Properties

Label 43.7.d.a.7.1
Level 43
Weight 7
Character 43.7
Analytic conductor 9.892
Analytic rank 0
Dimension 42
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.d (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(42\)
Relative dimension: \(21\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 7.1
Character \(\chi\) \(=\) 43.7
Dual form 43.7.d.a.37.21

$q$-expansion

\(f(q)\) \(=\) \(q-15.1507i q^{2} +(15.3614 - 8.86889i) q^{3} -165.545 q^{4} +(63.9718 - 36.9341i) q^{5} +(-134.370 - 232.736i) q^{6} +(-298.109 - 172.114i) q^{7} +1538.48i q^{8} +(-207.186 + 358.856i) q^{9} +O(q^{10})\) \(q-15.1507i q^{2} +(15.3614 - 8.86889i) q^{3} -165.545 q^{4} +(63.9718 - 36.9341i) q^{5} +(-134.370 - 232.736i) q^{6} +(-298.109 - 172.114i) q^{7} +1538.48i q^{8} +(-207.186 + 358.856i) q^{9} +(-559.579 - 969.219i) q^{10} -1171.40 q^{11} +(-2542.99 + 1468.20i) q^{12} +(642.173 - 1112.28i) q^{13} +(-2607.65 + 4516.58i) q^{14} +(655.129 - 1134.72i) q^{15} +12714.2 q^{16} +(1587.56 - 2749.73i) q^{17} +(5436.94 + 3139.02i) q^{18} +(5769.57 - 3331.06i) q^{19} +(-10590.2 + 6114.25i) q^{20} -6105.82 q^{21} +17747.6i q^{22} +(-7350.54 - 12731.5i) q^{23} +(13644.6 + 23633.1i) q^{24} +(-5084.24 + 8806.16i) q^{25} +(-16851.8 - 9729.39i) q^{26} +20280.9i q^{27} +(49350.4 + 28492.5i) q^{28} +(3269.02 + 1887.37i) q^{29} +(-17191.8 - 9925.68i) q^{30} +(-29197.4 - 50571.3i) q^{31} -94166.8i q^{32} +(-17994.4 + 10389.1i) q^{33} +(-41660.4 - 24052.6i) q^{34} -25427.4 q^{35} +(34298.5 - 59406.8i) q^{36} +(-22487.0 + 12982.9i) q^{37} +(-50468.0 - 87413.2i) q^{38} -22781.4i q^{39} +(56822.3 + 98419.1i) q^{40} +26952.4 q^{41} +92507.6i q^{42} +(79186.0 - 7137.46i) q^{43} +193920. q^{44} +30608.9i q^{45} +(-192892. + 111366. i) q^{46} -198596. q^{47} +(195307. - 112761. i) q^{48} +(421.621 + 730.269i) q^{49} +(133420. + 77030.0i) q^{50} -56319.4i q^{51} +(-106308. + 184131. i) q^{52} +(-120372. - 208490. i) q^{53} +307270. q^{54} +(-74936.8 + 43264.8i) q^{55} +(264793. - 458634. i) q^{56} +(59085.6 - 102339. i) q^{57} +(28595.0 - 49528.0i) q^{58} +163320. q^{59} +(-108453. + 187846. i) q^{60} +(266231. + 153708. i) q^{61} +(-766193. + 442362. i) q^{62} +(123528. - 71318.9i) q^{63} -612988. q^{64} -94872.4i q^{65} +(157402. + 272628. i) q^{66} +(-145518. - 252044. i) q^{67} +(-262811. + 455203. i) q^{68} +(-225829. - 130382. i) q^{69} +385244. i q^{70} +(500666. + 289060. i) q^{71} +(-552092. - 318750. i) q^{72} +(9585.49 + 5534.19i) q^{73} +(196700. + 340694. i) q^{74} +180366. i q^{75} +(-955122. + 551440. i) q^{76} +(349207. + 201615. i) q^{77} -345156. q^{78} +(348781. - 604107. i) q^{79} +(813349. - 469587. i) q^{80} +(28830.2 + 49935.4i) q^{81} -408349. i q^{82} +(94634.3 + 163911. i) q^{83} +1.01079e6 q^{84} -234540. i q^{85} +(-108138. - 1.19973e6i) q^{86} +66955.4 q^{87} -1.80218e6i q^{88} +(423625. - 244580. i) q^{89} +463747. q^{90} +(-382876. + 221053. i) q^{91} +(1.21684e6 + 2.10764e6i) q^{92} +(-897023. - 517896. i) q^{93} +3.00888e6i q^{94} +(246060. - 426188. i) q^{95} +(-835154. - 1.44653e6i) q^{96} +895486. q^{97} +(11064.1 - 6387.87i) q^{98} +(242698. - 420366. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 42q - 3q^{3} - 1194q^{4} - 3q^{5} + 111q^{6} - 147q^{7} + 3852q^{9} + O(q^{10}) \) \( 42q - 3q^{3} - 1194q^{4} - 3q^{5} + 111q^{6} - 147q^{7} + 3852q^{9} - 981q^{10} - 4104q^{11} + 918q^{12} + 4843q^{13} + 2814q^{14} - 163q^{15} + 36678q^{16} + 3641q^{17} - 507q^{18} - 5229q^{19} - 1599q^{20} - 29990q^{21} + 6575q^{23} - 4622q^{24} + 68484q^{25} + 189q^{26} + 48948q^{28} + 95361q^{29} - 85041q^{30} - 79373q^{31} - 79638q^{33} - 184743q^{34} - 80582q^{35} + 59972q^{36} - 66063q^{37} - 69820q^{38} + 189951q^{40} + 40632q^{41} - 368728q^{43} + 130330q^{44} + 34056q^{46} - 247820q^{47} + 326907q^{48} - 21876q^{49} - 28638q^{50} - 617150q^{52} + 11639q^{53} + 655904q^{54} - 43638q^{55} + 553875q^{56} - 422859q^{57} + 587796q^{58} - 649352q^{59} + 875455q^{60} - 52251q^{61} + 1335249q^{62} + 93690q^{63} - 792420q^{64} + 160395q^{66} - 173603q^{67} + 22286q^{68} + 870417q^{69} + 1670505q^{71} - 2068518q^{72} - 2646201q^{73} - 1625030q^{74} - 80622q^{76} - 486066q^{77} + 2835040q^{78} + 1897639q^{79} - 817059q^{80} + 2215367q^{81} + 1584059q^{83} - 824560q^{84} - 2333682q^{86} - 5547198q^{87} + 2736939q^{89} + 1092196q^{90} - 3724131q^{91} + 470257q^{92} + 488433q^{93} - 1289839q^{95} + 1697650q^{96} + 5260848q^{97} + 4722621q^{98} + 1375834q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 15.1507i 1.89384i −0.321467 0.946921i \(-0.604176\pi\)
0.321467 0.946921i \(-0.395824\pi\)
\(3\) 15.3614 8.86889i 0.568939 0.328477i −0.187786 0.982210i \(-0.560131\pi\)
0.756726 + 0.653733i \(0.226798\pi\)
\(4\) −165.545 −2.58664
\(5\) 63.9718 36.9341i 0.511774 0.295473i −0.221788 0.975095i \(-0.571189\pi\)
0.733563 + 0.679622i \(0.237856\pi\)
\(6\) −134.370 232.736i −0.622084 1.07748i
\(7\) −298.109 172.114i −0.869123 0.501789i −0.00206660 0.999998i \(-0.500658\pi\)
−0.867057 + 0.498209i \(0.833991\pi\)
\(8\) 1538.48i 3.00484i
\(9\) −207.186 + 358.856i −0.284205 + 0.492258i
\(10\) −559.579 969.219i −0.559579 0.969219i
\(11\) −1171.40 −0.880094 −0.440047 0.897975i \(-0.645038\pi\)
−0.440047 + 0.897975i \(0.645038\pi\)
\(12\) −2542.99 + 1468.20i −1.47164 + 0.849651i
\(13\) 642.173 1112.28i 0.292295 0.506271i −0.682057 0.731299i \(-0.738914\pi\)
0.974352 + 0.225029i \(0.0722476\pi\)
\(14\) −2607.65 + 4516.58i −0.950308 + 1.64598i
\(15\) 655.129 1134.72i 0.194112 0.336212i
\(16\) 12714.2 3.10405
\(17\) 1587.56 2749.73i 0.323134 0.559684i −0.657999 0.753019i \(-0.728597\pi\)
0.981133 + 0.193335i \(0.0619303\pi\)
\(18\) 5436.94 + 3139.02i 0.932259 + 0.538240i
\(19\) 5769.57 3331.06i 0.841168 0.485648i −0.0164933 0.999864i \(-0.505250\pi\)
0.857661 + 0.514216i \(0.171917\pi\)
\(20\) −10590.2 + 6114.25i −1.32377 + 0.764281i
\(21\) −6105.82 −0.659305
\(22\) 17747.6i 1.66676i
