Properties

Label 33.6.f.a.8.1
Level $33$
Weight $6$
Character 33.8
Analytic conductor $5.293$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 33 = 3 \cdot 11 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 33.f (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.29266605383\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(18\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 8.1
Character \(\chi\) \(=\) 33.8
Dual form 33.6.f.a.29.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-8.92830 + 6.48679i) q^{2} +(-5.92302 + 14.4194i) q^{3} +(27.7475 - 85.3981i) q^{4} +(33.7792 - 46.4931i) q^{5} +(-40.6528 - 167.162i) q^{6} +(-11.4606 - 3.72378i) q^{7} +(197.091 + 606.584i) q^{8} +(-172.836 - 170.812i) q^{9} +O(q^{10})\) \(q+(-8.92830 + 6.48679i) q^{2} +(-5.92302 + 14.4194i) q^{3} +(27.7475 - 85.3981i) q^{4} +(33.7792 - 46.4931i) q^{5} +(-40.6528 - 167.162i) q^{6} +(-11.4606 - 3.72378i) q^{7} +(197.091 + 606.584i) q^{8} +(-172.836 - 170.812i) q^{9} +634.222i q^{10} +(234.344 - 325.782i) q^{11} +(1067.04 + 905.916i) q^{12} +(-17.9032 - 24.6416i) q^{13} +(126.479 - 41.0956i) q^{14} +(470.325 + 762.454i) q^{15} +(-3369.87 - 2448.35i) q^{16} +(743.029 + 539.842i) q^{17} +(2651.15 + 403.915i) q^{18} +(1398.06 - 454.258i) q^{19} +(-3033.13 - 4174.75i) q^{20} +(121.576 - 143.199i) q^{21} +(20.9862 + 4428.82i) q^{22} -1182.79i q^{23} +(-9913.93 - 750.885i) q^{24} +(-54.8941 - 168.947i) q^{25} +(319.690 + 103.873i) q^{26} +(3486.71 - 1480.45i) q^{27} +(-636.007 + 875.389i) q^{28} +(335.569 - 1032.78i) q^{29} +(-9145.08 - 3756.51i) q^{30} +(6582.67 - 4782.59i) q^{31} +25559.5 q^{32} +(3309.54 + 5308.70i) q^{33} -10135.8 q^{34} +(-560.260 + 407.053i) q^{35} +(-19382.8 + 10020.2i) q^{36} +(-923.903 + 2843.48i) q^{37} +(-9535.64 + 13124.7i) q^{38} +(461.357 - 112.199i) q^{39} +(34859.6 + 11326.6i) q^{40} +(3447.83 + 10611.3i) q^{41} +(-156.567 + 2067.16i) q^{42} -18700.4i q^{43} +(-21318.7 - 29052.2i) q^{44} +(-13779.8 + 2265.76i) q^{45} +(7672.48 + 10560.3i) q^{46} +(5459.56 - 1773.92i) q^{47} +(55263.4 - 34089.7i) q^{48} +(-13479.7 - 9793.55i) q^{49} +(1586.03 + 1152.32i) q^{50} +(-12185.2 + 7516.50i) q^{51} +(-2601.11 + 845.153i) q^{52} +(-9690.42 - 13337.7i) q^{53} +(-21527.0 + 35835.5i) q^{54} +(-7230.66 - 21900.0i) q^{55} -7685.76i q^{56} +(-1730.65 + 22849.7i) q^{57} +(3703.34 + 11397.7i) q^{58} +(8013.95 + 2603.89i) q^{59} +(78162.4 - 19008.7i) q^{60} +(9774.99 - 13454.1i) q^{61} +(-27748.4 + 85400.8i) q^{62} +(1344.73 + 2601.22i) q^{63} +(-120367. + 87451.6i) q^{64} -1750.42 q^{65} +(-63985.0 - 25929.4i) q^{66} -12306.1 q^{67} +(66718.7 - 48474.0i) q^{68} +(17055.0 + 7005.67i) q^{69} +(2361.70 - 7268.58i) q^{70} +(11143.3 - 15337.4i) q^{71} +(69547.7 - 138505. i) q^{72} +(9033.18 + 2935.06i) q^{73} +(-10196.2 - 31380.6i) q^{74} +(2761.24 + 209.137i) q^{75} -131996. i q^{76} +(-3898.87 + 2861.02i) q^{77} +(-3391.32 + 3994.47i) q^{78} +(46837.8 + 64466.6i) q^{79} +(-227663. + 73972.1i) q^{80} +(695.288 + 59044.9i) q^{81} +(-99616.7 - 72375.7i) q^{82} +(-12279.6 - 8921.66i) q^{83} +(-8855.46 - 14355.8i) q^{84} +(50197.8 - 16310.3i) q^{85} +(121305. + 166962. i) q^{86} +(12904.4 + 10955.9i) q^{87} +(243801. + 77940.6i) q^{88} -87903.7i q^{89} +(108333. - 109616. i) q^{90} +(113.421 + 349.075i) q^{91} +(-101008. - 32819.4i) q^{92} +(29972.6 + 123245. i) q^{93} +(-37237.5 + 51253.1i) q^{94} +(26105.6 - 80344.7i) q^{95} +(-151389. + 368551. i) q^{96} +(24469.8 - 17778.3i) q^{97} +183879. q^{98} +(-96150.6 + 16277.9i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72q + 18q^{3} - 262q^{4} + 15q^{6} - 10q^{7} + 292q^{9} + O(q^{10}) \) \( 72q + 18q^{3} - 262q^{4} + 15q^{6} - 10q^{7} + 292q^{9} + 1854q^{12} - 10q^{13} - 762q^{15} - 10122q^{16} + 4815q^{18} + 4460q^{19} + 4628q^{22} - 805q^{24} + 13708q^{25} + 6108q^{27} - 28130q^{28} - 15470q^{30} + 4340q^{31} - 508q^{33} + 18732q^{34} - 56461q^{36} + 978q^{37} + 23360q^{39} + 69750q^{40} + 60788q^{42} - 31356q^{45} - 52090q^{46} + 4238q^{48} - 58448q^{49} - 178950q^{51} - 14190q^{52} + 86600q^{55} + 266190q^{57} + 137102q^{58} + 284090q^{60} - 77890q^{61} - 120330q^{63} - 379114q^{64} - 323304q^{66} + 42668q^{67} - 271816q^{69} + 87176q^{70} + 343960q^{72} + 116440q^{73} + 326202q^{75} + 155512q^{78} - 350590q^{79} - 208088q^{81} - 606424q^{82} - 220680q^{84} + 665610q^{85} + 1152974q^{88} + 293440q^{90} + 621014q^{91} + 478456q^{93} - 521270q^{94} - 1246430q^{96} - 1030446q^{97} - 590000q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).

\(n\) \(13\) \(23\)
\(\chi(n)\) \(e\left(\frac{3}{10}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −8.92830 + 6.48679i −1.57831 + 1.14671i −0.659720 + 0.751512i \(0.729325\pi\)
−0.918595 + 0.395201i \(0.870675\pi\)
\(3\) −5.92302 + 14.4194i −0.379962 + 0.925002i
\(4\) 27.7475 85.3981i 0.867110 2.66869i
\(5\) 33.7792 46.4931i 0.604261 0.831694i −0.391829 0.920038i \(-0.628158\pi\)
0.996090 + 0.0883444i \(0.0281576\pi\)
\(6\) −40.6528 167.162i −0.461012 1.89565i
\(7\) −11.4606 3.72378i −0.0884021 0.0287236i 0.264482 0.964391i \(-0.414799\pi\)
−0.352884 + 0.935667i \(0.614799\pi\)
\(8\) 197.091 + 606.584i 1.08879 + 3.35094i
\(9\) −172.836 170.812i −0.711258 0.702931i
\(10\) 634.222i 2.00559i
\(11\) 234.344 325.782i 0.583945 0.811793i
\(12\) 1067.04 + 905.916i 2.13907 + 1.81608i
\(13\) −17.9032 24.6416i −0.0293813 0.0404399i 0.794074 0.607822i \(-0.207956\pi\)
−0.823455 + 0.567382i \(0.807956\pi\)
\(14\) 126.479 41.0956i 0.172464 0.0560370i
\(15\) 470.325 + 762.454i 0.539722 + 0.874954i
\(16\) −3369.87 2448.35i −3.29089 2.39097i
\(17\) 743.029 + 539.842i 0.623567 + 0.453048i 0.854166 0.520001i \(-0.174068\pi\)
−0.230598 + 0.973049i \(0.574068\pi\)
\(18\) 2651.15 + 403.915i 1.92865 + 0.293839i
\(19\) 1398.06 454.258i 0.888469 0.288681i 0.171000 0.985271i \(-0.445300\pi\)
0.717470 + 0.696590i \(0.245300\pi\)
\(20\) −3033.13 4174.75i −1.69557 2.33375i
\(21\) 121.576 143.199i 0.0601589 0.0708583i
\(22\) 20.9862 + 4428.82i 0.00924436 + 1.95088i
\(23\) 1182.79i 0.466215i −0.972451 0.233108i \(-0.925111\pi\)
0.972451 0.233108i \(-0.0748895\pi\)
\(24\) −9913.93 750.885i −3.51332 0.266100i
\(25\) −54.8941 168.947i −0.0175661 0.0540629i
\(26\) 319.690 + 103.873i 0.0927460 + 0.0301350i
\(27\) 3486.71 1480.45i 0.920464 0.390827i
