Properties

Label 18.6.c.b.13.1
Level $18$
Weight $6$
Character 18.13
Analytic conductor $2.887$
Analytic rank $0$
Dimension $6$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 18 = 2 \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 18.c (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.88690875663\)
Analytic rank: \(0\)
Dimension: \(6\)
Relative dimension: \(3\) over \(\Q(\zeta_{3})\)
Coefficient field: 6.0.47347183152.3
Defining polynomial: \( x^{6} - 3x^{5} + 118x^{4} - 231x^{3} + 3700x^{2} - 3585x + 32331 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 2^{2}\cdot 3^{4} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 13.1
Root \(0.500000 + 4.03013i\) of defining polynomial
Character \(\chi\) \(=\) 18.13
Dual form 18.6.c.b.7.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.00000 - 3.46410i) q^{2} +(-8.58066 - 13.0143i) q^{3} +(-8.00000 + 13.8564i) q^{4} +(-39.2420 + 67.9691i) q^{5} +(-27.9216 + 55.7529i) q^{6} +(-110.566 - 191.505i) q^{7} +64.0000 q^{8} +(-95.7446 + 223.343i) q^{9} +O(q^{10})\) \(q+(-2.00000 - 3.46410i) q^{2} +(-8.58066 - 13.0143i) q^{3} +(-8.00000 + 13.8564i) q^{4} +(-39.2420 + 67.9691i) q^{5} +(-27.9216 + 55.7529i) q^{6} +(-110.566 - 191.505i) q^{7} +64.0000 q^{8} +(-95.7446 + 223.343i) q^{9} +313.936 q^{10} +(-115.144 - 199.436i) q^{11} +(248.977 - 14.7826i) q^{12} +(385.793 - 668.213i) q^{13} +(-442.262 + 766.020i) q^{14} +(1221.29 - 72.5123i) q^{15} +(-128.000 - 221.703i) q^{16} -769.880 q^{17} +(965.171 - 115.016i) q^{18} -383.367 q^{19} +(-627.872 - 1087.51i) q^{20} +(-1543.58 + 3082.17i) q^{21} +(-460.577 + 797.743i) q^{22} +(-193.178 + 334.594i) q^{23} +(-549.162 - 832.916i) q^{24} +(-1517.37 - 2628.15i) q^{25} -3086.34 q^{26} +(3728.20 - 670.377i) q^{27} +3538.10 q^{28} +(394.883 + 683.958i) q^{29} +(-2693.78 - 4085.66i) q^{30} +(-1609.97 + 2788.54i) q^{31} +(-512.000 + 886.810i) q^{32} +(-1607.51 + 3209.82i) q^{33} +(1539.76 + 2666.94i) q^{34} +17355.2 q^{35} +(-2328.77 - 3113.42i) q^{36} +2465.33 q^{37} +(766.733 + 1328.02i) q^{38} +(-12006.7 + 712.877i) q^{39} +(-2511.49 + 4350.02i) q^{40} +(4621.73 - 8005.07i) q^{41} +(13764.1 - 817.223i) q^{42} +(-5315.76 - 9207.16i) q^{43} +3684.62 q^{44} +(-11423.2 - 15272.1i) q^{45} +1545.42 q^{46} +(-976.032 - 1690.54i) q^{47} +(-1786.98 + 3568.19i) q^{48} +(-16046.0 + 27792.4i) q^{49} +(-6069.46 + 10512.6i) q^{50} +(6606.08 + 10019.5i) q^{51} +(6172.68 + 10691.4i) q^{52} -32589.2 q^{53} +(-9778.66 - 11574.1i) q^{54} +18074.0 q^{55} +(-7076.19 - 12256.3i) q^{56} +(3289.54 + 4989.25i) q^{57} +(1579.53 - 2735.83i) q^{58} +(11916.1 - 20639.2i) q^{59} +(-8765.58 + 17502.8i) q^{60} +(-18804.4 - 32570.2i) q^{61} +12879.7 q^{62} +(53357.3 - 6358.42i) q^{63} +4096.00 q^{64} +(30278.5 + 52444.0i) q^{65} +(14334.1 - 851.066i) q^{66} +(11525.6 - 19962.9i) q^{67} +(6159.04 - 10667.8i) q^{68} +(6012.10 - 356.959i) q^{69} +(-34710.5 - 60120.3i) q^{70} -66050.4 q^{71} +(-6127.65 + 14293.9i) q^{72} +65130.0 q^{73} +(-4930.66 - 8540.16i) q^{74} +(-21183.6 + 42298.8i) q^{75} +(3066.93 - 5312.08i) q^{76} +(-25462.0 + 44101.5i) q^{77} +(26482.8 + 40166.6i) q^{78} +(35433.7 + 61373.0i) q^{79} +20091.9 q^{80} +(-40714.9 - 42767.7i) q^{81} -36973.8 q^{82} +(-27643.5 - 47880.0i) q^{83} +(-30359.2 - 46045.9i) q^{84} +(30211.6 - 52328.0i) q^{85} +(-21263.0 + 36828.6i) q^{86} +(5512.88 - 11007.9i) q^{87} +(-7369.24 - 12763.9i) q^{88} +10598.6 q^{89} +(-30057.7 + 70115.3i) q^{90} -170622. q^{91} +(-3090.85 - 5353.50i) q^{92} +(50105.6 - 2974.94i) q^{93} +(-3904.13 + 6762.15i) q^{94} +(15044.1 - 26057.1i) q^{95} +(15934.5 - 946.086i) q^{96} +(41409.9 + 71724.1i) q^{97} +128368. q^{98} +(55567.0 - 6621.74i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6 q - 12 q^{2} + 9 q^{3} - 48 q^{4} - 54 q^{5} - 12 q^{6} - 132 q^{7} + 384 q^{8} - 177 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 6 q - 12 q^{2} + 9 q^{3} - 48 q^{4} - 54 q^{5} - 12 q^{6} - 132 q^{7} + 384 q^{8} - 177 q^{9} + 432 q^{10} - 315 q^{11} - 96 q^{12} - 744 q^{13} - 528 q^{14} + 2286 q^{15} - 768 q^{16} + 2898 q^{17} + 1056 q^{18} + 2262 q^{19} - 864 q^{20} - 11076 q^{21} - 1260 q^{22} - 3168 q^{23} + 576 q^{24} - 2883 q^{25} + 5952 q^{26} + 18144 q^{27} + 4224 q^{28} - 5148 q^{29} - 14400 q^{30} - 8610 q^{31} - 3072 q^{32} + 17469 q^{33} - 5796 q^{34} + 2700 q^{35} - 1392 q^{36} + 39936 q^{37} - 4524 q^{38} - 49026 q^{39} - 3456 q^{40} + 5049 q^{41} + 41352 q^{42} - 31389 q^{43} + 10080 q^{44} + 2538 q^{45} + 25344 q^{46} + 12924 q^{47} - 768 q^{48} - 52857 q^{49} - 11532 q^{50} + 36837 q^{51} - 11904 q^{52} - 96048 q^{53} - 71892 q^{54} + 126252 q^{55} - 8448 q^{56} - 17469 q^{57} - 20592 q^{58} + 62955 q^{59} + 21024 q^{60} - 75966 q^{61} + 68880 q^{62} + 49578 q^{63} + 24576 q^{64} + 108702 q^{65} + 2952 q^{66} - 32991 q^{67} - 23184 q^{68} - 29250 q^{69} - 5400 q^{70} - 129672 q^{71} - 11328 q^{72} - 8466 q^{73} - 79872 q^{74} - 105483 q^{75} - 18096 q^{76} + 88740 q^{77} + 171720 q^{78} + 89202 q^{79} + 27648 q^{80} + 123435 q^{81} - 40392 q^{82} + 32634 q^{83} + 11808 q^{84} + 71388 q^{85} - 125556 q^{86} - 151524 q^{87} - 20160 q^{88} + 66132 q^{89} - 263088 q^{90} - 301836 q^{91} - 50688 q^{92} + 57678 q^{93} + 51696 q^{94} - 82944 q^{95} - 6144 q^{96} + 46245 q^{97} + 422856 q^{98} + 282168 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/18\mathbb{Z}\right)^\times\).