\(23\) −7350.54 12731.5i −0.604138 1.04640i −0.992187 0.124759i \(-0.960184\pi\)
0.388049 0.921639i \(-0.373149\pi\)
\(24\) 13644.6 + 23633.1i 0.987021 + 1.70957i
\(25\) −5084.24 + 8806.16i −0.325391 + 0.563594i
\(26\) −16851.8 9729.39i −0.958796 0.553561i
\(27\) 20280.9i 1.03037i
\(28\) 49350.4 + 28492.5i 2.24811 + 1.29794i
\(29\) 3269.02 + 1887.37i 0.134037 + 0.0773860i 0.565519 0.824735i \(-0.308676\pi\)
−0.431482 + 0.902121i \(0.642009\pi\)
\(30\) −17191.8 9925.68i −0.636733 0.367618i
\(31\) −29197.4 50571.3i −0.980074 1.69754i −0.662060 0.749451i \(-0.730318\pi\)
−0.318014 0.948086i \(-0.603016\pi\)
\(32\) 94166.8i 2.87374i
\(33\) −17994.4 + 10389.1i −0.500720 + 0.289091i
\(34\) −41660.4 24052.6i −1.05995 0.611964i
\(35\) −25427.4 −0.593060
\(36\) 34298.5 59406.8i 0.735136 1.27329i
\(37\) −22487.0 + 12982.9i −0.443941 + 0.256310i −0.705268 0.708941i \(-0.749173\pi\)
0.261327 + 0.965250i \(0.415840\pi\)
\(38\) −50468.0 87413.2i −0.919741 1.59304i
\(39\) 22781.4i 0.384050i
\(40\) 56822.3 + 98419.1i 0.887848 + 1.53780i
\(41\) 26952.4 0.391063 0.195531 0.980697i \(-0.437357\pi\)
0.195531 + 0.980697i \(0.437357\pi\)
\(42\) 92507.6i 1.24862i
\(43\) 79186.0 7137.46i 0.995962 0.0897715i
\(44\) 193920. 2.27648
\(45\) 30608.9i 0.335900i
\(46\) −192892. + 111366.i −1.98171 + 1.14414i
\(47\) −198596. −1.91283 −0.956416 0.292006i \(-0.905677\pi\)
−0.956416 + 0.292006i \(0.905677\pi\)
\(48\) 195307. 112761.i 1.76602 1.01961i
\(49\) 421.621 + 730.269i 0.00358372 + 0.00620719i
\(50\) 133420. + 77030.0i 1.06736 + 0.616240i
\(51\) 56319.4i 0.424568i
\(52\) −106308. + 184131.i −0.756062 + 1.30954i
\(53\) −120372. 208490.i −0.808531 1.40042i −0.913881 0.405981i \(-0.866930\pi\)
0.105350 0.994435i \(-0.466404\pi\)
\(54\) 307270. 1.95137
\(55\) −74936.8 + 43264.8i −0.450409 + 0.260044i
\(56\) 264793. 458634.i 1.50779 2.61157i
\(57\) 59085.6 102339.i 0.319049 0.552609i
\(58\) 28595.0 49528.0i 0.146557 0.253844i
\(59\) 163320. 0.795213 0.397607 0.917556i \(-0.369841\pi\)
0.397607 + 0.917556i \(0.369841\pi\)
\(60\) −108453. + 187846.i −0.502098 + 0.869659i
\(61\) 266231. + 153708.i 1.17292 + 0.677187i 0.954366 0.298638i \(-0.0965323\pi\)
0.218555 + 0.975825i \(0.429866\pi\)
\(62\) −766193. + 442362.i −3.21487 + 1.85610i
\(63\) 123528. 71318.9i 0.494019 0.285222i
\(64\) −612988. −2.33836
\(65\) 94872.4i 0.345462i
\(66\) 157402. + 272628.i 0.547492 + 0.948284i
\(67\) −145518. 252044.i −0.483828 0.838015i 0.515999 0.856589i \(-0.327421\pi\)
−0.999827 + 0.0185740i \(0.994087\pi\)
\(68\) −262811. + 455203.i −0.835829 + 1.44770i
\(69\) −225829. 130382.i −0.687435 0.396891i
\(70\) 385244.i 1.12316i
\(71\) 500666. + 289060.i 1.39886 + 0.807630i 0.994273 0.106871i \(-0.0340832\pi\)
0.404583 + 0.914501i \(0.367417\pi\)
\(72\) −552092. 318750.i −1.47916 0.853991i
\(73\) 9585.49 + 5534.19i 0.0246403 + 0.0142261i 0.512270 0.858825i \(-0.328805\pi\)
−0.487629 + 0.873051i \(0.662138\pi\)
\(74\) 196700. + 340694.i 0.485410 + 0.840755i
\(75\) 180366.i 0.427535i
\(76\) −955122. + 551440.i −2.17579 + 1.25620i
\(77\) 349207. + 201615.i 0.764910 + 0.441621i
\(78\) −345156. −0.727329
\(79\) 348781. 604107.i 0.707411 1.22527i −0.258404 0.966037i \(-0.583196\pi\)
0.965814 0.259234i \(-0.0834702\pi\)
\(80\) 813349. 469587.i 1.58857 0.917163i
\(81\) 28830.2 + 49935.4i 0.0542491 + 0.0939622i
\(82\) 408349.i 0.740610i
\(83\) 94634.3 + 163911.i 0.165506 + 0.286665i 0.936835 0.349772i \(-0.113741\pi\)
−0.771329 + 0.636437i \(0.780408\pi\)
\(84\) 1.01079e6 1.70538
\(85\) 234540.i 0.381909i
\(86\) −108138. 1.19973e6i −0.170013 1.88620i
\(87\) 66955.4 0.101678
\(88\) 1.80218e6i 2.64454i
\(89\) 423625. 244580.i 0.600914 0.346938i −0.168487 0.985704i \(-0.553888\pi\)
0.769401 + 0.638766i \(0.220555\pi\)
\(90\) 463747. 0.636142
\(91\) −382876. + 221053.i −0.508082 + 0.293341i
\(92\) 1.21684e6 + 2.10764e6i 1.56268 + 2.70665i
\(93\) −897023. 517896.i −1.11520 0.643864i
\(94\) 3.00888e6i 3.62260i
\(95\) 246060. 426188.i 0.286992 0.497085i
\(96\) −835154. 1.44653e6i −0.943959 1.63498i
\(97\) 895486. 0.981169 0.490584 0.871394i \(-0.336783\pi\)
0.490584 + 0.871394i \(0.336783\pi\)
\(98\) 11064.1 6387.87i 0.0117554 0.00678700i
\(99\) 242698. 420366.i 0.250127 0.433233i
\(100\) 841669. 1.45781e6i 0.841669 1.45781i
\(101\) 496645. 860215.i 0.482039 0.834916i −0.517749 0.855533i \(-0.673230\pi\)
0.999787 + 0.0206169i \(0.00656304\pi\)
\(102\) −853280. −0.804065
\(103\) −621056. + 1.07570e6i −0.568354 + 0.984419i 0.428375 + 0.903601i \(0.359086\pi\)
−0.996729 + 0.0808173i \(0.974247\pi\)
\(104\) 1.71121e6 + 987968.i 1.52126 + 0.878300i
\(105\) −390600. + 225513.i −0.337415 + 0.194807i
\(106\) −3.15877e6 + 1.82372e6i −2.65217 + 1.53123i
\(107\) 78155.5 0.0637982 0.0318991 0.999491i \(-0.489844\pi\)
0.0318991 + 0.999491i \(0.489844\pi\)
\(108\) 3.35739e6i 2.66520i
\(109\) 517811. + 896874.i 0.399845 + 0.692551i 0.993706 0.112016i \(-0.0357307\pi\)
−0.593862 + 0.804567i \(0.702397\pi\)
\(110\) 655493. + 1.13535e6i 0.492482 + 0.853004i
\(111\) −230287. + 398869.i −0.168384 + 0.291649i
\(112\) −3.79022e6 2.18828e6i −2.69780 1.55758i
\(113\) 1.19444e6i 0.827804i −0.910322 0.413902i \(-0.864166\pi\)
0.910322 0.413902i \(-0.135834\pi\)
\(114\) −1.55052e6 895190.i −1.04655 0.604228i
\(115\) −940455. 542972.i −0.618364 0.357013i
\(116\) −541169. 312444.i −0.346704 0.200170i
\(117\) 266098. + 460896.i 0.166144 + 0.287770i
\(118\) 2.47442e6i 1.50601i
\(119\) −946530. + 546479.i −0.561686 + 0.324290i
\(120\) 1.74574e6 + 1.00790e6i 1.01026 + 0.583276i
\(121\) −399373. −0.225435
\(122\) 2.32880e6 4.03359e6i 1.28248 2.22133i
\(123\) 414026. 239038.i 0.222491 0.128455i
\(124\) 4.83347e6 + 8.37182e6i 2.53509 + 4.39091i
\(125\) 1.90532e6i 0.975523i
\(126\) −1.08053e6 1.87154e6i −0.540166 0.935594i
\(127\) −2.33602e6 −1.14042 −0.570211 0.821498i \(-0.693139\pi\)
−0.570211 + 0.821498i \(0.693139\pi\)
\(128\) 3.26054e6i 1.55475i
\(129\) 1.15310e6 811932.i 0.537154 0.378225i
