Properties

Label 76.6.f.a.27.20
Level $76$
Weight $6$
Character 76.27
Analytic conductor $12.189$
Analytic rank $0$
Dimension $96$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 76.f (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(12.1891703058\)
Analytic rank: \(0\)
Dimension: \(96\)
Relative dimension: \(48\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 27.20
Character \(\chi\) \(=\) 76.27
Dual form 76.6.f.a.31.20

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.12496 + 5.24257i) q^{2} +(-8.46878 + 14.6684i) q^{3} +(-22.9691 - 22.2805i) q^{4} +(29.9102 - 51.8059i) q^{5} +(-58.9040 - 75.5679i) q^{6} +59.1673i q^{7} +(165.616 - 73.0716i) q^{8} +(-21.9405 - 38.0021i) q^{9} +O(q^{10})\) \(q+(-2.12496 + 5.24257i) q^{2} +(-8.46878 + 14.6684i) q^{3} +(-22.9691 - 22.2805i) q^{4} +(29.9102 - 51.8059i) q^{5} +(-58.9040 - 75.5679i) q^{6} +59.1673i q^{7} +(165.616 - 73.0716i) q^{8} +(-21.9405 - 38.0021i) q^{9} +(208.038 + 266.892i) q^{10} -688.744i q^{11} +(521.339 - 148.230i) q^{12} +(858.463 - 495.634i) q^{13} +(-310.189 - 125.728i) q^{14} +(506.605 + 877.466i) q^{15} +(31.1559 + 1023.53i) q^{16} +(-621.607 + 1076.66i) q^{17} +(245.851 - 34.2716i) q^{18} +(-743.126 + 1387.03i) q^{19} +(-1841.27 + 523.519i) q^{20} +(-867.888 - 501.075i) q^{21} +(3610.79 + 1463.56i) q^{22} +(1837.86 - 1061.09i) q^{23} +(-330.722 + 3048.14i) q^{24} +(-226.737 - 392.720i) q^{25} +(774.192 + 5553.75i) q^{26} -3372.59 q^{27} +(1318.28 - 1359.02i) q^{28} +(1814.53 - 1047.62i) q^{29} +(-5676.70 + 791.331i) q^{30} +7638.88 q^{31} +(-5432.11 - 2011.62i) q^{32} +(10102.7 + 5832.82i) q^{33} +(-4323.55 - 5546.67i) q^{34} +(3065.22 + 1769.70i) q^{35} +(-342.753 + 1361.72i) q^{36} -11413.7i q^{37} +(-5692.51 - 6843.29i) q^{38} +16789.7i q^{39} +(1168.05 - 10765.5i) q^{40} +(7508.35 + 4334.95i) q^{41} +(4471.15 - 3485.19i) q^{42} +(2260.20 + 1304.93i) q^{43} +(-15345.6 + 15819.8i) q^{44} -2624.98 q^{45} +(1657.45 + 11889.9i) q^{46} +(10261.3 - 5924.39i) q^{47} +(-15277.3 - 8211.01i) q^{48} +13306.2 q^{49} +(2540.67 - 354.169i) q^{50} +(-10528.5 - 18235.9i) q^{51} +(-30761.1 - 7742.76i) q^{52} +(31883.7 - 18408.1i) q^{53} +(7166.63 - 17681.0i) q^{54} +(-35681.0 - 20600.5i) q^{55} +(4323.45 + 9799.03i) q^{56} +(-14052.1 - 22646.9i) q^{57} +(1636.41 + 11738.9i) q^{58} +(-9287.21 + 16085.9i) q^{59} +(7914.16 - 31442.0i) q^{60} +(6220.18 + 10773.7i) q^{61} +(-16232.3 + 40047.4i) q^{62} +(2248.48 - 1298.16i) q^{63} +(22089.1 - 24203.6i) q^{64} -59298.0i q^{65} +(-52046.9 + 40569.8i) q^{66} +(-10997.4 - 19048.1i) q^{67} +(38266.2 - 10880.0i) q^{68} +35944.5i q^{69} +(-15791.3 + 12309.1i) q^{70} +(6069.69 - 10513.0i) q^{71} +(-6410.56 - 4690.51i) q^{72} +(-31951.5 + 55341.7i) q^{73} +(59836.9 + 24253.6i) q^{74} +7680.74 q^{75} +(47972.8 - 15301.6i) q^{76} +40751.1 q^{77} +(-88020.9 - 35677.4i) q^{78} +(-21830.8 + 37812.1i) q^{79} +(53956.6 + 28999.8i) q^{80} +(33893.3 - 58704.9i) q^{81} +(-38681.2 + 30151.4i) q^{82} -70841.8i q^{83} +(8770.35 + 30846.2i) q^{84} +(37184.8 + 64405.9i) q^{85} +(-11644.0 + 9076.33i) q^{86} +35488.2i q^{87} +(-50327.6 - 114067. i) q^{88} +(-57124.7 + 32981.0i) q^{89} +(5577.98 - 13761.6i) q^{90} +(29325.3 + 50792.9i) q^{91} +(-65855.5 - 16576.3i) q^{92} +(-64692.0 + 112050. i) q^{93} +(9254.05 + 66384.9i) q^{94} +(49629.6 + 79984.8i) q^{95} +(75510.5 - 62644.2i) q^{96} +(-96176.6 - 55527.6i) q^{97} +(-28275.2 + 69758.8i) q^{98} +(-26173.7 + 15111.4i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 96q - 3q^{2} - 11q^{4} - 2q^{5} - 27q^{6} - 3588q^{9} + O(q^{10}) \) \( 96q - 3q^{2} - 11q^{4} - 2q^{5} - 27q^{6} - 3588q^{9} + 648q^{10} - 354q^{13} + 2154q^{14} - 611q^{16} - 1006q^{17} + 10524q^{20} + 7824q^{21} + 93q^{22} - 5311q^{24} - 25002q^{25} - 13428q^{26} + 1556q^{28} - 6q^{29} - 12656q^{30} - 30453q^{32} + 8586q^{33} + 30102q^{34} - 2306q^{36} + 29846q^{38} - 1392q^{40} + 29064q^{41} + 18616q^{42} + 9155q^{44} + 13464q^{45} + 38217q^{48} - 116224q^{49} + 36858q^{52} + 26262q^{53} - 26355q^{54} + 53974q^{57} - 112740q^{58} - 108810q^{60} - 77370q^{61} - 106848q^{62} + 337966q^{64} + 166855q^{66} + 175796q^{68} + 148122q^{70} - 259842q^{72} - 52040q^{73} + 103690q^{74} - 194709q^{76} + 197584q^{77} + 253206q^{78} - 171934q^{80} - 313100q^{81} + 63919q^{82} - 161762q^{85} - 38442q^{86} + 10482q^{89} - 372450q^{90} + 64544q^{92} + 94012q^{93} + 537614q^{96} + 177180q^{97} - 509397q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.12496 + 5.24257i −0.375644 + 0.926764i
\(3\) −8.46878 + 14.6684i −0.543273 + 0.940976i 0.455441 + 0.890266i \(0.349482\pi\)
−0.998713 + 0.0507097i \(0.983852\pi\)
\(4\) −22.9691 22.2805i −0.717783 0.696267i
\(5\) 29.9102 51.8059i 0.535049 0.926733i −0.464112 0.885777i \(-0.653626\pi\)
0.999161 0.0409560i \(-0.0130404\pi\)
\(6\) −58.9040 75.5679i −0.667985 0.856957i
\(7\) 59.1673i 0.456391i 0.973615 + 0.228195i \(0.0732825\pi\)
−0.973615 + 0.228195i \(0.926718\pi\)
\(8\) 165.616 73.0716i 0.914906 0.403667i
\(9\) −21.9405 38.0021i −0.0902902 0.156387i
\(10\) 208.038 + 266.892i 0.657875 + 0.843986i
\(11\) 688.744i 1.71623i −0.513455 0.858116i \(-0.671635\pi\)
0.513455 0.858116i \(-0.328365\pi\)
\(12\) 521.339 148.230i 1.04512 0.297154i
\(13\) 858.463 495.634i 1.40884 0.813397i 0.413568 0.910473i \(-0.364283\pi\)
0.995277 + 0.0970766i \(0.0309492\pi\)
\(14\) −310.189 125.728i −0.422967 0.171440i
\(15\) 506.605 + 877.466i 0.581355 + 1.00694i
\(16\) 31.1559 + 1023.53i 0.0304257 + 0.999537i
\(17\) −621.607 + 1076.66i −0.521667 + 0.903554i 0.478015 + 0.878352i \(0.341356\pi\)
−0.999682 + 0.0252027i \(0.991977\pi\)
\(18\) 245.851 34.2716i 0.178851 0.0249318i
\(19\) −743.126 + 1387.03i −0.472257 + 0.881461i
\(20\) −1841.27 + 523.519i −1.02930 + 0.292656i
\(21\) −867.888 501.075i −0.429453 0.247945i
\(22\) 3610.79 + 1463.56i 1.59054 + 0.644692i
\(23\) 1837.86 1061.09i 0.724423 0.418246i −0.0919553 0.995763i \(-0.529312\pi\)
0.816379 + 0.577517i \(0.195978\pi\)
\(24\) −330.722 + 3048.14i −0.117202 + 1.08021i
\(25\) −226.737 392.720i −0.0725558 0.125670i
\(26\) 774.192 + 5553.75i 0.224603 + 1.61121i
\(27\) −3372.59 −0.890336
\(28\) 1318.28 1359.02i 0.317770 0.327590i