\(28\) −636.007 + 875.389i −0.153309 + 0.211011i
\(29\) 335.569 1032.78i 0.0740947 0.228040i −0.907150 0.420808i \(-0.861747\pi\)
0.981244 + 0.192768i \(0.0617465\pi\)
\(30\) −9145.08 3756.51i −1.85517 0.762047i
\(31\) 6582.67 4782.59i 1.23026 0.893838i 0.233353 0.972392i \(-0.425030\pi\)
0.996910 + 0.0785537i \(0.0250302\pi\)
\(32\) 25559.5 4.41242
\(33\) 3309.54 + 5308.70i 0.529033 + 0.848601i
\(34\) −10135.8 −1.50370
\(35\) −560.260 + 407.053i −0.0773072 + 0.0561669i
\(36\) −19382.8 + 10020.2i −2.49264 + 1.28861i
\(37\) −923.903 + 2843.48i −0.110949 + 0.341465i −0.991081 0.133264i \(-0.957454\pi\)
0.880132 + 0.474729i \(0.157454\pi\)
\(38\) −9535.64 + 13124.7i −1.07125 + 1.47445i
\(39\) 461.357 112.199i 0.0485708 0.0118122i
\(40\) 34859.6 + 11326.6i 3.44486 + 1.11930i
\(41\) 3447.83 + 10611.3i 0.320322 + 0.985848i 0.973508 + 0.228652i \(0.0734316\pi\)
−0.653187 + 0.757197i \(0.726568\pi\)
\(42\) −156.567 + 2067.16i −0.0136955 + 0.180822i
\(43\) 18700.4i 1.54234i −0.636632 0.771168i \(-0.719673\pi\)
0.636632 0.771168i \(-0.280327\pi\)
\(44\) −21318.7 29052.2i −1.66008 2.26228i
\(45\) −13779.8 + 2265.76i −1.01441 + 0.166794i
\(46\) 7672.48 + 10560.3i 0.534615 + 0.735835i
\(47\) 5459.56 1773.92i 0.360506 0.117136i −0.123163 0.992386i \(-0.539304\pi\)
0.483669 + 0.875251i \(0.339304\pi\)
\(48\) 55263.4 34089.7i 3.46206 2.13560i
\(49\) −13479.7 9793.55i −0.802027 0.582707i
\(50\) 1586.03 + 1152.32i 0.0897194 + 0.0651850i
\(51\) −12185.2 + 7516.50i −0.656002 + 0.404660i
\(52\) −2601.11 + 845.153i −0.133399 + 0.0433438i
\(53\) −9690.42 13337.7i −0.473863 0.652217i 0.503448 0.864026i \(-0.332065\pi\)
−0.977311 + 0.211809i \(0.932065\pi\)
\(54\) −21527.0 + 35835.5i −1.00461 + 1.67236i
\(55\) −7230.66 21900.0i −0.322308 0.976198i
\(56\) 7685.76i 0.327504i
\(57\) −1730.65 + 22849.7i −0.0705540 + 0.931524i
\(58\) 3703.34 + 11397.7i 0.144552 + 0.444884i
\(59\) 8013.95 + 2603.89i 0.299721 + 0.0973852i 0.455017 0.890483i \(-0.349633\pi\)
−0.155296 + 0.987868i \(0.549633\pi\)
\(60\) 78162.4 19008.7i 2.80298 0.681669i
\(61\) 9774.99 13454.1i 0.336350 0.462946i −0.607021 0.794686i \(-0.707636\pi\)
0.943371 + 0.331740i \(0.107636\pi\)
\(62\) −27748.4 + 85400.8i −0.916766 + 2.82152i
\(63\) 1344.73 + 2601.22i 0.0426860 + 0.0825705i
\(64\) −120367. + 87451.6i −3.67330 + 2.66881i
\(65\) −1750.42 −0.0513876
\(66\) −63985.0 25929.4i −1.80808 0.732710i
\(67\) −12306.1 −0.334913 −0.167457 0.985879i \(-0.553555\pi\)
−0.167457 + 0.985879i \(0.553555\pi\)
\(68\) 66718.7 48474.0i 1.74975 1.27127i
\(69\) 17055.0 + 7005.67i 0.431250 + 0.177144i
\(70\) 2361.70 7268.58i 0.0576077 0.177298i
\(71\) 11143.3 15337.4i 0.262341 0.361081i −0.657444 0.753503i \(-0.728363\pi\)
0.919785 + 0.392422i \(0.128363\pi\)
\(72\) 69547.7 138505.i 1.58107 3.14872i
\(73\) 9033.18 + 2935.06i 0.198396 + 0.0644628i 0.406530 0.913638i \(-0.366739\pi\)
−0.208133 + 0.978100i \(0.566739\pi\)
\(74\) −10196.2 31380.6i −0.216450 0.666165i
\(75\) 2761.24 + 209.137i 0.0566827 + 0.00429317i
\(76\) 131996.i 2.62137i
\(77\) −3898.87 + 2861.02i −0.0749396 + 0.0549912i
\(78\) −3391.32 + 3994.47i −0.0631149 + 0.0743401i
\(79\) 46837.8 + 64466.6i 0.844361 + 1.16216i 0.985077 + 0.172114i \(0.0550597\pi\)
−0.140716 + 0.990050i \(0.544940\pi\)
\(80\) −227663. + 73972.1i −3.97711 + 1.29224i
\(81\) 695.288 + 59044.9i 0.0117748 + 0.999931i
\(82\) −99616.7 72375.7i −1.63605 1.18866i
\(83\) −12279.6 8921.66i −0.195654 0.142151i 0.485645 0.874156i \(-0.338585\pi\)
−0.681299 + 0.732005i \(0.738585\pi\)
\(84\) −8855.46 14355.8i −0.136934 0.221987i
\(85\) 50197.8 16310.3i 0.753594 0.244858i
\(86\) 121305. + 166962.i 1.76862 + 2.43429i
\(87\) 12904.4 + 10955.9i 0.182784 + 0.155184i
\(88\) 243801. + 77940.6i 3.35606 + 1.07289i
\(89\) 87903.7i 1.17634i −0.808738 0.588169i \(-0.799849\pi\)
0.808738 0.588169i \(-0.200151\pi\)
\(90\) 108333. 109616.i 1.40979 1.42649i
\(91\) 113.421 + 349.075i 0.00143579 + 0.00441892i
\(92\) −101008. 32819.4i −1.24418 0.404260i
\(93\) 29972.6 + 123245.i 0.359349 + 1.47762i
\(94\) −37237.5 + 51253.1i −0.434672 + 0.598274i
\(95\) 26105.6 80344.7i 0.296773 0.913373i
\(96\) −151389. + 368551.i −1.67655 + 4.08150i
\(97\) 24469.8 17778.3i 0.264059 0.191850i −0.447876 0.894096i \(-0.647819\pi\)
0.711934 + 0.702246i \(0.247819\pi\)
\(98\) 183879. 1.93405
\(99\) −96150.6 + 16277.9i −0.985970 + 0.166921i
\(100\) −15950.9 −0.159509
\(101\) −118548. + 86130.1i −1.15635 + 0.840140i −0.989313 0.145810i \(-0.953421\pi\)
−0.167041 + 0.985950i \(0.553421\pi\)
\(102\) 60034.7 146152.i 0.571350 1.39093i
\(103\) −3237.99 + 9965.50i −0.0300734 + 0.0925563i −0.964967 0.262373i \(-0.915495\pi\)
0.934893 + 0.354929i \(0.115495\pi\)
\(104\) 11418.7 15716.4i 0.103522 0.142485i
\(105\) −2551.01 10489.6i −0.0225807 0.0928506i
\(106\) 173038. + 56223.4i 1.49581 + 0.486018i
\(107\) −35400.3 108951.i −0.298914 0.919964i −0.981878 0.189512i \(-0.939309\pi\)
0.682964 0.730452i \(-0.260691\pi\)
\(108\) −29680.2 338837.i −0.244854 2.79532i
\(109\) 101268.i 0.816406i 0.912891 + 0.408203i \(0.133844\pi\)
−0.912891 + 0.408203i \(0.866156\pi\)
\(110\) 206618. + 148626.i 1.62812 + 1.17115i
\(111\) −35528.9 30164.1i −0.273699 0.232371i
\(112\) 29503.6 + 40608.3i 0.222244 + 0.305893i
\(113\) −22076.0 + 7172.93i −0.162639 + 0.0528446i −0.389205 0.921151i \(-0.627250\pi\)
0.226566 + 0.973996i \(0.427250\pi\)
\(114\) −132770. 215236.i −0.956834 1.55114i
\(115\) −54991.4 39953.6i −0.387748 0.281716i
\(116\) −78885.9 57314.0i −0.544320 0.395472i
\(117\) −1114.78 + 7317.03i −0.00752881 + 0.0494163i
\(118\) −88441.8 + 28736.5i −0.584726 + 0.189989i
\(119\) −6505.31 8953.80i −0.0421115 0.0579615i
\(120\) −369796. + 435565.i −2.34428 + 2.76121i
\(121\) −51216.8 152690.i −0.318016 0.948085i
\(122\) 183531.i 1.11637i
\(123\) −173430. 13135.7i −1.03362 0.0782869i
\(124\) −225771. 694852.i −1.31860 4.05825i
\(125\) 161091. + 52341.5i 0.922136 + 0.299620i
\(126\) −28879.7 14501.4i −0.162057 0.0813737i
\(127\) −158891. + 218695.i −0.874159 + 1.20318i 0.103845 + 0.994593i \(0.466885\pi\)
−0.978005 + 0.208583i \(0.933115\pi\)
\(128\) 254644. 783715.i 1.37376 4.22798i
\(129\) 269647. + 110763.i 1.42666 + 0.586029i
\(130\) 15628.3 11354.6i 0.0811058 0.0589268i
\(131\) −94445.5 −0.480842 −0.240421 0.970669i \(-0.577286\pi\)
