Properties

Label 29.6.d.a.7.3
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 7.3
Character \(\chi\) \(=\) 29.7
Dual form 29.6.d.a.25.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.73099 - 7.58398i) q^{2} +(-20.8543 - 10.0429i) q^{3} +(-25.6894 + 12.3713i) q^{4} +(-4.14155 - 18.1453i) q^{5} +(-40.0664 + 175.543i) q^{6} +(89.9242 + 43.3052i) q^{7} +(-16.9122 - 21.2072i) q^{8} +(182.533 + 228.889i) q^{9} +O(q^{10})\) \(q+(-1.73099 - 7.58398i) q^{2} +(-20.8543 - 10.0429i) q^{3} +(-25.6894 + 12.3713i) q^{4} +(-4.14155 - 18.1453i) q^{5} +(-40.0664 + 175.543i) q^{6} +(89.9242 + 43.3052i) q^{7} +(-16.9122 - 21.2072i) q^{8} +(182.533 + 228.889i) q^{9} +(-130.445 + 62.8189i) q^{10} +(-167.194 + 209.655i) q^{11} +659.977 q^{12} +(122.130 - 153.146i) q^{13} +(172.768 - 756.944i) q^{14} +(-95.8624 + 420.001i) q^{15} +(-700.443 + 878.328i) q^{16} -2303.29 q^{17} +(1419.93 - 1780.53i) q^{18} +(-313.607 + 151.025i) q^{19} +(330.876 + 414.905i) q^{20} +(-1440.40 - 1806.20i) q^{21} +(1879.43 + 905.085i) q^{22} +(680.951 - 2983.44i) q^{23} +(139.710 + 612.108i) q^{24} +(2503.43 - 1205.59i) q^{25} +(-1372.86 - 661.134i) q^{26} +(-256.295 - 1122.90i) q^{27} -2845.84 q^{28} +(-4336.80 + 1305.12i) q^{29} +3351.21 q^{30} +(51.7407 + 226.691i) q^{31} +(7091.64 + 3415.15i) q^{32} +(5592.25 - 2693.09i) q^{33} +(3986.97 + 17468.1i) q^{34} +(413.361 - 1811.05i) q^{35} +(-7520.83 - 3621.84i) q^{36} +(-2979.13 - 3735.71i) q^{37} +(1688.22 + 2116.97i) q^{38} +(-4084.95 + 1967.21i) q^{39} +(-314.769 + 394.708i) q^{40} -12007.1 q^{41} +(-11204.9 + 14050.4i) q^{42} +(-3255.87 + 14264.9i) q^{43} +(1701.40 - 7454.31i) q^{44} +(3397.30 - 4260.08i) q^{45} -23805.1 q^{46} +(18547.0 - 23257.2i) q^{47} +(23428.2 - 11282.4i) q^{48} +(-4267.97 - 5351.86i) q^{49} +(-13476.6 - 16899.1i) q^{50} +(48033.4 + 23131.6i) q^{51} +(-1242.81 + 5445.13i) q^{52} +(-3113.96 - 13643.2i) q^{53} +(-8072.41 + 3887.47i) q^{54} +(4496.70 + 2165.49i) q^{55} +(-602.433 - 2639.43i) q^{56} +8056.78 q^{57} +(17405.0 + 30631.0i) q^{58} +7836.18 q^{59} +(-2733.33 - 11975.5i) q^{60} +(-48964.8 - 23580.2i) q^{61} +(1629.65 - 784.800i) q^{62} +(6502.05 + 28487.3i) q^{63} +(5625.34 - 24646.2i) q^{64} +(-3284.69 - 1581.82i) q^{65} +(-30104.5 - 37749.8i) q^{66} +(-17114.4 - 21460.8i) q^{67} +(59170.0 - 28494.8i) q^{68} +(-44163.1 + 55378.8i) q^{69} -14450.5 q^{70} +(19403.3 - 24330.9i) q^{71} +(1767.07 - 7742.04i) q^{72} +(685.703 - 3004.26i) q^{73} +(-23174.7 + 29060.1i) q^{74} -64314.7 q^{75} +(6187.98 - 7759.48i) q^{76} +(-24114.0 + 11612.7i) q^{77} +(21990.3 + 27575.0i) q^{78} +(30187.3 + 37853.7i) q^{79} +(18838.5 + 9072.13i) q^{80} +(9897.98 - 43365.9i) q^{81} +(20784.2 + 91061.4i) q^{82} +(-73649.7 + 35467.8i) q^{83} +(59348.0 + 28580.5i) q^{84} +(9539.18 + 41793.9i) q^{85} +113821. q^{86} +(103548. + 16336.6i) q^{87} +7273.81 q^{88} +(14164.2 + 62057.3i) q^{89} +(-38189.0 - 18390.9i) q^{90} +(17614.4 - 8482.66i) q^{91} +(19416.0 + 85067.0i) q^{92} +(1197.62 - 5247.09i) q^{93} +(-208487. - 100402. i) q^{94} +(4039.22 + 5065.02i) q^{95} +(-113593. - 142441. i) q^{96} +(108317. - 52162.7i) q^{97} +(-33200.6 + 41632.2i) q^{98} -78506.2 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.73099 7.58398i −0.305999 1.34067i −0.860909 0.508760i \(-0.830104\pi\)
0.554909 0.831911i \(-0.312753\pi\)
\(3\) −20.8543 10.0429i −1.33780 0.644252i −0.378229 0.925712i \(-0.623467\pi\)
−0.959573 + 0.281460i \(0.909181\pi\)
\(4\) −25.6894 + 12.3713i −0.802793 + 0.386605i
\(5\) −4.14155 18.1453i −0.0740863 0.324593i 0.924281 0.381713i \(-0.124666\pi\)
−0.998367 + 0.0571193i \(0.981808\pi\)
\(6\) −40.0664 + 175.543i −0.454363 + 1.99069i
\(7\) 89.9242 + 43.3052i 0.693636 + 0.334038i 0.747268 0.664523i \(-0.231365\pi\)
−0.0536315 + 0.998561i \(0.517080\pi\)
\(8\) −16.9122 21.2072i −0.0934275 0.117154i
\(9\) 182.533 + 228.889i 0.751165 + 0.941931i
\(10\) −130.445 + 62.8189i −0.412502 + 0.198651i
\(11\) −167.194 + 209.655i −0.416619 + 0.522424i −0.945214 0.326450i \(-0.894147\pi\)
0.528595 + 0.848874i \(0.322719\pi\)
\(12\) 659.977 1.32305
\(13\) 122.130 153.146i 0.200430 0.251331i −0.671451 0.741049i \(-0.734329\pi\)
0.871881 + 0.489718i \(0.162900\pi\)
\(14\) 172.768 756.944i 0.235582 1.03215i
\(15\) −95.8624 + 420.001i −0.110007 + 0.481972i
\(16\) −700.443 + 878.328i −0.684027 + 0.857742i
\(17\) −2303.29 −1.93297 −0.966486 0.256719i \(-0.917359\pi\)
−0.966486 + 0.256719i \(0.917359\pi\)
\(18\) 1419.93 1780.53i 1.03296 1.29530i
\(19\) −313.607 + 151.025i −0.199298 + 0.0959766i −0.530871 0.847453i \(-0.678135\pi\)
0.331573 + 0.943430i \(0.392421\pi\)
\(20\) 330.876 + 414.905i 0.184965 + 0.231939i
\(21\) −1440.40 1806.20i −0.712744 0.893752i
\(22\) 1879.43 + 905.085i 0.827883 + 0.398688i
\(23\) 680.951 2983.44i 0.268409 1.17598i −0.643456 0.765483i \(-0.722500\pi\)
0.911864 0.410492i \(-0.134643\pi\)
\(24\) 139.710 + 612.108i 0.0495107 + 0.216920i
\(25\) 2503.43 1205.59i 0.801097 0.385788i
\(26\) −1372.86 661.134i −0.398284 0.191803i
\(27\) −256.295 1122.90i −0.0676598 0.296437i
\(28\) −2845.84 −0.685987
\(29\) −4336.80 + 1305.12i −0.957578 + 0.288175i
\(30\) 3351.21 0.679828
\(31\) 51.7407 + 226.691i 0.00967003 + 0.0423672i 0.979533 0.201285i \(-0.0645117\pi\)
−0.969863 + 0.243652i \(0.921655\pi\)
\(32\) 7091.64 + 3415.15i 1.22425 + 0.589570i
\(33\) 5592.25 2693.09i 0.893927 0.430492i
\(34\) 3986.97 + 17468.1i 0.591488 + 2.59148i
\(35\) 413.361 1811.05i 0.0570374 0.249897i
\(36\) −7520.83 3621.84i −0.967185 0.465772i
\(37\) −2979.13 3735.71i −0.357755 0.448610i 0.570087 0.821584i \(-0.306909\pi\)
−0.927842 + 0.372974i \(0.878338\pi\)
\(38\) 1688.22 + 2116.97i 0.189658 + 0.237823i
\(39\) −4084.95 + 1967.21i −0.430056 + 0.207104i
\(40\) −314.769 + 394.708i −0.0311058 + 0.0390055i
\(41\) −12007.1 −1.11552 −0.557760 0.830002i \(-0.688339\pi\)
−0.557760 + 0.830002i \(0.688339\pi\)
\(42\) −11204.9 + 14050.4i −0.980128 + 1.22904i
\(43\) −3255.87 + 14264.9i −0.268532 + 1.17651i 0.643190 + 0.765707i \(0.277611\pi\)
−0.911722 + 0.410808i \(0.865247\pi\)
\(44\) 1701.40 7454.31i 0.132487 0.580465i