\(29\) 1814.53 1047.62i 0.400653 0.231317i −0.286113 0.958196i \(-0.592363\pi\)
0.686766 + 0.726879i \(0.259030\pi\)
\(30\) −5676.70 + 791.331i −1.15158 + 0.160529i
\(31\) 7638.88 1.42766 0.713831 0.700318i \(-0.246958\pi\)
0.713831 + 0.700318i \(0.246958\pi\)
\(32\) −5432.11 2011.62i −0.937764 0.347273i
\(33\) 10102.7 + 5832.82i 1.61493 + 0.932382i
\(34\) −4323.55 5546.67i −0.641421 0.822877i
\(35\) 3065.22 + 1769.70i 0.422952 + 0.244192i
\(36\) −342.753 + 1361.72i −0.0440784 + 0.175118i
\(37\) 11413.7i 1.37063i −0.728246 0.685315i \(-0.759664\pi\)
0.728246 0.685315i \(-0.240336\pi\)
\(38\) −5692.51 6843.29i −0.639506 0.768786i
\(39\) 16789.7i 1.76758i
\(40\) 1168.05 10765.5i 0.115428 1.06386i
\(41\) 7508.35 + 4334.95i 0.697565 + 0.402739i 0.806440 0.591316i \(-0.201391\pi\)
−0.108875 + 0.994055i \(0.534725\pi\)
\(42\) 4471.15 3485.19i 0.391107 0.304862i
\(43\) 2260.20 + 1304.93i 0.186413 + 0.107625i 0.590302 0.807182i \(-0.299009\pi\)
−0.403889 + 0.914808i \(0.632342\pi\)
\(44\) −15345.6 + 15819.8i −1.19496 + 1.23188i
\(45\) −2624.98 −0.193239
\(46\) 1657.45 + 11889.9i 0.115490 + 0.828481i
\(47\) 10261.3 5924.39i 0.677579 0.391200i −0.121363 0.992608i \(-0.538727\pi\)
0.798942 + 0.601408i \(0.205393\pi\)
\(48\) −15277.3 8211.01i −0.957069 0.514391i
\(49\) 13306.2 0.791708
\(50\) 2540.67 354.169i 0.143722 0.0200348i
\(51\) −10528.5 18235.9i −0.566815 0.981753i
\(52\) −30761.1 7742.76i −1.57759 0.397089i
\(53\) 31883.7 18408.1i 1.55912 0.900157i 0.561776 0.827289i \(-0.310118\pi\)
0.997342 0.0728675i \(-0.0232150\pi\)
\(54\) 7166.63 17681.0i 0.334449 0.825132i
\(55\) −35681.0 20600.5i −1.59049 0.918269i
\(56\) 4323.45 + 9799.03i 0.184230 + 0.417555i
\(57\) −14052.1 22646.9i −0.572869 0.923256i
\(58\) 1636.41 + 11738.9i 0.0638735 + 0.458204i
\(59\) −9287.21 + 16085.9i −0.347340 + 0.601611i −0.985776 0.168064i \(-0.946248\pi\)
0.638436 + 0.769675i \(0.279582\pi\)
\(60\) 7914.16 31442.0i 0.283809 1.12754i
\(61\) 6220.18 + 10773.7i 0.214032 + 0.370714i 0.952973 0.303056i \(-0.0980071\pi\)
−0.738941 + 0.673770i \(0.764674\pi\)
\(62\) −16232.3 + 40047.4i −0.536293 + 1.32311i
\(63\) 2248.48 1298.16i 0.0713736 0.0412076i
\(64\) 22089.1 24203.6i 0.674105 0.738635i
\(65\) 59298.0i 1.74083i
\(66\) −52046.9 + 40569.8i −1.47074 + 1.14642i
\(67\) −10997.4 19048.1i −0.299298 0.518400i 0.676677 0.736280i \(-0.263419\pi\)
−0.975976 + 0.217880i \(0.930086\pi\)
\(68\) 38266.2 10880.0i 1.00356 0.285337i
\(69\) 35944.5i 0.908886i
\(70\) −15791.3 + 12309.1i −0.385187 + 0.300248i
\(71\) 6069.69 10513.0i 0.142896 0.247504i −0.785690 0.618621i \(-0.787692\pi\)
0.928586 + 0.371117i \(0.121025\pi\)
\(72\) −6410.56 4690.51i −0.145735 0.106632i
\(73\) −31951.5 + 55341.7i −0.701753 + 1.21547i 0.266097 + 0.963946i \(0.414266\pi\)
−0.967850 + 0.251526i \(0.919067\pi\)
\(74\) 59836.9 + 24253.6i 1.27025 + 0.514869i
\(75\) 7680.74 0.157670
\(76\) 47972.8 15301.6i 0.952710 0.303881i
\(77\) 40751.1 0.783273
\(78\) −88020.9 35677.4i −1.63813 0.663982i
\(79\) −21830.8 + 37812.1i −0.393552 + 0.681653i −0.992915 0.118825i \(-0.962087\pi\)
0.599363 + 0.800477i \(0.295421\pi\)
\(80\) 53956.6 + 28999.8i 0.942583 + 0.506605i
\(81\) 33893.3 58704.9i 0.573986 0.994172i
\(82\) −38681.2 + 30151.4i −0.635281 + 0.495192i
\(83\) 70841.8i 1.12874i −0.825521 0.564371i \(-0.809119\pi\)
0.825521 0.564371i \(-0.190881\pi\)
\(84\) 8770.35 + 30846.2i 0.135618 + 0.476984i
\(85\) 37184.8 + 64405.9i 0.558236 + 0.966893i
\(86\) −11644.0 + 9076.33i −0.169768 + 0.132332i
\(87\) 35488.2i 0.502673i
\(88\) −50327.6 114067.i −0.692787 1.57019i
\(89\) −57124.7 + 32981.0i −0.764450 + 0.441356i −0.830891 0.556435i \(-0.812169\pi\)
0.0664411 + 0.997790i \(0.478836\pi\)
\(90\) 5577.98 13761.6i 0.0725890 0.179087i
\(91\) 29325.3 + 50792.9i 0.371227 + 0.642984i
\(92\) −65855.5 16576.3i −0.811190 0.204182i
\(93\) −64692.0 + 112050.i −0.775610 + 1.34340i
\(94\) 9254.05 + 66384.9i 0.108022 + 0.774908i
\(95\) 49629.6 + 79984.8i 0.564198 + 0.909281i
\(96\) 75510.5 62644.2i 0.836237 0.693750i
\(97\) −96176.6 55527.6i −1.03786 0.599210i −0.118636 0.992938i \(-0.537852\pi\)
−0.919227 + 0.393727i \(0.871185\pi\)
\(98\) −28275.2 + 69758.8i −0.297400 + 0.733726i
\(99\) −26173.7 + 15111.4i −0.268397 + 0.154959i
\(100\) −3542.07 + 14072.2i −0.0354207 + 0.140722i
\(101\) −32760.5 56742.8i −0.319556 0.553487i 0.660840 0.750527i \(-0.270200\pi\)
−0.980395 + 0.197040i \(0.936867\pi\)
\(102\) 117976. 16445.8i 1.12277 0.156515i
\(103\) 132954. 1.23483 0.617415 0.786638i \(-0.288180\pi\)
0.617415 + 0.786638i \(0.288180\pi\)
\(104\) 105958. 144814.i 0.960618 1.31289i
\(105\) −51917.3 + 29974.5i −0.459557 + 0.265325i
\(106\) 28753.9 + 206269.i 0.248560 + 1.78307i
\(107\) 59514.3 0.502530 0.251265 0.967918i \(-0.419153\pi\)
0.251265 + 0.967918i \(0.419153\pi\)
\(108\) 77465.2 + 75143.1i 0.639069 + 0.619912i
\(109\) −4036.90 2330.70i −0.0325448 0.0187897i 0.483639 0.875267i \(-0.339315\pi\)
−0.516184 + 0.856478i \(0.672648\pi\)
\(110\) 183820. 143285.i 1.44848 1.12907i
\(111\) 167420. + 96659.8i 1.28973 + 0.744626i
\(112\) −60559.3 + 1843.41i −0.456179 + 0.0138860i
\(113\) 46495.8i 0.342545i −0.985224 0.171272i \(-0.945212\pi\)
0.985224 0.171272i \(-0.0547878\pi\)
\(114\) 148588. 25545.4i 1.07084 0.184099i
\(115\) 126949.i 0.895129i
\(116\) −65019.5 16365.8i −0.448641 0.112926i
\(117\) −37670.2 21748.9i −0.254410 0.146883i
\(118\) −64596.5 82870.8i −0.427075 0.547894i
\(119\) −63702.8 36778.8i −0.412374 0.238084i
\(120\) 148020. + 108304.i 0.938353 + 0.686578i
\(121\) −313318. −1.94546
\(122\) −69699.3 + 9716.08i −0.423964 + 0.0591005i
\(123\) −127173. + 73423.4i −0.757936 + 0.437595i
\(124\) −175458. 170198.i −1.02475 0.994034i
\(125\) 159812. 0.914815
\(126\) 2027.76 + 14546.4i 0.0113786 + 0.0816259i
\(127\) −111883. 193787.i −0.615539 1.06615i −0.990290 0.139019i \(-0.955605\pi\)
0.374750 0.927126i \(-0.377728\pi\)
\(128\) 79950.6 + 167235.i 0.431317 + 0.902200i
\(129\) −38282.3 + 22102.3i −0.202546 + 0.116940i
\(130\) 310874. + 126006.i 1.61334 + 0.653932i
\(131\) −1922.40 1109.90i −0.00978737 0.00565074i 0.495098 0.868837i \(-0.335132\pi\)
−0.504886 + 0.863186i \(0.668465\pi\)
\(132\) −102092. 359069.i −0.509986 1.79367i
