Properties

Label 43.6.e.a.4.9
Level 43
Weight 6
Character 43.4
Analytic conductor 6.897
Analytic rank 0
Dimension 108
CM no
Inner twists 2

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(6.89650425196\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(18\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 4.9
Character \(\chi\) \(=\) 43.4
Dual form 43.6.e.a.11.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.245859 + 0.308297i) q^{2} +(4.65960 + 5.84295i) q^{3} +(7.08607 + 31.0461i) q^{4} +(-95.9791 - 46.2211i) q^{5} -2.94697 q^{6} -56.9405 q^{7} +(-22.6824 - 10.9233i) q^{8} +(41.6444 - 182.456i) q^{9} +O(q^{10})\) \(q+(-0.245859 + 0.308297i) q^{2} +(4.65960 + 5.84295i) q^{3} +(7.08607 + 31.0461i) q^{4} +(-95.9791 - 46.2211i) q^{5} -2.94697 q^{6} -56.9405 q^{7} +(-22.6824 - 10.9233i) q^{8} +(41.6444 - 182.456i) q^{9} +(37.8471 - 18.2262i) q^{10} +(15.4540 - 67.7083i) q^{11} +(-148.383 + 186.066i) q^{12} +(-421.268 - 202.872i) q^{13} +(13.9993 - 17.5546i) q^{14} +(-177.156 - 776.173i) q^{15} +(-909.165 + 437.831i) q^{16} +(-1781.27 + 857.813i) q^{17} +(46.0120 + 57.6972i) q^{18} +(371.692 + 1628.49i) q^{19} +(754.870 - 3307.30i) q^{20} +(-265.320 - 332.701i) q^{21} +(17.0748 + 21.4111i) q^{22} +(582.754 - 2553.21i) q^{23} +(-41.8668 - 183.430i) q^{24} +(5127.20 + 6429.30i) q^{25} +(166.117 - 79.9979i) q^{26} +(2896.32 - 1394.80i) q^{27} +(-403.485 - 1767.78i) q^{28} +(-1912.46 + 2398.15i) q^{29} +(282.847 + 136.212i) q^{30} +(-3756.42 + 4710.41i) q^{31} +(267.811 - 1173.36i) q^{32} +(467.626 - 225.197i) q^{33} +(173.479 - 760.060i) q^{34} +(5465.10 + 2631.86i) q^{35} +5959.64 q^{36} -1088.30 q^{37} +(-593.441 - 285.786i) q^{38} +(-777.569 - 3406.75i) q^{39} +(1672.15 + 2096.81i) q^{40} +(5217.87 - 6543.00i) q^{41} +167.802 q^{42} +(11842.1 - 2602.65i) q^{43} +2211.59 q^{44} +(-12430.3 + 15587.1i) q^{45} +(643.872 + 807.390i) q^{46} +(-1515.04 - 6637.83i) q^{47} +(-6794.57 - 3272.09i) q^{48} -13564.8 q^{49} -3242.70 q^{50} +(-13312.2 - 6410.79i) q^{51} +(3313.25 - 14516.3i) q^{52} +(-29168.5 + 14046.8i) q^{53} +(-282.075 + 1235.85i) q^{54} +(-4612.81 + 5784.28i) q^{55} +(1291.55 + 621.978i) q^{56} +(-7783.24 + 9759.87i) q^{57} +(-269.147 - 1179.21i) q^{58} +(32700.7 - 15747.8i) q^{59} +(22841.8 - 11000.0i) q^{60} +(-16745.4 - 20998.1i) q^{61} +(-528.655 - 2316.19i) q^{62} +(-2371.25 + 10389.1i) q^{63} +(-19837.3 - 24875.2i) q^{64} +(31056.0 + 38943.0i) q^{65} +(-45.5424 + 199.534i) q^{66} +(2719.92 + 11916.8i) q^{67} +(-39253.9 - 49222.9i) q^{68} +(17633.7 - 8491.93i) q^{69} +(-2155.04 + 1037.81i) q^{70} +(7115.08 + 31173.2i) q^{71} +(-2937.61 + 3683.65i) q^{72} +(-26118.1 - 12577.8i) q^{73} +(267.568 - 335.519i) q^{74} +(-13675.4 + 59915.9i) q^{75} +(-47924.3 + 23079.1i) q^{76} +(-879.958 + 3855.35i) q^{77} +(1241.46 + 597.857i) q^{78} +823.071 q^{79} +107498. q^{80} +(-19327.9 - 9307.84i) q^{81} +(734.329 + 3217.31i) q^{82} +(-18776.2 - 23544.6i) q^{83} +(8448.98 - 10594.7i) q^{84} +210614. q^{85} +(-2109.09 + 4290.76i) q^{86} -22923.5 q^{87} +(-1090.13 + 1366.98i) q^{88} +(31550.0 + 39562.5i) q^{89} +(-1749.36 - 7664.45i) q^{90} +(23987.2 + 11551.6i) q^{91} +83396.7 q^{92} -45026.1 q^{93} +(2418.91 + 1164.89i) q^{94} +(39595.9 - 173481. i) q^{95} +(8103.76 - 3902.57i) q^{96} +(-12862.1 + 56352.7i) q^{97} +(3335.02 - 4181.98i) q^{98} +(-11710.2 - 5639.34i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108q - 3q^{2} - 9q^{3} - 331q^{4} + 67q^{5} - 20q^{6} - 624q^{7} + 589q^{8} - 579q^{9} + O(q^{10}) \) \( 108q - 3q^{2} - 9q^{3} - 331q^{4} + 67q^{5} - 20q^{6} - 624q^{7} + 589q^{8} - 579q^{9} + 627q^{10} - 220q^{11} - 663q^{12} - 1266q^{13} + 2353q^{14} + 1471q^{15} - 4583q^{16} - 1490q^{17} + 4728q^{18} + 946q^{19} + 14589q^{20} + 776q^{21} + 963q^{22} - 3018q^{23} - 17761q^{24} - 11939q^{25} + 1315q^{26} + 11277q^{27} - 10787q^{28} + 7283q^{29} - 55324q^{30} + 18676q^{31} - 10965q^{32} + 8776q^{33} + 23815q^{34} - 13340q^{35} + 136240q^{36} + 4994q^{37} + 39351q^{38} - 21251q^{39} + 14719q^{40} - 10519q^{41} - 199326q^{42} + 7026q^{43} - 180280q^{44} + 65996q^{45} - 5266q^{46} + 34102q^{47} + 69385q^{48} + 232252q^{49} + 17850q^{50} + 4116q^{51} + 32385q^{52} + 46774q^{53} - 30267q^{54} + 83643q^{55} - 231565q^{56} + 79511q^{57} - 222889q^{58} - 142070q^{59} + 42019q^{60} + 4715q^{61} - 150121q^{62} - 53547q^{63} + 163605q^{64} - 106653q^{65} - 56111q^{66} + 370962q^{67} - 579312q^{68} - 245635q^{69} - 91242q^{70} + 16922q^{71} + 586300q^{72} + 97842q^{73} + 535946q^{74} + 245407q^{75} + 942280q^{76} + 43381q^{77} + 173684q^{78} + 187210q^{79} - 752974q^{80} - 791814q^{81} + 387227q^{82} - 444471q^{83} - 688442q^{84} + 255432q^{85} - 244075q^{86} - 1418850q^{87} + 196837q^{88} + 408972q^{89} - 495568q^{90} - 25764q^{91} + 200120q^{92} + 692536q^{93} + 161449q^{94} + 406105q^{95} + 1096556q^{96} + 266261q^{97} + 527485q^{98} + 212416q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{2}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.245859 + 0.308297i −0.0434621 + 0.0544997i −0.803088 0.595861i \(-0.796811\pi\)
0.759625 + 0.650361i \(0.225382\pi\)
\(3\) 4.65960 + 5.84295i 0.298913 + 0.374825i 0.908494 0.417899i \(-0.137233\pi\)
−0.609580 + 0.792724i \(0.708662\pi\)
\(4\) 7.08607 + 31.0461i 0.221440 + 0.970191i
\(5\) −95.9791 46.2211i −1.71693 0.826828i −0.990159 0.139945i \(-0.955307\pi\)
−0.726768 0.686883i \(-0.758978\pi\)
\(6\) −2.94697 −0.0334193
\(7\) −56.9405 −0.439214 −0.219607 0.975588i \(-0.570478\pi\)
−0.219607 + 0.975588i \(0.570478\pi\)
\(8\) −22.6824 10.9233i −0.125304 0.0603432i
\(9\) 41.6444 182.456i 0.171376 0.750847i
\(10\) 37.8471 18.2262i 0.119683 0.0576364i
\(11\) 15.4540 67.7083i 0.0385087 0.168718i −0.952017 0.306045i \(-0.900994\pi\)
0.990526 + 0.137328i \(0.0438513\pi\)
\(12\) −148.383 + 186.066i −0.297461 + 0.373004i
\(13\) −421.268 202.872i −0.691354 0.332938i 0.0550014 0.998486i \(-0.482484\pi\)
−0.746355 + 0.665548i \(0.768198\pi\)
\(14\) 13.9993 17.5546i 0.0190892 0.0239371i
\(15\) −177.156 776.173i −0.203296 0.890698i
\(16\) −909.165 + 437.831i −0.887856 + 0.427569i
\(17\) −1781.27 + 857.813i −1.49488 + 0.719897i −0.989705 0.143119i \(-0.954287\pi\)
−0.505176 + 0.863016i \(0.668573\pi\)
\(18\) 46.0120 + 57.6972i 0.0334726 + 0.0419733i
