Properties

Label 43.5.h.a.3.10
Level 43
Weight 5
Character 43.3
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 3.10
Character \(\chi\) \(=\) 43.3
Dual form 43.5.h.a.29.10

$q$-expansion

\(f(q)\) \(=\) \(q+(1.19998 - 2.49178i) q^{2} +(-0.581777 - 0.0435981i) q^{3} +(5.20683 + 6.52916i) q^{4} +(5.37775 - 17.4342i) q^{5} +(-0.806755 + 1.39734i) q^{6} +(61.1701 - 35.3166i) q^{7} +(65.6584 - 14.9861i) q^{8} +(-79.7587 - 12.0217i) q^{9} +O(q^{10})\) \(q+(1.19998 - 2.49178i) q^{2} +(-0.581777 - 0.0435981i) q^{3} +(5.20683 + 6.52916i) q^{4} +(5.37775 - 17.4342i) q^{5} +(-0.806755 + 1.39734i) q^{6} +(61.1701 - 35.3166i) q^{7} +(65.6584 - 14.9861i) q^{8} +(-79.7587 - 12.0217i) q^{9} +(-36.9890 - 34.3208i) q^{10} +(0.426520 - 0.534839i) q^{11} +(-2.74455 - 4.02552i) q^{12} +(64.2397 - 59.6057i) q^{13} +(-14.5983 - 194.801i) q^{14} +(-3.88875 + 9.90837i) q^{15} +(11.7138 - 51.3214i) q^{16} +(-113.350 + 34.9638i) q^{17} +(-125.664 + 184.315i) q^{18} +(83.7472 + 555.626i) q^{19} +(141.832 - 55.6649i) q^{20} +(-37.1271 + 17.8795i) q^{21} +(-0.820885 - 1.70458i) q^{22} +(-0.0772625 - 0.196862i) q^{23} +(-38.8519 + 5.85598i) q^{24} +(241.367 + 164.561i) q^{25} +(-71.4381 - 231.596i) q^{26} +(91.9489 + 20.9867i) q^{27} +(549.090 + 215.502i) q^{28} +(-1485.31 + 111.308i) q^{29} +(20.0230 + 21.5797i) q^{30} +(-1143.82 + 779.844i) q^{31} +(728.638 + 581.070i) q^{32} +(-0.271457 + 0.292561i) q^{33} +(-48.8952 + 324.398i) q^{34} +(-286.760 - 1256.38i) q^{35} +(-336.799 - 583.352i) q^{36} +(202.745 + 117.055i) q^{37} +(1484.99 + 458.059i) q^{38} +(-39.9719 + 31.8765i) q^{39} +(91.8233 - 1225.30i) q^{40} +(-142.369 - 68.5614i) q^{41} +113.967i q^{42} +(1243.84 - 1368.09i) q^{43} +5.71286 q^{44} +(-638.512 + 1325.88i) q^{45} +(-0.583248 - 0.0437084i) q^{46} +(-2003.01 - 2511.69i) q^{47} +(-9.05232 + 29.3469i) q^{48} +(1294.02 - 2241.32i) q^{49} +(699.684 - 403.963i) q^{50} +(67.4687 - 15.3993i) q^{51} +(723.661 + 109.074i) q^{52} +(3131.72 + 2905.81i) q^{53} +(162.631 - 203.933i) q^{54} +(-7.03079 - 10.3123i) q^{55} +(3487.08 - 3235.53i) q^{56} +(-24.4979 - 326.902i) q^{57} +(-1504.98 + 3834.62i) q^{58} +(755.638 - 3310.66i) q^{59} +(-84.9414 + 26.2010i) q^{60} +(-2424.79 + 3556.51i) q^{61} +(570.638 + 3785.94i) q^{62} +(-5303.42 + 2081.44i) q^{63} +(3081.09 - 1483.78i) q^{64} +(-693.716 - 1440.52i) q^{65} +(0.403255 + 1.02748i) q^{66} +(-3874.95 + 584.054i) q^{67} +(-818.478 - 558.029i) q^{68} +(0.0363667 + 0.117898i) q^{69} +(-3474.72 - 793.082i) q^{70} +(492.981 + 193.481i) q^{71} +(-5416.99 + 405.947i) q^{72} +(776.658 + 837.039i) q^{73} +(534.964 - 364.732i) q^{74} +(-133.247 - 106.261i) q^{75} +(-3191.72 + 3439.85i) q^{76} +(7.20158 - 47.7794i) q^{77} +(31.4638 + 137.852i) q^{78} +(3716.30 + 6436.82i) q^{79} +(-831.756 - 480.215i) q^{80} +(6190.59 + 1909.54i) q^{81} +(-341.679 + 272.480i) q^{82} +(92.8002 - 1238.33i) q^{83} +(-310.053 - 149.313i) q^{84} +2164.20i q^{85} +(-1916.39 - 4741.04i) q^{86} +868.971 q^{87} +(19.9895 - 41.5085i) q^{88} +(2194.70 + 164.470i) q^{89} +(2537.60 + 3182.06i) q^{90} +(1824.48 - 5914.82i) q^{91} +(0.883048 - 1.52948i) q^{92} +(699.448 - 403.827i) q^{93} +(-8662.14 + 1977.08i) q^{94} +(10137.3 + 1527.95i) q^{95} +(-398.571 - 369.820i) q^{96} +(2679.77 - 3360.33i) q^{97} +(-4032.06 - 5913.95i) q^{98} +(-40.4483 + 37.5306i) 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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.19998 2.49178i 0.299994 0.622944i −0.695420 0.718603i \(-0.744782\pi\)
0.995414 + 0.0956594i \(0.0304960\pi\)
\(3\) −0.581777 0.0435981i −0.0646419 0.00484424i 0.0423699 0.999102i \(-0.486509\pi\)
−0.107012 + 0.994258i \(0.534128\pi\)
\(4\) 5.20683 + 6.52916i 0.325427 + 0.408072i
\(5\) 5.37775 17.4342i 0.215110 0.697369i −0.782129 0.623116i \(-0.785866\pi\)
0.997239 0.0742534i \(-0.0236574\pi\)
\(6\) −0.806755 + 1.39734i −0.0224099 + 0.0388150i
\(7\) 61.1701 35.3166i 1.24837 0.720747i 0.277586 0.960701i \(-0.410466\pi\)
0.970784 + 0.239954i \(0.0771323\pi\)
\(8\) 65.6584 14.9861i 1.02591 0.234158i
\(9\) −79.7587 12.0217i −0.984676 0.148416i
\(10\) −36.9890 34.3208i −0.369890 0.343208i
\(11\) 0.426520 0.534839i 0.00352496 0.00442015i −0.780066 0.625697i \(-0.784814\pi\)
0.783591 + 0.621277i \(0.213386\pi\)
\(12\) −2.74455 4.02552i −0.0190594 0.0279550i
\(13\) 64.2397 59.6057i 0.380117 0.352697i −0.466856 0.884333i \(-0.654613\pi\)
0.846972 + 0.531637i \(0.178423\pi\)
\(14\) −14.5983 194.801i −0.0744814 0.993885i
\(15\) −3.88875 + 9.90837i −0.0172833 + 0.0440372i
\(16\) 11.7138 51.3214i 0.0457569 0.200474i
\(17\) −113.350 + 34.9638i −0.392214 + 0.120982i −0.484588 0.874742i \(-0.661031\pi\)
0.0923742 + 0.995724i \(0.470554\pi\)
\(18\) −125.664 + 184.315i −0.387852 + 0.568874i
\(19\) 83.7472 + 555.626i 0.231987 + 1.53913i 0.736924 + 0.675975i \(0.236277\pi\)
−0.504938 + 0.863156i \(0.668485\pi\)
\(20\) 141.832 55.6649i 0.354580 0.139162i
\(21\) −37.1271 + 17.8795i −0.0841885 + 0.0405430i
\(22\) −0.820885 1.70458i −0.00169604 0.00352187i
\(23\) −0.0772625 0.196862i −0.000146054 0.000372139i 0.930801 0.365527i \(-0.119111\pi\)
−0.930947 + 0.365155i \(0.881016\pi\)
\(24\) −38.8519 + 5.85598i −0.0674512 + 0.0101666i
\(25\) 241.367 + 164.561i 0.386187 + 0.263298i
\(26\) −71.4381 231.596i −0.105678 0.342598i
\(27\) 91.9489 + 20.9867i 0.126130 + 0.0287884i
\(28\) 549.090 + 215.502i 0.700370 + 0.274875i
\(29\) −1485.31 + 111.308i −1.76612 + 0.132353i −0.917778 0.397094i \(-0.870019\pi\)
−0.848344 + 0.529446i \(0.822400\pi\)
\(30\) 20.0230 + 21.5797i 0.0222478 + 0.0239775i
\(31\) −1143.82 + 779.844i −1.19024 + 0.811492i −0.985888 0.167406i \(-0.946461\pi\)
−0.204352 + 0.978897i \(0.565509\pi\)
\(32\) 728.638 + 581.070i 0.711561 + 0.567451i
\(33\) −0.271457 + 0.292561i −0.000249272 + 0.000268651i
\(34\) −48.8952 + 324.398i −0.0422969 + 0.280621i
\(35\) −286.760 1256.38i −0.234090 1.02562i
\(36\) −336.799 583.352i −0.259876 0.450118i
\(37\) 202.745 + 117.055i 0.148097 + 0.0855040i 0.572218 0.820102i \(-0.306083\pi\)
−0.424120 + 0.905606i \(0.639417\pi\)
\(38\) 1484.99 + 458.059i 1.02839 + 0.317215i
\(39\) −39.9719 + 31.8765i −0.0262800 + 0.0209576i