\(133\) −82067.1 43968.8i −0.402291 0.215534i
\(134\) 123230. 17178.3i 0.592864 0.0826452i
\(135\) −100875. + 174720.i −0.476374 + 0.825104i
\(136\) −24274.9 + 223733.i −0.112541 + 1.03725i
\(137\) 135481. + 234660.i 0.616704 + 1.06816i 0.990083 + 0.140483i \(0.0448657\pi\)
−0.373379 + 0.927679i \(0.621801\pi\)
\(138\) −188441. 76380.7i −0.842323 0.341418i
\(139\) −46087.8 + 26608.8i −0.202325 + 0.116812i −0.597739 0.801690i \(-0.703934\pi\)
0.395415 + 0.918503i \(0.370601\pi\)
\(140\) −30975.2 108943.i −0.133566 0.469764i
\(141\) 200689.i 0.850113i
\(142\) 42217.4 + 54160.6i 0.175699 + 0.225404i
\(143\) −341365. 591261.i −1.39598 2.41791i
\(144\) 38212.5 23640.7i 0.153568 0.0950065i
\(145\) 125338.i 0.495064i
\(146\) −222237. 285107.i −0.862847 1.10694i
\(147\) −112688. + 195181.i −0.430113 + 0.744978i
\(148\) −254302. + 262161.i −0.954324 + 0.983816i
\(149\) 48532.7 84061.1i 0.179089 0.310191i −0.762480 0.647012i \(-0.776018\pi\)
0.941569 + 0.336821i \(0.109352\pi\)
\(150\) −16321.3 + 40266.8i −0.0592279 + 0.146123i
\(151\) −148248. −0.529110 −0.264555 0.964371i \(-0.585225\pi\)
−0.264555 + 0.964371i \(0.585225\pi\)
\(152\) −21720.5 + 284016.i −0.0762537 + 0.997088i
\(153\) 54553.5 0.188406
\(154\) −86594.7 + 213641.i −0.294232 + 0.725909i
\(155\) 228480. 395739.i 0.763870 1.32306i
\(156\) 374082. 385643.i 1.23071 1.26874i
\(157\) −296533. + 513610.i −0.960116 + 1.66297i −0.237915 + 0.971286i \(0.576464\pi\)
−0.722201 + 0.691683i \(0.756869\pi\)
\(158\) −151843. 194799.i −0.483896 0.620789i
\(159\) 623575.i 1.95612i
\(160\) −266689. + 221248.i −0.823579 + 0.683249i
\(161\) 62781.7 + 108741.i 0.190884 + 0.330620i
\(162\) 235742. + 302433.i 0.705749 + 0.905404i
\(163\) 127923.i 0.377119i −0.982062 0.188560i \(-0.939618\pi\)
0.982062 0.188560i \(-0.0603818\pi\)
\(164\) −75874.8 266860.i −0.220287 0.774771i
\(165\) 604350. 348922.i 1.72814 0.997741i
\(166\) 371393. + 150536.i 1.04608 + 0.424005i
\(167\) −211195. 365801.i −0.585994 1.01497i −0.994751 0.102328i \(-0.967371\pi\)
0.408756 0.912644i \(-0.365963\pi\)
\(168\) −180350. 19567.9i −0.492996 0.0534899i
\(169\) 305659. 529417.i 0.823229 1.42587i
\(170\) −416669. + 58083.5i −1.10578 + 0.154145i
\(171\) 69014.7 2191.89i 0.180489 0.00573230i
\(172\) −22840.2 80331.4i −0.0588680 0.207045i
\(173\) −31028.2 17914.2i −0.0788210 0.0455073i 0.460072 0.887882i \(-0.347824\pi\)
−0.538892 + 0.842375i \(0.681157\pi\)
\(174\) −186049. 75411.1i −0.465859 0.188826i
\(175\) 23236.2 13415.4i 0.0573548 0.0331138i
\(176\) 704948. 21458.4i 1.71544 0.0522176i
\(177\) −157303. 272456.i −0.377401 0.653677i
\(178\) −51517.1 369564.i −0.121871 0.874257i
\(179\) 474201. 1.10619 0.553095 0.833118i \(-0.313447\pi\)
0.553095 + 0.833118i \(0.313447\pi\)
\(180\) 60293.3 + 58485.9i 0.138704 + 0.134546i
\(181\) 169766. 98014.3i 0.385171 0.222379i −0.294895 0.955530i \(-0.595285\pi\)
0.680066 + 0.733151i \(0.261951\pi\)
\(182\) −328601. + 45806.9i −0.735343 + 0.102507i
\(183\) −210709. −0.465110
\(184\) 226843. 310028.i 0.493947 0.675082i
\(185\) −591295. 341384.i −1.27021 0.733355i
\(186\) −449961. 577254.i −0.953658 1.22345i
\(187\) 741540. + 428128.i 1.55071 + 0.895303i
\(188\) −367692. 92550.5i −0.758734 0.190978i
\(189\) 199547.i 0.406341i
\(190\) −524787. + 90221.7i −1.05463 + 0.181312i
\(191\) 432804.i 0.858435i 0.903201 + 0.429218i \(0.141211\pi\)
−0.903201 + 0.429218i \(0.858789\pi\)
\(192\) 167960. + 528986.i 0.328815 + 1.03560i
\(193\) −155239. 89627.2i −0.299990 0.173200i 0.342448 0.939537i \(-0.388744\pi\)
−0.642439 + 0.766337i \(0.722077\pi\)
\(194\) 495479. 386218.i 0.945194 0.736764i
\(195\) 869804. + 502181.i 1.63808 + 0.945745i
\(196\) −305632. 296470.i −0.568274 0.551239i
\(197\) 393838. 0.723023 0.361512 0.932368i \(-0.382261\pi\)
0.361512 + 0.932368i \(0.382261\pi\)
\(198\) −23604.4 169329.i −0.0427888 0.306950i
\(199\) −270645. + 156257.i −0.484471 + 0.279709i −0.722278 0.691603i \(-0.756905\pi\)
0.237807 + 0.971312i \(0.423571\pi\)
\(200\) −66247.8 48472.5i −0.117111 0.0856881i
\(201\) 372540. 0.650403
\(202\) 367093. 51172.7i 0.632991 0.0882388i
\(203\) 61984.7 + 107361.i 0.105571 + 0.182854i
\(204\) −164476. + 653443.i −0.276711 + 1.09934i
\(205\) 449152. 259318.i 0.746464 0.430971i
\(206\) −282522. + 697019.i −0.463856 + 1.14440i
\(207\) −80647.1 46561.6i −0.130817 0.0755270i
\(208\) 534040. + 863217.i 0.855885 + 1.38344i
\(209\) 955311. + 511824.i 1.51279 + 0.810503i
\(210\) −46820.9 335875.i −0.0732642 0.525568i
\(211\) −346667. + 600444.i −0.536051 + 0.928467i 0.463061 + 0.886326i \(0.346751\pi\)
−0.999112 + 0.0421405i \(0.986582\pi\)
\(212\) −1.14248e6 287570.i −1.74586 0.439444i
\(213\) 102806. + 178065.i 0.155263 + 0.268924i
\(214\) −126466. + 312008.i −0.188772 + 0.465727i
\(215\) 135206. 78061.2i 0.199480 0.115170i
\(216\) −558554. + 246441.i −0.814574 + 0.359400i
\(217\) 451972.i 0.651572i
\(218\) 20797.1 16211.1i 0.0296389 0.0231031i
\(219\) −541181. 937353.i −0.762487 1.32067i
\(220\) 360571. + 1.26817e6i 0.502266 + 1.76652i
\(221\) 1.23236e6i 1.69729i
\(222\) −862506. + 672311.i −1.17457 + 0.915561i
\(223\) 304547. 527491.i 0.410103 0.710319i −0.584798 0.811179i \(-0.698826\pi\)
0.994901 + 0.100860i \(0.0321595\pi\)
\(224\) 119022. 321403.i 0.158492 0.427987i
\(225\) −9949.44 + 17232.9i −0.0131021 + 0.0226936i
\(226\) 243757. + 98801.8i 0.317458 + 0.128675i
\(227\) 24226.7 0.0312054 0.0156027 0.999878i \(-0.495033\pi\)
0.0156027 + 0.999878i \(0.495033\pi\)
\(228\) −181821. + 833268.i −0.231637 + 1.06157i
\(229\) −667477. −0.841100 −0.420550 0.907269i \(-0.638163\pi\)
−0.420550 + 0.907269i \(0.638163\pi\)
\(230\) 665540. + 269763.i 0.829573 + 0.336250i
\(231\) −345113. + 597752.i −0.425531 + 0.737041i
\(232\) 223963. 306092.i 0.273185 0.373364i
\(233\) −273333. + 473427.i −0.329839 + 0.571298i −0.982480 0.186369i \(-0.940328\pi\)
0.652640 + 0.757668i \(0.273661\pi\)
\(234\) 194068. 151273.i 0.231694 0.180602i
\(235\) 708798.i 0.837246i
\(236\) 571721. 162554.i 0.668196 0.189985i
\(237\) −369761. 640445.i −0.427612 0.740646i
\(238\) 328182. 255813.i 0.375554 0.292738i
\(239\) 825158.i 0.934420i −0.884146 0.467210i \(-0.845259\pi\)
0.884146 0.467210i \(-0.154741\pi\)
