Properties

Label 43.6.e.a.11.1
Level 43
Weight 6
Character 43.11
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 11.1
Character \(\chi\) \(=\) 43.11
Dual form 43.6.e.a.4.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-7.04063 - 8.82868i) q^{2} +(3.19853 - 4.01083i) q^{3} +(-21.2543 + 93.1212i) q^{4} +(78.2981 - 37.7064i) q^{5} -57.9300 q^{6} +141.803 q^{7} +(646.213 - 311.200i) q^{8} +(48.2164 + 211.250i) q^{9} +O(q^{10})\) \(q+(-7.04063 - 8.82868i) q^{2} +(3.19853 - 4.01083i) q^{3} +(-21.2543 + 93.1212i) q^{4} +(78.2981 - 37.7064i) q^{5} -57.9300 q^{6} +141.803 q^{7} +(646.213 - 311.200i) q^{8} +(48.2164 + 211.250i) q^{9} +(-884.165 - 425.791i) q^{10} +(53.0921 + 232.612i) q^{11} +(305.511 + 383.099i) q^{12} +(-64.9281 + 31.2677i) q^{13} +(-998.385 - 1251.93i) q^{14} +(99.2050 - 434.645i) q^{15} +(-4543.40 - 2187.99i) q^{16} +(962.411 + 463.473i) q^{17} +(1525.58 - 1913.02i) q^{18} +(56.0352 - 245.506i) q^{19} +(1847.09 + 8092.64i) q^{20} +(453.562 - 568.749i) q^{21} +(1679.85 - 2106.47i) q^{22} +(-485.658 - 2127.81i) q^{23} +(818.762 - 3587.23i) q^{24} +(2760.41 - 3461.45i) q^{25} +(733.188 + 353.084i) q^{26} +(2124.66 + 1023.18i) q^{27} +(-3013.93 + 13204.9i) q^{28} +(-2931.37 - 3675.82i) q^{29} +(-4535.81 + 2184.33i) q^{30} +(1293.01 + 1621.38i) q^{31} +(7564.16 + 33140.8i) q^{32} +(1102.78 + 531.072i) q^{33} +(-2684.13 - 11760.0i) q^{34} +(11102.9 - 5346.88i) q^{35} -20696.7 q^{36} -3879.77 q^{37} +(-2562.02 + 1233.80i) q^{38} +(-82.2650 + 360.427i) q^{39} +(38863.0 - 48732.7i) q^{40} +(4832.76 + 6060.09i) q^{41} -8214.67 q^{42} +(193.841 - 12123.2i) q^{43} -22789.5 q^{44} +(11740.7 + 14722.4i) q^{45} +(-15366.4 + 19268.8i) q^{46} +(15.4523 - 67.7008i) q^{47} +(-23307.9 + 11224.5i) q^{48} +3301.16 q^{49} -49995.0 q^{50} +(4937.22 - 2377.64i) q^{51} +(-1531.69 - 6710.76i) q^{52} +(-3403.91 - 1639.23i) q^{53} +(-5925.61 - 25961.8i) q^{54} +(12927.9 + 16211.1i) q^{55} +(91635.0 - 44129.1i) q^{56} +(-805.454 - 1010.01i) q^{57} +(-11813.9 + 51760.2i) q^{58} +(-21071.2 - 10147.3i) q^{59} +(38366.2 + 18476.2i) q^{60} +(-25825.0 + 32383.5i) q^{61} +(5211.06 - 22831.1i) q^{62} +(6837.24 + 29955.9i) q^{63} +(138720. - 173950. i) q^{64} +(-3904.75 + 4896.40i) q^{65} +(-3075.63 - 13475.2i) q^{66} +(-3046.95 + 13349.5i) q^{67} +(-63614.6 + 79770.1i) q^{68} +(-10087.7 - 4857.97i) q^{69} +(-125377. - 60378.6i) q^{70} +(5409.25 - 23699.5i) q^{71} +(96899.0 + 121507. i) q^{72} +(-4343.37 + 2091.66i) q^{73} +(27316.1 + 34253.3i) q^{74} +(-5054.02 - 22143.1i) q^{75} +(21670.8 + 10436.1i) q^{76} +(7528.63 + 32985.1i) q^{77} +(3761.29 - 1811.34i) q^{78} +30992.5 q^{79} -438241. q^{80} +(-36539.9 + 17596.7i) q^{81} +(19476.9 - 85333.8i) q^{82} +(8965.41 - 11242.3i) q^{83} +(43322.5 + 54324.6i) q^{84} +92830.8 q^{85} +(-108396. + 83643.3i) q^{86} -24119.2 q^{87} +(106697. + 133794. i) q^{88} +(51340.7 - 64379.2i) q^{89} +(47317.1 - 207310. i) q^{90} +(-9207.01 + 4433.86i) q^{91} +208466. q^{92} +10638.8 q^{93} +(-706.502 + 340.233i) q^{94} +(-4869.70 - 21335.5i) q^{95} +(157116. + 75663.2i) q^{96} +(-27892.5 - 122205. i) q^{97} +(-23242.2 - 29144.8i) q^{98} +(-46579.3 + 22431.4i) 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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −7.04063 8.82868i −1.24462 1.56070i −0.670385 0.742013i \(-0.733871\pi\)
−0.574235 0.818691i \(-0.694700\pi\)
\(3\) 3.19853 4.01083i 0.205186 0.257295i −0.668582 0.743639i \(-0.733098\pi\)
0.873768 + 0.486344i \(0.161670\pi\)
\(4\) −21.2543 + 93.1212i −0.664197 + 2.91004i
\(5\) 78.2981 37.7064i 1.40064 0.674512i 0.427347 0.904087i \(-0.359448\pi\)
0.973291 + 0.229576i \(0.0737338\pi\)
\(6\) −57.9300 −0.656940
\(7\) 141.803 1.09381 0.546904 0.837195i \(-0.315806\pi\)
0.546904 + 0.837195i \(0.315806\pi\)
\(8\) 646.213 311.200i 3.56985 1.71915i
\(9\) 48.2164 + 211.250i 0.198421 + 0.869341i
\(10\) −884.165 425.791i −2.79598 1.34647i
\(11\) 53.0921 + 232.612i 0.132296 + 0.579629i 0.997004 + 0.0773526i \(0.0246467\pi\)
−0.864707 + 0.502276i \(0.832496\pi\)
\(12\) 305.511 + 383.099i 0.612455 + 0.767994i
\(13\) −64.9281 + 31.2677i −0.106555 + 0.0513142i −0.486402 0.873735i \(-0.661691\pi\)
0.379847 + 0.925049i \(0.375977\pi\)
\(14\) −998.385 1251.93i −1.36138 1.70711i
\(15\) 99.2050 434.645i 0.113843 0.498778i
\(16\) −4543.40 2187.99i −4.43692 2.13671i
\(17\) 962.411 + 463.473i 0.807678 + 0.388957i 0.791696 0.610915i \(-0.209198\pi\)
0.0159820 + 0.999872i \(0.494913\pi\)
\(18\) 1525.58 1913.02i 1.10983 1.39168i
\(19\) 56.0352 245.506i 0.0356104 0.156019i −0.953997 0.299817i \(-0.903074\pi\)
0.989607 + 0.143798i \(0.0459315\pi\)
\(20\) 1847.09 + 8092.64i 1.03256 + 4.52392i
\(21\) 453.562 568.749i 0.224434 0.281431i
\(22\) 1679.85 2106.47i 0.739970 0.927893i
\(23\) −485.658 2127.81i −0.191431 0.838712i −0.975843 0.218473i \(-0.929893\pi\)
0.784413 0.620239i \(-0.212965\pi\)
\(24\) 818.762 3587.23i 0.290155 1.27125i
\(25\) 2760.41 3461.45i 0.883332 1.10766i
\(26\) 733.188 + 353.084i 0.212707 + 0.102434i
\(27\) 2124.66 + 1023.18i 0.560893 + 0.270112i
\(28\) −3013.93 + 13204.9i −0.726504 + 3.18302i
\(29\) −2931.37 3675.82i −0.647254 0.811631i 0.344635 0.938737i \(-0.388003\pi\)
−0.991889 + 0.127105i \(0.959431\pi\)
\(30\) −4535.81 + 2184.33i −0.920135 + 0.443114i
\(31\) 1293.01 + 1621.38i 0.241656 + 0.303027i 0.887838 0.460156i \(-0.152207\pi\)
−0.646182 + 0.763183i \(0.723635\pi\)
\(32\) 7564.16 + 33140.8i 1.30583 + 5.72121i
\(33\) 1102.78 + 531.072i 0.176281 + 0.0848924i
\(34\) −2684.13 11760.0i −0.398205 1.74465i
\(35\) 11102.9 5346.88i 1.53203 0.737786i
\(36\) −20696.7 −2.66161
\(37\) −3879.77 −0.465910 −0.232955 0.972487i \(-0.574840\pi\)
−0.232955 + 0.972487i \(0.574840\pi\)
\(38\) −2562.02 + 1233.80i −0.287821 + 0.138607i
\(39\) −82.2650 + 360.427i −0.00866071 + 0.0379451i
\(40\) 38863.0 48732.7i 3.84049 4.81582i
\(41\) 4832.76 + 6060.09i 0.448989 + 0.563015i 0.953888 0.300164i \(-0.0970415\pi\)
−0.504898 + 0.863179i \(0.668470\pi\)
\(42\) −8214.67 −0.718566
