Properties

Label 35.6.e.a.16.5
Level $35$
Weight $6$
Character 35.16
Analytic conductor $5.613$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 35 = 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 35.e (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.61343369345\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(6\) over \(\Q(\zeta_{3})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} - \cdots)\)
Defining polynomial: \( x^{12} - x^{11} + 110 x^{10} + 27 x^{9} + 9714 x^{8} - 3257 x^{7} + 240269 x^{6} - 608504 x^{5} + 5067668 x^{4} - 7120352 x^{3} + 9029136 x^{2} - 1794240 x + 313600 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 2^{4} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 16.5
Root \(-3.11366 + 5.39303i\) of defining polynomial
Character \(\chi\) \(=\) 35.16
Dual form 35.6.e.a.11.5

$q$-expansion

\(f(q)\) \(=\) \(q+(3.61366 - 6.25905i) q^{2} +(7.96046 + 13.7879i) q^{3} +(-10.1171 - 17.5234i) q^{4} +(12.5000 - 21.6506i) q^{5} +115.066 q^{6} +(102.346 - 79.5760i) q^{7} +85.0347 q^{8} +(-5.23796 + 9.07242i) q^{9} +O(q^{10})\) \(q+(3.61366 - 6.25905i) q^{2} +(7.96046 + 13.7879i) q^{3} +(-10.1171 - 17.5234i) q^{4} +(12.5000 - 21.6506i) q^{5} +115.066 q^{6} +(102.346 - 79.5760i) q^{7} +85.0347 q^{8} +(-5.23796 + 9.07242i) q^{9} +(-90.3416 - 156.476i) q^{10} +(193.533 + 335.209i) q^{11} +(161.074 - 278.989i) q^{12} -920.823 q^{13} +(-128.227 - 928.148i) q^{14} +398.023 q^{15} +(631.035 - 1092.99i) q^{16} +(-339.236 - 587.575i) q^{17} +(37.8565 + 65.5694i) q^{18} +(-1382.09 + 2393.86i) q^{19} -505.857 q^{20} +(1911.91 + 777.675i) q^{21} +2797.46 q^{22} +(-1032.86 + 1788.97i) q^{23} +(676.916 + 1172.45i) q^{24} +(-312.500 - 541.266i) q^{25} +(-3327.54 + 5763.48i) q^{26} +3702.00 q^{27} +(-2429.89 - 988.365i) q^{28} -2921.75 q^{29} +(1438.32 - 2491.25i) q^{30} +(-2127.53 - 3684.99i) q^{31} +(-3200.15 - 5542.81i) q^{32} +(-3081.23 + 5336.84i) q^{33} -4903.55 q^{34} +(-443.548 - 3210.55i) q^{35} +211.973 q^{36} +(77.3106 - 133.906i) q^{37} +(9988.85 + 17301.2i) q^{38} +(-7330.18 - 12696.2i) q^{39} +(1062.93 - 1841.06i) q^{40} -7600.35 q^{41} +(11776.5 - 9156.47i) q^{42} +13533.2 q^{43} +(3916.01 - 6782.72i) q^{44} +(130.949 + 226.811i) q^{45} +(7464.84 + 12929.5i) q^{46} +(-7501.27 + 12992.6i) q^{47} +20093.3 q^{48} +(4142.32 - 16288.5i) q^{49} -4517.08 q^{50} +(5400.96 - 9354.74i) q^{51} +(9316.09 + 16135.9i) q^{52} +(-9039.43 - 15656.8i) q^{53} +(13377.8 - 23171.0i) q^{54} +9676.66 q^{55} +(8702.94 - 6766.72i) q^{56} -44008.4 q^{57} +(-10558.2 + 18287.4i) q^{58} +(-3239.84 - 5611.57i) q^{59} +(-4026.86 - 6974.72i) q^{60} +(-2003.16 + 3469.58i) q^{61} -30752.7 q^{62} +(185.863 + 1345.34i) q^{63} -5870.74 q^{64} +(-11510.3 + 19936.4i) q^{65} +(22269.1 + 38571.1i) q^{66} +(16810.1 + 29116.0i) q^{67} +(-6864.21 + 11889.2i) q^{68} -32888.3 q^{69} +(-21697.8 - 8825.66i) q^{70} -61404.3 q^{71} +(-445.409 + 771.471i) q^{72} +(21332.2 + 36948.4i) q^{73} +(-558.749 - 967.782i) q^{74} +(4975.29 - 8617.45i) q^{75} +55931.4 q^{76} +(46481.9 + 18906.7i) q^{77} -105955. q^{78} +(53946.3 - 93437.7i) q^{79} +(-15775.9 - 27324.6i) q^{80} +(30742.5 + 53247.5i) q^{81} +(-27465.1 + 47570.9i) q^{82} +99024.8 q^{83} +(-5715.54 - 41371.0i) q^{84} -16961.8 q^{85} +(48904.3 - 84704.8i) q^{86} +(-23258.5 - 40284.8i) q^{87} +(16457.0 + 28504.4i) q^{88} +(-3830.92 + 6635.35i) q^{89} +1892.82 q^{90} +(-94242.3 + 73275.4i) q^{91} +41798.5 q^{92} +(33872.2 - 58668.4i) q^{93} +(54214.2 + 93901.7i) q^{94} +(34552.4 + 59846.4i) q^{95} +(50949.3 - 88246.7i) q^{96} +87087.4 q^{97} +(-86981.8 - 84788.3i) q^{98} -4054.88 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12 q + 5 q^{2} - 20 q^{3} - 31 q^{4} + 150 q^{5} + 192 q^{6} - 20 q^{7} - 270 q^{8} - 378 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 12 q + 5 q^{2} - 20 q^{3} - 31 q^{4} + 150 q^{5} + 192 q^{6} - 20 q^{7} - 270 q^{8} - 378 q^{9} - 125 q^{10} + 924 q^{11} - 370 q^{12} - 300 q^{13} + 3409 q^{14} - 1000 q^{15} - 435 q^{16} - 1540 q^{17} - 195 q^{18} - 92 q^{19} - 1550 q^{20} + 7288 q^{21} - 13710 q^{22} + 3920 q^{23} + 7200 q^{24} - 3750 q^{25} - 2635 q^{26} + 4120 q^{27} - 6015 q^{28} + 2528 q^{29} + 2400 q^{30} + 7160 q^{31} - 9105 q^{32} - 4460 q^{33} + 4332 q^{34} - 2500 q^{35} - 52750 q^{36} + 14170 q^{37} + 46215 q^{38} + 15376 q^{39} - 3375 q^{40} + 8196 q^{41} + 10500 q^{42} - 48920 q^{43} + 27873 q^{44} + 9450 q^{45} - 6815 q^{46} - 42940 q^{47} + 23220 q^{48} - 17856 q^{49} - 6250 q^{50} + 42008 q^{51} + 36115 q^{52} + 2450 q^{53} - 19566 q^{54} + 46200 q^{55} + 67998 q^{56} - 194200 q^{57} + 36110 q^{58} + 64600 q^{59} + 9250 q^{60} - 73620 q^{61} + 222880 q^{62} - 57780 q^{63} - 315994 q^{64} - 3750 q^{65} + 139138 q^{66} + 142620 q^{67} - 124330 q^{68} + 34688 q^{69} + 34475 q^{70} - 308512 q^{71} + 117495 q^{72} + 5120 q^{73} - 2785 q^{74} - 12500 q^{75} + 15550 q^{76} + 44230 q^{77} - 428180 q^{78} + 222504 q^{79} + 10875 q^{80} + 43986 q^{81} - 31665 q^{82} + 359160 q^{83} - 19966 q^{84} - 77000 q^{85} + 207160 q^{86} + 209300 q^{87} + 45145 q^{88} - 41648 q^{89} - 9750 q^{90} - 31376 q^{91} - 584370 q^{92} + 198520 q^{93} + 333699 q^{94} + 2300 q^{95} - 61824 q^{96} - 147960 q^{97} - 101815 q^{98} - 381544 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/35\mathbb{Z}\right)^\times\).