\(240\) −882326. + 545862.i −0.988783 + 0.611723i
\(241\) 767729. 443249.i 0.851463 0.491592i −0.00968153 0.999953i \(-0.503082\pi\)
0.861144 + 0.508361i \(0.169748\pi\)
\(242\) 665788. 1.64259e6i 0.730798 1.80298i
\(243\) 164300. + 284575.i 0.178493 + 0.309159i
\(244\) 97171.3 386050.i 0.104487 0.415115i
\(245\) 397992. 689342.i 0.423603 0.733701i
\(246\) −114689. 822736.i −0.120833 0.866808i
\(247\) 49514.6 + 1.55904e6i 0.0516406 + 1.62597i
\(248\) 1.26512e6 558185.i 1.30618 0.576301i
\(249\) 1.03913e6 + 599944.i 1.06212 + 0.613214i
\(250\) −339594. + 837824.i −0.343645 + 0.847818i
\(251\) 192325. 111039.i 0.192686 0.111248i −0.400553 0.916274i \(-0.631182\pi\)
0.593240 + 0.805026i \(0.297849\pi\)
\(252\) −80569.2 20279.8i −0.0799223 0.0201170i
\(253\) −730818. 1.26581e6i −0.717807 1.24328i
\(254\) 1.25369e6 174764.i 1.21929 0.169969i
\(255\) −1.25964e6 −1.21310
\(256\) −1.04663e6 + 63777.7i −0.998149 + 0.0608232i
\(257\) −1.42512e6 + 822794.i −1.34592 + 0.777067i −0.987669 0.156559i \(-0.949960\pi\)
−0.358250 + 0.933626i \(0.616627\pi\)
\(258\) −34524.3 247664.i −0.0322906 0.231640i
\(259\) 675316. 0.625543
\(260\) −1.32119e6 + 1.36202e6i −1.21208 + 1.24954i
\(261\) −79623.3 45970.5i −0.0723501 0.0417713i
\(262\) 9903.76 7719.83i 0.00891347 0.00694792i
\(263\) −536543. 309773.i −0.478316 0.276156i 0.241398 0.970426i \(-0.422394\pi\)
−0.719715 + 0.694270i \(0.755727\pi\)
\(264\) 2.09939e6 + 227783.i 1.85388 + 0.201146i
\(265\) 2.20235e6i 1.92651i
\(266\) 404899. 336810.i 0.350867 0.291864i
\(267\) 1.11723e6i 0.959105i
\(268\) −171801. + 682546.i −0.146113 + 0.580491i
\(269\) 748349. + 432059.i 0.630556 + 0.364052i 0.780967 0.624572i \(-0.214727\pi\)
−0.150412 + 0.988623i \(0.548060\pi\)
\(270\) −701628. 900117.i −0.585730 0.751432i
\(271\) −577576. 333464.i −0.477734 0.275820i 0.241738 0.970342i \(-0.422283\pi\)
−0.719472 + 0.694522i \(0.755616\pi\)
\(272\) −1.12135e6 602687.i −0.919008 0.493935i
\(273\) −993399. −0.806709
\(274\) −1.51811e6 + 211625.i −1.22160 + 0.170290i
\(275\) −270483. + 156164.i −0.215679 + 0.124523i
\(276\) 800862. 825611.i 0.632827 0.652383i
\(277\) −1.17079e6 −0.916808 −0.458404 0.888744i \(-0.651579\pi\)
−0.458404 + 0.888744i \(0.651579\pi\)
\(278\) −41563.7 298162.i −0.0322554 0.231387i
\(279\) −167601. 290293.i −0.128904 0.223268i
\(280\) 636963. + 69110.3i 0.485534 + 0.0526802i
\(281\) 293537. 169474.i 0.221767 0.128037i −0.385001 0.922916i \(-0.625799\pi\)
0.606768 + 0.794879i \(0.292466\pi\)
\(282\) −1.05213e6 426458.i −0.787855 0.319340i
\(283\) −819405. 473084.i −0.608180 0.351133i 0.164073 0.986448i \(-0.447537\pi\)
−0.772253 + 0.635315i \(0.780870\pi\)
\(284\) −373651. + 106238.i −0.274897 + 0.0781601i
\(285\) −1.59355e6 + 50610.7i −1.16212 + 0.0369088i
\(286\) 3.82512e6 533221.i 2.76522 0.385471i
\(287\) −256487. + 444249.i −0.183807 + 0.318362i
\(288\) 42737.6 + 250567.i 0.0303619 + 0.178010i
\(289\) −62862.4 108881.i −0.0442737 0.0766844i
\(290\) 657092. + 266338.i 0.458808 + 0.185968i
\(291\) 1.62900e6 940502.i 1.12768 0.651069i
\(292\) 1.96694e6 559250.i 1.35000 0.383838i
\(293\) 500061.i 0.340294i −0.985419 0.170147i \(-0.945576\pi\)
0.985419 0.170147i \(-0.0544242\pi\)
\(294\) −783791. 1.00552e6i −0.528849 0.678460i
\(295\) 555564. + 962265.i 0.371688 + 0.643783i
\(296\) −834014. 1.89028e6i −0.553279 1.25400i
\(297\) 2.32285e6i 1.52802i
\(298\) 337566. + 433063.i 0.220200 + 0.282495i
\(299\) 1.05182e6 1.82181e6i 0.680400 1.17849i
\(300\) −176419. 171131.i −0.113173 0.109781i
\(301\) −77209.1 + 133730.i −0.0491193 + 0.0850771i
\(302\) 315021. 777200.i 0.198757 0.490360i
\(303\) 1.10976e6 0.694423
\(304\) −1.44282e6 717395.i −0.895422 0.445219i
\(305\) 744186. 0.458070
\(306\) −115924. + 286001.i −0.0707735 + 0.174608i
\(307\) −1.48017e6 + 2.56374e6i −0.896328 + 1.55249i −0.0641760 + 0.997939i \(0.520442\pi\)
−0.832152 + 0.554547i \(0.812891\pi\)
\(308\) −936016. 907957.i −0.562220 0.545367i
\(309\) −1.12596e6 + 1.95021e6i −0.670849 + 1.16194i
\(310\) 1.58918e6 + 2.03876e6i 0.939223 + 1.20493i
\(311\) 1.83209e6i 1.07410i 0.843550 + 0.537050i \(0.180461\pi\)
−0.843550 + 0.537050i \(0.819539\pi\)
\(312\) 1.22685e6 + 2.78063e6i 0.713516 + 1.61717i
\(313\) 1.50593e6 + 2.60836e6i 0.868851 + 1.50489i 0.863172 + 0.504910i \(0.168474\pi\)
0.00567939 + 0.999984i \(0.498192\pi\)
\(314\) −2.06251e6 2.64600e6i −1.18052 1.51449i
\(315\) 155313.i 0.0881924i
\(316\) 1.34391e6 382106.i 0.757097 0.215262i
\(317\) −381195. + 220083.i −0.213059 + 0.123010i −0.602732 0.797944i \(-0.705921\pi\)
0.389673 + 0.920953i \(0.372588\pi\)
\(318\) −3.26914e6 1.32507e6i −1.81286 0.734805i
\(319\) −721541. 1.24975e6i −0.396994 0.687614i
\(320\) −593202. 1.86828e6i −0.323838 1.01992i
\(321\) −504014. + 872977.i −0.273011 + 0.472868i
\(322\) −703492. + 98066.7i −0.378111 + 0.0527086i
\(323\) −1.03142e6 1.66228e6i −0.550087 0.886539i
\(324\) −2.08647e6 + 593236.i −1.10421 + 0.313953i
\(325\) −389290. 224757.i −0.204440 0.118033i
\(326\) 670643. + 271831.i 0.349500 + 0.141662i
\(327\) 68375.2 39476.4i 0.0353614 0.0204159i
\(328\) 1.56026e6 + 169288.i 0.800779 + 0.0868843i
\(329\) 350530. + 607136.i 0.178540 + 0.309241i
\(330\) 545024. + 3.90979e6i 0.275506 + 1.97637i
\(331\) 1.44093e6 0.722891 0.361446 0.932393i \(-0.382283\pi\)
0.361446 + 0.932393i \(0.382283\pi\)
\(332\) −1.57839e6 + 1.62717e6i −0.785905 + 0.810192i
\(333\) −433743. + 250421.i −0.214349 + 0.123754i
\(334\) 2.36652e6 329893.i 1.16076 0.161810i
\(335\) −1.31574e6 −0.640558
\(336\) 485824. 903917.i 0.234763 0.436798i
\(337\) −2.39608e6 1.38338e6i −1.14928 0.663538i −0.200570 0.979679i \(-0.564279\pi\)
−0.948712 + 0.316141i \(0.897613\pi\)
\(338\) 2.12599e6 + 2.72743e6i 1.01221 + 1.29856i
\(339\) 682017. + 393762.i 0.322326 + 0.186095i
\(340\) 580898. 2.30784e6i 0.272523 1.08270i
\(341\) 5.26124e6i 2.45020i
\(342\) −135163. + 366472.i −0.0624872 + 0.169424i
\(343\) 1.78172e6i 0.817719i
\(344\) 469678. + 50959.9i 0.213995 + 0.0232184i
\(345\) 1.86214e6 + 1.07511e6i 0.842295 + 0.486299i
\(346\) 159850. 124601.i 0.0717832 0.0559539i
\(347\) 1.76707e6 + 1.02022e6i 0.787824 + 0.454851i 0.839196 0.543829i \(-0.183026\pi\)
−0.0513717 + 0.998680i \(0.516359\pi\)
