Properties

Label 43.5.h.a.26.3
Level 43
Weight 5
Character 43.26
Analytic conductor 4.445
Analytic rank 0
Dimension 168
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 43.h (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.44490841261\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(14\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 26.3
Character \(\chi\) \(=\) 43.26
Dual form 43.5.h.a.5.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-6.02577 + 1.37534i) q^{2} +(4.35150 + 14.1072i) q^{3} +(20.0029 - 9.63287i) q^{4} +(39.0145 + 15.3121i) q^{5} +(-45.6234 - 79.0220i) q^{6} +(34.4295 + 19.8779i) q^{7} +(-29.9675 + 23.8983i) q^{8} +(-113.152 + 77.1459i) q^{9} +O(q^{10})\) \(q+(-6.02577 + 1.37534i) q^{2} +(4.35150 + 14.1072i) q^{3} +(20.0029 - 9.63287i) q^{4} +(39.0145 + 15.3121i) q^{5} +(-45.6234 - 79.0220i) q^{6} +(34.4295 + 19.8779i) q^{7} +(-29.9675 + 23.8983i) q^{8} +(-113.152 + 77.1459i) q^{9} +(-256.152 - 38.6087i) q^{10} +(81.4184 + 39.2090i) q^{11} +(222.935 + 240.267i) q^{12} +(-57.9087 + 8.72833i) q^{13} +(-234.803 - 72.4272i) q^{14} +(-46.2390 + 617.016i) q^{15} +(-73.7696 + 92.5042i) q^{16} +(-195.427 - 497.941i) q^{17} +(575.728 - 620.487i) q^{18} +(141.992 - 208.265i) q^{19} +(927.902 - 69.5366i) q^{20} +(-130.601 + 572.202i) q^{21} +(-544.534 - 124.286i) q^{22} +(-43.4576 - 579.902i) q^{23} +(-467.541 - 318.764i) q^{24} +(829.517 + 769.680i) q^{25} +(336.940 - 132.239i) q^{26} +(-645.773 - 514.987i) q^{27} +(880.169 + 65.9596i) q^{28} +(129.368 - 419.401i) q^{29} +(-569.984 - 3781.60i) q^{30} +(-1133.81 + 1052.02i) q^{31} +(583.385 - 1211.41i) q^{32} +(-198.838 + 1319.20i) q^{33} +(1862.44 + 2731.70i) q^{34} +(1038.88 + 1302.71i) q^{35} +(-1520.23 + 2633.12i) q^{36} +(-115.344 + 66.5939i) q^{37} +(-569.178 + 1450.24i) q^{38} +(-375.122 - 778.948i) q^{39} +(-1535.10 + 473.516i) q^{40} +(266.996 + 1169.78i) q^{41} -3627.58i q^{42} +(-790.071 - 1671.70i) q^{43} +2006.30 q^{44} +(-5595.85 + 1277.22i) q^{45} +(1059.43 + 3434.59i) q^{46} +(3040.94 - 1464.44i) q^{47} +(-1625.98 - 638.151i) q^{48} +(-410.241 - 710.558i) q^{49} +(-6057.06 - 3497.04i) q^{50} +(6174.15 - 4923.72i) q^{51} +(-1074.26 + 732.419i) q^{52} +(-3330.68 - 502.020i) q^{53} +(4599.56 + 2215.03i) q^{54} +(2576.13 + 2776.41i) q^{55} +(-1506.81 + 227.115i) q^{56} +(3555.91 + 1096.85i) q^{57} +(-202.722 + 2705.14i) q^{58} +(1254.11 - 1572.60i) q^{59} +(5018.73 + 12787.5i) q^{60} +(-275.354 + 296.761i) q^{61} +(5385.17 - 7898.59i) q^{62} +(-5429.27 + 406.868i) q^{63} +(-1427.99 + 6256.43i) q^{64} +(-2392.93 - 546.171i) q^{65} +(-616.205 - 8222.69i) q^{66} +(685.800 + 467.570i) q^{67} +(-8705.71 - 8077.71i) q^{68} +(7991.69 - 3136.51i) q^{69} +(-8051.73 - 6421.04i) q^{70} +(473.632 + 35.4938i) q^{71} +(1547.24 - 5016.01i) q^{72} +(979.740 + 6500.15i) q^{73} +(603.448 - 559.918i) q^{74} +(-7248.39 + 15051.4i) q^{75} +(834.068 - 5533.68i) q^{76} +(2023.80 + 2968.37i) q^{77} +(3331.72 + 4177.84i) q^{78} +(2417.47 - 4187.18i) q^{79} +(-4294.52 + 2479.44i) q^{80} +(402.273 - 1024.98i) q^{81} +(-3217.71 - 6681.65i) q^{82} +(-1519.13 + 468.591i) q^{83} +(2899.55 + 12703.7i) q^{84} -22419.3i q^{85} +(7059.95 + 8986.68i) q^{86} +6479.52 q^{87} +(-3376.93 + 770.763i) q^{88} +(2331.76 + 7559.39i) q^{89} +(31962.7 - 15392.4i) q^{90} +(-2167.27 - 850.590i) q^{91} +(-6455.40 - 11181.1i) q^{92} +(-19774.8 - 11417.0i) q^{93} +(-16309.9 + 13006.7i) q^{94} +(8728.73 - 5951.15i) q^{95} +(19628.2 + 2958.48i) q^{96} +(-3960.07 - 1907.07i) q^{97} +(3449.28 + 3717.44i) q^{98} +(-12237.5 + 1844.50i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168q - 14q^{2} - 20q^{3} + 220q^{4} - 11q^{5} - 22q^{6} - 150q^{7} + 322q^{8} - 660q^{9} + O(q^{10}) \) \( 168q - 14q^{2} - 20q^{3} + 220q^{4} - 11q^{5} - 22q^{6} - 150q^{7} + 322q^{8} - 660q^{9} - 105q^{10} + 362q^{11} + 1124q^{12} - 166q^{13} - 876q^{14} + 1157q^{15} - 2752q^{16} - 37q^{17} + 988q^{18} - 1004q^{19} + 1909q^{20} - 2265q^{21} + 2338q^{22} - 976q^{23} + 3016q^{24} - 2199q^{25} + 1957q^{26} - 14q^{27} + 2022q^{28} + 571q^{29} - 7896q^{30} - 7476q^{31} + 21616q^{32} - 2900q^{33} - 1559q^{34} - 1623q^{35} - 9123q^{36} - 11949q^{37} - 19394q^{38} + 175q^{39} - 10317q^{40} - 4162q^{41} + 1005q^{43} + 744q^{44} + 16632q^{45} + 34415q^{46} + 8486q^{47} + 37831q^{48} + 20918q^{49} + 14433q^{50} + 25270q^{51} - 40864q^{52} - 7522q^{53} + 23330q^{54} - 30896q^{55} - 38943q^{56} + 14884q^{57} - 2644q^{58} - 2743q^{59} - 15231q^{60} - 164q^{61} + 15097q^{62} - 22771q^{63} - 7274q^{64} + 19138q^{65} + 16631q^{66} - 31599q^{67} - 17923q^{68} + 49515q^{69} + 69209q^{70} - 2057q^{71} + 62621q^{72} - 19678q^{73} - 86988q^{74} - 28525q^{75} - 38694q^{76} - 65721q^{77} - 112636q^{78} - 293q^{79} - 99738q^{80} - 38860q^{81} - 40460q^{82} - 45580q^{83} - 28041q^{84} + 6292q^{86} + 2598q^{87} + 48902q^{88} + 83608q^{89} + 180383q^{90} + 62161q^{91} + 39390q^{92} + 203670q^{93} + 199878q^{94} - 20897q^{95} + 59662q^{96} + 93627q^{97} - 40724q^{98} + 26734q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{17}{42}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −6.02577 + 1.37534i −1.50644 + 0.343836i −0.894501 0.447067i \(-0.852469\pi\)
−0.611942 + 0.790902i \(0.709612\pi\)
\(3\) 4.35150 + 14.1072i 0.483499 + 1.56747i 0.788450 + 0.615099i \(0.210884\pi\)
−0.304951 + 0.952368i \(0.598640\pi\)
\(4\) 20.0029 9.63287i 1.25018 0.602054i
\(5\) 39.0145 + 15.3121i 1.56058 + 0.612483i 0.979515 0.201372i \(-0.0645402\pi\)
0.581067 + 0.813856i \(0.302635\pi\)
\(6\) −45.6234 79.0220i −1.26732 2.19506i
\(7\) 34.4295 + 19.8779i 0.702642 + 0.405671i 0.808331 0.588728i \(-0.200371\pi\)
−0.105688 + 0.994399i \(0.533705\pi\)
\(8\) −29.9675 + 23.8983i −0.468242 + 0.373411i
\(9\) −113.152 + 77.1459i −1.39694 + 0.952419i
\(10\) −256.152 38.6087i −2.56152 0.386087i
\(11\) 81.4184 + 39.2090i 0.672879 + 0.324042i 0.738937 0.673774i \(-0.235328\pi\)
−0.0660581 + 0.997816i \(0.521042\pi\)
\(12\) 222.935 + 240.267i 1.54816 + 1.66852i
\(13\) −57.9087 + 8.72833i −0.342655 + 0.0516469i −0.318116 0.948052i \(-0.603050\pi\)
−0.0245394 + 0.999699i \(0.507812\pi\)
\(14\) −234.803 72.4272i −1.19798 0.369526i
\(15\) −46.2390 + 617.016i −0.205507 + 2.74230i
