Properties

Label 29.6.d.a.16.3
Level $29$
Weight $6$
Character 29.16
Analytic conductor $4.651$
Analytic rank $0$
Dimension $66$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 29 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 29.d (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.65113077458\)
Analytic rank: \(0\)
Dimension: \(66\)
Relative dimension: \(11\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 16.3
Character \(\chi\) \(=\) 29.16
Dual form 29.6.d.a.20.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-6.13336 - 2.95367i) q^{2} +(1.76173 - 2.20914i) q^{3} +(8.94225 + 11.2132i) q^{4} +(-38.8583 - 18.7131i) q^{5} +(-17.3304 + 8.34587i) q^{6} +(0.981087 - 1.23024i) q^{7} +(26.7482 + 117.192i) q^{8} +(52.2960 + 229.124i) q^{9} +O(q^{10})\) \(q+(-6.13336 - 2.95367i) q^{2} +(1.76173 - 2.20914i) q^{3} +(8.94225 + 11.2132i) q^{4} +(-38.8583 - 18.7131i) q^{5} +(-17.3304 + 8.34587i) q^{6} +(0.981087 - 1.23024i) q^{7} +(26.7482 + 117.192i) q^{8} +(52.2960 + 229.124i) q^{9} +(183.059 + 229.549i) q^{10} +(-96.3835 + 422.284i) q^{11} +40.5254 q^{12} +(-44.0450 + 192.974i) q^{13} +(-9.65109 + 4.64772i) q^{14} +(-109.798 + 52.8757i) q^{15} +(284.215 - 1245.23i) q^{16} -978.583 q^{17} +(356.006 - 1559.76i) q^{18} +(-85.9478 - 107.775i) q^{19} +(-137.645 - 603.064i) q^{20} +(-0.989369 - 4.33471i) q^{21} +(1838.44 - 2305.33i) q^{22} +(-1793.27 + 863.593i) q^{23} +(306.015 + 147.369i) q^{24} +(-788.624 - 988.903i) q^{25} +(840.124 - 1053.48i) q^{26} +(1216.92 + 586.037i) q^{27} +22.5681 q^{28} +(-2270.74 + 3918.53i) q^{29} +829.605 q^{30} +(2200.70 + 1059.80i) q^{31} +(-3022.89 + 3790.59i) q^{32} +(763.081 + 956.873i) q^{33} +(6002.00 + 2890.41i) q^{34} +(-61.1451 + 29.4459i) q^{35} +(-2101.57 + 2635.29i) q^{36} +(-390.052 - 1708.93i) q^{37} +(208.817 + 914.885i) q^{38} +(348.710 + 437.268i) q^{39} +(1153.63 - 5054.40i) q^{40} -12150.5 q^{41} +(-6.73515 + 29.5086i) q^{42} +(-5640.93 + 2716.53i) q^{43} +(-5597.05 + 2695.40i) q^{44} +(2255.49 - 9881.97i) q^{45} +13549.5 q^{46} +(1219.69 - 5343.80i) q^{47} +(-2250.17 - 2821.62i) q^{48} +(3739.36 + 16383.2i) q^{49} +(1916.02 + 8394.63i) q^{50} +(-1724.00 + 2161.82i) q^{51} +(-2557.72 + 1231.73i) q^{52} +(12899.9 + 6212.28i) q^{53} +(-5732.84 - 7188.75i) q^{54} +(11647.5 - 14605.6i) q^{55} +(170.417 + 82.0683i) q^{56} -389.507 q^{57} +(25501.3 - 17326.7i) q^{58} -42744.9 q^{59} +(-1574.75 - 758.357i) q^{60} +(16034.9 - 20107.2i) q^{61} +(-10367.4 - 13000.3i) q^{62} +(333.185 + 160.453i) q^{63} +(-7087.84 + 3413.32i) q^{64} +(5322.66 - 6674.40i) q^{65} +(-1853.96 - 8122.73i) q^{66} +(-3311.77 - 14509.8i) q^{67} +(-8750.74 - 10973.1i) q^{68} +(-1251.46 + 5482.99i) q^{69} +461.998 q^{70} +(-8454.80 + 37042.9i) q^{71} +(-25452.5 + 12257.3i) q^{72} +(46322.6 - 22307.8i) q^{73} +(-2655.28 + 11633.6i) q^{74} -3573.96 q^{75} +(439.941 - 1927.51i) q^{76} +(424.951 + 532.872i) q^{77} +(-847.216 - 3711.90i) q^{78} +(12849.7 + 56298.3i) q^{79} +(-34346.3 + 43068.8i) q^{80} +(-48014.8 + 23122.7i) q^{81} +(74523.3 + 35888.6i) q^{82} +(-23555.0 - 29537.1i) q^{83} +(39.7589 - 49.8561i) q^{84} +(38026.0 + 18312.4i) q^{85} +42621.6 q^{86} +(4656.14 + 11919.8i) q^{87} -52066.1 q^{88} +(87897.4 + 42329.2i) q^{89} +(-43021.8 + 53947.7i) q^{90} +(194.193 + 243.510i) q^{91} +(-25719.5 - 12385.9i) q^{92} +(6218.28 - 2994.57i) q^{93} +(-23264.6 + 29172.9i) q^{94} +(1322.97 + 5796.31i) q^{95} +(3048.41 + 13356.0i) q^{96} +(-17278.0 - 21666.0i) q^{97} +(25455.7 - 111529. i) q^{98} -101796. q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 66q - 11q^{2} - 5q^{3} - 171q^{4} + 29q^{5} + 445q^{6} + 17q^{7} + 1046q^{8} - 732q^{9} + O(q^{10}) \) \( 66q - 11q^{2} - 5q^{3} - 171q^{4} + 29q^{5} + 445q^{6} + 17q^{7} + 1046q^{8} - 732q^{9} - 141q^{10} + 1125q^{11} - 248q^{12} - 1789q^{13} + 1233q^{14} + 1061q^{15} + 2629q^{16} + 676q^{17} - 10896q^{18} - 1903q^{19} + 4081q^{20} - 439q^{21} - 2980q^{22} + 9945q^{23} + 10741q^{24} - 22114q^{25} - 1641q^{26} - 4427q^{27} + 7508q^{28} - 13100q^{29} - 40018q^{30} + 8541q^{31} + 18996q^{32} + 20725q^{33} - 8839q^{34} + 14127q^{35} + 70172q^{36} + 3791q^{37} + 36322q^{38} + 25843q^{39} - 72621q^{40} - 18720q^{41} - 72614q^{42} - 10419q^{43} + 35796q^{44} + 23163q^{45} + 15848q^{46} - 40549q^{47} - 4194q^{48} + 19808q^{49} + 201932q^{50} + 51998q^{51} + 8330q^{52} - 72275q^{53} - 197108q^{54} + 42183q^{55} + 31599q^{56} - 40162q^{57} - 258031q^{58} - 333512q^{59} + 26920q^{60} - 175281q^{61} + 213745q^{62} + 354423q^{63} - 19790q^{64} - 79593q^{65} + 103783q^{66} + 135179q^{67} + 334644q^{68} + 73673q^{69} - 511678q^{70} - 187563q^{71} - 17551q^{72} - 56675q^{73} + 159980q^{74} + 538208q^{75} - 215041q^{76} + 106099q^{77} + 37481q^{78} + 273775q^{79} + 571652q^{80} - 61356q^{81} - 37092q^{82} - 237831q^{83} + 127523q^{84} - 148844q^{85} - 348400q^{86} - 110493q^{87} - 985638q^{88} + 74239q^{89} - 630714q^{90} + 100309q^{91} + 132694q^{92} - 307921q^{93} + 206074q^{94} + 37965q^{95} + 687094q^{96} + 136055q^{97} - 115704q^{98} + 438608q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{7}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −6.13336 2.95367i −1.08423 0.522140i −0.195567 0.980690i \(-0.562655\pi\)
−0.888668 + 0.458550i \(0.848369\pi\)
\(3\) 1.76173 2.20914i 0.113015 0.141716i −0.722106 0.691782i \(-0.756826\pi\)
0.835121 + 0.550066i \(0.185397\pi\)
\(4\) 8.94225 + 11.2132i 0.279445 + 0.350413i
\(5\) −38.8583 18.7131i −0.695118 0.334751i 0.0527418 0.998608i \(-0.483204\pi\)
−0.747859 + 0.663857i \(0.768918\pi\)
\(6\) −17.3304 + 8.34587i −0.196530 + 0.0946440i
\(7\) 0.981087 1.23024i 0.00756767 0.00948956i −0.778033 0.628223i \(-0.783783\pi\)
0.785601 + 0.618734i \(0.212354\pi\)
\(8\) 26.7482 + 117.192i 0.147764 + 0.647398i
\(9\) 52.2960 + 229.124i 0.215210 + 0.942896i
\(10\) 183.059 + 229.549i 0.578884 + 0.725897i
\(11\) −96.3835 + 422.284i −0.240171 + 1.05226i 0.700690 + 0.713466i \(0.252876\pi\)
−0.940861 + 0.338793i \(0.889981\pi\)
\(12\) 40.5254 0.0812407
\(13\) −44.0450 + 192.974i −0.0722833 + 0.316694i −0.998124 0.0612194i \(-0.980501\pi\)
0.925841 + 0.377913i \(0.123358\pi\)
\(14\) −9.65109 + 4.64772i −0.0131600 + 0.00633753i
\(15\) −109.798 + 52.8757i −0.125998 + 0.0606776i
\(16\) 284.215 1245.23i 0.277554 1.21604i
\(17\) −978.583 −0.821250 −0.410625 0.911804i \(-0.634689\pi\)