\(40\) 91.8233 1225.30i 0.0573895 0.765810i
\(41\) −142.369 68.5614i −0.0846932 0.0407861i 0.391058 0.920366i \(-0.372109\pi\)
−0.475751 + 0.879580i \(0.657824\pi\)
\(42\) 113.967i 0.0646074i
\(43\) 1243.84 1368.09i 0.672710 0.739907i
\(44\) 5.71286 0.00295086
\(45\) −638.512 + 1325.88i −0.315314 + 0.654757i
\(46\) −0.583248 0.0437084i −0.000275637 2.06561e-5i
\(47\) −2003.01 2511.69i −0.906749 1.13703i −0.990080 0.140505i \(-0.955127\pi\)
0.0833312 0.996522i \(-0.473444\pi\)
\(48\) −9.05232 + 29.3469i −0.00392896 + 0.0127374i
\(49\) 1294.02 2241.32i 0.538952 0.933493i
\(50\) 699.684 403.963i 0.279874 0.161585i
\(51\) 67.4687 15.3993i 0.0259395 0.00592053i
\(52\) 723.661 + 109.074i 0.267626 + 0.0403381i
\(53\) 3131.72 + 2905.81i 1.11489 + 1.03446i 0.999152 + 0.0411837i \(0.0131129\pi\)
0.115735 + 0.993280i \(0.463078\pi\)
\(54\) 162.631 203.933i 0.0557719 0.0699357i
\(55\) −7.03079 10.3123i −0.00232423 0.00340902i
\(56\) 3487.08 3235.53i 1.11195 1.03174i
\(57\) −24.4979 326.902i −0.00754013 0.100616i
\(58\) −1504.98 + 3834.62i −0.447378 + 1.13990i
\(59\) 755.638 3310.66i 0.217075 0.951067i −0.742551 0.669789i \(-0.766385\pi\)
0.959626 0.281278i \(-0.0907583\pi\)
\(60\) −84.9414 + 26.2010i −0.0235948 + 0.00727804i
\(61\) −2424.79 + 3556.51i −0.651649 + 0.955794i 0.348182 + 0.937427i \(0.386799\pi\)
−0.999831 + 0.0183669i \(0.994153\pi\)
\(62\) 570.638 + 3785.94i 0.148449 + 0.984896i
\(63\) −5303.42 + 2081.44i −1.33621 + 0.524424i
\(64\) 3081.09 1483.78i 0.752220 0.362250i
\(65\) −693.716 1440.52i −0.164193 0.340950i
\(66\) 0.403255 + 1.02748i 9.25746e−5 + 0.000235876i
\(67\) −3874.95 + 584.054i −0.863209 + 0.130108i −0.565700 0.824611i \(-0.691394\pi\)
−0.297509 + 0.954719i \(0.596156\pi\)
\(68\) −818.478 558.029i −0.177007 0.120681i
\(69\) 0.0363667 + 0.117898i 7.63846e−6 + 2.47633e-5i
\(70\) −3474.72 793.082i −0.709126 0.161853i
\(71\) 492.981 + 193.481i 0.0977944 + 0.0383815i 0.413734 0.910398i \(-0.364224\pi\)
−0.315939 + 0.948779i \(0.602320\pi\)
\(72\) −5416.99 + 405.947i −1.04494 + 0.0783078i
\(73\) 776.658 + 837.039i 0.145742 + 0.157072i 0.801704 0.597722i \(-0.203927\pi\)
−0.655962 + 0.754794i \(0.727737\pi\)
\(74\) 534.964 364.732i 0.0976925 0.0666056i
\(75\) −133.247 106.261i −0.0236884 0.0188908i
\(76\) −3191.72 + 3439.85i −0.552582 + 0.595542i
\(77\) 7.20158 47.7794i 0.00121464 0.00805859i
\(78\) 31.4638 + 137.852i 0.00517157 + 0.0226581i
\(79\) 3716.30 + 6436.82i 0.595466 + 1.03138i 0.993481 + 0.113998i \(0.0363658\pi\)
−0.398015 + 0.917379i \(0.630301\pi\)
\(80\) −831.756 480.215i −0.129962 0.0750335i
\(81\) 6190.59 + 1909.54i 0.943544 + 0.291045i
\(82\) −341.679 + 272.480i −0.0508149 + 0.0405235i
\(83\) 92.8002 1238.33i 0.0134708 0.179755i −0.986410 0.164303i \(-0.947462\pi\)
0.999881 0.0154515i \(-0.00491857\pi\)
\(84\) −310.053 149.313i −0.0439417 0.0211612i
\(85\) 2164.20i 0.299543i
\(86\) −1916.39 4741.04i −0.259111 0.641028i
\(87\) 868.971 0.114807
\(88\) 19.9895 41.5085i 0.00258128 0.00536009i
\(89\) 2194.70 + 164.470i 0.277074 + 0.0207638i 0.212542 0.977152i \(-0.431826\pi\)
0.0645315 + 0.997916i \(0.479445\pi\)
\(90\) 2537.60 + 3182.06i 0.313285 + 0.392846i
\(91\) 1824.48 5914.82i 0.220321 0.714264i
\(92\) 0.883048 1.52948i 0.000104330 0.000180705i
\(93\) 699.448 403.827i 0.0808704 0.0466905i
\(94\) −8662.14 + 1977.08i −0.980323 + 0.223752i
\(95\) 10137.3 + 1527.95i 1.12325 + 0.169302i
\(96\) −398.571 369.820i −0.0432478 0.0401281i
\(97\) 2679.77 3360.33i 0.284809 0.357140i −0.618761 0.785579i \(-0.712365\pi\)
0.903570 + 0.428440i \(0.140936\pi\)
\(98\) −4032.06 5913.95i −0.419831 0.615779i
\(99\) −40.4483 + 37.5306i −0.00412696 + 0.00382926i
\(100\) 182.310 + 2432.76i 0.0182310 + 0.243276i
\(101\) 4544.40 11578.9i 0.445486 1.13508i −0.515108 0.857125i \(-0.672248\pi\)
0.960594 0.277955i \(-0.0896565\pi\)
\(102\) 42.5892 186.596i 0.00409355 0.0179350i
\(103\) −2507.56 + 773.479i −0.236361 + 0.0729078i −0.410673 0.911783i \(-0.634706\pi\)
0.174312 + 0.984691i \(0.444230\pi\)
\(104\) 3324.62 4876.32i 0.307380 0.450843i
\(105\) 112.055 + 743.434i 0.0101637 + 0.0674317i
\(106\) 10998.6 4316.64i 0.978872 0.384179i
\(107\) −1868.05 + 899.603i −0.163162 + 0.0785748i −0.513683 0.857980i \(-0.671719\pi\)
0.350520 + 0.936555i \(0.386005\pi\)
\(108\) 341.737 + 709.623i 0.0292984 + 0.0608388i
\(109\) −1888.09 4810.77i −0.158917 0.404913i 0.829132 0.559052i \(-0.188835\pi\)
−0.988049 + 0.154139i \(0.950740\pi\)
\(110\) −34.1326 + 5.14467i −0.00282088 + 0.000425179i
\(111\) −112.849 76.9392i −0.00915908 0.00624455i
\(112\) −1095.96 3553.03i −0.0873696 0.283245i
\(113\) 10890.9 + 2485.78i 0.852919 + 0.194673i 0.626562 0.779371i \(-0.284461\pi\)
0.226357 + 0.974044i \(0.427319\pi\)
\(114\) −843.963 331.231i −0.0649402 0.0254871i
\(115\) −3.84763 + 0.288340i −0.000290936 + 2.18026e-5i
\(116\) −8460.50 9118.25i −0.628753 0.677635i
\(117\) −5840.24 + 3981.81i −0.426638 + 0.290877i
\(118\) −7342.69 5855.60i −0.527340 0.420540i
\(119\) −5698.83 + 6141.87i −0.402431 + 0.433718i
\(120\) −106.841 + 708.846i −0.00741953 + 0.0492254i
\(121\) 3257.82 + 14273.5i 0.222514 + 0.974897i
\(122\) 5952.34 + 10309.8i 0.399915 + 0.692673i
\(123\) 79.8379 + 46.0945i 0.00527715 + 0.00304676i
\(124\) −11047.4 3407.67i −0.718484 0.221623i
\(125\) 13082.2 10432.7i 0.837263 0.667695i
\(126\) −1177.50 + 15712.6i −0.0741684 + 0.989708i
\(127\) −28469.1 13710.0i −1.76509 0.850022i −0.969841 0.243736i \(-0.921627\pi\)
−0.795247 0.606285i \(-0.792659\pi\)
\(128\) 5453.52i 0.332856i
\(129\) −783.283 + 741.692i −0.0470695 + 0.0445702i
\(130\) −4421.88 −0.261650
\(131\) 11243.9 23348.2i 0.655202 1.36054i −0.263142 0.964757i \(-0.584759\pi\)
0.918344 0.395784i \(-0.129527\pi\)
\(132\) −3.32361 0.249070i −0.000190749 1.42947e-5i
\(133\) 24745.7 + 31030.1i 1.39893 + 1.75420i
\(134\) −3194.51 + 10356.3i −0.177908 + 0.576763i
\(135\) 860.366 1490.20i 0.0472080 0.0817667i
\(136\) −6918.40 + 3994.34i −0.374049 + 0.215957i
\(137\) 2591.04 591.387i 0.138049 0.0315087i −0.152938 0.988236i \(-0.548874\pi\)
0.290987 + 0.956727i \(0.406016\pi\)
\(138\) 0.337415 + 0.0508571i 1.77176e−5 + 2.67050e-6i
