Properties

Label 29.6.d.a.7.5
Level $29$
Weight $6$
Character 29.7
Analytic conductor $4.651$
Analytic rank $0$
Dimension $66$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 29 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 29.d (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.65113077458\)
Analytic rank: \(0\)
Dimension: \(66\)
Relative dimension: \(11\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 7.5
Character \(\chi\) \(=\) 29.7
Dual form 29.6.d.a.25.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.594851 - 2.60621i) q^{2} +(-6.88516 - 3.31572i) q^{3} +(22.3925 - 10.7837i) q^{4} +(-1.88513 - 8.25929i) q^{5} +(-4.54582 + 19.9165i) q^{6} +(-133.434 - 64.2584i) q^{7} +(-94.7603 - 118.826i) q^{8} +(-115.097 - 144.327i) q^{9} +O(q^{10})\) \(q+(-0.594851 - 2.60621i) q^{2} +(-6.88516 - 3.31572i) q^{3} +(22.3925 - 10.7837i) q^{4} +(-1.88513 - 8.25929i) q^{5} +(-4.54582 + 19.9165i) q^{6} +(-133.434 - 64.2584i) q^{7} +(-94.7603 - 118.826i) q^{8} +(-115.097 - 144.327i) q^{9} +(-20.4041 + 9.82609i) q^{10} +(30.2901 - 37.9826i) q^{11} -189.931 q^{12} +(-5.30466 + 6.65183i) q^{13} +(-88.0977 + 385.981i) q^{14} +(-14.4061 + 63.1171i) q^{15} +(242.558 - 304.159i) q^{16} +847.365 q^{17} +(-307.680 + 385.819i) q^{18} +(852.670 - 410.624i) q^{19} +(-131.278 - 164.618i) q^{20} +(705.650 + 884.858i) q^{21} +(-117.009 - 56.3484i) q^{22} +(-307.429 + 1346.93i) q^{23} +(258.447 + 1132.33i) q^{24} +(2750.87 - 1324.75i) q^{25} +(20.4916 + 9.86822i) q^{26} +(727.132 + 3185.77i) q^{27} -3680.86 q^{28} +(3783.39 + 2489.40i) q^{29} +173.066 q^{30} +(-857.952 - 3758.93i) q^{31} +(-5318.83 - 2561.41i) q^{32} +(-334.491 + 161.083i) q^{33} +(-504.056 - 2208.41i) q^{34} +(-279.188 + 1223.20i) q^{35} +(-4133.67 - 1990.67i) q^{36} +(-7255.86 - 9098.56i) q^{37} +(-1577.39 - 1977.98i) q^{38} +(58.5790 - 28.2102i) q^{39} +(-802.780 + 1006.65i) q^{40} +11592.1 q^{41} +(1886.37 - 2365.43i) q^{42} +(-1172.43 + 5136.75i) q^{43} +(268.680 - 1177.16i) q^{44} +(-975.063 + 1222.69i) q^{45} +3693.27 q^{46} +(-830.220 + 1041.06i) q^{47} +(-2678.56 + 1289.92i) q^{48} +(3196.46 + 4008.24i) q^{49} +(-5088.93 - 6381.31i) q^{50} +(-5834.24 - 2809.62i) q^{51} +(-47.0535 + 206.155i) q^{52} +(4246.42 + 18604.8i) q^{53} +(7870.27 - 3790.12i) q^{54} +(-370.810 - 178.572i) q^{55} +(5008.69 + 21944.5i) q^{56} -7232.28 q^{57} +(4237.34 - 11341.1i) q^{58} +17093.0 q^{59} +(358.045 + 1568.70i) q^{60} +(12881.6 + 6203.44i) q^{61} +(-9286.23 + 4472.01i) q^{62} +(6083.59 + 26654.0i) q^{63} +(-741.499 + 3248.72i) q^{64} +(64.9394 + 31.2732i) q^{65} +(618.788 + 775.936i) q^{66} +(-10192.5 - 12781.0i) q^{67} +(18974.6 - 9137.70i) q^{68} +(6582.75 - 8254.51i) q^{69} +3354.01 q^{70} +(2782.58 - 3489.25i) q^{71} +(-6243.11 + 27352.9i) q^{72} +(18515.9 - 81123.5i) q^{73} +(-19396.6 + 24322.6i) q^{74} -23332.6 q^{75} +(14665.4 - 18389.8i) q^{76} +(-6482.42 + 3121.77i) q^{77} +(-108.367 - 135.889i) q^{78} +(-50872.5 - 63792.1i) q^{79} +(-2969.39 - 1429.98i) q^{80} +(-4425.13 + 19387.8i) q^{81} +(-6895.56 - 30211.4i) q^{82} +(-106576. + 51324.5i) q^{83} +(25343.3 + 12204.7i) q^{84} +(-1597.39 - 6998.64i) q^{85} +14084.9 q^{86} +(-17795.1 - 29684.5i) q^{87} -7383.60 q^{88} +(1135.79 + 4976.21i) q^{89} +(3766.61 + 1813.90i) q^{90} +(1135.26 - 546.711i) q^{91} +(7640.78 + 33476.4i) q^{92} +(-6556.42 + 28725.6i) q^{93} +(3207.09 + 1544.45i) q^{94} +(-4998.85 - 6268.36i) q^{95} +(28128.1 + 35271.5i) q^{96} +(88688.5 - 42710.1i) q^{97} +(8544.90 - 10715.0i) q^{98} -8968.18 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 66q - 11q^{2} - 5q^{3} - 171q^{4} + 29q^{5} + 445q^{6} + 17q^{7} + 1046q^{8} - 732q^{9} + O(q^{10}) \) \( 66q - 11q^{2} - 5q^{3} - 171q^{4} + 29q^{5} + 445q^{6} + 17q^{7} + 1046q^{8} - 732q^{9} - 141q^{10} + 1125q^{11} - 248q^{12} - 1789q^{13} + 1233q^{14} + 1061q^{15} + 2629q^{16} + 676q^{17} - 10896q^{18} - 1903q^{19} + 4081q^{20} - 439q^{21} - 2980q^{22} + 9945q^{23} + 10741q^{24} - 22114q^{25} - 1641q^{26} - 4427q^{27} + 7508q^{28} - 13100q^{29} - 40018q^{30} + 8541q^{31} + 18996q^{32} + 20725q^{33} - 8839q^{34} + 14127q^{35} + 70172q^{36} + 3791q^{37} + 36322q^{38} + 25843q^{39} - 72621q^{40} - 18720q^{41} - 72614q^{42} - 10419q^{43} + 35796q^{44} + 23163q^{45} + 15848q^{46} - 40549q^{47} - 4194q^{48} + 19808q^{49} + 201932q^{50} + 51998q^{51} + 8330q^{52} - 72275q^{53} - 197108q^{54} + 42183q^{55} + 31599q^{56} - 40162q^{57} - 258031q^{58} - 333512q^{59} + 26920q^{60} - 175281q^{61} + 213745q^{62} + 354423q^{63} - 19790q^{64} - 79593q^{65} + 103783q^{66} + 135179q^{67} + 334644q^{68} + 73673q^{69} - 511678q^{70} - 187563q^{71} - 17551q^{72} - 56675q^{73} + 159980q^{74} + 538208q^{75} - 215041q^{76} + 106099q^{77} + 37481q^{78} + 273775q^{79} + 571652q^{80} - 61356q^{81} - 37092q^{82} - 237831q^{83} + 127523q^{84} - 148844q^{85} - 348400q^{86} - 110493q^{87} - 985638q^{88} + 74239q^{89} - 630714q^{90} + 100309q^{91} + 132694q^{92} - 307921q^{93} + 206074q^{94} + 37965q^{95} + 687094q^{96} + 136055q^{97} - 115704q^{98} + 438608q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.594851 2.60621i −0.105156 0.460718i −0.999900 0.0141388i \(-0.995499\pi\)
0.894744 0.446579i \(-0.147358\pi\)
\(3\) −6.88516 3.31572i −0.441683 0.212703i 0.199806 0.979835i \(-0.435969\pi\)
−0.641489 + 0.767132i \(0.721683\pi\)
\(4\) 22.3925 10.7837i 0.699766 0.336989i
\(5\) −1.88513 8.25929i −0.0337222 0.147747i 0.955264 0.295755i \(-0.0955710\pi\)
−0.988986 + 0.148008i \(0.952714\pi\)
\(6\) −4.54582 + 19.9165i −0.0515507 + 0.225858i
\(7\) −133.434 64.2584i −1.02925 0.495661i −0.158486 0.987361i \(-0.550661\pi\)
−0.870764 + 0.491701i \(0.836375\pi\)
\(8\) −94.7603 118.826i −0.523481 0.656425i
\(9\) −115.097 144.327i −0.473649 0.593937i
\(10\) −20.4041 + 9.82609i −0.0645234 + 0.0310728i
\(11\) 30.2901 37.9826i 0.0754777 0.0946460i −0.742659 0.669670i \(-0.766436\pi\)
0.818137 + 0.575024i \(0.195007\pi\)
\(12\) −189.931 −0.380753
\(13\) −5.30466 + 6.65183i −0.00870561 + 0.0109165i −0.786165 0.618016i \(-0.787937\pi\)
0.777460 + 0.628933i \(0.216508\pi\)
\(14\) −88.0977 + 385.981i −0.120128 + 0.526315i
\(15\) −14.4061 + 63.1171i −0.0165317 + 0.0724300i
\(16\) 242.558 304.159i 0.236873 0.297030i
\(17\) 847.365 0.711129 0.355564 0.934652i \(-0.384289\pi\)
0.355564 + 0.934652i \(0.384289\pi\)