\(43\) 193.841 12123.2i 0.0159873 0.999872i
\(44\) −22789.5 −1.77461
\(45\) 11740.7 + 14722.4i 0.864298 + 1.08380i
\(46\) −15366.4 + 19268.8i −1.07072 + 1.34264i
\(47\) 15.4523 67.7008i 0.00102035 0.00447043i −0.974415 0.224756i \(-0.927842\pi\)
0.975436 + 0.220285i \(0.0706988\pi\)
\(48\) −23307.9 + 11224.5i −1.46016 + 0.703175i
\(49\) 3301.16 0.196416
\(50\) −49995.0 −2.82815
\(51\) 4937.22 2377.64i 0.265801 0.128003i
\(52\) −1531.69 6710.76i −0.0785528 0.344162i
\(53\) −3403.91 1639.23i −0.166452 0.0801589i 0.348803 0.937196i \(-0.386588\pi\)
−0.515254 + 0.857037i \(0.672303\pi\)
\(54\) −5925.61 25961.8i −0.276534 1.21157i
\(55\) 12927.9 + 16211.1i 0.576266 + 0.722615i
\(56\) 91635.0 44129.1i 3.90473 1.88042i
\(57\) −805.454 1010.01i −0.0328362 0.0411753i
\(58\) −11813.9 + 51760.2i −0.461131 + 2.02035i
\(59\) −21071.2 10147.3i −0.788058 0.379509i −0.00383885 0.999993i \(-0.501222\pi\)
−0.784219 + 0.620484i \(0.786936\pi\)
\(60\) 38366.2 + 18476.2i 1.37585 + 0.662574i
\(61\) −25825.0 + 32383.5i −0.888618 + 1.11429i 0.104188 + 0.994558i \(0.466776\pi\)
−0.992806 + 0.119734i \(0.961796\pi\)
\(62\) 5211.06 22831.1i 0.172166 0.754307i
\(63\) 6837.24 + 29955.9i 0.217035 + 0.950892i
\(64\) 138720. 173950.i 4.23341 5.30853i
\(65\) −3904.75 + 4896.40i −0.114633 + 0.143745i
\(66\) −3075.63 13475.2i −0.0869108 0.380781i
\(67\) −3046.95 + 13349.5i −0.0829235 + 0.363312i −0.999316 0.0369683i \(-0.988230\pi\)
0.916393 + 0.400280i \(0.131087\pi\)
\(68\) −63614.6 + 79770.1i −1.66834 + 2.09203i
\(69\) −10087.7 4857.97i −0.255075 0.122838i
\(70\) −125377. 60378.6i −3.05826 1.47278i
\(71\) 5409.25 23699.5i 0.127348 0.557947i −0.870488 0.492190i \(-0.836197\pi\)
0.997836 0.0657571i \(-0.0209462\pi\)
\(72\) 96899.0 + 121507.i 2.20286 + 2.76231i
\(73\) −4343.37 + 2091.66i −0.0953937 + 0.0459392i −0.480972 0.876736i \(-0.659716\pi\)
0.385578 + 0.922675i \(0.374002\pi\)
\(74\) 27316.1 + 34253.3i 0.579881 + 0.727148i
\(75\) −5054.02 22143.1i −0.103749 0.454554i
\(76\) 21670.8 + 10436.1i 0.430370 + 0.207255i
\(77\) 7528.63 + 32985.1i 0.144707 + 0.634002i
\(78\) 3761.29 1811.34i 0.0700003 0.0337104i
\(79\) 30992.5 0.558713 0.279356 0.960188i \(-0.409879\pi\)
0.279356 + 0.960188i \(0.409879\pi\)
\(80\) −438241. −7.65575
\(81\) −36539.9 + 17596.7i −0.618806 + 0.298001i
\(82\) 19476.9 85333.8i 0.319878 1.40148i
\(83\) 8965.41 11242.3i 0.142848 0.179126i −0.705260 0.708948i \(-0.749170\pi\)
0.848109 + 0.529822i \(0.177741\pi\)
\(84\) 43322.5 + 54324.6i 0.669908 + 0.840038i
\(85\) 92830.8 1.39362
\(86\) −108396. + 83643.3i −1.58040 + 1.21951i
\(87\) −24119.2 −0.341636
\(88\) 106697. + 133794.i 1.46875 + 1.84175i
\(89\) 51340.7 64379.2i 0.687048 0.861531i −0.308934 0.951083i \(-0.599972\pi\)
0.995982 + 0.0895527i \(0.0285437\pi\)
\(90\) 47317.1 207310.i 0.615761 2.69783i
\(91\) −9207.01 + 4433.86i −0.116551 + 0.0561279i
\(92\) 208466. 2.56783
\(93\) 10638.8 0.127552
\(94\) −706.502 + 340.233i −0.00824696 + 0.00397152i
\(95\) −4869.70 21335.5i −0.0553596 0.242546i
\(96\) 157116. + 75663.2i 1.73998 + 0.837928i
\(97\) −27892.5 122205.i −0.300994 1.31874i −0.868630 0.495461i \(-0.834999\pi\)
0.567636 0.823279i \(-0.307858\pi\)
\(98\) −23242.2 29144.8i −0.244463 0.306547i
\(99\) −46579.3 + 22431.4i −0.477645 + 0.230022i
\(100\) 263664. + 330624.i 2.63664 + 3.30624i
\(101\) −31660.4 + 138713.i −0.308826 + 1.35305i 0.547581 + 0.836753i \(0.315549\pi\)
−0.856407 + 0.516302i \(0.827308\pi\)
\(102\) −55752.5 26849.0i −0.530596 0.255522i
\(103\) −46232.4 22264.3i −0.429391 0.206784i 0.206689 0.978407i \(-0.433731\pi\)
−0.636081 + 0.771623i \(0.719445\pi\)
\(104\) −32226.9 + 40411.2i −0.292169 + 0.366369i
\(105\) 14067.6 61634.1i 0.124522 0.545567i
\(106\) 9493.38 + 41593.2i 0.0820647 + 0.359549i
\(107\) −16289.1 + 20425.9i −0.137543 + 0.172473i −0.845832 0.533449i \(-0.820896\pi\)
0.708290 + 0.705922i \(0.249467\pi\)
\(108\) −140438. + 176104.i −1.15858 + 1.45281i
\(109\) 5955.00 + 26090.6i 0.0480082 + 0.210338i 0.993243 0.116054i \(-0.0370244\pi\)
−0.945235 + 0.326391i \(0.894167\pi\)
\(110\) 52101.9 228273.i 0.410555 1.79876i
\(111\) −12409.6 + 15561.1i −0.0955982 + 0.119876i
\(112\) −644269. 310264.i −4.85314 2.33715i
\(113\) 95853.9 + 46160.8i 0.706178 + 0.340077i 0.752265 0.658860i \(-0.228961\pi\)
−0.0460879 + 0.998937i \(0.514675\pi\)
\(114\) −3246.12 + 14222.2i −0.0233939 + 0.102495i
\(115\) −118258. 148291.i −0.833846 1.04561i
\(116\) 404601. 194845.i 2.79178 1.34445i
\(117\) −9735.90 12208.4i −0.0657524 0.0824509i
\(118\) 58766.8 + 257474.i 0.388532 + 1.70227i
\(119\) 136473. + 65722.0i 0.883445 + 0.425445i
\(120\) −71154.0 311746.i −0.451072 1.97628i
\(121\) 93812.5 45177.7i 0.582502 0.280518i
\(122\) 467727. 2.84507
\(123\) 39763.8 0.236987
\(124\) −178467. + 85945.3i −1.04233 + 0.501959i
\(125\) 25185.0 110343.i 0.144167 0.631638i
\(126\) 216333. 271272.i 1.21394 1.52223i
\(127\) −141355. 177254.i −0.777683 0.975184i −1.00000 0.000209514i \(-0.999933\pi\)
0.222317 0.974975i \(-0.428638\pi\)
\(128\) −1.42465e6 −7.68568
\(129\) −48003.9 39553.8i −0.253982 0.209273i
\(130\) 70720.7 0.367019
\(131\) 83881.7 + 105184.i 0.427060 + 0.535517i 0.948082 0.318027i \(-0.103020\pi\)
−0.521021 + 0.853544i \(0.674449\pi\)
\(132\) −72893.0 + 91405.0i −0.364126 + 0.456599i
\(133\) 7945.97 34813.6i 0.0389509 0.170655i
\(134\) 139311. 67088.7i 0.670230 0.322766i
\(135\) 204937. 0.967801
\(136\) 766155. 3.55197
\(137\) −217938. + 104953.i −0.992044 + 0.477743i −0.858231 0.513263i \(-0.828436\pi\)
−0.133813 + 0.991007i \(0.542722\pi\)
\(138\) 28134.2 + 123264.i 0.125758 + 0.550983i
\(139\) −323752. 155911.i −1.42127 0.684445i −0.443914 0.896069i \(-0.646411\pi\)
−0.977351 + 0.211624i \(0.932125\pi\)
\(140\) 261924. + 1.14756e6i 1.12942 + 4.94830i
\(141\) −222.112 278.520i −0.000940858 0.00117980i
\(142\) −247319. + 119103.i −1.02929 + 0.495680i
\(143\) −10720.4 13443.0i −0.0438401 0.0549737i
\(144\) 243146. 1.06529e6i 0.977148 4.28116i
\(145\) −368122. 177278.i −1.45402 0.700221i
\(146\) 49046.6 + 23619.6i 0.190426 + 0.0917045i