\(19\) 371.692 + 1628.49i 0.236210 + 1.03490i 0.944378 + 0.328861i \(0.106665\pi\)
−0.708168 + 0.706044i \(0.750478\pi\)
\(20\) 754.870 3307.30i 0.421985 1.84884i
\(21\) −265.320 332.701i −0.131287 0.164629i
\(22\) 17.0748 + 21.4111i 0.00752140 + 0.00943153i
\(23\) 582.754 2553.21i 0.229702 1.00639i −0.720181 0.693786i \(-0.755941\pi\)
0.949883 0.312605i \(-0.101202\pi\)
\(24\) −41.8668 183.430i −0.0148368 0.0650045i
\(25\) 5127.20 + 6429.30i 1.64070 + 2.05738i
\(26\) 166.117 79.9979i 0.0481927 0.0232084i
\(27\) 2896.32 1394.80i 0.764606 0.368215i
\(28\) −403.485 1767.78i −0.0972595 0.426122i
\(29\) −1912.46 + 2398.15i −0.422276 + 0.529518i −0.946776 0.321893i \(-0.895681\pi\)
0.524500 + 0.851411i \(0.324252\pi\)
\(30\) 282.847 + 136.212i 0.0573785 + 0.0276320i
\(31\) −3756.42 + 4710.41i −0.702054 + 0.880347i −0.997175 0.0751123i \(-0.976068\pi\)
0.295121 + 0.955460i \(0.404640\pi\)
\(32\) 267.811 1173.36i 0.0462332 0.202561i
\(33\) 467.626 225.197i 0.0747504 0.0359979i
\(34\) 173.479 760.060i 0.0257365 0.112759i
\(35\) 5465.10 + 2631.86i 0.754099 + 0.363155i
\(36\) 5959.64 0.766414
\(37\) −1088.30 −0.130690 −0.0653452 0.997863i \(-0.520815\pi\)
−0.0653452 + 0.997863i \(0.520815\pi\)
\(38\) −593.441 285.786i −0.0666682 0.0321057i
\(39\) −777.569 3406.75i −0.0818611 0.358657i
\(40\) 1672.15 + 2096.81i 0.165244 + 0.207210i
\(41\) 5217.87 6543.00i 0.484767 0.607879i −0.477951 0.878387i \(-0.658620\pi\)
0.962718 + 0.270508i \(0.0871916\pi\)
\(42\) 167.802 0.0146782
\(43\) 11842.1 2602.65i 0.976689 0.214657i
\(44\) 2211.59 0.172216
\(45\) −12430.3 + 15587.1i −0.915062 + 1.14745i
\(46\) 643.872 + 807.390i 0.0448647 + 0.0562586i
\(47\) −1515.04 6637.83i −0.100041 0.438310i −0.999997 0.00232914i \(-0.999259\pi\)
0.899956 0.435981i \(-0.143599\pi\)
\(48\) −6794.57 3272.09i −0.425656 0.204985i
\(49\) −13564.8 −0.807091
\(50\) −3242.70 −0.183435
\(51\) −13312.2 6410.79i −0.716676 0.345133i
\(52\) 3313.25 14516.3i 0.169921 0.744471i
\(53\) −29168.5 + 14046.8i −1.42635 + 0.686892i −0.978314 0.207126i \(-0.933589\pi\)
−0.448032 + 0.894018i \(0.647875\pi\)
\(54\) −282.075 + 1235.85i −0.0131638 + 0.0576742i
\(55\) −4612.81 + 5784.28i −0.205617 + 0.257836i
\(56\) 1291.55 + 621.978i 0.0550353 + 0.0265036i
\(57\) −7783.24 + 9759.87i −0.317302 + 0.397884i
\(58\) −269.147 1179.21i −0.0105056 0.0460279i
\(59\) 32700.7 15747.8i 1.22300 0.588967i 0.292856 0.956156i \(-0.405394\pi\)
0.930146 + 0.367190i \(0.119680\pi\)
\(60\) 22841.8 11000.0i 0.819129 0.394472i
\(61\) −16745.4 20998.1i −0.576197 0.722528i 0.405262 0.914200i \(-0.367180\pi\)
−0.981459 + 0.191673i \(0.938609\pi\)
\(62\) −528.655 2316.19i −0.0174660 0.0765235i
\(63\) −2371.25 + 10389.1i −0.0752708 + 0.329783i
\(64\) −19837.3 24875.2i −0.605385 0.759129i
\(65\) 31056.0 + 38943.0i 0.911721 + 1.14326i
\(66\) −45.5424 + 199.534i −0.00128693 + 0.00563842i
\(67\) 2719.92 + 11916.8i 0.0740235 + 0.324318i 0.998359 0.0572622i \(-0.0182371\pi\)
−0.924336 + 0.381580i \(0.875380\pi\)
\(68\) −39253.9 49222.9i −1.02946 1.29091i
\(69\) 17633.7 8491.93i 0.445882 0.214726i
\(70\) −2155.04 + 1037.81i −0.0525666 + 0.0253147i
\(71\) 7115.08 + 31173.2i 0.167507 + 0.733898i 0.986988 + 0.160792i \(0.0514047\pi\)
−0.819481 + 0.573106i \(0.805738\pi\)
\(72\) −2937.61 + 3683.65i −0.0667826 + 0.0837427i
\(73\) −26118.1 12577.8i −0.573633 0.276247i 0.124495 0.992220i \(-0.460269\pi\)
−0.698128 + 0.715973i \(0.745983\pi\)
\(74\) 267.568 335.519i 0.00568008 0.00712259i
\(75\) −13675.4 + 59915.9i −0.280729 + 1.22995i
\(76\) −47924.3 + 23079.1i −0.951748 + 0.458338i
\(77\) −879.958 + 3855.35i −0.0169136 + 0.0741032i
\(78\) 1241.46 + 597.857i 0.0231045 + 0.0111266i
\(79\) 823.071 0.0148378 0.00741890 0.999972i \(-0.497638\pi\)
0.00741890 + 0.999972i \(0.497638\pi\)
\(80\) 107498. 1.87791
\(81\) −19327.9 9307.84i −0.327320 0.157629i
\(82\) 734.329 + 3217.31i 0.0120602 + 0.0528394i
\(83\) −18776.2 23544.6i −0.299167 0.375143i 0.609414 0.792852i \(-0.291405\pi\)
−0.908581 + 0.417709i \(0.862833\pi\)
\(84\) 8448.98 10594.7i 0.130649 0.163829i
\(85\) 210614. 3.16183
\(86\) −2109.09 + 4290.76i −0.0307502 + 0.0625588i
\(87\) −22923.5 −0.324701
\(88\) −1090.13 + 1366.98i −0.0150062 + 0.0188172i
\(89\) 31550.0 + 39562.5i 0.422206 + 0.529430i 0.946757 0.321949i \(-0.104338\pi\)
−0.524551 + 0.851379i \(0.675767\pi\)
\(90\) −1749.36 7664.45i −0.0227653 0.0997413i
\(91\) 23987.2 + 11551.6i 0.303652 + 0.146231i
\(92\) 83396.7 1.02726
\(93\) −45026.1 −0.539830
\(94\) 2418.91 + 1164.89i 0.0282358 + 0.0135976i
\(95\) 39595.9 173481.i 0.450133 1.97216i
\(96\) 8103.76 3902.57i 0.0897447 0.0432188i
\(97\) −12862.1 + 56352.7i −0.138798 + 0.608114i 0.856902 + 0.515479i \(0.172386\pi\)
−0.995700 + 0.0926351i \(0.970471\pi\)
\(98\) 3335.02 4181.98i 0.0350779 0.0439862i
\(99\) −11710.2 5639.34i −0.120082 0.0578283i
\(100\) −163273. + 204738.i −1.63273 + 2.04738i
\(101\) −15920.7 69753.2i −0.155296 0.680394i −0.991295 0.131663i \(-0.957968\pi\)
0.835999 0.548731i \(-0.184889\pi\)
\(102\) 5249.34 2527.95i 0.0499579 0.0240585i
\(103\) −160764. + 77419.9i −1.49312 + 0.719050i −0.989454 0.144846i \(-0.953731\pi\)
−0.503669 + 0.863896i \(0.668017\pi\)
\(104\) 7339.36 + 9203.26i 0.0665388 + 0.0834370i
\(105\) 10087.4 + 44195.7i 0.0892905 + 0.391207i
\(106\) 2840.74 12446.1i 0.0245565 0.107589i
\(107\) −127154. 159446.i −1.07367 1.34633i −0.934459 0.356071i \(-0.884116\pi\)
−0.139207 0.990263i \(-0.544455\pi\)
\(108\) 63826.5 + 80035.9i 0.526552 + 0.660276i
\(109\) 26132.1 114492.i 0.210673 0.923018i −0.753438 0.657519i \(-0.771606\pi\)
0.964111 0.265499i \(-0.0855368\pi\)
\(110\) −649.178 2844.23i −0.00511543 0.0224122i
\(111\) −5071.03 6358.88i −0.0390651 0.0489861i
\(112\) 51768.3 24930.3i 0.389959 0.187794i
\(113\) 94175.4 45352.5i 0.693811 0.334122i −0.0535262 0.998566i \(-0.517046\pi\)
0.747338 + 0.664444i \(0.231332\pi\)
\(114\) −1095.36 4799.10i −0.00789398 0.0345858i
\(115\) −173944. + 218119.i −1.22650 + 1.53798i
\(116\) −88004.9 42380.9i −0.607242 0.292432i
\(117\) −54558.7 + 68414.4i −0.368467 + 0.462043i
\(118\) −3184.74 + 13953.3i −0.0210557 + 0.0922510i
\(119\) 101426. 48844.4i 0.656574 0.316189i
\(120\) −4460.02 + 19540.6i −0.0282738 + 0.123875i