\(n\) \(22\) \(31\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.61366 6.25905i 0.638812 1.10645i −0.346882 0.937909i \(-0.612760\pi\)
0.985694 0.168546i \(-0.0539070\pi\)
\(3\) 7.96046 + 13.7879i 0.510664 + 0.884496i 0.999924 + 0.0123578i \(0.00393371\pi\)
−0.489260 + 0.872138i \(0.662733\pi\)
\(4\) −10.1171 17.5234i −0.316161 0.547606i
\(5\) 12.5000 21.6506i 0.223607 0.387298i
\(6\) 115.066 1.30487
\(7\) 102.346 79.5760i 0.789451 0.613814i
\(8\) 85.0347 0.469755
\(9\) −5.23796 + 9.07242i −0.0215554 + 0.0373351i
\(10\) −90.3416 156.476i −0.285685 0.494821i
\(11\) 193.533 + 335.209i 0.482252 + 0.835285i 0.999792 0.0203741i \(-0.00648571\pi\)
−0.517541 + 0.855659i \(0.673152\pi\)
\(12\) 161.074 278.989i 0.322904 0.559286i
\(13\) −920.823 −1.51118 −0.755592 0.655042i \(-0.772651\pi\)
−0.755592 + 0.655042i \(0.772651\pi\)
\(14\) −128.227 928.148i −0.174847 1.26560i
\(15\) 398.023 0.456752
\(16\) 631.035 1092.99i 0.616246 1.06737i
\(17\) −339.236 587.575i −0.284695 0.493107i 0.687840 0.725862i \(-0.258559\pi\)
−0.972535 + 0.232756i \(0.925226\pi\)
\(18\) 37.8565 + 65.5694i 0.0275397 + 0.0477002i
\(19\) −1382.09 + 2393.86i −0.878322 + 1.52130i −0.0251403 + 0.999684i \(0.508003\pi\)
−0.853182 + 0.521614i \(0.825330\pi\)
\(20\) −505.857 −0.282783
\(21\) 1911.91 + 777.675i 0.946060 + 0.384813i
\(22\) 2797.46 1.23227
\(23\) −1032.86 + 1788.97i −0.407121 + 0.705154i −0.994566 0.104110i \(-0.966801\pi\)
0.587445 + 0.809264i \(0.300134\pi\)
\(24\) 676.916 + 1172.45i 0.239887 + 0.415496i
\(25\) −312.500 541.266i −0.100000 0.173205i
\(26\) −3327.54 + 5763.48i −0.965363 + 1.67206i
\(27\) 3702.00 0.977298
\(28\) −2429.89 988.365i −0.585722 0.238244i
\(29\) −2921.75 −0.645131 −0.322565 0.946547i \(-0.604545\pi\)
−0.322565 + 0.946547i \(0.604545\pi\)
\(30\) 1438.32 2491.25i 0.291778 0.505375i
\(31\) −2127.53 3684.99i −0.397623 0.688703i 0.595809 0.803126i \(-0.296831\pi\)
−0.993432 + 0.114423i \(0.963498\pi\)
\(32\) −3200.15 5542.81i −0.552452 0.956875i
\(33\) −3081.23 + 5336.84i −0.492537 + 0.853099i
\(34\) −4903.55 −0.727467
\(35\) −443.548 3210.55i −0.0612027 0.443006i
\(36\) 211.973 0.0272599
\(37\) 77.3106 133.906i 0.00928399 0.0160803i −0.861346 0.508019i \(-0.830378\pi\)
0.870630 + 0.491938i \(0.163711\pi\)
\(38\) 9988.85 + 17301.2i 1.12216 + 1.94365i
\(39\) −7330.18 12696.2i −0.771708 1.33664i
\(40\) 1062.93 1841.06i 0.105040 0.181935i
\(41\) −7600.35 −0.706112 −0.353056 0.935602i \(-0.614858\pi\)
−0.353056 + 0.935602i \(0.614858\pi\)
\(42\) 11776.5 9156.47i 1.03013 0.800949i
\(43\) 13533.2 1.11616 0.558082 0.829786i \(-0.311537\pi\)
0.558082 + 0.829786i \(0.311537\pi\)
\(44\) 3916.01 6782.72i 0.304938 0.528168i
\(45\) 130.949 + 226.811i 0.00963987 + 0.0166967i
\(46\) 7464.84 + 12929.5i 0.520147 + 0.900921i
\(47\) −7501.27 + 12992.6i −0.495325 + 0.857928i −0.999985 0.00538960i \(-0.998284\pi\)
0.504660 + 0.863318i \(0.331618\pi\)
\(48\) 20093.3 1.25878
\(49\) 4142.32 16288.5i 0.246464 0.969152i
\(50\) −4517.08 −0.255525
\(51\) 5400.96 9354.74i 0.290767 0.503624i
\(52\) 9316.09 + 16135.9i 0.477777 + 0.827535i
\(53\) −9039.43 15656.8i −0.442030 0.765618i 0.555810 0.831309i \(-0.312408\pi\)
−0.997840 + 0.0656911i \(0.979075\pi\)
\(54\) 13377.8 23171.0i 0.624309 1.08134i
\(55\) 9676.66 0.431339
\(56\) 8702.94 6766.72i 0.370848 0.288342i
\(57\) −44008.4 −1.79411
\(58\) −10558.2 + 18287.4i −0.412117 + 0.713808i
\(59\) −3239.84 5611.57i −0.121170 0.209872i 0.799060 0.601252i \(-0.205331\pi\)
−0.920229 + 0.391380i \(0.871998\pi\)
\(60\) −4026.86 6974.72i −0.144407 0.250120i
\(61\) −2003.16 + 3469.58i −0.0689274 + 0.119386i −0.898429 0.439118i \(-0.855291\pi\)
0.829502 + 0.558504i \(0.188624\pi\)
\(62\) −30752.7 −1.01602
\(63\) 185.863 + 1345.34i 0.00589986 + 0.0427052i
\(64\) −5870.74 −0.179161
\(65\) −11510.3 + 19936.4i −0.337911 + 0.585279i
\(66\) 22269.1 + 38571.1i 0.629277 + 1.08994i
\(67\) 16810.1 + 29116.0i 0.457493 + 0.792401i 0.998828 0.0484062i \(-0.0154142\pi\)
−0.541335 + 0.840807i \(0.682081\pi\)
\(68\) −6864.21 + 11889.2i −0.180019 + 0.311802i
\(69\) −32888.3 −0.831608
\(70\) −21697.8 8825.66i −0.529263 0.215279i
\(71\) −61404.3 −1.44562 −0.722808 0.691049i \(-0.757149\pi\)
−0.722808 + 0.691049i \(0.757149\pi\)
\(72\) −445.409 + 771.471i −0.0101258 + 0.0175383i
\(73\) 21332.2 + 36948.4i 0.468520 + 0.811500i 0.999353 0.0359766i \(-0.0114542\pi\)
−0.530833 + 0.847476i \(0.678121\pi\)
\(74\) −558.749 967.782i −0.0118614 0.0205446i
\(75\) 4975.29 8617.45i 0.102133 0.176899i
\(76\) 55931.4 1.11076
\(77\) 46481.9 + 18906.7i 0.893423 + 0.363403i
\(78\) −105955. −1.97190
\(79\) 53946.3 93437.7i 0.972510 1.68444i 0.284590 0.958649i \(-0.408143\pi\)
0.687920 0.725787i \(-0.258524\pi\)
\(80\) −15775.9 27324.6i −0.275593 0.477342i
\(81\) 30742.5 + 53247.5i 0.520626 + 0.901751i
\(82\) −27465.1 + 47570.9i −0.451073 + 0.781281i
\(83\) 99024.8 1.57779 0.788894 0.614529i \(-0.210654\pi\)
0.788894 + 0.614529i \(0.210654\pi\)
\(84\) −5715.54 41371.0i −0.0883810 0.639731i
\(85\) −16961.8 −0.254639
\(86\) 48904.3 84704.8i 0.713019 1.23499i
\(87\) −23258.5 40284.8i −0.329445 0.570615i
\(88\) 16457.0 + 28504.4i 0.226540 + 0.392379i
\(89\) −3830.92 + 6635.35i −0.0512659 + 0.0887951i −0.890520 0.454945i \(-0.849659\pi\)
0.839254 + 0.543740i \(0.182992\pi\)
\(90\) 1892.82 0.0246323
\(91\) −94242.3 + 73275.4i −1.19301 + 0.927587i
\(92\) 41798.5 0.514862
\(93\) 33872.2 58668.4i 0.406103 0.703391i
\(94\) 54214.2 + 93901.7i 0.632839 + 1.09611i
\(95\) 34552.4 + 59846.4i 0.392797 + 0.680345i
\(96\) 50949.3 88246.7i 0.564235 0.977284i
\(97\) 87087.4 0.939779 0.469890 0.882725i \(-0.344294\pi\)
0.469890 + 0.882725i \(0.344294\pi\)
\(98\) −86981.8 84788.3i −0.914878 0.891807i
\(99\) −4054.88 −0.0415805
\(100\) −6323.21 + 10952.1i −0.0632321 + 0.109521i
\(101\) −36378.5 63009.5i −0.354848 0.614614i 0.632244 0.774769i \(-0.282134\pi\)
−0.987092 + 0.160155i \(0.948801\pi\)
\(102\) −39034.5 67609.8i −0.371491 0.643441i
\(103\) −24911.1 + 43147.2i −0.231366 + 0.400738i −0.958210 0.286065i \(-0.907653\pi\)
0.726844 + 0.686802i \(0.240986\pi\)
\(104\) −78301.9 −0.709886
\(105\) 40736.0 31673.1i 0.360583 0.280361i