−0.240421 + 0.970669i \(0.577286\pi\)
\(132\) 545185. 135325.i 2.72338 0.675995i
\(133\) −17714.2 −0.0868346
\(134\) 109872. 79826.8i 0.528598 0.384049i
\(135\) 48947.6 212117.i 0.231152 1.00171i
\(136\) −181015. + 557108.i −0.839205 + 2.58281i
\(137\) −176965. + 243572.i −0.805540 + 1.10873i 0.186457 + 0.982463i \(0.440300\pi\)
−0.991996 + 0.126267i \(0.959700\pi\)
\(138\) −197716. + 48083.5i −0.883782 + 0.214931i
\(139\) 20390.0 + 6625.13i 0.0895120 + 0.0290842i 0.353431 0.935461i \(-0.385015\pi\)
−0.263919 + 0.964545i \(0.585015\pi\)
\(140\) 19215.7 + 59139.9i 0.0828583 + 0.255012i
\(141\) −6758.34 + 89230.3i −0.0286281 + 0.377976i
\(142\) 209220.i 0.870730i
\(143\) −12223.3 + 57.9207i −0.0499860 + 0.000236861i
\(144\) 164224. + 998777.i 0.659981 + 4.01386i
\(145\) −36681.7 50488.0i −0.144887 0.199420i
\(146\) −99690.0 + 32391.2i −0.387052 + 0.125761i
\(147\) 221057. 136361.i 0.843745 0.520470i
\(148\) 217192. + 157799.i 0.815059 + 0.592175i
\(149\) −167641. 121798.i −0.618608 0.449445i 0.233827 0.972278i \(-0.424875\pi\)
−0.852435 + 0.522833i \(0.824875\pi\)
\(150\) −26009.8 + 16044.3i −0.0943862 + 0.0582228i
\(151\) −413656. + 134405.i −1.47638 + 0.479704i −0.933028 0.359804i \(-0.882844\pi\)
−0.543348 + 0.839507i \(0.682844\pi\)
\(152\) 551092. + 758513.i 1.93471 + 2.66289i
\(153\) −36210.1 220222.i −0.125055 0.760559i
\(154\) 16251.4 50835.1i 0.0552191 0.172728i
\(155\) 467601.i 1.56331i
\(156\) 3219.89 42512.2i 0.0105933 0.139863i
\(157\) 122925. + 378325.i 0.398008 + 1.22494i 0.926594 + 0.376064i \(0.122723\pi\)
−0.528586 + 0.848880i \(0.677277\pi\)
\(158\) −836363. 271751.i −2.66534 0.866020i
\(159\) 249718. 60730.0i 0.783352 0.190507i
\(160\) 863379. 1.18834e6i 2.66625 3.66978i
\(161\) −4404.44 + 13555.5i −0.0133914 + 0.0412144i
\(162\) −389219. 522660.i −1.16522 1.56470i
\(163\) 142381. 103446.i 0.419743 0.304961i −0.357791 0.933802i \(-0.616470\pi\)
0.777534 + 0.628840i \(0.216470\pi\)
\(164\) 1.00186e6 2.90868
\(165\) 358612. + 25452.9i 1.02545 + 0.0727827i
\(166\) 167509. 0.471811
\(167\) 143489. 104251.i 0.398132 0.289260i −0.370648 0.928773i \(-0.620864\pi\)
0.768780 + 0.639514i \(0.220864\pi\)
\(168\) 110824. + 45522.9i 0.302942 + 0.124439i
\(169\) 114449. 352238.i 0.308245 0.948680i
\(170\) −342380. + 471246.i −0.908628 + 1.25062i
\(171\) −319228. 160294.i −0.834854 0.419206i
\(172\) −1.59697e6 518888.i −4.11601 1.33737i
\(173\) 42340.3 + 130310.i 0.107557 + 0.331026i 0.990322 0.138788i \(-0.0443208\pi\)
−0.882765 + 0.469815i \(0.844321\pi\)
\(174\) −186282. 14109.1i −0.466443 0.0353286i
\(175\) 2140.64i 0.00528384i
\(176\) −1.58734e6 + 524086.i −3.86267 + 1.27532i
\(177\) −85013.3 + 100133.i −0.203964 + 0.240240i
\(178\) 570213. + 784831.i 1.34892 + 1.85663i
\(179\) 713545. 231845.i 1.66452 0.540835i 0.682708 0.730692i \(-0.260802\pi\)
0.981812 + 0.189856i \(0.0608023\pi\)
\(180\) −188865. + 1.23964e6i −0.434481 + 2.85177i
\(181\) 544710. + 395755.i 1.23586 + 0.897904i 0.997315 0.0732280i \(-0.0233301\pi\)
0.238543 + 0.971132i \(0.423330\pi\)
\(182\) −3277.04 2380.91i −0.00733336 0.00532800i
\(183\) 136102. + 220638.i 0.300426 + 0.487027i
\(184\) 717460. 233117.i 1.56226 0.507609i
\(185\) 100993. + 139006.i 0.216952 + 0.298609i
\(186\) −1.06707e6 905945.i −2.26157 1.92008i
\(187\) 349995. 115557.i 0.731911 0.241652i
\(188\) 515458.i 1.06365i
\(189\) −45472.8 + 3983.14i −0.0925970 + 0.00811095i
\(190\) 288101. + 886682.i 0.578975 + 1.78190i
\(191\) 684411. + 222378.i 1.35748 + 0.441072i 0.895201 0.445663i \(-0.147032\pi\)
0.462279 + 0.886735i \(0.347032\pi\)
\(192\) −548060. 2.25359e6i −1.07294 4.41186i
\(193\) −270086. + 371742.i −0.521927 + 0.718370i −0.985873 0.167493i \(-0.946433\pi\)
0.463947 + 0.885863i \(0.346433\pi\)
\(194\) −103149. + 317460.i −0.196771 + 0.605599i
\(195\) 10367.8 25239.9i 0.0195254 0.0475337i
\(196\) −1.21038e6 + 879391.i −2.25051 + 1.63509i
\(197\) −35841.7 −0.0657996 −0.0328998 0.999459i \(-0.510474\pi\)
−0.0328998 + 0.999459i \(0.510474\pi\)
\(198\) 752869. 769042.i 1.36476 1.39408i
\(199\) −583205. −1.04397 −0.521986 0.852954i \(-0.674809\pi\)
−0.521986 + 0.852954i \(0.674809\pi\)
\(200\) 91661.2 66595.8i 0.162036 0.117726i
\(201\) 72889.1 177446.i 0.127254 0.309795i
\(202\) 499723. 1.53799e6i 0.861690 2.65201i
\(203\) −7691.66 + 10586.7i −0.0131003 + 0.0180310i
\(204\) 303787. + 1.24915e6i 0.511086 + 2.10155i
\(205\) 609818. + 198142.i 1.01348 + 0.329300i
\(206\) −35734.4 109979.i −0.0586702 0.180568i
\(207\) −202034. + 204428.i −0.327718 + 0.331599i
\(208\) 126872.i 0.203333i
\(209\) 179638. 561916.i 0.284468 0.889827i
\(210\) 90819.8 + 77106.2i 0.142112 + 0.120654i
\(211\) −461639. 635391.i −0.713832 0.982506i −0.999706 0.0242385i \(-0.992284\pi\)
0.285874 0.958267i \(-0.407716\pi\)
\(212\) −1.40790e6 + 457455.i −2.15146 + 0.699050i
\(213\) 155153. + 251522.i 0.234321 + 0.379863i
\(214\) 1.02280e6 + 743111.i 1.52672 + 1.10922i
\(215\) −869437. 631683.i −1.28275 0.931973i
\(216\) 1.58522e6 + 1.82320e6i 2.31183 + 2.65889i
\(217\) −93250.8 + 30299.0i −0.134432 + 0.0436797i
\(218\) −656904. 904150.i −0.936183 1.28854i
\(219\) −95825.3 + 112868.i −0.135011 + 0.159023i
\(220\) −2.07085e6 + 9812.85i −2.88465 + 0.0136691i
\(221\) 27974.3i 0.0385282i
\(222\) 512880. + 38845.7i 0.698447 + 0.0529006i
\(223\) −325705. 1.00242e6i −0.438594 1.34985i −0.889359 0.457210i \(-0.848849\pi\)
0.450765 0.892643i \(-0.351151\pi\)
\(224\) −292927. 95177.8i −0.390067 0.126741i
\(225\) −19370.5 + 38576.6i −0.0255085 + 0.0508004i
\(226\) 150572. 207244.i 0.196098 0.269906i
\(227\) −335761. + 1.03337e6i −0.432480 + 1.33104i 0.463167 + 0.886271i \(0.346713\pi\)
−0.895647 + 0.444765i \(0.853287\pi\)
\(228\) 1.90330e6 + 781817.i 2.42477 + 0.996020i
\(229\) 401576. 291762.i 0.506034 0.367655i −0.305283 0.952262i \(-0.598751\pi\)
0.811317 + 0.584607i \(0.198751\pi\)
\(230\) 750150. 0.935036
\(231\) −18160.9 73165.0i −0.0223928 0.0902139i
\(232\) 692604. 0.844821
\(233\) −884117. + 642349.i −1.06689 + 0.775142i −0.975351 0.220660i \(-0.929179\pi\)
−0.0915401 + 0.995801i \(0.529179\pi\)
\(234\) −37510.9 72560.0i −0.0447835 0.0866278i
\(235\) 101945. 313753.i 0.120419 0.370611i
\(236\) 444735. 612125.i 0.519782 0.715418i
\(237\) −1.20699e6 + 293533.i −1.39583 + 0.339458i