\(16\) −73.7696 + 92.5042i −0.288163 + 0.361344i
\(17\) −195.427 497.941i −0.676219 1.72298i −0.690760 0.723084i \(-0.742724\pi\)
0.0145408 0.999894i \(-0.495371\pi\)
\(18\) 575.728 620.487i 1.77694 1.91508i
\(19\) 141.992 208.265i 0.393331 0.576910i −0.577585 0.816330i \(-0.696005\pi\)
0.970916 + 0.239420i \(0.0769573\pi\)
\(20\) 927.902 69.5366i 2.31975 0.173842i
\(21\) −130.601 + 572.202i −0.296148 + 1.29751i
\(22\) −544.534 124.286i −1.12507 0.256790i
\(23\) −43.4576 579.902i −0.0821506 1.09622i −0.874135 0.485682i \(-0.838571\pi\)
0.791985 0.610541i \(-0.209048\pi\)
\(24\) −467.541 318.764i −0.811703 0.553410i
\(25\) 829.517 + 769.680i 1.32723 + 1.23149i
\(26\) 336.940 132.239i 0.498432 0.195620i
\(27\) −645.773 514.987i −0.885834 0.706429i
\(28\) 880.169 + 65.9596i 1.12266 + 0.0841321i
\(29\) 129.368 419.401i 0.153827 0.498693i −0.845554 0.533890i \(-0.820730\pi\)
0.999380 + 0.0351967i \(0.0112058\pi\)
\(30\) −569.984 3781.60i −0.633315 4.20177i
\(31\) −1133.81 + 1052.02i −1.17982 + 1.09471i −0.186131 + 0.982525i \(0.559595\pi\)
−0.993687 + 0.112186i \(0.964215\pi\)
\(32\) 583.385 1211.41i 0.569712 1.18302i
\(33\) −198.838 + 1319.20i −0.182588 + 1.21139i
\(34\) 1862.44 + 2731.70i 1.61111 + 2.36306i
\(35\) 1038.88 + 1302.71i 0.848064 + 1.06344i
\(36\) −1520.23 + 2633.12i −1.17302 + 2.03173i
\(37\) −115.344 + 66.5939i −0.0842543 + 0.0486442i −0.541535 0.840678i \(-0.682157\pi\)
0.457281 + 0.889322i \(0.348823\pi\)
\(38\) −569.178 + 1450.24i −0.394168 + 1.00432i
\(39\) −375.122 778.948i −0.246628 0.512129i
\(40\) −1535.10 + 473.516i −0.959438 + 0.295947i
\(41\) 266.996 + 1169.78i 0.158831 + 0.695886i 0.990141 + 0.140076i \(0.0447347\pi\)
−0.831309 + 0.555810i \(0.812408\pi\)
\(42\) 3627.58i 2.05645i
\(43\) −790.071 1671.70i −0.427296 0.904112i
\(44\) 2006.30 1.03631
\(45\) −5595.85 + 1277.22i −2.76338 + 0.630724i
\(46\) 1059.43 + 3434.59i 0.500676 + 1.62315i
\(47\) 3040.94 1464.44i 1.37662 0.662943i 0.408341 0.912830i \(-0.366108\pi\)
0.968275 + 0.249886i \(0.0803932\pi\)
\(48\) −1625.98 638.151i −0.705722 0.276975i
\(49\) −410.241 710.558i −0.170862 0.295942i
\(50\) −6057.06 3497.04i −2.42282 1.39882i
\(51\) 6174.15 4923.72i 2.37376 1.89301i
\(52\) −1074.26 + 732.419i −0.397286 + 0.270865i
\(53\) −3330.68 502.020i −1.18572 0.178718i −0.473576 0.880753i \(-0.657037\pi\)
−0.712142 + 0.702035i \(0.752275\pi\)
\(54\) 4599.56 + 2215.03i 1.57735 + 0.759613i
\(55\) 2576.13 + 2776.41i 0.851613 + 0.917820i
\(56\) −1506.81 + 227.115i −0.480489 + 0.0724220i
\(57\) 3555.91 + 1096.85i 1.09446 + 0.337597i
\(58\) −202.722 + 2705.14i −0.0602623 + 0.804144i
\(59\) 1254.11 1572.60i 0.360271 0.451766i −0.568354 0.822784i \(-0.692420\pi\)
0.928626 + 0.371018i \(0.120991\pi\)
\(60\) 5018.73 + 12787.5i 1.39409 + 3.55209i
\(61\) −275.354 + 296.761i −0.0740000 + 0.0797530i −0.768966 0.639289i \(-0.779229\pi\)
0.694966 + 0.719042i \(0.255419\pi\)
\(62\) 5385.17 7898.59i 1.40093 2.05478i
\(63\) −5429.27 + 406.868i −1.36792 + 0.102511i
\(64\) −1427.99 + 6256.43i −0.348630 + 1.52745i
\(65\) −2392.93 546.171i −0.566374 0.129271i
\(66\) −616.205 8222.69i −0.141461 1.88767i
\(67\) 685.800 + 467.570i 0.152773 + 0.104159i 0.637294 0.770621i \(-0.280054\pi\)
−0.484521 + 0.874780i \(0.661006\pi\)
\(68\) −8705.71 8077.71i −1.88272 1.74691i
\(69\) 7991.69 3136.51i 1.67857 0.658791i
\(70\) −8051.73 6421.04i −1.64321 1.31042i
\(71\) 473.632 + 35.4938i 0.0939560 + 0.00704103i 0.121625 0.992576i \(-0.461189\pi\)
−0.0276691 + 0.999617i \(0.508808\pi\)
\(72\) 1547.24 5016.01i 0.298464 0.967595i
\(73\) 979.740 + 6500.15i 0.183851 + 1.21977i 0.870274 + 0.492568i \(0.163942\pi\)
−0.686423 + 0.727202i \(0.740820\pi\)
\(74\) 603.448 559.918i 0.110199 0.102249i
\(75\) −7248.39 + 15051.4i −1.28860 + 2.67581i
\(76\) 834.068 5533.68i 0.144402 0.958047i
\(77\) 2023.80 + 2968.37i 0.341339 + 0.500653i
\(78\) 3331.72 + 4177.84i 0.547620 + 0.686694i
\(79\) 2417.47 4187.18i 0.387353 0.670915i −0.604739 0.796423i \(-0.706723\pi\)
0.992093 + 0.125508i \(0.0400561\pi\)
\(80\) −4294.52 + 2479.44i −0.671019 + 0.387413i
\(81\) 402.273 1024.98i 0.0613128 0.156222i
\(82\) −3217.71 6681.65i −0.478541 0.993701i
\(83\) −1519.13 + 468.591i −0.220516 + 0.0680201i −0.403044 0.915180i \(-0.632048\pi\)
0.182529 + 0.983201i \(0.441572\pi\)
\(84\) 2899.55 + 12703.7i 0.410934 + 1.80042i
\(85\) 22419.3i 3.10302i
\(86\) 7059.95 + 8986.68i 0.954564 + 1.21507i
\(87\) 6479.52 0.856061
\(88\) −3376.93 + 770.763i −0.436071 + 0.0995303i
\(89\) 2331.76 + 7559.39i 0.294377 + 0.954348i 0.975092 + 0.221799i \(0.0711930\pi\)
−0.680715 + 0.732548i \(0.738331\pi\)
\(90\) 31962.7 15392.4i 3.94601 1.90030i
\(91\) −2167.27 850.590i −0.261716 0.102716i
\(92\) −6455.40 11181.1i −0.762689 1.32102i
\(93\) −19774.8 11417.0i −2.28637 1.32003i
\(94\) −16309.9 + 13006.7i −1.84585 + 1.47202i
\(95\) 8728.73 5951.15i 0.967172 0.659407i
\(96\) 19628.2 + 2958.48i 2.12980 + 0.321016i
\(97\) −3960.07 1907.07i −0.420881 0.202685i 0.211442 0.977391i \(-0.432184\pi\)
−0.632323 + 0.774705i \(0.717898\pi\)
\(98\) 3449.28 + 3717.44i 0.359150 + 0.387072i
\(99\) −12237.5 + 1844.50i −1.24860 + 0.188196i
\(100\) 24007.0 + 7405.16i 2.40070 + 0.740516i
\(101\) 147.801 1972.26i 0.0144888 0.193340i −0.985263 0.171048i \(-0.945285\pi\)
0.999752 0.0222920i \(-0.00709635\pi\)
\(102\) −30432.2 + 38160.8i −2.92505 + 3.66790i
\(103\) −1973.44 5028.25i −0.186016 0.473961i 0.807195 0.590284i \(-0.200984\pi\)
−0.993211 + 0.116323i \(0.962889\pi\)
\(104\) 1526.79 1645.48i 0.141160 0.152134i
\(105\) −13857.0 + 20324.4i −1.25687 + 1.84349i
\(106\) 20760.4 1555.78i 1.84767 0.138463i
\(107\) −356.390 + 1561.45i −0.0311285 + 0.136383i −0.988104 0.153785i \(-0.950854\pi\)
0.956976 + 0.290167i \(0.0937109\pi\)
\(108\) −17878.1 4080.56i −1.53276 0.349842i
\(109\) 1350.64 + 18023.0i 0.113680 + 1.51696i 0.704238 + 0.709964i \(0.251289\pi\)
−0.590558 + 0.806995i \(0.701092\pi\)
\(110\) −19341.7 13186.9i −1.59849 1.08983i
\(111\) −1441.37 1337.40i −0.116985 0.108546i
\(112\) −4378.64 + 1718.49i −0.349062 + 0.136997i
\(113\) 18453.7 + 14716.3i 1.44520 + 1.15250i 0.960658 + 0.277734i \(0.0895835\pi\)
0.484538 + 0.874770i \(0.338988\pi\)
\(114\) −22935.6 1718.79i −1.76482 0.132255i
\(115\) 7184.03 23290.0i 0.543216 1.76106i