\(130\) −1.43739e6 −0.654250
\(131\) 239232.i 0.106416i 0.998583 + 0.0532078i \(0.0169446\pi\)
−0.998583 + 0.0532078i \(0.983055\pi\)
\(132\) 2.97887e6 1.71985e6i 1.29518 0.747772i
\(133\) −2.29328e6 −0.974771
\(134\) −3.81865e6 + 2.20470e6i −1.58707 + 0.916294i
\(135\) 749056. + 1.29740e6i 0.304448 + 0.527319i
\(136\) 4.23039e6 + 2.44242e6i 1.68176 + 0.970964i
\(137\) 1.36946e6i 0.532582i −0.963893 0.266291i \(-0.914202\pi\)
0.963893 0.266291i \(-0.0857981\pi\)
\(138\) −1.97539e6 + 3.42147e6i −0.751649 + 1.30189i
\(139\) 569254. + 985977.i 0.211964 + 0.367132i 0.952329 0.305073i \(-0.0986808\pi\)
−0.740365 + 0.672205i \(0.765347\pi\)
\(140\) 4.20938e6 1.53403
\(141\) −3.05071e6 + 1.76133e6i −1.08829 + 0.628322i
\(142\) 4.37947e6 7.58546e6i 1.52952 2.64921i
\(143\) −752245. + 1.30293e6i −0.257247 + 0.445565i
\(144\) −2.63420e6 + 4.56257e6i −0.882188 + 1.52799i
\(145\) 278833. 0.0914619
\(146\) 83847.0 145227.i 0.0269419 0.0466648i
\(147\) 12953.3 + 7478.62i 0.00407784 + 0.00235434i
\(148\) 3.72260e6 2.14924e6i 1.14831 0.662980i
\(149\) −734887. + 424287.i −0.222158 + 0.128263i −0.606949 0.794741i \(-0.707607\pi\)
0.384791 + 0.923004i \(0.374273\pi\)
\(150\) 2.73268e6 0.809683
\(151\) 3.95092e6i 1.14754i −0.819017 0.573770i \(-0.805480\pi\)
0.819017 0.573770i \(-0.194520\pi\)
\(152\) 5.12476e6 + 8.87635e6i 1.45929 + 2.52757i
\(153\) 657838. + 1.13941e6i 0.183673 + 0.318130i
\(154\) 3.05461e6 5.29074e6i 0.836360 1.44862i
\(155\) −3.73562e6 2.15676e6i −1.00315 0.579170i
\(156\) 3.77135e6i 0.993397i
\(157\) 677236. + 391002.i 0.175001 + 0.101037i 0.584942 0.811075i \(-0.301117\pi\)
−0.409941 + 0.912112i \(0.634451\pi\)
\(158\) −9.15266e6 5.28429e6i −2.32047 1.33972i
\(159\) −3.69814e6 2.13512e6i −0.920010 0.531168i
\(160\) −3.47797e6 6.02402e6i −0.849113 1.47071i
\(161\) 5.06051e6i 1.21260i
\(162\) 756558. 436799.i 0.177950 0.102739i
\(163\) 4.01220e6 + 2.31644e6i 0.926445 + 0.534883i 0.885685 0.464286i \(-0.153689\pi\)
0.0407593 + 0.999169i \(0.487022\pi\)
\(164\) −4.46183e6 −1.01154
\(165\) −767421. + 1.32921e6i −0.170837 + 0.295898i
\(166\) 2.48338e6 1.43378e6i 0.542898 0.313443i
\(167\) −3.84335e6 6.65688e6i −0.825203 1.42929i −0.901764 0.432229i \(-0.857727\pi\)
0.0765608 0.997065i \(-0.475606\pi\)
\(168\) 9.39366e6i 1.98110i
\(169\) 1.58863e6 + 2.75159e6i 0.329127 + 0.570064i
\(170\) −3.55345e6 −0.723275
\(171\) 2.76059e6i 0.552096i
\(172\) −1.31088e7 + 1.18157e6i −2.57619 + 0.232206i
\(173\) 2.74566e6 0.530283 0.265142 0.964209i \(-0.414581\pi\)
0.265142 + 0.964209i \(0.414581\pi\)
\(174\) 1.01442e6i 0.192562i
\(175\) 3.03132e6 1.75013e6i 0.565611 0.326555i
\(176\) −1.48935e7 −2.73185
\(177\) 2.50882e6 1.44847e6i 0.452428 0.261209i
\(178\) −3.70557e6 6.41824e6i −0.657045 1.13804i
\(179\) 9.12503e6 + 5.26834e6i 1.59102 + 0.918575i 0.993133 + 0.116993i \(0.0373254\pi\)
0.597885 + 0.801582i \(0.296008\pi\)
\(180\) 5.06714e6i 0.868851i
\(181\) −5.75180e6 + 9.96241e6i −0.969991 + 1.68007i −0.274431 + 0.961607i \(0.588490\pi\)
−0.695560 + 0.718468i \(0.744844\pi\)
\(182\) 3.34912e6 + 5.80085e6i 0.555542 + 0.962226i
\(183\) 5.45289e6 0.889761
\(184\) 1.95871e7 1.13086e7i 3.14425 1.81534i
\(185\) −959020. + 1.66107e6i −0.151465 + 0.262345i
\(186\) −7.84651e6 + 1.35905e7i −1.21938 + 2.11202i
\(187\) −1.85967e6 + 3.22104e6i −0.284388 + 0.492574i
\(188\) 3.28765e7 4.94780
\(189\) 3.49061e6 6.04591e6i 0.517030 0.895523i
\(190\) −6.45706e6 3.72799e6i −0.941400 0.543517i
\(191\) 1.00169e7 5.78326e6i 1.43758 0.829990i 0.439903 0.898046i \(-0.355013\pi\)
0.997682 + 0.0680560i \(0.0216796\pi\)
\(192\) −9.41632e6 + 5.43652e6i −1.33039 + 0.768099i
\(193\) 3.60963e6 0.502101 0.251050 0.967974i \(-0.419224\pi\)
0.251050 + 0.967974i \(0.419224\pi\)
\(194\) 1.35673e7i 1.85818i
\(195\) −841412. 1.45737e6i −0.113476 0.196547i
\(196\) −69797.1 120892.i −0.00926978 0.0160557i
\(197\) −5.71614e6 + 9.90065e6i −0.747661 + 1.29499i 0.201281 + 0.979534i \(0.435490\pi\)
−0.948941 + 0.315453i \(0.897844\pi\)
\(198\) −6.36885e6 3.67706e6i −0.820475 0.473702i
\(199\) 5.61273e6i 0.712221i −0.934444 0.356110i \(-0.884103\pi\)
0.934444 0.356110i \(-0.115897\pi\)
\(200\) −1.35481e7 7.82199e6i −1.69351 0.977748i
\(201\) −4.47070e6 2.58116e6i −0.550538 0.317853i
\(202\) −1.30329e7 7.52454e6i −1.58120 0.912905i
\(203\) −649683. 1.12528e6i −0.0776629 0.134516i
\(204\) 9.32338e6i 1.09820i
\(205\) 1.72419e6 995464.i 0.200136 0.115548i
\(206\) 1.62977e7 + 9.40946e6i 1.86433 + 1.07637i
\(207\) 6.09171e6 0.686797
\(208\) 8.16471e6 1.41417e7i 0.907300 1.57149i
\(209\) −6.75850e6 + 3.90202e6i −0.740306 + 0.427416i
\(210\) 3.41669e6 + 5.91788e6i 0.368933 + 0.639011i
\(211\) 7.60059e6i 0.809096i −0.914517 0.404548i \(-0.867429\pi\)
0.914517 0.404548i \(-0.132571\pi\)
\(212\) 1.99269e7 + 3.45144e7i 2.09138 + 3.62237i
\(213\) 1.02545e7 1.06115
\(214\) 1.18411e6i 0.120824i
\(215\) 4.80205e6 3.38126e6i 0.483183 0.340223i
\(216\) −3.12016e7 −3.09611
\(217\) 2.01010e7i 1.96716i
\(218\) 1.35883e7 7.84521e6i 1.31158 0.757243i
\(219\) 196328. 0.0186918
\(220\) 1.24054e7 7.16226e6i 1.16504 0.672639i
\(221\) −2.03897e6 3.53160e6i −0.188901 0.327186i
\(222\) 6.04315e6 + 3.48901e6i 0.552337 + 0.318892i
\(223\) 1.74335e6i 0.157206i −0.996906 0.0786030i \(-0.974954\pi\)
0.996906 0.0786030i \(-0.0250460\pi\)
\(224\) −1.62074e7 + 2.80720e7i −1.44201 + 2.49764i
\(225\) −2.10676e6 3.64902e6i −0.184956 0.320353i
\(226\) −1.80966e7 −1.56773
\(227\) 1.15973e6 669570.i 0.0991469 0.0572425i −0.449607 0.893227i \(-0.648436\pi\)
0.548754 + 0.835984i \(0.315103\pi\)
\(228\) −9.78131e6 + 1.69417e7i −0.825263 + 1.42940i
\(229\) −3.66746e6 + 6.35222e6i −0.305393 + 0.528955i −0.977349 0.211636i \(-0.932121\pi\)
0.671956 + 0.740591i \(0.265454\pi\)
\(230\) −8.22642e6 + 1.42486e7i −0.676126 + 1.17108i
\(231\) 7.15238e6 0.580250
\(232\) −2.90367e6 + 5.02931e6i −0.232532 + 0.402758i
\(233\) −1.02503e7 5.91799e6i −0.810340 0.467850i 0.0367338 0.999325i \(-0.488305\pi\)
