Properties

Label 43.6.e.a.4.1
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 4.1
Character \(\chi\) \(=\) 43.4
Dual form 43.6.e.a.11.1

$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −7.04063 + 8.82868i −1.24462 + 1.56070i −0.574235 + 0.818691i \(0.694700\pi\)
−0.670385 + 0.742013i \(0.733871\pi\)
\(3\) 3.19853 + 4.01083i 0.205186 + 0.257295i 0.873768 0.486344i \(-0.161670\pi\)
−0.668582 + 0.743639i \(0.733098\pi\)
\(4\) −21.2543 93.1212i −0.664197 2.91004i
\(5\) 78.2981 + 37.7064i 1.40064 + 0.674512i 0.973291 0.229576i \(-0.0737338\pi\)
0.427347 + 0.904087i \(0.359448\pi\)
\(6\) −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 −0.864707 0.502276i \(-0.832496\pi\)
0.997004 0.0773526i \(-0.0246467\pi\)
\(12\) 305.511 383.099i 0.612455 0.767994i
\(13\) −64.9281 31.2677i −0.106555 0.0513142i 0.379847 0.925049i \(-0.375977\pi\)
−0.486402 + 0.873735i \(0.661691\pi\)
\(14\) −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 0.0159820 0.999872i \(-0.494913\pi\)
0.791696 + 0.610915i \(0.209198\pi\)
\(18\) 1525.58 + 1913.02i 1.10983 + 1.39168i
\(19\) 56.0352 + 245.506i 0.0356104 + 0.156019i 0.989607 0.143798i \(-0.0459315\pi\)
−0.953997 + 0.299817i \(0.903074\pi\)
\(20\) 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 0.784413 + 0.620239i \(0.212965\pi\)
−0.975843 + 0.218473i \(0.929893\pi\)
\(24\) 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 −0.991889 0.127105i \(-0.959431\pi\)
0.344635 + 0.938737i \(0.388003\pi\)
\(30\) −4535.81 2184.33i −0.920135 0.443114i
\(31\) 1293.01 1621.38i 0.241656 0.303027i −0.646182 0.763183i \(-0.723635\pi\)
0.887838 + 0.460156i \(0.152207\pi\)
\(32\) 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 −0.504898 0.863179i \(-0.668470\pi\)
0.953888 + 0.300164i \(0.0970415\pi\)
\(42\) −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 0.975436 0.220285i \(-0.0706988\pi\)
−0.974415 + 0.224756i \(0.927842\pi\)
\(48\) −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 −0.515254 0.857037i \(-0.672303\pi\)
0.348803 + 0.937196i \(0.386588\pi\)
\(54\) −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 −0.784219 0.620484i \(-0.786936\pi\)
−0.00383885 + 0.999993i \(0.501222\pi\)
\(60\) 38366.2 18476.2i 1.37585 0.662574i
\(61\) −25825.0 32383.5i −0.888618 1.11429i −0.992806 0.119734i \(-0.961796\pi\)
0.104188 0.994558i \(-0.466776\pi\)
\(62\) 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 0.916393 0.400280i \(-0.131087\pi\)
−0.999316 + 0.0369683i \(0.988230\pi\)
\(68\) −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 0.997836 + 0.0657571i \(0.0209462\pi\)
−0.870488 + 0.492190i \(0.836197\pi\)
\(72\) 96899.0 121507.i 2.20286 2.76231i
\(73\) −4343.37 2091.66i −0.0953937 0.0459392i 0.385578 0.922675i \(-0.374002\pi\)
−0.480972 + 0.876736i \(0.659716\pi\)
\(74\) 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 0.848109 0.529822i \(-0.177741\pi\)
−0.705260 + 0.708948i \(0.749170\pi\)
\(84\) 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 0.995982 0.0895527i \(-0.0285437\pi\)
−0.308934 + 0.951083i \(0.599972\pi\)
\(90\) 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 0.567636 + 0.823279i \(0.307858\pi\)
−0.868630 + 0.495461i \(0.834999\pi\)
\(98\) −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 −0.856407 0.516302i \(-0.827308\pi\)
0.547581 0.836753i \(-0.315549\pi\)
\(102\) −55752.5 + 26849.0i −0.530596 + 0.255522i
\(103\) −46232.4 + 22264.3i −0.429391 + 0.206784i −0.636081 0.771623i \(-0.719445\pi\)