−0.410625 + 0.911804i \(0.634689\pi\)
\(18\) 356.006 1559.76i 0.258986 1.13469i
\(19\) −85.9478 107.775i −0.0546199 0.0684912i 0.753771 0.657137i \(-0.228233\pi\)
−0.808391 + 0.588646i \(0.799661\pi\)
\(20\) −137.645 603.064i −0.0769462 0.337123i
\(21\) −0.989369 4.33471i −0.000489565 0.00214492i
\(22\) 1838.44 2305.33i 0.809828 1.01549i
\(23\) −1793.27 + 863.593i −0.706848 + 0.340400i −0.752532 0.658556i \(-0.771168\pi\)
0.0456838 + 0.998956i \(0.485453\pi\)
\(24\) 306.015 + 147.369i 0.108446 + 0.0522250i
\(25\) −788.624 988.903i −0.252360 0.316449i
\(26\) 840.124 1053.48i 0.243731 0.305629i
\(27\) 1216.92 + 586.037i 0.321257 + 0.154709i
\(28\) 22.5681 0.00544002
\(29\) −2270.74 + 3918.53i −0.501387 + 0.865223i
\(30\) 829.605 0.168294
\(31\) 2200.70 + 1059.80i 0.411298 + 0.198071i 0.628079 0.778149i \(-0.283841\pi\)
−0.216781 + 0.976220i \(0.569556\pi\)
\(32\) −3022.89 + 3790.59i −0.521852 + 0.654382i
\(33\) 763.081 + 956.873i 0.121979 + 0.152957i
\(34\) 6002.00 + 2890.41i 0.890428 + 0.428808i
\(35\) −61.1451 + 29.4459i −0.00843706 + 0.00406308i
\(36\) −2101.57 + 2635.29i −0.270264 + 0.338900i
\(37\) −390.052 1708.93i −0.0468401 0.205220i 0.946093 0.323895i \(-0.104992\pi\)
−0.992933 + 0.118675i \(0.962135\pi\)
\(38\) 208.817 + 914.885i 0.0234588 + 0.102780i
\(39\) 348.710 + 437.268i 0.0367116 + 0.0460348i
\(40\) 1153.63 5054.40i 0.114003 0.499482i
\(41\) −12150.5 −1.12884 −0.564422 0.825486i \(-0.690901\pi\)
−0.564422 + 0.825486i \(0.690901\pi\)
\(42\) −6.73515 + 29.5086i −0.000589147 + 0.00258122i
\(43\) −5640.93 + 2716.53i −0.465243 + 0.224049i −0.651794 0.758396i \(-0.725983\pi\)
0.186551 + 0.982445i \(0.440269\pi\)
\(44\) −5597.05 + 2695.40i −0.435840 + 0.209890i
\(45\) 2255.49 9881.97i 0.166039 0.727465i
\(46\) 13549.5 0.944126
\(47\) 1219.69 5343.80i 0.0805385 0.352862i −0.918562 0.395278i \(-0.870648\pi\)
0.999100 + 0.0424157i \(0.0135054\pi\)
\(48\) −2250.17 2821.62i −0.140965 0.176765i
\(49\) 3739.36 + 16383.2i 0.222488 + 0.974784i
\(50\) 1916.02 + 8394.63i 0.108386 + 0.474872i
\(51\) −1724.00 + 2161.82i −0.0928135 + 0.116384i
\(52\) −2557.72 + 1231.73i −0.131173 + 0.0631696i
\(53\) 12899.9 + 6212.28i 0.630809 + 0.303782i 0.721833 0.692067i \(-0.243300\pi\)
−0.0910243 + 0.995849i \(0.529014\pi\)
\(54\) −5732.84 7188.75i −0.267538 0.335482i
\(55\) 11647.5 14605.6i 0.519192 0.651046i
\(56\) 170.417 + 82.0683i 0.00726176 + 0.00349708i
\(57\) −389.507 −0.0158792
\(58\) 25501.3 17326.7i 0.995389 0.676311i
\(59\) −42744.9 −1.59865 −0.799326 0.600897i \(-0.794810\pi\)
−0.799326 + 0.600897i \(0.794810\pi\)
\(60\) −1574.75 758.357i −0.0564719 0.0271954i
\(61\) 16034.9 20107.2i 0.551751 0.691874i −0.425258 0.905072i \(-0.639817\pi\)
0.977009 + 0.213198i \(0.0683881\pi\)
\(62\) −10367.4 13000.3i −0.342523 0.429511i
\(63\) 333.185 + 160.453i 0.0105763 + 0.00509328i
\(64\) −7087.84 + 3413.32i −0.216304 + 0.104166i
\(65\) 5322.66 6674.40i 0.156259 0.195943i
\(66\) −1853.96 8122.73i −0.0523891 0.229532i
\(67\) −3311.77 14509.8i −0.0901308 0.394889i 0.909660 0.415354i \(-0.136342\pi\)
−0.999791 + 0.0204653i \(0.993485\pi\)
\(68\) −8750.74 10973.1i −0.229495 0.287777i
\(69\) −1251.46 + 5482.99i −0.0316442 + 0.138642i
\(70\) 461.998 0.0112693
\(71\) −8454.80 + 37042.9i −0.199048 + 0.872086i 0.772457 + 0.635067i \(0.219027\pi\)
−0.971505 + 0.237019i \(0.923830\pi\)
\(72\) −25452.5 + 12257.3i −0.578628 + 0.278653i
\(73\) 46322.6 22307.8i 1.01739 0.489947i 0.150583 0.988597i \(-0.451885\pi\)
0.866803 + 0.498650i \(0.166171\pi\)
\(74\) −2655.28 + 11633.6i −0.0563679 + 0.246964i
\(75\) −3573.96 −0.0733663
\(76\) 439.941 1927.51i 0.00873695 0.0382791i
\(77\) 424.951 + 532.872i 0.00816794 + 0.0102423i
\(78\) −847.216 3711.90i −0.0157673 0.0690811i
\(79\) 12849.7 + 56298.3i 0.231646 + 1.01491i 0.948274 + 0.317453i \(0.102828\pi\)
−0.716628 + 0.697456i \(0.754315\pi\)
\(80\) −34346.3 + 43068.8i −0.600004 + 0.752382i
\(81\) −48014.8 + 23122.7i −0.813135 + 0.391585i
\(82\) 74523.3 + 35888.6i 1.22393 + 0.589415i
\(83\) −23555.0 29537.1i −0.375308 0.470622i 0.557926 0.829891i \(-0.311597\pi\)
−0.933234 + 0.359269i \(0.883026\pi\)
\(84\) 39.7589 49.8561i 0.000614803 0.000770939i
\(85\) 38026.0 + 18312.4i 0.570865 + 0.274914i
\(86\) 42621.6 0.621418
\(87\) 4656.14 + 11919.8i 0.0659519 + 0.168838i
\(88\) −52066.1 −0.716719
\(89\) 87897.4 + 42329.2i 1.17625 + 0.566454i 0.916818 0.399306i \(-0.130749\pi\)
0.259436 + 0.965760i \(0.416463\pi\)
\(90\) −43021.8 + 53947.7i −0.559864 + 0.702047i
\(91\) 194.193 + 243.510i 0.00245827 + 0.00308257i
\(92\) −25719.5 12385.9i −0.316806 0.152566i
\(93\) 6218.28 2994.57i 0.0745527 0.0359027i
\(94\) −23264.6 + 29172.9i −0.271566 + 0.340533i
\(95\) 1322.97 + 5796.31i 0.0150398 + 0.0658935i
\(96\) 3048.41 + 13356.0i 0.0337594 + 0.147910i
\(97\) −17278.0 21666.0i −0.186451 0.233802i 0.679817 0.733382i \(-0.262059\pi\)
−0.866268 + 0.499580i \(0.833488\pi\)
\(98\) 25455.7 111529.i 0.267744 1.17307i
\(99\) −101796. −1.04386
\(100\) 4036.72 17686.0i 0.0403672 0.176860i
\(101\) 111369. 53632.4i 1.08633 0.523147i 0.196993 0.980405i \(-0.436883\pi\)
0.889334 + 0.457258i \(0.151168\pi\)
\(102\) 16959.2 8167.12i 0.161401 0.0777264i
\(103\) 39909.7 174856.i 0.370668 1.62400i −0.354239 0.935155i \(-0.615260\pi\)
0.724907 0.688847i \(-0.241883\pi\)
\(104\) −23793.0 −0.215708
\(105\) −42.6709 + 186.954i −0.000377710 + 0.00165486i
\(106\) −60770.9 76204.3i −0.525328 0.658741i
\(107\) −42775.8 187413.i −0.361193 1.58249i −0.750172 0.661242i \(-0.770030\pi\)
0.388980 0.921246i \(-0.372828\pi\)
\(108\) 4310.63 + 18886.1i 0.0355616 + 0.155805i
\(109\) −83821.6 + 105109.i −0.675756 + 0.847371i −0.994956 0.100317i \(-0.968014\pi\)
0.319200 + 0.947687i \(0.396586\pi\)
\(110\) −114579. + 55178.2i −0.902863 + 0.434796i
\(111\) −4462.42 2148.99i −0.0343766 0.0165549i
\(112\) −1253.10 1571.33i −0.00943928 0.0118365i
\(113\) 150488. 188706.i 1.10868 1.39024i 0.196477 0.980508i \(-0.437050\pi\)
0.912205 0.409734i \(-0.134379\pi\)
\(114\) 2388.98 + 1150.47i 0.0172168 + 0.00829115i
\(115\) 85843.9 0.605292
\(116\) −64244.9 + 9578.12i −0.443296 + 0.0660899i
\(117\) −46518.2 −0.314165
\(118\) 262170. + 126254.i 1.73332 + 0.834721i
\(119\) −960.075 + 1203.90i −0.00621495 + 0.00779330i
\(120\) −9133.47 11453.0i −0.0579006 0.0726050i
\(121\) −23931.7 11524.9i −0.148597 0.0715605i