\(n\) \(11\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.00000 3.46410i −0.353553 0.612372i
\(3\) −8.58066 13.0143i −0.550449 0.834868i
\(4\) −8.00000 + 13.8564i −0.250000 + 0.433013i
\(5\) −39.2420 + 67.9691i −0.701982 + 1.21587i 0.265788 + 0.964032i \(0.414368\pi\)
−0.967770 + 0.251837i \(0.918965\pi\)
\(6\) −27.9216 + 55.7529i −0.316637 + 0.632251i
\(7\) −110.566 191.505i −0.852854 1.47719i −0.878622 0.477518i \(-0.841536\pi\)
0.0257678 0.999668i \(-0.491797\pi\)
\(8\) 64.0000 0.353553
\(9\) −95.7446 + 223.343i −0.394011 + 0.919106i
\(10\) 313.936 0.992752
\(11\) −115.144 199.436i −0.286920 0.496960i 0.686153 0.727457i \(-0.259298\pi\)
−0.973073 + 0.230497i \(0.925965\pi\)
\(12\) 248.977 14.7826i 0.499121 0.0296345i
\(13\) 385.793 668.213i 0.633134 1.09662i −0.353773 0.935331i \(-0.615101\pi\)
0.986907 0.161289i \(-0.0515652\pi\)
\(14\) −442.262 + 766.020i −0.603059 + 1.04453i
\(15\) 1221.29 72.5123i 1.40150 0.0832115i
\(16\) −128.000 221.703i −0.125000 0.216506i
\(17\) −769.880 −0.646101 −0.323051 0.946382i \(-0.604708\pi\)
−0.323051 + 0.946382i \(0.604708\pi\)
\(18\) 965.171 115.016i 0.702139 0.0836717i
\(19\) −383.367 −0.243630 −0.121815 0.992553i \(-0.538871\pi\)
−0.121815 + 0.992553i \(0.538871\pi\)
\(20\) −627.872 1087.51i −0.350991 0.607934i
\(21\) −1543.58 + 3082.17i −0.763803 + 1.52514i
\(22\) −460.577 + 797.743i −0.202883 + 0.351404i
\(23\) −193.178 + 334.594i −0.0761444 + 0.131886i −0.901583 0.432605i \(-0.857594\pi\)
0.825439 + 0.564491i \(0.190928\pi\)
\(24\) −549.162 832.916i −0.194613 0.295171i
\(25\) −1517.37 2628.15i −0.485557 0.841009i
\(26\) −3086.34 −0.895387
\(27\) 3728.20 670.377i 0.984215 0.176974i
\(28\) 3538.10 0.852854
\(29\) 394.883 + 683.958i 0.0871914 + 0.151020i 0.906323 0.422586i \(-0.138877\pi\)
−0.819131 + 0.573606i \(0.805544\pi\)
\(30\) −2693.78 4085.66i −0.546460 0.828817i
\(31\) −1609.97 + 2788.54i −0.300893 + 0.521163i −0.976339 0.216247i \(-0.930618\pi\)
0.675445 + 0.737410i \(0.263952\pi\)
\(32\) −512.000 + 886.810i −0.0883883 + 0.153093i
\(33\) −1607.51 + 3209.82i −0.256961 + 0.513092i
\(34\) 1539.76 + 2666.94i 0.228431 + 0.395655i
\(35\) 17355.2 2.39475
\(36\) −2328.77 3113.42i −0.299482 0.400388i
\(37\) 2465.33 0.296054 0.148027 0.988983i \(-0.452708\pi\)
0.148027 + 0.988983i \(0.452708\pi\)
\(38\) 766.733 + 1328.02i 0.0861361 + 0.149192i
\(39\) −12006.7 + 712.877i −1.26404 + 0.0750505i
\(40\) −2511.49 + 4350.02i −0.248188 + 0.429874i
\(41\) 4621.73 8005.07i 0.429383 0.743713i −0.567436 0.823418i \(-0.692064\pi\)
0.996819 + 0.0797047i \(0.0253977\pi\)
\(42\) 13764.1 817.223i 1.20400 0.0714854i
\(43\) −5315.76 9207.16i −0.438424 0.759372i 0.559145 0.829070i \(-0.311130\pi\)
−0.997568 + 0.0696983i \(0.977796\pi\)
\(44\) 3684.62 0.286920
\(45\) −11423.2 15272.1i −0.840923 1.12426i
\(46\) 1545.42 0.107684
\(47\) −976.032 1690.54i −0.0644495 0.111630i 0.832000 0.554775i \(-0.187196\pi\)
−0.896450 + 0.443146i \(0.853862\pi\)
\(48\) −1786.98 + 3568.19i −0.111948 + 0.223534i
\(49\) −16046.0 + 27792.4i −0.954720 + 1.65362i
\(50\) −6069.46 + 10512.6i −0.343341 + 0.594683i
\(51\) 6606.08 + 10019.5i 0.355646 + 0.539410i
\(52\) 6172.68 + 10691.4i 0.316567 + 0.548310i
\(53\) −32589.2 −1.59362 −0.796809 0.604231i \(-0.793480\pi\)
−0.796809 + 0.604231i \(0.793480\pi\)
\(54\) −9778.66 11574.1i −0.456347 0.540137i
\(55\) 18074.0 0.805651
\(56\) −7076.19 12256.3i −0.301529 0.522264i
\(57\) 3289.54 + 4989.25i 0.134106 + 0.203399i
\(58\) 1579.53 2735.83i 0.0616537 0.106787i
\(59\) 11916.1 20639.2i 0.445659 0.771903i −0.552439 0.833553i \(-0.686303\pi\)
0.998098 + 0.0616498i \(0.0196362\pi\)
\(60\) −8765.58 + 17502.8i −0.314342 + 0.627668i
\(61\) −18804.4 32570.2i −0.647046 1.12072i −0.983825 0.179133i \(-0.942671\pi\)
0.336779 0.941584i \(-0.390663\pi\)
\(62\) 12879.7 0.425528
\(63\) 53357.3 6358.42i 1.69372 0.201836i
\(64\) 4096.00 0.125000
\(65\) 30278.5 + 52444.0i 0.888897 + 1.53962i
\(66\) 14334.1 851.066i 0.405053 0.0240494i
\(67\) 11525.6 19962.9i 0.313672 0.543295i −0.665483 0.746413i \(-0.731774\pi\)
0.979154 + 0.203118i \(0.0651075\pi\)
\(68\) 6159.04 10667.8i 0.161525 0.279770i
\(69\) 6012.10 356.959i 0.152021 0.00902600i
\(70\) −34710.5 60120.3i −0.846673 1.46648i
\(71\) −66050.4 −1.55500 −0.777498 0.628885i \(-0.783511\pi\)
−0.777498 + 0.628885i \(0.783511\pi\)
\(72\) −6127.65 + 14293.9i −0.139304 + 0.324953i
\(73\) 65130.0 1.43045 0.715227 0.698893i \(-0.246324\pi\)
0.715227 + 0.698893i \(0.246324\pi\)
\(74\) −4930.66 8540.16i −0.104671 0.181295i
\(75\) −21183.6 + 42298.8i −0.434858 + 0.868309i
\(76\) 3066.93 5312.08i 0.0609074 0.105495i
\(77\) −25462.0 + 44101.5i −0.489402 + 0.847669i
\(78\) 26482.8 + 40166.6i 0.492865 + 0.747530i
\(79\) 35433.7 + 61373.0i 0.638776 + 1.10639i 0.985702 + 0.168500i \(0.0538924\pi\)
−0.346925 + 0.937893i \(0.612774\pi\)
\(80\) 20091.9 0.350991
\(81\) −40714.9 42767.7i −0.689511 0.724275i
\(82\) −36973.8 −0.607239
\(83\) −27643.5 47880.0i −0.440451 0.762884i 0.557272 0.830330i \(-0.311848\pi\)
−0.997723 + 0.0674462i \(0.978515\pi\)
\(84\) −30359.2 46045.9i −0.469453 0.712021i
\(85\) 30211.6 52328.0i 0.453551 0.785574i
\(86\) −21263.0 + 36828.6i −0.310012 + 0.536957i
\(87\) 5512.88 11007.9i 0.0780873 0.155922i
\(88\) −7369.24 12763.9i −0.101442 0.175702i
\(89\) 10598.6 0.141831 0.0709156 0.997482i \(-0.477408\pi\)
0.0709156 + 0.997482i \(0.477408\pi\)
\(90\) −30057.7 + 70115.3i −0.391155 + 0.912444i
\(91\) −170622. −2.15988
\(92\) −3090.85 5353.50i −0.0380722 0.0659430i
\(93\) 50105.6 2974.94i 0.600729 0.0356673i
\(94\) −3904.13 + 6762.15i −0.0455727 + 0.0789342i
\(95\) 15044.1 26057.1i 0.171024 0.296222i
\(96\) 15934.5 946.086i 0.176466 0.0104774i
\(97\) 41409.9 + 71724.1i 0.446864 + 0.773991i 0.998180 0.0603057i \(-0.0192076\pi\)
−0.551316 + 0.834296i \(0.685874\pi\)
\(98\) 128368. 1.35018
\(99\) 55567.0 6621.74i 0.569809 0.0679023i
\(100\) 48555.7 0.485557
\(101\) −10604.1 18366.9i −0.103436 0.179156i 0.809662 0.586896i \(-0.199650\pi\)
−0.913098 + 0.407740i \(0.866317\pi\)
\(102\) 21496.3 42923.0i 0.204580 0.408498i
\(103\) −65877.4 + 114103.i −0.611848 + 1.05975i 0.379081 + 0.925363i \(0.376240\pi\)
−0.990929 + 0.134388i \(0.957093\pi\)
\(104\) 24690.7 42765.6i 0.223847 0.387714i
\(105\) −148919. 225866.i −1.31819 1.99930i