0.206689 + 0.978407i \(0.433731\pi\)
\(104\) −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 0.708290 0.705922i \(-0.249467\pi\)
−0.845832 + 0.533449i \(0.820896\pi\)
\(108\) −140438. 176104.i −1.15858 1.45281i
\(109\) 5955.00 26090.6i 0.0480082 0.210338i −0.945235 0.326391i \(-0.894167\pi\)
0.993243 + 0.116054i \(0.0370244\pi\)
\(110\) 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 −0.0460879 0.998937i \(-0.514675\pi\)
0.752265 + 0.658860i \(0.228961\pi\)
\(114\) −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 0.222317 + 0.974975i \(0.428638\pi\)
−1.00000 0.000209514i \(0.999933\pi\)
\(128\) −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 −0.521021 0.853544i \(-0.674449\pi\)
0.948082 + 0.318027i \(0.103020\pi\)
\(132\) −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 −0.133813 0.991007i \(-0.542722\pi\)
−0.858231 + 0.513263i \(0.828436\pi\)
\(138\) 28134.2 123264.i 0.125758 0.550983i
\(139\) −323752. + 155911.i −1.42127 + 0.684445i −0.977351 0.211624i \(-0.932125\pi\)
−0.443914 + 0.896069i \(0.646411\pi\)
\(140\) 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 −0.674865 0.737942i \(-0.735798\pi\)
0.928213 0.372050i \(-0.121345\pi\)
\(150\) −159911. 200522.i −0.580296 0.727668i
\(151\) −213775. 268065.i −0.762983 0.956750i 0.236908 0.971532i \(-0.423866\pi\)
−0.999891 + 0.0147820i \(0.995295\pi\)
\(152\) −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 −0.625455 0.780260i \(-0.715087\pi\)
0.224973 0.974365i \(-0.427771\pi\)
\(158\) −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 0.683067 + 0.730356i \(0.260646\pi\)
−0.932311 + 0.361656i \(0.882211\pi\)
\(164\) −667040. 321230.i −1.93661 0.932623i
\(165\) 106371. 0.304167
\(166\) −162377. −0.457355
\(167\) 490298. + 236115.i 1.36041 + 0.655138i 0.964728 0.263250i \(-0.0847944\pi\)
0.395681 + 0.918388i \(0.370509\pi\)
\(168\) 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 −0.799698 0.600403i \(-0.795007\pi\)
0.981008 0.193968i \(-0.0621358\pi\)
\(182\) 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 0.998049 + 0.0624410i \(0.0198885\pi\)
−0.872119 + 0.489295i \(0.837254\pi\)
\(192\) −253982. + 1.11277e6i −0.497221 + 2.17847i
\(193\) −385334. 483194.i −0.744637 0.933745i 0.254810 0.966991i \(-0.417987\pi\)
−0.999447 + 0.0332460i \(0.989416\pi\)
\(194\) −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 −0.973225 0.229853i \(-0.926175\pi\)
−0.00752717 0.999972i \(-0.502396\pi\)
\(198\) 525987. 253302.i 0.953482 0.459173i
\(199\) −552904. + 266264.i −0.989730 + 0.476629i −0.857441 0.514582i \(-0.827947\pi\)
−0.132289 + 0.991211i \(0.542233\pi\)
\(200\) 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 0.816050 + 0.577981i \(0.196159\pi\)
−0.484459 + 0.874814i \(0.660984\pi\)
\(212\) 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 0.839883 0.542767i \(-0.182623\pi\)
0.0993061 + 0.995057i \(0.468338\pi\)
\(224\) 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 −0.279453 0.960159i \(-0.590153\pi\)
0.998270 + 0.0587907i \(0.0187245\pi\)
\(228\) 111172. + 53537.8i 0.141632 + 0.0682062i
\(229\) 382688. 479876.i 0.482233 0.604701i −0.479886 0.877331i \(-0.659322\pi\)
0.962119 + 0.272630i \(0.0878935\pi\)
\(230\) −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 0.958050 + 0.286601i \(0.0925255\pi\)
0.0662293 + 0.997804i \(0.478903\pi\)
\(234\) −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 0.999446 0.0332780i \(-0.0105947\pi\)