\(122\) −157738. + 75962.7i −0.959482 + 0.462062i
\(123\) −21405.9 + 26842.1i −0.127576 + 0.159976i
\(124\) 7795.42 + 34154.0i 0.0455287 + 0.199474i
\(125\) 42130.3 + 184585.i 0.241168 + 1.05663i
\(126\) −1569.62 1968.24i −0.00880780 0.0110446i
\(127\) −22061.2 + 96656.4i −0.121372 + 0.531767i 0.877285 + 0.479969i \(0.159352\pi\)
−0.998658 + 0.0517975i \(0.983505\pi\)
\(128\) 208701. 1.12590
\(129\) −3936.60 + 17247.4i −0.0208280 + 0.0912533i
\(130\) −52359.7 + 25215.1i −0.271731 + 0.130859i
\(131\) 30044.1 14468.5i 0.152961 0.0736623i −0.355837 0.934548i \(-0.615804\pi\)
0.508798 + 0.860886i \(0.330090\pi\)
\(132\) −3905.98 + 17113.2i −0.0195117 + 0.0854863i
\(133\) −216.912 −0.00106330
\(134\) −22544.9 + 98775.8i −0.108464 + 0.475213i
\(135\) −36320.7 45544.8i −0.171522 0.215082i
\(136\) −26175.3 114682.i −0.121351 0.531676i
\(137\) 93441.6 + 409394.i 0.425343 + 1.86355i 0.499519 + 0.866303i \(0.333510\pi\)
−0.0741767 + 0.997245i \(0.523633\pi\)
\(138\) 23870.6 29932.8i 0.106700 0.133798i
\(139\) −378167. + 182116.i −1.66015 + 0.799485i −0.661370 + 0.750060i \(0.730025\pi\)
−0.998778 + 0.0494250i \(0.984261\pi\)
\(140\) −876.958 422.321i −0.00378145 0.00182105i
\(141\) −9656.42 12108.8i −0.0409043 0.0512923i
\(142\) 161269. 202225.i 0.671166 0.841615i
\(143\) −77244.4 37198.9i −0.315883 0.152121i
\(144\) 300175. 1.20633
\(145\) 161565. 109774.i 0.638157 0.433592i
\(146\) −350003. −1.35891
\(147\) 42780.5 + 20602.0i 0.163287 + 0.0786350i
\(148\) 15674.7 19655.4i 0.0588226 0.0737612i
\(149\) −14008.6 17566.2i −0.0516926 0.0648205i 0.755313 0.655364i \(-0.227485\pi\)
−0.807006 + 0.590544i \(0.798913\pi\)
\(150\) 21920.4 + 10556.3i 0.0795463 + 0.0383075i
\(151\) −310419. + 149490.i −1.10791 + 0.533544i −0.896139 0.443774i \(-0.853639\pi\)
−0.211776 + 0.977318i \(0.567925\pi\)
\(152\) 10331.4 12955.2i 0.0362702 0.0454814i
\(153\) −51176.0 224217.i −0.176741 0.774353i
\(154\) −1032.45 4523.46i −0.00350806 0.0153698i
\(155\) −65683.2 82364.1i −0.219596 0.275365i
\(156\) −1784.94 + 7820.33i −0.00587235 + 0.0257284i
\(157\) −42755.8 −0.138435 −0.0692175 0.997602i \(-0.522050\pi\)
−0.0692175 + 0.997602i \(0.522050\pi\)
\(158\) 87474.6 383251.i 0.278766 1.22135i
\(159\) 36449.9 17553.4i 0.114342 0.0550640i
\(160\) 188398. 90727.7i 0.581804 0.280182i
\(161\) −696.923 + 3053.42i −0.00211895 + 0.00928372i
\(162\) 362789. 1.08609
\(163\) 8440.44 36980.0i 0.0248826 0.109018i −0.960962 0.276682i \(-0.910765\pi\)
0.985844 + 0.167664i \(0.0536224\pi\)
\(164\) −108653. 136246.i −0.315451 0.395562i
\(165\) −11745.9 51462.1i −0.0335873 0.147156i
\(166\) 57228.7 + 250735.i 0.161192 + 0.706228i
\(167\) −419453. + 525978.i −1.16384 + 1.45941i −0.301217 + 0.953556i \(0.597393\pi\)
−0.862621 + 0.505851i \(0.831179\pi\)
\(168\) 481.528 231.891i 0.00131628 0.000633887i
\(169\) 299225. + 144099.i 0.805899 + 0.388100i
\(170\) −179139. 224633.i −0.475408 0.596143i
\(171\) 20199.1 25328.9i 0.0528253 0.0662409i
\(172\) −80903.7 38961.2i −0.208520 0.100418i
\(173\) 459315. 1.16680 0.583399 0.812186i \(-0.301723\pi\)
0.583399 + 0.812186i \(0.301723\pi\)
\(174\) 6649.29 86860.9i 0.0166495 0.217496i
\(175\) −1990.30 −0.00491274
\(176\) 498446. + 240039.i 1.21293 + 0.584117i
\(177\) −75304.9 + 94429.3i −0.180672 + 0.226555i
\(178\) −414080. 519240.i −0.979567 1.22834i
\(179\) −275307. 132581.i −0.642221 0.309277i 0.0842808 0.996442i \(-0.473141\pi\)
−0.726502 + 0.687165i \(0.758855\pi\)
\(180\) 130978. 63075.7i 0.301312 0.145104i
\(181\) −163670. + 205235.i −0.371340 + 0.465645i −0.932030 0.362380i \(-0.881964\pi\)
0.560691 + 0.828025i \(0.310536\pi\)
\(182\) −471.806 2067.12i −0.00105581 0.00462579i
\(183\) −16170.3 70846.8i −0.0356936 0.156384i
\(184\) −149173. 187057.i −0.324821 0.407313i
\(185\) −16822.7 + 73705.1i −0.0361382 + 0.158332i
\(186\) −46983.9 −0.0995788
\(187\) 94319.2 413240.i 0.197241 0.864167i
\(188\) 70828.0 34109.0i 0.146154 0.0703840i
\(189\) 1914.87 922.154i 0.00389929 0.00187780i
\(190\) 9006.14 39458.5i 0.0180990 0.0792969i
\(191\) 206802. 0.410178 0.205089 0.978743i \(-0.434252\pi\)
0.205089 + 0.978743i \(0.434252\pi\)
\(192\) −4946.35 + 21671.4i −0.00968348 + 0.0424261i
\(193\) −118803. 148974.i −0.229579 0.287883i 0.653677 0.756774i \(-0.273225\pi\)
−0.883256 + 0.468890i \(0.844654\pi\)
\(194\) 41978.3 + 183919.i 0.0800793 + 0.350850i
\(195\) −5367.59 23516.9i −0.0101086 0.0442888i
\(196\) −150270. + 188433.i −0.279404 + 0.350362i
\(197\) 117978. 56815.1i 0.216588 0.104303i −0.322444 0.946589i \(-0.604504\pi\)
0.539032 + 0.842285i \(0.318790\pi\)
\(198\) 624349. + 300671.i 1.13179 + 0.545040i
\(199\) −175570. 220158.i −0.314281 0.394096i 0.599452 0.800410i \(-0.295385\pi\)
−0.913733 + 0.406315i \(0.866814\pi\)
\(200\) 94796.8 118871.i 0.167579 0.210137i
\(201\) −37888.6 18246.2i −0.0661483 0.0318553i
\(202\) −841478. −1.45099
\(203\) 2592.95 + 6637.99i 0.00441626 + 0.0113057i
\(204\) −39657.4 −0.0667190
\(205\) 472147. + 227374.i 0.784680 + 0.377882i
\(206\) −761246. + 954572.i −1.24985 + 1.56726i
\(207\) −291651. 365718.i −0.473082 0.593227i
\(208\) 227778. + 109692.i 0.365051 + 0.175799i
\(209\) 53795.6 25906.6i 0.0851886 0.0410247i
\(210\) 813.915 1020.62i 0.00127359 0.00159704i
\(211\) −77266.7 338528.i −0.119478 0.523465i −0.998877 0.0473805i \(-0.984913\pi\)
0.879399 0.476085i \(-0.157944\pi\)
\(212\) 45694.7 + 200202.i 0.0698275 + 0.305934i
\(213\) 66937.8 + 83937.3i 0.101093 + 0.126767i
\(214\) −291197. + 1.27582e6i −0.434663 + 1.90438i
\(215\) 270032. 0.398399
\(216\) −36128.2 + 158288.i −0.0526881 + 0.230841i
\(217\) 3462.89 1667.64i 0.00499218 0.00240411i
\(218\) 824565. 397090.i 1.17512 0.565910i
\(219\) 32326.9 141633.i 0.0455463 0.199551i
\(220\) 267931. 0.373221
\(221\) 43101.7 188841.i 0.0593627 0.260085i
\(222\) 21022.2 + 26361.0i 0.0286283 + 0.0358988i
\(223\) 196928. + 862797.i 0.265183 + 1.16184i 0.915545 + 0.402217i \(0.131760\pi\)
−0.650362 + 0.759624i \(0.725383\pi\)
\(224\) 1697.63 + 7437.79i 0.00226059 + 0.00990430i
\(225\) 185339. 232408.i 0.244068 0.306052i
\(226\) −1.48038e6 + 712911.i −1.92797 + 0.928463i
\(227\) 664601. + 320055.i 0.856045 + 0.412249i 0.809818 0.586682i \(-0.199566\pi\)
0.0462269 + 0.998931i \(0.485280\pi\)
\(228\) −3483.07 4367.63i −0.00443736 0.00556428i
\(229\) 246382. 308954.i 0.310471 0.389318i −0.601975 0.798515i \(-0.705619\pi\)