\(45\) 3397.30 4260.08i 0.250094 0.313607i
\(46\) −23805.1 −1.65873
\(47\) 18547.0 23257.2i 1.22470 1.53572i 0.465216 0.885197i \(-0.345977\pi\)
0.759483 0.650527i \(-0.225452\pi\)
\(48\) 23428.2 11282.4i 1.46769 0.706804i
\(49\) −4267.97 5351.86i −0.253940 0.318430i
\(50\) −13476.6 16899.1i −0.762349 0.955956i
\(51\) 48033.4 + 23131.6i 2.58593 + 1.24532i
\(52\) −1242.81 + 5445.13i −0.0637379 + 0.279254i
\(53\) −3113.96 13643.2i −0.152273 0.667152i −0.992221 0.124486i \(-0.960272\pi\)
0.839948 0.542667i \(-0.182585\pi\)
\(54\) −8072.41 + 3887.47i −0.376720 + 0.181419i
\(55\) 4496.70 + 2165.49i 0.200441 + 0.0965273i
\(56\) −602.433 2639.43i −0.0256707 0.112471i
\(57\) 8056.78 0.328454
\(58\) 17405.0 + 30631.0i 0.679366 + 1.19561i
\(59\) 7836.18 0.293072 0.146536 0.989205i \(-0.453188\pi\)
0.146536 + 0.989205i \(0.453188\pi\)
\(60\) −2733.33 11975.5i −0.0980198 0.429453i
\(61\) −48964.8 23580.2i −1.68484 0.811378i −0.996277 0.0862043i \(-0.972526\pi\)
−0.688566 0.725174i \(-0.741759\pi\)
\(62\) 1629.65 784.800i 0.0538414 0.0259286i
\(63\) 6502.05 + 28487.3i 0.206395 + 0.904275i
\(64\) 5625.34 24646.2i 0.171672 0.752143i
\(65\) −3284.69 1581.82i −0.0964296 0.0464381i
\(66\) −30104.5 37749.8i −0.850689 1.06673i
\(67\) −17114.4 21460.8i −0.465774 0.584062i 0.492357 0.870393i \(-0.336135\pi\)
−0.958131 + 0.286332i \(0.907564\pi\)
\(68\) 59170.0 28494.8i 1.55178 0.747296i
\(69\) −44163.1 + 55378.8i −1.11670 + 1.40030i
\(70\) −14450.5 −0.352483
\(71\) 19403.3 24330.9i 0.456803 0.572813i −0.499082 0.866555i \(-0.666329\pi\)
0.955885 + 0.293742i \(0.0949006\pi\)
\(72\) 1767.07 7742.04i 0.0401719 0.176005i
\(73\) 685.703 3004.26i 0.0150601 0.0659828i −0.966839 0.255385i \(-0.917798\pi\)
0.981900 + 0.189402i \(0.0606550\pi\)
\(74\) −23174.7 + 29060.1i −0.491966 + 0.616905i
\(75\) −64314.7 −1.32025
\(76\) 6187.98 7759.48i 0.122890 0.154099i
\(77\) −24114.0 + 11612.7i −0.463491 + 0.223206i
\(78\) 21990.3 + 27575.0i 0.409256 + 0.513190i
\(79\) 30187.3 + 37853.7i 0.544197 + 0.682402i 0.975549 0.219782i \(-0.0705347\pi\)
−0.431352 + 0.902184i \(0.641963\pi\)
\(80\) 18838.5 + 9072.13i 0.329094 + 0.158484i
\(81\) 9897.98 43365.9i 0.167623 0.734405i
\(82\) 20784.2 + 91061.4i 0.341349 + 1.49555i
\(83\) −73649.7 + 35467.8i −1.17348 + 0.565119i −0.916005 0.401166i \(-0.868605\pi\)
−0.257476 + 0.966285i \(0.582891\pi\)
\(84\) 59348.0 + 28580.5i 0.917714 + 0.441948i
\(85\) 9539.18 + 41793.9i 0.143207 + 0.627430i
\(86\) 113821. 1.65949
\(87\) 103548. + 16336.6i 1.46671 + 0.231399i
\(88\) 7273.81 0.100128
\(89\) 14164.2 + 62057.3i 0.189547 + 0.830458i 0.976856 + 0.213900i \(0.0686166\pi\)
−0.787309 + 0.616559i \(0.788526\pi\)
\(90\) −38189.0 18390.9i −0.496973 0.239329i
\(91\) 17614.4 8482.66i 0.222980 0.107381i
\(92\) 19416.0 + 85067.0i 0.239161 + 1.04783i
\(93\) 1197.62 5247.09i 0.0143585 0.0629088i
\(94\) −208487. 100402.i −2.43366 1.17199i
\(95\) 4039.22 + 5065.02i 0.0459186 + 0.0575801i
\(96\) −113593. 142441.i −1.25798 1.57746i
\(97\) 108317. 52162.7i 1.16887 0.562899i 0.254222 0.967146i \(-0.418181\pi\)
0.914650 + 0.404247i \(0.132466\pi\)
\(98\) −33200.6 + 41632.2i −0.349205 + 0.437889i
\(99\) −78506.2 −0.805037
\(100\) −49396.7 + 61941.5i −0.493967 + 0.619415i
\(101\) 30210.4 132360.i 0.294681 1.29108i −0.583248 0.812294i \(-0.698218\pi\)
0.877930 0.478790i \(-0.158924\pi\)
\(102\) 92284.5 404325.i 0.878270 3.84795i
\(103\) −4729.41 + 5930.49i −0.0439252 + 0.0550804i −0.803309 0.595563i \(-0.796929\pi\)
0.759384 + 0.650643i \(0.225501\pi\)
\(104\) −5313.28 −0.0481703
\(105\) −26808.6 + 33616.9i −0.237302 + 0.297567i
\(106\) −98079.1 + 47232.4i −0.847836 + 0.408296i
\(107\) 88448.8 + 110911.i 0.746848 + 0.936518i 0.999518 0.0310346i \(-0.00988020\pi\)
−0.252670 + 0.967552i \(0.581309\pi\)
\(108\) 20475.9 + 25675.9i 0.168921 + 0.211820i
\(109\) −61355.1 29547.1i −0.494635 0.238204i 0.169899 0.985461i \(-0.445656\pi\)
−0.664534 + 0.747258i \(0.731370\pi\)
\(110\) 8639.31 37851.3i 0.0680765 0.298263i
\(111\) 24610.3 + 107825.i 0.189587 + 0.830635i
\(112\) −101023. + 48650.1i −0.760984 + 0.366470i
\(113\) 152705. + 73539.0i 1.12501 + 0.541778i 0.901438 0.432909i \(-0.142513\pi\)
0.223576 + 0.974687i \(0.428227\pi\)
\(114\) −13946.2 61102.4i −0.100507 0.440348i
\(115\) −56955.7 −0.401599
\(116\) 95263.4 87179.8i 0.657327 0.601549i
\(117\) 57346.1 0.387293
\(118\) −13564.4 59429.4i −0.0896798 0.392913i
\(119\) −207121. 99744.4i −1.34078 0.645685i
\(120\) 10528.3 5070.16i 0.0667428 0.0321417i
\(121\) 19836.0 + 86907.0i 0.123166 + 0.539624i
\(122\) −94074.0 + 412165.i −0.572229 + 2.50710i
\(123\) 250399. + 120586.i 1.49235 + 0.718676i
\(124\) −4133.65 5183.44i −0.0241424 0.0302736i
\(125\) −68507.5 85905.7i −0.392160 0.491753i
\(126\) 204792. 98622.8i 1.14918 0.553415i
\(127\) 52255.6 65526.4i 0.287490 0.360502i −0.617024 0.786944i \(-0.711662\pi\)
0.904515 + 0.426443i \(0.140233\pi\)
\(128\) 55222.3 0.297913
\(129\) 211160. 264786.i 1.11721 1.40094i
\(130\) −6310.73 + 27649.1i −0.0327507 + 0.143490i
\(131\) 41859.7 183399.i 0.213117 0.933725i −0.749318 0.662211i \(-0.769618\pi\)
0.962434 0.271515i \(-0.0875245\pi\)
\(132\) −110344. + 138367.i −0.551207 + 0.691192i
\(133\) −34741.1 −0.170300
\(134\) −133133. + 166944.i −0.640508 + 0.803171i
\(135\) −19313.9 + 9301.11i −0.0912088 + 0.0439238i
\(136\) 38953.6 + 48846.3i 0.180593 + 0.226456i
\(137\) −164280. 206000.i −0.747794 0.937704i 0.251753 0.967792i \(-0.418993\pi\)
−0.999547 + 0.0300872i \(0.990421\pi\)
\(138\) 496438. + 239072.i 2.21905 + 1.06864i
\(139\) −13424.7 + 58817.3i −0.0589341 + 0.258207i −0.995809 0.0914576i \(-0.970847\pi\)
0.936875 + 0.349665i \(0.113705\pi\)
\(140\) 11786.2 + 51638.7i 0.0508222 + 0.222667i
\(141\) −620354. + 298747.i −2.62780 + 1.26548i
\(142\) −218112. 105037.i −0.907735 0.437142i
\(143\) 11688.4 + 51210.1i 0.0477985 + 0.209419i
\(144\) −328894. −1.32175
\(145\) 41643.0 + 73287.3i 0.164483 + 0.289473i
\(146\) −23971.2 −0.0930696
\(147\) 35257.2 + 154472.i 0.134572 + 0.589598i
\(148\) 122748. + 59112.2i 0.460637 + 0.221831i