\(139\) −6600.12 6124.01i −0.341603 0.316962i 0.490650 0.871357i \(-0.336759\pi\)
−0.832254 + 0.554395i \(0.812950\pi\)
\(140\) 6709.98 8414.05i 0.342346 0.429289i
\(141\) 1055.80 + 1548.57i 0.0531059 + 0.0778921i
\(142\) 1073.68 996.227i 0.0532472 0.0494062i
\(143\) −4.47996 59.7809i −0.000219080 0.00292341i
\(144\) −1551.25 + 3952.51i −0.0748093 + 0.190611i
\(145\) −6047.04 + 26493.8i −0.287612 + 1.26011i
\(146\) 3017.68 930.832i 0.141569 0.0436682i
\(147\) −850.551 + 1247.53i −0.0393609 + 0.0577319i
\(148\) 291.389 + 1933.24i 0.0133030 + 0.0882597i
\(149\) −24678.0 + 9685.39i −1.11157 + 0.436259i −0.848861 0.528616i \(-0.822711\pi\)
−0.262709 + 0.964875i \(0.584616\pi\)
\(150\) −424.672 + 204.511i −0.0188743 + 0.00908939i
\(151\) −9428.54 19578.6i −0.413514 0.858671i −0.998853 0.0478821i \(-0.984753\pi\)
0.585339 0.810789i \(-0.300961\pi\)
\(152\) 13825.4 + 35226.5i 0.598398 + 1.52469i
\(153\) 9460.97 1426.01i 0.404159 0.0609172i
\(154\) −110.414 75.2788i −0.00465567 0.00317418i
\(155\) 7444.80 + 24135.4i 0.309877 + 1.00460i
\(156\) −416.254 95.0072i −0.0171044 0.00390398i
\(157\) −29527.5 11588.7i −1.19792 0.470149i −0.319292 0.947656i \(-0.603445\pi\)
−0.878628 + 0.477507i \(0.841540\pi\)
\(158\) 20498.6 1536.16i 0.821126 0.0615349i
\(159\) −1695.27 1827.07i −0.0670572 0.0722704i
\(160\) 14048.9 9578.41i 0.548787 0.374156i
\(161\) −11.6786 9.31340i −0.000450547 0.000359300i
\(162\) 12186.7 13134.2i 0.464362 0.500463i
\(163\) 3185.92 21137.2i 0.119911 0.795557i −0.845339 0.534230i \(-0.820602\pi\)
0.965250 0.261327i \(-0.0841603\pi\)
\(164\) −293.644 1286.54i −0.0109178 0.0478338i
\(165\) 3.64075 + 6.30597i 0.000133728 + 0.000231624i
\(166\) −2974.29 1717.21i −0.107936 0.0623170i
\(167\) −44045.8 13586.3i −1.57932 0.487157i −0.623680 0.781680i \(-0.714363\pi\)
−0.955644 + 0.294523i \(0.904839\pi\)
\(168\) −2169.76 + 1730.33i −0.0768766 + 0.0613070i
\(169\) −1560.47 + 20823.0i −0.0546364 + 0.729072i
\(170\) 5392.69 + 2596.98i 0.186598 + 0.0898610i
\(171\) 45322.8i 1.54998i
\(172\) 15408.9 + 997.832i 0.520853 + 0.0337288i
\(173\) −17769.3 −0.593717 −0.296858 0.954922i \(-0.595939\pi\)
−0.296858 + 0.954922i \(0.595939\pi\)
\(174\) 1042.74 2165.28i 0.0344413 0.0715181i
\(175\) 20576.2 + 1541.97i 0.671875 + 0.0503501i
\(176\) −22.4525 28.1546i −0.000724836 0.000908916i
\(177\) −583.951 + 1893.12i −0.0186393 + 0.0604272i
\(178\) 3043.41 5271.35i 0.0960552 0.166372i
\(179\) −28960.9 + 16720.6i −0.903870 + 0.521849i −0.878454 0.477828i \(-0.841424\pi\)
−0.0254160 + 0.999677i \(0.508091\pi\)
\(180\) −11981.5 + 2734.70i −0.369800 + 0.0844045i
\(181\) 39452.0 + 5946.43i 1.20424 + 0.181510i 0.720344 0.693617i \(-0.243984\pi\)
0.483893 + 0.875127i \(0.339222\pi\)
\(182\) −12549.1 11643.8i −0.378851 0.351523i
\(183\) 1565.74 1963.38i 0.0467539 0.0586276i
\(184\) −8.02312 11.7678i −0.000236978 0.000347583i
\(185\) 3131.08 2905.21i 0.0914851 0.0848857i
\(186\) −166.924 2227.45i −0.00482496 0.0643846i
\(187\) −29.6460 + 75.5367i −0.000847778 + 0.00216010i
\(188\) 5969.92 26155.9i 0.168909 0.740038i
\(189\) 6365.71 1963.56i 0.178206 0.0549694i
\(190\) 15971.8 23426.4i 0.442433 0.648930i
\(191\) −2119.85 14064.3i −0.0581083 0.385523i −0.998915 0.0465786i \(-0.985168\pi\)
0.940806 0.338944i \(-0.110070\pi\)
\(192\) −1857.20 + 728.897i −0.0503797 + 0.0197726i
\(193\) 47892.4 23063.8i 1.28574 0.619178i 0.338879 0.940830i \(-0.389952\pi\)
0.946858 + 0.321652i \(0.104238\pi\)
\(194\) −5157.52 10709.7i −0.137037 0.284560i
\(195\) 340.784 + 868.303i 0.00896210 + 0.0228351i
\(196\) 21371.7 3221.26i 0.556322 0.0838521i
\(197\) 6158.71 + 4198.94i 0.158693 + 0.108195i 0.640063 0.768322i \(-0.278908\pi\)
−0.481370 + 0.876518i \(0.659861\pi\)
\(198\) 44.9807 + 145.824i 0.00114735 + 0.00371962i
\(199\) 58415.1 + 13332.9i 1.47509 + 0.336680i 0.883070 0.469241i \(-0.155473\pi\)
0.592022 + 0.805921i \(0.298330\pi\)
\(200\) 18313.9 + 7187.67i 0.457847 + 0.179692i
\(201\) 2279.82 170.849i 0.0564297 0.00422882i
\(202\) −23399.0 25218.1i −0.573448 0.618030i
\(203\) −86925.5 + 59264.8i −2.10938 + 1.43815i
\(204\) 451.843 + 360.332i 0.0108574 + 0.00865851i
\(205\) −1960.94 + 2113.39i −0.0466613 + 0.0502889i
\(206\) −1081.67 + 7176.43i −0.0254895 + 0.169112i
\(207\) 3.79575 + 16.6303i 8.85843e−5 + 0.000388113i
\(208\) −2306.56 3995.08i −0.0533136 0.0923419i
\(209\) 332.890 + 192.194i 0.00762094 + 0.00439995i
\(210\) 1986.93 + 612.888i 0.0450552 + 0.0138977i
\(211\) 10864.0 8663.78i 0.244021 0.194600i −0.493841 0.869552i \(-0.664407\pi\)
0.737861 + 0.674953i \(0.235836\pi\)
\(212\) −2666.17 + 35577.5i −0.0593220 + 0.791597i
\(213\) −278.370 134.056i −0.00613568 0.00295479i
\(214\) 5734.25i 0.125213i
\(215\) −17162.5 29042.6i −0.371282 0.628288i
\(216\) 6351.73 0.136140
\(217\) −42426.2 + 88099.0i −0.900980 + 1.87090i
\(218\) −14253.0 1068.12i −0.299912 0.0224753i
\(219\) −415.348 520.831i −0.00866013 0.0108595i
\(220\) 30.7223 99.5994i 0.000634759 0.00205784i
\(221\) −5197.52 + 9002.37i −0.106417 + 0.184320i
\(222\) −327.131 + 188.869i −0.00663768 + 0.00383226i
\(223\) 37780.5 8623.15i 0.759727 0.173403i 0.174929 0.984581i \(-0.444031\pi\)
0.584799 + 0.811178i \(0.301173\pi\)
\(224\) 65092.3 + 9811.09i 1.29728 + 0.195533i
\(225\) −17272.8 16026.8i −0.341191 0.316579i
\(226\) 19262.9 24154.9i 0.377141 0.472920i
\(227\) 12346.4 + 18108.8i 0.239601 + 0.351430i 0.927139 0.374719i \(-0.122261\pi\)
−0.687538 + 0.726149i \(0.741308\pi\)
\(228\) 2006.84 1862.07i 0.0386049 0.0358201i
\(229\) −6349.84 84732.8i −0.121085 1.61577i −0.645123 0.764078i \(-0.723194\pi\)
0.524038 0.851695i \(-0.324425\pi\)
\(230\) −3.89859 + 9.93343i −7.36973e−5 + 0.000187778i
\(231\) −6.27281 + 27.4830i −0.000117554 + 0.000515038i
\(232\) −95854.9 + 29567.3i −1.78090 + 0.549334i
\(233\) −14480.7 + 21239.3i −0.266733 + 0.391226i −0.936116 0.351692i \(-0.885606\pi\)
0.669383 + 0.742918i \(0.266559\pi\)
\(234\) 2913.63 + 19330.6i 0.0532111 + 0.353033i
\(235\) −54561.1 + 21413.7i −0.987979 + 0.387753i
\(236\) 25550.3 12304.4i 0.458746 0.220921i
\(237\) −1881.42 3906.82i −0.0334958 0.0695547i
\(238\) 8465.72 + 21570.3i 0.149455 + 0.380805i
\(239\) −84987.3 + 12809.8i −1.48785 + 0.224257i −0.842111 0.539304i \(-0.818687\pi\)