\(116\) −1452.30 9635.41i −0.107930 0.716068i
\(117\) 5879.15 5455.05i 0.429480 0.398499i
\(118\) −5394.09 + 11200.9i −0.387395 + 0.804434i
\(119\) 3169.54 21028.5i 0.223822 1.48496i
\(120\) −13360.0 19595.5i −0.927775 1.36080i
\(121\) −4036.91 5062.12i −0.275726 0.345750i
\(122\) 1251.07 2166.92i 0.0840549 0.145587i
\(123\) −15340.6 + 8856.87i −1.01398 + 0.585424i
\(124\) −12545.4 + 31965.2i −0.815908 + 2.07890i
\(125\) 9212.33 + 19129.6i 0.589589 + 1.22429i
\(126\) 32156.0 9918.80i 2.02545 0.624767i
\(127\) −233.899 1024.78i −0.0145018 0.0635365i 0.967159 0.254171i \(-0.0818026\pi\)
−0.981661 + 0.190635i \(0.938945\pi\)
\(128\) 18150.8i 1.10784i
\(129\) 20145.1 18420.1i 1.21057 1.10691i
\(130\) 15170.4 0.897658
\(131\) −1923.53 + 439.034i −0.112088 + 0.0255832i −0.278197 0.960524i \(-0.589737\pi\)
0.166109 + 0.986107i \(0.446880\pi\)
\(132\) 8730.39 + 28303.2i 0.501055 + 1.62438i
\(133\) 9028.58 4347.93i 0.510406 0.245799i
\(134\) −4775.54 1874.26i −0.265958 0.104381i
\(135\) −17309.0 29980.1i −0.949740 1.64500i
\(136\) 17756.4 + 10251.7i 0.960013 + 0.554264i
\(137\) 9539.49 7607.49i 0.508258 0.405322i −0.335505 0.942038i \(-0.608907\pi\)
0.843763 + 0.536716i \(0.180336\pi\)
\(138\) −43842.3 + 29891.2i −2.30216 + 1.56959i
\(139\) −947.952 142.881i −0.0490633 0.00739511i 0.124465 0.992224i \(-0.460279\pi\)
−0.173528 + 0.984829i \(0.555517\pi\)
\(140\) 33329.4 + 16050.6i 1.70048 + 0.818908i
\(141\) 33891.8 + 36526.7i 1.70473 + 1.83727i
\(142\) −2902.82 + 437.529i −0.143960 + 0.0216985i
\(143\) −5057.06 1559.90i −0.247301 0.0762823i
\(144\) 1210.88 16158.1i 0.0583951 0.779229i
\(145\) 11469.1 14381.9i 0.545500 0.684036i
\(146\) −14843.6 37821.0i −0.696361 1.77430i
\(147\) 8238.82 8879.33i 0.381268 0.410909i
\(148\) −1665.72 + 2443.16i −0.0760464 + 0.111540i
\(149\) −22412.0 + 1679.55i −1.00951 + 0.0756520i −0.569203 0.822197i \(-0.692748\pi\)
−0.440303 + 0.897849i \(0.645129\pi\)
\(150\) 22976.2 100665.i 1.02117 4.47402i
\(151\) 14953.3 + 3412.98i 0.655816 + 0.149686i 0.537465 0.843286i \(-0.319382\pi\)
0.118351 + 0.992972i \(0.462239\pi\)
\(152\) 722.009 + 9634.54i 0.0312504 + 0.417007i
\(153\) 60527.1 + 41266.7i 2.58564 + 1.76286i
\(154\) −16277.5 15103.3i −0.686351 0.636840i
\(155\) −60343.5 + 23683.1i −2.51170 + 0.985768i
\(156\) −15007.0 11967.7i −0.616659 0.491769i
\(157\) −10466.0 784.316i −0.424600 0.0318194i −0.139283 0.990253i \(-0.544480\pi\)
−0.285317 + 0.958433i \(0.592099\pi\)
\(158\) −8808.32 + 28555.9i −0.352841 + 1.14388i
\(159\) −7411.36 49171.1i −0.293159 1.94498i
\(160\) 41309.7 38329.8i 1.61366 1.49726i
\(161\) 10031.0 20829.6i 0.386983 0.803579i
\(162\) −1014.31 + 6729.53i −0.0386494 + 0.256422i
\(163\) −16417.0 24079.3i −0.617901 0.906294i 0.381939 0.924187i \(-0.375256\pi\)
−0.999840 + 0.0178935i \(0.994304\pi\)
\(164\) 16609.1 + 20827.1i 0.617529 + 0.774357i
\(165\) −27957.3 + 48423.5i −1.02690 + 1.77864i
\(166\) 8509.48 4912.95i 0.308807 0.178290i
\(167\) 8048.50 20507.2i 0.288591 0.735317i −0.710897 0.703296i \(-0.751711\pi\)
0.999487 0.0320202i \(-0.0101941\pi\)
\(168\) −9760.85 20268.6i −0.345835 0.718134i
\(169\) −24014.9 + 7407.61i −0.840828 + 0.259361i
\(170\) 30834.3 + 135094.i 1.06693 + 4.67453i
\(171\) 34519.7i 1.18053i
\(172\) −31907.0 25828.2i −1.07852 0.873046i
\(173\) −10400.1 −0.347491 −0.173745 0.984791i \(-0.555587\pi\)
−0.173745 + 0.984791i \(0.555587\pi\)
\(174\) −39044.1 + 8911.57i −1.28961 + 0.294344i
\(175\) 13260.3 + 42988.7i 0.432988 + 1.40371i
\(176\) −9633.20 + 4639.11i −0.310989 + 0.149765i
\(177\) 27642.2 + 10848.8i 0.882319 + 0.346285i
\(178\) −24447.4 42344.2i −0.771601 1.33645i
\(179\) −20179.5 11650.6i −0.629802 0.363616i 0.150873 0.988553i \(-0.451791\pi\)
−0.780675 + 0.624937i \(0.785125\pi\)
\(180\) −99629.7 + 79452.1i −3.07499 + 2.45222i
\(181\) −14609.6 + 9960.64i −0.445944 + 0.304040i −0.765392 0.643564i \(-0.777455\pi\)
0.319448 + 0.947604i \(0.396503\pi\)
\(182\) 14229.3 + 2144.72i 0.429577 + 0.0647483i
\(183\) −5384.67 2593.12i −0.160789 0.0774320i
\(184\) 15161.0 + 16339.6i 0.447808 + 0.482622i
\(185\) −5519.79 + 831.974i −0.161279 + 0.0243090i
\(186\) 134861. + 41599.0i 3.89815 + 1.20242i
\(187\) 3612.39 48204.0i 0.103303 1.37848i
\(188\) 46720.8 58586.1i 1.32189 1.65760i
\(189\) −11996.8 30567.3i −0.335847 0.855724i
\(190\) −44412.5 + 47865.3i −1.23026 + 1.32591i
\(191\) −18735.2 + 27479.5i −0.513561 + 0.753256i −0.992187 0.124763i \(-0.960183\pi\)
0.478625 + 0.878019i \(0.341135\pi\)
\(192\) −94474.7 + 7079.90i −2.56279 + 0.192055i
\(193\) 145.755 638.593i 0.00391298 0.0171439i −0.972934 0.231084i \(-0.925773\pi\)
0.976847 + 0.213940i \(0.0686298\pi\)
\(194\) 26485.3 + 6045.10i 0.703723 + 0.160620i
\(195\) −2707.88 36134.2i −0.0712133 0.950275i
\(196\) −15050.7 10261.4i −0.391782 0.267112i
\(197\) 598.055 + 554.914i 0.0154102 + 0.0142986i 0.687840 0.725862i \(-0.258559\pi\)
−0.672430 + 0.740161i \(0.734749\pi\)
\(198\) 71203.5 27945.3i 1.81623 0.712818i
\(199\) 45621.3 + 36381.8i 1.15202 + 0.918709i 0.997596 0.0692954i \(-0.0220751\pi\)
0.154428 + 0.988004i \(0.450647\pi\)
\(200\) −43252.6 3241.33i −1.08131 0.0810333i
\(201\) −3611.85 + 11709.3i −0.0894001 + 0.289828i
\(202\) 1821.93 + 12087.7i 0.0446507 + 0.296238i
\(203\) 12790.9 11868.2i 0.310390 0.288000i
\(204\) 76071.1 157963.i 1.82793 3.79573i
\(205\) −7495.12 + 49726.9i −0.178349 + 1.18327i
\(206\) 18807.1 + 27584.9i 0.443187 + 0.650036i
\(207\) 49654.4 + 62264.6i 1.15882 + 1.45312i
\(208\) 3464.50 6000.68i 0.0800780 0.138699i
\(209\) 19726.6 11389.2i 0.451607 0.260735i
\(210\) 55545.8 141528.i 1.25954 3.20926i
\(211\) 7734.31 + 16060.5i 0.173723 + 0.360739i 0.969591 0.244731i \(-0.0786996\pi\)
−0.795868 + 0.605470i \(0.792985\pi\)
\(212\) −71459.1 + 22042.2i −1.58996 + 0.490437i
\(213\) 1560.29 + 6836.08i 0.0343911 + 0.150677i
\(214\) 9899.07i 0.216156i
\(215\) −5227.02 77318.3i −0.113078 1.67265i
\(216\) 31659.5 0.678573
\(217\) −59948.2 + 13682.8i −1.27308 + 0.290573i
\(218\) −32926.4 106745.i −0.692838 2.24613i
\(219\) −87435.6 + 42106.8i −1.82306 + 0.877938i
\(220\) 78274.7 + 30720.6i 1.61725 + 0.634722i
\(221\) 15663.1 + 27129.3i 0.320696 + 0.555463i
\(222\) 10524.8 + 6076.48i 0.213553 + 0.123295i