\(149\) 19850.3 9559.41i 0.0732490 0.0352749i −0.396901 0.917862i \(-0.629914\pi\)
0.470150 + 0.882587i \(0.344200\pi\)
\(150\) 111328. + 487762.i 0.403997 + 1.77003i
\(151\) 37889.2 166004.i 0.135230 0.592482i −0.861215 0.508240i \(-0.830296\pi\)
0.996445 0.0842414i \(-0.0268467\pi\)
\(152\) 8506.61 + 4096.57i 0.0298640 + 0.0143817i
\(153\) −420426. 527198.i −1.45198 1.82073i
\(154\) 129811. + 162778.i 0.441073 + 0.553088i
\(155\) 3899.09 1877.70i 0.0130357 0.00627765i
\(156\) 80602.8 101073.i 0.265179 0.332524i
\(157\) 137980. 0.446754 0.223377 0.974732i \(-0.428292\pi\)
0.223377 + 0.974732i \(0.428292\pi\)
\(158\) 234827. 294464.i 0.748352 0.938403i
\(159\) −72077.3 + 315791.i −0.226103 + 0.990620i
\(160\) 32598.7 142824.i 0.100670 0.441064i
\(161\) 190433. 238795.i 0.578998 0.726040i
\(162\) −346019. −1.03589
\(163\) 248450. 311546.i 0.732435 0.918445i −0.266535 0.963825i \(-0.585879\pi\)
0.998970 + 0.0453807i \(0.0144501\pi\)
\(164\) 308454. 148544.i 0.895532 0.431266i
\(165\) −72027.5 90319.6i −0.205963 0.258269i
\(166\) 396475. + 497163.i 1.11672 + 1.40033i
\(167\) −493855. 237828.i −1.37028 0.659891i −0.403374 0.915035i \(-0.632163\pi\)
−0.966903 + 0.255144i \(0.917877\pi\)
\(168\) −13944.2 + 61093.6i −0.0381172 + 0.167002i
\(169\) 74082.5 + 324577.i 0.199526 + 0.874179i
\(170\) 300451. 144690.i 0.797356 0.383986i
\(171\) −91811.7 44214.2i −0.240109 0.115630i
\(172\) −92834.8 406736.i −0.239271 1.04831i
\(173\) −575261. −1.46133 −0.730667 0.682734i \(-0.760791\pi\)
−0.730667 + 0.682734i \(0.760791\pi\)
\(174\) −55344.8 813584.i −0.138581 2.03718i
\(175\) 277327. 0.684537
\(176\) −67035.7 293703.i −0.163126 0.714704i
\(177\) −163418. 78697.8i −0.392072 0.188812i
\(178\) 446123. 214842.i 1.05537 0.508239i
\(179\) 106378. + 466074.i 0.248154 + 1.08723i 0.933376 + 0.358899i \(0.116848\pi\)
−0.685223 + 0.728334i \(0.740295\pi\)
\(180\) −34571.6 + 151468.i −0.0795312 + 0.348449i
\(181\) −184298. 88753.5i −0.418143 0.201367i 0.212968 0.977059i \(-0.431687\pi\)
−0.631112 + 0.775692i \(0.717401\pi\)
\(182\) −94822.8 118904.i −0.212195 0.266084i
\(183\) 784312. + 983497.i 1.73126 + 2.17093i
\(184\) −74786.9 + 36015.5i −0.162847 + 0.0784232i
\(185\) −55447.4 + 69528.9i −0.119111 + 0.149361i
\(186\) −41866.9 −0.0887337
\(187\) 385096. 482895.i 0.805313 1.00983i
\(188\) −188738. + 826915.i −0.389462 + 1.70634i
\(189\) 25580.4 112075.i 0.0520898 0.228220i
\(190\) 31421.1 39400.9i 0.0631449 0.0791812i
\(191\) −246603. −0.489120 −0.244560 0.969634i \(-0.578643\pi\)
−0.244560 + 0.969634i \(0.578643\pi\)
\(192\) −364832. + 457484.i −0.714232 + 0.895619i
\(193\) 527324. 253946.i 1.01902 0.490736i 0.151672 0.988431i \(-0.451534\pi\)
0.867352 + 0.497695i \(0.165820\pi\)
\(194\) −583097. 731180.i −1.11234 1.39483i
\(195\) 52613.7 + 65975.5i 0.0990860 + 0.124250i
\(196\) 175851. + 84685.4i 0.326968 + 0.157459i
\(197\) 139516. 611258.i 0.256128 1.12217i −0.669224 0.743061i \(-0.733373\pi\)
0.925352 0.379110i \(-0.123770\pi\)
\(198\) 135894. + 595389.i 0.246341 + 1.07929i
\(199\) −177195. + 85332.4i −0.317189 + 0.152750i −0.585703 0.810526i \(-0.699182\pi\)
0.268514 + 0.963276i \(0.413467\pi\)
\(200\) −67905.6 32701.6i −0.120041 0.0578088i
\(201\) 141380. + 619427.i 0.246830 + 1.08143i
\(202\) −1.05611e6 −1.82109
\(203\) −446502. 70443.7i −0.760472 0.119978i
\(204\) −1.52012e6 −2.55742
\(205\) 49727.9 + 217872.i 0.0826448 + 0.362091i
\(206\) 53163.3 + 25602.1i 0.0872858 + 0.0420346i
\(207\) 807174. 388715.i 1.30931 0.630529i
\(208\) 48967.3 + 214540.i 0.0784780 + 0.343835i
\(209\) 20770.1 90999.7i 0.0328907 0.144103i
\(210\) 301355. + 145125.i 0.471553 + 0.227088i
\(211\) 260033. + 326071.i 0.402090 + 0.504204i 0.941116 0.338085i \(-0.109779\pi\)
−0.539026 + 0.842289i \(0.681208\pi\)
\(212\) 248780. + 311960.i 0.380168 + 0.476716i
\(213\) −648994. + 312539.i −0.980148 + 0.472014i
\(214\) 688044. 862780.i 1.02703 1.28785i
\(215\) 272325. 0.401783
\(216\) −19479.1 + 24426.0i −0.0284076 + 0.0356220i
\(217\) −5164.15 + 22625.6i −0.00744474 + 0.0326175i
\(218\) −117879. + 516462.i −0.167995 + 0.736032i
\(219\) −44471.3 + 55765.3i −0.0626570 + 0.0785694i
\(220\) −142307. −0.198231
\(221\) −281300. + 352739.i −0.387426 + 0.485817i
\(222\) 775139. 373287.i 1.05559 0.508348i
\(223\) 139881. + 175406.i 0.188364 + 0.236201i 0.867042 0.498235i \(-0.166018\pi\)
−0.678678 + 0.734436i \(0.737447\pi\)
\(224\) 489816. + 614210.i 0.652249 + 0.817894i
\(225\) 732904. + 352948.i 0.965142 + 0.464788i
\(226\) 293386. 1.28541e6i 0.382092 1.67406i
\(227\) 83291.8 + 364925.i 0.107285 + 0.470045i 0.999818 + 0.0190640i \(0.00606861\pi\)
−0.892534 + 0.450981i \(0.851074\pi\)
\(228\) −206974. + 99673.2i −0.263680 + 0.126982i
\(229\) −507232. 244270.i −0.639172 0.307809i 0.0860846 0.996288i \(-0.472564\pi\)
−0.725256 + 0.688479i \(0.758279\pi\)
\(230\) 98590.0 + 431951.i 0.122889 + 0.538412i
\(231\) 619504. 0.763860
\(232\) 101023. + 69898.9i 0.123225 + 0.0852610i
\(233\) −719097. −0.867757 −0.433878 0.900971i \(-0.642855\pi\)
−0.433878 + 0.900971i \(0.642855\pi\)
\(234\) −99265.8 434912.i −0.118511 0.519232i
\(235\) −498823. 240221.i −0.589219 0.283753i
\(236\) −201306. + 96944.1i −0.235276 + 0.113303i
\(237\) −249374. 1.09258e6i −0.288390 1.26352i
\(238\) −397933. + 1.74346e6i −0.455374 + 1.99512i
\(239\) 1.18181e6 + 569128.i 1.33829 + 0.644488i 0.959687 0.281070i \(-0.0906893\pi\)
0.378606 + 0.925558i \(0.376404\pi\)
\(240\) −301752. 378385.i −0.338160 0.424039i
\(241\) −676685. 848537.i −0.750489 0.941083i 0.249136 0.968468i \(-0.419853\pi\)
−0.999625 + 0.0273854i \(0.991282\pi\)
\(242\) 624765. 300871.i 0.685770 0.330249i
\(243\) −816438. + 1.02378e6i −0.886967 + 1.11222i
\(244\) 1.54959e6 1.66626
\(245\) −79435.2 + 99608.6i −0.0845469 + 0.106019i
\(246\) 481081. 2.10775e6i 0.506851 2.22066i
\(247\) −15171.9 + 66472.3i −0.0158233 + 0.0693263i
\(248\) 3932.43 4931.11i 0.00406005 0.00509115i
\(249\) 1.89211e6 1.93396
\(250\) −532921. + 668261.i −0.539278 + 0.676233i
\(251\) −142.117 + 68.4399i −0.000142384 + 6.85685e-5i −0.433955 0.900935i \(-0.642882\pi\)
0.433813 + 0.901003i \(0.357168\pi\)