−0.645736 + 0.763561i \(0.723449\pi\)
\(240\) 462.960 + 315.641i 0.00803750 + 0.00547987i
\(241\) 16477.8 + 53419.6i 0.283703 + 0.919743i 0.979490 + 0.201494i \(0.0645797\pi\)
−0.695787 + 0.718249i \(0.744944\pi\)
\(242\) 39475.6 + 9010.05i 0.674059 + 0.153850i
\(243\) −10629.6 4171.81i −0.180013 0.0706500i
\(244\) −35846.5 + 2686.32i −0.602097 + 0.0451210i
\(245\) −32116.7 34613.6i −0.535055 0.576652i
\(246\) 210.661 143.626i 0.00348107 0.00237336i
\(247\) 38498.4 + 30701.5i 0.631029 + 0.503228i
\(248\) −63414.6 + 68344.7i −1.03107 + 1.11122i
\(249\) −107.978 + 716.387i −0.00174155 + 0.0115544i
\(250\) −10297.7 45117.0i −0.164763 0.721872i
\(251\) 16427.9 + 28453.9i 0.260756 + 0.451643i 0.966443 0.256881i \(-0.0826948\pi\)
−0.705687 + 0.708524i \(0.749361\pi\)
\(252\) −41204.0 23789.2i −0.648842 0.374609i
\(253\) −0.138243 0.0426424i −2.15975e−6 6.66193e-7i
\(254\) −68324.5 + 54487.0i −1.05903 + 0.844550i
\(255\) 94.3549 1259.08i 0.00145106 0.0193630i
\(256\) 62886.5 + 30284.5i 0.959571 + 0.462105i
\(257\) 49745.6i 0.753162i −0.926384 0.376581i \(-0.877100\pi\)
0.926384 0.376581i \(-0.122900\pi\)
\(258\) 908.210 + 2841.78i 0.0136442 + 0.0426924i
\(259\) 16535.9 0.246507
\(260\) 5793.29 12029.9i 0.0856996 0.177957i
\(261\) 119804. + 8978.10i 1.75870 + 0.131796i
\(262\) −44686.2 56034.7i −0.650984 0.816308i
\(263\) 5974.33 19368.3i 0.0863729 0.280014i −0.902074 0.431581i \(-0.857956\pi\)
0.988447 + 0.151567i \(0.0484320\pi\)
\(264\) −13.4391 + 23.2772i −0.000192824 + 0.000333982i
\(265\) 67502.2 38972.4i 0.961227 0.554965i
\(266\) 107014. 24425.3i 1.51244 0.345205i
\(267\) −1269.66 191.370i −0.0178100 0.00268442i
\(268\) −23989.6 22259.1i −0.334005 0.309911i
\(269\) 31177.5 39095.3i 0.430860 0.540282i −0.518248 0.855230i \(-0.673416\pi\)
0.949109 + 0.314948i \(0.101987\pi\)
\(270\) −2680.82 3932.04i −0.0367739 0.0539375i
\(271\) 29167.2 27063.2i 0.397151 0.368502i −0.456166 0.889895i \(-0.650778\pi\)
0.853317 + 0.521392i \(0.174587\pi\)
\(272\) 466.637 + 6226.84i 0.00630727 + 0.0841646i
\(273\) −1319.32 + 3361.56i −0.0177020 + 0.0451041i
\(274\) 1635.58 7165.93i 0.0217856 0.0954491i
\(275\) 190.961 58.9038i 0.00252511 0.000778893i
\(276\) −0.580420 + 0.851319i −7.61945e−6 + 1.11757e-5i
\(277\) 11801.4 + 78297.0i 0.153806 + 1.02044i 0.923936 + 0.382548i \(0.124953\pi\)
−0.770130 + 0.637887i \(0.779808\pi\)
\(278\) −23179.7 + 9097.35i −0.299928 + 0.117713i
\(279\) 100605. 48448.7i 1.29244 0.622406i
\(280\) −37656.5 78194.4i −0.480312 0.997378i
\(281\) 3489.90 + 8892.13i 0.0441978 + 0.112614i 0.951268 0.308365i \(-0.0997818\pi\)
−0.907070 + 0.420979i \(0.861687\pi\)
\(282\) 5125.63 772.564i 0.0644538 0.00971485i
\(283\) 12972.4 + 8844.46i 0.161975 + 0.110433i 0.641595 0.767044i \(-0.278273\pi\)
−0.479620 + 0.877476i \(0.659225\pi\)
\(284\) 1303.60 + 4226.18i 0.0161625 + 0.0523976i
\(285\) −5831.03 1330.89i −0.0717886 0.0163853i
\(286\) −154.336 60.5726i −0.00188685 0.000740533i
\(287\) −11130.1 + 834.086i −0.135125 + 0.0101262i
\(288\) −51129.8 55104.8i −0.616438 0.664362i
\(289\) −57382.6 + 39122.8i −0.687043 + 0.468418i
\(290\) 58760.3 + 46859.8i 0.698696 + 0.557191i
\(291\) −1705.53 + 1838.13i −0.0201407 + 0.0217065i
\(292\) −1421.23 + 9429.25i −0.0166686 + 0.110589i
\(293\) −26980.6 118210.i −0.314280 1.37695i −0.847419 0.530924i \(-0.821845\pi\)
0.533139 0.846027i \(-0.321012\pi\)
\(294\) 2087.92 + 3616.39i 0.0241557 + 0.0418389i
\(295\) −53655.3 30977.9i −0.616550 0.355965i
\(296\) 15066.1 + 4647.28i 0.171956 + 0.0530415i
\(297\) 50.4425 40.2266i 0.000571852 0.000456037i
\(298\) −5479.15 + 73114.2i −0.0616994 + 0.823321i
\(299\) −16.6974 8.04105i −0.000186770 8.99436e-5i
\(300\) 1423.27i 0.0158142i
\(301\) 27769.7 127614.i 0.306505 1.40853i
\(302\) −60099.4 −0.658956
\(303\) −3148.65 + 6538.24i −0.0342956 + 0.0712156i
\(304\) 29496.5 + 2210.46i 0.319171 + 0.0239186i
\(305\) 48965.1 + 61400.3i 0.526365 + 0.660041i
\(306\) 7799.63 25285.8i 0.0832974 0.270044i
\(307\) 75690.8 131100.i 0.803094 1.39100i −0.114476 0.993426i \(-0.536519\pi\)
0.917570 0.397574i \(-0.130148\pi\)
\(308\) 349.457 201.759i 0.00368376 0.00212682i
\(309\) 1492.56 340.667i 0.0156320 0.00356791i
\(310\) 69073.7 + 10411.2i 0.718769 + 0.108337i
\(311\) 73164.7 + 67886.9i 0.756451 + 0.701884i 0.960870 0.277000i \(-0.0893401\pi\)
−0.204419 + 0.978883i \(0.565531\pi\)
\(312\) −2146.79 + 2691.98i −0.0220536 + 0.0276543i
\(313\) −69386.5 101771.i −0.708249 1.03881i −0.996689 0.0813127i \(-0.974089\pi\)
0.288439 0.957498i \(-0.406864\pi\)
\(314\) −64308.8 + 59669.8i −0.652246 + 0.605195i
\(315\) 7767.83 + 103655.i 0.0782850 + 1.04464i
\(316\) −22676.9 + 57779.8i −0.227096 + 0.578631i
\(317\) −43293.6 + 189682.i −0.430829 + 1.88759i 0.0290025 + 0.999579i \(0.490767\pi\)
−0.459832 + 0.888006i \(0.652090\pi\)
\(318\) −6586.93 + 2031.80i −0.0651372 + 0.0200922i
\(319\) −573.981 + 841.876i −0.00564048 + 0.00827307i
\(320\) −9299.16 61695.9i −0.0908121 0.602499i
\(321\) 1126.01 441.925i 0.0109278 0.00428883i
\(322\) −37.2210 + 17.9247i −0.000358985 + 0.000172878i
\(323\) −28919.5 60052.1i −0.277196 0.575603i
\(324\) 19765.6 + 50362.0i 0.188287 + 0.479748i
\(325\) 25314.1 3815.49i 0.239660 0.0361230i
\(326\) −48846.1 33302.7i −0.459615 0.313360i
\(327\) 888.706 + 2881.11i 0.00831118 + 0.0269442i
\(328\) −10375.2 2368.07i −0.0964382 0.0220114i
\(329\) −211229. 82901.2i −1.95147 0.765894i
\(330\) 20.0819 1.50493i 0.000184407 1.38194e-5i
\(331\) −27081.6 29187.0i −0.247183 0.266400i 0.597257 0.802050i \(-0.296257\pi\)
−0.844440 + 0.535650i \(0.820067\pi\)
\(332\) 8568.46 5841.88i 0.0777368 0.0530001i
\(333\) −14763.5 11773.5i −0.133138 0.106174i
\(334\) −86708.0 + 93449.0i −0.777260 + 0.837687i
\(335\) −10656.0 + 70697.6i −0.0949517 + 0.629963i
\(336\) 482.701 + 2114.85i 0.00427563 + 0.0187327i
\(337\) 73106.4 + 126624.i 0.643718 + 1.11495i 0.984596 + 0.174845i \(0.0559423\pi\)
−0.340878 + 0.940107i \(0.610724\pi\)
\(338\) 50013.8 + 28875.5i 0.437780 + 0.252753i
\(339\) −6227.71 1920.99i −0.0541912 0.0167158i
\(340\) −14130.4 + 11268.6i −0.122235 + 0.0974792i
\(341\) −70.7714 + 944.378i −0.000608624 + 0.00812152i