\(223\) −39637.3 + 31609.7i −0.797066 + 0.635639i −0.934938 0.354811i \(-0.884545\pi\)
0.137872 + 0.990450i \(0.455974\pi\)
\(224\) 44165.9 30111.8i 0.880220 0.600124i
\(225\) −153239. 23097.1i −3.02695 0.456240i
\(226\) −131438. 63297.1i −2.57338 1.23927i
\(227\) 15043.7 + 16213.3i 0.291947 + 0.314644i 0.861945 0.507002i \(-0.169246\pi\)
−0.569998 + 0.821646i \(0.693056\pi\)
\(228\) 81694.2 12313.4i 1.57153 0.236869i
\(229\) 2154.58 + 664.601i 0.0410858 + 0.0126733i 0.315230 0.949015i \(-0.397918\pi\)
−0.274144 + 0.961689i \(0.588395\pi\)
\(230\) −11257.5 + 150221.i −0.212807 + 2.83972i
\(231\) −33068.8 + 41467.0i −0.619719 + 0.777103i
\(232\) 6146.13 + 15660.1i 0.114189 + 0.290950i
\(233\) 9795.17 10556.7i 0.180426 0.194453i −0.636362 0.771390i \(-0.719562\pi\)
0.816789 + 0.576937i \(0.195752\pi\)
\(234\) −27923.8 + 40956.7i −0.509968 + 0.747986i
\(235\) 141065. 10571.3i 2.55436 0.191423i
\(236\) 9937.06 43537.1i 0.178416 0.781692i
\(237\) 69589.0 + 15883.2i 1.23892 + 0.282776i
\(238\) 9822.51 + 131072.i 0.173408 + 2.31397i
\(239\) 62287.6 + 42466.9i 1.09045 + 0.743456i 0.968483 0.249078i \(-0.0801277\pi\)
0.121966 + 0.992534i \(0.461080\pi\)
\(240\) −53665.6 49794.4i −0.931694 0.864486i
\(241\) 34690.9 13615.2i 0.597284 0.234417i −0.0473870 0.998877i \(-0.515089\pi\)
0.644671 + 0.764460i \(0.276994\pi\)
\(242\) 31287.7 + 24951.1i 0.534247 + 0.426048i
\(243\) −50506.8 3784.96i −0.855338 0.0640987i
\(244\) −2649.21 + 8588.52i −0.0444976 + 0.144258i
\(245\) −5125.24 34003.7i −0.0853850 0.566493i
\(246\) 80257.5 74468.0i 1.32622 1.23055i
\(247\) −6404.79 + 13299.7i −0.104981 + 0.217995i
\(248\) 8835.89 58622.3i 0.143664 0.953147i
\(249\) −13221.0 19391.7i −0.213239 0.312764i
\(250\) −81821.2 102601.i −1.30914 1.64161i
\(251\) 3887.67 6733.64i 0.0617081 0.106882i −0.833521 0.552488i \(-0.813679\pi\)
0.895229 + 0.445606i \(0.147012\pi\)
\(252\) −104682. + 60438.0i −1.64843 + 0.951719i
\(253\) 19199.1 48918.6i 0.299944 0.764246i
\(254\) 2818.85 + 5853.40i 0.0436922 + 0.0907279i
\(255\) 316274. 97557.6i 4.86388 1.50031i
\(256\) 2115.70 + 9269.49i 0.0322830 + 0.141441i
\(257\) 15203.9i 0.230192i 0.993354 + 0.115096i \(0.0367175\pi\)
−0.993354 + 0.115096i \(0.963282\pi\)
\(258\) −96055.5 + 138702.i −1.44306 + 2.08373i
\(259\) −5294.98 −0.0789342
\(260\) −53126.7 + 12125.8i −0.785897 + 0.179376i
\(261\) 17716.8 + 57436.4i 0.260078 + 0.843153i
\(262\) 10987.0 5291.04i 0.160057 0.0770794i
\(263\) −126778. 49756.8i −1.83288 0.719351i −0.980529 0.196372i \(-0.937084\pi\)
−0.852346 0.522978i \(-0.824821\pi\)
\(264\) −25568.0 44285.1i −0.366850 0.635404i
\(265\) −122258. 70585.7i −1.74095 1.00514i
\(266\) −48424.3 + 38617.1i −0.684384 + 0.545778i
\(267\) −96495.1 + 65789.3i −1.35358 + 0.922853i
\(268\) 18222.0 + 2746.53i 0.253704 + 0.0382397i
\(269\) −82047.3 39511.9i −1.13386 0.546039i −0.229713 0.973258i \(-0.573779\pi\)
−0.904148 + 0.427220i \(0.859493\pi\)
\(270\) 145533. + 156847.i 1.99634 + 2.15154i
\(271\) 66213.4 9980.07i 0.901587 0.135892i 0.318140 0.948044i \(-0.396942\pi\)
0.583447 + 0.812151i \(0.301704\pi\)
\(272\) 60478.2 + 18655.1i 0.817450 + 0.252150i
\(273\) 2568.59 34275.4i 0.0344643 0.459894i
\(274\) −47019.9 + 58961.1i −0.626297 + 0.785352i
\(275\) 37359.6 + 95190.6i 0.494011 + 1.25872i
\(276\) 129643. 139722.i 1.70189 1.83420i
\(277\) 30906.5 45331.5i 0.402800 0.590800i −0.570228 0.821487i \(-0.693145\pi\)
0.973028 + 0.230687i \(0.0740974\pi\)
\(278\) 5908.66 442.793i 0.0764538 0.00572942i
\(279\) 47133.8 206507.i 0.605514 2.65293i
\(280\) −62265.2 14211.6i −0.794199 0.181271i
\(281\) −8415.37 112295.i −0.106576 1.42216i −0.752416 0.658688i \(-0.771112\pi\)
0.645840 0.763473i \(-0.276507\pi\)
\(282\) −254461. 173489.i −3.19980 2.18159i
\(283\) −4957.15 4599.56i −0.0618955 0.0574306i 0.648619 0.761114i \(-0.275347\pi\)
−0.710514 + 0.703683i \(0.751538\pi\)
\(284\) 9815.91 3852.46i 0.121701 0.0477641i
\(285\) 121937. + 97241.6i 1.50123 + 1.19719i
\(286\) 32618.1 + 2444.39i 0.398774 + 0.0298840i
\(287\) −14060.3 + 45582.4i −0.170699 + 0.553392i
\(288\) 27444.1 + 182080.i 0.330875 + 2.19521i
\(289\) −148528. + 137814.i −1.77833 + 1.65005i
\(290\) −49330.5 + 102436.i −0.586569 + 1.21802i
\(291\) 9671.17 64164.0i 0.114207 0.757715i
\(292\) 82212.7 + 120584.i 0.964214 + 1.41424i
\(293\) 66375.3 + 83232.0i 0.773164 + 0.969517i 0.999990 0.00441862i \(-0.00140649\pi\)
−0.226827 + 0.973935i \(0.572835\pi\)
\(294\) −37433.1 + 64836.1i −0.433073 + 0.750105i
\(295\) 73008.1 42151.2i 0.838932 0.484358i
\(296\) 1865.09 4752.18i 0.0212871 0.0542387i
\(297\) −32385.6 67249.5i −0.367147 0.762388i
\(298\) 132740. 40944.8i 1.49475 0.461070i
\(299\) 7578.15 + 33202.1i 0.0847659 + 0.371383i
\(300\) 370894.i 4.12105i
\(301\) 6028.15 73260.8i 0.0665351 0.808609i
\(302\) −94799.0 −1.03942
\(303\) 28466.3 6497.24i 0.310060 0.0707691i
\(304\) 8790.62 + 28498.5i 0.0951201 + 0.308372i
\(305\) −15286.8 + 7361.76i −0.164330 + 0.0791374i
\(306\) −421479. 165418.i −4.50125 1.76661i
\(307\) −32691.9 56624.0i −0.346867 0.600791i 0.638824 0.769353i \(-0.279421\pi\)
−0.985691 + 0.168562i \(0.946088\pi\)
\(308\) 69075.7 + 39880.9i 0.728155 + 0.420401i
\(309\) 62347.1 49720.2i 0.652979 0.520734i
\(310\) 331044. 225702.i 3.44478 2.34861i
\(311\) 135953. + 20491.7i 1.40562 + 0.211864i 0.807655 0.589656i \(-0.200737\pi\)
0.597969 + 0.801519i \(0.295975\pi\)
\(312\) 29857.0 + 14378.4i 0.306716 + 0.147707i
\(313\) −104892. 113047.i −1.07067 1.15390i −0.987541 0.157364i \(-0.949700\pi\)
−0.0831250 0.996539i \(-0.526490\pi\)
\(314\) 64144.2 9668.19i 0.650576 0.0980586i
\(315\) −218050. 67259.7i −2.19754 0.677850i
\(316\) 8021.75 107043.i 0.0803332 1.07197i
\(317\) 22658.7 28413.2i 0.225485 0.282749i −0.656201 0.754586i \(-0.727838\pi\)
0.881686 + 0.471837i \(0.156409\pi\)
\(318\) 112286. + 286101.i 1.11038 + 2.82921i
\(319\) 26977.3 29074.6i 0.265104 0.285714i
\(320\) −151511. + 222226.i −1.47960 + 2.17018i
\(321\) −23578.4 + 1766.96i −0.228826 + 0.0171481i
\(322\) −31796.7 + 139310.i −0.306669 + 1.34360i
\(323\) −131453. 30003.2i −1.25998 0.287583i
\(324\) −1826.84 24377.5i −0.0174025 0.232220i
\(325\) −54754.3 37330.8i −0.518384 0.353428i
\(326\) 132042. + 122518.i 1.24245 + 1.15282i
\(327\) −248377. + 97480.7i −2.32282 + 0.911639i