\(238\) 116163. + 37743.6i 0.132930 + 0.0431917i
\(239\) −104441. 321437.i −0.118271 0.364000i 0.874344 0.485306i \(-0.161292\pi\)
−0.992615 + 0.121306i \(0.961292\pi\)
\(240\) 281822. 3.72089e6i 0.315825 4.16983i
\(241\) 279007.i 0.309437i 0.987959 + 0.154719i \(0.0494471\pi\)
−0.987959 + 0.154719i \(0.950553\pi\)
\(242\) 1.44775e6 + 1.03103e6i 1.58911 + 1.13170i
\(243\) −855508. 339699.i −0.929412 0.369044i
\(244\) −877724. 1.20808e6i −0.943808 1.29904i
\(245\) −910665. + 295893.i −0.969267 + 0.314934i
\(246\) 1.63364e6 1.00772e6i 1.72115 1.06171i
\(247\) −36223.4 26317.8i −0.0377787 0.0274478i
\(248\) 4.19843e6 + 3.05034e6i 4.33469 + 3.14934i
\(249\) 201377. 124221.i 0.205831 0.126969i
\(250\) −1.77779e6 + 577640.i −1.79900 + 0.584530i
\(251\) 422632. + 581702.i 0.423426 + 0.582796i 0.966429 0.256935i \(-0.0827126\pi\)
−0.543003 + 0.839731i \(0.682713\pi\)
\(252\) 259452. 42660.5i 0.257369 0.0423179i
\(253\) −385330. 277179.i −0.378471 0.272244i
\(254\) 2.98327e6i 2.90140i
\(255\) −62139.4 + 820427.i −0.0598435 + 0.790113i
\(256\) 1.33902e6 + 4.12107e6i 1.27699 + 3.93016i
\(257\) 744713. + 241972.i 0.703326 + 0.228524i 0.638779 0.769390i \(-0.279440\pi\)
0.0645467 + 0.997915i \(0.479440\pi\)
\(258\) −3.12598e6 + 760221.i −2.92373 + 0.711035i
\(259\) 21177.0 29147.6i 0.0196162 0.0269994i
\(260\) −48569.8 + 149482.i −0.0445587 + 0.137138i
\(261\) −234409. + 121181.i −0.212997 + 0.110112i
\(262\) 843237. 612647.i 0.758921 0.551388i
\(263\) 755782. 0.673763 0.336882 0.941547i \(-0.390628\pi\)
0.336882 + 0.941547i \(0.390628\pi\)
\(264\) −2.56790e6 + 3.05382e6i −2.26761 + 2.69670i
\(265\) −947446. −0.828781
\(266\) 158158. 114908.i 0.137052 0.0995743i
\(267\) 1.26752e6 + 520656.i 1.08812 + 0.446964i
\(268\) −341463. + 1.05091e6i −0.290407 + 0.893780i
\(269\) −1.10226e6 + 1.51713e6i −0.928758 + 1.27833i 0.0315845 + 0.999501i \(0.489945\pi\)
−0.960342 + 0.278824i \(0.910055\pi\)
\(270\) 938936. + 2.21135e6i 0.783839 + 1.84607i
\(271\) 1.30036e6 + 422511.i 1.07557 + 0.349474i 0.792655 0.609670i \(-0.208698\pi\)
0.282916 + 0.959145i \(0.408698\pi\)
\(272\) −1.18218e6 3.63839e6i −0.968865 2.98186i
\(273\) −5705.24 432.117i −0.00463305 0.000350909i
\(274\) 3.32262e6i 2.67365i
\(275\) −67903.8 21708.1i −0.0541455 0.0173097i
\(276\) 1.07151e6 1.26208e6i 0.846684 0.997270i
\(277\) 287471. + 395670.i 0.225110 + 0.309837i 0.906601 0.421990i \(-0.138668\pi\)
−0.681491 + 0.731827i \(0.738668\pi\)
\(278\) −225024. + 73114.8i −0.174629 + 0.0567405i
\(279\) −1.95465e6 297800.i −1.50334 0.229041i
\(280\) −357334. 259619.i −0.272383 0.197898i
\(281\) −417122. 303057.i −0.315135 0.228959i 0.418962 0.908004i \(-0.362394\pi\)
−0.734097 + 0.679045i \(0.762394\pi\)
\(282\) −518477. 840514.i −0.388246 0.629394i
\(283\) 1.30973e6 425556.i 0.972108 0.315857i 0.220441 0.975400i \(-0.429250\pi\)
0.751667 + 0.659543i \(0.229250\pi\)
\(284\) −1.00058e6 1.37719e6i −0.736136 1.01320i
\(285\) 1.00389e6 + 852309.i 0.732109 + 0.621563i
\(286\) 108757. 79807.0i 0.0786220 0.0576934i
\(287\) 134451.i 0.0963519i
\(288\) −4.41759e6 4.36587e6i −3.13837 3.10163i
\(289\) −178098. 548128.i −0.125433 0.386044i
\(290\) 655010. + 212826.i 0.457354 + 0.148603i
\(291\) 111417. + 458139.i 0.0771292 + 0.317150i
\(292\) 501296. 689975.i 0.344063 0.473562i
\(293\) 222246. 684004.i 0.151240 0.465468i −0.846521 0.532355i \(-0.821307\pi\)
0.997760 + 0.0668879i \(0.0213070\pi\)
\(294\) −1.08912e6 + 2.65142e6i −0.734865 + 1.78900i
\(295\) 391768. 284636.i 0.262104 0.190430i
\(296\) −1.90690e6 −1.26503
\(297\) 334785. 1.48284e6i 0.220229 0.975448i
\(298\) 2.28683e6 1.49174
\(299\) −29145.8 + 21175.6i −0.0188537 + 0.0136980i
\(300\) 94477.4 230001.i 0.0606073 0.147546i
\(301\) −69636.0 + 214318.i −0.0443014 + 0.136346i
\(302\) 2.82139e6 3.88331e6i 1.78010 2.45010i
\(303\) −539779. 2.21954e6i −0.337761 1.38885i
\(304\) −5.82347e6 1.89216e6i −3.61408 1.17429i
\(305\) −295332. 908939.i −0.181786 0.559481i
\(306\) 1.75183e6 + 1.73132e6i 1.06952 + 1.05700i
\(307\) 2.51848e6i 1.52508i 0.646940 + 0.762541i \(0.276048\pi\)
−0.646940 + 0.762541i \(0.723952\pi\)
\(308\) 136141. + 412342.i 0.0817737 + 0.247674i
\(309\) −124517. 105716.i −0.0741880 0.0629858i
\(310\) 3.03323e6 + 4.17488e6i 1.79267 + 2.46740i
\(311\) 455341. 147949.i 0.266954 0.0867385i −0.172482 0.985013i \(-0.555179\pi\)
0.439435 + 0.898274i \(0.355179\pi\)
\(312\) 158988. + 257738.i 0.0924650 + 0.149897i
\(313\) −632978. 459885.i −0.365197 0.265331i 0.390019 0.920807i \(-0.372468\pi\)
−0.755217 + 0.655475i \(0.772468\pi\)
\(314\) −3.55163e6 2.58041e6i −2.03284 1.47695i
\(315\) 166363. + 25346.1i 0.0944668 + 0.0143925i
\(316\) 6.80496e6 2.21107e6i 3.83361 1.24561i
\(317\) 833640. + 1.14741e6i 0.465940 + 0.641312i 0.975727 0.218989i \(-0.0702758\pi\)
−0.509787 + 0.860301i \(0.670276\pi\)
\(318\) −1.83561e6 + 2.16208e6i −1.01792 + 1.19896i
\(319\) −257821. 351347.i −0.141854 0.193313i
\(320\) 8.55027e6i 4.66772i
\(321\) 1.78068e6 + 134869.i 0.964545 + 0.0730550i
\(322\) −48607.3 149598.i −0.0261253 0.0804054i
\(323\) 1.28403e6 + 417206.i 0.684807 + 0.222507i
\(324\) 5.06161e6 + 1.57897e6i 2.67871 + 0.835627i
\(325\) −3180.34 + 4377.36i −0.00167019 + 0.00229881i
\(326\) −600189. + 1.84719e6i −0.312784 + 0.962650i
\(327\) −1.46022e6 599813.i −0.755177 0.310203i
\(328\) −5.75713e6 + 4.18280e6i −2.95475 + 2.14676i
\(329\) −69175.6 −0.0352341
\(330\) −3.36690e6 + 2.09899e6i −1.70194 + 1.06102i
\(331\) −1.98391e6 −0.995295 −0.497647 0.867379i \(-0.665803\pi\)
−0.497647 + 0.867379i \(0.665803\pi\)
\(332\) −1.10262e6 + 801101.i −0.549011 + 0.398880i
\(333\) 645385. 333641.i 0.318939 0.164880i
\(334\) −604858. + 1.86156e6i −0.296679 + 0.913085i
\(335\) −415689. + 572147.i −0.202375 + 0.278545i
\(336\) −760295. + 184900.i −0.367396 + 0.0893486i
\(337\) −147695. 47989.0i −0.0708420 0.0230179i 0.273382 0.961906i \(-0.411858\pi\)
−0.344224 + 0.938888i \(0.611858\pi\)
\(338\) 1.26306e6 + 3.88729e6i 0.601356 + 1.85078i
\(339\) 27327.7 360807.i 0.0129153 0.170520i
\(340\) 4.73937e6i 2.22343i
\(341\) −15472.7 3.26529e6i −0.00720579 1.52067i
\(342\) 3.88995e6 639607.i 1.79837 0.295698i
\(343\) 237061. + 326287.i 0.108799 + 0.149749i
\(344\) 1.13433e7 3.68568e6i 5.16827 1.67927i
\(345\) 901820. 556294.i 0.407917 0.251627i