\(252\) −519460. 651383.i −0.515289 0.646152i
\(253\) 511642. + 641579.i 0.502533 + 0.630157i
\(254\) −587405. 282879.i −0.571286 0.275117i
\(255\) 220799. 967382.i 0.212640 0.931638i
\(256\) −275600. 1.20748e6i −0.262833 1.15155i
\(257\) −1.50505e6 + 724794.i −1.42141 + 0.684513i −0.977378 0.211500i \(-0.932165\pi\)
−0.444028 + 0.896013i \(0.646451\pi\)
\(258\) −2.37364e6 1.14309e6i −2.22007 1.06913i
\(259\) −106120. 464943.i −0.0982989 0.430676i
\(260\) 103951. 0.0953662
\(261\) −1.09034e6 754418.i −0.990740 0.685505i
\(262\) −1.46335e6 −1.31703
\(263\) −28887.4 126564.i −0.0257525 0.112829i 0.960418 0.278563i \(-0.0898580\pi\)
−0.986171 + 0.165734i \(0.947001\pi\)
\(264\) −151690. 73050.1i −0.133951 0.0645076i
\(265\) −234663. + 113008.i −0.205272 + 0.0988537i
\(266\) 60136.5 + 263475.i 0.0521116 + 0.228316i
\(267\) 327851. 1.43641e6i 0.281448 1.23311i
\(268\) 705157. + 339586.i 0.599720 + 0.288810i
\(269\) 1.24813e6 + 1.56511e6i 1.05167 + 1.31875i 0.945933 + 0.324361i \(0.105149\pi\)
0.105738 + 0.994394i \(0.466279\pi\)
\(270\) 103972. + 130376.i 0.0867972 + 0.108840i
\(271\) −328378. + 158139.i −0.271613 + 0.130802i −0.564733 0.825274i \(-0.691021\pi\)
0.293120 + 0.956076i \(0.405307\pi\)
\(272\) 1.61332e6 2.02304e6i 1.32220 1.65799i
\(273\) −452527. −0.367483
\(274\) −1.27793e6 + 1.60248e6i −1.02833 + 1.28948i
\(275\) −165801. + 726423.i −0.132207 + 0.579239i
\(276\) 449412. 1.96900e6i 0.355118 1.55587i
\(277\) 145587. 182560.i 0.114004 0.142957i −0.721555 0.692357i \(-0.756572\pi\)
0.835559 + 0.549400i \(0.185144\pi\)
\(278\) 469307. 0.364205
\(279\) −42442.7 + 53221.4i −0.0326432 + 0.0409332i
\(280\) −45398.3 + 21862.7i −0.0346054 + 0.0166651i
\(281\) 1.24842e6 + 1.56547e6i 0.943180 + 1.18271i 0.983019 + 0.183504i \(0.0587439\pi\)
−0.0398395 + 0.999206i \(0.512685\pi\)
\(282\) 3.33952e6 + 4.18762e6i 2.50070 + 3.13578i
\(283\) −1.05103e6 506148.i −0.780096 0.375675i 0.00106848 0.999999i \(-0.499660\pi\)
−0.781165 + 0.624325i \(0.785374\pi\)
\(284\) −197451. + 865091.i −0.145266 + 0.636452i
\(285\) −33367.6 146193.i −0.0243339 0.106614i
\(286\) 368144. 177289.i 0.266135 0.128164i
\(287\) −1.07973e6 519969.i −0.773766 0.372626i
\(288\) 512767. + 2.24658e6i 0.364283 + 1.59603i
\(289\) 3.88527e6 2.73638
\(290\) 483726. 442679.i 0.337757 0.309096i
\(291\) −2.78274e6 −1.92637
\(292\) 19551.5 + 85660.7i 0.0134191 + 0.0587928i
\(293\) 995904. + 479602.i 0.677717 + 0.326371i 0.740885 0.671631i \(-0.234406\pi\)
−0.0631681 + 0.998003i \(0.520120\pi\)
\(294\) 1.11048e6 534780.i 0.749278 0.360833i
\(295\) −32453.9 142190.i −0.0217126 0.0951292i
\(296\) −28840.4 + 126358.i −0.0191325 + 0.0838251i
\(297\) 278273. + 134009.i 0.183054 + 0.0881542i
\(298\) −106859. 133997.i −0.0697061 0.0874087i
\(299\) −373737. 468652.i −0.241762 0.303160i
\(300\) 1.65221e6 795660.i 1.05989 0.510416i
\(301\) −910526. + 1.14176e6i −0.579264 + 0.726374i
\(302\) −1.32455e6 −0.835703
\(303\) −1.95930e6 + 2.45688e6i −1.22601 + 1.53737i
\(304\) 87014.3 381234.i 0.0540016 0.236596i
\(305\) −225080. + 986141.i −0.138544 + 0.607001i
\(306\) −3.27050e6 + 4.10108e6i −1.99669 + 2.50377i
\(307\) −722572. −0.437558 −0.218779 0.975774i \(-0.570207\pi\)
−0.218779 + 0.975774i \(0.570207\pi\)
\(308\) 475808. 596644.i 0.285795 0.358376i
\(309\) 158188. 76179.1i 0.0942489 0.0453879i
\(310\) −20989.7 26320.3i −0.0124052 0.0155556i
\(311\) −2.06126e6 2.58474e6i −1.20846 1.51536i −0.797051 0.603912i \(-0.793608\pi\)
−0.411410 0.911450i \(-0.634964\pi\)
\(312\) 110805. + 53360.7i 0.0644423 + 0.0310338i
\(313\) 517485. 2.26725e6i 0.298563 1.30809i −0.573704 0.819063i \(-0.694494\pi\)
0.872267 0.489029i \(-0.162649\pi\)
\(314\) −238843. 1.04644e6i −0.136706 0.598950i
\(315\) 489983. 235963.i 0.278231 0.133989i
\(316\) −1.24379e6 598979.i −0.700697 0.337438i
\(317\) 222730. + 975845.i 0.124489 + 0.545422i 0.998254 + 0.0590732i \(0.0188145\pi\)
−0.873765 + 0.486349i \(0.838328\pi\)
\(318\) 2.51972e6 1.39728
\(319\) 451461. 1.12744e6i 0.248396 0.620321i
\(320\) −470511. −0.256859
\(321\) −730665. 3.20125e6i −0.395782 1.73403i
\(322\) −2.14065e6 1.03088e6i −1.15055 0.554077i
\(323\) 722327. 347854.i 0.385237 0.185520i
\(324\) 282222. + 1.23649e6i 0.149358 + 0.654379i
\(325\) 121112. 530627.i 0.0636033 0.278664i
\(326\) −2.79282e6 1.34495e6i −1.45546 0.700911i
\(327\) 982779. + 1.23237e6i 0.508260 + 0.637338i
\(328\) 203066. + 254637.i 0.104220 + 0.130688i
\(329\) 2.67499e6 1.28821e6i 1.36249 0.656138i
\(330\) −560303. + 702598.i −0.283229 + 0.355158i
\(331\) 689300. 0.345811 0.172905 0.984938i \(-0.444685\pi\)
0.172905 + 0.984938i \(0.444685\pi\)
\(332\) 1.45323e6 1.82229e6i 0.723584 0.907346i
\(333\) 311274. 1.36378e6i 0.153827 0.673960i
\(334\) −948823. + 4.15707e6i −0.465392 + 2.03902i
\(335\) −318533. + 399427.i −0.155075 + 0.194458i
\(336\) 2.59535e6 1.25414
\(337\) −1.79306e6 + 2.24842e6i −0.860042 + 1.07846i 0.136100 + 0.990695i \(0.456543\pi\)
−0.996141 + 0.0877630i \(0.972028\pi\)
\(338\) 2.33335e6 1.12368e6i 1.11093 0.534996i
\(339\) −2.44601e6 3.06720e6i −1.15600 1.44958i
\(340\) −762102. 955646.i −0.357533 0.448332i
\(341\) −56177.5 27053.7i −0.0261623 0.0125991i
\(342\) −176394. + 772833.i −0.0815490 + 0.357289i
\(343\) −525304. 2.30151e6i −0.241088 1.05628i
\(344\) 357583. 172203.i 0.162922 0.0784592i
\(345\) 1.18777e6 + 572000.i 0.537260 + 0.258731i
\(346\) 995772. + 4.36276e6i 0.447167 + 1.95917i
\(347\) 158807. 0.0708019 0.0354010 0.999373i \(-0.488729\pi\)
0.0354010 + 0.999373i \(0.488729\pi\)
\(348\) −2.86219e6 + 861352.i −1.26692 + 0.381270i
\(349\) 2.21274e6 0.972447 0.486223 0.873835i \(-0.338374\pi\)
0.486223 + 0.873835i \(0.338374\pi\)
\(350\) −480051. 2.10324e6i −0.209468 0.917739i
\(351\) −203269. 97889.1i −0.0880649 0.0424098i
\(352\) −1.90168e6 + 915802.i −0.818053 + 0.393954i
\(353\) 61409.8 + 269054.i 0.0262301 + 0.114922i 0.986348 0.164673i \(-0.0526570\pi\)
−0.960118 + 0.279595i \(0.909800\pi\)
\(354\) −313968. + 1.37558e6i −0.133161 + 0.583416i
\(355\) −521852. 251311.i −0.219774 0.105838i
\(356\) −1.13160e6 1.41898e6i −0.473226 0.593406i