\(18\) −307.680 + 385.819i −0.223830 + 0.280674i
\(19\) 852.670 410.624i 0.541872 0.260952i −0.142865 0.989742i \(-0.545631\pi\)
0.684737 + 0.728790i \(0.259917\pi\)
\(20\) −131.278 164.618i −0.0733867 0.0920240i
\(21\) 705.650 + 884.858i 0.349174 + 0.437850i
\(22\) −117.009 56.3484i −0.0515420 0.0248213i
\(23\) −307.429 + 1346.93i −0.121178 + 0.530917i 0.877503 + 0.479572i \(0.159208\pi\)
−0.998681 + 0.0513453i \(0.983649\pi\)
\(24\) 258.447 + 1132.33i 0.0915891 + 0.401278i
\(25\) 2750.87 1324.75i 0.880277 0.423919i
\(26\) 20.4916 + 9.86822i 0.00594487 + 0.00286290i
\(27\) 727.132 + 3185.77i 0.191957 + 0.841018i
\(28\) −3680.86 −0.887266
\(29\) 3783.39 + 2489.40i 0.835385 + 0.549666i
\(30\) 173.066 0.0351082
\(31\) −857.952 3758.93i −0.160346 0.702523i −0.989623 0.143685i \(-0.954105\pi\)
0.829277 0.558837i \(-0.188752\pi\)
\(32\) −5318.83 2561.41i −0.918208 0.442186i
\(33\) −334.491 + 161.083i −0.0534687 + 0.0257492i
\(34\) −504.056 2208.41i −0.0747793 0.327630i
\(35\) −279.188 + 1223.20i −0.0385236 + 0.168783i
\(36\) −4133.67 1990.67i −0.531593 0.256002i
\(37\) −7255.86 9098.56i −0.871333 1.09262i −0.994958 0.100288i \(-0.968023\pi\)
0.123625 0.992329i \(-0.460548\pi\)
\(38\) −1577.39 1977.98i −0.177206 0.222209i
\(39\) 58.5790 28.2102i 0.00616709 0.00296992i
\(40\) −802.780 + 1006.65i −0.0793316 + 0.0994787i
\(41\) 11592.1 1.07696 0.538482 0.842637i \(-0.318998\pi\)
0.538482 + 0.842637i \(0.318998\pi\)
\(42\) 1886.37 2365.43i 0.165008 0.206913i
\(43\) −1172.43 + 5136.75i −0.0966975 + 0.423660i −0.999986 0.00537513i \(-0.998289\pi\)
0.903288 + 0.429035i \(0.141146\pi\)
\(44\) 268.680 1177.16i 0.0209220 0.0916652i
\(45\) −975.063 + 1222.69i −0.0717797 + 0.0900089i
\(46\) 3693.27 0.257346
\(47\) −830.220 + 1041.06i −0.0548212 + 0.0687436i −0.808486 0.588515i \(-0.799713\pi\)
0.753665 + 0.657259i \(0.228284\pi\)
\(48\) −2678.56 + 1289.92i −0.167802 + 0.0808093i
\(49\) 3196.46 + 4008.24i 0.190186 + 0.238486i
\(50\) −5088.93 6381.31i −0.287873 0.360982i
\(51\) −5834.24 2809.62i −0.314094 0.151260i
\(52\) −47.0535 + 206.155i −0.00241315 + 0.0105727i
\(53\) 4246.42 + 18604.8i 0.207650 + 0.909776i 0.966125 + 0.258074i \(0.0830878\pi\)
−0.758475 + 0.651702i \(0.774055\pi\)
\(54\) 7870.27 3790.12i 0.367287 0.176876i
\(55\) −370.810 178.572i −0.0165289 0.00795990i
\(56\) 5008.69 + 21944.5i 0.213429 + 0.935095i
\(57\) −7232.28 −0.294841
\(58\) 4237.34 11341.1i 0.165395 0.442677i
\(59\) 17093.0 0.639277 0.319638 0.947540i \(-0.396439\pi\)
0.319638 + 0.947540i \(0.396439\pi\)
\(60\) 358.045 + 1568.70i 0.0128398 + 0.0562550i
\(61\) 12881.6 + 6203.44i 0.443245 + 0.213456i 0.642175 0.766558i \(-0.278032\pi\)
−0.198930 + 0.980014i \(0.563747\pi\)
\(62\) −9286.23 + 4472.01i −0.306803 + 0.147749i
\(63\) 6083.59 + 26654.0i 0.193112 + 0.846078i
\(64\) −741.499 + 3248.72i −0.0226287 + 0.0991430i
\(65\) 64.9394 + 31.2732i 0.00190645 + 0.000918097i
\(66\) 618.788 + 775.936i 0.0174857 + 0.0219263i
\(67\) −10192.5 12781.0i −0.277393 0.347840i 0.623545 0.781787i \(-0.285692\pi\)
−0.900938 + 0.433948i \(0.857120\pi\)
\(68\) 18974.6 9137.70i 0.497624 0.239643i
\(69\) 6582.75 8254.51i 0.166450 0.208722i
\(70\) 3354.01 0.0818123
\(71\) 2782.58 3489.25i 0.0655092 0.0821460i −0.747997 0.663702i \(-0.768984\pi\)
0.813506 + 0.581556i \(0.197556\pi\)
\(72\) −6243.11 + 27352.9i −0.141929 + 0.621830i
\(73\) 18515.9 81123.5i 0.406666 1.78172i −0.192712 0.981255i \(-0.561728\pi\)
0.599378 0.800466i \(-0.295414\pi\)
\(74\) −19396.6 + 24322.6i −0.411762 + 0.516334i
\(75\) −23332.6 −0.478972
\(76\) 14665.4 18389.8i 0.291246 0.365210i
\(77\) −6482.42 + 3121.77i −0.124598 + 0.0600031i
\(78\) −108.367 135.889i −0.00201680 0.00252899i
\(79\) −50872.5 63792.1i −0.917098 1.15000i −0.988297 0.152542i \(-0.951254\pi\)
0.0711993 0.997462i \(-0.477317\pi\)
\(80\) −2969.39 1429.98i −0.0518731 0.0249808i
\(81\) −4425.13 + 19387.8i −0.0749400 + 0.328333i
\(82\) −6895.56 30211.4i −0.113249 0.496177i
\(83\) −106576. + 51324.5i −1.69811 + 0.817767i −0.703902 + 0.710297i \(0.748561\pi\)
−0.994208 + 0.107470i \(0.965725\pi\)
\(84\) 25343.3 + 12204.7i 0.391890 + 0.188725i
\(85\) −1597.39 6998.64i −0.0239808 0.105067i
\(86\) 14084.9 0.205356
\(87\) −17795.1 29684.5i −0.252059 0.420467i
\(88\) −7383.60 −0.101639
\(89\) 1135.79 + 4976.21i 0.0151992 + 0.0665922i 0.981959 0.189095i \(-0.0605554\pi\)
−0.966760 + 0.255687i \(0.917698\pi\)
\(90\) 3766.61 + 1813.90i 0.0490167 + 0.0236052i
\(91\) 1135.26 546.711i 0.0143711 0.00692077i
\(92\) 7640.78 + 33476.4i 0.0941170 + 0.412354i
\(93\) −6556.42 + 28725.6i −0.0786067 + 0.344399i
\(94\) 3207.09 + 1544.45i 0.0374361 + 0.0180283i
\(95\) −4998.85 6268.36i −0.0568279 0.0712599i
\(96\) 28128.1 + 35271.5i 0.311503 + 0.390612i
\(97\) 88688.5 42710.1i 0.957058 0.460895i 0.110903 0.993831i \(-0.464626\pi\)
0.846155 + 0.532937i \(0.178912\pi\)
\(98\) 8544.90 10715.0i 0.0898756 0.112700i
\(99\) −8968.18 −0.0919637
\(100\) 47313.1 59328.8i 0.473131 0.593288i
\(101\) 4372.69 19158.0i 0.0426525 0.186873i −0.949114 0.314933i \(-0.898018\pi\)
0.991766 + 0.128060i \(0.0408750\pi\)
\(102\) −3851.97 + 16876.6i −0.0366592 + 0.160614i
\(103\) −38539.5 + 48327.0i −0.357942 + 0.448845i −0.927900 0.372829i \(-0.878388\pi\)
0.569958 + 0.821674i \(0.306959\pi\)
\(104\) 1293.08 0.0117231
\(105\) 5978.05 7496.24i 0.0529159 0.0663545i
\(106\) 45962.0 22134.1i 0.397314 0.191337i
\(107\) 54320.6 + 68115.9i 0.458675 + 0.575160i 0.956358 0.292199i \(-0.0943869\pi\)
−0.497682 + 0.867359i \(0.665815\pi\)
\(108\) 50636.6 + 63496.3i 0.417739 + 0.523828i
\(109\) 89104.6 + 42910.5i 0.718347 + 0.345937i 0.757089 0.653312i \(-0.226621\pi\)
−0.0387424 + 0.999249i \(0.512335\pi\)
\(110\) −244.821 + 1072.63i −0.00192916 + 0.00845219i
\(111\) 19789.5 + 86703.3i 0.152450 + 0.667926i
\(112\) −51910.2 + 24998.6i −0.391028 + 0.188309i
\(113\) −69527.0 33482.4i −0.512221 0.246673i 0.159874 0.987137i \(-0.448891\pi\)
−0.672095 + 0.740465i \(0.734605\pi\)
\(114\) 4302.13 + 18848.9i 0.0310042 + 0.135838i
\(115\) 11704.3 0.0825277
\(116\) 111564. + 14945.0i 0.769805 + 0.103122i
\(117\) 1570.58 0.0106071
\(118\) −10167.8 44548.1i −0.0672237 0.294526i
\(119\) −113067. 54450.3i −0.731930 0.352479i
\(120\) 8865.04 4269.18i 0.0561989 0.0270640i
\(121\) 35312.0 + 154712.i 0.219260 + 0.960641i
\(122\) 8504.86 37262.2i 0.0517330 0.226657i