\(121\) 140756. + 67784.7i 0.873986 + 0.420890i
\(122\) 10590.6 0.0644203
\(123\) 62543.6 0.372752
\(124\) −172858. 83244.0i −1.00957 0.486182i
\(125\) −120857. 529507.i −0.691824 3.03108i
\(126\) −2619.95 3285.31i −0.0147017 0.0184353i
\(127\) 122170. 153197.i 0.672135 0.842830i −0.322469 0.946580i \(-0.604513\pi\)
0.994603 + 0.103750i \(0.0330841\pi\)
\(128\) 51059.2 0.275454
\(129\) 70386.5 + 57065.3i 0.372404 + 0.301924i
\(130\) −19641.4 −0.101933
\(131\) −220384. + 276353.i −1.12202 + 1.40697i −0.219883 + 0.975526i \(0.570568\pi\)
−0.902139 + 0.431445i \(0.858004\pi\)
\(132\) 10305.1 + 12922.2i 0.0514775 + 0.0645508i
\(133\) −21164.3 92726.9i −0.103747 0.454545i
\(134\) −4342.62 2091.30i −0.0208925 0.0100613i
\(135\) −342455. −1.61722
\(136\) 49773.6 0.230755
\(137\) 158025. + 76100.8i 0.719324 + 0.346408i 0.757475 0.652864i \(-0.226433\pi\)
−0.0381514 + 0.999272i \(0.512147\pi\)
\(138\) −1717.36 + 7524.23i −0.00767649 + 0.0336329i
\(139\) −148407. + 71469.0i −0.651504 + 0.313748i −0.730283 0.683144i \(-0.760612\pi\)
0.0787797 + 0.996892i \(0.474898\pi\)
\(140\) −42982.7 + 188320.i −0.185342 + 0.812037i
\(141\) 31725.0 39781.9i 0.134386 0.168515i
\(142\) −11359.9 5470.65i −0.0472775 0.0227676i
\(143\) −20246.4 + 25388.2i −0.0827957 + 0.103822i
\(144\) 42023.2 + 184116.i 0.168882 + 0.739919i
\(145\) 294401. 141776.i 1.16284 0.559993i
\(146\) 10299.1 4959.77i 0.0399867 0.0192566i
\(147\) −63206.4 79258.3i −0.241250 0.302518i
\(148\) −7711.76 33787.4i −0.0289400 0.126795i
\(149\) 3412.48 14951.1i 0.0125923 0.0551705i −0.968241 0.250017i \(-0.919564\pi\)
0.980834 + 0.194847i \(0.0624209\pi\)
\(150\) −15109.7 18946.9i −0.0548311 0.0687560i
\(151\) 241505. + 302837.i 0.861952 + 1.08085i 0.995953 + 0.0898727i \(0.0286460\pi\)
−0.134001 + 0.990981i \(0.542783\pi\)
\(152\) 9357.56 40998.1i 0.0328514 0.143931i
\(153\) 82333.3 + 360726.i 0.284346 + 1.24580i
\(154\) −972.247 1219.16i −0.00330350 0.00414246i
\(155\) 578258. 278475.i 1.93327 0.931014i
\(156\) 100256. 48281.0i 0.329838 0.158842i
\(157\) 16085.7 + 70476.1i 0.0520824 + 0.228188i 0.994270 0.106898i \(-0.0340918\pi\)
−0.942188 + 0.335086i \(0.891235\pi\)
\(158\) −202.359 + 253.750i −0.000644882 + 0.000808656i
\(159\) −217989. 104978.i −0.683818 0.329310i
\(160\) −79938.2 + 100239.i −0.246862 + 0.309555i
\(161\) −33182.3 + 145381.i −0.100889 + 0.442022i
\(162\) 7621.52 3670.33i 0.0228168 0.0109880i
\(163\) 88790.2 389015.i 0.261756 1.14683i −0.657590 0.753376i \(-0.728424\pi\)
0.919346 0.393450i \(-0.128719\pi\)
\(164\) 240109. + 115630.i 0.697105 + 0.335708i
\(165\) −55291.1 −0.158105
\(166\) 11875.0 0.0334476
\(167\) 1587.39 + 764.448i 0.00440446 + 0.00212108i 0.436085 0.899906i \(-0.356365\pi\)
−0.431680 + 0.902027i \(0.642079\pi\)
\(168\) 2383.92 + 10444.6i 0.00651656 + 0.0285509i
\(169\) −95187.6 119361.i −0.256368 0.321475i
\(170\) −51781.2 + 64931.6i −0.137420 + 0.172319i
\(171\) 312606. 0.817536
\(172\) 164716. + 349208.i 0.424536 + 0.900041i
\(173\) 119040. 0.302396 0.151198 0.988503i \(-0.451687\pi\)
0.151198 + 0.988503i \(0.451687\pi\)
\(174\) 5635.95 7067.26i 0.0141122 0.0176961i
\(175\) −291945. 366088.i −0.720620 0.903629i
\(176\) 15594.6 + 68324.2i 0.0379482 + 0.166262i
\(177\) 244386. + 117690.i 0.586331 + 0.282362i
\(178\) −19953.9 −0.0472038
\(179\) −274251. −0.639759 −0.319880 0.947458i \(-0.603642\pi\)
−0.319880 + 0.947458i \(0.603642\pi\)
\(180\) −572001. 275461.i −1.31588 0.633693i
\(181\) 12683.7 55570.8i 0.0287772 0.126081i −0.958499 0.285096i \(-0.907975\pi\)
0.987276 + 0.159015i \(0.0508317\pi\)
\(182\) −9458.81 + 4555.12i −0.0211669 + 0.0101935i
\(183\) 44663.8 195685.i 0.0985889 0.431946i
\(184\) −41107.7 + 51547.4i −0.0895115 + 0.112244i
\(185\) 104454. + 50302.4i 0.224386 + 0.108059i
\(186\) 11070.1 13881.4i 0.0234621 0.0294206i
\(187\) 30553.4 + 133863.i 0.0638934 + 0.279935i
\(188\) 195343. 94072.3i 0.403091 0.194119i
\(189\) −164918. + 79420.4i −0.335826 + 0.161725i
\(190\) 43748.6 + 54859.0i 0.0879185 + 0.110246i
\(191\) 188875. + 827514.i 0.374619 + 1.64132i 0.713623 + 0.700530i \(0.247053\pi\)
−0.339003 + 0.940785i \(0.610090\pi\)
\(192\) 52910.6 231816.i 0.103583 0.453828i
\(193\) −20551.0 25770.1i −0.0397136 0.0497993i 0.761578 0.648073i \(-0.224425\pi\)
−0.801292 + 0.598274i \(0.795853\pi\)
\(194\) −14211.1 17820.2i −0.0271096 0.0339944i
\(195\) −82833.5 + 362917.i −0.155998 + 0.683472i
\(196\) −96120.9 421133.i −0.178722 0.783032i
\(197\) −347664. 435957.i −0.638256 0.800347i 0.352528 0.935801i \(-0.385322\pi\)
−0.990784 + 0.135454i \(0.956751\pi\)
\(198\) 4617.65 2223.74i 0.00837063 0.00403108i
\(199\) −571417. + 275180.i −1.02287 + 0.492589i −0.868639 0.495446i \(-0.835005\pi\)
−0.154232 + 0.988035i \(0.549290\pi\)
\(200\) −46068.2 201838.i −0.0814378 0.356802i
\(201\) −56955.3 + 71419.7i −0.0994361 + 0.124689i
\(202\) 25418.9 + 12241.1i 0.0438308 + 0.0211078i
\(203\) 108896. 136552.i 0.185470 0.232572i
\(204\) 104699. 458718.i 0.176144 0.771738i
\(205\) −803231. + 386816.i −1.33492 + 0.642864i
\(206\) 15656.9 68597.4i 0.0257062 0.112626i
\(207\) −441580. 212654.i −0.716281 0.344943i
\(208\) 471826. 0.756177
\(209\) 116006. 0.183703
\(210\) −16105.5 7755.99i −0.0252014 0.0121364i
\(211\) 150454. + 659181.i 0.232647 + 1.01929i 0.947434 + 0.319950i \(0.103666\pi\)
−0.714788 + 0.699341i \(0.753477\pi\)
\(212\) −642789. 806032.i −0.982266 1.23172i
\(213\) −148990. + 186828.i −0.225013 + 0.282158i
\(214\) 80418.4 0.120039
\(215\) −1.25689e6 297553.i −1.85439 0.439004i
\(216\) −80931.4 −0.118027
\(217\) 213893. 268213.i 0.308352 0.386661i
\(218\) 28872.8 + 36205.4i 0.0411479 + 0.0515979i
\(219\) −48208.3 211214.i −0.0679221 0.297586i
\(220\) −212266. 102222.i −0.295681 0.142393i
\(221\) 924418. 1.27317
\(222\) 3207.18 0.00436758
\(223\) 146375. + 70490.5i 0.197108 + 0.0949224i 0.529834 0.848101i \(-0.322254\pi\)
−0.332726 + 0.943024i \(0.607968\pi\)
\(224\) −15249.3 + 66811.6i −0.0203063 + 0.0889676i
\(225\) 1.38658e6 667743.i 1.82595 0.879332i
\(226\) −9171.81 + 40184.3i −0.0119449 + 0.0523342i
\(227\) −37802.2 + 47402.4i −0.0486914 + 0.0610571i −0.805581 0.592486i \(-0.798147\pi\)
0.756890 + 0.653543i \(0.226718\pi\)
\(228\) −358158. 172480.i −0.456287 0.219736i