\(357\) 3.31764e6 + 4.16019e6i 1.37771 + 1.72760i
\(358\) 3.35055e6 1.61354e6i 1.38169 0.665385i
\(359\) 839386. 1.05256e6i 0.343737 0.431032i −0.579672 0.814850i \(-0.696819\pi\)
0.923409 + 0.383818i \(0.125391\pi\)
\(360\) −147800. −0.0601061
\(361\) −1.46828e6 + 1.84117e6i −0.592982 + 0.743576i
\(362\) −354085. + 1.55135e6i −0.142016 + 0.622211i
\(363\) 459133. 2.01159e6i 0.182882 0.801260i
\(364\) −347562. + 435829.i −0.137492 + 0.172410i
\(365\) −57353.2 −0.0225333
\(366\) 6.10118e6 7.65063e6i 2.38073 2.98535i
\(367\) 3.54215e6 1.70581e6i 1.37278 0.661097i 0.405334 0.914169i \(-0.367155\pi\)
0.967447 + 0.253072i \(0.0814410\pi\)
\(368\) 2.14347e6 + 2.68783e6i 0.825085 + 1.03462i
\(369\) −2.19169e6 2.74829e6i −0.837940 1.05074i
\(370\) 623285. + 300158.i 0.236691 + 0.113984i
\(371\) 310799. 1.36170e6i 0.117232 0.513626i
\(372\) 34147.7 + 149611.i 0.0127939 + 0.0560538i
\(373\) −1.83421e6 + 883308.i −0.682616 + 0.328730i −0.742854 0.669454i \(-0.766528\pi\)
0.0602381 + 0.998184i \(0.480814\pi\)
\(374\) −4.32886e6 2.08467e6i −1.60028 0.770652i
\(375\) 565933. + 2.47951e6i 0.207820 + 0.910518i
\(376\) −806892. −0.294338
\(377\) −329777. + 823556.i −0.119500 + 0.298428i
\(378\) −894253. −0.321908
\(379\) −337705. 1.47958e6i −0.120765 0.529104i −0.998730 0.0503802i \(-0.983957\pi\)
0.877966 0.478724i \(-0.158900\pi\)
\(380\) −166426. 80146.6i −0.0591238 0.0284725i
\(381\) −1.74783e6 + 841709.i −0.616859 + 0.297064i
\(382\) 426868. + 1.87023e6i 0.149670 + 0.655748i
\(383\) 397586. 1.74194e6i 0.138495 0.606787i −0.857271 0.514865i \(-0.827842\pi\)
0.995766 0.0919216i \(-0.0293009\pi\)
\(384\) −1.15162e6 554591.i −0.398549 0.191931i
\(385\) 310585. + 389461.i 0.106789 + 0.133910i
\(386\) −2.83871e6 3.55964e6i −0.969736 1.21601i
\(387\) −3.85939e6 + 1.85858e6i −1.30991 + 0.630818i
\(388\) −2.13727e6 + 2.68005e6i −0.720743 + 0.903783i
\(389\) 3.72946e6 1.24960 0.624801 0.780784i \(-0.285180\pi\)
0.624801 + 0.780784i \(0.285180\pi\)
\(390\) 409283. 513224.i 0.136258 0.170862i
\(391\) −1.56843e6 + 6.87172e6i −0.518826 + 2.27313i
\(392\) −41317.4 + 181023.i −0.0135806 + 0.0595004i
\(393\) −2.71481e6 + 3.40427e6i −0.886662 + 1.11184i
\(394\) −4.87727e6 −1.58284
\(395\) 561844. 704531.i 0.181185 0.227199i
\(396\) 2.01677e6 971227.i 0.646278 0.311231i
\(397\) −2.02583e6 2.54031e6i −0.645100 0.808929i 0.346531 0.938039i \(-0.387360\pi\)
−0.991630 + 0.129109i \(0.958788\pi\)
\(398\) 953882. + 1.19613e6i 0.301847 + 0.378504i
\(399\) 724500. + 348901.i 0.227827 + 0.109716i
\(400\) −694608. + 3.04328e6i −0.217065 + 0.951024i
\(401\) 554925. + 2.43129e6i 0.172335 + 0.755049i 0.985033 + 0.172364i \(0.0551406\pi\)
−0.812698 + 0.582685i \(0.802002\pi\)
\(402\) 4.45299e6 2.14445e6i 1.37432 0.661836i
\(403\) 41035.8 + 19761.8i 0.0125864 + 0.00606127i
\(404\) 861390. + 3.77400e6i 0.262571 + 1.15040i
\(405\) −827881. −0.250802
\(406\) 238648. + 3.50820e6i 0.0718527 + 1.05626i
\(407\) 1.28130e6 0.383412
\(408\) −321792. 1.40986e6i −0.0957027 0.419301i
\(409\) 2.16635e6 + 1.04326e6i 0.640355 + 0.308379i 0.725740 0.687969i \(-0.241498\pi\)
−0.0853847 + 0.996348i \(0.527212\pi\)
\(410\) 1.56626e6 754271.i 0.460155 0.221599i
\(411\) 1.35710e6 + 5.94582e6i 0.396283 + 1.73623i
\(412\) 48127.3 210860.i 0.0139685 0.0611999i
\(413\) 704662. + 339347.i 0.203285 + 0.0978970i
\(414\) −4.34522e6 5.44873e6i −1.24598 1.56241i
\(415\) 948600. + 1.18951e6i 0.270373 + 0.339037i
\(416\) 1.38912e6 668963.i 0.393555 0.189526i
\(417\) 870658. 1.09177e6i 0.245193 0.307462i
\(418\) −726093. −0.203260
\(419\) −3.32628e6 + 4.17102e6i −0.925601 + 1.16067i 0.0611021 + 0.998132i \(0.480538\pi\)
−0.986703 + 0.162535i \(0.948033\pi\)
\(420\) 272809. 1.19526e6i 0.0754633 0.330626i
\(421\) 1.09649e6 4.80405e6i 0.301509 1.32100i −0.566340 0.824172i \(-0.691641\pi\)
0.867849 0.496827i \(-0.165502\pi\)
\(422\) 2.02280e6 2.53651e6i 0.552933 0.693356i
\(423\) 8.70877e6 2.36650
\(424\) −236669. + 296774.i −0.0639334 + 0.0801699i
\(425\) −5.76611e6 + 2.77681e6i −1.54850 + 0.745717i
\(426\) 3.49369e6 + 4.38095e6i 0.932740 + 1.16962i
\(427\) −3.38198e6 4.24087e6i −0.897638 1.12560i
\(428\) −3.64431e6 1.75501e6i −0.961626 0.463095i
\(429\) 270545. 1.18534e6i 0.0709735 0.310955i
\(430\) −471394. 2.06531e6i −0.122945 0.538659i
\(431\) 1.82512e6 878933.i 0.473259 0.227910i −0.182022 0.983294i \(-0.558264\pi\)
0.655281 + 0.755385i \(0.272550\pi\)
\(432\) 1.16580e6 + 561418.i 0.300547 + 0.144736i
\(433\) −1.00013e6 4.38184e6i −0.256351 1.12315i −0.925119 0.379676i \(-0.876035\pi\)
0.668769 0.743471i \(-0.266822\pi\)
\(434\) 180531. 0.0460075
\(435\) −132417. 1.94657e6i −0.0335522 0.493227i
\(436\) 1.94171e6 0.489180
\(437\) 237024. + 1.03847e6i 0.0593729 + 0.260130i
\(438\) 499902. + 240740.i 0.124509 + 0.0599602i
\(439\) −559991. + 269677.i −0.138682 + 0.0667857i −0.501938 0.864904i \(-0.667379\pi\)
0.363256 + 0.931689i \(0.381665\pi\)
\(440\) −30124.9 131986.i −0.00741811 0.0325009i
\(441\) 445938. 1.95378e6i 0.109189 0.478388i
\(442\) 3.16209e6 + 1.52278e6i 0.769872 + 0.370751i
\(443\) −1.69119e6 2.12069e6i −0.409434 0.513414i 0.533769 0.845630i \(-0.320775\pi\)
−0.943203 + 0.332216i \(0.892204\pi\)
\(444\) −1.96616e6 2.46548e6i −0.473327 0.593533i
\(445\) 1.06739e6 514027.i 0.255518 0.123051i
\(446\) 1.08814e6 1.36448e6i 0.259028 0.324811i
\(447\) −509968. −0.120719
\(448\) 1.57316e6 1.97269e6i 0.370322 0.464369i
\(449\) −1.24043e6 + 5.43470e6i −0.290374 + 1.27221i 0.593632 + 0.804737i \(0.297694\pi\)
−0.884006 + 0.467476i \(0.845164\pi\)
\(450\) 1.40810e6 6.16928e6i 0.327795 1.43616i
\(451\) 2.00751e6 2.51734e6i 0.464747 0.582775i
\(452\) −4.83268e6 −1.11261
\(453\) −2.45731e6 + 3.08137e6i −0.562618 + 0.705501i
\(454\) 2.62341e6 1.26337e6i 0.597346 0.287667i
\(455\) −226872. 284488.i −0.0513750 0.0644222i
\(456\) −136258. 170862.i −0.0306866 0.0384798i
\(457\) −185783. 89468.4i −0.0416117 0.0200391i 0.412962 0.910748i \(-0.364494\pi\)
−0.454574 + 0.890709i \(0.650208\pi\)
\(458\) −974522. + 4.26966e6i −0.217084 + 0.951108i
\(459\) 590321. + 2.58636e6i 0.130784 + 0.573004i