−0.847074 + 0.531475i \(0.821638\pi\)
\(234\) 6.98291e6 4.03158e6i 0.544990 0.314650i
\(235\) −1.27045e7 + 7.33497e6i −0.978939 + 0.565190i
\(236\) −2.70368e7 −2.05693
\(237\) 1.23732e7i 0.929473i
\(238\) 8.27956e6 + 1.43406e7i 0.614153 + 1.06374i
\(239\) −1.10330e7 1.91098e7i −0.808167 1.39979i −0.914132 0.405416i \(-0.867127\pi\)
0.105966 0.994370i \(-0.466207\pi\)
\(240\) 8.32943e6 1.44270e7i 0.602534 1.04362i
\(241\) 4.78634e6 + 2.76339e6i 0.341942 + 0.197420i 0.661130 0.750271i \(-0.270077\pi\)
−0.319189 + 0.947691i \(0.603410\pi\)
\(242\) 6.05079e6i 0.426939i
\(243\) −1.19182e7 6.88099e6i −0.830602 0.479548i
\(244\) −4.40731e7 2.54456e7i −3.03392 1.75164i
\(245\) 53943.7 + 31144.4i 0.00366811 + 0.00211779i
\(246\) −3.62160e6 6.27279e6i −0.243274 0.421362i
\(247\) 8.55647e6i 0.567811i
\(248\) 7.78028e7 4.49195e7i 5.10082 2.94496i
\(249\) 2.90742e6 + 1.67860e6i 0.188326 + 0.108730i
\(250\) 2.88670e7 1.84749
\(251\) 1.97528e6 3.42128e6i 0.124913 0.216356i −0.796786 0.604262i \(-0.793468\pi\)
0.921699 + 0.387906i \(0.126802\pi\)
\(252\) −2.04494e7 + 1.18065e7i −1.27785 + 0.737766i
\(253\) 8.61046e6 + 1.49138e7i 0.531698 + 0.920928i
\(254\) 3.53924e7i 2.15978i
\(255\) −2.08011e6 3.60285e6i −0.125448 0.217283i
\(256\) 1.01683e7 0.606079
\(257\) 7.57008e6i 0.445965i −0.974822 0.222983i \(-0.928421\pi\)
0.974822 0.222983i \(-0.0715794\pi\)
\(258\) −1.23014e7 1.74704e7i −0.716299 1.01728i
\(259\) 8.93810e6 0.514453
\(260\) 1.57056e7i 0.893584i
\(261\) −1.35459e6 + 782072.i −0.0761878 + 0.0439871i
\(262\) 3.62454e6 0.201534
\(263\) −8.11313e6 + 4.68412e6i −0.445986 + 0.257490i −0.706133 0.708079i \(-0.749562\pi\)
0.260147 + 0.965569i \(0.416229\pi\)
\(264\) −1.59833e7 2.76839e7i −0.868670 1.50458i
\(265\) −1.54008e7 8.89164e6i −0.827571 0.477798i
\(266\) 3.47449e7i 1.84606i
\(267\) 4.33831e6 7.51417e6i 0.227922 0.394773i
\(268\) 2.40897e7 + 4.17245e7i 1.25149 + 2.16764i
\(269\) 3.00182e6 0.154215 0.0771077 0.997023i \(-0.475431\pi\)
0.0771077 + 0.997023i \(0.475431\pi\)
\(270\) 1.96566e7 1.13487e7i 0.998659 0.576576i
\(271\) −624680. + 1.08198e6i −0.0313870 + 0.0543639i −0.881292 0.472572i \(-0.843326\pi\)
0.849905 + 0.526936i \(0.176659\pi\)
\(272\) 2.01845e7 3.49605e7i 1.00302 1.73729i
\(273\) −3.92099e6 + 6.79136e6i −0.192712 + 0.333787i
\(274\) −2.07483e7 −1.00863
\(275\) 5.95570e6 1.03156e7i 0.286375 0.496016i
\(276\) 3.73847e7 + 2.15841e7i 1.77815 + 1.02661i
\(277\) −2.91712e7 + 1.68420e7i −1.37251 + 0.792418i −0.991243 0.132048i \(-0.957845\pi\)
−0.381265 + 0.924466i \(0.624511\pi\)
\(278\) 1.49383e7 8.62461e6i 0.695290 0.401426i
\(279\) 2.41971e7 1.11417
\(280\) 3.91195e7i 1.78205i
\(281\) 1.25507e6 + 2.17384e6i 0.0565650 + 0.0979734i 0.892921 0.450213i \(-0.148652\pi\)
−0.836356 + 0.548186i \(0.815319\pi\)
\(282\) 2.66854e7 + 4.62204e7i 1.18994 + 2.06104i
\(283\) −1.16382e7 + 2.01580e7i −0.513484 + 0.889381i 0.486393 + 0.873740i \(0.338312\pi\)
−0.999878 + 0.0156411i \(0.995021\pi\)
\(284\) −8.28826e7 4.78523e7i −3.61833 2.08905i
\(285\) 8.72910e6i 0.377081i
\(286\) 1.97403e7 + 1.13971e7i 0.843830 + 0.487186i
\(287\) −8.03477e6 4.63888e6i −0.339882 0.196231i
\(288\) 3.37923e7 + 1.95100e7i 1.41462 + 0.816733i
\(289\) 7.02812e6 + 1.21731e7i 0.291169 + 0.504320i
\(290\) 4.22453e6i 0.173214i
\(291\) 1.37559e7 7.94197e6i 0.558225 0.322292i
\(292\) −1.58683e6 916155.i −0.0637355 0.0367977i
\(293\) 1.78262e7 0.708691 0.354345 0.935115i \(-0.384704\pi\)
0.354345 + 0.935115i \(0.384704\pi\)
\(294\) 113307. 196253.i 0.00445875 0.00772278i
\(295\) 1.04479e7 6.03208e6i 0.406970 0.234964i
\(296\) −1.99738e7 3.45957e7i −0.770169 1.33397i
\(297\) 2.37571e7i 0.906826i
\(298\) 6.42826e6 + 1.11341e7i 0.242910 + 0.420732i
\(299\) −1.88813e7 −0.706347
\(300\) 2.98587e7i 1.10588i
\(301\) −2.48345e7 1.15012e7i −0.910661 0.421740i
\(302\) −5.98594e7 −2.17326
\(303\) 1.76188e7i 0.633355i
\(304\) 7.33554e7 4.23518e7i 2.61103 1.50748i
\(305\) 2.27084e7 0.800361
\(306\) 1.72629e7 9.96672e6i 0.602489 0.347847i
\(307\) −1.40587e7 2.43504e7i −0.485881 0.841571i 0.513987 0.857798i \(-0.328168\pi\)
−0.999868 + 0.0162271i \(0.994835\pi\)
\(308\) −5.78093e7 3.33762e7i −1.97854 1.14231i
\(309\) 2.20323e7i 0.746766i
\(310\) −3.26765e7 + 5.65973e7i −1.09686 + 1.89981i
\(311\) −2.27588e7 3.94193e7i −0.756602 1.31047i −0.944574 0.328299i \(-0.893525\pi\)
0.187972 0.982174i \(-0.439809\pi\)
\(312\) 3.50487e7 1.15401
\(313\) −2.58144e7 + 1.49039e7i −0.841839 + 0.486036i −0.857889 0.513835i \(-0.828224\pi\)
0.0160500 + 0.999871i \(0.494891\pi\)
\(314\) 5.92397e6 1.02606e7i 0.191348 0.331425i
\(315\) 5.26820e6 9.12480e6i 0.168551 0.291939i
\(316\) −5.77389e7 + 1.00007e8i −1.82981 + 3.16933i
\(317\) −5.61205e6 −0.176175 −0.0880873 0.996113i \(-0.528075\pi\)
−0.0880873 + 0.996113i \(0.528075\pi\)
\(318\) −3.23487e7 + 5.60296e7i −1.00595 + 1.74235i
\(319\) −3.82934e6 2.21087e6i −0.117965 0.0681070i
\(320\) −3.92139e7 + 2.26402e7i −1.19671 + 0.690923i
\(321\) 1.20057e6 693152.i 0.0362973 0.0209562i
\(322\) 7.66705e7 2.29647
\(323\) 2.11530e7i 0.627717i
\(324\) −4.77269e6 8.26654e6i −0.140323 0.243046i
\(325\) 6.52993e6 + 1.13102e7i 0.190221 + 0.329472i
\(326\) 3.50958e7 6.07877e7i 1.01298 1.75454i
\(327\) 1.59085e7 + 9.18481e6i 0.454975 + 0.262680i
\(328\) 4.14657e7i 1.17508i
\(329\) 5.92033e7 + 3.41811e7i 1.66249 + 0.959838i
\(330\) 2.01385e7 + 1.16270e7i 0.560385 + 0.323538i
\(331\) −7.65746e6 4.42103e6i −0.211155 0.121910i 0.390693 0.920521i \(-0.372235\pi\)
−0.601848 + 0.798611i \(0.705569\pi\)
\(332\) −1.56662e7 2.71347e7i −0.428104 0.741498i
\(333\) 1.07594e7i 0.291378i
\(334\) −1.00857e8 + 5.82296e7i −2.70686 + 1.56280i
\(335\) −1.86180e7 1.07491e7i −0.495222 0.285916i
\(336\) −7.76305e7 −2.04651
\(337\) −1.73029e7 + 2.99695e7i −0.452094 + 0.783050i −0.998516 0.0544601i \(-0.982656\pi\)
0.546422 + 0.837510i \(0.315990\pi\)
\(338\) 4.16886e7 2.40689e7i 1.07961 0.623314i