\(106\) −130662. −1.12950
\(107\) 39654.4 68683.4i 0.334836 0.579953i −0.648617 0.761115i \(-0.724652\pi\)
0.983453 + 0.181162i \(0.0579858\pi\)
\(108\) −37453.7 64871.6i −0.308983 0.535174i
\(109\) 91553.5 + 158575.i 0.738089 + 1.27841i 0.953355 + 0.301852i \(0.0976050\pi\)
−0.215265 + 0.976556i \(0.569062\pi\)
\(110\) 34968.2 60566.7i 0.275544 0.477257i
\(111\) 2461.71 0.0189640
\(112\) −22391.6 162078.i −0.168671 1.22089i
\(113\) 137042. 1.00962 0.504809 0.863231i \(-0.331563\pi\)
0.504809 + 0.863231i \(0.331563\pi\)
\(114\) −159032. + 275451.i −1.14610 + 1.98510i
\(115\) 25821.6 + 44724.3i 0.182070 + 0.315354i
\(116\) 29559.7 + 51199.0i 0.203965 + 0.353278i
\(117\) 4823.24 8354.09i 0.0325742 0.0564202i
\(118\) −46830.8 −0.309618
\(119\) −81476.3 33140.7i −0.527429 0.214533i
\(120\) 33845.8 0.214561
\(121\) 5615.28 9725.95i 0.0348665 0.0603905i
\(122\) 14477.5 + 25075.8i 0.0880632 + 0.152530i
\(123\) −60502.3 104793.i −0.360586 0.624553i
\(124\) −43049.0 + 74563.1i −0.251425 + 0.435482i
\(125\) −15625.0 −0.0894427
\(126\) 9092.20 + 3698.28i 0.0510203 + 0.0207527i
\(127\) −43001.7 −0.236579 −0.118290 0.992979i \(-0.537741\pi\)
−0.118290 + 0.992979i \(0.537741\pi\)
\(128\) 81189.8 140625.i 0.438002 0.758642i
\(129\) 107730. + 186594.i 0.569985 + 0.987243i
\(130\) 83188.6 + 144087.i 0.431723 + 0.747767i
\(131\) 10602.9 18364.7i 0.0539815 0.0934988i −0.837772 0.546020i \(-0.816142\pi\)
0.891753 + 0.452522i \(0.149475\pi\)
\(132\) 124693. 0.622884
\(133\) 49042.0 + 354983.i 0.240403 + 1.74012i
\(134\) 242985. 1.16901
\(135\) 46275.0 80150.6i 0.218530 0.378506i
\(136\) −28846.9 49964.2i −0.133737 0.231639i
\(137\) −142598. 246988.i −0.649102 1.12428i −0.983338 0.181788i \(-0.941811\pi\)
0.334235 0.942490i \(-0.391522\pi\)
\(138\) −118847. + 205849.i −0.531241 + 0.920136i
\(139\) −282350. −1.23951 −0.619756 0.784794i \(-0.712769\pi\)
−0.619756 + 0.784794i \(0.712769\pi\)
\(140\) −51772.4 + 40254.1i −0.223243 + 0.173576i
\(141\) −238855. −1.01178
\(142\) −221895. + 384333.i −0.923476 + 1.59951i
\(143\) −178210. 308668.i −0.728772 1.26227i
\(144\) 6610.68 + 11450.0i 0.0265669 + 0.0460151i
\(145\) −36521.8 + 63257.7i −0.144256 + 0.249858i
\(146\) 308349. 1.19718
\(147\) 257560. 72550.2i 0.983071 0.276914i
\(148\) −3128.65 −0.0117409
\(149\) −34718.1 + 60133.4i −0.128112 + 0.221896i −0.922945 0.384932i \(-0.874225\pi\)
0.794833 + 0.606828i \(0.207558\pi\)
\(150\) −35958.1 62281.2i −0.130487 0.226011i
\(151\) −129489. 224281.i −0.462157 0.800480i 0.536911 0.843639i \(-0.319591\pi\)
−0.999068 + 0.0431588i \(0.986258\pi\)
\(152\) −117526. + 203561.i −0.412596 + 0.714637i
\(153\) 7107.63 0.0245469
\(154\) 286308. 222610.i 0.972818 0.756386i
\(155\) −106376. −0.355645
\(156\) −148321. + 256899.i −0.487967 + 0.845184i
\(157\) 51497.3 + 89196.0i 0.166738 + 0.288799i 0.937271 0.348601i \(-0.113343\pi\)
−0.770533 + 0.637400i \(0.780010\pi\)
\(158\) −389888. 675305.i −1.24250 2.15207i
\(159\) 143916. 249270.i 0.451457 0.781947i
\(160\) −160007. −0.494128
\(161\) 36650.0 + 265285.i 0.111432 + 0.806581i
\(162\) 444372. 1.33033
\(163\) 290712. 503528.i 0.857026 1.48441i −0.0177258 0.999843i \(-0.505643\pi\)
0.874752 0.484570i \(-0.161024\pi\)
\(164\) 76893.8 + 133184.i 0.223245 + 0.386672i
\(165\) 77030.7 + 133421.i 0.220269 + 0.381518i
\(166\) 357842. 619801.i 1.00791 1.74575i
\(167\) −475920. −1.32051 −0.660257 0.751040i \(-0.729553\pi\)
−0.660257 + 0.751040i \(0.729553\pi\)
\(168\) 162579. + 66129.3i 0.444416 + 0.180768i
\(169\) 476621. 1.28368
\(170\) −61294.3 + 106165.i −0.162666 + 0.281747i
\(171\) −14478.7 25077.9i −0.0378652 0.0655844i
\(172\) −136917. 237147.i −0.352887 0.611219i
\(173\) −142829. + 247387.i −0.362828 + 0.628437i −0.988425 0.151709i \(-0.951522\pi\)
0.625597 + 0.780147i \(0.284856\pi\)
\(174\) −336193. −0.841813
\(175\) −75054.8 30528.8i −0.185261 0.0753554i
\(176\) 488505. 1.18874
\(177\) 51581.3 89341.5i 0.123754 0.214348i
\(178\) 27687.3 + 47955.9i 0.0654985 + 0.113447i
\(179\) 225446. + 390484.i 0.525909 + 0.910901i 0.999544 + 0.0301799i \(0.00960801\pi\)
−0.473636 + 0.880721i \(0.657059\pi\)
\(180\) 2649.66 4589.35i 0.00609550 0.0105577i
\(181\) 151606. 0.343969 0.171985 0.985100i \(-0.444982\pi\)
0.171985 + 0.985100i \(0.444982\pi\)
\(182\) 118074. + 854660.i 0.264226 + 1.91256i
\(183\) −63784.4 −0.140795
\(184\) −87829.2 + 152125.i −0.191247 + 0.331249i
\(185\) −1932.76 3347.65i −0.00415193 0.00719135i
\(186\) −244806. 424016.i −0.518847 0.898669i
\(187\) 131307. 227430.i 0.274590 0.475603i
\(188\) 303566. 0.626409
\(189\) 378884. 294590.i 0.771528 0.599879i
\(190\) 499443. 1.00369
\(191\) −257493. + 445991.i −0.510719 + 0.884592i 0.489204 + 0.872170i \(0.337288\pi\)
−0.999923 + 0.0124221i \(0.996046\pi\)
\(192\) −46733.8 80945.4i −0.0914910 0.158467i
\(193\) 384984. + 666811.i 0.743959 + 1.28858i 0.950679 + 0.310175i \(0.100388\pi\)
−0.206720 + 0.978400i \(0.566279\pi\)
\(194\) 314705. 545084.i 0.600342 1.03982i
\(195\) −366509. −0.690236
\(196\) −327339. + 92205.8i −0.608636 + 0.171442i
\(197\) −246901. −0.453269 −0.226635 0.973980i \(-0.572772\pi\)
−0.226635 + 0.973980i \(0.572772\pi\)
\(198\) −14653.0 + 25379.7i −0.0265621 + 0.0460070i
\(199\) −445320. 771316.i −0.797148 1.38070i −0.921466 0.388459i \(-0.873007\pi\)
0.124318 0.992242i \(-0.460326\pi\)
\(200\) −26573.3 46026.4i −0.0469755 0.0813639i
\(201\) −267633. + 463554.i −0.467250 + 0.809301i
\(202\) −525839. −0.906723
\(203\) −299029. + 232501.i −0.509299 + 0.395990i
\(204\) −218569. −0.367717
\(205\) −95004.3 + 164552.i −0.157891 + 0.273476i
\(206\) 180041. + 311839.i 0.295599 + 0.511992i
\(207\) −10820.2 18741.1i −0.0175513 0.0303998i
\(208\) −581072. + 1.00645e6i −0.931261 + 1.61299i
\(209\) −1.06992e6 −1.69429
\(210\) −51037.2 369425.i −0.0798617 0.578066i
\(211\) −538746. −0.833063 −0.416531 0.909121i \(-0.636754\pi\)
−0.416531 + 0.909121i \(0.636754\pi\)
\(212\) −182906. + 316803.i −0.279505 + 0.484117i
\(213\) −488807. 846638.i −0.738224 1.27864i
\(214\) −286595. 496398.i −0.427794 0.740961i
\(215\) 169165. 293002.i 0.249582 0.432289i
\(216\) 314798. 0.459090