−0.914909 + 0.403661i \(0.867738\pi\)
\(240\) −1.40173e6 1.75771e6i −1.57085 1.96979i
\(241\) −715911. + 344764.i −0.793992 + 0.382367i −0.786488 0.617605i \(-0.788103\pi\)
−0.00750406 + 0.999972i \(0.502389\pi\)
\(242\) −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 0.489439 0.872037i \(-0.337201\pi\)
−0.376626 + 0.926365i \(0.622916\pi\)
\(264\) 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 0.681243 + 0.732057i \(0.261440\pi\)
−0.931407 + 0.363981i \(0.881417\pi\)
\(270\) −1.44289e6 + 1.80932e6i −1.20454 + 1.51045i
\(271\) −1.67264e6 805502.i −1.38350 0.666260i −0.413759 0.910386i \(-0.635784\pi\)
−0.969743 + 0.244127i \(0.921499\pi\)
\(272\) −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 −0.964121 0.265464i \(-0.914475\pi\)
0.753462 0.657491i \(-0.228382\pi\)
\(278\) 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 −0.974878 0.222740i \(-0.928500\pi\)
0.974978 + 0.222302i \(0.0713570\pi\)
\(282\) −895.150 3921.91i −0.000670306 0.00293680i
\(283\) 521702. + 654193.i 0.387219 + 0.485557i 0.936791 0.349889i \(-0.113781\pi\)
−0.549572 + 0.835446i \(0.685209\pi\)
\(284\) 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 0.0990171 0.995086i \(-0.468430\pi\)
−0.716253 + 0.697841i \(0.754144\pi\)
\(294\) −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 −0.992193 0.124710i \(-0.960200\pi\)
−0.521120 + 0.853484i \(0.674486\pi\)
\(312\) 59003.9 258513.i 0.0343158 0.150347i
\(313\) 52660.7 66034.5i 0.0303827 0.0380987i −0.766408 0.642354i \(-0.777958\pi\)
0.796791 + 0.604255i \(0.206529\pi\)
\(314\) 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 −0.620122 0.784506i \(-0.712917\pi\)
0.226712 + 0.973962i \(0.427203\pi\)
\(318\) 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 −0.0548000 0.998497i \(-0.517452\pi\)
−0.814824 + 0.579709i \(0.803166\pi\)
\(332\) 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 0.519281 0.854604i \(-0.326200\pi\)
−0.948728 + 0.316094i \(0.897628\pi\)
\(348\) 512636. + 2.24601e6i 0.226914 + 0.994175i
\(349\) −2.99109e6 1.44043e6i −1.31451 0.633037i −0.360489 0.932763i \(-0.617390\pi\)
−0.954025 + 0.299727i \(0.903104\pi\)
\(350\) −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 −0.994142 0.108080i \(-0.965530\pi\)
0.942585 + 0.333966i \(0.108387\pi\)
\(354\) 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 0.881596 + 0.472005i \(0.156469\pi\)
−0.589495 + 0.807772i \(0.700673\pi\)
\(360\) 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 −0.979644 0.200741i \(-0.935665\pi\)
0.969727 + 0.244191i \(0.0785222\pi\)
\(368\) −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 −0.660649 0.750695i \(-0.729719\pi\)
0.878882 + 0.477040i \(0.158290\pi\)
\(374\) 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 0.795537 0.605905i \(-0.207189\pi\)
0.0222938 + 0.999751i \(0.492903\pi\)
\(380\) 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 0.987247 0.159195i \(-0.0508898\pi\)
−0.958551 + 0.284921i \(0.908033\pi\)
\(384\) −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 −0.192382 + 0.981320i \(0.561621\pi\)
−0.913907 + 0.405923i \(0.866950\pi\)
\(390\) 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 −0.176229 0.984349i \(-0.556390\pi\)
0.659718 + 0.751513i \(0.270676\pi\)
\(398\) 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 −0.752712 0.658349i \(-0.771255\pi\)
0.809337 + 0.587344i \(0.199826\pi\)
\(402\) 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 0.990603 + 0.136770i \(0.0436721\pi\)