\(229\) −176319. + 221097.i −0.222182 + 0.278608i −0.880412 0.474209i \(-0.842734\pi\)
0.658230 + 0.752817i \(0.271305\pi\)
\(230\) −24479.8 107253.i −0.0305133 0.133687i
\(231\) −26626.9 + 12822.8i −0.0328314 + 0.0158108i
\(232\) 69574.8 33505.5i 0.0848657 0.0408692i
\(233\) 728309. + 913271.i 0.878872 + 1.10207i 0.994071 + 0.108729i \(0.0346780\pi\)
−0.115199 + 0.993342i \(0.536751\pi\)
\(234\) −7678.23 33640.5i −0.00916688 0.0401627i
\(235\) −161396. + 707120.i −0.190643 + 0.835264i
\(236\) 720628. + 903640.i 0.842231 + 1.05612i
\(237\) 3835.18 + 4809.16i 0.00443522 + 0.00556158i
\(238\) −9877.98 + 43278.3i −0.0113038 + 0.0495253i
\(239\) −43546.1 190788.i −0.0493122 0.216051i 0.944269 0.329176i \(-0.106771\pi\)
−0.993581 + 0.113125i \(0.963914\pi\)
\(240\) 500897. + 628105.i 0.561332 + 0.703889i
\(241\) −777592. + 374469.i −0.862401 + 0.415311i −0.812166 0.583427i \(-0.801711\pi\)
−0.0502356 + 0.998737i \(0.515997\pi\)
\(242\) −55504.0 + 26729.3i −0.0609236 + 0.0293393i
\(243\) −209501. 917883.i −0.227599 0.997176i
\(244\) 533249. 668673.i 0.573397 0.719017i
\(245\) 1.30194e6 + 626979.i 1.38572 + 0.667326i
\(246\) −15376.9 + 19282.0i −0.0162006 + 0.0203149i
\(247\) 173793. 761436.i 0.181255 0.794129i
\(248\) 136658. 65811.0i 0.141093 0.0679468i
\(249\) 50080.5 219417.i 0.0511883 0.224270i
\(250\) 192959. + 92924.3i 0.195261 + 0.0940328i
\(251\) −1.67780e6 −1.68096 −0.840478 0.541846i \(-0.817726\pi\)
−0.840478 + 0.541846i \(0.817726\pi\)
\(252\) −339345. −0.336620
\(253\) −163868. 78914.5i −0.160950 0.0775096i
\(254\) 17193.5 + 75329.5i 0.0167217 + 0.0732623i
\(255\) 981375. + 1.23060e6i 0.945114 + 1.18514i
\(256\) 622239. 780263.i 0.593414 0.744117i
\(257\) −1.76146e6 −1.66357 −0.831785 0.555098i \(-0.812681\pi\)
−0.831785 + 0.555098i \(0.812681\pi\)
\(258\) −34898.2 + 7669.93i −0.0326403 + 0.00717368i
\(259\) 61968.3 0.0574011
\(260\) −988962. + 1.24012e6i −0.907291 + 1.13771i
\(261\) 357913. + 448808.i 0.325219 + 0.407812i
\(262\) −31015.4 135887.i −0.0279141 0.122300i
\(263\) −1.11649e6 537673.i −0.995326 0.479324i −0.135977 0.990712i \(-0.543417\pi\)
−0.859350 + 0.511388i \(0.829131\pi\)
\(264\) −13066.8 −0.0115387
\(265\) 3.44883e6 3.01687
\(266\) 33790.9 + 16272.8i 0.0292816 + 0.0141013i
\(267\) −84151.2 + 368691.i −0.0722408 + 0.316507i
\(268\) −350695. + 168886.i −0.298259 + 0.143634i
\(269\) 230595. 1.01030e6i 0.194299 0.851278i −0.779957 0.625833i \(-0.784759\pi\)
0.974256 0.225445i \(-0.0723836\pi\)
\(270\) 84195.7 105578.i 0.0702878 0.0881382i
\(271\) 436238. + 210081.i 0.360828 + 0.173766i 0.605510 0.795838i \(-0.292969\pi\)
−0.244682 + 0.969603i \(0.578684\pi\)
\(272\) 1.24389e6 1.55979e6i 1.01943 1.27833i
\(273\) 44275.2 + 193982.i 0.0359545 + 0.157527i
\(274\) −62313.5 + 30008.6i −0.0501425 + 0.0241473i
\(275\) 514553. 247796.i 0.410297 0.197589i
\(276\) 388595. + 487283.i 0.307061 + 0.385042i
\(277\) −394466. 1.72827e6i −0.308895 1.35336i −0.856296 0.516486i \(-0.827240\pi\)
0.547401 0.836870i \(-0.315617\pi\)
\(278\) 14453.4 63324.6i 0.0112165 0.0491429i
\(279\) 703007. + 881543.i 0.540691 + 0.678005i
\(280\) −95213.3 119394.i −0.0725776 0.0910094i
\(281\) −540728. + 2.36909e6i −0.408520 + 1.78984i 0.182521 + 0.983202i \(0.441574\pi\)
−0.591041 + 0.806642i \(0.701283\pi\)
\(282\) 4464.78 + 19561.5i 0.00334331 + 0.0146480i
\(283\) 775684. + 972677.i 0.575730 + 0.721942i 0.981378 0.192087i \(-0.0615256\pi\)
−0.405648 + 0.914029i \(0.632954\pi\)
\(284\) −917389. + 441791.i −0.674928 + 0.325028i
\(285\) 1.19814e6 576994.i 0.873767 0.420784i
\(286\) −2849.35 12483.8i −0.00205983 0.00902469i
\(287\) −297108. + 372562.i −0.212917 + 0.266989i
\(288\) −202933. 97727.5i −0.144169 0.0694281i
\(289\) 1.55180e6 1.94590e6i 1.09293 1.37049i
\(290\) −28671.9 + 125620.i −0.0200199 + 0.0877128i
\(291\) −389198. + 187428.i −0.269425 + 0.129748i
\(292\) 205417. 899992.i 0.140987 0.617705i
\(293\) −711064. 342431.i −0.483882 0.233026i 0.176006 0.984389i \(-0.443682\pi\)
−0.659888 + 0.751364i \(0.729396\pi\)
\(294\) 39974.9 0.0269724
\(295\) −3.86647e6 −2.58678
\(296\) 24685.3 + 11887.8i 0.0163760 + 0.00788628i
\(297\) −49679.5 217660.i −0.0326803 0.143182i
\(298\) 3770.38 + 4727.91i 0.00245949 + 0.00308410i
\(299\) −763471. + 957362.i −0.493872 + 0.619296i
\(300\) −1.95706e6 −1.25545
\(301\) −674294. + 148196.i −0.428976 + 0.0942804i
\(302\) −152740. −0.0963685
\(303\) 333380. 418046.i 0.208609 0.261588i
\(304\) −1.05093e6 1.31783e6i −0.652214 0.817850i
\(305\) 636654. + 2.78937e6i 0.391881 + 1.71694i
\(306\) −131453. 63304.5i −0.0802541 0.0386483i
\(307\) −1.28724e6 −0.779494 −0.389747 0.920922i \(-0.627438\pi\)
−0.389747 + 0.920922i \(0.627438\pi\)
\(308\) −125929. −0.0756395
\(309\) −1.20146e6 578591.i −0.715833 0.344727i
\(310\) −56317.0 + 246741.i −0.0332840 + 0.145827i
\(311\) 48039.4 23134.5i 0.0281641 0.0135631i −0.419749 0.907640i \(-0.637882\pi\)
0.447913 + 0.894077i \(0.352167\pi\)
\(312\) −19575.8 + 85767.0i −0.0113850 + 0.0498808i
\(313\) 588568. 738040.i 0.339575 0.425813i −0.582497 0.812833i \(-0.697924\pi\)
0.922071 + 0.387020i \(0.126495\pi\)
\(314\) −25682.4 12368.0i −0.0146998 0.00707905i
\(315\) 707788. 887538.i 0.401908 0.503977i
\(316\) 5832.34 + 25553.1i 0.00328568 + 0.0143955i
\(317\) −257916. + 124206.i −0.144155 + 0.0694216i −0.504571 0.863370i \(-0.668349\pi\)
0.360415 + 0.932792i \(0.382635\pi\)
\(318\) 85958.7 41395.5i 0.0476675 0.0229554i
\(319\) 132819. + 166550.i 0.0730777 + 0.0916365i
\(320\) 754207. + 3.30440e6i 0.411733 + 1.80392i
\(321\) 339148. 1.48590e6i 0.183707 0.804875i
\(322\) −36662.4 45973.2i −0.0197052 0.0247096i
\(323\) −2.05902e6 2.58193e6i −1.09813 1.37701i
\(324\) 152013. 666013.i 0.0804486 0.352468i
\(325\) −855599. 3.74862e6i −0.449326 1.96863i
\(326\) 98102.4 + 123017.i 0.0511253 + 0.0641091i
\(327\) 790738. 380799.i 0.408943 0.196937i
\(328\) −189825. + 91414.8i −0.0974246 + 0.0469172i
\(329\) 86267.3 + 377962.i 0.0439396 + 0.192512i
\(330\) 13593.8 17046.1i 0.00687158 0.00861668i
\(331\) 3.05779e6 + 1.47255e6i 1.53404 + 0.738756i 0.994650 0.103299i \(-0.0329399\pi\)
0.539392 + 0.842055i \(0.318654\pi\)
\(332\) 597920. 749768.i 0.297713 0.373320i
\(333\) −45321.5 + 198567.i −0.0223972 + 0.0981286i
\(334\) −625.951 + 301.442i −0.000307025 + 0.000147856i