\(123\) −79813.2 38436.0i −0.475677 0.229074i
\(124\) −59746.8 74920.1i −0.348948 0.437566i
\(125\) −32633.5 40921.1i −0.186805 0.234246i
\(126\) 65847.1 31710.3i 0.369496 0.177940i
\(127\) −55534.4 + 69637.9i −0.305529 + 0.383122i −0.910765 0.412925i \(-0.864507\pi\)
0.605236 + 0.796046i \(0.293079\pi\)
\(128\) −180003. −0.971078
\(129\) 25104.4 31479.9i 0.132823 0.166555i
\(130\) 42.8752 187.849i 0.000222509 0.000974877i
\(131\) 45268.1 198333.i 0.230470 1.00975i −0.718781 0.695236i \(-0.755300\pi\)
0.949251 0.314519i \(-0.101843\pi\)
\(132\) −5753.04 + 7214.08i −0.0287384 + 0.0360368i
\(133\) −140161. −0.687065
\(134\) −27247.1 + 34166.7i −0.131086 + 0.164377i
\(135\) 24941.5 12011.2i 0.117784 0.0567220i
\(136\) −80296.6 100689.i −0.372263 0.466803i
\(137\) 208305. + 261206.i 0.948196 + 1.18900i 0.981868 + 0.189567i \(0.0607083\pi\)
−0.0336723 + 0.999433i \(0.510720\pi\)
\(138\) −25428.8 12245.8i −0.113665 0.0547383i
\(139\) 60606.9 265536.i 0.266064 1.16570i −0.648486 0.761227i \(-0.724597\pi\)
0.914550 0.404474i \(-0.132545\pi\)
\(140\) 6938.89 + 30401.3i 0.0299206 + 0.131091i
\(141\) 9168.06 4415.10i 0.0388356 0.0187022i
\(142\) −10749.0 5176.42i −0.0447348 0.0215431i
\(143\) 91.9751 + 402.969i 0.000376123 + 0.00164790i
\(144\) −71815.8 −0.288612
\(145\) 13428.5 35941.0i 0.0530403 0.141961i
\(146\) −222439. −0.863634
\(147\) −8717.96 38195.9i −0.0332753 0.145789i
\(148\) −260593. 125495.i −0.977930 0.470946i
\(149\) 392964. 189242.i 1.45007 0.698315i 0.467459 0.884015i \(-0.345170\pi\)
0.982606 + 0.185700i \(0.0594553\pi\)
\(150\) 13879.4 + 60809.8i 0.0503667 + 0.220671i
\(151\) −69149.5 + 302964.i −0.246801 + 1.08130i 0.687882 + 0.725822i \(0.258541\pi\)
−0.934683 + 0.355482i \(0.884317\pi\)
\(152\) −129592. 62408.1i −0.454955 0.219095i
\(153\) −97528.9 122297.i −0.336825 0.422366i
\(154\) 11992.1 + 15037.6i 0.0407467 + 0.0510947i
\(155\) −29428.8 + 14172.1i −0.0983882 + 0.0473812i
\(156\) 1007.52 1263.39i 0.00331469 0.00415649i
\(157\) 320608. 1.03807 0.519033 0.854754i \(-0.326292\pi\)
0.519033 + 0.854754i \(0.326292\pi\)
\(158\) −135994. + 170531.i −0.433389 + 0.543453i
\(159\) 32450.9 142177.i 0.101797 0.446001i
\(160\) −11128.8 + 48758.3i −0.0343675 + 0.150574i
\(161\) 127573. 159972.i 0.387878 0.486383i
\(162\) 53160.9 0.159149
\(163\) −178690. + 224070.i −0.526782 + 0.660563i −0.972034 0.234842i \(-0.924543\pi\)
0.445252 + 0.895405i \(0.353114\pi\)
\(164\) 259576. 125005.i 0.753623 0.362926i
\(165\) 1960.99 + 2459.00i 0.00560744 + 0.00703151i
\(166\) 197160. + 247230.i 0.555326 + 0.696357i
\(167\) 395332. + 190382.i 1.09691 + 0.528244i 0.892686 0.450680i \(-0.148818\pi\)
0.204224 + 0.978924i \(0.434533\pi\)
\(168\) 38276.1 167699.i 0.104630 0.458413i
\(169\) 82604.4 + 361913.i 0.222478 + 0.974738i
\(170\) −17289.7 + 8326.29i −0.0458845 + 0.0220968i
\(171\) −157403. 75801.5i −0.411646 0.198238i
\(172\) 29139.3 + 127668.i 0.0751032 + 0.329048i
\(173\) −84485.6 −0.214619 −0.107309 0.994226i \(-0.534224\pi\)
−0.107309 + 0.994226i \(0.534224\pi\)
\(174\) −66778.8 + 64035.8i −0.167211 + 0.160343i
\(175\) −452185. −1.11615
\(176\) −4205.61 18426.0i −0.0102340 0.0448383i
\(177\) −117688. 56675.6i −0.282358 0.135976i
\(178\) 12293.4 5920.20i 0.0290819 0.0140051i
\(179\) 117497. + 514789.i 0.274091 + 1.20087i 0.905135 + 0.425124i \(0.139770\pi\)
−0.631044 + 0.775747i \(0.717373\pi\)
\(180\) −8649.02 + 37893.9i −0.0198969 + 0.0871741i
\(181\) 692531. + 333505.i 1.57124 + 0.756670i 0.998030 0.0627383i \(-0.0199833\pi\)
0.573211 + 0.819408i \(0.305698\pi\)
\(182\) −2100.15 2633.51i −0.00469973 0.00589327i
\(183\) −68122.8 85423.3i −0.150371 0.188560i
\(184\) 189182. 91105.4i 0.411942 0.198381i
\(185\) −61469.4 + 77080.2i −0.132047 + 0.165582i
\(186\) 78765.1 0.166936
\(187\) 25666.8 32185.1i 0.0536744 0.0673055i
\(188\) −7364.23 + 32264.8i −0.0151961 + 0.0665786i
\(189\) 107689. 471814.i 0.219288 0.960764i
\(190\) −13363.1 + 16756.8i −0.0268549 + 0.0336750i
\(191\) −310135. −0.615131 −0.307565 0.951527i \(-0.599514\pi\)
−0.307565 + 0.951527i \(0.599514\pi\)
\(192\) 15877.2 19909.3i 0.0310828 0.0389766i
\(193\) 229977. 110751.i 0.444417 0.214020i −0.198272 0.980147i \(-0.563533\pi\)
0.642689 + 0.766127i \(0.277819\pi\)
\(194\) −164068. 205735.i −0.312983 0.392468i
\(195\) −343.425 430.641i −0.000646763 0.000811015i
\(196\) 114800. + 55284.9i 0.213453 + 0.102794i
\(197\) 223534. 979366.i 0.410372 1.79796i −0.172070 0.985085i \(-0.555046\pi\)
0.582442 0.812872i \(-0.302097\pi\)
\(198\) 5334.73 + 23373.0i 0.00967051 + 0.0423693i
\(199\) −1.00514e6 + 484048.i −1.79925 + 0.866475i −0.875953 + 0.482397i \(0.839766\pi\)
−0.923301 + 0.384078i \(0.874519\pi\)
\(200\) −418087. 201340.i −0.739080 0.355922i
\(201\) 27798.9 + 121795.i 0.0485331 + 0.212637i
\(202\) −52530.9 −0.0905809
\(203\) −344868. 575284.i −0.587372 0.979811i
\(204\) −160941. −0.270765
\(205\) −21852.5 95742.3i −0.0363176 0.159118i
\(206\) 148876. + 71694.7i 0.244431 + 0.117712i
\(207\) 229782. 110657.i 0.372727 0.179496i
\(208\) 736.523 + 3226.92i 0.00118040 + 0.00517165i
\(209\) 10230.9 44824.4i 0.0162012 0.0709821i
\(210\) −23092.9 11120.9i −0.0361351 0.0174018i
\(211\) −5157.33 6467.08i −0.00797477 0.0100001i 0.777828 0.628477i \(-0.216321\pi\)
−0.785803 + 0.618477i \(0.787750\pi\)
\(212\) 295715. + 370815.i 0.451892 + 0.566654i
\(213\) −30727.9 + 14797.8i −0.0464070 + 0.0223484i
\(214\) 145212. 182090.i 0.216754 0.271801i
\(215\) 44636.0 0.0658551
\(216\) 309648. 388287.i 0.451580 0.566263i
\(217\) −127063. + 556699.i −0.183177 + 0.802549i
\(218\) 58830.0 257751.i 0.0838412 0.367332i
\(219\) −396468. + 497155.i −0.558596 + 0.700457i
\(220\) −10229.0 −0.0142488
\(221\) −4494.99 + 5636.53i −0.00619081 + 0.00776303i
\(222\) 214196. 103151.i 0.291694 0.140473i
\(223\) −164010. 205662.i −0.220855 0.276943i 0.659044 0.752105i \(-0.270961\pi\)
−0.879899 + 0.475161i \(0.842390\pi\)
\(224\) 545120. + 683559.i 0.725892 + 0.910239i
\(225\) −507812. 244549.i −0.668723 0.322040i
\(226\) −45904.2 + 201119.i −0.0597834 + 0.261928i
\(227\) −57623.8 252466.i −0.0742227 0.325191i 0.924162 0.382000i \(-0.124765\pi\)
−0.998385 + 0.0568089i \(0.981907\pi\)
\(228\) −161949. + 77990.4i −0.206320 + 0.0993583i
\(229\) −856266. 412356.i −1.07900 0.519617i −0.192001 0.981395i \(-0.561498\pi\)
−0.886996 + 0.461778i \(0.847212\pi\)