0.912446 + 0.409196i \(0.134191\pi\)
\(230\) −526511. 253555.i −0.656279 0.316047i
\(231\) 1925.84 0.00237459
\(232\) −519957. 161298.i −0.634231 0.196748i
\(233\) 460128. 0.555250 0.277625 0.960689i \(-0.410453\pi\)
0.277625 + 0.960689i \(0.410453\pi\)
\(234\) 285313. + 137399.i 0.340629 + 0.164038i
\(235\) −147394. + 184826.i −0.174105 + 0.218321i
\(236\) −382236. 479308.i −0.446736 0.560189i
\(237\) 147008. + 70795.4i 0.170009 + 0.0818718i
\(238\) 9444.40 4548.18i 0.0108077 0.00520470i
\(239\) 806504. 1.01132e6i 0.913297 1.14524i −0.0756750 0.997133i \(-0.524111\pi\)
0.988972 0.148105i \(-0.0473174\pi\)
\(240\) 34636.2 + 151751.i 0.0388152 + 0.170061i
\(241\) 79179.5 + 346908.i 0.0878153 + 0.384744i 0.999668 0.0257740i \(-0.00820502\pi\)
−0.911852 + 0.410518i \(0.865348\pi\)
\(242\) 112741. + 141373.i 0.123749 + 0.155177i
\(243\) −106542. + 466793.i −0.115746 + 0.507118i
\(244\) 368855. 0.396626
\(245\) 161276. 706598.i 0.171655 0.752068i
\(246\) 210573. 101406.i 0.221852 0.106838i
\(247\) 24583.3 11838.7i 0.0256388 0.0123470i
\(248\) −65335.0 + 286251.i −0.0674554 + 0.295541i
\(249\) −106749. −0.109110
\(250\) 286803. 1.25656e6i 0.290224 1.27155i
\(251\) −552957. 693386.i −0.553997 0.694690i 0.423439 0.905925i \(-0.360823\pi\)
−0.977435 + 0.211235i \(0.932252\pi\)
\(252\) 1180.22 + 5170.89i 0.00117075 + 0.00512937i
\(253\) −191840. 840505.i −0.188424 0.825541i
\(254\) 420800. 527667.i 0.409253 0.513187i
\(255\) 107446. 51743.3i 0.103476 0.0498315i
\(256\) −1.05323e6 507208.i −1.00444 0.483711i
\(257\) −1.08359e6 1.35878e6i −1.02337 1.28327i −0.958415 0.285380i \(-0.907880\pi\)
−0.0649572 0.997888i \(-0.520691\pi\)
\(258\) 75087.6 94156.9i 0.0702294 0.0880649i
\(259\) −2485.07 1196.75i −0.00230192 0.00110855i
\(260\) 122438. 0.112327
\(261\) −1.01658e6 315358.i −0.923719 0.286551i
\(262\) −227007. −0.204308
\(263\) −500169. 240869.i −0.445890 0.214729i 0.197445 0.980314i \(-0.436735\pi\)
−0.643335 + 0.765585i \(0.722450\pi\)
\(264\) −91726.4 + 115021.i −0.0809999 + 0.101571i
\(265\) −385018. 482797.i −0.336795 0.422328i
\(266\) 1330.40 + 640.687i 0.00115286 + 0.000555190i
\(267\) 248362. 119605.i 0.213210 0.102676i
\(268\) 133087. 166886.i 0.113188 0.141933i
\(269\) 128387. + 562502.i 0.108179 + 0.473962i 0.999777 + 0.0211339i \(0.00672764\pi\)
−0.891598 + 0.452828i \(0.850415\pi\)
\(270\) 88243.9 + 386622.i 0.0736674 + 0.322758i
\(271\) 1.38581e6 + 1.73776e6i 1.14626 + 1.43736i 0.880958 + 0.473194i \(0.156899\pi\)
0.265299 + 0.964166i \(0.414529\pi\)
\(272\) −278128. + 1.21856e6i −0.227941 + 0.998676i
\(273\) 880.062 0.000714672
\(274\) 636105. 2.78696e6i 0.511862 2.24261i
\(275\) 493608. 237709.i 0.393596 0.189546i
\(276\) −72672.9 + 34997.4i −0.0574249 + 0.0276544i
\(277\) −411741. + 1.80396e6i −0.322422 + 1.41262i 0.510807 + 0.859695i \(0.329347\pi\)
−0.833229 + 0.552928i \(0.813510\pi\)
\(278\) 2.85734e6 2.21743
\(279\) −127738. + 559656.i −0.0982447 + 0.430438i
\(280\) −5086.33 6378.06i −0.00387712 0.00486176i
\(281\) 539242. + 2.36257e6i 0.407397 + 1.78492i 0.596124 + 0.802893i \(0.296707\pi\)
−0.188727 + 0.982030i \(0.560436\pi\)
\(282\) 23461.0 + 102789.i 0.0175681 + 0.0769707i
\(283\) −826007. + 1.03578e6i −0.613080 + 0.768778i −0.987352 0.158540i \(-0.949321\pi\)
0.374272 + 0.927319i \(0.377893\pi\)
\(284\) −490976. + 236441.i −0.361214 + 0.173951i
\(285\) 15135.6 + 7288.90i 0.0110379 + 0.00531557i
\(286\) 363894. + 456309.i 0.263063 + 0.329871i
\(287\) −11920.7 + 14948.1i −0.00854273 + 0.0107122i
\(288\) −1.02660e6 494383.i −0.729322 0.351223i
\(289\) −462232. −0.325548
\(290\) −1.31517e6 + 196076.i −0.918308 + 0.136908i
\(291\) −78302.3 −0.0542053
\(292\) 664371. + 319944.i 0.455988 + 0.219592i
\(293\) −734782. + 921387.i −0.500022 + 0.627008i −0.966234 0.257665i \(-0.917047\pi\)
0.466212 + 0.884673i \(0.345618\pi\)
\(294\) −201536. 252719.i −0.135983 0.170518i
\(295\) 1.66099e6 + 799891.i 1.11125 + 0.535151i
\(296\) 189839. 91421.5i 0.125938 0.0606484i
\(297\) −364765. + 457401.i −0.239951 + 0.300889i
\(298\) 34034.9 + 149117.i 0.0222016 + 0.0972714i
\(299\) −87666.2 384091.i −0.0567093 0.248460i
\(300\) −31959.3 40075.7i −0.0205019 0.0257085i
\(301\) −2192.25 + 9604.88i −0.00139468 + 0.00611048i
\(302\) 2.34546e6 1.47982
\(303\) 77720.3 340515.i 0.0486326 0.213074i
\(304\) −158632. + 76393.3i −0.0984482 + 0.0474102i
\(305\) −999359. + 481266.i −0.615137 + 0.296234i
\(306\) −348381. + 1.52636e6i −0.212692 + 0.931864i
\(307\) 80143.7 0.0485315 0.0242657 0.999706i \(-0.492275\pi\)
0.0242657 + 0.999706i \(0.492275\pi\)
\(308\) −2175.20 + 9530.15i −0.00130654 + 0.00572431i
\(309\) −315970. 396214.i −0.188256 0.236066i
\(310\) 159582. + 699175.i 0.0943149 + 0.413220i
\(311\) −457078. 2.00259e6i −0.267972 1.17406i −0.912369 0.409370i \(-0.865749\pi\)
0.644397 0.764691i \(-0.277108\pi\)
\(312\) −41916.8 + 52562.0i −0.0243782 + 0.0305693i
\(313\) 1.28107e6 616932.i 0.739117 0.355940i −0.0261459 0.999658i \(-0.508323\pi\)
0.765262 + 0.643718i \(0.222609\pi\)
\(314\) 262237. + 126287.i 0.150096 + 0.0722825i
\(315\) −9944.40 12469.9i −0.00564680 0.00708086i
\(316\) −516380. + 647520.i −0.290905 + 0.364784i
\(317\) −2.56352e6 1.23452e6i −1.43281 0.690004i −0.453290 0.891363i \(-0.649750\pi\)
−0.979517 + 0.201359i \(0.935464\pi\)
\(318\) −275407. −0.152724
\(319\) −1.43587e6 1.33658e6i −0.790020 0.735390i
\(320\) 339295. 0.185226
\(321\) −489381. 235673.i −0.265084 0.127658i
\(322\) 13293.3 16669.2i 0.00714484 0.00895934i
\(323\) 84107.1 + 105467.i 0.0448566 + 0.0562484i
\(324\) −688641. 331632.i −0.364444 0.175507i
\(325\) 225567. 108627.i 0.118459 0.0570468i
\(326\) −160995. + 201881.i −0.0839012 + 0.105209i
\(327\) 84529.2 + 370347.i 0.0437157 + 0.191531i
\(328\) −325004. 1.42394e6i −0.166803 0.730812i
\(329\) −5377.56 6743.24i −0.00273902 0.00343462i
\(330\) −79960.2 + 350329.i −0.0404193 + 0.177089i
\(331\) 2.95624e6 1.48310 0.741548 0.670900i \(-0.234092\pi\)
0.741548 + 0.670900i \(0.234092\pi\)
\(332\) 120571. 528256.i 0.0600340 0.263026i
\(333\) 371158. 178740.i 0.183421 0.0883307i
\(334\) 4.12622e6 1.98708e6i 2.02389 0.974653i
\(335\) −142835. + 625800.i −0.0695379 + 0.304666i
\(336\) −5678.90 −0.00274420
\(337\) 6700.03 29354.7i 0.00321367 0.0140800i −0.973296 0.229555i \(-0.926273\pi\)
0.976509 + 0.215475i \(0.0691300\pi\)
\(338\) −1.40963e6 1.76762e6i −0.671141 0.841584i