\(342\) −112934. 54386.3i −0.965548 0.464983i
\(343\) 13211.9i 0.112299i
\(344\) 61166.3 108467.i 0.516887 0.916600i
\(345\) 2.25103 1.89123e−5
\(346\) −21322.8 + 44277.2i −0.178111 + 0.369852i
\(347\) 123173. + 9230.51i 1.02295 + 0.0766596i 0.575627 0.817712i \(-0.304758\pi\)
0.447324 + 0.894372i \(0.352377\pi\)
\(348\) 4524.58 + 5673.65i 0.0373611 + 0.0468494i
\(349\) −41061.9 + 133119.i −0.337123 + 1.09293i 0.615338 + 0.788264i \(0.289020\pi\)
−0.952461 + 0.304662i \(0.901457\pi\)
\(350\) 28533.2 49420.9i 0.232924 0.403436i
\(351\) 7157.70 4132.50i 0.0580978 0.0335428i
\(352\) 621.557 141.866i 0.00501644 0.00114497i
\(353\) 76363.6 + 11510.0i 0.612826 + 0.0923686i 0.448119 0.893974i \(-0.352094\pi\)
0.164707 + 0.986343i \(0.447332\pi\)
\(354\) 4016.51 + 3726.78i 0.0320511 + 0.0297391i
\(355\) 6024.32 7554.26i 0.0478026 0.0599426i
\(356\) 10353.6 + 15185.9i 0.0816942 + 0.119823i
\(357\) 3583.22 3324.74i 0.0281149 0.0260868i
\(358\) 6911.56 + 92228.3i 0.0539275 + 0.719612i
\(359\) 662.081 1686.96i 0.00513715 0.0130892i −0.928282 0.371877i \(-0.878714\pi\)
0.933419 + 0.358787i \(0.116810\pi\)
\(360\) −22053.8 + 96624.2i −0.170169 + 0.745557i
\(361\) −177176. + 54651.5i −1.35953 + 0.419361i
\(362\) 62158.7 91170.0i 0.474334 0.695721i
\(363\) −1273.03 8446.00i −0.00966108 0.0640971i
\(364\) 48118.6 18885.1i 0.363170 0.142534i
\(365\) 18769.8 9039.06i 0.140888 0.0678481i
\(366\) −3013.45 6257.48i −0.0224958 0.0467130i
\(367\) 307.179 + 782.678i 0.00228065 + 0.00581100i 0.932010 0.362434i \(-0.118054\pi\)
−0.929729 + 0.368245i \(0.879959\pi\)
\(368\) −11.0083 + 1.65923i −8.12873e−5 + 1.22521e-5i
\(369\) 10531.0 + 7179.89i 0.0773420 + 0.0527309i
\(370\) −3481.93 11288.1i −0.0254341 0.0824553i
\(371\) 294191. + 67147.1i 2.13738 + 0.487843i
\(372\) 6278.56 + 2464.15i 0.0453705 + 0.0178066i
\(373\) 70437.7 5278.58i 0.506277 0.0379402i 0.180856 0.983510i \(-0.442113\pi\)
0.325420 + 0.945569i \(0.394494\pi\)
\(374\) 152.646 + 164.513i 0.00109130 + 0.00117614i
\(375\) −8065.79 + 5499.16i −0.0573567 + 0.0391051i
\(376\) −169155. 134896.i −1.19649 0.954168i
\(377\) −88781.2 + 95683.3i −0.624652 + 0.673215i
\(378\) 2745.94 18218.1i 0.0192180 0.127503i
\(379\) 3800.32 + 16650.3i 0.0264570 + 0.115916i 0.986432 0.164169i \(-0.0524944\pi\)
−0.959975 + 0.280085i \(0.909637\pi\)
\(380\) 42806.9 + 74143.8i 0.296447 + 0.513461i
\(381\) 15964.9 + 9217.36i 0.109981 + 0.0634975i
\(382\) −37588.8 11594.6i −0.257591 0.0794564i
\(383\) −169449. + 135131.i −1.15516 + 0.921207i −0.997797 0.0663344i \(-0.978870\pi\)
−0.157360 + 0.987541i \(0.550298\pi\)
\(384\) 237.763 3172.73i 0.00161244 0.0215165i
\(385\) −794.269 382.500i −0.00535853 0.00258053i
\(386\) 147013.i 0.986692i
\(387\) −115654. + 94163.8i −0.772215 + 0.628727i
\(388\) 35893.2 0.238424
\(389\) 112734. 234095.i 0.745002 1.54701i −0.0894874 0.995988i \(-0.528523\pi\)
0.834489 0.551024i \(-0.185763\pi\)
\(390\) 2572.55 + 192.786i 0.0169135 + 0.00126749i
\(391\) 15.6407 + 19.6129i 0.000102307 + 0.000128288i
\(392\) 51375.0 166554.i 0.334333 1.08388i
\(393\) −7559.39 + 13093.3i −0.0489443 + 0.0847740i
\(394\) 17853.1 10307.5i 0.115006 0.0663990i
\(395\) 132206. 30175.3i 0.847342 0.193400i
\(396\) −455.651 68.6783i −0.00290564 0.000437955i
\(397\) −212055. 196758.i −1.34545 1.24839i −0.942935 0.332978i \(-0.891947\pi\)
−0.402513 0.915414i \(-0.631863\pi\)
\(398\) 103319. 129558.i 0.652252 0.817898i
\(399\) −13043.6 19131.4i −0.0819316 0.120172i
\(400\) 11272.8 10459.7i 0.0704552 0.0653728i
\(401\) 3330.79 + 44446.4i 0.0207138 + 0.276406i 0.997937 + 0.0641941i \(0.0204477\pi\)
−0.977224 + 0.212212i \(0.931933\pi\)
\(402\) 2310.01 5885.81i 0.0142943 0.0364212i
\(403\) −26995.5 + 118275.i −0.166220 + 0.728255i
\(404\) 99262.8 30618.5i 0.608168 0.187595i
\(405\) 66582.9 97659.2i 0.405931 0.595392i
\(406\) 43366.1 + 287715.i 0.263086 + 1.74546i
\(407\) 149.080 58.5097i 0.000899977 0.000353215i
\(408\) 4199.11 2022.19i 0.0252254 0.0121479i
\(409\) −102161. 212140.i −0.610717 1.26817i −0.945424 0.325844i \(-0.894352\pi\)
0.334707 0.942322i \(-0.391363\pi\)
\(410\) 2913.02 + 7422.25i 0.0173291 + 0.0441538i
\(411\) −1533.19 + 231.091i −0.00907636 + 0.00136804i
\(412\) −18106.6 12344.9i −0.106670 0.0727264i
\(413\) −70699.0 229200.i −0.414489 1.34374i
\(414\) 45.9937 + 10.4978i 0.000268347 + 6.12486e-5i
\(415\) −21090.3 8277.34i −0.122458 0.0480612i
\(416\) 81442.6 6103.28i 0.470614 0.0352677i
\(417\) 3572.80 + 3850.56i 0.0205464 + 0.0221438i
\(418\) 878.365 598.859i 0.00502716 0.00342746i
\(419\) −232772. 185630.i −1.32588 1.05735i −0.993456 0.114219i \(-0.963563\pi\)
−0.332420 0.943131i \(-0.607865\pi\)
\(420\) −4270.55 + 4602.56i −0.0242095 + 0.0260916i
\(421\) 36151.7 239851.i 0.203969 1.35325i −0.619104 0.785309i \(-0.712504\pi\)
0.823073 0.567936i \(-0.192258\pi\)
\(422\) −8551.62 37467.1i −0.0480201 0.210390i
\(423\) 129563. + 224409.i 0.724100 + 1.25418i
\(424\) 249170. + 143859.i 1.38600 + 0.800210i
\(425\) −33112.6 10213.9i −0.183322 0.0565474i
\(426\) −668.074 + 532.771i −0.00368134 + 0.00293577i
\(427\) −22720.8 + 303187.i −0.124614 + 1.66286i
\(428\) −15600.3 7512.69i −0.0851616 0.0410117i
\(429\) 34.9745i 0.000190036i
\(430\) −92962.3 + 7914.63i −0.502771 + 0.0428049i
\(431\) −216437. −1.16514 −0.582570 0.812781i \(-0.697953\pi\)
−0.582570 + 0.812781i \(0.697953\pi\)
\(432\) 2154.14 4473.11i 0.0115427 0.0239686i
\(433\) −72531.5 5435.48i −0.386857 0.0289909i −0.120118 0.992760i \(-0.538327\pi\)
−0.266739 + 0.963769i \(0.585946\pi\)
\(434\) 168613. + 211433.i 0.895180 + 1.12252i
\(435\) 4673.11 15149.8i 0.0246960 0.0800626i
\(436\) 21579.4 37376.5i 0.113518 0.196619i
\(437\) 102.911 59.4157i 0.000538888 0.000311127i
\(438\) −1796.20 + 409.971i −0.00936282 + 0.00213700i
\(439\) 283597. + 42745.3i 1.47154 + 0.221799i 0.835344 0.549728i \(-0.185268\pi\)
0.636197 + 0.771527i \(0.280507\pi\)
\(440\) −616.171 571.723i −0.00318270 0.00295312i
\(441\) −130154. + 163208.i −0.669238 + 0.839199i
\(442\) 16195.0 + 23753.7i 0.0828965 + 0.121587i
\(443\) 182760. 169577.i 0.931267 0.864090i −0.0596969 0.998217i \(-0.519013\pi\)