\(217\) −510980. 207843.i −0.736639 0.299630i
\(218\) 1.32338e6 1.88600
\(219\) −339628. + 588253.i −0.478512 + 0.828808i
\(220\) −97900.2 169568.i −0.136372 0.236204i
\(221\) 312377. + 541052.i 0.430227 + 0.745175i
\(222\) 8895.80 15408.0i 0.0121144 0.0209828i
\(223\) 1.34117e6 1.80602 0.903011 0.429618i \(-0.141352\pi\)
0.903011 + 0.429618i \(0.141352\pi\)
\(224\) −768596. 312629.i −1.02348 0.416303i
\(225\) 6547.46 0.00862216
\(226\) 495223. 857752.i 0.644956 1.11710i
\(227\) 290513. + 503183.i 0.374197 + 0.648128i 0.990207 0.139610i \(-0.0445850\pi\)
−0.616009 + 0.787739i \(0.711252\pi\)
\(228\) 445240. + 771178.i 0.567227 + 0.982466i
\(229\) 499309. 864828.i 0.629188 1.08979i −0.358527 0.933519i \(-0.616721\pi\)
0.987715 0.156266i \(-0.0499459\pi\)
\(230\) 373242. 0.465234
\(231\) 109334. + 791395.i 0.134811 + 0.975806i
\(232\) −248450. −0.303053
\(233\) −689895. + 1.19493e6i −0.832517 + 1.44196i 0.0635191 + 0.997981i \(0.479768\pi\)
−0.896036 + 0.443981i \(0.853566\pi\)
\(234\) −34859.1 60377.8i −0.0416176 0.0720838i
\(235\) 187532. + 324815.i 0.221516 + 0.383677i
\(236\) −65555.9 + 113546.i −0.0766182 + 0.132707i
\(237\) 1.71775e6 1.98650
\(238\) −501857. + 390205.i −0.574299 + 0.446529i
\(239\) 508394. 0.575713 0.287856 0.957674i \(-0.407057\pi\)
0.287856 + 0.957674i \(0.407057\pi\)
\(240\) 251167. 435034.i 0.281471 0.487522i
\(241\) −92935.4 160969.i −0.103072 0.178525i 0.809877 0.586600i \(-0.199534\pi\)
−0.912949 + 0.408074i \(0.866200\pi\)
\(242\) −40583.5 70292.6i −0.0445462 0.0771563i
\(243\) −39655.5 + 68685.3i −0.0430812 + 0.0746188i
\(244\) 81065.1 0.0871685
\(245\) −300878. 293291.i −0.320240 0.312164i
\(246\) −874540. −0.921386
\(247\) 1.27266e6 2.20432e6i 1.32731 2.29896i
\(248\) −180914. 313352.i −0.186785 0.323521i
\(249\) 788284. + 1.36535e6i 0.805720 + 1.39555i
\(250\) −56463.5 + 97797.7i −0.0571371 + 0.0989643i
\(251\) −421837. −0.422630 −0.211315 0.977418i \(-0.567775\pi\)
−0.211315 + 0.977418i \(0.567775\pi\)
\(252\) 21694.5 16868.0i 0.0215203 0.0167325i
\(253\) −799573. −0.785339
\(254\) −155394. + 269150.i −0.151130 + 0.261764i
\(255\) −135024. 233868.i −0.130035 0.225227i
\(256\) −680717. 1.17904e6i −0.649182 1.12442i
\(257\) 973360. 1.68591e6i 0.919265 1.59221i 0.118731 0.992926i \(-0.462117\pi\)
0.800534 0.599287i \(-0.204549\pi\)
\(258\) 1.55720e6 1.45645
\(259\) −2743.28 19856.8i −0.00254109 0.0183933i
\(260\) 465805. 0.427337
\(261\) 15304.0 26507.3i 0.0139061 0.0240860i
\(262\) −76630.4 132728.i −0.0689681 0.119456i
\(263\) −815156. 1.41189e6i −0.726693 1.25867i −0.958273 0.285854i \(-0.907723\pi\)
0.231580 0.972816i \(-0.425611\pi\)
\(264\) −262011. + 453817.i −0.231372 + 0.400748i
\(265\) −451972. −0.395363
\(266\) 2.39908e6 + 975832.i 2.07893 + 0.845612i
\(267\) −121984. −0.104719
\(268\) 340141. 589142.i 0.289283 0.501052i
\(269\) −685723. 1.18771e6i −0.577788 1.00076i −0.995733 0.0922852i \(-0.970583\pi\)
0.417945 0.908472i \(-0.362750\pi\)
\(270\) −334445. 579275.i −0.279200 0.483588i
\(271\) 380868. 659683.i 0.315030 0.545648i −0.664414 0.747365i \(-0.731319\pi\)
0.979444 + 0.201717i \(0.0646521\pi\)
\(272\) −856281. −0.701769
\(273\) −1.76053e6 716100.i −1.42967 0.581524i
\(274\) −2.06121e6 −1.65862
\(275\) 120958. 209506.i 0.0964504 0.167057i
\(276\) 332735. + 576315.i 0.262922 + 0.455394i
\(277\) 1.03437e6 + 1.79159e6i 0.809987 + 1.40294i 0.912872 + 0.408246i \(0.133859\pi\)
−0.102885 + 0.994693i \(0.532807\pi\)
\(278\) −1.02032e6 + 1.76724e6i −0.791815 + 1.37146i
\(279\) 44575.7 0.0342837
\(280\) −37717.0 273008.i −0.0287503 0.208104i
\(281\) 431842. 0.326257 0.163128 0.986605i \(-0.447842\pi\)
0.163128 + 0.986605i \(0.447842\pi\)
\(282\) −863140. + 1.49500e6i −0.646336 + 1.11949i
\(283\) 716735. + 1.24142e6i 0.531977 + 0.921411i 0.999303 + 0.0373260i \(0.0118840\pi\)
−0.467326 + 0.884085i \(0.654783\pi\)
\(284\) 621236. + 1.07601e6i 0.457047 + 0.791629i
\(285\) −550106. + 952811.i −0.401175 + 0.694856i
\(286\) −2.57596e6 −1.86219
\(287\) −777863. + 604805.i −0.557441 + 0.433422i
\(288\) 67049.0 0.0476333
\(289\) 479766. 830979.i 0.337897 0.585255i
\(290\) 263955. + 457184.i 0.184304 + 0.319224i
\(291\) 693256. + 1.20075e6i 0.479912 + 0.831231i
\(292\) 431641. 747624.i 0.296255 0.513129i
\(293\) −138921. −0.0945363 −0.0472682 0.998882i \(-0.515052\pi\)
−0.0472682 + 0.998882i \(0.515052\pi\)
\(294\) 476640. 1.87425e6i 0.321604 1.26462i
\(295\) −161992. −0.108377
\(296\) 6574.08 11386.6i 0.00436120 0.00755382i
\(297\) 716460. + 1.24094e6i 0.471304 + 0.816322i
\(298\) 250919. + 434604.i 0.163679 + 0.283500i
\(299\) 951084. 1.64733e6i 0.615235 1.06562i
\(300\) −201343. −0.129162
\(301\) 1.38506e6 1.07692e6i 0.881157 0.685118i
\(302\) −1.87172e6 −1.18093
\(303\) 579180. 1.00317e6i 0.362416 0.627723i
\(304\) 1.74430e6 + 3.02122e6i 1.08252 + 1.87499i
\(305\) 50079.1 + 86739.5i 0.0308252 + 0.0533909i
\(306\) 25684.6 44487.0i 0.0156808 0.0271600i
\(307\) −631297. −0.382285 −0.191143 0.981562i \(-0.561219\pi\)
−0.191143 + 0.981562i \(0.561219\pi\)
\(308\) −138955. 1.00580e6i −0.0834637 0.604138i
\(309\) −793215. −0.472601
\(310\) −384409. + 665816.i −0.227190 + 0.393505i
\(311\) 1.10222e6 + 1.90910e6i 0.646199 + 1.11925i 0.984023 + 0.178040i \(0.0569758\pi\)
−0.337824 + 0.941209i \(0.609691\pi\)
\(312\) −623319. 1.07962e6i −0.362513 0.627892i
\(313\) −220967. + 382726.i −0.127487 + 0.220814i −0.922702 0.385513i \(-0.874025\pi\)
0.795215 + 0.606327i \(0.207358\pi\)
\(314\) 744376. 0.426058
\(315\) 31450.8 + 12792.7i 0.0178589 + 0.00726417i
\(316\) −2.18313e6 −1.22988
\(317\) −665658. + 1.15295e6i −0.372052 + 0.644412i −0.989881 0.141900i \(-0.954679\pi\)
0.617829 + 0.786312i \(0.288012\pi\)
\(318\) −1.04013e6 1.80156e6i −0.576793 0.999034i
\(319\) −565455. 979397.i −0.311115 0.538868i
\(320\) −73384.3 + 127105.i −0.0400616 + 0.0693887i
\(321\) 1.26267e6 0.683954
\(322\) 1.79287e6 + 729256.i 0.963628 + 0.391959i
\(323\) 1.87543e6 1.00022
\(324\) 622052. 1.07742e6i 0.329203 0.570196i
\(325\) 287757. + 498410.i 0.151118 + 0.261745i
\(326\) −2.10107e6 3.63916e6i −1.09496 1.89652i
\(327\) −1.45762e6 + 2.52467e6i −0.753831 + 1.30567i