\(335\) 289750. 1.26948e6i 0.141063 0.618035i
\(336\) 386886. + 186315.i 0.186954 + 0.0900324i
\(337\) −2.67773e6 −1.28438 −0.642188 0.766547i \(-0.721973\pi\)
−0.642188 + 0.766547i \(0.721973\pi\)
\(338\) 60201.5 0.0286626
\(339\) 703812. + 338938.i 0.332627 + 0.160185i
\(340\) 1.49242e6 + 6.53873e6i 0.700156 + 3.06758i
\(341\) 260882. + 327136.i 0.121495 + 0.152350i
\(342\) −76856.9 + 96375.5i −0.0355318 + 0.0445555i
\(343\) 1.72939e6 0.793700
\(344\) −297036. 70319.8i −0.135336 0.0320392i
\(345\) −2.08497e6 −0.943088
\(346\) −29266.9 + 36699.6i −0.0131428 + 0.0164805i
\(347\) −1.33009e6 1.66788e6i −0.593004 0.743603i 0.391266 0.920278i \(-0.372037\pi\)
−0.984269 + 0.176675i \(0.943466\pi\)
\(348\) −162438. 711686.i −0.0719016 0.315022i
\(349\) 2.04605e6 + 985325.i 0.899192 + 0.433028i 0.825597 0.564260i \(-0.190839\pi\)
0.0735948 + 0.997288i \(0.476553\pi\)
\(350\) 184641. 0.0805672
\(351\) −1.50309e6 −0.651206
\(352\) −75307.3 36266.1i −0.0323952 0.0156007i
\(353\) −222875. + 976479.i −0.0951973 + 0.417087i −0.999961 0.00882716i \(-0.997190\pi\)
0.904764 + 0.425914i \(0.140047\pi\)
\(354\) −96368.0 + 46408.4i −0.0408719 + 0.0196829i
\(355\) 757961. 3.32085e6i 0.319210 1.39855i
\(356\) −1.00470e6 + 1.25985e6i −0.420155 + 0.526858i
\(357\) 758001. + 365034.i 0.314774 + 0.151587i
\(358\) 67427.1 84550.9i 0.0278053 0.0348667i
\(359\) −489659. 2.14533e6i −0.200520 0.878535i −0.970621 0.240613i \(-0.922652\pi\)
0.770101 0.637922i \(-0.220206\pi\)
\(360\) 452212. 217774.i 0.183902 0.0885624i
\(361\) −282928. + 136251.i −0.114264 + 0.0550265i
\(362\) 14013.9 + 17572.9i 0.00562067 + 0.00704810i
\(363\) 259805. + 1.13828e6i 0.103486 + 0.453402i
\(364\) −188658. + 826566.i −0.0746315 + 0.326982i
\(365\) 1.92543e6 + 2.41441e6i 0.756477 + 0.948592i
\(366\) 49348.1 + 61880.6i 0.0192561 + 0.0241464i
\(367\) −28543.6 + 125057.i −0.0110622 + 0.0484668i −0.980158 0.198219i \(-0.936484\pi\)
0.969096 + 0.246686i \(0.0793415\pi\)
\(368\) 588055. + 2.57644e6i 0.226359 + 0.991745i
\(369\) −976513. 1.22451e6i −0.373347 0.468162i
\(370\) −41189.0 + 19835.6i −0.0156414 + 0.00753252i
\(371\) 1.66087e6 799834.i 0.626472 0.301693i
\(372\) −319058. 1.39788e6i −0.119540 0.523738i
\(373\) −2.33278e6 + 2.92521e6i −0.868163 + 1.08864i 0.127145 + 0.991884i \(0.459419\pi\)
−0.995308 + 0.0967574i \(0.969153\pi\)
\(374\) −48781.5 23491.9i −0.0180333 0.00868439i
\(375\) 2.53074e6 3.17345e6i 0.929330 1.16534i
\(376\) −38142.1 + 167111.i −0.0139134 + 0.0609588i
\(377\) 1.29217e6 622278.i 0.468239 0.225492i
\(378\) 16061.5 70370.0i 0.00578171 0.0253313i
\(379\) 2.70165e6 + 1.30104e6i 0.966118 + 0.465258i 0.849309 0.527896i \(-0.177019\pi\)
0.116810 + 0.993154i \(0.462733\pi\)
\(380\) 5.66648e6 2.01305
\(381\) 1.46439e6 0.516824
\(382\) −301557. 145222.i −0.105733 0.0509183i
\(383\) 137537. + 602588.i 0.0479095 + 0.209905i 0.993217 0.116275i \(-0.0370954\pi\)
−0.945308 + 0.326180i \(0.894238\pi\)
\(384\) 237915. + 298336.i 0.0823368 + 0.103247i
\(385\) 262656. 329360.i 0.0903100 0.113245i
\(386\) 12997.5 0.00444009
\(387\) 18286.2 2.26904e6i 0.00620650 0.770132i
\(388\) −1.84067e6 −0.620722
\(389\) 531456. 666425.i 0.178071 0.223294i −0.684783 0.728747i \(-0.740103\pi\)
0.862854 + 0.505453i \(0.168674\pi\)
\(390\) −91521.0 114764.i −0.0304691 0.0382070i
\(391\) 1.15214e6 + 5.04784e6i 0.381121 + 1.66980i
\(392\) 307682. + 148172.i 0.101132 + 0.0487024i
\(393\) −2.64161e6 −0.862756
\(394\) 219881. 0.0713586
\(395\) −78997.6 38043.2i −0.0254754 0.0122683i
\(396\) 92100.1 403517.i 0.0295136 0.129308i
\(397\) 2.35420e6 1.13372e6i 0.749666 0.361020i −0.0197191 0.999806i \(-0.506277\pi\)
0.769385 + 0.638786i \(0.220563\pi\)
\(398\) 55650.7 243822.i 0.0176102 0.0771551i
\(399\) 443182. 555732.i 0.139364 0.174757i
\(400\) −7.47641e6 3.60045e6i −2.33638 1.12514i
\(401\) −2.85740e6 + 3.58307e6i −0.887382 + 1.11274i 0.105592 + 0.994410i \(0.466326\pi\)
−0.992974 + 0.118332i \(0.962245\pi\)
\(402\) −8015.52 35118.3i −0.00247381 0.0108385i
\(403\) 2.53807e6 1.22227e6i 0.778469 0.374891i
\(404\) 2.05275e6 988552.i 0.625723 0.301333i
\(405\) 1.42486e6 + 1.78672e6i 0.431653 + 0.541275i
\(406\) 15325.4 + 67144.9i 0.00461420 + 0.0202161i
\(407\) −16818.5 + 73686.9i −0.00503272 + 0.0220498i
\(408\) 231925. + 290825.i 0.0689759 + 0.0864930i
\(409\) 424058. + 531752.i 0.125348 + 0.157181i 0.840545 0.541741i \(-0.182235\pi\)
−0.715197 + 0.698922i \(0.753663\pi\)
\(410\) 78227.2 342736.i 0.0229825 0.100693i
\(411\) 291680. + 1.27793e6i 0.0851729 + 0.373167i
\(412\) −3.54277e6 4.44249e6i −1.02825 1.28939i
\(413\) −1.86200e6 + 896690.i −0.537160 + 0.258683i
\(414\) 174127. 83855.0i 0.0499304 0.0240452i
\(415\) 713866. + 3.12765e6i 0.203468 + 0.891453i
\(416\) −350862. + 439967.i −0.0994038 + 0.124648i
\(417\) −1.10911e6 534117.i −0.312344 0.150417i
\(418\) −28521.1 + 35764.4i −0.00798411 + 0.0100118i
\(419\) −546282. + 2.39342e6i −0.152013 + 0.666014i 0.840285 + 0.542145i \(0.182388\pi\)
−0.992299 + 0.123869i \(0.960470\pi\)
\(420\) −1.30062e6 + 626348.i −0.359773 + 0.173258i
\(421\) −1.00971e6 + 4.42384e6i −0.277647 + 1.21645i 0.623113 + 0.782132i \(0.285868\pi\)
−0.900760 + 0.434317i \(0.856990\pi\)
\(422\) −240214. 115681.i −0.0656624 0.0316213i
\(423\) −1.27420e6 −0.346249
\(424\) 815050. 0.220176
\(425\) −1.46480e7 7.05413e6i −3.93376 1.89440i
\(426\) −20967.9 91866.5i −0.00559798 0.0245264i
\(427\) 953492. + 1.19564e6i 0.253074 + 0.317345i
\(428\) 4.04914e6 5.07747e6i 1.06845 1.33979i
\(429\) −242682. −0.0636640
\(430\) 400752. 314339.i 0.104521 0.0819837i
\(431\) 1.52359e6 0.395071 0.197536 0.980296i \(-0.436706\pi\)
0.197536 + 0.980296i \(0.436706\pi\)
\(432\) −2.02255e6 + 2.53620e6i −0.521423 + 0.653843i
\(433\) −1.88917e6 2.36895e6i −0.484231 0.607206i 0.478361 0.878164i \(-0.341231\pi\)
−0.962591 + 0.270957i \(0.912660\pi\)
\(434\) 30101.9 + 131885.i 0.00767131 + 0.0336102i
\(435\) 2.20018e6 + 1.05955e6i 0.557488 + 0.268472i
\(436\) 3.73971e6 0.942155
\(437\) 4.37448e6 1.09578
\(438\) 76969.1 + 37066.4i 0.0191704 + 0.00923198i
\(439\) 1.01851e6 4.46240e6i 0.252235 1.10511i −0.677104 0.735887i \(-0.736765\pi\)
0.929339 0.369227i \(-0.120377\pi\)
\(440\) 167813. 80814.6i 0.0413232 0.0199002i
\(441\) −564896. + 2.47497e6i −0.138316 + 0.606002i