\(346\) −1.22332e6 888793.i −0.549350 0.399126i
\(347\) 2.70621e6 + 1.96617e6i 1.20653 + 0.876594i 0.994911 0.100759i \(-0.0321271\pi\)
0.211617 + 0.977353i \(0.432127\pi\)
\(348\) 1.29367e6 798012.i 0.572633 0.353233i
\(349\) 2.36896e6 769723.i 1.04111 0.338276i 0.261933 0.965086i \(-0.415640\pi\)
0.779172 + 0.626810i \(0.215640\pi\)
\(350\) −13885.9 19112.3i −0.00605904 0.00833956i
\(351\) −98904.0 59413.4i −0.0428495 0.0257405i
\(352\) 5.98971e6 8.32682e6i 2.57661 3.58197i
\(353\) 957821.i 0.409117i 0.978854 + 0.204559i \(0.0655759\pi\)
−0.978854 + 0.204559i \(0.934424\pi\)
\(354\) 109481. 1.44548e6i 0.0464335 0.613062i
\(355\) −336671. 1.03617e6i −0.141787 0.436375i
\(356\) −7.50681e6 2.43911e6i −3.13928 1.02001i
\(357\) 167639. 40768.9i 0.0696153 0.0169301i
\(358\) −4.86681e6 + 6.69859e6i −2.00695 + 2.76233i
\(359\) −1.00203e6 + 3.08393e6i −0.410340 + 1.26290i 0.506012 + 0.862526i \(0.331119\pi\)
−0.916353 + 0.400372i \(0.868881\pi\)
\(360\) −4.09026e6 7.91208e6i −1.66339 3.21762i
\(361\) −254979. + 185253.i −0.102976 + 0.0748164i
\(362\) −7.43051e6 −2.98021
\(363\) 2.50505e6 + 165873.i 0.997815 + 0.0660709i
\(364\) 32957.5 0.0130377
\(365\) 441593. 320836.i 0.173496 0.126052i
\(366\) −2.64639e6 1.08706e6i −1.03265 0.424179i
\(367\) −977844. + 3.00949e6i −0.378969 + 1.16635i 0.561792 + 0.827279i \(0.310112\pi\)
−0.940761 + 0.339069i \(0.889888\pi\)
\(368\) −2.89588e6 + 3.98583e6i −1.11471 + 1.53426i
\(369\) 1.21664e6 2.42295e6i 0.465153 0.926356i
\(370\) −1.80340e6 585960.i −0.684837 0.222517i
\(371\) 61391.4 + 188943.i 0.0231565 + 0.0712684i
\(372\) 1.13566e7 + 860151.i 4.25491 + 0.322268i
\(373\) 3.12105e6i 1.16153i −0.814073 0.580763i \(-0.802754\pi\)
0.814073 0.580763i \(-0.197246\pi\)
\(374\) −2.37527e6 + 3.30207e6i −0.878079 + 1.22069i
\(375\) −1.70887e6 + 2.01280e6i −0.627526 + 0.739133i
\(376\) 2.15206e6 + 2.96206e6i 0.785028 + 1.08050i
\(377\) −31457.0 + 10221.0i −0.0113989 + 0.00370374i
\(378\) 380156. 330535.i 0.136846 0.118984i
\(379\) 2.06750e6 + 1.50213e6i 0.739347 + 0.537167i 0.892507 0.451034i \(-0.148945\pi\)
−0.153159 + 0.988201i \(0.548945\pi\)
\(380\) −6.13692e6 4.45873e6i −2.18017 1.58399i
\(381\) −2.21232e6 3.58644e6i −0.780794 1.26576i
\(382\) −7.55314e6 + 2.45416e6i −2.64831 + 0.860489i
\(383\) −2.48242e6 3.41676e6i −0.864726 1.19019i −0.980422 0.196909i \(-0.936910\pi\)
0.115696 0.993285i \(-0.463090\pi\)
\(384\) 9.79240e6 + 8.31377e6i 3.38892 + 2.87720i
\(385\) 1316.91 + 277913.i 0.000452797 + 0.0955558i
\(386\) 5.07102e6i 1.73231i
\(387\) −3.19425e6 + 3.23209e6i −1.08416 + 1.09700i
\(388\) −839259. 2.58297e6i −0.283020 0.871045i
\(389\) −741083. 240792.i −0.248309 0.0806806i 0.182218 0.983258i \(-0.441672\pi\)
−0.430527 + 0.902578i \(0.641672\pi\)
\(390\) 71159.4 + 292603.i 0.0236903 + 0.0974130i
\(391\) 638518. 878844.i 0.211218 0.290717i
\(392\) 3.28389e6 1.01068e7i 1.07938 3.32199i
\(393\) 559403. 1.36184e6i 0.182702 0.444780i
\(394\) 320005. 232497.i 0.103852 0.0754532i
\(395\) 4.57939e6 1.47678
\(396\) −1.27784e6 + 8.66274e6i −0.409485 + 2.77599i
\(397\) −2.25030e6 −0.716580 −0.358290 0.933610i \(-0.616640\pi\)
−0.358290 + 0.933610i \(0.616640\pi\)
\(398\) 5.20703e6 3.78313e6i 1.64771 1.19714i
\(399\) 104922. 255427.i 0.0329938 0.0803222i
\(400\) −228655. + 703727.i −0.0714546 + 0.219915i
\(401\) 39531.4 54410.3i 0.0122767 0.0168974i −0.802835 0.596202i \(-0.796676\pi\)
0.815111 + 0.579304i \(0.196676\pi\)
\(402\) 500276. + 2.05710e6i 0.154399 + 0.634879i
\(403\) −235701. 76584.0i −0.0722936 0.0234896i
\(404\) 4.06594e6 + 1.25137e7i 1.23939 + 3.81444i
\(405\) 2.76867e6 + 1.96216e6i 0.838751 + 0.594426i
\(406\) 144415.i 0.0434808i
\(407\) 709844. + 967343.i 0.212411 + 0.289464i
\(408\) −6.96098e6 5.90989e6i −2.07024 1.75764i
\(409\) −3.76389e6 5.18055e6i −1.11257 1.53133i −0.817570 0.575830i \(-0.804679\pi\)
−0.295004 0.955496i \(-0.595321\pi\)
\(410\) −6.72994e6 + 2.18669e6i −1.97721 + 0.642433i
\(411\) −2.46398e6 3.99441e6i −0.719503 1.16640i
\(412\) 761188. + 553036.i 0.220927 + 0.160513i
\(413\) −82148.5 59684.4i −0.0236987 0.0172181i
\(414\) 477746. 3.13574e6i 0.136992 0.899166i
\(415\) −829591. + 269550.i −0.236452 + 0.0768280i
\(416\) −457596. 629826.i −0.129643 0.178438i
\(417\) −216301. + 254770.i −0.0609141 + 0.0717479i
\(418\) 2.04117e6 + 6.18223e6i 0.571396 + 1.73063i
\(419\) 5.03505e6i 1.40110i 0.713604 + 0.700549i \(0.247062\pi\)
−0.713604 + 0.700549i \(0.752938\pi\)
\(420\) −966574. 73208.7i −0.267369 0.0202507i
\(421\) 1.68370e6 + 5.18188e6i 0.462976 + 1.42489i 0.861511 + 0.507740i \(0.169519\pi\)
−0.398535 + 0.917153i \(0.630481\pi\)
\(422\) 8.24329e6 + 2.67841e6i 2.25330 + 0.732143i
\(423\) −1.24661e6 625964.i −0.338751 0.170098i
\(424\) 6.18056e6 8.50681e6i 1.66960 2.29801i
\(425\) 50416.6 155166.i 0.0135395 0.0416701i
\(426\) −3.01682e6 1.23922e6i −0.805427 0.330844i
\(427\) −162128. + 117793.i −0.0430316 + 0.0312643i
\(428\) −1.02865e7 −2.71429
\(429\) 71563.7 176595.i 0.0187737 0.0463271i
\(430\) 1.18602e7 3.09329
\(431\) −2.59556e6 + 1.88578e6i −0.673034 + 0.488988i −0.871039 0.491213i \(-0.836554\pi\)
0.198005 + 0.980201i \(0.436554\pi\)
\(432\) −1.53744e7 3.54777e6i −3.96360 0.914632i
\(433\) −1.08868e6 + 3.35060e6i −0.279048 + 0.858822i 0.709072 + 0.705136i \(0.249114\pi\)
−0.988120 + 0.153685i \(0.950886\pi\)
\(434\) 636027. 875416.i 0.162088 0.223095i
\(435\) 945271. 229885.i 0.239515 0.0582488i
\(436\) 8.64809e6 + 2.80994e6i 2.17873 + 0.707913i
\(437\) −537290. 1.65361e6i −0.134588 0.414218i
\(438\) 123405. 1.62932e6i 0.0307361 0.405808i
\(439\) 2.04566e6i 0.506608i 0.967387 + 0.253304i \(0.0815174\pi\)
−0.967387 + 0.253304i \(0.918483\pi\)
\(440\) 1.18591e7 8.70231e6i 2.92025 2.14290i
\(441\) 656907. + 3.99517e6i 0.160845 + 0.978225i
\(442\) 181463. + 249763.i 0.0441808 + 0.0608096i
\(443\) 775795. 252071.i 0.187818 0.0610258i −0.213598 0.976922i \(-0.568518\pi\)
0.401416 + 0.915896i \(0.368518\pi\)
\(444\) −3.56179e6 + 2.19712e6i −0.857455 + 0.528927i
\(445\) −4.08692e6 2.96932e6i −0.978353 0.710815i
\(446\) 9.41046e6 + 6.83710e6i 2.24013 + 1.62755i
\(447\) 2.74920e6 1.69586e6i 0.650785 0.401441i
\(448\) 1.70513e6 554030.i 0.401386 0.130418i
\(449\) −3.41773e6 4.70410e6i −0.800058 1.10119i −0.992782 0.119932i \(-0.961732\pi\)
0.192724 0.981253i \(-0.438268\pi\)