\(460\) 1.46316e6 704619.i 0.322401 0.155260i
\(461\) 2.93077e6 + 1.41139e6i 0.642288 + 0.309309i 0.726529 0.687136i \(-0.241132\pi\)
−0.0842411 + 0.996445i \(0.526847\pi\)
\(462\) −1.07236e6 4.69830e6i −0.233741 1.02408i
\(463\) −2.57156e6 −0.557499 −0.278750 0.960364i \(-0.589920\pi\)
−0.278750 + 0.960364i \(0.589920\pi\)
\(464\) 1.89135e6 4.72329e6i 0.407828 1.01847i
\(465\) −100170. −0.0214836
\(466\) 1.24475e6 + 5.45362e6i 0.265533 + 1.16338i
\(467\) 874648. + 421208.i 0.185584 + 0.0893727i 0.524369 0.851491i \(-0.324301\pi\)
−0.338784 + 0.940864i \(0.610016\pi\)
\(468\) −1.47319e6 + 709449.i −0.310916 + 0.149729i
\(469\) −609636. 2.67099e6i −0.127979 0.560712i
\(470\) −958368. + 4.19888e6i −0.200119 + 0.876777i
\(471\) −2.87748e6 1.38572e6i −0.597668 0.287822i
\(472\) −132527. 166183.i −0.0273810 0.0343347i
\(473\) −2.44634e6 3.06761e6i −0.502764 0.630446i
\(474\) −7.85442e6 + 3.78249e6i −1.60571 + 0.773271i
\(475\) −603019. + 756161.i −0.122630 + 0.153773i
\(476\) 6.55479e6 1.32599
\(477\) 2.55437e6 3.20308e6i 0.514029 0.644572i
\(478\) 2.27055e6 9.94794e6i 0.454529 1.99142i
\(479\) −1.91144e6 + 8.37456e6i −0.380646 + 1.66772i 0.314811 + 0.949154i \(0.398059\pi\)
−0.695458 + 0.718567i \(0.744798\pi\)
\(480\) −2.11419e6 + 2.65111e6i −0.418833 + 0.525200i
\(481\) −935949. −0.184455
\(482\) −5.26394e6 + 6.60078e6i −1.03203 + 1.29413i
\(483\) −6.36953e6 + 3.06740e6i −1.24234 + 0.598278i
\(484\) −1.58473e6 1.98719e6i −0.307498 0.385590i
\(485\) −1.39511e6 1.74941e6i −0.269311 0.337705i
\(486\) 9.17758e6 + 4.41969e6i 1.76253 + 0.848791i
\(487\) 1.86626e6 8.17663e6i 0.356575 1.56226i −0.405086 0.914279i \(-0.632758\pi\)
0.761660 0.647976i \(-0.224384\pi\)
\(488\) 328032. + 1.43720e6i 0.0623543 + 0.273192i
\(489\) −8.31006e6 + 4.00191e6i −1.57156 + 0.756825i
\(490\) 892931. + 430013.i 0.168007 + 0.0809080i
\(491\) −15053.3 65952.7i −0.00281791 0.0123461i 0.973499 0.228690i \(-0.0734441\pi\)
−0.976317 + 0.216343i \(0.930587\pi\)
\(492\) −7.92440e6 −1.47589
\(493\) 9.98888e6 3.00607e6i 1.85097 0.557035i
\(494\) 530387. 0.0977856
\(495\) 325137. + 1.42452e6i 0.0596422 + 0.261310i
\(496\) −235350. 113339.i −0.0429547 0.0206859i
\(497\) 2.79848e6 1.34768e6i 0.508196 0.244734i
\(498\) −3.27523e6 1.43497e7i −0.591792 2.59281i
\(499\) −67126.2 + 294099.i −0.0120681 + 0.0528740i −0.980603 0.196002i \(-0.937204\pi\)
0.968535 + 0.248876i \(0.0800612\pi\)
\(500\) 2.82268e6 + 1.35933e6i 0.504937 + 0.243165i
\(501\) 7.91051e6 + 9.91947e6i 1.40802 + 1.76561i
\(502\) 765.050 + 959.342i 0.000135497 + 0.000169908i
\(503\) 4.62154e6 2.22562e6i 0.814454 0.392221i 0.0201925 0.999796i \(-0.493572\pi\)
0.794262 + 0.607576i \(0.207858\pi\)
\(504\) 494173. 619674.i 0.0866569 0.108664i
\(505\) −2.52684e6 −0.440909
\(506\) 3.98007e6 4.99085e6i 0.691058 0.866559i
\(507\) 1.71475e6 7.51281e6i 0.296265 1.29802i
\(508\) −531763. + 2.32980e6i −0.0914236 + 0.400553i
\(509\) 3.52407e6 4.41904e6i 0.602906 0.756020i −0.382922 0.923781i \(-0.625082\pi\)
0.985828 + 0.167761i \(0.0536536\pi\)
\(510\) −7.71880e6 −1.31409
\(511\) 191762. 240461.i 0.0324870 0.0407374i
\(512\) −7.08835e6 + 3.41357e6i −1.19501 + 0.575485i
\(513\) 249962. + 313443.i 0.0419354 + 0.0525854i
\(514\) 8.10205e6 + 1.01597e7i 1.35266 + 1.69618i
\(515\) 127198. + 61255.2i 0.0211330 + 0.0101771i
\(516\) −2.14880e6 + 9.41451e6i −0.355281 + 1.55659i
\(517\) 1.77504e6 + 7.77694e6i 0.292066 + 1.27962i
\(518\) −3.34242e6 + 1.60963e6i −0.547315 + 0.263573i
\(519\) 1.19966e7 + 5.77728e6i 1.95498 + 0.941467i
\(520\) 22005.2 + 96411.1i 0.00356876 + 0.0156358i
\(521\) 697478. 0.112574 0.0562868 0.998415i \(-0.482074\pi\)
0.0562868 + 0.998415i \(0.482074\pi\)
\(522\) −3.83412e6 + 9.57499e6i −0.615871 + 1.53802i
\(523\) 6.70311e6 1.07157 0.535787 0.844353i \(-0.320015\pi\)
0.535787 + 0.844353i \(0.320015\pi\)
\(524\) 1.19355e6 + 5.22927e6i 0.189894 + 0.831980i
\(525\) −5.78345e6 2.78517e6i −0.915776 0.441014i
\(526\) −909856. + 438163.i −0.143386 + 0.0690513i
\(527\) −119174. 522134.i −0.0186919 0.0818946i
\(528\) −1.55164e6 + 6.79818e6i −0.242218 + 1.06123i
\(529\) −2.63829e6 1.27053e6i −0.409905 0.197400i
\(530\) 1.26325e6 + 1.58406e6i 0.195343 + 0.244953i
\(531\) 1.43036e6 + 1.79362e6i 0.220145 + 0.276054i
\(532\) 892476. 429794.i 0.136715 0.0658387i
\(533\) −1.46642e6 + 1.83883e6i −0.223584 + 0.280365i
\(534\) −1.14612e7 −1.73931
\(535\) 1.64620e6 2.06428e6i 0.248656 0.311805i
\(536\) −165681. + 725898.i −0.0249093 + 0.109135i
\(537\) 2.46229e6 1.07880e7i 0.368471 1.61438i
\(538\) 9.70925e6 1.21750e7i 1.44620 1.81348i
\(539\) 1.83562e6 0.272152
\(540\) 381096. 477879.i 0.0562406 0.0705235i
\(541\) −4.47485e6 + 2.15498e6i −0.657333 + 0.316555i −0.732651 0.680605i \(-0.761717\pi\)
0.0753176 + 0.997160i \(0.476003\pi\)
\(542\) 1.76774e6 + 2.21667e6i 0.258476 + 0.324118i
\(543\) 2.95207e6 + 3.70178e6i 0.429662 + 0.538779i
\(544\) −1.63341e7 7.86608e6i −2.36645 1.13962i
\(545\) −282036. + 1.23568e6i −0.0406736 + 0.178203i
\(546\) 783321. + 3.43195e6i 0.112450 + 0.492674i
\(547\) −7.75555e6 + 3.73487e6i −1.10827 + 0.533713i −0.896248 0.443553i \(-0.853718\pi\)
−0.212018 + 0.977266i \(0.568004\pi\)
\(548\) 6.76874e6 + 3.25965e6i 0.962845 + 0.463682i
\(549\) −3.54044e6 1.55117e7i −0.501333 2.19649i
\(550\) 5.79617e6 0.817024
\(551\) 1.16294e6 1.06426e6i 0.163185 0.149338i
\(552\) 1.92133e6 0.268382
\(553\) 1.07531e6 + 4.71123e6i 0.149527 + 0.655121i
\(554\) −1.63654e6 788115.i −0.226544 0.109098i
\(555\) 1.85459e6 893122.i 0.255573 0.123077i
\(556\) −382778. 1.67706e6i −0.0525122 0.230071i
\(557\) 1.18999e6 5.21368e6i 0.162519 0.712044i −0.826338 0.563175i \(-0.809580\pi\)
0.988857 0.148869i \(-0.0475631\pi\)
\(558\) 477098. + 229758.i 0.0648668 + 0.0312382i
\(559\) 1.78697e6 + 2.24079e6i 0.241873 + 0.303299i
\(560\) 1.30116e6 + 1.63161e6i 0.175332 + 0.219860i
\(561\) −1.28806e7 + 6.20295e6i −1.72794 + 0.832130i
\(562\) 9.71146e6 1.21778e7i 1.29701 1.62640i
\(563\) −1.47361e7 −1.95935 −0.979676 0.200586i \(-0.935715\pi\)
−0.979676 + 0.200586i \(0.935715\pi\)
\(564\) 1.22406e7 1.53492e7i 1.62034 2.03184i