\(147\) 10558.9 13240.4i 0.0403017 0.0505368i
\(148\) 82461.9 361289.i 0.309456 1.35582i
\(149\) 68656.8 + 300805.i 0.253348 + 1.10999i 0.928213 + 0.372050i \(0.121345\pi\)
−0.674865 + 0.737942i \(0.735798\pi\)
\(150\) −159911. + 200522.i −0.580296 + 0.727668i
\(151\) −213775. + 268065.i −0.762983 + 0.956750i −0.999891 0.0147820i \(-0.995295\pi\)
0.236908 + 0.971532i \(0.423866\pi\)
\(152\) −40190.8 176087.i −0.141097 0.618186i
\(153\) −51504.6 + 225656.i −0.177876 + 0.779326i
\(154\) 238208. 298704.i 0.809385 1.01494i
\(155\) 162377. + 78196.5i 0.542868 + 0.261431i
\(156\) −31814.9 15321.2i −0.104669 0.0504060i
\(157\) −123689. + 541918.i −0.400482 + 1.75463i 0.224973 + 0.974365i \(0.427771\pi\)
−0.625455 + 0.780260i \(0.715087\pi\)
\(158\) −218207. 273622.i −0.695385 0.871985i
\(159\) −17462.2 + 8409.35i −0.0547780 + 0.0263797i
\(160\) 1.84188e6 + 2.30964e6i 5.68801 + 7.13254i
\(161\) −68867.9 301730.i −0.209388 0.917390i
\(162\) 412620. + 198707.i 1.23527 + 0.594875i
\(163\) −84546.4 370422.i −0.249245 1.09201i −0.932311 0.361656i \(-0.882211\pi\)
0.683067 0.730356i \(-0.260646\pi\)
\(164\) −667040. + 321230.i −1.93661 + 0.932623i
\(165\) 106371. 0.304167
\(166\) −162377. −0.457355
\(167\) 490298. 236115.i 1.36041 0.655138i 0.395681 0.918388i \(-0.370509\pi\)
0.964728 + 0.263250i \(0.0847944\pi\)
\(168\) 116103. 508681.i 0.317374 1.39050i
\(169\) −228259. + 286228.i −0.614769 + 0.770896i
\(170\) −653588. 819573.i −1.73453 2.17503i
\(171\) 54565.0 0.142700
\(172\) 1.12480e6 + 275720.i 2.89905 + 0.710636i
\(173\) −359430. −0.913058 −0.456529 0.889708i \(-0.650908\pi\)
−0.456529 + 0.889708i \(0.650908\pi\)
\(174\) 169814. + 212940.i 0.425207 + 0.533193i
\(175\) 391435. 490844.i 0.966195 1.21157i
\(176\) 267733. 1.17301e6i 0.651508 2.85444i
\(177\) −108096. + 52056.3i −0.259344 + 0.124894i
\(178\) −929854. −2.19971
\(179\) 483972. 1.12898 0.564492 0.825438i \(-0.309072\pi\)
0.564492 + 0.825438i \(0.309072\pi\)
\(180\) −1.62051e6 + 780396.i −3.72795 + 1.79529i
\(181\) 79913.1 + 350122.i 0.181310 + 0.794371i 0.981008 + 0.193968i \(0.0621358\pi\)
−0.799698 + 0.600403i \(0.795007\pi\)
\(182\) 103968. + 50068.5i 0.232661 + 0.112043i
\(183\) 47282.7 + 207159.i 0.104370 + 0.457274i
\(184\) −976012. 1.22388e6i −2.12525 2.66498i
\(185\) −303779. + 146292.i −0.652572 + 0.314262i
\(186\) −74904.1 93926.8i −0.158753 0.199071i
\(187\) −56712.8 + 248475.i −0.118598 + 0.519611i
\(188\) 5975.95 + 2877.87i 0.0123314 + 0.00593849i
\(189\) 301284. + 145090.i 0.613509 + 0.295450i
\(190\) −154079. + 193209.i −0.309641 + 0.388278i
\(191\) 63491.1 278173.i 0.125930 0.551736i −0.872119 0.489295i \(-0.837254\pi\)
0.998049 0.0624410i \(-0.0198885\pi\)
\(192\) −253982. 1.11277e6i −0.497221 2.17847i
\(193\) −385334. + 483194.i −0.744637 + 0.933745i −0.999447 0.0332460i \(-0.989416\pi\)
0.254810 + 0.966991i \(0.417987\pi\)
\(194\) −882527. + 1.10665e6i −1.68354 + 2.11109i
\(195\) 7149.18 + 31322.6i 0.0134639 + 0.0589891i
\(196\) −70163.8 + 307408.i −0.130459 + 0.571577i
\(197\) −534226. + 669898.i −0.980753 + 1.22982i −0.00752717 + 0.999972i \(0.502396\pi\)
−0.973225 + 0.229853i \(0.926175\pi\)
\(198\) 525987. + 253302.i 0.953482 + 0.459173i
\(199\) −552904. 266264.i −0.989730 0.476629i −0.132289 0.991211i \(-0.542233\pi\)
−0.857441 + 0.514582i \(0.827947\pi\)
\(200\) 706612. 3.09587e6i 1.24913 5.47278i
\(201\) 43797.0 + 54919.7i 0.0764635 + 0.0958822i
\(202\) 1.44757e6 697111.i 2.49609 1.20205i
\(203\) −415677. 521243.i −0.707972 0.887769i
\(204\) 116471. + 510295.i 0.195949 + 0.858511i
\(205\) 606900. + 292268.i 1.00863 + 0.485731i
\(206\) 128941. + 564926.i 0.211700 + 0.927520i
\(207\) 426083. 205191.i 0.691143 0.332837i
\(208\) 363408. 0.582420
\(209\) 60082.6 0.0951444
\(210\) −643192. + 309745.i −1.00645 + 0.484681i
\(211\) 214441. 939530.i 0.331591 1.45279i −0.484459 0.874814i \(-0.660984\pi\)
0.816050 0.577981i \(-0.196159\pi\)
\(212\) 224995. 282135.i 0.343822 0.431139i
\(213\) −77753.0 97499.1i −0.117427 0.147249i
\(214\) 295019. 0.440368
\(215\) −441943. 956529.i −0.652033 1.41124i
\(216\) 1.69140e6 2.46667
\(217\) 183353. + 229917.i 0.264325 + 0.331453i
\(218\) 188418. 236269.i 0.268523 0.336717i
\(219\) −5503.12 + 24110.8i −0.00775352 + 0.0339704i
\(220\) −1.78438e6 + 859310.i −2.48559 + 1.19700i
\(221\) −76979.3 −0.106021
\(222\) 224755. 0.306075
\(223\) 697454. 335876.i 0.939189 0.452290i 0.0993061 0.995057i \(-0.468338\pi\)
0.839883 + 0.542767i \(0.182623\pi\)
\(224\) 1.07262e6 + 4.69947e6i 1.42832 + 6.25790i
\(225\) 864327. + 416238.i 1.13821 + 0.548133i
\(226\) −267334. 1.17126e6i −0.348163 1.52540i
\(227\) 558063. + 699789.i 0.718818 + 0.901369i 0.998270 0.0587907i \(-0.0187245\pi\)
−0.279453 + 0.960159i \(0.590153\pi\)
\(228\) 111172. 53537.8i 0.141632 0.0682062i
\(229\) 382688. + 479876.i 0.482233 + 0.604701i 0.962119 0.272630i \(-0.0878935\pi\)
−0.479886 + 0.877331i \(0.659322\pi\)
\(230\) −476600. + 2.08812e6i −0.594066 + 2.60277i
\(231\) 156378. + 75307.8i 0.192817 + 0.0928560i
\(232\) −3.03820e6 1.46312e6i −3.70592 1.78468i
\(233\) 848806. 1.06437e6i 1.02428 1.28441i 0.0662293 0.997804i \(-0.478903\pi\)
0.958050 0.286601i \(-0.0925255\pi\)
\(234\) −39237.4 + 171910.i −0.0468447 + 0.205240i
\(235\) −1342.87 5883.49i −0.00158622 0.00694969i
\(236\) 1.39278e6 1.74650e6i 1.62781 2.04121i
\(237\) 99130.4 124306.i 0.114640 0.143754i
\(238\) −380619. 1.66760e6i −0.435560 1.90831i
\(239\) 74652.5 327074.i 0.0845375 0.370383i −0.914909 0.403661i \(-0.867738\pi\)
0.999446 + 0.0332780i \(0.0105947\pi\)
\(240\) −1.40173e6 + 1.75771e6i −1.57085 + 1.96979i
\(241\) −715911. 344764.i −0.793992 0.382367i −0.00750406 0.999972i \(-0.502389\pi\)
−0.786488 + 0.617605i \(0.788103\pi\)
\(242\) −1.05936e6 510160.i −1.16280 0.559975i
\(243\) −173810. + 761513.i −0.188825 + 0.827297i
\(244\) −2.46670e6 3.09314e6i −2.65241 3.32602i
\(245\) 258474. 124475.i 0.275107 0.132485i
\(246\) −279962. 351061.i −0.294959 0.369867i
\(247\) 4038.16 + 17692.3i 0.00421154 + 0.0184520i