\(339\) −1.05933e7 1.83482e7i −0.271915 0.470970i
\(340\) 3.88268e7i 0.987860i
\(341\) 3.42019e7 + 5.92395e7i 0.862556 + 1.49399i
\(342\) 4.18250e7 1.04558
\(343\) 4.02077e7i 0.996384i
\(344\) 1.09808e7 + 1.21826e8i 0.269749 + 2.99271i
\(345\) −1.92622e7 −0.469082
\(346\) 4.15987e7i 1.00427i
\(347\) 2.21778e7 1.28044e7i 0.530800 0.306458i −0.210542 0.977585i \(-0.567523\pi\)
0.741342 + 0.671127i \(0.234190\pi\)
\(348\) −1.10841e7 −0.263005
\(349\) 2.95681e7 1.70712e7i 0.695580 0.401593i −0.110119 0.993918i \(-0.535123\pi\)
0.805699 + 0.592325i \(0.201790\pi\)
\(350\) −2.65158e7 4.59267e7i −0.618444 1.07118i
\(351\) 2.25579e7 + 1.30238e7i 0.521648 + 0.301174i
\(352\) 1.10307e8i 2.52916i
\(353\) 2.17271e7 3.76325e7i 0.493945 0.855538i −0.506031 0.862515i \(-0.668888\pi\)
0.999976 + 0.00697779i \(0.00222112\pi\)
\(354\) −2.19453e7 3.80104e7i −0.494689 0.856827i
\(355\) 4.27047e7 0.954532
\(356\) −7.01290e7 + 4.04890e7i −1.55434 + 0.897401i
\(357\) −9.69333e6 + 1.67893e7i −0.213043 + 0.369002i
\(358\) 7.98192e7 1.38251e8i 1.73963 3.01314i
\(359\) 1.87165e7 3.24179e7i 0.404521 0.700651i −0.589745 0.807590i \(-0.700772\pi\)
0.994266 + 0.106939i \(0.0341050\pi\)
\(360\) −4.70911e7 −1.00933
\(361\) −1.33099e6 + 2.30534e6i −0.0282913 + 0.0490020i
\(362\) 1.50938e8 + 8.71440e7i 3.18180 + 1.83701i
\(363\) −6.13491e6 + 3.54199e6i −0.128259 + 0.0740504i
\(364\) 6.33830e7 3.65942e7i 1.31422 0.758767i
\(365\) 817601. 0.0168137
\(366\) 8.26153e7i 1.68507i
\(367\) 2.80728e7 + 4.86235e7i 0.567920 + 0.983667i 0.996771 + 0.0802916i \(0.0255851\pi\)
−0.428851 + 0.903375i \(0.641082\pi\)
\(368\) −9.34562e7 1.61871e8i −1.87527 3.24807i
\(369\) −5.58416e6 + 9.67204e6i −0.111142 + 0.192504i
\(370\) 2.51665e7 + 1.45299e7i 0.496840 + 0.286851i
\(371\) 8.28704e7i 1.62285i
\(372\) 1.48497e8 + 8.57350e7i 2.88463 + 1.66544i
\(373\) 1.88413e7 + 1.08780e7i 0.363064 + 0.209615i 0.670424 0.741978i \(-0.266112\pi\)
−0.307360 + 0.951593i \(0.599446\pi\)
\(374\) 4.88011e7 + 2.81754e7i 0.932857 + 0.538585i
\(375\) 1.68981e7 + 2.92683e7i 0.320437 + 0.555014i
\(376\) 3.05535e8i 5.74775i
\(377\) 4.19855e6 2.42403e6i 0.0783566 0.0452392i
\(378\) −9.16000e7 5.28853e7i −1.69598 0.979173i
\(379\) −1.04980e7 −0.192837 −0.0964186 0.995341i \(-0.530739\pi\)
−0.0964186 + 0.995341i \(0.530739\pi\)
\(380\) −4.07339e7 + 7.05532e7i −0.742344 + 1.28578i
\(381\) −3.58845e7 + 2.07179e7i −0.648831 + 0.374603i
\(382\) −8.76206e7 1.51763e8i −1.57187 2.72256i
\(383\) 6.08536e7i 1.08315i 0.840651 + 0.541577i \(0.182173\pi\)
−0.840651 + 0.541577i \(0.817827\pi\)
\(384\) 2.89173e7 + 5.00863e7i 0.510698 + 0.884555i
\(385\) 2.97858e7 0.521948
\(386\) 5.46886e7i 0.950899i
\(387\) −1.38449e7 + 2.98952e7i −0.238867 + 0.515784i
\(388\) −1.48243e8 −2.53793
\(389\) 6.51260e7i 1.10638i −0.833054 0.553192i \(-0.813410\pi\)
0.833054 0.553192i \(-0.186590\pi\)
\(390\) −2.20802e7 + 1.27480e7i −0.372228 + 0.214906i
\(391\) −4.66776e7 −0.780869
\(392\) −1.12350e6 + 648654.i −0.0186516 + 0.0107685i
\(393\) 2.12172e6 + 3.67493e6i 0.0349551 + 0.0605440i
\(394\) 1.50002e8 + 8.66038e7i 2.45250 + 1.41595i
\(395\) 5.15277e7i 0.836083i
\(396\) −4.01774e7 + 6.95893e7i −0.646988 + 1.12062i
\(397\) −2.72536e7 4.72047e7i −0.435565 0.754420i 0.561777 0.827289i \(-0.310118\pi\)
−0.997342 + 0.0728685i \(0.976785\pi\)
\(398\) −8.50369e7 −1.34883
\(399\) −3.52279e7 + 2.03389e7i −0.554586 + 0.320190i
\(400\) −6.46420e7 + 1.11963e8i −1.01003 + 1.74943i
\(401\) 1.18127e7 2.04602e7i 0.183196 0.317304i −0.759771 0.650190i \(-0.774689\pi\)
0.942967 + 0.332886i \(0.108022\pi\)
\(402\) −3.91064e7 + 6.77343e7i −0.601963 + 1.04263i
\(403\) −7.49991e7 −1.14588
\(404\) −8.22170e7 + 1.42404e8i −1.24686 + 2.15962i
\(405\) 3.68864e6 + 2.12964e6i 0.0555266 + 0.0320583i
\(406\) −1.70489e7 + 9.84318e6i −0.254752 + 0.147081i
\(407\) 2.63413e7 1.52082e7i 0.390710 0.225576i
\(408\) 8.66461e7 1.27576
\(409\) 9.77849e7i 1.42923i 0.699518 + 0.714615i \(0.253398\pi\)
−0.699518 + 0.714615i \(0.746602\pi\)
\(410\) −1.50820e7 2.61228e7i −0.218830 0.379025i
\(411\) −1.21455e7 2.10367e7i −0.174941 0.303007i
\(412\) 1.02813e8 1.78077e8i 1.47013 2.54633i
\(413\) −4.86872e7 2.81096e7i −0.691138 0.399029i
\(414\) 9.22939e7i 1.30068i
\(415\) 1.21078e7 + 6.99047e6i 0.169404 + 0.0978052i
\(416\) −1.04739e8 6.04714e7i −1.45489 0.839982i
\(417\) 1.74890e7 + 1.00973e7i 0.241189 + 0.139251i
\(418\) 5.91185e7 + 1.02396e8i 0.809458 + 1.40202i
\(419\) 2.55991e7i 0.348003i −0.984745 0.174001i \(-0.944330\pi\)
0.984745 0.174001i \(-0.0556697\pi\)
\(420\) 6.46618e7 3.73325e7i 0.872770 0.503894i
\(421\) 4.52772e7 + 2.61408e7i 0.606783 + 0.350326i 0.771705 0.635980i \(-0.219404\pi\)
−0.164923 + 0.986307i \(0.552737\pi\)
\(422\) −1.15155e8 −1.53230
\(423\) 4.11463e7 7.12674e7i 0.543637 0.941608i
\(424\) 3.20757e8 1.85189e8i 4.20802 2.42950i
\(425\) 1.61430e7 + 2.79605e7i 0.210290 + 0.364233i
\(426\) 1.55364e8i 2.00965i
\(427\) −5.29106e7 9.16439e7i −0.679609 1.17712i
\(428\) −1.29382e7 −0.165023
\(429\) 2.66863e7i 0.338000i
\(430\) −5.12286e7 7.27546e7i −0.644328 0.915072i
\(431\) 7.90484e7 0.987328 0.493664 0.869653i \(-0.335657\pi\)
0.493664 + 0.869653i \(0.335657\pi\)
\(432\) 2.57855e8i 3.19833i
\(433\) −9.70713e7 + 5.60442e7i −1.19571 + 0.690346i −0.959597 0.281379i \(-0.909208\pi\)
−0.236117 + 0.971725i \(0.575875\pi\)
\(434\) 3.04546e8 3.72549
\(435\) 4.28326e6 2.47294e6i 0.0520363 0.0300432i
\(436\) −8.57208e7 1.48473e8i −1.03425 1.79138i
\(437\) −8.48189e7 4.89702e7i −1.01636 0.586797i
\(438\) 2.97452e6i 0.0353993i
\(439\) −4.61110e7 + 7.98666e7i −0.545018 + 0.944000i 0.453587 + 0.891212i \(0.350144\pi\)
−0.998606 + 0.0527878i \(0.983189\pi\)
\(440\) −6.65619e7 1.15289e8i −0.781390 1.35341i
\(441\) −349416. −0.00407405
\(442\) −5.35063e7 + 3.08919e7i −0.619639 + 0.357749i
\(443\) −7.03615e7 + 1.21870e8i −0.809326 + 1.40179i 0.104005 + 0.994577i \(0.466834\pi\)
−0.913331 + 0.407218i \(0.866499\pi\)