\(328\) −35957.0 28674.8i −0.334223 0.266534i
\(329\) 133808. + 10027.5i 1.23621 + 0.0926408i
\(330\) 101866. 330240.i 0.935404 3.03251i
\(331\) 9022.54 + 59860.6i 0.0823517 + 0.546368i 0.991522 + 0.129942i \(0.0414793\pi\)
−0.909170 + 0.416426i \(0.863283\pi\)
\(332\) −25873.2 + 24006.8i −0.234732 + 0.217800i
\(333\) 7913.99 16433.6i 0.0713686 0.148198i
\(334\) −20293.9 + 134641.i −0.181917 + 1.20694i
\(335\) 19596.7 + 28743.1i 0.174620 + 0.256120i
\(336\) −43296.7 54292.3i −0.383509 0.480905i
\(337\) −42032.5 + 72802.4i −0.370105 + 0.641041i −0.989581 0.143974i \(-0.954012\pi\)
0.619476 + 0.785015i \(0.287345\pi\)
\(338\) 134520. 77665.3i 1.17748 0.679819i
\(339\) −127305. + 324368.i −1.10776 + 2.82253i
\(340\) −215963. 448451.i −1.86819 3.87933i
\(341\) −133561. + 41198.2i −1.14861 + 0.354298i
\(342\) −47476.5 208008.i −0.405907 1.77839i
\(343\) 128072.i 1.08860i
\(344\) 63627.3 + 31215.4i 0.537683 + 0.263786i
\(345\) 359818. 3.02305
\(346\) 62668.4 14303.6i 0.523475 0.119480i
\(347\) −53664.7 173977.i −0.445687 1.44488i −0.848302 0.529512i \(-0.822375\pi\)
0.402615 0.915369i \(-0.368101\pi\)
\(348\) 129609. 62416.4i 1.07023 0.515395i
\(349\) 151986. + 59650.1i 1.24782 + 0.489734i 0.895046 0.445973i \(-0.147142\pi\)
0.352776 + 0.935708i \(0.385238\pi\)
\(350\) −139028. 240803.i −1.13492 1.96574i
\(351\) 41890.8 + 24185.7i 0.340020 + 0.196311i
\(352\) 94996.6 75757.2i 0.766695 0.611419i
\(353\) 73274.1 49957.4i 0.588032 0.400913i −0.232431 0.972613i \(-0.574668\pi\)
0.820463 + 0.571700i \(0.193716\pi\)
\(354\) −181486. 27354.7i −1.44823 0.218285i
\(355\) 17935.1 + 8637.07i 0.142314 + 0.0685346i
\(356\) 119461. + 128748.i 0.942593 + 1.01587i
\(357\) 310446. 46792.2i 2.43584 0.367144i
\(358\) 137621. + 42450.3i 1.07379 + 0.331219i
\(359\) 6018.76 80314.8i 0.0467001 0.623170i −0.923925 0.382573i \(-0.875038\pi\)
0.970625 0.240596i \(-0.0773430\pi\)
\(360\) 137170. 172006.i 1.05841 1.32721i
\(361\) 24399.3 + 62168.4i 0.187225 + 0.477041i
\(362\) 74334.7 80113.7i 0.567250 0.611350i
\(363\) 53845.8 78977.3i 0.408638 0.599362i
\(364\) −51545.2 + 3862.78i −0.389032 + 0.0291539i
\(365\) −61306.7 + 268602.i −0.460174 + 2.01616i
\(366\) 36013.2 + 8219.78i 0.268844 + 0.0613618i
\(367\) 13544.2 + 180735.i 0.100559 + 1.34187i 0.788022 + 0.615647i \(0.211105\pi\)
−0.687463 + 0.726219i \(0.741276\pi\)
\(368\) 56849.2 + 38759.1i 0.419787 + 0.286206i
\(369\) −120455. 111766.i −0.884653 0.820838i
\(370\) 32116.7 12604.9i 0.234600 0.0920737i
\(371\) −104695. 83491.1i −0.760635 0.606586i
\(372\) −505530. 37884.3i −3.65310 0.273762i
\(373\) 45051.7 146054.i 0.323813 1.04977i −0.636600 0.771194i \(-0.719660\pi\)
0.960413 0.278581i \(-0.0898640\pi\)
\(374\) 44529.6 + 295435.i 0.318351 + 2.11212i
\(375\) −229778. + 213203.i −1.63398 + 1.51611i
\(376\) −56131.8 + 116559.i −0.397039 + 0.824461i
\(377\) −3830.87 + 25416.1i −0.0269535 + 0.178824i
\(378\) 114330. + 167692.i 0.800163 + 1.17362i
\(379\) 172546. + 216366.i 1.20123 + 1.50630i 0.810443 + 0.585817i \(0.199226\pi\)
0.390789 + 0.920480i \(0.372202\pi\)
\(380\) 117273. 203123.i 0.812140 1.40667i
\(381\) 13439.0 7758.99i 0.0925797 0.0534509i
\(382\) 75100.4 191353.i 0.514654 1.31132i
\(383\) −33143.3 68822.8i −0.225943 0.469175i 0.756922 0.653506i \(-0.226702\pi\)
−0.982864 + 0.184331i \(0.940988\pi\)
\(384\) 256057. 78983.0i 1.73650 0.535638i
\(385\) 33505.7 + 146798.i 0.226046 + 0.990374i
\(386\) 4048.48i 0.0271717i
\(387\) 218363. + 128206.i 1.45800 + 0.856026i
\(388\) −97583.2 −0.648204
\(389\) −236265. + 53926.0i −1.56135 + 0.356368i −0.913965 0.405794i \(-0.866995\pi\)
−0.647386 + 0.762162i \(0.724138\pi\)
\(390\) 66014.0 + 214012.i 0.434017 + 1.40705i
\(391\) −280264. + 134968.i −1.83322 + 0.882831i
\(392\) 29275.0 + 11489.6i 0.190513 + 0.0747708i
\(393\) −14563.8 25225.2i −0.0942952 0.163324i
\(394\) −4366.94 2521.25i −0.0281310 0.0162414i
\(395\) 158431. 126344.i 1.01542 0.809771i
\(396\) −227017. + 154778.i −1.44766 + 0.987001i
\(397\) 20131.7 + 3034.36i 0.127732 + 0.0192525i 0.212597 0.977140i \(-0.431808\pi\)
−0.0848652 + 0.996392i \(0.527046\pi\)
\(398\) −324941. 156483.i −2.05134 0.987875i
\(399\) 100625. + 108448.i 0.632063 + 0.681202i
\(400\) −132392. + 19954.9i −0.827449 + 0.124718i
\(401\) −260269. 80282.5i −1.61858 0.499266i −0.652562 0.757736i \(-0.726306\pi\)
−0.966019 + 0.258470i \(0.916782\pi\)
\(402\) 5659.85 75525.4i 0.0350229 0.467349i
\(403\) 56474.8 70817.2i 0.347732 0.436042i
\(404\) −16042.1 40874.7i −0.0982877 0.250433i
\(405\) 31389.0 33829.3i 0.191367 0.206245i
\(406\) −60752.1 + 89106.9i −0.368561 + 0.540579i
\(407\) −12002.2 + 899.441i −0.0724557 + 0.00542980i
\(408\) −67355.3 + 295103.i −0.404624 + 1.77277i
\(409\) −282321. 64437.9i −1.68770 0.385207i −0.732410 0.680864i \(-0.761604\pi\)
−0.955294 + 0.295657i \(0.904461\pi\)
\(410\) −23227.6 309951.i −0.138177 1.84385i
\(411\) 148831. + 101472.i 0.881071 + 0.600704i
\(412\) −87911.0 81569.5i −0.517904 0.480544i
\(413\) 74438.1 29214.8i 0.436410 0.171278i
\(414\) −384841. 306901.i −2.24533 1.79059i
\(415\) −66443.4 4979.25i −0.385794 0.0289113i
\(416\) −23209.5 + 75243.3i −0.134115 + 0.434791i
\(417\) −2109.36 13994.7i −0.0121305 0.0804807i
\(418\) −103204. + 95759.5i −0.590670 + 0.548062i
\(419\) 108235. 224753.i 0.616511 1.28020i −0.325794 0.945441i \(-0.605631\pi\)
0.942304 0.334757i \(-0.108654\pi\)
\(420\) −81396.3 + 540029.i −0.461430 + 3.06139i
\(421\) 46713.8 + 68516.6i 0.263561 + 0.386573i 0.935093 0.354403i \(-0.115316\pi\)
−0.671532 + 0.740976i \(0.734363\pi\)
\(422\) −68693.8 86139.4i −0.385738 0.483701i
\(423\) −231114. + 400301.i −1.29165 + 2.23721i
\(424\) 111810. 64553.3i 0.621938 0.359076i
\(425\) 221145. 563467.i 1.22433 3.11954i
\(426\) −18803.9 39046.7i −0.103616 0.215162i
\(427\) −15379.3 + 4743.88i −0.0843490 + 0.0260182i
\(428\) 7912.39 + 34666.4i 0.0431937 + 0.189244i
\(429\) 78128.9i 0.424519i
\(430\) 137836. + 458714.i 0.745463 + 2.48087i
\(431\) −137012. −0.737573 −0.368787 0.929514i \(-0.620227\pi\)
−0.368787 + 0.929514i \(0.620227\pi\)
\(432\) 95276.8 21746.3i 0.510528 0.116525i
\(433\) 49033.6 + 158963.i 0.261528 + 0.847852i 0.987155 + 0.159764i \(0.0510734\pi\)
−0.725628 + 0.688088i \(0.758450\pi\)