\(565\) 701951. 3.07545e6i 0.0925094 0.405310i
\(566\) −2.01930e6 + 8.84711e6i −0.264947 + 1.16081i
\(567\) 2.76804e6 3.47101e6i 0.361588 0.453418i
\(568\) −844143. −0.109786
\(569\) −1.83257e6 + 2.29797e6i −0.237290 + 0.297552i −0.886191 0.463321i \(-0.846658\pi\)
0.648901 + 0.760873i \(0.275229\pi\)
\(570\) −1.05096e6 + 506118.i −0.135488 + 0.0652476i
\(571\) −1.99881e6 2.50643e6i −0.256556 0.321711i 0.636827 0.771007i \(-0.280246\pi\)
−0.893383 + 0.449295i \(0.851675\pi\)
\(572\) −933806. 1.17096e6i −0.119335 0.149641i
\(573\) 5.14273e6 + 2.47661e6i 0.654345 + 0.315116i
\(574\) −2.07443e6 + 9.08869e6i −0.262797 + 1.15139i
\(575\) −1.89209e6 8.28978e6i −0.238656 1.04562i
\(576\) 6.66806e6 3.21117e6i 0.837420 0.403280i
\(577\) −7.94669e6 3.82692e6i −0.993681 0.478531i −0.134891 0.990860i \(-0.543069\pi\)
−0.858789 + 0.512329i \(0.828783\pi\)
\(578\) −6.72538e6 2.94658e7i −0.837331 3.66859i
\(579\) −1.35473e7 −1.67941
\(580\) −1.97644e6 1.36753e6i −0.243958 0.168797i
\(581\) −8.15884e6 −1.00274
\(582\) 4.81690e6 + 2.11042e7i 0.589467 + 2.58263i
\(583\) 3.38099e6 + 1.62820e6i 0.411976 + 0.198397i
\(584\) −75308.8 + 36266.8i −0.00913721 + 0.00440025i
\(585\) −237502. 1.04056e6i −0.0286931 0.125713i
\(586\) 1.91339e6 8.38311e6i 0.230176 1.00847i
\(587\) 1.81260e6 + 872900.i 0.217123 + 0.104561i 0.539284 0.842124i \(-0.318695\pi\)
−0.322161 + 0.946685i \(0.604409\pi\)
\(588\) −2.81676e6 3.53211e6i −0.335975 0.421299i
\(589\) −50462.2 63277.7i −0.00599347 0.00751557i
\(590\) −1.02219e6 + 492260.i −0.120893 + 0.0582189i
\(591\) −9.04829e6 + 1.13462e7i −1.06561 + 1.33623i
\(592\) 5.36789e6 0.629505
\(593\) 6.31956e6 7.92448e6i 0.737990 0.925410i −0.261215 0.965281i \(-0.584123\pi\)
0.999205 + 0.0398709i \(0.0126947\pi\)
\(594\) 534633. 2.34238e6i 0.0621713 0.272390i
\(595\) −952090. + 4.17138e6i −0.110252 + 0.483045i
\(596\) −391679. + 491150.i −0.0451664 + 0.0566368i
\(597\) 4.55225e6 0.522745
\(598\) −2.90731e6 + 3.64565e6i −0.332459 + 0.416890i
\(599\) 4.89411e6 2.35688e6i 0.557323 0.268392i −0.133948 0.990988i \(-0.542766\pi\)
0.691271 + 0.722596i \(0.257051\pi\)
\(600\) 1.08770e6 + 1.36394e6i 0.123348 + 0.154674i
\(601\) 1.32340e6 + 1.65949e6i 0.149453 + 0.187409i 0.850923 0.525291i \(-0.176044\pi\)
−0.701469 + 0.712700i \(0.747472\pi\)
\(602\) 1.02352e7 + 4.92902e6i 1.15108 + 0.554332i
\(603\) 1.78820e6 7.83461e6i 0.200273 0.877453i
\(604\) 1.08034e6 + 4.73327e6i 0.120494 + 0.527921i
\(605\) 1.49480e6 719860.i 0.166034 0.0799576i
\(606\) 2.20244e7 + 1.06064e7i 2.43626 + 1.17324i
\(607\) −290974. 1.27484e6i −0.0320540 0.140438i 0.956369 0.292162i \(-0.0943746\pi\)
−0.988423 + 0.151724i \(0.951517\pi\)
\(608\) −2.73976e6 −0.300576
\(609\) 8.60401e6 + 5.95322e6i 0.940065 + 0.650442i
\(610\) 7.86848e6 0.856183
\(611\) −1.29660e6 5.68079e6i −0.140509 0.615611i
\(612\) 1.73226e7 + 8.34214e6i 1.86954 + 0.900324i
\(613\) 6.78857e6 3.26920e6i 0.729671 0.351391i −0.0318838 0.999492i \(-0.510151\pi\)
0.761555 + 0.648101i \(0.224436\pi\)
\(614\) 1.25077e6 + 5.47997e6i 0.133892 + 0.586621i
\(615\) 1.15103e6 5.04298e6i 0.122715 0.537650i
\(616\) 654092. + 314994.i 0.0694524 + 0.0334465i
\(617\) −1.17532e6 1.47380e6i −0.124292 0.155857i 0.715792 0.698313i \(-0.246066\pi\)
−0.840084 + 0.542456i \(0.817494\pi\)
\(618\) −851563. 1.06783e6i −0.0896903 0.112468i
\(619\) −1.45477e7 + 7.00582e6i −1.52605 + 0.734907i −0.993748 0.111648i \(-0.964387\pi\)
−0.532301 + 0.846555i \(0.678673\pi\)
\(620\) −76935.4 + 96473.9i −0.00803798 + 0.0100793i
\(621\) −3.52464e6 −0.366763
\(622\) −1.60346e7 + 2.01068e7i −1.66181 + 2.08385i
\(623\) −1.41370e6 + 6.19384e6i −0.145928 + 0.639352i
\(624\) 1.13342e6 4.96585e6i 0.116528 0.510542i
\(625\) 4.13877e6 5.18986e6i 0.423810 0.531441i
\(626\) −1.80905e7 −1.84508
\(627\) −1.34705e6 + 1.68914e6i −0.136840 + 0.171592i
\(628\) −3.54463e6 + 1.70700e6i −0.358651 + 0.172717i
\(629\) 6.86179e6 + 8.60441e6i 0.691530 + 0.867151i
\(630\) −2.63770e6 3.30757e6i −0.264773 0.332015i
\(631\) 1.11645e7 + 5.37655e6i 1.11626 + 0.537564i 0.898736 0.438490i \(-0.144486\pi\)
0.217528 + 0.976054i \(0.430201\pi\)
\(632\) 292238. 1.28038e6i 0.0291034 0.127510i
\(633\) −2.14811e6 9.41147e6i −0.213082 0.933573i
\(634\) 7.01525e6 3.37836e6i 0.693138 0.333798i
\(635\) −1.40542e6 676813.i −0.138315 0.0666092i
\(636\) −2.05514e6 9.00417e6i −0.201465 0.882675i
\(637\) −1.34086e6 −0.130929
\(638\) −9.33195e6 1.47228e6i −0.907655 0.143199i
\(639\) 9.11083e6 0.882685
\(640\) −228706. 1.00203e6i −0.0220713 0.0967006i
\(641\) −1.32915e7 6.40086e6i −1.27770 0.615309i −0.332904 0.942961i \(-0.608029\pi\)
−0.944799 + 0.327651i \(0.893743\pi\)
\(642\) −2.30135e7 + 1.10827e7i −2.20366 + 1.06123i
\(643\) 2.52505e6 + 1.10630e7i 0.240848 + 1.05522i 0.940247 + 0.340493i \(0.110594\pi\)
−0.699399 + 0.714731i \(0.746549\pi\)
\(644\) −1.93788e6 + 8.49040e6i −0.184125 + 0.806703i
\(645\) −5.67915e6 2.73493e6i −0.537507 0.258850i
\(646\) −3.88846e6 4.87598e6i −0.366603 0.459706i
\(647\) 6.06072e6 + 7.59990e6i 0.569198 + 0.713752i 0.980228 0.197870i \(-0.0634023\pi\)
−0.411030 + 0.911622i \(0.634831\pi\)
\(648\) −1.08707e6 + 523504.i −0.101699 + 0.0489759i
\(649\) −1.31016e6 + 1.64289e6i −0.122099 + 0.153108i
\(650\) −4.23391e6 −0.393059
\(651\) 334921. 419978.i 0.0309735 0.0388395i
\(652\) −2.52827e6 + 1.10771e7i −0.232919 + 1.02048i
\(653\) −2.28930e6 + 1.00301e7i −0.210097 + 0.920495i 0.754403 + 0.656411i \(0.227926\pi\)
−0.964500 + 0.264083i \(0.914931\pi\)
\(654\) 7.64505e6 9.58659e6i 0.698934 0.876435i
\(655\) −3.50120e6 −0.318870
\(656\) 8.41028e6 1.05462e7i 0.763046 0.956829i
\(657\) 812807. 391427.i 0.0734639 0.0353784i
\(658\) −1.44001e7 1.80572e7i −1.29658 1.62587i
\(659\) −9.45210e6 1.18526e7i −0.847842 1.06316i −0.997230 0.0743813i \(-0.976302\pi\)
0.149388 0.988779i \(-0.452270\pi\)
\(660\) 2.96772e6 + 1.42918e6i 0.265193 + 0.127710i
\(661\) −2.40687e6 + 1.05452e7i −0.214264 + 0.938750i 0.747369 + 0.664409i \(0.231317\pi\)
−0.961633 + 0.274341i \(0.911540\pi\)
\(662\) −1.19317e6 5.22764e6i −0.105818 0.463618i