\(106\) 65178.4 + 112892.i 0.563429 + 0.975888i
\(107\) 54796.5 0.462693 0.231347 0.972871i \(-0.425687\pi\)
0.231347 + 0.972871i \(0.425687\pi\)
\(108\) −20536.6 + 57022.5i −0.169422 + 0.470421i
\(109\) 160570. 1.29448 0.647242 0.762284i \(-0.275922\pi\)
0.647242 + 0.762284i \(0.275922\pi\)
\(110\) −36147.9 62610.1i −0.284840 0.493358i
\(111\) −21154.2 32084.6i −0.162963 0.247166i
\(112\) −28304.8 + 49025.3i −0.213213 + 0.369297i
\(113\) 33217.8 57534.9i 0.244723 0.423873i −0.717331 0.696733i \(-0.754636\pi\)
0.962054 + 0.272860i \(0.0879696\pi\)
\(114\) 10704.2 21373.8i 0.0771422 0.154035i
\(115\) −15161.4 26260.3i −0.106904 0.185163i
\(116\) −12636.3 −0.0871914
\(117\) 112303. + 150142.i 0.758449 + 1.01400i
\(118\) −95328.4 −0.630256
\(119\) 85122.2 + 147436.i 0.551030 + 0.954412i
\(120\) 78162.7 4640.79i 0.495503 0.0294197i
\(121\) 54009.1 93546.4i 0.335354 0.580850i
\(122\) −75217.7 + 130281.i −0.457531 + 0.792467i
\(123\) −143838. + 8540.15i −0.857256 + 0.0508982i
\(124\) −25759.5 44616.7i −0.150447 0.260581i
\(125\) −7084.72 −0.0405553
\(126\) −128741. 172118.i −0.722421 0.965830i
\(127\) −299603. −1.64830 −0.824152 0.566368i \(-0.808348\pi\)
−0.824152 + 0.566368i \(0.808348\pi\)
\(128\) −8192.00 14189.0i −0.0441942 0.0765466i
\(129\) −74212.1 + 148184.i −0.392646 + 0.784022i
\(130\) 121114. 209776.i 0.628545 1.08867i
\(131\) 166224. 287909.i 0.846283 1.46581i −0.0382189 0.999269i \(-0.512168\pi\)
0.884502 0.466536i \(-0.154498\pi\)
\(132\) −31616.5 47952.8i −0.157935 0.239541i
\(133\) 42387.1 + 73416.7i 0.207781 + 0.359887i
\(134\) −92204.5 −0.443599
\(135\) −100737. + 279710.i −0.475724 + 1.32091i
\(136\) −49272.3 −0.228431
\(137\) 93601.3 + 162122.i 0.426070 + 0.737974i 0.996520 0.0833580i \(-0.0265645\pi\)
−0.570450 + 0.821332i \(0.693231\pi\)
\(138\) −13260.7 20112.6i −0.0592748 0.0899023i
\(139\) 105285. 182358.i 0.462198 0.800550i −0.536872 0.843664i \(-0.680394\pi\)
0.999070 + 0.0431133i \(0.0137276\pi\)
\(140\) −138842. + 240481.i −0.598688 + 1.03696i
\(141\) −13626.2 + 27208.3i −0.0577200 + 0.115253i
\(142\) 132101. + 228805.i 0.549774 + 0.952237i
\(143\) −177687. −0.726635
\(144\) 61770.9 7361.05i 0.248244 0.0295824i
\(145\) −61984.0 −0.244827
\(146\) −130260. 225617.i −0.505742 0.875970i
\(147\) 499385. 29650.1i 1.90608 0.113171i
\(148\) −19722.7 + 34160.6i −0.0740135 + 0.128195i
\(149\) −242872. + 420667.i −0.896215 + 1.55229i −0.0639212 + 0.997955i \(0.520361\pi\)
−0.832294 + 0.554335i \(0.812973\pi\)
\(150\) 188894. 11215.3i 0.685474 0.0406989i
\(151\) −105105. 182047.i −0.375130 0.649744i 0.615217 0.788358i \(-0.289069\pi\)
−0.990346 + 0.138614i \(0.955735\pi\)
\(152\) −24535.5 −0.0861361
\(153\) 73711.8 171947.i 0.254571 0.593835i
\(154\) 203696. 0.692119
\(155\) −126357. 218856.i −0.422443 0.731694i
\(156\) 86175.6 172073.i 0.283513 0.566109i
\(157\) 196123. 339696.i 0.635009 1.09987i −0.351504 0.936186i \(-0.614330\pi\)
0.986513 0.163682i \(-0.0523371\pi\)
\(158\) 141735. 245492.i 0.451683 0.782338i
\(159\) 279637. + 424126.i 0.877206 + 1.33046i
\(160\) −40183.8 69600.4i −0.124094 0.214937i
\(161\) 85435.3 0.259760
\(162\) −66721.9 + 226576.i −0.199747 + 0.678308i
\(163\) 190208. 0.560738 0.280369 0.959892i \(-0.409543\pi\)
0.280369 + 0.959892i \(0.409543\pi\)
\(164\) 73947.7 + 128081.i 0.214692 + 0.371857i
\(165\) −155087. 235220.i −0.443470 0.672612i
\(166\) −110574. + 191520.i −0.311446 + 0.539440i
\(167\) 200619. 347483.i 0.556650 0.964145i −0.441123 0.897446i \(-0.645420\pi\)
0.997773 0.0666991i \(-0.0212467\pi\)
\(168\) −98789.3 + 197259.i −0.270045 + 0.539217i
\(169\) −112026. 194034.i −0.301718 0.522590i
\(170\) −241693. −0.641418
\(171\) 36705.3 85622.1i 0.0959927 0.223922i
\(172\) 170104. 0.438424
\(173\) −47391.9 82085.1i −0.120389 0.208521i 0.799532 0.600624i \(-0.205081\pi\)
−0.919921 + 0.392103i \(0.871748\pi\)
\(174\) −49158.4 + 2918.70i −0.123091 + 0.00730830i
\(175\) −335537. + 581166.i −0.828218 + 1.43452i
\(176\) −29477.0 + 51055.6i −0.0717300 + 0.124240i
\(177\) −370853. + 22018.8i −0.889750 + 0.0528275i
\(178\) −21197.1 36714.5i −0.0501449 0.0868536i
\(179\) −218816. −0.510442 −0.255221 0.966883i \(-0.582148\pi\)
−0.255221 + 0.966883i \(0.582148\pi\)
\(180\) 303002. 36107.8i 0.697050 0.0830652i
\(181\) −344513. −0.781645 −0.390823 0.920466i \(-0.627809\pi\)
−0.390823 + 0.920466i \(0.627809\pi\)
\(182\) 341243. + 591050.i 0.763634 + 1.32265i
\(183\) −262525. + 524200.i −0.579485 + 1.15710i
\(184\) −12363.4 + 21414.0i −0.0269211 + 0.0466287i
\(185\) −96744.5 + 167566.i −0.207825 + 0.359963i
\(186\) −110517. 167621.i −0.234231 0.355260i
\(187\) 88647.3 + 153542.i 0.185379 + 0.321087i
\(188\) 31233.0 0.0644495
\(189\) −540592. 639849.i −1.10082 1.30294i
\(190\) −120353. −0.241864
\(191\) 67476.5 + 116873.i 0.133835 + 0.231809i 0.925152 0.379597i \(-0.123938\pi\)
−0.791317 + 0.611406i \(0.790604\pi\)
\(192\) −35146.4 53306.6i −0.0688062 0.104359i
\(193\) −113675. + 196892.i −0.219671 + 0.380482i −0.954707 0.297546i \(-0.903832\pi\)
0.735036 + 0.678028i \(0.237165\pi\)
\(194\) 165640. 286896.i 0.315980 0.547294i
\(195\) 422712. 844058.i 0.796083 1.58959i
\(196\) −256736. 444679.i −0.477360 0.826811i
\(197\) 430437. 0.790213 0.395107 0.918635i \(-0.370708\pi\)
0.395107 + 0.918635i \(0.370708\pi\)
\(198\) −134072. 179246.i −0.243039 0.324928i
\(199\) 719704. 1.28831 0.644156 0.764894i \(-0.277209\pi\)
0.644156 + 0.764894i \(0.277209\pi\)
\(200\) −97111.4 168202.i −0.171670 0.297342i
\(201\) −358700. + 21297.2i −0.626241 + 0.0371820i
\(202\) −42416.5 + 73467.5i −0.0731402 + 0.126683i
\(203\) 87321.0 151244.i 0.148723 0.257596i
\(204\) −191682. + 11380.8i −0.322483 + 0.0191469i
\(205\) 362732. + 628269.i 0.602838 + 1.04415i
\(206\) 527019. 0.865283
\(207\) −56233.4 75180.4i −0.0912154 0.121949i
\(208\) −197526. −0.316567
\(209\) 44142.5 + 76457.1i 0.0699023 + 0.121074i
\(210\) −484586. + 967605.i −0.758267 + 1.51408i
\(211\) −30700.0 + 53174.0i −0.0474715 + 0.0822230i −0.888785 0.458325i \(-0.848450\pi\)
0.841313 + 0.540548i \(0.181783\pi\)
\(212\) 260714. 451569.i 0.398405 0.690057i
\(213\) 566756. + 859600.i 0.855947 + 1.29822i
\(214\) −109593. 189821.i −0.163587 0.283341i
\(215\) 834403. 1.23106
\(216\) 238605. 42904.2i 0.347973 0.0625698i