\(444\) 3.81228e7 6.60306e7i 0.435547 0.754390i
\(445\) 1.80667e7 3.12925e7i 0.205021 0.355107i
\(446\) −2.64130e7 −0.297723
\(447\) −7.52590e6 + 1.30352e7i −0.0842629 + 0.145948i
\(448\) 1.82737e8 + 1.05503e8i 2.03233 + 1.17336i
\(449\) −5.15468e7 + 2.97606e7i −0.569460 + 0.328778i −0.756933 0.653492i \(-0.773303\pi\)
0.187474 + 0.982270i \(0.439970\pi\)
\(450\) −5.52854e7 + 3.19190e7i −0.606698 + 0.350277i
\(451\) −3.15722e7 −0.344172
\(452\) 1.97732e8i 2.14123i
\(453\) −3.50403e7 6.06915e7i −0.376941 0.652880i
\(454\) −1.01445e7 1.75708e7i −0.108408 0.187769i
\(455\) −1.63288e7 + 2.82824e7i −0.173349 + 0.300249i
\(456\) 1.57447e8 + 9.09018e7i 1.66050 + 0.958690i
\(457\) 3.35987e7i 0.352025i −0.984388 0.176012i \(-0.943680\pi\)
0.984388 0.176012i \(-0.0563199\pi\)
\(458\) 9.62408e7 + 5.55647e7i 1.00176 + 0.578365i
\(459\) 5.57668e7 + 3.21970e7i 0.576684 + 0.332949i
\(460\) 1.55687e8 + 8.98861e7i 1.59948 + 0.923462i
\(461\) 1.41112e7 + 2.44413e7i 0.144033 + 0.249472i 0.929012 0.370051i \(-0.120660\pi\)
−0.784979 + 0.619522i \(0.787326\pi\)
\(462\) 1.08364e8i 1.09890i
\(463\) 1.46789e8 8.47487e7i 1.47894 0.853867i 0.479224 0.877692i \(-0.340918\pi\)
0.999716 + 0.0238258i \(0.00758469\pi\)
\(464\) 4.15629e7 + 2.39964e7i 0.416056 + 0.240210i
\(465\) −7.65122e7 −0.760977
\(466\) −8.96620e7 + 1.55299e8i −0.886034 + 1.53466i
\(467\) 8.43466e7 4.86975e7i 0.828165 0.478141i −0.0250587 0.999686i \(-0.507977\pi\)
0.853224 + 0.521544i \(0.174644\pi\)
\(468\) −4.40512e7 7.62988e7i −0.429754 0.744356i
\(469\) 1.00182e8i 0.971118i
\(470\) 1.11130e8 + 1.92483e8i 1.07038 + 1.85395i
\(471\) 1.38710e7 0.132753
\(472\) 2.51264e8i 2.38949i
\(473\) −9.27588e7 + 8.36085e6i −0.876540 + 0.0790073i
\(474\) −1.87463e8 −1.76028
\(475\) 6.77437e7i 0.632103i
\(476\) 1.56693e8 9.04668e7i 1.45288 0.838819i
\(477\) 9.97572e7 0.919155
\(478\) −2.89527e8 + 1.67158e8i −2.65097 + 1.53054i
\(479\) −9.55930e7 1.65572e8i −0.869800 1.50654i −0.862201 0.506567i \(-0.830914\pi\)
−0.00759931 0.999971i \(-0.502419\pi\)
\(480\) −1.06853e8 6.16914e7i −0.966188 0.557829i
\(481\) 3.33490e7i 0.299673i
\(482\) 4.18675e7 7.25166e7i 0.373883 0.647584i
\(483\) 4.48811e7 + 7.77363e7i 0.398311 + 0.689895i
\(484\) 6.61140e7 0.583119
\(485\) 5.72859e7 3.30740e7i 0.502137 0.289909i
\(486\) −1.04252e8 + 1.80570e8i −0.908188 + 1.57303i
\(487\) 8.46455e7 1.46610e8i 0.732853 1.26934i −0.222806 0.974863i \(-0.571521\pi\)
0.955659 0.294476i \(-0.0951452\pi\)
\(488\) −2.36477e8 + 4.09590e8i −2.03484 + 3.52444i
\(489\) 8.21771e7 0.702788
\(490\) 471861. 817287.i 0.00401075 0.00694682i
\(491\) −1.42452e8 8.22450e7i −1.20344 0.694808i −0.242124 0.970245i \(-0.577844\pi\)
−0.961319 + 0.275437i \(0.911177\pi\)
\(492\) −6.85398e7 + 3.95715e7i −0.575503 + 0.332267i
\(493\) 1.03795e7 5.99260e6i 0.0866234 0.0500121i
\(494\) −1.29637e8 −1.07534
\(495\) 3.58554e7i 0.295624i
\(496\) −3.71221e8 6.42973e8i −3.04220 5.26924i
\(497\) −9.95022e7 1.72343e8i −0.810519 1.40386i
\(498\) 2.54320e7 4.40496e7i 0.205917 0.356660i
\(499\) −2.20603e6 1.27365e6i −0.0177546 0.0102506i 0.491096 0.871105i \(-0.336596\pi\)
−0.508851 + 0.860855i \(0.669930\pi\)
\(500\) 3.15416e8i 2.52332i
\(501\) −1.18078e8 6.81725e7i −0.938981 0.542121i
\(502\) −5.18350e7 2.99269e7i −0.409743 0.236565i
\(503\) −8.97203e7 5.18001e7i −0.704996 0.407030i 0.104209 0.994555i \(-0.466769\pi\)
−0.809206 + 0.587526i \(0.800102\pi\)
\(504\) 1.09723e8 + 1.90045e8i 0.857046 + 1.48445i
\(505\) 7.33726e7i 0.569718i
\(506\) 2.25954e8 1.30455e8i 1.74409 1.00695i
\(507\) 4.88071e7 + 2.81788e7i 0.374506 + 0.216221i
\(508\) 3.86716e8 2.94986
\(509\) −4.89545e7 + 8.47916e7i −0.371227 + 0.642983i −0.989755 0.142780i \(-0.954396\pi\)
0.618528 + 0.785763i \(0.287729\pi\)
\(510\) −5.45858e7 + 3.15151e7i −0.411500 + 0.237579i
\(511\) −1.90502e6 3.29959e6i −0.0142770 0.0247284i
\(512\) 5.46169e7i 0.406927i
\(513\) 6.75568e7 + 1.17012e8i 0.500400 + 0.866718i
\(514\) −1.14692e8 −0.844588
\(515\) 9.17527e7i 0.671733i
\(516\) −1.90890e8 + 1.34411e8i −1.38942 + 0.978332i
\(517\) 2.32636e8 1.68347
\(518\) 1.35419e8i 0.974293i
\(519\) 4.21770e7 2.43509e7i 0.301699 0.174186i
\(520\) 1.45959e8 1.03806
\(521\) −1.33581e7 + 7.71230e6i −0.0944565 + 0.0545345i −0.546484 0.837469i \(-0.684034\pi\)
0.452028 + 0.892004i \(0.350701\pi\)
\(522\) 1.18490e7 + 2.05230e7i 0.0833045 + 0.144288i
\(523\) 3.74560e7 + 2.16252e7i 0.261828 + 0.151167i 0.625168 0.780490i \(-0.285030\pi\)
−0.363340 + 0.931657i \(0.618364\pi\)
\(524\) 3.96036e7i 0.275258i
\(525\) 3.10435e7 5.37688e7i 0.214532 0.371580i
\(526\) 7.09678e7 + 1.22920e8i 0.487646 + 0.844627i
\(527\) −1.85410e8 −1.26678
\(528\) −2.28784e8 + 1.32088e8i −1.55426 + 0.897352i
\(529\) −3.40431e7 + 5.89643e7i −0.229965 + 0.398311i
\(530\) −1.34715e8 + 2.33333e8i −0.904874 + 1.56729i
\(531\) −3.38376e7 + 5.86084e7i −0.226004 + 0.391450i
\(532\) 3.79641e8 2.52138
\(533\) 1.73081e7 2.99785e7i 0.114306 0.197983i
\(534\) −1.13845e8 6.57286e7i −0.747637 0.431649i
\(535\) 4.99975e6 2.88660e6i 0.0326503 0.0188506i
\(536\) 3.87764e8 2.23875e8i 2.51810 1.45383i
\(537\) 1.86897e8 1.20692
\(538\) 4.54798e7i 0.292060i
\(539\) −493889. 855441.i −0.00315401 0.00546290i
\(540\) −1.24002e8 2.14778e8i −0.787496 1.36398i
\(541\) 1.36950e8 2.37205e8i 0.864911 1.49807i −0.00222366 0.999998i \(-0.500708\pi\)
0.867135 0.498073i \(-0.165959\pi\)
\(542\) 1.63928e7 + 9.46436e6i 0.102957 + 0.0594420i
\(543\) 2.04048e8i 1.27448i
\(544\) −2.58933e8 1.49495e8i −1.60839 0.928603i
\(545\) 6.62505e7 + 3.82498e7i 0.409261 + 0.236287i
\(546\) 1.02894e8 + 5.94059e7i 0.632139 + 0.364966i
\(547\) −3.66334e7 6.34509e7i −0.223828 0.387682i 0.732139 0.681155i \(-0.238522\pi\)
−0.955967 + 0.293473i \(0.905189\pi\)
\(548\) 2.26706e8i 1.37759i
\(549\) −1.10319e8 + 6.36924e7i −0.666701 + 0.384920i
\(550\) −1.56289e8 9.02333e7i −0.939375 0.542349i
\(551\) 2.51478e7 0.150330
\(552\) 2.00590e8 3.47432e8i 1.19259 2.06563i