\(450\) −77292.3 470075.i −0.0179931 0.109430i
\(451\) 4.26496e6 + 1.36346e6i 0.987355 + 0.315647i
\(452\) 2.08428e6i 0.479855i
\(453\) 512061. 6.76074e6i 0.117240 1.54792i
\(454\) −3.70545e6 1.14042e7i −0.843727 2.59672i
\(455\) 20060.9 + 6518.17i 0.00454278 + 0.00147604i
\(456\) −1.42014e7 + 3.45370e6i −3.19830 + 0.777808i
\(457\) −2.37119e6 + 3.26367e6i −0.531100 + 0.730997i −0.987298 0.158882i \(-0.949211\pi\)
0.456197 + 0.889879i \(0.349211\pi\)
\(458\) −1.69279e6 + 5.20988e6i −0.377086 + 1.16055i
\(459\) 3.38994e6 + 782255.i 0.751035 + 0.173307i
\(460\) −4.93783e6 + 3.58755e6i −1.08803 + 0.790502i
\(461\) 321773. 0.0705176 0.0352588 0.999378i \(-0.488774\pi\)
0.0352588 + 0.999378i \(0.488774\pi\)
\(462\) 636752. + 535433.i 0.138792 + 0.116708i
\(463\) 2.64070e6 0.572488 0.286244 0.958157i \(-0.407593\pi\)
0.286244 + 0.958157i \(0.407593\pi\)
\(464\) −3.65942e6 + 2.65873e6i −0.789074 + 0.573296i
\(465\) 6.74250e6 + 2.76961e6i 1.44607 + 0.594000i
\(466\) 3.72688e6 1.14702e7i 0.795025 2.44683i
\(467\) 4.40651e6 6.06504e6i 0.934980 1.28689i −0.0229052 0.999738i \(-0.507292\pi\)
0.957885 0.287152i \(-0.0927084\pi\)
\(468\) 593928. + 298230.i 0.125348 + 0.0629414i
\(469\) 141035. + 45825.1i 0.0296070 + 0.00961991i
\(470\) 1.12506e6 + 3.46257e6i 0.234926 + 0.723027i
\(471\) −6.18329e6 468325.i −1.28430 0.0972736i
\(472\) 5.37434e6i 1.11038i
\(473\) −6.09224e6 4.38232e6i −1.25206 0.900639i
\(474\) 8.87227e6 1.04502e7i 1.81380 2.13639i
\(475\) −153491. 211262.i −0.0312139 0.0429622i
\(476\) −945143. + 307096.i −0.191197 + 0.0621236i
\(477\) −603397. + 3.96048e6i −0.121425 + 0.796987i
\(478\) 3.01758e6 + 2.19240e6i 0.604072 + 0.438884i
\(479\) −144717. 105143.i −0.0288190 0.0209383i 0.573282 0.819358i \(-0.305670\pi\)
−0.602102 + 0.798420i \(0.705670\pi\)
\(480\) 1.20213e7 + 1.94879e7i 2.38148 + 3.86067i
\(481\) 86608.7 28140.9i 0.0170686 0.00554594i
\(482\) −1.80986e6 2.49106e6i −0.354836 0.488389i
\(483\) −169373. 143798.i −0.0330352 0.0280470i
\(484\) −1.44606e7 + 137048.i −2.80590 + 0.0265924i
\(485\) 1.73821e6i 0.335543i
\(486\) 9.84178e6 2.51656e6i 1.89009 0.483301i
\(487\) 2.83415e6 + 8.72262e6i 0.541503 + 1.66657i 0.729163 + 0.684340i \(0.239909\pi\)
−0.187661 + 0.982234i \(0.560091\pi\)
\(488\) 1.00876e7 + 3.27767e6i 1.91752 + 0.623039i
\(489\) 648297. + 2.66576e6i 0.122603 + 0.504137i
\(490\) 6.21129e6 8.54911e6i 1.16867 1.60854i
\(491\) −860286. + 2.64769e6i −0.161042 + 0.495636i −0.998723 0.0505236i \(-0.983911\pi\)
0.837681 + 0.546160i \(0.183911\pi\)
\(492\) −5.93401e6 + 1.44461e7i −1.10519 + 2.69053i
\(493\) 806874. 586228.i 0.149516 0.108630i
\(494\) 494131. 0.0911014
\(495\) −2.49108e6 + 5.02019e6i −0.456956 + 0.920889i
\(496\) −3.38922e7 −6.18579
\(497\) −184822. + 134281.i −0.0335631 + 0.0243850i
\(498\) −992159. + 2.41537e6i −0.179270 + 0.436426i
\(499\) 2.80302e6 8.62680e6i 0.503935 1.55095i −0.298620 0.954372i \(-0.596526\pi\)
0.802554 0.596579i \(-0.203474\pi\)
\(500\) 8.93972e6 1.23045e7i 1.59919 2.20109i
\(501\) 653340. + 2.68649e6i 0.116291 + 0.478180i
\(502\) −7.54676e6 2.45209e6i −1.33660 0.434287i
\(503\) −1.65824e6 5.10355e6i −0.292232 0.899398i −0.984137 0.177410i \(-0.943228\pi\)
0.691905 0.721989i \(-0.256772\pi\)
\(504\) −1.31282e6 + 1.32837e6i −0.230213 + 0.232940i
\(505\) 8.42107e6i 1.46940i
\(506\) 5.23834e6 24822.2i 0.909531 0.00430986i
\(507\) 4.40116e6 + 3.73660e6i 0.760410 + 0.645590i
\(508\) 1.42673e7 + 1.96372e7i 2.45291 + 3.37615i
\(509\) −1.02504e7 + 3.33055e6i −1.75366 + 0.569799i −0.996513 0.0834424i \(-0.973409\pi\)
−0.757149 + 0.653242i \(0.773409\pi\)
\(510\) −4.76713e6 7.72810e6i −0.811581 1.31567i
\(511\) −92596.3 67275.1i −0.0156870 0.0113973i
\(512\) −1.73543e7 1.26086e7i −2.92572 2.12566i
\(513\) 4.20213e6 3.65363e6i 0.704980 0.612959i
\(514\) −8.21864e6 + 2.67040e6i −1.37212 + 0.445829i
\(515\) 353950. + 487171.i 0.0588063 + 0.0809400i
\(516\) 1.69410e7 1.99540e7i 2.80100 3.29917i
\(517\) 701504. 2.19433e6i 0.115426 0.361057i
\(518\) 397609.i 0.0651076i
\(519\) −2.12977e6 161309.i −0.347067 0.0262870i
\(520\) −344992. 1.06178e6i −0.0559501 0.172197i
\(521\) 3.69343e6 + 1.20007e6i 0.596122 + 0.193692i 0.591510 0.806298i \(-0.298532\pi\)
0.00461192 + 0.999989i \(0.498532\pi\)
\(522\) 1.30680e6 2.60250e6i 0.209910 0.418037i
\(523\) 5.31322e6 7.31301e6i 0.849382 1.16907i −0.134616 0.990898i \(-0.542980\pi\)
0.983999 0.178177i \(-0.0570199\pi\)
\(524\) −2.62063e6 + 8.06546e6i −0.416943 + 1.28322i
\(525\) −30866.7 12679.1i −0.00488756 0.00200766i
\(526\) −6.74785e6 + 4.90260e6i −1.06341 + 0.772613i
\(527\) 7.47296e6 1.17210
\(528\) 1.84486e6 2.59925e7i 0.287990 4.05755i
\(529\) 5.03736e6 0.782643
\(530\) 8.45908e6 6.14588e6i 1.30808 0.950374i
\(531\) −940320. 1.81893e6i −0.144724 0.279949i
\(532\) −491525. + 1.51276e6i −0.0752951 + 0.231735i
\(533\) 199753. 274937.i 0.0304562 0.0419193i
\(534\) −1.46941e7 + 3.57353e6i −2.22993 + 0.542306i
\(535\) −6.26125e6 2.03440e6i −0.945750 0.307293i
\(536\) −2.42542e6 7.46467e6i −0.364649 1.12227i
\(537\) −883291. + 1.16621e7i −0.132181 + 1.74518i
\(538\) 2.06955e7i 3.08262i
\(539\) −6.34944e6 + 2.09637e6i −0.941377 + 0.310811i
\(540\) −1.67562e7 1.00657e7i −2.47281 1.48546i
\(541\) −5.45663e6 7.51040e6i −0.801551 1.10324i −0.992573 0.121654i \(-0.961180\pi\)
0.191022 0.981586i \(-0.438820\pi\)
\(542\) −1.43507e7 + 4.66283e6i −2.09834 + 0.681791i
\(543\) −8.93286e6 + 5.51030e6i −1.30014 + 0.802002i
\(544\) 1.89914e7 + 1.37981e7i 2.75144 + 1.99904i
\(545\) 4.70826e6 + 3.42075e6i 0.678999 + 0.493322i
\(546\) 53741.1 33150.6i 0.00771481 0.00475894i
\(547\) 1.59375e6 517840.i 0.227746 0.0739992i −0.192921 0.981214i \(-0.561796\pi\)
0.420667 + 0.907215i \(0.361796\pi\)
\(548\) 1.58902e7 + 2.18710e7i 2.26037 + 3.11113i
\(549\) −3.98760e6 + 655662.i −0.564651 + 0.0928430i
\(550\) 747081. 246661.i 0.105308 0.0347692i
\(551\) 1.59632e6i 0.223996i
\(552\) −888137. + 1.17261e7i −0.124060 + 1.63796i
\(553\) −296730. 913241.i −0.0412618 0.126991i
\(554\) −5.13325e6 1.66789e6i −0.710588 0.230884i
\(555\) −2.60256e6 + 632927.i −0.358648 + 0.0872211i
\(556\) 1.13155e6 1.55744e6i 0.155233 0.213660i
\(557\) 258596. 795875.i 0.0353169 0.108694i −0.931844 0.362859i \(-0.881801\pi\)
0.967161 + 0.254165i \(0.0818006\pi\)
\(558\) 1.93834e7 1.00205e7i 2.63539 1.36240i