\(434\) 342416. 164899.i 1.81792 0.875463i
\(435\) 252796. + 99215.0i 1.33595 + 0.524323i
\(436\) 200630. + 347501.i 1.05541 + 1.82803i
\(437\) −126944. 73291.0i −0.664734 0.383785i
\(438\) 468956. 373980.i 2.44446 1.94940i
\(439\) −99230.7 + 67654.4i −0.514893 + 0.351048i −0.792723 0.609582i \(-0.791337\pi\)
0.277830 + 0.960630i \(0.410385\pi\)
\(440\) −143551. 21636.9i −0.741485 0.111761i
\(441\) 101236. + 48752.8i 0.520546 + 0.250682i
\(442\) −131695. 141933.i −0.674099 0.726506i
\(443\) 105871. 15957.5i 0.539472 0.0813123i 0.126346 0.991986i \(-0.459675\pi\)
0.413126 + 0.910674i \(0.364437\pi\)
\(444\) −41714.6 12867.2i −0.211603 0.0652709i
\(445\) −24777.3 + 330630.i −0.125122 + 1.66964i
\(446\) 195371. 244988.i 0.982180 1.23161i
\(447\) −121220. 308863.i −0.606678 1.54579i
\(448\) −173530. + 187020.i −0.864604 + 0.931822i
\(449\) −214450. + 314541.i −1.06374 + 1.56021i −0.259648 + 0.965703i \(0.583607\pi\)
−0.804088 + 0.594511i \(0.797346\pi\)
\(450\) 955152. 71578.8i 4.71680 0.353475i
\(451\) −24127.8 + 105711.i −0.118622 + 0.519715i
\(452\) 510887. + 116607.i 2.50062 + 0.570751i
\(453\) 16921.4 + 225800.i 0.0824593 + 1.10034i
\(454\) −112949. 77007.3i −0.547988 0.373612i
\(455\) −71530.6 66370.7i −0.345517 0.320593i
\(456\) −132775. + 52110.2i −0.638536 + 0.250607i
\(457\) −978.712 780.497i −0.00468622 0.00373713i 0.621144 0.783697i \(-0.286668\pi\)
−0.625830 + 0.779959i \(0.715240\pi\)
\(458\) −13897.1 1041.44i −0.0662510 0.00496483i
\(459\) −130231. + 422199.i −0.618144 + 2.00397i
\(460\) −80648.9 535070.i −0.381138 2.52869i
\(461\) 169292. 157080.i 0.796590 0.739127i −0.172720 0.984971i \(-0.555255\pi\)
0.969310 + 0.245844i \(0.0790650\pi\)
\(462\) 142234. 295352.i 0.666376 1.38374i
\(463\) 4196.83 27844.1i 0.0195776 0.129889i −0.976907 0.213665i \(-0.931460\pi\)
0.996485 + 0.0837761i \(0.0266980\pi\)
\(464\) 29252.9 + 42906.2i 0.135873 + 0.199289i
\(465\) −596686. 748221.i −2.75956 3.46038i
\(466\) −44504.4 + 77083.9i −0.204942 + 0.354970i
\(467\) 248330. 143373.i 1.13866 0.657407i 0.192564 0.981284i \(-0.438320\pi\)
0.946099 + 0.323877i \(0.104986\pi\)
\(468\) 65052.0 165750.i 0.297008 0.756765i
\(469\) 14317.4 + 29730.4i 0.0650908 + 0.135162i
\(470\) −835485. + 257713.i −3.78219 + 1.16665i
\(471\) −34478.1 151058.i −0.155418 0.680931i
\(472\) 77097.8i 0.346065i
\(473\) 1219.52 167085.i 0.00545088 0.746820i
\(474\) −441173. −1.96359
\(475\) 278082. 63470.4i 1.23250 0.281309i
\(476\) −139165. 451162.i −0.614210 1.99122i
\(477\) 415603. 200144.i 1.82659 0.879641i
\(478\) −433737. 170229.i −1.89833 0.745038i
\(479\) 63724.8 + 110375.i 0.277739 + 0.481058i 0.970823 0.239799i \(-0.0770815\pi\)
−0.693083 + 0.720857i \(0.743748\pi\)
\(480\) 720486. + 415973.i 3.12711 + 1.80544i
\(481\) 6098.17 4863.13i 0.0263578 0.0210197i
\(482\) −190314. + 129754.i −0.819174 + 0.558503i
\(483\) 337497. + 50869.4i 1.44669 + 0.218053i
\(484\) −129513. 62370.0i −0.552868 0.266247i
\(485\) −125299. 135040.i −0.532677 0.574089i
\(486\) 309548. 46656.9i 1.31056 0.197535i
\(487\) 279987. + 86364.5i 1.18054 + 0.364147i 0.822065 0.569393i \(-0.192822\pi\)
0.358471 + 0.933541i \(0.383298\pi\)
\(488\) 1159.59 15473.7i 0.00486929 0.0649761i
\(489\) 268253. 336379.i 1.12183 1.40673i
\(490\) 77650.3 + 197850.i 0.323408 + 0.824030i
\(491\) −261318. + 281633.i −1.08394 + 1.16821i −0.0990420 + 0.995083i \(0.531578\pi\)
−0.984899 + 0.173128i \(0.944613\pi\)
\(492\) −221538. + 324936.i −0.915204 + 1.34236i
\(493\) −234119. + 17544.8i −0.963259 + 0.0721862i
\(494\) 20302.2 88949.7i 0.0831934 0.364494i
\(495\) −505683. 115419.i −2.06380 0.471050i
\(496\) −13675.6 182489.i −0.0555884 0.741776i
\(497\) 15601.4 + 10636.8i 0.0631611 + 0.0430625i
\(498\) 106337. + 98666.3i 0.428771 + 0.397841i
\(499\) 221257. 86836.8i 0.888577 0.348741i 0.123245 0.992376i \(-0.460670\pi\)
0.765332 + 0.643635i \(0.222575\pi\)
\(500\) 368546. + 293906.i 1.47418 + 1.17562i
\(501\) 324323. + 24304.6i 1.29212 + 0.0968308i
\(502\) −14165.1 + 45922.3i −0.0562100 + 0.182228i
\(503\) 48106.9 + 319168.i 0.190139 + 1.26149i 0.856612 + 0.515961i \(0.172565\pi\)
−0.666473 + 0.745529i \(0.732197\pi\)
\(504\) 152978. 141943.i 0.602238 0.558796i
\(505\) 35965.8 74683.8i 0.141029 0.292849i
\(506\) −48409.8 + 321178.i −0.189074 + 1.25442i
\(507\) −209001. 306549.i −0.813080 1.19257i
\(508\) −14550.2 18245.4i −0.0563822 0.0707011i
\(509\) 43523.2 75384.4i 0.167991 0.290968i −0.769723 0.638379i \(-0.779605\pi\)
0.937713 + 0.347410i \(0.112939\pi\)
\(510\) −1.77162e6 + 1.02285e6i −6.81130 + 3.93251i
\(511\) −95477.2 + 243272.i −0.365644 + 0.931645i
\(512\) 100508. + 208707.i 0.383407 + 0.796152i
\(513\) −198948. + 61367.4i −0.755972 + 0.233186i
\(514\) −20910.6 91615.4i −0.0791481 0.346771i
\(515\) 226392.i 0.853586i
\(516\) 225520. 562509.i 0.847006 2.11266i
\(517\) 305008. 1.14112
\(518\) 31906.4 7282.42i 0.118910 0.0271404i
\(519\) −45255.8 146716.i −0.168012 0.544681i
\(520\) 84762.7 40819.5i 0.313471 0.150960i
\(521\) −154825. 60764.5i −0.570383 0.223859i 0.0625812 0.998040i \(-0.480067\pi\)
−0.632964 + 0.774181i \(0.718162\pi\)
\(522\) −185752. 321732.i −0.681699 1.18074i
\(523\) −274470. 158465.i −1.00344 0.579337i −0.0941763 0.995556i \(-0.530022\pi\)
−0.909265 + 0.416219i \(0.863355\pi\)
\(524\) −34247.0 + 27311.1i −0.124727 + 0.0994664i
\(525\) −548748. + 374130.i −1.99092 + 1.35739i
\(526\) 832369. + 125459.i 3.00846 + 0.453453i
\(527\) 745419. + 358975.i 2.68398 + 1.29254i
\(528\) −107364. 115710.i −0.385114 0.415054i
\(529\) −57682.3 + 8694.21i −0.206125 + 0.0310684i
\(530\) 833779. + 257187.i 2.96824 + 0.915581i
\(531\) −20585.3 + 274692.i −0.0730077 + 0.974220i
\(532\) 138714. 173942.i 0.490115 0.614585i
\(533\) −25671.6 65410.3i −0.0903648 0.230246i
\(534\) 490975. 529145.i 1.72178 1.85563i
\(535\) −37813.4 + 55462.0i −0.132111 + 0.193771i
\(536\) −31725.8 + 2377.52i −0.110429 + 0.00827551i
\(537\) 76546.9 335374.i 0.265448 1.16300i
\(538\) 548741. + 125247.i 1.89584 + 0.432714i
\(539\) −5540.86 73937.6i −0.0190721 0.254500i
\(540\) −635024. 432952.i −2.17772 1.48475i
\(541\) −102006. 94647.8i −0.348523 0.323382i 0.486413 0.873729i \(-0.338305\pi\)
−0.834936 + 0.550347i \(0.814495\pi\)