\(442\) −227276. + 284995.i −0.0553348 + 0.0693876i
\(443\) −1.74982e6 842669.i −0.423628 0.204008i 0.209909 0.977721i \(-0.432683\pi\)
−0.633537 + 0.773713i \(0.718397\pi\)
\(444\) 161485. 202495.i 0.0388753 0.0487481i
\(445\) −1.19952e6 5.25545e6i −0.287150 1.25809i
\(446\) −57719.6 + 27796.3i −0.0137400 + 0.00661683i
\(447\) 103259. 49727.0i 0.0244433 0.0117713i
\(448\) 1.12954e6 + 1.41640e6i 0.265894 + 0.333420i
\(449\) −681280. 2.98488e6i −0.159481 0.698733i −0.989921 0.141624i \(-0.954768\pi\)
0.830439 0.557109i \(-0.188090\pi\)
\(450\) −135040. + 591650.i −0.0314363 + 0.137732i
\(451\) −362378. 454408.i −0.0838921 0.105197i
\(452\) 2.07535e6 + 2.60241e6i 0.477799 + 0.599141i
\(453\) −644149. + 2.82220e6i −0.147483 + 0.646163i
\(454\) −5320.03 23308.6i −0.00121136 0.00530733i
\(455\) −1.76834e6 2.21743e6i −0.400441 0.502137i
\(456\) 283153. 136359.i 0.0637688 0.0307094i
\(457\) 5.09706e6 2.45462e6i 1.14164 0.549785i 0.235129 0.971964i \(-0.424449\pi\)
0.906513 + 0.422179i \(0.138735\pi\)
\(458\) −24814.0 108717.i −0.00552755 0.0242178i
\(459\) −3.96265e6 + 4.96901e6i −0.877918 + 1.10087i
\(460\) −8.00434e6 3.85469e6i −1.76372 0.849365i
\(461\) −391509. + 490936.i −0.0858003 + 0.107590i −0.822879 0.568217i \(-0.807633\pi\)
0.737078 + 0.675807i \(0.236205\pi\)
\(462\) 2593.21 11361.6i 0.000565239 0.00247648i
\(463\) 5.59321e6 2.69355e6i 1.21258 0.583946i 0.285341 0.958426i \(-0.407893\pi\)
0.927235 + 0.374480i \(0.122179\pi\)
\(464\) 688757. 3.01764e6i 0.148515 0.650688i
\(465\) 4.32156e6 + 2.08116e6i 0.926848 + 0.446347i
\(466\) −460620. −0.0982602
\(467\) 861559. 0.182807 0.0914035 0.995814i \(-0.470865\pi\)
0.0914035 + 0.995814i \(0.470865\pi\)
\(468\) −2.51061e6 1.20904e6i −0.529863 0.255169i
\(469\) −154874. 678547.i −0.0325122 0.142445i
\(470\) −178323. 223609.i −0.0372359 0.0466923i
\(471\) −336836. + 422378.i −0.0699626 + 0.0877303i
\(472\) −913750. −0.188787
\(473\) 6785.91 842028.i 0.00139462 0.173051i
\(474\) −2425.56 −0.000495869
\(475\) −8.56430e6 + 1.07393e7i −1.74164 + 2.18394i
\(476\) 2.23514e6 + 2.80278e6i 0.452155 + 0.566985i
\(477\) 1.34822e6 + 5.90694e6i 0.271310 + 1.18868i
\(478\) 69525.6 + 33481.8i 0.0139179 + 0.00670252i
\(479\) −9.15332e6 −1.82280 −0.911402 0.411517i \(-0.864999\pi\)
−0.911402 + 0.411517i \(0.864999\pi\)
\(480\) −958173. −0.189820
\(481\) 458466. + 220785.i 0.0903533 + 0.0435119i
\(482\) 75730.2 331796.i 0.0148474 0.0650509i
\(483\) −1.00407e6 + 483535.i −0.195838 + 0.0943106i
\(484\) −1.10704e6 + 4.85026e6i −0.214808 + 0.941135i
\(485\) 3.83918e6 4.81418e6i 0.741113 0.929326i
\(486\) 334488. + 161081.i 0.0642378 + 0.0309353i
\(487\) −4.75509e6 + 5.96270e6i −0.908524 + 1.13925i 0.0812616 + 0.996693i \(0.474105\pi\)
−0.989786 + 0.142561i \(0.954466\pi\)
\(488\) 150458. + 659202.i 0.0286001 + 0.125305i
\(489\) 2.68672e6 1.29386e6i 0.508102 0.244689i
\(490\) −513388. + 247235.i −0.0965952 + 0.0465178i
\(491\) −828998. 1.03953e6i −0.155185 0.194596i 0.698161 0.715941i \(-0.254002\pi\)
−0.853346 + 0.521345i \(0.825431\pi\)
\(492\) 443188. + 1.94173e6i 0.0825420 + 0.361640i
\(493\) 1.34944e6 5.91227e6i 0.250055 1.09556i
\(494\) 192020. + 240785.i 0.0354021 + 0.0443928i
\(495\) 863279. + 1.08252e6i 0.158357 + 0.198574i
\(496\) 1.35285e6 5.92721e6i 0.246913 1.08180i
\(497\) −405137. 1.77502e6i −0.0735717 0.322339i
\(498\) 55332.9 + 69385.3i 0.00999793 + 0.0125370i
\(499\) 5.57571e6 2.68512e6i 1.00242 0.482739i 0.140659 0.990058i \(-0.455078\pi\)
0.861758 + 0.507320i \(0.169364\pi\)
\(500\) 1.55827e7 7.50425e6i 2.78753 1.34240i
\(501\) 2929.98 + 12837.1i 0.000521519 + 0.00228492i
\(502\) 412502. 517261.i 0.0730578 0.0916116i
\(503\) 2.34018e6 + 1.12697e6i 0.412410 + 0.198606i 0.628572 0.777751i \(-0.283640\pi\)
−0.216162 + 0.976357i \(0.569354\pi\)
\(504\) 167269. 209749.i 0.0293319 0.0367810i
\(505\) −1.69601e6 + 7.43072e6i −0.295938 + 1.29659i
\(506\) 64617.4 31118.1i 0.0112195 0.00540302i
\(507\) 253887. 1.11235e6i 0.0438653 0.192186i
\(508\) 5.62187e6 + 2.70735e6i 0.966543 + 0.465463i
\(509\) −5.79574e6 −0.991550 −0.495775 0.868451i \(-0.665116\pi\)
−0.495775 + 0.868451i \(0.665116\pi\)
\(510\) −620671. −0.105666
\(511\) 1.48718e6 + 716187.i 0.251948 + 0.121332i
\(512\) 451145. + 1.97660e6i 0.0760574 + 0.333229i
\(513\) 3.34794e6 + 4.19819e6i 0.561675 + 0.704318i
\(514\) 433071. 543054.i 0.0723022 0.0906641i
\(515\) 1.90084e7 3.15812
\(516\) −1.27289e6 + 2.58959e6i −0.210459 + 0.428161i
\(517\) −472850. −0.0778031
\(518\) −15235.5 + 19104.7i −0.00249477 + 0.00312835i
\(519\) 554677. + 695543.i 0.0903903 + 0.113346i
\(520\) −279040. 1.22255e6i −0.0452541 0.198271i
\(521\) 8.72130e6 + 4.19995e6i 1.40762 + 0.677876i 0.974692 0.223551i \(-0.0717648\pi\)
0.432932 + 0.901427i \(0.357479\pi\)
\(522\) −226362. −0.0363603
\(523\) −3.77228e6 −0.603045 −0.301523 0.953459i \(-0.597495\pi\)
−0.301523 + 0.953459i \(0.597495\pi\)
\(524\) −1.01413e7 4.88380e6i −1.61349 0.777016i
\(525\) 778686. 3.41164e6i 0.123300 0.540214i
\(526\) 440262. 212019.i 0.0693820 0.0334126i
\(527\) 2.65055e6 1.16128e7i 0.415728 1.82142i
\(528\) −326551. + 409482.i −0.0509760 + 0.0639219i
\(529\) −380336. 183160.i −0.0590920 0.0284572i
\(530\) −847925. + 1.06326e6i −0.131120 + 0.164419i
\(531\) −1.51148e6 6.62225e6i −0.232631 1.01922i
\(532\) 2.72884e6 1.31414e6i 0.418022 0.201309i
\(533\) −3.52551e6 + 1.69780e6i −0.537532 + 0.258862i
\(534\) −92976.9 116589.i −0.0141098 0.0176932i
\(535\) 4.83434e6 + 2.11806e7i 0.730218 + 3.19930i
\(536\) 68475.7 300012.i 0.0102950 0.0451051i
\(537\) −1.27790e6 1.60244e6i −0.191232 0.239798i
\(538\) 254780. + 319484.i 0.0379498 + 0.0475875i
\(539\) −209630. + 918448.i −0.0310800 + 0.136170i
\(540\) −2.42666e6 1.06319e7i −0.358117 1.56901i
\(541\) −3.34093e6 4.18940e6i −0.490766 0.615401i 0.473353 0.880873i \(-0.343044\pi\)
−0.964119 + 0.265472i \(0.914472\pi\)
\(542\) −172020. + 82840.6i −0.0251525 + 0.0121128i
\(543\) 383798. 184827.i 0.0558603 0.0269009i
\(544\) 529478. + 2.31980e6i 0.0767098 + 0.336088i
\(545\) −7.80010e6 + 9.78102e6i −1.12489 + 1.41056i
\(546\) −70689.6 34042.3i −0.0101478 0.00488695i
\(547\) −195691. + 245389.i −0.0279642 + 0.0350661i −0.795617 0.605800i \(-0.792853\pi\)
0.767653 + 0.640866i \(0.221425\pi\)