\(348\) 790696. 815130.i 0.349994 0.360810i
\(349\) −4.45425e6 −1.95754 −0.978771 0.204958i \(-0.934294\pi\)
−0.978771 + 0.204958i \(0.934294\pi\)
\(350\) 20955.2 + 150324.i 0.00914370 + 0.0655933i
\(351\) −2.89524e6 + 1.67157e6i −1.25435 + 0.724197i
\(352\) −1.38549e6 + 3.74133e6i −0.596001 + 1.60942i
\(353\) −293795. −0.125490 −0.0627448 0.998030i \(-0.519985\pi\)
−0.0627448 + 0.998030i \(0.519985\pi\)
\(354\) 1.76263e6 245711.i 0.747573 0.104212i
\(355\) −363091. 628892.i −0.152913 0.264853i
\(356\) 2.04694e6 + 515227.i 0.856011 + 0.215464i
\(357\) 1.07897e6 622944.i 0.448063 0.258689i
\(358\) −1.00766e6 + 2.48603e6i −0.415534 + 1.02518i
\(359\) −792985. 457830.i −0.324735 0.187486i 0.328766 0.944411i \(-0.393367\pi\)
−0.653501 + 0.756926i \(0.726701\pi\)
\(360\) −434737. + 191811.i −0.176795 + 0.0780042i
\(361\) −1.37163e6 2.06148e6i −0.553946 0.832552i
\(362\) 153101. + 1.09829e6i 0.0614053 + 0.440498i
\(363\) 2.65342e6 4.59585e6i 1.05691 1.83063i
\(364\) 458119. 1.82005e6i 0.181228 0.719996i
\(365\) 1.91135e6 + 3.31056e6i 0.750946 + 1.30068i
\(366\) 447749. 1.10466e6i 0.174716 0.431048i
\(367\) 1.16252e6 671180.i 0.450541 0.260120i −0.257517 0.966274i \(-0.582904\pi\)
0.708059 + 0.706153i \(0.249571\pi\)
\(368\) 1.14331e6 + 1.84804e6i 0.440093 + 0.711362i
\(369\) 380444.i 0.145454i
\(370\) 3.04621e6 2.37448e6i 1.15679 0.901703i
\(371\) 1.08916e6 + 1.88647e6i 0.410823 + 0.711567i
\(372\) 3.98245e6 1.13231e6i 1.49208 0.424236i
\(373\) 3.18199e6i 1.18421i 0.805862 + 0.592103i \(0.201702\pi\)
−0.805862 + 0.592103i \(0.798298\pi\)
\(374\) −3.82024e6 + 2.97782e6i −1.41225 + 1.10083i
\(375\) −1.35341e6 + 2.34417e6i −0.496994 + 0.860819i
\(376\) 1.26653e6 1.73098e6i 0.462006 0.631428i
\(377\) 1.03847e6 1.79868e6i 0.376305 0.651780i
\(378\) 1.04614e6 + 424030.i 0.376583 + 0.152640i
\(379\) 288409. 0.103136 0.0515681 0.998669i \(-0.483578\pi\)
0.0515681 + 0.998669i \(0.483578\pi\)
\(380\) 642158. 2.94295e6i 0.228130 1.04550i
\(381\) 3.79006e6 1.33762
\(382\) −2.26900e6 919692.i −0.795567 0.322466i
\(383\) 1.72744e6 2.99201e6i 0.601735 1.04224i −0.390823 0.920466i \(-0.627810\pi\)
0.992558 0.121770i \(-0.0388571\pi\)
\(384\) −3.13015e6 243535.i −1.08327 0.0842817i
\(385\) 1.21887e6 2.11115e6i 0.419090 0.725885i
\(386\) 799754. 623396.i 0.273205 0.212959i
\(387\) 114523.i 0.0388701i
\(388\) 971902. + 3.41828e6i 0.327750 + 1.15273i
\(389\) 90103.3 + 156064.i 0.0301903 + 0.0522911i 0.880726 0.473627i \(-0.157055\pi\)
−0.850536 + 0.525918i \(0.823722\pi\)
\(390\) −4.48102e6 + 3.49289e6i −1.49182 + 1.16285i
\(391\) 2.63832e6i 0.872741i
\(392\) 2.20372e6 972308.i 0.724338 0.319587i
\(393\) 32560.8 18799.0i 0.0106344 0.00613979i
\(394\) −836892. + 2.06472e6i −0.271599 + 0.670072i
\(395\) 1.30593e6 + 2.26193e6i 0.421140 + 0.729436i
\(396\) 937876. + 236069.i 0.300543 + 0.0756488i
\(397\) 1.46807e6 2.54278e6i 0.467489 0.809714i −0.531821 0.846857i \(-0.678492\pi\)
0.999310 + 0.0371425i \(0.0118255\pi\)
\(398\) −244077. 1.75092e6i −0.0772360 0.554061i
\(399\) 1.33996e6 831427.i 0.421365 0.261452i
\(400\) 394895. 244307.i 0.123405 0.0763458i
\(401\) 5.03095e6 + 2.90462e6i 1.56239 + 0.902046i 0.997015 + 0.0772118i \(0.0246018\pi\)
0.565375 + 0.824834i \(0.308732\pi\)
\(402\) −791633. + 1.95306e6i −0.244320 + 0.602770i
\(403\) 6.55770e6 3.78609e6i 2.01135 1.16126i
\(404\) −511782. + 2.03325e6i −0.156003 + 0.619779i
\(405\) −2.02751e6 3.51175e6i −0.614221 1.06386i
\(406\) −694561. + 96821.7i −0.209120 + 0.0291513i
\(407\) −7.86109e6 −2.35232
\(408\) −3.07621e6 2.25082e6i −0.914884 0.669406i
\(409\) −4.32647e6 + 2.49789e6i −1.27887 + 0.738354i −0.976640 0.214882i \(-0.931063\pi\)
−0.302226 + 0.953236i \(0.597730\pi\)
\(410\) 405061. + 2.90575e6i 0.119004 + 0.853687i
\(411\) −4.58943e6 −1.34015
\(412\) −3.05382e6 2.96228e6i −0.886340 0.859771i
\(413\) −951760. 549499.i −0.274570 0.158523i
\(414\) 415475. 323856.i 0.119136 0.0928649i
\(415\) −3.67003e6 2.11889e6i −1.04604 0.603933i
\(416\) −5.66029e6 + 965438.i −1.60363 + 0.273521i
\(417\) 901377.i 0.253844i
\(418\) −4.71327e6 + 3.92068e6i −1.31942 + 1.09754i
\(419\) 4.36296e6i 1.21408i 0.794673 + 0.607038i \(0.207643\pi\)
−0.794673 + 0.607038i \(0.792357\pi\)
\(420\) 1.86034e6 + 468260.i 0.514599 + 0.129528i
\(421\) −1.00252e6 578808.i −0.275670 0.159158i 0.355791 0.934565i \(-0.384211\pi\)
−0.631462 + 0.775407i \(0.717545\pi\)
\(422\) −2.41122e6 3.09334e6i −0.659106 0.845565i
\(423\) −450278. 259968.i −0.122357 0.0706431i
\(424\) 3.93533e6 5.37845e6i 1.06308 1.45292i
\(425\) 563765. 0.151400
\(426\) −1.15198e6 + 160585.i −0.307553 + 0.0428728i
\(427\) −637449. + 368031.i −0.169190 + 0.0976821i
\(428\) −1.36699e6 1.32601e6i −0.360708 0.349895i
\(429\) 1.15638e7 3.03359
\(430\) 121934. + 874704.i 0.0318018 + 0.228134i
\(431\) 3.58643e6 + 6.21188e6i 0.929971 + 1.61076i 0.783366 + 0.621561i \(0.213501\pi\)
0.146605 + 0.989195i \(0.453165\pi\)
\(432\) −105076. 3.45193e6i −0.0270891 0.889924i
\(433\) 3.74832e6 2.16409e6i 0.960765 0.554698i 0.0643565 0.997927i \(-0.479501\pi\)
0.896408 + 0.443229i \(0.146167\pi\)
\(434\) −2.36950e6 960424.i −0.603853 0.244759i
\(435\) 1.83850e6 + 1.06146e6i 0.465844 + 0.268955i
\(436\) 40794.4 + 143478.i 0.0102774 + 0.0361468i
\(437\) 106004. + 3.33769e6i 0.0265534 + 0.836070i
\(438\) 6.06413e6 845339.i 1.51037 0.210545i
\(439\) 633890. 1.09793e6i 0.156983 0.271903i −0.776796 0.629752i \(-0.783157\pi\)
0.933779 + 0.357849i \(0.116490\pi\)
\(440\) −7.41465e6 804487.i −1.82582 0.198101i
\(441\) −291945. 505664.i −0.0714834 0.123813i
\(442\) −6.46072e6 2.61871e6i −1.57299 0.637577i
\(443\) −2.18499e6 + 1.26150e6i −0.528981 + 0.305407i −0.740601 0.671945i \(-0.765459\pi\)
0.211621 + 0.977352i \(0.432126\pi\)
\(444\) −1.69184e6 5.95038e6i −0.407289 1.43248i
\(445\) 3.94587e6i 0.944588i
\(446\) 2.11826e6 + 2.71751e6i 0.504245 + 0.646895i
\(447\) 822026. + 1.42379e6i 0.194588 + 0.337037i
\(448\) 1.43206e6 + 1.30695e6i 0.337106 + 0.307655i
\(449\) 7.16227e6i 1.67662i −0.545193 0.838311i \(-0.683544\pi\)
0.545193 0.838311i \(-0.316456\pi\)
\(450\) −69202.7 88780.0i −0.0161099 0.0206673i
\(451\) 2.98567e6 5.17133e6i 0.691195 1.19718i
\(452\) −1.03595e6 + 1.06796e6i −0.238502 + 0.245873i