\(248\) 1.34013e6 + 645374.i 1.38363 + 0.666319i
\(249\) −16414.7 71917.5i −0.0167778 0.0735083i
\(250\) −1.15150e6 + 554532.i −1.16523 + 0.561147i
\(251\) 1.07005e6 1.07206 0.536030 0.844199i \(-0.319924\pi\)
0.536030 + 0.844199i \(0.319924\pi\)
\(252\) −2.93485e6 −2.91129
\(253\) 469168. 225940.i 0.460816 0.221917i
\(254\) −569687. + 2.49596e6i −0.554053 + 2.42747i
\(255\) 296922. 372329.i 0.285952 0.358572i
\(256\) 5.59137e6 + 7.01136e6i 5.33235 + 6.68655i
\(257\) 616936. 0.582649 0.291325 0.956624i \(-0.405904\pi\)
0.291325 + 0.956624i \(0.405904\pi\)
\(258\) −11229.2 + 702295.i −0.0105027 + 0.656856i
\(259\) −550165. −0.509616
\(260\) −372966. 467685.i −0.342166 0.429062i
\(261\) 635176. 796486.i 0.577156 0.723730i
\(262\) 338058. 1.48113e6i 0.304255 1.33303i
\(263\) 126546. 60941.5i 0.112813 0.0543280i −0.376626 0.926365i \(-0.622916\pi\)
0.489439 + 0.872037i \(0.337201\pi\)
\(264\) 877902. 0.775240
\(265\) −328329. −0.287207
\(266\) −363302. + 174957.i −0.314821 + 0.151610i
\(267\) −93999.4 411838.i −0.0806950 0.353548i
\(268\) −1.17836e6 567471.i −1.00217 0.482621i
\(269\) −296896. 1.30079e6i −0.250164 1.09604i −0.931407 0.363981i \(-0.881417\pi\)
0.681243 0.732057i \(-0.261440\pi\)
\(270\) −1.44289e6 1.80932e6i −1.20454 1.51045i
\(271\) −1.67264e6 + 805502.i −1.38350 + 0.666260i −0.969743 0.244127i \(-0.921499\pi\)
−0.413759 + 0.910386i \(0.635784\pi\)
\(272\) −3.35855e6 4.21149e6i −2.75251 3.45154i
\(273\) −11665.4 + 51109.7i −0.00947316 + 0.0415046i
\(274\) 2.46102e6 + 1.18516e6i 1.98033 + 0.953679i
\(275\) 951729. + 458328.i 0.758895 + 0.365464i
\(276\) 666787. 836124.i 0.526883 0.660690i
\(277\) −269016. + 1.17864e6i −0.210659 + 0.922955i 0.753462 + 0.657491i \(0.228382\pi\)
−0.964121 + 0.265464i \(0.914475\pi\)
\(278\) 902933. + 3.95601e6i 0.700719 + 3.07005i
\(279\) −280173. + 351326.i −0.215484 + 0.270209i
\(280\) 5.51090e6 6.91045e6i 4.20075 5.26758i
\(281\) 132.416 + 580.152i 0.000100040 + 0.000438304i 0.974978 0.222302i \(-0.0713570\pi\)
−0.974878 + 0.222740i \(0.928500\pi\)
\(282\) −895.150 + 3921.91i −0.000670306 + 0.00293680i
\(283\) 521702. 654193.i 0.387219 0.485557i −0.549572 0.835446i \(-0.685209\pi\)
0.936791 + 0.349889i \(0.113781\pi\)
\(284\) 2.09195e6 + 1.00743e6i 1.53906 + 0.741174i
\(285\) −101149. 48710.9i −0.0737650 0.0355233i
\(286\) −43205.1 + 189294.i −0.0312335 + 0.136843i
\(287\) 685301. + 859341.i 0.491108 + 0.615830i
\(288\) −6.63627e6 + 3.19586e6i −4.71458 + 2.27042i
\(289\) −173838. 217986.i −0.122433 0.153527i
\(290\) 1.02668e6 + 4.49818e6i 0.716870 + 3.14081i
\(291\) −579358. 279004.i −0.401065 0.193143i
\(292\) −102462. 448917.i −0.0703245 0.308112i
\(293\) −907027. + 436801.i −0.617236 + 0.297245i −0.716253 0.697841i \(-0.754144\pi\)
0.0990171 + 0.995086i \(0.468430\pi\)
\(294\) −191236. −0.129033
\(295\) −2.03245e6 −1.35977
\(296\) −2.50716e6 + 1.20738e6i −1.66323 + 0.800970i
\(297\) −125201. + 548543.i −0.0823604 + 0.360844i
\(298\) 2.17232e6 2.72401e6i 1.41705 1.77692i
\(299\) 98064.6 + 122969.i 0.0634358 + 0.0795460i
\(300\) 2.16941e6 1.39168
\(301\) 27487.3 1.71910e6i 0.0174870 1.09367i
\(302\) 3.87178e6 2.44283
\(303\) 455090. + 570664.i 0.284767 + 0.357087i
\(304\) −791755. + 992829.i −0.491368 + 0.616156i
\(305\) −800982. + 3.50933e6i −0.493030 + 2.16010i
\(306\) 2.35487e6 1.13405e6i 1.43768 0.692352i
\(307\) −987640. −0.598071 −0.299036 0.954242i \(-0.596665\pi\)
−0.299036 + 0.954242i \(0.596665\pi\)
\(308\) −3.23163e6 −1.94109
\(309\) −237174. + 114217.i −0.141310 + 0.0680511i
\(310\) −452863. 1.98412e6i −0.267647 1.17264i
\(311\) −2.58125e6 1.24306e6i −1.51331 0.728773i −0.521120 0.853484i \(-0.674486\pi\)
−0.992193 + 0.124710i \(0.960200\pi\)
\(312\) 59003.9 + 258513.i 0.0343158 + 0.150347i
\(313\) 52660.7 + 66034.5i 0.0303827 + 0.0380987i 0.796791 0.604255i \(-0.206529\pi\)
−0.766408 + 0.642354i \(0.777958\pi\)
\(314\) 5.65527e6 2.72343e6i 3.23690 1.55881i
\(315\) 1.66487e6 + 2.08768e6i 0.945376 + 1.18546i
\(316\) −658724. + 2.88606e6i −0.371095 + 1.62588i
\(317\) −703872. 338967.i −0.393410 0.189456i 0.226712 0.973962i \(-0.427203\pi\)
−0.620122 + 0.784506i \(0.712917\pi\)
\(318\) 197188. + 94960.9i 0.109349 + 0.0526596i
\(319\) 699406. 877027.i 0.384815 0.482543i
\(320\) 4.30252e6 1.88506e7i 2.34881 10.2908i
\(321\) 29823.6 + 130666.i 0.0161546 + 0.0707781i
\(322\) −2.17900e6 + 2.73238e6i −1.17117 + 1.46859i
\(323\) 167714. 210307.i 0.0894466 0.112162i
\(324\) −861995. 3.77665e6i −0.456186 1.99868i
\(325\) −70996.7 + 311057.i −0.0372846 + 0.163355i
\(326\) −2.67507e6 + 3.35444e6i −1.39409 + 1.74814i
\(327\) 123692. + 59567.0i 0.0639695 + 0.0308061i
\(328\) 5.00889e6 + 2.41215e6i 2.57073 + 1.23800i
\(329\) 2191.18 9600.19i 0.00111606 0.00488979i
\(330\) −748916. 939112.i −0.378572 0.474714i
\(331\) −1.73341e6 + 834767.i −0.869624 + 0.418789i −0.814824 0.579709i \(-0.803166\pi\)
−0.0548000 + 0.998497i \(0.517452\pi\)
\(332\) 856341. + 1.07382e6i 0.426384 + 0.534669i
\(333\) −187069. 819602.i −0.0924466 0.405035i
\(334\) −5.53660e6 2.66628e6i −2.71567 1.30780i
\(335\) 264793. + 1.16013e6i 0.128912 + 0.564801i
\(336\) −3.30513e6 + 1.59167e6i −1.59713 + 0.769138i
\(337\) 1.15250e6 0.552799 0.276400 0.961043i \(-0.410859\pi\)
0.276400 + 0.961043i \(0.410859\pi\)
\(338\) 4.13411e6 1.96829
\(339\) 491735. 236807.i 0.232398 0.111917i
\(340\) −1.97306e6 + 8.64452e6i −0.925640 + 4.05549i
\(341\) −308504. + 386852.i −0.143673 + 0.180160i
\(342\) −384172. 481736.i −0.177607 0.222712i
\(343\) −1.91517e6 −0.878967
\(344\) −3.64746e6 7.89446e6i −1.66186 3.59688i
\(345\) −973022. −0.440124
\(346\) 2.53061e6 + 3.17329e6i 1.13641 + 1.42501i
\(347\) −963236. + 1.20786e6i −0.429447 + 0.538509i −0.948728 0.316094i \(-0.897628\pi\)
0.519281 + 0.854604i \(0.326200\pi\)
\(348\) 512636. 2.24601e6i 0.226914 0.994175i
\(349\) −2.99109e6 + 1.44043e6i −1.31451 + 0.633037i −0.954025 0.299727i \(-0.903104\pi\)
−0.360489 + 0.932763i \(0.617390\pi\)
\(350\) −7.08946e6 −3.09345
\(351\) −169943. −0.0736266