\(548\) −1.24286e6 + 5.44532e6i −0.176795 + 0.774590i
\(549\) −4.52857e6 + 2.18084e6i −0.641254 + 0.308812i
\(550\) −50112.6 + 219558.i −0.00706383 + 0.0309487i
\(551\) −4.61619e6 2.22304e6i −0.647747 0.311938i
\(552\) −492734. −0.0688280
\(553\) −46866.1 −0.00651697
\(554\) 629803. + 303297.i 0.0871828 + 0.0419850i
\(555\) 192799. + 844708.i 0.0265688 + 0.116406i
\(556\) −3.27045e6 4.10102e6i −0.448664 0.562606i
\(557\) 1.77673e6 2.22795e6i 0.242652 0.304276i −0.645560 0.763709i \(-0.723376\pi\)
0.888212 + 0.459433i \(0.151947\pi\)
\(558\) −444618. −0.0604507
\(559\) −5.51669e6 1.30601e6i −0.746705 0.176774i
\(560\) −6.12099e6 −0.824805
\(561\) −639790. + 802271.i −0.0858282 + 0.107625i
\(562\) −597440. 749165.i −0.0797909 0.100055i
\(563\) 316366. + 1.38609e6i 0.0420648 + 0.184298i 0.991596 0.129376i \(-0.0412973\pi\)
−0.949531 + 0.313674i \(0.898440\pi\)
\(564\) 1.45988e6 + 703041.i 0.193250 + 0.0930643i
\(565\) −1.11351e7 −1.46749
\(566\) −490582. −0.0643681
\(567\) 1.10054e6 + 529994.i 0.143764 + 0.0692330i
\(568\) 179126. 784804.i 0.0232964 0.102068i
\(569\) −765488. + 368640.i −0.0991192 + 0.0477333i −0.482786 0.875738i \(-0.660375\pi\)
0.383667 + 0.923471i \(0.374661\pi\)
\(570\) −116688. + 511242.i −0.0150431 + 0.0659082i
\(571\) 3.85619e6 4.83551e6i 0.494958 0.620658i −0.470126 0.882600i \(-0.655791\pi\)
0.965084 + 0.261942i \(0.0843628\pi\)
\(572\) −931671. 448669.i −0.119062 0.0573372i
\(573\) −3.95504e6 + 4.95947e6i −0.503228 + 0.631028i
\(574\) −41813.1 183195.i −0.00529703 0.0232078i
\(575\) 1.94032e7 9.34411e6i 2.44740 1.17861i
\(576\) −5.36473e6 + 2.58352e6i −0.673739 + 0.324455i
\(577\) 4.43200e6 + 5.55755e6i 0.554192 + 0.694935i 0.977472 0.211064i \(-0.0676928\pi\)
−0.423280 + 0.905999i \(0.639121\pi\)
\(578\) 218391. + 956834.i 0.0271904 + 0.119129i
\(579\) 54814.3 240157.i 0.00679512 0.0297714i
\(580\) 6.48774e6 + 8.13537e6i 0.800799 + 1.00417i
\(581\) 1.06913e6 + 1.34064e6i 0.131398 + 0.164768i
\(582\) 37904.3 166070.i 0.00463854 0.0203228i
\(583\) 500317. + 2.19203e6i 0.0609640 + 0.267101i
\(584\) 455031. + 570590.i 0.0552088 + 0.0692297i
\(585\) 8.39868e6 4.04459e6i 1.01466 0.488635i
\(586\) 280392. 135030.i 0.0337304 0.0162437i
\(587\) −1.56466e6 6.85524e6i −0.187424 0.821159i −0.977968 0.208754i \(-0.933059\pi\)
0.790544 0.612405i \(-0.209798\pi\)
\(588\) 2.01278e6 2.52394e6i 0.240078 0.301048i
\(589\) −9.06707e6 4.36647e6i −1.07691 0.518612i
\(590\) 950605. 1.19202e6i 0.112427 0.140979i
\(591\) 927301. 4.06277e6i 0.109207 0.478469i
\(592\) 989443. 476491.i 0.116034 0.0558792i
\(593\) 1.88390e6 8.25392e6i 0.220000 0.963882i −0.737477 0.675372i \(-0.763983\pi\)
0.957477 0.288510i \(-0.0931597\pi\)
\(594\) 79318.2 + 38197.6i 0.00922373 + 0.00444191i
\(595\) −1.19925e7 −1.38872
\(596\) 488354. 0.0563143
\(597\) −4.27044e6 2.05653e6i −0.490384 0.236157i
\(598\) −107446. 470752.i −0.0122868 0.0538318i
\(599\) 3.20096e6 + 4.01388e6i 0.364513 + 0.457085i 0.929939 0.367714i \(-0.119860\pi\)
−0.565426 + 0.824799i \(0.691288\pi\)
\(600\) 964670. 1.20966e6i 0.109396 0.137178i
\(601\) −472103. −0.0533152 −0.0266576 0.999645i \(-0.508486\pi\)
−0.0266576 + 0.999645i \(0.508486\pi\)
\(602\) 120093. 244318.i 0.0135059 0.0274767i
\(603\) 2.28755e6 0.256199
\(604\) −7.69060e6 + 9.64370e6i −0.857764 + 1.07560i
\(605\) −1.03766e7 1.30118e7i −1.15257 1.44527i
\(606\) 46917.8 + 205560.i 0.00518987 + 0.0227383i
\(607\) −1.18581e7 5.71054e6i −1.30630 0.629080i −0.354285 0.935138i \(-0.615276\pi\)
−0.952013 + 0.306058i \(0.900990\pi\)
\(608\) 2.01034e6 0.220552
\(609\) 1.30528e6 0.142613
\(610\) −1.01648e6 489511.i −0.110605 0.0532645i
\(611\) −708392. + 3.10367e6i −0.0767663 + 0.336335i
\(612\) −1.06157e7 + 5.11226e6i −1.14570 + 0.551740i
\(613\) 3.40150e6 1.49029e7i 0.365611 1.60184i −0.373079 0.927799i \(-0.621698\pi\)
0.738690 0.674045i \(-0.235445\pi\)
\(614\) 316479. 396852.i 0.0338784 0.0424822i
\(615\) −6.00288e6 2.89083e6i −0.639988 0.308202i
\(616\) 62072.6 77836.6i 0.00659096 0.00826480i
\(617\) 264651. + 1.15951e6i 0.0279872 + 0.122620i 0.986992 0.160770i \(-0.0513979\pi\)
−0.959005 + 0.283391i \(0.908541\pi\)
\(618\) 473766. 228154.i 0.0498991 0.0240302i
\(619\) 1.46168e7 7.03907e6i 1.53329 0.738395i 0.538725 0.842482i \(-0.318906\pi\)
0.994568 + 0.104086i \(0.0331918\pi\)
\(620\) 1.27431e7 + 1.59794e7i 1.33136 + 1.66948i
\(621\) −1.87336e6 8.20774e6i −0.194936 0.854072i
\(622\) −4678.59 + 20498.2i −0.000484885 + 0.00212442i
\(623\) −1.79648e6 2.25271e6i −0.185439 0.232533i
\(624\) 2.19852e6 + 2.75686e6i 0.226031 + 0.283434i
\(625\) −7.15635e6 + 3.13540e7i −0.732810 + 3.21065i
\(626\) 82831.2 + 362907.i 0.00844808 + 0.0370135i
\(627\) 540542. + 677819.i 0.0549112 + 0.0688565i
\(628\) −2.07402e6 + 998797.i −0.209853 + 0.101060i
\(629\) 1.93855e6 933557.i 0.195367 0.0940837i
\(630\) 99609.6 + 436418.i 0.00999884 + 0.0438078i
\(631\) 601862. 754711.i 0.0601760 0.0754583i −0.750833 0.660493i \(-0.770348\pi\)
0.811009 + 0.585034i \(0.198919\pi\)
\(632\) −18669.2 8990.63i −0.00185923 0.000895360i
\(633\) −3.15051e6 + 3.95061e6i −0.312515 + 0.391882i
\(634\) 25118.6 110052.i 0.00248184 0.0108736i
\(635\) −1.88067e7 + 9.05684e6i −1.85088 + 0.891338i
\(636\) 1.71447e6 7.51157e6i 0.168069 0.736356i
\(637\) 5.71441e6 + 2.75191e6i 0.557985 + 0.268712i
\(638\) −84001.7 −0.00817027
\(639\) 5.98404e6 0.579752
\(640\) −4.90061e6 2.36001e6i −0.472934 0.227753i
\(641\) 1.32812e6 + 5.81886e6i 0.127671 + 0.559362i 0.997786 + 0.0665128i \(0.0211873\pi\)
−0.870115 + 0.492849i \(0.835956\pi\)
\(642\) 374718. + 469881.i 0.0358812 + 0.0449935i
\(643\) 8.72636e6 1.09425e7i 0.832349 1.04373i −0.165990 0.986127i \(-0.553082\pi\)
0.998339 0.0576054i \(-0.0183465\pi\)
\(644\) −4.74865e6 −0.451186
\(645\) −4.11801e6 8.73042e6i −0.389752 0.826296i
\(646\) 1.30223e6 0.122774
\(647\) −7.16370e6 + 8.98300e6i −0.672786 + 0.843647i −0.994668 0.103133i \(-0.967113\pi\)
0.321882 + 0.946780i \(0.395685\pi\)
\(648\) 336732. + 422249.i 0.0315027 + 0.0395031i
\(649\) −560903. 2.45748e6i −0.0522729 0.229022i
\(650\) 1.36605e6 + 657853.i 0.126818 + 0.0610725i
\(651\) 2.56381e6 0.237101
\(652\) 1.27066e7 1.17060
\(653\) 8.77341e6 + 4.22505e6i 0.805166 + 0.387748i 0.790743 0.612148i \(-0.209695\pi\)