\(328\) −646293. −0.331700
\(329\) 266174. + 1.92666e6i 0.135574 + 0.981330i
\(330\) 1.11345e6 0.562843
\(331\) −751401. + 1.30146e6i −0.376966 + 0.652924i −0.990619 0.136652i \(-0.956366\pi\)
0.613653 + 0.789575i \(0.289699\pi\)
\(332\) −1.00185e6 1.73525e6i −0.498835 0.864007i
\(333\) 809.900 + 1402.79i 0.000400240 + 0.000693237i
\(334\) −1.71982e6 + 2.97881e6i −0.843559 + 1.46109i
\(335\) 840507. 0.409194
\(336\) 2.05647e6 1.59895e6i 0.993743 0.772656i
\(337\) −2.34434e6 −1.12447 −0.562233 0.826979i \(-0.690058\pi\)
−0.562233 + 0.826979i \(0.690058\pi\)
\(338\) 1.72235e6 2.98320e6i 0.820030 1.42033i
\(339\) 1.09092e6 + 1.88952e6i 0.515576 + 0.893003i
\(340\) 171605. + 297229.i 0.0805069 + 0.139442i
\(341\) 823495. 1.42634e6i 0.383509 0.664256i
\(342\) −209285. −0.0967549
\(343\) −872227. 1.99669e6i −0.400308 0.916381i
\(344\) 1.15079e6 0.524324
\(345\) −411104. + 712052.i −0.185953 + 0.322080i
\(346\) 1.03227e6 + 1.78795e6i 0.463558 + 0.802906i
\(347\) −139967. 242431.i −0.0624026 0.108085i 0.833136 0.553068i \(-0.186543\pi\)
−0.895539 + 0.444983i \(0.853210\pi\)
\(348\) −470618. + 815135.i −0.208315 + 0.360812i
\(349\) 1.16659e6 0.512691 0.256346 0.966585i \(-0.417481\pi\)
0.256346 + 0.966585i \(0.417481\pi\)
\(350\) −462304. + 359451.i −0.201724 + 0.156845i
\(351\) −3.40888e6 −1.47688
\(352\) 1.23867e6 2.14544e6i 0.532842 0.922910i
\(353\) −777216. 1.34618e6i −0.331975 0.574997i 0.650924 0.759143i \(-0.274382\pi\)
−0.982899 + 0.184146i \(0.941048\pi\)
\(354\) −372795. 645700.i −0.158111 0.273856i
\(355\) −767554. + 1.32944e6i −0.323250 + 0.559885i
\(356\) 155032. 0.0648330
\(357\) −191647. 1.38720e6i −0.0795850 0.576063i
\(358\) 3.25875e6 1.34383
\(359\) −428247. + 741746.i −0.175371 + 0.303752i −0.940290 0.340375i \(-0.889446\pi\)
0.764918 + 0.644127i \(0.222779\pi\)
\(360\) 11135.2 + 19286.8i 0.00452838 + 0.00784338i
\(361\) −2.58232e6 4.47271e6i −1.04290 1.80635i
\(362\) 547853. 948909.i 0.219732 0.380586i
\(363\) 178801. 0.0712202
\(364\) 2.23750e6 + 910109.i 0.885134 + 0.360031i
\(365\) 1.06661e6 0.419057
\(366\) −230495. + 399230.i −0.0899414 + 0.155783i
\(367\) 454636. + 787452.i 0.176197 + 0.305182i 0.940575 0.339586i \(-0.110287\pi\)
−0.764378 + 0.644769i \(0.776954\pi\)
\(368\) 1.30355e6 + 2.25781e6i 0.501773 + 0.869096i
\(369\) 39810.3 68953.5i 0.0152205 0.0263627i
\(370\) −27937.5 −0.0106092
\(371\) −2.17105e6 883082.i −0.818908 0.333093i
\(372\) −1.37076e6 −0.513576
\(373\) 66917.7 115905.i 0.0249040 0.0431350i −0.853305 0.521412i \(-0.825405\pi\)
0.878209 + 0.478277i \(0.158739\pi\)
\(374\) −948999. 1.64371e6i −0.350822 0.607642i
\(375\) −124382. 215436.i −0.0456752 0.0791117i
\(376\) −637869. + 1.10482e6i −0.232681 + 0.403016i
\(377\) 2.69041e6 0.974912
\(378\) −474695. 3.43600e6i −0.170878 1.23687i
\(379\) 1.07715e6 0.385192 0.192596 0.981278i \(-0.438309\pi\)
0.192596 + 0.981278i \(0.438309\pi\)
\(380\) 699142. 1.21095e6i 0.248374 0.430197i
\(381\) −342314. 592904.i −0.120812 0.209253i
\(382\) 1.86099e6 + 3.22333e6i 0.652507 + 1.13018i
\(383\) −230542. + 399310.i −0.0803069 + 0.139096i −0.903382 0.428837i \(-0.858923\pi\)
0.823075 + 0.567933i \(0.192257\pi\)
\(384\) 2.58523e6 0.894688
\(385\) 990366. 770030.i 0.340521 0.264762i
\(386\) 5.56481e6 1.90100
\(387\) −70886.3 + 122779.i −0.0240594 + 0.0416721i
\(388\) −881076. 1.52607e6i −0.297121 0.514629i
\(389\) −117587. 203667.i −0.0393992 0.0682413i 0.845653 0.533732i \(-0.179211\pi\)
−0.885053 + 0.465491i \(0.845878\pi\)
\(390\) −1.32444e6 + 2.29400e6i −0.440931 + 0.763715i
\(391\) 1.40154e6 0.463621
\(392\) 352241. 1.38509e6i 0.115778 0.455264i
\(393\) 337615. 0.110266
\(394\) −892216. + 1.54536e6i −0.289554 + 0.501522i
\(395\) −1.34866e6 2.33594e6i −0.434920 0.753303i
\(396\) 41023.8 + 71055.3i 0.0131461 + 0.0227698i
\(397\) 1.80489e6 3.12616e6i 0.574744 0.995485i −0.421326 0.906909i \(-0.638435\pi\)
0.996069 0.0885758i \(-0.0282316\pi\)
\(398\) −6.43694e6 −2.03691
\(399\) −4.50408e6 + 3.50202e6i −1.41636 + 1.10125i
\(400\) −788794. −0.246498
\(401\) −2.39032e6 + 4.14016e6i −0.742327 + 1.28575i 0.209106 + 0.977893i \(0.432945\pi\)
−0.951433 + 0.307855i \(0.900389\pi\)
\(402\) 1.93427e6 + 3.35026e6i 0.596970 + 1.03398i
\(403\) 1.95908e6 + 3.39322e6i 0.600882 + 1.04076i
\(404\) −736094. + 1.27495e6i −0.224378 + 0.388634i
\(405\) 1.53712e6 0.465662
\(406\) 374646. + 2.71182e6i 0.112799 + 0.816479i
\(407\) 59848.7 0.0179089
\(408\) 459269. 795477.i 0.136589 0.236580i
\(409\) −166239. 287935.i −0.0491389 0.0851110i 0.840410 0.541951i \(-0.182314\pi\)
−0.889549 + 0.456840i \(0.848981\pi\)
\(410\) 686627. + 1.18927e6i 0.201726 + 0.349399i
\(411\) 2.27030e6 3.93227e6i 0.662946 1.14826i
\(412\) 1.00812e6 0.292595
\(413\) −778131. 316507.i −0.224480 0.0913079i
\(414\) −156402. −0.0448479
\(415\) 1.23781e6 2.14395e6i 0.352804 0.611075i
\(416\) 2.94677e6 + 5.10395e6i 0.834858 + 1.44602i
\(417\) −2.24764e6 3.89302e6i −0.632975 1.09634i
\(418\) −3.86635e6 + 6.69671e6i −1.08233 + 1.87465i
\(419\) −3.01019e6 −0.837643 −0.418822 0.908068i \(-0.637557\pi\)
−0.418822 + 0.908068i \(0.637557\pi\)
\(420\) −967152. 393392.i −0.267529 0.108818i
\(421\) −2.57143e6 −0.707083 −0.353541 0.935419i \(-0.615023\pi\)
−0.353541 + 0.935419i \(0.615023\pi\)
\(422\) −1.94685e6 + 3.37204e6i −0.532170 + 0.921746i
\(423\) −78582.8 136109.i −0.0213539 0.0369860i
\(424\) −768666. 1.33137e6i −0.207646 0.359653i
\(425\) −212023. + 367234.i −0.0569390 + 0.0986213i
\(426\) −7.06554e6 −1.88634
\(427\) 71079.9 + 514500.i 0.0188659 + 0.136558i
\(428\) −1.60476e6 −0.423448
\(429\) 2.83727e6 4.91429e6i 0.744315 1.28919i
\(430\) −1.22261e6 2.11762e6i −0.318872 0.552302i
\(431\) 2.88458e6 + 4.99623e6i 0.747978 + 1.29554i 0.948790 + 0.315907i \(0.102309\pi\)
−0.200812 + 0.979630i \(0.564358\pi\)
\(432\) 2.33609e6 4.04623e6i 0.602255 1.04314i
\(433\) −1.93748e6 −0.496611 −0.248306 0.968682i \(-0.579874\pi\)
−0.248306 + 0.968682i \(0.579874\pi\)
\(434\) −3.14741e6 + 2.44718e6i −0.802101 + 0.623650i
\(435\) −1.16292e6 −0.294665
\(436\) 1.85252e6 3.20866e6i 0.466710 0.808365i
\(437\) −2.85503e6 4.94505e6i −0.715166 1.23870i
\(438\) 2.45460e6 + 4.25150e6i 0.611358 + 1.05890i