\(453\) 1.25548e6 2.17455e6i 0.287451 0.497880i
\(454\) −51480.9 + 127010.i −0.0117221 + 0.0289201i
\(455\) 3.50850e6 0.794499
\(456\) −3.98210e6 2.72387e6i −0.896809 0.613444i
\(457\) −5.11484e6 −1.14562 −0.572811 0.819687i \(-0.694147\pi\)
−0.572811 + 0.819687i \(0.694147\pi\)
\(458\) 1.41836e6 3.49929e6i 0.315954 0.779501i
\(459\) 2.09643e6 3.63112e6i 0.464459 0.804467i
\(460\) −2.82850e6 + 2.91591e6i −0.623248 + 0.642509i
\(461\) −978360. + 1.69457e6i −0.214411 + 0.371370i −0.953090 0.302687i \(-0.902116\pi\)
0.738679 + 0.674057i \(0.235450\pi\)
\(462\) −2.40041e6 3.07948e6i −0.523215 0.671231i
\(463\) 2.01882e6i 0.437669i −0.975762 0.218834i \(-0.929775\pi\)
0.975762 0.218834i \(-0.0702254\pi\)
\(464\) 1.12880e6 + 1.82458e6i 0.243400 + 0.393430i
\(465\) 3.86990e6 + 6.70286e6i 0.829979 + 1.43757i
\(466\) −1.90115e6 2.43898e6i −0.405557 0.520288i
\(467\) 1.61287e6i 0.342221i 0.985252 + 0.171110i \(0.0547354\pi\)
−0.985252 + 0.171110i \(0.945265\pi\)
\(468\) 380672. + 1.33886e6i 0.0803409 + 0.282567i
\(469\) 1.12703e6 650689.i 0.236593 0.136597i
\(470\) 3.71592e6 + 1.50617e6i 0.775929 + 0.314506i
\(471\) −5.02254e6 8.69930e6i −1.04321 1.80689i
\(472\) −362683. + 3.34271e6i −0.0749328 + 0.690627i
\(473\) 898761. 1.55670e6i 0.184710 0.319928i
\(474\) 4.14330e6 577576.i 0.847034 0.118076i
\(475\) 713209. 22651.4i 0.145038 0.00460639i
\(476\) 643742. + 2.26411e6i 0.130225 + 0.458015i
\(477\) −1.39909e6 807764.i −0.281546 0.162551i
\(478\) 4.32595e6 + 1.75343e6i 0.865987 + 0.351009i
\(479\) −6.91907e6 + 3.99473e6i −1.37787 + 0.795515i −0.991903 0.126997i \(-0.959466\pi\)
−0.385969 + 0.922512i \(0.626133\pi\)
\(480\) −986810. 5.78559e6i −0.195493 1.14616i
\(481\) −5.65699e6 9.79820e6i −1.11487 1.93101i
\(482\) 692366. + 4.96676e6i 0.135743 + 0.973768i
\(483\) −2.12674e6 −0.414807
\(484\) 7.19661e6 + 6.98088e6i 1.39642 + 1.35456i
\(485\) −5.75332e6 + 3.32168e6i −1.11062 + 0.641214i
\(486\) −1.84104e6 + 256640.i −0.353567 + 0.0492872i
\(487\) −6.45985e6 −1.23424 −0.617120 0.786869i \(-0.711701\pi\)
−0.617120 + 0.786869i \(0.711701\pi\)
\(488\) 1.81741e6 + 1.32977e6i 0.345464 + 0.252771i
\(489\) 1.87642e6 + 1.08335e6i 0.354860 + 0.204878i
\(490\) 2.76820e6 + 3.55132e6i 0.520844 + 0.668190i
\(491\) 3.37446e6 + 1.94825e6i 0.631686 + 0.364704i 0.781405 0.624025i \(-0.214504\pi\)
−0.149719 + 0.988729i \(0.547837\pi\)
\(492\) 4.55696e6 + 1.14702e6i 0.848716 + 0.213627i
\(493\) 2.60483e6i 0.482683i
\(494\) −8.27857e6 3.05331e6i −1.52629 0.562929i
\(495\) 1.80794e6i 0.331643i
\(496\) 237996. + 7.81859e6i 0.0434376 + 1.42700i
\(497\) 622027. + 359128.i 0.112958 + 0.0652165i
\(498\) −5.35337e6 + 4.17287e6i −0.967283 + 0.753983i
\(499\) −4.60932e6 2.66119e6i −0.828678 0.478437i 0.0247220 0.999694i \(-0.492130\pi\)
−0.853400 + 0.521257i \(0.825463\pi\)
\(500\) −3.67072e6 3.56069e6i −0.656639 0.636955i
\(501\) 7.15427e6 1.27342
\(502\) 173445. + 1.24423e6i 0.0307187 + 0.220364i
\(503\) 3.70398e6 2.13849e6i 0.652752 0.376867i −0.136758 0.990605i \(-0.543668\pi\)
0.789510 + 0.613738i \(0.210335\pi\)
\(504\) 277525. 379296.i 0.0486660 0.0665123i
\(505\) −3.91948e6 −0.683912
\(506\) 8.18908e6 1.14156e6i 1.42187 0.198208i
\(507\) 5.17712e6 + 8.96703e6i 0.894475 + 1.54928i
\(508\) −1.74783e6 + 6.94393e6i −0.300497 + 1.19384i
\(509\) −4.22094e6 + 2.43696e6i −0.722129 + 0.416921i −0.815536 0.578707i \(-0.803558\pi\)
0.0934071 + 0.995628i \(0.470224\pi\)
\(510\) 2.67668e6 6.60374e6i 0.455692 1.12425i
\(511\) −3.27442e6 1.89049e6i −0.554730 0.320274i
\(512\) 1.88970e6 5.62258e6i 0.318580 0.947896i
\(513\) 2.50626e6 4.67790e6i 0.420468 0.784797i
\(514\) −1.28522e6 9.21970e6i −0.214571 1.53925i
\(515\) 3.97667e6 6.88779e6i 0.660695 1.14436i
\(516\) 1.37176e6 + 345281.i 0.226805 + 0.0570884i
\(517\) −4.08039e6 7.06744e6i −0.671391 1.16288i
\(518\) −1.43502e6 + 3.54039e6i −0.234982 + 0.579731i
\(519\) 525543. 303422.i 0.0856425 0.0494457i
\(520\) −4.33300e6 9.82067e6i −0.702716 1.59270i
\(521\) 1.06481e7i 1.71862i 0.511457 + 0.859309i \(0.329106\pi\)
−0.511457 + 0.859309i \(0.670894\pi\)
\(522\) 410200. 319745.i 0.0658900 0.0513603i
\(523\) −783961. 1.35786e6i −0.125326 0.217070i 0.796535 0.604593i \(-0.206664\pi\)
−0.921860 + 0.387523i \(0.873331\pi\)
\(524\) 19426.6 + 68325.5i 0.00309079 + 0.0108706i
\(525\) 454449.i 0.0719592i
\(526\) 2.76414e6 2.15461e6i 0.435608 0.339550i
\(527\) −4.74838e6 + 8.22444e6i −0.744765 + 1.28997i
\(528\) −5.65529e6 + 1.05222e7i −0.882815 + 1.64255i
\(529\) −966357. + 1.67378e6i −0.150141 + 0.260051i
\(530\) 1.15460e7 + 4.67992e6i 1.78542 + 0.723683i
\(531\) 815064. 0.125446
\(532\) 905356. + 2.83842e6i 0.138688 + 0.434808i
\(533\) 8.59418e6 1.31035
\(534\) 5.85718e6 + 2.37408e6i 0.888864 + 0.360282i
\(535\) 1.78008e6 3.08319e6i 0.268878 0.465711i
\(536\) −3.21322e6 2.35107e6i −0.483091 0.353470i
\(537\) −4.01591e6 + 6.95575e6i −0.600963 + 1.04090i
\(538\) −3.85532e6 + 3.00516e6i −0.574254 + 0.447623i
\(539\) 9.16459e6i 1.35875i
\(540\) 6.20986e6 1.76562e6i 0.916426 0.260563i
\(541\) −4.77013e6 8.26211e6i −0.700708 1.21366i −0.968218 0.250107i \(-0.919534\pi\)
0.267510 0.963555i \(-0.413799\pi\)
\(542\) 2.97553e6 2.31938e6i 0.435077 0.339136i
\(543\) 3.32025e6i 0.483249i
\(544\) 5.54246e6 4.59807e6i 0.802981 0.666160i
\(545\) −241489. + 139423.i −0.0348261 + 0.0201069i
\(546\) 2.11094e6 5.20796e6i 0.303035 0.747629i
\(547\) 5.10285e6 + 8.83839e6i 0.729196 + 1.26300i 0.957223 + 0.289350i \(0.0934392\pi\)
−0.228027 + 0.973655i \(0.573228\pi\)
\(548\) 2.11648e6 8.40850e6i 0.301066 1.19610i
\(549\) 272948. 472759.i 0.0386499 0.0669436i
\(550\) −243932. 1.74987e6i −0.0343844 0.246660i
\(551\) 104659. + 3.29532e6i 0.0146858 + 0.462401i
\(552\) 2.62652e6 + 5.95297e6i 0.366888 + 0.831545i
\(553\) −2.23724e6 1.29167e6i −0.311100 0.179614i
\(554\) 2.48788e6 6.13793e6i 0.344393 0.849664i
\(555\) 1.00151e7 5.78222e6i 1.38014 0.796824i
\(556\) 1.65145e6 + 415682.i 0.226558 + 0.0570261i
\(557\) 3.25025e6 + 5.62959e6i 0.443893 + 0.768845i 0.997974 0.0636173i \(-0.0202637\pi\)
−0.554081 + 0.832462i \(0.686930\pi\)
\(558\) 1.87803e6 261797.i 0.255339 0.0355942i
\(559\) 2.58706e6 0.350169