\(553\) −2.07950e8 + 1.20060e8i −1.22965 + 0.709941i
\(554\) 2.55169e8 + 4.41965e8i 1.50071 + 2.59931i
\(555\) 3.40218e7i 0.199011i
\(556\) −9.42370e7 1.63223e8i −0.548273 0.949637i
\(557\) 1.01404e8 0.586799 0.293400 0.955990i \(-0.405213\pi\)
0.293400 + 0.955990i \(0.405213\pi\)
\(558\) 3.66604e8i 2.11006i
\(559\) 4.29123e7 9.26602e7i 0.245667 0.530466i
\(560\) −3.23289e8 −1.84089
\(561\) 6.59728e7i 0.373660i
\(562\) 3.29352e7 1.90152e7i 0.185546 0.107125i
\(563\) 4.67884e7 0.262188 0.131094 0.991370i \(-0.458151\pi\)
0.131094 + 0.991370i \(0.458151\pi\)
\(564\) 5.05028e8 2.91578e8i 2.81500 1.62524i
\(565\) −4.41154e7 7.64102e7i −0.244594 0.423649i
\(566\) 3.05408e8 + 1.76328e8i 1.68435 + 0.972458i
\(567\) 1.98483e7i 0.108886i
\(568\) −4.44712e8 + 7.70263e8i −2.42680 + 4.20334i
\(569\) −4.07982e7 7.06646e7i −0.221465 0.383588i 0.733788 0.679378i \(-0.237750\pi\)
−0.955253 + 0.295790i \(0.904417\pi\)
\(570\) −1.32252e8 −0.714132
\(571\) 1.97450e8 1.13998e8i 1.06059 0.612333i 0.134996 0.990846i \(-0.456898\pi\)
0.925596 + 0.378513i \(0.123564\pi\)
\(572\) 1.24530e8 2.15692e8i 0.665405 1.15252i
\(573\) 1.02582e8 1.77677e8i 0.545265 0.944427i
\(574\) −7.02824e7 + 1.21733e8i −0.371630 + 0.643682i
\(575\) 1.49488e8 0.786325
\(576\) 1.27002e8 2.19974e8i 0.664575 1.15108i
\(577\) 1.63107e8 + 9.41701e7i 0.849075 + 0.490214i 0.860339 0.509723i \(-0.170252\pi\)
−0.0112636 + 0.999937i \(0.503585\pi\)
\(578\) 1.84431e8 1.06481e8i 0.955102 0.551429i
\(579\) 5.54488e7 3.20134e7i 0.285665 0.164929i
\(580\) −4.61594e7 −0.236579
\(581\) 6.51514e7i 0.332197i
\(582\) −1.20327e8 2.08412e8i −0.610369 1.05719i
\(583\) 1.41004e8 + 2.44226e8i 0.711583 + 1.23250i
\(584\) −8.51422e6 + 1.47471e7i −0.0427471 + 0.0740401i
\(585\) 3.40456e7 + 1.96562e7i 0.170056 + 0.0981821i
\(586\) 2.70080e8i 1.34215i
\(587\) 3.75175e7 + 2.16607e7i 0.185490 + 0.107092i 0.589869 0.807499i \(-0.299179\pi\)
−0.404380 + 0.914591i \(0.632513\pi\)
\(588\) −2.14436e6 1.23805e6i −0.0105479 0.00608982i
\(589\) −3.36912e8 1.94517e8i −1.64881 0.951942i
\(590\) −9.13905e7 1.58293e8i −0.444985 0.770736i
\(591\) 2.02783e8i 0.982358i
\(592\) −2.85903e8 + 1.65066e8i −1.37802 + 0.795598i
\(593\) 7.99031e6 + 4.61321e6i 0.0383177 + 0.0221227i 0.519036 0.854752i \(-0.326291\pi\)
−0.480719 + 0.876875i \(0.659624\pi\)
\(594\) −3.59937e8 −1.71738
\(595\) −4.03675e7 + 6.99185e7i −0.191638 + 0.331926i
\(596\) 1.21657e8 7.02385e7i 0.574641 0.331769i
\(597\) −4.97786e7 8.62191e7i −0.233948 0.405210i
\(598\) 2.86065e8i 1.33771i
\(599\) −3.94924e7 6.84028e7i −0.183752 0.318268i 0.759403 0.650620i \(-0.225491\pi\)
−0.943155 + 0.332352i \(0.892158\pi\)
\(600\) −2.77489e8 −1.28467
\(601\) 82367.9i 0.000379432i −1.00000 0.000189716i \(-0.999940\pi\)
1.00000 0.000189716i \(-6.03885e-5\pi\)
\(602\) −1.74252e8 + 3.76261e8i −0.798709 + 1.72465i
\(603\) 1.20597e8 0.550026
\(604\) 6.54054e8i 2.96827i
\(605\) −2.55486e7 + 1.47505e7i −0.115372 + 0.0666101i
\(606\) −2.66937e8 −1.19947
\(607\) −1.09940e7 + 6.34736e6i −0.0491573 + 0.0283810i −0.524377 0.851486i \(-0.675702\pi\)
0.475220 + 0.879867i \(0.342368\pi\)
\(608\) −3.13675e8 5.43302e8i −1.39563 2.41730i
\(609\) −1.99600e7 1.15239e7i −0.0883709 0.0510210i
\(610\) 3.44048e8i 1.51576i
\(611\) −1.27533e8 + 2.20894e8i −0.559112 + 0.968411i
\(612\) −1.08902e8 1.88623e8i −0.475094 0.822887i
\(613\) 5.50832e7 0.239132 0.119566 0.992826i \(-0.461850\pi\)
0.119566 + 0.992826i \(0.461850\pi\)
\(614\) −3.68926e8 + 2.13000e8i −1.59380 + 0.920182i
\(615\) 1.76573e7 3.05834e7i 0.0759100 0.131480i
\(616\) −3.10179e8 + 5.37246e8i −1.32700 + 2.29843i
\(617\) 2.17210e8 3.76218e8i 0.924748 1.60171i 0.132783 0.991145i \(-0.457609\pi\)
0.791965 0.610566i \(-0.209058\pi\)
\(618\) 3.33806e8 1.41426
\(619\) −5.37800e7 + 9.31497e7i −0.226751 + 0.392744i −0.956843 0.290604i \(-0.906144\pi\)
0.730092 + 0.683348i \(0.239477\pi\)
\(620\) 6.18411e8 + 3.57040e8i 2.59479 + 1.49810i
\(621\) 2.58206e8 1.49075e8i 1.07818 0.622488i
\(622\) −5.97232e8 + 3.44812e8i −2.48183 + 1.43288i
\(623\) −1.68382e8 −0.696357
\(624\) 2.89648e8i 1.19211i
\(625\) −9.06997e6 1.57096e7i −0.0371506 0.0643467i
\(626\) 2.25806e8 + 3.91107e8i 0.920475 + 1.59431i
\(627\) −6.92132e7 + 1.19881e8i −0.280793 + 0.486347i
\(628\) −1.12113e8 6.47284e7i −0.452665 0.261346i
\(629\) 8.24440e7i 0.331289i
\(630\) −1.38247e8 7.98172e7i −0.552886 0.319209i
\(631\) −1.07504e8 6.20672e7i −0.427893 0.247044i 0.270556 0.962704i \(-0.412793\pi\)
−0.698448 + 0.715660i \(0.746126\pi\)
\(632\) 9.29404e8 + 5.36592e8i 3.68174 + 2.12565i
\(633\) −6.74088e7 1.16755e8i −0.265770 0.460327i
\(634\) 8.50266e7i 0.333647i
\(635\) −1.49439e8 + 8.62789e7i −0.583638 + 0.336964i
\(636\) 6.12208e8 + 3.53459e8i 2.37973 + 1.37394i
\(637\) 1.08302e6 0.00419002
\(638\) −3.34963e7 + 5.80173e7i −0.128984 + 0.223406i
\(639\) −2.07462e8 + 1.19778e8i −0.795125 + 0.459066i
\(640\) 1.20425e8 + 2.08582e8i 0.459385 + 0.795678i
\(641\) 2.46684e8i 0.936627i −0.883562 0.468313i \(-0.844862\pi\)
0.883562 0.468313i \(-0.155138\pi\)
\(642\) −1.05018e7 1.81896e7i −0.0396878 0.0687413i
\(643\) 1.95575e8 0.735665 0.367833 0.929892i \(-0.380100\pi\)
0.367833 + 0.929892i \(0.380100\pi\)
\(644\) 8.37741e8i 3.13655i
\(645\) 4.37780e7 9.45296e7i 0.163146 0.352281i
\(646\) −3.20483e8 −1.18880
\(647\) 1.63445e8i 0.603475i −0.953391 0.301738i \(-0.902433\pi\)
0.953391 0.301738i \(-0.0975667\pi\)
\(648\) −7.68244e7 + 4.43546e7i −0.282341 + 0.163010i
\(649\) −1.91314e8 −0.699862
\(650\) 1.71357e8 9.89332e7i 0.623968 0.360248i
\(651\) 1.78274e8 + 3.08779e8i 0.646167 + 1.11919i
\(652\) −6.64198e8 3.83475e8i −2.39638 1.38355i
\(653\) 2.18471e8i 0.784611i −0.919835 0.392305i \(-0.871678\pi\)
0.919835 0.392305i \(-0.128322\pi\)
\(654\) 1.39157e8 2.41026e8i 0.497474 0.861650i
\(655\) 8.83582e6 + 1.53041e7i 0.0314429 + 0.0544608i
\(656\) 3.42678e8 1.21388
\(657\) −3.97196e6 + 2.29321e6i −0.0140058 + 0.00808626i