\(439\) −2.24013e6 + 3.88002e6i −0.554769 + 0.960889i 0.443152 + 0.896446i \(0.353860\pi\)
−0.997921 + 0.0644421i \(0.979473\pi\)
\(440\) 822852. 0.202624
\(441\) 126079. + 122900.i 0.0308707 + 0.0300922i
\(442\) 4.51530e6 1.09934
\(443\) −1.31381e6 + 2.27558e6i −0.318069 + 0.550912i −0.980085 0.198577i \(-0.936368\pi\)
0.662016 + 0.749490i \(0.269701\pi\)
\(444\) −24905.5 43137.6i −0.00599567 0.0103848i
\(445\) 95773.1 + 165884.i 0.0229268 + 0.0397104i
\(446\) 4.84655e6 8.39447e6i 1.15371 1.99828i
\(447\) −1.10549e6 −0.261689
\(448\) −600846. + 467170.i −0.141439 + 0.109971i
\(449\) −6.11083e6 −1.43049 −0.715244 0.698875i \(-0.753684\pi\)
−0.715244 + 0.698875i \(0.753684\pi\)
\(450\) 23660.3 40980.9i 0.00550794 0.00954003i
\(451\) −1.47092e6 2.54771e6i −0.340524 0.589805i
\(452\) −1.38647e6 2.40144e6i −0.319202 0.552873i
\(453\) 2.06158e6 3.57077e6i 0.472014 0.817553i
\(454\) 4.19926e6 0.956166
\(455\) 408429. + 2.95635e6i 0.0924886 + 0.669464i
\(456\) −3.74224e6 −0.842791
\(457\) −1.96802e6 + 3.40871e6i −0.440797 + 0.763483i −0.997749 0.0670616i \(-0.978638\pi\)
0.556951 + 0.830545i \(0.311971\pi\)
\(458\) −3.60867e6 6.25040e6i −0.803866 1.39234i
\(459\) −1.25585e6 2.17520e6i −0.278232 0.481912i
\(460\) 522481. 904964.i 0.115127 0.199405i
\(461\) 3.61769e6 0.792827 0.396414 0.918072i \(-0.370255\pi\)
0.396414 + 0.918072i \(0.370255\pi\)
\(462\) 5.34848e6 + 2.17551e6i 1.16580 + 0.474194i
\(463\) 6.68308e6 1.44885 0.724426 0.689352i \(-0.242105\pi\)
0.724426 + 0.689352i \(0.242105\pi\)
\(464\) −1.84373e6 + 3.19343e6i −0.397559 + 0.688592i
\(465\) −846806. 1.46671e6i −0.181615 0.314566i
\(466\) 4.98610e6 + 8.63617e6i 1.06364 + 1.84228i
\(467\) 1.18415e6 2.05101e6i 0.251255 0.435187i −0.712617 0.701554i \(-0.752490\pi\)
0.963872 + 0.266367i \(0.0858234\pi\)
\(468\) −195189. −0.0411947
\(469\) 4.03738e6 + 1.64222e6i 0.847555 + 0.344746i
\(470\) 2.71071e6 0.566028
\(471\) −819885. + 1.42008e6i −0.170295 + 0.294959i
\(472\) −275499. 477178.i −0.0569200 0.0985884i
\(473\) 2.61912e6 + 4.53644e6i 0.538272 + 0.932315i
\(474\) 6.20737e6 1.07515e7i 1.26900 2.19797i
\(475\) 1.72762e6 0.351329
\(476\) 243569. + 1.76303e6i 0.0492724 + 0.356650i
\(477\) 189393. 0.0381125
\(478\) 1.83717e6 3.18207e6i 0.367772 0.637000i
\(479\) 1.13488e6 + 1.96567e6i 0.226002 + 0.391447i 0.956620 0.291340i \(-0.0941012\pi\)
−0.730618 + 0.682787i \(0.760768\pi\)
\(480\) −1.27373e6 2.20617e6i −0.252334 0.437055i
\(481\) −71189.3 + 123304.i −0.0140298 + 0.0243004i
\(482\) −1.34335e6 −0.263373
\(483\) −3.36598e6 + 2.61712e6i −0.656513 + 0.510453i
\(484\) −227242. −0.0440936
\(485\) 1.08859e6 1.88550e6i 0.210141 0.363975i
\(486\) 286603. + 496412.i 0.0550415 + 0.0953347i
\(487\) 845017. + 1.46361e6i 0.161452 + 0.279643i 0.935390 0.353619i \(-0.115049\pi\)
−0.773938 + 0.633262i \(0.781716\pi\)
\(488\) −170338. + 295035.i −0.0323790 + 0.0560820i
\(489\) 9.25681e6 1.75061
\(490\) −2.92299e6 + 823357.i −0.549968 + 0.154917i
\(491\) 3.12583e6 0.585143 0.292572 0.956244i \(-0.405489\pi\)
0.292572 + 0.956244i \(0.405489\pi\)
\(492\) −1.22422e6 + 2.12041e6i −0.228006 + 0.394918i
\(493\) 991163. + 1.71675e6i 0.183666 + 0.318118i
\(494\) −9.19796e6 1.59313e7i −1.69580 2.93721i
\(495\) −50686.0 + 87790.7i −0.00929769 + 0.0161041i
\(496\) −5.37018e6 −0.980133
\(497\) −6.28447e6 + 4.88631e6i −1.14124 + 0.887340i
\(498\) 1.13944e7 2.05881
\(499\) 4.70340e6 8.14652e6i 0.845591 1.46461i −0.0395159 0.999219i \(-0.512582\pi\)
0.885107 0.465388i \(-0.154085\pi\)
\(500\) 158080. + 273803.i 0.0282783 + 0.0489794i
\(501\) −3.78854e6 6.56195e6i −0.674339 1.16799i
\(502\) −1.52438e6 + 2.64030e6i −0.269981 + 0.467620i
\(503\) 7.23245e6 1.27458 0.637288 0.770626i \(-0.280056\pi\)
0.637288 + 0.770626i \(0.280056\pi\)
\(504\) 15804.8 + 114401.i 0.00277149 + 0.0200610i
\(505\) −1.81893e6 −0.317385
\(506\) −2.88939e6 + 5.00457e6i −0.501684 + 0.868941i
\(507\) 3.79413e6 + 6.57162e6i 0.655529 + 1.13541i
\(508\) 435054. + 753536.i 0.0747970 + 0.129552i
\(509\) −2.05351e6 + 3.55678e6i −0.351319 + 0.608502i −0.986481 0.163877i \(-0.947600\pi\)
0.635162 + 0.772379i \(0.280933\pi\)
\(510\) −1.95173e6 −0.332272
\(511\) 5.12346e6 + 2.08399e6i 0.867983 + 0.353055i
\(512\) −4.64339e6 −0.782816
\(513\) −5.11651e6 + 8.86206e6i −0.858382 + 1.48676i
\(514\) −7.03479e6 1.21846e7i −1.17447 2.03425i
\(515\) 622777. + 1.07868e6i 0.103470 + 0.179215i
\(516\) 2.17985e6 3.77560e6i 0.360414 0.624255i
\(517\) −5.80698e6 −0.955486
\(518\) −134198. 54585.4i −0.0219746 0.00893824i
\(519\) −4.54794e6 −0.741134
\(520\) −978773. + 1.69529e6i −0.158735 + 0.274938i
\(521\) −3.40062e6 5.89005e6i −0.548863 0.950659i −0.998353 0.0573734i \(-0.981727\pi\)
0.449490 0.893286i \(-0.351606\pi\)
\(522\) −110607. 191577.i −0.0177667 0.0307728i
\(523\) 1.65758e6 2.87101e6i 0.264984 0.458966i −0.702576 0.711609i \(-0.747967\pi\)
0.967559 + 0.252644i \(0.0813000\pi\)
\(524\) −429083. −0.0682674
\(525\) −176542. 1.27787e6i −0.0279544 0.202344i
\(526\) −1.17828e7 −1.85688
\(527\) −1.44347e6 + 2.50016e6i −0.226403 + 0.392141i
\(528\) 3.88873e6 + 6.73548e6i 0.607048 + 1.05144i
\(529\) 1.08456e6 + 1.87851e6i 0.168505 + 0.291860i
\(530\) −1.63327e6 + 2.82891e6i −0.252563 + 0.437452i
\(531\) 67880.7 0.0104475
\(532\) 5.72434e6 4.45079e6i 0.876893 0.681802i
\(533\) 6.99857e6 1.06707
\(534\) −440808. + 763502.i −0.0668954 + 0.115866i
\(535\) −991360. 1.71709e6i −0.149743 0.259363i
\(536\) 1.42945e6 + 2.47587e6i 0.214909 + 0.372234i
\(537\) −3.58931e6 + 6.21687e6i −0.537125 + 0.930328i
\(538\) −9.91190e6 −1.47639
\(539\) 6.26175e6 1.76383e6i 0.928375 0.261507i
\(540\) −1.87268e6 −0.276363
\(541\) −1.73978e6 + 3.01338e6i −0.255564 + 0.442650i −0.965049 0.262071i \(-0.915595\pi\)
0.709484 + 0.704721i \(0.248928\pi\)
\(542\) −2.75266e6 4.76775e6i −0.402490 0.697132i
\(543\) 1.20685e6 + 2.09033e6i 0.175653 + 0.304239i
\(544\) −2.17121e6 + 3.76065e6i −0.314561 + 0.544836i
\(545\) 4.57768e6 0.660167
\(546\) −1.08441e7 + 8.43149e6i −1.55672 + 1.21038i
\(547\) 2.55022e6 0.364426 0.182213 0.983259i \(-0.441674\pi\)
0.182213 + 0.983259i \(0.441674\pi\)