\(217\) 712027. 1.02647
\(218\) −321139. 556229.i −0.457670 0.792707i
\(219\) −558858. 847621.i −0.787392 1.19424i
\(220\) −144592. + 250440.i −0.201413 + 0.348857i
\(221\) −297014. + 514443.i −0.409069 + 0.708528i
\(222\) −68835.9 + 137449.i −0.0937417 + 0.187180i
\(223\) −329013. 569868.i −0.443049 0.767383i 0.554865 0.831940i \(-0.312770\pi\)
−0.997914 + 0.0645574i \(0.979436\pi\)
\(224\) 226438. 0.301529
\(225\) 732259. 87260.9i 0.964291 0.114912i
\(226\) −265742. −0.346091
\(227\) 5067.16 + 8776.57i 0.00652679 + 0.0113047i 0.869270 0.494337i \(-0.164589\pi\)
−0.862744 + 0.505642i \(0.831256\pi\)
\(228\) −95449.4 + 5667.15i −0.121601 + 0.00721985i
\(229\) −611518. + 1.05918e6i −0.770584 + 1.33469i 0.166659 + 0.986015i \(0.446702\pi\)
−0.937243 + 0.348677i \(0.886631\pi\)
\(230\) −60645.5 + 105041.i −0.0755925 + 0.130930i
\(231\) 792431. 47049.3i 0.977083 0.0580127i
\(232\) 25272.5 + 43773.3i 0.0308268 + 0.0533936i
\(233\) −1.16513e6 −1.40599 −0.702996 0.711194i \(-0.748155\pi\)
−0.702996 + 0.711194i \(0.748155\pi\)
\(234\) 295501. 689312.i 0.352792 0.822955i
\(235\) 153206. 0.180969
\(236\) 190657. + 330227.i 0.222829 + 0.385952i
\(237\) 494683. 987766.i 0.572079 1.14231i
\(238\) 340489. 589744.i 0.389637 0.674871i
\(239\) −659760. + 1.14274e6i −0.747122 + 1.29405i 0.202075 + 0.979370i \(0.435231\pi\)
−0.949197 + 0.314683i \(0.898102\pi\)
\(240\) −172402. 261482.i −0.193203 0.293031i
\(241\) −265905. 460560.i −0.294906 0.510792i 0.680057 0.733159i \(-0.261955\pi\)
−0.974963 + 0.222367i \(0.928622\pi\)
\(242\) −432072. −0.474262
\(243\) −207231. + 896852.i −0.225133 + 0.974328i
\(244\) 601741. 0.647046
\(245\) −1.25935e6 2.18126e6i −1.34039 2.32163i
\(246\) 317260. + 481189.i 0.334255 + 0.506965i
\(247\) −147900. + 256170.i −0.154250 + 0.267169i
\(248\) −103038. + 178467.i −0.106382 + 0.184259i
\(249\) −385925. + 770603.i −0.394462 + 0.787648i
\(250\) 14169.4 + 24542.2i 0.0143385 + 0.0248349i
\(251\) 475.750 0.000476644 0.000238322 1.00000i \(-0.499924\pi\)
0.000238322 1.00000i \(0.499924\pi\)
\(252\) −338754. + 790208.i −0.336034 + 0.783863i
\(253\) 88973.4 0.0873894
\(254\) 599207. + 1.03786e6i 0.582764 + 1.00938i
\(255\) −940249. + 55825.7i −0.905508 + 0.0537631i
\(256\) −32768.0 + 56755.8i −0.0312500 + 0.0541266i
\(257\) 13603.3 23561.6i 0.0128473 0.0222522i −0.859530 0.511085i \(-0.829244\pi\)
0.872378 + 0.488833i \(0.162577\pi\)
\(258\) 661750. 39290.3i 0.618935 0.0367482i
\(259\) −272581. 472124.i −0.252491 0.437327i
\(260\) −968913. −0.888897
\(261\) −190565. + 22709.0i −0.173158 + 0.0206347i
\(262\) −1.32979e6 −1.19683
\(263\) 69991.2 + 121228.i 0.0623956 + 0.108072i 0.895536 0.444990i \(-0.146793\pi\)
−0.833140 + 0.553062i \(0.813459\pi\)
\(264\) −102880. + 205428.i −0.0908495 + 0.181405i
\(265\) 1.27887e6 2.21506e6i 1.11869 1.93763i
\(266\) 169549. 293667.i 0.146923 0.254478i
\(267\) −90942.6 137933.i −0.0780709 0.118410i
\(268\) 184409. + 319406.i 0.156836 + 0.271648i
\(269\) 1.63842e6 1.38053 0.690263 0.723558i \(-0.257495\pi\)
0.690263 + 0.723558i \(0.257495\pi\)
\(270\) 1.17042e6 210455.i 0.977082 0.175692i
\(271\) −280791. −0.232252 −0.116126 0.993234i \(-0.537048\pi\)
−0.116126 + 0.993234i \(0.537048\pi\)
\(272\) 98544.6 + 170684.i 0.0807627 + 0.139885i
\(273\) 1.46405e6 + 2.22052e6i 1.18891 + 1.80322i
\(274\) 374405. 648489.i 0.301277 0.521827i
\(275\) −349432. + 605234.i −0.278632 + 0.482605i
\(276\) −43150.7 + 86161.8i −0.0340969 + 0.0680835i
\(277\) −346404. 599989.i −0.271259 0.469834i 0.697926 0.716170i \(-0.254107\pi\)
−0.969184 + 0.246336i \(0.920773\pi\)
\(278\) −842277. −0.653647
\(279\) −468656. 626563.i −0.360449 0.481897i
\(280\) 1.11074e6 0.846673
\(281\) 1.05464e6 + 1.82670e6i 0.796782 + 1.38007i 0.921701 + 0.387901i \(0.126800\pi\)
−0.124919 + 0.992167i \(0.539867\pi\)
\(282\) 121505. 7214.14i 0.0909851 0.00540209i
\(283\) 731346. 1.26673e6i 0.542821 0.940193i −0.455920 0.890021i \(-0.650690\pi\)
0.998741 0.0501725i \(-0.0159771\pi\)
\(284\) 528403. 915221.i 0.388749 0.673333i
\(285\) −468203. + 27798.8i −0.341446 + 0.0202728i
\(286\) 355375. + 615527.i 0.256904 + 0.444972i
\(287\) −2.04402e6 −1.46480
\(288\) −149041. 199259.i −0.105883 0.141559i
\(289\) −827142. −0.582553
\(290\) 123968. + 214719.i 0.0865595 + 0.149925i
\(291\) 578115. 1.15436e6i 0.400204 0.799115i
\(292\) −521040. + 902467.i −0.357613 + 0.619404i
\(293\) 1.27745e6 2.21261e6i 0.869313 1.50569i 0.00661216 0.999978i \(-0.497895\pi\)
0.862700 0.505715i \(-0.168771\pi\)
\(294\) −1.10148e6 1.67062e6i −0.743205 1.12722i
\(295\) 935219. + 1.61985e6i 0.625688 + 1.08372i
\(296\) 157781. 0.104671
\(297\) −562979. 666347.i −0.370340 0.438338i
\(298\) 1.94298e6 1.26744
\(299\) 149053. + 258168.i 0.0964192 + 0.167003i
\(300\) −416640. 631919.i −0.267275 0.405376i
\(301\) −1.17548e6 + 2.03599e6i −0.747822 + 1.29527i
\(302\) −420421. + 728190.i −0.265257 + 0.459438i
\(303\) −148042. + 295605.i −0.0926357 + 0.184972i
\(304\) 49070.9 + 84993.3i 0.0304537 + 0.0527474i
\(305\) 2.95169e6 1.81686
\(306\) −743066. + 88548.8i −0.453653 + 0.0540604i
\(307\) −2.14982e6 −1.30183 −0.650917 0.759149i \(-0.725615\pi\)
−0.650917 + 0.759149i \(0.725615\pi\)
\(308\) −407392. 705623.i −0.244701 0.423834i
\(309\) 2.05024e6 121730.i 1.22154 0.0725272i
\(310\) −505426. + 875424.i −0.298713 + 0.517385i
\(311\) 183809. 318367.i 0.107762 0.186650i −0.807101 0.590413i \(-0.798965\pi\)
0.914863 + 0.403763i \(0.132298\pi\)
\(312\) −768428. + 45624.2i −0.446906 + 0.0265343i
\(313\) −91371.8 158261.i −0.0527171 0.0913086i 0.838463 0.544959i \(-0.183455\pi\)
−0.891180 + 0.453650i \(0.850121\pi\)
\(314\) −1.56899e6 −0.898039
\(315\) −1.66167e6 + 3.87617e6i −0.943558 + 2.20103i
\(316\) −1.13388e6 −0.638776
\(317\) −432482. 749081.i −0.241724 0.418679i 0.719481 0.694512i \(-0.244380\pi\)
−0.961206 + 0.275833i \(0.911046\pi\)
\(318\) 909942. 1.81694e6i 0.504599 1.00757i
\(319\) 90937.2 157508.i 0.0500339 0.0866613i
\(320\) −160735. + 278401.i −0.0877477 + 0.151984i
\(321\) −470190. 713139.i −0.254689 0.386288i
\(322\) −170871. 295956.i −0.0918391 0.159070i
\(323\) 295146. 0.157409
\(324\) 918326. 222021.i 0.485998 0.117498i
\(325\) −2.34155e6 −1.22969
\(326\) −380416. 658900.i −0.198251 0.343381i
