\(718\) −4.58836e6 7.94728e6i −0.0123961 0.0214706i
\(719\) 6.40752e8i 1.72387i −0.507022 0.861933i \(-0.669254\pi\)
0.507022 0.861933i \(-0.330746\pi\)
\(720\) −6.97806e7 + 4.42370e7i −0.186955 + 0.118519i
\(721\) 3.45130e8 0.920824
\(722\) 4.98031e8 2.87538e8i 1.32326 0.763983i
\(723\) −8.23909e6 3.97904e8i −0.0218004 1.05284i
\(724\) 6.57114e7 1.13815e8i 0.173151 0.299906i
\(725\) 7.23498e7 + 4.17712e7i 0.189856 + 0.109613i
\(726\) 1.01596e8 1.84697e8i 0.265501 0.482670i
\(727\) −1.64639e8 2.85164e8i −0.428480 0.742149i 0.568259 0.822850i \(-0.307617\pi\)
−0.996738 + 0.0807013i \(0.974284\pi\)
\(728\) 1.19802e8i 0.310505i
\(729\) −3.84435e8 + 4.80016e7i −0.992295 + 0.123900i
\(730\) 1.51578e8 0.389645
\(731\) −3.14255e8 + 1.81435e8i −0.804508 + 0.464483i
\(732\) −2.02113e8 1.11176e8i −0.515300 0.283450i
\(733\) −1.81298e8 + 3.14017e8i −0.460342 + 0.797335i −0.998978 0.0452035i \(-0.985606\pi\)
0.538636 + 0.842538i \(0.318940\pi\)
\(734\) −1.06450e8 6.14592e7i −0.269190 0.155417i
\(735\) 3.33201e7 689933.i 0.0839158 0.00173758i
\(736\) 6.21271e7 + 1.07607e8i 0.155829 + 0.269904i
\(737\) 2.54810e8i 0.636522i
\(738\) 1.30779e8 + 2.06294e8i 0.325364 + 0.513237i
\(739\) 1.76953e7 0.0438454 0.0219227 0.999760i \(-0.493021\pi\)
0.0219227 + 0.999760i \(0.493021\pi\)
\(740\) 9.23039e7 5.32917e7i 0.227785 0.131512i
\(741\) −5.71232e8 + 3.45762e8i −1.40397 + 0.849813i
\(742\) 1.52852e8 2.64747e8i 0.374162 0.648067i
\(743\) 1.11712e8 + 6.44967e7i 0.272353 + 0.157243i 0.629956 0.776631i \(-0.283073\pi\)
−0.357604 + 0.933873i \(0.616406\pi\)
\(744\) 1.02580e8 + 1.69472e8i 0.249084 + 0.411510i
\(745\) 5.05722e7 + 8.75936e7i 0.122305 + 0.211838i
\(746\) 3.43565e8i 0.827546i
\(747\) −4.45474e7 2.33161e7i −0.106871 0.0559364i
\(748\) 8.26150e7 0.197403
\(749\) 1.71617e8 9.90834e7i 0.408429 0.235806i
\(750\) −6.64920e6 3.21121e8i −0.0157611 0.761176i
\(751\) 1.68815e8 2.92395e8i 0.398557 0.690321i −0.594991 0.803732i \(-0.702845\pi\)
0.993548 + 0.113411i \(0.0361778\pi\)
\(752\) −1.15081e8 6.64423e7i −0.270615 0.156240i
\(753\) −1.71102e8 + 3.11056e8i −0.400747 + 0.728540i
\(754\) 1.41976e8 + 2.45910e8i 0.331208 + 0.573669i
\(755\) 1.76964e8i 0.411192i
\(756\) 1.27582e7 + 2.05150e8i 0.0295274 + 0.474794i
\(757\) −9.58119e7 −0.220868 −0.110434 0.993883i \(-0.535224\pi\)
−0.110434 + 0.993883i \(0.535224\pi\)
\(758\) 9.85290e7 5.68857e7i 0.226233 0.130616i
\(759\) 3.17484e8 + 1.74638e8i 0.726099 + 0.399404i
\(760\) −1.22158e8 + 2.11584e8i −0.278280 + 0.481995i
\(761\) −2.89801e8