\(548\) −2.88538e6 + 4.99762e6i −0.410441 + 0.710905i
\(549\) −20985.0 36347.1i −0.00297151 0.00514681i
\(550\) −874205. 1.51417e6i −0.123227 0.213436i
\(551\) 4.03813e6 6.99425e6i 0.566632 0.981436i
\(552\) −2.79664e6 −0.390652
\(553\) −1.91422e6 1.38558e7i −0.266183 1.92672i
\(554\) 1.49515e7 2.06972
\(555\) 30771.4 53297.6i 0.00424048 0.00734473i
\(556\) 2.85658e6 + 4.94774e6i 0.391885 + 0.678765i
\(557\) −1.67113e6 2.89449e6i −0.228230 0.395307i 0.729053 0.684457i \(-0.239961\pi\)
−0.957284 + 0.289150i \(0.906627\pi\)
\(558\) 161082. 279001.i 0.0219008 0.0379333i
\(559\) −1.24616e7 −1.68673
\(560\) −3.78898e6 1.54118e6i −0.510566 0.207675i
\(561\) 4.18106e6 0.560892
\(562\) 1.56053e6 2.70292e6i 0.208416 0.360988i
\(563\) 3.15206e6 + 5.45953e6i 0.419106 + 0.725913i 0.995850 0.0910124i \(-0.0290103\pi\)
−0.576744 + 0.816925i \(0.695677\pi\)
\(564\) 2.41653e6 + 4.18554e6i 0.319885 + 0.554057i
\(565\) 1.71302e6 2.96704e6i 0.225758 0.391024i
\(566\) 1.03602e7 1.35933
\(567\) 7.38358e6 + 3.00330e6i 0.964516 + 0.392320i
\(568\) −5.22150e6 −0.679085
\(569\) −1.76028e6 + 3.04890e6i −0.227930 + 0.394786i −0.957194 0.289446i \(-0.906529\pi\)
0.729265 + 0.684232i \(0.239862\pi\)
\(570\) 3.97579e6 + 6.88628e6i 0.512551 + 0.887764i
\(571\) 3.75659e6 + 6.50661e6i 0.482174 + 0.835150i 0.999791 0.0204629i \(-0.00651400\pi\)
−0.517617 + 0.855613i \(0.673181\pi\)
\(572\) −3.60595e6 + 6.24568e6i −0.460818 + 0.798160i
\(573\) −8.19906e6 −1.04322
\(574\) 974568. + 7.05425e6i 0.123462 + 0.893657i
\(575\) 1.29108e6 0.162848
\(576\) 30750.7 53261.8i 0.00386189 0.00668898i
\(577\) 3.33747e6 + 5.78067e6i 0.417329 + 0.722835i 0.995670 0.0929604i \(-0.0296330\pi\)
−0.578341 + 0.815795i \(0.696300\pi\)
\(578\) −3.46742e6 6.00576e6i −0.431705 0.747736i
\(579\) −6.12930e6 + 1.06163e7i −0.759826 + 1.31606i
\(580\) 1.47799e6 0.182432
\(581\) 1.01348e7 7.88000e6i 1.24559 0.968469i
\(582\) 1.00208e7 1.22629
\(583\) 3.49886e6 6.06021e6i 0.426339 0.738441i
\(584\) 1.81397e6 + 3.14190e6i 0.220089 + 0.381206i
\(585\) −120581. 208852.i −0.0145676 0.0252319i
\(586\) −502014. + 869513.i −0.0603909 + 0.104600i
\(587\) −1.44246e7 −1.72785 −0.863927 0.503617i \(-0.832002\pi\)
−0.863927 + 0.503617i \(0.832002\pi\)
\(588\) −3.87710e6 3.77933e6i −0.462449 0.450787i
\(589\) 1.17618e7 1.39696
\(590\) −585385. + 1.01392e6i −0.0692328 + 0.119915i
\(591\) −1.96544e6 3.40425e6i −0.231468 0.400915i
\(592\) −97571.4 168999.i −0.0114424 0.0198189i
\(593\) −4.31646e6 + 7.47633e6i −0.504070 + 0.873075i 0.495919 + 0.868369i \(0.334831\pi\)
−0.999989 + 0.00470622i \(0.998502\pi\)
\(594\) 1.03562e7 1.20430
\(595\) −1.73597e6 + 1.34975e6i −0.201025 + 0.156301i
\(596\) 1.40499e6 0.162016
\(597\) 7.08990e6 1.22801e7i 0.814150 1.41015i
\(598\) −6.87380e6 1.19058e7i −0.786038 1.36146i
\(599\) −2.87998e6 4.98827e6i −0.327961 0.568046i 0.654146 0.756368i \(-0.273028\pi\)
−0.982107 + 0.188323i \(0.939695\pi\)
\(600\) 423072. 732783.i 0.0479774 0.0830992i
\(601\) −6.23001e6 −0.703562 −0.351781 0.936082i \(-0.614424\pi\)
−0.351781 + 0.936082i \(0.614424\pi\)
\(602\) −1.73531e6 1.25608e7i −0.195158 1.41262i
\(603\) −352204. −0.0394458
\(604\) −2.62011e6 + 4.53817e6i −0.292232 + 0.506161i
\(605\) −140382. 243149.i −0.0155928 0.0270074i
\(606\) −4.18593e6 7.25024e6i −0.463031 0.801993i
\(607\) −1.39932e6 + 2.42369e6i −0.154150 + 0.266996i −0.932749 0.360526i \(-0.882597\pi\)
0.778599 + 0.627522i \(0.215931\pi\)
\(608\) 1.76916e7 1.94092
\(609\) −5.58611e6 2.27217e6i −0.610332 0.248255i
\(610\) 723876. 0.0787661
\(611\) 6.90734e6 1.19639e7i 0.748528 1.29649i
\(612\) −71909.0 124550.i −0.00776076 0.0134420i
\(613\) −6.20958e6 1.07553e7i −0.667438 1.15604i −0.978618 0.205686i \(-0.934058\pi\)
0.311180 0.950351i \(-0.399276\pi\)
\(614\) −2.28130e6 + 3.95132e6i −0.244208 + 0.422981i
\(615\) −3.02511e6 −0.322518
\(616\) 3.95258e6 + 1.60772e6i 0.419690 + 0.170710i
\(617\) 5.63980e6 0.596418 0.298209 0.954501i \(-0.403611\pi\)
0.298209 + 0.954501i \(0.403611\pi\)
\(618\) −2.86641e6 + 4.96477e6i −0.301903 + 0.522911i
\(619\) −2.89857e6 5.02047e6i −0.304059 0.526645i 0.672993 0.739649i \(-0.265009\pi\)
−0.977051 + 0.213004i \(0.931675\pi\)
\(620\) 1.07623e6 + 1.86408e6i 0.112441 + 0.194753i
\(621\) −3.82366e6 + 6.62277e6i −0.397878 + 0.689145i
\(622\) 1.59322e7 1.65120
\(623\) 135936. + 983950.i 0.0140318 + 0.101567i
\(624\) −1.85024e7 −1.90225
\(625\) −195312. + 338291.i −0.0200000 + 0.0346410i
\(626\) 1.59700e6 + 2.76609e6i 0.162881 + 0.282118i
\(627\) −8.51710e6 1.47520e7i −0.865212 1.49859i
\(628\) 1.04201e6 1.80482e6i 0.105432 0.182614i
\(629\) −104906. −0.0105724
\(630\) 193723. 150623.i 0.0194459 0.0151196i
\(631\) −3.41197e6 −0.341140 −0.170570 0.985346i \(-0.554561\pi\)
−0.170570 + 0.985346i \(0.554561\pi\)
\(632\) 4.58731e6 7.94545e6i 0.456841 0.791272i
\(633\) −4.28867e6 7.42819e6i −0.425415 0.736841i
\(634\) 4.81093e6 + 8.33278e6i 0.475342 + 0.823316i
\(635\) −537521. + 931014.i −0.0529007 + 0.0916267i
\(636\) −5.82408e6 −0.570932
\(637\) −3.81435e6 + 1.49989e7i −0.372453 + 1.46457i
\(638\) −8.17346e6 −0.794977
\(639\) 321634. 557086.i 0.0311609 0.0539722i
\(640\) −2.02974e6 3.51562e6i −0.195881 0.339275i
\(641\) 5.92432e6 + 1.02612e7i 0.569499 + 0.986402i 0.996615 + 0.0822049i \(0.0261962\pi\)
−0.427116 + 0.904197i \(0.640470\pi\)
\(642\) 4.56286e6 7.90311e6i 0.436918 0.756764i
\(643\) −6.05156e6 −0.577218 −0.288609 0.957447i \(-0.593193\pi\)
−0.288609 + 0.957447i \(0.593193\pi\)
\(644\) 4.27790e6 3.32616e6i 0.406458 0.316030i
\(645\) 5.38651e6 0.509810
\(646\) 6.77716e6 1.17384e7i 0.638950 1.10669i
\(647\) 4.91125e6 + 8.50654e6i 0.461245 + 0.798900i 0.999023 0.0441865i \(-0.0140696\pi\)
−0.537778 + 0.843086i \(0.680736\pi\)
\(648\) 2.61418e6 + 4.52788e6i 0.244567 + 0.423602i
\(649\) 1.25403e6 2.17205e6i 0.116869 0.202422i
\(650\) 4.15943e6 0.386145
\(651\) −1.20192e6 8.69988e6i −0.111153 0.804565i
\(652\) −1.17647e7 −1.08383
\(653\) 478593. 828947.i 0.0439221 0.0760753i −0.843229 0.537555i \(-0.819348\pi\)
0.887151 + 0.461480i \(0.152681\pi\)
\(654\) 1.05347e7 + 1.82466e7i 0.963112 + 1.66816i
\(655\) −265072. 459118.i −0.0241413 0.0418139i