\(327\) −1.37779e6 2.08970e6i −0.712549 1.08072i
\(328\) 295791. 512324.i 0.151810 0.262942i
\(329\) −215831. + 373830.i −0.109932 + 0.190408i
\(330\) −504654. + 1.00768e6i −0.255099 + 0.509373i
\(331\) 1.49880e6 + 2.59600e6i 0.751923 + 1.30237i 0.946890 + 0.321559i \(0.104207\pi\)
−0.194967 + 0.980810i \(0.562460\pi\)
\(332\) 884592. 0.440451
\(333\) −236042. + 550614.i −0.116648 + 0.272105i
\(334\) −1.60496e6 −0.787221
\(335\) 904572. + 1.56676e6i 0.440384 + 0.762767i
\(336\) 880904. 52302.3i 0.425677 0.0252739i
\(337\) −359139. + 622047.i −0.172261 + 0.298365i −0.939210 0.343343i \(-0.888441\pi\)
0.766949 + 0.641708i \(0.221774\pi\)
\(338\) −448103. + 776136.i −0.213347 + 0.369527i
\(339\) −1.03381e6 + 61380.7i −0.488586 + 0.0290090i
\(340\) 483386. + 837249.i 0.226776 + 0.392787i
\(341\) 741514. 0.345329
\(342\) −370014. + 44093.4i −0.171062 + 0.0203849i
\(343\) 3.37998e6 1.55124
\(344\) −340208. 589258.i −0.155006 0.268478i
\(345\) −211665. + 422645.i −0.0957416 + 0.191174i
\(346\) −189567. + 328340.i −0.0851282 + 0.147446i
\(347\) 1.87463e6 3.24695e6i 0.835779 1.44761i −0.0576157 0.998339i \(-0.518350\pi\)
0.893395 0.449273i \(-0.148317\pi\)
\(348\) 108427. + 164452.i 0.0479945 + 0.0727934i
\(349\) 1.16679e6 + 2.02094e6i 0.512778 + 0.888157i 0.999890 + 0.0148181i \(0.00471692\pi\)
−0.487112 + 0.873339i \(0.661950\pi\)
\(350\) 2.68429e6 1.17128
\(351\) 990359. 2.74986e6i 0.429067 1.19136i
\(352\) 235816. 0.101442
\(353\) −2.17285e6 3.76348e6i −0.928094 1.60751i −0.786508 0.617580i \(-0.788113\pi\)
−0.141586 0.989926i \(-0.545220\pi\)
\(354\) 817980. + 1.24063e6i 0.346924 + 0.526181i
\(355\) 2.59195e6 4.48938e6i 1.09158 1.89067i
\(356\) −84788.5 + 146858.i −0.0354578 + 0.0614147i
\(357\) 1.18837e6 2.37290e6i 0.493494 0.985393i
\(358\) 437632. + 758001.i 0.180469 + 0.312581i
\(359\) −2.71281e6 −1.11092 −0.555461 0.831542i \(-0.687458\pi\)
−0.555461 + 0.831542i \(0.687458\pi\)
\(360\) −731084. 977413.i −0.297311 0.397486i
\(361\) −2.32913e6 −0.940645
\(362\) 689027. + 1.19343e6i 0.276353 + 0.478658i
\(363\) −1.68088e6 + 99799.3i −0.669528 + 0.0397522i
\(364\) 1.36497e6 2.36420e6i 0.539971 0.935257i
\(365\) −2.55583e6 + 4.42682e6i −1.00415 + 1.73924i
\(366\) 2.34093e6 138989.i 0.913453 0.0542348i
\(367\) −1.95814e6 3.39160e6i −0.758889 1.31443i −0.943417 0.331608i \(-0.892409\pi\)
0.184528 0.982827i \(-0.440924\pi\)
\(368\) 98907.1 0.0380722
\(369\) 1.34537e6 + 1.79867e6i 0.514370 + 0.687679i
\(370\) 773956. 0.293908
\(371\) 3.60324e6 + 6.24100e6i 1.35912 + 2.35407i
\(372\) −359623. + 718083.i −0.134738 + 0.269040i
\(373\) −890322. + 1.54208e6i −0.331341 + 0.573899i −0.982775 0.184806i \(-0.940834\pi\)
0.651434 + 0.758705i \(0.274168\pi\)
\(374\) 354589. 614167.i 0.131083 0.227042i
\(375\) 60791.5 + 92202.7i 0.0223236 + 0.0338583i
\(376\) −62466.1 108194.i −0.0227863 0.0394671i
\(377\) 609373. 0.220815
\(378\) −1.13532e6 + 3.15236e6i −0.408685 + 1.13477i
\(379\) −631740. −0.225912 −0.112956 0.993600i \(-0.536032\pi\)
−0.112956 + 0.993600i \(0.536032\pi\)
\(380\) 240705. + 416913.i 0.0855118 + 0.148111i
\(381\) 2.57079e6 + 3.89913e6i 0.907308 + 1.37612i
\(382\) 269906. 467491.i 0.0946355 0.163914i
\(383\) −66803.0 + 115706.i −0.0232701 + 0.0403050i −0.877426 0.479712i \(-0.840741\pi\)
0.854156 + 0.520017i \(0.174074\pi\)
\(384\) −114367. + 228364.i −0.0395796 + 0.0790313i
\(385\) −1.99836e6 3.46126e6i −0.687102 1.19010i
\(386\) 909404. 0.310662
\(387\) 2.56531e6 305700.i 0.870687 0.103757i
\(388\) −1.32512e6 −0.446864
\(389\) −2.79735e6 4.84515e6i −0.937286 1.62343i −0.770505 0.637434i \(-0.779996\pi\)
−0.166781 0.985994i \(-0.553337\pi\)
\(390\) −3.76933e6 + 223798.i −1.25488 + 0.0745065i
\(391\) 148724. 257597.i 0.0491970 0.0852117i
\(392\) −1.02694e6 + 1.77872e6i −0.337544 + 0.584644i
\(393\) −5.17324e6 + 307153.i −1.68959 + 0.100317i
\(394\) −860875. 1.49108e6i −0.279383 0.483905i
\(395\) −5.56195e6 −1.79364
\(396\) −352782. + 822933.i −0.113050 + 0.263710i
\(397\) 4.19051e6 1.33441 0.667206 0.744873i \(-0.267490\pi\)
0.667206 + 0.744873i \(0.267490\pi\)
\(398\) −1.43941e6 2.49313e6i −0.455487 0.788927i
\(399\) 591758. 1.18160e6i 0.186085 0.371569i
\(400\) −388445. + 672807.i −0.121389 + 0.210252i
\(401\) 229109. 396829.i 0.0711511 0.123237i −0.828255 0.560351i \(-0.810666\pi\)
0.899406 + 0.437114i \(0.143999\pi\)
\(402\) 791176. + 1.19998e6i 0.244179 + 0.370347i
\(403\) 1.24223e6 + 2.15160e6i 0.381012 + 0.659932i
\(404\) 339332. 0.103436
\(405\) 4.50462e6 1.08907e6i 1.36465 0.329927i
\(406\) −698568. −0.210326
\(407\) −283869. 491675.i −0.0849438 0.147127i
\(408\) 422789. + 641245.i 0.125740 + 0.190710i
\(409\) −8467.95 + 14666.9i −0.00250305 + 0.00433541i −0.867274 0.497831i \(-0.834130\pi\)
0.864771 + 0.502166i \(0.167463\pi\)
\(410\) 1.45093e6 2.51308e6i 0.426271 0.738323i
\(411\) 1.30675e6 2.60927e6i 0.381582 0.761930i
\(412\) −1.05404e6 1.82565e6i −0.305924 0.529876i
\(413\) −5.27002e6 −1.52033
\(414\) −147966. + 345159.i −0.0424288 + 0.0989734i
\(415\) 4.33914e6 1.23676
\(416\) 395052. + 684250.i 0.111923 + 0.193857i
\(417\) −3.27668e6 + 194548.i −0.922771 + 0.0547880i
\(418\) 176570. 305828.i 0.0494284 0.0856124i
\(419\) −2.24889e6 + 3.89520e6i −0.625798 + 1.08391i 0.362588 + 0.931949i \(0.381893\pi\)
−0.988386 + 0.151964i \(0.951440\pi\)
\(420\) 4.32105e6 256556.i 1.19527 0.0709673i
\(421\) 217248. + 376285.i 0.0597381 + 0.103469i 0.894348 0.447372i \(-0.147640\pi\)
−0.834610 + 0.550842i \(0.814307\pi\)
\(422\) 245600. 0.0671348
\(423\) 471019. 56129.8i 0.127993 0.0152526i
\(424\) −2.08571e6 −0.563429
\(425\) 1.16819e6 + 2.02336e6i 0.313719 + 0.543377i
\(426\) 1.84423e6 3.68250e6i 0.492370 0.983147i
\(427\) −4.15824e6 + 7.20229e6i −1.10367 + 1.91162i
\(428\) −438372. + 759282.i −0.115673 + 0.200352i
\(429\) 1.52468e6 + 2.31248e6i 0.399976 + 0.606645i
\(430\) −1.66881e6 2.89046e6i −0.435246 0.753868i
\(431\) 5.16700e6 1.33982 0.669908 0.742444i \(-0.266334\pi\)
0.669908 + 0.742444i \(0.266334\pi\)
\(432\) −625834. 740744.i −0.161343 0.190967i
\(433\) 3.95066e6 1.01263 0.506314 0.862349i \(-0.331008\pi\)
0.506314 + 0.862349i \(0.331008\pi\)
\(434\) −1.42405e6 2.46654e6i −0.362913 0.628584i
\(435\) 531864. + 806679.i 0.134765 + 0.204398i
\(436\) −1.28456e6 + 2.22492e6i −0.323621 + 0.560528i