\(230\) −6962.29 30503.8i −0.00867826 0.0380220i
\(231\) 54983.4 0.0677956
\(232\) −62711.4 685460.i −0.0764938 0.836107i
\(233\) −1.23358e6 −1.48860 −0.744302 0.667844i \(-0.767218\pi\)
−0.744302 + 0.667844i \(0.767218\pi\)
\(234\) −934.264 4093.28i −0.00111540 0.00488688i
\(235\) 10163.5 + 4894.49i 0.0120053 + 0.00578146i
\(236\) 382756. 184325.i 0.447344 0.215430i
\(237\) 138749. + 607898.i 0.160457 + 0.703007i
\(238\) −74650.9 + 327067.i −0.0854265 + 0.374278i
\(239\) 80879.0 + 38949.3i 0.0915885 + 0.0441067i 0.479117 0.877751i \(-0.340957\pi\)
−0.387529 + 0.921858i \(0.626671\pi\)
\(240\) 15703.3 + 19691.3i 0.0175980 + 0.0220671i
\(241\) 864886. + 1.08453e6i 0.959215 + 1.20282i 0.979175 + 0.203017i \(0.0650747\pi\)
−0.0199599 + 0.999801i \(0.506354\pi\)
\(242\) 382207. 184061.i 0.419528 0.202034i
\(243\) 589835. 739630.i 0.640789 0.803524i
\(244\) 355346. 0.382100
\(245\) 27079.4 33956.5i 0.0288220 0.0361417i
\(246\) −52695.5 + 230874.i −0.0555182 + 0.243241i
\(247\) −1791.72 + 7850.04i −0.00186865 + 0.00818709i
\(248\) −365358. + 458144.i −0.377215 + 0.473013i
\(249\) 903973. 0.923968
\(250\) −87237.1 + 109392.i −0.0882777 + 0.110697i
\(251\) 1.22962e6 592155.i 1.23193 0.593268i 0.299323 0.954152i \(-0.403239\pi\)
0.932611 + 0.360884i \(0.117525\pi\)
\(252\) 423654. + 531246.i 0.420252 + 0.526980i
\(253\) 41848.0 + 52475.7i 0.0411030 + 0.0515415i
\(254\) 214526. + 103310.i 0.208639 + 0.100475i
\(255\) −12207.2 + 53483.2i −0.0117562 + 0.0515071i
\(256\) 130803. + 573084.i 0.124743 + 0.546536i
\(257\) −822854. + 396266.i −0.777123 + 0.374243i −0.780021 0.625753i \(-0.784792\pi\)
0.00289806 + 0.999996i \(0.499078\pi\)
\(258\) −96976.6 46701.5i −0.0907021 0.0436799i
\(259\) 383519. + 1.68030e6i 0.355252 + 1.55646i
\(260\) 1791.39 0.00164346
\(261\) −76169.8 832565.i −0.0692120 0.756514i
\(262\) −543825. −0.489447
\(263\) −134581. 589638.i −0.119976 0.525649i −0.998821 0.0485422i \(-0.984542\pi\)
0.878845 0.477107i \(-0.158315\pi\)
\(264\) 50837.2 + 24481.9i 0.0448923 + 0.0216190i
\(265\) 145657. 70144.8i 0.127414 0.0613593i
\(266\) 83374.9 + 365289.i 0.0722489 + 0.316543i
\(267\) 8679.62 38027.9i 0.00745114 0.0326456i
\(268\) −366063. 176287.i −0.311328 0.149928i
\(269\) 156867. + 196705.i 0.132175 + 0.165743i 0.843515 0.537106i \(-0.180483\pi\)
−0.711339 + 0.702849i \(0.751911\pi\)
\(270\) −46140.2 57858.0i −0.0385185 0.0483007i
\(271\) 1.80989e6 871595.i 1.49702 0.720928i 0.507013 0.861938i \(-0.330749\pi\)
0.990008 + 0.141011i \(0.0450351\pi\)
\(272\) 205536. 257733.i 0.168448 0.211227i
\(273\) −9629.16 −0.00781955
\(274\) 556848. 698265.i 0.448085 0.561881i
\(275\) 33006.7 144612.i 0.0263190 0.115311i
\(276\) 58390.4 255825.i 0.0461391 0.202149i
\(277\) −848131. + 1.06352e6i −0.664146 + 0.832813i −0.993788 0.111293i \(-0.964501\pi\)
0.329641 + 0.944106i \(0.393072\pi\)
\(278\) −728096. −0.565037
\(279\) −443767. + 556466.i −0.341306 + 0.427984i
\(280\) 171804. 82736.4i 0.130960 0.0630669i
\(281\) −598138. 750042.i −0.451893 0.566656i 0.502741 0.864437i \(-0.332325\pi\)
−0.954634 + 0.297781i \(0.903753\pi\)
\(282\) −16960.3 21267.6i −0.0127002 0.0159256i
\(283\) −695137. 334760.i −0.515946 0.248466i 0.157745 0.987480i \(-0.449578\pi\)
−0.673691 + 0.739014i \(0.735292\pi\)
\(284\) 24682.1 108140.i 0.0181588 0.0795589i
\(285\) 13633.8 + 59733.5i 0.00994269 + 0.0435618i
\(286\) 995.512 479.413i 0.000719667 0.000346573i
\(287\) −1.54677e6 744887.i −1.10847 0.533809i
\(288\) 242499. + 1.06246e6i 0.172278 + 0.754798i
\(289\) −701829. −0.494296
\(290\) −101658. 13617.9i −0.0709815 0.00950856i
\(291\) −752249. −0.520750
\(292\) −460191. 2.01623e6i −0.315850 1.38383i
\(293\) −1.26451e6 608957.i −0.860506 0.414398i −0.0490396 0.998797i \(-0.515616\pi\)
−0.811467 + 0.584399i \(0.801330\pi\)
\(294\) −94360.7 + 45441.7i −0.0636683 + 0.0306610i
\(295\) −32222.6 141176.i −0.0215578 0.0944510i
\(296\) −393575. + 1.72436e6i −0.261095 + 1.14393i
\(297\) 143029. + 68879.0i 0.0940875 + 0.0453102i
\(298\) −726960. 911578.i −0.474209 0.594639i
\(299\) −7328.78 9190.00i −0.00474082 0.00594480i
\(300\) −522476. + 251611.i −0.335168 + 0.161409i
\(301\) 486521. 610077.i 0.309517 0.388122i
\(302\) 830721. 0.524129
\(303\) −93629.1 + 117407.i −0.0585874 + 0.0734663i
\(304\) 81927.3 358947.i 0.0508446 0.222765i
\(305\) 26952.6 118087.i 0.0165902 0.0726862i
\(306\) −260718. + 326930.i −0.159172 + 0.199596i
\(307\) 2.45143e6 1.48448 0.742238 0.670136i \(-0.233764\pi\)
0.742238 + 0.670136i \(0.233764\pi\)
\(308\) −111493. + 139808.i −0.0669688 + 0.0839762i
\(309\) 425589. 204953.i 0.253568 0.122112i
\(310\) 54441.4 + 68267.3i 0.0321755 + 0.0403468i
\(311\) 1.50657e6 + 1.88918e6i 0.883261 + 1.10757i 0.993518 + 0.113671i \(0.0362609\pi\)
−0.110258 + 0.993903i \(0.535168\pi\)
\(312\) −8903.05 4287.48i −0.00517789 0.00249354i
\(313\) 428191. 1.87603e6i 0.247045 1.08238i −0.687402 0.726277i \(-0.741249\pi\)
0.934448 0.356100i \(-0.115894\pi\)
\(314\) −190714. 835573.i −0.109159 0.478256i
\(315\) 208674. 100492.i 0.118493 0.0570633i
\(316\) −1.82708e6 879873.i −1.02929 0.495681i
\(317\) 533478. + 2.33732e6i 0.298173 + 1.30638i 0.872845 + 0.487998i \(0.162273\pi\)
−0.574672 + 0.818384i \(0.694870\pi\)
\(318\) −389846. −0.216185
\(319\) 209153. 68298.9i 0.115077 0.0375783i
\(320\) 28229.9 0.0154111
\(321\) −148153. 649100.i −0.0802505 0.351600i
\(322\) −492808. 237324.i −0.264873 0.127556i
\(323\) 722523. 347949.i 0.385341 0.185570i
\(324\) 109981. + 481860.i 0.0582045 + 0.255010i
\(325\) −5780.41 + 25325.6i −0.00303564 + 0.0133000i
\(326\) 690268. + 332415.i 0.359727 + 0.173236i
\(327\) −471220. 590891.i −0.243699 0.305589i
\(328\) −1.09847e6 1.37744e6i −0.563771 0.706947i
\(329\) 177676. 85564.4i 0.0904982 0.0435816i
\(330\) 5242.18 6573.49i 0.00264989 0.00332285i
\(331\) 2.62586e6 1.31735 0.658674 0.752428i \(-0.271117\pi\)
0.658674 + 0.752428i \(0.271117\pi\)
\(332\) −1.83305e6 + 2.29857e6i −0.912701 + 1.14449i
\(333\) −478039. + 2.09443e6i −0.236240 + 1.03503i
\(334\) 261012. 1.14357e6i 0.128025 0.560914i
\(335\) −86348.1 + 108277.i −0.0420379 + 0.0527138i
\(336\) 440298. 0.212764
\(337\) 397393. 498315.i 0.190610 0.239017i −0.677339 0.735671i \(-0.736867\pi\)
0.867949 + 0.496654i \(0.165438\pi\)
\(338\) 894086. 430569.i 0.425684 0.204999i
\(339\) 367686. + 461064.i 0.173771 + 0.217902i