0.0144232 + 0.999896i \(0.495409\pi\)
\(654\) −77010.5 + 337405.i −0.00704053 + 0.0308466i
\(655\) 3.39256e7 1.63377e7i 3.08975 1.48795i
\(656\) −1.87917e6 + 8.23320e6i −0.170493 + 0.746980i
\(657\) −3.38257e6 + 4.24160e6i −0.305726 + 0.383369i
\(658\) −137734. 66329.2i −0.0124016 0.00597228i
\(659\) 3.81578e6 4.78484e6i 0.342271 0.429194i −0.580668 0.814140i \(-0.697209\pi\)
0.922939 + 0.384946i \(0.125780\pi\)
\(660\) −391797. 1.71657e6i −0.0350107 0.153392i
\(661\) −1.54449e6 + 743785.i −0.137493 + 0.0662131i −0.501365 0.865236i \(-0.667169\pi\)
0.363872 + 0.931449i \(0.381454\pi\)
\(662\) −1.20577e6 + 580667.i −0.106935 + 0.0514970i
\(663\) 4.30742e6 + 5.40133e6i 0.380569 + 0.477218i
\(664\) 168706. + 739148.i 0.0148494 + 0.0650595i
\(665\) −2.25461e6 + 9.87809e6i −0.197705 + 0.866201i
\(666\) −50074.8 62791.8i −0.00437455 0.00548551i
\(667\) 5.00848e6 + 6.28043e6i 0.435904 + 0.546607i
\(668\) −12484.8 + 54699.3i −0.00108253 + 0.00474286i
\(669\) 270176. + 1.18372e6i 0.0233390 + 0.102255i
\(670\) 320139. + 401441.i 0.0275519 + 0.0345490i
\(671\) −1.68053e6 + 809299.i −0.144092 + 0.0693909i
\(672\) −461433. + 222214.i −0.0394172 + 0.0189823i
\(673\) −2.12092e6 9.29234e6i −0.180504 0.790838i −0.981391 0.192022i \(-0.938495\pi\)
0.800887 0.598815i \(-0.204362\pi\)
\(674\) 658343. 825537.i 0.0558217 0.0699982i
\(675\) 2.38176e7 + 1.14699e7i 2.01205 + 0.968950i
\(676\) 3.03120e6 3.80101e6i 0.255122 0.319913i
\(677\) 1.77734e6 7.78701e6i 0.149038 0.652979i −0.844115 0.536162i \(-0.819874\pi\)
0.993153 0.116817i \(-0.0372692\pi\)
\(678\) −277532. + 133652.i −0.0231867 + 0.0111661i
\(679\) 732377. 3.20875e6i 0.0609621 0.267093i
\(680\) −4.77723e6 2.30059e6i −0.396190 0.190795i
\(681\) −453113. −0.0374402
\(682\) −164995. −0.0135834
\(683\) −1.32092e7 6.36122e6i −1.08349 0.521782i −0.195060 0.980791i \(-0.562490\pi\)
−0.888431 + 0.459009i \(0.848204\pi\)
\(684\) 2.21515e6 + 9.70519e6i 0.181035 + 0.793166i
\(685\) −1.16496e7 1.46082e7i −0.948606 1.18951i
\(686\) −425184. + 533164.i −0.0344959 + 0.0432565i
\(687\) −2.11343e6 −0.170843
\(688\) −9.62687e6 + 7.55106e6i −0.775379 + 0.608187i
\(689\) 1.51375e7 1.21480
\(690\) 512608. 642791.i 0.0409886 0.0513981i
\(691\) −1.08181e7 1.35654e7i −0.861895 1.08078i −0.995959 0.0898099i \(-0.971374\pi\)
0.134064 0.990973i \(-0.457197\pi\)
\(692\) 843523. + 3.69572e6i 0.0669625 + 0.293382i
\(693\) 666786. + 321107.i 0.0527416 + 0.0253990i
\(694\) 841217. 0.0662994
\(695\) 1.75473e7 1.37800
\(696\) 519961. + 250400.i 0.0406863 + 0.0195935i
\(697\) −3.68175e6 + 1.61308e7i −0.287059 + 1.25769i
\(698\) −806812. + 388540.i −0.0626807 + 0.0301854i
\(699\) −1.94257e6 + 8.51095e6i −0.150378 + 0.658848i
\(700\) 9.29686e6 1.16579e7i 0.717119 0.899238i
\(701\) −1.67899e7 8.08561e6i −1.29049 0.621467i −0.342425 0.939545i \(-0.611248\pi\)
−0.948064 + 0.318079i \(0.896962\pi\)
\(702\) 369549. 463399.i 0.0283028 0.0354905i
\(703\) −404511. 1.77228e6i −0.0308704 0.135252i
\(704\) −1.99082e6 + 958728.i −0.151391 + 0.0729061i
\(705\) −4.88371e6 + 2.35187e6i −0.370064 + 0.178213i
\(706\) −246250. 308788.i −0.0185936 0.0233157i
\(707\) 906534. + 3.97178e6i 0.0682080 + 0.298839i
\(708\) −1.92208e6 + 8.42119e6i −0.144108 + 0.631380i
\(709\) 1.07396e7 + 1.34670e7i 0.802365 + 1.00613i 0.999667 + 0.0257911i \(0.00821047\pi\)
−0.197302 + 0.980343i \(0.563218\pi\)
\(710\) 837456. + 1.05014e6i 0.0623470 + 0.0781807i
\(711\) 34276.3 150174.i 0.00254284 0.0111409i
\(712\) −283479. 1.24200e6i −0.0209566 0.0918169i
\(713\) 9.83759e6 + 1.23359e7i 0.724711 + 0.908759i
\(714\) −298900. + 143943.i −0.0219422 + 0.0105668i
\(715\) 3.11670e6 1.50092e6i 0.227998 0.109798i
\(716\) −1.94337e6 8.51444e6i −0.141668 0.620688i
\(717\) 911857. 1.14343e6i 0.0662413 0.0830640i
\(718\) 781787. + 376489.i 0.0565949 + 0.0272547i
\(719\) 1.15209e7 1.44468e7i 0.831123 1.04219i −0.167292 0.985907i \(-0.553502\pi\)
0.998415 0.0562875i \(-0.0179263\pi\)
\(720\) 4.47668e6 1.96136e7i 0.321829 1.41002i
\(721\) 9.15399e6 4.40833e6i 0.655801 0.315817i
\(722\) 27554.6 120724.i 0.00196721 0.00861890i
\(723\) −5.81127e6 2.79856e6i −0.413452 0.199108i
\(724\) 1.81513e6 0.128695
\(725\) −2.52239e7 −1.78225
\(726\) −414804. 199759.i −0.0292080 0.0140658i
\(727\) 2.67304e6 + 1.17114e7i 0.187573 + 0.821810i 0.977891 + 0.209114i \(0.0670579\pi\)
−0.790319 + 0.612696i \(0.790085\pi\)
\(728\) −417907. 524039.i −0.0292248 0.0366467i
\(729\) 1.13675e6 1.42544e6i 0.0792220 0.0993413i
\(730\) −1.21774e6 −0.0845761
\(731\) −1.88613e7 + 1.47943e7i −1.30550 + 1.02400i
\(732\) 6.39175e6 0.440902
\(733\) −932489. + 1.16930e6i −0.0641038 + 0.0803836i −0.812850 0.582474i \(-0.802085\pi\)
0.748746 + 0.662857i \(0.230656\pi\)
\(734\) −31537.2 39546.4i −0.00216064 0.00270936i
\(735\) 2.40309e6 + 1.05286e7i 0.164078 + 0.718874i
\(736\) −2.83976e6 1.36756e6i −0.193236 0.0930574i
\(737\) 848898. 0.0575687
\(738\) 617597. 0.0417411
\(739\) −1.88128e7 9.05976e6i −1.26719 0.610247i −0.325124 0.945671i \(-0.605406\pi\)
−0.942067 + 0.335424i \(0.891120\pi\)
\(740\) −821525. + 3.59933e6i −0.0551495 + 0.241626i
\(741\) 5.25884e6 2.53252e6i 0.351839 0.169437i
\(742\) −161753. + 708688.i −0.0107856 + 0.0472547i
\(743\) −1.55441e7 + 1.94917e7i −1.03299 + 1.29532i −0.0785485 + 0.996910i \(0.525029\pi\)
−0.954437 + 0.298413i \(0.903543\pi\)
\(744\) 1.02130e6 + 491833.i 0.0676428 + 0.0325750i
\(745\) −1.01858e6 + 1.27726e6i −0.0672366 + 0.0843120i
\(746\) −328300. 1.43838e6i −0.0215985 0.0946293i
\(747\) −5.07778e6 + 2.44533e6i −0.332945 + 0.160338i
\(748\) −3.93943e6 + 1.89713e6i −0.257442 + 0.123977i
\(749\) 7.24020e6 + 9.07892e6i 0.471570 + 0.591329i
\(750\) 356161. + 1.56044e6i 0.0231203 + 0.101296i
\(751\) 4.42340e6 1.93802e7i 0.286191 1.25388i −0.603515 0.797351i \(-0.706234\pi\)
0.889706 0.456533i \(-0.150909\pi\)
\(752\) 4.28367e6 + 5.37155e6i 0.276230 + 0.346382i
\(753\) −7.81788e6 9.80331e6i −0.502460 0.630065i
\(754\) −125846. + 551366.i −0.00806139 + 0.0353193i
\(755\) −9.18193e6 4.02287e7i −0.586228 2.56843i
\(756\) −3.63431e6 4.55729e6i −0.231269 0.290003i
\(757\) 370924. 178628.i 0.0235258 0.0113294i −0.422084 0.906557i \(-0.638701\pi\)
0.445610 + 0.895227i \(0.352987\pi\)
\(758\) −1.06533e6 + 513036.i −0.0673460 + 0.0324321i