\(437\) 74058.0 128272.i 0.0185510 0.0321313i
\(438\) −1.81853e6 + 3.63118e6i −0.452935 + 0.904405i
\(439\) 243803. + 422279.i 0.0603778 + 0.104577i 0.894634 0.446799i \(-0.147436\pi\)
−0.834257 + 0.551377i \(0.814103\pi\)
\(440\) 1.15673e6 0.284840
\(441\) −4.67092e6 6.24473e6i −1.14368 1.52903i
\(442\) 2.37611e6 0.578511
\(443\) 4027.52 + 6975.87i 0.000975053 + 0.00168884i 0.866513 0.499155i \(-0.166356\pi\)
−0.865537 + 0.500844i \(0.833023\pi\)
\(444\) 613810. 36444.0i 0.147767 0.00877341i
\(445\) −415909. + 720375.i −0.0995630 + 0.172448i
\(446\) −1.31605e6 + 2.27947e6i −0.313283 + 0.542622i
\(447\) 7.55870e6 448785.i 1.78928 0.106236i
\(448\) −452876. 784405.i −0.106607 0.184648i
\(449\) 6.79644e6 1.59098 0.795492 0.605964i \(-0.207212\pi\)
0.795492 + 0.605964i \(0.207212\pi\)
\(450\) −1.76680e6 2.36210e6i −0.411297 0.549878i
\(451\) −2.12866e6 −0.492794
\(452\) 531485. + 920559.i 0.122362 + 0.211936i
\(453\) −1.46735e6 + 2.92996e6i −0.335961 + 0.670835i
\(454\) 20268.6 35106.3i 0.00461514 0.00799365i
\(455\) 6.69553e6 1.15970e7i 1.51620 2.62613i
\(456\) 210530. + 319312.i 0.0474136 + 0.0719123i
\(457\) −199059. 344780.i −0.0445852 0.0772238i 0.842872 0.538115i \(-0.180863\pi\)
−0.887457 + 0.460891i \(0.847530\pi\)
\(458\) 4.89214e6 1.08977
\(459\) −2.87027e6 + 516110.i −0.635903 + 0.114343i
\(460\) 485164. 0.106904
\(461\) 620959. + 1.07553e6i 0.136085 + 0.235706i 0.926011 0.377495i \(-0.123215\pi\)
−0.789926 + 0.613202i \(0.789881\pi\)
\(462\) −1.74785e6 2.65096e6i −0.380976 0.577828i
\(463\) 1.21707e6 2.10802e6i 0.263853 0.457007i −0.703409 0.710785i \(-0.748340\pi\)
0.967263 + 0.253778i \(0.0816732\pi\)
\(464\) 101090. 175093.i 0.0217979 0.0377550i
\(465\) −1.76404e6 + 3.52237e6i −0.378334 + 0.755445i
\(466\) 2.33025e6 + 4.03611e6i 0.497093 + 0.860991i
\(467\) −1.08309e6 −0.229811 −0.114906 0.993376i \(-0.536657\pi\)
−0.114906 + 0.993376i \(0.536657\pi\)
\(468\) −2.97885e6 + 354980.i −0.628686 + 0.0749185i
\(469\) −5.09732e6 −1.07006
\(470\) −306411. 530720.i −0.0639824 0.110821i
\(471\) −6.10377e6 + 362402.i −1.26779 + 0.0752727i
\(472\) 762627. 1.32091e6i 0.157564 0.272909i
\(473\) −1.22416e6 + 2.12030e6i −0.251585 + 0.435758i
\(474\) −4.41109e6 + 261901.i −0.901778 + 0.0535416i
\(475\) 581707. + 1.00755e6i 0.118296 + 0.204895i
\(476\) −2.72391e6 −0.551030
\(477\) 3.12024e6 7.27856e6i 0.627903 1.46470i
\(478\) 5.27808e6 1.05659
\(479\) 1.66906e6 + 2.89090e6i 0.332379 + 0.575698i 0.982978 0.183724i \(-0.0588153\pi\)
−0.650599 + 0.759422i \(0.725482\pi\)
\(480\) −560997. + 1.12018e6i −0.111137 + 0.221914i
\(481\) 951107. 1.64737e6i 0.187442 0.324659i
\(482\) −1.06362e6 + 1.84224e6i −0.208530 + 0.361184i
\(483\) −733091. 1.11188e6i −0.142985 0.216866i
\(484\) 864145. + 1.49674e6i 0.167677 + 0.290425i
\(485\) −6.50003e6 −1.25476
\(486\) 3.52125e6 1.07583e6i 0.676248 0.206611i
\(487\) −5.17210e6 −0.988198 −0.494099 0.869406i \(-0.664502\pi\)
−0.494099 + 0.869406i \(0.664502\pi\)
\(488\) −1.20348e6 2.08449e6i −0.228765 0.396233i
\(489\) −1.63211e6 2.47543e6i −0.308658 0.468143i
\(490\) −5.03741e6 + 8.72504e6i −0.947800 + 1.64164i
\(491\) −303947. + 526452.i −0.0568977 + 0.0985497i −0.893071 0.449915i \(-0.851454\pi\)
0.836174 + 0.548465i \(0.184788\pi\)
\(492\) 1.03237e6 2.06140e6i 0.192275 0.383927i
\(493\) −304013. 526565.i −0.0563345 0.0975742i
\(494\) 1.18320e6 0.218143
\(495\) −1.73048e6 + 4.03669e6i −0.317435 + 0.740478i
\(496\) 824303. 0.150447
\(497\) 7.30289e6 + 1.26490e7i 1.32618 + 2.29702i
\(498\) 3.44130e6 204321.i 0.621797 0.0369182i
\(499\) −1.75645e6 + 3.04226e6i −0.315780 + 0.546947i −0.979603 0.200943i \(-0.935599\pi\)
0.663823 + 0.747890i \(0.268933\pi\)
\(500\) 56677.7 98168.7i 0.0101388 0.0175610i
\(501\) −6.24370e6 + 370710.i −1.11134 + 0.0659841i
\(502\) −951.500 1648.05i −0.000168519 0.000291884i
\(503\) −8.23500e6 −1.45125 −0.725627 0.688088i \(-0.758450\pi\)
−0.725627 + 0.688088i \(0.758450\pi\)
\(504\) 3.41487e6 406939.i 0.598822 0.0713597i
\(505\) 1.66451e6 0.290440
\(506\) −177947. 308213.i −0.0308968 0.0535149i
\(507\) −1.56397e6 + 3.12288e6i −0.270214 + 0.539554i
\(508\) 2.39683e6 4.15143e6i 0.412076 0.713737i
\(509\) 5.30292e6 9.18492e6i 0.907236 1.57138i 0.0893495 0.996000i \(-0.471521\pi\)
0.817887 0.575379i \(-0.195145\pi\)
\(510\) 2.07388e6 + 3.14547e6i 0.353068 + 0.535500i
\(511\) −7.20113e6 1.24727e7i −1.21997 2.11305i
\(512\) 262144. 0.0441942
\(513\) −1.42927e6 + 257000.i −0.239784 + 0.0431162i
\(514\) −108826. −0.0181688
\(515\) −5.17032e6 8.95525e6i −0.859012 1.48785i
\(516\) −1.45961e6 2.21379e6i −0.241330 0.366026i
\(517\) −224769. + 389312.i −0.0369837 + 0.0640576i
\(518\) −1.09032e6 + 1.88849e6i −0.178538 + 0.309237i
\(519\) −661628. + 1.32112e6i −0.107819 + 0.215289i
\(520\) 1.93783e6 + 3.35641e6i 0.314273 + 0.544336i
\(521\) 1.03709e7 1.67388 0.836939 0.547297i \(-0.184343\pi\)
0.836939 + 0.547297i \(0.184343\pi\)
\(522\) 459796. + 614718.i 0.0738566 + 0.0987416i
\(523\) 8.86641e6 1.41740 0.708702 0.705508i \(-0.249281\pi\)
0.708702 + 0.705508i \(0.249281\pi\)
\(524\) 2.65959e6 + 4.60654e6i 0.423142 + 0.732903i
\(525\) 1.04426e7 620013.i 1.65352 0.0981753i
\(526\) 279965. 484913.i 0.0441204 0.0764187i
\(527\) 1.23948e6 2.14684e6i 0.194408 0.336724i
\(528\) 917385. 54468.2i 0.143208 0.00850273i
\(529\) 3.14354e6 + 5.44476e6i 0.488404 + 0.845941i
\(530\) −1.02309e7 −1.58207
\(531\) 3.46872e6 + 4.63746e6i 0.533867 + 0.713746i
\(532\) −1.35639e6 −0.207781
\(533\) −3.56606e6 6.17660e6i −0.543714 0.941740i
\(534\) −295929. + 590901.i −0.0449090 + 0.0896729i
\(535\) −2.15032e6 + 3.72447e6i −0.324802 + 0.562574i
\(536\) 737636. 1.27762e6i 0.110900 0.192084i
\(537\) 1.87759e6 + 2.84774e6i 0.280973 + 0.426152i
\(538\) −3.27684e6 5.67566e6i −0.488090 0.845397i
\(539\) 7.39041e6 1.09571
\(540\) −3.06987e6 3.63353e6i −0.453039 0.536222i
\(541\) −1.22530e6 −0.179990 −0.0899949 0.995942i \(-0.528685\pi\)
−0.0899949 + 0.995942i \(0.528685\pi\)
\(542\) 561582. + 972688.i 0.0821135 + 0.142225i
\(543\) 2.95615e6 + 4.48360e6i 0.430256 + 0.652571i
\(544\) 394178. 682737.i 0.0571078 0.0989137i
\(545\) −6.30107e6 + 1.09138e7i −0.908705 + 1.57392i
\(546\) 4.76402e6 9.51264e6i 0.683899 1.36559i
\(547\) −1.34505e6 2.32969e6i −0.192207 0.332913i 0.753774 0.657134i \(-0.228231\pi\)