\(352\) −7.30733e6 + 3.51903e6i −3.14342 + 1.51379i
\(353\) −120705. 528842.i −0.0515570 0.225886i 0.942585 0.333966i \(-0.108387\pi\)
−0.994142 + 0.108080i \(0.965530\pi\)
\(354\) 1.22065e6 + 587835.i 0.517707 + 0.249314i
\(355\) −470087. 2.05959e6i −0.197974 0.867379i
\(356\) 4.90386e6 + 6.14925e6i 2.05075 + 2.57156i
\(357\) 700113. 337157.i 0.290735 0.140011i
\(358\) −3.40747e6 4.27284e6i −1.40516 1.76201i
\(359\) 713294. 3.12515e6i 0.292101 1.27978i −0.589495 0.807772i \(-0.700673\pi\)
0.881596 0.472005i \(-0.156469\pi\)
\(360\) 1.21686e7 + 5.86009e6i 4.94862 + 2.38313i
\(361\) 2.17375e6 + 1.04683e6i 0.877895 + 0.422772i
\(362\) 2.52848e6 3.17061e6i 1.01412 1.27166i
\(363\) 118862. 520769.i 0.0473453 0.207433i
\(364\) −217198. 951607.i −0.0859217 0.376447i
\(365\) −261209. + 327545.i −0.102626 + 0.128688i
\(366\) 1.49604e6 1.87598e6i 0.583769 0.732023i
\(367\) −25588.8 112112.i −0.00991712 0.0434497i 0.969727 0.244191i \(-0.0785222\pi\)
−0.979644 + 0.200741i \(0.935665\pi\)
\(368\) −2.44908e6 + 1.07301e7i −0.942720 + 4.13033i
\(369\) −1.04718e6 + 1.31312e6i −0.400363 + 0.502039i
\(370\) 3.43036e6 + 1.65197e6i 1.30267 + 0.627334i
\(371\) −482685. 232449.i −0.182066 0.0876784i
\(372\) −226121. + 990701.i −0.0847196 + 0.371181i
\(373\) 586398. + 735319.i 0.218233 + 0.273655i 0.878882 0.477040i \(-0.158290\pi\)
−0.660649 + 0.750695i \(0.729719\pi\)
\(374\) 2.59300e6 1.24872e6i 0.958568 0.461622i
\(375\) −362011. 453947.i −0.132936 0.166697i
\(376\) −11083.0 48557.8i −0.00404285 0.0177129i
\(377\) 305262. + 147007.i 0.110617 + 0.0532701i
\(378\) −840270. 3.68146e6i −0.302475 1.32523i
\(379\) 2.28698e6 1.10135e6i 0.817831 0.393847i 0.0222938 0.999751i \(-0.492903\pi\)
0.795537 + 0.605905i \(0.207189\pi\)
\(380\) 2.09029e6 0.742589
\(381\) −1.16307e6 −0.410480
\(382\) −2.90291e6 + 1.39797e6i −1.01783 + 0.490162i
\(383\) 82379.9 360930.i 0.0286962 0.125726i −0.958551 0.284921i \(-0.908033\pi\)
0.987247 + 0.159195i \(0.0508898\pi\)
\(384\) −4.55678e6 + 5.71402e6i −1.57699 + 1.97749i
\(385\) 1.83322e6 + 2.29879e6i 0.630324 + 0.790401i
\(386\) 6.97896e6 2.38409
\(387\) 2.57036e6 543586.i 0.872402 0.184498i
\(388\) 1.19727e7 4.03750
\(389\) −3.30174e6 4.14025e6i −1.10629 1.38724i −0.913907 0.405923i \(-0.866950\pi\)
−0.192382 0.981320i \(-0.561621\pi\)
\(390\) 226202. 283649.i 0.0753071 0.0944321i
\(391\) 518778. 2.27292e6i 0.171609 0.751868i
\(392\) 2.13325e6 1.02732e6i 0.701175 0.337668i
\(393\) 690175. 0.225413
\(394\) 9.67560e6 3.14006
\(395\) 2.42665e6 1.16861e6i 0.782554 0.376858i
\(396\) −1.09883e6 4.81429e6i −0.352121 1.54274i
\(397\) 1.51832e6 + 731183.i 0.483489 + 0.232836i 0.659718 0.751513i \(-0.270676\pi\)
−0.176229 + 0.984349i \(0.556390\pi\)
\(398\) 1.54203e6 + 6.75608e6i 0.487961 + 2.13790i
\(399\) −114216. 143222.i −0.0359165 0.0450379i
\(400\) −2.01153e7 + 9.68700e6i −6.28602 + 3.02719i
\(401\) 182335. + 228640.i 0.0566250 + 0.0710055i 0.809337 0.587344i \(-0.199826\pi\)
−0.752712 + 0.658349i \(0.771255\pi\)
\(402\) 176510. 773339.i 0.0544758 0.238674i
\(403\) −134650. 64843.9i −0.0412993 0.0198887i
\(404\) −1.22442e7 5.89652e6i −3.73232 1.79739i
\(405\) −2.19750e6 + 2.75557e6i −0.665718 + 0.834785i
\(406\) −1.67525e6 + 7.33976e6i −0.504388 + 2.20987i
\(407\) −205985. 902481.i −0.0616383 0.270055i
\(408\) 2.45057e6 3.07292e6i 0.728814 0.913904i
\(409\) 3.05663e6 3.83289e6i 0.903514 1.13297i −0.0870891 0.996201i \(-0.527756\pi\)
0.990603 0.136770i \(-0.0436721\pi\)
\(410\) −1.69262e6 7.41587e6i −0.497280 2.17873i
\(411\) −276131. + 1.20981e6i −0.0806326 + 0.353274i
\(412\) 3.05592e6 3.83200e6i 0.886950 1.11220i
\(413\) −2.98796e6 1.43892e6i −0.861984 0.415110i
\(414\) −4.81145e6 2.31707e6i −1.37967 0.664414i
\(415\) 278069. 1.21830e6i 0.0792561 0.347244i
\(416\) −1.52736e6 1.91525e6i −0.432722 0.542616i
\(417\) −1.66086e6 + 799829.i −0.467728 + 0.225246i
\(418\) −423020. 530450.i −0.118419 0.148492i
\(419\) −415449. 1.82020e6i −0.115607 0.506506i −0.999264 0.0383708i \(-0.987783\pi\)
0.883657 0.468135i \(-0.155074\pi\)
\(420\) 5.44045e6 + 2.61998e6i 1.50491 + 0.724728i
\(421\) −297875. 1.30508e6i −0.0819084 0.358864i 0.917320 0.398152i \(-0.130348\pi\)
−0.999228 + 0.0392876i \(0.987491\pi\)
\(422\) −9.80461e6 + 4.72165e6i −2.68009 + 1.29066i
\(423\) 15046.8 0.00408878
\(424\) −2.70978e6 −0.732013
\(425\) 4.26094e6 2.05196e6i 1.14428 0.551057i
\(426\) −313358. + 1.37291e6i −0.0836598 + 0.366537i
\(427\) −3.66206e6 + 4.59208e6i −0.971978 + 1.21882i
\(428\) −1.55587e6 1.95100e6i −0.410548 0.514811i
\(429\) −88207.0 −0.0231398
\(430\) −5.33332e6 + 1.06363e7i −1.39100 + 2.77409i
\(431\) 5.20196e6 1.34888 0.674441 0.738328i \(-0.264385\pi\)
0.674441 + 0.738328i \(0.264385\pi\)
\(432\) −7.41447e6 9.29746e6i −1.91149 2.39693i
\(433\) 1.78211e6 2.23469e6i 0.456787 0.572793i −0.499094 0.866548i \(-0.666334\pi\)
0.955881 + 0.293755i \(0.0949051\pi\)
\(434\) 738945. 3.23753e6i 0.188316 0.825067i
\(435\) −1.88848e6 + 909446.i −0.478509 + 0.230438i
\(436\) −2.55615e6 −0.643978
\(437\) −549604. −0.137672
\(438\) 251611. 121170.i 0.0626679 0.0301793i
\(439\) 1.41608e6 + 6.20423e6i 0.350691 + 1.53648i 0.775589 + 0.631238i \(0.217453\pi\)
−0.424898 + 0.905241i \(0.639690\pi\)
\(440\) 1.33991e7 + 6.45267e6i 3.29947 + 1.58894i
\(441\) 159170. + 697369.i 0.0389731 + 0.170752i
\(442\) 541983. + 679625.i 0.131956 + 0.165468i
\(443\) −2.04789e6 + 986214.i −0.495790 + 0.238760i −0.665033 0.746814i \(-0.731582\pi\)
0.169242 + 0.985575i \(0.445868\pi\)
\(444\) −1.18531e6 1.48634e6i −0.285349 0.357816i
\(445\) 1.59237e6 6.97664e6i 0.381193 1.67011i
\(446\) −7.87585e6 3.79281e6i −1.87482 0.902868i
\(447\) 1.42608e6 + 686764.i 0.337579 + 0.162569i
\(448\) 1.96710e7 2.46666e7i 4.63053 5.80651i
\(449\) −251686. + 1.10271e6i −0.0589173 + 0.258133i −0.995805 0.0914956i \(-0.970835\pi\)
0.936888 + 0.349629i \(0.113692\pi\)
\(450\) −2.41058e6 1.05614e7i −0.561165 2.45862i
\(451\) −1.15307e6 + 1.44590e6i −0.266940 + 0.334732i
\(452\) −6.33586e6 + 7.94492e6i −1.45868 + 1.82913i