\(656\) −4.79609e6 + 8.30707e6i −0.435138 + 0.753682i
\(657\) −446949. −0.0403965
\(658\) 1.30209e7 + 5.29630e6i 1.17240 + 0.476879i
\(659\) −1.54679e7 −1.38745 −0.693725 0.720240i \(-0.744032\pi\)
−0.693725 + 0.720240i \(0.744032\pi\)
\(660\) 1.55866e6 2.69968e6i 0.139281 0.241242i
\(661\) 1.97518e6 + 3.42111e6i 0.175834 + 0.304554i 0.940450 0.339933i \(-0.110404\pi\)
−0.764615 + 0.644487i \(0.777071\pi\)
\(662\) 5.43062e6 + 9.40612e6i 0.481620 + 0.834191i
\(663\) −4.97333e6 + 8.61405e6i −0.439403 + 0.761068i
\(664\) 8.42055e6 0.741174
\(665\) 8.29863e6 + 3.37549e6i 0.727700 + 0.295994i
\(666\) 11706.8 0.00102271
\(667\) 3.01777e6 5.22692e6i 0.262646 0.454916i
\(668\) 4.81495e6 + 8.33974e6i 0.417494 + 0.723122i
\(669\) 1.06764e7 + 1.84920e7i 0.922270 + 1.59742i
\(670\) 3.03731e6 5.26078e6i 0.261398 0.452755i
\(671\) −1.55071e6 −0.132961
\(672\) −1.80788e6 1.30860e7i −0.154435 1.11785i
\(673\) −1.64772e7 −1.40231 −0.701157 0.713007i \(-0.747333\pi\)
−0.701157 + 0.713007i \(0.747333\pi\)
\(674\) −8.47167e6 + 1.46734e7i −0.718322 + 1.24417i
\(675\) −1.15687e6 2.00377e6i −0.0977298 0.169273i
\(676\) −4.82205e6 8.35203e6i −0.405849 0.702951i
\(677\) 4.50162e6 7.79704e6i 0.377483 0.653820i −0.613212 0.789918i \(-0.710123\pi\)
0.990695 + 0.136099i \(0.0434564\pi\)
\(678\) 1.57688e7 1.31742
\(679\) 8.91303e6 6.93007e6i 0.741909 0.576850i
\(680\) −1.44234e6 −0.119618
\(681\) −4.62523e6 + 8.01113e6i −0.382178 + 0.661952i
\(682\) −5.95167e6 1.03086e7i −0.489980 0.848669i
\(683\) −4.69191e6 8.12662e6i −0.384856 0.666589i 0.606894 0.794783i \(-0.292415\pi\)
−0.991749 + 0.128194i \(0.959082\pi\)
\(684\) −292967. + 507433.i −0.0239430 + 0.0414704i
\(685\) −7.12992e6 −0.580575
\(686\) −1.56493e7 1.75607e6i −1.26965 0.142472i
\(687\) 1.58989e7 1.28522
\(688\) 8.53991e6 1.47916e7i 0.687832 1.19136i
\(689\) 8.32372e6 + 1.44171e7i 0.667989 + 1.15699i
\(690\) 2.97118e6 + 5.14624e6i 0.237578 + 0.411497i
\(691\) 2.52902e6 4.38038e6i 0.201491 0.348993i −0.747518 0.664242i \(-0.768755\pi\)
0.949009 + 0.315249i \(0.102088\pi\)
\(692\) 5.78009e6 0.458848
\(693\) −415000. + 322671.i −0.0328258 + 0.0255227i
\(694\) −2.02318e6 −0.159454
\(695\) −3.52938e6 + 6.11306e6i −0.277164 + 0.480061i
\(696\) −1.97778e6 3.42561e6i −0.154758 0.268049i
\(697\) 2.57831e6 + 4.46577e6i 0.201027 + 0.348189i
\(698\) 4.21568e6 7.30176e6i 0.327513 0.567269i
\(699\) −2.19675e7 −1.70055
\(700\) 224372. + 1.62408e6i 0.0173071 + 0.125274i
\(701\) −2.25374e7 −1.73224 −0.866121 0.499835i \(-0.833394\pi\)
−0.866121 + 0.499835i \(0.833394\pi\)
\(702\) −1.23186e7 + 2.13364e7i −0.943447 + 1.63410i
\(703\) 213701. + 370141.i 0.0163087 + 0.0282474i
\(704\) −1.13618e6 1.96793e6i −0.0864006 0.149650i
\(705\) −2.98568e6 + 5.17135e6i −0.226241 + 0.391860i
\(706\) −1.12344e7 −0.848277
\(707\) −8.73723e6 3.55390e6i −0.657394 0.267397i
\(708\) −2.08742e6 −0.156505
\(709\) 1.18519e6 2.05280e6i 0.0885463 0.153367i −0.818351 0.574719i \(-0.805111\pi\)
0.906897 + 0.421353i \(0.138445\pi\)
\(710\) 5.54736e6 + 9.60832e6i 0.412991 + 0.715322i
\(711\) 565138. + 978847.i 0.0419257 + 0.0726174i
\(712\) −325761. + 564235.i −0.0240824 + 0.0417119i
\(713\) 8.78979e6 0.647522
\(714\) −9.37513e6 3.81336e6i −0.688227 0.279939i
\(715\) −8.91049e6 −0.651833
\(716\) 4.56174e6 7.90117e6i 0.332543 0.575982i
\(717\) 4.04706e6 + 7.00971e6i 0.293996 + 0.509216i
\(718\) 3.09508e6 + 5.36084e6i 0.224058 + 0.388080i
\(719\) 6.27304e6 1.08652e7i 0.452539 0.783820i −0.546004 0.837782i \(-0.683852\pi\)
0.998543 + 0.0539625i \(0.0171852\pi\)
\(720\) 330534. 0.0237621
\(721\) 883941. + 6.39826e6i 0.0633264 + 0.458378i
\(722\) −3.73266e7 −2.66486
\(723\) 1.47962e6 2.56277e6i 0.105270 0.182333i
\(724\) −1.53382e6 2.65665e6i −0.108750 0.188360i
\(725\) 913046. + 1.58144e6i 0.0645131 + 0.111740i
\(726\) 646127. 1.11912e6i 0.0454963 0.0788019i
\(727\) 5.18009e6 0.363498 0.181749 0.983345i \(-0.441824\pi\)
0.181749 + 0.983345i \(0.441824\pi\)
\(728\) −8.01387e6 + 6.23095e6i −0.560420 + 0.435738i
\(729\) 1.36781e7 0.953252
\(730\) 3.85436e6 6.67596e6i 0.267698 0.463667i
\(731\) −4.59094e6 7.95175e6i −0.317767 0.550388i
\(732\) 645316. + 1.11772e6i 0.0445138 + 0.0771002i
\(733\) 7.71894e6 1.33696e7i 0.530637 0.919091i −0.468723 0.883345i \(-0.655286\pi\)
0.999361 0.0357461i \(-0.0113808\pi\)
\(734\) 6.57161e6 0.450227
\(735\) 1.64874e6 6.48321e6i 0.112573 0.442662i
\(736\) 1.32213e7 0.899659
\(737\) −6.50664e6 + 1.12698e7i −0.441253 + 0.764273i
\(738\) −287722. 498350.i −0.0194461 0.0336817i
\(739\) 8.23661e6 + 1.42662e7i 0.554801 + 0.960944i 0.997919 + 0.0644803i \(0.0205390\pi\)
−0.443118 + 0.896463i \(0.646128\pi\)
\(740\) −39108.1 + 67737.2i −0.00262535 + 0.00454724i
\(741\) 4.05240e7 2.71123
\(742\) −1.33727e7 + 1.03976e7i −0.891681 + 0.693300i
\(743\) −2.59403e7 −1.72386 −0.861931 0.507026i \(-0.830745\pi\)
−0.861931 + 0.507026i \(0.830745\pi\)
\(744\) 2.88032e6 4.98885e6i 0.190769 0.330421i
\(745\) 867951. + 1.50334e6i 0.0572934 + 0.0992351i
\(746\) −483636. 837683.i −0.0318179 0.0551103i
\(747\) −518689. + 898395.i −0.0340099 + 0.0589068i
\(748\) −5.31381e6 −0.347258
\(749\) −1.40709e6 1.01850e7i −0.0916469 0.663371i
\(750\) −1.79790e6 −0.116711
\(751\) −5.93040e6 + 1.02718e7i −0.383693 + 0.664576i −0.991587 0.129442i \(-0.958681\pi\)
0.607894 + 0.794018i \(0.292015\pi\)
\(752\) 9.46714e6 + 1.63976e7i 0.610484 + 1.05739i
\(753\) −3.35801e6 5.81625e6i −0.215822 0.373814i
\(754\) 9.72224e6 1.68394e7i 0.622785 1.07870i
\(755\) −6.47444e6 −0.413366
\(756\) −8.99545e6 3.65893e6i −0.572425 0.232836i
\(757\) −6.25104e6 −0.396472 −0.198236 0.980154i \(-0.563521\pi\)
−0.198236 + 0.980154i \(0.563521\pi\)
\(758\) 3.89245e6 6.74193e6i 0.246065 0.426198i
\(759\) −6.36498e6 1.10245e7i −0.401044 0.694629i
\(760\) 2.93815e6 + 5.08902e6i 0.184518 + 0.319595i
\(761\) −1.10266e7 + 1.90986e7i −0.690206 + 1.19547i 0.281565 + 0.959542i \(0.409147\pi\)
−0.971770 + 0.235929i \(0.924187\pi\)
\(762\) −4.94803e6 −0.308706
\(763\) 2.19889e7 + 8.94406e6i 1.36739 + 0.556190i
\(764\) 1.04204e7 0.645877
\(765\) 88845.4 153885.i 0.00548885 0.00950697i
\(766\) 1.66620e6 + 2.88595e6i 0.102602 + 0.177712i