−0.945981 + 0.324221i \(0.894898\pi\)
\(548\) −2.99524e6 −0.426070
\(549\) 9.07474e6 1.08141e6i 1.28500 0.153129i
\(550\) 2.79546e6 0.394045
\(551\) −151385. 262207.i −0.0212424 0.0367930i
\(552\) 384775. 22845.4i 0.0537476 0.00319117i
\(553\) 7.83549e6 1.35715e7i 1.08957 1.88718i
\(554\) −1.38562e6 + 2.39996e6i −0.191809 + 0.332223i
\(555\) 3.01089e6 178767.i 0.414918 0.0246351i
\(556\) 1.68455e6 + 2.91773e6i 0.231099 + 0.400275i
\(557\) −5.82722e6 −0.795835 −0.397918 0.917421i \(-0.630267\pi\)
−0.397918 + 0.917421i \(0.630267\pi\)
\(558\) −1.23317e6 + 2.87660e6i −0.167662 + 0.391105i
\(559\) −8.20312e6 −1.11032
\(560\) −2.22147e6 3.84770e6i −0.299344 0.518479i
\(561\) 1.23759e6 2.47117e6i 0.166023 0.331509i
\(562\) 4.21857e6 7.30678e6i 0.563410 0.975855i
\(563\) −4.66117e6 + 8.07338e6i −0.619760 + 1.07346i 0.369769 + 0.929124i \(0.379437\pi\)
−0.989529 + 0.144333i \(0.953896\pi\)
\(564\) −268000. 406476.i −0.0354762 0.0538068i
\(565\) 2.60707e6 + 4.51557e6i 0.343582 + 0.595102i
\(566\) −5.85076e6 −0.767665
\(567\) −3.68857e6 + 1.25258e7i −0.481837 + 1.63624i
\(568\) −4.22722e6 −0.549774
\(569\) −5.38674e6 9.33011e6i −0.697502 1.20811i −0.969330 0.245763i \(-0.920961\pi\)
0.271828 0.962346i \(-0.412372\pi\)
\(570\) 1.03270e6 + 1.56631e6i 0.133134 + 0.201925i
\(571\) 1.66600e6 2.88559e6i 0.213838 0.370378i −0.739075 0.673623i \(-0.764737\pi\)
0.952912 + 0.303246i \(0.0980703\pi\)
\(572\) 1.42150e6 2.46211e6i 0.181659 0.314642i
\(573\) 942025. 1.88101e6i 0.119860 0.239333i
\(574\) 4.08803e6 + 7.08068e6i 0.517886 + 0.897006i
\(575\) 1.17249e6 0.147890
\(576\) −392170. + 914812.i −0.0492513 + 0.114888i
\(577\) 3.94388e6 0.493156 0.246578 0.969123i \(-0.420694\pi\)
0.246578 + 0.969123i \(0.420694\pi\)
\(578\) 1.65428e6 + 2.86530e6i 0.205964 + 0.356739i
\(579\) 3.53782e6 210052.i 0.438570 0.0260394i
\(580\) 495872. 858876.i 0.0612068 0.106013i
\(581\) −6.11284e6 + 1.05877e7i −0.751281 + 1.30126i
\(582\) −5.15506e6 + 306073.i −0.630850 + 0.0374557i
\(583\) 3.75246e6 + 6.49946e6i 0.457241 + 0.791965i
\(584\) 4.16832e6 0.505742
\(585\) −1.46120e7 + 1.74126e6i −1.76530 + 0.210366i
\(586\) −1.02196e7 −1.22939
\(587\) 817286. + 1.41558e6i 0.0978991 + 0.169566i 0.910815 0.412815i \(-0.135454\pi\)
−0.812916 + 0.582381i \(0.802121\pi\)
\(588\) −3.58423e6 + 7.15688e6i −0.427516 + 0.853651i
\(589\) 617208. 1.06904e6i 0.0733066 0.126971i
\(590\) 3.74087e6 6.47939e6i 0.442429 0.766309i
\(591\) −3.69344e6 5.60185e6i −0.434973 0.659724i
\(592\) −315562. 546570.i −0.0370068 0.0640976i
\(593\) 9.45304e6 1.10391 0.551957 0.833873i \(-0.313881\pi\)
0.551957 + 0.833873i \(0.313881\pi\)
\(594\) −1.18234e6 + 3.28291e6i −0.137491 + 0.381762i
\(595\) −1.33614e7 −1.54725
\(596\) −3.88596e6 6.73067e6i −0.448107 0.776145i
\(597\) −6.17553e6 9.36645e6i −0.709151 1.07557i
\(598\) 596213. 1.03267e6i 0.0681787 0.118089i
\(599\) 1.03628e6 1.79489e6i 0.118008 0.204395i −0.800970 0.598704i \(-0.795683\pi\)
0.918978 + 0.394309i \(0.129016\pi\)
\(600\) −1.35575e6 + 2.70712e6i −0.153745 + 0.306994i
\(601\) −5.30513e6 9.18876e6i −0.599115 1.03770i −0.992952 0.118517i \(-0.962186\pi\)
0.393838 0.919180i \(-0.371147\pi\)
\(602\) 9.40383e6 1.05758
\(603\) 3.35505e6 + 4.48549e6i 0.375756 + 0.502362i
\(604\) 3.36336e6 0.375130
\(605\) 4.23884e6 + 7.34189e6i 0.470824 + 0.815492i
\(606\) 1.32009e6 78378.2i 0.146023 0.00866990i
\(607\) −3.67761e6 + 6.36980e6i −0.405129 + 0.701704i −0.994336 0.106278i \(-0.966107\pi\)
0.589207 + 0.807982i \(0.299440\pi\)
\(608\) 196284. 339973.i 0.0215340 0.0372980i
\(609\) −2.71761e6 + 161354.i −0.296923 + 0.0176293i
\(610\) −5.90338e6 1.02250e7i −0.642357 1.11259i
\(611\) −1.50618e6 −0.163221
\(612\) 1.79287e6 + 2.39696e6i 0.193496 + 0.258691i
\(613\) 1.09586e7 1.17789 0.588946 0.808173i \(-0.299543\pi\)
0.588946 + 0.808173i \(0.299543\pi\)
\(614\) 4.29963e6 + 7.44718e6i 0.460268 + 0.797207i
\(615\) 5.06402e6 1.01117e7i 0.539893 1.07804i
\(616\) −1.62957e6 + 2.82249e6i −0.173030 + 0.299696i
\(617\) −1.88984e6 + 3.27330e6i −0.199854 + 0.346157i −0.948481 0.316835i \(-0.897380\pi\)
0.748627 + 0.662991i \(0.230713\pi\)
\(618\) −4.52217e6 6.85879e6i −0.476295 0.722398i
\(619\) 246460. + 426881.i 0.0258535 + 0.0447796i 0.878663 0.477443i \(-0.158436\pi\)
−0.852809 + 0.522223i \(0.825103\pi\)
\(620\) 4.04341e6 0.422443
\(621\) −495902. + 1.37694e6i −0.0516021 + 0.143280i
\(622\) −1.47048e6 −0.152399
\(623\) −1.17184e6 2.02968e6i −0.120961 0.209511i
\(624\) 1.69490e6 + 2.57066e6i 0.174254 + 0.264292i
\(625\) 5.01978e6 8.69452e6i 0.514026 0.890319i
\(626\) −365487. + 633042.i −0.0372766 + 0.0645649i
\(627\) 616264. 1.23054e6i 0.0626034 0.125004i
\(628\) 3.13797e6 + 5.43513e6i 0.317505 + 0.549934i
\(629\) −1.89801e6 −0.191281
\(630\) 1.67508e7 1.99614e6i 1.68145 0.200373i
\(631\) −1.31134e6 −0.131112 −0.0655558 0.997849i \(-0.520882\pi\)
−0.0655558 + 0.997849i \(0.520882\pi\)
\(632\) 2.26776e6 + 3.92787e6i 0.225842 + 0.391169i
\(633\) 955450. 56728.3i 0.0947761 0.00562718i
\(634\) −1.72993e6 + 2.99632e6i −0.170925 + 0.296050i
\(635\) 1.17570e7 2.03638e7i 1.15708 2.00412i
\(636\) −8.11396e6 + 481753.i −0.795408 + 0.0472261i
\(637\) 1.23808e7 + 2.14442e7i 1.20893 + 2.09393i
\(638\) −727497. −0.0707587
\(639\) 6.32397e6 1.47519e7i 0.612685 1.42921i
\(640\) 1.28588e6 0.124094
\(641\) −692306. 1.19911e6i −0.0665508 0.115269i 0.830830 0.556526i \(-0.187866\pi\)
−0.897381 + 0.441257i \(0.854533\pi\)
\(642\) −1.53000e6 + 3.05506e6i −0.146506 + 0.292538i
\(643\) −3.97132e6 + 6.87852e6i −0.378797 + 0.656096i −0.990888 0.134692i \(-0.956996\pi\)
0.612090 + 0.790788i \(0.290329\pi\)
\(644\) −683482. + 1.18383e6i −0.0649400 + 0.112479i
\(645\) −7.15973e6 1.08592e7i −0.677637 1.02777i
\(646\) −590292. 1.02242e6i −0.0556527 0.0963932i
\(647\) −2.30348e6 −0.216334 −0.108167 0.994133i \(-0.534498\pi\)
−0.108167 + 0.994133i \(0.534498\pi\)
\(648\) −2.60576e6 2.73713e6i −0.243779 0.256070i
\(649\) −5.48826e6 −0.511474
\(650\) 4.68311e6 + 8.11138e6i 0.434761 + 0.753029i
\(651\) −6.10966e6 9.26655e6i −0.565021 0.856970i
\(652\) −1.52166e6 + 2.63560e6i −0.140185 + 0.242807i
\(653\) 3.96246e6 6.86318e6i 0.363649 0.629858i −0.624910 0.780697i \(-0.714864\pi\)
0.988558 + 0.150839i \(0.0481975\pi\)