0.990964 + 0.134127i \(0.0428229\pi\)
\(444\) −85.2377 1137.42i −0.000432380 0.00576971i
\(445\) 14670.0 37378.5i 0.0740814 0.188756i
\(446\) 23848.7 104488.i 0.119893 0.525287i
\(447\) 14779.3 4558.82i 0.0739673 0.0228159i
\(448\) 136069. 199577.i 0.677959 0.994383i
\(449\) 26473.8 + 175642.i 0.131318 + 0.871236i 0.953366 + 0.301818i \(0.0975934\pi\)
−0.822048 + 0.569418i \(0.807168\pi\)
\(450\) −60662.2 + 23808.2i −0.299566 + 0.117571i
\(451\) −97.3925 + 46.9018i −0.000478820 + 0.000230588i
\(452\) 40477.1 + 84051.6i 0.198122 + 0.411405i
\(453\) 4631.71 + 11801.4i 0.0225707 + 0.0575092i
\(454\) 59938.5 9034.28i 0.290800 0.0438311i
\(455\) −93308.8 63616.9i −0.450713 0.307291i
\(456\) −6507.48 21096.7i −0.0312956 0.101458i
\(457\) 224096. + 51148.4i 1.07300 + 0.244906i 0.722300 0.691580i \(-0.243085\pi\)
0.350704 + 0.936486i \(0.385942\pi\)
\(458\) −218755. 85854.9i −1.04286 0.409293i
\(459\) −11156.2 + 836.040i −0.0529529 + 0.00396827i
\(460\) −21.9166 23.6205i −0.000103576 0.000111628i
\(461\) −112951. + 77008.5i −0.531480 + 0.362357i −0.799129 0.601159i \(-0.794706\pi\)
0.267649 + 0.963517i \(0.413753\pi\)
\(462\) 60.9542 + 48.6093i 0.000285574 + 0.000227738i
\(463\) 26967.7 29064.3i 0.125800 0.135581i −0.667010 0.745048i \(-0.732426\pi\)
0.792811 + 0.609468i \(0.208617\pi\)
\(464\) −11686.1 + 77532.0i −0.0542791 + 0.360118i
\(465\) −3278.95 14366.0i −0.0151645 0.0664401i
\(466\) 35547.0 + 61569.2i 0.163693 + 0.283525i
\(467\) −117737. 67975.5i −0.539857 0.311687i 0.205164 0.978728i \(-0.434227\pi\)
−0.745021 + 0.667041i \(0.767561\pi\)
\(468\) −56407.0 17399.3i −0.257538 0.0794400i
\(469\) −216404. + 172577.i −0.983830 + 0.784578i
\(470\) −12114.0 + 161650.i −0.0548393 + 0.731779i
\(471\) 16673.2 + 8029.39i 0.0751583 + 0.0361943i
\(472\) 228697.i 1.02654i
\(473\) −201.184 1248.77i −0.000899229 0.00558162i
\(474\) −11992.6 −0.0533772
\(475\) −71220.7 + 147891.i −0.315660 + 0.655474i
\(476\) −69774.1 5228.85i −0.307950 0.0230777i
\(477\) −214849. 269412.i −0.944271 1.18408i
\(478\) −70063.6 + 227141.i −0.306646 + 0.994121i
\(479\) −144542. + 250353.i −0.629973 + 1.09115i 0.357584 + 0.933881i \(0.383601\pi\)
−0.987557 + 0.157264i \(0.949733\pi\)
\(480\) −8590.95 + 4959.99i −0.0372871 + 0.0215277i
\(481\) 20001.4 4565.20i 0.0864512 0.0197319i
\(482\) 152883. + 23043.3i 0.658058 + 0.0991862i
\(483\) 6.38831 + 5.92749i 2.73837e−5 + 2.54084e-5i
\(484\) −76230.8 + 95590.4i −0.325417 + 0.408059i
\(485\) −44173.6 64790.8i −0.187793 0.275442i
\(486\) −23150.5 + 21480.5i −0.0980139 + 0.0909436i
\(487\) 30168.9 + 402576.i 0.127204 + 1.69742i 0.587152 + 0.809477i \(0.300249\pi\)
−0.459948 + 0.887946i \(0.652132\pi\)
\(488\) −105909. + 269853.i −0.444729 + 1.13315i
\(489\) −2775.03 + 12158.2i −0.0116051 + 0.0508454i
\(490\) −124789. + 38492.2i −0.519736 + 0.160317i
\(491\) 265149. 388902.i 1.09983 1.61316i 0.370756 0.928730i \(-0.379099\pi\)
0.729078 0.684430i \(-0.239949\pi\)
\(492\) 114.745 + 761.281i 0.000474026 + 0.00314496i
\(493\) 164468. 64548.8i 0.676686 0.265580i
\(494\) 122698. 59088.4i 0.502788 0.242130i
\(495\) 436.796 + 907.016i 0.00178266 + 0.00370173i
\(496\) 26624.2 + 67837.4i 0.108222 + 0.275744i
\(497\) 36988.8 5575.17i 0.149747 0.0225707i
\(498\) 1655.50 + 1128.70i 0.00667532 + 0.00455115i
\(499\) −30145.4 97729.1i −0.121065 0.392485i 0.874672 0.484715i \(-0.161077\pi\)
−0.995738 + 0.0922302i \(0.970600\pi\)
\(500\) 136234. + 31094.5i 0.544936 + 0.124378i
\(501\) 25032.5 + 9824.52i 0.0997306 + 0.0391414i
\(502\) 90613.9 6790.58i 0.359573 0.0269463i
\(503\) 77571.0 + 83601.7i 0.306594 + 0.330430i 0.867488 0.497458i \(-0.165733\pi\)
−0.560894 + 0.827887i \(0.689543\pi\)
\(504\) −317021. + 216142.i −1.24804 + 0.850898i
\(505\) −177431. 141497.i −0.695742 0.554835i
\(506\) −0.272144 + 0.293301i −1.06291e−6 + 1.14555e-6i
\(507\) 1815.69 12046.3i 0.00706360 0.0468639i
\(508\) −58719.1 257265.i −0.227537 0.996904i
\(509\) −104486. 180975.i −0.403294 0.698526i 0.590827 0.806798i \(-0.298802\pi\)
−0.994121 + 0.108272i \(0.965468\pi\)
\(510\) −3024.12 1745.98i −0.0116268 0.00671271i
\(511\) 77069.7 + 23772.8i 0.295149 + 0.0910415i
\(512\) 82704.8 65954.8i 0.315494 0.251598i
\(513\) −3960.32 + 52846.8i −0.0150486 + 0.200809i
\(514\) −123955. 59693.5i −0.469178 0.225944i
\(515\) 47876.9i 0.180514i
\(516\) −8921.05 1252.32i −0.0335055 0.00470343i
\(517\) −2197.67 −0.00822208
\(518\) 19842.7 41203.8i 0.0739506 0.153560i
\(519\) 10337.8 + 774.711i 0.0383790 + 0.00287611i
\(520\) −67136.0 84185.9i −0.248284 0.311338i
\(521\) −153764. + 498490.i −0.566472 + 1.83646i −0.0187078 + 0.999825i \(0.505955\pi\)
−0.547764 + 0.836633i \(0.684521\pi\)
\(522\) 166134. 287752.i 0.609701 1.05603i
\(523\) −44309.4 + 25582.0i −0.161992 + 0.0935259i −0.578804 0.815467i \(-0.696480\pi\)
0.416813 + 0.908992i \(0.363147\pi\)
\(524\) 210990. 48157.0i 0.768420 0.175387i
\(525\) −11903.5 1794.17i −0.0431874 0.00650945i
\(526\) −41092.4 38128.2i −0.148522 0.137808i
\(527\) 102386. 128388.i 0.368653 0.462276i
\(528\) 11.8349 + 17.3586i 4.24517e−5 + 6.22653e-5i
\(529\) 205138. 190340.i 0.733052 0.680173i
\(530\) −16109.5 214966.i −0.0573495 0.765277i
\(531\) −100069. + 254970.i −0.354902 + 0.904275i
\(532\) −73753.8 + 323137.i −0.260592 + 1.14173i
\(533\) −13232.4 + 4081.66i −0.0465784 + 0.0143675i
\(534\) −2000.41 + 2934.06i −0.00701514 + 0.0102893i
\(535\) 5638.02 + 37405.8i 0.0196978 + 0.130687i
\(536\) −245670. + 96418.4i −0.855112 + 0.335607i
\(537\) 17577.8 8465.00i 0.0609558 0.0293548i
\(538\) −60004.6 124601.i −0.207310 0.430483i
\(539\) −646.816 1648.06i −0.00222640 0.00567277i
\(540\) 14209.5 2141.74i 0.0487295 0.00734479i
\(541\) −1777.40 1211.81i −0.00607281 0.00414037i 0.560280 0.828303i \(-0.310694\pi\)
−0.566353 + 0.824163i \(0.691646\pi\)
\(542\) −32435.5 105153.i −0.110413 0.357951i
\(543\) −22693.0 5179.53i −0.0769649 0.0175667i
\(544\) −102907. 40388.2i −0.347736 0.136476i
\(545\) −94025.9 + 7046.26i −0.316559 + 0.0237228i
\(546\) 6793.11 + 7321.23i 0.0227868 + 0.0245583i
\(547\) 327781. 223478.i 1.09549 0.746894i 0.126004 0.992030i \(-0.459785\pi\)
0.969489 + 0.245135i \(0.0788324\pi\)