\(339\) −151759. 664899.i −0.0717224 0.314236i
\(340\) 134698. + 590148.i 0.0631920 + 0.276862i
\(341\) −659648. + 827173.i −0.307204 + 0.385221i
\(342\) −198702. + 95689.7i −0.0918621 + 0.0442384i
\(343\) 47651.5 + 22947.7i 0.0218696 + 0.0105318i
\(344\) −469239. 588407.i −0.213795 0.268091i
\(345\) 151234. 189641.i 0.0684070 0.0857796i
\(346\) −2.81714e6 1.35666e6i −1.26508 0.609231i
\(347\) −1.61638e6 −0.720643 −0.360321 0.932828i \(-0.617333\pi\)
−0.360321 + 0.932828i \(0.617333\pi\)
\(348\) −92022.7 + 158800.i −0.0407330 + 0.0702914i
\(349\) 2.62219e6 1.15239 0.576197 0.817311i \(-0.304536\pi\)
0.576197 + 0.817311i \(0.304536\pi\)
\(350\) 12207.2 + 5878.69i 0.00532656 + 0.00256514i
\(351\) −166689. + 209021.i −0.0722169 + 0.0905571i
\(352\) −1.30935e6 1.64187e6i −0.563245 0.706287i
\(353\) −895634. 431314.i −0.382555 0.184229i 0.232716 0.972545i \(-0.425239\pi\)
−0.615270 + 0.788316i \(0.710953\pi\)
\(354\) 740785. 356743.i 0.314184 0.151303i
\(355\) 1.02173e6 1.28121e6i 0.430293 0.539571i
\(356\) 311354. + 1.36413e6i 0.130206 + 0.570468i
\(357\) 968.180 + 4241.87i 0.000402055 + 0.00176152i
\(358\) 1.29696e6 + 1.62633e6i 0.534832 + 0.670658i
\(359\) −933115. + 4.08824e6i −0.382119 + 1.67417i 0.308710 + 0.951156i \(0.400103\pi\)
−0.690829 + 0.723018i \(0.742754\pi\)
\(360\) 1.21841e6 0.495494
\(361\) 546755. 2.39549e6i 0.220813 0.967446i
\(362\) 1.61004e6 775355.i 0.645752 0.310978i
\(363\) −67621.2 + 32564.7i −0.0269350 + 0.0129712i
\(364\) −994.013 + 4355.06i −0.000393223 + 0.00172282i
\(365\) −2.21746e6 −0.871213
\(366\) −110080. + 482291.i −0.0429541 + 0.188194i
\(367\) 3.05240e6 + 3.82759e6i 1.18298 + 1.48341i 0.838745 + 0.544524i \(0.183290\pi\)
0.344233 + 0.938884i \(0.388139\pi\)
\(368\) 565696. + 2.47848e6i 0.217753 + 0.954037i
\(369\) −635422. 2.78397e6i −0.242939 1.06438i
\(370\) 320880. 402371.i 0.121854 0.152800i
\(371\) 20298.6 9775.28i 0.00765651 0.00368718i
\(372\) 89184.2 + 42948.9i 0.0334142 + 0.0160914i
\(373\) −212550. 266530.i −0.0791024 0.0991913i 0.740706 0.671830i \(-0.234491\pi\)
−0.819808 + 0.572638i \(0.805920\pi\)
\(374\) −1.79907e6 + 2.25596e6i −0.665072 + 0.833973i
\(375\) 481995. + 232117.i 0.176996 + 0.0852370i
\(376\) 658872. 0.240343
\(377\) −656158. 610785.i −0.237769 0.221327i
\(378\) −14468.3 −0.00520822
\(379\) 375172. + 180673.i 0.134163 + 0.0646094i 0.499761 0.866163i \(-0.333421\pi\)
−0.365598 + 0.930773i \(0.619136\pi\)
\(380\) −53165.0 + 66666.8i −0.0188872 + 0.0236838i
\(381\) 174661. + 219018.i 0.0616431 + 0.0772980i
\(382\) −1.26839e6 610826.i −0.444729 0.214170i
\(383\) −270089. + 130068.i −0.0940826 + 0.0453078i −0.480333 0.877086i \(-0.659484\pi\)
0.386251 + 0.922394i \(0.373770\pi\)
\(384\) 367674. 461049.i 0.127243 0.159558i
\(385\) −6541.15 28658.7i −0.00224907 0.00985381i
\(386\) 288640. + 1.26461e6i 0.0986025 + 0.432006i
\(387\) −917419. 1.15041e6i −0.311380 0.390458i
\(388\) 88440.9 387485.i 0.0298246 0.130670i
\(389\) −3.18574e6 −1.06742 −0.533712 0.845667i \(-0.679203\pi\)
−0.533712 + 0.845667i \(0.679203\pi\)
\(390\) −36539.9 + 160092.i −0.0121648 + 0.0532976i
\(391\) 1.75486e6 845098.i 0.580499 0.279554i
\(392\) −1.81995e6 + 876442.i −0.598197 + 0.288077i
\(393\) 20966.7 91861.1i 0.00684776 0.0300020i
\(394\) −891413. −0.289293
\(395\) 554200. 2.42811e6i 0.178720 0.783025i
\(396\) −910282. 1.14146e6i −0.291701 0.365782i
\(397\) −48952.7 214476.i −0.0155883 0.0682970i 0.966535 0.256533i \(-0.0825802\pi\)
−0.982124 + 0.188236i \(0.939723\pi\)
\(398\) 426561. + 1.86888e6i 0.134981 + 0.591391i
\(399\) −382.140 + 479.188i −0.000120168 + 0.000150686i
\(400\) −1.45555e6 + 700955.i −0.454859 + 0.219049i
\(401\) 806388. + 388336.i 0.250428 + 0.120600i 0.554887 0.831926i \(-0.312761\pi\)
−0.304459 + 0.952525i \(0.598476\pi\)
\(402\) 178491. + 223821.i 0.0550873 + 0.0690773i
\(403\) −301444. + 377998.i −0.0924578 + 0.115938i
\(404\) 1.59728e6 + 769210.i 0.486887 + 0.234472i
\(405\) 2.29847e6 0.696308
\(406\) 3702.92 48371.9i 0.00111488 0.0145639i
\(407\) 759247. 0.227194
\(408\) −299461. 144213.i −0.0890616 0.0428898i
\(409\) −2.85721e6 + 3.58283e6i −0.844568 + 1.05905i 0.152922 + 0.988238i \(0.451132\pi\)
−0.997489 + 0.0708163i \(0.977440\pi\)
\(410\) −2.22426e6 2.78913e6i −0.653470 0.819426i
\(411\) 1.06903e6 + 514816.i 0.312165 + 0.150331i
\(412\) 2.31758e6 1.11609e6i 0.672653 0.323933i
\(413\) −41936.5 + 52586.7i −0.0120981 + 0.0151705i
\(414\) 708586. + 3.10452e6i 0.203185 + 0.890212i
\(415\) 362576. + 1.58855e6i 0.103342 + 0.452772i
\(416\) −598340. 750294.i −0.169518 0.212568i
\(417\) −263909. + 1.15626e6i −0.0743214 + 0.325623i
\(418\) −406468. −0.113785
\(419\) 189754. 831367.i 0.0528027 0.231344i −0.941640 0.336621i \(-0.890716\pi\)
0.994443 + 0.105277i \(0.0335730\pi\)
\(420\) −2477.93 + 1193.31i −0.000685433 + 0.000330087i
\(421\) 316446. 152392.i 0.0870151 0.0419043i −0.389870 0.920870i \(-0.627480\pi\)
0.476885 + 0.878966i \(0.341766\pi\)
\(422\) −525994. + 2.30453e6i −0.143780 + 0.629943i
\(423\) 1.28818e6 0.350045
\(424\) −382977. + 1.67793e6i −0.103456 + 0.453272i
\(425\) 771734. + 967724.i 0.207250 + 0.259884i
\(426\) −162630. 712530.i −0.0434188 0.190230i
\(427\) −9005.07 39453.8i −0.00239011 0.0104717i
\(428\) 1.71899e6 2.15555e6i 0.453592 0.568786i
\(429\) −218261. + 105109.i −0.0572576 + 0.0275738i
\(430\) −1.65620e6 797584.i −0.431958 0.208020i
\(431\) 1.77364e6 + 2.22408e6i 0.459911 + 0.576710i 0.956668 0.291180i \(-0.0940477\pi\)
−0.496758 + 0.867889i \(0.665476\pi\)
\(432\) 1.07562e6 1.34878e6i 0.277299 0.347722i
\(433\) 2.12875e6 + 1.02515e6i 0.545638 + 0.262766i 0.686333 0.727287i \(-0.259219\pi\)
−0.140695 + 0.990053i \(0.544934\pi\)
\(434\) −26164.8 −0.00666797
\(435\) 42127.0 550312.i 0.0106742 0.139440i
\(436\) −1.92816e6 −0.485767
\(437\) 247202. + 119046.i 0.0619224 + 0.0298202i
\(438\) −616610. + 773205.i −0.153577 + 0.192579i
\(439\) 3.62508e6 + 4.54571e6i 0.897752 + 1.12575i 0.991494 + 0.130149i \(0.0415457\pi\)
−0.0937421 + 0.995597i \(0.529883\pi\)
\(440\) 2.02320e6 + 974322.i 0.498204 + 0.239922i
\(441\) −3.55823e6 + 1.71355e6i −0.871238 + 0.419566i
\(442\) −822131. + 1.03092e6i −0.200164 + 0.250997i
\(443\) −1.66277e6 7.28508e6i −0.402553 1.76370i −0.616999 0.786964i \(-0.711652\pi\)
0.214446 0.976736i \(-0.431205\pi\)
\(444\) −15807.0 69254.9i −0.00380532 0.0166722i