\(559\) −460807. + 334796.i −0.0623720 + 0.0453159i
\(560\) 2.88461e6 0.388702
\(561\) −406776. + 5.73115e6i −0.0545693 + 0.768837i
\(562\) 5.69005e6 0.759933
\(563\) 1.90465e6 1.38381e6i 0.253248 0.183995i −0.453917 0.891044i \(-0.649974\pi\)
0.707165 + 0.707049i \(0.249974\pi\)
\(564\) 7.43257e6 + 3.05307e6i 0.983878 + 0.404146i
\(565\) −412218. + 1.26868e6i −0.0543258 + 0.167198i
\(566\) −8.93313e6 + 1.22954e7i −1.17209 + 1.61325i
\(567\) 211902. 679280.i 0.0276807 0.0887342i
\(568\) 1.14996e7 + 3.73646e6i 1.49559 + 0.485948i
\(569\) −704265. 2.16751e6i −0.0911918 0.280659i 0.895051 0.445964i \(-0.147139\pi\)
−0.986243 + 0.165305i \(0.947139\pi\)
\(570\) −1.44918e7 1.09762e6i −1.86825 0.141502i
\(571\) 2.80576e6i 0.360130i −0.983655 0.180065i \(-0.942369\pi\)
0.983655 0.180065i \(-0.0576308\pi\)
\(572\) −334220. + 1.04545e6i −0.0427112 + 0.133602i
\(573\) −7.26033e6 + 8.55161e6i −0.923783 + 1.08808i
\(574\) 872157. + 1.20042e6i 0.110488 + 0.152074i
\(575\) −199828. + 64927.9i −0.0252050 + 0.00818959i
\(576\) 3.57415e7 + 5.44538e6i 4.48866 + 0.683868i
\(577\) −3.48974e6 2.53544e6i −0.436368 0.317040i 0.347822 0.937561i \(-0.386921\pi\)
−0.784190 + 0.620520i \(0.786921\pi\)
\(578\) 5.14570e6 + 3.73857e6i 0.640655 + 0.465463i
\(579\) −3.76055e6 6.09631e6i −0.466182 0.755737i
\(580\) −5.32940e6 + 1.73163e6i −0.657822 + 0.213739i
\(581\) 107510. + 147974.i 0.0132132 + 0.0181864i
\(582\) −3.96662e6 3.36767e6i −0.485414 0.412118i
\(583\) −6.61608e6 + 31350.7i −0.806175 + 0.00382010i
\(584\) 6.05786e6i 0.735000i
\(585\) 302535. + 298993.i 0.0365498 + 0.0361220i
\(586\) 2.45271e6 + 7.54865e6i 0.295054 + 0.908083i
\(587\) 4.98581e6 + 1.61999e6i 0.597228 + 0.194051i 0.592004 0.805935i \(-0.298337\pi\)
0.00522438 + 0.999986i \(0.498337\pi\)
\(588\) −5.51116e6 2.26615e7i −0.657354 2.70300i
\(589\) 7.03045e6 9.67659e6i 0.835017 1.14930i
\(590\) −1.65145e6 + 5.08263e6i −0.195314 + 0.601116i
\(591\) 212291. 516814.i 0.0250013 0.0608647i
\(592\) 1.00753e7 7.32011e6i 1.18155 0.858447i
\(593\) −7.70266e6 −0.899506 −0.449753 0.893153i \(-0.648488\pi\)
−0.449753 + 0.893153i \(0.648488\pi\)
\(594\) 6.62983e6 + 1.54109e7i 0.770967 + 1.79210i
\(595\) −636034. −0.0736526
\(596\) −1.50530e7 + 1.09366e7i −1.73583 + 1.26115i
\(597\) 3.45434e6 8.40944e6i 0.396670 0.965676i
\(598\) 122860. 378125.i 0.0140494 0.0432396i
\(599\) 9.86850e6 1.35828e7i 1.12379 1.54676i 0.324424 0.945912i \(-0.394829\pi\)
0.799363 0.600849i \(-0.205171\pi\)
\(600\) 417357. + 1.71614e6i 0.0473292 + 0.194615i
\(601\) 4.33349e6 + 1.40804e6i 0.489386 + 0.159011i 0.543307 0.839534i \(-0.317172\pi\)
−0.0539209 + 0.998545i \(0.517172\pi\)
\(602\) −768502. 2.36520e6i −0.0864278 0.265997i
\(603\) 2.12693e6 + 2.10203e6i 0.238210 + 0.235421i
\(604\) 3.90548e7i 4.35595i
\(605\) −8.82910e6 2.77652e6i −0.980681 0.308399i
\(606\) 1.92170e7 + 1.63152e7i 2.12570 + 1.80473i
\(607\) −4.69528e6 6.46250e6i −0.517237 0.711916i 0.467882 0.883791i \(-0.345017\pi\)
−0.985119 + 0.171875i \(0.945017\pi\)
\(608\) 3.57337e7 1.16106e7i 3.92030 1.27378i
\(609\) −107095. 173614.i −0.0117011 0.0189689i
\(610\) 8.53290e6 + 6.19952e6i 0.928479 + 0.674580i
\(611\) −141456. 102774.i −0.0153291 0.0111373i
\(612\) −1.98113e7 3.01835e6i −2.13813 0.325755i
\(613\) 3.36721e6 1.09407e6i 0.361925 0.117597i −0.122409 0.992480i \(-0.539062\pi\)
0.484334 + 0.874883i \(0.339062\pi\)
\(614\) −1.63369e7 2.24858e7i −1.74883 2.40706i
\(615\) −6.46905e6 + 7.61959e6i −0.689688 + 0.812351i
\(616\) −2.50388e6 1.80111e6i −0.265865 0.191244i
\(617\) 2.48344e6i 0.262628i 0.991341 + 0.131314i \(0.0419196\pi\)
−0.991341 + 0.131314i \(0.958080\pi\)
\(618\) 1.79748e6 + 136142.i 0.189319 + 0.0143391i
\(619\) −595167. 1.83173e6i −0.0624327 0.192148i 0.914975 0.403510i \(-0.132210\pi\)
−0.977408 + 0.211362i \(0.932210\pi\)
\(620\) −3.99322e7 1.29748e7i −4.17200 1.35556i
\(621\) −1.75106e6 4.12404e6i −0.182210 0.429135i
\(622\) −3.10570e6 + 4.27463e6i −0.321873 + 0.443020i
\(623\) −327334. + 1.00743e6i −0.0337887 + 0.103991i
\(624\) −1.82941e6 751467.i −0.188084 0.0772589i
\(625\) 8.32413e6 6.04784e6i 0.852391 0.619299i
\(626\) 8.63459e6 0.880655
\(627\) 7.03847e6 + 5.91851e6i 0.715005 + 0.601234i
\(628\) 3.57191e7 3.61411
\(629\) −2.22152e6 + 1.61403e6i −0.223884 + 0.162661i
\(630\) −1.64975e6 + 852861.i −0.165602 + 0.0856105i
\(631\) −3.35035e6 + 1.03113e7i −0.334978 + 1.03096i 0.631755 + 0.775168i \(0.282335\pi\)
−0.966733 + 0.255788i \(0.917665\pi\)
\(632\) −2.98732e7 + 4.11169e7i −2.97501 + 4.09475i
\(633\) 1.18962e7 2.89310e6i 1.18005 0.286981i
\(634\) −1.48860e7 4.83674e6i −1.47080 0.477892i
\(635\) 4.80059e6 + 1.47747e7i 0.472454 + 1.45407i
\(636\) 1.74283e6 2.30105e7i 0.170849 2.25571i
\(637\) 507496.i 0.0495546i
\(638\) 4.58102e6 + 1.46450e6i 0.445564 + 0.142442i
\(639\) −4.54576e6 + 747439.i −0.440407 + 0.0724141i
\(640\) −2.78356e7 3.83125e7i −2.68628 3.69735i
\(641\) −4.45804e6 + 1.44851e6i −0.428548 + 0.139244i −0.515346 0.856982i \(-0.672336\pi\)
0.0867982 + 0.996226i \(0.472336\pi\)
\(642\) −1.67733e7 + 1.03467e7i −1.60613 + 0.990752i
\(643\) −1.25747e7 9.13607e6i −1.19942 0.871429i −0.205192 0.978722i \(-0.565782\pi\)
−0.994228 + 0.107292i \(0.965782\pi\)
\(644\) 1.03540e6 + 752261.i 0.0983768 + 0.0714749i
\(645\) 1.42582e7 8.79525e6i 1.34947 0.832432i
\(646\) −1.41705e7 + 4.60428e6i −1.33599 + 0.434090i
\(647\) −5.26869e6 7.25173e6i −0.494814 0.681053i 0.486453 0.873707i \(-0.338290\pi\)
−0.981267 + 0.192654i \(0.938290\pi\)
\(648\) −3.56787e7 + 1.20590e7i −3.33788 + 1.12817i
\(649\) 2.72632e6 2.00060e6i 0.254077 0.186444i
\(650\) 59712.5i 0.00554347i
\(651\) 115434. 1.52408e6i 0.0106754 0.140947i
\(652\) −4.88336e6 1.50294e7i −0.449884 1.38460i
\(653\) 1.03576e7 + 3.36539e6i 0.950553 + 0.308853i 0.742940 0.669358i \(-0.233431\pi\)
0.207613 + 0.978211i \(0.433431\pi\)
\(654\) 1.69281e7 4.11682e6i 1.54762 0.376373i
\(655\) −3.19029e6 + 4.39106e6i −0.290554 + 0.399914i
\(656\) 1.43615e7 4.42003e7i 1.30299 4.01019i
\(657\) −1.05991e6 2.05026e6i −0.0957979 0.185309i
\(658\) 617620. 448727.i 0.0556105 0.0404034i
\(659\) 2.17424e7 1.95026 0.975131 0.221627i \(-0.0711368\pi\)
0.975131 + 0.221627i \(0.0711368\pi\)
\(660\) 1.21242e7 2.99185e7i 1.08341 2.67350i
\(661\) 5.30552e6 0.472307 0.236153 0.971716i \(-0.424113\pi\)