\(548\) 17352.4 + 13838.0i 0.0577826 + 0.0460801i
\(549\) 236153. 254513.i 0.783518 0.844432i
\(550\) 82.3740 546.516i 0.000272311 0.00180666i
\(551\) −186236. 815955.i −0.613425 2.68759i
\(552\) 4.15461 + 7.19600i 1.36349e−5 + 2.36164e-5i
\(553\) 454653. + 262494.i 1.48672 + 0.858360i
\(554\) 209260. + 64548.2i 0.681815 + 0.210312i
\(555\) −1948.25 + 1553.68i −0.00632497 + 0.00504400i
\(556\) 5618.97 74979.9i 0.0181764 0.242547i
\(557\) 452517. + 217921.i 1.45856 + 0.702406i 0.984058 0.177848i \(-0.0569135\pi\)
0.474503 + 0.880254i \(0.342628\pi\)
\(558\) 308822.i 0.991835i
\(559\) −1641.92 162026.i −0.00525446 0.518513i
\(560\) −67838.2 −0.216321
\(561\) 20.5406 42.6530i 6.52660e−5 0.000135526i
\(562\) 26345.0 + 1974.29i 0.0834114 + 0.00625082i
\(563\) −1003.85 1258.79i −0.00316704 0.00397135i 0.780245 0.625473i \(-0.215094\pi\)
−0.783412 + 0.621502i \(0.786523\pi\)
\(564\) −4613.51 + 14956.6i −0.0145035 + 0.0470192i
\(565\) 101906. 176507.i 0.319231 0.552924i
\(566\) 37605.0 21711.3i 0.117385 0.0677723i
\(567\) 446118. 101823.i 1.38766 0.316725i
\(568\) 35267.9 + 5315.78i 0.109316 + 0.0164767i
\(569\) 351704. + 326333.i 1.08631 + 1.00794i 0.999932 + 0.0116821i \(0.00371860\pi\)
0.0863744 + 0.996263i \(0.472472\pi\)
\(570\) −10313.4 + 12932.6i −0.0317432 + 0.0398048i
\(571\) 191086. + 280272.i 0.586080 + 0.859621i 0.998684 0.0512893i \(-0.0163331\pi\)
−0.412604 + 0.910910i \(0.635381\pi\)
\(572\) 366.993 340.519i 0.00112167 0.00104076i
\(573\) 620.102 + 8274.69i 0.00188866 + 0.0252024i
\(574\) −11277.5 + 28734.6i −0.0342286 + 0.0872130i
\(575\) 13.7472 60.2303i 4.15793e−5 0.000182171i
\(576\) −263582. + 81304.2i −0.794457 + 0.245057i
\(577\) −50541.2 + 74130.3i −0.151808 + 0.222661i −0.894608 0.446852i \(-0.852545\pi\)
0.742800 + 0.669513i \(0.233497\pi\)
\(578\) 28627.5 + 189931.i 0.0856894 + 0.568512i
\(579\) −28868.2 + 11329.9i −0.0861119 + 0.0337964i
\(580\) −204468. + 98466.7i −0.607813 + 0.292707i
\(581\) −38057.1 79026.3i −0.112741 0.234110i
\(582\) 2533.60 + 6455.52i 0.00747985 + 0.0190583i
\(583\) 2889.88 435.579i 0.00850242 0.00128153i
\(584\) 63538.1 + 43319.6i 0.186298 + 0.127016i
\(585\) 38012.4 + 123233.i 0.111074 + 0.360094i
\(586\) −326929. 74619.4i −0.952046 0.217298i
\(587\) −321072. 126011.i −0.931807 0.365707i −0.149615 0.988744i \(-0.547803\pi\)
−0.782192 + 0.623037i \(0.785899\pi\)
\(588\) −12574.0 + 942.290i −0.0363679 + 0.00272540i
\(589\) −529093. 570227.i −1.52511 1.64368i
\(590\) −141575. + 96524.2i −0.406708 + 0.277289i
\(591\) −3399.93 2711.35i −0.00973408 0.00776267i
\(592\) 8382.34 9034.01i 0.0239178 0.0257773i
\(593\) −48452.2 + 321459.i −0.137786 + 0.914148i 0.807959 + 0.589238i \(0.200572\pi\)
−0.945745 + 0.324910i \(0.894666\pi\)
\(594\) −39.7058 173.962i −0.000112533 0.000493040i
\(595\) 76432.0 + 132384.i 0.215894 + 0.373940i
\(596\) −191731. 110696.i −0.539760 0.311631i
\(597\) −33403.3 10303.5i −0.0937218 0.0289093i
\(598\) −40.0730 + 31.9571i −0.000112060 + 8.93646e-5i
\(599\) −26695.4 + 356225.i −0.0744017 + 0.992821i 0.827664 + 0.561223i \(0.189669\pi\)
−0.902066 + 0.431598i \(0.857950\pi\)
\(600\) −10341.2 4980.07i −0.0287256 0.0138335i
\(601\) 366980.i 1.01600i 0.861358 + 0.507999i \(0.169615\pi\)
−0.861358 + 0.507999i \(0.830385\pi\)
\(602\) −284663. 222330.i −0.785486 0.613487i
\(603\) 316082. 0.869291
\(604\) 78738.7 163503.i 0.215831 0.448178i
\(605\) 266367. + 19961.4i 0.727728 + 0.0545357i
\(606\) 12513.5 + 15691.5i 0.0340749 + 0.0427285i
\(607\) 188738. 611874.i 0.512250 1.66067i −0.216801 0.976216i \(-0.569562\pi\)
0.729052 0.684459i \(-0.239961\pi\)
\(608\) −261836. + 453514.i −0.708309 + 1.22683i
\(609\) 53155.1 30689.1i 0.143321 0.0827465i
\(610\) 211753. 48331.2i 0.569075 0.129888i
\(611\) −278384. 41959.6i −0.745696 0.112396i
\(612\) 58572.3 + 54347.2i 0.156383 + 0.145102i
\(613\) −224346. + 281321.i −0.597032 + 0.748654i −0.984912 0.173056i \(-0.944636\pi\)
0.387880 + 0.921710i \(0.373207\pi\)
\(614\) −235846. 345922.i −0.625592 0.917575i
\(615\) 1232.97 1144.03i 0.00325989 0.00302473i
\(616\) −243.182 3245.04i −0.000640871 0.00855183i
\(617\) −32623.9 + 83124.3i −0.0856969 + 0.218352i −0.967298 0.253644i \(-0.918371\pi\)
0.881601 + 0.471996i \(0.156466\pi\)
\(618\) 942.171 4127.92i 0.00246691 0.0108082i
\(619\) −328987. + 101479.i −0.858612 + 0.264847i −0.692640 0.721284i \(-0.743552\pi\)
−0.165972 + 0.986130i \(0.553076\pi\)
\(620\) −118820. + 174277.i −0.309106 + 0.453375i
\(621\) −2.97272 19.7227i −7.70851e−6 5.11426e-5i
\(622\) 256955. 100847.i 0.664165 0.260665i
\(623\) 140059. 67448.7i 0.360856 0.173779i
\(624\) 1167.73 + 2424.81i 0.00299897 + 0.00622742i
\(625\) −44830.0 114225.i −0.114765 0.292416i
\(626\) −336853. + 50772.5i −0.859592 + 0.129563i
\(627\) −185.288 126.328i −0.000471317 0.000321339i
\(628\) −78080.4 253130.i −0.197981 0.641837i
\(629\) −27073.8 6179.42i −0.0684303 0.0156188i
\(630\) 267605. + 105027.i 0.674238 + 0.264619i
\(631\) −318616. + 23877.0i −0.800220 + 0.0599682i −0.468561 0.883431i \(-0.655227\pi\)
−0.331659 + 0.943399i \(0.607608\pi\)
\(632\) 340470. + 366939.i 0.852401 + 0.918670i
\(633\) −6698.17 + 4566.74i −0.0167166 + 0.0113972i
\(634\) 420693. + 335491.i 1.04661 + 0.834647i
\(635\) −392123. + 422608.i −0.972468 + 1.04807i
\(636\) 3102.23 20581.9i 0.00766937 0.0508829i
\(637\) −50467.6 221113.i −0.124375 0.544923i
\(638\) 1409.00 + 2440.46i 0.00346155 + 0.00599557i
\(639\) −36993.6 21358.3i −0.0905993 0.0523075i
\(640\) 95078.0 + 29327.7i 0.232124 + 0.0716008i
\(641\) −534055. + 425894.i −1.29978 + 1.03654i −0.303283 + 0.952900i \(0.598083\pi\)
−0.996496 + 0.0836391i \(0.973346\pi\)
\(642\) 250.003 3336.06i 0.000606562 0.00809400i
\(643\) 305238. + 146995.i 0.738273 + 0.355534i 0.764932 0.644111i \(-0.222772\pi\)
−0.0266588 + 0.999645i \(0.508487\pi\)
\(644\) 124.745i 0.000300782i
\(645\) 8718.54 + 17644.6i 0.0209568 + 0.0424123i
\(646\) −184339. −0.441725
\(647\) −272143. + 565110.i −0.650112 + 1.34997i 0.271719 + 0.962377i \(0.412408\pi\)
−0.921830 + 0.387594i \(0.873306\pi\)
\(648\) 435081. + 32604.8i 1.03614 + 0.0776483i
\(649\) −1448.38 1816.21i −0.00343868 0.00431197i
\(650\) 20869.0 67655.6i 0.0493941 0.160132i