\(445\) −2.62343e6 3.28967e6i −0.628014 0.787504i
\(446\) 1.34059e6 5.87351e6i 0.319123 1.39817i
\(447\) −63485.5 −0.0150282
\(448\) −2754.57 + 12068.5i −0.000648423 + 0.00284093i
\(449\) 284957. 137228.i 0.0667057 0.0321238i −0.400233 0.916413i \(-0.631071\pi\)
0.466939 + 0.884289i \(0.345357\pi\)
\(450\) −1.82321e6 + 878011.i −0.424429 + 0.204394i
\(451\) 1.17111e6 5.13095e6i 0.271116 1.18784i
\(452\) 3.46171e6 0.796976
\(453\) −216630. + 949120.i −0.0495991 + 0.217308i
\(454\) −3.13090e6 3.92602e6i −0.712902 0.893950i
\(455\) −2989.15 13096.3i −0.000676892 0.00296566i
\(456\) −10418.6 45646.9i −0.00234638 0.0102801i
\(457\) −579581. + 726771.i −0.129815 + 0.162782i −0.842491 0.538711i \(-0.818912\pi\)
0.712676 + 0.701493i \(0.247483\pi\)
\(458\) −2.42370e6 + 1.16719e6i −0.539902 + 0.260003i
\(459\) −1.19086e6 573486.i −0.263832 0.127055i
\(460\) 767638. + 962587.i 0.169146 + 0.212102i
\(461\) 4.30565e6 5.39911e6i 0.943597 1.18323i −0.0393285 0.999226i \(-0.512522\pi\)
0.982925 0.184006i \(-0.0589067\pi\)
\(462\) −11811.8 5688.28i −0.00257462 0.00123987i
\(463\) −2.18677e6 −0.474080 −0.237040 0.971500i \(-0.576177\pi\)
−0.237040 + 0.971500i \(0.576177\pi\)
\(464\) 4.23408e6 + 3.94130e6i 0.912987 + 0.849854i
\(465\) −297669. −0.0638413
\(466\) −2.82213e6 1.35907e6i −0.602022 0.289918i
\(467\) 3.46593e6 4.34614e6i 0.735407 0.922171i −0.263693 0.964607i \(-0.584940\pi\)
0.999099 + 0.0424360i \(0.0135119\pi\)
\(468\) −415978. 521619.i −0.0877921 0.110088i
\(469\) −21099.8 10161.1i −0.00442940 0.00213309i
\(470\) 1.44994e6 698253.i 0.302764 0.145804i
\(471\) −75324.1 + 94453.4i −0.0156452 + 0.0196185i
\(472\) −1.14335e6 5.00934e6i −0.236224 1.03496i
\(473\) −603453. 2.64390e6i −0.124020 0.543366i
\(474\) −692548. 868428.i −0.141581 0.177537i
\(475\) −38798.7 + 169988.i −0.00789011 + 0.0345688i
\(476\) −22084.8 −0.00446762
\(477\) −748766. + 3.28056e6i −0.150678 + 0.660164i
\(478\) −7.93370e6 + 3.82067e6i −1.58820 + 0.764838i
\(479\) −3.94168e6 + 1.89821e6i −0.784952 + 0.378013i −0.783029 0.621985i \(-0.786326\pi\)
−0.00192271 + 0.999998i \(0.500612\pi\)
\(480\) 131476. 576035.i 0.0260462 0.114116i
\(481\) 346958. 0.0683776
\(482\) 539016. 2.36158e6i 0.105678 0.463005i
\(483\) 5517.63 + 6918.89i 0.00107618 + 0.00134949i
\(484\) −84771.9 371410.i −0.0164490 0.0720677i
\(485\) 265956. + 1.16523e6i 0.0513399 + 0.224935i
\(486\) 2.03222e6 2.54832e6i 0.390283 0.489399i
\(487\) 2.63194e6 1.26748e6i 0.502868 0.242168i −0.165212 0.986258i \(-0.552831\pi\)
0.668080 + 0.744090i \(0.267117\pi\)
\(488\) 2.78530e6 + 1.34133e6i 0.529447 + 0.254968i
\(489\) −66824.0 83794.7i −0.0126375 0.0158469i
\(490\) −3.07622e6 + 3.85746e6i −0.578799 + 0.725790i
\(491\) 3.71946e6 + 1.79120e6i 0.696267 + 0.335304i 0.748318 0.663340i \(-0.230862\pi\)
−0.0520513 + 0.998644i \(0.516576\pi\)
\(492\) −492403. −0.0917082
\(493\) 2.22211e6 3.83461e6i 0.411764 0.710565i
\(494\) −185746. −0.0342454
\(495\) 3.95560e6 + 1.90492e6i 0.725604 + 0.349432i
\(496\) 1.94517e6 2.43916e6i 0.355020 0.445181i
\(497\) 37276.9 + 46743.8i 0.00676938 + 0.00848854i
\(498\) 654730. + 315301.i 0.118301 + 0.0569708i
\(499\) −6.97428e6 + 3.35863e6i −1.25386 + 0.603825i −0.938543 0.345162i \(-0.887824\pi\)
−0.315313 + 0.948988i \(0.602110\pi\)
\(500\) −1.69305e6 + 2.12302e6i −0.302862 + 0.379778i
\(501\) 422994. + 1.85326e6i 0.0752905 + 0.329869i
\(502\) 1.34345e6 + 5.88604e6i 0.237937 + 1.04247i
\(503\) 3.64779e6 + 4.57419e6i 0.642851 + 0.806109i 0.991356 0.131197i \(-0.0418822\pi\)
−0.348506 + 0.937307i \(0.613311\pi\)
\(504\) −9891.69 + 43338.3i −0.00173458 + 0.00759968i
\(505\) −5.33123e6 −0.930249
\(506\) −1.30595e6 + 5.72175e6i −0.226752 + 0.993465i
\(507\) 845487. 407165.i 0.146079 0.0703478i
\(508\) −1.28111e6 + 616948.i −0.220255 + 0.106069i
\(509\) 1.32011e6 5.78380e6i 0.225848 0.989507i −0.727137 0.686492i \(-0.759150\pi\)
0.952986 0.303015i \(-0.0979931\pi\)
\(510\) −811838. −0.138211
\(511\) 18002.5 78874.0i 0.00304986 0.0133623i
\(512\) 797763. + 1.00036e6i 0.134493 + 0.168649i
\(513\) −41431.3 181522.i −0.00695080 0.0304535i
\(514\) 2.63267e6 + 1.15345e7i 0.439530 + 1.92571i
\(515\) −4.82292e6 + 6.04775e6i −0.801294 + 1.00479i
\(516\) −228601. + 110088.i −0.0377967 + 0.0182019i
\(517\) 2.13904e6 + 1.03011e6i 0.351959 + 0.169495i
\(518\) 11707.0 + 14680.2i 0.00191700 + 0.00240385i
\(519\) 809188. 1.01469e6i 0.131865 0.165354i
\(520\) 924554. + 445242.i 0.149942 + 0.0722084i
\(521\) 9.29242e6 1.49980 0.749902 0.661549i \(-0.230101\pi\)
0.749902 + 0.661549i \(0.230101\pi\)
\(522\) 5.30358e6 + 4.93684e6i 0.851908 + 0.792999i
\(523\) −8.66695e6 −1.38552 −0.692759 0.721170i \(-0.743605\pi\)
−0.692759 + 0.721170i \(0.743605\pi\)
\(524\) 430901. + 207511.i 0.0685566 + 0.0330151i
\(525\) −3506.37 + 4396.85i −0.000555212 + 0.000696214i
\(526\) 2.35627e6 + 2.95467e6i 0.371330 + 0.465634i
\(527\) −2.15357e6 1.03710e6i −0.337779 0.162666i
\(528\) 1.40840e6 678252.i 0.219858 0.105878i
\(529\) −1.54297e6 + 1.93482e6i −0.239728 + 0.300609i
\(530\) 935429. + 4.09838e6i 0.144651 + 0.633757i
\(531\) −2.23539e6 9.79387e6i −0.344046 1.50736i
\(532\) −1939.68 2432.29i −0.000297133 0.000372594i
\(533\) 535168. 2.34473e6i 0.0815966 0.357498i
\(534\) −1.87657e6 −0.284781
\(535\) −1.84490e6 + 8.08302e6i −0.278668 + 1.22093i
\(536\) 1.61184e6 776223.i 0.242332 0.116701i
\(537\) −777905. + 374619.i −0.116410 + 0.0560601i
\(538\) 873999. 3.82924e6i 0.130183 0.570370i
\(539\) −7.27877e6 −1.07916
\(540\) 185915. 814546.i 0.0274365 0.120207i
\(541\) 5.53202e6 + 6.93693e6i 0.812625 + 1.01900i 0.999331 + 0.0365840i \(0.0116477\pi\)
−0.186705 + 0.982416i \(0.559781\pi\)
\(542\) −3.36694e6 1.47515e7i −0.492308 2.15694i
\(543\) 165051. + 723137.i 0.0240226 + 0.105250i
\(544\) 2.95815e6 3.70940e6i 0.428571 0.537411i
\(545\) 5.22408e6 2.51578e6i 0.753388 0.362812i
\(546\) −5397.73 2599.41i −0.000774872 0.000373159i
\(547\) −3.69781e6 4.63691e6i −0.528417 0.662614i 0.443955 0.896049i \(-0.353575\pi\)
−0.972372 + 0.233435i \(0.925003\pi\)
\(548\) −3.75506e6 + 4.70869e6i −0.534152 + 0.669806i
\(549\) 5.44560e6 + 2.62246e6i 0.771107 + 0.371346i
\(550\) −3.72959e6 −0.525719
\(551\) 617486. 92059.4i 0.0866459 0.0129178i
\(552\) −676035. −0.0944325
\(553\) 81867.3 + 39425.2i 0.0113841 + 0.00548228i
\(554\) 7.85365e6 9.84816e6i 1.08717 1.36327i
\(555\) 133188. + 167012.i 0.0183540 + 0.0230152i