0.236153 + 0.971716i \(0.424113\pi\)
\(662\) 1.77129e7 1.28692e7i 1.57089 1.14132i
\(663\) 403371. + 165692.i 0.0356387 + 0.0146393i
\(664\) 2.99154e6 9.20700e6i 0.263314 0.810398i
\(665\) −598372. + 823588.i −0.0524707 + 0.0722197i
\(666\) −3.59793e6 + 7.16532e6i −0.314317 + 0.625965i
\(667\) −1.22155e6 396907.i −0.106316 0.0345441i
\(668\) −4.92135e6 1.51464e7i −0.426720 1.31331i
\(669\) 1.63834e7 + 1.24088e6i 1.41527 + 0.107193i
\(670\) 7.80478e6i 0.671698i
\(671\) −2.09240e6 6.33741e6i −0.179407 0.543382i
\(672\) 3.10742e6 3.66008e6i 0.265446 0.312657i
\(673\) 1.26010e7 + 1.73437e7i 1.07242 + 1.47606i 0.867599 + 0.497264i \(0.165662\pi\)
0.204824 + 0.978799i \(0.434338\pi\)
\(674\) 1.62996e6 529605.i 0.138206 0.0449058i
\(675\) −441517. 507800.i −0.0372982 0.0428976i
\(676\) −2.69048e7 1.95475e7i −2.26445 1.64522i
\(677\) 6.75797e6 + 4.90995e6i 0.566688 + 0.411723i 0.833901 0.551914i \(-0.186103\pi\)
−0.267212 + 0.963638i \(0.586103\pi\)
\(678\) 2.09649e6 + 3.39866e6i 0.175153 + 0.283945i
\(679\) −346641. + 112630.i −0.0288540 + 0.00937522i
\(680\) 1.97871e7 + 2.72346e7i 1.64101 + 2.25865i
\(681\) −1.29118e7 1.09621e7i −1.06689 0.905788i
\(682\) 2.13194e7 + 2.90531e7i 1.75515 + 2.39184i
\(683\) 2.02486e6i 0.166090i −0.996546 0.0830450i \(-0.973535\pi\)
0.996546 0.0830450i \(-0.0264645\pi\)
\(684\) −2.25466e7 + 2.28137e7i −1.84264 + 1.86447i
\(685\) 5.34666e6 + 1.64553e7i 0.435368 + 1.33992i
\(686\) −4.23310e6 1.37542e6i −0.343438 0.111590i
\(687\) 1.82848e6 + 7.51859e6i 0.147808 + 0.607777i
\(688\) −4.57850e7 + 6.30177e7i −3.68767 + 5.07565i
\(689\) −155174. + 477575.i −0.0124529 + 0.0383260i
\(690\) −4.44315e6 + 1.08167e7i −0.355278 + 0.864910i
\(691\) 3.50313e6 2.54517e6i 0.279101 0.202779i −0.439424 0.898280i \(-0.644817\pi\)
0.718525 + 0.695501i \(0.244817\pi\)
\(692\) 1.23031e7 0.976670
\(693\) 1.16256e6 + 171489.i 0.0919565 + 0.0135645i
\(694\) −3.69160e7 −2.90948
\(695\) 996782. 724204.i 0.0782777 0.0568721i
\(696\) −4.10231e6 + 9.98690e6i −0.321000 + 0.781462i
\(697\) −3.16660e6 + 9.74581e6i −0.246895 + 0.759864i
\(698\) −1.61578e7 + 2.22393e7i −1.25529 + 1.72775i
\(699\) −4.02561e6 1.65530e7i −0.311629 1.28140i
\(700\) 182807. + 59397.6i 0.0141009 + 0.00458167i
\(701\) 2.82250e6 + 8.68677e6i 0.216940 + 0.667672i 0.999010 + 0.0444819i \(0.0141637\pi\)
−0.782070 + 0.623190i \(0.785836\pi\)
\(702\) 1.26845e6 111108.i 0.0971469 0.00850950i
\(703\) 4.39505e6i 0.335410i
\(704\) 282925. + 5.97071e7i 0.0215149 + 4.54040i
\(705\) 3.92030e6 + 3.32834e6i 0.297062 + 0.252206i
\(706\) −6.21318e6 8.55171e6i −0.469140 0.645716i
\(707\) 1.67936e6 545658.i 0.126356 0.0410555i
\(708\) 6.19227e6 + 1.00384e7i 0.464266 + 0.752631i
\(709\) 1.20486e7 + 8.75384e6i 0.900164 + 0.654008i 0.938508 0.345257i \(-0.112208\pi\)
−0.0383438 + 0.999265i \(0.512208\pi\)
\(710\) 9.72730e6 + 7.06730e6i 0.724180 + 0.526148i
\(711\) 2.91647e6 1.91426e7i 0.216363 1.42013i
\(712\) 5.33210e7 1.73251e7i 3.94184 1.28078i
\(713\) −5.65678e6 7.78589e6i −0.416721 0.573568i
\(714\) −1.23227e6 + 1.45144e6i −0.0904610 + 0.106550i
\(715\) −410200. + 570255.i −0.0300076 + 0.0417161i
\(716\) 6.73685e7i 4.91105i
\(717\) 5.25352e6 + 397904.i 0.381639 + 0.0289055i
\(718\) −1.10584e7 3.40342e7i −0.800535 2.46379i
\(719\) −1.08555e7 3.52716e6i −0.783118 0.254450i −0.109947 0.993937i \(-0.535068\pi\)
−0.673171 + 0.739487i \(0.735068\pi\)
\(720\) 5.19836e7 + 2.61026e7i 3.73710 + 1.87652i
\(721\) 74218.6 102153.i 0.00531710 0.00731836i
\(722\) 1.07483e6 3.30798e6i 0.0767355 0.236168i
\(723\) −4.02310e6 1.65257e6i −0.286230 0.117574i
\(724\) 4.89110e7 3.55360e7i 3.46785 2.51954i
\(725\) −192905. −0.0136301
\(726\) −2.34418e7 + 1.47688e7i −1.65063 + 1.03993i
\(727\) −1.76770e7 −1.24043 −0.620216 0.784431i \(-0.712955\pi\)
−0.620216 + 0.784431i \(0.712955\pi\)
\(728\) −189389. + 137599.i −0.0132442 + 0.00962250i
\(729\) 9.96543e6 1.03238e7i 0.694508 0.719485i
\(730\) −1.86148e6 + 5.72904e6i −0.129286 + 0.397901i
\(731\) 1.00952e7 1.38949e7i 0.698752 0.961750i
\(732\) 2.26186e7 5.50071e6i 1.56023 0.379438i
\(733\) −1.23440e7 4.01082e6i −0.848589 0.275723i −0.147734 0.989027i \(-0.547198\pi\)
−0.700855 + 0.713304i \(0.747198\pi\)
\(734\) −1.07915e7 3.32127e7i −0.739333 2.27543i
\(735\) 1.12730e6 1.48838e7i 0.0769702 1.01624i
\(736\) 3.02314e7i 2.05714i
\(737\) −2.88385e6 + 4.00910e6i −0.195571 + 0.271880i
\(738\) 4.85464e6 + 2.95249e7i 0.328107 + 1.99548i
\(739\) 2.08179e6 + 2.86533e6i 0.140225 + 0.193003i 0.873353 0.487087i \(-0.161941\pi\)
−0.733129 + 0.680090i \(0.761941\pi\)
\(740\) 1.46731e7 4.76759e6i 0.985016 0.320051i
\(741\) 594038. 366437.i 0.0397438 0.0245162i
\(742\) −1.77376e6 1.28871e6i −0.118273 0.0859301i
\(743\) −1.14764e7 8.33808e6i −0.762663 0.554107i 0.137063 0.990562i \(-0.456234\pi\)
−0.899726 + 0.436455i \(0.856234\pi\)
\(744\) −6.88513e7 + 4.24715e7i −4.56016 + 2.81297i
\(745\) −1.13256e7 + 3.67990e6i −0.747600 + 0.242910i
\(746\) 2.02456e7 + 2.78657e7i 1.33194 + 1.83325i
\(747\) 598424. + 3.63949e6i 0.0392381 + 0.238638i
\(748\) −156824. 3.30953e7i −0.0102485 2.16278i
\(749\) 1.38047e6i 0.0899127i
\(750\) 2.20071e6 2.90560e7i 0.142860 1.88618i
\(751\) 939946. + 2.89286e6i 0.0608140 + 0.187166i 0.976848 0.213934i \(-0.0686278\pi\)
−0.916034 + 0.401100i \(0.868628\pi\)
\(752\) −2.27412e7 7.38905e6i −1.46645 0.476479i
\(753\) −1.08910e7 + 2.64864e6i −0.699973 + 0.170230i
\(754\) 214556. 295311.i 0.0137440 0.0189170i
\(755\) −7.72407e6 + 2.37722e7i −0.493150 + 1.51776i
\(756\) −921603. + 3.99381e6i −0.0586461 + 0.254146i
\(757\) −1.65483e7 + 1.20230e7i −1.04957 + 0.762560i −0.972131 0.234437i \(-0.924675\pi\)
−0.0774424 + 0.996997i \(0.524675\pi\)
\(758\) −2.82033e7 −1.78290
\(759\) 6.27906e6 3.91448e6i 0.395631 0.246644i
\(760\) 5.38810e7 3.38378
\(761\) −2.22848e7 + 1.61909e7i −1.39491 + 1.01346i −0.399608 + 0.916686i \(0.630854\pi\)
−0.995306 + 0.0967781i \(0.969146\pi\)
\(762\) 4.30168e7 + 1.76700e7i 2.68380 + 1.10242i
\(763\) 377100. 1.16059e6i 0.0234501 0.0721720i
\(764\) 3.79814e7 5.22769e7i 2.35417 3.24023i
\(765\) −1.14620e7 5.75542e6i −0.708118 0.355568i
\(766\) 4.43276e7 + 1.44029e7i 2.72962 + 0.886907i
\(767\) −79311.1 244095.i −0.00486795 0.0149820i
\(768\) −6.73543e7 5.10144e6i −4.12062 0.312097i
\(769\)