\(651\) 28523.6 49404.3i 0.0673041 0.116574i
\(652\) 154596. 89256.3i 0.363667 0.209963i
\(653\) 418278. 95469.1i 0.980930 0.223891i 0.298154 0.954518i \(-0.403629\pi\)
0.682777 + 0.730627i \(0.260772\pi\)
\(654\) 8245.52 + 1242.81i 0.0192780 + 0.00290569i
\(655\) −346592. 321590.i −0.807859 0.749584i
\(656\) −5186.35 + 6503.48i −0.0120519 + 0.0151126i
\(657\) −51882.7 76097.9i −0.120196 0.176296i
\(658\) −460041. + 426855.i −1.06254 + 0.985891i
\(659\) −4958.34 66164.5i −0.0114174 0.152354i −0.999999 0.00166527i \(-0.999470\pi\)
0.988581 0.150689i \(-0.0481491\pi\)
\(660\) −22.2159 + 56.6052i −5.10007e−5 + 0.000129948i
\(661\) −28851.3 + 126406.i −0.0660333 + 0.289311i −0.997153 0.0754025i \(-0.975976\pi\)
0.931120 + 0.364713i \(0.118833\pi\)
\(662\) −105225. + 32457.5i −0.240105 + 0.0740627i
\(663\) 3416.28 5010.77i 0.00777189 0.0113993i
\(664\) −12464.7 82697.6i −0.0282712 0.187567i
\(665\) 674062. 264550.i 1.52425 0.598224i
\(666\) −47052.8 + 22659.4i −0.106081 + 0.0510858i
\(667\) 136.671 + 283.800i 0.000307202 + 0.000637912i
\(668\) −140632. 358324.i −0.315159 0.803013i
\(669\) −22355.8 + 3369.59i −0.0499502 + 0.00752878i
\(670\) 163376. + 111388.i 0.363947 + 0.248135i
\(671\) 867.939 + 2813.79i 0.00192772 + 0.00624952i
\(672\) −37441.5 8545.77i −0.0829114 0.0189240i
\(673\) 17370.6 + 6817.47i 0.0383518 + 0.0150520i 0.384439 0.923150i \(-0.374395\pi\)
−0.346088 + 0.938202i \(0.612490\pi\)
\(674\) 403245. 30219.0i 0.887664 0.0665212i
\(675\) 18739.8 + 20196.7i 0.0411299 + 0.0443275i
\(676\) −144082. + 98233.4i −0.315294 + 0.214964i
\(677\) −162797. 129826.i −0.355197 0.283260i 0.429592 0.903023i \(-0.358657\pi\)
−0.784789 + 0.619763i \(0.787229\pi\)
\(678\) −12259.8 + 13212.9i −0.0266700 + 0.0287435i
\(679\) 45246.7 300192.i 0.0981403 0.651118i
\(680\) 32432.9 + 142098.i 0.0701403 + 0.307305i
\(681\) −6393.33 11073.6i −0.0137858 0.0238778i
\(682\) 2268.25 + 1309.58i 0.00487667 + 0.00281554i
\(683\) 342217. + 105560.i 0.733601 + 0.226286i 0.638975 0.769227i \(-0.279359\pi\)
0.0946252 + 0.995513i \(0.469835\pi\)
\(684\) 295920. 235988.i 0.632502 0.504404i
\(685\) 3623.56 48353.1i 0.00772244 0.103049i
\(686\) −32921.0 15853.9i −0.0699560 0.0336890i
\(687\) 49572.4i 0.105033i
\(688\) −55642.1 79861.1i −0.117551 0.168717i
\(689\) 374384. 0.788639
\(690\) 2.70119 5.60907i 5.67357e−6 1.17813e-5i
\(691\) −282756. 21189.7i −0.592183 0.0443780i −0.224732 0.974421i \(-0.572151\pi\)
−0.367452 + 0.930043i \(0.619770\pi\)
\(692\) −92522.0 116019.i −0.193211 0.242279i
\(693\) −1148.78 + 3724.25i −0.00239205 + 0.00775483i
\(694\) 170805. 295842.i 0.354634 0.614244i
\(695\) −142261. + 82134.6i −0.294522 + 0.170042i
\(696\) 57055.3 13022.5i 0.117782 0.0268829i
\(697\) 18534.7 + 2793.66i 0.0381522 + 0.00575052i
\(698\) 282431. + 262057.i 0.579697 + 0.537880i
\(699\) 9350.51 11725.2i 0.0191373 0.0239974i
\(700\) 97068.9 + 142374.i 0.198100 + 0.290559i
\(701\) −328111. + 304442.i −0.667704 + 0.619539i −0.939391 0.342847i \(-0.888609\pi\)
0.271687 + 0.962386i \(0.412418\pi\)
\(702\) −1708.20 22794.3i −0.00346628 0.0462543i
\(703\) −48059.5 + 122454.i −0.0972452 + 0.247777i
\(704\) 520.566 2280.75i 0.00105034 0.00460184i
\(705\) 32676.0 10079.2i 0.0657431 0.0202791i
\(706\) 120315. 176469.i 0.241384 0.354046i
\(707\) −130947. 868779.i −0.261974 1.73808i
\(708\) −15401.0 + 6044.46i −0.0307244 + 0.0120584i
\(709\) 653603. 314759.i 1.30023 0.626160i 0.349724 0.936853i \(-0.386275\pi\)
0.950510 + 0.310693i \(0.100561\pi\)
\(710\) −11594.5 24076.2i −0.0230004 0.0477608i
\(711\) −219026. 558069.i −0.433268 1.10395i
\(712\) 146565. 22091.2i 0.289116 0.0435772i
\(713\) 241.896 + 164.922i 0.000475827 + 0.000324413i
\(714\) −3984.73 12918.2i −0.00781633 0.0253399i
\(715\) −1066.33 243.382i −0.00208583 0.000476076i
\(716\) −259966. 102029.i −0.507096 0.199020i
\(717\) 50002.1 3747.14i 0.0972635 0.00728889i
\(718\) −3409.03 3674.06i −0.00661275 0.00712685i
\(719\) 518562. 353550.i 1.00310 0.683901i 0.0538889 0.998547i \(-0.482838\pi\)
0.949209 + 0.314646i \(0.101886\pi\)
\(720\) 60566.8 + 48300.4i 0.116834 + 0.0931721i
\(721\) −126071. + 135872.i −0.242518 + 0.261373i
\(722\) −76427.4 + 507063.i −0.146614 + 0.972719i
\(723\) −7257.38 31796.7i −0.0138836 0.0608282i
\(724\) 166595. + 288551.i 0.317822 + 0.550484i
\(725\) −376821. 217558.i −0.716901 0.413903i
\(726\) −22573.2 6962.90i −0.0428271 0.0132104i
\(727\) −166409. + 132707.i −0.314853 + 0.251087i −0.768146 0.640275i \(-0.778820\pi\)
0.453293 + 0.891361i \(0.350249\pi\)
\(728\) 31152.4 415700.i 0.0587799 0.784363i
\(729\) −466782. 224790.i −0.878333 0.422983i
\(730\) 57616.8i 0.108119i
\(731\) −93155.6 + 198562.i −0.174331 + 0.371588i
\(732\) 20971.8 0.0391393
\(733\) 257226. 534136.i 0.478749 0.994132i −0.512071 0.858943i \(-0.671122\pi\)
0.990820 0.135189i \(-0.0431641\pi\)
\(734\) 2318.87 + 173.775i 0.00430411 + 0.000322549i
\(735\) 17175.7 + 21537.6i 0.0317935 + 0.0398678i
\(736\) 58.0939 188.336i 0.000107244 0.000347678i
\(737\) −1340.37 + 2321.58i −0.00246768 + 0.00427414i
\(738\) 30527.6 17625.1i 0.0560505 0.0323608i
\(739\) −998686. + 227944.i −1.82869 + 0.417387i −0.991563 0.129623i \(-0.958623\pi\)
−0.837127 + 0.547009i \(0.815766\pi\)
\(740\) 35271.6 + 5316.34i 0.0644112 + 0.00970843i
\(741\) −21059.0 19539.9i −0.0383531 0.0355865i
\(742\) 520338. 652483.i 0.945099 1.18512i
\(743\) 191508. + 280891.i 0.346904 + 0.508815i 0.959548 0.281544i \(-0.0908464\pi\)
−0.612644 + 0.790359i \(0.709894\pi\)
\(744\) 39872.9 36996.6i 0.0720330 0.0668369i
\(745\) 36145.4 + 482327.i 0.0651240 + 0.869019i
\(746\) 71370.6 181849.i 0.128245 0.326764i
\(747\) −22288.5 + 97652.2i −0.0399429 + 0.175001i
\(748\) −647.552 + 199.743i −0.00115737 + 0.000357001i
\(749\) −82497.7 + 121002.i −0.147054 + 0.215689i
\(750\) 4023.93 + 26697.0i 0.00715364 + 0.0474613i
\(751\) 3800.19 1491.46i 0.00673791 0.00264444i −0.361970 0.932190i \(-0.617896\pi\)
0.368708 + 0.929545i \(0.379800\pi\)
\(752\) −152366. + 73375.8i −0.269435 + 0.129753i
\(753\) −8316.83 17270.1i −0.0146679 0.0304582i
\(754\) 131886. + 336041.i 0.231983 + 0.591084i
\(755\) −392041. + 59090.7i −0.687762 +