\(453\) 391399. + 1.71483e6i 0.0896137 + 0.392623i
\(454\) 2.24909e6 9.85392e6i 0.512115 2.24372i
\(455\) −553706. + 694326.i −0.125387 + 0.157230i
\(456\) −834808. 402022.i −0.188007 0.0905395i
\(457\) 5.11549e6 + 2.46349e6i 1.14577 + 0.551773i 0.907760 0.419490i \(-0.137791\pi\)
0.238009 + 0.971263i \(0.423505\pi\)
\(458\) 1.54230e6 6.75726e6i 0.343562 1.50524i
\(459\) 1.57058e6 + 1.96944e6i 0.347959 + 0.436327i
\(460\) 1.63225e7 7.86051e6i 3.59660 1.73203i
\(461\) −2.24892e6 2.82006e6i −0.492858 0.618024i 0.471744 0.881736i \(-0.343625\pi\)
−0.964602 + 0.263712i \(0.915053\pi\)
\(462\) −436134. 1.91083e6i −0.0950637 0.416501i
\(463\) 2.81706e6 + 1.35662e6i 0.610722 + 0.294108i 0.713565 0.700589i \(-0.247080\pi\)
−0.102843 + 0.994698i \(0.532794\pi\)
\(464\) 5.27574e6 + 2.31145e7i 1.13760 + 4.98414i
\(465\) 833000. 401152.i 0.178654 0.0860352i
\(466\) −1.53731e7 −3.27942
\(467\) 7.46704e6 1.58437 0.792184 0.610282i \(-0.208944\pi\)
0.792184 + 0.610282i \(0.208944\pi\)
\(468\) 1.34379e6 647138.i 0.283608 0.136578i
\(469\) −432067. + 1.89301e6i −0.0907024 + 0.397393i
\(470\) −42488.8 + 53279.2i −0.00887216 + 0.0111253i
\(471\) 1.77792e6 + 2.22944e6i 0.369283 + 0.463066i
\(472\) −1.67743e7 −3.46569
\(473\) 2.83028e6 598554.i 0.581670 0.123013i
\(474\) −1.79539e6 −0.367041
\(475\) −695126. 871661.i −0.141361 0.177261i
\(476\) −9.02075e6 + 1.13117e7i −1.82484 + 2.28828i
\(477\) 182164. 798113.i 0.0366578 0.160608i
\(478\) −3.41323e6 + 1.64372e6i −0.683275 + 0.329048i
\(479\) 3.29455e6 0.656081 0.328041 0.944664i \(-0.393612\pi\)
0.328041 + 0.944664i \(0.393612\pi\)
\(480\) 1.51549e7 3.00227
\(481\) 251906. 121312.i 0.0496451 0.0239078i
\(482\) 1.99665e6 + 8.74790e6i 0.391458 + 1.71509i
\(483\) −1.43047e6 688876.i −0.279003 0.134361i
\(484\) 2.21308e6 + 9.69616e6i 0.429422 + 1.88142i
\(485\) −6.79183e6 8.51668e6i −1.31109 1.64405i
\(486\) 7.94688e6 3.82702e6i 1.52618 0.734970i
\(487\) 2.04482e6 + 2.56413e6i 0.390691 + 0.489911i 0.937813 0.347142i \(-0.112848\pi\)
−0.547122 + 0.837053i \(0.684276\pi\)
\(488\) −6.61069e6 + 2.89633e7i −1.25660 + 5.50553i
\(489\) −1.75612e6 845705.i −0.332111 0.159936i
\(490\) −2.91877e6 1.40560e6i −0.549173 0.264468i
\(491\) −5.96151e6 + 7.47549e6i −1.11597 + 1.39938i −0.209139 + 0.977886i \(0.567066\pi\)
−0.906831 + 0.421495i \(0.861505\pi\)
\(492\) −845152. + 3.70285e6i −0.157406 + 0.689642i
\(493\) −1.11754e6 4.89626e6i −0.207083 0.907292i
\(494\) 127769. 160217.i 0.0235563 0.0295387i
\(495\) −2.80126e6 + 3.51267e6i −0.513855 + 0.644354i
\(496\) −2.32710e6 1.01957e7i −0.424728 1.86085i
\(497\) 767049. 3.36066e6i 0.139294 0.610287i
\(498\) −519367. + 651265.i −0.0938427 + 0.117675i
\(499\) −1.63969e6 789631.i −0.294788 0.141962i 0.280645 0.959812i \(-0.409452\pi\)
−0.575432 + 0.817850i \(0.695166\pi\)
\(500\) 9.73995e6 + 4.69051e6i 1.74234 + 0.839065i
\(501\) 621216. 2.72173e6i 0.110573 0.484451i
\(502\) −7.53381e6 9.44710e6i −1.33431 1.67317i
\(503\) −7.69395e6 + 3.70521e6i −1.35590 + 0.652969i −0.963720 0.266917i \(-0.913995\pi\)
−0.392185 + 0.919886i \(0.628281\pi\)
\(504\) 1.37406e7 + 1.72301e7i 2.40951 + 3.02143i
\(505\) 2.75143e6 + 1.20548e7i 0.480098 + 2.10345i
\(506\) −5.29799e6 2.55138e6i −0.919888 0.442995i
\(507\) 417918. + 1.83102e6i 0.0722057 + 0.316354i
\(508\) 1.95105e7 9.39577e6i 3.35436 1.61537i
\(509\) 1.96638e6 0.336413 0.168206 0.985752i \(-0.446203\pi\)
0.168206 + 0.985752i \(0.446203\pi\)
\(510\) −5.37769e6 −0.915526
\(511\) −615904. + 296604.i −0.104342 + 0.0502486i
\(512\) 1.23898e7 5.42831e7i 2.08876 9.15144i
\(513\) 370253. 464283.i 0.0621162 0.0778913i
\(514\) −4.34362e6 5.44673e6i −0.725177 0.909343i
\(515\) −4.45941e6 −0.740900
\(516\) 4.70359e6 3.62950e6i 0.777687 0.600098i
\(517\) 16568.4 0.00272618
\(518\) 3.87351e6 + 4.85722e6i 0.634278 + 0.795360i
\(519\) −1.14965e6 + 1.44161e6i −0.187347 + 0.234925i
\(520\) −999541. + 4.37928e6i −0.162103 + 0.710222i
\(521\) 8.04861e6 3.87601e6i 1.29905 0.625591i 0.348836 0.937184i \(-0.386577\pi\)
0.950216 + 0.311593i \(0.100863\pi\)
\(522\) −1.15040e7 −1.84787
\(523\) −1.01582e7 −1.62391 −0.811956 0.583718i \(-0.801597\pi\)
−0.811956 + 0.583718i \(0.801597\pi\)
\(524\) −1.15777e7 + 5.57555e6i −1.84203 + 0.887073i
\(525\) −716676. 3.13996e6i −0.113481 0.497194i
\(526\) −1.42900e6 688170.i −0.225200 0.108450i
\(527\) 492940. + 2.15971e6i 0.0773157 + 0.338742i
\(528\) −3.84841e6 4.82575e6i −0.600754 0.753321i
\(529\) 1.50724e6 725849.i 0.234177 0.112773i
\(530\) 2.31164e6 + 2.89871e6i 0.357463 + 0.448244i
\(531\) 1.12765e6 4.94055e6i 0.173555 0.760394i
\(532\) 3.07300e6 + 1.47988e6i 0.470742 + 0.226697i
\(533\) −503267. 242361.i −0.0767327 0.0369525i
\(534\) −2.97417e6 + 3.72949e6i −0.451349 + 0.565974i
\(535\) −505219. + 2.21351e6i −0.0763124 + 0.334346i
\(536\) 2.18540e6 + 9.57485e6i 0.328563 + 1.43953i
\(537\) 1.54800e6 1.94113e6i 0.231652 0.290482i
\(538\) −9.39389e6 + 1.17796e7i −1.39923 + 1.75458i
\(539\) 175265. + 767888.i 0.0259851 + 0.113848i
\(540\) −4.35580e6 + 1.90840e7i −0.642811 + 2.81634i
\(541\) 879700. 1.10311e6i 0.129223 0.162041i −0.713010 0.701153i \(-0.752669\pi\)
0.842234 + 0.539112i \(0.181240\pi\)
\(542\) 1.88880e7 + 9.09597e6i 2.76177 + 1.33000i
\(543\) 1.65989e6 + 799359.i 0.241590 + 0.116344i
\(544\) −8.08001e6 + 3.54008e7i −1.17062 + 5.12881i
\(545\) 1.45004e6 + 1.81830e6i 0.209117 + 0.262225i
\(546\) 533363. 256854.i 0.0765669 0.0368727i
\(547\) 1.00555e6 + 1.26092e6i 0.143692 + 0.180185i 0.848470 0.529244i \(-0.177524\pi\)
−0.704777 + 0.709429i \(0.748953\pi\)
\(548\) −5.14126e6 2.25253e7i −0.731339 3.20420i
\(549\) −8.08620e6 3.89411e6i −1.14502 0.551413i
\(550\) −2.65434e6 1.16294e7i −0.374154 1.63927i
\(551\) −1.06670e6 + 513693.i −0.149679 + 0.0720817i
\(552\) −8.03058e6 −1.12176
\(553\) 4.39483e6 0.611124
\(554\) 1.22998e7 5.92329e6i 1.70265 0.819953i
\(555\) −384893. + 1.68633e6i −0.0530405 + 0.232386i
\(556\) 2.13997e7 2.68344e7i 2.93576 3.68133i
\(557\) 3.26063e6 + 4.08870e6i 0.445311 + 0.558402i 0.952934 0.303177i \(-0.0980473\pi\)