−0.0870891 + 0.996201i \(0.527756\pi\)
\(410\) −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 0.883657 + 0.468135i \(0.155074\pi\)
−0.999264 + 0.0383708i \(0.987783\pi\)
\(420\) 5.44045e6 2.61998e6i 1.50491 0.724728i
\(421\) −297875. + 1.30508e6i −0.0819084 + 0.358864i −0.999228 0.0392876i \(-0.987491\pi\)
0.917320 + 0.398152i \(0.130348\pi\)
\(422\) −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 0.955881 0.293755i \(-0.0949051\pi\)
−0.499094 + 0.866548i \(0.666334\pi\)
\(434\) 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 −0.424898 0.905241i \(-0.639690\pi\)
0.775589 0.631238i \(-0.217453\pi\)
\(440\) 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 0.169242 0.985575i \(-0.445868\pi\)
−0.665033 + 0.746814i \(0.731582\pi\)
\(444\) −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 0.936888 0.349629i \(-0.113692\pi\)
−0.995805 + 0.0914956i \(0.970835\pi\)
\(450\) −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 0.238009 0.971263i \(-0.423505\pi\)
0.907760 + 0.419490i \(0.137791\pi\)
\(458\) 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 −0.964602 0.263712i \(-0.915053\pi\)
0.471744 + 0.881736i \(0.343625\pi\)
\(462\) −436134. + 1.91083e6i −0.0950637 + 0.416501i
\(463\) 2.81706e6 1.35662e6i 0.610722 0.294108i −0.102843 0.994698i \(-0.532794\pi\)
0.713565 + 0.700589i \(0.247080\pi\)
\(464\) 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 −0.547122 0.837053i \(-0.684276\pi\)
0.937813 + 0.347142i \(0.112848\pi\)
\(488\) −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 −0.906831 0.421495i \(-0.861505\pi\)
−0.209139 0.977886i \(-0.567066\pi\)
\(492\) −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 −0.575432 0.817850i \(-0.695166\pi\)
0.280645 + 0.959812i \(0.409452\pi\)
\(500\) 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 −0.392185 0.919886i \(-0.628281\pi\)
−0.963720 + 0.266917i \(0.913995\pi\)
\(504\) 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 0.950216 0.311593i \(-0.100863\pi\)
0.348836 + 0.937184i \(0.386577\pi\)
\(522\) −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 0.842234 0.539112i \(-0.181240\pi\)
−0.713010 + 0.701153i \(0.752669\pi\)
\(542\) 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 −0.704777 0.709429i \(-0.748953\pi\)
0.848470 + 0.529244i \(0.177524\pi\)
\(548\) −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 −0.507624 0.861579i \(-0.669476\pi\)
0.952934 + 0.303177i \(0.0980473\pi\)
\(558\) 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 0.772068 + 0.635540i \(0.219222\pi\)
−0.419859 + 0.907589i \(0.637921\pi\)
\(564\) 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 −0.672047 0.740508i \(-0.734585\pi\)
0.159938 + 0.987127i \(0.448871\pi\)
\(570\) 282102. 1.23597e6i 0.0363679 0.159338i
\(571\) 3.95265e6 4.95647e6i 0.507339 0.636183i −0.460528 0.887645i \(-0.652340\pi\)
0.967867 + 0.251462i \(0.0809114\pi\)
\(572\) 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 −0.996146 0.0877115i \(-0.972045\pi\)
0.136151 0.990688i \(-0.456527\pi\)
\(578\) −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 0.974003 0.226534i \(-0.0727396\pi\)
−0.975836 + 0.218504i \(0.929882\pi\)
\(588\) 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 −0.885487 0.464663i \(-0.846175\pi\)
0.999406 0.0344488i \(-0.0109676\pi\)
\(594\) 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 0.819465 0.573129i \(-0.194271\pi\)
−0.741108 + 0.671386i \(0.765699\pi\)