\(340\) −111241. 139491.i −0.0521874 0.0654410i
\(341\) −168761. 81271.2i −0.0785936 0.0378487i
\(342\) −103923. + 455317.i −0.0480449 + 0.210498i
\(343\) 384929. + 1.68648e6i 0.176663 + 0.774010i
\(344\) 721477. 347445.i 0.328720 0.158303i
\(345\) −80585.7 38808.0i −0.0364511 0.0175539i
\(346\) 50256.3 + 220187.i 0.0225684 + 0.0988786i
\(347\) 3.65611e6 1.63003 0.815016 0.579439i \(-0.196728\pi\)
0.815016 + 0.579439i \(0.196728\pi\)
\(348\) −718585. 472815.i −0.318076 0.209287i
\(349\) −1.81011e6 −0.795504 −0.397752 0.917493i \(-0.630210\pi\)
−0.397752 + 0.917493i \(0.630210\pi\)
\(350\) 268983. + 1.17849e6i 0.117369 + 0.514228i
\(351\) −25048.4 12062.7i −0.0108521 0.00522608i
\(352\) −258397. + 124437.i −0.111155 + 0.0535296i
\(353\) 597686. + 2.61863e6i 0.255291 + 1.11850i 0.926220 + 0.376983i \(0.123039\pi\)
−0.670929 + 0.741522i \(0.734104\pi\)
\(354\) −77701.9 + 340434.i −0.0329551 + 0.144386i
\(355\) −34064.3 16404.5i −0.0143459 0.00690863i
\(356\) 79094.8 + 99181.8i 0.0330768 + 0.0414770i
\(357\) 597944. + 749798.i 0.248307 + 0.311368i
\(358\) 1.27176e6 612445.i 0.524441 0.252557i
\(359\) −2.58081e6 + 3.23624e6i −1.05687 + 1.32527i −0.113493 + 0.993539i \(0.536204\pi\)
−0.943374 + 0.331730i \(0.892368\pi\)
\(360\) 237684. 0.0966594
\(361\) −985389. + 1.23564e6i −0.397960 + 0.499026i
\(362\) 457233. 2.00327e6i 0.183386 0.803467i
\(363\) 269853. 1.18230e6i 0.107488 0.470936i
\(364\) 19525.7 24484.5i 0.00772419 0.00968583i
\(365\) −704928. −0.276957
\(366\) −182108. + 228357.i −0.0710603 + 0.0891068i
\(367\) 399518. 192398.i 0.154836 0.0745649i −0.354861 0.934919i \(-0.615472\pi\)
0.509697 + 0.860354i \(0.329758\pi\)
\(368\) 335112. + 420217.i 0.128994 + 0.161754i
\(369\) −1.33421e6 1.67304e6i −0.510103 0.639649i
\(370\) 237452. + 114351.i 0.0901721 + 0.0434246i
\(371\) 628896. 2.75537e6i 0.237216 1.03931i
\(372\) 162952. + 713940.i 0.0610524 + 0.267488i
\(373\) −689706. + 332145.i −0.256680 + 0.123611i −0.557799 0.829976i \(-0.688354\pi\)
0.301119 + 0.953586i \(0.402640\pi\)
\(374\) −99149.1 47747.7i −0.0366530 0.0176512i
\(375\) 89003.9 + 389952.i 0.0326837 + 0.143197i
\(376\) 202377. 0.0738229
\(377\) −36628.7 + 11961.1i −0.0132730 + 0.00433429i
\(378\) −1.29371e6 −0.465700
\(379\) −553581. 2.42540e6i −0.197963 0.867330i −0.972147 0.234371i \(-0.924697\pi\)
0.774185 0.632960i \(-0.218160\pi\)
\(380\) −179533. 86458.4i −0.0637800 0.0307149i
\(381\) 613263. 295332.i 0.216438 0.104231i
\(382\) 184484. + 808278.i 0.0646846 + 0.283402i
\(383\) 736458. 3.22663e6i 0.256538 1.12396i −0.668387 0.743814i \(-0.733015\pi\)
0.924924 0.380151i \(-0.124128\pi\)
\(384\) 1.23935e6 + 596838.i 0.428909 + 0.206551i
\(385\) 38003.8 + 47655.2i 0.0130670 + 0.0163855i
\(386\) −425443. 533489.i −0.145336 0.182246i
\(387\) 876312. 422009.i 0.297428 0.143234i
\(388\) 1.52539e6 1.91277e6i 0.514400 0.645037i
\(389\) −2.71543e6 −0.909839 −0.454919 0.890533i \(-0.650332\pi\)
−0.454919 + 0.890533i \(0.650332\pi\)
\(390\) −918.056 + 1151.21i −0.000305638 + 0.000383258i
\(391\) −260505. + 1.14135e6i −0.0861735 + 0.377551i
\(392\) 173384. 759643.i 0.0569892 0.249686i
\(393\) −969293. + 1.21546e6i −0.316573 + 0.396970i
\(394\) −2.68540e6 −0.871504
\(395\) −430976. + 540427.i −0.138983 + 0.174279i
\(396\) −200820. + 96709.8i −0.0643530 + 0.0309908i
\(397\) −1.69442e6 2.12474e6i −0.539567 0.676596i 0.435068 0.900398i \(-0.356724\pi\)
−0.974635 + 0.223802i \(0.928153\pi\)
\(398\) 1.85944e6 + 2.33166e6i 0.588402 + 0.737833i
\(399\) 965030. + 464734.i 0.303465 + 0.146141i
\(400\) 264312. 1.15803e6i 0.0825976 0.361884i
\(401\) −920721. 4.03394e6i −0.285935 1.25276i −0.890049 0.455865i \(-0.849330\pi\)
0.604114 0.796898i \(-0.293527\pi\)
\(402\) 300888. 144900.i 0.0928623 0.0447201i
\(403\) 29554.9 + 14232.9i 0.00906499 + 0.00436547i
\(404\) −108678. 476149.i −0.0331274 0.145141i
\(405\) 168471. 0.0510373
\(406\) −1.29417e6 + 1.24101e6i −0.389651 + 0.373645i
\(407\) −565367. −0.169178
\(408\) 218999. + 959498.i 0.0651317 + 0.285360i
\(409\) −340653. 164050.i −0.100694 0.0484918i 0.382859 0.923807i \(-0.374940\pi\)
−0.483553 + 0.875315i \(0.660654\pi\)
\(410\) −236526. + 113905.i −0.0694894 + 0.0334643i
\(411\) −568126. 2.48912e6i −0.165898 0.726845i
\(412\) −341854. + 1.49776e6i −0.0992195 + 0.434709i
\(413\) −2.28079e6 1.09837e6i −0.657976 0.316864i
\(414\) −425083. 533037.i −0.121891 0.152847i
\(415\) 624814. + 783492.i 0.178086 + 0.223313i
\(416\) 45252.7 21792.5i 0.0128207 0.00617411i
\(417\) −1.29773e6 + 1.62730e6i −0.365464 + 0.458278i
\(418\) −122908. −0.0344064
\(419\) 395573. 496033.i 0.110076 0.138031i −0.723741 0.690071i \(-0.757579\pi\)
0.833817 + 0.552040i \(0.186151\pi\)
\(420\) 53026.6 232325.i 0.0146680 0.0642647i
\(421\) −865207. + 3.79072e6i −0.237911 + 1.04236i 0.704973 + 0.709235i \(0.250959\pi\)
−0.942884 + 0.333122i \(0.891898\pi\)
\(422\) −13786.8 + 17288.0i −0.00376861 + 0.00472568i
\(423\) 245808. 0.0667953
\(424\) 1.80833e6 2.26758e6i 0.488499 0.612558i
\(425\) 2.33099e6 1.12254e6i 0.625990 0.301461i
\(426\) 56844.7 + 71281.0i 0.0151763 + 0.0190305i
\(427\) −1.32021e6 1.65550e6i −0.350409 0.439399i
\(428\) 1.95091e6 + 939510.i 0.514788 + 0.247909i
\(429\) 702.869 3079.47i 0.000184387 0.000807853i
\(430\) −26551.8 116331.i −0.00692505 0.0303406i
\(431\) −4.48846e6 + 2.16153e6i −1.16387 + 0.560490i −0.913172 0.407575i \(-0.866375\pi\)
−0.250699 + 0.968065i \(0.580660\pi\)
\(432\) 1.14535e6 + 551573.i 0.295277 + 0.142198i
\(433\) −229548. 1.00572e6i −0.0588374 0.257784i 0.936951 0.349460i \(-0.113635\pi\)
−0.995789 + 0.0916759i \(0.970778\pi\)
\(434\) 1.52646e6 0.389011
\(435\) −211627. + 202934.i −0.0536226 + 0.0514200i
\(436\) 2.45801e6 0.619252
\(437\) 290948. + 1.27473e6i 0.0728806 + 0.319311i
\(438\) 1.53153e6 + 737546.i 0.381452 + 0.183698i
\(439\) 968798. 466549.i 0.239923 0.115541i −0.310059 0.950717i \(-0.600349\pi\)
0.549982 + 0.835176i \(0.314635\pi\)
\(440\) 13919.0 + 60983.3i 0.00342750 + 0.0150169i
\(441\) 210593. 922669.i 0.0515641 0.225917i
\(442\) 17363.9 + 8361.99i 0.00422757 + 0.00203589i
\(443\) 4.58847e6 + 5.75376e6i 1.11086 + 1.39297i 0.910630 + 0.413224i \(0.135597\pi\)
0.200229 + 0.979749i \(0.435831\pi\)
\(444\) 1.37812e6 + 1.72810e6i 0.331763 + 0.416018i
\(445\) 38958.8 18761.6i 0.00932622 0.00449127i
\(446\) −438436. + 549782.i −0.104369 + 0.130874i