−0.507624 + 0.861579i \(0.669476\pi\)
\(558\) 5.07433e6 0.689912
\(559\) 366478. + 793194.i 0.0496042 + 0.107362i
\(560\) −6.21440e7 −8.37392
\(561\) 815193. + 1.02222e6i 0.109359 + 0.137132i
\(562\) 4189.68 5253.69i 0.000559552 0.000701656i
\(563\) 2.64894e6 1.16057e7i 0.352209 1.54313i −0.419859 0.907589i \(-0.637921\pi\)
0.772068 0.635540i \(-0.219222\pi\)
\(564\) 30656.9 14763.6i 0.00405817 0.00195431i
\(565\) 9.24574e6 1.21849
\(566\) −9.44877e6 −1.23975
\(567\) −5.18148e6 + 2.49527e6i −0.676855 + 0.325956i
\(568\) −3.87974e6 1.69983e7i −0.504582 2.21072i
\(569\) −3.95497e6 1.90461e6i −0.512110 0.246619i 0.159938 0.987127i \(-0.448871\pi\)
−0.672047 + 0.740508i \(0.734585\pi\)
\(570\) 282102. + 1.23597e6i 0.0363679 + 0.159338i
\(571\) 3.95265e6 + 4.95647e6i 0.507339 + 0.636183i 0.967867 0.251462i \(-0.0809114\pi\)
−0.460528 + 0.887645i \(0.652340\pi\)
\(572\) 1.47968e6 712577.i 0.189094 0.0910629i
\(573\) −912626. 1.14440e6i −0.116120 0.145610i
\(574\) 2.76188e6 1.21006e7i 0.349885 1.53295i
\(575\) −8.70591e6 4.19255e6i −1.09811 0.528820i
\(576\) 4.34355e7 + 2.09174e7i 5.45492 + 2.62695i
\(577\) −6.87758e6 + 8.62421e6i −0.859995 + 1.07840i 0.136151 + 0.990688i \(0.456527\pi\)
−0.996146 + 0.0877115i \(0.972045\pi\)
\(578\) −700597. + 3.06952e6i −0.0872266 + 0.382165i
\(579\) 705506. + 3.09102e6i 0.0874589 + 0.383183i
\(580\) 2.43325e7 3.05120e7i 3.00343 3.76618i
\(581\) 1.27132e6 1.59419e6i 0.156249 0.195930i
\(582\) 1.61581e6 + 7.07933e6i 0.197735 + 0.866333i
\(583\) 200585. 878819.i 0.0244414 0.107085i
\(584\) −2.15582e6 + 2.70331e6i −0.261565 + 0.327992i
\(585\) −1.22264e6 588792.i −0.147709 0.0711331i
\(586\) 1.02424e7 + 4.93249e6i 1.23214 + 0.593365i
\(587\) −15301.8 + 67041.6i −0.00183294 + 0.00803063i −0.975836 0.218504i \(-0.929882\pi\)
0.974003 + 0.226534i \(0.0727396\pi\)
\(588\) 1.00854e6 + 1.26467e6i 0.120296 + 0.150846i
\(589\) 470514. 226587.i 0.0558835 0.0269121i
\(590\) 1.43097e7 + 1.79438e7i 1.69239 + 2.12219i
\(591\) 978110. + 4.28538e6i 0.115191 + 0.504685i
\(592\) 1.76274e7 + 8.48890e6i 2.06721 + 0.995514i
\(593\) 975514. + 4.27400e6i 0.113919 + 0.499112i 0.999406 + 0.0344488i \(0.0109676\pi\)
−0.885487 + 0.464663i \(0.846175\pi\)
\(594\) 5.72441e6 2.75673e6i 0.665679 0.320574i
\(595\) 1.31637e7 1.52435
\(596\) −2.94706e7 −3.39839
\(597\) −2.83642e6 + 1.36595e6i −0.325713 + 0.156855i
\(598\) 395217. 1.73156e6i 0.0451943 0.198009i
\(599\) 688088. 862835.i 0.0783569 0.0982564i −0.741108 0.671386i \(-0.765699\pi\)
0.819465 + 0.573129i \(0.194271\pi\)
\(600\) −1.01569e7 1.27363e7i −1.15181 1.44433i
\(601\) −7.33774e6 −0.828660 −0.414330 0.910127i \(-0.635984\pi\)
−0.414330 + 0.910127i \(0.635984\pi\)
\(602\) −1.53709e7 + 1.18609e7i −1.72866 + 1.33391i
\(603\) −2.96700e6 −0.332296
\(604\) −2.04189e7 2.56045e7i −2.27741 2.85578i
\(605\) 5.64185e6 7.07466e6i 0.626662 0.785809i
\(606\) 1.83409e6 8.03568e6i 0.202880 0.888875i
\(607\) 3.05761e6 1.47247e6i 0.336830 0.162209i −0.257821 0.966193i \(-0.583005\pi\)
0.594651 + 0.803984i \(0.297290\pi\)
\(608\) 8.56012e6 0.939120
\(609\) −3.42017e6 −0.373684
\(610\) 3.66221e7 1.76363e7i 3.98492 1.91903i
\(611\) 1113.56 + 4878.84i 0.000120673 + 0.000528705i
\(612\) −1.99187e7 9.59234e6i −2.14972 1.03525i
\(613\) 1.78682e6 + 7.82859e6i 0.192057 + 0.841458i 0.975501 + 0.219995i \(0.0706041\pi\)
−0.783444 + 0.621463i \(0.786539\pi\)
\(614\) 6.95361e6 + 8.71956e6i 0.744371 + 0.933412i
\(615\) 3.11343e6 1.49935e6i 0.331933 0.159851i
\(616\) 1.51300e7 + 1.89725e7i 1.60653 + 2.01452i
\(617\) 465046. 2.03750e6i 0.0491794 0.215469i −0.944367 0.328893i \(-0.893325\pi\)
0.993547 + 0.113424i \(0.0361817\pi\)
\(618\) 2.67824e6 + 1.28977e6i 0.282084 + 0.135845i
\(619\) −8.23320e6 3.96490e6i −0.863659 0.415916i −0.0510294 0.998697i \(-0.516250\pi\)
−0.812629 + 0.582781i \(0.801965\pi\)
\(620\) −1.07330e7 + 1.34587e7i −1.12135 + 1.40612i
\(621\) 1.14528e6 5.01778e6i 0.119174 0.522135i
\(622\) 7.19902e6 + 3.15410e7i 0.746100 + 3.26888i
\(623\) 7.28028e6 9.12918e6i 0.751498 0.942349i
\(624\) 1.16237e6 1.45757e6i 0.119504 0.149854i
\(625\) 890002. + 3.89935e6i 0.0911362 + 0.399294i
\(626\) 212232. 929849.i 0.0216459 0.0948367i
\(627\) 192176. 240981.i 0.0195223 0.0244802i
\(628\) −4.78351e7 2.30362e7i −4.84003 2.33083i
\(629\) −3.73394e6 1.79817e6i −0.376306 0.181219i
\(630\) 6.70972e6 2.93972e7i 0.673524 2.95090i
\(631\) 3.55739e6 + 4.46083e6i 0.355679 + 0.446008i 0.927192 0.374585i \(-0.122215\pi\)
−0.571513 + 0.820593i \(0.693643\pi\)
\(632\) 2.00277e7 9.64484e6i 1.99452 0.960511i
\(633\) −3.08240e6 3.86520e6i −0.305759 0.383410i
\(634\) 1.96308e6 + 8.60080e6i 0.193961 + 0.849798i
\(635\) −1.77514e7 8.54865e6i −1.74703 0.841323i
\(636\) −411942. 1.80484e6i −0.0403825 0.176927i
\(637\) −214338. + 103220.i −0.0209291 + 0.0100789i
\(638\) −1.26672e7 −1.23206
\(639\) 5.26733e6 0.510315
\(640\) −1.11547e8 + 5.37183e7i −10.7649 + 5.18408i
\(641\) 2.44065e6 1.06932e7i 0.234618 1.02793i −0.711139 0.703052i \(-0.751820\pi\)
0.945757 0.324876i \(-0.105323\pi\)
\(642\) 943627. 1.18327e6i 0.0903573 0.113304i
\(643\) 5.46196e6 + 6.84908e6i 0.520980 + 0.653288i 0.970817 0.239823i \(-0.0770894\pi\)
−0.449837 + 0.893111i \(0.648518\pi\)
\(644\) 2.95612e7 2.80872
\(645\) −5.25004e6 1.28693e6i −0.496894 0.121802i
\(646\) −3.03755e6 −0.286379
\(647\) 6.24077e6 + 7.82568e6i 0.586108 + 0.734956i 0.983141 0.182848i \(-0.0585317\pi\)
−0.397033 + 0.917804i \(0.629960\pi\)
\(648\) −1.81365e7 + 2.27424e7i −1.69674 + 2.12764i
\(649\) 1.24168e6 5.44014e6i 0.115717 0.506989i
\(650\) 3.24608e6 1.56323e6i 0.301353 0.145124i
\(651\) 1.50862e6 0.139517
\(652\) 3.62911e7 3.34335
\(653\) 7.72305e6 3.71922e6i 0.708771 0.341326i −0.0445248 0.999008i \(-0.514177\pi\)
0.753295 + 0.657682i \(0.228463\pi\)
\(654\) −344973. 1.51143e6i −0.0315385 0.138179i
\(655\) 1.05339e7 + 5.07286e6i 0.959369 + 0.462008i
\(656\) −8.69778e6 3.81075e7i −0.789131 3.45741i
\(657\) −651284. 816684.i −0.0588650 0.0738143i