\(658\) 5.17868e8 8.96974e8i 1.81778 3.14849i
\(659\) −1.22837e8 + 2.12759e8i −0.429212 + 0.743417i −0.996803 0.0798936i \(-0.974542\pi\)
0.567592 + 0.823310i \(0.307875\pi\)
\(660\) 1.27042e8 2.20044e8i 0.441893 0.765381i
\(661\) −3.08826e7 −0.106933 −0.0534663 0.998570i \(-0.517027\pi\)
−0.0534663 + 0.998570i \(0.517027\pi\)
\(662\) −6.69819e7 + 1.16016e8i −0.230879 + 0.399893i
\(663\) −6.26427e7 3.61668e7i −0.214946 0.124099i
\(664\) −2.52174e8 + 1.45593e8i −0.861382 + 0.497319i
\(665\) −1.46705e8 + 8.47004e7i −0.498863 + 0.288019i
\(666\) −1.63014e8 −0.551824
\(667\) 5.54927e7i 0.187007i
\(668\) 6.36247e8 + 1.10201e9i 2.13450 + 3.69706i
\(669\) −1.54615e7 2.67802e7i −0.0516386 0.0894407i
\(670\) −1.62857e8 + 2.82077e8i −0.541480 + 0.937871i
\(671\) −3.11864e8 1.80055e8i −1.03228 0.595988i
\(672\) 5.74965e8i 1.89467i
\(673\) 3.13802e8 + 1.81174e8i 1.02946 + 0.594360i 0.916830 0.399277i \(-0.130739\pi\)
0.112632 + 0.993637i \(0.464072\pi\)
\(674\) 4.54060e8 + 2.62151e8i 1.48297 + 0.856195i
\(675\) −1.78597e8 1.03113e8i −0.580713 0.335275i
\(676\) −2.62990e8 4.55511e8i −0.851331 1.47455i
\(677\) 5.27995e7i 0.170162i 0.996374 + 0.0850812i \(0.0271150\pi\)
−0.996374 + 0.0850812i \(0.972885\pi\)
\(678\) −2.77988e8 + 1.60496e8i −0.891943 + 0.514963i
\(679\) −2.66953e8 1.54125e8i −0.852757 0.492339i
\(680\) 3.60834e8 1.14757
\(681\) 1.18767e7 2.05710e7i 0.0376057 0.0651350i
\(682\) 8.97522e8 5.18184e8i 2.82938 1.63355i
\(683\) 1.36124e8 + 2.35773e8i 0.427239 + 0.740000i 0.996627 0.0820691i \(-0.0261528\pi\)
−0.569387 + 0.822069i \(0.692819\pi\)
\(684\) 4.57002e8i 1.42807i
\(685\) −5.05796e7 8.76065e7i −0.157363 0.272562i
\(686\) 6.09176e8 1.88699
\(687\) 1.30105e8i 0.401258i
\(688\) 1.00679e9 9.07470e7i 3.09152 0.278655i
\(689\) −3.09198e8 −0.945320
\(690\) 2.91837e8i 0.888368i
\(691\) 1.85895e8 1.07327e8i 0.563423 0.325292i −0.191095 0.981572i \(-0.561204\pi\)
0.754518 + 0.656279i \(0.227871\pi\)
\(692\) −4.54529e8 −1.37165
\(693\) −1.44701e8 + 8.35433e7i −0.434783 + 0.251022i
\(694\) −1.93996e8 3.36011e8i −0.580382 1.00525i
\(695\) 7.28324e7 + 4.20498e7i 0.216955 + 0.125259i
\(696\) 1.03009e8i 0.305527i
\(697\) 4.27885e7 7.41118e7i 0.126365 0.218871i
\(698\) −2.58640e8 4.47978e8i −0.760554 1.31732i
\(699\) −2.09944e8 −0.614712
\(700\) −5.01819e8 + 2.89725e8i −1.46303 + 0.844680i
\(701\) 1.44259e7 2.49864e7i 0.0418783 0.0725353i −0.844327 0.535829i \(-0.819999\pi\)
0.886205 + 0.463294i \(0.153332\pi\)
\(702\) 1.97320e8 3.41769e8i 0.570375 0.987919i
\(703\) −8.64934e7 + 1.49811e8i −0.248953 + 0.431199i
\(704\) 7.18056e8 2.05798
\(705\) −1.30106e8 + 2.25350e8i −0.371304 + 0.643118i
\(706\) −5.70160e8 3.29182e8i −1.62025 0.935453i
\(707\) −2.96109e8 + 1.70959e8i −0.837903 + 0.483763i
\(708\) −4.15322e8 + 2.39786e8i −1.17027 + 0.675654i
\(709\) 3.56501e8 1.00028 0.500141 0.865944i \(-0.333281\pi\)
0.500141 + 0.865944i \(0.333281\pi\)
\(710\) 6.47007e8i 1.80773i
\(711\) 1.44525e8 + 2.50325e8i 0.402100 + 0.696458i
\(712\) 3.76281e8 + 6.51738e8i 1.04249 + 1.80565i
\(713\) −4.29233e8 + 7.43454e8i −1.18420 + 2.05109i
\(714\) 2.54371e8 + 1.46861e8i 0.698832 + 0.403471i
\(715\) 1.11134e8i 0.304039i
\(716\) −1.51060e9 8.72145e8i −4.11538 2.37602i
\(717\) −3.38965e8 1.95701e8i −0.919595 0.530929i
\(718\) −4.91155e8 2.83568e8i −1.32692 0.766098i
\(719\) 9.40289e7 + 1.62863e8i 0.252973 + 0.438163i 0.964343 0.264655i \(-0.0852582\pi\)
−0.711370 + 0.702818i \(0.751925\pi\)
\(720\) 3.89167e8i 1.04265i
\(721\) 3.70285e8 2.13784e8i 0.987940 0.570388i
\(722\) 3.49276e7 + 2.01655e7i 0.0928020 + 0.0535792i
\(723\) 9.80329e7 0.259392
\(724\) 9.52180e8 1.64922e9i 2.50901 4.34574i
\(725\) −3.32409e7 + 1.91917e7i −0.0872287 + 0.0503615i
\(726\) 5.36637e7 + 9.29483e7i 0.140240 + 0.242902i
\(727\) 3.34772e8i 0.871257i 0.900127 + 0.435629i \(0.143474\pi\)
−0.900127 + 0.435629i \(0.856526\pi\)
\(728\) −3.40085e8 5.89045e8i −0.881442 1.52670i
\(729\) −2.86141e8 −0.738581
\(730\) 1.23873e7i 0.0318425i
\(731\) 1.06086e8 2.29071e8i 0.271585 0.586432i
\(732\) −9.02697e8 −2.30149
\(733\) 1.99155e8i 0.505685i −0.967507 0.252843i \(-0.918635\pi\)
0.967507 0.252843i \(-0.0813655\pi\)
\(734\) 7.36682e8 4.25323e8i 1.86291 1.07555i
\(735\) 1.10486e6 0.00278258
\(736\) −1.19889e9 + 6.92177e8i −3.00708 + 1.73614i
\(737\) 1.70460e8 + 2.95245e8i 0.425814 + 0.737532i
\(738\) 1.46539e8 + 8.46041e7i 0.364572 + 0.210486i
\(739\) 6.49415e8i 1.60912i 0.593870 + 0.804561i \(0.297600\pi\)
−0.593870 + 0.804561i \(0.702400\pi\)
\(740\) 1.58761e8 2.74982e8i 0.391785 0.678592i
\(741\) −7.58864e7 1.31439e8i −0.186513 0.323050i
\(742\) 1.25555e9 3.07341
\(743\) 2.54313e8 1.46828e8i 0.620015 0.357966i −0.156860 0.987621i \(-0.550137\pi\)
0.776875 + 0.629655i \(0.216804\pi\)
\(744\) 7.96771e8 1.38005e9i 1.93471 3.35101i
\(745\) −3.13413e7 + 5.42848e7i −0.0757964 + 0.131283i
\(746\) 1.64810e8 2.85459e8i 0.396978 0.687586i
\(747\) −7.84275e7 −0.188151
\(748\) 3.07858e8 5.33226e8i 0.735608 1.27411i
\(749\) −2.32989e7 1.34516e7i −0.0554485 0.0320132i
\(750\) 4.43436e8 2.56018e8i 1.05111 0.606857i
\(751\) −2.88020e8 + 1.66289e8i −0.679992 + 0.392593i −0.799852 0.600197i \(-0.795089\pi\)
0.119860 + 0.992791i \(0.461755\pi\)
\(752\) −2.52499e9 −5.93753
\(753\) 7.00741e7i 0.164124i
\(754\) −3.67259e7 6.36111e7i −0.0856758 0.148395i
\(755\) −1.45924e8 2.52748e8i −0.339067 0.587281i
\(756\) −5.77852e8 + 1.00087e9i −1.33737 + 2.31639i
\(757\) 4.26340e8 + 2.46148e8i 0.982809 + 0.567425i 0.903117 0.429395i \(-0.141273\pi\)
0.0796917 + 0.996820i \(0.474606\pi\)
\(758\) 1.59053e8i 0.365203i
\(759\) 2.64537e8 + 1.52730e8i 0.605007 + 0.349301i
\(760\) 6.55680e8 + 3.78557e8i 1.49366 + 0.862364i
\(761\) −2.12821e7 1.22872e7i −0.0482903 0.0278804i 0.475660 0.879629i \(-0.342209\pi\)
−0.523951 + 0.851749i \(0.675542\pi\)
\(762\) 3.13891e8 + 5.43676e8i 0.709438 + 1.22878i
\(763\) 3.56489e8i 0.802550i
\(764\) −1.65824e9 + 9.57388e8i −3.71851 + 2.14688i