\(654\) −4.48336e6 + 8.95222e6i −0.409882 + 0.818439i
\(655\) 1.30459e7 + 2.25962e7i 1.18815 + 2.05794i
\(656\) −2.36633e6 −0.214692
\(657\) −6.23584e6 + 1.45463e7i −0.563614 + 1.31474i
\(658\) 1.72665e6 0.155467
\(659\) −4.75895e6 8.24275e6i −0.426872 0.739364i 0.569721 0.821838i \(-0.307051\pi\)
−0.996593 + 0.0824739i \(0.973718\pi\)
\(660\) 4.50000e6 267180.i 0.402117 0.0238751i
\(661\) −6.42742e6 + 1.11326e7i −0.572181 + 0.991046i 0.424161 + 0.905587i \(0.360569\pi\)
−0.996342 + 0.0854592i \(0.972764\pi\)
\(662\) 5.99520e6 1.03840e7i 0.531690 0.920914i
\(663\) 9.24370e6 548830.i 0.816699 0.0484902i
\(664\) −1.76918e6 3.06432e6i −0.155723 0.269720i
\(665\) −6.65342e6 −0.583433
\(666\) 2.37947e6 283554.i 0.207871 0.0247713i
\(667\) −305131. −0.0265565
\(668\) 3.20991e6 + 5.55973e6i 0.278325 + 0.482073i
\(669\) −4.59329e6 + 9.17172e6i −0.396788 + 0.792293i
\(670\) 3.61829e6 6.26706e6i 0.311398 0.539358i
\(671\) −4.33045e6 + 7.50055e6i −0.371301 + 0.643112i
\(672\) −1.94299e6 2.94694e6i −0.165977 0.251737i
\(673\) −3.27549e6 5.67332e6i −0.278766 0.482836i 0.692313 0.721598i \(-0.256592\pi\)
−0.971078 + 0.238762i \(0.923259\pi\)
\(674\) 2.87311e6 0.243614
\(675\) −7.41890e6 8.78108e6i −0.626730 0.741803i
\(676\) 3.58482e6 0.301718
\(677\) −4.58192e6 7.93613e6i −0.384217 0.665483i 0.607443 0.794363i \(-0.292195\pi\)
−0.991660 + 0.128880i \(0.958862\pi\)
\(678\) 2.28025e6 + 3.45846e6i 0.190505 + 0.288940i
\(679\) 9.15702e6 1.58604e7i 0.762219 1.32020i
\(680\) 1.93354e6 3.34899e6i 0.160355 0.277742i
\(681\) 70741.5 141254.i 0.00584530 0.0116717i
\(682\) −1.48303e6 2.56868e6i −0.122092 0.211470i
\(683\) 8.96737e6 0.735552 0.367776 0.929914i \(-0.380119\pi\)
0.367776 + 0.929914i \(0.380119\pi\)
\(684\) 892773. + 1.19358e6i 0.0729627 + 0.0975465i
\(685\) −1.46924e7 −1.19637
\(686\) −6.75995e6 1.17086e7i −0.548445 0.949935i
\(687\) 1.90317e7 1.12998e6i 1.53846 0.0913435i
\(688\) −1.36083e6 + 2.35703e6i −0.109606 + 0.189843i
\(689\) −1.25727e7 + 2.17765e7i −1.00897 + 1.74759i
\(690\) 1.88741e6 112062.i 0.150919 0.00896058i
\(691\) −6.85931e6 1.18807e7i −0.546494 0.946555i −0.998511 0.0545458i \(-0.982629\pi\)
0.452018 0.892009i \(-0.350704\pi\)
\(692\) 1.51654e6 0.120389
\(693\) −7.41189e6 9.90923e6i −0.586268 0.783803i
\(694\) −1.49970e7 −1.18197
\(695\) 8.26315e6 + 1.43122e7i 0.648909 + 1.12394i
\(696\) 352825. 704508.i 0.0276080 0.0551268i
\(697\) −3.55818e6 + 6.16294e6i −0.277425 + 0.480514i
\(698\) 4.66716e6 8.08376e6i 0.362589 0.628022i
\(699\) 9.99754e6 + 1.51633e7i 0.773927 + 1.17382i
\(700\) −5.36859e6 9.29866e6i −0.414109 0.717258i
\(701\) 3.42100e6 0.262941 0.131470 0.991320i \(-0.458030\pi\)
0.131470 + 0.991320i \(0.458030\pi\)
\(702\) −1.15065e7 + 2.06901e6i −0.881254 + 0.158460i
\(703\) −945126. −0.0721276
\(704\) −471631. 816889.i −0.0358650 0.0621200i
\(705\) −1.31461e6 1.99387e6i −0.0996145 0.151086i
\(706\) −8.69138e6 + 1.50539e7i −0.656262 + 1.13668i
\(707\) −2.34490e6 + 4.06149e6i −0.176431 + 0.305588i
\(708\) 2.66172e6 5.31483e6i 0.199563 0.398480i
\(709\) −6.61125e6 1.14510e7i −0.493933 0.855516i 0.506043 0.862508i \(-0.331108\pi\)
−0.999976 + 0.00699191i \(0.997774\pi\)
\(710\) −2.07356e7 −1.54373
\(711\) −1.70998e7 + 2.03773e6i −1.26858 + 0.151172i
\(712\) 678308. 0.0501449
\(713\) −622020. 1.07737e6i −0.0458227 0.0793672i
\(714\) −1.05967e7 + 629163.i −0.777904 + 0.0461868i
\(715\) 6.97281e6 1.20773e7i 0.510085 0.883493i
\(716\) 1.75053e6 3.03201e6i 0.127611 0.221028i
\(717\) 2.05331e7 1.21912e6i 1.49162 0.0885623i
\(718\) 5.42563e6 + 9.39746e6i 0.392770 + 0.680298i
\(719\) −6.17969e6 −0.445804 −0.222902 0.974841i \(-0.571553\pi\)
−0.222902 + 0.974841i \(0.571553\pi\)
\(720\) −1.92369e6 + 4.48738e6i −0.138294 + 0.322598i
\(721\) 2.91351e7 2.08727
\(722\) 4.65826e6 + 8.06834e6i 0.332568 + 0.576025i
\(723\) −3.71224e6 + 7.41248e6i −0.264113 + 0.527373i
\(724\) 2.75611e6 4.77372e6i 0.195411 0.338462i
\(725\) 1.19836e6 2.07563e6i 0.0846728 0.146658i
\(726\) 3.70747e6 + 5.62313e6i 0.261057 + 0.395946i
\(727\) 4.83384e6 + 8.37245e6i 0.339200 + 0.587512i 0.984282 0.176601i \(-0.0565103\pi\)
−0.645082 + 0.764113i \(0.723177\pi\)
\(728\) −1.09198e7 −0.763634
\(729\) 1.34501e7 4.99861e6i 0.937360 0.348362i
\(730\) 2.04466e7 1.42009
\(731\) 4.09249e6 + 7.08841e6i 0.283266 + 0.490631i
\(732\) −5.16334e6 7.83125e6i −0.356166 0.540199i
\(733\) −1.13678e7 + 1.96895e7i −0.781475 + 1.35355i 0.149608 + 0.988745i \(0.452199\pi\)
−0.931082 + 0.364809i \(0.881134\pi\)
\(734\) −7.83256e6 + 1.35664e7i −0.536616 + 0.929446i
\(735\) −1.75815e7 + 3.51062e7i −1.20043 + 2.39699i
\(736\) −197814. 342624.i −0.0134606 0.0233144i
\(737\) −5.30842e6 −0.359995
\(738\) 3.54005e6 8.25784e6i 0.239259 0.558117i
\(739\) 2.13860e7 1.44052 0.720260 0.693704i \(-0.244022\pi\)
0.720260 + 0.693704i \(0.244022\pi\)
\(740\) −1.54791e6 2.68106e6i −0.103912 0.179981i
\(741\) 4.60296e6 273293.i 0.307958 0.0182845i
\(742\) 1.44130e7 2.49640e7i 0.961045 1.66458i
\(743\) −4.30567e6 + 7.45765e6i −0.286134 + 0.495598i −0.972884 0.231296i \(-0.925704\pi\)
0.686750 + 0.726894i \(0.259037\pi\)
\(744\) 3.20676e6 190396.i 0.212390 0.0126103i
\(745\) −1.90616e7 3.30156e7i −1.25825 2.17936i
\(746\) 7.12257e6 0.468587
\(747\) 1.33404e7 1.58973e6i 0.874714 0.104237i
\(748\) −2.83671e6 −0.185379
\(749\) −6.05860e6 1.04938e7i −0.394610 0.683484i
\(750\) 197816. 394993.i 0.0128413 0.0256411i
\(751\) 3.62736e6 6.28277e6i 0.234688 0.406491i −0.724494 0.689281i \(-0.757927\pi\)
0.959182 + 0.282790i \(0.0912599\pi\)
\(752\) −249864. + 432777.i −0.0161124 + 0.0279074i
\(753\) −4082.25 6191.56i −0.000262369 0.000397935i
\(754\) −1.21875e6 2.11093e6i −0.0780701 0.135221i
\(755\) 1.64981e7 1.05334
\(756\) 1.31907e7 2.37186e6i 0.839392 0.150933i
\(757\) −3.04305e6 −0.193005 −0.0965027 0.995333i \(-0.530766\pi\)
−0.0965027 + 0.995333i \(0.530766\pi\)
\(758\) 1.26348e6 + 2.18841e6i 0.0798721 + 0.138343i
\(759\) −763450. 1.15793e6i −0.0481034 0.0729586i
\(760\) 962820. 1.66765e6i 0.0604660 0.104730i
\(761\) 1.33530e7 2.31282e7i 0.835832 1.44770i −0.0575199 0.998344i \(-0.518319\pi\)
0.893352 0.449359i \(-0.148347\pi\)
\(762\) 8.36540e6 1.67038e7i 0.521914 1.04214i
\(763\) −1.77535e7 3.07499e7i −1.10401 1.91220i
\(764\) −2.15925e6 −0.133835
\(765\) 8.79449e6 +