\(658\) −100184. + 48246.2i −0.00902058 + 0.00434408i
\(659\) −3.57679e6 4.48515e6i −0.320834 0.402313i 0.595094 0.803656i \(-0.297115\pi\)
−0.915928 + 0.401343i \(0.868543\pi\)
\(660\) −2.26083e6 + 9.90536e6i −0.202027 + 0.885137i
\(661\) −7.30008e6 3.51553e6i −0.649866 0.312959i 0.0797510 0.996815i \(-0.474587\pi\)
−0.729617 + 0.683856i \(0.760302\pi\)
\(662\) 1.95742e7 + 9.42643e6i 1.73596 + 0.835993i
\(663\) −246221. + 308751.i −0.0217541 + 0.0272788i
\(664\) 2.29497e6 1.00549e7i 0.202003 0.885032i
\(665\) −690539. 3.02545e6i −0.0605528 0.265299i
\(666\) −5.91892e6 + 7.42209e6i −0.517079 + 0.648396i
\(667\) −6.39779e6 + 8.02258e6i −0.556821 + 0.698231i
\(668\) 1.15664e7 + 5.06757e7i 1.00290 + 4.39398i
\(669\) 883686. 3.87168e6i 0.0763365 0.334452i
\(670\) 8.37812e6 1.05058e7i 0.721041 0.904156i
\(671\) −8.90388e6 4.28788e6i −0.763437 0.367652i
\(672\) 2.22796e7 + 1.07293e7i 1.90320 + 0.916532i
\(673\) 1.73114e6 7.58462e6i 0.147331 0.645500i −0.846289 0.532724i \(-0.821169\pi\)
0.993620 0.112776i \(-0.0359743\pi\)
\(674\) −8.11436e6 1.01751e7i −0.688025 0.862756i
\(675\) 9.40662e6 4.52999e6i 0.794647 0.382682i
\(676\) −2.18024e7 2.73394e7i −1.83501 2.30103i
\(677\) 1.87324e6 + 8.20719e6i 0.157080 + 0.688213i 0.990722 + 0.135907i \(0.0433948\pi\)
−0.833641 + 0.552306i \(0.813748\pi\)
\(678\) −5.55282e6 2.67410e6i −0.463916 0.223410i
\(679\) −3.95524e6 1.73290e7i −0.329229 1.44245i
\(680\) 5.99884e7 2.88889e7i 4.97503 2.39585i
\(681\) 4.59172e6 0.379409
\(682\) 5.58745e6 0.459995
\(683\) 5.37952e6 2.59064e6i 0.441257 0.212498i −0.200045 0.979787i \(-0.564109\pi\)
0.641302 + 0.767288i \(0.278395\pi\)
\(684\) −1.15974e6 + 5.08116e6i −0.0947809 + 0.415262i
\(685\) −1.31067e7 + 1.64353e7i −1.06725 + 1.33829i
\(686\) 1.34840e7 + 1.69084e7i 1.09398 + 1.37181i
\(687\) 3.14874e6 0.254534
\(688\) −2.74060e7 + 5.46563e7i −2.20737 + 4.40219i
\(689\) 272264. 0.0218496
\(690\) 6.85069e6 + 8.59049e6i 0.547787 + 0.686903i
\(691\) 4.93813e6 6.19222e6i 0.393430 0.493346i −0.545183 0.838317i \(-0.683540\pi\)
0.938613 + 0.344971i \(0.112111\pi\)
\(692\) 7.63943e6 3.34705e7i 0.606451 2.65703i
\(693\) −6.60509e6 + 3.18085e6i −0.522451 + 0.251599i
\(694\) 1.74456e7 1.37495
\(695\) −3.12280e7 −2.45235
\(696\) −1.55861e7 + 7.50587e6i −1.21959 + 0.587324i
\(697\) 1.84242e6 + 8.07216e6i 0.143650 + 0.629372i
\(698\) 3.37762e7 + 1.62658e7i 2.62405 + 1.26368i
\(699\) −1.55407e6 6.80883e6i −0.120303 0.527084i
\(700\) 3.73883e7 + 4.68835e7i 2.88397 + 3.61639i
\(701\) −5.78859e6 + 2.78764e6i −0.444916 + 0.214260i −0.642908 0.765943i \(-0.722272\pi\)
0.197992 + 0.980204i \(0.436558\pi\)
\(702\) 1.19650e6 + 1.50037e6i 0.0916371 + 0.114909i
\(703\) −217404. + 952508.i −0.0165912 + 0.0726910i
\(704\) 4.78277e7 + 2.30326e7i 3.63704 + 1.75151i
\(705\) −27892.9 13432.5i −0.00211359 0.00101785i
\(706\) −3.81913e6 + 4.78904e6i −0.288372 + 0.361607i
\(707\) −4.48955e6 + 1.96700e7i −0.337796 + 1.47998i
\(708\) −2.55004e6 1.11725e7i −0.191189 0.837655i
\(709\) −2.52956e6 + 3.17196e6i −0.188986 + 0.236980i −0.867293 0.497798i \(-0.834142\pi\)
0.678308 + 0.734778i \(0.262714\pi\)
\(710\) −1.48737e7 + 1.86510e7i −1.10732 + 1.38854i
\(711\) 1.49435e6 + 6.54716e6i 0.110861 + 0.485712i
\(712\) 1.31422e7 5.75799e7i 0.971559 4.25668i
\(713\) 2.82203e6 3.53872e6i 0.207892 0.260688i
\(714\) −7.90589e6 3.80727e6i −0.580370 0.279492i
\(715\) −1.34627e6 648331.i −0.0984845 0.0474276i
\(716\) −1.02865e7 + 4.50681e7i −0.749869 + 3.28539i
\(717\) −1.07306e6 1.34557e6i −0.0779518 0.0977485i
\(718\) −3.26129e7 + 1.57056e7i −2.36091 + 1.13695i
\(719\) 979698. + 1.22850e6i 0.0706757 + 0.0886245i 0.815913 0.578175i \(-0.196235\pi\)
−0.745237 + 0.666800i \(0.767664\pi\)
\(720\) −2.11304e7 9.25783e7i −1.51907 6.65546i
\(721\) −6.55590e6 3.15716e6i −0.469672 0.226182i
\(722\) −6.06253e6 2.65617e7i −0.432824 1.89632i
\(723\) −3.67266e6 + 1.76866e6i −0.261297 + 0.125834i
\(724\) −3.43023e7 −2.43207
\(725\) −2.08154e7 −1.47075
\(726\) −5.43456e6 + 2.61715e6i −0.382669 + 0.184284i
\(727\) −3.90024e6 + 1.70881e7i −0.273688 + 1.19910i 0.631935 + 0.775021i \(0.282261\pi\)
−0.905623 + 0.424083i \(0.860596\pi\)
\(728\) −4.56987e6 + 5.73044e6i −0.319577 + 0.400737i
\(729\) −3.64623e6 4.57223e6i −0.254112 0.318647i
\(730\) 4.73086e6 0.328574
\(731\) 5.80531e6 1.15776e7i 0.401820 0.801357i
\(732\) −2.02959e7 −1.40001
\(733\) 407688. + 511224.i 0.0280264 + 0.0351440i 0.795647 0.605760i \(-0.207131\pi\)
−0.767621 + 0.640904i \(0.778560\pi\)
\(734\) −809639. + 1.01526e6i −0.0554691 + 0.0695561i
\(735\) 327491. 1.43483e6i 0.0223605 0.0979677i
\(736\) 6.68436e7 3.21902e7i 4.54847 2.19043i
\(737\) −3.26703e6 −0.221556
\(738\) 1.89659e7 1.28183
\(739\) 1.84970e7 8.90770e6i 1.24592 0.600005i 0.309507 0.950897i \(-0.399836\pi\)
0.936416 + 0.350893i \(0.114122\pi\)
\(740\) −7.16630e6 3.13976e7i −0.481078 2.10774i
\(741\) 83877.2 + 40393.1i 0.00561175 + 0.00270248i
\(742\) 1.34619e6 + 5.89806e6i 0.0897630 + 0.393277i
\(743\) −1.52386e7 1.91087e7i −1.01268 1.26987i −0.962544 0.271124i \(-0.912605\pi\)
−0.0501402 0.998742i \(-0.515967\pi\)
\(744\) 6.87495e6 3.31080e6i 0.455341 0.219281i
\(745\) 1.67180e7 + 2.09637e7i 1.10355 + 1.38381i
\(746\) 2.36328e6 1.03542e7i 0.155478 0.681194i
\(747\) 2.80721e6 + 1.35188e6i 0.184066 + 0.0886415i
\(748\) −2.19329e7 1.05623e7i −1.43332 0.690249i
\(749\) −2.30985e6 + 2.89645e6i −0.150445 + 0.188652i
\(750\) −1.45897e6 + 6.39215e6i −0.0947092 + 0.414948i
\(751\) 4.74358e6 + 2.07830e7i 0.306907 + 1.34465i 0.859475 + 0.511178i \(0.170791\pi\)
−0.552568 + 0.833468i \(0.686352\pi\)
\(752\) −218334. + 273783.i −0.0140792 + 0.0176547i
\(753\) 3.42258e6 4.29178e6i 0.219971 0.275836i
\(754\) −851367. 3.73008e6i −0.0545367 0.238941i
\(755\) −6.63040e6 + 2.90497e7i −0.423324 + 1.85470i
\(756\) −1.99146e7 + 2.49721e7i −1.26726 + 1.58910i
\(757\) −8.95786e6 4.31388e6i −0.568152 0.273608i 0.127676 0.991816i \(-0.459248\pi\)
−0.695828 + 0.718208i \(0.744962\pi\)
\(758\) −2.58252e7 1.24368e7i −1.63257 0.786203i