\(447\) −3.33309e6 −0.789003
\(448\) 307698. 385841.i 0.0724319 0.0908268i
\(449\) 424216. 1.85861e6i 0.0993049 0.435083i −0.900695 0.434452i \(-0.856942\pi\)
1.00000 0.000631073i \(-0.000200877\pi\)
\(450\) −335275. + 1.46894e6i −0.0780494 + 0.341957i
\(451\) 351125. 440297.i 0.0812868 0.101930i
\(452\) −1.91795e6 −0.441561
\(453\) 1.48065e6 1.85667e6i 0.339005 0.425099i
\(454\) −623703. + 300360.i −0.142016 + 0.0683915i
\(455\) −6655.55 8345.80i −0.00150715 0.00188990i
\(456\) 685332. + 859380.i 0.154344 + 0.193541i
\(457\) 2.19485e6 + 1.05698e6i 0.491603 + 0.236743i 0.663226 0.748419i \(-0.269187\pi\)
−0.171623 + 0.985163i \(0.554901\pi\)
\(458\) −565337. + 2.47690e6i −0.125934 + 0.551754i
\(459\) 616146. + 2.69951e6i 0.136506 + 0.598073i
\(460\) 262088. 126215.i 0.0577500 0.0278109i
\(461\) 994795. + 479068.i 0.218012 + 0.104989i 0.539703 0.841856i \(-0.318537\pi\)
−0.321690 + 0.946845i \(0.604251\pi\)
\(462\) −32706.9 143298.i −0.00712910 0.0312346i
\(463\) 914662. 0.198293 0.0991467 0.995073i \(-0.468389\pi\)
0.0991467 + 0.995073i \(0.468389\pi\)
\(464\) 1.67486e6 546928.i 0.361148 0.117933i
\(465\) 249612. 0.0535345
\(466\) 733799. + 3.21498e6i 0.156535 + 0.685826i
\(467\) −413873. 199311.i −0.0878162 0.0422900i 0.389460 0.921043i \(-0.372662\pi\)
−0.477276 + 0.878753i \(0.658376\pi\)
\(468\) 35169.3 16936.7i 0.00742249 0.00357448i
\(469\) 538741. + 2.36038e6i 0.113096 + 0.495507i
\(470\) 6710.30 29399.8i 0.00140119 0.00613902i
\(471\) −2.20744e6 1.06305e6i −0.458496 0.220800i
\(472\) −1.61974e6 2.03109e6i −0.334650 0.419637i
\(473\) 159594. + 200124.i 0.0327992 + 0.0411289i
\(474\) 1.50178e6 723217.i 0.307015 0.147851i
\(475\) 1.80161e6 2.25914e6i 0.366375 0.459420i
\(476\) −3.11903e6 −0.630961
\(477\) 2.19641e6 2.75422e6i 0.441996 0.554245i
\(478\) 53399.2 233957.i 0.0106897 0.0468345i
\(479\) 300937. 1.31849e6i 0.0599289 0.262566i −0.936084 0.351777i \(-0.885578\pi\)
0.996013 + 0.0892114i \(0.0284347\pi\)
\(480\) 238292. 298809.i 0.0472070 0.0591958i
\(481\) 99011.9 0.0195130
\(482\) 2.31204e6 2.89921e6i 0.453292 0.568411i
\(483\) −1.40878e6 + 678434.i −0.274774 + 0.132324i
\(484\) 2.45909e6 + 3.08360e6i 0.477156 + 0.598335i
\(485\) −519945. 651990.i −0.100370 0.125860i
\(486\) −2.27850e6 1.09727e6i −0.437580 0.210728i
\(487\) −1.55967e6 + 6.83336e6i −0.297996 + 1.30561i 0.575110 + 0.818076i \(0.304959\pi\)
−0.873106 + 0.487530i \(0.837898\pi\)
\(488\) −483534. 2.11850e6i −0.0919131 0.402697i
\(489\) 1.97326e6 950271.i 0.373174 0.179711i
\(490\) −104606. 50375.7i −0.0196819 0.00947831i
\(491\) −2.03280e6 8.90627e6i −0.380531 1.66722i −0.695816 0.718220i \(-0.744957\pi\)
0.315285 0.948997i \(-0.397900\pi\)
\(492\) −2.20170e6 −0.410058
\(493\) 3.20592e6 + 2.10943e6i 0.594066 + 0.390883i
\(494\) 21524.7 0.00396843
\(495\) 16906.2 + 74070.8i 0.00310122 + 0.0135873i
\(496\) −1.35142e6 650807.i −0.246652 0.118781i
\(497\) −595504. + 286780.i −0.108142 + 0.0520784i
\(498\) −537729. 2.35595e6i −0.0971607 0.425689i
\(499\) 140842. 617070.i 0.0253210 0.110939i −0.960688 0.277630i \(-0.910451\pi\)
0.986009 + 0.166691i \(0.0533083\pi\)
\(500\) −1.17203e6 564418.i −0.209658 0.100966i
\(501\) −2.09067e6 2.62162e6i −0.372127 0.466633i
\(502\) −2.27472e6 2.85241e6i −0.402874 0.505188i
\(503\) −8.18894e6 + 3.94359e6i −1.44314 + 0.694978i −0.981389 0.192032i \(-0.938492\pi\)
−0.461749 + 0.887011i \(0.652778\pi\)
\(504\) 2.59069e6 3.24862e6i 0.454296 0.569670i
\(505\) −166474. −0.0290482
\(506\) 111870. 140280.i 0.0194239 0.0243567i
\(507\) 631258. 2.76572e6i 0.109065 0.477847i
\(508\) −492602. + 2.15823e6i −0.0846910 + 0.371055i
\(509\) 3.16851e6 3.97318e6i 0.542076 0.679742i −0.433056 0.901367i \(-0.642565\pi\)
0.975132 + 0.221625i \(0.0711361\pi\)
\(510\) 146650. 0.0249665
\(511\) −7.68351e6 + 9.63482e6i −1.30169 + 1.63227i
\(512\) −3.77389e6 + 1.81741e6i −0.636230 + 0.306392i
\(513\) 1.92816e6 + 2.41783e6i 0.323481 + 0.405633i
\(514\) 1.52223e6 + 1.90881e6i 0.254139 + 0.318681i
\(515\) 471798. + 227206.i 0.0783860 + 0.0377487i
\(516\) 222681. 975630.i 0.0368179 0.161310i
\(517\) 14394.8 + 63067.7i 0.00236853 + 0.0103772i
\(518\) 4.15110e6 1.99906e6i 0.679733 0.327342i
\(519\) 581697. + 280130.i 0.0947934 + 0.0456501i
\(520\) −2437.62 10679.9i −0.000395328 0.00173205i
\(521\) −9.01619e6 −1.45522 −0.727610 0.685991i \(-0.759369\pi\)
−0.727610 + 0.685991i \(0.759369\pi\)
\(522\) −2.12453e6 + 693767.i −0.341261 + 0.111439i
\(523\) 6.87465e6 1.09900 0.549498 0.835495i \(-0.314819\pi\)
0.549498 + 0.835495i \(0.314819\pi\)
\(524\) −1.12509e6 4.92932e6i −0.179002 0.784258i
\(525\) 3.11336e6 + 1.49932e6i 0.492982 + 0.237408i
\(526\) −1.45667e6 + 701494.i −0.229560 + 0.110550i
\(527\) −726999. 3.18519e6i −0.114027 0.499584i
\(528\) −32139.0 + 140810.i −0.00501705 + 0.0219811i
\(529\) 4.07922e6 + 1.96445e6i 0.633780 + 0.305212i
\(530\) −269456. 337888.i −0.0416676 0.0522496i
\(531\) −1.96735e6 2.46698e6i −0.302793 0.379690i
\(532\) −3.13856e6 + 1.51145e6i −0.480785 + 0.231534i
\(533\) −61492.0 + 77108.5i −0.00937563 + 0.0117567i
\(534\) −104272. −0.0158239
\(535\) 460187. 577057.i 0.0695105 0.0871634i
\(536\) −552867. + 2.42227e6i −0.0831207 + 0.364175i
\(537\) 897907. 3.93399e6i 0.134368 0.588705i
\(538\) 419342. 525839.i 0.0624616 0.0783243i
\(539\) 249064. 0.0369266
\(540\) 428978. 537921.i 0.0633068 0.0793842i
\(541\) −8.20922e6 + 3.95335e6i −1.20589 + 0.580728i −0.925350 0.379114i \(-0.876229\pi\)
−0.280543 + 0.959841i \(0.590515\pi\)
\(542\) −3.34818e6 4.19848e6i −0.489565 0.613895i
\(543\) −3.66237e6 4.59247e6i −0.533044 0.668416i
\(544\) −4.50699e6 2.17045e6i −0.652964 0.314451i
\(545\) 186437. 816833.i 0.0268869 0.117799i
\(546\) 5727.92 + 25095.6i 0.000822271 + 0.00360261i
\(547\) 4.80144e6 2.31225e6i 0.686125 0.330420i −0.0581368 0.998309i \(-0.518516\pi\)
0.744261 + 0.667888i \(0.232802\pi\)
\(548\) 7.48122e6 + 3.60277e6i 1.06420 + 0.512489i
\(549\) −587304. 2.57315e6i −0.0831634 0.364363i
\(550\) −396523. −0.0558935
\(551\) 4.24819e6 + 569080.i 0.596108 + 0.0798535i
\(552\) −1.60463e6 −0.224144
\(553\) 2.68894e6 + 1.17810e7i 0.373911 + 1.63821i
\(554\) 3.27628e6 + 1.57777e6i 0.453531 + 0.218409i
\(555\) 678802. 326894.i 0.0935429 0.0450479i
\(556\) −1.50631e6 6.59959e6i −0.206647 0.905378i
\(557\) −163525. + 716449.i −0.0223329 + 0.0978470i −0.984866 0.173317i \(-0.944551\pi\)