\(600\) −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 0.594651 0.803984i \(-0.297290\pi\)
−0.257821 + 0.966193i \(0.583005\pi\)
\(608\) 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 −0.783444 0.621463i \(-0.786539\pi\)
0.975501 0.219995i \(-0.0706041\pi\)
\(614\) 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 0.993547 0.113424i \(-0.0361817\pi\)
−0.944367 + 0.328893i \(0.893325\pi\)
\(618\) 2.67824e6 1.28977e6i 0.282084 0.135845i
\(619\) −8.23320e6 + 3.96490e6i −0.863659 + 0.415916i −0.812629 0.582781i \(-0.801965\pi\)
−0.0510294 + 0.998697i \(0.516250\pi\)
\(620\) −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 −0.571513 0.820593i \(-0.693643\pi\)
0.927192 + 0.374585i \(0.122215\pi\)
\(632\) 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 0.945757 + 0.324876i \(0.105323\pi\)
−0.711139 + 0.703052i \(0.751820\pi\)
\(642\) 943627. + 1.18327e6i 0.0903573 + 0.113304i
\(643\) 5.46196e6 6.84908e6i 0.520980 0.653288i −0.449837 0.893111i \(-0.648518\pi\)
0.970817 + 0.239823i \(0.0770894\pi\)
\(644\) 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 −0.397033 0.917804i \(-0.629960\pi\)
0.983141 + 0.182848i \(0.0585317\pi\)
\(648\) −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 0.753295 0.657682i \(-0.228463\pi\)
−0.0445248 + 0.999008i \(0.514177\pi\)
\(654\) −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 −0.915928 0.401343i \(-0.868543\pi\)
0.595094 + 0.803656i \(0.297115\pi\)
\(660\) −2.26083e6 9.90536e6i −0.202027 0.885137i
\(661\) −7.30008e6 + 3.51553e6i −0.649866 + 0.312959i −0.729617 0.683856i \(-0.760302\pi\)
0.0797510 + 0.996815i \(0.474587\pi\)
\(662\) 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 0.993620 + 0.112776i \(0.0359743\pi\)
−0.846289 + 0.532724i \(0.821169\pi\)
\(674\) −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 −0.833641 0.552306i \(-0.813748\pi\)
0.990722 0.135907i \(-0.0433948\pi\)
\(678\) −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 0.641302 0.767288i \(-0.278395\pi\)
−0.200045 + 0.979787i \(0.564109\pi\)
\(684\) −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 0.938613 0.344971i \(-0.112111\pi\)
−0.545183 + 0.838317i \(0.683540\pi\)
\(692\) 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 0.197992 0.980204i \(-0.436558\pi\)
−0.642908 + 0.765943i \(0.722272\pi\)
\(702\) 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 0.678308 0.734778i \(-0.262714\pi\)
−0.867293 + 0.497798i \(0.834142\pi\)
\(710\) −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 −0.745237 0.666800i \(-0.767664\pi\)
0.815913 + 0.578175i \(0.196235\pi\)
\(720\) −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 −0.905623 0.424083i \(-0.860596\pi\)
0.631935 0.775021i \(-0.282261\pi\)
\(728\) −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 −0.767621 0.640904i \(-0.778560\pi\)
0.795647 + 0.605760i \(0.207131\pi\)
\(734\) −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 0.936416 0.350893i \(-0.114122\pi\)
0.309507 + 0.950897i \(0.399836\pi\)
\(740\) −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 −0.0501402 + 0.998742i \(0.515967\pi\)
−0.962544 + 0.271124i \(0.912605\pi\)
\(744\) 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 −0.552568 0.833468i \(-0.686352\pi\)
0.859475 0.511178i \(-0.170791\pi\)
\(752\) −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 −0.695828 0.718208i \(-0.744962\pi\)
0.127676 + 0.991816i \(0.459248\pi\)
\(758\) −2.58252e7 + 1.24368e7i −1.63257 + 0.786203i