\(542\) −385261. + 151204.i −1.31146 + 0.514712i
\(543\) −204090. 162757.i −0.692186 0.552000i
\(544\) −717221. 53748.3i −2.42357 0.181621i
\(545\) −223275. + 723840.i −0.751704 + 2.43697i
\(546\) 31662.7 + 210068.i 0.106209 + 0.704654i
\(547\) −17265.7 + 16020.2i −0.0577045 + 0.0535420i −0.708498 0.705713i \(-0.750627\pi\)
0.650793 + 0.759255i \(0.274436\pi\)
\(548\) 117535. 244064.i 0.391387 0.812724i
\(549\) 8263.03 54821.6i 0.0274154 0.181889i
\(550\) −356040. 522215.i −1.17699 1.72633i
\(551\) −68977.1 86494.6i −0.227197 0.284896i
\(552\) −164534. + 284981.i −0.539979 + 0.935271i
\(553\) 166465. 96108.3i 0.544341 0.314276i
\(554\) −123889. + 315664.i −0.403658 + 1.02850i
\(555\) −35756.2 74248.4i −0.116082 0.241047i
\(556\) −20338.1 + 6273.48i −0.0657902 + 0.0202936i
\(557\) 11749.7 + 51478.9i 0.0378719 + 0.165928i 0.990327 0.138750i \(-0.0443084\pi\)
−0.952456 + 0.304678i \(0.901451\pi\)
\(558\) 1.30919e6i 4.20468i
\(559\) 60343.2 + 89910.1i 0.193110 + 0.287730i
\(560\) −197144. −0.628648
\(561\) 695743. 158799.i 2.21067 0.504570i
\(562\) 205154. + 665092.i 0.649541 + 2.10576i
\(563\) 30565.7 14719.7i 0.0964311 0.0464388i −0.385046 0.922897i \(-0.625815\pi\)
0.481478 + 0.876458i \(0.340100\pi\)
\(564\) 1.02979e6 + 404163.i 3.23736 + 1.27057i
\(565\) 494625. + 856716.i 1.54946 + 2.68374i
\(566\) 36196.6 + 20898.1i 0.112989 + 0.0652341i
\(567\) 34224.4 27293.0i 0.106456 0.0848957i
\(568\) −15041.8 + 10255.3i −0.0466233 + 0.0317873i
\(569\) −553541. 83432.9i −1.70972 0.257699i −0.779952 0.625840i \(-0.784756\pi\)
−0.929770 + 0.368141i \(0.879995\pi\)
\(570\) −868506. 418250.i −2.67315 1.28732i
\(571\) 138947. + 149749.i 0.426163 + 0.459295i 0.909233 0.416287i \(-0.136669\pi\)
−0.483070 + 0.875582i \(0.660478\pi\)
\(572\) −116182. + 17511.6i −0.355097 + 0.0535222i
\(573\) −469185. 144725.i −1.42901 0.440791i
\(574\) 22032.8 294007.i 0.0668721 0.892347i
\(575\) 410290. 514487.i 1.24095 1.55611i
\(576\) −321078. 818093.i −0.967755 2.46580i
\(577\) −12202.8 + 13151.5i −0.0366528 + 0.0395023i −0.751112 0.660175i \(-0.770482\pi\)
0.714459 + 0.699677i \(0.246673\pi\)
\(578\) 705454. 1.03471e6i 2.11161 3.09716i
\(579\) 9643.01 722.644i 0.0287644 0.00215559i
\(580\) 90877.2 398159.i 0.270146 1.18359i
\(581\) −61617.6 14063.8i −0.182538 0.0416630i
\(582\) 29971.3 + 399939.i 0.0884829 + 1.18072i
\(583\) −251495. 171466.i −0.739933 0.504478i
\(584\) −184703. 171379.i −0.541562 0.502496i
\(585\) 312900. 122804.i 0.914312 0.358841i
\(586\) −514435. 410248.i −1.49808 1.19468i
\(587\) 100752. + 7550.32i 0.292400 + 0.0219124i 0.220123 0.975472i \(-0.429354\pi\)
0.0722774 + 0.997385i \(0.476973\pi\)
\(588\) 79266.5 256976.i 0.229263 0.743254i
\(589\) 58106.3 + 385510.i 0.167491 + 1.11123i
\(590\) −381958. + 354405.i −1.09726 + 1.01811i
\(591\) −5225.85 + 10851.6i −0.0149617 + 0.0310684i
\(592\) 2348.67 15582.4i 0.00670161 0.0444623i
\(593\) −343739. 504173.i −0.977507 1.43374i −0.899568 0.436781i \(-0.856119\pi\)
−0.0779385 0.996958i \(-0.524834\pi\)
\(594\) 287640. + 360689.i 0.815222 + 1.02226i
\(595\) 445649. 771886.i 1.25881 2.18031i
\(596\) −432126. + 249488.i −1.21652 + 0.702356i
\(597\) −314724. + 801904.i −0.883042 + 2.24995i
\(598\) −91328.4 189645.i −0.255390 0.530323i
\(599\) 574450. 177194.i 1.60103 0.493852i 0.639553 0.768747i \(-0.279119\pi\)
0.961474 + 0.274895i \(0.0886432\pi\)
\(600\) −142487. 624277.i −0.395798 1.73410i
\(601\) 299881.i 0.830234i 0.909768 + 0.415117i \(0.136259\pi\)
−0.909768 + 0.415117i \(0.863741\pi\)
\(602\) 64434.5 + 449744.i 0.177797 + 1.24100i
\(603\) −113671. −0.312619
\(604\) 331985. 75773.4i 0.910006 0.207703i
\(605\) −79986.5 259310.i −0.218528 0.708449i
\(606\) −162595. + 78301.8i −0.442754 + 0.213219i
\(607\) 146695. + 57573.5i 0.398142 + 0.156259i 0.555960 0.831209i \(-0.312351\pi\)
−0.157818 + 0.987468i \(0.550446\pi\)
\(608\) −169458. 293510.i −0.458411 0.793991i
\(609\) 223087. + 128799.i 0.601504 + 0.347279i
\(610\) 81990.1 65384.9i 0.220344 0.175719i
\(611\) −163315. + 111346.i −0.437465 + 0.298259i
\(612\) 1.60823e6 + 242402.i 4.29384 + 0.647193i
\(613\) −508844. 245046.i −1.35414 0.652119i −0.390817 0.920468i \(-0.627808\pi\)
−0.963322 + 0.268349i \(0.913522\pi\)
\(614\) 274871. + 296241.i 0.729109 + 0.785792i
\(615\) −734122. + 110651.i −1.94097 + 0.292554i
\(616\) −131587. 40589.3i −0.346778 0.106967i
\(617\) −27912.7 + 372469.i −0.0733216 + 0.978408i 0.832301 + 0.554324i \(0.187023\pi\)
−0.905623 + 0.424085i \(0.860596\pi\)
\(618\) −307307. + 385351.i −0.804629 + 1.00897i
\(619\) −79760.6 203227.i −0.208165 0.530395i 0.788216 0.615399i \(-0.211005\pi\)
−0.996381 + 0.0850036i \(0.972910\pi\)
\(620\) −978906. + 1.05501e6i −2.54658 + 2.74456i
\(621\) −270578. + 396865.i −0.701632 + 1.02910i
\(622\) −847407. + 63504.4i −2.19034 + 0.164143i
\(623\) −69983.2 + 306616.i −0.180309 + 0.789985i
\(624\) 99728.6 + 22762.4i 0.256124 + 0.0584587i
\(625\) 13648.3 + 182124.i 0.0349396 + 0.466237i
\(626\) 787534. + 536931.i 2.00965 + 1.37016i
\(627\) 246510. + 228728.i 0.627046 + 0.581813i
\(628\) −216904. + 85128.7i −0.549983 + 0.215852i
\(629\) 55701.2 + 44420.2i 0.140787 + 0.112274i
\(630\) 1.40643e6 + 105397.i 3.54353 + 0.265551i
\(631\) 206701. 670108.i 0.519139 1.68301i −0.193189 0.981162i \(-0.561883\pi\)
0.712328 0.701847i \(-0.247641\pi\)
\(632\) 27620.9 + 183253.i 0.0691518 + 0.458792i
\(633\) −192912. + 178997.i −0.481452 + 0.446722i
\(634\) −97458.6 + 202375.i −0.242461 + 0.503475i
\(635\) 6566.04 43562.8i 0.0162838 0.108036i
\(636\) −621908. 912171.i −1.53749 2.25508i
\(637\) 29958.5 + 37566.7i 0.0738314 + 0.0925816i
\(638\) −122571. + 212300.i −0.301125 + 0.521565i
\(639\) −56330.8 + 32522.6i −0.137957 + 0.0796495i
\(640\) 277926. 708144.i 0.678531 1.72887i
\(641\) −87743.8 182202.i −0.213550 0.443442i 0.766486 0.642261i \(-0.222004\pi\)
−0.980036 + 0.198819i \(0.936289\pi\)
\(642\) 139648. 43075.8i 0.338817 0.104511i
\(643\) 81625.9 + 357626.i 0.197427 + 0.864983i 0.972461 + 0.233064i \(0.0748753\pi\)
−0.775035 + 0.631919i \(0.782268\pi\)
\(644\) 513278.i 1.23760i
\(645\) 1.06800e6 410189.i 2.56715 0.985972i
\(646\) 833368. 1.99697
\(647\) −295620. + 67473.3i −0.706195 + 0.161184i −0.560511 0.828147i \(-0.689395\pi\)
−0.145684 + 0.989331i \(0.546538\pi\)