\(556\) −5.42377e6 2.61195e6i −0.744071 0.358326i
\(557\) −1.82592e6 + 879318.i −0.249370 + 0.120090i −0.554394 0.832254i \(-0.687050\pi\)
0.305024 + 0.952345i \(0.401336\pi\)
\(558\) 2.43650e6 3.05528e6i 0.331269 0.415399i
\(559\) −275764. 1.20820e6i −0.0373257 0.163535i
\(560\) 19288.5 + 84508.6i 0.00259914 + 0.0113876i
\(561\) −746738. 936380.i −0.100175 0.125616i
\(562\) 3.67090e6 1.60832e7i 0.490265 2.14799i
\(563\) −9.60091e6 −1.27656 −0.638280 0.769804i \(-0.720354\pi\)
−0.638280 + 0.769804i \(0.720354\pi\)
\(564\) 49428.3 216559.i 0.00654301 0.0286668i
\(565\) −9.37901e6 + 4.51669e6i −1.23605 + 0.595250i
\(566\) 8.12555e6 3.91306e6i 1.06613 0.513423i
\(567\) −18660.1 + 81755.4i −0.00243757 + 0.0106797i
\(568\) −4.56727e6 −0.593999
\(569\) −2.02171e6 + 8.85771e6i −0.261782 + 1.14694i 0.657536 + 0.753423i \(0.271599\pi\)
−0.919317 + 0.393517i \(0.871258\pi\)
\(570\) −71302.8 89410.9i −0.00919220 0.0115267i
\(571\) −2.56954e6 1.12579e7i −0.329811 1.44500i −0.819489 0.573094i \(-0.805743\pi\)
0.489678 0.871903i \(-0.337114\pi\)
\(572\) −273619. 1.19880e6i −0.0349668 0.153199i
\(573\) 364330. 456855.i 0.0463562 0.0581289i
\(574\) 117266. 56472.1i 0.0148556 0.00715409i
\(575\) 2.26823e6 + 1.09232e6i 0.286099 + 0.137778i
\(576\) −1.15274e6 1.44549e6i −0.144769 0.181534i
\(577\) 6.67024e6 8.36422e6i 0.834069 1.04589i −0.164161 0.986433i \(-0.552492\pi\)
0.998231 0.0594565i \(-0.0189368\pi\)
\(578\) 2.83503e6 + 1.36528e6i 0.352971 + 0.169982i
\(579\) −538401. −0.0667436
\(580\) 2.67568e6 + 830036.i 0.330267 + 0.102454i
\(581\) −59447.3 −0.00730621
\(582\) 480256. + 231279.i 0.0587713 + 0.0283028i
\(583\) −3.86668e6 + 4.84867e6i −0.471159 + 0.590814i
\(584\) 3.85333e6 + 4.83192e6i 0.467524 + 0.586257i
\(585\) 1.80762e6 + 870502.i 0.218382 + 0.105167i
\(586\) 7.22815e6 3.48089e6i 0.869527 0.418742i
\(587\) −4.13171e6 + 5.18101e6i −0.494920 + 0.620610i −0.965075 0.261974i \(-0.915627\pi\)
0.470155 + 0.882584i \(0.344198\pi\)
\(588\) 151539. + 663935.i 0.0180751 + 0.0791922i
\(589\) −74925.2 328269.i −0.00889897 0.0389889i
\(590\) −7.82484e6 9.81204e6i −0.925434 1.16046i
\(591\) 82332.3 360722.i 0.00969620 0.0424818i
\(592\) −2.23886e6 −0.262557
\(593\) −2.18987e6 + 9.59446e6i −0.255730 + 1.12043i 0.670035 + 0.742329i \(0.266279\pi\)
−0.925765 + 0.378098i \(0.876578\pi\)
\(594\) 3.58824e6 1.72801e6i 0.417269 0.200946i
\(595\) 59835.5 28815.3i 0.00692894 0.00333680i
\(596\) 71705.6 314163.i 0.00826871 0.0362276i
\(597\) −795666. −0.0913682
\(598\) −596789. + 2.61470e6i −0.0682445 + 0.298999i
\(599\) −3.56959e6 4.47613e6i −0.406492 0.509724i 0.535879 0.844295i \(-0.319980\pi\)
−0.942371 + 0.334570i \(0.891409\pi\)
\(600\) −95597.1 418838.i −0.0108409 0.0474972i
\(601\) 543538. + 2.38139e6i 0.0613824 + 0.268934i 0.996301 0.0859274i \(-0.0273853\pi\)
−0.934919 + 0.354861i \(0.884528\pi\)
\(602\) 41815.5 52435.0i 0.00470269 0.00589698i
\(603\) 3.15135e6 1.51761e6i 0.352942 0.169968i
\(604\) −4.45211e6 2.14403e6i −0.496563 0.239132i
\(605\) 714277. + 895675.i 0.0793374 + 0.0994860i
\(606\) −1.48246e6 + 1.85894e6i −0.163983 + 0.205629i
\(607\) 9.26733e6 + 4.46291e6i 1.02090 + 0.491639i 0.867980 0.496600i \(-0.165418\pi\)
0.152919 + 0.988239i \(0.451133\pi\)
\(608\) 668342. 0.0733229
\(609\) 19232.3 + 5966.14i 0.00210130 + 0.000651854i
\(610\) 7.55093e6 0.821629
\(611\) 977491. + 470735.i 0.105928 + 0.0510121i
\(612\) 2.05656e6 2.57885e6i 0.221954 0.278322i
\(613\) 6.29212e6 + 7.89007e6i 0.676310 + 0.848066i 0.995009 0.0997902i \(-0.0318171\pi\)
−0.318698 + 0.947856i \(0.603246\pi\)
\(614\) −491550. 236718.i −0.0526195 0.0253402i
\(615\) 1.33409e6 642466.i 0.142233 0.0684956i
\(616\) −51081.4 + 64054.1i −0.00542389 + 0.00680135i
\(617\) 1.38140e6 + 6.05229e6i 0.146085 + 0.640040i 0.993951 + 0.109828i \(0.0350302\pi\)
−0.847866 + 0.530211i \(0.822113\pi\)
\(618\) 767673. + 3.36339e6i 0.0808546 + 0.354247i
\(619\) −805090. 1.00955e6i −0.0844536 0.105901i 0.737810 0.675009i \(-0.235860\pi\)
−0.822263 + 0.569108i \(0.807289\pi\)
\(620\) 336212. 1.47304e6i 0.0351264 0.153899i
\(621\) −2.68836e6 −0.279743
\(622\) −3.11156e6 + 1.36326e7i −0.322480 + 1.41288i
\(623\) 138310. 66606.7i 0.0142769 0.00687539i
\(624\) 643608. 309945.i 0.0661698 0.0318657i
\(625\) 937503. 4.10747e6i 0.0960003 0.420605i
\(626\) −9.67949e6 −0.987226
\(627\) 37542.0 164482.i 0.00381372 0.0167090i
\(628\) −382333. 479431.i −0.0386850 0.0485095i
\(629\) 381698. + 1.67233e6i 0.0384674 + 0.168537i
\(630\) 24160.7 + 105855.i 0.00242525 + 0.0106257i
\(631\) −3.99658e6 + 5.01155e6i −0.399591 + 0.501071i −0.940398 0.340076i \(-0.889547\pi\)
0.540808 + 0.841146i \(0.318119\pi\)
\(632\) −6.25397e6 + 3.01175e6i −0.622821 + 0.299935i
\(633\) −883977. 425701.i −0.0876862 0.0422275i
\(634\) 1.20766e7 + 1.51436e7i 1.19322 + 1.49625i
\(635\) 2.66600e6 3.34306e6i 0.262377 0.329011i
\(636\) 522775. + 251755.i 0.0512474 + 0.0246794i
\(637\) −3.32623e6 −0.324790
\(638\) 4.85888e6 + 1.24388e7i 0.472590 + 1.20984i
\(639\) −8.92956e6 −0.865123
\(640\) −8.10976e6 3.90545e6i −0.782633 0.376896i
\(641\) 1.03255e7 1.29478e7i 0.992586 1.24466i 0.0230444 0.999734i \(-0.492664\pi\)
0.969541 0.244928i \(-0.0787645\pi\)
\(642\) 2.30545e6 + 2.89094e6i 0.220758 + 0.276822i
\(643\) −4.17580e6 2.01096e6i −0.398301 0.191812i 0.224001 0.974589i \(-0.428088\pi\)
−0.622302 + 0.782777i \(0.713802\pi\)
\(644\) −40470.8 + 19489.7i −0.00384527 + 0.00185178i
\(645\) 475722. 596537.i 0.0450250 0.0564596i
\(646\) −204344. 895291.i −0.0192656 0.0844079i
\(647\) 2.16921e6 + 9.50391e6i 0.203723 + 0.892569i 0.968646 + 0.248446i \(0.0799200\pi\)
−0.764923 + 0.644122i \(0.777223\pi\)
\(648\) −3.99410e6 5.00844e6i −0.373664 0.468560i
\(649\) 4.11990e6 1.80505e7i 0.383950 1.68220i
\(650\) −1.70433e6 −0.158224
\(651\) 2416.63 10587.9i 0.000223490 0.000979172i
\(652\) 490141. 236040.i 0.0451546 0.0217453i
\(653\) −1.25790e7 + 6.05772e6i −1.15442 + 0.555938i −0.910358 0.413822i \(-0.864194\pi\)
−0.244060 + 0.969760i \(0.578479\pi\)
\(654\) 575434. 2.52114e6i 0.0526079 0.230490i
\(655\) −1.43821e6 −0.130985
\(656\) −3.45336e6 + 1.51301e7i −0.313315 + 1.37272i
\(657\) 7.53373e6 + 9.44700e6i 0.680921 + 0.853848i
\(658\) 13065.2 + 57242.3i 0.00117639 + 0.00515409i
\(659\) −4.04940e6 1.77416e7i −0.363226 1.59140i −0.744950 0.667121i \(-0.767526\pi\)