\(663\) 9.40881e6 4.53105e6i 0.831287 0.400327i
\(664\) 1.99775e6 + 962067.i 0.175842 + 0.0846808i
\(665\) 143882. + 630388.i 0.0126169 + 0.0552782i
\(666\) −1.08817e7 −0.950630
\(667\) 940615. + 1.38273e7i 0.0818648 + 1.20344i
\(668\) 1.56291e7 1.35517
\(669\) −1.15554e6 5.06277e6i −0.0998209 0.437344i
\(670\) 3.58063e6 + 1.72434e6i 0.308157 + 0.148401i
\(671\) 1.31303e7 6.32324e6i 1.12582 0.542167i
\(672\) −4.04632e6 1.77281e7i −0.345650 1.51439i
\(673\) −2.29915e6 + 1.00732e7i −0.195672 + 0.857295i 0.777804 + 0.628507i \(0.216334\pi\)
−0.973476 + 0.228789i \(0.926524\pi\)
\(674\) 2.01558e7 + 9.70650e6i 1.70903 + 0.823025i
\(675\) −1.99537e6 2.50212e6i −0.168564 0.211372i
\(676\) −5.91858e6 7.42167e6i −0.498139 0.624647i
\(677\) 760477. 366227.i 0.0637697 0.0307099i −0.401727 0.915759i \(-0.631590\pi\)
0.465497 + 0.885050i \(0.345876\pi\)
\(678\) −1.90276e7 + 2.38598e7i −1.58968 + 1.99339i
\(679\) 1.19992e7 0.998801
\(680\) 725003. 909125.i 0.0601267 0.0753966i
\(681\) 1.92791e6 8.44674e6i 0.159301 0.697945i
\(682\) −107931. + 472879.i −0.00888561 + 0.0389304i
\(683\) −2.59992e6 + 3.26019e6i −0.213259 + 0.267418i −0.876943 0.480595i \(-0.840421\pi\)
0.663684 + 0.748013i \(0.268992\pi\)
\(684\) 2.90557e6 0.237461
\(685\) −3.05756e6 + 3.83406e6i −0.248971 + 0.312200i
\(686\) −1.65453e7 + 7.96779e6i −1.34235 + 0.646439i
\(687\) 8.12477e6 + 1.01881e7i 0.656779 + 0.823575i
\(688\) −1.02487e7 1.28515e7i −0.825464 1.03510i
\(689\) −2.46970e6 1.18934e6i −0.198196 0.0954464i
\(690\) 2.28201e6 9.99815e6i 0.182472 0.799460i
\(691\) 1.47571e6 + 6.46551e6i 0.117573 + 0.515119i 0.999077 + 0.0429442i \(0.0136738\pi\)
−0.881505 + 0.472175i \(0.843469\pi\)
\(692\) 1.47781e7 7.11675e6i 1.17315 0.564958i
\(693\) −7.05961e6 3.39973e6i −0.558403 0.268913i
\(694\) −274893. 1.20439e6i −0.0216653 0.0949221i
\(695\) 1.12286e6 0.0881786
\(696\) −1.40477e6 2.47225e6i −0.109921 0.193450i
\(697\) 2.76557e7 2.15627
\(698\) −3.83023e6 1.67813e7i −0.297568 1.30373i
\(699\) 1.49963e7 + 7.22182e6i 1.16089 + 0.559054i
\(700\) −7.12436e6 + 3.43091e6i −0.549542 + 0.264645i
\(701\) 806941. + 3.53544e6i 0.0620222 + 0.271737i 0.996425 0.0844810i \(-0.0269232\pi\)
−0.934403 + 0.356218i \(0.884066\pi\)
\(702\) −390532. + 1.71103e6i −0.0299098 + 0.131043i
\(703\) 1.49846e6 + 721622.i 0.114356 + 0.0550708i
\(704\) 4.22667e6 + 5.30008e6i 0.321416 + 0.403042i
\(705\) 7.99009e6 + 1.00193e7i 0.605451 + 0.759211i
\(706\) 1.93420e6 931461.i 0.146046 0.0703320i
\(707\) 8.44854e6 1.05941e7i 0.635672 0.797108i
\(708\) 5.17170e6 0.387748
\(709\) −3.75841e6 + 4.71290e6i −0.280795 + 0.352105i −0.902149 0.431424i \(-0.858011\pi\)
0.621355 + 0.783530i \(0.286583\pi\)
\(710\) −1.00261e6 + 4.39273e6i −0.0746427 + 0.327031i
\(711\) −3.15412e6 + 1.38191e7i −0.233994 + 1.02519i
\(712\) 1.07652e6 1.34991e6i 0.0795830 0.0997939i
\(713\) 711551. 0.0524182
\(714\) 2.58080e7 3.23622e7i 1.89456 2.37570i
\(715\) 880816. 424179.i 0.0644348 0.0310302i
\(716\) −8.49876e6 1.06571e7i −0.619545 0.776885i
\(717\) −1.89300e7 2.37375e7i −1.37516 1.72440i
\(718\) −9.43554e6 4.54392e6i −0.683055 0.328942i
\(719\) −2.57832e6 + 1.12963e7i −0.186000 + 0.814921i 0.792697 + 0.609615i \(0.208676\pi\)
−0.978698 + 0.205306i \(0.934181\pi\)
\(720\) 1.36213e6 + 5.96789e6i 0.0979237 + 0.429032i
\(721\) −682110. + 328487.i −0.0488670 + 0.0235331i
\(722\) 1.65050e7 + 7.94837e6i 1.17834 + 0.567460i
\(723\) 5.59002e6 + 2.44915e7i 0.397711 + 1.74249i
\(724\) 5.83251e6 0.413532
\(725\) −9.28341e6 + 8.49567e6i −0.655938 + 0.600278i
\(726\) −1.60506e7 −1.13019
\(727\) 3.37546e6 + 1.47889e7i 0.236863 + 1.03776i 0.943808 + 0.330496i \(0.107216\pi\)
−0.706945 + 0.707269i \(0.749927\pi\)
\(728\) −477792. 230093.i −0.0334126 0.0160907i
\(729\) 1.75694e7 8.46100e6i 1.22444 0.589661i
\(730\) 99278.0 + 434965.i 0.00689518 + 0.0302098i
\(731\) 7.49920e6 3.28561e7i 0.519065 2.27417i
\(732\) −3.23157e7 1.55624e7i −2.22913 1.07349i
\(733\) −1.08577e7 1.36151e7i −0.746411 0.935970i 0.253093 0.967442i \(-0.418552\pi\)
−0.999505 + 0.0314717i \(0.989981\pi\)
\(734\) −1.90682e7 2.39108e7i −1.30638 1.63815i
\(735\) 2.65692e6 1.27951e6i 0.181410 0.0873623i
\(736\) 1.50180e7 1.88319e7i 1.02192 1.28145i
\(737\) 7.36078e6 0.499178
\(738\) −1.70492e7 + 2.13790e7i −1.15229 + 1.44493i
\(739\) 4.06318e6 1.78019e7i 0.273687 1.19910i −0.631937 0.775020i \(-0.717740\pi\)
0.905624 0.424082i \(-0.139403\pi\)
\(740\) 564244. 2.47211e6i 0.0378780 0.165955i
\(741\) 983972. 1.23386e6i 0.0658320 0.0825507i
\(742\) −1.08651e7 −0.724476
\(743\) −1.12334e6 + 1.40862e6i −0.0746514 + 0.0936098i −0.817755 0.575567i \(-0.804782\pi\)
0.743104 + 0.669176i \(0.233353\pi\)
\(744\) −131531. + 63341.8i −0.00871153 + 0.00419525i
\(745\) −255670. 320600.i −0.0168767 0.0211628i
\(746\) 9.87399e6 + 1.23816e7i 0.649599 + 0.814572i
\(747\) −2.15617e7 1.03836e7i −1.41378 0.680841i
\(748\) −3.91881e6 + 1.71694e7i −0.256094 + 1.12202i
\(749\) 3.15065e6 + 1.38039e7i 0.205209 + 0.899078i
\(750\) 1.78249e7 8.58404e6i 1.15711 0.557235i
\(751\) −1.54398e7 7.43539e6i −0.998942 0.481065i −0.138363 0.990382i \(-0.544184\pi\)
−0.860579 + 0.509316i \(0.829898\pi\)
\(752\) 7.43634e6 + 3.25807e7i 0.479529 + 2.10095i
\(753\) 3651.08 0.000234657
\(754\) 6.81668e6 + 1.07545e6i 0.436661 + 0.0688911i
\(755\) −3.16911e6 −0.202334
\(756\) 729375. + 3.19560e6i 0.0464137 + 0.203352i
\(757\) −2.67708e7 1.28921e7i −1.69793 0.817682i −0.994240 0.107179i \(-0.965818\pi\)
−0.703694 0.710503i \(-0.748468\pi\)
\(758\) −1.06366e7 + 5.12229e6i −0.672400 + 0.323811i
\(759\) −4.22662e6 1.85180e7i −0.266311 1.16678i
\(760\) 39103.0 171321.i 0.00245570 0.0107591i
\(761\) −1.47257e7 7.09153e6i −0.921754 0.443893i −0.0880569 0.996115i \(-0.528066\pi\)
−0.833697 + 0.552222i \(0.813780\pi\)
\(762\) 9.40898e6 + 1.17985e7i 0.587023 + 0.736103i
\(763\) −4.23777e6 5.31400e6i −0.263528 0.330453i
\(764\) 6.33508e6 3.05081e6i 0.392662 0.189096i
\(765\) −7.82495e6 + 9.81218e6i −0.483424 + 0.606194i
\(766\) −1.38990e7 −0.855881
\(767\) 957030. 1.20008e6i 0.0587404 0.0736581i
\(768\) −6.37918e6 + 2.79490e7i −0.390267 + 1.70987i