\(560\) −1.71584e6 + 3.19247e6i −0.231210 + 0.430186i
\(561\) −1.25599e7 + 7.25145e6i −1.68492 + 0.972787i
\(562\) 264722. + 1.89901e6i 0.0353549 + 0.253622i
\(563\) −2.13361e6 −0.283690 −0.141845 0.989889i \(-0.545303\pi\)
−0.141845 + 0.989889i \(0.545303\pi\)
\(564\) 4.47147e6 4.60965e6i 0.591906 0.610197i
\(565\) −2.40876e6 1.39070e6i −0.317447 0.183278i
\(566\) 4.22138e6 3.29050e6i 0.553877 0.431739i
\(567\) 3.47341e6 + 2.00537e6i 0.453731 + 0.261962i
\(568\) 237033. 2.18464e6i 0.0308275 0.284125i
\(569\) 1.38715e6i 0.179615i 0.995959 + 0.0898073i \(0.0286251\pi\)
−0.995959 + 0.0898073i \(0.971375\pi\)
\(570\) 3.12090e6 8.46183e6i 0.402339 1.09088i
\(571\) 1.51901e7i 1.94971i 0.222845 + 0.974854i \(0.428466\pi\)
−0.222845 + 0.974854i \(0.571534\pi\)
\(572\) −5.33278e6 + 2.11865e7i −0.681497 + 2.70751i
\(573\) −6.34852e6 3.66532e6i −0.807767 0.466364i
\(574\) −1.78398e6 2.28866e6i −0.226001 0.289936i
\(575\) −833420. 481175.i −0.105122 0.0606923i
\(576\) −1.40443e6 308391.i −0.176378 0.0387299i
\(577\) 5.10365e6 0.638177 0.319089 0.947725i \(-0.396623\pi\)
0.319089 + 0.947725i \(0.396623\pi\)
\(578\) 704395. 98192.6i 0.0876995 0.0122253i
\(579\) 2.62937e6 1.51807e6i 0.325953 0.188189i
\(580\) −2.79259e6 + 2.87889e6i −0.344697 + 0.355349i
\(581\) 4.19152e6 0.515147
\(582\) 1.46909e6 + 1.05387e7i 0.179780 + 1.28967i
\(583\) −1.26784e7 2.19597e7i −1.54488 2.67581i
\(584\) −1.24777e6 + 1.15002e7i −0.151392 + 1.39532i
\(585\) −2.25345e6 + 1.30103e6i −0.272243 + 0.157180i
\(586\) 2.62160e6 + 1.06261e6i 0.315372 + 0.127829i
\(587\) 825444. + 476570.i 0.0988764 + 0.0570863i 0.548623 0.836070i \(-0.315152\pi\)
−0.449746 + 0.893156i \(0.648486\pi\)
\(588\) 6.93705e6 1.97238e6i 0.827431 0.235259i
\(589\) −5.67665e6 + 1.05954e7i −0.674224 + 1.25843i
\(590\) −6.22529e6 + 867805.i −0.736257 + 0.102634i
\(591\) −3.33533e6 + 5.77696e6i −0.392799 + 0.680348i
\(592\) 1.16822e7 355603.i 1.37000 0.0417024i
\(593\) −7.60192e6 1.31669e7i −0.887741 1.53761i −0.842539 0.538635i \(-0.818940\pi\)
−0.0452018 0.998978i \(-0.514393\pi\)
\(594\) −1.21777e7 4.93597e6i −1.41612 0.573993i
\(595\) −3.81072e6 + 2.20012e6i −0.441281 + 0.254774i
\(596\) −2.98768e6 + 849471.i −0.344523 + 0.0979564i
\(597\) 5.29322e6i 0.607833i
\(598\) 7.31588e6 + 9.38552e6i 0.836591 + 1.07326i
\(599\) 4.88616e6 + 8.46308e6i 0.556418 + 0.963743i 0.997792 + 0.0664203i \(0.0211578\pi\)
−0.441374 + 0.897323i \(0.645509\pi\)
\(600\) 1.27205e6 561244.i 0.144253 0.0636464i
\(601\) 6.17027e6i 0.696816i 0.937343 + 0.348408i \(0.113278\pi\)
−0.937343 + 0.348408i \(0.886722\pi\)
\(602\) −537022. 688945.i −0.0603950 0.0774807i
\(603\) −482579. + 835851.i −0.0540474 + 0.0936129i
\(604\) 3.40512e6 + 3.30304e6i 0.379787 + 0.368402i
\(605\) −9.37138e6 + 1.62317e7i −1.04091 + 1.80292i
\(606\) −2.35821e6 + 5.81802e6i −0.260856 + 0.643566i
\(607\) 1.46736e7 1.61646 0.808229 0.588868i \(-0.200426\pi\)
0.808229 + 0.588868i \(0.200426\pi\)
\(608\) 6.82692e6 6.03964e6i 0.748973 0.662601i
\(609\) −2.09974e6 −0.229415
\(610\) −1.58137e6 + 3.90145e6i −0.172071 + 0.424523i
\(611\) 5.87266e6 1.01717e7i 0.636402 1.10228i
\(612\) −1.25304e6 1.21548e6i −0.135234 0.131181i
\(613\) −841706. + 1.45788e6i −0.0904710 + 0.156700i −0.907709 0.419599i \(-0.862171\pi\)
0.817238 + 0.576300i \(0.195504\pi\)
\(614\) −1.02953e7 1.32078e7i −1.10209 1.41387i
\(615\) 8.78443e6i 0.936539i
\(616\) 6.74903e6 2.97775e6i 0.716621 0.316182i
\(617\) 1.33828e6 + 2.31797e6i 0.141525 + 0.245129i 0.928071 0.372403i \(-0.121466\pi\)
−0.786546 + 0.617532i \(0.788133\pi\)
\(618\) −7.83151e6 1.00470e7i −0.824848 1.05820i
\(619\) 9.26542e6i 0.971937i −0.873976 0.485969i \(-0.838467\pi\)
0.873976 0.485969i \(-0.161533\pi\)
\(620\) −1.40653e7 + 3.99910e6i −1.46950 + 0.417814i
\(621\) −6.19834e6 + 3.57861e6i −0.644980 + 0.372380i
\(622\) −9.60484e6 3.89312e6i −0.995438 0.403479i
\(623\) −1.95140e6 3.37992e6i −0.201431 0.348888i
\(624\) −1.71846e7 + 523097.i −1.76677 + 0.0537800i
\(625\) 5.48855e6 9.50644e6i 0.562027 0.973459i
\(626\) −1.68745e7 + 2.35231e6i −1.72106 + 0.239916i
\(627\) −1.55979e7 + 9.67833e6i −1.58452 + 0.983176i
\(628\) 1.82546e7 5.19023e6i 1.84703 0.525155i
\(629\) 1.22886e7 + 7.09481e6i 1.23844 + 0.715013i
\(630\) 814239. + 330034.i 0.0817335 + 0.0331289i
\(631\) 4.63627e6 2.67675e6i 0.463549 0.267630i −0.249987 0.968249i \(-0.580426\pi\)
0.713535 + 0.700619i \(0.247093\pi\)
\(632\) −852535. + 7.85749e6i −0.0849023 + 0.782512i
\(633\) −5.87169e6 1.01701e7i −0.582443 1.00882i
\(634\) −343776. 2.46611e6i −0.0339666 0.243663i
\(635\) −1.33858e7 −1.31738
\(636\) 1.38936e7 1.43229e7i 1.36198 1.40407i
\(637\) 1.14229e7 6.59502e6i 1.11539 0.643972i
\(638\) 8.08512e6 1.12706e6i 0.786384 0.109622i
\(639\) −532689. −0.0516085
\(640\) 1.10551e7 + 860121.i 1.06687 + 0.0830060i
\(641\) −9.15709e6 5.28685e6i −0.880263 0.508220i −0.00951788 0.999955i \(-0.503030\pi\)
−0.870745 + 0.491735i \(0.836363\pi\)
\(642\) −3.50563e6 4.49737e6i −0.335683 0.430647i
\(643\) 1.59879e7 + 9.23061e6i 1.52498 + 0.880447i 0.999562 + 0.0296016i \(0.00942386\pi\)
0.525417 + 0.850845i \(0.323909\pi\)
\(644\) 980773. 3.89649e6i 0.0931867 0.370219i
\(645\) 2.64433e6i 0.250275i
\(646\) 1.09064e7 1.87503e6i 1.02825 0.176777i
\(647\) 1.11197e7i 1.04432i 0.852849 + 0.522158i \(0.174873\pi\)
−0.852849 + 0.522158i \(0.825127\pi\)
\(648\) 1.32360e6 1.21991e7i 0.123828 1.14127i
\(649\) 1.10791e7 + 6.39651e6i 1.03250 + 0.596117i
\(650\) 2.00553e6 1.56328e6i 0.186186 0.145129i
\(651\) −6.62969e6 3.82765e6i −0.613113 0.353981i
\(652\) −2.85018e6 + 2.93826e6i −0.262575 + 0.270690i
\(653\) −3.18943e6 −0.292705 −0.146353 0.989232i \(-0.546753\pi\)
−0.146353 + 0.989232i \(0.546753\pi\)
\(654\) 61663.2 + 442348.i 0.00563744 + 0.0404408i
\(655\) −114999. + 66394.6i −0.0104735 + 0.00604685i
\(656\) −4.20300e6 + 7.82005e6i −0.381329 + 0.709496i
\(657\) 2.80413e6 0.253446
\(658\) −3.92782e6 + 547537.i −0.353661 + 0.0493002i
\(659\) −9.89419e6 1.71372e7i −0.887496 1.53719i −0.842825 0.538187i \(-0.819109\pi\)
−0.0446709 0.999002i \(-0.514224\pi\)
\(660\) −2.16555e7 5.45083e6i −1.93512 0.487083i
\(661\) 7.46427e6 4.30950e6i 0.664483 0.383639i −0.129500 0.991579i \(-0.541337\pi\)
0.793983 + 0.607940i \(0.208004\pi\)