0.962533 + 0.271164i \(0.0874086\pi\)
\(558\) 1.71424e6 + 825536.i 0.233070 + 0.112241i
\(559\) −27949.4 35047.5i −0.00378306 0.00474381i
\(560\) 304329. + 381616.i 0.0410084 + 0.0514229i
\(561\) −283436. + 136496.i −0.0380232 + 0.0183110i
\(562\) −1.59897e6 + 2.00504e6i −0.213549 + 0.267782i
\(563\) 1.48319e7 1.97209 0.986043 0.166494i \(-0.0532446\pi\)
0.986043 + 0.166494i \(0.0532446\pi\)
\(564\) 157685. 197731.i 0.0208733 0.0261744i
\(565\) −145474. + 637362.i −0.0191718 + 0.0839973i
\(566\) −458953. + 2.01081e6i −0.0602182 + 0.263833i
\(567\) 1.83629e6 2.30263e6i 0.239874 0.300792i
\(568\) −678291. −0.0882155
\(569\) 207834. 260615.i 0.0269113 0.0337458i −0.768194 0.640217i \(-0.778844\pi\)
0.795105 + 0.606472i \(0.207416\pi\)
\(570\) 147568. 71065.0i 0.0190241 0.00916155i
\(571\) 1.40022e6 + 1.75581e6i 0.179723 + 0.225366i 0.863530 0.504297i \(-0.168248\pi\)
−0.683807 + 0.729663i \(0.739677\pi\)
\(572\) 6405.03 + 8031.66i 0.000818524 + 0.00102640i
\(573\) 2.13533e6 + 1.02832e6i 0.271693 + 0.130840i
\(574\) −1.02123e6 + 4.47432e6i −0.129374 + 0.566823i
\(575\) 938652. + 4.11250e6i 0.118395 + 0.518724i
\(576\) 554220. 266898.i 0.0696027 0.0335189i
\(577\) 9.84596e6 + 4.74157e6i 1.23117 + 0.592901i 0.932402 0.361424i \(-0.117709\pi\)
0.298770 + 0.954325i \(0.403424\pi\)
\(578\) 417484. + 1.82912e6i 0.0519781 + 0.227731i
\(579\) −1.95065e6 −0.241814
\(580\) −86878.5 949616.i −0.0107236 0.117214i
\(581\) 1.75189e7 2.15312
\(582\) 447476. + 1.96052e6i 0.0547599 + 0.239919i
\(583\) 835281. + 402250.i 0.101780 + 0.0490145i
\(584\) −1.13941e7 + 5.48712e6i −1.38245 + 0.665752i
\(585\) −2960.75 12971.9i −0.000357695 0.00156716i
\(586\) −834875. + 3.65783e6i −0.100433 + 0.440027i
\(587\) −1.09995e6 529707.i −0.131758 0.0634513i 0.366843 0.930283i \(-0.380439\pi\)
−0.498601 + 0.866831i \(0.666153\pi\)
\(588\) −607109. 761290.i −0.0724141 0.0908044i
\(589\) −2.27506e6 2.85283e6i −0.270212 0.338835i
\(590\) −348768. + 167958.i −0.0412483 + 0.0198641i
\(591\) −4.78636e6 + 6.00191e6i −0.563686 + 0.706840i
\(592\) −4.52737e6 −0.530936
\(593\) 1.01817e6 1.27675e6i 0.118901 0.149097i −0.718819 0.695197i \(-0.755317\pi\)
0.837720 + 0.546101i \(0.183888\pi\)
\(594\) 94432.5 413736.i 0.0109813 0.0481124i
\(595\) −236574. + 1.03650e6i −0.0273953 + 0.120026i
\(596\) 6.75874e6 8.47519e6i 0.779382 0.977313i
\(597\) 8.52549e6 0.979002
\(598\) −19591.6 + 24567.0i −0.00224035 + 0.00280931i
\(599\) −8.82168e6 + 4.24830e6i −1.00458 + 0.483780i −0.862490 0.506074i \(-0.831096\pi\)
−0.142089 + 0.989854i \(0.545382\pi\)
\(600\) 2.21101e6 + 2.77251e6i 0.250733 + 0.314409i
\(601\) −8.98083e6 1.12616e7i −1.01422 1.27179i −0.961971 0.273152i \(-0.911934\pi\)
−0.0522453 0.998634i \(-0.516638\pi\)
\(602\) −1.87940e6 905071.i −0.211362 0.101787i
\(603\) −671517. + 2.94211e6i −0.0752080 + 0.329508i
\(604\) 1.71863e6 + 7.52980e6i 0.191686 + 0.839829i
\(605\) 1.21124e6 583305.i 0.134537 0.0647898i
\(606\) 361684. + 174178.i 0.0400080 + 0.0192669i
\(607\) −1.88501e6 8.25875e6i −0.207654 0.909793i −0.966123 0.258083i \(-0.916909\pi\)
0.758468 0.651710i \(-0.225948\pi\)
\(608\) −5.58698e6 −0.612941
\(609\) 466992. + 5.10441e6i 0.0510231 + 0.557702i
\(610\) −323792. −0.0352324
\(611\) −2520.94 11045.0i −0.000273187 0.00119691i
\(612\) −3.50273e6 1.68683e6i −0.378032 0.182050i
\(613\) 2.66042e6 1.28119e6i 0.285956 0.137709i −0.285408 0.958406i \(-0.592129\pi\)
0.571363 + 0.820697i \(0.306415\pi\)
\(614\) −1.45823e6 6.38894e6i −0.156101 0.683924i
\(615\) −166996. + 731657.i −0.0178040 + 0.0780046i
\(616\) 985222. + 474458.i 0.104612 + 0.0503786i
\(617\) 928295. + 1.16405e6i 0.0981688 + 0.123100i 0.828489 0.560005i \(-0.189201\pi\)
−0.730321 + 0.683105i \(0.760629\pi\)
\(618\) −787313. 987259.i −0.0829232 0.103982i
\(619\) −9.77243e6 + 4.70615e6i −1.02512 + 0.493673i −0.869390 0.494126i \(-0.835488\pi\)
−0.155732 + 0.987799i \(0.549774\pi\)
\(620\) −506156. + 634700.i −0.0528817 + 0.0663115i
\(621\) −4.51457e6 −0.469772
\(622\) 4.02742e6 5.05023e6i 0.417399 0.523402i
\(623\) 168210. 736978.i 0.0173633 0.0760737i
\(624\) 5628.47 24659.9i 0.000578667 0.00253531i
\(625\) 5.67247e6 7.11305e6i 0.580861 0.728377i
\(626\) −5.14404e6 −0.524648
\(627\) −219066. + 274700.i −0.0222539 + 0.0279055i
\(628\) 7.17921e6 3.45733e6i 0.726403 0.349817i
\(629\) −6.14836e6 7.70980e6i −0.619630 0.776992i
\(630\) −386035. 484072.i −0.0387503 0.0485913i
\(631\) −1.17251e7 5.64649e6i −1.17231 0.564553i −0.256647 0.966505i \(-0.582618\pi\)
−0.915661 + 0.401952i \(0.868332\pi\)
\(632\) −2.75945e6 + 1.20899e7i −0.274808 + 1.20401i
\(633\) 14066.0 + 61627.1i 0.00139528 + 0.00611311i
\(634\) 5.77422e6 2.78072e6i 0.570519 0.274747i
\(635\) 679849. + 327398.i 0.0669080 + 0.0322212i
\(636\) −806528. 3.53363e6i −0.0790636 0.346400i
\(637\) −43618.3 −0.00425912
\(638\) −302416. 504469.i −0.0294140 0.0490663i
\(639\) −823858. −0.0798179
\(640\) 339328. + 1.48669e6i 0.0327469 + 0.143473i
\(641\) 7.25092e6 + 3.49186e6i 0.697024 + 0.335669i 0.748620 0.662999i \(-0.230717\pi\)
−0.0515962 + 0.998668i \(0.516431\pi\)
\(642\) −1.60356e6 + 772236.i −0.153550 + 0.0739456i
\(643\) −1.46047e6 6.39872e6i −0.139304 0.610331i −0.995589 0.0938266i \(-0.970090\pi\)
0.856284 0.516505i \(-0.172767\pi\)
\(644\) 1.13160e6 4.95787e6i 0.107518 0.471065i
\(645\) −307326. 148000.i −0.0290871 0.0140076i
\(646\) −1.33662e6 1.67607e6i −0.126016 0.158020i
\(647\) 153361. + 192308.i 0.0144030 + 0.0180608i 0.788981 0.614418i \(-0.210609\pi\)
−0.774578 + 0.632479i \(0.782038\pi\)
\(648\) 2.72309e6 1.31137e6i 0.254756 0.122684i
\(649\) 517749. 649237.i 0.0482512 0.0605050i
\(650\) 69442.5 0.00644676
\(651\) 2.72071e6 3.41166e6i 0.251611 0.315510i
\(652\) −1.58502e6 + 6.94442e6i −0.146021 + 0.639759i
\(653\) −1.25442e6 + 5.49598e6i −0.115123 + 0.504385i 0.884183 + 0.467140i \(0.154716\pi\)
−0.999306 + 0.0372456i \(0.988142\pi\)
\(654\) −1.25968e6 + 1.57959e6i −0.115164 + 0.144411i
\(655\) −1.72342e6 −0.156960
\(656\) 2.81175e6 3.52583e6i 0.255104 0.319891i
\(657\) −1.38394e7 + 6.66471e6i −1.25085 + 0.602376i
\(658\) −328690. 412164.i −0.0295952 0.0371113i
\(659\) −6.69965e6 8.40109e6i −0.600950 0.753567i 0.384576 0.923093i \(-0.374348\pi\)
−0.985526 + 0.169526i \(0.945776\pi\)
\(660\) 70428.4 + 33916.5i 0.00629344 + 0.00303076i