0.381724 0.924277i \(-0.375331\pi\)
\(660\) 472021. 591896.i 0.0421795 0.0528914i
\(661\) 1.23054e7 5.92598e6i 1.09545 0.527542i 0.203226 0.979132i \(-0.434857\pi\)
0.892225 + 0.451590i \(0.149143\pi\)
\(662\) −1.81317e7 8.73175e6i −1.60802 0.774384i
\(663\) −341242. 427903.i −0.0301494 0.0378061i
\(664\) 2.83144e6 3.55051e6i 0.249222 0.312515i
\(665\) 8428.83 + 4059.11i 0.000739117 + 0.000355940i
\(666\) −2.80438e6 −0.244992
\(667\) 688040. 8.98798e6i 0.0598823 0.782254i
\(668\) −9.64877e6 −0.836625
\(669\) 2.25297e6 + 1.08497e6i 0.194621 + 0.0937247i
\(670\) 2.72446e6 3.41637e6i 0.234474 0.294021i
\(671\) 6.94543e6 + 8.70930e6i 0.595515 + 0.746753i
\(672\) 19421.8 + 9353.07i 0.00165908 + 0.000798971i
\(673\) −1.03207e7 + 4.97021e6i −0.878361 + 0.422996i −0.818026 0.575182i \(-0.804931\pi\)
−0.0603354 + 0.998178i \(0.519217\pi\)
\(674\) −127798. + 160253.i −0.0108361 + 0.0135881i
\(675\) −380157. 1.66558e6i −0.0321147 0.140704i
\(676\) 1.05993e6 + 4.64384e6i 0.0892091 + 0.390851i
\(677\) 5.86609e6 + 7.35584e6i 0.491900 + 0.616823i 0.964381 0.264518i \(-0.0852128\pi\)
−0.472481 + 0.881341i \(0.656641\pi\)
\(678\) −1.03310e6 + 4.52631e6i −0.0863114 + 0.378155i
\(679\) −43605.7 −0.00362968
\(680\) −1.12893e6 + 4.94615e6i −0.0936254 + 0.410200i
\(681\) 1.87789e6 904345.i 0.155168 0.0747251i
\(682\) 6.48905e6 3.12496e6i 0.534220 0.257267i
\(683\) 423756. 1.85659e6i 0.0347587 0.152288i −0.954571 0.297985i \(-0.903685\pi\)
0.989329 + 0.145697i \(0.0465426\pi\)
\(684\) 464644. 0.0379735
\(685\) 4.03008e6 1.76569e7i 0.328161 1.43777i
\(686\) −224483. 281493.i −0.0182127 0.0228380i
\(687\) −248462. 1.08859e6i −0.0200849 0.0879975i
\(688\) 1.77946e6 + 7.79633e6i 0.143323 + 0.627941i
\(689\) −1.76698e6 + 2.21573e6i −0.141803 + 0.177815i
\(690\) −1.48771e6 + 716442.i −0.118958 + 0.0572873i
\(691\) 1.23186e6 + 593232.i 0.0981445 + 0.0472639i 0.482312 0.876000i \(-0.339797\pi\)
−0.384167 + 0.923263i \(0.625511\pi\)
\(692\) 4.10731e6 + 5.15040e6i 0.326056 + 0.408861i
\(693\) −99870.4 + 125233.i −0.00789957 + 0.00990575i
\(694\) 9.91384e6 + 4.77426e6i 0.781346 + 0.376276i
\(695\) 1.81029e7 1.42163
\(696\) −1.27235e6 + 864492.i −0.0995599 + 0.0676453i
\(697\) 1.18903e7 0.927064
\(698\) −1.60829e7 7.74510e6i −1.24947 0.601711i
\(699\) 810620. 1.01649e6i 0.0627515 0.0786880i
\(700\) −17797.8 22317.7i −0.00137284 0.00172149i
\(701\) −1.57170e6 756892.i −0.120802 0.0581753i 0.372506 0.928030i \(-0.378498\pi\)
−0.493309 + 0.869854i \(0.664213\pi\)
\(702\) 1.63974e6 789659.i 0.125584 0.0604779i
\(703\) −150656. + 188917.i −0.0114974 + 0.0144172i
\(704\) −758240. 3.32207e6i −0.0576601 0.252625i
\(705\) 148639. + 651228.i 0.0112631 + 0.0493469i
\(706\) 4.21928e6 + 5.29081e6i 0.318586 + 0.399494i
\(707\) 43281.6 189629.i 0.00325653 0.0142678i
\(708\) −1.73225e6 −0.129876
\(709\) 2.97870e6 1.30505e7i 0.222542 0.975018i −0.733015 0.680212i \(-0.761888\pi\)
0.955557 0.294806i \(-0.0952551\pi\)
\(710\) −1.00509e7 + 4.84025e6i −0.748270 + 0.360348i
\(711\) −1.22273e7 + 5.88835e6i −0.907101 + 0.436837i
\(712\) −2.60952e6 + 1.14331e7i −0.192913 + 0.845206i
\(713\) −4.86169e6 −0.358149
\(714\) 6590.90 28876.6i 0.000483837 0.00211983i
\(715\) 2.30547e6 + 2.89097e6i 0.168653 + 0.211485i
\(716\) −975204. 4.27265e6i −0.0710907 0.311469i
\(717\) −813313. 3.56336e6i −0.0590826 0.258858i
\(718\) 1.77984e7 2.23185e7i 1.28846 1.61568i
\(719\) 1.25813e7 6.05882e6i 0.907616 0.437085i 0.0789820 0.996876i \(-0.474833\pi\)
0.828634 + 0.559791i \(0.189119\pi\)
\(720\) −1.16643e7 5.61721e6i −0.838544 0.403822i
\(721\) −175960. 220647.i −0.0126060 0.0158074i
\(722\) −1.04289e7 + 1.30775e7i −0.744556 + 0.933643i
\(723\) 905860. + 436239.i 0.0644489 + 0.0310370i
\(724\) −3.76492e6 −0.266938
\(725\) 5.66581e6 844701.i 0.400329 0.0596840i
\(726\) 510930. 0.0359766
\(727\) −1.74180e7 8.38809e6i −1.22226 0.588609i −0.292319 0.956321i \(-0.594427\pi\)
−0.929940 + 0.367712i \(0.880141\pi\)
\(728\) −23343.0 + 29271.2i −0.00163241 + 0.00204697i
\(729\) −7.23072e6 9.06704e6i −0.503921 0.631897i
\(730\) 1.36005e7 + 6.54966e6i 0.944600 + 0.454895i
\(731\) 5.52012e6 2.65835e6i 0.382081 0.184000i
\(732\) 649822. 814851.i 0.0448246 0.0562083i
\(733\) 340705. + 1.49272e6i 0.0234217 + 0.102617i 0.985288 0.170904i \(-0.0546688\pi\)
−0.961866 + 0.273521i \(0.911812\pi\)
\(734\) −7.41604e6 3.24918e7i −0.508080 2.22604i
\(735\) −1.27685e6 1.60111e6i −0.0871807 0.109321i
\(736\) 2.14734e6 9.40809e6i 0.146119 0.640187i
\(737\) 6.44646e6 0.437172
\(738\) −4.32565e6 + 1.89519e7i −0.292355 + 1.28089i
\(739\) 466055. 224440.i 0.0313925 0.0151178i −0.418122 0.908391i \(-0.637311\pi\)
0.449514 + 0.893273i \(0.351597\pi\)
\(740\) −976905. + 470452.i −0.0655802 + 0.0315818i
\(741\) 17155.8 75164.5i 0.00114780 0.00502884i
\(742\) −153371. −0.0102267
\(743\) 1.54300e6 6.76032e6i 0.102540 0.449257i −0.897427 0.441163i \(-0.854566\pi\)
0.999967 0.00809471i \(-0.00257666\pi\)
\(744\) 517266. + 648631.i 0.0342595 + 0.0429601i
\(745\) 215630. + 944737.i 0.0142337 + 0.0623620i
\(746\) 516407. + 2.26253e6i 0.0339739 + 0.148849i
\(747\) 5.53581e6 6.94168e6i 0.362977 0.455159i
\(748\) 5.47718e6 2.63767e6i 0.357934 0.172372i
\(749\) −272531. 131244.i −0.0177505 0.00854820i
\(750\) −2.27065e6 2.84731e6i −0.147400 0.184834i
\(751\) −1.61995e7 + 2.03135e7i −1.04810 + 1.31427i −0.100452 + 0.994942i \(0.532029\pi\)
−0.947644 + 0.319329i \(0.896543\pi\)
\(752\) −6.30760e6 3.03758e6i −0.406742 0.195877i
\(753\) −2.50595e6 −0.161059
\(754\) 2.22040e6 + 5.68424e6i 0.142234 + 0.364120i
\(755\) 1.48598e7 0.948735
\(756\) 27463.6 + 13225.8i 0.00174764 + 0.000841621i
\(757\) −7.55236e6 + 9.47035e6i −0.479008 + 0.600657i −0.961351 0.275325i \(-0.911214\pi\)
0.482343 + 0.875982i \(0.339786\pi\)
\(758\) −1.76741e6 2.21627e6i −0.111729 0.140104i
\(759\) −2.19476e6 1.05694e6i −0.138287 0.0665957i
\(760\) −643891. + 310082.i −0.0404370 + 0.0194734i
\(761\) 1.48940e6 1.86765e6i 0.0932286 0.116905i −0.733029 0.680197i \(-0.761894\pi\)
0.826258 + 0.563292i \(0.190466\pi\)
\(762\) −424353. 1.85921e6i −0.0264752 0.115995i
\(763\) 47073.4 + 206242.i 0.00292728 + 0.0128253i
\(764\) 1.84928e6 + 2.31892e6i 0.114622 + 0.143732i
\(765\) −2.20719e6 + 9.67033e6i −0.136360 + 0.597431i
\(766\) 2.04073e6 0.125665
\(767\) 1.88270e6 8.24864e6i 0.115556 0.506283i
\(768\) −2.97599e6 + 1.43316e6i −0.182066 + 0.0876783i