\(662\) −3.06192e6 + 7.55418e6i −0.271550 + 0.669950i
\(663\) −1.80767e7 1.04366e7i −1.59711 0.922091i
\(664\) −5.17653e6 1.17325e7i −0.455636 1.03269i
\(665\) −4.73248e6 + 2.93645e6i −0.414988 + 0.257495i
\(666\) −391165. 2.80606e6i −0.0341723 0.245139i
\(667\) 2.22323e6 3.85075e6i 0.193495 0.335143i
\(668\) −3.29928e6 + 1.31077e7i −0.286074 + 1.13654i
\(669\) 5.15829e6 + 8.93442e6i 0.445595 + 0.771793i
\(670\) 2.79590e6 6.89786e6i 0.240622 0.593646i
\(671\) 7.42030e6 4.28411e6i 0.636231 0.367328i
\(672\) 3.70649e6 + 4.46775e6i 0.316621 + 0.381651i
\(673\) 6.17832e6i 0.525815i −0.964821 0.262907i \(-0.915319\pi\)
0.964821 0.262907i \(-0.0846814\pi\)
\(674\) 1.23440e7 9.62199e6i 1.04666 0.815859i
\(675\) 764690. + 1.32448e6i 0.0645991 + 0.111889i
\(676\) −1.88164e7 + 5.34997e6i −1.58369 + 0.450282i
\(677\) 1.99546e7i 1.67329i −0.547744 0.836646i \(-0.684513\pi\)
0.547744 0.836646i \(-0.315487\pi\)
\(678\) −3.51359e6 + 2.73879e6i −0.293546 + 0.228815i
\(679\) 3.28542e6 5.69051e6i 0.273474 0.473671i
\(680\) 1.08646e7 + 7.94947e6i 0.901036 + 0.659274i
\(681\) −205171. + 355366.i −0.0169530 + 0.0293635i
\(682\) 2.75824e7 + 1.11799e7i 2.27076 + 0.920403i
\(683\) −8.07245e6 −0.662146 −0.331073 0.943605i \(-0.607411\pi\)
−0.331073 + 0.943605i \(0.607411\pi\)
\(684\) −1.63404e6 1.48734e6i −0.133543 0.121554i
\(685\) 1.62090e7 1.31987
\(686\) −9.34079e6 3.78609e6i −0.757832 0.307171i
\(687\) 5.65271e6 9.79079e6i 0.456946 0.791454i
\(688\) −1.26521e6 + 2.35403e6i −0.101904 + 0.189601i
\(689\) 1.82473e7 3.16053e7i 1.46437 2.53636i
\(690\) −9.59329e6 + 7.47783e6i −0.767087 + 0.597933i
\(691\) 4.58029e6i 0.364920i 0.983213 + 0.182460i \(0.0584061\pi\)
−0.983213 + 0.182460i \(0.941594\pi\)
\(692\) 313553. + 1.10280e6i 0.0248912 + 0.0875448i
\(693\) −894101. 1.54863e6i −0.0707218 0.122494i
\(694\) −9.10351e6 + 7.09605e6i −0.717481 + 0.559265i
\(695\) 3.18350e6i 0.250002i
\(696\) 2.59318e6 + 5.87740e6i 0.202913 + 0.459899i
\(697\) −9.33449e6 + 5.38927e6i −0.727794 + 0.420192i
\(698\) 9.46512e6 2.33517e7i 0.735339 1.81418i
\(699\) −4.62960e6 8.01870e6i −0.358385 0.620741i
\(700\) −832616. 209575.i −0.0642243 0.0161657i
\(701\) −986836. + 1.70925e6i −0.0758490 + 0.131374i −0.901455 0.432872i \(-0.857500\pi\)
0.825606 + 0.564247i \(0.190833\pi\)
\(702\) −2.61103e6 1.87305e7i −0.199972 1.43452i
\(703\) 1.58311e7 + 8.48179e6i 1.20816 + 0.647290i
\(704\) −1.66701e7 1.52137e7i −1.26767 1.15692i
\(705\) 1.03969e7 + 6.00266e6i 0.787828 + 0.454853i
\(706\) 624303. 1.54024e6i 0.0471394 0.116299i
\(707\) 3.35732e6 1.93835e6i 0.252606 0.145842i
\(708\) −2.45737e6 + 9.76285e6i −0.184242 + 0.731970i
\(709\) 3.32347e6 + 5.75641e6i 0.248299 + 0.430067i 0.963054 0.269308i \(-0.0867950\pi\)
−0.714755 + 0.699375i \(0.753462\pi\)
\(710\) 4.06857e6 567158.i 0.302897 0.0422239i
\(711\) 1.91592e6 0.142136
\(712\) −7.05078e6 + 9.63636e6i −0.521239 + 0.712382i
\(713\) 1.40392e7 8.10552e6i 1.03423 0.597114i
\(714\) 973054. + 6.98031e6i 0.0714318 + 0.512424i
\(715\) −4.08411e7 −2.98767
\(716\) −1.08920e7 1.05655e7i −0.794005 0.770204i
\(717\) 1.21037e7 + 6.98808e6i 0.879267 + 0.507645i
\(718\) 4.08527e6 3.18441e6i 0.295740 0.230525i
\(719\) 9.07496e6 + 5.23943e6i 0.654670 + 0.377974i 0.790243 0.612793i \(-0.209954\pi\)
−0.135573 + 0.990767i \(0.543287\pi\)
\(720\) −81783.5 2.68673e6i −0.00587942 0.193149i
\(721\) 7.86651e6i 0.563565i
\(722\) 1.37221e7 2.81027e6i 0.979666 0.200634i
\(723\) 1.50151e7i 1.06827i
\(724\) −6.08317e6 1.53117e6i −0.431304 0.108562i
\(725\) −822840. 475067.i −0.0581394 0.0335668i
\(726\) 1.84557e7 + 2.36767e7i 1.29954 + 1.66717i
\(727\) 6.13678e6 + 3.54307e6i 0.430631 + 0.248625i 0.699615 0.714520i \(-0.253355\pi\)
−0.268985 + 0.963144i \(0.586688\pi\)
\(728\) 8.56825e6 + 6.26926e6i 0.599189 + 0.438417i
\(729\) 1.09065e7 0.760090
\(730\) −2.14174e7 + 2.98558e6i −1.48751 + 0.207358i
\(731\) −2.80991e6 + 1.62230e6i −0.194491 + 0.112289i
\(732\) 4.83980e6 + 4.69471e6i 0.333848 + 0.323841i
\(733\) −1.66167e7 −1.14232 −0.571158 0.820840i \(-0.693506\pi\)
−0.571158 + 0.820840i \(0.693506\pi\)
\(734\) 1.04840e6 + 7.52082e6i 0.0718269 + 0.515258i
\(735\) 6.74101e6 + 1.16758e7i 0.460263 + 0.797200i
\(736\) −1.21180e7 + 2.06688e6i −0.824584 + 0.140644i
\(737\) −1.31193e7 + 7.57442e6i −0.889695 + 0.513666i
\(738\) 1.99450e6 + 808429.i 0.134801 + 0.0546388i
\(739\) −3.67393e6 2.12115e6i −0.247469 0.142876i 0.371136 0.928579i \(-0.378968\pi\)
−0.618605 + 0.785702i \(0.712302\pi\)
\(740\) 5.97527e6 + 2.10157e7i 0.401124 + 1.41079i
\(741\) −2.32878e7 1.24768e7i −1.55806 0.834754i
\(742\) −1.22044e7 + 1.70129e6i −0.813778 + 0.113441i
\(743\) 7.88817e6 1.36627e7i 0.524209 0.907956i −0.475394 0.879773i \(-0.657695\pi\)
0.999603 0.0281832i \(-0.00897216\pi\)
\(744\) −2.52635e6 + 2.32844e7i −0.167325 + 1.54217i
\(745\) −2.90324e6 5.02856e6i −0.191643 0.331935i
\(746\) −1.66818e7 6.76162e6i −1.09748 0.444840i
\(747\) −2.69214e6 + 1.55431e6i −0.176521 + 0.101914i
\(748\) −7.49355e6 2.63556e7i −0.489704 1.72234i
\(749\) 3.52130e6i 0.229350i
\(750\) −9.41355e6 1.20766e7i −0.611083 0.783958i
\(751\) −4.78225e6 8.28310e6i −0.309409 0.535912i 0.668824 0.743420i \(-0.266798\pi\)
−0.978233 + 0.207509i \(0.933464\pi\)
\(752\) 6.38347e6 + 1.03182e7i 0.411635 + 0.665362i
\(753\) 3.76145e6i 0.241751i
\(754\) 7.22300e6 + 9.26638e6i 0.462689 + 0.593583i
\(755\) −4.43412e6 + 7.68012e6i −0.283100 + 0.490344i
\(756\) −4.44602e6 + 4.58341e6i −0.282922 + 0.291665i
\(757\) 9.83503e6 1.70348e7i 0.623787 1.08043i −0.364988 0.931012i \(-0.618927\pi\)
0.988774 0.149418i \(-0.0477399\pi\)
\(758\) −612858. + 1.51200e6i −0.0387425 + 0.0955829i
\(759\) 2.47566e7 1.55986
\(760\) 1.40640e7 + 9.62022e6i 0.883235 + 0.604158i
\(761\) 1.18510e7 0.741809 0.370904 0.928671i \(-0.379048\pi\)
0.370904 + 0.928671i \(0.379048\pi\)
\(762\) −8.05373e6 + 1.98696e7i −0.502470 + 1.23966i
\(763\) 137901. 238852.i 0.00857546 0.0148531i
\(764\) 9.64309e6 9.94109e6i 0.597700 0.616170i
\(765\) 1.63170e6 2.82620e6i 0.100806 0.174602i
\(766\) 1.20151e7 + 1.54141e7i 0.739869 + 0.949176i
\(767\) 1.84122e7i 1.13010i
\(768\) 7.92820e6 1.58925e7i 0.485034 0.972277i
\(769\) 8.61552e6 + 1.49225e7i