\(661\) 1.04831e6 4.59295e6i 0.0933225 0.408873i −0.906591 0.422010i \(-0.861325\pi\)
0.999914 + 0.0131373i \(0.00418186\pi\)
\(662\) −1.56199e6 6.84354e6i −0.138527 0.606926i
\(663\) 49637.8 23904.3i 0.00438560 0.00211199i
\(664\) 1.61979e7 + 7.80049e6i 1.42573 + 0.686596i
\(665\) 264222. + 1.15763e6i 0.0231694 + 0.101512i
\(666\) 5.74288e6 0.501700
\(667\) −4.51618e6 + 4.33067e6i −0.393058 + 0.376912i
\(668\) 1.09055e7 0.945593
\(669\) 447316. + 1.95982e6i 0.0386411 + 0.169298i
\(670\) 333557. + 160633.i 0.0287067 + 0.0138244i
\(671\) 625806. 301372.i 0.0536579 0.0258403i
\(672\) −1.48675e6 6.51387e6i −0.127003 0.556437i
\(673\) 4.30019e6 1.88404e7i 0.365974 1.60344i −0.371749 0.928333i \(-0.621242\pi\)
0.737723 0.675103i \(-0.235901\pi\)
\(674\) −1.53511e6 739268.i −0.130163 0.0626833i
\(675\) 6.22059e6 + 7.80037e6i 0.525499 + 0.658955i
\(676\) 5.75247e6 + 7.21337e6i 0.484159 + 0.607116i
\(677\) −6.99867e6 + 3.37038e6i −0.586873 + 0.282623i −0.703663 0.710534i \(-0.748454\pi\)
0.116791 + 0.993157i \(0.462739\pi\)
\(678\) 982912. 1.23253e6i 0.0821184 0.102973i
\(679\) −1.45785e7 −1.21350
\(680\) −680248. + 853004.i −0.0564150 + 0.0707422i
\(681\) −440358. + 1.92933e6i −0.0363863 + 0.159419i
\(682\) −111422. + 488172.i −0.00917298 + 0.0401895i
\(683\) −6.41705e6 + 8.04672e6i −0.526361 + 0.660036i −0.971946 0.235204i \(-0.924424\pi\)
0.445585 + 0.895240i \(0.352996\pi\)
\(684\) −4.34207e6 −0.354860
\(685\) 1.76469e6 2.21286e6i 0.143695 0.180188i
\(686\) 4.16636e6 2.00641e6i 0.338023 0.162783i
\(687\) 4.52827e6 + 5.67827e6i 0.366050 + 0.459012i
\(688\) 1.27800e6 + 1.60257e6i 0.102934 + 0.129076i
\(689\) −146282. 70445.5i −0.0117393 0.00565334i
\(690\) −53205.5 + 233108.i −0.00425435 + 0.0186395i
\(691\) −4.00634e6 1.75529e7i −0.319192 1.39847i −0.838973 0.544173i \(-0.816843\pi\)
0.519780 0.854300i \(-0.326014\pi\)
\(692\) −1.89184e6 + 911064.i −0.150183 + 0.0723242i
\(693\) 1.19666e6 + 576280.i 0.0946536 + 0.0455828i
\(694\) −2.17484e6 9.52861e6i −0.171407 0.750985i
\(695\) −2.30739e6 −0.181201
\(696\) −1.84101e6 + 4.92743e6i −0.144057 + 0.385565i
\(697\) 9.82272e6 0.765861
\(698\) 1.07675e6 + 4.71754e6i 0.0836519 + 0.366503i
\(699\) 8.49342e6 + 4.09022e6i 0.657491 + 0.316631i
\(700\) −1.01255e7 + 4.87621e6i −0.781040 + 0.376129i
\(701\) 2.40048e6 + 1.05172e7i 0.184503 + 0.808361i 0.979451 + 0.201683i \(0.0646411\pi\)
−0.794948 + 0.606678i \(0.792502\pi\)
\(702\) −16537.8 + 72457.0i −0.00126659 + 0.00554929i
\(703\) −9.92293e6 4.77863e6i −0.757272 0.364683i
\(704\) 100935. + 126568.i 0.00767553 + 0.00962481i
\(705\) −53748.6 67398.6i −0.00407281 0.00510714i
\(706\) 6.46918e6 3.11539e6i 0.488470 0.235235i
\(707\) −1.81453e6 + 2.27534e6i −0.136526 + 0.171198i
\(708\) −3.24650e6 −0.243407
\(709\) −3.91082e6 + 4.90402e6i −0.292181 + 0.366384i −0.906157 0.422941i \(-0.860998\pi\)
0.613976 + 0.789325i \(0.289569\pi\)
\(710\) −22490.4 + 98536.9i −0.00167437 + 0.00733590i
\(711\) −3.35165e6 + 1.46845e7i −0.248647 + 1.08940i
\(712\) 483673. 606507.i 0.0357563 0.0448369i
\(713\) 5.32680e6 0.392412
\(714\) 1.59845e6 2.00439e6i 0.117342 0.147142i
\(715\) 3154.85 1519.30i 0.000230788 0.000111142i
\(716\) 8.18237e6 + 1.02604e7i 0.596481 + 0.747963i
\(717\) −427720. 536344.i −0.0310715 0.0389624i
\(718\) 9.96952e6 + 4.80107e6i 0.721711 + 0.347558i
\(719\) −5.79690e6 + 2.53979e7i −0.418190 + 1.83221i 0.124427 + 0.992229i \(0.460291\pi\)
−0.542616 + 0.839981i \(0.682566\pi\)
\(720\) 135382. + 593148.i 0.00973262 + 0.0426414i
\(721\) 8.24788e6 3.97197e6i 0.590887 0.284556i
\(722\) 3.80650e6 + 1.83311e6i 0.271758 + 0.130872i
\(723\) −2.35887e6 1.03349e7i −0.167826 0.735293i
\(724\) 1.91039e7 1.35449
\(725\) 1.37054e7 + 1.83595e6i 0.968384 + 0.129723i
\(726\) −3.24185e6 −0.228272
\(727\) 1.18008e6 + 5.17026e6i 0.0828084 + 0.362807i 0.999307 0.0372313i \(-0.0118538\pi\)
−0.916498 + 0.400039i \(0.868997\pi\)
\(728\) −172541. 83091.1i −0.0120660 0.00581067i
\(729\) −2.15968e6 + 1.04005e6i −0.150512 + 0.0724828i
\(730\) 419327. + 1.83719e6i 0.0291236 + 0.127599i
\(731\) −993476. + 4.35270e6i −0.0687644 + 0.301277i
\(732\) −2.44662e6 1.17823e6i −0.168767 0.0812740i
\(733\) 2.91532e6 + 3.65570e6i 0.200413 + 0.251310i 0.871874 0.489729i \(-0.162904\pi\)
−0.671461 + 0.741040i \(0.734333\pi\)
\(734\) −739083. 926781.i −0.0506353 0.0634946i
\(735\) −299036. + 144008.i −0.0204176 + 0.00983262i
\(736\) 5.08522e6 6.37666e6i 0.346031 0.433909i
\(737\) −794189. −0.0538586
\(738\) −3.56665e6 + 4.47244e6i −0.241057 + 0.302276i
\(739\) 4.40572e6 1.93027e7i 0.296760 1.30019i −0.578160 0.815924i \(-0.696229\pi\)
0.874920 0.484268i \(-0.160914\pi\)
\(740\) −545247. + 2.38888e6i −0.0366028 + 0.160367i
\(741\) 38364.8 48107.9i 0.00256677 0.00321863i
\(742\) −7.55519e6 −0.503774
\(743\) 6.77535e6 8.49602e6i 0.450256 0.564604i −0.503958 0.863728i \(-0.668123\pi\)
0.954214 + 0.299125i \(0.0966947\pi\)
\(744\) 4.03462e6 1.94297e6i 0.267221 0.128687i
\(745\) −2.30379e6 2.88886e6i −0.152073 0.190694i
\(746\) 1.27591e6 + 1.59994e6i 0.0839409 + 0.105259i
\(747\) 1.96741e7 + 9.47454e6i 1.29001 + 0.621236i
\(748\) 227670. 997487.i 0.0148782 0.0651858i
\(749\) −2.87119e6 1.25795e7i −0.187007 0.819331i
\(750\) 963353. 463926.i 0.0625363 0.0301159i
\(751\) −1.58029e7 7.61030e6i −1.02244 0.492382i −0.153946 0.988079i \(-0.549198\pi\)
−0.868495 + 0.495698i \(0.834912\pi\)
\(752\) 115271. + 505037.i 0.00743322 + 0.0325671i
\(753\) −1.04296e7 −0.670314
\(754\) 52961.8 + 88347.0i 0.00339261 + 0.00565931i
\(755\) 2.63262e6 0.168082
\(756\) −2.67647e6 1.17264e7i −0.170317 0.746207i
\(757\) −3.58817e6 1.72797e6i −0.227580 0.109597i 0.316619 0.948553i \(-0.397452\pi\)
−0.544199 + 0.838956i \(0.683166\pi\)
\(758\) −5.99180e6 + 2.88550e6i −0.378778 + 0.182410i
\(759\) −114135. 500059.i −0.00719143 0.0315077i
\(760\) −271150. + 1.18798e6i −0.0170284 + 0.0746065i
\(761\) −1.86995e6 900519.i −0.117049 0.0563678i 0.374443 0.927250i \(-0.377834\pi\)
−0.491492 + 0.870882i \(0.663548\pi\)
\(762\) −1.13450e6 1.42261e6i −0.0707809 0.0887564i
\(763\) −9.13221e6 1.14514e7i −0.567891 0.712112i
\(764\) −6.94470e6 + 3.34439e6i −0.430448 + 0.207293i
\(765\) −826235. + 1.03607e6i −0.0510446 + 0.0640079i
\(766\) −8.84738e6 −0.544807
\(767\) −90672.7 + 113700.i −0.00556530 + 0.00697866i
\(768\) 999588. 4.37948e6i 0.0611530 0.267929i