\(648\) 12440.0 + 40329.6i 0.0296259 + 0.0960448i
\(649\) 163767. 78866.1i 0.388810 0.187241i
\(650\) 381280. + 149641.i 0.902437 + 0.354180i
\(651\) −453890. 786161.i −1.07100 1.85502i
\(652\) −560340. 323513.i −1.31812 0.761020i
\(653\) −171030. + 136392.i −0.401094 + 0.319862i −0.803176 0.595742i \(-0.796858\pi\)
0.402082 + 0.915604i \(0.368287\pi\)
\(654\) 1.36259e6 928999.i 3.18574 2.17200i
\(655\) −81768.3 12324.6i −0.190591 0.0287270i
\(656\) −127906. 61596.4i −0.297224 0.143135i
\(657\) −612320. 659924.i −1.41856 1.52884i
\(658\) −820089. + 123608.i −1.89413 + 0.285494i
\(659\) 510654. + 157516.i 1.17586 + 0.362705i 0.820292 0.571945i \(-0.193811\pi\)
0.355569 + 0.934650i \(0.384287\pi\)
\(660\) −92769.1 + 1.23792e6i −0.212969 + 2.84187i
\(661\) 382539. 479689.i 0.875535 1.09789i −0.118939 0.992902i \(-0.537949\pi\)
0.994474 0.104984i \(-0.0334792\pi\)
\(662\) −136697. 348297.i −0.311919 0.794757i
\(663\) −314561. + 339016.i −0.715612 + 0.771247i
\(664\) 34326.1 50347.2i 0.0778554 0.114193i
\(665\) 418822. 31386.4i 0.947079 0.0709737i
\(666\) −25086.1 + 109909.i −0.0565568 + 0.247792i
\(667\) −248834. 56794.6i −0.559316 0.127660i
\(668\) −36550.6 487734.i −0.0819109 1.09302i
\(669\) −618406. 421622.i −1.38172 0.942044i
\(670\) −157617. 146247.i −0.351118 0.325790i
\(671\) −34054.6 + 13365.4i −0.0756364 + 0.0296851i
\(672\) 616981. + 492026.i 1.36626 + 1.08956i
\(673\) 48998.2 + 3671.90i 0.108181 + 0.00810702i 0.128710 0.991682i \(-0.458916\pi\)
−0.0205297 + 0.999789i \(0.506535\pi\)
\(674\) 153150. 496500.i 0.337130 1.09295i
\(675\) −139305. 924229.i −0.305745 2.02849i
\(676\) −409010. + 379506.i −0.895036 + 0.830472i
\(677\) 228178. 473817.i 0.497848 1.03379i −0.489021 0.872272i \(-0.662646\pi\)
0.986869 0.161521i \(-0.0516399\pi\)
\(678\) 320994. 2.12966e6i 0.698293 4.63287i
\(679\) −98434.6 144377.i −0.213505 0.313154i
\(680\) 535783. + 671851.i 1.15870 + 1.45297i
\(681\) −163261. + 282777.i −0.352038 + 0.609748i
\(682\) 748148. 431943.i 1.60849 0.928663i
\(683\) −95687.6 + 243808.i −0.205123 + 0.522645i −0.996002 0.0893274i \(-0.971528\pi\)
0.790879 + 0.611972i \(0.209624\pi\)
\(684\) 332524. + 690494.i 0.710741 + 1.47587i
\(685\) 488665. 150733.i 1.04143 0.321239i
\(686\) 176143. + 771735.i 0.374299 + 1.63991i
\(687\) 33287.1i 0.0705282i
\(688\) 212923. + 50236.0i 0.449827 + 0.106130i
\(689\) 197257. 0.415522
\(690\) −2.16818e6 + 494874.i −4.55405 + 1.03943i
\(691\) −128572. 416822.i −0.269272 0.872960i −0.984698 0.174271i \(-0.944243\pi\)
0.715425 0.698689i \(-0.246233\pi\)
\(692\) −208031. + 100182.i −0.434426 + 0.209208i
\(693\) −457995. 179750.i −0.953662 0.374285i
\(694\) 562649. + 974537.i 1.16820 + 2.02339i
\(695\) −34796.1 20089.6i −0.0720379 0.0415911i
\(696\) −194175. + 154849.i −0.400844 + 0.319662i
\(697\) 530305. 361556.i 1.09159 0.744235i
\(698\) −997873. 150405.i −2.04816 0.308711i
\(699\) 191549. + 92245.1i 0.392035 + 0.188794i
\(700\) 679348. + 732163.i 1.38642 + 1.49421i
\(701\) −226679. + 34166.3i −0.461291 + 0.0695284i −0.375577 0.926791i \(-0.622555\pi\)
−0.0857141 + 0.996320i \(0.527317\pi\)
\(702\) −285688. 88123.2i −0.579720 0.178820i
\(703\) −2508.82 + 33477.9i −0.00507644 + 0.0677404i
\(704\) −361573. + 453399.i −0.729543 + 0.914818i
\(705\) 762974. + 1.94403e6i 1.53508 + 3.91133i
\(706\) −372824. + 401809.i −0.747988 + 0.806140i
\(707\) 44293.1 64966.1i 0.0886130 0.129971i
\(708\) 657428. 49267.4i 1.31154 0.0982863i
\(709\) −10231.0 + 44825.0i −0.0203529 + 0.0891719i −0.984084 0.177702i \(-0.943134\pi\)
0.963731 + 0.266874i \(0.0859908\pi\)
\(710\) −119952. 27378.2i −0.237952 0.0543110i
\(711\) 49481.7 + 660287.i 0.0978825 + 1.30615i
\(712\) −250533. 170811.i −0.494203 0.336942i
\(713\) 659340. + 611778.i 1.29697 + 1.20341i
\(714\) −1.80632e6 + 708929.i −3.54322 + 1.39061i
\(715\) −173414. 138293.i −0.339212 0.270513i
\(716\) −515877. 38659.6i −1.00628 0.0754104i
\(717\) −328046. + 1.06350e6i −0.638111 + 2.06870i
\(718\) 74192.7 + 492236.i 0.143917 + 0.954827i
\(719\) −72063.5 + 66865.1i −0.139398 + 0.129343i −0.746790 0.665059i \(-0.768406\pi\)
0.607392 + 0.794402i \(0.292216\pi\)
\(720\) 294656. 611859.i 0.568395 1.18028i
\(721\) 32006.3 212348.i 0.0615694 0.408486i
\(722\) −232528. 341055.i −0.446067 0.654260i
\(723\) 343029. + 430145.i 0.656227 + 0.822883i
\(724\) −196284. + 339974.i −0.374462 + 0.648587i
\(725\) 430118. 248329.i 0.818298 0.472444i
\(726\) −215842. + 549956.i −0.409508 + 1.04341i
\(727\) −180082. 373943.i −0.340722 0.707517i 0.658252 0.752798i \(-0.271296\pi\)
−0.998974 + 0.0452806i \(0.985582\pi\)
\(728\) 85275.2 26303.9i 0.160901 0.0496315i
\(729\) −186231. 815932.i −0.350427 1.53532i
\(730\) 1.70285e6i 3.19545i
\(731\) −678007. + 720105.i −1.26882 + 1.34760i
\(732\) −132688. −0.247634
\(733\) −334107. + 76257.7i −0.621838 + 0.141930i −0.521821 0.853055i \(-0.674747\pi\)
−0.100017 + 0.994986i \(0.531890\pi\)
\(734\) −330186. 1.07044e6i −0.612868 1.98687i
\(735\) 457395. 220270.i 0.846675 0.407737i
\(736\) −727853. 285661.i −1.34366 0.527346i
\(737\) 37503.7 + 64958.4i 0.0690461 + 0.119591i
\(738\) 879553. + 507810.i 1.61491 + 0.932371i
\(739\) −608919. + 485597.i −1.11499 + 0.889174i −0.994624 0.103555i \(-0.966978\pi\)
−0.120366 + 0.992730i \(0.538407\pi\)
\(740\) −102397. + 69813.3i −0.186993 + 0.127490i
\(741\) −215492. 32480.2i −0.392459 0.0591537i
\(742\) 745695. + 359108.i 1.35442 + 0.652254i
\(743\) 412353. + 444411.i 0.746951 + 0.805021i 0.986134 0.165953i \(-0.0530700\pi\)
−0.239183 + 0.970975i \(0.576880\pi\)
\(744\) 865446. 130445.i 1.56349 0.235658i
\(745\) −900113. 277648.i −1.62175 0.500244i
\(746\) −70596.9 + 942050.i −0.126855 + 1.69276i
\(747\) 135744. 170217.i 0.243264 0.305044i
\(748\) −392085. 999017.i −0.700773 1.78554i
\(749\) −43308.5 + 46675.5i −0.0771986 + 0.0832003i
\(750\) 1.09136e6 1.60073e6i 1.94020 2.84575i
\(751\) 352304. 26401.5i 0.624652 0.0468112i 0.241356 0.970437i \(-0.422408\pi\)
0.383296 + 0.923626i \(0.374789\pi\)
\(752\) −88862.4 + 389331.i −0.157138 + 0.688468i
\(753\) 111910. + 25542.7i 0.197369 + 0.0450482i
\(754\) −11872.0 158421.i −0.0208824 0.278656i
\(755\) 531135. + 362121.i 0.931774 + 0.635273i
\(756\) −534421. 495870.i −0.935061